100000 1000000000000000000 434500145 420617007 217340222 309559291 1000000000000000000 239186550 170983097 36773433 215915194 1000000000000000000 815436322 141561847 314844483 254540476 1000000000000000000 365610511 221091342 137100924 154473690 1000000000000000000 580997309 124381797 223791043 358423717 1000000000000000000 136345836 41523369 134972815 123881640 1000000000000000000 367302015 16475603 270228688 92965326 1000000000000000000 129280454 124456122 128386570 63992264 1000000000000000000 430147397 159479384 389136586 290912060 1000000000000000000 176993682 825397 145453919 112920312 1000000000000000000 487807227 483040795 384738127 248992161 1000000000000000000 631757630 390180930 313116469 213702419 1000000000000000000 299020235 122151292 125443199 221397159 1000000000000000000 795805349 489027457 648248313 767423904 1000000000000000000 617739265 472688240 508057850 580992955 1000000000000000000 946585364 451726132 831541459 188506649 1000000000000000000 311206918 74047615 220711460 58584867 1000000000000000000 584171084 62372327 289057312 523057885 1000000000000000000 126118607 124966291 87072329 122890008 1000000000000000000 255061908 216531937 121398490 163149324 1000000000000000000 65799334 43791044 61676757 11734952 1000000000000000000 133043848 65074194 51110353 93522182 1000000000000000000 760470771 264182905 686583031 431753008 1000000000000000000 775378604 689036547 337778623 399085194 1000000000000000000 689596597 651370762 53895403 342695438 1000000000000000000 429197862 200016693 111847786 49869803 1000000000000000000 969337194 584879110 903937323 677057744 1000000000000000000 398635368 26038758 395028827 183150028 1000000000000000000 490096852 186218365 19101550 414531656 1000000000000000000 433365128 255043530 377268955 357185532 1000000000000000000 763509883 662277543 527108985 51967004 1000000000000000000 123810435 70511983 15753870 70543062 1000000000000000000 395832004 37353870 160083242 326673472 1000000000000000000 876461180 706656314 242720469 259423949 1000000000000000000 51114423 18310641 13055210 38161428 1000000000000000000 541721708 166338674 487172313 281089147 1000000000000000000 326225347 15931550 299122304 113323279 1000000000000000000 983075792 34531516 583343703 109088921 1000000000000000000 213904113 19888305 46375421 206765801 1000000000000000000 418635043 300833617 311858003 273967353 1000000000000000000 947856119 921901348 646956377 917743320 1000000000000000000 862613907 272045070 330240878 24091133 1000000000000000000 363390493 26212481 282784425 77203462 1000000000000000000 590285208 208820849 20959432 420544938 1000000000000000000 391247820 35993782 361021845 2993983 1000000000000000000 261340412 25360226 228671041 185131042 1000000000000000000 22936236 8513177 8277036 18845089 1000000000000000000 862317163 302463831 248696368 372702721 1000000000000000000 42539385 31564153 14692333 21383192 1000000000000000000 313992687 187593289 109489870 164286128 1000000000000000000 493931776 187848796 353367755 255888812 1000000000000000000 685779782 642437571 536641428 398120492 1000000000000000000 906418852 686217106 705154581 96964087 1000000000000000000 443724914 238683638 221134463 118236103 1000000000000000000 695081309 229560273 246399897 562912393 1000000000000000000 756644660 181686284 190504623 476868312 1000000000000000000 980870809 168154822 155474224 464940236 1000000000000000000 825435919 265304646 773285995 435337934 1000000000000000000 362984364 307010886 254417049 76147420 1000000000000000000 441771729 289231154 229229563 439955354 1000000000000000000 204253668 200036508 153867632 30786027 1000000000000000000 97448104 82240792 58697355 77139812 1000000000000000000 188764482 32121667 26560142 80156882 1000000000000000000 606916467 91064583 17684777 174772913 1000000000000000000 240046885 185722913 210548198 169874253 1000000000000000000 792865612 384400844 261952315 619333524 1000000000000000000 144843031 130661947 18195853 50861737 1000000000000000000 179659302 163790280 111596968 131859659 1000000000000000000 796134439 330865827 15064011 289999893 1000000000000000000 181528696 96195632 32233420 145781959 1000000000000000000 565121541 315403488 19386174 504250814 1000000000000000000 253048213 173080843 90348648 59554328 1000000000000000000 831450579 450766169 715951160 770617022 1000000000000000000 159317473 138257955 83425229 4319062 1000000000000000000 232259975 77588110 153715325 101672018 1000000000000000000 56885733 1339007 34180177 2655276 1000000000000000000 87769755 2164106 50800396 26968196 1000000000000000000 71513370 34124957 17056668 53808158 1000000000000000000 771347866 170777951 247953046 419312897 1000000000000000000 875547186 223020220 34024189 282131090 1000000000000000000 714003533 492286426 306829848 212651744 1000000000000000000 166017207 40635988 44541742 64500848 1000000000000000000 680736259 575782959 144371929 340004578 1000000000000000000 502593134 352974168 491133369 302890076 1000000000000000000 879476794 729517624 88302264 228051531 1000000000000000000 957051447 77417375 914920779 88184961 1000000000000000000 763556481 111144542 735817204 539651460 1000000000000000000 580321972 482853853 404132587 387978671 1000000000000000000 228486556 15570068 72928554 186352870 1000000000000000000 913555060 406985389 185182764 748418215 1000000000000000000 977878255 721994896 866099868 568850989 1000000000000000000 440868491 201602011 277898227 284883800 1000000000000000000 412819341 206014668 314212034 132523282 1000000000000000000 580046035 235016776 410481823 127214708 1000000000000000000 527011583 418340746 472655823 212309139 1000000000000000000 923132543 178589992 665259939 14278205 1000000000000000000 410976820 4247561 94087570 237871026 1000000000000000000 805357059 222600424 610221213 406560030 1000000000000000000 659167893 177297548 143378206 138914007 1000000000000000000 949905387 385344605 57955649 453914099 1000000000000000000 53200177 10319581 14710762 53160336 1000000000000000000 454165853 196609909 252348869 56835777 1000000000000000000 993102883 77447366 776821323 933856328 1000000000000000000 17122387 6205508 9295964 3857863 1000000000000000000 591854464 260101138 249155335 186954678 1000000000000000000 590384424 500289771 393624472 129658377 1000000000000000000 445447893 393343406 113792613 203913794 1000000000000000000 607036472 292642600 408366365 589471180 1000000000000000000 720549983 145581302 83841668 632008127 1000000000000000000 839880953 224194163 585347674 580493651 1000000000000000000 625201249 245177152 265636932 567716732 1000000000000000000 677465057 325733340 310730795 440150899 1000000000000000000 208388778 105347461 55568769 82707252 1000000000000000000 270505578 22350057 95271958 50666333 1000000000000000000 896381262 157409139 213624311 681673403 1000000000000000000 169027669 12201499 138237822 30452776 1000000000000000000 77018110 58459796 74394048 3033802 1000000000000000000 566546903 18025166 74313887 402965717 1000000000000000000 199402465 168913826 128060255 150413079 1000000000000000000 830551987 537106228 122766771 14564224 1000000000000000000 318908566 196651542 257555841 37020204 1000000000000000000 522999089 199724786 123557513 396733008 1000000000000000000 195953858 110238307 142785885 160854964 1000000000000000000 720356321 64999985 155422032 716647878 1000000000000000000 212170163 211336125 122119037 140820625 1000000000000000000 289770045 228149787 248033434 58104780 1000000000000000000 110598675 87797540 56687328 88243484 1000000000000000000 34195206 18065573 31823671 31481372 1000000000000000000 122862059 2013880 58017261 109975180 1000000000000000000 733959516 415473270 361961864 51543473 1000000000000000000 868898627 828234693 474037974 662790961 1000000000000000000 329192910 195922333 327094951 278354493 1000000000000000000 452577261 76422298 66129961 260651997 1000000000000000000 795016564 512760695 579592598 741891293 1000000000000000000 575925296 290052422 295322326 124177112 1000000000000000000 497882223 296416933 484040899 391144381 1000000000000000000 338122029 75402994 326813283 45510658 1000000000000000000 179668415 129522494 41099343 107278258 1000000000000000000 829201590 345690642 556497302 333536373 1000000000000000000 46071871 32176025 622261 35041006 1000000000000000000 255442676 170330709 171431070 172641229 1000000000000000000 497811696 265935432 417121934 492411608 1000000000000000000 164340289 121281689 155970035 111860331 1000000000000000000 918011184 527668043 248485127 534607551 1000000000000000000 176451734 163386007 165788705 86628853 1000000000000000000 712899534 560356420 221838367 489452320 1000000000000000000 13391865 1450453 3441463 8062235 1000000000000000000 768302361 726024714 559739955 743098578 1000000000000000000 402241986 369586073 92674008 384349306 1000000000000000000 528088335 151340224 93033198 291872277 1000000000000000000 596694042 587519175 553188715 556284109 1000000000000000000 131718978 97174638 4067687 125577928 1000000000000000000 786320135 102739054 532821104 436320898 1000000000000000000 621606002 511093725 99788999 54024066 1000000000000000000 711377194 441425553 308281383 404206818 1000000000000000000 624391992 306986275 500613749 361663176 1000000000000000000 343508386 265992171 219748615 152910494 1000000000000000000 508468428 112670156 51100470 68198045 1000000000000000000 286244379 242089183 51667066 159507159 1000000000000000000 816953155 559885410 7448289 182400135 1000000000000000000 503270017 69006879 299585697 400617800 1000000000000000000 642156706 147164817 249354198 188903940 1000000000000000000 423241799 83890903 260146907 369689237 1000000000000000000 444209958 34641053 392348445 201487287 1000000000000000000 960640297 117499622 530692563 356452381 1000000000000000000 508330380 394197254 412036502 350660246 1000000000000000000 16939979 13281823 11646289 9909221 1000000000000000000 834447625 273510867 342115082 34040403 1000000000000000000 742189858 234810191 284970890 124257734 1000000000000000000 824711855 234700708 485604358 625578854 1000000000000000000 105245669 21266367 82304307 102586237 1000000000000000000 887200062 239910008 405139610 250146442 1000000000000000000 36720521 24647843 13034341 21391445 1000000000000000000 233962195 230708337 150835884 164294299 1000000000000000000 993915768 893192610 888767789 896894788 1000000000000000000 778187242 433441857 513158692 398850465 1000000000000000000 967897751 376349347 122673457 418487969 1000000000000000000 653167070 600348437 93064045 532620896 1000000000000000000 189606499 111188703 64080229 124328679 1000000000000000000 436968352 120816316 43523894 134110171 1000000000000000000 708173438 305455215 94048798 81675886 1000000000000000000 243086951 108369778 231749287 132101290 1000000000000000000 868876995 604476323 328271610 674318497 1000000000000000000 334268618 73213959 273436353 242520744 1000000000000000000 563100792 153331961 19480238 141138014 1000000000000000000 708049265 158182746 668063555 609200722 1000000000000000000 999432448 3616552 969175809 757715513 1000000000000000000 862152681 591452163 783373877 511225921 1000000000000000000 698699596 624913236 82867100 182363105 1000000000000000000 22358857 435700 22123735 12266580 1000000000000000000 981399563 429359445 971907100 464358172 1000000000000000000 957398544 283639966 718501353 503145863 1000000000000000000 740896262 21041641 209151675 403455120 1000000000000000000 910792562 573398404 230275406 786063486 1000000000000000000 623144106 374929579 255702610 354417356 1000000000000000000 872404429 483533819 488891806 100958988 1000000000000000000 541475706 234209142 166244857 42920024 1000000000000000000 410317782 335336810 30323769 369642333 1000000000000000000 406081240 54134576 283046321 228899634 1000000000000000000 724656442 252718435 491922432 353818659 1000000000000000000 664059703 117019598 393295931 289128077 1000000000000000000 982452482 563974129 394084754 271991992 1000000000000000000 824308874 344280702 734418578 690769178 1000000000000000000 591895815 218527469 85110157 24854520 1000000000000000000 429038332 252764199 275958692 108245142 1000000000000000000 103537841 97652933 81592279 38674818 1000000000000000000 740137979 538846414 312948204 247485453 1000000000000000000 849008695 63015680 359891 666871949 1000000000000000000 286086623 22059132 211413029 253678109 1000000000000000000 405652314 199075240 77231199 103602977 1000000000000000000 872424316 803570357 769100242 735695444 1000000000000000000 317761963 191320150 152957230 26285828 1000000000000000000 133828215 29817926 91873737 6019845 1000000000000000000 236616631 23286524 225731623 198937039 1000000000000000000 663080872 61221663 526134444 13627797 1000000000000000000 33922104 7472300 25295699 33786776 1000000000000000000 30153298 17060354 29800830 8264556 1000000000000000000 105103107 68913364 79743578 102056692 1000000000000000000 183799749 143156104 64982717 65325629 1000000000000000000 240689532 205402565 197019318 83076389 1000000000000000000 85829147 73081242 76836439 11292343 1000000000000000000 766537344 444622701 62208046 551239537 1000000000000000000 307558688 147782651 174675759 112289265 1000000000000000000 720470776 435924780 614778734 643809690 1000000000000000000 545322248 508354631 378400 166137851 1000000000000000000 181794862 20193993 160065869 23973579 1000000000000000000 831357779 773556244 232271558 522434196 1000000000000000000 118522548 28274391 33084510 11767747 1000000000000000000 512372756 342977942 10479814 321236383 1000000000000000000 783705210 159221709 79450644 246906675 1000000000000000000 48492034 26392195 35507476 24111385 1000000000000000000 550359309 370935207 350373879 471318620 1000000000000000000 917354917 462664692 663659669 646216241 1000000000000000000 749073232 154013651 596966685 104361752 1000000000000000000 764514759 642674192 130739675 680718837 1000000000000000000 611098132 552765553 464760239 221875747 1000000000000000000 747779930 494017448 153339239 582303540 1000000000000000000 280360497 85679958 255030282 249535994 1000000000000000000 321670534 39847186 56286942 90550156 1000000000000000000 662617675 571774534 395394430 60974538 1000000000000000000 791343927 564152571 261673921 607905981 1000000000000000000 64258353 62327967 27088306 42065132 1000000000000000000 306344570 36292670 224839853 44590722 1000000000000000000 864768733 511176665 549999911 545442862 1000000000000000000 182360657 32148030 24633605 139564040 1000000000000000000 105384919 87734305 89434561 34014842 1000000000000000000 60904315 22732688 29023287 2338018 1000000000000000000 517101796 227482376 175834115 361246663 1000000000000000000 497689524 254369262 151579619 407787499 1000000000000000000 781475326 584657248 658750812 539241903 1000000000000000000 12981675 11966733 8922653 4124791 1000000000000000000 780025744 311221521 662460764 326737822 1000000000000000000 72906455 6864815 40468801 46691402 1000000000000000000 24173577 9334877 3179605 19187475 1000000000000000000 468735204 275481990 141317758 396188895 1000000000000000000 655089206 229225790 189496489 83651606 1000000000000000000 632683216 251448748 599725508 258362572 1000000000000000000 848090487 666136306 824788874 656514628 1000000000000000000 140523036 104799263 1881009 117984925 1000000000000000000 921250904 606682136 841655317 871005533 1000000000000000000 36284186 32654974 32862162 24882885 1000000000000000000 165162982 130249391 135583087 69727668 1000000000000000000 731670392 401672450 523760699 422748740 1000000000000000000 119402594 96505346 76414980 15680100 1000000000000000000 739909594 509077462 213467250 513511874 1000000000000000000 522135310 243870837 78609081 257385260 1000000000000000000 671662612 116824437 168611940 253410273 1000000000000000000 754078046 501822956 281188085 94261138 1000000000000000000 526204581 517639564 438038885 194044873 1000000000000000000 611554867 307242724 224752907 6999020 1000000000000000000 719434161 205364668 48746281 191394285 1000000000000000000 751104701 58134275 716880636 11291498 1000000000000000000 239632629 115823389 196416017 44198525 1000000000000000000 461249631 438426540 291224078 282586232 1000000000000000000 947279375 575877000 663586198 901063771 1000000000000000000 50046129 23183012 20202567 41064605 1000000000000000000 560520623 97446957 345839097 485241553 1000000000000000000 546188538 427478654 512143386 1579886 1000000000000000000 721334023 53506829 184724275 560937720 1000000000000000000 18948274 9732261 16990976 3725019 1000000000000000000 470674884 48111078 444673802 351384087 1000000000000000000 945989257 787926975 169682583 192115380 1000000000000000000 215794296 2765843 164407576 139490755 1000000000000000000 45074127 3290752 9472194 24091360 1000000000000000000 402177763 101421852 166492081 25495957 1000000000000000000 660954472 316079878 622715825 244716366 1000000000000000000 659740202 309408278 448967716 584088217 1000000000000000000 340383447 297113157 211375729 24120846 1000000000000000000 470196496 282352870 278829427 403435673 1000000000000000000 346870714 322430461 204467775 121311026 1000000000000000000 156348633 963136 109755729 27973766 1000000000000000000 591083376 60768924 318735557 576807647 1000000000000000000 371348525 223245578 42273542 234278339 1000000000000000000 304107680 262740616 281607165 53725203 1000000000000000000 477649122 386636823 354305333 324154155 1000000000000000000 839548216 26664737 678197962 529027384 1000000000000000000 696294587 595157651 54054682 25662172 1000000000000000000 674610029 434013038 350174295 613783907 1000000000000000000 200405734 79737922 137996218 139473310 1000000000000000000 12816786 3226205 8046356 353133 1000000000000000000 755839936 70153194 487888553 663125340 1000000000000000000 394779673 315688454 83849580 348631682 1000000000000000000 603491560 207070394 453561815 139120763 1000000000000000000 292719662 80881326 227541050 238456076 1000000000000000000 601898537 186758477 229703600 306531622 1000000000000000000 251349175 195646791 202756588 106526936 1000000000000000000 770897767 284378111 400790180 498552111 1000000000000000000 115803228 56481238 48831488 14031995 1000000000000000000 339196564 307866689 123250978 330462768 1000000000000000000 659375421 658341902 293978696 208077888 1000000000000000000 779023402 148517317 108946816 724823650 1000000000000000000 285434076 45221154 83785642 34624392 1000000000000000000 359810411 284087312 92028473 193685858 1000000000000000000 78584642 39807610 20658741 78413795 1000000000000000000 597139142 492854187 527281620 359350420 1000000000000000000 440604396 345395351 222221277 248257808 1000000000000000000 3502889 327553 1495975 2191262 1000000000000000000 728395536 577616268 268811673 503460342 1000000000000000000 66182419 22394913 62373521 18847301 1000000000000000000 303298156 199690593 21046669 12230621 1000000000000000000 240913267 240875982 88512808 21669785 1000000000000000000 944473780 513799520 415058657 13221581 1000000000000000000 136283462 116060946 98809777 44668725 1000000000000000000 654830088 143687220 180434064 391179293 1000000000000000000 953285320 234774977 644120712 105559138 1000000000000000000 674488902 396942382 570040380 168613510 1000000000000000000 970685310 162045765 272214700 194340593 1000000000000000000 507603587 456892993 150727258 492777498 1000000000000000000 382850204 225504779 27294959 179971044 1000000000000000000 134616668 83790177 46546859 96556063 1000000000000000000 586581255 42730360 471840422 509254345 1000000000000000000 388085943 317598049 329601714 298023330 1000000000000000000 982254000 917021162 321640133 560721464 1000000000000000000 52259484 38624291 4742184 7011086 1000000000000000000 268276290 239365709 94183053 47392495 1000000000000000000 170693535 165277360 79518807 126583364 1000000000000000000 843003497 406476686 34431282 101742452 1000000000000000000 495723821 391848715 18571963 381763219 1000000000000000000 692887833 556743312 129860603 124492907 1000000000000000000 195336187 6448934 138196389 100207090 1000000000000000000 658448216 601478351 354043642 62626693 1000000000000000000 553858074 294008709 517829008 357013736 1000000000000000000 277931460 117712000 63612985 20426140 1000000000000000000 794430514 611941765 666400770 617991700 1000000000000000000 932795761 297580669 895620929 706624303 1000000000000000000 623675581 206162813 306332929 456187848 1000000000000000000 647263933 485611124 160401105 275230068 1000000000000000000 625555937 129746688 119011002 45402470 1000000000000000000 922156751 602241279 56220545 78078981 1000000000000000000 704233799 413773339 108873358 390332479 1000000000000000000 315731236 33980384 101059213 3420449 1000000000000000000 64038005 20843020 20882665 38868389 1000000000000000000 603325622 585672270 308821093 601774677 1000000000000000000 12026055 9202287 10436314 5039406 1000000000000000000 399581943 13304900 287139797 179920461 1000000000000000000 469125512 128246192 257782080 305516391 1000000000000000000 768510286 66867305 188580082 706869828 1000000000000000000 4200123 4172977 3642849 732338 1000000000000000000 990899222 909465812 89938008 572789940 1000000000000000000 268223992 215800699 248741258 176453157 1000000000000000000 603308047 593576455 311984058 499044610 1000000000000000000 708210622 400073837 374785210 93604337 1000000000000000000 131176028 52110846 4531037 125598533 1000000000000000000 786024119 38958090 85645421 595324271 1000000000000000000 378955627 132059343 44937144 332380382 1000000000000000000 5489881 5256938 322905 2191490 1000000000000000000 955380930 544855881 887244904 909590149 1000000000000000000 504351264 453048669 222583756 331958561 1000000000000000000 88217843 34164977 80054847 11931469 1000000000000000000 661984215 587336501 180916802 390165850 1000000000000000000 992398872 280778250 650915844 513717479 1000000000000000000 336601735 159173700 274711696 329800805 1000000000000000000 451865439 99846490 251890344 332910341 1000000000000000000 345411564 28466107 294714963 89888969 1000000000000000000 930929860 474432901 868632031 207913597 1000000000000000000 341394910 248724306 224242528 72826479 1000000000000000000 368903581 302456299 297704389 218741353 1000000000000000000 374940441 292667628 195968738 30612962 1000000000000000000 661108042 192449878 203326736 67486475 1000000000000000000 762560132 348923958 426337414 710228834 1000000000000000000 178455767 46731420 102652262 108476993 1000000000000000000 865542971 727166185 207646320 844906450 1000000000000000000 972279321 551500379 147724413 69357129 1000000000000000000 656983814 329830713 30347095 278137870 1000000000000000000 539318225 368996479 107898522 62026136 1000000000000000000 611129276 19996134 522101546 151013339 1000000000000000000 934862748 3717777 165486453 331936050 1000000000000000000 620297117 175116946 309813635 218933668 1000000000000000000 820477074 530435565 818613838 300111447 1000000000000000000 823815681 662325790 630643896 458601643 1000000000000000000 58783265 497900 39607452 6063084 1000000000000000000 22275981 22180706 20520153 3161775 1000000000000000000 409988623 302324668 244112738 176105459 1000000000000000000 775921387 728306637 66282374 418788573 1000000000000000000 241524232 67855251 239259975 126202578 1000000000000000000 145133780 60472803 115235509 142363742 1000000000000000000 757591255 322506689 97413149 397690694 1000000000000000000 251795300 167620976 67375932 100851198 1000000000000000000 825736229 247919991 520349497 666867246 1000000000000000000 76801276 29857681 19402223 45588247 1000000000000000000 179384755 131700918 164889928 67749849 1000000000000000000 962051730 466140362 462119488 891730975 1000000000000000000 980123846 428770849 163125541 418749620 1000000000000000000 834134722 658433620 427703172 615353977 1000000000000000000 837307480 785283239 478221359 833446949 1000000000000000000 470966947 295941075 365461314 148390612 1000000000000000000 503114829 478076870 94237398 201185191 1000000000000000000 273814151 4711239 20011886 156151429 1000000000000000000 596846424 573649684 226496052 365221931 1000000000000000000 643516302 165166598 275036623 35456722 1000000000000000000 812202982 530106762 282656358 89568508 1000000000000000000 112122329 76315243 16310811 12402844 1000000000000000000 589590653 447708484 48079002 170256340 1000000000000000000 421455658 197017018 92828890 399377031 1000000000000000000 898861033 641851723 726995148 716001107 1000000000000000000 797185004 650951143 148438944 105178867 1000000000000000000 723036097 57518326 716970364 643583517 1000000000000000000 986321167 899705111 107380432 732445859 1000000000000000000 659827866 395055424 221043494 163596286 1000000000000000000 409398617 215591200 117094382 134045863 1000000000000000000 446516061 177511635 19954529 235249380 1000000000000000000 245523980 38728975 61846624 242481616 1000000000000000000 454528107 37584428 210671808 411806480 1000000000000000000 42047474 32415606 13793054 28462066 1000000000000000000 513866739 28554317 387142124 193900996 1000000000000000000 125625438 86400053 6160097 76550004 1000000000000000000 413683261 133043074 208743721 204975247 1000000000000000000 678152184 63089888 347732718 389491285 1000000000000000000 303978477 146665386 154377346 287463985 1000000000000000000 709623333 343823499 324810184 683223731 1000000000000000000 770612504 328330571 52392888 438359179 1000000000000000000 182887134 129387773 57102112 76311034 1000000000000000000 999410438 367090999 413063801 193118249 1000000000000000000 363833214 54029133 8932237 20252616 1000000000000000000 984922627 262456555 201798596 400105004 1000000000000000000 818982715 43066218 489158728 564223067 1000000000000000000 476641377 39116442 37178319 276494939 1000000000000000000 827282865 152301142 356460611 375019130 1000000000000000000 231001931 85850294 170652689 161755117 1000000000000000000 809745492 2882497 687815914 732763702 1000000000000000000 841811733 90320604 713609651 691950690 1000000000000000000 753639598 478343544 220239260 155012999 1000000000000000000 156919777 30800645 40617831 103623682 1000000000000000000 930900485 480507571 580704729 402304634 1000000000000000000 285660550 212580451 266252813 83062072 1000000000000000000 399767273 293677253 227763207 362632531 1000000000000000000 387194632 335866999 300199284 236933514 1000000000000000000 971884200 808118412 552236073 205952354 1000000000000000000 935197386 205971737 355094597 317652076 1000000000000000000 289434269 118427261 92584414 158775332 1000000000000000000 137970040 62744866 51160083 91958951 1000000000000000000 920161084 19734481 239857202 182512761 1000000000000000000 222062374 78512955 60276358 124608860 1000000000000000000 73343549 840739 33078321 6756688 1000000000000000000 595385210 15945195 577145346 195920279 1000000000000000000 236692193 66186246 92523424 200437522 1000000000000000000 501390955 404000796 474062819 333205405 1000000000000000000 119673346 6764435 23382784 93285000 1000000000000000000 33238392 13940499 24417655 12355585 1000000000000000000 315887025 68217558 133985675 221239390 1000000000000000000 662203271 441482952 562901719 122326943 1000000000000000000 988348529 959013880 32259233 484245012 1000000000000000000 854387932 852842147 145292121 198067035 1000000000000000000 95529311 15034337 45004976 34983623 1000000000000000000 134397199 110571480 90857713 108380035 1000000000000000000 362726793 120150517 11393656 172096626 1000000000000000000 482296850 242849406 142318219 355583168 1000000000000000000 198182261 53997982 72492829 7447770 1000000000000000000 567247232 337527582 186258131 244253540 1000000000000000000 751619411 620558537 478469726 20678797 1000000000000000000 867971047 638908919 364749426 549346365 1000000000000000000 539406558 23236150 222423356 187462010 1000000000000000000 17903126 5722911 3769041 16264403 1000000000000000000 781449045 251930544 33814670 440697904 1000000000000000000 436975637 295742320 50111393 163243457 1000000000000000000 647327014 117544608 188803134 478521309 1000000000000000000 879345472 525841378 76613510 279329196 1000000000000000000 838479979 63783346 82052392 465705953 1000000000000000000 756746261 186556504 131762091 644388271 1000000000000000000 108599685 17351836 26158765 21206900 1000000000000000000 492484889 225889664 200714871 41706563 1000000000000000000 109006798 1523571 63334867 42850055 1000000000000000000 234980484 188891595 124394079 33487363 1000000000000000000 729975023 646966804 96460689 48013268 1000000000000000000 268999941 229698504 61917652 230969934 1000000000000000000 476087531 299110516 147370794 91135794 1000000000000000000 224665406 96892698 171992707 164917462 1000000000000000000 494343944 137090766 486712626 26183359 1000000000000000000 502566031 109775329 415963320 50470227 1000000000000000000 703384501 673646844 379746836 174004658 1000000000000000000 652645967 147664098 100298217 75102281 1000000000000000000 130658580 128402683 93549503 29244291 1000000000000000000 223637927 86960908 77995138 213361602 1000000000000000000 503370493 388295859 235051827 2587296 1000000000000000000 949928115 928158037 684125069 933170909 1000000000000000000 382563973 87259305 30044414 49976811 1000000000000000000 754297975 422861845 732708536 278268131 1000000000000000000 823624162 476467937 207500213 71388040 1000000000000000000 749095613 467730749 346828724 129244710 1000000000000000000 457265572 355282775 355330913 29596035 1000000000000000000 748791593 605771957 275853696 244824012 1000000000000000000 353655677 327028700 326955822 120404034 1000000000000000000 666642264 511368653 201871772 472916289 1000000000000000000 845437481 558687940 375813854 407803618 1000000000000000000 962583948 815332941 458696424 63091931 1000000000000000000 876706443 244035479 784418626 323108223 1000000000000000000 802090780 437494277 187435551 92711558 1000000000000000000 492740991 454908764 269811522 78964019 1000000000000000000 116364654 34819101 88677811 25018907 1000000000000000000 86719367 5428891 5266410 13432206 1000000000000000000 612747008 192192639 35432637 287089962 1000000000000000000 967566684 583766676 685477499 438498709 1000000000000000000 150072071 96923045 120464795 63775257 1000000000000000000 392134792 36917366 294744071 60627313 1000000000000000000 444717053 229717235 167351854 422317680 1000000000000000000 927514486 619757020 263593379 216775288 1000000000000000000 338056715 124288182 29074853 292812254 1000000000000000000 605119139 523188466 32791882 485398550 1000000000000000000 927773015 841874569 412246318 643715292 1000000000000000000 363575830 348571461 168814602 234651327 1000000000000000000 204329684 200194429 142345931 51700737 1000000000000000000 183980309 116113051 153380906 134679627 1000000000000000000 635742360 199591402 412246607 540746367 1000000000000000000 811136208 459549660 48188051 362404194 1000000000000000000 464807960 336331452 396285819 412048328 1000000000000000000 167769832 50212422 109238899 158377571 1000000000000000000 462944917 122271749 205707957 185120946 1000000000000000000 414282360 240087544 203423851 76903753 1000000000000000000 382720150 252608024 263395086 255502930 1000000000000000000 37186951 35766292 10515402 17549519 1000000000000000000 896218362 21697246 736234036 557009085 1000000000000000000 664507887 554545362 542021231 296568873 1000000000000000000 730112295 522772788 214774449 342449800 1000000000000000000 23029136 13202674 16951900 7815586 1000000000000000000 802318014 411509681 630019408 315042909 1000000000000000000 506212259 193048552 71299 122106983 1000000000000000000 750970714 351753838 695349085 584059633 1000000000000000000 802404287 363523427 586187410 61576533 1000000000000000000 267200815 78727619 224360673 150436537 1000000000000000000 284568705 105634437 183909697 80224804 1000000000000000000 621706848 446039220 383253132 58092821 1000000000000000000 601291756 274876142 92955327 16678351 1000000000000000000 514275359 30337935 492879013 497660237 1000000000000000000 966115532 65107734 138380052 688026465 1000000000000000000 908377112 142331969 235519776 502994417 1000000000000000000 190702426 176341103 49545347 147359992 1000000000000000000 953975343 211074444 13904303 918206330 1000000000000000000 895917633 639540403 42417650 646555879 1000000000000000000 196998590 62180745 29646379 178211847 1000000000000000000 685876260 199199665 212740267 6456425 1000000000000000000 796040933 602350272 386195645 297926261 1000000000000000000 90350491 24256728 62297473 562507 1000000000000000000 487634172 170181287 164991423 23615179 1000000000000000000 525551484 89317631 137375366 459475937 1000000000000000000 513235010 266355670 267010595 26855221 1000000000000000000 970682408 527817613 555073872 163830793 1000000000000000000 338131392 54173409 63891122 199769008 1000000000000000000 303963562 152243595 302705326 294356615 1000000000000000000 68030022 29463328 24450078 16189940 1000000000000000000 814693793 43216191 623658454 669905629 1000000000000000000 693482845 206101876 20530813 124818965 1000000000000000000 622372743 527161584 351984130 600386033 1000000000000000000 775388269 278739041 358096157 597788841 1000000000000000000 134762563 123732744 95202972 28761138 1000000000000000000 230396741 156853467 51436199 90988083 1000000000000000000 806698160 217010436 93405023 340352981 1000000000000000000 424377437 176196849 221512087 290026812 1000000000000000000 381545318 372569514 77277122 373131200 1000000000000000000 639556724 203306178 357565149 417135831 1000000000000000000 828797047 190816484 723328712 796402559 1000000000000000000 333392208 207335836 184783031 77464585 1000000000000000000 970813287 433375351 623266516 665774549 1000000000000000000 461744082 267724155 294553399 379296326 1000000000000000000 265224994 41436548 169101521 217352208 1000000000000000000 186829276 159253639 118837073 133782134 1000000000000000000 334967375 326563948 217175106 57973783 1000000000000000000 26439662 8806110 841196 23719898 1000000000000000000 463888684 155725192 381602911 56096175 1000000000000000000 421421883 102932804 174042780 345727089 1000000000000000000 553179663 28578705 158072963 126084543 1000000000000000000 127337379 20699885 10455836 14799509 1000000000000000000 590181941 446658026 320158422 453360398 1000000000000000000 209911188 128586402 100070909 21248236 1000000000000000000 194577954 12519318 46870776 28191342 1000000000000000000 458447165 268389497 443346170 321266160 1000000000000000000 938992652 612058285 366412633 10942037 1000000000000000000 410391939 86266127 328821586 112814894 1000000000000000000 79401701 21585732 11972383 28374001 1000000000000000000 603836290 465936268 476041361 464309749 1000000000000000000 220262957 174072722 95010054 138045872 1000000000000000000 820573031 82245055 302595841 28416064 1000000000000000000 33836162 8753116 12941659 31450221 1000000000000000000 774583361 648267150 453175463 183461844 1000000000000000000 411336981 140916061 294658679 117851647 1000000000000000000 703511061 69421305 649341409 365931354 1000000000000000000 134493776 47605738 91311741 109753299 1000000000000000000 682512583 536347541 521003826 290764257 1000000000000000000 35826870 15893167 21404176 13143402 1000000000000000000 212440736 155388525 141737524 1007207 1000000000000000000 926180280 297380109 889029938 15829414 1000000000000000000 315734395 202554300 302346588 193294143 1000000000000000000 405730996 120667310 187717908 61210650 1000000000000000000 993851663 71221809 837037126 388196339 1000000000000000000 794845153 343611857 202607297 39105821 1000000000000000000 527543545 449743665 100033830 467029539 1000000000000000000 659162261 229954862 420265024 14165588 1000000000000000000 544197683 104692005 130921989 425899326 1000000000000000000 547625701 492863854 538348920 346847992 1000000000000000000 930396229 416192183 372551166 256870279 1000000000000000000 173939341 67301181 138453997 65991904 1000000000000000000 862496031 536319911 64712453 21980695 1000000000000000000 443677423 379220734 242358998 33315408 1000000000000000000 95705294 92567880 90310743 90739436 1000000000000000000 70687951 56264832 889783 11577783 1000000000000000000 862508427 126845071 231983798 486058807 1000000000000000000 422968648 279147257 368988210 52622873 1000000000000000000 430127625 262702583 23766625 59087714 1000000000000000000 743330763 630277253 435014152 409326342 1000000000000000000 131138983 113105475 113240775 109422344 1000000000000000000 664813960 596670492 531547229 597332443 1000000000000000000 714862667 527442425 25734197 173622791 1000000000000000000 404119500 277877800 127467108 264807649 1000000000000000000 285236310 176101486 247979292 58031546 1000000000000000000 341826544 189598044 191441539 163582621 1000000000000000000 610461051 151306597 606956598 7595718 1000000000000000000 330087494 66987301 270052022 72625666 1000000000000000000 65986374 273345 16921255 56576304 1000000000000000000 669204436 240916776 504027631 488747363 1000000000000000000 746496488 74821656 700007175 210808000 1000000000000000000 555981325 102697661 213208859 12665390 1000000000000000000 9203410 4493648 2285280 4809750 1000000000000000000 303186047 12163435 90476559 22586435 1000000000000000000 353305635 139715489 204638693 199177131 1000000000000000000 785281681 101567970 739866247 731932567 1000000000000000000 354801591 155120458 13592331 745549 1000000000000000000 503726711 146477167 333704396 62909208 1000000000000000000 680966555 130709288 332363393 28027497 1000000000000000000 282428880 230915641 55605842 178175876 1000000000000000000 334671436 69297435 6794326 90280513 1000000000000000000 578393395 265188225 228030330 376913407 1000000000000000000 738643684 413623365 181982779 685849513 1000000000000000000 997149027 791651276 432350157 632212039 1000000000000000000 690607590 219184356 611923000 93584187 1000000000000000000 466775605 241103867 207152534 446628324 1000000000000000000 517709366 228236998 28252685 149592786 1000000000000000000 55842080 47557747 36234277 26613488 1000000000000000000 85608093 77057863 34090338 52327228 1000000000000000000 280146280 187840432 208434968 179357029 1000000000000000000 222640476 41422086 217462461 95994565 1000000000000000000 306903357 228735573 35455661 69322894 1000000000000000000 622699551 226666566 97740327 40002283 1000000000000000000 954885375 561356940 465821968 745968639 1000000000000000000 775664877 680011701 774044419 236908512 1000000000000000000 799468069 561453425 168531680 450324648 1000000000000000000 102316093 99451463 53843824 69807959 1000000000000000000 696138991 322140784 517926394 604213435 1000000000000000000 576159950 506865697 97935182 227941401 1000000000000000000 632928070 403280908 342601326 423255101 1000000000000000000 856315353 94311237 605695073 784255232 1000000000000000000 756532010 222800883 482811508 440960249 1000000000000000000 54082426 10047334 52836678 39054001 1000000000000000000 45670326 38555988 8392255 10518078 1000000000000000000 607864162 598190839 436009647 605120727 1000000000000000000 739447834 670892798 725856382 429884899 1000000000000000000 190610359 151284402 132478412 40081908 1000000000000000000 320968599 187921109 60372728 152695952 1000000000000000000 465827644 305378759 68992207 90897679 1000000000000000000 159213778 89184311 156732933 71235167 1000000000000000000 723667696 24733495 11737545 136417144 1000000000000000000 544537587 332912346 524597310 540781751 1000000000000000000 924223880 856412870 25942204 67255183 1000000000000000000 666227166 30647545 49469213 523871815 1000000000000000000 598004164 404486638 33218775 411982122 1000000000000000000 949044073 473474924 668190821 72036434 1000000000000000000 86004593 58159526 48796763 27696434 1000000000000000000 996172202 121435065 576531059 325043170 1000000000000000000 890765671 131279626 164126264 465890578 1000000000000000000 801936485 303773099 401111349 146316128 1000000000000000000 547241743 299773445 310162142 365579588 1000000000000000000 369060103 189383775 91703164 297462246 1000000000000000000 761620585 479332378 167065897 157395000 1000000000000000000 442345207 336527126 144800273 54695442 1000000000000000000 311759538 164855582 3139498 2604688 1000000000000000000 336718834 193236392 81920632 266520255 1000000000000000000 403540020 119969000 391876663 152546547 1000000000000000000 173892715 117329685 172952618 31134878 1000000000000000000 702971931 640497044 322295632 544777004 1000000000000000000 856702631 4538157 540511586 449750803 1000000000000000000 142361480 25723511 50367054 29840992 1000000000000000000 607491148 368123307 315986933 99989136 1000000000000000000 702854163 328571857 507525975 629074364 1000000000000000000 10233747 6294892 8358850 569658 1000000000000000000 284304178 264516444 166680960 90201979 1000000000000000000 623904123 15785550 447882864 392027627 1000000000000000000 392386508 260016932 180001028 236557646 1000000000000000000 152552023 43256893 18326703 21998235 1000000000000000000 308693679 244540471 131571671 287132582 1000000000000000000 90392670 87681784 74836814 41636863 1000000000000000000 784518482 560716393 646679068 428924694 1000000000000000000 422526141 256266593 278668075 558653 1000000000000000000 451669176 73583654 231613786 234018658 1000000000000000000 400568109 177969336 331590864 144923733 1000000000000000000 595725511 447928436 427981105 170613411 1000000000000000000 804652811 615514951 456338251 358770866 1000000000000000000 425708021 269683882 164638018 356025849 1000000000000000000 206215314 9837600 152054836 99047364 1000000000000000000 36970913 23151271 8263412 22823572 1000000000000000000 543733604 14929827 447882354 47343296 1000000000000000000 788149948 772965952 411954945 580173525 1000000000000000000 764632840 5011710 574395867 471056039 1000000000000000000 849059026 632162956 587500533 842920563 1000000000000000000 142097257 91445054 33577146 86110936 1000000000000000000 401160927 19059180 200403948 212930497 1000000000000000000 361143340 86862441 197083526 105863135 1000000000000000000 418760750 369480214 187834488 169956697 1000000000000000000 362503302 197820634 85291892 207998538 1000000000000000000 203464444 149540137 95537986 56161907 1000000000000000000 83378426 31468173 27750961 58815828 1000000000000000000 400751292 259168664 87113495 214043829 1000000000000000000 759016819 106928928 433032200 108588633 1000000000000000000 777910458 768857620 748466508 595939075 1000000000000000000 31950210 19598484 17901899 6270783 1000000000000000000 252125877 197901793 249302362 198362378 1000000000000000000 843629364 153887483 381567383 425487399 1000000000000000000 124843080 96368582 26419988 113053824 1000000000000000000 357733806 25877049 8684859 251593595 1000000000000000000 835908758 173903707 196490848 17103614 1000000000000000000 72638302 30229582 37502558 60092256 1000000000000000000 643073317 465717546 231690920 524091385 1000000000000000000 917107717 57640879 180972871 206041646 1000000000000000000 748776255 366127919 291095001 137730245 1000000000000000000 523346685 470005316 176688227 511321702 1000000000000000000 830982660 248629917 577048919 601225661 1000000000000000000 798182804 455272061 403876498 309372561 1000000000000000000 69860113 65504652 31890457 67095641 1000000000000000000 976208778 675596914 148655603 703332 1000000000000000000 716147866 219527783 66905960 374821292 1000000000000000000 755074412 490691557 680089730 276088836 1000000000000000000 888563256 309913588 697950826 765641206 1000000000000000000 681346742 180303134 238475199 451770948 1000000000000000000 665751651 621675391 605932852 417157989 1000000000000000000 666913445 279637396 255791194 191891988 1000000000000000000 20490317 20104213 18685563 18337837 1000000000000000000 523085584 92185932 287950930 120624883 1000000000000000000 895991721 580886888 241457808 734689836 1000000000000000000 33375444 17456571 4551389 25899583 1000000000000000000 782279067 539531851 591452392 59973736 1000000000000000000 278924682 269934599 221734846 43181035 1000000000000000000 805043987 203570266 91985195 241609181 1000000000000000000 714313410 246307852 625113633 58518008 1000000000000000000 174770118 150079776 136721004 17122891 1000000000000000000 633496601 9622897 24007130 558197551 1000000000000000000 47289089 9141905 12760671 13426044 1000000000000000000 989201193 506860207 340279953 666719140 1000000000000000000 357819068 240153670 15847642 41902639 1000000000000000000 621649401 209920448 57716520 49681608 1000000000000000000 43533830 7304119 34124098 7373290 1000000000000000000 754711915 347680828 418006109 353574209 1000000000000000000 924186181 789519560 803870935 143177733 1000000000000000000 738171636 231615345 211772066 208877290 1000000000000000000 462692128 147472868 257538025 195689604 1000000000000000000 999207334 756557128 296106194 63952157 1000000000000000000 11260165 4149968 4406541 1074647 1000000000000000000 572412810 478792679 495626036 206683294 1000000000000000000 941332905 126868545 254735055 724347785 1000000000000000000 677626665 374157485 196779212 623347686 1000000000000000000 159830456 158852264 128063520 77964337 1000000000000000000 465037583 12651913 28906840 99420510 1000000000000000000 992141583 24812217 794426352 60258875 1000000000000000000 608673315 74820122 490084433 118228931 1000000000000000000 637578463 418161995 206471226 292383027 1000000000000000000 82116697 46156180 32411166 28591126 1000000000000000000 434384432 431016956 428949457 258671024 1000000000000000000 491653854 207111545 394151502 165958891 1000000000000000000 343124869 126079536 305449321 188321588 1000000000000000000 115618351 101488108 84930785 913045 1000000000000000000 839366692 26933736 749314916 548118701 1000000000000000000 869169071 433170950 325959493 304983909 1000000000000000000 167368501 162090777 92519223 132280924 1000000000000000000 22918451 4813129 4338424 12063868 1000000000000000000 428875093 243193170 392282367 69293128 1000000000000000000 865864978 684297504 841150793 72901620 1000000000000000000 536990605 436004774 419070687 150713257 1000000000000000000 983601234 143023878 292875222 554613422 1000000000000000000 471945364 60486469 361227451 416449525 1000000000000000000 462746481 170791592 88890367 381688397 1000000000000000000 319478737 6105516 56892263 123784703 1000000000000000000 545737116 446376100 14365226 17969499 1000000000000000000 373939725 298702447 125827378 76968119 1000000000000000000 819168820 762949290 196683086 366578491 1000000000000000000 159838359 75119399 11738748 59192720 1000000000000000000 101891651 76113486 13370643 76699507 1000000000000000000 471639449 470175623 407488412 458996076 1000000000000000000 63918569 254951 4844617 42129203 1000000000000000000 361238610 195315165 337654940 119203166 1000000000000000000 8532080 3419636 5594047 1817011 1000000000000000000 466073020 177192915 288251137 223517578 1000000000000000000 954103200 265406166 263343549 534764953 1000000000000000000 415867262 373181620 216359456 40129698 1000000000000000000 116604877 96616180 48864727 28030925 1000000000000000000 956980666 169834602 361727459 186071192 1000000000000000000 36900441 17470591 8865113 30726761 1000000000000000000 360243020 113390450 158591368 248046854 1000000000000000000 303547251 282036407 38113811 203240621 1000000000000000000 900852404 510271936 553058176 643393152 1000000000000000000 55411357 24654522 50533536 4425067 1000000000000000000 448184811 25319083 76867356 18981371 1000000000000000000 828237077 700418457 264876173 819998438 1000000000000000000 188226569 651304 26832190 31957612 1000000000000000000 115390287 24115393 43775521 55468930 1000000000000000000 95888728 33920209 35721003 57857939 1000000000000000000 755327889 572667470 488945279 149646123 1000000000000000000 343757189 142284207 18813489 151274930 1000000000000000000 475143044 305537811 273483082 345672835 1000000000000000000 61632075 27056314 7239235 56976917 1000000000000000000 234590515 56102815 163994872 201029425 1000000000000000000 475718707 264533237 30261564 393599266 1000000000000000000 59351708 5504743 20795498 37979619 1000000000000000000 860634830 782883541 391604798 293563828 1000000000000000000 3390146 612882 1635166 981069 1000000000000000000 12957984 5786319 2058508 4084357 1000000000000000000 152232051 108035850 23368562 21078230 1000000000000000000 208560163 89990055 77633513 56336556 1000000000000000000 705517783 249970507 130191242 209266698 1000000000000000000 62920787 19353326 38328549 8210845 1000000000000000000 857517197 263714628 273286966 504514297 1000000000000000000 917835142 414599861 388611648 868887078 1000000000000000000 737253806 60155326 726046483 347640998 1000000000000000000 829154046 550127438 528272846 409572123 1000000000000000000 516072423 499658668 410667649 265494647 1000000000000000000 42833989 3837442 35480184 25869885 1000000000000000000 372947676 189621838 70801152 278305568 1000000000000000000 402905617 104874634 146115919 226617001 1000000000000000000 986742826 391915376 448258047 360339184 1000000000000000000 434981885 32059202 85264000 147913122 1000000000000000000 511899724 430897781 506317992 72861340 1000000000000000000 405031737 208348622 266937006 50398950 1000000000000000000 217817049 150226792 5470720 196894292 1000000000000000000 707264405 290366437 425752060 522906946 1000000000000000000 97200365 83762665 37612341 9403413 1000000000000000000 738035580 76206001 493060301 119688438 1000000000000000000 279085821 143021135 66595623 18132109 1000000000000000000 606112154 346063826 492900201 493428623 1000000000000000000 350819344 161890445 4356900 242277708 1000000000000000000 114513001 75202397 76714459 68805951 1000000000000000000 916414783 309519384 627190063 281983768 1000000000000000000 591793668 238899185 314192945 305772729 1000000000000000000 241064154 187934234 204469776 93009521 1000000000000000000 162071150 118331162 12422898 56795737 1000000000000000000 714078460 551125650 490208274 598716179 1000000000000000000 289345314 270213248 199008905 238130882 1000000000000000000 730405591 633665748 123985196 545094481 1000000000000000000 787985518 352449141 225916442 54754025 1000000000000000000 736708867 454993289 635934509 18843962 1000000000000000000 879795631 726680371 579174955 709599970 1000000000000000000 605848798 287345711 366567642 130858380 1000000000000000000 101638374 50255878 41007565 39327134 1000000000000000000 661361831 472183773 412656296 96833031 1000000000000000000 665388704 119212353 443571546 159425675 1000000000000000000 135116420 22112903 14211656 11139509 1000000000000000000 919483785 406756892 781086456 365293348 1000000000000000000 890787953 207417920 600700665 178594888 1000000000000000000 867523940 716027342 832522767 623029918 1000000000000000000 213852643 187280178 58284050 143740592 1000000000000000000 343828159 121960361 5386992 313742039 1000000000000000000 35139142 10648413 2198353 6230533 1000000000000000000 24682365 10406909 3339171 24106540 1000000000000000000 504064445 421541546 187527569 91222876 1000000000000000000 464379611 402987765 370548749 373538649 1000000000000000000 207544005 33855576 89785155 58780208 1000000000000000000 960936249 889383017 207187277 927911119 1000000000000000000 548616966 65251145 399874090 225457484 1000000000000000000 606747351 12623862 465211079 484292910 1000000000000000000 100729562 67552813 34795280 31578984 1000000000000000000 493116854 403384272 312331691 45872140 1000000000000000000 649949906 345514994 641722788 17495167 1000000000000000000 113775304 66191214 107334085 94367362 1000000000000000000 33807521 27396328 19560286 2268639 1000000000000000000 411896183 366535527 58935779 107110957 1000000000000000000 820620012 446002078 512099515 112733629 1000000000000000000 265462344 210130095 35151124 255846214 1000000000000000000 239021276 62967185 226105834 159060684 1000000000000000000 867063961 552902093 185000573 627425255 1000000000000000000 902404629 334346065 707465326 511652829 1000000000000000000 241801510 220874293 102363360 165569004 1000000000000000000 562269089 147221497 317906753 158371871 1000000000000000000 380507652 30029007 214829753 173881687 1000000000000000000 905875660 135212500 814884658 768432856 1000000000000000000 809893069 9878248 57667024 158253312 1000000000000000000 613614724 446110566 303043019 549596937 1000000000000000000 623126088 501188124 67303250 133062094 1000000000000000000 455465504 117653418 361633894 447839130 1000000000000000000 620337665 26456890 541959715 200271001 1000000000000000000 680481263 493204085 584283385 641427435 1000000000000000000 846199660 544112425 411782069 269631644 1000000000000000000 137529952 83504617 22059586 77878927 1000000000000000000 370822276 285569300 203020156 329518329 1000000000000000000 334405321 35051693 626297 129326857 1000000000000000000 492708889 219093195 27297957 474284919 1000000000000000000 95754675 48883440 33034385 36634118 1000000000000000000 437769309 77657647 76716286 144507061 1000000000000000000 977798309 827376859 481550433 740754151 1000000000000000000 887619059 780920816 774481351 124809009 1000000000000000000 193393761 159202759 13447371 38999854 1000000000000000000 828986863 81973417 378665040 180494455 1000000000000000000 696074164 678444277 308455745 242238470 1000000000000000000 478459029 225355395 336496790 393798541 1000000000000000000 736510601 465923684 498652012 641858162 1000000000000000000 623708267 82649141 403078050 489300543 1000000000000000000 698540445 369022004 366804641 530273279 1000000000000000000 821470547 510131062 43999834 343397069 1000000000000000000 395817707 325391357 178798534 325064794 1000000000000000000 531892094 449620932 25959277 403002531 1000000000000000000 876291988 517732592 44876430 148225653 1000000000000000000 886788210 1910927 530654001 188656233 1000000000000000000 355899315 162005068 87749143 169667811 1000000000000000000 769536981 576556170 506987193 702084437 1000000000000000000 627147110 553139381 274630795 33326042 1000000000000000000 121932016 71153652 39273374 120829995 1000000000000000000 237045414 229735827 37707296 205348551 1000000000000000000 254997612 221914922 228625658 250953364 1000000000000000000 387520967 73271555 34958271 191778670 1000000000000000000 693113594 275132890 15287119 212271838 1000000000000000000 910849010 466105541 283322039 2024857 1000000000000000000 616112784 446823887 242266754 165558860 1000000000000000000 360620994 185556752 198617802 256036764 1000000000000000000 414134583 168543306 140709395 10741146 1000000000000000000 871595367 475289614 245773871 26199879 1000000000000000000 550402868 168393210 380566728 516520722 1000000000000000000 413039243 143747752 377055783 396316188 1000000000000000000 600396331 595145270 498329819 105715237 1000000000000000000 245099436 150832645 147926170 172103158 1000000000000000000 976753228 194028395 359079096 794583390 1000000000000000000 104597716 64776827 15164072 87414015 1000000000000000000 201070994 195679734 126485552 151045769 1000000000000000000 960893975 299499338 99674227 657365032 1000000000000000000 98033401 22903250 8660138 29848412 1000000000000000000 631118886 143417019 346394571 32120229 1000000000000000000 491763557 109100050 212773978 162235780 1000000000000000000 642559081 515852587 249713358 355883050 1000000000000000000 324220705 220011075 202900224 37778501 1000000000000000000 841627494 710881649 530935701 277810994 1000000000000000000 62959347 28367583 40230549 41652026 1000000000000000000 762280399 585879024 401554915 594114932 1000000000000000000 826571081 84290804 57833018 70165937 1000000000000000000 233248635 170955414 88974119 168899301 1000000000000000000 659682410 329563426 36797725 453401313 1000000000000000000 349601658 315325481 266889504 233778048 1000000000000000000 642248294 550158349 626811959 71477531 1000000000000000000 153259332 68214542 144948204 70646691 1000000000000000000 990971217 708591481 749447163 246786692 1000000000000000000 613162209 206077753 320651339 462444160 1000000000000000000 54509322 45985873 15874323 52612008 1000000000000000000 614850635 396414699 243224493 136101861 1000000000000000000 89648558 49342990 23654381 44013399 1000000000000000000 885589342 31215403 780459659 743626289 1000000000000000000 290606562 237037655 3611051 105197115 1000000000000000000 284160321 93707323 64976466 140887328 1000000000000000000 960449543 829145623 909885051 645378193 1000000000000000000 638514675 124174660 460914922 602328347 1000000000000000000 194329548 129026971 76961491 56266651 1000000000000000000 730407090 268160596 344824614 605617149 1000000000000000000 815394054 109253873 693505666 38800300 1000000000000000000 597133135 184695782 38278313 271770787 1000000000000000000 344103672 117032327 106055106 210622634 1000000000000000000 675920907 64100372 567575925 627835706 1000000000000000000 632765531 340535637 528395104 275737020 1000000000000000000 224100685 186701475 97336371 3658907 1000000000000000000 982639998 132130766 962049615 666824064 1000000000000000000 786618013 666521117 734513711 328912619 1000000000000000000 781574727 297776765 710284207 344785946 1000000000000000000 914780735 831997473 282315048 740191793 1000000000000000000 661833871 491568033 640708160 500228099 1000000000000000000 573222815 54159379 170941047 253140828 1000000000000000000 441062289 29975191 34714786 337585168 1000000000000000000 66823318 30053869 56325462 47750963 1000000000000000000 754856330 36752927 448758157 36881192 1000000000000000000 190970845 133993912 19517092 161293709 1000000000000000000 270437515 176762825 53065533 265100627 1000000000000000000 369475661 246403229 364722731 95425987 1000000000000000000 527833278 83157051 187343185 414316695 1000000000000000000 605530291 98341221 420897368 175901327 1000000000000000000 428342318 112786553 259542681 136339959 1000000000000000000 342042716 276102438 329842538 2841787 1000000000000000000 321655735 23755836 235567793 268085619 1000000000000000000 950669898 72122748 314330243 21614924 1000000000000000000 614900520 380418007 343501593 302716200 1000000000000000000 898833113 492041662 892994355 554951932 1000000000000000000 709392628 623831008 690568524 381978138 1000000000000000000 833585296 308145113 624260935 297372950 1000000000000000000 925586753 658066893 29265881 234549964 1000000000000000000 259027042 158136098 94725947 85108523 1000000000000000000 642787197 605254831 530932349 560584748 1000000000000000000 375826680 328429041 284522320 288903190 1000000000000000000 985697750 208330283 220785241 276942794 1000000000000000000 386321583 1648296 179050110 357124888 1000000000000000000 938976346 775005575 415763796 630340629 1000000000000000000 794999518 602211078 259046688 187595982 1000000000000000000 830170126 685398529 254391067 763574793 1000000000000000000 76959996 54416242 69660902 44471442 1000000000000000000 337098838 149065433 124561118 236708 1000000000000000000 632244030 420750071 122027353 618839147 1000000000000000000 550735814 320697783 176654049 425109801 1000000000000000000 89325196 62675755 49775502 44230730 1000000000000000000 738830722 581522289 683361970 480321066 1000000000000000000 477588065 221295822 307957060 64551628 1000000000000000000 281538590 25208008 256026809 220070926 1000000000000000000 673029524 530972857 570594371 632752726 1000000000000000000 137087715 27561680 85405074 21032539 1000000000000000000 525195307 429993819 410912766 28139296 1000000000000000000 231976792 178594047 107881709 213253086 1000000000000000000 208587180 191918180 14807905 45090030 1000000000000000000 48262957 27648049 3884133 19641742 1000000000000000000 889385979 319804158 758060590 246409539 1000000000000000000 705920119 370431176 581098393 440281699 1000000000000000000 975189120 537180851 877964398 171767126 1000000000000000000 835007067 475125673 138638438 415500390 1000000000000000000 262339602 241838524 160484948 260014312 1000000000000000000 400894176 161844275 120881033 226460124 1000000000000000000 567600896 191115071 59964136 84815077 1000000000000000000 268577147 242661052 193555653 110850185 1000000000000000000 153768411 60462130 40509171 136398775 1000000000000000000 602114478 479060065 354823074 4977937 1000000000000000000 408460054 400060536 298403778 342484455 1000000000000000000 297088849 118055777 66510976 131134452 1000000000000000000 543403957 440340887 422235125 287898130 1000000000000000000 997535149 256800290 963396836 164798661 1000000000000000000 870200888 428004310 615311777 727275908 1000000000000000000 531353923 322569846 375852979 153691200 1000000000000000000 643387222 438462031 183266382 545889865 1000000000000000000 360993577 277407869 7006287 125153187 1000000000000000000 80611353 32597083 60654795 8675875 1000000000000000000 932373458 670424455 314082801 491130706 1000000000000000000 169243890 131280045 70938832 168908561 1000000000000000000 182337911 122181049 124367062 118206367 1000000000000000000 355641420 41190108 163965759 238827261 1000000000000000000 285435061 183173300 260401773 180730059 1000000000000000000 673616150 299099184 84478645 20927940 1000000000000000000 616913550 356649380 54494233 152415192 1000000000000000000 746937158 495359057 626101132 29302562 1000000000000000000 811094634 31918668 462130720 191741118 1000000000000000000 400478407 276918710 32551219 393770319 1000000000000000000 88767171 37338890 217457 71606017 1000000000000000000 730958351 608063569 536665713 305103862 1000000000000000000 955203381 174155226 104923930 419845433 1000000000000000000 563325923 49102112 438770411 100545161 1000000000000000000 788065581 209742310 247198683 127367261 1000000000000000000 869902871 428353102 209214045 201759965 1000000000000000000 615034062 168692492 112821168 8424729 1000000000000000000 403566438 368177374 398960925 28047032 1000000000000000000 71754453 24669401 21290050 55414672 1000000000000000000 325196677 61096376 19510546 70466674 1000000000000000000 612403593 472696070 530378870 405150504 1000000000000000000 575410737 200996640 351647882 364413178 1000000000000000000 941481075 378016501 549847248 98353861 1000000000000000000 709956343 353086758 116577417 24222134 1000000000000000000 513072313 432128610 146614010 71441549 1000000000000000000 256391831 55414746 45153081 234504086 1000000000000000000 863710615 561363353 149535719 753908990 1000000000000000000 71360399 7188205 55862594 53624597 1000000000000000000 756208672 516250283 635565476 517721817 1000000000000000000 712857942 231910529 282276067 442580958 1000000000000000000 925758098 872787037 490324584 22188133 1000000000000000000 649879450 232174348 111756468 32489151 1000000000000000000 451851394 393716236 341698239 107329520 1000000000000000000 42357109 33540238 23913237 8196847 1000000000000000000 562508087 552378256 460407852 167131808 1000000000000000000 634625550 150397156 195729709 168818412 1000000000000000000 80073673 77025415 64610475 4764813 1000000000000000000 869405586 583504905 628003160 8175450 1000000000000000000 869639768 305092398 207378615 281162487 1000000000000000000 220089187 75296933 156602565 26461088 1000000000000000000 276704981 139667834 248175286 103108671 1000000000000000000 116426527 11838216 90297718 103970093 1000000000000000000 301721145 51119697 192893883 121904571 1000000000000000000 535402687 148092094 465432201 56104046 1000000000000000000 516507536 220283918 445418829 47253250 1000000000000000000 391907540 346909492 390696243 103398064 1000000000000000000 77856124 7971650 11036741 20367439 1000000000000000000 820416888 235462280 611563666 382956647 1000000000000000000 720665294 129228334 694926557 390565131 1000000000000000000 84860741 10601943 30757363 30803752 1000000000000000000 737757140 182392746 507203581 667657446 1000000000000000000 956568098 49474676 669506759 149929995 1000000000000000000 6367916 487005 5257131 2104009 1000000000000000000 855434875 849197664 672309613 823257874 1000000000000000000 397719296 310469153 270948307 24058423 1000000000000000000 816868800 151645688 195847932 478749872 1000000000000000000 785851407 642896381 280885561 511563369 1000000000000000000 799127050 694820660 381574643 82740226 1000000000000000000 303343006 75399949 299198648 275835435 1000000000000000000 564870619 28475767 284283800 344069597 1000000000000000000 914307131 66192733 758916802 211487032 1000000000000000000 417211933 108099855 332492411 340631066 1000000000000000000 887210195 321353591 717530999 701757322 1000000000000000000 215519314 71250722 60333524 214238498 1000000000000000000 983804788 83764316 401574510 625928942 1000000000000000000 963257910 256950354 271040203 229502210 1000000000000000000 564375279 475542117 165294775 153445745 1000000000000000000 463522816 249933575 275565080 242092547 1000000000000000000 943426955 111964085 514336673 695751375 1000000000000000000 952195099 328197462 569783558 528938749 1000000000000000000 782444022 85354152 638303054 297194361 1000000000000000000 941581749 337536987 551044994 574611217 1000000000000000000 465548938 18373285 27000801 256779126 1000000000000000000 416040106 210095002 166879610 399208069 1000000000000000000 796933763 67262599 660005131 740500789 1000000000000000000 569033161 522984185 512912255 446191310 1000000000000000000 617936688 181674300 168853517 377571019 1000000000000000000 285222401 101161336 235065837 129905776 1000000000000000000 2772865 2067367 1636583 1588982 1000000000000000000 643582800 440458425 81814770 410051957 1000000000000000000 116564960 38598761 3163082 54301153 1000000000000000000 612339415 427130500 3600733 497628855 1000000000000000000 157573973 118814897 13568492 126741164 1000000000000000000 971421608 348535609 754843708 249869216 1000000000000000000 517087732 443239240 444084396 513118056 1000000000000000000 587050350 104317225 375668982 117741995 1000000000000000000 669429220 64286104 485666926 26464537 1000000000000000000 883349713 369541405 41254178 307805262 1000000000000000000 113801717 65999262 92298317 104958769 1000000000000000000 851454430 95218587 677212831 607764957 1000000000000000000 941061002 862123550 258926875 195069734 1000000000000000000 202642046 89465117 166506681 68097508 1000000000000000000 954585985 823231948 809848260 837644236 1000000000000000000 341798107 65185018 184973331 228950641 1000000000000000000 408992245 312564488 58544776 39192577 1000000000000000000 753627163 364875291 340840702 325346299 1000000000000000000 413831684 136483802 91288682 325681308 1000000000000000000 673604989 270869032 513409475 609152808 1000000000000000000 872448451 35130980 644032893 672785794 1000000000000000000 599238881 376861876 129673209 450496487 1000000000000000000 781328538 485215435 72630736 508571953 1000000000000000000 970739509 297773994 346299785 822082720 1000000000000000000 763621558 105446538 353660994 316199641 1000000000000000000 235295879 96857890 112423763 90703363 1000000000000000000 893107325 818142141 258669800 493089395 1000000000000000000 21073874 170307 4949692 1002432 1000000000000000000 942109137 70802057 935615760 775338997 1000000000000000000 748197681 323115248 37525498 437290450 1000000000000000000 431242842 84617572 30673523 141396769 1000000000000000000 101402913 39179532 2144126 64912640 1000000000000000000 387815779 378741717 28985877 207365121 1000000000000000000 888151004 789194566 723917210 325701496 1000000000000000000 124395878 26112433 97076384 15273725 1000000000000000000 111972767 11491101 25637585 33059665 1000000000000000000 931518581 201785422 559789036 187688936 1000000000000000000 68862224 64947444 64266090 17892881 1000000000000000000 90450187 78938031 84662291 18151523 1000000000000000000 102279628 18508554 49719982 8974639 1000000000000000000 192238880 36374706 51414548 134652598 1000000000000000000 950842675 7209323 797563011 136910252 1000000000000000000 712722685 684204981 616241648 126885706 1000000000000000000 885415505 19410035 868853074 380716595 1000000000000000000 94431029 30867237 65935443 8986128 1000000000000000000 167999520 91091151 136571967 49358284 1000000000000000000 685022142 188709163 59474097 17411369 1000000000000000000 957041462 824051649 527455805 254539388 1000000000000000000 160675205 36799054 20714760 9507605 1000000000000000000 799017165 95136109 379123807 145946037 1000000000000000000 991217121 745545244 506691427 740795688 1000000000000000000 83713093 9359794 18932796 48502954 1000000000000000000 379305245 208149916 208765966 72695348 1000000000000000000 4963095 3629731 3217753 1381668 1000000000000000000 246898356 26494742 201661197 125469091 1000000000000000000 682344709 533458069 190284317 237239281 1000000000000000000 418148975 127974730 295653638 385910526 1000000000000000000 108222219 29025831 79837943 86585514 1000000000000000000 211695958 39022505 85874596 50915684 1000000000000000000 354693670 304613708 131646570 69001928 1000000000000000000 496233444 87807956 89794856 449099326 1000000000000000000 886280615 89761845 5964023 187594140 1000000000000000000 451118980 419751124 124275349 356809739 1000000000000000000 97885327 28460365 45264045 44640488 1000000000000000000 496701300 485448541 372817685 41518994 1000000000000000000 908671163 348457958 177544596 888677454 1000000000000000000 104278702 97941053 59952219 37719243 1000000000000000000 359912032 291441998 31406130 281238417 1000000000000000000 833464041 742896593 375394629 475120863 1000000000000000000 221490759 200406040 36975690 184669196 1000000000000000000 957429980 297532082 794638275 644055573 1000000000000000000 942547253 912612373 879662608 739983619 1000000000000000000 650591006 368808952 275991136 190387120 1000000000000000000 782657484 297310597 595007119 145026026 1000000000000000000 928560373 311308621 145677772 412651599 1000000000000000000 417316200 295445971 305897898 212865130 1000000000000000000 492366701 233273095 272886475 211129262 1000000000000000000 630387933 400883511 99513893 416032555 1000000000000000000 97122900 11946863 43309465 4330675 1000000000000000000 158685348 43761859 104800382 25458601 1000000000000000000 474054313 347408187 16155671 325988515 1000000000000000000 160450875 2513909 32368276 129266782 1000000000000000000 725621793 237306076 679638638 71656726 1000000000000000000 133881438 69539486 121688862 49947275 1000000000000000000 669557866 559922895 237776256 250385357 1000000000000000000 629101683 437555640 602068559 472143229 1000000000000000000 451524731 223788473 72896189 153392852 1000000000000000000 789013238 119971313 104158691 111495189 1000000000000000000 725851403 362945627 529076590 159794495 1000000000000000000 645447655 410077047 67827883 301994749 1000000000000000000 657481283 563860598 599210115 571227251 1000000000000000000 422130981 382114495 104660573 65601098 1000000000000000000 835523759 173874776 561209656 209065016 1000000000000000000 687753408 134069093 130958470 640156698 1000000000000000000 6985816 1811878 5154445 6636608 1000000000000000000 484394094 41247016 36614486 415111205 1000000000000000000 424303611 189583036 333719047 178655144 1000000000000000000 713443856 534007332 345797466 299249321 1000000000000000000 695184857 439259973 582985268 453858537 1000000000000000000 463948594 177755230 27737604 936544 1000000000000000000 676418642 647164705 242508858 90604934 1000000000000000000 361110402 239879869 261269217 121751973 1000000000000000000 191321098 131261679 143906656 119825946 1000000000000000000 973777951 902703348 650063497 750213552 1000000000000000000 305413206 69320416 83449895 118684494 1000000000000000000 361312790 238552709 337693538 164068403 1000000000000000000 149062862 82147266 11446782 99488176 1000000000000000000 714461549 581276896 628910201 261542502 1000000000000000000 165980108 109234814 33722399 123603843 1000000000000000000 741124868 329566644 688636634 193028519 1000000000000000000 156533872 72730950 14797979 38518286 1000000000000000000 686351587 457135728 238065339 259773843 1000000000000000000 956657190 366153507 783769496 830729817 1000000000000000000 892816373 483300870 777435253 614671025 1000000000000000000 851721801 382774845 141850867 158552596 1000000000000000000 831343952 284696014 553204530 342645535 1000000000000000000 319067752 10436722 91399932 218176513 1000000000000000000 897738363 75306736 194860052 539608192 1000000000000000000 314406034 124893698 105461634 119189548 1000000000000000000 937444287 185231327 802578384 520203116 1000000000000000000 277548090 248060001 201901135 7064967 1000000000000000000 421922735 116269816 91425021 232141530 1000000000000000000 640414988 557479844 500544633 69492212 1000000000000000000 502338883 477980719 446040458 71095001 1000000000000000000 293840333 152023908 77600443 190780538 1000000000000000000 656649979 449054072 524619481 542056081 1000000000000000000 395714004 265685480 154541586 335126526 1000000000000000000 611940455 558431928 496589650 139624259 1000000000000000000 856261697 661682782 765312426 752542987 1000000000000000000 411536224 261415284 34806346 355580439 1000000000000000000 188051696 151136290 124089180 103755177 1000000000000000000 398874214 8568108 21047165 217196328 1000000000000000000 724293301 462157668 704971484 239450109 1000000000000000000 550101181 180143358 540209157 271361378 1000000000000000000 818587537 657092558 380160951 808437004 1000000000000000000 939380979 876226999 336389854 57816461 1000000000000000000 822743494 293180244 455715557 87659448 1000000000000000000 465093939 329292505 116631661 322356595 1000000000000000000 694631532 235922391 484630476 377617989 1000000000000000000 637157970 547227317 468135200 160490268 1000000000000000000 147665131 107901731 144202031 40803941 1000000000000000000 397255016 36378824 62974729 241578213 1000000000000000000 928333834 179239718 131216881 887147404 1000000000000000000 648703980 423698754 463624735 568205515 1000000000000000000 813464637 82734582 667187266 358860448 1000000000000000000 752638649 147331736 23770690 382614478 1000000000000000000 323371288 271013688 169432725 134918097 1000000000000000000 610007675 412571654 197369128 276060674 1000000000000000000 46993913 10616469 41177713 4592319 1000000000000000000 931453790 156215597 152341816 356841554 1000000000000000000 525600433 346710191 294601805 57554465 1000000000000000000 303018916 42445906 122779931 49301298 1000000000000000000 915313987 901066759 337813556 477965357 1000000000000000000 168842103 29780137 140021245 150684498 1000000000000000000 592185652 124034868 117787227 166113079 1000000000000000000 985746964 876179865 695965953 35768505 1000000000000000000 568504622 431808160 75130930 70793763 1000000000000000000 363713164 238692142 299981789 203134074 1000000000000000000 182540822 156986780 59320432 44314349 1000000000000000000 139314888 112501233 102708287 31370783 1000000000000000000 96800213 81766128 56404793 64765683 1000000000000000000 922062034 275923105 44206798 246838946 1000000000000000000 461011396 329562827 366141075 175583777 1000000000000000000 881186197 81698246 578247302 594753428 1000000000000000000 317084396 198842960 74890700 144204690 1000000000000000000 929390957 641149346 626396454 609930669 1000000000000000000 155028220 132500786 3112050 36824209 1000000000000000000 714019820 684574128 395658601 257992320 1000000000000000000 113187217 91806734 43649697 10403384 1000000000000000000 58792247 35601016 5957602 23310285 1000000000000000000 148536596 109691153 24928635 17852662 1000000000000000000 404269706 163037974 284432088 231467274 1000000000000000000 277851493 245466193 250655133 46964074 1000000000000000000 694515201 356293719 23858757 569178850 1000000000000000000 305640915 129664385 70314391 105369287 1000000000000000000 312578235 81096367 139933038 173177658 1000000000000000000 73926824 5126831 70893575 57570326 1000000000000000000 885488175 173593776 4663110 227395549 1000000000000000000 637980601 550357495 278987122 104417848 1000000000000000000 712697304 106013526 670043596 503451666 1000000000000000000 251153173 7443391 213137194 236017424 1000000000000000000 541078197 17091819 197621936 253715551 1000000000000000000 836745838 821326319 652897942 752611366 1000000000000000000 365553234 256706413 323201288 261896676 1000000000000000000 801498224 698937719 264794642 35778222 1000000000000000000 558527069 169760170 5799835 88443434 1000000000000000000 53495989 6338140 2980699 15952733 1000000000000000000 296113464 184262880 180065701 158277449 1000000000000000000 706922541 485802909 646147912 135311979 1000000000000000000 179248275 53735026 43871912 126103711 1000000000000000000 411940232 358413780 25322074 278267897 1000000000000000000 589251477 456008581 247252195 347078916 1000000000000000000 138382596 111574326 33871042 113410777 1000000000000000000 108605907 49055607 19757256 100969535 1000000000000000000 905490468 241276755 266815725 835903889 1000000000000000000 338086524 123684874 308252191 165592688 1000000000000000000 714578055 392820605 360369340 77362203 1000000000000000000 794057931 319146624 102775978 301764931 1000000000000000000 161268031 121094547 72351032 156801352 1000000000000000000 243088444 217964554 212810333 153202052 1000000000000000000 926099019 424454156 285634439 891135546 1000000000000000000 976866215 700596030 429905431 439429487 1000000000000000000 823258868 727398478 599291271 431739711 1000000000000000000 888186123 223595668 731982891 847353383 1000000000000000000 380626595 170121878 144815299 139694234 1000000000000000000 908008252 445000237 646016384 327721621 1000000000000000000 77563706 61120040 51737135 27183029 1000000000000000000 723917431 565276529 484382761 38948026 1000000000000000000 291046615 35944513 190466397 80361964 1000000000000000000 700686071 298518775 45722548 182650147 1000000000000000000 439827643 195183993 286004463 102154078 1000000000000000000 928256110 812614072 123637437 217062960 1000000000000000000 923922940 411003135 200779313 105077569 1000000000000000000 448758198 123581898 243931297 205088836 1000000000000000000 498946153 407434685 327383270 82225419 1000000000000000000 189821598 118564307 93112096 175455456 1000000000000000000 764018404 72726411 31023818 6797994 1000000000000000000 143901873 27824392 30085918 10253742 1000000000000000000 508637753 108828632 252201026 349794374 1000000000000000000 462835762 134729177 228958791 409628550 1000000000000000000 414928513 390762277 100091698 347789679 1000000000000000000 208351993 33278894 142079652 96335400 1000000000000000000 17688290 14451684 2005238 2778904 1000000000000000000 792263544 149336504 741549665 130798122 1000000000000000000 670205807 69091543 221278352 56336207 1000000000000000000 13666879 5925570 2880152 532690 1000000000000000000 523683742 147101091 116524576 89983391 1000000000000000000 329221982 245670198 228325181 117166147 1000000000000000000 373693345 263233403 169884639 222849748 1000000000000000000 628578868 465266000 225178045 271725607 1000000000000000000 575480034 313972128 278636590 375895470 1000000000000000000 464563453 311542141 249064268 460383719 1000000000000000000 780564377 155183274 66373779 75836197 1000000000000000000 300804056 45594670 136435188 220529331 1000000000000000000 120228174 67816422 90382045 115889848 1000000000000000000 241706556 216005852 194999405 161720624 1000000000000000000 226785271 116324089 205973899 192570185 1000000000000000000 156038096 79284197 107437176 75064371 1000000000000000000 898200393 211172408 139076156 161213019 1000000000000000000 399427973 179088661 341024267 324115304 1000000000000000000 662427041 526484157 118353231 420678460 1000000000000000000 725205135 230952841 572799791 322490483 1000000000000000000 621779219 177303075 171532982 67544424 1000000000000000000 403182016 100949278 174971911 271214022 1000000000000000000 712764941 693703627 39386387 587318104 1000000000000000000 559350600 307132961 456569044 227036771 1000000000000000000 252574535 214120667 138545268 146369614 1000000000000000000 23985938 1740322 10499244 13836346 1000000000000000000 122440776 65672779 20566103 41811794 1000000000000000000 616510736 399407422 453517436 231442490 1000000000000000000 182049043 151474169 145771043 11578347 1000000000000000000 806656945 170981173 229565129 784037316 1000000000000000000 254278786 192149434 245979919 154598134 1000000000000000000 548929426 307756302 16884129 521729944 1000000000000000000 86829571 73555742 54376671 44914742 1000000000000000000 15118501 4644115 11724467 2885397 1000000000000000000 147853448 3515496 38215749 12948179 1000000000000000000 374692514 167430797 273174640 87053995 1000000000000000000 379817372 185278848 153785838 116849817 1000000000000000000 775402376 347394402 560957526 358647527 1000000000000000000 454319636 116004823 87963856 405296728 1000000000000000000 978354250 963258111 135613387 543945360 1000000000000000000 563843807 96753579 504305510 364814961 1000000000000000000 742642976 138728111 672153276 298721169 1000000000000000000 153763530 33278673 55344372 116262935 1000000000000000000 335550188 292917932 289707353 322496063 1000000000000000000 113808565 2590459 56676334 45277445 1000000000000000000 993812279 540381924 423461554 122110096 1000000000000000000 961519302 478734529 414119086 547736112 1000000000000000000 658126804 441516793 298381667 136689801 1000000000000000000 562279936 555058326 379837286 241147960 1000000000000000000 68562531 39949446 7217468 42836426 1000000000000000000 637830022 72725982 308265597 123474507 1000000000000000000 44736114 7125405 17178794 1487018 1000000000000000000 795880176 90116674 101275215 484266297 1000000000000000000 83761207 71224250 54610453 39693102 1000000000000000000 395061726 336201222 93801725 297719573 1000000000000000000 841076942 61807206 12383512 340147996 1000000000000000000 181174425 22226906 168223858 8101993 1000000000000000000 586068330 55804282 321159756 424369040 1000000000000000000 686278226 508065949 536193481 658145342 1000000000000000000 548500807 256126992 172077987 11357808 1000000000000000000 61887794 43793165 32706414 53460002 1000000000000000000 935418448 85435077 173581402 673603915 1000000000000000000 824222648 302209191 123800 302626858 1000000000000000000 605987542 129601315 496385562 530777750 1000000000000000000 632660982 51414807 530525406 176701550 1000000000000000000 476871957 308284986 21056344 379485860 1000000000000000000 350527485 153935360 155508329 239474339 1000000000000000000 283666630 92336696 268507398 144674325 1000000000000000000 617772954 30317420 444255947 509466955 1000000000000000000 688684711 236180119 447573134 275333615 1000000000000000000 331103352 38743655 247943383 320243204 1000000000000000000 597509261 471954588 347739488 462260523 1000000000000000000 775119807 510604732 199841996 153041099 1000000000000000000 729075075 343818085 280761584 163207959 1000000000000000000 943065883 811160064 875258692 57833353 1000000000000000000 435585424 362776085 248592850 339037270 1000000000000000000 926115495 705362107 529677129 330172893 1000000000000000000 92566129 88759098 48829857 91231428 1000000000000000000 225464897 206608433 156332317 212967975 1000000000000000000 615669138 305415619 443680393 270536963 1000000000000000000 821045494 385878614 132779058 250045036 1000000000000000000 618945681 528504356 433953975 145073415 1000000000000000000 956126603 507908984 451694226 413137956 1000000000000000000 880245544 359156738 637354248 255685208 1000000000000000000 979059971 626395767 374498131 764737638 1000000000000000000 627723544 614044526 291851361 407782737 1000000000000000000 379706672 305076184 109180507 335096885 1000000000000000000 275196493 222789450 195044218 263545697 1000000000000000000 959279867 533715784 541542979 937429296 1000000000000000000 681706456 459537109 678893411 673274289 1000000000000000000 604643944 309886607 149942603 283151326 1000000000000000000 609441610 33669246 252663594 156711841 1000000000000000000 563866870 332641093 383918671 169950627 1000000000000000000 218896553 182643222 124597009 82853615 1000000000000000000 478209868 361186918 260463862 235795212 1000000000000000000 11785295 8893213 8932433 10824334 1000000000000000000 483881033 64075224 430958643 445931624 1000000000000000000 537866314 88428179 451513705 497889275 1000000000000000000 159981437 48716248 34553494 14490807 1000000000000000000 679569914 672711859 256089506 24984960 1000000000000000000 679608989 78158375 250071954 104981293 1000000000000000000 911176131 299167030 701921695 318454078 1000000000000000000 437152260 289836570 436579199 221242915 1000000000000000000 199371450 70599862 27100456 116080356 1000000000000000000 834811999 366435803 408164332 209155128 1000000000000000000 773223143 674668618 82728215 609858484 1000000000000000000 939164504 669660449 506581957 385909811 1000000000000000000 473814089 424788503 169044055 73374707 1000000000000000000 684116193 459729200 167628629 226651850 1000000000000000000 627769318 115368133 274349914 403306256 1000000000000000000 172326801 53567471 158871991 78391072 1000000000000000000 487573719 273505607 2571888 231319977 1000000000000000000 525173385 326139958 406298510 286426126 1000000000000000000 734933492 159707435 182319252 416624090 1000000000000000000 862116411 241669449 169413202 438960348 1000000000000000000 956843554 661568327 369712140 835811 1000000000000000000 962000466 212328750 686465497 507310731 1000000000000000000 728732733 699248694 630305593 605641070 1000000000000000000 127366125 18333727 9122042 61176921 1000000000000000000 665940309 470176132 153050913 191501023 1000000000000000000 659169555 8121455 411480809 168602948 1000000000000000000 898989559 406196049 632836729 591620404 1000000000000000000 963613401 865624691 504335460 74948555 1000000000000000000 312555352 275339338 198792101 39587687 1000000000000000000 64912291 43813457 5991953 45110385 1000000000000000000 728278645 107029108 40929501 565969338 1000000000000000000 468511660 256989208 405594409 238527395 1000000000000000000 465290554 399188135 140814099 190343686 1000000000000000000 323242089 250444647 114439812 195145758 1000000000000000000 215764872 134339630 155372580 171158063 1000000000000000000 150454975 124891063 348869 133447793 1000000000000000000 76986120 47576930 42548946 24117252 1000000000000000000 243335125 231700895 88216283 214221694 1000000000000000000 202311157 121084215 37848938 34620062 1000000000000000000 969068171 392012591 50764281 533823699 1000000000000000000 102681711 85213187 66169404 17769531 1000000000000000000 915776328 849473292 75433069 904309352 1000000000000000000 806967810 375297045 15226474 432339117 1000000000000000000 845402249 729985980 28265246 592722839 1000000000000000000 528972605 522130251 144754577 23856946 1000000000000000000 603726893 582810491 42200231 327099898 1000000000000000000 10830638 10443432 459094 5786785 1000000000000000000 800795847 745859038 775078180 713001433 1000000000000000000 202835106 77197242 120180582 42315075 1000000000000000000 251657933 2273227 24765774 188745945 1000000000000000000 692692830 281910159 378045481 387859472 1000000000000000000 69577400 31451838 29171735 29642819 1000000000000000000 402062508 255950104 203690304 282939585 1000000000000000000 434430762 382784311 2363627 220500957 1000000000000000000 653224556 576592702 298124416 320166360 1000000000000000000 615119158 449701235 81376079 603567537 1000000000000000000 572560129 309667067 232844418 276770532 1000000000000000000 926488661 12800212 188756873 45218096 1000000000000000000 143818686 21049382 125618003 44488695 1000000000000000000 8993170 5926362 8725696 7289757 1000000000000000000 973519312 438156613 233382384 873674840 1000000000000000000 189635804 71243147 1936066 55792669 1000000000000000000 628604509 345325179 293811455 336742478 1000000000000000000 940271310 212463107 802669422 611408655 1000000000000000000 525557406 452168942 141337843 466749112 1000000000000000000 215259219 149921521 112636244 91717570 1000000000000000000 144354221 127395816 100030898 78159595 1000000000000000000 727345519 574703992 622373393 517556073 1000000000000000000 952593965 853711275 947006235 260761752 1000000000000000000 441433619 59716209 79776015 294266527 1000000000000000000 307870155 301082999 303115747 140729725 1000000000000000000 199538358 36683332 135303317 166144534 1000000000000000000 151744419 61763851 122593997 114325955 1000000000000000000 632252005 305089244 584388945 311891201 1000000000000000000 520328774 232061511 330426489 113134370 1000000000000000000 6377952 5751009 3427774 929995 1000000000000000000 120073054 89613591 57140233 8998583 1000000000000000000 671272044 18045015 374386857 83807278 1000000000000000000 283110510 146994713 61859046 19087063 1000000000000000000 19320058 8501884 5918215 4919066 1000000000000000000 676567908 165486686 250716605 86761701 1000000000000000000 460107175 435899101 78942988 137713948 1000000000000000000 215580391 107190312 199210407 116413877 1000000000000000000 991462055 248664733 818466325 688796076 1000000000000000000 990497310 604035006 33154912 762106556 1000000000000000000 94275924 56560867 56413886 89769797 1000000000000000000 76683797 5407896 27330117 67417273 1000000000000000000 396981313 182055432 208776450 81534903 1000000000000000000 995034934 732009315 752043202 273785986 1000000000000000000 845824619 136884098 394193844 791428483 1000000000000000000 639906683 23932855 629048764 155498502 1000000000000000000 90044553 8985410 33373413 81383496 1000000000000000000 5433148 1861465 1928387 3023994 1000000000000000000 96172795 20713095 43483495 74345710 1000000000000000000 708177178 119779719 460189521 207451368 1000000000000000000 310568708 72822254 130759923 51885867 1000000000000000000 720874867 127464834 664655007 368168619 1000000000000000000 723010313 254406073 145494339 342492231 1000000000000000000 868511542 183922789 342426335 287134435 1000000000000000000 6160757 1517526 1102595 3287649 1000000000000000000 63707938 61516709 31041948 37993965 1000000000000000000 919681064 446922286 607048592 182991846 1000000000000000000 890960872 24413258 809896312 729376479 1000000000000000000 930300571 238734789 250427076 21340778 1000000000000000000 91244591 31871876 57194560 86528379 1000000000000000000 616419360 530927902 111783091 270295849 1000000000000000000 715253829 506793406 403080767 517185625 1000000000000000000 558292760 217844979 146843576 457251204 1000000000000000000 598844460 285310017 87403906 475367372 1000000000000000000 684681917 367745343 438088230 467063502 1000000000000000000 200018220 38213378 79096534 97110012 1000000000000000000 835103229 624750338 756476429 416847981 1000000000000000000 667087834 173620400 141489441 427479713 1000000000000000000 451545250 390378445 334155958 28155536 1000000000000000000 239699137 99535982 237677975 45149559 1000000000000000000 804668495 43614267 328660640 44411758 1000000000000000000 18510571 4845341 5925159 17634020 1000000000000000000 538508259 449587159 344777315 88927294 1000000000000000000 169219461 117623383 5662622 2329729 1000000000000000000 18217360 7152999 7614778 4829650 1000000000000000000 250478128 236570165 36468243 196077297 1000000000000000000 166655953 37138403 23942153 17577863 1000000000000000000 458189065 405355216 263874617 314427109 1000000000000000000 922382660 883957884 622199005 340063653 1000000000000000000 821344900 786469041 197517230 227265871 1000000000000000000 954198801 341957115 304850720 178737421 1000000000000000000 5447791 631418 2262176 5184546 1000000000000000000 184323113 93498867 132065305 74445138 1000000000000000000 711011973 17698752 19168893 625946547 1000000000000000000 68679153 5510160 66907110 17167901 1000000000000000000 820631116 477541895 381966920 715106728 1000000000000000000 716746676 674131751 659290397 359398332 1000000000000000000 153310984 151498336 52314958 146298948 1000000000000000000 874098632 207802266 360875082 356069006 1000000000000000000 757332606 451930230 465069165 85862949 1000000000000000000 707260480 307880333 327222995 585397264 1000000000000000000 150233112 40037979 69541330 31038906 1000000000000000000 711645794 340715382 439677516 633077436 1000000000000000000 361895241 289164374 312917630 43567348 1000000000000000000 495423247 430491555 435308905 209566561 1000000000000000000 130406661 65601149 49264356 8705035 1000000000000000000 567786038 144793907 100941048 490994754 1000000000000000000 814997134 153526691 282517709 593312065 1000000000000000000 809615311 373645731 332721763 746805861 1000000000000000000 697763829 662676277 330585120 65466435 1000000000000000000 921396758 710608255 397547696 236736714 1000000000000000000 798800199 575494894 96564603 92218228 1000000000000000000 113875558 17098877 15563829 113791720 1000000000000000000 872295715 645946366 763360189 756130570 1000000000000000000 137852477 85789329 102487721 14365698 1000000000000000000 293170110 56143518 138541485 35991826 1000000000000000000 794274488 259965312 447822872 121768355 1000000000000000000 838713306 241567928 191731595 764424090 1000000000000000000 317796378 217447553 111823608 72687695 1000000000000000000 102511246 99213981 18230884 73535352 1000000000000000000 758716224 21312840 499961869 261914453 1000000000000000000 853577137 488463707 48930613 446350454 1000000000000000000 306369930 302004930 179401815 203239984 1000000000000000000 320802327 284018507 170159786 214361803 1000000000000000000 963553883 800982630 454251771 335563295 1000000000000000000 734233426 63000636 708097639 452824237 1000000000000000000 719242645 89376279 220792994 280883715 1000000000000000000 49230513 43799631 29487653 21081732 1000000000000000000 715074310 440497940 291262097 394092241 1000000000000000000 143300468 106565385 112201294 43873386 1000000000000000000 406443115 276702642 132433096 107098576 1000000000000000000 805683873 724034281 769693872 554064084 1000000000000000000 761669941 57679893 754995119 543676818 1000000000000000000 499339124 202983590 183925037 426792283 1000000000000000000 948912282 124862273 349846957 93063203 1000000000000000000 934774653 80020674 547772450 341736167 1000000000000000000 291056884 259780352 145397721 287003272 1000000000000000000 7563738 2013924 2193566 5627023 1000000000000000000 466085152 131807675 28285960 357674325 1000000000000000000 756867894 594807146 368978883 683626331 1000000000000000000 819901472 3970226 50261082 724945027 1000000000000000000 139413298 116224955 7381642 116451043 1000000000000000000 779617558 125543201 301980602 143689173 1000000000000000000 729315577 54814553 224976827 429589101 1000000000000000000 596051768 242566402 243193477 203966263 1000000000000000000 819552279 244144968 362039086 252429757 1000000000000000000 589770045 156132632 24683699 10548705 1000000000000000000 817285274 245509492 2917095 235664713 1000000000000000000 838603166 514993652 819829292 122294877 1000000000000000000 387699896 58149299 336297424 237250363 1000000000000000000 434148314 211586994 351624767 425789289 1000000000000000000 882743695 658409004 161973051 13164706 1000000000000000000 439174597 134982403 264281436 2754735 1000000000000000000 41940198 35607067 19261080 25392802 1000000000000000000 927949246 645725779 208645987 662578673 1000000000000000000 626627017 49096757 282866720 611599038 1000000000000000000 146595147 134860789 127090764 138426893 1000000000000000000 767842661 269370711 311092508 381714776 1000000000000000000 759585978 158930411 288805111 449875549 1000000000000000000 693787093 9381206 511473260 123900275 1000000000000000000 194109810 107079699 181459714 177199722 1000000000000000000 97537925 83325626 69134798 76823650 1000000000000000000 951896434 288132023 724856731 253113764 1000000000000000000 118552349 20606473 51306912 41670574 1000000000000000000 539537864 275453080 81134110 119112003 1000000000000000000 854081373 320675273 643626910 44607472 1000000000000000000 672108220 597621514 613120146 208983049 1000000000000000000 840472606 28400566 819601848 777203478 1000000000000000000 372328535 226500059 231170184 363016138 1000000000000000000 451608685 188045712 388710676 185942915 1000000000000000000 397209566 101573478 61425755 270565958 1000000000000000000 501222213 242822342 143222831 298684855 1000000000000000000 924157879 814717714 561989962 790244649 1000000000000000000 561545780 499239 365568599 531483329 1000000000000000000 740629367 680934957 242962176 503825932 1000000000000000000 785456236 251452196 565695180 133892434 1000000000000000000 770259134 119585332 262302060 224122954 1000000000000000000 530402034 231147165 507087427 89845263 1000000000000000000 545344033 458495866 268145708 428888863 1000000000000000000 712609438 444316310 618872628 95406535 1000000000000000000 559999779 248375691 559286384 14651453 1000000000000000000 745057759 484930312 630933048 78333022 1000000000000000000 30734711 19829227 10774307 12993153 1000000000000000000 172798995 113291737 45938903 129402718 1000000000000000000 119913939 81347510 18385713 2919738 1000000000000000000 506062012 241247972 201286955 53979520 1000000000000000000 160426342 107737216 109675436 155889420 1000000000000000000 163080308 102348325 79734088 147882073 1000000000000000000 788488189 492051269 455562130 433038856 1000000000000000000 72671477 64064019 4198157 14953178 1000000000000000000 163896431 124022937 160921912 96552061 1000000000000000000 347656426 193524732 19879086 154853000 1000000000000000000 472944368 431639111 64738357 363690830 1000000000000000000 282372800 158917690 89257190 174994351 1000000000000000000 519458587 230627555 58163622 20023338 1000000000000000000 498309773 93823906 58571500 186042913 1000000000000000000 660432602 544206968 54007200 648822436 1000000000000000000 82426929 70824651 759563 9519346 1000000000000000000 473260318 376724049 233804997 276364846 1000000000000000000 562249503 514344098 277757613 428888627 1000000000000000000 567236110 538951990 377816802 343341804 1000000000000000000 696420641 526284149 501523989 456175225 1000000000000000000 71049947 38562282 27461852 6722475 1000000000000000000 62078833 13159124 3872351 15927410 1000000000000000000 344107578 234420653 270900795 79073667 1000000000000000000 394496025 54425030 1555703 6528099 1000000000000000000 872056750 550275137 52419783 795114535 1000000000000000000 565311619 460355993 199363777 241767678 1000000000000000000 288373090 172901293 81011239 157597438 1000000000000000000 985864383 331363084 154465263 298192366 1000000000000000000 747950705 385677175 6729759 627119120 1000000000000000000 95269651 44734593 75365509 78733546 1000000000000000000 50165890 44019089 10786632 6221023 1000000000000000000 218460139 21282844 158881471 89646870 1000000000000000000 332914582 83178978 325219401 299931133 1000000000000000000 508105821 123221562 107108132 162042897 1000000000000000000 110872140 44278089 44784202 22343688 1000000000000000000 753712822 704877224 313349738 349212613 1000000000000000000 48486903 19432618 47603799 47571169 1000000000000000000 836483518 739552419 697637506 769112870 1000000000000000000 884293355 267732450 66001208 525613794 1000000000000000000 847785739 521029715 313534731 48007824 1000000000000000000 215925511 71213005 77178945 144282666 1000000000000000000 907725951 698973796 119815781 329181913 1000000000000000000 912696997 454329416 197655150 687002155 1000000000000000000 553134351 304804545 412253462 132516875 1000000000000000000 963341448 147674828 284872389 432088374 1000000000000000000 479904037 96762741 430387628 309634898 1000000000000000000 921729313 345869240 866403172 313928783 1000000000000000000 657756206 626988912 284428480 407615639 1000000000000000000 450549654 92089080 218243988 136433844 1000000000000000000 630522741 146172216 379883742 579307649 1000000000000000000 13115952 9855514 1617352 5550882 1000000000000000000 609400358 314190147 85497071 146998265 1000000000000000000 9102783 8717498 3192487 3635323 1000000000000000000 5260268 2765340 3197854 1424474 1000000000000000000 966590497 91657409 454830406 889896725 1000000000000000000 152192815 30267067 116997374 132219654 1000000000000000000 202285843 79142395 54984429 165877218 1000000000000000000 55339272 6820171 49520902 38665504 1000000000000000000 13230341 10448429 8452925 6450571 1000000000000000000 946743488 761106515 706841729 336740308 1000000000000000000 226505475 10695350 15097120 85614889 1000000000000000000 857607732 392673268 725209178 313434562 1000000000000000000 659198734 518581495 126542712 505364879 1000000000000000000 864651573 837669234 475336690 189622685 1000000000000000000 176363669 23958670 165703846 173409709 1000000000000000000 657807420 247849705 415426647 426501840 1000000000000000000 356554691 41737629 83046949 314328706 1000000000000000000 509430708 393376592 310852677 439920450 1000000000000000000 732454000 279825643 317944306 304320922 1000000000000000000 899078043 270848109 193384376 873647829 1000000000000000000 321943060 6953289 77281216 109236521 1000000000000000000 159764901 2310282 159112408 85806996 1000000000000000000 498792212 328449464 255085347 495070553 1000000000000000000 84499722 51507183 28089770 47907564 1000000000000000000 590546354 427193973 465365400 265611590 1000000000000000000 303804658 137783768 7518236 48510948 1000000000000000000 941771164 829043804 837761375 930314334 1000000000000000000 376938821 70690997 322672805 205851727 1000000000000000000 921247447 31188249 181219090 547720358 1000000000000000000 151323582 59669185 30736409 98478208 1000000000000000000 774672787 497798474 559201614 625131392 1000000000000000000 296898544 251383539 27341893 2099415 1000000000000000000 404463151 273695907 155173140 344113398 1000000000000000000 775567428 167577163 511251840 665105733 1000000000000000000 425124925 105086267 53051123 298966944 1000000000000000000 845081459 929052 749007763 123249510 1000000000000000000 412581919 104536690 166886487 195648256 1000000000000000000 16144193 8086564 5862860 9652006 1000000000000000000 974234037 215807092 151792286 27419629 1000000000000000000 947203627 441811339 783537747 754899632 1000000000000000000 649761082 11327021 537239092 430824954 1000000000000000000 968707032 527357218 167384791 7317521 1000000000000000000 824873764 794948092 675937202 469900328 1000000000000000000 19423958 395768 17394977 2012612 1000000000000000000 494001217 386535458 480946526 183267327 1000000000000000000 532347525 41493340 445273804 518476002 1000000000000000000 913847825 202609571 608649955 455806623 1000000000000000000 515612888 39108846 418537153 328765611 1000000000000000000 840150714 103836643 581587503 724576592 1000000000000000000 829619682 232004226 440943900 512680926 1000000000000000000 194518398 107399045 66261395 149230365 1000000000000000000 503711712 318108431 463483308 429993487 1000000000000000000 888191165 598760139 632388732 385623781 1000000000000000000 230241924 138886116 127028347 152604769 1000000000000000000 684112950 567341122 589270647 49377945 1000000000000000000 987785629 17636825 617353344 6849245 1000000000000000000 174435901 157980453 140417004 43943655 1000000000000000000 300526168 152942337 146469666 133797598 1000000000000000000 806137419 464339244 589517389 453070075 1000000000000000000 38100642 25085916 37964459 20608139 1000000000000000000 61498106 22795403 55702814 6666444 1000000000000000000 28814699 21414009 4673171 11422908 1000000000000000000 454398192 143323174 238373043 13016244 1000000000000000000 100533068 7629570 96405489 29788835 1000000000000000000 270274737 227229076 24319989 61754003 1000000000000000000 220217107 184025431 172043742 134046333 1000000000000000000 368052538 264436322 277434364 238946267 1000000000000000000 569513272 231149818 91150254 410538719 1000000000000000000 577434737 29983772 536215238 165403952 1000000000000000000 522846040 193897508 504041937 139522533 1000000000000000000 841022 115615 538645 201021 1000000000000000000 205839123 201746360 40336450 162100248 1000000000000000000 975185190 953254752 345258668 754801761 1000000000000000000 682174753 611899043 390518778 91132107 1000000000000000000 225444504 2439422 91218183 221790226 1000000000000000000 220437663 122812322 57796107 168296495 1000000000000000000 472856271 406697242 286336245 144038095 1000000000000000000 276547140 41364522 185777898 183676217 1000000000000000000 610170983 7106203 178436481 124373048 1000000000000000000 408141222 401528736 63117225 321621681 1000000000000000000 759154792 605368949 724063659 553324896 1000000000000000000 633662573 509717357 552937857 21193316 1000000000000000000 78869348 17914750 68863041 23304701 1000000000000000000 951659110 709432058 292307213 542307752 1000000000000000000 594581151 248488994 46918436 509360528 1000000000000000000 720673846 98468982 525177782 395621533 1000000000000000000 65659787 49241615 39662755 29668709 1000000000000000000 892251851 885285206 134419646 401877891 1000000000000000000 126516604 67315607 39028575 36700478 1000000000000000000 138814084 29595337 81717874 82432869 1000000000000000000 338729011 120288055 262926097 6779403 1000000000000000000 446222838 70852588 53513762 6836305 1000000000000000000 664782141 533405011 78390692 600772170 1000000000000000000 619345603 362773821 69561245 304700042 1000000000000000000 631533559 329141178 99595142 35675033 1000000000000000000 495017248 318471804 258506865 490405572 1000000000000000000 249690839 221042094 182285768 133940831 1000000000000000000 879509444 1332287 425599802 443835232 1000000000000000000 694180245 233930104 299402468 347511448 1000000000000000000 704953591 122599501 634236596 503583865 1000000000000000000 795669897 305092011 337872714 747203025 1000000000000000000 641929934 253451297 578935497 281727531 1000000000000000000 350775352 328184353 305901845 25415395 1000000000000000000 538337324 385626470 483877016 319760304 1000000000000000000 706290014 566481311 368719989 644619402 1000000000000000000 655348869 634140429 416509054 553865704 1000000000000000000 866734905 519063141 727889661 604220627 1000000000000000000 89155045 64701280 2723300 24878264 1000000000000000000 247279004 176617460 20976197 67980093 1000000000000000000 781975403 191147614 321434378 483380785 1000000000000000000 450538533 331083467 358336313 325121204 1000000000000000000 804201384 405489555 65204592 672358195 1000000000000000000 590138077 464999784 33234182 189787297 1000000000000000000 467775444 311068899 437442014 228382351 1000000000000000000 793415943 215717969 214896534 149237089 1000000000000000000 485998869 26514403 468076241 322869963 1000000000000000000 138905862 122783507 2036551 120321550 1000000000000000000 502145576 187885804 109688578 156468733 1000000000000000000 785309259 103837668 665404643 737880362 1000000000000000000 1281271 402172 267231 665558 1000000000000000000 167786687 104261162 160840123 52291433 1000000000000000000 519197535 477292427 213120997 326675844 1000000000000000000 835129072 240634333 56558647 570771543 1000000000000000000 804928160 49984166 444518451 716885195 1000000000000000000 443779297 139945775 293283826 190999520 1000000000000000000 170037100 19035657 99828958 129874857 1000000000000000000 32188802 647528 13093397 24270927 1000000000000000000 221491954 113553017 137941149 47647882 1000000000000000000 111320825 11199587 73513470 85485244 1000000000000000000 913060705 237236986 458610183 17921808 1000000000000000000 583195240 456509377 432764825 500025461 1000000000000000000 780867091 167545158 567905686 481180968 1000000000000000000 656859830 527784064 109825874 378215901 1000000000000000000 366097751 140829991 358499551 221684318 1000000000000000000 602204144 267434680 10469143 265954126 1000000000000000000 81355512 33277345 26531065 18565989 1000000000000000000 5267737 3092400 1937056 2355898 1000000000000000000 310116845 139536332 282964945 245342838 1000000000000000000 670294648 649850119 409174532 606118994 1000000000000000000 993346829 97277285 928835282 718153082 1000000000000000000 635655590 560282053 576190995 578055684 1000000000000000000 349706383 66423913 59709669 23475276 1000000000000000000 276401 254092 144156 189161 1000000000000000000 310544939 169874205 301350609 15957314 1000000000000000000 360142091 332963052 87558655 309332634 1000000000000000000 131892441 77237295 61457351 102561803 1000000000000000000 726606559 2564877 571374360 697274437 1000000000000000000 498236374 398966562 77874789 151051813 1000000000000000000 697517449 355173609 233995543 690831231 1000000000000000000 475500693 63708028 51554467 323295612 1000000000000000000 192780792 181713004 170229928 32512584 1000000000000000000 351199507 229132545 35215773 239063129 1000000000000000000 928549977 525365213 490196332 18300158 1000000000000000000 653037610 590731479 333991532 211042746 1000000000000000000 768050162 230861602 130504150 681165553 1000000000000000000 78871026 65580640 38670546 27737517 1000000000000000000 777189376 103731534 293188834 183709646 1000000000000000000 117408561 45520460 116011222 22015852 1000000000000000000 81874159 73541732 23020794 1235227 1000000000000000000 935532831 826349849 208558804 277608595 1000000000000000000 163308692 162987253 17297184 95532611 1000000000000000000 824990843 788311935 532866794 285917356 1000000000000000000 985192928 476063958 818757492 447106030 1000000000000000000 528980558 187618561 342517317 263307735 1000000000000000000 951054090 397712153 632983373 571921885 1000000000000000000 765696020 377336761 546166876 476631783 1000000000000000000 506628160 361688108 130980125 415134734 1000000000000000000 991051279 974941992 675404070 916514700 1000000000000000000 678910713 319213717 608373756 296011571 1000000000000000000 125494086 115868029 29150007 93117833 1000000000000000000 470097405 5937336 367091999 102784460 1000000000000000000 797109980 773671378 610896418 298745681 1000000000000000000 935834688 256088459 71912009 18938227 1000000000000000000 975311084 472173281 893589820 481857186 1000000000000000000 687094919 307544373 128947627 485118578 1000000000000000000 302998260 117479184 132364064 148311560 1000000000000000000 269316215 216518527 109906508 211327479 1000000000000000000 367074375 173309018 49579037 31812387 1000000000000000000 495249169 170483194 466535599 64895086 1000000000000000000 731746459 326476448 445756488 87295936 1000000000000000000 206917922 175435937 23127533 167094767 1000000000000000000 124325808 85496581 106008601 104359329 1000000000000000000 177554234 92929618 98041858 137956589 1000000000000000000 299488171 59884350 177026557 1671275 1000000000000000000 297957561 55733532 13540479 251450875 1000000000000000000 32331164 8321988 1422842 3411656 1000000000000000000 105875057 54634941 28909071 91401251 1000000000000000000 707264953 151509389 645666204 20540143 1000000000000000000 650910518 510050309 407373287 265536668 1000000000000000000 490015954 218328577 260127999 145903889 1000000000000000000 929073686 871186607 407816429 832799090 1000000000000000000 875232764 867660312 397907800 507574028 1000000000000000000 390302654 16500595 205489728 342824453 1000000000000000000 10958481 6897100 5262521 10156641 1000000000000000000 349283126 81633253 128601002 337851367 1000000000000000000 629513205 112375813 309729676 426353349 1000000000000000000 690650837 463408209 552303695 36630111 1000000000000000000 326582852 240014477 254651907 225905689 1000000000000000000 841080833 282984150 10416939 749624641 1000000000000000000 575804751 30187350 185080959 184983204 1000000000000000000 610548345 188418889 33341240 293155465 1000000000000000000 277885536 157266696 21363377 184944091 1000000000000000000 979837960 356084432 373603129 805708282 1000000000000000000 320625440 30422244 200121902 288642081 1000000000000000000 944453569 40265786 23773214 396854830 1000000000000000000 344610092 148607259 323212108 134775565 1000000000000000000 793661452 477365854 206603637 119632341 1000000000000000000 23936516 8846692 4906290 20802534 1000000000000000000 133051303 109476010 65525383 109545834 1000000000000000000 914330450 171598402 70977483 887672321 1000000000000000000 913510476 432392948 603579187 722796917 1000000000000000000 258199910 224813978 148719136 5024987 1000000000000000000 483104606 137996391 182166167 163937033 1000000000000000000 920768590 604030721 87011244 84217357 1000000000000000000 481461280 464603708 311270724 394084703 1000000000000000000 939097626 761149582 652030310 413352563 1000000000000000000 996318271 520553365 557495178 753807644 1000000000000000000 839776211 782280932 450869203 302256209 1000000000000000000 523526822 221386567 149876181 390039937 1000000000000000000 9700593 860106 2935493 6585934 1000000000000000000 265597914 49115413 120789773 59778685 1000000000000000000 150322775 33699966 130679537 82238599 1000000000000000000 675441453 647921427 315411015 33889846 1000000000000000000 783054012 457127950 134197208 677613272 1000000000000000000 556878494 55674371 447495871 308300244 1000000000000000000 699339179 92661727 541928283 19269074 1000000000000000000 14329322 8629361 1229854 226304 1000000000000000000 609455319 418914197 138751659 303107589 1000000000000000000 318721552 231595828 297072998 103042274 1000000000000000000 653458624 156264518 110046979 583604107 1000000000000000000 965994645 486915110 135962995 256679433 1000000000000000000 970250410 36259236 273030971 791339965 1000000000000000000 696977992 550176582 459791034 38014071 1000000000000000000 820954880 616748518 131932031 646789639 1000000000000000000 79404788 2446626 39115278 58152128 1000000000000000000 939222111 186964405 351803628 107525689 1000000000000000000 896414378 812325364 758490645 308391294 1000000000000000000 722822825 501487751 513035369 401541695 1000000000000000000 386879920 68508963 279453644 92736425 1000000000000000000 424285947 345136846 306975542 239173974 1000000000000000000 354158827 281463695 302016861 135384963 1000000000000000000 160829234 20107106 119997598 142308601 1000000000000000000 162588375 75826127 96884101 126346852 1000000000000000000 653185306 612966953 521526800 202669751 1000000000000000000 332420883 303821613 15674483 185726451 1000000000000000000 136539186 21419679 67933362 109861287 1000000000000000000 934831041 440037818 728542106 230431 1000000000000000000 758034718 677643047 213813223 26594997 1000000000000000000 477624703 146976760 143176444 77886274 1000000000000000000 966396048 320731625 709992174 575688857 1000000000000000000 306696840 185264919 122898306 253865751 1000000000000000000 660982231 46594468 483858307 449058056 1000000000000000000 603024914 215711413 153414345 113600856 1000000000000000000 77992609 11370838 62812654 10185564 1000000000000000000 380048909 122401784 376720981 244103619 1000000000000000000 214172268 191782357 135250476 156875281 1000000000000000000 178016702 147526563 55681381 63931050 1000000000000000000 890701709 314688375 421332952 456996142 1000000000000000000 933307511 32329405 106031322 559804461 1000000000000000000 588798575 427712298 29138964 344270501 1000000000000000000 109947050 40746165 93477057 18394472 1000000000000000000 254748546 120372224 137308816 117955504 1000000000000000000 931169838 384336706 199680476 458851197 1000000000000000000 46932508 13516363 12387924 4440930 1000000000000000000 165303757 165010050 135222886 49977970 1000000000000000000 943641596 185398561 156378393 512709156 1000000000000000000 541784221 351039420 167013416 93611789 1000000000000000000 3639008 433356 373424 1261660 1000000000000000000 96016346 83441510 18648675 81965085 1000000000000000000 299861842 161786255 236623377 82732899 1000000000000000000 148218335 96843382 147751345 47080532 1000000000000000000 731586988 727340593 268713897 247037746 1000000000000000000 393460019 187747605 202677039 391331545 1000000000000000000 493687685 120642485 440674462 183789525 1000000000000000000 306746061 122707272 294147515 284211625 1000000000000000000 456381 33163 204645 231091 1000000000000000000 145738152 41415675 103153591 47171408 1000000000000000000 73106413 14854799 70314181 10366759 1000000000000000000 732131222 559144281 179060452 305883352 1000000000000000000 532759400 481716535 130288560 161174482 1000000000000000000 847157997 575169209 160823821 13108571 1000000000000000000 17488626 9642534 14275274 2393336 1000000000000000000 254370827 34470809 40672902 201606786 1000000000000000000 552456200 468865975 244433693 29404627 1000000000000000000 763949952 577056292 417528361 610533412 1000000000000000000 133743561 119709660 67473375 81439850 1000000000000000000 156858866 70354368 141673062 112403942 1000000000000000000 486149658 155693455 113877325 444367189 1000000000000000000 746118652 541827789 202095317 697778194 1000000000000000000 127611847 48524436 94632331 87503204 1000000000000000000 931323252 20801316 809689471 465354958 1000000000000000000 245287802 156635587 22486182 241026276 1000000000000000000 418437794 130028283 135213774 127489969 1000000000000000000 35063276 6683166 3990990 17984470 1000000000000000000 272331717 5274440 42552010 71870741 1000000000000000000 485323524 406323767 199602596 23722975 1000000000000000000 199821322 106678014 103773793 43444885 1000000000000000000 491077094 445427434 29144573 250617418 1000000000000000000 744042538 539179239 390630363 490608526 1000000000000000000 9697702 8800322 9034141 353358 1000000000000000000 973232156 958606046 445628704 88339825 1000000000000000000 213906332 27847698 185635698 123484194 1000000000000000000 373708804 182859041 289704638 18195326 1000000000000000000 393717893 363340550 262725948 2398086 1000000000000000000 8476789 1371685 7322099 4979447 1000000000000000000 434395383 123288161 219179523 110182482 1000000000000000000 91571349 89473809 75446502 13480930 1000000000000000000 417095523 95777101 12472068 236642177 1000000000000000000 599241166 2618631 524838282 108406992 1000000000000000000 217993468 42215878 8528375 110808557 1000000000000000000 957131615 120854381 869000463 869777539 1000000000000000000 319690007 109902229 192965168 102158151 1000000000000000000 353948455 284431924 156401811 223595141 1000000000000000000 597397109 507776152 243131766 83316488 1000000000000000000 481335517 184373994 312167119 107388292 1000000000000000000 889484853 690085095 743978103 422634392 1000000000000000000 552101767 209128232 84571342 419839645 1000000000000000000 72725001 38637490 33037913 53523913 1000000000000000000 975530164 592161549 841214135 698102144 1000000000000000000 494818180 225429926 279982587 319324497 1000000000000000000 76300913 3277235 13322337 49887956 1000000000000000000 56746117 9246266 14621136 49384361 1000000000000000000 838333876 87340701 463141771 737560151 1000000000000000000 789145472 374515090 417187648 182398125 1000000000000000000 171896527 79098691 12087656 50696618 1000000000000000000 525395124 456391818 397323401 454563316 1000000000000000000 81851133 69327002 43734449 22348156 1000000000000000000 136444600 80788442 37417025 130751464 1000000000000000000 2541698 2165331 2494500 2375918 1000000000000000000 894931585 492383160 762574907 731135976 1000000000000000000 583228727 334166845 149059735 502384530 1000000000000000000 73138837 16367017 45116153 54144007 1000000000000000000 888759991 808127564 355777248 527099199 1000000000000000000 104386468 23817816 58420810 28088461 1000000000000000000 794078324 384295234 337888614 105247979 1000000000000000000 351990554 141479812 90808106 134269577 1000000000000000000 411429453 83733634 231502583 275935383 1000000000000000000 527963790 119469050 386927043 39677019 1000000000000000000 302013062 70714007 248083782 4499169 1000000000000000000 114037512 77275074 89235903 57497665 1000000000000000000 170462145 161654322 94575010 167438548 1000000000000000000 545694605 334443614 363892652 262488377 1000000000000000000 40116486 2952691 20293414 13891509 1000000000000000000 652696572 444411822 202089813 250275284 1000000000000000000 722693087 196853503 176515172 95215134 1000000000000000000 554150181 147213396 250132882 455299517 1000000000000000000 808917931 616426861 749522194 57014759 1000000000000000000 877153146 11695975 839037962 813118897 1000000000000000000 202785596 95831392 156149501 155323002 1000000000000000000 320270745 87716279 3627797 131901290 1000000000000000000 294251904 62341228 31395813 109771635 1000000000000000000 132839828 125820104 127115715 116314649 1000000000000000000 913953950 359722724 584558974 574289930 1000000000000000000 493662897 389528617 285521954 325400776 1000000000000000000 827015416 689848138 214093662 717559816 1000000000000000000 771527771 475087033 588951355 154859806 1000000000000000000 437979376 109099279 257962770 366149531 1000000000000000000 574773995 290695135 406077909 292546947 1000000000000000000 504385111 306826457 255601693 240753350 1000000000000000000 322080197 318198204 89312147 255795504 1000000000000000000 179683120 154861786 19398216 153965354 1000000000000000000 874199422 653319751 371302189 181050165 1000000000000000000 831865523 815158461 697836269 753780677 1000000000000000000 142194205 11587643 116072054 78224968 1000000000000000000 955856333 604013932 24995464 472568867 1000000000000000000 240458259 193714288 3534238 45069950 1000000000000000000 104159651 47416495 9590371 102931296 1000000000000000000 371366035 333129925 170894272 116334090 1000000000000000000 46467906 17831774 11306523 14239782 1000000000000000000 568875088 199012677 412556786 10772815 1000000000000000000 699311944 538329209 471712075 588641864 1000000000000000000 515414983 481777476 311263623 99679483 1000000000000000000 622246660 150889118 226993908 272364091 1000000000000000000 999939015 560812419 627235327 199384553 1000000000000000000 476294026 429625599 29150353 54707529 1000000000000000000 349854875 235011523 64385307 79527347 1000000000000000000 214279349 74691055 37450378 94047525 1000000000000000000 504625543 178078413 131203176 19394202 1000000000000000000 259148012 210130645 152882164 27949919 1000000000000000000 665694266 215417119 290258291 189371415 1000000000000000000 497981273 59929074 121416264 277493627 1000000000000000000 528063426 270240075 110153962 103519323 1000000000000000000 993270320 217961119 579532706 309033281 1000000000000000000 871146464 517486123 570513699 51734993 1000000000000000000 862543660 729616244 582262544 245166660 1000000000000000000 104261626 67007565 43673375 53956961 1000000000000000000 332912734 178506574 106926816 248863771 1000000000000000000 824805518 228865992 776506698 459028422 1000000000000000000 526017203 321187469 340406297 520076794 1000000000000000000 953578741 21748236 53671902 716358822 1000000000000000000 98317263 85155546 74565100 30618654 1000000000000000000 498613191 262349695 372052280 84986179 1000000000000000000 908163506 309219820 757785363 388141587 1000000000000000000 122607681 91208890 25323001 41989554 1000000000000000000 59801561 19016796 4053509 59669651 1000000000000000000 392573378 196729494 238702189 87680377 1000000000000000000 652142050 310397539 305600630 174610143 1000000000000000000 839544347 741417287 429537914 330932061 1000000000000000000 752021223 27399455 440886226 23863187 1000000000000000000 558190698 154368608 442578544 100377371 1000000000000000000 697342348 573199046 387282199 98173426 1000000000000000000 453281194 427719899 193661753 129339068 1000000000000000000 747904838 702618180 487024491 101977815 1000000000000000000 627426219 29944839 289891250 431720578 1000000000000000000 85148858 68632545 71980131 71054903 1000000000000000000 360968606 225190119 93629215 356788325 1000000000000000000 129258385 52869408 93340203 106196094 1000000000000000000 767216130 638492827 599161438 539204053 1000000000000000000 335065203 265033433 180294973 208113231 1000000000000000000 871500157 850547125 860230409 809451755 1000000000000000000 916087023 576252415 756413123 84776043 1000000000000000000 695783937 189390842 590227554 542734211 1000000000000000000 729392986 626997567 335312218 301463691 1000000000000000000 150692336 70969658 59150481 26747602 1000000000000000000 953148653 793795781 14178390 746599626 1000000000000000000 353121788 144882709 271203686 40634646 1000000000000000000 828924998 438591698 44673927 370752189 1000000000000000000 682125980 329337312 249298916 45454878 1000000000000000000 659452888 609594689 534680865 130737078 1000000000000000000 217250545 69326138 83621516 65568461 1000000000000000000 156688063 29199914 111476240 155751315 1000000000000000000 593930107 481223550 380531418 316096361 1000000000000000000 423990377 413201007 73760613 154981238 1000000000000000000 376370333 208948215 72869019 256233713 1000000000000000000 925403709 357732528 328630191 896107452 1000000000000000000 938046352 784601203 670260583 119434326 1000000000000000000 868654926 285584973 706290901 743259269 1000000000000000000 49296528 44914414 30364276 30613983 1000000000000000000 713633682 692618718 184728682 355889902 1000000000000000000 698466212 583110507 626993851 675289802 1000000000000000000 698574226 114210025 446140363 651070077 1000000000000000000 313049212 252706772 276949730 84160585 1000000000000000000 518404151 15865706 170773985 341475855 1000000000000000000 699919900 20398973 457437316 150070789 1000000000000000000 344030882 152911619 47775461 69413676 1000000000000000000 1384900 1271979 1040167 267152 1000000000000000000 781790283 453292064 327329887 464372247 1000000000000000000 204340393 67055133 41363972 102822884 1000000000000000000 435067015 302106663 122492846 97734291 1000000000000000000 189546260 54407738 49904709 117306206 1000000000000000000 375419376 38367620 81432710 22456367 1000000000000000000 731201904 255866690 448955218 176329572 1000000000000000000 824106211 344581489 76374360 748524700 1000000000000000000 882656978 367066473 104542781 468546086 1000000000000000000 579103812 425553783 241042920 375857300 1000000000000000000 72538273 71260889 56469686 49148587 1000000000000000000 320211570 122031853 285189808 13609117 1000000000000000000 702945382 127593566 168251522 697032958 1000000000000000000 103191842 102122002 736711 34933161 1000000000000000000 834230455 293076566 66895071 459798461 1000000000000000000 884718516 12155795 543272401 366217516 1000000000000000000 749612325 494334814 355214845 201744048 1000000000000000000 214196889 152611756 174976102 158006722 1000000000000000000 288774044 28726572 96544743 166924412 1000000000000000000 588196047 80350477 277686771 229084275 1000000000000000000 583457343 264278602 504012346 401332480 1000000000000000000 535276899 470348483 3848529 207026929 1000000000000000000 962005946 38736768 194853737 282185533 1000000000000000000 223730712 220348507 9695902 30962115 1000000000000000000 662335587 385020610 122463792 651166145 1000000000000000000 596203193 147667671 539188378 366634448 1000000000000000000 792508160 433052865 770140612 555020825 1000000000000000000 380622348 313726309 186950190 150536769 1000000000000000000 510633756 419089697 162874687 381275431 1000000000000000000 509442362 334211191 368180468 342845338 1000000000000000000 440985483 169101521 114100820 72776133 1000000000000000000 631614937 63225110 629409911 5040802 1000000000000000000 479950417 35748294 146240505 42585834 1000000000000000000 556270747 145202022 221383174 474255882 1000000000000000000 705978539 331464260 620861662 692181101 1000000000000000000 235113573 2677076 122892497 95237497 1000000000000000000 693356315 545297142 342223566 65801441 1000000000000000000 341770237 138506368 251807408 2917401 1000000000000000000 223974981 191235376 25390742 135412862 1000000000000000000 347625202 338028836 213115432 59662783 1000000000000000000 492514483 270831984 82116689 316890537 1000000000000000000 317069034 110162964 109683978 125638908 1000000000000000000 95986800 95134397 35844682 17927472 1000000000000000000 963757556 187040171 713985669 286562721 1000000000000000000 765985657 289933475 519876867 489377632 1000000000000000000 380548477 342196243 214658604 222493440 1000000000000000000 266488 57384 82050 114105 1000000000000000000 405937460 293560152 79450001 251539733 1000000000000000000 780393491 760570581 82772480 125430313 1000000000000000000 685751756 44675521 431568473 515256325 1000000000000000000 836502683 256319932 277749109 602921277 1000000000000000000 267748160 22841375 138149510 166243222 1000000000000000000 357414854 35141860 137231945 116956998 1000000000000000000 901373844 136603623 71279697 441143290 1000000000000000000 717483074 43671367 212437097 128691855 1000000000000000000 928857511 482060410 123344827 349083709 1000000000000000000 83040768 71345790 53554911 30490690 1000000000000000000 820872266 618882462 439648916 379995719 1000000000000000000 381386041 180614865 88441826 93386121 1000000000000000000 693237662 613030832 295900689 86917368 1000000000000000000 536694266 441109899 297104743 454404634 1000000000000000000 613157683 205170323 315582741 125756961 1000000000000000000 841323490 261133672 197777730 552308490 1000000000000000000 522549069 347044024 229701827 327262292 1000000000000000000 958436943 631378723 379923178 429571632 1000000000000000000 579201023 324917013 528375132 258040813 1000000000000000000 53941762 38516111 14742776 10253817 1000000000000000000 127371587 7765273 108526504 31343083 1000000000000000000 873806653 79665118 203222858 440839161 1000000000000000000 11180167 6744251 8095399 5183821 1000000000000000000 895547 104064 815692 43696 1000000000000000000 281962737 179018690 144358295 256194240 1000000000000000000 344264497 261355809 121508793 127873133 1000000000000000000 681770678 113454858 132211764 653405663 1000000000000000000 568313083 4355678 149069554 286146154 1000000000000000000 825600578 499402072 30040452 481184428 1000000000000000000 380193656 28107325 324032866 299373962 1000000000000000000 600766520 70700828 221942398 139823431 1000000000000000000 138349027 60287774 80911083 110290282 1000000000000000000 648762832 156082657 467086516 570816994 1000000000000000000 966130759 3047088 14644946 782841717 1000000000000000000 67381918 17219678 60164390 10243155 1000000000000000000 269448526 165621912 75470960 218845416 1000000000000000000 768304626 32744393 456516531 750901813 1000000000000000000 636743019 361012871 194397743 37912002 1000000000000000000 712540020 636642686 632117657 515890037 1000000000000000000 92946341 40662965 52586595 7270861 1000000000000000000 700287913 64800417 25768366 148922442 1000000000000000000 571811273 101746164 243515123 241874676 1000000000000000000 231829361 17081290 220737323 61892397 1000000000000000000 378115030 215153911 95725069 11332441 1000000000000000000 688843948 39816827 649543120 369429294 1000000000000000000 491481127 220221365 1142410 404865989 1000000000000000000 732786589 580473782 535628449 419742831 1000000000000000000 343071046 42543280 330948595 288087880 1000000000000000000 176411070 142599702 74640038 104631408 1000000000000000000 369734673 199495528 9651441 177066259 1000000000000000000 564522292 421594880 246101742 415775243 1000000000000000000 466047448 31608038 377943917 301222841 1000000000000000000 87329929 28249912 70909973 42119053 1000000000000000000 785885214 54307757 5011783 168773831 1000000000000000000 185115241 54381836 126376886 179729321 1000000000000000000 739905830 406759494 144373466 64244127 1000000000000000000 230699196 71897970 92874417 199544624 1000000000000000000 902748634 47509583 394574171 640744931 1000000000000000000 704595678 281069091 41330576 143987260 1000000000000000000 422879505 144876837 231623621 328635791 1000000000000000000 746150251 283160362 618746155 319797242 1000000000000000000 514774646 492764875 244924501 206459628 1000000000000000000 440645542 230321889 299668756 215794649 1000000000000000000 707392420 431835060 638377776 660727956 1000000000000000000 809255957 208376748 477352567 714169807 1000000000000000000 810131920 474306913 677487940 577128928 1000000000000000000 806071419 74009494 702829326 127751142 1000000000000000000 920357548 631672928 516805197 600116974 1000000000000000000 863824306 705357229 542359103 831044441 1000000000000000000 908853169 892736414 680964061 617888498 1000000000000000000 144223352 67054865 87857832 6818503 1000000000000000000 891073335 634390580 681113881 439640004 1000000000000000000 502863411 377766824 51403080 288278600 1000000000000000000 215588083 129886606 18722615 156560548 1000000000000000000 111527810 54293583 24145175 72420869 1000000000000000000 661601049 441556246 394173953 387250522 1000000000000000000 173100674 135098424 66445645 78412737 1000000000000000000 179548433 139031640 133231624 18794600 1000000000000000000 677526970 288936701 665182245 77781637 1000000000000000000 642083356 197353572 73607908 630533411 1000000000000000000 225778632 211480145 145935953 76591055 1000000000000000000 482569132 476212651 50724608 312487198 1000000000000000000 986325593 156551771 653162684 444811390 1000000000000000000 821003871 285723325 301648279 244734063 1000000000000000000 653811388 166442728 137856189 338156768 1000000000000000000 335146791 94961275 174588593 119445745 1000000000000000000 555021010 131313686 88186711 389610930 1000000000000000000 141566772 77716305 128588982 24619010 1000000000000000000 679577080 676738343 649781488 654472692 1000000000000000000 673728720 156224115 622609928 126554271 1000000000000000000 240948750 4252765 30838060 159376288 1000000000000000000 59790203 49058786 9736852 2490203 1000000000000000000 282840634 160165932 135989836 20129911 1000000000000000000 992844936 615373550 860854237 184030055 1000000000000000000 1421644 874497 134447 409387 1000000000000000000 155323668 17262169 29475025 57240723 1000000000000000000 172427168 23605424 40389439 113190488 1000000000000000000 354131793 219340178 262596946 208914117 1000000000000000000 718953895 126775061 180300967 521682032 1000000000000000000 609685785 570618245 19159138 161385401 1000000000000000000 210879774 61046397 167691467 205314177 1000000000000000000 561311486 57847771 551018463 185388790 1000000000000000000 799652482 488408624 429719187 577558680 1000000000000000000 303587136 126899937 208851073 104983448 1000000000000000000 116375507 59800422 4634058 106681087 1000000000000000000 744804735 108870435 188121260 524366991 1000000000000000000 655522322 587104932 168054343 645719963 1000000000000000000 709474992 104581038 17778414 307977437 1000000000000000000 681329498 536207701 661795836 21001214 1000000000000000000 879557787 345539769 231193275 851256147 1000000000000000000 705325738 522059813 530348625 554572147 1000000000000000000 687933707 574145451 528721284 48630321 1000000000000000000 882832723 472015065 725971974 119750762 1000000000000000000 200715852 37571626 45534684 175083935 1000000000000000000 211574037 101300401 79293838 7107475 1000000000000000000 792834411 528049380 284725549 559039786 1000000000000000000 844875447 693268913 192869250 529255040 1000000000000000000 375187012 122987346 295291351 279338986 1000000000000000000 524155304 89580917 521243313 192679575 1000000000000000000 126551335 25518069 35774034 36756715 1000000000000000000 573058866 72530229 25281526 275888950 1000000000000000000 808900146 375485537 623496272 431293406 1000000000000000000 378615774 207758507 354671188 248807909 1000000000000000000 898875418 726860440 97024618 41114926 1000000000000000000 776603339 404557461 36881535 694246163 1000000000000000000 731824815 234505888 380365069 232729887 1000000000000000000 863341825 194479365 760822926 480163608 1000000000000000000 292197571 224923761 192134141 155851179 1000000000000000000 733171271 341768877 661591564 642008056 1000000000000000000 957225406 899480053 270032168 308549489 1000000000000000000 593443904 59182340 444590889 217840686 1000000000000000000 692746315 444788189 201245592 228263253 1000000000000000000 409181050 4647431 25059475 148422856 1000000000000000000 470071589 293505154 218288842 211390687 1000000000000000000 456067091 163756208 102740250 377397250 1000000000000000000 928880418 13018462 827526969 208194583 1000000000000000000 39793744 24115455 35438121 130353 1000000000000000000 956829477 138918856 698389692 757661880 1000000000000000000 46369474 21952872 23015987 44695872 1000000000000000000 297176041 22176964 292323964 246873888 1000000000000000000 892827038 507366646 170223096 634039830 1000000000000000000 482949898 175090457 195642772 211874672 1000000000000000000 118762814 101768459 81046866 44891653 1000000000000000000 527617762 177193351 67195006 221794986 1000000000000000000 578984520 541937764 307417048 198599177 1000000000000000000 129361472 41444505 36033077 12739240 1000000000000000000 174134634 54939632 100198219 71332992 1000000000000000000 909699282 750654385 686432036 176362419 1000000000000000000 784703123 780473468 406490793 778723306 1000000000000000000 905135659 311929405 186242635 35710767 1000000000000000000 168935981 150827735 90434307 147641036 1000000000000000000 661724684 586275206 171604174 576582279 1000000000000000000 931015107 196819466 730432854 288815997 1000000000000000000 561402253 381507839 250197561 256361811 1000000000000000000 890728824 153088180 862496063 603612000 1000000000000000000 176248810 78030193 102408184 135506575 1000000000000000000 640885456 503180390 619229531 523621878 1000000000000000000 817339043 696699816 295184690 694470435 1000000000000000000 777319928 341713109 387264087 80129686 1000000000000000000 368344594 2309149 242278217 300843786 1000000000000000000 907249627 305118901 853623205 281318846 1000000000000000000 161443781 84524156 119339775 161319321 1000000000000000000 296385653 55116792 278501063 221543682 1000000000000000000 229381718 223284213 97534792 103218258 1000000000000000000 97347581 10877520 43056212 24419976 1000000000000000000 194422503 89488815 35561087 132695840 1000000000000000000 511733528 195964231 240733998 421134972 1000000000000000000 611472393 36787658 496750402 422258315 1000000000000000000 315643869 102200119 29208353 304347091 1000000000000000000 268949627 48241694 21706685 63340479 1000000000000000000 84759915 31760433 267996 25400255 1000000000000000000 9738415 7107372 2293898 7603939 1000000000000000000 175354492 61779463 34451877 55229129 1000000000000000000 982157827 623721105 398520085 36435173 1000000000000000000 337249594 323327130 46651024 235236281 1000000000000000000 190455458 64750541 10361419 125999104 1000000000000000000 721937118 617526335 130323784 138909568 1000000000000000000 967545020 5655020 599444869 81625245 1000000000000000000 659548858 448475564 222736139 618587422 1000000000000000000 868188966 209948975 177085357 805082910 1000000000000000000 22137759 1741048 7472854 19155521 1000000000000000000 973884698 538282549 762091850 415534650 1000000000000000000 60773732 27923312 30980363 17569141 1000000000000000000 910490518 287982385 644362874 590022763 1000000000000000000 93364739 45507760 31513359 70254806 1000000000000000000 142899365 84389713 27288594 83712898 1000000000000000000 530733464 166626536 377102807 426871452 1000000000000000000 304045849 178328103 274452702 171652258 1000000000000000000 910386545 404299379 653503557 735121600 1000000000000000000 857005874 182391245 610731598 846979215 1000000000000000000 816984980 681695431 367856786 549678900 1000000000000000000 388664289 27888131 286742823 147962940 1000000000000000000 433816168 420809364 103829238 312247871 1000000000000000000 945523608 720608765 681196077 696877458 1000000000000000000 305165872 205081057 97211358 5256074 1000000000000000000 441176460 154226417 162860319 298182014 1000000000000000000 147856199 141965198 138318951 142091660 1000000000000000000 842564428 749290701 665056769 417619969 1000000000000000000 423831080 71275990 173476029 233517131 1000000000000000000 921092664 547251225 689737839 373392434 1000000000000000000 838351884 630544732 458584574 4492173 1000000000000000000 714124199 358299768 151456063 289310884 1000000000000000000 755879479 436069857 452811639 528047346 1000000000000000000 72118914 63140330 65991903 52087780 1000000000000000000 745680714 90053376 146092910 701126221 1000000000000000000 253787549 189689632 196727431 242690122 1000000000000000000 838207236 702033292 489115686 115618921 1000000000000000000 857763466 138683885 123342414 44389349 1000000000000000000 754507259 387237291 2750602 413714251 1000000000000000000 959420931 250933669 574044280 164253833 1000000000000000000 37886203 21733813 22967491 36944610 1000000000000000000 496373961 397856478 235444723 413378060 1000000000000000000 839029079 355481516 588544445 528857705 1000000000000000000 107777793 45270504 4925111 42113638 1000000000000000000 34173874 28531915 24453721 5034416 1000000000000000000 377412034 117314138 139512138 62820424 1000000000000000000 342712560 144861304 219630130 178366644 1000000000000000000 493384598 18384415 74501147 83011588 1000000000000000000 423128016 360773392 124165539 198303819 1000000000000000000 926700201 908525286 916381293 652295767 1000000000000000000 559599431 262239491 81329634 530169132 1000000000000000000 511549934 185354466 52829822 447134007 1000000000000000000 792993963 302868046 397980402 172464239 1000000000000000000 761381622 223703228 65646677 606835105 1000000000000000000 15678989 959527 8043460 970039 1000000000000000000 822381246 484926700 675975395 451148521 1000000000000000000 24552596 6094050 2249023 1866423 1000000000000000000 922326969 312500159 179342512 663484788 1000000000000000000 628388863 25102385 298137768 178797177 1000000000000000000 657295980 323564597 390143754 225561511 1000000000000000000 721828713 133369803 9862850 493384971 1000000000000000000 239958475 83628308 156308455 31153963 1000000000000000000 967752144 594548126 76481987 19572796 1000000000000000000 769609444 732259936 517708518 600821040 1000000000000000000 170587460 22101475 99684961 65036946 1000000000000000000 417148026 328908707 399057288 278771553 1000000000000000000 983875647 71649043 840713070 103358105 1000000000000000000 119141683 38681706 114233729 99390215 1000000000000000000 829396469 710507853 255131277 528645584 1000000000000000000 126821628 7091851 102920671 17807987 1000000000000000000 334494530 270290712 324282187 86124150 1000000000000000000 460620142 365964674 422945975 149469062 1000000000000000000 656185461 137418091 484749107 232455848 1000000000000000000 730231291 395653315 277915352 73302367 1000000000000000000 254480557 133477421 1578023 193959449 1000000000000000000 425708403 308479529 74344188 376603345 1000000000000000000 455584808 362219402 130927758 11040450 1000000000000000000 312327954 235373325 187687264 28161058 1000000000000000000 824499364 324624233 493837145 512566392 1000000000000000000 866867096 595009403 6356243 508082055 1000000000000000000 239085401 172101855 63253593 39127217 1000000000000000000 214209008 51590535 129630494 202898071 1000000000000000000 316991619 313038567 310690160 129470552 1000000000000000000 692295536 222930358 594984916 258179184 1000000000000000000 235407690 177658887 226987690 231863602 1000000000000000000 76980166 22203908 22064160 64551569 1000000000000000000 522743047 482082460 408928986 448398114 1000000000000000000 782836337 365510849 679134389 530979270 1000000000000000000 723626073 233855129 195314616 447476283 1000000000000000000 465721804 233077522 406029402 183714254 1000000000000000000 495190626 174535504 368833421 272781387 1000000000000000000 352179095 34840046 333798096 56141620 1000000000000000000 31058576 24456088 6476200 349444 1000000000000000000 380530162 364894405 139549109 350858539 1000000000000000000 939152749 818176612 123675610 315309163 1000000000000000000 745152756 124766978 28254913 539881308 1000000000000000000 841057777 291553363 2972326 300478512 1000000000000000000 630955569 82088573 50821835 314697987 1000000000000000000 312262839 61070565 193138303 225977803 1000000000000000000 324893369 70443708 132531751 301650783 1000000000000000000 539637536 493711396 151420823 86944720 1000000000000000000 414988972 372113315 2972570 140063052 1000000000000000000 547253448 371632849 204742999 517625733 1000000000000000000 649232177 550024402 440344750 401604873 1000000000000000000 86275045 10488370 50519864 81780877 1000000000000000000 342250700 251913406 103879924 195898220 1000000000000000000 413043323 307574178 216412108 108120215 1000000000000000000 727464383 437628342 698920212 697008159 1000000000000000000 351238205 52125737 125790105 349531086 1000000000000000000 208762519 78502386 45433952 185259038 1000000000000000000 240359903 194410206 17926380 15861542 1000000000000000000 890193751 668488291 75999520 213183189 1000000000000000000 220026630 67175303 44053621 162224690 1000000000000000000 98278461 47405910 31495367 92882965 1000000000000000000 284462773 114234638 67851703 94535425 1000000000000000000 45132573 319990 5012119 30327456 1000000000000000000 858330571 597592241 163675256 785012230 1000000000000000000 270447177 180421332 109546160 171843232 1000000000000000000 185256116 38509248 14997461 36502262 1000000000000000000 959446898 493613554 526562405 845488567 1000000000000000000 188782459 47342422 6176305 167856604 1000000000000000000 531828780 6463850 348352830 39148972 1000000000000000000 461825412 409871542 398168325 233998874 1000000000000000000 46767930 43424762 37212531 10447957 1000000000000000000 892846786 823412789 30650380 549449949 1000000000000000000 286296496 228836757 58684065 138559087 1000000000000000000 646516103 517676920 599852704 16030931 1000000000000000000 82207346 19708678 7494378 65649779 1000000000000000000 53894138 32595122 16312844 51065489 1000000000000000000 174037504 44426009 109926829 118629930 1000000000000000000 865203915 802588356 835810283 415609863 1000000000000000000 779231841 420314021 651694132 742365505 1000000000000000000 273384548 130928976 183358099 7941624 1000000000000000000 158899047 155831168 79601025 7174659 1000000000000000000 283055976 142988133 199720952 79621436 1000000000000000000 892970924 300115184 624497422 663518879 1000000000000000000 876952665 549487029 282690558 221944114 1000000000000000000 996009012 115473004 936580633 966848640 1000000000000000000 274670112 8890650 42632074 44909519 1000000000000000000 502857368 302374079 435379027 206281389 1000000000000000000 375080790 318452828 30160675 214161202 1000000000000000000 799678123 767032115 457948566 639154471 1000000000000000000 564830321 194812673 508188201 535154440 1000000000000000000 877342639 423448972 807069890 870843494 1000000000000000000 347293265 297625244 126047140 225086958 1000000000000000000 940406263 283563316 496643673 378682774 1000000000000000000 419608588 299091528 336108068 194728839 1000000000000000000 720320314 2190764 26196903 222127276 1000000000000000000 173418705 165830963 128029350 30079468 1000000000000000000 836391039 65351804 63824957 688209418 1000000000000000000 142545772 116473822 86778141 47090683 1000000000000000000 18950612 16716633 7174454 6747781 1000000000000000000 853910674 534660218 194065740 279321902 1000000000000000000 821005455 544071234 641987150 27733316 1000000000000000000 696781340 354941338 20179824 263985454 1000000000000000000 391903702 191135399 13507298 250820450 1000000000000000000 612465101 568203678 72460301 9608138 1000000000000000000 422513945 4828793 289190441 133885012 1000000000000000000 15574067 6064908 7521346 9161531 1000000000000000000 265587641 211744590 98172709 131959656 1000000000000000000 631439103 31881261 460597538 34862643 1000000000000000000 312237461 187895793 122988147 70952265 1000000000000000000 626068160 185801455 202240576 486292264 1000000000000000000 467765196 386685674 138888051 283445284 1000000000000000000 909135486 171229184 260367088 78472858 1000000000000000000 933805385 714232902 661387760 222939801 1000000000000000000 131122812 16875636 1296346 15478915 1000000000000000000 104665669 99965171 8772112 43498826 1000000000000000000 432937862 240529690 4768254 155096859 1000000000000000000 998349817 865717621 450544703 75739758 1000000000000000000 44106785 31600614 496429 25396277 1000000000000000000 801545908 785735853 254414830 503022708 1000000000000000000 229036477 31098536 125005943 126577352 1000000000000000000 858279986 750203101 813943292 99204137 1000000000000000000 816853974 761992978 362628355 391357956 1000000000000000000 280686022 170568073 5799018 65470630 1000000000000000000 75000976 51219718 48189691 46223424 1000000000000000000 430160277 136159314 82692980 117425905 1000000000000000000 361800968 290994147 166726693 22797122 1000000000000000000 155667966 56163244 122952793 39618628 1000000000000000000 351208287 167328705 307599914 249980452 1000000000000000000 512202478 343554443 259122371 376124671 1000000000000000000 911906525 642536117 79372432 256370252 1000000000000000000 557251449 459681071 367226393 163969144 1000000000000000000 412198492 371990760 316951923 57897796 1000000000000000000 33106194 24536631 9385579 31622434 1000000000000000000 251160246 91396890 145118398 157884555 1000000000000000000 407469605 13856655 381633832 4781863 1000000000000000000 567474956 154388450 344934610 446686381 1000000000000000000 643484467 80489847 516632738 175381118 1000000000000000000 396269240 380002560 27240165 114671980 1000000000000000000 423600627 366517452 80770080 352272487 1000000000000000000 760399621 461790558 394240034 166112673 1000000000000000000 263913066 260676322 71306410 21677644 1000000000000000000 874248153 860244490 115285525 381354815 1000000000000000000 873782535 381270460 868622836 225534291 1000000000000000000 51480542 28388136 6398458 30610788 1000000000000000000 232514694 3495462 92115389 102734080 1000000000000000000 112476947 46564007 10293352 48492715 1000000000000000000 507817537 346433569 379230527 175308792 1000000000000000000 762804320 421580086 164655887 551246478 1000000000000000000 17792921 1753765 2855536 17740664 1000000000000000000 465859627 130461576 34889485 286416162 1000000000000000000 501883927 406635181 367460634 89475916 1000000000000000000 620106753 140593418 408005709 222879493 1000000000000000000 811524245 185713624 710709875 621684100 1000000000000000000 721914508 682033922 176756107 316439460 1000000000000000000 22907899 15832267 8336120 19019967 1000000000000000000 247644321 20848703 3176497 12531286 1000000000000000000 649949624 186803692 222512328 343170907 1000000000000000000 274190300 163127286 155920734 23558104 1000000000000000000 883288711 85285062 744659172 59029406 1000000000000000000 373163952 137640840 30225716 357759039 1000000000000000000 241104315 5970612 120066791 13798815 1000000000000000000 316401338 84780953 263701474 269291074 1000000000000000000 626285193 199345873 80712463 229434888 1000000000000000000 130425962 91235853 100139388 54623312 1000000000000000000 144825343 108587999 69126639 22887504 1000000000000000000 939332212 290043270 805500988 770549305 1000000000000000000 879079453 21710379 580765415 82506011 1000000000000000000 780037956 490642301 146009042 310686512 1000000000000000000 307653605 130335573 22892383 180077246 1000000000000000000 621576692 438252366 84810030 259236534 1000000000000000000 751488004 309030442 42233222 418307930 1000000000000000000 319517205 50783671 66786189 146429024 1000000000000000000 172115084 4814621 134993582 118318623 1000000000000000000 720520018 620778051 372577422 348231211 1000000000000000000 106728814 105400851 34817006 21673360 1000000000000000000 48726230 26736667 7621155 17998302 1000000000000000000 571355561 571198664 203095971 285594307 1000000000000000000 560598200 314137183 97691693 207657186 1000000000000000000 105486616 95692761 100676343 68126814 1000000000000000000 178063197 156263768 161369302 130666018 1000000000000000000 305601158 200432065 130363034 125389880 1000000000000000000 468704317 113209660 252040305 174397869 1000000000000000000 217694104 80783356 160924132 198414399 1000000000000000000 381418149 179469660 136796075 285507668 1000000000000000000 583822244 79380769 493002 238306546 1000000000000000000 284346338 267235239 195450314 34693631 1000000000000000000 381905901 13471569 136110234 249853447 1000000000000000000 334540311 126580704 225320373 329918827 1000000000000000000 47203837 4195757 26467693 36501836 1000000000000000000 706735881 573854434 531799964 468529054 1000000000000000000 31189722 12676487 26636296 29846757 1000000000000000000 493138528 470094206 80487346 218947821 1000000000000000000 701562331 18513200 130490595 683109631 1000000000000000000 949501384 43223562 439400728 166242151 1000000000000000000 497873857 159370313 54809934 114762112 1000000000000000000 493474374 359122364 419834748 99354917 1000000000000000000 312223255 33186661 5253161 28286581 1000000000000000000 282659201 17509718 5684133 276007438 1000000000000000000 878993822 383462546 205175112 163393220 1000000000000000000 975737603 258600353 305415705 521271833 1000000000000000000 217086748 95999757 127825165 16914353 1000000000000000000 243649530 208712703 201686845 108964824 1000000000000000000 142558390 36484996 36423467 459172 1000000000000000000 690569344 386406613 316491484 247693974 1000000000000000000 483651945 458200898 446845908 366657657 1000000000000000000 927174215 244572699 552714213 684094073 1000000000000000000 441812444 171757044 77363316 38171234 1000000000000000000 155140482 52856653 69065539 46832679 1000000000000000000 384209751 94330242 214378631 56469348 1000000000000000000 332293293 201204323 293697067 327760589 1000000000000000000 777765940 502687408 266937703 755406626 1000000000000000000 557129550 319787757 482715698 486273474 1000000000000000000 220943889 69540207 196176654 163929209 1000000000000000000 779194014 46287607 579767806 30525706 1000000000000000000 178922406 107882627 124560208 137931760 1000000000000000000 15009859 5424392 14545442 11568435 1000000000000000000 508695944 404778277 76743594 65288757 1000000000000000000 980580604 546639523 355667604 196376557 1000000000000000000 45365660 11525727 27355090 34118006 1000000000000000000 80286747 40672764 60703489 75864344 1000000000000000000 872259104 80376847 200214761 64792753 1000000000000000000 600453281 177837700 60526823 233421401 1000000000000000000 960353738 182969166 530354564 414424263 1000000000000000000 559093834 343378708 309458977 493090751 1000000000000000000 500531223 332243052 181368477 256850820 1000000000000000000 585151454 162411055 437139811 21374784 1000000000000000000 921742737 586976497 200871121 900747859 1000000000000000000 716113006 425339672 109004849 229068617 1000000000000000000 46348127 26545784 40959476 24847498 1000000000000000000 548147302 310242770 364535568 393655560 1000000000000000000 130105808 81588753 125709439 67867847 1000000000000000000 344888363 220496630 198406121 192095747 1000000000000000000 152829374 24029381 9182863 111643231 1000000000000000000 178327863 140244339 16698968 118625167 1000000000000000000 949496398 831844610 77472978 840946818 1000000000000000000 591877054 559817479 364581758 52865693 1000000000000000000 279305281 42321896 252598308 157836021 1000000000000000000 437426408 320895235 205198541 93095298 1000000000000000000 936693402 65742932 92387913 649777156 1000000000000000000 19165891 14027992 18637803 7925250 1000000000000000000 575496552 198469125 554268828 238595525 1000000000000000000 559875527 289817135 343186165 369788868 1000000000000000000 88535536 31209131 50178139 11938347 1000000000000000000 399896703 82170505 364915487 323873197 1000000000000000000 508240183 410747799 136741177 259331104 1000000000000000000 561920960 487199767 118292259 295580599 1000000000000000000 466081654 230510835 443874935 336589013 1000000000000000000 250767467 237367008 44099721 52583996 1000000000000000000 421369879 250596727 360043913 124712122 1000000000000000000 132260330 69480174 121617537 24691897 1000000000000000000 646121041 528479148 46447143 593548482 1000000000000000000 678682043 642001586 273261142 509519648 1000000000000000000 22062572 20489662 21192295 8945094 1000000000000000000 789004342 782276531 176070184 247616192 1000000000000000000 590707245 458242418 424907047 104314729 1000000000000000000 294691236 249449106 128038099 260842173 1000000000000000000 23108265 17891426 18363978 414042 1000000000000000000 873673259 246974124 171243593 713737822 1000000000000000000 808681641 736781476 557346948 196435678 1000000000000000000 996768813 975192850 439319304 925364491 1000000000000000000 562777654 306233700 351993025 226894112 1000000000000000000 903040439 438460149 115975480 846402353 1000000000000000000 802498335 48101289 733776609 726212901 1000000000000000000 703078743 296538465 508640190 92798285 1000000000000000000 786562449 256324193 297254218 186090604 1000000000000000000 963155858 820321133 277412040 452473162 1000000000000000000 47431726 21518054 26786167 12288074 1000000000000000000 10353767 8060926 6853457 3889347 1000000000000000000 703221454 32382421 390538082 252897584 1000000000000000000 748532611 303693561 130163795 9644659 1000000000000000000 105515060 25374157 83365815 70144659 1000000000000000000 364878925 283387057 178548503 364835194 1000000000000000000 561370394 112766805 538109451 186163696 1000000000000000000 115804551 77945881 25451578 65648700 1000000000000000000 86267092 81891734 82488591 32992216 1000000000000000000 431047594 288210727 44442234 411151331 1000000000000000000 982865394 171478484 658274966 356534776 1000000000000000000 894352974 773251437 650425453 704854873 1000000000000000000 656462497 355474759 238248182 624415384 1000000000000000000 131998181 90178648 45742345 70452225 1000000000000000000 77965944 21042059 22678494 50951838 1000000000000000000 44912006 37524672 13380538 11167905 1000000000000000000 541087335 397968355 157746922 151619387 1000000000000000000 635755651 349067773 367257470 220673030 1000000000000000000 877927253 379374228 415890899 510582082 1000000000000000000 829024727 781524954 105648585 78584235 1000000000000000000 936480704 312385803 780629186 213969313 1000000000000000000 258094030 66938497 221483447 178330714 1000000000000000000 817323208 412296012 135364298 326596168 1000000000000000000 309697220 290934902 148392862 52563094 1000000000000000000 625531512 222827611 615923855 116583385 1000000000000000000 931839192 428596076 407459547 634382890 1000000000000000000 533798722 121490004 18577044 152015078 1000000000000000000 84604833 20505580 62716158 26079430 1000000000000000000 478195929 308028830 478098244 234290222 1000000000000000000 293677972 173666089 46815787 76485819 1000000000000000000 142062186 19839809 26590811 2025048 1000000000000000000 126249532 40558312 1558612 106929714 1000000000000000000 143985218 125856210 7630167 64453307 1000000000000000000 15686749 5180188 14207151 5659380 1000000000000000000 515895910 127813988 150959758 411976847 1000000000000000000 991639066 797225741 682273303 649779381 1000000000000000000 51626396 37387881 38836513 11300969 1000000000000000000 707219362 688106655 44417654 410808863 1000000000000000000 441095316 146114549 190332926 417552184 1000000000000000000 443013896 349035876 196164412 120989046 1000000000000000000 51956283 24253428 11856538 28120613 1000000000000000000 610251519 420158178 163272241 72396574 1000000000000000000 821871091 791512991 164011132 159573371 1000000000000000000 513063771 73799440 332845941 417385264 1000000000000000000 357791638 182689612 229702723 103095054 1000000000000000000 261773149 84068415 158145299 43672182 1000000000000000000 810209096 173881140 366216382 633082588 1000000000000000000 164241308 3837520 158611916 83725169 1000000000000000000 344919487 167086317 66318633 326146243 1000000000000000000 377326773 17050788 188673366 327473188 1000000000000000000 366055769 163478467 16387194 783962 1000000000000000000 705156615 221431701 631857942 523425778 1000000000000000000 180109049 111187643 26366235 178630039 1000000000000000000 334428064 168498495 220814228 151687084 1000000000000000000 812659740 76440042 718156147 544429248 1000000000000000000 361704660 48153200 42544362 160407223 1000000000000000000 373312958 262721452 288553343 158715000 1000000000000000000 450920879 383937421 300011331 430971902 1000000000000000000 672392630 397735208 255892856 75345761 1000000000000000000 851392003 725097826 104030493 557054265 1000000000000000000 752774049 315273421 744195575 307573234 1000000000000000000 944131710 523253336 212685998 490288744 1000000000000000000 42215679 19285125 23498388 18695590 1000000000000000000 956100549 332105250 656119816 633342247 1000000000000000000 939811942 701537279 802051072 339852789 1000000000000000000 356221081 115712207 139609128 126766812 1000000000000000000 721058023 244281303 283027912 217937102 1000000000000000000 906506731 473754919 688242293 408971586 1000000000000000000 827320402 156349534 167686313 239761309 1000000000000000000 558613002 350867347 139215300 557260153 1000000000000000000 981966202 652598846 22572385 939958945 1000000000000000000 93451230 6784464 32645067 27276101 1000000000000000000 907486150 379191494 197953888 294276977 1000000000000000000 592556528 198900994 307958852 76599080 1000000000000000000 374986470 262667832 35630945 329430344 1000000000000000000 690140127 206057571 599734367 353808712 1000000000000000000 360280177 87835623 315058939 161437907 1000000000000000000 796978077 402821868 389159096 464728484 1000000000000000000 13640614 4421643 3301774 10012117 1000000000000000000 191231188 16436209 132072271 52127049 1000000000000000000 589599817 504697409 341456776 570199408 1000000000000000000 55758410 40074252 4731086 3179994 1000000000000000000 354228991 27685281 253600348 27886024 1000000000000000000 589655759 25346548 534511465 99735982 1000000000000000000 320988009 64741243 39641770 65038990 1000000000000000000 297895484 141171813 100324634 141959490 1000000000000000000 226828862 70708816 135325988 209232337 1000000000000000000 69389789 44594795 26196293 47967658 1000000000000000000 19163123 6855134 14310802 15813944 1000000000000000000 237072089 138084204 32158600 175540035 1000000000000000000 554067899 196286014 414516282 475664575 1000000000000000000 526026396 323202877 80669968 67482838 1000000000000000000 753095217 635392199 710231700 286474435 1000000000000000000 734044502 687184134 461000556 408194201 1000000000000000000 241743125 45855162 91948421 233540650 1000000000000000000 809920278 502975368 65259530 379752538 1000000000000000000 378123513 86004330 82980104 62614227 1000000000000000000 435386165 420550314 4229044 12079974 1000000000000000000 542097609 89630720 350647378 241941244 1000000000000000000 792886293 78440060 65353085 543245309 1000000000000000000 111045927 101621059 13232953 30406780 1000000000000000000 788710060 470762701 236076051 661056295 1000000000000000000 7502704 1654492 3716488 812163 1000000000000000000 387031423 79066878 63429731 182658748 1000000000000000000 24083172 18349387 21469800 20812694 1000000000000000000 68801698 38738147 4829289 17252790 1000000000000000000 197321239 169207715 46597675 85104955 1000000000000000000 964333424 196354327 842409115 18624198 1000000000000000000 425753544 257246489 391801896 18127486 1000000000000000000 292017530 133242703 79109793 160211960 1000000000000000000 672781584 451688649 239394090 188451469 1000000000000000000 27567517 4910474 1592957 12373088 1000000000000000000 932128086 782894753 475751158 546839454 1000000000000000000 370088160 56253027 140265818 260324699 1000000000000000000 116445810 103723925 46265869 106920020 1000000000000000000 82784432 76138786 65241510 51573702 1000000000000000000 604865637 488378800 533493032 595210348 1000000000000000000 858921712 705232919 373283084 484604836 1000000000000000000 418602569 128733086 249758341 289220349 1000000000000000000 405100114 29059498 306908423 231376545 1000000000000000000 654333414 523280546 329859138 469033938 1000000000000000000 89730931 35949718 81125493 28592196 1000000000000000000 131192371 34640047 34357191 28073624 1000000000000000000 259171807 99118852 156615801 82130428 1000000000000000000 191883376 17278535 75385371 184885621 1000000000000000000 580867016 326312471 565636953 152986840 1000000000000000000 433147199 391747666 307412734 213248531 1000000000000000000 293508989 255398372 77881936 281815549 1000000000000000000 219543930 48523663 194349894 7328024 1000000000000000000 919254439 836301201 416461814 312360757 1000000000000000000 408688165 70420323 228546848 268653502 1000000000000000000 734764996 530279771 108238424 364781517 1000000000000000000 115883064 101149155 24805246 77562312 1000000000000000000 186498921 126988374 93536078 116977167 1000000000000000000 184877153 106885642 17663607 131055272 1000000000000000000 108174518 79451661 104577563 90887649 1000000000000000000 962598180 339214014 402622536 939461286 1000000000000000000 743745651 430323912 460003363 36996240 1000000000000000000 288056539 247295923 33722511 45014475 1000000000000000000 474679213 406738844 244081432 197426055 1000000000000000000 769915374 109411324 727869723 200614567 1000000000000000000 583716820 454913312 369395194 21058324 1000000000000000000 93986473 12725735 3963207 56898154 1000000000000000000 88230500 85070670 39054776 49508689 1000000000000000000 554390151 269247251 290492950 33290216 1000000000000000000 722323928 287091103 533299073 325544606 1000000000000000000 946431220 182582046 681600443 109703819 1000000000000000000 290959275 279466382 284781994 47545168 1000000000000000000 256695868 251264789 88949825 167339998 1000000000000000000 501910372 19314993 231156267 396216330 1000000000000000000 740012874 168750283 618204434 605916072 1000000000000000000 111591357 22217122 80482671 4244472 1000000000000000000 258043927 205307399 213952016 3835171 1000000000000000000 995435886 381976960 337467466 156541359 1000000000000000000 886743568 289425829 864001036 873135177 1000000000000000000 259727579 49454095 87027161 174639411 1000000000000000000 211428181 54963297 89230415 94350221 1000000000000000000 165995550 154436042 46848991 53546478 1000000000000000000 932419625 670346418 186359605 316943843 1000000000000000000 261255855 255218746 98899576 245945054 1000000000000000000 900892630 130425511 737007900 417272408 1000000000000000000 972686955 89075861 788441067 551980118 1000000000000000000 970163625 414546227 812650970 272046284 1000000000000000000 569365770 520571072 322638409 148640968 1000000000000000000 722265372 697176179 15502000 638302994 1000000000000000000 308257784 155737318 53053163 10752918 1000000000000000000 24914564 4812400 20507150 39305 1000000000000000000 846218003 529618473 462316522 31702840 1000000000000000000 967669008 939989001 133707849 381624403 1000000000000000000 468788776 322487982 98907188 116152907 1000000000000000000 814803775 91476851 516234740 4495500 1000000000000000000 954547831 873612058 235029712 850260431 1000000000000000000 994396395 76614379 639937273 5088752 1000000000000000000 357683128 76034649 223127256 265561261 1000000000000000000 528080596 242636587 455453218 70105658 1000000000000000000 297247312 1999578 251231707 110425753 1000000000000000000 348976538 163148117 21342201 309533843 1000000000000000000 928426001 119727584 910880736 714406727 1000000000000000000 876045778 490938406 832484172 287847074 1000000000000000000 531784002 91545590 34882302 224365333 1000000000000000000 724211466 305317059 227823936 71360828 1000000000000000000 333194933 159658944 55310210 196706419 1000000000000000000 629578421 521703208 380032039 368156956 1000000000000000000 743225063 471768774 216940294 661336566 1000000000000000000 578137974 121240188 104646608 191993339 1000000000000000000 623466436 576800739 160495175 603620383 1000000000000000000 676310970 11928874 675158390 5352583 1000000000000000000 185567879 162622031 38345013 167916065 1000000000000000000 618028564 111905462 514678496 35654484 1000000000000000000 321263939 278778633 70435999 233197247 1000000000000000000 752941664 395584607 442866161 116748045 1000000000000000000 558121897 428128800 279076973 386682822 1000000000000000000 418384385 158353851 172347806 339873865 1000000000000000000 5563686 1299884 4855975 2144129 1000000000000000000 119091859 93856438 17436795 65652489 1000000000000000000 314836743 208130124 54059637 230255847 1000000000000000000 603274715 237742699 343848406 578865044 1000000000000000000 128013009 81686356 104216648 45123939 1000000000000000000 840895026 792184400 651126785 101463497 1000000000000000000 930645714 537273263 621115778 782282303 1000000000000000000 317262137 275523569 41924014 311427798 1000000000000000000 781580821 209773119 753580214 255110101 1000000000000000000 269900329 107116122 76591790 49872549 1000000000000000000 128333052 69706312 17838535 73387518 1000000000000000000 137081425 90876173 71074244 4567847 1000000000000000000 872664319 651091438 421979644 349895947 1000000000000000000 151033997 85410593 9954770 88382962 1000000000000000000 525578358 63515878 415541907 507208247 1000000000000000000 184626882 31859081 48676904 165104651 1000000000000000000 741768534 448284128 11086137 387912815 1000000000000000000 445089403 179746089 154302064 149240207 1000000000000000000 527295347 15961920 384226879 224287340 1000000000000000000 627597032 324450398 221248404 188977527 1000000000000000000 740626447 424490066 78247066 12668076 1000000000000000000 200537078 145029327 185836812 78064609 1000000000000000000 353377184 228159939 50268808 3761232 1000000000000000000 859688289 227334532 259646279 819421063 1000000000000000000 101596242 44118307 90325606 8174378 1000000000000000000 185308397 52327602 81981987 114609813 1000000000000000000 342737023 269414005 170569445 133778641 1000000000000000000 647549171 473190601 445535036 311665567 1000000000000000000 818073491 136150299 578069466 767968371 1000000000000000000 887074665 496586099 616612759 268608509 1000000000000000000 572624343 226582812 482404326 181219746 1000000000000000000 973840262 579308599 82168022 617270072 1000000000000000000 612259785 327455346 219118497 37549130 1000000000000000000 696307359 56995634 545742296 50828492 1000000000000000000 129053638 70979062 29631922 104692581 1000000000000000000 919477217 186874312 559404058 218271928 1000000000000000000 749999190 51939312 609488938 632928234 1000000000000000000 670405850 16312367 443274486 604412666 1000000000000000000 335315859 263680430 320175169 293803342 1000000000000000000 51278897 29398892 51081518 46525142 1000000000000000000 444561156 443873667 354899882 384562775 1000000000000000000 355311450 162521847 255337534 117351882 1000000000000000000 66943123 34982584 29692252 52972363 1000000000000000000 109995625 92776717 99602712 27774583 1000000000000000000 494207182 129737607 4904208 20259907 1000000000000000000 968189472 601410916 363907090 122810447 1000000000000000000 760789727 79534817 547395977 688022589 1000000000000000000 935752787 927765820 620475560 761234900 1000000000000000000 739743464 95970274 163427833 642522408 1000000000000000000 761825110 194461320 593341451 167254562 1000000000000000000 939323309 310053316 85592978 635008375 1000000000000000000 423324090 156506324 355479782 198056005 1000000000000000000 439018515 384969806 143954458 263407206 1000000000000000000 283745555 280535978 90756635 78370393 1000000000000000000 332192991 164926142 179366387 27199109 1000000000000000000 825670888 248494574 327645655 687924360 1000000000000000000 992519650 545519176 890502221 26161518 1000000000000000000 467514265 236592710 193990430 366724248 1000000000000000000 841745187 84903230 748978205 624906372 1000000000000000000 379733124 67903653 299622590 200750782 1000000000000000000 421967341 307530179 386452103 268699774 1000000000000000000 669078478 451525600 370095833 582504568 1000000000000000000 978819565 207641071 357719624 561247026 1000000000000000000 389000402 89267677 77407015 288816789 1000000000000000000 180906323 161811966 167255702 92617200 1000000000000000000 20322116 3728119 9701000 2801772 1000000000000000000 825653879 95923245 135259469 212310691 1000000000000000000 799709144 5520101 439402861 415742056 1000000000000000000 913018524 194182378 18121209 720273822 1000000000000000000 629130589 440601991 306380088 434544060 1000000000000000000 212119249 65786233 70883425 174687094 1000000000000000000 911031727 803269197 832350453 108151275 1000000000000000000 450908141 325922462 249236347 82207889 1000000000000000000 880908915 805007421 243253310 657984278 1000000000000000000 435621081 62299003 283753610 110581332 1000000000000000000 454664201 252481323 167183710 215815632 1000000000000000000 317294898 54453262 232221400 253479346 1000000000000000000 771362951 734639090 768664036 264887229 1000000000000000000 546641466 64505291 115153573 169892647 1000000000000000000 513438706 151540677 460142946 468116193 1000000000000000000 497680332 142270746 435024357 16866464 1000000000000000000 791996939 704646689 538989852 593217302 1000000000000000000 400492020 50944889 380097444 126840859 1000000000000000000 601644406 465388937 493402415 364604285 1000000000000000000 645769128 499213258 141166256 75417141 1000000000000000000 777221068 224208206 355843990 613063836 1000000000000000000 260488111 169580490 95731706 162017580 1000000000000000000 4635259 4089718 2282408 1479607 1000000000000000000 998884396 118598541 676595262 704883160 1000000000000000000 230909495 71216263 215037976 101726744 1000000000000000000 892535704 700088405 4506369 460416124 1000000000000000000 987724348 560744501 161464175 241167779 1000000000000000000 35549412 21680342 10719630 32134702 1000000000000000000 923979785 698880083 749956107 644572359 1000000000000000000 994320141 674765868 161082013 437021292 1000000000000000000 142474254 120200557 118645413 27628123 1000000000000000000 694194949 373095214 73144359 382381471 1000000000000000000 473012844 187838157 205881968 455839475 1000000000000000000 279854632 10710224 152787000 154294436 1000000000000000000 901488635 813357924 546722467 634089936 1000000000000000000 611376284 60490326 112921513 193934122 1000000000000000000 363814064 114802695 232430910 31133391 1000000000000000000 821960828 554289972 137528757 161581799 1000000000000000000 63603004 31406869 15731785 40465802 1000000000000000000 317804418 236631289 43125404 212723220 1000000000000000000 746846915 282062105 106524651 81971938 1000000000000000000 402420147 118323699 343073640 232110924 1000000000000000000 844769760 461989710 4516068 808380269 1000000000000000000 936150853 425111162 927351953 379215948 1000000000000000000 25447411 8859854 22710450 3721528 1000000000000000000 777942870 149140050 385700305 128359467 1000000000000000000 557097874 463647165 342046392 124044932 1000000000000000000 22485180 22114665 16675741 5110383 1000000000000000000 889942830 37754079 838958232 626723504 1000000000000000000 916857761 382666677 39226618 622402488 1000000000000000000 447899063 35127476 51419003 283629183 1000000000000000000 684172017 609436435 420942417 204370292 1000000000000000000 273026186 139389880 57684079 79168220 1000000000000000000 581010989 580172198 507899223 172392932 1000000000000000000 324886316 209767068 267412459 171332146 1000000000000000000 359980247 76722104 204069141 308961207 1000000000000000000 575413092 452005351 211776734 444106043 1000000000000000000 956533412 387802785 36748639 522289915 1000000000000000000 349873655 53757604 165242750 23186444 1000000000000000000 477417599 11955263 449554676 367245602 1000000000000000000 801079654 276753718 608801405 114360261 1000000000000000000 573540805 443537394 491454824 313174507 1000000000000000000 959675177 923001613 895079962 549289797 1000000000000000000 264738138 197497171 245135574 3718648 1000000000000000000 388770258 334309282 300818187 227530700 1000000000000000000 764617703 51479989 388766644 288799771 1000000000000000000 223719123 193787539 39195006 159223540 1000000000000000000 192354795 151034262 175967478 16728609 1000000000000000000 184984578 116317983 86799603 45758429 1000000000000000000 959269182 313769607 156873146 239407680 1000000000000000000 184240259 4204650 129785156 169114304 1000000000000000000 281384875 58256418 261526052 140436185 1000000000000000000 297351072 16589492 36699689 29814536 1000000000000000000 573432618 46233062 305835106 84028513 1000000000000000000 644018689 188837324 431040330 591223727 1000000000000000000 360141402 243388141 66495471 214657737 1000000000000000000 415447852 279968847 54991917 189022334 1000000000000000000 315762591 215496607 189928085 312580272 1000000000000000000 664668519 409211624 166353045 542902949 1000000000000000000 277804045 102806083 86350139 140710486 1000000000000000000 369203091 349586690 351625512 98817790 1000000000000000000 543418805 498720369 359166852 142675010 1000000000000000000 359357239 51824968 189027184 356217928 1000000000000000000 126335610 42934096 119179075 63644513 1000000000000000000 688401032 55175538 635341512 250837559 1000000000000000000 751558591 443127600 56684487 746927287 1000000000000000000 585073549 379200957 118173812 110539287 1000000000000000000 763394407 267852389 238768231 755955794 1000000000000000000 563490624 212503131 5961477 295076417 1000000000000000000 262678764 219982269 221063913 225856415 1000000000000000000 322834561 96052193 310843304 220360551 1000000000000000000 933426787 269821356 290514909 780492061 1000000000000000000 934496609 349433160 246196106 583744322 1000000000000000000 95107030 72718536 91117903 5028593 1000000000000000000 927918548 549252095 544683431 215856822 1000000000000000000 619035073 332355164 5812543 157239130 1000000000000000000 456069733 92684849 409549173 363909586 1000000000000000000 872501698 852425118 379033354 767200723 1000000000000000000 215838057 124110233 197288172 134771246 1000000000000000000 299937068 276255375 119878746 12689533 1000000000000000000 717412251 178098698 137485834 186581650 1000000000000000000 822454331 687148707 24930975 459708769 1000000000000000000 686552376 272594911 374781878 322368843 1000000000000000000 60591072 39319266 10201770 23427973 1000000000000000000 750109971 375521365 472892084 647008979 1000000000000000000 430676132 125890082 284771972 408082134 1000000000000000000 246553431 126901091 65451339 109846650 1000000000000000000 273494934 65229164 173001354 73600982 1000000000000000000 883431547 808184824 733703769 451529400 1000000000000000000 100824724 35927096 95948706 76632894 1000000000000000000 812875997 463250871 635712749 698974394 1000000000000000000 326941919 294093076 123158998 288455681 1000000000000000000 853764072 69135765 320249329 322954 1000000000000000000 648081839 203198614 354124881 376239805 1000000000000000000 569575037 332403907 459335356 240022799 1000000000000000000 751985424 21200808 339925151 567815875 1000000000000000000 695154824 91995368 587421309 249270378 1000000000000000000 447351738 84262756 340715170 207622512 1000000000000000000 762535069 673517960 44973372 343866230 1000000000000000000 691373172 160726803 645473129 599429121 1000000000000000000 456299788 231365827 242136905 2580807 1000000000000000000 844378066 455294858 613139344 252875295 1000000000000000000 390319612 382129375 168469805 174642395 1000000000000000000 40786073 36476366 26952353 32044286 1000000000000000000 817983796 203809991 368043949 47973987 1000000000000000000 47561603 17280797 8621729 34385877 1000000000000000000 164504204 127325445 108163098 135526090 1000000000000000000 119343132 61613740 25905742 47653753 1000000000000000000 140278802 26901492 139397680 139552144 1000000000000000000 492088522 333301799 349610723 195696652 1000000000000000000 271979536 31484399 17452380 163546329 1000000000000000000 9231022 7258069 8804942 6134483 1000000000000000000 368996153 298456155 368993492 247881580 1000000000000000000 4778342 2206912 1779923 3259864 1000000000000000000 667935236 522891030 6263974 194499964 1000000000000000000 273186016 163679872 121172764 174945395 1000000000000000000 532440076 47158533 56921740 57618196 1000000000000000000 779109307 449766374 442383794 87256394 1000000000000000000 699589961 507388860 57698765 597891262 1000000000000000000 287369559 94994266 259267940 125302789 1000000000000000000 495805824 326479460 340005613 162989043 1000000000000000000 684621679 654476001 683045809 202334318 1000000000000000000 696577710 412134807 280302125 683307019 1000000000000000000 623582682 432793308 87866484 441444429 1000000000000000000 788142907 323537872 679538240 676525225 1000000000000000000 395627856 196496632 9312472 76542341 1000000000000000000 816477940 289695517 709671562 192907920 1000000000000000000 819857871 557566568 274732182 317692440 1000000000000000000 49881399 46230907 24577849 985693 1000000000000000000 178790567 160183321 96193423 135996611 1000000000000000000 861249262 843139033 328822158 178643036 1000000000000000000 724918613 9214375 214805441 67298964 1000000000000000000 850659993 148979499 704431610 356340395 1000000000000000000 203338581 45770241 66802274 165487416 1000000000000000000 170639768 66388023 21983998 161543580 1000000000000000000 526618354 441878501 394663109 324735657 1000000000000000000 56996666 9202540 2165629 18656720 1000000000000000000 499953757 215056163 319533000 194127251 1000000000000000000 250355343 36174091 215866981 128651005 1000000000000000000 806577503 604697680 589847763 29892659 1000000000000000000 440718866 90184178 135039660 79009961 1000000000000000000 343343616 331196123 160642980 77419302 1000000000000000000 514154860 429363320 19716026 366056987 1000000000000000000 789519243 302706224 525437819 414693491 1000000000000000000 193794716 78124742 108684242 68036261 1000000000000000000 52221710 30799381 41194927 4605537 1000000000000000000 927195823 328472261 642613679 207011457 1000000000000000000 802919940 179860975 267246875 45802853 1000000000000000000 806449217 12743240 109436504 498131217 1000000000000000000 78549287 47856844 4233153 12547858 1000000000000000000 490845711 85115747 54765984 195014871 1000000000000000000 332294382 20478112 325358789 254491590 1000000000000000000 460942181 403166662 121764937 437357073 1000000000000000000 463857749 343618556 265326947 149993689 1000000000000000000 352467947 345820919 11591883 39662860 1000000000000000000 541199967 244047310 434258623 293549157 1000000000000000000 632335469 242598330 115969928 181643383 1000000000000000000 847731491 171242397 262608242 444199532 1000000000000000000 535606764 127296727 111479142 202924220 1000000000000000000 229945346 42941047 167080778 138442462 1000000000000000000 148645582 108799623 80526859 44186921 1000000000000000000 931716128 812400896 418083377 559302696 1000000000000000000 616867496 319489896 35818144 277479341 1000000000000000000 446314596 363536720 287923838 319209698 1000000000000000000 30296040 3861228 2464168 22300619 1000000000000000000 723881280 638451684 234050636 90414494 1000000000000000000 416704401 254391225 55225092 24083465 1000000000000000000 864368044 605934982 606274395 68609860 1000000000000000000 364445605 155483879 252573097 273961433 1000000000000000000 986741076 283548779 793172864 766521577 1000000000000000000 206445027 64159849 165011417 45646052 1000000000000000000 118720644 40567695 89429106 40481255 1000000000000000000 949486916 157514815 834215039 931450734 1000000000000000000 543977072 294074104 346747147 327281471 1000000000000000000 542730204 290693176 225060928 495006910 1000000000000000000 504258983 433368819 310065460 247364913 1000000000000000000 933223347 813741802 153908807 391127476 1000000000000000000 200584277 32062831 131882878 2649705 1000000000000000000 62026218 44147422 31408861 49607488 1000000000000000000 625610479 198172330 468674045 30695490 1000000000000000000 160692546 110222101 152695351 102798009 1000000000000000000 742886406 665957232 180390196 417007563 1000000000000000000 351046247 292460012 215870288 18099074 1000000000000000000 109432520 5589159 83411240 42335241 1000000000000000000 498044076 342735058 380289709 21949216 1000000000000000000 192235851 27789842 95156932 1691195 1000000000000000000 185831380 113080251 148285410 55464057 1000000000000000000 668024458 447508218 156398548 600503752 1000000000000000000 727392147 242705094 365381723 508583343 1000000000000000000 964663034 771781090 277318234 675797241 1000000000000000000 745019557 339403369 18203509 325602339 1000000000000000000 853711751 626716762 97404154 556812911 1000000000000000000 827787859 247878637 13804202 448543652 1000000000000000000 425427442 70239250 238540165 148952323 1000000000000000000 45451104 1258725 8975482 30403187 1000000000000000000 154356221 109124751 72629547 140751842 1000000000000000000 675118173 71571903 617112329 118474273 1000000000000000000 774662195 680670949 655722302 76318588 1000000000000000000 430334061 354887423 235192123 160056327 1000000000000000000 599769240 50823449 391221110 506062623 1000000000000000000 907057590 644760232 530767717 840808135 1000000000000000000 484216001 383447016 294050024 232319578 1000000000000000000 632467777 118541271 300234930 379511182 1000000000000000000 424480500 329315097 5504087 339515925 1000000000000000000 759930929 582769450 418990367 628647903 1000000000000000000 429574429 98317902 354626803 401994054 1000000000000000000 308586426 137399551 3517087 70143362 1000000000000000000 567377864 508682059 193572299 357880496 1000000000000000000 33678547 11967736 22496869 2862614 1000000000000000000 757729775 443225160 287379371 12988698 1000000000000000000 588349053 561429375 503161930 50810275 1000000000000000000 518422731 238948984 148813839 434200454 1000000000000000000 779844994 156041778 132391860 376928885 1000000000000000000 919017383 21853218 650965625 897402671 1000000000000000000 373270735 384245 89150173 81283094 1000000000000000000 36006732 8683540 13746849 34978142 1000000000000000000 21263497 17497870 10961385 6970312 1000000000000000000 722440472 42170610 639964481 662386062 1000000000000000000 879018466 55520503 868003089 462435825 1000000000000000000 945715484 105867367 645883248 617608391 1000000000000000000 332368095 291183539 221505367 152654990 1000000000000000000 74175554 73430273 26602240 32542583 1000000000000000000 787274546 95482038 57245462 575036916 1000000000000000000 572744767 283275453 4681929 209190736 1000000000000000000 912661369 559947813 460784068 58187521 1000000000000000000 878237935 782878898 272617110 53263516 1000000000000000000 87980353 13447787 10543787 10659862 1000000000000000000 928053571 227249668 785016563 823682175 1000000000000000000 345187981 296395850 131904769 73690588 1000000000000000000 385884262 199346966 11321774 25722313 1000000000000000000 509276118 323422609 1234136 334665402 1000000000000000000 411369463 307639409 317737301 85042584 1000000000000000000 152260491 64129745 59448261 56289082 1000000000000000000 60964165 4152695 51617438 17669377 1000000000000000000 43004483 5561574 35656103 25246745 1000000000000000000 693074979 595715345 631721413 41326476 1000000000000000000 401878767 244347764 296225445 398472477 1000000000000000000 245252616 68106806 152678310 45888156 1000000000000000000 867844103 650336306 742752747 557785893 1000000000000000000 607108977 429294988 573160092 478348863 1000000000000000000 75929432 65908849 47453163 21446386 1000000000000000000 422126621 200667308 378889254 409417299 1000000000000000000 194087208 99359654 45304663 8849115 1000000000000000000 442113802 414225559 265913490 120463034 1000000000000000000 786815559 741764426 529294743 268904424 1000000000000000000 293599360 100176727 246010361 255571342 1000000000000000000 713737276 36373452 45905276 73867588 1000000000000000000 137628704 83933550 9980887 5740470 1000000000000000000 209354082 185227877 41954853 105465759 1000000000000000000 203630993 48747676 179530144 152904736 1000000000000000000 192250112 81067835 173428080 28531280 1000000000000000000 723935380 597916395 701185324 37168194 1000000000000000000 468027515 55929458 414988387 165687168 1000000000000000000 125274584 31923036 10477165 88081656 1000000000000000000 62283696 4406099 38132781 56550229 1000000000000000000 788840572 17871011 247288455 252614576 1000000000000000000 217631898 34611243 77414076 133679232 1000000000000000000 435164956 76907657 365443688 98663191 1000000000000000000 633927931 496534755 208548245 567754681 1000000000000000000 267960667 16969580 127463078 29749562 1000000000000000000 332917412 267904744 329686370 316630545 1000000000000000000 650233329 559322556 358796027 41612468 1000000000000000000 777532303 673935417 550904279 90322588 1000000000000000000 681138124 361141152 539856309 19116652 1000000000000000000 841429558 683899983 834769477 420028884 1000000000000000000 149258207 138895150 92792071 4906381 1000000000000000000 97718594 576425 61087434 47032531 1000000000000000000 447084963 319451982 439555607 73879052 1000000000000000000 251703572 61108399 163436632 140445414 1000000000000000000 965790757 17151707 343782206 888609384 1000000000000000000 980927523 587466614 259768392 721522653 1000000000000000000 825729275 382456982 766675105 763974402 1000000000000000000 664267002 334945691 87821798 634244393 1000000000000000000 29078221 26375012 17782156 7174403 1000000000000000000 895459517 622980610 308393283 774277755 1000000000000000000 711772618 391819562 522958457 157770553 1000000000000000000 859435407 223888947 178002893 426684068 1000000000000000000 917428070 593317895 76900025 244139894 1000000000000000000 70886773 68906897 61815536 65505566 1000000000000000000 548411048 348244287 387495008 329821551 1000000000000000000 779722289 177017773 182319009 577427152 1000000000000000000 907521852 240491127 863260806 553476974 1000000000000000000 711549996 308829123 674179054 274181510 1000000000000000000 254512116 250657286 93476004 46033310 1000000000000000000 151287226 103663793 75696428 82697991 1000000000000000000 789939479 755388943 150442148 641348800 1000000000000000000 958294235 513225537 688941079 734698808 1000000000000000000 213133786 124646065 80028398 38050532 1000000000000000000 587275493 480790446 340429420 351541061 1000000000000000000 35207559 11409145 21483219 35070032 1000000000000000000 775028645 357765502 204910769 2321114 1000000000000000000 302798165 288116791 219803627 130326974 1000000000000000000 27689199 7631830 17245403 15775653 1000000000000000000 345515643 300497300 123215734 230611395 1000000000000000000 470129268 374068312 335009757 365885854 1000000000000000000 923858061 644219839 718691134 214308260 1000000000000000000 159559897 156318235 101957606 56978782 1000000000000000000 508107521 119002825 353398912 318117962 1000000000000000000 841749069 645054669 439568165 749591709 1000000000000000000 573455714 346026106 122673947 294620773 1000000000000000000 288750819 166146882 271228565 63238511 1000000000000000000 530073733 26863867 93666476 164755469 1000000000000000000 966465714 87537418 740848647 59294920 1000000000000000000 344853880 196990336 82651840 282090788 1000000000000000000 947420279 513482652 634254324 681383441 1000000000000000000 485951874 5255164 167143595 66396714 1000000000000000000 765586961 110404494 508192301 715093154 1000000000000000000 374817105 200864046 130490696 287487348 1000000000000000000 770065482 154569394 475894487 373074993 1000000000000000000 164240231 59886712 156617451 60124248 1000000000000000000 579414215 236630740 28411935 328689229 1000000000000000000 268872359 18537246 35640326 36643664 1000000000000000000 490017401 5178121 341023845 344183943 1000000000000000000 222433180 42143371 106171501 167372474 1000000000000000000 22664398 18643063 6784457 19924464 1000000000000000000 377145868 5192570 313542767 299871701 1000000000000000000 496938010 63133834 94492862 402346496 1000000000000000000 849615318 645110018 585293839 480064025 1000000000000000000 643563948 444007148 2381525 157959381 1000000000000000000 307163725 107720034 24797827 236154533 1000000000000000000 698885146 354125668 4552924 123907659 1000000000000000000 92805712 12926715 21592075 92483173 1000000000000000000 274166541 211357170 227944149 51245784 1000000000000000000 107994157 64866718 60177331 13370309 1000000000000000000 625136923 268523186 511257662 540912012 1000000000000000000 956529321 628149131 883776437 510012961 1000000000000000000 919741831 500132850 739287217 234938487 1000000000000000000 261962032 58207214 129046804 7470466 1000000000000000000 90757494 56460453 71082297 15805513 1000000000000000000 477027951 276792217 412379876 200681382 1000000000000000000 543465284 348146359 9271449 527740104 1000000000000000000 573019210 295798661 40310209 328119124 1000000000000000000 725403175 383518895 714259570 227872750 1000000000000000000 257106954 154173993 110703527 86997642 1000000000000000000 749917430 509177433 722531220 191784699 1000000000000000000 389552637 250882679 314239178 241418388 1000000000000000000 212738267 90567844 107962902 24374937 1000000000000000000 565556063 335081797 10421619 194779373 1000000000000000000 459656168 118689735 254695568 143290457 1000000000000000000 164914553 20575672 116848899 8939684 1000000000000000000 693940551 594928355 144334048 494412669 1000000000000000000 984483229 487547527 731797927 866976222 1000000000000000000 109483349 42023852 51928121 33513502 1000000000000000000 679425964 74169401 159070899 335677781 1000000000000000000 337326854 285802568 328810003 182508058 1000000000000000000 249174768 144977276 166582707 109267214 1000000000000000000 849733779 53009281 718526805 186490950 1000000000000000000 261391965 134824169 226390290 7605690 1000000000000000000 123462646 46372611 23834899 409149 1000000000000000000 476803447 392902647 87565241 313628099 1000000000000000000 81439932 21498219 37829309 24322713 1000000000000000000 763660292 355833237 399695682 162870321 1000000000000000000 43144662 33702370 8656673 5801408 1000000000000000000 92022261 7426994 33049420 49463110 1000000000000000000 879668329 134243864 425960866 654769475 1000000000000000000 682110673 195298963 384894144 406936836 1000000000000000000 422112321 407263392 311308172 46748505 1000000000000000000 63258282 28696176 8514252 8420375 1000000000000000000 381071144 197736231 260995815 119684856 1000000000000000000 456533588 344743145 415237307 113982621 1000000000000000000 279567631 64963719 230528861 53568294 1000000000000000000 860943689 696665049 798190523 702632138 1000000000000000000 524794575 9308775 232078240 496002535 1000000000000000000 449643404 343599745 195869361 357430479 1000000000000000000 82048338 12201928 4752772 63132283 1000000000000000000 803116737 279752389 138995244 62419960 1000000000000000000 966994510 237535305 94719032 676710071 1000000000000000000 689920797 403513031 663993766 561274192 1000000000000000000 79435904 130656 78199399 22695119 1000000000000000000 112763161 94745847 95979558 102498998 1000000000000000000 412412725 262883122 295653130 346178435 1000000000000000000 40521869 18601426 3829650 19576291 1000000000000000000 601610491 562614443 162200152 208230444 1000000000000000000 950760098 702278437 92145265 420925 1000000000000000000 516248999 286881749 486350549 197119318 1000000000000000000 304234355 273194872 47051727 117536136 1000000000000000000 267456300 46551550 93807729 243397739 1000000000000000000 910194795 95474144 342213531 393375446 1000000000000000000 935947335 600822220 194718374 139190534 1000000000000000000 568905971 163849312 545244323 108763269 1000000000000000000 96759534 86528657 58223769 24432338 1000000000000000000 92142530 76321744 18911509 21547850 1000000000000000000 75803573 65495325 58560818 41416727 1000000000000000000 344298884 109181256 93812661 97877259 1000000000000000000 431668040 380594368 183858094 131059990 1000000000000000000 11687097 3443013 2081588 3985373 1000000000000000000 427024743 75286607 189428105 91707132 1000000000000000000 597302024 536236464 379084204 509627424 1000000000000000000 775487665 627198327 366553205 676008169 1000000000000000000 935054199 451233925 184766496 235111953 1000000000000000000 497186460 102353099 219473015 9704222 1000000000000000000 503191048 104615128 158598742 448386500 1000000000000000000 247794330 209885932 191992083 186463496 1000000000000000000 533498630 7859068 151977433 195500262 1000000000000000000 879631686 858521081 845562159 857866381 1000000000000000000 133674377 110647408 94850370 122347281 1000000000000000000 725619285 232849527 321574201 339148315 1000000000000000000 102728589 63836130 23475321 95949193 1000000000000000000 40107722 18653478 28578200 24119589 1000000000000000000 591295083 204162171 508100487 383581369 1000000000000000000 402822097 201405580 292072239 289543857 1000000000000000000 892461085 712960345 567091367 340624331 1000000000000000000 881060807 579830279 292710150 465936790 1000000000000000000 425278515 170244024 16529962 188128370 1000000000000000000 612729317 597281881 588441978 327875065 1000000000000000000 483778352 363033581 220925241 114526734 1000000000000000000 118940939 17233442 48798975 35383652 1000000000000000000 438094032 284862035 37263470 356677571 1000000000000000000 561421518 388563679 431270905 478844113 1000000000000000000 291694118 272763002 54815711 21203458 1000000000000000000 204086054 132031453 57869871 56285373 1000000000000000000 820609465 111315155 650109406 201702212 1000000000000000000 936092078 95240032 661009778 542547589 1000000000000000000 483754009 46236457 195154911 16830643 1000000000000000000 165101836 43006648 158128148 133038878 1000000000000000000 506585237 50253150 349585166 285342864 1000000000000000000 218066290 58757077 66229748 66972853 1000000000000000000 388466239 82472195 67585172 76004907 1000000000000000000 243006548 5338221 81729262 44037790 1000000000000000000 901840814 40723997 17286943 367418897 1000000000000000000 631566633 231183057 111607919 3420691 1000000000000000000 350767307 179307583 326403688 281404697 1000000000000000000 418870602 184647842 10084800 38610495 1000000000000000000 432892173 226414033 158286376 345299068 1000000000000000000 21385199 8593947 21018798 8336941 1000000000000000000 616925573 36645244 432382215 545023094 1000000000000000000 399938286 371816557 378308565 340728603 1000000000000000000 427361976 92122340 147188601 240580062 1000000000000000000 344430785 194772220 56314784 165448291 1000000000000000000 373214561 359208068 53775409 271925593 1000000000000000000 396888215 17795234 20845793 276996180 1000000000000000000 809613393 183044021 440771462 521498156 1000000000000000000 291923833 210478444 160466166 210268559 1000000000000000000 866896485 285977346 163535245 381492682 1000000000000000000 722494352 660291093 580017661 237534947 1000000000000000000 171056265 5489025 117964879 101464980 1000000000000000000 527168052 451225187 52256123 305332843 1000000000000000000 133940533 52178915 82490211 56111350 1000000000000000000 202453892 113733962 135502008 83136799 1000000000000000000 990139792 116390352 674932411 961562151 1000000000000000000 817824295 211180848 51267466 400835503 1000000000000000000 440183566 87167971 377230795 88468945 1000000000000000000 84192906 45266421 75087320 29181770 1000000000000000000 439589662 70578305 120019419 194678290 1000000000000000000 92105195 65005893 75403223 18154324 1000000000000000000 711470133 194922497 135396715 69084360 1000000000000000000 687118365 22360553 277396613 27880926 1000000000000000000 366905189 134660392 58242345 40532271 1000000000000000000 781913312 768768999 751460755 119850840 1000000000000000000 258040115 129812374 169873023 141652408 1000000000000000000 819696384 738517214 364295836 623500025 1000000000000000000 447788126 388520026 259547350 301722181 1000000000000000000 881575346 572426420 575158699 345435351 1000000000000000000 598746397 466946163 565671955 119413373 1000000000000000000 923965422 453334120 799359901 147884678 1000000000000000000 409408142 208116272 21601417 113143961 1000000000000000000 761563637 560309993 718521981 591222189 1000000000000000000 187078919 71987485 102552050 170591090 1000000000000000000 300101791 282513668 47527834 49801563 1000000000000000000 202353134 106652554 83114184 80671195 1000000000000000000 731359938 374423928 705303889 247993914 1000000000000000000 537935404 405345836 481066847 19394820 1000000000000000000 583583617 413757062 452408766 397665187 1000000000000000000 3725280 2593444 317166 3005303 1000000000000000000 31338329 8721671 14286171 936050 1000000000000000000 185478001 141387909 145665957 45858041 1000000000000000000 850509440 362565444 152603761 8774684 1000000000000000000 493188099 263782088 171710129 42745552 1000000000000000000 114032653 94795387 65505768 93880282 1000000000000000000 737639916 396148729 313658829 430264845 1000000000000000000 589658018 276576799 492248151 135079868 1000000000000000000 972057990 196822774 101630752 60725364 1000000000000000000 132721628 92405141 73389949 51754222 1000000000000000000 307909590 164465015 307158092 32830185 1000000000000000000 70804558 20370021 5911213 12506326 1000000000000000000 846871381 380648525 729988837 24785663 1000000000000000000 546956652 347929024 238225183 169386721 1000000000000000000 985786485 67878265 982206047 933703915 1000000000000000000 460432692 65510425 389105608 99618982 1000000000000000000 387933253 380114628 308691329 379970034 1000000000000000000 611141126 474024871 407708710 474028360 1000000000000000000 246628164 86671374 203598250 2705487 1000000000000000000 712767412 35341399 103672822 694119228 1000000000000000000 75110083 6805471 71268742 52304242 1000000000000000000 670006418 623155590 647609540 55437567 1000000000000000000 886904221 736693599 857715676 691705159 1000000000000000000 219878487 206325103 58318802 37248570 1000000000000000000 475553869 168300250 235828721 324478158 1000000000000000000 930253940 860197053 90753709 174122373 1000000000000000000 822171662 340482507 22721725 626402648 1000000000000000000 58937644 35024733 7687705 1038239 1000000000000000000 161000940 112411468 81293684 8234065 1000000000000000000 627550477 96856272 457675855 189101525 1000000000000000000 941570011 437795222 901143442 634809888 1000000000000000000 464253354 422720515 14343375 326685632 1000000000000000000 461098525 365151242 190096451 234284120 1000000000000000000 864413582 643136783 731356218 648233863 1000000000000000000 765581470 472777923 584371871 426120275 1000000000000000000 567721849 539678720 462462578 249742513 1000000000000000000 269682872 195377704 44531655 268318863 1000000000000000000 334432836 160070732 41650146 294036203 1000000000000000000 942424016 675557671 220385737 814493371 1000000000000000000 797694625 386146908 621212313 792497229 1000000000000000000 129218739 108010714 116008163 64819928 1000000000000000000 798709043 437964411 430563550 104550085 1000000000000000000 65445674 39617513 55028264 52935303 1000000000000000000 907702603 253636237 29732147 851795820 1000000000000000000 521940788 111098880 285423787 410306985 1000000000000000000 983989534 736478042 759618669 115231720 1000000000000000000 470368663 402408566 192785717 137247413 1000000000000000000 204682374 97464821 68081939 108841910 1000000000000000000 552552451 324707389 3189667 498910690 1000000000000000000 616333292 344581327 325523569 248215059 1000000000000000000 995498341 102698086 467474600 858140704 1000000000000000000 426385218 283527994 135228781 13320908 1000000000000000000 95643741 14515834 33656181 14039076 1000000000000000000 578735521 218248775 492410050 424957946 1000000000000000000 702455888 675937115 654746907 598274501 1000000000000000000 21730931 11367745 14112320 20055198 1000000000000000000 143122597 94723659 129795461 129425703 1000000000000000000 521344844 368286611 68604583 177331541 1000000000000000000 132186257 56706153 108110409 127910749 1000000000000000000 794506486 473439519 788509198 516110062 1000000000000000000 780088267 725077932 129790619 389452311 1000000000000000000 583741174 173971203 420603636 110263624 1000000000000000000 441640023 10118573 332340913 400915008 1000000000000000000 552686200 218033526 513261827 480904598 1000000000000000000 628932013 419472008 448631210 131233976 1000000000000000000 745428060 343242095 445253561 163538799 1000000000000000000 127759500 111719398 82503478 47870928 1000000000000000000 366371714 46262528 48843963 280184943 1000000000000000000 585714938 423928679 222741550 49864131 1000000000000000000 823745949 393488601 664378576 261093143 1000000000000000000 152420221 52234446 141909277 131428504 1000000000000000000 959828308 842632446 504149452 906323917 1000000000000000000 153247999 131337632 49481884 33966939 1000000000000000000 154574273 120415129 2241357 95335494 1000000000000000000 355462026 168120804 23344771 31941799 1000000000000000000 325014482 113530645 56780339 284638364 1000000000000000000 490958644 212369704 331493895 391493528 1000000000000000000 631436535 443497531 316867187 458526112 1000000000000000000 309873136 11495766 107526539 262101883 1000000000000000000 862283799 110001762 731850280 834008654 1000000000000000000 871393688 152271858 519411684 737006912 1000000000000000000 968479829 590106048 500785846 843045094 1000000000000000000 302818727 70840688 198568279 302151631 1000000000000000000 389634319 377895027 94753024 287053430 1000000000000000000 514163895 373779994 132509825 500189109 1000000000000000000 425280709 228197981 394986920 191022325 1000000000000000000 410982858 275168293 232423185 65015363 1000000000000000000 884274999 872545965 710960399 177777411 1000000000000000000 623082097 393501194 91469674 5287660 1000000000000000000 852999468 759886230 612660037 84823746 1000000000000000000 270661357 103645771 208468389 256237941 1000000000000000000 184264286 48064747 120635318 103328528 1000000000000000000 974662864 398130667 114306024 258066387 1000000000000000000 200658776 51275290 7925444 5321257 1000000000000000000 920296568 82209667 634318153 279673622 1000000000000000000 504860895 111486375 425452452 159886627 1000000000000000000 366223409 213763469 212561592 90527924 1000000000000000000 641985371 111109579 347840279 323935668 1000000000000000000 398286811 65376593 368951902 96569775 1000000000000000000 49371013 5519348 23097652 35952967 1000000000000000000 954690960 383681 798491897 30948240 1000000000000000000 938763960 360517881 767181945 136749167 1000000000000000000 34173157 31928942 5639898 19013258 1000000000000000000 981742662 294318052 167408433 921621274 1000000000000000000 391307637 190548851 104955759 173674599 1000000000000000000 976036514 835453735 737735165 392488908 1000000000000000000 177627485 21610053 130494829 133748913 1000000000000000000 933244762 135817189 310596893 807623773 1000000000000000000 662925218 484053279 12023216 431371113 1000000000000000000 520437006 5676850 38171030 139538692 1000000000000000000 307159086 292926223 53009420 219248372 1000000000000000000 843072492 682958284 28323059 176741359 1000000000000000000 820722017 191026985 76834731 17438799 1000000000000000000 597387211 60140725 378656113 267746075 1000000000000000000 411197441 91071145 328793013 278831681 1000000000000000000 312009199 199666170 239638966 178832350 1000000000000000000 922414374 169483738 160911557 536677544 1000000000000000000 772887144 753235135 235150621 391012288 1000000000000000000 338828157 251073666 91959189 16263664 1000000000000000000 579256571 520334914 224850619 198025654 1000000000000000000 300411177 212937063 195681947 132220245 1000000000000000000 530705073 88146220 273042354 74119732 1000000000000000000 164888023 139094445 7938807 118406613 1000000000000000000 738158160 635083503 336868459 270663114 1000000000000000000 826643546 381066753 261708262 223811145 1000000000000000000 865051573 126715362 629346369 109665237 1000000000000000000 813731136 93617740 556586148 758836346 1000000000000000000 114698780 95739683 61731342 100336098 1000000000000000000 884947436 461416069 403442215 155888590 1000000000000000000 974602537 548599598 623191064 734940732 1000000000000000000 896549491 98706841 8044594 551958385 1000000000000000000 494157982 136969538 37087060 116679185 1000000000000000000 921561267 766321327 693120796 316100881 1000000000000000000 397955057 250436238 219300416 333332024 1000000000000000000 190676530 179499676 31269366 78834002 1000000000000000000 131474882 28420973 90951852 48826307 1000000000000000000 76291631 32233524 46164973 31853786 1000000000000000000 254679632 39133068 102581177 196294984 1000000000000000000 3707611 585967 2683624 1885535 1000000000000000000 854407362 766517832 481111128 239644155 1000000000000000000 964104515 364457844 397962981 631900655 1000000000000000000 521987206 213925021 395427781 339876319 1000000000000000000 927535776 457938712 639929489 432521732 1000000000000000000 291449554 195959057 189666965 226412469 1000000000000000000 572632828 144425787 24399073 342959616 1000000000000000000 910087811 880103354 767683220 849728091 1000000000000000000 507570644 456591152 359266604 19892823 1000000000000000000 851496769 168870438 700168934 516665610 1000000000000000000 116863495 113469885 82640575 54186400 1000000000000000000 424689732 67027839 172551136 21219094 1000000000000000000 640374164 505140763 573627701 244144564 1000000000000000000 639904782 621181609 457971031 339457660 1000000000000000000 577803961 447321784 104986643 376745288 1000000000000000000 451520422 36913496 419498889 271874001 1000000000000000000 973122098 457887212 875323367 190227669 1000000000000000000 254136750 91581907 7393888 81080217 1000000000000000000 446148603 327816173 154785527 130913686 1000000000000000000 718688538 562118135 131693949 671952437 1000000000000000000 975205990 396743815 617138549 793212395 1000000000000000000 318311160 283084759 97782832 316852741 1000000000000000000 422385691 20535470 159930632 138814973 1000000000000000000 573810369 21599148 496656511 48351695 1000000000000000000 530031632 31977388 305242603 506167809 1000000000000000000 220760246 6727443 213763766 102151755 1000000000000000000 104017459 83219321 9528054 7193815 1000000000000000000 346234743 187960171 203886778 254783006 1000000000000000000 602439387 296542107 71237135 456659393 1000000000000000000 173839988 5991591 3567336 30222578 1000000000000000000 428547407 358417686 298201979 212921102 1000000000000000000 598888159 118475224 484327475 508023313 1000000000000000000 72531991 40196589 3460725 46007980 1000000000000000000 229564921 8254498 141433158 88179588 1000000000000000000 908632744 610214783 287213974 782291774 1000000000000000000 540186257 169780259 76268728 509588352 1000000000000000000 654253588 52409983 472836854 5458319 1000000000000000000 999104419 511679585 294021060 324990257 1000000000000000000 506838603 66730994 430296488 169827232 1000000000000000000 441298251 154988126 238239937 258371806 1000000000000000000 633379941 524075069 73916321 382224022 1000000000000000000 591002869 9833691 61454559 348873232 1000000000000000000 33932958 11868790 8942769 9858245 1000000000000000000 27024475 22577886 1773880 1289043 1000000000000000000 955928321 645661968 273395148 243259469 1000000000000000000 853392645 349181143 63158613 529801108 1000000000000000000 8392118 4082717 486367 2247592 1000000000000000000 975450252 19480946 769394979 830412487 1000000000000000000 197980303 37779748 153791480 20020775 1000000000000000000 7148802 1841055 2473495 1140975 1000000000000000000 639578254 160765726 507486004 97646633 1000000000000000000 86048831 73852104 42751381 50129872 1000000000000000000 46467314 9115866 39416946 6890778 1000000000000000000 33456235 31966170 16106868 9243544 1000000000000000000 328403889 131823380 247504118 247852189 1000000000000000000 801200945 453291917 714937186 784511859 1000000000000000000 278281211 62843596 153740664 52587412 1000000000000000000 528764390 266988280 283773300 273490818 1000000000000000000 682407672 39749581 8268313 347148523 1000000000000000000 897753457 177029159 50703769 583871392 1000000000000000000 6550651 3502323 98006 43269 1000000000000000000 724219855 275542519 235522352 42819375 1000000000000000000 577727997 576933375 182583454 394359582 1000000000000000000 500993747 299833184 195918239 325487857 1000000000000000000 684961538 95439151 471714479 381830385 1000000000000000000 752487033 192607325 99200400 12869514 1000000000000000000 930435868 238698442 254132914 20634621 1000000000000000000 461909141 403562960 23141808 442005722 1000000000000000000 822011566 479249752 352589229 181825651 1000000000000000000 312422905 64417211 20944022 252560648 1000000000000000000 661931918 439351235 99310220 425953874 1000000000000000000 322306517 180203884 118248599 211658895 1000000000000000000 461803558 262159399 213427747 183629185 1000000000000000000 688810610 201851033 86116180 651989552 1000000000000000000 81915397 75484712 10303427 4315153 1000000000000000000 737510921 414167546 476711827 629187751 1000000000000000000 200853070 2930151 117001286 18646575 1000000000000000000 256589686 236108654 238261574 48574204 1000000000000000000 457989933 261774873 152481539 334023983 1000000000000000000 85988354 16643627 54662633 2046026 1000000000000000000 98207640 84681213 79003678 55813279 1000000000000000000 325701026 179748979 136933715 47272017 1000000000000000000 610399985 141743352 460635942 215827309 1000000000000000000 493647932 378291739 242223738 217368465 1000000000000000000 8184208 6157191 992013 5154728 1000000000000000000 693197322 412068464 48676565 299652671 1000000000000000000 587435347 62063908 160227755 480231742 1000000000000000000 916593388 127032950 666186152 336167906 1000000000000000000 318204937 263685842 121135066 265224886 1000000000000000000 184724545 111652198 73328453 143803016 1000000000000000000 771149726 676921940 478410798 8434605 1000000000000000000 219993804 74557738 125083671 157756215 1000000000000000000 347942121 132004276 140201081 132558273 1000000000000000000 55317259 3324299 34965138 39031138 1000000000000000000 617366390 409762514 179963754 232157166 1000000000000000000 987733501 342613849 30019004 757754728 1000000000000000000 360184200 29965196 327715136 261956551 1000000000000000000 329237971 196045955 269193428 256163647 1000000000000000000 443753340 425724126 443096982 207979201 1000000000000000000 460903391 150988810 248621159 283814560 1000000000000000000 746499631 638421226 322104001 150845058 1000000000000000000 340177257 159205317 305152385 71857773 1000000000000000000 850483545 405431362 109955722 295013871 1000000000000000000 107052140 78363629 52200231 39368460 1000000000000000000 538149284 432594996 483800575 368454398 1000000000000000000 329843379 3492313 127888486 245670995 1000000000000000000 735156341 105703175 87941921 203460513 1000000000000000000 953658364 951460352 876988995 768940120 1000000000000000000 431141618 378058394 307073048 250808923 1000000000000000000 536997952 135842546 110263 94113966 1000000000000000000 454635983 248870337 77334406 219051051 1000000000000000000 565739399 452045652 371376203 29975257 1000000000000000000 439155071 42703727 398595281 263528780 1000000000000000000 978349994 867102709 882753832 314191067 1000000000000000000 770149957 763921234 589032882 228273522 1000000000000000000 613761274 564198332 548934587 53047984 1000000000000000000 219444296 69705584 165625344 218685477 1000000000000000000 85359789 30567657 29674732 47249926 1000000000000000000 378892722 136582834 128634847 109551852 1000000000000000000 927687533 199482585 103488365 665113230 1000000000000000000 451757765 99923508 374489918 44301716 1000000000000000000 127195090 20242040 117379313 80766274 1000000000000000000 166663441 138214891 161526896 10312122 1000000000000000000 648868652 455026844 330889252 583000819 1000000000000000000 755814991 494922234 239032908 294415086 1000000000000000000 682843108 349495507 475052565 484589232 1000000000000000000 730170376 149567323 679792895 334717599 1000000000000000000 895891151 308717032 561394139 101084331 1000000000000000000 560073788 505521672 3531339 558077503 1000000000000000000 949701835 102607874 589241513 510813604 1000000000000000000 565794917 390719580 4031858 304642267 1000000000000000000 886938359 264942972 91563522 653331347 1000000000000000000 659627473 162040212 100901707 39855383 1000000000000000000 142524748 59355809 65880965 62561932 1000000000000000000 231352940 69131287 17497447 9311127 1000000000000000000 416635155 280829117 8319937 60808126 1000000000000000000 2511283 1716712 36671 1812111 1000000000000000000 955861040 496590111 448239484 732437793 1000000000000000000 488609244 52063224 68587790 58476352 1000000000000000000 777505598 650115767 737816618 34965866 1000000000000000000 659301375 612574946 445000011 381625307 1000000000000000000 553668151 524701489 350389699 255936490 1000000000000000000 659182261 505397425 19002945 499858218 1000000000000000000 345960610 229260665 108424133 95810327 1000000000000000000 169991363 120316671 1960982 26252106 1000000000000000000 685488895 583670360 178309878 574743805 1000000000000000000 890481352 711742017 36232975 63237919 1000000000000000000 476996315 252628108 345277682 105004278 1000000000000000000 83290824 23365396 41231719 60377653 1000000000000000000 20613502 10520474 1221205 14866879 1000000000000000000 235165722 59795216 4558599 201363766 1000000000000000000 879081851 318007664 412179807 760034210 1000000000000000000 847925840 570263778 365769642 752025381 1000000000000000000 212960956 54664451 74497139 38640414 1000000000000000000 991879598 419336043 500523032 653163624 1000000000000000000 669395005 406332021 103301015 578761262 1000000000000000000 387344136 330286286 320012770 222470968 1000000000000000000 853729704 115390517 332183711 547944707 1000000000000000000 201399302 120762298 127499380 98314488 1000000000000000000 61295644 20374136 2727381 13010740 1000000000000000000 632913601 616234976 294343077 494467279 1000000000000000000 363092387 90579471 338191877 314965167 1000000000000000000 689051148 349354865 105292146 374601383 1000000000000000000 556525148 338538694 465137697 162099734 1000000000000000000 824622648 655214266 528460438 548140433 1000000000000000000 620156938 149398469 584168457 224604796 1000000000000000000 110492903 27305186 14380780 57269635 1000000000000000000 939316104 730851717 355417377 317435319 1000000000000000000 374652661 226430156 246513778 228981636 1000000000000000000 685722077 684892439 484619045 354121889 1000000000000000000 313345853 263985333 123380973 271131734 1000000000000000000 334161716 165521025 252561798 87955852 1000000000000000000 292240213 80257955 96464366 262909952 1000000000000000000 243973029 71175305 90450943 46301421 1000000000000000000 62787505 46107007 41483061 47071054 1000000000000000000 668806839 410032003 305344178 659380033 1000000000000000000 217080374 49222566 79512588 51983259 1000000000000000000 824380223 65096853 267619954 660122240 1000000000000000000 517477136 434005934 214592593 80083893 1000000000000000000 62227143 54558082 54628287 51037002 1000000000000000000 906349050 274902593 676636765 736219728 1000000000000000000 18179402 18034072 11735865 16982744 1000000000000000000 889572771 46170767 266494596 215881325 1000000000000000000 129616635 37726160 117115643 96882209 1000000000000000000 168021338 149445741 134875715 167091315 1000000000000000000 253987878 183821678 85276961 67502379 1000000000000000000 286174547 264869211 19437480 40070236 1000000000000000000 50118229 18423611 17837687 3249213 1000000000000000000 492449209 326458931 158294403 379073129 1000000000000000000 550378101 249173599 447123216 228626566 1000000000000000000 575159770 483160659 339273744 191925295 1000000000000000000 213919781 80883149 136336908 31022250 1000000000000000000 242787956 124831289 213228248 236247487 1000000000000000000 914229956 900030232 626329273 831974853 1000000000000000000 125802334 24950275 37477031 23904661 1000000000000000000 143655882 38934937 16166048 138476425 1000000000000000000 485703588 71562053 361137904 23984452 1000000000000000000 486478821 356258733 347120841 339893386 1000000000000000000 747703636 531777599 111359875 377186915 1000000000000000000 532237379 481288265 328029848 256165991 1000000000000000000 732172658 339152952 22320052 105706256 1000000000000000000 834597706 565679659 290537873 84604817 1000000000000000000 947276147 207694597 912611140 796155433 1000000000000000000 181871503 82032929 127252928 173955332 1000000000000000000 836299161 43936268 563585152 206035919 1000000000000000000 892455826 442602613 74808777 317299563 1000000000000000000 84391170 5726487 59111388 34192246 1000000000000000000 731839535 512853203 97852557 224792586 1000000000000000000 948620820 77253887 710115601 135370359 1000000000000000000 314057690 167348667 100652164 26028346 1000000000000000000 479189440 56051832 257990967 94525742 1000000000000000000 120972641 29538006 91815724 58536095 1000000000000000000 182118817 40549506 16539844 29232248 1000000000000000000 680646669 422346959 620458907 359255423 1000000000000000000 680477027 313208569 366832007 71746020 1000000000000000000 526293817 7694384 287084899 338017079 1000000000000000000 379863887 116452510 14470573 3219221 1000000000000000000 824176433 473999182 347088177 767023286 1000000000000000000 452385841 381097492 383606895 428644435 1000000000000000000 280998311 228842057 88788713 47074557 1000000000000000000 385973794 53523902 259962277 316274945 1000000000000000000 371312643 78207655 48820366 132609996 1000000000000000000 521683435 185662684 164756297 202162148 1000000000000000000 612192443 79215472 165546972 610770334 1000000000000000000 760321456 258593501 308858266 729141400 1000000000000000000 943410112 933704952 137803163 408536347 1000000000000000000 481233680 64458512 327487713 201049582 1000000000000000000 29457380 4066564 1836838 25120628 1000000000000000000 599865798 124803746 370517335 59787504 1000000000000000000 254232069 162977981 41233606 205805583 1000000000000000000 352385372 299571498 135658238 96455729 1000000000000000000 861684822 230513518 90407299 746243766 1000000000000000000 688635165 681291096 204553501 368731084 1000000000000000000 394757766 98292450 130199353 90873304 1000000000000000000 448132695 180709691 91861966 241710709 1000000000000000000 528834886 449632299 488698345 474451774 1000000000000000000 266120198 34834378 145232002 251847743 1000000000000000000 258670472 57588480 179599066 138088387 1000000000000000000 100124298 16170344 32383027 20110715 1000000000000000000 881272690 432438855 699803799 660392008 1000000000000000000 391465722 305261633 323957207 138537461 1000000000000000000 886720025 786824956 392441777 781420595 1000000000000000000 770541463 89074632 466165696 128945081 1000000000000000000 468116419 322020738 47025179 674983 1000000000000000000 778271117 483630804 160304831 287742168 1000000000000000000 867892548 224506639 370104004 96536876 1000000000000000000 400940049 10722780 249890391 23719534 1000000000000000000 779094147 700189452 167411772 767430631 1000000000000000000 570483991 337565125 202931966 488707323 1000000000000000000 452608003 185340514 376167780 309553899 1000000000000000000 460254939 206452460 153467989 60342765 1000000000000000000 116197472 3739637 91156506 20272295 1000000000000000000 963719510 768329359 225895031 315942892 1000000000000000000 158065811 155796829 108679616 6568472 1000000000000000000 265016508 221241875 204387649 245947690 1000000000000000000 638882566 167910944 455568931 226506154 1000000000000000000 973661070 609195586 239785479 778545034 1000000000000000000 638602672 477981060 391137668 388920417 1000000000000000000 455941983 294548386 399913162 330884817 1000000000000000000 452537481 227413920 414005433 354694540 1000000000000000000 165619396 4252191 78096730 159596249 1000000000000000000 272445279 267032441 262613915 256361868 1000000000000000000 677720342 113848080 351347116 76785187 1000000000000000000 804023738 776616376 119036760 944549 1000000000000000000 747357748 687336219 106815865 318924480 1000000000000000000 832128012 490044235 359419441 564693864 1000000000000000000 13601449 6140066 8285951 11303500 1000000000000000000 877715899 600451691 60815540 253888869 1000000000000000000 107041470 8941310 14432740 2827263 1000000000000000000 466965504 71140120 76357874 182984284 1000000000000000000 425685402 49687963 257007939 45369130 1000000000000000000 69185233 60956761 49571936 28644251 1000000000000000000 959728591 516077248 467428102 864457578 1000000000000000000 618843853 277711035 581136227 19515574 1000000000000000000 492803734 90895239 292327803 137200007 1000000000000000000 829858472 790876819 118419709 807799923 1000000000000000000 587106437 244531622 486248544 186375359 1000000000000000000 950852041 816746520 121046463 618658928 1000000000000000000 943230764 206998534 464488363 162477805 1000000000000000000 441651056 153412253 386333926 194962887 1000000000000000000 350239053 268471623 70371503 119548662 1000000000000000000 508446668 35170663 440073668 399261137 1000000000000000000 250543224 11787408 63304945 79297099 1000000000000000000 695127641 284160994 596557192 339451701 1000000000000000000 973839819 133403509 292116843 206444169 1000000000000000000 307769638 240901041 87782736 65995798 1000000000000000000 823412704 362172476 747700810 480539359 1000000000000000000 306936511 116065506 83887202 27536408 1000000000000000000 336296448 204691274 246706948 96804652 1000000000000000000 321924282 97053300 159895973 29121730 1000000000000000000 477067837 305737115 79782412 125560826 1000000000000000000 118245778 108199417 714737 32450166 1000000000000000000 585907518 40652354 6022313 369034221 1000000000000000000 960877535 205573584 185936679 755555712 1000000000000000000 799605963 151685447 771760486 162447338 1000000000000000000 261582327 34790143 41363118 228939411 1000000000000000000 947622628 798726412 805857528 148721689 1000000000000000000 49339884 34298200 4686316 37367047 1000000000000000000 313239293 175268669 34180875 49655909 1000000000000000000 754248869 127692427 662237176 543400818 1000000000000000000 352702073 52148110 206621213 222261283 1000000000000000000 430993577 248524872 245132680 357692403 1000000000000000000 388538938 20715814 14860960 207843645 1000000000000000000 945045627 942715803 254762622 204094724 1000000000000000000 882472956 414409782 265313951 754038289 1000000000000000000 851333828 552957583 410331863 470639939 1000000000000000000 341807364 275462617 145532832 224372098 1000000000000000000 36961137 14824865 8991530 35356110 1000000000000000000 193637212 42987101 87333035 40572380 1000000000000000000 835091396 66285868 251443576 29725396 1000000000000000000 828236325 125205211 565075665 195612140 1000000000000000000 653233601 35616033 537808232 287169206 1000000000000000000 411747106 283334031 370905958 230538675 1000000000000000000 611004607 73816619 391823173 235275102 1000000000000000000 151046780 53049835 35969076 63292977 1000000000000000000 560074579 545480715 465687290 371736297 1000000000000000000 289935849 6656361 265699480 95832996 1000000000000000000 718581348 626277068 202190997 687871751 1000000000000000000 215955943 4790222 70743245 49065195 1000000000000000000 126755845 120882757 31467586 118142319 1000000000000000000 289848071 136704039 134342581 275924714 1000000000000000000 633754974 583114304 212897888 501982782 1000000000000000000 891541588 404259103 888555793 638123156 1000000000000000000 829805826 48698894 14053052 682841611 1000000000000000000 336188784 239386177 317529808 167365938 1000000000000000000 833591903 34348945 143249844 368496747 1000000000000000000 79704598 78031836 10185493 71751694 1000000000000000000 420668739 350440524 186669629 15314325 1000000000000000000 652104593 557885267 392007376 13780336 1000000000000000000 348780246 4163525 345102756 153768574 1000000000000000000 4508155 2528317 1378391 1586825 1000000000000000000 195451672 164026394 134092827 155206530 1000000000000000000 510487027 271069241 197959696 206030901 1000000000000000000 446826075 5072350 358394814 127040120 1000000000000000000 767503580 487499486 750195563 741085264 1000000000000000000 76778690 16561685 73241945 6438495 1000000000000000000 596153635 391408998 322879236 491979410 1000000000000000000 93750661 33696003 71401992 29046175 1000000000000000000 830712867 644080604 245176031 180620363 1000000000000000000 315469019 45676519 37330658 89837403 1000000000000000000 129357515 101526274 84707580 93927887 1000000000000000000 429695235 306974804 25935019 290902594 1000000000000000000 814722844 551595403 320013715 133489893 1000000000000000000 64845980 20816084 45417736 2616054 1000000000000000000 123001426 71403452 70548455 107381670 1000000000000000000 924709403 732709179 519940209 234393027 1000000000000000000 74089710 57763537 28564853 73602792 1000000000000000000 306656207 180758392 101840398 208858556 1000000000000000000 407764371 43040436 332960700 317641795 1000000000000000000 803060112 540642578 368387244 720572082 1000000000000000000 334085500 14822399 176645329 283181901 1000000000000000000 197721954 110049836 80521105 163016067 1000000000000000000 490016093 371178672 226811877 45105075 1000000000000000000 172999773 92793886 52352909 154764913 1000000000000000000 809787627 135243921 102241021 569027546 1000000000000000000 423544041 36446972 386611512 292789520 1000000000000000000 380452066 213011368 225207071 314856417 1000000000000000000 217364879 34650063 185456896 34281391 1000000000000000000 989821709 47447553 231607394 821584957 1000000000000000000 497801387 359749453 201652772 344555653 1000000000000000000 583821245 352492789 271402651 205940963 1000000000000000000 977081028 822753834 830435048 346398872 1000000000000000000 589856046 228552330 49126238 443701086 1000000000000000000 3395427 771833 82889 2195865 1000000000000000000 321638736 252884822 137512933 117549315 1000000000000000000 148575487 85139038 135145714 50197945 1000000000000000000 786802838 116083983 255255965 438341143 1000000000000000000 536452820 270275322 104860179 194999724 1000000000000000000 785814350 179899513 16088144 188641373 1000000000000000000 512524375 441047406 390835615 195018900 1000000000000000000 555454598 351462422 339197098 478355941 1000000000000000000 512023175 435881409 160863075 79003760 1000000000000000000 594899875 578802988 496795392 377593419 1000000000000000000 252279918 229387479 85220903 132690595 1000000000000000000 893386010 150902179 771299672 215889682 1000000000000000000 10601996 5280500 6008067 1874107 1000000000000000000 53601385 9366277 30960711 25228572 1000000000000000000 942284590 543285748 597643815 59625523 1000000000000000000 332407570 181976708 92760736 239636412 1000000000000000000 794692680 754446174 169998776 465105990 1000000000000000000 3104185 2490731 2225258 891759 1000000000000000000 986577035 35536072 166515190 235228170 1000000000000000000 761726803 132924704 479536195 131519068 1000000000000000000 941049595 431442487 557192495 650486558 1000000000000000000 281416840 109913411 97604320 261247640 1000000000000000000 188744637 43914743 149395255 27677886 1000000000000000000 635135250 255755841 382627869 109155439 1000000000000000000 460545643 347080124 115702220 446031547 1000000000000000000 809776073 464098975 577922191 528140989 1000000000000000000 611424792 293508913 410193911 485954225 1000000000000000000 11886535 10765936 4310473 8156570 1000000000000000000 108576731 932214 30686995 16779899 1000000000000000000 429444354 231788425 161461281 4929724 1000000000000000000 405007756 129784215 90064674 286833171 1000000000000000000 518438413 325261676 511454882 279433493 1000000000000000000 3221547 2898720 2592375 2856531 1000000000000000000 759554980 77253681 84150531 504542047 1000000000000000000 322576831 47495733 4151885 8304948 1000000000000000000 176588802 96725308 55344642 120747223 1000000000000000000 388493256 62918569 186808257 116196408 1000000000000000000 306939874 77700093 195700132 282807161 1000000000000000000 737708351 711891872 383562665 233367343 1000000000000000000 356985830 283592128 277155506 342459246 1000000000000000000 868546938 285833834 280543165 223708880 1000000000000000000 954197904 252246020 821206304 937773626 1000000000000000000 474438517 34949914 371401161 255380825 1000000000000000000 238226113 85214521 124187932 223372914 1000000000000000000 414498448 372178276 402372970 23908772 1000000000000000000 315799380 76288605 99237203 129872686 1000000000000000000 762092844 438420511 310469565 190264184 1000000000000000000 924985282 654595707 661729771 663816960 1000000000000000000 642369023 148235220 75866071 206357482 1000000000000000000 102495924 55727393 49008167 45176276 1000000000000000000 853414129 534150711 563222246 15717881 1000000000000000000 185356834 37898777 120475787 131565078 1000000000000000000 542555180 19841326 251239629 47287428 1000000000000000000 33747717 12913446 4010239 21211042 1000000000000000000 634830819 244977097 179543461 406449731 1000000000000000000 829375097 675317856 553378463 524566548 1000000000000000000 46785464 28323692 31508325 3513717 1000000000000000000 88671674 28197485 13013601 60152310 1000000000000000000 351286899 44272159 154338828 27621773 1000000000000000000 327906017 307720352 285047959 49668818 1000000000000000000 664357930 234009741 160789157 446430011 1000000000000000000 361283343 307055417 339946534 236120312 1000000000000000000 596308001 197615835 316704102 327099809 1000000000000000000 199494886 105208929 139788600 115109155 1000000000000000000 904470148 225545071 523953290 804241488 1000000000000000000 625672893 143750223 285190044 153530218 1000000000000000000 479698140 342148037 91991618 253973770 1000000000000000000 57844034 2100087 4518562 13976038 1000000000000000000 832601032 450776392 568638767 561648805 1000000000000000000 161882533 78341899 58845541 83690113 1000000000000000000 737684490 292903601 474905000 400437340 1000000000000000000 538098204 115366884 152798200 256932703 1000000000000000000 280262969 142462079 201489365 175542951 1000000000000000000 47077719 15953681 40377090 38814823 1000000000000000000 345182968 116936158 10086406 337610417 1000000000000000000 964453080 901888499 710893921 803571608 1000000000000000000 2987209 1218695 2974574 256724 1000000000000000000 430076609 375102529 378439630 81919709 1000000000000000000 299006045 174312456 284053318 53433794 1000000000000000000 841153823 651392185 105363984 792304674 1000000000000000000 124513774 98805187 59474819 67607594 1000000000000000000 658732559 309950438 376280508 361150240 1000000000000000000 139336936 26689950 77790172 69376756 1000000000000000000 435201737 210385859 319929595 331357739 1000000000000000000 961151498 775839125 588362257 711900398 1000000000000000000 77016111 5689433 59719128 40663621 1000000000000000000 74082904 49646264 58769807 4999647 1000000000000000000 732889952 671170410 397535920 59654997 1000000000000000000 501210392 461226243 416256632 392148594 1000000000000000000 86082758 15226510 52974253 9202594 1000000000000000000 60016387 59928213 32652266 30427324 1000000000000000000 713996091 349868165 266937354 483986870 1000000000000000000 389898959 151328567 261597372 249219727 1000000000000000000 491728312 243691263 170049183 50511878 1000000000000000000 443895636 49442665 1812863 59248652 1000000000000000000 758776329 590264476 651944337 94598628 1000000000000000000 476701893 400782215 344682503 318824825 1000000000000000000 857813008 850922649 346110127 850637162 1000000000000000000 716668868 527086453 574772347 65716283 1000000000000000000 545692931 173715371 145398078 248141709 1000000000000000000 60834023 30627074 4825306 7794589 1000000000000000000 486485461 87997794 80943385 127177699 1000000000000000000 419294553 294161150 168403501 401726415 1000000000000000000 996143944 872762605 854159838 417086681 1000000000000000000 456236329 275193089 192996789 437964499 1000000000000000000 737994926 703613245 83709585 79640987 1000000000000000000 21271609 16808485 21082148 13688751 1000000000000000000 125941140 94932175 95918349 70216232 1000000000000000000 973057677 30281574 548247482 887381240 1000000000000000000 782355454 338327136 224969912 679994492 1000000000000000000 819765522 507652369 420085733 625501125 1000000000000000000 437952741 327202374 86962875 300897632 1000000000000000000 393665798 125319235 364910981 259806258 1000000000000000000 869400189 671005458 438557152 346605056 1000000000000000000 112137056 95430784 59287903 65668951 1000000000000000000 684432147 189155810 659186570 386028455 1000000000000000000 100222197 59039463 98613060 86349513 1000000000000000000 803260732 457243009 242902295 296402444 1000000000000000000 834604504 541627632 157256597 696488049 1000000000000000000 158836706 24309336 2999598 96675835 1000000000000000000 23821834 23680311 14028340 640755 1000000000000000000 743468691 659733351 222896942 661026475 1000000000000000000 353261079 118749230 286283158 240771226 1000000000000000000 255611132 199315759 157330077 153532723 1000000000000000000 457768832 419844339 275909647 49063702 1000000000000000000 870070021 753606098 230260010 37201676 1000000000000000000 374864189 217135627 173407923 355342323 1000000000000000000 848478901 515286044 522147327 476666269 1000000000000000000 668843442 485589481 526769287 199241182 1000000000000000000 391507675 7710706 220031114 136357968 1000000000000000000 854751483 18832346 211960446 145021392 1000000000000000000 7418773 1975104 470284 6854392 1000000000000000000 142508840 141177993 23347639 95103322 1000000000000000000 660933329 19171648 298403177 42206842 1000000000000000000 244528262 91846611 199049263 233957677 1000000000000000000 422231188 341495867 366506352 339062578 1000000000000000000 422666501 44543640 121111949 54244505 1000000000000000000 505969227 163800712 115303024 151399685 1000000000000000000 604159425 216933194 270433653 480820030 1000000000000000000 469953842 332597267 199288409 181364398 1000000000000000000 697269483 664143571 515562923 623889916 1000000000000000000 945720286 426895467 396257071 193037981 1000000000000000000 407621815 207498323 229170222 276877936 1000000000000000000 869521684 277727910 792376429 5040955 1000000000000000000 42188037 12512587 19554355 34840413 1000000000000000000 24829693 12941493 11723613 18377010 1000000000000000000 601155020 206226633 366467602 465718446 1000000000000000000 558311917 144551635 63593037 229837477 1000000000000000000 415180488 79836680 306339657 372974703 1000000000000000000 883371065 699784391 374251473 579314569 1000000000000000000 580386746 21256790 563890964 374309448 1000000000000000000 15783838 1974173 7017498 3809748 1000000000000000000 396461048 377782254 352495001 297334752 1000000000000000000 725262660 92463794 473601603 511117569 1000000000000000000 56070876 41344879 23062934 56033982 1000000000000000000 245822597 161035529 173182733 236534689 1000000000000000000 955648726 429024966 564130720 745115297 1000000000000000000 684875236 7422138 81966386 622432708 1000000000000000000 704275877 661795687 319805028 356003262 1000000000000000000 169227540 2040807 91127804 46862844 1000000000000000000 333546291 243202618 226393850 99443767 1000000000000000000 851657001 526580601 349651059 269556656 1000000000000000000 222922021 186327552 76204368 202360211 1000000000000000000 316233417 5029937 193407239 99799135 1000000000000000000 651085682 349654812 350738465 127509354 1000000000000000000 355197321 33400558 340936231 45015587 1000000000000000000 355818148 20016685 313863094 283943345 1000000000000000000 986930554 6582395 154403222 116586079 1000000000000000000 412036655 255077684 43553112 12336007 1000000000000000000 319289577 78736527 148531258 141076122 1000000000000000000 157622168 146140056 5133156 74646456 1000000000000000000 368125607 113760227 315609779 104577381 1000000000000000000 350637329 288605856 139266468 233998155 1000000000000000000 653663964 650388202 11375101 600597606 1000000000000000000 673316742 249934471 305874812 164761519 1000000000000000000 911478567 218072470 4251660 752314907 1000000000000000000 793923446 712153973 234811140 736527106 1000000000000000000 931538884 632960676 703089060 663741879 1000000000000000000 323248458 76601173 319490026 110294987 1000000000000000000 476312396 314862798 350692625 98357518 1000000000000000000 720223206 524054645 226596589 241626792 1000000000000000000 538481173 276973086 173455055 421640642 1000000000000000000 875124012 327895960 50764427 225451940 1000000000000000000 661500442 635166773 248201284 479439677 1000000000000000000 125728100 73378645 117362259 115433577 1000000000000000000 160854611 25325913 136296391 21961344 1000000000000000000 281045611 192397003 247865194 99799093 1000000000000000000 318041252 195537019 152382829 306534507 1000000000000000000 780363266 191042756 681074137 257029515 1000000000000000000 194333600 18384388 78070645 129303678 1000000000000000000 27602888 17364232 15814313 5644377 1000000000000000000 676698668 135669300 68414185 147378804 1000000000000000000 774221748 272398052 328713236 277832196 1000000000000000000 409609897 295372069 15298020 329500722 1000000000000000000 265428800 95729831 168909949 45834939 1000000000000000000 851277296 709044884 74983215 574796832 1000000000000000000 566694352 499450635 192815503 386334399 1000000000000000000 13001022 10357169 2628183 10891456 1000000000000000000 196975012 57890527 48365697 28320816 1000000000000000000 515896985 189180805 110963987 43730935 1000000000000000000 876490395 70102428 236093025 623959009 1000000000000000000 784382518 204508508 346668814 243491761 1000000000000000000 924575796 659728184 728680865 448845154 1000000000000000000 254347971 250637316 41444676 90454275 1000000000000000000 619911052 166197099 262262665 81419944 1000000000000000000 163006242 64414904 98190347 12558800 1000000000000000000 495364344 43949538 142091466 281067631 1000000000000000000 550854165 189012211 15057682 415803830 1000000000000000000 697440956 317849056 351647017 224246666 1000000000000000000 170249571 133085470 40584497 116033591 1000000000000000000 62661297 14714225 60800757 45619410 1000000000000000000 38604345 18920538 30723510 11935245 1000000000000000000 737067793 590303442 283956473 731554706 1000000000000000000 383673989 380256478 356634759 256505951 1000000000000000000 618398196 436888564 610267100 69219050 1000000000000000000 199625542 95158803 53700214 150606309 1000000000000000000 87490823 66436330 8168896 67409669 1000000000000000000 330297822 278967128 137890561 112591113 1000000000000000000 428335052 283370116 36059602 178945763 1000000000000000000 415016294 51727991 49613274 113422667 1000000000000000000 587553531 388159399 391765338 528649653 1000000000000000000 680812659 296458770 61047540 214183103 1000000000000000000 671990381 370594213 520630764 520931061 1000000000000000000 212752403 66112800 102168065 35397004 1000000000000000000 829138163 740424802 520996248 387144940 1000000000000000000 631115733 342032327 248948954 352522169 1000000000000000000 543494437 158250941 156511857 361146944 1000000000000000000 382521321 378354631 328812842 243999039 1000000000000000000 295460380 200844085 57153117 81098299 1000000000000000000 387180657 85644735 21517220 117873931 1000000000000000000 970400316 321821365 880092588 763846620 1000000000000000000 333574033 194987579 52914307 19292266 1000000000000000000 667700965 195798514 352110002 165026663 1000000000000000000 315484638 117634183 182694681 202639257 1000000000000000000 604419666 205823289 361014241 214848400 1000000000000000000 71785235 41735711 19000275 47343916 1000000000000000000 326213113 210018442 178896351 275811396 1000000000000000000 337991004 61349889 40762420 134583301 1000000000000000000 357917795 21227172 158808087 164885079 1000000000000000000 511255618 300984514 290467598 234939934 1000000000000000000 89085226 43169150 59417614 68350700 1000000000000000000 511902320 247285028 249411320 367239354 1000000000000000000 436580201 30862180 375979921 394229604 1000000000000000000 832811973 167876304 684403270 440329984 1000000000000000000 559592060 66983410 12741913 324315975 1000000000000000000 920441938 55764656 768576868 879501173 1000000000000000000 23807217 23608467 6555141 15113575 1000000000000000000 219949019 148700526 31013856 114503433 1000000000000000000 763030398 689544682 37048172 471258897 1000000000000000000 490389078 144863895 104327826 228827501 1000000000000000000 734375891 114134057 209042362 148028191 1000000000000000000 765261866 267081349 202800196 511763601 1000000000000000000 625184603 459853955 331307185 68181775 1000000000000000000 298809526 90850954 248330099 199987722 1000000000000000000 360091592 19529478 17837578 319443842 1000000000000000000 704627887 108546127 385693064 325616990 1000000000000000000 806649825 569456861 802521728 546558985 1000000000000000000 591422439 473732028 363658220 11326875 1000000000000000000 655465979 221289609 646961812 134147288 1000000000000000000 986669649 479387884 833897710 410851470 1000000000000000000 788850493 625493256 478982608 431673414 1000000000000000000 418637621 112786287 284221038 208081805 1000000000000000000 572315078 103165019 526000652 92846168 1000000000000000000 990098043 592433313 922517930 875121621 1000000000000000000 19247133 7418397 3450824 2016999 1000000000000000000 134642572 594418 9686898 116096790 1000000000000000000 153841196 153527313 117307957 99493702 1000000000000000000 42678269 32159931 16855652 15245697 1000000000000000000 134318653 126742555 121409233 102496055 1000000000000000000 372943081 316676805 16901808 338346460 1000000000000000000 585212973 11236359 111326081 243033091 1000000000000000000 120144214 45596581 24032203 22296781 1000000000000000000 293761974 56717404 23655674 262486148 1000000000000000000 851183355 553746125 730540594 87134921 1000000000000000000 834610834 675293194 9782728 521088281 1000000000000000000 60897797 38759854 26140651 13623649 1000000000000000000 410261238 183215395 99393351 373294253 1000000000000000000 297996007 228602351 37385828 252051527 1000000000000000000 894606187 625637416 131525475 89393375 1000000000000000000 706887006 275958528 315314340 624877743 1000000000000000000 454158783 448639124 41617047 3560812 1000000000000000000 11638254 11025368 8842521 7869976 1000000000000000000 723154754 270826199 397358687 70860883 1000000000000000000 486368403 477046338 268436527 115872102 1000000000000000000 978185871 415146589 170403164 683141197 1000000000000000000 387542285 89838556 246113949 300715145 1000000000000000000 509282482 151484049 499980240 457475229 1000000000000000000 707730904 51565402 175595544 428986345 1000000000000000000 821361876 693314177 549559306 812062693 1000000000000000000 502161349 238994612 257709730 332163710 1000000000000000000 80519195 66044331 38972444 58164663 1000000000000000000 445550344 394343929 412229237 44729940 1000000000000000000 27638504 19736743 22203593 7252556 1000000000000000000 177516745 116517333 43097210 99725471 1000000000000000000 481909137 275244265 28277109 463623197 1000000000000000000 866311520 36982131 203220157 801284037 1000000000000000000 991926816 405450386 523211907 266200278 1000000000000000000 156614903 31184170 33178240 8821727 1000000000000000000 413700714 372511696 315057941 398158189 1000000000000000000 681721257 41404482 345302342 556606266 1000000000000000000 511457887 477678036 76349349 359236294 1000000000000000000 341005239 309597388 243299712 237642935 1000000000000000000 23027665 20278448 8264939 7426405 1000000000000000000 265935765 66193679 84998164 208649520 1000000000000000000 398989149 23318027 378303465 117062688 1000000000000000000 249424172 194890428 206620576 155791525 1000000000000000000 82612950 16232277 67235885 59849806 1000000000000000000 695458333 182522443 331785567 279508729 1000000000000000000 920651169 685896277 507678884 148650709 1000000000000000000 846923969 386531906 777368015 123023347 1000000000000000000 758131652 71939960 560124576 619190643 1000000000000000000 150332629 691530 108657390 15075187 1000000000000000000 183199377 132189838 81850663 116156592 1000000000000000000 356396830 266124229 280616410 151327038 1000000000000000000 911240899 96793746 65823350 824418957 1000000000000000000 300232078 35061880 111442027 250742658 1000000000000000000 347384222 134482729 114071375 301933808 1000000000000000000 642324473 128921474 599532746 486012390 1000000000000000000 522381687 437811151 160104740 106353836 1000000000000000000 802322523 455750425 128223680 206966309 1000000000000000000 872278159 112748938 588895526 503644577 1000000000000000000 457577507 387376820 240930856 362508689 1000000000000000000 432428265 115610990 90467148 18156544 1000000000000000000 359511463 109410030 276348149 312759332 1000000000000000000 500989171 254100919 64018062 229447037 1000000000000000000 433814772 300694307 148717906 346041206 1000000000000000000 909142135 364042454 239396547 861205537 1000000000000000000 39338897 36390705 37710356 5149654 1000000000000000000 204065296 188188375 63100692 179454833 1000000000000000000 62772653 13130844 21161766 41150139 1000000000000000000 91407343 79393522 6010834 31191311 1000000000000000000 975930908 412006464 640714415 488479759 1000000000000000000 731563469 126127118 609922838 318028116 1000000000000000000 590826831 217106816 4745550 122683074 1000000000000000000 869009099 370989506 639474207 641491832 1000000000000000000 519048086 192049064 225935216 193497605 1000000000000000000 162304972 98065789 52184519 64288406 1000000000000000000 192618594 140261316 126554614 10553758 1000000000000000000 470521246 54375127 92651534 182851226 1000000000000000000 557871964 516150359 504373280 550602946 1000000000000000000 321514257 221956558 126842034 52023133 1000000000000000000 762351610 167546013 373889090 527147393 1000000000000000000 321311949 27624701 255520730 10238790 1000000000000000000 471755508 8259411 304820135 81126296 1000000000000000000 853530098 157770059 705592775 812658784 1000000000000000000 493170656 125103916 101570853 101698073 1000000000000000000 909507565 696556098 651118294 127860938 1000000000000000000 937170819 321780361 173106740 751272670 1000000000000000000 500767046 153555523 109128564 217103414 1000000000000000000 634846552 239969635 313993339 520604359 1000000000000000000 510307323 248237017 29717167 366871994 1000000000000000000 491797754 250473671 342949839 82357834 1000000000000000000 313390359 59306302 39134704 31951124 1000000000000000000 983266664 237205040 1640792 600745263 1000000000000000000 910828793 524788298 381971272 424541822 1000000000000000000 912977491 226441947 735358502 907865213 1000000000000000000 280358696 2872513 251300273 137237425 1000000000000000000 8624033 1972179 3681975 2994145 1000000000000000000 609992289 267174097 238543521 485658505 1000000000000000000 692651934 153027618 520955855 587650023 1000000000000000000 986108906 976887043 288770548 63459840 1000000000000000000 268396397 128508582 36545456 244516513 1000000000000000000 741592871 562381388 590673606 438381523 1000000000000000000 896433192 586978892 11986780 643850399 1000000000000000000 161743064 138422117 59642116 100504375 1000000000000000000 994384106 644665359 257488345 940119731 1000000000000000000 746574449 619984149 593499407 216084718 1000000000000000000 342771063 265364896 246779236 85516232 1000000000000000000 459350927 48345583 263854068 96967797 1000000000000000000 645997132 586523752 138895280 470670764 1000000000000000000 724524511 382289913 70757592 464425233 1000000000000000000 927559664 844376792 295663561 72048887 1000000000000000000 961993579 39926941 573220271 765964923 1000000000000000000 397208009 79346420 101626592 303486732 1000000000000000000 310124144 235083272 285215486 281771750 1000000000000000000 553612627 281130024 418594793 335832862 1000000000000000000 503353071 320064816 190025064 54072867 1000000000000000000 168013762 21840420 30787027 29959286 1000000000000000000 514656577 173040749 308214071 288089705 1000000000000000000 354445774 189271222 258068704 43289096 1000000000000000000 785268984 392404457 773345463 757668041 1000000000000000000 371042287 164056541 98348379 149951621 1000000000000000000 182928272 91752466 128867891 157012797 1000000000000000000 581750077 188516224 248862635 539831323 1000000000000000000 226793158 111072192 90013407 73869143 1000000000000000000 294192333 106824246 290997465 147271937 1000000000000000000 246643443 29362911 64147163 50263956 1000000000000000000 308088242 88248899 179047023 237629921 1000000000000000000 273264410 103277937 82836525 39615605 1000000000000000000 284217175 84562968 116623154 19715700 1000000000000000000 403125165 11298290 264105265 291279870 1000000000000000000 840428553 26491716 527166542 744417196 1000000000000000000 538622758 434415102 47437679 191701829 1000000000000000000 389018044 97874305 292122223 76772496 1000000000000000000 19881443 9552449 18764128 10491787 1000000000000000000 38724947 14436997 11394724 32025359 1000000000000000000 210250332 165764069 134872575 96069285 1000000000000000000 621012045 27573654 375069164 154118146 1000000000000000000 804930153 725911578 152102730 708841256 1000000000000000000 689150629 173757424 436310449 188484442 1000000000000000000 466920979 414163821 367851586 397435859 1000000000000000000 759059690 117264288 677066920 747159116 1000000000000000000 11312990 10731240 8537711 6129686 1000000000000000000 305839422 80579130 202006212 70365808 1000000000000000000 803785525 643053274 797725171 693103059 1000000000000000000 10157866 8854034 4116723 6962359 1000000000000000000 413317656 217533684 380392880 31581300 1000000000000000000 627542249 6250785 453504942 532699758 1000000000000000000 167023033 162877257 26021108 116383720 1000000000000000000 771806139 7201946 393358479 484536861 1000000000000000000 871463430 275173997 576260600 485764704 1000000000000000000 853904757 208934716 419007163 798936174 1000000000000000000 361215494 254442689 99837214 87470549 1000000000000000000 963418568 766198121 457633247 793171485 1000000000000000000 880065045 211073334 93550570 624017134 1000000000000000000 818531029 257890443 220424021 346202083 1000000000000000000 832749631 705107327 609686506 224044480 1000000000000000000 639980077 409983793 513668842 258532238 1000000000000000000 401165262 255131756 203364246 261592609 1000000000000000000 487355661 285745077 154936468 64412704 1000000000000000000 88860545 36154916 9478519 55339249 1000000000000000000 772110290 568117812 607608864 595910910 1000000000000000000 243159503 209829948 71384174 196576981 1000000000000000000 722539466 48088632 321604812 661681482 1000000000000000000 498651843 271654599 406937383 110555368 1000000000000000000 82423112 51700486 26485766 2298585 1000000000000000000 387922256 127686948 229197058 13350769 1000000000000000000 945462025 49628486 438630357 720920856 1000000000000000000 636531003 524214727 510761431 483343153 1000000000000000000 985224671 318732580 316292114 923113791 1000000000000000000 914019892 220859835 841479828 780001188 1000000000000000000 324956936 49398322 115749831 69643272 1000000000000000000 120173960 53834272 88727475 50129114 1000000000000000000 871524937 243882798 694217099 125616801 1000000000000000000 72502604 51168927 3360046 41382327 1000000000000000000 218432927 198266139 42384902 177283697 1000000000000000000 872402799 249367517 630475369 529375631 1000000000000000000 765601495 550757567 514606650 272633156 1000000000000000000 670608172 389693528 443283937 71524706 1000000000000000000 181137299 33686224 87965670 52235946 1000000000000000000 267488623 210318652 206185703 92421265 1000000000000000000 394828102 113737280 344910249 371765427 1000000000000000000 900466808 737537310 618642956 717916220 1000000000000000000 5536409 4958500 3656769 1572627 1000000000000000000 848533819 117310672 504182109 811885071 1000000000000000000 650381537 141242135 7294791 629054170 1000000000000000000 378243831 110200613 377063430 271741479 1000000000000000000 365788718 205239057 66645628 130207633 1000000000000000000 157773705 80427203 109851011 153706641 1000000000000000000 291540771 169979253 135965862 206395803 1000000000000000000 313990002 11584315 100050431 250182200 1000000000000000000 37891869 37754080 34372350 25861913 1000000000000000000 840444920 216037793 197642150 456854658 1000000000000000000 900490825 184613214 662960645 519100565 1000000000000000000 557466793 125314901 7161465 522452353 1000000000000000000 294463444 198780523 214777522 279778675 1000000000000000000 492705396 140140528 239016042 208063137 1000000000000000000 132747955 5363968 59037686 32802480 1000000000000000000 35241713 19211793 22403706 24629385 1000000000000000000 373605752 57929765 362934101 352313014 1000000000000000000 887387781 512031750 872457124 154149763 1000000000000000000 660223147 308115248 628173784 540067491 1000000000000000000 332607036 23228806 329601508 30479049 1000000000000000000 831684350 657778859 167586466 825505173 1000000000000000000 503372833 288148453 317107591 253022600 1000000000000000000 290561483 10764965 269719050 279026138 1000000000000000000 975112631 825486238 459385515 377129122 1000000000000000000 395334766 292885464 254319495 356250809 1000000000000000000 589091970 558458444 291236055 28986782 1000000000000000000 395807910 129447101 393814966 281575787 1000000000000000000 674418336 19333224 349922934 399782867 1000000000000000000 875550143 204652511 83155888 235174566 1000000000000000000 481868148 359686351 467870049 158412086 1000000000000000000 494842744 285577759 182348722 269626515 1000000000000000000 579559129 238976435 114729502 431593126 1000000000000000000 268405665 138689612 18191004 81264492 1000000000000000000 897361465 844083066 410047312 757709858 1000000000000000000 343271565 250326990 246608808 158090626 1000000000000000000 619302689 413349408 441374411 72058998 1000000000000000000 490174391 413927307 409063637 355799031 1000000000000000000 407745310 13666258 336238227 125829681 1000000000000000000 287300901 111654318 279343954 41721927 1000000000000000000 690444037 168601760 455448148 139343594 1000000000000000000 914065965 200499274 47121669 333617911 1000000000000000000 850491641 111232309 355977963 517563906 1000000000000000000 420035621 131976574 126882961 24349555 1000000000000000000 909371699 703291811 134022846 794413924 1000000000000000000 949944131 817850532 193550228 446911417 1000000000000000000 800591978 224860192 307823958 56486728 1000000000000000000 873921922 2917976 1473830 787614600 1000000000000000000 178458080 25342697 19825753 95581402 1000000000000000000 847407265 46333711 297689458 230024595 1000000000000000000 446522006 260689592 437428274 137663895 1000000000000000000 803059273 34636822 342536741 442807769 1000000000000000000 177161773 50840266 82140663 50728090 1000000000000000000 164485190 38778958 137604513 146926559 1000000000000000000 749865364 154165308 508728230 593268182 1000000000000000000 314361375 200275838 290523200 161072986 1000000000000000000 632481840 261226874 66483096 572513686 1000000000000000000 493469246 64986151 362277026 490623614 1000000000000000000 106998375 75751315 25122571 54348316 1000000000000000000 267387932 58000481 165629851 136756225 1000000000000000000 741252213 669707144 385096005 117940298 1000000000000000000 881657503 683081145 654812698 717390603 1000000000000000000 69119767 42447727 36618334 53565418 1000000000000000000 350060959 14902829 100364562 92857705 1000000000000000000 736296487 370131315 288717084 355599894 1000000000000000000 235294058 145796508 79566803 231201729 1000000000000000000 340094541 50130564 278991553 154711925 1000000000000000000 217999868 195144690 141613306 174350496 1000000000000000000 880064007 738979085 127593369 167554715 1000000000000000000 791538636 8966406 447751938 88624208 1000000000000000000 102334609 65212419 19634883 44996540 1000000000000000000 212135755 37458335 154041764 2164977 1000000000000000000 93108972 5495974 60668193 74049947 1000000000000000000 244258084 19971783 94654861 61533544 1000000000000000000 949865761 317032807 476982691 742721172 1000000000000000000 588027476 354756441 165157846 500009711 1000000000000000000 81181944 15666888 78228254 79944449 1000000000000000000 640335512 535577255 376841958 338631510 1000000000000000000 101649790 52273925 95825053 60433233 1000000000000000000 705701466 58872337 415578493 331922059 1000000000000000000 835967316 39903757 676068095 259636648 1000000000000000000 478538324 242181017 49209034 131111594 1000000000000000000 779959292 100401404 444115059 406235722 1000000000000000000 924439286 915341274 265106679 703947302 1000000000000000000 284891530 275097056 41888554 130041889 1000000000000000000 696547340 84060626 587780188 153957443 1000000000000000000 400120512 359130858 396839984 389725806 1000000000000000000 407761935 86768788 106018667 53843527 1000000000000000000 560695535 328991679 540920241 556859356 1000000000000000000 784098969 651461401 601318391 243783308 1000000000000000000 385066615 195513851 333901763 43424011 1000000000000000000 490442915 357633775 409651994 219121835 1000000000000000000 994090516 506504112 875952569 267650931 1000000000000000000 801912597 300786219 494382448 400456717 1000000000000000000 759190756 569549033 446055938 524785132 1000000000000000000 840619981 692825025 746467840 726358480 1000000000000000000 509358403 102759335 65517601 455410815 1000000000000000000 448583156 312323643 251891107 87321827 1000000000000000000 767945608 75819950 194809712 114388715 1000000000000000000 238509991 3780646 65812726 136977236 1000000000000000000 819481493 744459971 538262494 251914294 1000000000000000000 918160821 171929311 199109059 803976467 1000000000000000000 645610466 196094901 386305154 191057387 1000000000000000000 570484581 249332469 11820668 94907050 1000000000000000000 832672915 383873391 697249895 429688194 1000000000000000000 740924789 472667230 705263666 400731789 1000000000000000000 408804819 8908963 51200801 180344395 1000000000000000000 652321037 284572143 280037228 545218119 1000000000000000000 871812961 248823591 160742305 622628788 1000000000000000000 32599628 8201136 10435440 21602851 1000000000000000000 138581762 85518344 65689217 116441758 1000000000000000000 269291974 254579828 126378988 44904247 1000000000000000000 758289947 235210806 653779375 422255837 1000000000000000000 284632101 84309978 147577454 101598305 1000000000000000000 427574134 4694036 98059418 142297888 1000000000000000000 865150369 240037092 344491078 792749720 1000000000000000000 1168887 216558 160590 399606 1000000000000000000 662929891 234468745 177030997 204725826 1000000000000000000 278135595 80815337 175986158 255806001 1000000000000000000 989673672 700009619 391517821 988892557 1000000000000000000 61634773 49488206 10189633 25551942 1000000000000000000 779709687 72071328 158684993 27179112 1000000000000000000 446057609 339752758 307816929 385267131 1000000000000000000 43859590 1657030 3429912 622723 1000000000000000000 436291089 364997619 88550213 255062525 1000000000000000000 744245632 496490133 355416050 587123387 1000000000000000000 826917998 566437302 203092325 189234823 1000000000000000000 16646505 165727 15542774 9066619 1000000000000000000 891335440 110676456 666289715 408206813 1000000000000000000 970863028 734838205 764760974 625065689 1000000000000000000 876237977 456917354 450107349 619043654 1000000000000000000 125776944 86641868 57104953 79644162 1000000000000000000 804608335 474066093 456277594 298536571 1000000000000000000 261585053 175985372 18313474 147960426 1000000000000000000 542859901 26856311 189964846 73168590 1000000000000000000 657875735 216573764 352574649 497355642 1000000000000000000 252701045 79798801 248749168 247236727 1000000000000000000 290533675 65358852 242830443 252796911 1000000000000000000 300904599 185890189 10599146 104794386 1000000000000000000 597573110 251245602 447831605 254857901 1000000000000000000 635328150 173514608 413426166 198642909 1000000000000000000 821897995 482806608 333948808 333735757 1000000000000000000 53620462 30297285 40396176 26092635 1000000000000000000 718741582 489352623 564379233 216378112 1000000000000000000 990184806 708122940 388839018 569740679 1000000000000000000 165709684 124229933 93340602 99750901 1000000000000000000 423352049 223404728 183801858 275505649 1000000000000000000 86780587 5909547 11575275 72059148 1000000000000000000 36612626 9209724 28350613 35645402 1000000000000000000 269711857 232113685 6560826 148627660 1000000000000000000 122568505 85507018 108738396 89555526 1000000000000000000 327111580 54851353 109651497 308842359 1000000000000000000 16353655 13017367 4355842 13385913 1000000000000000000 781045271 617338980 667388517 712789527 1000000000000000000 593368038 581455091 484113539 86907592 1000000000000000000 318097670 20834713 132598341 144460167 1000000000000000000 762590321 24632187 365405230 663213675 1000000000000000000 72541477 62346046 65165978 26690145 1000000000000000000 423945526 44384456 265397139 187155206 1000000000000000000 319323496 121414995 120192174 49864550 1000000000000000000 890974286 284831978 774995817 46956337 1000000000000000000 132864575 101993965 14593901 121366497 1000000000000000000 234209513 41616648 29950390 177422082 1000000000000000000 329986338 147800444 93530724 117772890 1000000000000000000 367809595 269281562 361165268 38905029 1000000000000000000 418079925 87948163 101061385 344777381 1000000000000000000 654357770 291931120 416138289 553522863 1000000000000000000 370860734 349291016 349936733 236953309 1000000000000000000 618784867 289657028 214642593 34569266 1000000000000000000 834217905 499753605 94996086 825536791 1000000000000000000 830789320 488461647 455777120 565908228 1000000000000000000 205766393 90916826 18658283 60914787 1000000000000000000 701201016 90173766 253377827 167290205 1000000000000000000 809739459 314402247 569196571 83324304 1000000000000000000 412101588 114785519 358529800 187884960 1000000000000000000 978958230 826649512 912804394 467017602 1000000000000000000 212763324 31301567 133592464 63766235 1000000000000000000 572262538 69692297 498667217 161981157 1000000000000000000 543209890 305171162 201202878 427389929 1000000000000000000 330671950 271155664 68774634 307582474 1000000000000000000 158743673 28104503 116371401 36174844 1000000000000000000 326826399 286264046 32127440 1222794 1000000000000000000 918655254 323904459 902222258 771643950 1000000000000000000 111752977 31304529 8881888 81025573 1000000000000000000 433816320 26954424 18214571 194444426 1000000000000000000 865432981 632813951 608934523 656073613 1000000000000000000 604276300 301099776 345880517 124326796 1000000000000000000 79941627 68366829 9950128 62984149 1000000000000000000 995117382 986266132 520453098 863676232 1000000000000000000 462916034 446153878 402327532 83803368 1000000000000000000 840988946 86184819 708516858 368548953 1000000000000000000 143003938 34900592 9096679 84498850 1000000000000000000 251587207 125690644 141375681 185788721 1000000000000000000 568707749 348693003 91568493 279847827 1000000000000000000 183291283 40659511 167289428 74554829 1000000000000000000 702864209 700845769 660308633 149494669 1000000000000000000 515106256 420288186 6862757 11069666 1000000000000000000 455784964 290617849 76955193 178588565 1000000000000000000 351662480 39654296 125062045 68300047 1000000000000000000 687800140 230472059 223093567 413353087 1000000000000000000 626081603 207388065 208821734 162697263 1000000000000000000 348450081 267854917 244959259 78783421 1000000000000000000 56768449 19219144 10880327 47750690 1000000000000000000 470522242 382244685 443665578 65285893 1000000000000000000 737233580 608412036 348488070 689597020 1000000000000000000 747684487 566774591 381166713 731028672 1000000000000000000 897299932 10040028 645150777 232132339 1000000000000000000 921331493 176384371 686185327 732095976 1000000000000000000 377801745 230226952 164847071 101334051 1000000000000000000 385907036 161303698 23305995 202825033 1000000000000000000 250421485 22798009 52099508 305875 1000000000000000000 405983000 177223837 178788805 131391349 1000000000000000000 463378912 361800488 175982481 425548477 1000000000000000000 265684943 4754050 145877962 150499826 1000000000000000000 17555436 14349967 7263546 9866449 1000000000000000000 182594328 179663825 99360497 79907902 1000000000000000000 427323452 394325918 402755673 119963410 1000000000000000000 935408443 904009982 663179805 605592105 1000000000000000000 729942510 702801330 669343193 575671123 1000000000000000000 922061681 470326394 903555665 883112755 1000000000000000000 654134030 103978210 399387500 132913710 1000000000000000000 40685823 29252107 11326717 38982784 1000000000000000000 245571016 105489866 138368096 79180344 1000000000000000000 917606042 528548870 234287083 625669337 1000000000000000000 750266709 415344355 118832616 680345614 1000000000000000000 180653333 35916440 14255719 113375330 1000000000000000000 685059216 115943213 300278756 137628712 1000000000000000000 83364254 56324563 50047116 36797202 1000000000000000000 652274732 368956507 562791831 547593765 1000000000000000000 504645228 339683406 169202802 447424181 1000000000000000000 222648689 131991718 125353475 133172088 1000000000000000000 372194246 310718727 245283097 247983783 1000000000000000000 694281487 313148071 692037743 162954498 1000000000000000000 471927090 324748129 192803985 87043468 1000000000000000000 822885582 784348440 142051072 43657175 1000000000000000000 118016808 75978081 108302837 76221897 1000000000000000000 722802881 500386162 415031393 346421498 1000000000000000000 415493021 118559874 355674973 151802342 1000000000000000000 25658815 24232557 19447306 23612624 1000000000000000000 851945841 575859035 579005363 357234368 1000000000000000000 639790019 142728248 68287328 14069822 1000000000000000000 279122866 252099568 142404877 147941193 1000000000000000000 515748434 412700911 339504906 330703410 1000000000000000000 401626223 80613189 198190556 69478434 1000000000000000000 845220315 137429662 334566642 269912814 1000000000000000000 254275277 75630408 72469864 120346662 1000000000000000000 270776449 150100916 185940497 157129470 1000000000000000000 172162214 35447527 125901385 133838932 1000000000000000000 665775286 503440723 218515042 132577353 1000000000000000000 507845583 69922061 281110126 180999362 1000000000000000000 285343098 94301809 186606697 100102607 1000000000000000000 674781218 131253490 413017228 64315290 1000000000000000000 628492413 538006210 416066656 360143559 1000000000000000000 833332996 486289111 40430266 503125521 1000000000000000000 133284652 47884313 77355595 88743105 1000000000000000000 127939388 36448939 46936022 20371529 1000000000000000000 512178973 508000576 431661746 418865968 1000000000000000000 879383867 344648520 521007907 555564664 1000000000000000000 727052138 365497630 309604079 234873368 1000000000000000000 43898135 43553423 31663551 42225649 1000000000000000000 875566809 357294364 12319226 88495538 1000000000000000000 838806525 27652084 543797652 540465103 1000000000000000000 721965640 709931100 285490072 557388591 1000000000000000000 343252877 127879810 331249840 118453300 1000000000000000000 612116729 49487639 240004175 243813952 1000000000000000000 487945986 218622544 200351907 184355593 1000000000000000000 647000366 622305149 634012562 48825628 1000000000000000000 675999497 207936322 52858096 505502643 1000000000000000000 856269009 515280262 831652527 730643094 1000000000000000000 169861469 54470469 147965267 39857271 1000000000000000000 773674930 239987287 591500418 667923529 1000000000000000000 925893399 778619938 350739188 295982291 1000000000000000000 97914744 73206913 46409873 4063693 1000000000000000000 271417392 107633222 101390728 104390973 1000000000000000000 231752877 122753560 26125476 124580660 1000000000000000000 888643395 336335483 434501966 90039224 1000000000000000000 785282867 740768708 176281168 322381067 1000000000000000000 183784800 33980242 159157965 125411685 1000000000000000000 268864434 155588370 43672167 57658545 1000000000000000000 897252607 495677297 155581590 416446298 1000000000000000000 277899641 65594245 101569960 109608983 1000000000000000000 303891229 227076530 183678080 219714210 1000000000000000000 571122958 118641058 197943775 348041444 1000000000000000000 447274396 373470272 405368445 232261378 1000000000000000000 535373466 31288502 202253522 60757139 1000000000000000000 788129461 81900050 331257025 48576057 1000000000000000000 982498633 195317780 102395737 113965823 1000000000000000000 622048965 399110197 612316752 247675408 1000000000000000000 360105510 267651564 352361342 188130830 1000000000000000000 294985726 55554999 291547320 63824200 1000000000000000000 797608272 341602212 460945290 519500619 1000000000000000000 397874870 286553443 172732383 70884068 1000000000000000000 229726694 13069533 9668435 197703857 1000000000000000000 163087987 46959971 126382710 30719124 1000000000000000000 561776436 134802481 467363927 108323105 1000000000000000000 125456385 50761767 74941737 26721179 1000000000000000000 676033106 366761971 354451118 585643433 1000000000000000000 931962711 553013566 321107300 542065502 1000000000000000000 809133086 227303834 691174892 275876782 1000000000000000000 151004823 25624056 78588590 84451538 1000000000000000000 803862780 273978026 734922056 532326571 1000000000000000000 551981422 409785262 115305577 167005911 1000000000000000000 650096832 335827800 636262118 622764652 1000000000000000000 88452225 51073250 3439392 77057673 1000000000000000000 559913587 288132957 358443972 115036599 1000000000000000000 800046140 147318062 799098788 517483349 1000000000000000000 605238769 494267927 439334030 513491548 1000000000000000000 930402324 40034751 173128022 669422146 1000000000000000000 129827752 124474997 83147630 102853463 1000000000000000000 170190527 35862229 109141363 110842169 1000000000000000000 807746036 391784690 786673954 566025097 1000000000000000000 718669273 217993114 476354811 240627824 1000000000000000000 971597379 624233360 14362028 947070085 1000000000000000000 598506767 66578295 76700240 103917899 1000000000000000000 656776002 50878307 344846875 26929970 1000000000000000000 543468912 51670368 23622220 532903618 1000000000000000000 794187407 144694703 569202305 168203379 1000000000000000000 477169575 259149108 242073137 438551714 1000000000000000000 46667549 29099047 35177132 36176269 1000000000000000000 975200944 709033981 953157852 443117251 1000000000000000000 777492919 391567092 532387817 141416841 1000000000000000000 597079918 134119436 83322054 452858904 1000000000000000000 903489352 787642062 676177187 894871067 1000000000000000000 733359052 649955245 144422722 81373685 1000000000000000000 684417526 280758488 449923102 441615285 1000000000000000000 248361639 240123574 233405329 141887031 1000000000000000000 39428221 25218080 12739081 22468929 1000000000000000000 504963368 6181411 134292655 302804569 1000000000000000000 496944010 400398181 109899062 343144870 1000000000000000000 628542335 169248616 177799800 98657719 1000000000000000000 351464667 71394345 222748052 268655522 1000000000000000000 858679934 203366032 782608174 237781225 1000000000000000000 745765365 440089490 289404711 702298143 1000000000000000000 564882840 445679204 126768901 198347641 1000000000000000000 606102330 396391677 22631983 367473054 1000000000000000000 249006126 201864244 110800742 36337609 1000000000000000000 326957861 144960378 146736925 227469816 1000000000000000000 696439300 253154398 673938253 298836532 1000000000000000000 801760852 569733722 728888451 370922490 1000000000000000000 896778268 740188407 638220704 385277473 1000000000000000000 703870442 416722168 667727918 693459366 1000000000000000000 113192822 33141401 29868700 38255584 1000000000000000000 266090930 24661095 100394824 50142991 1000000000000000000 827696336 575280464 736550186 644088829 1000000000000000000 10368919 1202332 3737255 9886226 1000000000000000000 359139742 339378453 224429339 358161484 1000000000000000000 7530004 5407923 5603105 6693080 1000000000000000000 901634275 799158454 169678037 35353594 1000000000000000000 593870850 384151176 513488539 489150638 1000000000000000000 42795786 17878420 2872767 34258099 1000000000000000000 151956445 13893454 116980382 148455302 1000000000000000000 909077466 656655074 397454299 385423 1000000000000000000 710959571 6833501 503057920 505604460 1000000000000000000 553643809 132624294 531444016 249867569 1000000000000000000 257289213 235359753 235973927 248615228 1000000000000000000 625642935 199034736 216537360 596679345 1000000000000000000 784679713 461219526 396332189 214034705 1000000000000000000 692861479 464735112 541988143 557145901 1000000000000000000 655207632 375643125 594827018 517545449 1000000000000000000 163922891 46966070 108757201 126638321 1000000000000000000 271624253 240202941 183675342 147772697 1000000000000000000 124997953 17597754 72768399 31889682 1000000000000000000 423630973 156875479 113666789 218161938 1000000000000000000 675852303 472032919 498649954 421990348 1000000000000000000 468700247 336035358 312212195 297240066 1000000000000000000 866680002 743550313 496205191 401947708 1000000000000000000 203268942 19404556 80279251 159680713 1000000000000000000 599585463 577543023 62458634 457567044 1000000000000000000 662539637 428424694 246792046 362006590 1000000000000000000 728989340 7366394 38515905 333590812 1000000000000000000 457411395 356347257 332979566 416968632 1000000000000000000 276857365 31093883 166207400 123740226 1000000000000000000 582574517 347180322 512402990 131472317 1000000000000000000 920462219 454821458 481067922 422141015 1000000000000000000 720409917 190920735 80814769 234765979 1000000000000000000 51150323 49492012 51088009 4605009 1000000000000000000 15820909 5330377 8455460 6780526 1000000000000000000 540691147 75467809 262720753 336857805 1000000000000000000 230576908 139042680 1469713 7750987 1000000000000000000 576645682 533448091 483620439 2775410 1000000000000000000 667572635 405849632 551102950 163942247 1000000000000000000 408468701 193600277 134014172 33110277 1000000000000000000 821468320 21485826 649157185 131178300 1000000000000000000 536416942 149666411 205148694 153820878 1000000000000000000 550969477 368636797 260054389 139614465 1000000000000000000 573910748 411430190 561984309 99187476 1000000000000000000 433729492 112097382 112792445 28674186 1000000000000000000 420426986 188989349 378234396 54820251 1000000000000000000 102193943 70475407 78362269 91793974 1000000000000000000 703662013 15334165 699714139 349977591 1000000000000000000 498832714 468148201 132456476 432453503 1000000000000000000 727621464 540239639 332466192 704369212 1000000000000000000 270923325 8832326 106152136 85604976 1000000000000000000 82129950 69816517 58045756 12538562 1000000000000000000 564313355 535652212 436380749 362055030 1000000000000000000 313625540 297598357 161841332 295453268 1000000000000000000 761554521 524634197 522699 452293992 1000000000000000000 710047771 622693239 19352546 196022080 1000000000000000000 933816701 907742240 835003644 442271993 1000000000000000000 587046288 138032002 219094622 545827740 1000000000000000000 894193100 449740523 618864244 786349638 1000000000000000000 517475783 212664320 192583039 299335551 1000000000000000000 305705040 264151546 100810981 192012561 1000000000000000000 889806693 77771421 296584662 266154178 1000000000000000000 247547359 152008053 115441987 228626824 1000000000000000000 439688309 79171425 383075413 370216195 1000000000000000000 452594308 371394657 336223403 280368321 1000000000000000000 308592541 8431604 226904562 126547006 1000000000000000000 856815503 251962101 658641210 424467803 1000000000000000000 712400280 297299990 571829265 87004287 1000000000000000000 918777120 386984317 774616637 4860161 1000000000000000000 197196401 30702787 102979304 71747977 1000000000000000000 481017757 415783477 100638711 81442875 1000000000000000000 321666711 163407268 100479694 237156924 1000000000000000000 910623701 815483170 130136170 86135392 1000000000000000000 651733991 338181399 190426728 428231101 1000000000000000000 625994920 327089014 195013445 141191283 1000000000000000000 546124976 263902936 121786491 82314626 1000000000000000000 664626934 306157565 295076592 517377739 1000000000000000000 335541232 317415505 119340005 53900808 1000000000000000000 682296824 479931989 296401276 653645625 1000000000000000000 670690757 483181073 208049007 604377420 1000000000000000000 51959595 1062687 51116516 23817450 1000000000000000000 77074471 43475435 55334006 68642055 1000000000000000000 845714765 533814152 213420861 70748992 1000000000000000000 137256426 61447638 54282944 113251591 1000000000000000000 91977921 15631652 4867050 85284686 1000000000000000000 575396449 363443877 148173172 26421256 1000000000000000000 724790294 361709148 509281865 93869870 1000000000000000000 26318823 1727367 3916879 14198689 1000000000000000000 140758288 23733365 75317520 96884463 1000000000000000000 706447635 455026769 376471724 233164428 1000000000000000000 216001229 31736322 34924898 115829711 1000000000000000000 208575028 174511787 26908654 20063080 1000000000000000000 296924267 253052885 252188612 143695715 1000000000000000000 511759126 431325157 371902327 419757184 1000000000000000000 942331200 468159169 145274991 565817722 1000000000000000000 38317599 36688439 5879123 14935750 1000000000000000000 405426294 299456983 203051014 150275127 1000000000000000000 428212515 321227954 93366994 191964457 1000000000000000000 193959982 86204668 47467811 164079912 1000000000000000000 624205842 535172923 165432391 512701926 1000000000000000000 60724913 24724679 40685747 5536824 1000000000000000000 942224278 341278770 147055572 509896682 1000000000000000000 297913123 207109382 215035260 219586333 1000000000000000000 762249374 187844327 248760807 488054557 1000000000000000000 175223756 11470149 41731338 54363446 1000000000000000000 393452516 174636813 164526920 105231209 1000000000000000000 606632478 268202873 581971326 32573353 1000000000000000000 17410835 1007908 9651049 15539221 1000000000000000000 129613327 28941235 90067979 12782100 1000000000000000000 732339071 396458934 369416519 312734358 1000000000000000000 675113097 339401237 523181273 104391902 1000000000000000000 477617638 432843326 368535186 126160524 1000000000000000000 270577710 174776020 225921456 268960369 1000000000000000000 446500142 92823103 132018526 70617902 1000000000000000000 950357652 673101533 854127421 153748241 1000000000000000000 41182777 37510905 25071452 22449394 1000000000000000000 336773745 322022087 18529213 240008930 1000000000000000000 530774858 283762956 122965335 26650678 1000000000000000000 92165495 3210648 49186149 79284340 1000000000000000000 46419115 718620 40070360 22589589 1000000000000000000 603586262 81270668 517624998 593694526 1000000000000000000 790069451 408475854 282582931 696532145 1000000000000000000 567548318 255984338 458012736 191235521 1000000000000000000 596907834 544410593 37573562 419628180 1000000000000000000 732543622 236858383 207391789 724643564 1000000000000000000 899386818 465258164 342864494 232689795 1000000000000000000 4320664 1861720 87811 428427 1000000000000000000 470831297 117689443 214215435 389708974 1000000000000000000 768266184 506211982 269321082 260856133 1000000000000000000 131749225 47862490 78770263 107210612 1000000000000000000 851019892 489824110 806035563 457482119 1000000000000000000 759730300 219827652 534886620 601233845 1000000000000000000 197044125 131265768 52045014 144979186 1000000000000000000 384616037 377773357 242645798 77368233 1000000000000000000 270837506 37997332 196579073 250117123 1000000000000000000 22307283 18284379 11523089 2659273 1000000000000000000 445370120 146739492 73182532 137754031 1000000000000000000 622970238 492808462 533700945 27080015 1000000000000000000 433404546 277833657 365612056 55665513 1000000000000000000 881181341 131796278 865221303 642437916 1000000000000000000 79728323 39777426 26740220 76469222 1000000000000000000 471188306 454503516 209424444 300282838 1000000000000000000 354881766 69408873 309472773 328183021 1000000000000000000 167392098 61546987 48287981 9157184 1000000000000000000 760631634 156805644 235883600 189962231 1000000000000000000 657763120 301444643 170016274 512594051 1000000000000000000 775530824 437131432 539249218 47971298 1000000000000000000 74216464 30147152 15272944 31573213 1000000000000000000 76717116 60110426 35166788 3757697 1000000000000000000 812252923 473662198 512697779 631587616 1000000000000000000 904765697 419928021 578441706 550371978 1000000000000000000 974899719 585383370 570544633 129474111 1000000000000000000 833240373 128393997 491250034 72452294 1000000000000000000 911640622 394792565 821929774 441734218 1000000000000000000 206230467 1748244 105505330 50273269 1000000000000000000 617499932 457963855 447887218 265375444 1000000000000000000 29084140 9216557 13836918 9428517 1000000000000000000 176393116 56006528 156142264 103246568 1000000000000000000 882386880 352989715 669814636 220690080 1000000000000000000 154386486 15022833 112946471 74027184 1000000000000000000 723282718 98475862 43706923 501247757 1000000000000000000 266389313 211103313 255238970 120284686 1000000000000000000 877144804 3170403 348378146 546177222 1000000000000000000 253884664 98273673 58242430 212480210 1000000000000000000 738928961 321087318 372451907 325762875 1000000000000000000 122339476 57391127 88555295 113088542 1000000000000000000 235253492 57057224 12709449 49400745 1000000000000000000 788557283 646278972 108715972 324211946 1000000000000000000 722938886 37637636 194547339 577815260 1000000000000000000 924658696 15894155 258948583 325449542 1000000000000000000 822596704 124380750 495215512 514714487 1000000000000000000 961123422 558862516 657202316 517199733 1000000000000000000 225613367 20791897 167080624 165964924 1000000000000000000 495456369 296715985 28694854 394040865 1000000000000000000 372023770 235840066 212946363 303900444 1000000000000000000 452327827 219800814 141577337 116467096 1000000000000000000 832595445 502088871 536653126 231847729 1000000000000000000 295996300 255742034 151035208 241970367 1000000000000000000 56576932 25367192 16982003 13426500 1000000000000000000 293987336 82817623 177856648 171881924 1000000000000000000 847737594 238576387 689033044 676492551 1000000000000000000 23568522 23474221 19383122 23359412 1000000000000000000 173137209 113612962 57496387 160196551 1000000000000000000 725970391 453257043 66930863 461493551 1000000000000000000 312500490 86823669 67837687 285116548 1000000000000000000 657732778 635279869 65626649 351433419 1000000000000000000 2222876 1672813 1217347 852655 1000000000000000000 226436567 124240165 100865251 55675907 1000000000000000000 724062722 540241041 516819397 633789627 1000000000000000000 820135804 198584223 174005245 112195180 1000000000000000000 787335830 284090172 629429592 552188256 1000000000000000000 713305746 310874511 682413594 188694816 1000000000000000000 31140296 17496638 14198361 28863385 1000000000000000000 596442369 119761832 400911564 73385987 1000000000000000000 33379548 2192581 16163373 4192090 1000000000000000000 408902597 17752313 259925583 195248344 1000000000000000000 608405588 185400356 327363697 466321519 1000000000000000000 340557220 195986403 203789846 207281838 1000000000000000000 501182769 91834866 268319786 131329902 1000000000000000000 958225911 44267546 604767426 533987174 1000000000000000000 697614706 326450809 355776509 135244535 1000000000000000000 287322450 140623115 95988252 227617281 1000000000000000000 547848272 286248488 130121884 533685684 1000000000000000000 210393235 157428465 6217367 182092909 1000000000000000000 501366116 159820930 223802086 383294723 1000000000000000000 603016138 117573336 579687500 283248141 1000000000000000000 169156769 158481661 124140557 50833355 1000000000000000000 171315151 6894396 46927891 75397635 1000000000000000000 36832966 36455895 7496105 14475085 1000000000000000000 381930643 95811833 342133483 120663954 1000000000000000000 860930355 427813378 724526966 190075078 1000000000000000000 420349523 268796492 414812613 183129033 1000000000000000000 141171340 47714076 17048196 83104770 1000000000000000000 487637570 371281565 467203153 83124122 1000000000000000000 842038830 454452272 664524184 187009931 1000000000000000000 265613852 156137007 139373626 64339182 1000000000000000000 56398334 43798764 54846140 44953681 1000000000000000000 266431890 125285904 49909214 192530445 1000000000000000000 414906355 65892114 176181931 124661249 1000000000000000000 123519306 113818033 57911541 5855347 1000000000000000000 96927609 35665898 89458495 52841680 1000000000000000000 343086313 54126383 17994356 183969676 1000000000000000000 770056190 64700103 702753980 31634913 1000000000000000000 983324524 303807922 676156787 975511358 1000000000000000000 35246344 27214188 29301098 9513301 1000000000000000000 144387860 40439982 83496407 108763120 1000000000000000000 52383281 4149345 50766375 45351058 1000000000000000000 684143681 274947342 538011096 245064966 1000000000000000000 242579498 12974003 170936811 174045890 1000000000000000000 581430521 324690657 407156195 574294840 1000000000000000000 42204710 28186836 19067913 1479686 1000000000000000000 135757372 126097800 89920640 59643890 1000000000000000000 207283191 153471143 204557963 39898488 1000000000000000000 127772577 59954996 79157681 24923365 1000000000000000000 859347087 248222859 537883107 769190142 1000000000000000000 692290040 580324819 134102255 31923299 1000000000000000000 420031479 364554809 233861835 299976325 1000000000000000000 674740120 541682100 488859895 459370638 1000000000000000000 35669495 25620970 22736602 12791962 1000000000000000000 82130970 25899857 81749663 58887143 1000000000000000000 140024264 139634187 3141094 64238863 1000000000000000000 519696161 342248644 212432221 65607114 1000000000000000000 902410636 791836751 483457064 445990270 1000000000000000000 702659228 473444033 55575422 633097933 1000000000000000000 993695703 22321235 434662475 460017624 1000000000000000000 697817034 562546969 276465917 54964028 1000000000000000000 452574935 329742648 320512417 331912519 1000000000000000000 703110397 526446156 627000098 154980339 1000000000000000000 793788697 598660602 601234175 511945934 1000000000000000000 787881338 763581545 471916507 331371470 1000000000000000000 889555972 46369342 586332155 86757203 1000000000000000000 836363278 82006503 559834115 464060331 1000000000000000000 897664565 302853596 753102836 758752103 1000000000000000000 353353454 9435968 38679727 210639510 1000000000000000000 914765295 31972218 480947942 384639589 1000000000000000000 614902483 285203264 365100972 61460655 1000000000000000000 108766965 40827254 47277801 58501630 1000000000000000000 652334882 225049564 584599987 474694261 1000000000000000000 673677723 216008031 529461685 116261125 1000000000000000000 176879287 163246480 105542691 78104694 1000000000000000000 497863535 86830494 130296920 256053521 1000000000000000000 744119256 261555504 165514875 464777387 1000000000000000000 993866370 462286006 866665028 927291242 1000000000000000000 81531196 74945927 6175056 8894009 1000000000000000000 367573117 189789434 135695261 295858560 1000000000000000000 972285878 420837597 689715712 491844074 1000000000000000000 142782579 106484400 108457559 99778244 1000000000000000000 480236875 311930926 391221869 445954946 1000000000000000000 110551861 21398526 92436288 36650676 1000000000000000000 717400077 470963407 386366645 106345646 1000000000000000000 287590961 103818906 158581511 66236191 1000000000000000000 676687535 549238138 283385513 115094082 1000000000000000000 853771850 814031813 394332276 499147994 1000000000000000000 454053631 377184539 309250844 2597491 1000000000000000000 70633338 41773768 13911493 17857051 1000000000000000000 245742889 211618910 233815962 80162472 1000000000000000000 434344877 283423936 344228606 326113099 1000000000000000000 745594447 93146853 663130385 275292359 1000000000000000000 714505957 117860033 498267736 31092253 1000000000000000000 60841700 49234743 42731814 56767793 1000000000000000000 477434172 217027432 12506443 185657657 1000000000000000000 509426081 282595598 42121337 257177897 1000000000000000000 714422096 396354006 308406364 684717270 1000000000000000000 774971529 595707841 661179685 91129945 1000000000000000000 485468481 304078642 257771043 69411063 1000000000000000000 222765878 132225145 158554622 27049571 1000000000000000000 399532869 65584623 289393043 371563879 1000000000000000000 747255333 700071596 473206642 163964729 1000000000000000000 498331222 382487425 13396709 494027969 1000000000000000000 636596524 588723494 261269267 329682123 1000000000000000000 55414569 41675985 34673081 19910394 1000000000000000000 833162649 467707536 730125595 597468276 1000000000000000000 386011471 327046746 255557452 230316694 1000000000000000000 983060584 499311480 139026130 732558631 1000000000000000000 860305196 419149872 210229750 552157996 1000000000000000000 747110474 737431183 658265298 460501107 1000000000000000000 912903355 245344128 262868646 593103058 1000000000000000000 738195425 9834088 359636825 371894576 1000000000000000000 186492207 46731676 144255691 179891308 1000000000000000000 540980430 35947801 218511769 309910466 1000000000000000000 948899373 439736486 931308710 299121700 1000000000000000000 471225737 445648120 430462842 245272865 1000000000000000000 599508004 318327285 149380076 51029688 1000000000000000000 545652876 44576154 529008693 236457606 1000000000000000000 967322896 700241504 456619617 562078678 1000000000000000000 126670975 59297640 68604003 81763646 1000000000000000000 444386796 106194370 361659222 310229228 1000000000000000000 762076869 294446683 108474291 93123462 1000000000000000000 291263938 199386684 138973742 99303481 1000000000000000000 736602680 701446312 471568157 115176600 1000000000000000000 584396240 108504560 502219132 148774616 1000000000000000000 504487005 91367240 210526059 474270368 1000000000000000000 220936061 73972818 108737840 149580219 1000000000000000000 313649037 76247333 251941136 274851281 1000000000000000000 693060214 47995157 318176548 172029164 1000000000000000000 899817480 186336552 300452172 269606163 1000000000000000000 449678830 357950732 35682707 32818183 1000000000000000000 63298579 55435341 49558313 32720240 1000000000000000000 320659193 257430939 234634416 254992212 1000000000000000000 900684110 712230972 143628113 180784425 1000000000000000000 701393661 343789551 586139426 569434268 1000000000000000000 75098444 32018487 54515439 32276508 1000000000000000000 169362118 89650093 33541138 134168962 1000000000000000000 406631254 47890637 251434148 47587744 1000000000000000000 633051731 434677056 175010067 118327731 1000000000000000000 653394580 191897153 143341588 484995439 1000000000000000000 132004474 75492642 89964909 69719974 1000000000000000000 244240990 145964271 82594320 5688726 1000000000000000000 204977602 19300806 120942749 74003039 1000000000000000000 259054060 199671949 11873960 227657471 1000000000000000000 48739250 40538131 6490034 17125252 1000000000000000000 343851789 191199932 322762909 181774824 1000000000000000000 866419885 242373698 282411607 864682849 1000000000000000000 36789643 34277841 14411179 21455151 1000000000000000000 197811235 68571794 185499443 164264872 1000000000000000000 894484908 656584543 593362290 84839014 1000000000000000000 841731857 770690349 735622842 645448938 1000000000000000000 494552042 283002630 127684207 414496353 1000000000000000000 440500456 4008481 44988587 140630006 1000000000000000000 331394516 285033235 206154765 16033690 1000000000000000000 16087010 10440017 12672826 15857674 1000000000000000000 767046453 124763242 29531432 540399842 1000000000000000000 242040550 35379762 191322595 31814360 1000000000000000000 444744481 414057043 78169370 120849474 1000000000000000000 951738071 321781285 289051538 464363788 1000000000000000000 500203904 221316102 336995374 319024570 1000000000000000000 339278900 5624423 127372964 103861358 1000000000000000000 192434062 86667632 88156209 124664117 1000000000000000000 12417704 521264 9045668 10043274 1000000000000000000 479252584 374162980 213374689 320742779 1000000000000000000 946444791 115699852 320016937 446269181 1000000000000000000 535508907 517555676 407022045 218904091 1000000000000000000 987150447 118011062 452233022 297016991 1000000000000000000 540101090 187848759 173965407 131354298 1000000000000000000 308444662 34138065 5917542 92044248 1000000000000000000 523277944 509470964 460257218 242846355 1000000000000000000 775059367 287844665 195271951 550004378 1000000000000000000 305014860 1775245 56136095 274758307 1000000000000000000 999955425 81234390 623759393 992113562 1000000000000000000 543934538 273360800 206029872 234759689 1000000000000000000 662175907 242266063 548784391 401298972 1000000000000000000 128338686 3937272 83361415 64066599 1000000000000000000 92961035 5381783 67514969 30879491 1000000000000000000 975864518 449449287 429559558 519499006 1000000000000000000 590225965 280780706 237183699 160594649 1000000000000000000 658187705 636350319 592228608 40117484 1000000000000000000 985989883 34483944 237158630 463308319 1000000000000000000 261840888 116343879 66295911 192733910 1000000000000000000 861123484 463443872 768804892 795701398 1000000000000000000 440214015 137765304 13142143 218635569 1000000000000000000 333058991 294063811 108909044 223396127 1000000000000000000 244390451 99620953 532191 76754788 1000000000000000000 306574749 85043353 136606739 1117548 1000000000000000000 812851599 633855529 295748993 748012444 1000000000000000000 469528599 136132812 274383462 365337747 1000000000000000000 49117963 20869026 45618307 46972831 1000000000000000000 33763793 10537414 7734694 16689849 1000000000000000000 489145844 271742659 195430253 33802834 1000000000000000000 68683753 61477413 24298981 100010 1000000000000000000 438594268 223969388 13556469 96516498 1000000000000000000 294034236 287475700 287979763 115616331 1000000000000000000 86469071 58780106 28909656 26298106 1000000000000000000 873486146 332001197 112184135 139446321 1000000000000000000 807428569 555779704 205453635 788637710 1000000000000000000 424360217 26456704 342614545 358916342 1000000000000000000 364692151 196516676 264885306 127464163 1000000000000000000 538005491 306440068 295546666 324043224 1000000000000000000 206614413 114106227 183677000 3330494 1000000000000000000 347154646 13757495 344151633 136868972 1000000000000000000 417124151 324768170 288815440 131495325 1000000000000000000 407051554 353080200 161583363 267406201 1000000000000000000 68105543 45855929 24428609 64370779 1000000000000000000 325915781 189136531 142744616 206795535 1000000000000000000 873370093 162234377 219028161 873261880 1000000000000000000 735701260 294902600 10398306 116784857 1000000000000000000 261060141 65632181 209612928 28826605 1000000000000000000 836442831 191596790 675921731 349849900 1000000000000000000 382388 4487 376485 186863 1000000000000000000 358813216 347298196 276092279 141791665 1000000000000000000 681822494 216194338 397839170 218836133 1000000000000000000 782234489 576984469 235656984 637281545 1000000000000000000 258198654 133279520 203343705 237409950 1000000000000000000 415647388 250720664 366534440 345140672 1000000000000000000 43918185 41972082 18408454 42321652 1000000000000000000 958813361 534122412 130105032 647517893 1000000000000000000 660646597 29054966 449311904 496495471 1000000000000000000 645295677 503143984 392969121 264599933 1000000000000000000 899802667 625492323 465435289 34864823 1000000000000000000 406088288 66141038 379230713 89833297 1000000000000000000 568863800 426867540 444805432 135116711 1000000000000000000 753363765 111022962 126021117 725058042 1000000000000000000 859443371 518925951 708471154 669698027 1000000000000000000 61036927 1577248 23535214 27224278 1000000000000000000 288082547 61122407 136998460 209679147 1000000000000000000 833429740 310837960 475368157 305434197 1000000000000000000 83554808 63099730 29643036 26824304 1000000000000000000 406507578 392113752 225296719 299385793 1000000000000000000 573768082 373114209 31599871 422673197 1000000000000000000 305067624 109397408 283133128 298077432 1000000000000000000 582703910 112260658 470880904 379800322 1000000000000000000 520584636 58298069 468621149 345667156 1000000000000000000 585530867 207689210 580368376 387987706 1000000000000000000 116039761 11276215 108215950 109576010 1000000000000000000 982836341 970562614 509642743 554055204 1000000000000000000 331241330 245185430 45812869 200086366 1000000000000000000 588147179 354885232 59719049 201957836 1000000000000000000 386086258 270168630 174541890 179842203 1000000000000000000 484866953 437066745 197072207 16611488 1000000000000000000 273258109 216593012 213693986 30158930 1000000000000000000 323122532 131252224 289999985 32165756 1000000000000000000 641918809 398870954 558757784 429136328 1000000000000000000 254584304 27756397 216500933 15544123 1000000000000000000 343674268 150616429 85000035 50810022 1000000000000000000 789496522 136023950 403165491 52777955 1000000000000000000 604662301 98182193 336157553 448782974 1000000000000000000 290546547 194376166 276839745 275337412 1000000000000000000 991442090 678913077 950319644 665394599 1000000000000000000 74255025 28868809 69619691 15673903 1000000000000000000 648350677 214508299 565445358 137105067 1000000000000000000 82029787 74371458 65414415 67753506 1000000000000000000 624135709 409415674 347589839 81852270 1000000000000000000 720458666 269687713 65143318 542970801 1000000000000000000 854613543 442873798 452334482 744159463 1000000000000000000 517316950 376007232 261511124 424757104 1000000000000000000 923586958 155723137 167776869 535853500 1000000000000000000 108028403 68696071 103757635 37332284 1000000000000000000 139987699 138872377 115618399 61931106 1000000000000000000 315527351 65163247 89122668 276997561 1000000000000000000 200540106 144266770 81138267 3850595 1000000000000000000 261396633 64543464 71489488 51757786 1000000000000000000 358483939 166299634 291998815 208247573 1000000000000000000 589441299 117230884 170568560 233200510 1000000000000000000 331217391 90966989 54202292 127826974 1000000000000000000 94959597 83465468 25308684 16241149 1000000000000000000 461700025 267007131 398553777 310429249 1000000000000000000 254653562 199169493 236867669 104535003 1000000000000000000 108563944 24274433 30992977 92550549 1000000000000000000 66069166 54590933 41849627 12106917 1000000000000000000 547546339 314907574 188499552 85141367 1000000000000000000 632790962 52321906 621551527 316701674 1000000000000000000 534298580 353630005 173219466 209364707 1000000000000000000 205302183 112180137 117371082 170091774 1000000000000000000 320306730 148512378 168919081 294962022 1000000000000000000 823545631 325598229 26074883 197706156 1000000000000000000 975204966 890750445 167461009 464110214 1000000000000000000 896383486 503349009 617973095 504698617 1000000000000000000 799050452 441606403 217663033 500002622 1000000000000000000 322166755 273980611 79791658 14100189 1000000000000000000 992014866 570606070 406397810 912896698 1000000000000000000 42515867 15968908 6269727 35838379 1000000000000000000 272588856 88115958 8493044 264825391 1000000000000000000 589884526 221758326 45655827 587399777 1000000000000000000 992401504 801862476 710608494 112768315 1000000000000000000 359726229 246016782 355145246 29319355 1000000000000000000 114589247 26916313 22593596 73696508 1000000000000000000 988070714 159348856 117482108 803193268 1000000000000000000 40530898 15428727 17984032 32955198 1000000000000000000 531455182 76618442 349063146 242966953 1000000000000000000 651987551 390502413 597730042 595903334 1000000000000000000 150364682 118367833 81424849 94570445 1000000000000000000 144361654 37344415 133780594 115466701 1000000000000000000 729488433 214952544 623073785 307492139 1000000000000000000 100180854 43278793 28134911 22824157 1000000000000000000 286599129 74305733 192809962 130885762 1000000000000000000 271178567 47311527 262935452 86805043 1000000000000000000 882100851 236815200 482906288 42470909 1000000000000000000 815485171 487735954 213822943 563638061 1000000000000000000 244710084 179278737 90415983 69880245 1000000000000000000 628937251 490333139 270218348 485030573 1000000000000000000 606689646 539874521 116190312 112914408 1000000000000000000 241257947 20590295 187989836 109210380 1000000000000000000 639938205 448477779 193990550 598768923 1000000000000000000 150679074 30636400 145287729 74772506 1000000000000000000 729077156 111492971 268730248 509925814 1000000000000000000 376206463 321100576 48149170 276354708 1000000000000000000 395652671 3443032 49156395 192370335 1000000000000000000 281707375 203104262 40292036 198931521 1000000000000000000 872486119 834465282 425473723 341020843 1000000000000000000 49981096 40726467 13876090 42951344 1000000000000000000 379287246 102242329 241769657 337804118 1000000000000000000 286672769 227999092 167097310 252073418 1000000000000000000 236495905 174654039 149062440 190970685 1000000000000000000 456988039 95924666 69637920 447140297 1000000000000000000 818766720 2826982 319079579 1780910 1000000000000000000 552777684 86254157 545495042 103565678 1000000000000000000 263256674 147439224 156486160 212445061 1000000000000000000 708356937 193483467 243785454 71676046 1000000000000000000 827422273 353794947 714157985 411397152 1000000000000000000 216874673 14388305 162698398 163928793 1000000000000000000 676099060 50994593 444129194 365525870 1000000000000000000 363306825 97369219 239082519 125059708 1000000000000000000 253252194 58532990 209607768 206559533 1000000000000000000 412388794 4531137 118195694 199973801 1000000000000000000 307927796 205015767 230314960 156630958 1000000000000000000 649929420 588054068 86390104 425318466 1000000000000000000 292011871 289858247 232187368 144019128 1000000000000000000 269525291 90851106 13734505 209046953 1000000000000000000 217070278 199913017 84865518 160974211 1000000000000000000 710815706 163824495 308159030 171488254 1000000000000000000 565866085 293893707 318163954 563643735 1000000000000000000 592421053 137847194 375441096 453589539 1000000000000000000 347634127 72205205 213699574 253047695 1000000000000000000 250783959 49695212 95754108 230305315 1000000000000000000 432212361 89860688 259307098 374041984 1000000000000000000 323986273 152949522 213937999 56113948 1000000000000000000 899059826 571754696 308364162 898877585 1000000000000000000 445372617 89425729 157104064 106685869 1000000000000000000 629591749 12029770 237206712 618210817 1000000000000000000 203723992 109452945 112472714 186605320 1000000000000000000 345307715 199893744 231208019 61797910 1000000000000000000 566795388 96327506 495440439 15518269 1000000000000000000 852853999 102339727 593517739 235074422 1000000000000000000 742650704 511516424 349202944 566991723 1000000000000000000 179162177 47531062 136356886 89157749 1000000000000000000 309182107 61288305 278503289 290422824 1000000000000000000 487242979 140427024 406527575 293138273 1000000000000000000 367621364 241318723 159808731 258062233 1000000000000000000 896104773 290048264 234813807 213232823 1000000000000000000 68270742 37017116 29370906 29015245 1000000000000000000 809642067 258912970 284412334 118634461 1000000000000000000 40753161 20954446 25121327 37752519 1000000000000000000 91498502 11383897 43795625 54831061 1000000000000000000 554921396 81186740 214233138 155250856 1000000000000000000 357869189 11532452 321784465 32361153 1000000000000000000 618862173 406034240 781371 68594477 1000000000000000000 944507311 34986268 823711205 750121765 1000000000000000000 876346197 655404308 494549037 120422056 1000000000000000000 169769842 157886853 101473142 47054406 1000000000000000000 356081252 265991817 176332705 143685410 1000000000000000000 197571286 104360046 52126581 10944673 1000000000000000000 639637121 300290899 361470731 150436282 1000000000000000000 377656341 62903517 305304951 167860276 1000000000000000000 22897950 11840251 12588757 7113344 1000000000000000000 577191449 434862826 403607975 513943124 1000000000000000000 389220131 156036363 58290086 160176230 1000000000000000000 852414263 634428275 546732653 558206091 1000000000000000000 14623317 209490 5447080 13521776 1000000000000000000 850009182 580265798 40374959 579591694 1000000000000000000 305298175 169394571 117167963 34101845 1000000000000000000 480298287 229030833 202696781 287410534 1000000000000000000 392276196 385118674 143268645 85321354 1000000000000000000 471176255 75110316 203220205 253857040 1000000000000000000 964826708 288503086 556882184 452261210 1000000000000000000 856561013 402482096 47911645 509486255 1000000000000000000 813722386 145075644 345987532 186707295 1000000000000000000 75709515 66172295 33248952 12894634 1000000000000000000 888641554 764775550 360063188 51899782 1000000000000000000 968964232 640891101 477875618 568291485 1000000000000000000 724899477 414583219 167148991 673526561 1000000000000000000 355513509 145656199 46265110 111263295 1000000000000000000 571381434 247704795 440541330 65725937 1000000000000000000 513240598 294144937 421666763 401718727 1000000000000000000 963280048 540730438 503085333 701902152 1000000000000000000 500977209 451207252 123863034 439378934 1000000000000000000 877300700 572935007 358179955 814558769 1000000000000000000 155538142 46964615 83351306 109742328 1000000000000000000 99437055 69578926 17726436 72805311 1000000000000000000 167977611 127143952 35180521 28715984 1000000000000000000 70925082 18230703 11298298 60006548 1000000000000000000 959630068 756943300 575878791 897578820 1000000000000000000 624486457 538192740 389171800 383124827 1000000000000000000 139634319 37201919 51069099 36891311 1000000000000000000 388584809 249417320 208069458 46739820 1000000000000000000 782978871 779769865 683201769 652561712 1000000000000000000 788354808 324078534 7368107 777922809 1000000000000000000 445295863 420918543 365867377 392254059 1000000000000000000 858933499 807941022 704676676 19860878 1000000000000000000 319829621 253677189 160485115 169704955 1000000000000000000 503923539 46084616 118378623 287224360 1000000000000000000 270272984 82472431 52228631 14741818 1000000000000000000 92033947 36686712 58052311 34619294 1000000000000000000 632595692 184045380 48752425 347281285 1000000000000000000 576030026 261060762 575693841 203302158 1000000000000000000 523476994 169117089 184674943 326282565 1000000000000000000 625139058 593140249 450711374 617233323 1000000000000000000 166326575 19130829 154279255 144573984 1000000000000000000 531705603 430315407 146156959 78685486 1000000000000000000 789987056 312207946 86232510 101069491 1000000000000000000 284821343 101318635 24698463 51865422 1000000000000000000 587633032 104834839 307284456 103972358 1000000000000000000 841519455 378195707 782638481 468456090 1000000000000000000 902026947 395322658 836823786 837388366 1000000000000000000 658781900 256318795 622780182 286189912 1000000000000000000 127722483 62672038 64517905 57212454 1000000000000000000 435517415 16113841 311046343 424225301 1000000000000000000 73037930 14883419 10578058 6490886 1000000000000000000 840323006 686095924 50861913 437271990 1000000000000000000 761566473 239631882 343254115 191298202 1000000000000000000 670790382 468852222 509570828 59798633 1000000000000000000 355193804 231618732 302501884 300701619 1000000000000000000 924463813 535736028 421924436 904640486 1000000000000000000 905622474 332680261 142025727 97022229 1000000000000000000 527164528 307975814 216244121 143464979 1000000000000000000 692714956 467420088 360956020 6291955 1000000000000000000 943212085 510793047 332545609 460115789 1000000000000000000 154063110 125183809 26968071 37087036 1000000000000000000 596635404 375064785 544643550 120902958 1000000000000000000 543264884 153587895 269589014 251410730 1000000000000000000 675004531 19264473 454172348 500238889 1000000000000000000 990772096 181476580 442854803 697162417 1000000000000000000 964758942 648732527 396727189 335262690 1000000000000000000 130393948 129933973 86480091 120758075 1000000000000000000 456484270 166986187 297348171 43614779 1000000000000000000 86882596 53562988 26016638 82374029 1000000000000000000 428573960 323847382 266655416 425515718 1000000000000000000 718732640 352063369 362746314 187604601 1000000000000000000 514657860 51458609 41308481 121714464 1000000000000000000 358964844 241012963 11578891 265975707 1000000000000000000 809924246 622396194 485179590 779426112 1000000000000000000 783974501 501919387 700545454 52863221 1000000000000000000 165897888 55513008 105416896 129114537 1000000000000000000 851447112 721996909 487598914 363658803 1000000000000000000 214572905 181444418 167733190 8972261 1000000000000000000 898966500 475015498 681312562 284937379 1000000000000000000 65803335 3920074 61551724 49993248 1000000000000000000 996374061 268264946 399030046 841362399 1000000000000000000 632834558 320059784 543360269 364016949 1000000000000000000 468509440 37731663 368444532 259070159 1000000000000000000 184688554 33438747 50063433 52316240 1000000000000000000 774068276 108106996 185073976 54640317 1000000000000000000 728094766 673135492 23857610 63634922 1000000000000000000 897607927 308672048 236402846 120889783 1000000000000000000 116998579 57335792 48975293 78965475 1000000000000000000 510624248 267929862 439894334 337562234 1000000000000000000 105518905 40291066 37158306 10438157 1000000000000000000 767495431 703430250 464408114 675438087 1000000000000000000 952629958 86267645 24687495 476890067 1000000000000000000 120795164 71000631 21692819 17859049 1000000000000000000 622325267 50098923 229166846 409783236 1000000000000000000 792948564 695652026 228844043 375816161 1000000000000000000 103113385 27445924 49367362 13225940 1000000000000000000 680435446 334537455 481013189 198890006 1000000000000000000 324570619 210962823 112863938 28237973 1000000000000000000 646159507 540953287 472560669 513259693 1000000000000000000 841750202 330732982 471515313 290436190 1000000000000000000 499545126 350553179 490828735 19002081 1000000000000000000 622993278 309959727 225053234 592964280 1000000000000000000 861112314 390496507 849338076 461636253 1000000000000000000 246693697 14446389 67526825 14218693 1000000000000000000 185301013 8251105 53833693 93752459 1000000000000000000 397763339 245359674 193128926 396569846 1000000000000000000 299353329 242197560 233477785 291451343 1000000000000000000 308179929 267277078 157327994 78155956 1000000000000000000 767392820 236560858 226799852 539839873 1000000000000000000 445713773 117201106 132111064 222127178 1000000000000000000 402365530 166821643 29503877 303842796 1000000000000000000 767440880 737626853 107675705 572609928 1000000000000000000 175197134 899275 50823528 139630439 1000000000000000000 279286160 146020418 248597606 70363165 1000000000000000000 498432264 350995290 208777742 413074614 1000000000000000000 781900216 713615844 299612503 33415931 1000000000000000000 358061547 181131900 292679081 205318210 1000000000000000000 387937434 363919108 70624617 345255810 1000000000000000000 232269818 96925866 162187722 148481156 1000000000000000000 981639098 213866372 571719726 656784024 1000000000000000000 891850873 193155912 572122635 442604109 1000000000000000000 271523390 67673402 177873055 88756876 1000000000000000000 920674527 328793493 251178932 512409079 1000000000000000000 974147422 895459407 669948007 791894946 1000000000000000000 623590163 72831130 598067194 171856137 1000000000000000000 36162540 2152 14728515 22161116 1000000000000000000 466055617 388615912 64959479 279009170 1000000000000000000 793964131 699181468 572331535 203846096 1000000000000000000 472154256 178870661 392591412 57213984 1000000000000000000 462862063 214465770 82211581 30122912 1000000000000000000 213830709 71557061 134506334 66367482 1000000000000000000 615851728 227832393 402874027 99983421 1000000000000000000 680299547 65418846 23003888 526384510 1000000000000000000 289082453 51207141 279627684 239085848 1000000000000000000 771823075 752098359 110756831 373478580 1000000000000000000 291812380 256807720 77625091 10607223 1000000000000000000 312154252 107669317 308277074 47415265 1000000000000000000 705047198 80628797 293476840 221199325 1000000000000000000 138985338 40309961 81403220 56824643 1000000000000000000 578484406 257886146 106793871 236947245 1000000000000000000 743771132 48584328 334733610 250744946 1000000000000000000 674797235 185869923 422971572 142308153 1000000000000000000 391165544 191948124 324230356 342831352 1000000000000000000 917829890 350908743 161494347 131219662 1000000000000000000 385761974 61449273 345189979 91568791 1000000000000000000 901381972 500251957 66358813 111011386 1000000000000000000 995583815 794989539 413568960 503212916 1000000000000000000 855330319 407192561 87542105 138478822 1000000000000000000 313419294 64447914 216952199 187591753 1000000000000000000 68058092 38988254 19382021 7920728 1000000000000000000 908300223 427356524 68709205 150039720 1000000000000000000 665111702 41589753 307034563 478308779 1000000000000000000 38873194 2106720 33604931 5315528 1000000000000000000 37918349 20980962 13088745 32223936 1000000000000000000 831506092 227156526 718183900 594824884 1000000000000000000 560548708 194536913 389443778 46314234 1000000000000000000 836946419 500388692 440167315 700035172 1000000000000000000 106759326 4074533 563695 77358094 1000000000000000000 787464771 642505366 613211352 429997813 1000000000000000000 137073786 107870157 106900099 123711369 1000000000000000000 277815665 154977407 78678998 244731830 1000000000000000000 187625686 151892487 81961080 169900622 1000000000000000000 396765459 136863394 44957096 226669912 1000000000000000000 505366658 300404674 16962205 356980956 1000000000000000000 920929798 746138022 73658518 207344070 1000000000000000000 339313310 89164245 205963401 44277172 1000000000000000000 905163370 696745269 610069834 277182582 1000000000000000000 868686227 577608071 673544835 794144493 1000000000000000000 875322059 231555748 376937727 518516850 1000000000000000000 175154587 104502882 35869590 138946021 1000000000000000000 18156320 13429899 17358425 13097011 1000000000000000000 361825983 100231110 12661745 326154749 1000000000000000000 433901946 251960924 243940748 121182277 1000000000000000000 966371603 689171763 722509254 857381597 1000000000000000000 675691587 119267754 44479107 72494728 1000000000000000000 578852121 353389739 157866257 461830136 1000000000000000000 153878918 53096937 118780683 145354561 1000000000000000000 242399589 138400130 74344324 72749537 1000000000000000000 40427237 28790365 24060559 39048605 1000000000000000000 329762293 259531413 180983750 13053718 1000000000000000000 421231195 233046314 278177619 64171554 1000000000000000000 124430515 68574711 68555559 52574495 1000000000000000000 598565541 250122207 127876258 189244 1000000000000000000 479003001 329099145 464405204 200244991 1000000000000000000 532026854 305050564 293297482 369009829 1000000000000000000 559408317 168750798 470530062 452515863 1000000000000000000 651340698 556606786 450506080 639532498 1000000000000000000 34144445 5420759 1282174 6623662 1000000000000000000 523234451 400381194 129604748 13350314 1000000000000000000 979534884 775273514 782610072 949376069 1000000000000000000 529406733 257053357 435800017 524975026 1000000000000000000 514541995 466427214 414372243 208415517 1000000000000000000 908579851 58265665 78204705 623161021 1000000000000000000 356390286 331744998 355908245 77678578 1000000000000000000 468206143 248161217 374424527 217340430 1000000000000000000 558480381 397562648 556638262 416126942 1000000000000000000 274108673 26459552 89088726 112255804 1000000000000000000 179817109 70314222 114465936 59065085 1000000000000000000 613124125 363204810 469263451 204597369 1000000000000000000 348210087 60990646 48380431 184775976 1000000000000000000 377858922 105809830 78677588 356089199 1000000000000000000 779181348 370008443 542752286 742990166 1000000000000000000 412527719 358499178 66292099 234372750 1000000000000000000 428694823 41286004 20020068 131773434 1000000000000000000 851222179 519066686 701057205 372414786 1000000000000000000 103055625 30916253 23772647 71682888 1000000000000000000 169046055 166844226 153216314 108354668 1000000000000000000 262923346 161800702 65225746 32884043 1000000000000000000 104565670 70495990 71200745 97251348 1000000000000000000 318660812 113544849 295571795 118091989 1000000000000000000 186425571 144658142 97230399 161012891 1000000000000000000 417077916 158169057 290603204 255164177 1000000000000000000 194915926 6604913 74741839 152369816 1000000000000000000 509148255 551549 238686504 230576064 1000000000000000000 142577444 43277846 107864869 53963335 1000000000000000000 802285905 710576907 288741689 233254274 1000000000000000000 312216113 51788154 58018314 22353694 1000000000000000000 54514150 13944772 24996919 40390277 1000000000000000000 261642701 39748832 5378094 122990214 1000000000000000000 851392083 510613778 662805368 239334744 1000000000000000000 286466672 44229118 35583590 188616731 1000000000000000000 12880534 10014004 8346362 11689288 1000000000000000000 200462780 116241450 12926380 35575895 1000000000000000000 439722632 128142882 143364059 264308547 1000000000000000000 539519787 95334090 506215077 395190028 1000000000000000000 718223330 584349576 339707326 695379623 1000000000000000000 929015742 365981446 607835757 626050624 1000000000000000000 845771197 142647731 58633342 673091736 1000000000000000000 196428782 175928254 53459982 187782011 1000000000000000000 179271670 49789154 124192710 69240402 1000000000000000000 816016545 496394722 244270961 13333770 1000000000000000000 42631266 37123447 35850103 6673272 1000000000000000000 750600044 483405995 158077560 380432325 1000000000000000000 457006672 422073662 155063024 307512014 1000000000000000000 317743688 245941612 286365358 86046019 1000000000000000000 440893967 83464035 7392000 151801666 1000000000000000000 488631234 105242455 206876291 57019418 1000000000000000000 575341733 305740238 245653144 514639209 1000000000000000000 748437096 89240246 575986502 471421534 1000000000000000000 860794878 689657157 828230340 635019819 1000000000000000000 376360059 282756852 74595373 279881699 1000000000000000000 519550990 210684449 105573064 182810800 1000000000000000000 197777343 160612737 82822044 185412568 1000000000000000000 464208965 213154597 207047485 229099716 1000000000000000000 207256682 105652777 40117316 123310250 1000000000000000000 854521875 727512499 517414723 175211062 1000000000000000000 255772940 248586104 92637137 199822400 1000000000000000000 450187415 16312563 67938367 334086360 1000000000000000000 561568370 135207108 12298237 64932292 1000000000000000000 842523259 416243360 815790131 26834474 1000000000000000000 209219132 18108235 9332968 181503448 1000000000000000000 492045170 485114811 221104937 210807861 1000000000000000000 199182242 25653839 67790348 55264594 1000000000000000000 524389960 77206145 203617276 155045267 1000000000000000000 249007452 206038924 132450249 19346246 1000000000000000000 418552202 134473346 326178751 204027714 1000000000000000000 410406579 407769703 216058441 183208906 1000000000000000000 403646220 393384436 33673465 199840377 1000000000000000000 128613308 78816149 11436068 101913165 1000000000000000000 132540144 16425621 114544764 131920320 1000000000000000000 80993429 44944936 51783949 58471979 1000000000000000000 139490506 29125124 111291751 46434516 1000000000000000000 515960883 360293836 325597260 210246093 1000000000000000000 494567454 441657910 322630932 448410544 1000000000000000000 766474121 246290376 59350816 173572286 1000000000000000000 168687443 158234596 130786159 93123639 1000000000000000000 231806974 49202472 194053244 42021898 1000000000000000000 404504351 301052180 16677349 284505029 1000000000000000000 554636570 412907031 5178933 291269821 1000000000000000000 116956294 27326610 56197285 97676407 1000000000000000000 298078236 198025355 44175373 253761066 1000000000000000000 8719350 4036631 4946934 4938741 1000000000000000000 304481267 67674663 217079289 197977118 1000000000000000000 73860792 11097196 20634789 49156268 1000000000000000000 717499017 6463813 496837085 290067099 1000000000000000000 658169920 560707295 310720389 85915959 1000000000000000000 214628666 102219786 55853243 122892263 1000000000000000000 568850922 285782526 297156672 558180692 1000000000000000000 308447566 151053746 30346031 10801282 1000000000000000000 563337884 275598199 478743127 310365014 1000000000000000000 16025588 9734237 2843598 7182983 1000000000000000000 818326126 376589997 420595399 212790934 1000000000000000000 753366688 606500787 4123326 145782984 1000000000000000000 140612543 43308922 130279845 135194175 1000000000000000000 511727127 475248321 122949984 66135527 1000000000000000000 847135598 239503768 430540137 669325688 1000000000000000000 900963464 725701679 158955562 703364888 1000000000000000000 461336590 91935313 412904740 409492164 1000000000000000000 345990938 180189421 109499076 160239323 1000000000000000000 24653626 13703068 18886704 10504780 1000000000000000000 421269665 130919007 324127783 262779576 1000000000000000000 814039883 432168546 763128112 473891191 1000000000000000000 783647460 274847905 227014520 271326103 1000000000000000000 512242271 132368900 441478211 440177184 1000000000000000000 634641347 542167361 104196345 398618930 1000000000000000000 326660395 228451859 301012438 136135448 1000000000000000000 36255966 35597865 16727276 4612139 1000000000000000000 825439776 179095087 567155200 409669083 1000000000000000000 823161373 459056227 174092538 130691834 1000000000000000000 668182790 267483684 552320843 560650091 1000000000000000000 225421385 80713270 69113180 222750132 1000000000000000000 294794205 156449909 182659286 54454418 1000000000000000000 629338510 578350910 214190290 270872371 1000000000000000000 840630396 481140472 768313820 44844349 1000000000000000000 340979952 289229026 276451570 295848216 1000000000000000000 528870066 208674990 270644570 244370783 1000000000000000000 488491803 14949986 79873818 471202792 1000000000000000000 846188761 346051659 824558685 773914135 1000000000000000000 364689146 80674093 97819410 262194257 1000000000000000000 228865203 51069640 124104826 35991765 1000000000000000000 71985691 47740003 60755976 60191945 1000000000000000000 74112795 39190768 71434481 21540262 1000000000000000000 795671831 675772483 211650291 176230211 1000000000000000000 55727646 23329770 40495243 25968607 1000000000000000000 426283463 235959222 115656704 308642599 1000000000000000000 24225263 1105155 21398796 6704608 1000000000000000000 274891583 227585474 164814613 52212649 1000000000000000000 900277095 463112134 746557795 396825667 1000000000000000000 810260052 216125582 690381103 17397819 1000000000000000000 22227323 14402796 21513339 5134287 1000000000000000000 632410354 403565810 608388256 239369265 1000000000000000000 592318265 244344798 180118613 192118343 1000000000000000000 388876239 63318711 363966974 341875531 1000000000000000000 155867654 155625849 67618966 152196053 1000000000000000000 374089600 318700250 28539789 253091844 1000000000000000000 43759727 33617661 20788939 31528726 1000000000000000000 976355860 922869912 284823714 865427158 1000000000000000000 530593805 31683490 35206728 212843439 1000000000000000000 616125232 579669408 143226790 533158318 1000000000000000000 883820980 39770994 234635658 523612996 1000000000000000000 497052839 323078815 369244946 130835966 1000000000000000000 182881055 162589215 29649931 180884823 1000000000000000000 139007243 101037883 125284680 129977894 1000000000000000000 895410799 162132497 625125919 527928864 1000000000000000000 103379947 41780660 46517902 74390953 1000000000000000000 743502353 714056111 99965587 220077150 1000000000000000000 627048742 138327206 296117087 556440722 1000000000000000000 976296684 335911880 904912351 77933031 1000000000000000000 952605645 843315527 655176718 93806470 1000000000000000000 420608866 78758509 61223203 43062306 1000000000000000000 307228191 30893841 171112313 145791983 1000000000000000000 560398660 294132840 101893461 40908424 1000000000000000000 566812177 144941017 367854504 330168332 1000000000000000000 843602334 717065240 353279379 390426974 1000000000000000000 509634623 420851029 377611412 277673596 1000000000000000000 475529583 438495163 132470282 279991700 1000000000000000000 21394204 18647768 19992963 15205176 1000000000000000000 424311345 317723090 114322782 374921327 1000000000000000000 127338071 120212958 25482485 8383235 1000000000000000000 815946159 180244146 9321036 82947362 1000000000000000000 625194074 90660353 164733068 68941377 1000000000000000000 862251988 632134128 240866314 243842228 1000000000000000000 34813217 9641394 12927004 11859447 1000000000000000000 913479557 844777549 237998504 782688171 1000000000000000000 871945924 114508617 698264599 361962976 1000000000000000000 625882803 115117862 494688734 148826764 1000000000000000000 651906557 241343268 124198473 213721673 1000000000000000000 130230772 36375993 2891300 1191904 1000000000000000000 71720348 46102624 67268025 30823409 1000000000000000000 568814727 72426015 335310888 406377551 1000000000000000000 248059350 28248137 232207063 117837403 1000000000000000000 423877414 288491889 231072644 287248196 1000000000000000000 829168375 137858606 127076421 369122935 1000000000000000000 454698875 26199267 331293062 39132673 1000000000000000000 781745982 119925559 31415527 27482089 1000000000000000000 731775894 481351206 462678025 415998814 1000000000000000000 875797868 276879198 499615942 29328336 1000000000000000000 836434121 338237538 622977897 270979361 1000000000000000000 619907073 326113157 9507571 572654634 1000000000000000000 429659054 405792502 245479024 31858494 1000000000000000000 532229774 82537223 315186713 444444030 1000000000000000000 752527908 521144116 452124289 266870285 1000000000000000000 584907940 383304308 59961598 405954110 1000000000000000000 301419796 51358306 203822363 298604868 1000000000000000000 210193360 131958415 180657657 53041214 1000000000000000000 54052685 29851287 31928406 38940581 1000000000000000000 151183590 27634815 97757150 83932638 1000000000000000000 869104068 452738982 777860393 334674428 1000000000000000000 194959657 71181109 127948467 163940041 1000000000000000000 217905383 180097682 159111768 87476209 1000000000000000000 393075242 218853090 114370831 318539565 1000000000000000000 54344662 24528656 41256458 11862681 1000000000000000000 615314855 377773700 327339460 391221079 1000000000000000000 342579526 99232720 231670752 267560314 1000000000000000000 645310461 453904662 148705310 450696756 1000000000000000000 940285279 28194364 237133418 784920709 1000000000000000000 624318783 168754911 1434426 521419368 1000000000000000000 146274477 19208871 144338666 5690140 1000000000000000000 404590084 365481667 116057042 34891848 1000000000000000000 895946301 372555540 835863681 496945784 1000000000000000000 38997149 8953548 21041234 32441894 1000000000000000000 153466713 148619871 127425564 138597733 1000000000000000000 590029727 433247845 552925209 249047242 1000000000000000000 181847365 152142140 120800339 49191532 1000000000000000000 348816587 279033896 220741833 35032240 1000000000000000000 748326644 731262248 187763749 732326642 1000000000000000000 986729710 134118031 854522527 770581373 1000000000000000000 684471402 589616619 442243867 126989829 1000000000000000000 651980587 326518358 16933446 160119903 1000000000000000000 593286649 15398512 38283487 159295617 1000000000000000000 659162303 233264464 602190573 201363939 1000000000000000000 216717402 87057137 213623799 75923414 1000000000000000000 979834362 64462719 560025374 298300839 1000000000000000000 734585466 352158339 337780540 26996317 1000000000000000000 53524745 26707975 49851630 29198875 1000000000000000000 260853390 214612909 105683630 61174856 1000000000000000000 295320907 222864440 288894726 264556699 1000000000000000000 720652760 159649789 622681658 347286667 1000000000000000000 148057453 53856916 126823622 106870787 1000000000000000000 575605439 9198635 160051659 58243056 1000000000000000000 352680476 225202797 74094829 99370072 1000000000000000000 60697756 32548193 60528712 14283392 1000000000000000000 767164508 66893223 571938197 314073959 1000000000000000000 17252725 13264132 14318651 8015830 1000000000000000000 694997686 560715119 465081046 628870263 1000000000000000000 172452545 41208186 10557008 11118327 1000000000000000000 17399808 7828204 14735189 13206909 1000000000000000000 535748005 190007857 344699638 339990867 1000000000000000000 834078182 374438500 225980636 115049739 1000000000000000000 980165526 334300912 46220885 572918549 1000000000000000000 223420409 69498083 28439174 113862249 1000000000000000000 759661317 597369710 319645857 96698219 1000000000000000000 54684154 21985838 26391507 20499210 1000000000000000000 762423937 603797732 735902721 530903863 1000000000000000000 395870947 345011727 169557848 155946703 1000000000000000000 130966263 25715936 89005954 73636345 1000000000000000000 948993081 102125960 774048006 498394682 1000000000000000000 846652471 395313943 42953773 40488163 1000000000000000000 886643816 533998963 489059887 864197750 1000000000000000000 168033100 42514104 161671778 11728014 1000000000000000000 419962966 233717724 316373822 278657111 1000000000000000000 335143550 304650930 253306479 286321372 1000000000000000000 418072715 390610161 219670266 408056628 1000000000000000000 370213046 228836261 11492618 234594925 1000000000000000000 733461571 260339785 347898838 635610665 1000000000000000000 394471122 193575156 300781308 155032270 1000000000000000000 559221009 229043813 155547849 383003330 1000000000000000000 982415593 503778729 134963885 911630462 1000000000000000000 106409926 42714901 76444623 98692680 1000000000000000000 925977776 91420087 423743381 5680070 1000000000000000000 34793855 6908490 8915122 16215277 1000000000000000000 924103856 900276695 277373537 184719273 1000000000000000000 901764903 762841841 154970770 143090358 1000000000000000000 967839839 828679525 628937618 454590431 1000000000000000000 846832917 837562225 428544470 432998832 1000000000000000000 217701185 208389396 154870883 119505944 1000000000000000000 146100636 63902550 122944844 42474977 1000000000000000000 270515734 88903127 71712473 195811709 1000000000000000000 736574222 196759424 615450575 304151473 1000000000000000000 593090568 218649159 283029131 86706649 1000000000000000000 53897668 45633509 34657898 1397896 1000000000000000000 983680187 173832752 426861084 403965166 1000000000000000000 548911210 359282314 118579374 189623297 1000000000000000000 790085959 45572892 217553537 220767054 1000000000000000000 767827563 306200283 429901134 332813051 1000000000000000000 164454698 154475961 140047736 93775703 1000000000000000000 454757031 132799565 434899183 395279810 1000000000000000000 586368038 313824109 380520522 46834237 1000000000000000000 103199916 95970913 83644070 45268126 1000000000000000000 369302981 243828291 49995296 365325359 1000000000000000000 859192610 339540830 502822779 480544679 1000000000000000000 115871865 66939748 56039551 79882575 1000000000000000000 53737769 32952712 4223726 14586517 1000000000000000000 737850484 665558878 398633620 30747292 1000000000000000000 536381741 83394730 355250739 469422534 1000000000000000000 195931517 182281123 166472446 106507459 1000000000000000000 676332602 611465212 105891355 588048276 1000000000000000000 226842004 15892445 154818254 72090615 1000000000000000000 864584702 156335084 129346126 495204475 1000000000000000000 948056627 854213888 796402236 2028302 1000000000000000000 287566750 176787347 138206959 78990541 1000000000000000000 230054647 21703468 175412945 29041975 1000000000000000000 997218978 553750342 142575266 438636390 1000000000000000000 639403347 618672726 461006911 550284057 1000000000000000000 643370053 398750997 62539338 65624901 1000000000000000000 420547385 94218752 365738491 279602910 1000000000000000000 637310522 386626765 575724235 135558775 1000000000000000000 815331835 668211328 361492287 734650038 1000000000000000000 359947496 44298781 320823789 183028468 1000000000000000000 487472676 340454978 325698257 235994377 1000000000000000000 337926709 187193915 13940822 231095718 1000000000000000000 916400600 536348324 510165496 227028877 1000000000000000000 565661388 559909699 138965862 9568297 1000000000000000000 449648376 98168472 123569876 204922135 1000000000000000000 842184089 172505424 211714051 712245825 1000000000000000000 567213917 489359077 442527794 283913913 1000000000000000000 963856985 648170197 284643641 434955514 1000000000000000000 659614351 542297880 125460939 232193960 1000000000000000000 766823280 162841280 683916775 9241828 1000000000000000000 800969100 48501780 414028488 447598066 1000000000000000000 340282095 191840006 220577 27088505 1000000000000000000 551576500 547487590 300357590 279805341 1000000000000000000 642197424 106103234 562614758 77619861 1000000000000000000 663434899 199652268 392436705 387595966 1000000000000000000 668746695 464631067 539574391 376226766 1000000000000000000 246327924 215476267 80326766 197628795 1000000000000000000 860497 358199 320427 248122 1000000000000000000 294574033 226780858 155159655 268579572 1000000000000000000 262142543 101596780 64803354 247865201 1000000000000000000 898355483 625848388 703103655 461242446 1000000000000000000 763747456 402785207 252757525 48351535 1000000000000000000 55977288 26640507 51476701 38505160 1000000000000000000 847036300 813178343 564006434 101755393 1000000000000000000 140951121 5887646 97882178 46262222 1000000000000000000 659875474 28816345 500468224 641631233 1000000000000000000 662172598 616090491 114471058 185106622 1000000000000000000 735651664 211049610 156038600 491488537 1000000000000000000 120825546 118464613 19230225 37720583 1000000000000000000 792223320 295160086 197451429 23587681 1000000000000000000 339054236 192479967 146090980 304129615 1000000000000000000 179442066 173953678 48224284 123306792 1000000000000000000 570837620 455224861 171265676 333527177 1000000000000000000 273447419 93622491 67581878 92428308 1000000000000000000 376926236 192125450 218209825 318047544 1000000000000000000 445235203 424470893 237121421 410944844 1000000000000000000 89981566 55613699 49277054 74369481 1000000000000000000 395969982 50079397 236101628 151676770 1000000000000000000 26026725 2018898 21448129 12960125 1000000000000000000 15848441 8851019 7944947 12928535 1000000000000000000 147196429 21835458 90157638 106500874 1000000000000000000 271772461 263614125 74819628 168545633 1000000000000000000 651174904 624592971 356629630 50126934 1000000000000000000 119132738 70926692 13172977 94405116 1000000000000000000 621805574 531914458 541126976 361841055 1000000000000000000 513465808 285395416 45890024 387149162 1000000000000000000 912060148 116010024 89332179 73070003 1000000000000000000 442011187 233228913 438724257 149530573 1000000000000000000 189669250 114515269 12582528 31959373 1000000000000000000 179078006 146840191 38040091 43734491 1000000000000000000 557510143 95288107 407126423 262643914 1000000000000000000 311617671 235480536 172572711 163713255 1000000000000000000 187145445 112795679 86729 171444229 1000000000000000000 990859959 936167057 320054618 523826891 1000000000000000000 105662191 98961573 70448113 92743888 1000000000000000000 176528221 158408635 116519312 134552096 1000000000000000000 119023148 92669796 23396813 62174603 1000000000000000000 888529132 390992718 731112065 798812762 1000000000000000000 844848269 366190999 693038634 286975535 1000000000000000000 103829505 28359640 102972142 93802529 1000000000000000000 748530596 239771061 270349305 130011647 1000000000000000000 668167615 343058942 321759904 143509386 1000000000000000000 116437245 55559970 1466879 24920673 1000000000000000000 418282278 159411600 315781697 80097941 1000000000000000000 301905054 234472087 261056648 43781325 1000000000000000000 101022249 43512668 73767411 48213821 1000000000000000000 424862863 29829360 111097108 204381007 1000000000000000000 248173246 234836072 56425623 96952071 1000000000000000000 697805872 280445678 551440388 574569072 1000000000000000000 148790579 104804459 13839978 34274252 1000000000000000000 359019771 189217104 177402394 347517977 1000000000000000000 23195951 6646189 1851847 2840380 1000000000000000000 315798577 231398519 224460803 49856148 1000000000000000000 884123043 562929948 228751127 771554015 1000000000000000000 42697992 27660205 23672352 14733471 1000000000000000000 539675146 213373844 65590442 384687642 1000000000000000000 875257463 363210229 359500446 41999446 1000000000000000000 779004790 326538663 718337174 411091917 1000000000000000000 934925680 684442941 234385312 191311022 1000000000000000000 555856049 406295086 27431718 488713485 1000000000000000000 509746946 371625062 242179772 34484885 1000000000000000000 436089315 102618592 426831650 88079412 1000000000000000000 803859309 531563356 199680639 93909659 1000000000000000000 565499809 346187538 126308723 3232536 1000000000000000000 633280614 365784124 607804649 10038435 1000000000000000000 209895217 127957435 85209765 153699559 1000000000000000000 590189719 61408168 399735896 1972754 1000000000000000000 971367005 110223799 908710782 552274926 1000000000000000000 982732912 17942101 884818424 103731211 1000000000000000000 397727610 253563429 344950666 156077661 1000000000000000000 472551129 205004312 203573164 377870605 1000000000000000000 596483073 136729802 397764154 499572540 1000000000000000000 241258460 76145601 180733542 149918780 1000000000000000000 897020500 713016970 470673441 472113103 1000000000000000000 241006136 65803790 237969641 19562401 1000000000000000000 534992028 297138077 75242184 205638283 1000000000000000000 864617498 601067500 270068658 684468774 1000000000000000000 429858472 314312455 167824601 276592390 1000000000000000000 950681528 407394158 651629735 515428991 1000000000000000000 747453509 684096702 71586195 673745843 1000000000000000000 858444127 600272926 729306988 494143342 1000000000000000000 811955179 418285365 388256606 436669891 1000000000000000000 445593832 190400331 82110560 99178397 1000000000000000000 811611545 165960312 302397145 693540804 1000000000000000000 416306371 173304777 185335129 404972637 1000000000000000000 633582801 201350886 384512994 407616397 1000000000000000000 606461299 251535259 223380117 383544085 1000000000000000000 636128097 311126379 285356617 451990393 1000000000000000000 738905237 168525672 142652525 116873148 1000000000000000000 929316581 836533162 132393582 358308715 1000000000000000000 218115957 45095582 34636102 191624782 1000000000000000000 494578761 427844667 400940341 446414437 1000000000000000000 581343398 88862828 174888335 60352507 1000000000000000000 747943578 643629019 361651444 720246206 1000000000000000000 649246690 513472678 125347775 535499872 1000000000000000000 293807059 249975000 18666881 77459289 1000000000000000000 460616715 80327155 208634912 323683504 1000000000000000000 766828234 631774573 368159232 214676174 1000000000000000000 446709688 181032638 10294289 209222908 1000000000000000000 720407269 273282398 555778671 514247473 1000000000000000000 502830800 127523083 32957807 82470418 1000000000000000000 184439315 174295736 60717000 45864468 1000000000000000000 972366113 910476270 346712395 676536910 1000000000000000000 377992887 118854333 173726681 269923457 1000000000000000000 338834342 82753595 75363355 58707722 1000000000000000000 30448822 216129 21650064 29190429 1000000000000000000 171306592 152309317 83697212 32246598 1000000000000000000 904314978 839453558 166177389 219670210 1000000000000000000 869139000 257122136 379873552 457903206 1000000000000000000 762487021 461654576 585330134 331672937 1000000000000000000 460750776 176587043 273070468 333504059 1000000000000000000 731102503 347116125 684592653 416271678 1000000000000000000 672072691 132303325 287950489 527179932 1000000000000000000 295548195 46595516 23141034 139936277 1000000000000000000 561335137 191401852 343695433 445281088 1000000000000000000 577634220 416016095 198382521 107919298 1000000000000000000 447711893 422393429 286811185 137527639 1000000000000000000 741494658 668304779 601859798 523783933 1000000000000000000 43892457 43004046 13617895 13409176 1000000000000000000 964395091 19233990 207958147 615083491 1000000000000000000 743606925 201538464 711906335 447393853 1000000000000000000 285609550 158570935 232504448 85799338 1000000000000000000 748966421 572168899 326225557 230266598 1000000000000000000 38500106 28440097 6481573 3589205 1000000000000000000 548315802 540594085 132657299 341219321 1000000000000000000 207521435 18818313 133716201 50736056 1000000000000000000 240358711 13231191 9753456 47054686 1000000000000000000 994917116 690320176 250342779 360504543 1000000000000000000 787666528 309626484 471049107 649609878 1000000000000000000 453490445 274363783 60828355 147270397 1000000000000000000 370736777 101902762 355787551 199205893 1000000000000000000 313592459 146183227 295123385 188273745 1000000000000000000 964469138 590053782 929389452 847674955 1000000000000000000 385134453 123853400 280239100 231002517 1000000000000000000 130161780 52976340 27071740 13140535 1000000000000000000 342853244 7421559 156622627 158384097 1000000000000000000 177494693 102855507 44078284 115618908 1000000000000000000 576859421 63477825 307330678 300220248 1000000000000000000 463758254 337694512 50058762 179245693 1000000000000000000 973510272 410979607 298712538 716657689 1000000000000000000 996364093 657479799 52637686 409563611 1000000000000000000 947727512 418703943 796835394 770830918 1000000000000000000 298403457 253376584 167462096 292310903 1000000000000000000 536488140 223233710 280887304 449194018 1000000000000000000 929343296 558578681 307232655 353096456 1000000000000000000 78998951 51013281 18786706 30235618 1000000000000000000 746883153 119317271 408202600 648604974 1000000000000000000 792857967 321767179 578095356 249145386 1000000000000000000 8245399 6237050 8111932 5138259 1000000000000000000 446916858 416110018 389550649 217640508 1000000000000000000 560562679 351926999 350379486 382708939 1000000000000000000 682757557 608164340 18945207 209835007 1000000000000000000 298156675 186339354 287399662 8489907 1000000000000000000 828423748 640120122 192767092 22437867 1000000000000000000 541227002 398562445 122567755 182505801 1000000000000000000 701850421 134927763 604108260 204061975 1000000000000000000 143726964 9995633 23899475 31615274 1000000000000000000 284254069 282262307 180417209 207753511 1000000000000000000 862501780 616046838 417416597 349407205 1000000000000000000 110796719 70310835 88657358 72446552 1000000000000000000 789844985 80376488 369135167 777282583 1000000000000000000 407550374 174401258 257573131 206601675 1000000000000000000 9396487 1450551 1382532 8186956 1000000000000000000 143676207 38496538 22726692 39913954 1000000000000000000 231973302 18441530 59221458 71337172 1000000000000000000 717918652 429996967 331376911 302999605 1000000000000000000 459458091 96592870 54028973 329648962 1000000000000000000 562687866 173512258 330552184 503980781 1000000000000000000 400737939 31983907 287081810 45273186 1000000000000000000 951072141 621185443 309738371 623338266 1000000000000000000 809604971 636996090 269630178 732520123 1000000000000000000 617843570 510280726 373518293 443335601 1000000000000000000 570228283 326179339 39623504 41837933 1000000000000000000 313410453 111203173 17629461 197728072 1000000000000000000 26181269 14184550 3401033 9473752 1000000000000000000 160535814 70707041 111311797 70212305 1000000000000000000 37482551 14802389 1905641 667238 1000000000000000000 375872123 264099277 209063272 252146078 1000000000000000000 788604460 778730903 448828975 371851159 1000000000000000000 991359690 561409529 46186730 383948805 1000000000000000000 563589113 484030762 484767664 363355886 1000000000000000000 199868924 137001879 66361639 43191949 1000000000000000000 239301923 214645701 3751040 215660769 1000000000000000000 820723310 719654310 717958050 338466437 1000000000000000000 210200893 94530105 137118660 51934920 1000000000000000000 935366495 422217425 933832090 219263464 1000000000000000000 377045059 84592420 62703422 281378305 1000000000000000000 429307576 187903991 177104309 269209986 1000000000000000000 225205538 131499970 215905581 157300874 1000000000000000000 347584704 89963180 136672207 198362382 1000000000000000000 91650633 26905012 73753758 37486552 1000000000000000000 999180783 881960846 746980764 343051040 1000000000000000000 146484809 83735873 119543886 3819880 1000000000000000000 507500273 57146091 467498449 469623708 1000000000000000000 863951149 824535913 134600745 147640537 1000000000000000000 82648835 58049266 658864 70679305 1000000000000000000 39561646 36478607 11696571 12210247 1000000000000000000 626086571 537252135 79909666 191689150 1000000000000000000 910706482 770544185 785914116 393638528 1000000000000000000 171151805 77621128 86744335 83886047 1000000000000000000 163571855 79613974 107264272 71174829 1000000000000000000 934712221 650190646 166174752 178370387 1000000000000000000 679423764 350063075 148109835 653474453 1000000000000000000 845619744 588816625 554415944 605360714 1000000000000000000 473610815 281211775 338535793 198367484 1000000000000000000 846246450 369132133 797289354 202330549 1000000000000000000 965442364 534672481 11812131 563875665 1000000000000000000 624348820 36597700 535437295 150049632 1000000000000000000 955520841 37092895 335514883 463025188 1000000000000000000 986701418 888354301 474311697 377078338 1000000000000000000 183344517 118211557 139334782 69503907 1000000000000000000 603206761 364357508 224647704 284708702 1000000000000000000 202236929 194609561 114313016 69114888 1000000000000000000 485709815 110208375 259035870 467176515 1000000000000000000 3248636 3077295 2930922 3224065 1000000000000000000 541290968 115005108 267443251 509803003 1000000000000000000 124124499 105342407 60769267 70674924 1000000000000000000 270261640 70243750 185511807 40733022 1000000000000000000 617966788 104931132 220603902 534389849 1000000000000000000 706213038 533105946 167492424 561684735 1000000000000000000 317733642 11523198 153642810 101257606 1000000000000000000 655293856 12388656 347483787 26545706 1000000000000000000 407956425 127842218 156976033 1904273 1000000000000000000 605902229 76274918 72496796 456210748 1000000000000000000 750116573 438376965 654043801 303696402 1000000000000000000 917145749 105573474 734669513 666104411 1000000000000000000 37732256 4408311 9486327 33584716 1000000000000000000 579211334 133230140 283899516 274953968 1000000000000000000 796397541 54819710 334927189 459562710 1000000000000000000 32846944 22204157 8577481 10124387 1000000000000000000 793142006 58069572 698937670 5065713 1000000000000000000 930292541 389667689 923076170 895910768 1000000000000000000 603102691 428629771 93909292 142872837 1000000000000000000 819129252 475445360 596144532 467054604 1000000000000000000 481122540 48147350 258671974 426075990 1000000000000000000 69576695 52450589 12726156 66741465 1000000000000000000 93760315 18975306 18480689 41314385 1000000000000000000 252349944 122522366 218283705 123327499 1000000000000000000 661001110 629548113 25859486 441231934 1000000000000000000 682488425 8198685 412350478 522365114 1000000000000000000 296013677 53938804 102121695 83554802 1000000000000000000 133564480 10412110 88962936 91098788 1000000000000000000 173675896 9171120 99121534 18249415 1000000000000000000 62127740 55795803 35332882 55634056 1000000000000000000 815363605 310508028 785401883 416749921 1000000000000000000 844464059 371148116 771027758 235518470 1000000000000000000 509881052 106215370 305226916 113778505 1000000000000000000 961080751 841828885 796200470 140544894 1000000000000000000 124362275 19392438 73040256 74433709 1000000000000000000 483934896 302564015 455891813 410171391 1000000000000000000 845198823 684085852 679760203 285948449 1000000000000000000 235783726 20728953 79080526 183387243 1000000000000000000 596022744 380027927 21853012 528221980 1000000000000000000 226502485 64189564 84380833 118451316 1000000000000000000 111649504 61264789 83234554 15538786 1000000000000000000 226201051 25954032 219609664 191446702 1000000000000000000 526599512 388945552 347509916 205747337 1000000000000000000 855409563 287959950 375649167 782156461 1000000000000000000 525158374 417341052 205546217 410234990 1000000000000000000 957990036 291804806 595010414 71557437 1000000000000000000 468945925 417582242 360006228 334600021 1000000000000000000 885812198 568146404 68371941 347610646 1000000000000000000 848683823 447763434 7662218 666531044 1000000000000000000 609614524 780785 191397801 468795981 1000000000000000000 72978746 27707977 72951869 61338148 1000000000000000000 249101470 109298906 227285220 78750085 1000000000000000000 544861331 316056840 257469515 413885415 1000000000000000000 503573990 388212719 199502783 215240757 1000000000000000000 732360186 301283951 7568584 344689715 1000000000000000000 500026825 454584753 229657114 2677384 1000000000000000000 117273660 53781156 55758653 1908500 1000000000000000000 178464902 68241391 139113400 15733332 1000000000000000000 873778682 447957371 544080186 319127533 1000000000000000000 270016938 89308367 28038927 128026242 1000000000000000000 200863301 129761455 181492576 185583644 1000000000000000000 586990913 32296276 198706558 411070926 1000000000000000000 880005323 34926824 385919784 437919738 1000000000000000000 441430227 95832638 91698243 12399728 1000000000000000000 3216210 2857775 1939696 3185560 1000000000000000000 970465283 383426677 768020093 476039666 1000000000000000000 975791811 719868082 544999739 36656408 1000000000000000000 1641763 686529 1124443 556976 1000000000000000000 215099277 35926655 55678830 164684193 1000000000000000000 450898749 450788360 378693447 301226997 1000000000000000000 82006975 59285804 64065303 54050210 1000000000000000000 5619093 2204042 53073 4799279 1000000000000000000 112169336 66012793 12235493 88192939 1000000000000000000 14809049 50707 4634345 6733549 1000000000000000000 458695001 404843661 278768889 48765430 1000000000000000000 240840596 5405674 14390419 176355800 1000000000000000000 42062697 21628995 24171091 35905972 1000000000000000000 649732808 8469500 222674571 526976443 1000000000000000000 854912459 844175254 700390164 218520610 1000000000000000000 415015523 390394450 194868162 93670081 1000000000000000000 924265017 39948145 732667612 883223181 1000000000000000000 132178133 115802079 76551916 28631063 1000000000000000000 885373303 369086027 4756285 474447609 1000000000000000000 121114407 35605194 17089913 35737239 1000000000000000000 77607325 42144497 22126021 59530184 1000000000000000000 572658271 412498124 189451087 287569519 1000000000000000000 490430514 254766299 368195794 316745633 1000000000000000000 571954117 296231008 405022093 563755920 1000000000000000000 73919127 28895400 14276320 38127291 1000000000000000000 997590542 375977869 72963318 570435952 1000000000000000000 331078432 73376118 199461526 62248406 1000000000000000000 626649400 24358771 462525566 256910201 1000000000000000000 295602839 119059150 288118212 271192325 1000000000000000000 708669813 563490907 106339021 473213926 1000000000000000000 675879134 623090318 127036010 558865870 1000000000000000000 242802761 86000857 224891052 183316134 1000000000000000000 996971168 727175260 733074144 257490754 1000000000000000000 298340690 65306215 29793053 190123777 1000000000000000000 642947622 229054471 521671293 440822999 1000000000000000000 120541505 38563927 35317404 26498450 1000000000000000000 246605651 195921877 174749690 130324589 1000000000000000000 988935909 97952857 70346814 652376532 1000000000000000000 115432267 105701286 92467830 40301649 1000000000000000000 800113968 207020804 437263784 688344437 1000000000000000000 379427517 44807312 359628489 119837619 1000000000000000000 794405891 24513769 733191610 4806677 1000000000000000000 894410619 794793231 72856489 237216196 1000000000000000000 355448935 134149741 100787722 322393384 1000000000000000000 527283037 22108244 382967332 496474923 1000000000000000000 408128494 282327798 372332301 329881891 1000000000000000000 387452224 304155041 57775118 10014084 1000000000000000000 464828400 40701353 208769621 360245813 1000000000000000000 811289529 283953805 252844825 797714036 1000000000000000000 741092127 107509174 597597902 489734529 1000000000000000000 297607883 248219173 295997035 146688064 1000000000000000000 919525803 891937415 320624993 147980451 1000000000000000000 950562774 210209806 364860535 737573843 1000000000000000000 106309199 97296077 26160271 103114334 1000000000000000000 27935123 26374468 6206734 21490549 1000000000000000000 519754343 354371188 403945243 423708342 1000000000000000000 5839586 1951496 3548786 4202311 1000000000000000000 114126651 57849361 66244604 67728314 1000000000000000000 199846195 177786208 41449063 171117158 1000000000000000000 899974027 353904894 435627996 422537574 1000000000000000000 78022024 75122821 14483428 48393861 1000000000000000000 918799538 572792784 592620694 681553409 1000000000000000000 285382954 248989305 166657571 82709375 1000000000000000000 52622230 28197499 8542568 22150293 1000000000000000000 309811246 130005080 18980626 102261417 1000000000000000000 959142247 711354382 531802153 803463133 1000000000000000000 462462976 195676337 272297406 404994290 1000000000000000000 829827953 126898889 143973700 297075294 1000000000000000000 365724469 11622617 233222490 318648607 1000000000000000000 898394411 783336539 309791094 442147279 1000000000000000000 468954455 318199198 228179116 274108199 1000000000000000000 499040654 356585045 357885009 489075803 1000000000000000000 584069371 96556183 430387113 45355885 1000000000000000000 67293855 30675080 36999995 45167650 1000000000000000000 533623390 355397389 147453019 88594529 1000000000000000000 872526734 398303750 695701626 641003249 1000000000000000000 936039129 885816898 840671317 674637741 1000000000000000000 899741523 567306655 318671187 637826392 1000000000000000000 350287152 74746631 292942949 128596492 1000000000000000000 216617432 55085578 78063183 8327206 1000000000000000000 304453878 114175801 228989448 104443899 1000000000000000000 405331688 374477262 327593713 118691774 1000000000000000000 664200586 268686301 102019935 436308478 1000000000000000000 109006888 39464470 63312691 25064637 1000000000000000000 718491133 403872337 388750208 388718456 1000000000000000000 873799699 309392372 489216178 807920903 1000000000000000000 901648499 165617415 318361433 804300534 1000000000000000000 169028219 164159001 85130119 17684868 1000000000000000000 925686750 345222704 202358955 862848190 1000000000000000000 802153602 188714965 326373885 534762842 1000000000000000000 568066385 397467822 460117346 78696463 1000000000000000000 522340344 494418297 448511971 198378229 1000000000000000000 878727245 408729869 851636057 63245751 1000000000000000000 357185335 328867360 213021373 330499127 1000000000000000000 593595567 220155410 185287963 137421917 1000000000000000000 83383792 80673166 20321671 57010126 1000000000000000000 661233988 629123229 397688152 541723951 1000000000000000000 100796035 88129918 34025814 55126806 1000000000000000000 736184502 724518951 473039819 294174456 1000000000000000000 229289633 46491086 141573482 154946475 1000000000000000000 415616012 389201398 341774177 241051464 1000000000000000000 317174054 306994222 122923286 4616629 1000000000000000000 467484739 319030985 288335454 361984398 1000000000000000000 481399323 177864091 209992987 335826258 1000000000000000000 908475356 657522888 776582917 714706600 1000000000000000000 238166643 149625457 120890954 8551221 1000000000000000000 814571692 45447964 464647465 675714896 1000000000000000000 865777601 856786975 272401519 441619809 1000000000000000000 663374782 362340139 450684311 89251513 1000000000000000000 704011907 555531048 335861207 501006295 1000000000000000000 311344922 143156154 136551568 191631139 1000000000000000000 682906963 27367254 150205596 607088488 1000000000000000000 539614083 438365444 503876596 11564961 1000000000000000000 607166326 485610531 82107606 385174404 1000000000000000000 7474564 3647085 3647646 6269965 1000000000000000000 995870787 622561149 871654823 978770553 1000000000000000000 776012763 16815853 736616490 610343622 1000000000000000000 458901123 126964897 271610922 328297362 1000000000000000000 563453782 531273857 300724933 436748896 1000000000000000000 691665140 609625700 412490061 437620380 1000000000000000000 93142045 13802197 24060688 12501028 1000000000000000000 973437773 598958642 863627646 836830952 1000000000000000000 190625289 66519543 29567634 148257889 1000000000000000000 239971085 193220662 67141610 145412779 1000000000000000000 852199860 16203949 840742247 768984373 1000000000000000000 46246165 10075986 12890489 26965276 1000000000000000000 186555280 138592553 54924060 116808600 1000000000000000000 192182778 25532083 6173450 106817389 1000000000000000000 956339737 383535587 300790849 361696205 1000000000000000000 681930777 188133175 31807850 607405952 1000000000000000000 524549492 370703537 486047264 339160190 1000000000000000000 581338770 448421953 310721067 213547372 1000000000000000000 54984973 5192232 6054313 15395587 1000000000000000000 638000324 161938989 544219015 343065502 1000000000000000000 753746120 554306394 617066173 113073511 1000000000000000000 322871501 135720674 6991506 115760912 1000000000000000000 476152600 216379072 451462384 356373273 1000000000000000000 668683754 302956325 440806236 149623615 1000000000000000000 232396053 220609339 205051641 123093310 1000000000000000000 800187208 71565921 66137830 742522197 1000000000000000000 567731365 519506921 265828467 490878847 1000000000000000000 289681746 115372502 226467913 254210395 1000000000000000000 864741902 848375436 382833056 159200312 1000000000000000000 19970502 18982538 9466169 17887522 1000000000000000000 397901689 17185581 256186409 121663588 1000000000000000000 812749026 112808023 246681930 793154628 1000000000000000000 585621141 233621583 24851592 135205610 1000000000000000000 294433636 254416434 66949307 114499140 1000000000000000000 260130948 158710350 52892497 206900919 1000000000000000000 426375688 95984273 203746080 12955220 1000000000000000000 891455632 167523389 551109345 838088748 1000000000000000000 742812766 284385578 679898637 372597648 1000000000000000000 950145494 838598673 766067803 280748339 1000000000000000000 249630016 207887878 25641356 74509616 1000000000000000000 11294559 7516155 10550494 762517 1000000000000000000 843270400 45237902 787651953 418875522 1000000000000000000 466711460 139404134 197102994 356704571 1000000000000000000 517899547 38129988 63053790 151454543 1000000000000000000 416031020 156288128 158853509 134578705 1000000000000000000 525223645 217316485 307544314 150045876 1000000000000000000 452324076 60691967 371087340 24331792 1000000000000000000 167781160 50716461 69817335 154552693 1000000000000000000 189373510 167724035 21954670 93630175 1000000000000000000 590899831 402008738 23566384 150874679 1000000000000000000 216770842 92696833 37464989 38921941 1000000000000000000 753064707 19438794 13969691 193698426 1000000000000000000 993306102 527362570 980136816 853303797 1000000000000000000 739543683 295955354 213023647 269589887 1000000000000000000 369359010 127182900 26045089 15526920 1000000000000000000 189257222 100838382 84407180 48209896 1000000000000000000 98746203 50888820 18999305 17822772 1000000000000000000 209235136 57611288 170320625 43205868 1000000000000000000 246588984 115792783 130353326 178989675 1000000000000000000 177040311 8222838 129323405 72899204 1000000000000000000 261915362 157696121 16817455 128049449 1000000000000000000 842124148 220610741 262447727 205054601 1000000000000000000 492347012 464234072 244233340 447006084 1000000000000000000 743510052 415728999 561487725 17927050 1000000000000000000 619603993 173397511 75824908 391646880 1000000000000000000 879194256 120068829 191660031 863558083 1000000000000000000 618295014 432038605 602716485 506502410 1000000000000000000 860516738 719744590 116055609 789156986 1000000000000000000 715143739 381104991 362545469 706444598 1000000000000000000 180988476 74604929 75364701 131418572 1000000000000000000 107518979 31674416 53444822 14340162 1000000000000000000 46362887 3544210 15121436 35860110 1000000000000000000 248306436 64274063 136794733 89423299 1000000000000000000 225645583 119156168 89164875 122408395 1000000000000000000 959834237 2145538 405522967 641685093 1000000000000000000 362298553 115279591 28086007 94973146 1000000000000000000 907061721 115883646 554382052 725366579 1000000000000000000 853984894 787481079 404055177 556004909 1000000000000000000 988674025 18453946 463922901 329019040 1000000000000000000 857858005 575310268 675592094 302531176 1000000000000000000 67882222 66197037 65205897 50954407 1000000000000000000 576783993 340244193 495769173 336297825 1000000000000000000 63770292 54637022 18878230 56486552 1000000000000000000 67401434 39731843 64460263 23496131 1000000000000000000 187168108 118417459 81246208 70688156 1000000000000000000 76120598 51610143 10639390 45471260 1000000000000000000 730824623 111010461 455729713 468958209 1000000000000000000 255347325 13477136 200480835 222516499 1000000000000000000 842697762 112244343 682715736 588941450 1000000000000000000 837813828 822328738 225455800 643342126 1000000000000000000 875923410 678834051 358634951 610632825 1000000000000000000 877400312 706004859 358491471 443672137 1000000000000000000 895589357 114666621 843191386 322892110 1000000000000000000 178826971 88453040 168990149 15539787 1000000000000000000 109057413 82835825 52108119 42310029 1000000000000000000 399730439 179409631 137375736 388821938 1000000000000000000 837648776 775222909 525180266 696572202 1000000000000000000 737687178 710498015 580029511 682957507 1000000000000000000 667222062 419466056 611479810 658876955 1000000000000000000 236673890 171106945 224670712 33283469 1000000000000000000 409574777 168435194 187615626 29017098 1000000000000000000 564787357 414339815 551994036 272834874 1000000000000000000 26425435 14506361 16338222 13065359 1000000000000000000 922792314 850592703 327004413 376858534 1000000000000000000 677646318 630635404 605100875 436862360 1000000000000000000 64966272 5541699 61594575 2827607 1000000000000000000 2276082 1029834 401305 2223247 1000000000000000000 503472971 490284714 358072721 476072658 1000000000000000000 104991302 28415207 56996453 53852801 1000000000000000000 82758445 22709068 28302955 51004391 1000000000000000000 590479400 32351376 426570024 209541417 1000000000000000000 829671906 579304846 766133745 333340099 1000000000000000000 486088155 193183955 115527910 284185685 1000000000000000000 849051663 800222619 438810897 350986232 1000000000000000000 15390674 9998867 2935084 6477905 1000000000000000000 835052390 312336646 602145900 103076512 1000000000000000000 202884352 190454363 5577410 111466542 1000000000000000000 362201569 98512219 120387507 197566129 1000000000000000000 72095660 5456499 16975537 30065169 1000000000000000000 339903872 31275329 89193163 150950124 1000000000000000000 571163964 392590952 234164226 423797999 1000000000000000000 462359394 405197573 203338295 366968836 1000000000000000000 956436386 135100788 161079889 846901061 1000000000000000000 418261396 258766993 415432651 376974234 1000000000000000000 249447739 199809524 216780173 155016471 1000000000000000000 853745540 179282451 681321074 227964590 1000000000000000000 513859340 11171321 196533292 243453137 1000000000000000000 626903104 499604320 436811026 495584794 1000000000000000000 913129383 821582697 662272155 366352360 1000000000000000000 915908274 475953409 669539537 613923582 1000000000000000000 653420696 20615895 202182776 388427802 1000000000000000000 827071061 311005847 231113152 189657407 1000000000000000000 867551552 76232901 94795524 861677976 1000000000000000000 992339128 532542873 271192590 775468780 1000000000000000000 590679344 580924610 158498328 296169028 1000000000000000000 310203786 209183554 210332913 215023599 1000000000000000000 197711852 45668497 41278882 96205493 1000000000000000000 968185423 524147847 700317868 47080029 1000000000000000000 29798125 6252162 28719648 5263690 1000000000000000000 357327036 271601270 148597785 195241168 1000000000000000000 806581537 587584544 348956123 756749321 1000000000000000000 621764795 521736124 294924150 327323257 1000000000000000000 736646603 105724807 58472949 199571411 1000000000000000000 368124746 149778616 64698183 307701413 1000000000000000000 329399162 247441669 173137771 325470516 1000000000000000000 156028124 77361750 40846074 36284247 1000000000000000000 185536278 143617959 122304299 26336150 1000000000000000000 252293737 227584131 249690149 151432427 1000000000000000000 382114561 230151132 142782896 249624163 1000000000000000000 140906055 52127236 50129454 135911412 1000000000000000000 887042610 741409897 346397280 28252251 1000000000000000000 130859517 19883898 97430940 82843267 1000000000000000000 996697182 701276939 434107678 800971522 1000000000000000000 836277242 450990568 70735200 752532767 1000000000000000000 198457527 97810234 100792707 22331183 1000000000000000000 329933386 72223455 36411054 247380432 1000000000000000000 321576299 133396795 308359018 47020701 1000000000000000000 125015524 96554833 59891783 123996587 1000000000000000000 276788499 142709830 29055415 41987130 1000000000000000000 820765542 126403977 307183785 484124610 1000000000000000000 67879293 9717059 23533718 63983674 1000000000000000000 674610470 426161106 485908911 44418407 1000000000000000000 700206672 500953071 536648947 468294767 1000000000000000000 644530108 474690465 570855145 2493250 1000000000000000000 882934899 762437884 85734949 286120518 1000000000000000000 810588209 19515813 161640954 500858852 1000000000000000000 419338146 405793136 114008043 196104591 1000000000000000000 566586710 483622728 331098139 452066526 1000000000000000000 674719232 584782926 4381688 173851131 1000000000000000000 211620244 38216248 147151285 68124335 1000000000000000000 735675354 451236899 30336822 127483973 1000000000000000000 825690047 416034322 330208569 218735251 1000000000000000000 767570781 564016749 15798883 410425205 1000000000000000000 55235474 15624063 28416497 30241109 1000000000000000000 911815626 423837566 288541980 843578190 1000000000000000000 338624857 201488800 326026409 208487917 1000000000000000000 454385839 35966948 410311094 417525119 1000000000000000000 707877023 438539177 490706825 61259371 1000000000000000000 931345327 529501806 611868959 102264556 1000000000000000000 212360947 121307237 171827233 183655220 1000000000000000000 872543517 123117980 467386859 1129285 1000000000000000000 488199767 114426559 218126786 298833581 1000000000000000000 766958344 715589903 102055875 216260540 1000000000000000000 720128351 100332834 14974025 445021736 1000000000000000000 45047644 40870478 22111379 14915468 1000000000000000000 117631601 47675611 76862480 14420297 1000000000000000000 342075121 299133137 105130626 13712391 1000000000000000000 838782245 2680652 290873578 700360602 1000000000000000000 140496885 83335661 65043733 74023916 1000000000000000000 611341199 100055329 313788953 552884229 1000000000000000000 888777954 762542063 418937052 131126152 1000000000000000000 950873321 805745401 365447006 880349011 1000000000000000000 523454583 217386966 257878730 230297915 1000000000000000000 549827481 167430572 337143428 61434235 1000000000000000000 991819466 927095022 351421507 346571090 1000000000000000000 913059954 18070998 591438044 296016327 1000000000000000000 947200984 582691422 839774144 939545117 1000000000000000000 882440155 449035342 854209690 575492383 1000000000000000000 235570032 92428146 79507366 73512639 1000000000000000000 175829749 47505225 1655340 125585795 1000000000000000000 839279852 300519639 681092574 287383682 1000000000000000000 838426169 641789485 412114610 410818750 1000000000000000000 306842192 210508311 31778192 208550573 1000000000000000000 52743418 15752054 19294567 16939364 1000000000000000000 95115246 57327210 63567543 18718115 1000000000000000000 412806846 259701858 30168966 288213112 1000000000000000000 325836860 65438253 230477598 116774527 1000000000000000000 601399784 172601705 182259042 160278220 1000000000000000000 318211717 131037262 238340684 95015693 1000000000000000000 604289894 507222793 166905370 192968628 1000000000000000000 714518381 580938393 692724582 83739385 1000000000000000000 453249786 47356441 145388022 159867184 1000000000000000000 590930814 572782211 70789803 559294297 1000000000000000000 338862844 165213178 239244335 102046368 1000000000000000000 851821111 504470254 33662249 670938797 1000000000000000000 811295958 180826715 519804940 621524217 1000000000000000000 7211776 152673 2656559 2294069 1000000000000000000 417882505 194189350 57352093 332054621 1000000000000000000 553824775 317109478 380629030 143651094 1000000000000000000 337819211 129532161 23735260 16427086 1000000000000000000 936541870 356934191 315910557 817089021 1000000000000000000 997028149 124664392 131145185 741949308 1000000000000000000 535709299 518105551 333421009 324067720 1000000000000000000 163911435 72474212 44444817 65580704 1000000000000000000 544033549 191102129 271696166 149634165 1000000000000000000 190628728 31533364 185698762 52945680 1000000000000000000 565732211 45251776 1226549 108436375 1000000000000000000 67856596 47997835 2974163 23165847 1000000000000000000 659506706 458003250 21410265 371535425 1000000000000000000 831401970 639734695 722847683 403678729 1000000000000000000 931425044 203648004 169246195 718128174 1000000000000000000 650246831 283271305 116775366 353205378 1000000000000000000 431021263 207816705 39147212 319806946 1000000000000000000 506548525 406599093 291716228 310725067 1000000000000000000 86025573 75418940 60811066 3502967 1000000000000000000 724870001 565169844 230762394 697858470 1000000000000000000 150315019 120354807 145683861 24079909 1000000000000000000 331765205 111128787 92318382 83209979 1000000000000000000 831375870 159145375 387638990 608608955 1000000000000000000 67772658 966363 45734433 4011320 1000000000000000000 169333869 19170409 82893615 65133044 1000000000000000000 148779582 99258927 68809254 88091053 1000000000000000000 511383736 444430224 222030556 448300023 1000000000000000000 32552811 23566572 25037694 21688624 1000000000000000000 398732691 66750851 8282383 57297277 1000000000000000000 45423585 33186085 20884801 16805804 1000000000000000000 945392643 114770992 780801335 268851661 1000000000000000000 23716104 1257503 22570457 19704728 1000000000000000000 14268708 8829780 12916887 11953266 1000000000000000000 138050710 31311211 33274710 134938932 1000000000000000000 440066167 311712934 88629689 256937694 1000000000000000000 699292205 122274975 475968831 113041372 1000000000000000000 458692938 216706476 307057259 354344736 1000000000000000000 695818360 508932280 638687671 654549538 1000000000000000000 758000379 284075089 190679075 138549128 1000000000000000000 451776754 153242190 59815925 131598414 1000000000000000000 254845494 15164439 239918856 245200163 1000000000000000000 267594730 38788871 12099266 158568437 1000000000000000000 774111446 493905156 345939582 303701644 1000000000000000000 225892232 167900573 13661308 72852890 1000000000000000000 791460797 705240151 332553463 697707654 1000000000000000000 820515287 704314888 571214818 514661874 1000000000000000000 429163487 412305759 25011247 19991966 1000000000000000000 133888512 113141848 51303242 34507259 1000000000000000000 999391850 912609533 130269817 942391272 1000000000000000000 755868966 512038914 285467167 687651106 1000000000000000000 872661617 239273195 163229343 314225397 1000000000000000000 825379129 290100765 197605854 437653071 1000000000000000000 428868602 4042145 31912916 157090374 1000000000000000000 992275660 243022762 950563097 884061504 1000000000000000000 996111879 269370335 528502845 851966365 1000000000000000000 247197175 37463741 134005865 220615576 1000000000000000000 212293344 180314993 97688226 9888275 1000000000000000000 636108158 1004329 264195206 8628789 1000000000000000000 680175210 341673900 2367919 114494062 1000000000000000000 544278819 76600744 243570702 104331552 1000000000000000000 529791554 86656930 429201099 296758875 1000000000000000000 704126611 155239004 657637918 273905263 1000000000000000000 972430539 421437057 494434198 704402003 1000000000000000000 191725399 122229392 23226977 97515800 1000000000000000000 664265112 577141131 103228323 132044546 1000000000000000000 24994062 413890 20621331 17699732 1000000000000000000 894934704 348582795 860437032 267223791 1000000000000000000 3292037 1512853 856382 2119084 1000000000000000000 915759351 670667282 388290020 687385092 1000000000000000000 71957023 1020727 62383807 3580464 1000000000000000000 316181064 160950509 146746148 169060425 1000000000000000000 380184227 26598171 34367109 193656308 1000000000000000000 95135743 64311146 60238428 27581434 1000000000000000000 997980604 373979603 911988754 23352519 1000000000000000000 808980622 690541716 301011457 599151611 1000000000000000000 106065407 58164309 4489783 100984378 1000000000000000000 835860816 161627297 726878735 582603566 1000000000000000000 316210802 8275030 157005588 41331637 1000000000000000000 382041259 50701274 243465015 199335187 1000000000000000000 703458640 282619233 188818233 299255048 1000000000000000000 645643774 42751314 421555093 623441088 1000000000000000000 487289345 322998025 170449614 395273360 1000000000000000000 719452941 293762289 450641535 397632478 1000000000000000000 124421873 40029274 65783821 88910877 1000000000000000000 90483772 49699168 37135883 63565195 1000000000000000000 687990620 284419853 307278005 312647934 1000000000000000000 71736896 116053 8842768 67913536 1000000000000000000 409502680 282871648 176147156 353428846 1000000000000000000 972335590 506919879 764839532 362582281 1000000000000000000 94269874 30409024 67521679 25623356 1000000000000000000 839984671 798957364 203520694 210062750 1000000000000000000 149853718 121274517 126413175 51904685 1000000000000000000 420663510 185144666 327144022 418223469 1000000000000000000 727243361 365954055 112971987 481679748 1000000000000000000 87836989 58100789 86854771 9553524 1000000000000000000 438543791 270217775 352793995 379950125 1000000000000000000 178510921 153491025 124603927 168416161 1000000000000000000 17657143 6699333 9728752 13504547 1000000000000000000 432259065 257542563 248239335 193766279 1000000000000000000 436031048 293084893 231690504 279918004 1000000000000000000 740232381 591806421 112508963 470015132 1000000000000000000 592240881 139388808 413622268 336729775 1000000000000000000 251416988 26811794 179184676 33106476 1000000000000000000 553306631 90915117 250143942 159754628 1000000000000000000 822413014 253598819 369036905 465552872 1000000000000000000 694453058 137813643 551073068 7967260 1000000000000000000 780367947 422716079 200779637 679666397 1000000000000000000 325870318 157478323 60724004 223623001 1000000000000000000 881398307 489097537 409478619 144459664 1000000000000000000 53060033 11237679 46824721 45253277 1000000000000000000 907163409 769490240 686269367 764055487 1000000000000000000 518660698 269724273 259520013 392353844 1000000000000000000 931308366 67297457 315256773 279906419 1000000000000000000 405499990 181217666 288540249 364469735 1000000000000000000 780320312 231204256 283277462 54520860 1000000000000000000 956222224 887148653 751820830 875083074 1000000000000000000 314368621 37904369 96017959 196461256 1000000000000000000 730277810 361670806 155637920 334779233 1000000000000000000 30905960 16770164 10664182 16447340 1000000000000000000 736942512 576130146 126233461 496363476 1000000000000000000 419003291 360826484 284742084 37481880 1000000000000000000 911375997 506035706 105584531 627370449 1000000000000000000 185055460 158206268 119128662 86444360 1000000000000000000 160627743 148355219 131781884 7200992 1000000000000000000 530749168 183590611 387426218 343264113 1000000000000000000 409433187 322958704 257673954 88972801 1000000000000000000 18773053 13436282 8263651 3094255 1000000000000000000 752832415 212689616 43393101 302083893 1000000000000000000 872168452 172661213 195653088 521789872 1000000000000000000 437771872 193564407 415037159 23748153 1000000000000000000 361183036 178225300 12790187 49515319 1000000000000000000 506662561 397192185 267853406 187096192 1000000000000000000 17676837 6283336 16298407 14993992 1000000000000000000 415952837 375652978 223158527 218711843 1000000000000000000 607648 387771 250128 325570 1000000000000000000 481052363 318875937 196677537 443390339 1000000000000000000 424104823 147023658 65514263 68857865 1000000000000000000 81929167 47596746 28183482 55767766 1000000000000000000 794454244 485615490 253801746 480015441 1000000000000000000 280349338 224817616 120252729 155253068 1000000000000000000 249740387 246036895 134016672 148315660 1000000000000000000 580810303 433569879 222969027 5784482 1000000000000000000 382041449 274799017 298506385 139311063 1000000000000000000 455032019 106316442 633990 146762008 1000000000000000000 301638282 45235798 51099619 277496542 1000000000000000000 751833263 586245606 613028977 361726316 1000000000000000000 15435346 11119230 14613717 9603880 1000000000000000000 188076229 84792406 151074917 151980676 1000000000000000000 377379408 148030583 162139753 92255929 1000000000000000000 936433537 676163168 32846842 195378152 1000000000000000000 368041811 261147240 56242464 287896057 1000000000000000000 111621923 68549689 109182103 24484731 1000000000000000000 313132663 246732351 189932726 280375610 1000000000000000000 605458621 355950084 144739688 247088388 1000000000000000000 387308408 142592733 304294558 54321155 1000000000000000000 672187687 660753027 85425364 367128999 1000000000000000000 64950456 56893895 18323728 2322864 1000000000000000000 246284157 156574211 65361633 95129026 1000000000000000000 921739715 713196180 617120421 597518425 1000000000000000000 978496847 548964711 770322651 854487251 1000000000000000000 544991693 123558949 187651423 502197617 1000000000000000000 310943651 16541346 161670749 80495753 1000000000000000000 61806689 7122516 12861661 16105123 1000000000000000000 955756275 386168373 392369901 540576756 1000000000000000000 256534861 200113109 210969801 157291407 1000000000000000000 394861941 60228250 255537662 3618302 1000000000000000000 769501556 678525623 583783328 192424369 1000000000000000000 403443600 342501027 148860551 185646971 1000000000000000000 561393108 98750273 111427881 182970306 1000000000000000000 258080779 66265224 240575238 55615873 1000000000000000000 447735585 309155467 259469895 239890978 1000000000000000000 870699212 786403233 279420144 670647280 1000000000000000000 272760920 7375305 118997442 243533522 1000000000000000000 320661119 175341901 133939157 64572 1000000000000000000 943003339 552172272 41648008 159832890 1000000000000000000 863550849 399022313 44321558 196349225 1000000000000000000 564691359 383087413 106523094 320967456 1000000000000000000 436985776 314197681 180136579 326490482 1000000000000000000 739957497 19299358 151958063 592411445 1000000000000000000 196778489 144312172 191496863 114223121 1000000000000000000 745545166 696050473 25481011 646465198 1000000000000000000 569158943 138222471 315469155 117009021 1000000000000000000 749793232 344957493 108738830 582584809 1000000000000000000 544889601 152055727 33487622 213591443 1000000000000000000 39726359 36522681 34904195 14945845 1000000000000000000 542880110 411405421 280687877 535993416 1000000000000000000 850111535 70963706 834698493 213516657 1000000000000000000 394684437 264480713 185222748 43728225 1000000000000000000 979619994 401254806 315427300 275379708 1000000000000000000 670346615 581847787 476235644 438433367 1000000000000000000 68284451 60335540 714293 16422074 1000000000000000000 18129803 7788915 6926373 2095587 1000000000000000000 385554317 81706044 177767283 60602895 1000000000000000000 713647672 372991065 71391529 531755641 1000000000000000000 533923364 333841840 63517286 24296803 1000000000000000000 94643186 17476550 62606932 8176732 1000000000000000000 225880851 86146256 181520426 190209270 1000000000000000000 524486410 329622148 261704490 432327718 1000000000000000000 610844099 96867546 390803547 202292779 1000000000000000000 893927651 28475543 143151147 802220269 1000000000000000000 890935046 598083467 57998662 122147879 1000000000000000000 257993612 206343458 7783097 155025768 1000000000000000000 604254460 123603761 255472939 291725583 1000000000000000000 836188603 297402199 493735826 616559077 1000000000000000000 395963881 375573408 297392743 341428499 1000000000000000000 20774533 20319594 5800037 91785 1000000000000000000 457372639 4814102 166926683 33152332 1000000000000000000 201768562 138476329 152710722 128533969 1000000000000000000 177803201 59156305 125126500 158992655 1000000000000000000 19146908 3889158 5585255 8431434 1000000000000000000 153444931 20627738 21467021 95888915 1000000000000000000 200539709 143890807 61511375 162237308 1000000000000000000 927968736 460178290 332120086 520794184 1000000000000000000 793772396 245069114 629953062 300271118 1000000000000000000 678870136 352149256 515301016 25161730 1000000000000000000 452978852 201594333 261766447 205286098 1000000000000000000 124622228 113436287 60376162 50741838 1000000000000000000 81252060 28998193 55445635 24677147 1000000000000000000 63771081 52642896 46168101 23905209 1000000000000000000 279717818 187314099 1023680 207734934 1000000000000000000 230381416 102209596 38592679 214690408 1000000000000000000 297475507 241799238 255566079 89898472 1000000000000000000 929098452 219094605 673537327 857389284 1000000000000000000 911158987 834795725 18265456 98068835 1000000000000000000 266216994 198354972 147708588 156417288 1000000000000000000 771526908 173430243 612813687 725127628 1000000000000000000 728937221 129984443 587391393 352871818 1000000000000000000 503020907 436375136 52751297 494855897 1000000000000000000 57142803 37078968 40664731 40202166 1000000000000000000 668452448 353641435 332383003 17388979 1000000000000000000 406753413 313130709 371256522 346290384 1000000000000000000 58572294 9740124 49191732 6368435 1000000000000000000 917062063 270841174 877862326 772889074 1000000000000000000 97066873 73805225 85981724 93138484 1000000000000000000 69631615 33490098 13799191 1397426 1000000000000000000 422240540 92894419 382877331 366957489 1000000000000000000 370027293 332904904 361006300 331168037 1000000000000000000 793225397 256625356 47928911 325632991 1000000000000000000 900831019 41362693 686605236 319723525 1000000000000000000 799366086 215637452 794363871 338730828 1000000000000000000 371179992 345381236 314508580 163361128 1000000000000000000 458723843 117873895 397237546 87700454 1000000000000000000 437328493 14112208 23115141 96020006 1000000000000000000 751447317 718604876 479275807 416557361 1000000000000000000 369156042 3260662 11707511 181785171 1000000000000000000 101651639 47512961 34744007 56460343 1000000000000000000 576438784 559062319 480037590 402222302 1000000000000000000 754481571 392692097 248716131 283519399 1000000000000000000 639676699 523435642 230725195 515713029 1000000000000000000 192072777 104131817 156445392 52904440 1000000000000000000 74418629 1346029 36588625 11868867 1000000000000000000 653058807 144774361 405496681 307884485 1000000000000000000 721802362 117088371 712266595 392328000 1000000000000000000 389768117 106466085 64221024 340643662 1000000000000000000 933623697 770114775 588604485 329040053 1000000000000000000 317812990 236591341 32006293 278856440 1000000000000000000 32145310 14454396 16080189 24256391 1000000000000000000 905734427 18119854 442462654 780515344 1000000000000000000 475962750 133930891 105363383 32847227 1000000000000000000 497840797 440758260 258025624 141512119 1000000000000000000 673493840 82297247 258099409 449609119 1000000000000000000 875333034 600745178 677169259 306784205 1000000000000000000 452705616 409002982 190668856 45736148 1000000000000000000 299920188 150313565 106890043 77506059 1000000000000000000 790039160 408292021 342523857 327539807 1000000000000000000 554193812 433933733 286011829 251954907 1000000000000000000 55705811 15501502 55249601 19623607 1000000000000000000 946793532 35071250 211769536 623022520 1000000000000000000 998735552 30338357 963831401 823560651 1000000000000000000 133327488 81067384 35926712 19776784 1000000000000000000 376744397 314895164 121445441 374711932 1000000000000000000 10202260 7384082 2393159 3246519 1000000000000000000 770535990 554252353 559188030 298446920 1000000000000000000 478714636 168301023 401460157 233892599 1000000000000000000 440618289 359661571 110934398 237381823 1000000000000000000 815315331 296158264 542179178 71540322 1000000000000000000 261719513 44308382 97624298 226892936 1000000000000000000 687596305 88789977 320324131 234722654 1000000000000000000 35891478 26840998 19109004 2775921 1000000000000000000 477906967 155932143 389842785 176472775 1000000000000000000 448039742 358368247 87210349 382911533 1000000000000000000 133057099 125445072 104300924 29256745 1000000000000000000 147846205 99426657 109396505 87340156 1000000000000000000 671861925 322397786 318773549 135245948 1000000000000000000 201425778 17359551 56961229 183152758 1000000000000000000 737920624 99969795 165689019 546785406 1000000000000000000 235609383 51580793 216314639 75604051 1000000000000000000 998205147 263375644 645657812 376905403 1000000000000000000 645930732 584807593 336477617 348016671 1000000000000000000 250426165 136981037 212410486 179519885 1000000000000000000 219560346 135494479 175940535 8240027 1000000000000000000 460978142 189366888 122314885 328597395 1000000000000000000 926821794 336154193 227814641 409780142 1000000000000000000 844989688 752902345 15623818 546509144 1000000000000000000 975270927 757446018 142689097 590545185 1000000000000000000 336315014 131885715 47927572 82338645 1000000000000000000 32969086 11153049 9498314 12186127 1000000000000000000 369255042 323341596 258341089 323779772 1000000000000000000 752844306 467304573 366927178 740797572 1000000000000000000 409562299 340173173 214890857 321311277 1000000000000000000 566668940 277510315 466766069 222738423 1000000000000000000 507866095 276914717 31451871 408546034 1000000000000000000 940541090 67104704 683449182 88566617 1000000000000000000 667824195 469404093 575527559 429607106 1000000000000000000 401340882 73426602 60615685 144510719 1000000000000000000 241285388 64148691 80753650 104957131 1000000000000000000 252214169 115601080 2380111 98411309 1000000000000000000 180047740 108047064 162432362 146392007 1000000000000000000 475657607 254251822 313889443 459024622 1000000000000000000 17891049 581508 14804802 10865951 1000000000000000000 384960303 262912578 354557468 323533663 1000000000000000000 587761734 538929287 204661370 510015192 1000000000000000000 13454260 11545213 6404612 6131621 1000000000000000000 678332591 69358580 145123953 18055208 1000000000000000000 443538100 257248620 375160869 378055186 1000000000000000000 301091739 17792227 104754547 3387791 1000000000000000000 812754262 771427156 182007159 776300147 1000000000000000000 568001485 464022972 238837733 178814546 1000000000000000000 988753093 710449214 125829589 254903999 1000000000000000000 255101823 44448920 153048990 113165528 1000000000000000000 669854495 430302710 372449815 170935374 1000000000000000000 584809815 510276010 349550042 168957844 1000000000000000000 106378895 59340638 3101307 83381013 1000000000000000000 493937857 88450623 193012206 60531842 1000000000000000000 423809379 261850670 421549022 370280884 1000000000000000000 969770087 957467612 742034845 563177808 1000000000000000000 729475644 622974371 159375532 53182189 1000000000000000000 989329386 639119333 759906852 847967727 1000000000000000000 72905218 9400277 43477801 48509396 1000000000000000000 82575464 62953268 2458933 41393437 1000000000000000000 15649430 15544150 8493737 1693473 1000000000000000000 744105440 586832992 679844674 524420645 1000000000000000000 964498463 753767574 51229605 232143403 1000000000000000000 573619479 209069161 336901643 242812795 1000000000000000000 986203734 201531193 655536223 484028365 1000000000000000000 219891512 178999101 96398166 198133185 1000000000000000000 528276716 488768855 10420575 153205368 1000000000000000000 634242825 604760004 52843396 372364141 1000000000000000000 431101920 367637682 310709694 139393686 1000000000000000000 691784084 107817200 241236928 378943167 1000000000000000000 670272898 482388632 381161541 447653420 1000000000000000000 631110201 43094271 45152585 382518809 1000000000000000000 537916147 5051169 477011725 358468360 1000000000000000000 646683131 405253057 288021821 173840128 1000000000000000000 964071853 751424221 848469024 871510193 1000000000000000000 690750033 210741156 113390652 289390786 1000000000000000000 201967451 126477179 9457163 179424976 1000000000000000000 120276906 36744902 40495012 13309212 1000000000000000000 17102219 5993797 12375071 13180897 1000000000000000000 812845233 590640884 566984583 580797217 1000000000000000000 992911783 207601714 754740932 565895371 1000000000000000000 864269280 269350581 283326293 330849491 1000000000000000000 566804267 426370287 267934247 52890020 1000000000000000000 207849989 3804740 92356605 165958793 1000000000000000000 115332641 106292361 97042232 22177195 1000000000000000000 75740197 33254010 65739486 47844093 1000000000000000000 289788615 280896022 97452678 95978534 1000000000000000000 924442659 479905075 246267459 367262822 1000000000000000000 750981826 330339846 418736176 224254687 1000000000000000000 138319882 3356546 55574761 70813759 1000000000000000000 180327824 147839905 90980821 107038736 1000000000000000000 961023774 188028724 229416711 149854337 1000000000000000000 460432564 45425977 332171707 224216772 1000000000000000000 257413716 151763862 208840415 224746720 1000000000000000000 563691017 224303445 522145036 85605330 1000000000000000000 189033615 81951217 52052788 22204872 1000000000000000000 547185952 382915599 122979978 62274384 1000000000000000000 64341246 35391732 28838552 12148624 1000000000000000000 972076682 441836372 348482739 557007547 1000000000000000000 201381171 141535170 22783634 199550488 1000000000000000000 420666034 184034924 345393466 394561848 1000000000000000000 217949212 89238080 90755683 124156843 1000000000000000000 832712326 451044834 422170900 46716254 1000000000000000000 792823486 245303759 560343993 34184964 1000000000000000000 268664524 193571958 178191774 78743032 1000000000000000000 92782169 6943512 41537331 71448248 1000000000000000000 805980243 465573545 204173858 410595452 1000000000000000000 217655387 162211848 13608705 164237264 1000000000000000000 358104335 261440198 284680369 235751547 1000000000000000000 221788833 158632680 18887357 83127137 1000000000000000000 611219967 320415381 447493936 385931873 1000000000000000000 818787201 790767787 799486101 661390862 1000000000000000000 264710243 74387567 104006031 229435604 1000000000000000000 300422521 119404139 222843147 155351207 1000000000000000000 284259383 237508936 207028569 33007719 1000000000000000000 280382499 33893563 245243048 213365238 1000000000000000000 669407260 638268542 507722575 34388667 1000000000000000000 700002347 550670552 246824621 446768971 1000000000000000000 713230458 609137935 201866944 217835206 1000000000000000000 425803651 395541487 230142827 97802103 1000000000000000000 199791590 54539285 154958298 26394904 1000000000000000000 315576 66262 89406 471 1000000000000000000 252324611 40874580 144444541 25384360 1000000000000000000 679471680 260012079 16977425 331174080 1000000000000000000 109723105 20155848 9223364 56967540 1000000000000000000 932304714 378345455 136555950 97339444 1000000000000000000 355180974 145068743 221741106 41981534 1000000000000000000 660564501 656442019 82563781 313063169 1000000000000000000 392184326 77163537 108745679 274510711 1000000000000000000 74551344 49638251 26591313 56134039 1000000000000000000 538916637 174609262 276938363 313476455 1000000000000000000 405381223 259737993 203201014 319153626 1000000000000000000 765509155 440634997 690897253 159428859 1000000000000000000 508581679 70076326 54631369 123724293 1000000000000000000 637705600 542936483 17462254 82968963 1000000000000000000 504725398 458978721 193762770 143639035 1000000000000000000 849305154 623807427 687838226 137928108 1000000000000000000 456463049 101607354 202295815 198128761 1000000000000000000 149152108 36418971 110449450 41824812 1000000000000000000 215248626 153642359 186736454 153778027 1000000000000000000 523791650 147020076 99585566 342685903 1000000000000000000 427661120 318239234 196538898 7710317 1000000000000000000 926489077 280774992 21063279 331078314 1000000000000000000 970846344 98529788 529573556 929129710 1000000000000000000 328261035 293800076 182695480 292118693 1000000000000000000 18815828 6319308 8444853 9971645 1000000000000000000 158518866 132543553 63934624 53200520 1000000000000000000 266180629 74872041 20498349 160968261 1000000000000000000 203722986 177475448 167712797 58362427 1000000000000000000 105134623 59221165 32155668 96905810 1000000000000000000 305483203 71269251 20196566 66447937 1000000000000000000 45380545 12085396 26634221 21836091 1000000000000000000 354297726 258506461 149176436 189659092 1000000000000000000 246818151 108088827 135110555 42511505 1000000000000000000 52983672 10871741 36348195 44893735 1000000000000000000 778006276 519572783 388030736 181761447 1000000000000000000 517563301 388757174 353973537 213537550 1000000000000000000 691389289 452240204 65791736 352952962 1000000000000000000 51091533 14018280 26401639 21969961 1000000000000000000 363613634 9678037 179366426 237816789 1000000000000000000 688973489 438705837 205823988 304356109 1000000000000000000 742259623 568187359 332801190 251849212 1000000000000000000 20415109 12322635 283849 552235 1000000000000000000 32993732 29995418 27795998 21876448 1000000000000000000 287073913 285613579 151340194 44225307 1000000000000000000 528251304 184677504 455289335 243370618 1000000000000000000 871007348 528024287 371113335 86135420 1000000000000000000 376160358 330701638 158561210 224721220 1000000000000000000 591441585 504931489 543538685 327554465 1000000000000000000 631816978 149998188 574986207 125027253 1000000000000000000 891561646 107478709 839217029 251612062 1000000000000000000 220913555 22529510 110062567 89403894 1000000000000000000 506959238 365947155 324308427 275570440 1000000000000000000 998869620 325244719 831427077 740701762 1000000000000000000 137266420 87720592 7354503 121946499 1000000000000000000 204511996 56325340 149360389 37668277 1000000000000000000 100066399 47857929 38693397 1058157 1000000000000000000 804784432 618643479 284405050 689475552 1000000000000000000 402914688 299354824 300308734 283006051 1000000000000000000 311019664 5758350 86231143 52710268 1000000000000000000 712569587 5291159 512028315 44981938 1000000000000000000 328914822 32926112 231745129 130121729 1000000000000000000 196544450 137981962 99055089 186450208 1000000000000000000 258057046 157653101 127528575 216938380 1000000000000000000 363463393 100252517 331731062 58879388 1000000000000000000 177721725 110369807 65535606 60787392 1000000000000000000 166246491 161581801 59853935 44064179 1000000000000000000 753454655 515342746 234265813 44690752 1000000000000000000 386196365 68228873 38807097 46111453 1000000000000000000 156678614 41614751 19645824 48476114 1000000000000000000 885539387 117307531 575567564 602984816 1000000000000000000 742528007 106623075 197083070 202314788 1000000000000000000 557390482 352535253 197474583 6080490 1000000000000000000 251464262 196907214 11156331 153205533 1000000000000000000 469274462 178107463 233378504 130017493 1000000000000000000 928527614 822446939 424752724 485431885 1000000000000000000 101267039 62713520 61097088 9542362 1000000000000000000 377911308 261735048 157857681 165660405 1000000000000000000 379070123 133235306 183511066 78071426 1000000000000000000 129960077 72668462 110697888 62931982 1000000000000000000 660362610 378482416 441512166 16799707 1000000000000000000 290934928 159557053 247452300 272258311 1000000000000000000 58641506 17459441 446248 35047575 1000000000000000000 403544806 268292198 263224116 208732618 1000000000000000000 50426822 48668404 23665479 15536051 1000000000000000000 23526367 14837064 283176 13176251 1000000000000000000 265131528 109584128 245979277 215202114 1000000000000000000 656202196 119504632 333175661 85368105 1000000000000000000 906642360 629369587 593775099 765172572 1000000000000000000 834268247 85754217 195395147 492808699 1000000000000000000 817091831 278402143 180164830 343141376 1000000000000000000 260301007 57240241 142776932 25839011 1000000000000000000 694832005 329555263 683716418 65357254 1000000000000000000 91800131 69465598 13156619 55892370 1000000000000000000 874518035 513559419 763777733 291041983 1000000000000000000 840463746 588960082 461337906 8181899 1000000000000000000 513968555 216316195 15811610 360359967 1000000000000000000 938132294 217591569 784004629 622454835 1000000000000000000 886759230 339464004 204469056 188933097 1000000000000000000 768663970 471648740 256260612 404728920 1000000000000000000 478789222 123261420 265169209 341459672 1000000000000000000 534486089 162874278 461069448 351694564 1000000000000000000 399517295 380350082 250157716 27276659 1000000000000000000 859337099 173183522 160232316 203831690 1000000000000000000 106284993 23224474 98770725 93595609 1000000000000000000 556571649 531449224 101780310 224943322 1000000000000000000 689196173 234765016 580295682 371281305 1000000000000000000 117442785 46381896 101354813 71735148 1000000000000000000 835278817 83568355 751606490 497954103 1000000000000000000 769734818 210387430 625401333 432558411 1000000000000000000 732879488 530972794 494250233 596378142 1000000000000000000 953687236 112094406 612129168 467315595 1000000000000000000 471730915 456711175 403371869 344751768 1000000000000000000 783888300 669364119 35718712 321704001 1000000000000000000 940252363 647745047 212320092 110196288 1000000000000000000 905662125 673361519 55098355 9730898 1000000000000000000 38526704 10036595 5783048 13355296 1000000000000000000 221931599 119594225 140922940 215016294 1000000000000000000 534377642 506571819 12417173 77984508 1000000000000000000 713590700 93283232 286725369 637498381 1000000000000000000 605566216 571473127 218725798 416209989 1000000000000000000 830107577 23219663 824847061 149237575 1000000000000000000 192826320 22650466 165136051 66127552 1000000000000000000 129641316 37327911 120492313 41169009 1000000000000000000 149742990 147971199 89418159 14879600 1000000000000000000 884204359 157482533 821121071 109575159 1000000000000000000 894894094 581904813 717145686 887727423 1000000000000000000 537358559 388739733 380030052 189939602 1000000000000000000 492474403 362805888 174535864 9912868 1000000000000000000 500743620 248301844 441725212 232936440 1000000000000000000 75251754 44921038 30609985 66956211 1000000000000000000 593679710 204620138 592757154 244659199 1000000000000000000 140348650 97333686 138889757 87184725 1000000000000000000 417934024 270779629 154461629 111517313 1000000000000000000 324093962 233261465 67354973 237764050 1000000000000000000 24885090 9054498 7051567 15451000 1000000000000000000 101601818 73113832 65564507 15374307 1000000000000000000 369019640 211881041 96658400 26033548 1000000000000000000 76883100 67822121 28124376 71579504 1000000000000000000 318136897 6728330 267585660 228889320 1000000000000000000 199893565 113994159 10804152 70097017 1000000000000000000 864869780 208123604 96954161 730525660 1000000000000000000 638019425 197016317 38614957 192414714 1000000000000000000 798850147 75792867 389829539 268684213 1000000000000000000 47074121 37405458 14787696 41411361 1000000000000000000 455567713 21428239 51863188 194244904 1000000000000000000 838615244 87052547 477744847 93623671 1000000000000000000 169378542 65199335 54407995 55654739 1000000000000000000 321481933 212638364 134654035 88273541 1000000000000000000 712130206 436802120 309767513 571289461 1000000000000000000 168569009 40811388 28401667 45127499 1000000000000000000 199723534 88583586 40476488 151406589 1000000000000000000 603100643 271934479 352357498 441351487 1000000000000000000 177141218 92117549 7957527 10734612 1000000000000000000 968730928 305515397 449105243 849356365 1000000000000000000 146070113 117643371 51477351 21293060 1000000000000000000 930672128 160884029 415344634 848840646 1000000000000000000 306910219 157140185 171113549 59703319 1000000000000000000 157892248 136933949 71634257 147786316 1000000000000000000 371672791 254941911 232376752 197502803 1000000000000000000 225080282 167328317 95861008 1689530 1000000000000000000 429691653 68195860 230737464 109998500 1000000000000000000 713223999 56881700 494993780 54222432 1000000000000000000 508271716 56321778 122875372 365881973 1000000000000000000 712034043 577564148 417241807 525877426 1000000000000000000 218890511 189508156 33865627 194453811 1000000000000000000 107279557 23131432 31155378 46542016 1000000000000000000 462665941 218056780 184501005 243008808 1000000000000000000 888233004 99465834 761177596 470722509 1000000000000000000 442048107 250752558 189894117 402178942 1000000000000000000 682563225 557730127 417963340 332877350 1000000000000000000 896500374 30029145 725193771 633485366 1000000000000000000 356655408 127487528 218238971 189429716 1000000000000000000 58321530 10629902 869873 15735452 1000000000000000000 30444295 29561134 14323126 8746244 1000000000000000000 652296562 327779668 14888679 485088817 1000000000000000000 454851047 443899682 196990844 440632330 1000000000000000000 641435628 365333524 113712557 128642881 1000000000000000000 496001042 186790831 302416154 369130521 1000000000000000000 725530296 520109779 574922419 276459586 1000000000000000000 643207830 236852954 111753725 167682647 1000000000000000000 697320306 659391733 640929326 368079400 1000000000000000000 630933823 298146215 527230521 259060040 1000000000000000000 78051697 63315318 12211401 44139934 1000000000000000000 223061492 97716190 222774300 991076 1000000000000000000 908829701 649491387 459041500 607759121 1000000000000000000 26812483 19862109 7777543 23921407 1000000000000000000 273193283 1881870 241934690 107861053 1000000000000000000 571206017 66412432 562880501 502217244 1000000000000000000 597934827 548468283 439672120 7745129 1000000000000000000 17610319 13672927 3412746 5071348 1000000000000000000 984923408 30115539 800610070 506866256 1000000000000000000 973095661 144313545 392276506 351220887 1000000000000000000 171274467 101019360 51407368 167691972 1000000000000000000 35668195 18358024 31205489 21155881 1000000000000000000 417032281 300453399 218061200 32422952 1000000000000000000 910221941 834157770 478979381 442036882 1000000000000000000 542786599 50497437 286324261 515954502 1000000000000000000 567029399 463318821 35633654 11285523 1000000000000000000 797036662 457158090 458793910 509088070 1000000000000000000 915181350 456857928 572575845 879350484 1000000000000000000 617845931 609228601 595456120 221896165 1000000000000000000 698202911 535858113 514953159 424779715 1000000000000000000 362624391 126219046 305112125 183105789 1000000000000000000 232161718 217802100 70411250 57378102 1000000000000000000 710104332 312392376 470105469 348621988 1000000000000000000 4280365 1674066 3129618 3189212 1000000000000000000 260572499 54602251 159307027 3113180 1000000000000000000 664352747 205416042 198275575 259966344 1000000000000000000 376806421 201899497 176432555 218410075 1000000000000000000 979632412 20222979 396425469 431320458 1000000000000000000 506268260 401354953 282803989 457471487 1000000000000000000 238673958 20929839 70338375 216434708 1000000000000000000 538051727 506551009 531908 282672825 1000000000000000000 641988345 312885973 437373615 195560426 1000000000000000000 485134047 343209771 95182354 420793352 1000000000000000000 969082204 621924014 674126039 34186853 1000000000000000000 384467146 23996194 208424394 2723960 1000000000000000000 679095112 494756703 649162967 533914730 1000000000000000000 312914421 227695815 226748560 307278698 1000000000000000000 380920232 16378342 313001961 186997402 1000000000000000000 142614450 114713443 64643958 71812341 1000000000000000000 57777516 21407884 12451051 16652706 1000000000000000000 236277035 123367800 221338151 15696051 1000000000000000000 651580927 154145841 197850544 95506798 1000000000000000000 745608208 78561965 174236888 13696536 1000000000000000000 240348916 65547878 192068230 122963638 1000000000000000000 988047741 59901297 44676236 236681928 1000000000000000000 580163714 35216271 389926815 468021613 1000000000000000000 43995324 18391906 6748320 8737560 1000000000000000000 431486224 39550280 420392707 422665777 1000000000000000000 823021101 107362510 205454607 303375258 1000000000000000000 878479360 11430701 346229986 696964092 1000000000000000000 587158061 507294614 172131125 202866360 1000000000000000000 107965232 26447136 13925495 91079832 1000000000000000000 969864858 292959910 518003419 669247590 1000000000000000000 776080158 19476026 233090702 379908024 1000000000000000000 824155238 486254577 69179585 461276553 1000000000000000000 124417226 69896266 70184124 75221007 1000000000000000000 622382860 620627023 335751130 239841503 1000000000000000000 895244168 653323664 212945878 295574868 1000000000000000000 453122752 200852617 81921471 248665333 1000000000000000000 603535927 85457692 286733248 96022706 1000000000000000000 255123333 252084406 4856459 199315632 1000000000000000000 687805155 621446125 68631230 92190233 1000000000000000000 938044583 569038529 86029357 732418721 1000000000000000000 829995237 810835855 125032681 468143705 1000000000000000000 504688460 414058057 271546195 195869392 1000000000000000000 27905836 17316434 18328790 19831927 1000000000000000000 514495421 411630849 153028610 5348013 1000000000000000000 524701289 393508287 77269004 450128222 1000000000000000000 610467531 165968329 464424320 47709328 1000000000000000000 247886016 29930944 30604167 30902090 1000000000000000000 920620140 442887105 117584354 215966026 1000000000000000000 942886098 201512413 449674637 920239439 1000000000000000000 816058034 646559660 147143517 179567669 1000000000000000000 415034621 297916215 209221969 177858791 1000000000000000000 428086304 400073633 357012506 348368320 1000000000000000000 760898915 506480795 576492218 526092683 1000000000000000000 104161487 99211678 66341292 17253202 1000000000000000000 799408920 402427707 716936189 731513512 1000000000000000000 611650279 148252116 181437098 489633933 1000000000000000000 757540308 6950223 286251946 208788041 1000000000000000000 72671061 19148065 34273009 46620082 1000000000000000000 836287341 464614887 684732845 832000523 1000000000000000000 502793606 214403084 293322344 431308722 1000000000000000000 977227903 598975380 910033127 442979207 1000000000000000000 670464808 74967035 482797948 263067991 1000000000000000000 883000835 658690101 798774505 737909130 1000000000000000000 816435876 319039359 26369510 300833771 1000000000000000000 361736689 319575125 346923889 68226893 1000000000000000000 537328429 99521819 353053774 489410012 1000000000000000000 691464643 390782667 316145816 245593012 1000000000000000000 283531339 223604221 101304085 141347096 1000000000000000000 670525014 478856697 565131970 215384358 1000000000000000000 509382328 325437084 201939337 370596410 1000000000000000000 831384311 215076283 801247501 768997924 1000000000000000000 758370695 285866353 672434087 709444238 1000000000000000000 117455472 983528 7516124 54014387 1000000000000000000 512886133 302883048 296167269 3338159 1000000000000000000 98010574 51490946 89668447 68233838 1000000000000000000 185648318 163877039 13846126 4505512 1000000000000000000 887738089 128511888 63548665 287034005 1000000000000000000 681301873 454102413 38303769 40270208 1000000000000000000 721065490 166147298 128141200 12616748 1000000000000000000 438006626 387389115 381001970 325660778 1000000000000000000 211568673 189024070 761764 37050021 1000000000000000000 9602947 9464776 4546452 5220114 1000000000000000000 675017554 19769952 559375734 368189278 1000000000000000000 772952951 683456236 364042931 193101779 1000000000000000000 464312431 67260766 67395080 366971389 1000000000000000000 706678249 472898594 170125397 11431171 1000000000000000000 784578693 177162491 700145764 148626385 1000000000000000000 383022379 381964194 93813543 358862181 1000000000000000000 733336153 257855505 248951803 249807143 1000000000000000000 203260209 146999930 134727332 136257819 1000000000000000000 167695800 75263829 27188120 48598439 1000000000000000000 186248545 69807888 61059603 5674688 1000000000000000000 712302347 325209273 688420966 689924228 1000000000000000000 804440971 78245158 613005607 311457836 1000000000000000000 898273669 464128984 428547881 816553182 1000000000000000000 594782317 458169737 460862737 382360868 1000000000000000000 862916587 293900774 38480706 306471250 1000000000000000000 660480222 564339115 307534736 631490240 1000000000000000000 183492305 164255040 164623345 5783540 1000000000000000000 391096213 289961204 202571496 43815492 1000000000000000000 398299466 59352755 78392559 76326185 1000000000000000000 285794540 84907189 249189391 140029679 1000000000000000000 122296033 75645133 20993560 79562712 1000000000000000000 457041863 221641806 122729685 168952026 1000000000000000000 961501268 2848164 511703053 760338813 1000000000000000000 63253479 44998690 15713250 62055585 1000000000000000000 168542938 143990399 137337634 100119774 1000000000000000000 987855726 490810014 302488063 137790889 1000000000000000000 240739343 122520832 220414570 78494066 1000000000000000000 896788532 504962883 151557742 787442999 1000000000000000000 144735887 28329752 19229057 50933415 1000000000000000000 675817961 384604746 499172123 618454293 1000000000000000000 194202972 191033276 178691651 133722884 1000000000000000000 970356298 924572844 156503390 892308725 1000000000000000000 243071765 54734771 201093290 40598024 1000000000000000000 257812085 68617724 17307919 54712723 1000000000000000000 332404401 147220697 155168263 213799382 1000000000000000000 656692514 608600022 444756535 283741167 1000000000000000000 822347268 437960741 339533710 696234062 1000000000000000000 669619360 666718586 236550743 480907244 1000000000000000000 461453042 262521510 305140008 187281930 1000000000000000000 691485387 63120941 617226037 353707905 1000000000000000000 166907402 108490447 153855555 96233774 1000000000000000000 294198169 59830612 198874455 285891767 1000000000000000000 468797081 368907688 377442014 232257307 1000000000000000000 953484812 555936104 919604517 901655987 1000000000000000000 776006110 401950219 360931448 682090556 1000000000000000000 732824895 107640370 15575932 395980411 1000000000000000000 637839360 408157195 87716258 315647291 1000000000000000000 278132677 124434234 670479 89158514 1000000000000000000 452964519 111981009 296281135 67615948 1000000000000000000 349976989 245838844 97851673 276211512 1000000000000000000 776526489 465008040 110534772 567634456 1000000000000000000 214995977 143834667 194072381 123169917 1000000000000000000 592823765 439441481 184731605 224583980 1000000000000000000 829290796 547637591 227148545 372331635 1000000000000000000 191651012 117755801 34909995 45324951 1000000000000000000 910245625 639680847 467348248 186937002 1000000000000000000 994154274 782592837 509056955 338550601 1000000000000000000 352915229 264032163 21573943 203781389 1000000000000000000 329960469 247431756 124740591 304641151 1000000000000000000 564070287 522151700 553596911 109698277 1000000000000000000 12278575 1180151 3110909 5889672 1000000000000000000 803614954 717024591 448611654 348454071 1000000000000000000 896111744 327310546 148004902 533233451 1000000000000000000 73659634 21401475 48776465 56736292 1000000000000000000 912160390 683390521 439894116 130785243 1000000000000000000 971035953 419190766 669480954 206306601 1000000000000000000 213990141 134065682 185618585 184725501 1000000000000000000 951907964 738434367 908647679 615492361 1000000000000000000 514082289 249326471 172942536 427051068 1000000000000000000 675595238 623914587 564187608 60476235 1000000000000000000 705135342 315975784 670368917 291494750 1000000000000000000 807347759 470344083 350046535 378914388 1000000000000000000 564153109 154894777 266288521 328305522 1000000000000000000 97430277 56162973 82713130 14569476 1000000000000000000 821402180 317996776 431982664 394491763 1000000000000000000 940962529 632949627 625047365 473880801 1000000000000000000 456425660 47598021 33155644 301960132 1000000000000000000 313692507 191662983 19627718 144289581 1000000000000000000 926757829 263622317 415212065 73204831 1000000000000000000 725296417 700724865 562303058 376132962 1000000000000000000 638646592 276384955 12274709 332944645 1000000000000000000 434185194 365277866 304688797 297699866 1000000000000000000 516513701 42873146 458290519 78619896 1000000000000000000 508806477 313794719 73377794 450524796 1000000000000000000 494911395 234677965 490413043 18701814 1000000000000000000 400012395 97753466 328955861 156463751 1000000000000000000 725038689 574329744 107194806 90499930 1000000000000000000 178918871 160843539 148080387 9539579 1000000000000000000 938705051 717256017 32003790 27475437 1000000000000000000 218327192 107608965 79444022 172434083 1000000000000000000 13133400 12466170 10036116 5556030 1000000000000000000 141179042 98418042 51699650 63389107 1000000000000000000 985505184 220936625 768443749 34305202 1000000000000000000 550044967 400268505 100145626 243182719 1000000000000000000 741247713 487729561 554184504 375907458 1000000000000000000 447864390 197243724 156744646 215896691 1000000000000000000 658408346 488630148 342952596 256638555 1000000000000000000 2504396 235835 504881 295884 1000000000000000000 838262103 11014678 679125669 617180942 1000000000000000000 431670181 230971465 37708383 325746474 1000000000000000000 162336717 53570022 104041939 71900526 1000000000000000000 351651335 99133981 280041945 14288282 1000000000000000000 630275455 533806323 317209799 86931001 1000000000000000000 889793984 798378619 572183358 547474829 1000000000000000000 631660890 351804228 165559627 621545745 1000000000000000000 383371189 96524418 264181209 233270912 1000000000000000000 564693955 474361770 278939768 313195127 1000000000000000000 550324505 285392080 520574529 186786092 1000000000000000000 289322022 44516592 238695153 182727666 1000000000000000000 851864751 507074857 359274083 728814780 1000000000000000000 423064024 52735222 421158751 50533049 1000000000000000000 354697395 79886576 145279097 35978091 1000000000000000000 834710424 661098486 6384919 629202278 1000000000000000000 613336903 42136268 225272244 206534376 1000000000000000000 921666931 47066079 648101173 676479577 1000000000000000000 895458607 604943065 712635913 512823103 1000000000000000000 811949989 560146928 483280714 588143258 1000000000000000000 562435346 459025457 187188974 266430698 1000000000000000000 888134697 352097036 422230315 787659096 1000000000000000000 232208473 142352059 210322423 61741817 1000000000000000000 559250080 212782965 222365501 549294638 1000000000000000000 875246417 330984099 220720624 300857839 1000000000000000000 614957609 589189742 70990249 336361833 1000000000000000000 256361956 22621703 209431775 35494670 1000000000000000000 267772767 81069278 75423358 107109529 1000000000000000000 398633225 175830039 344629998 112638877 1000000000000000000 672212908 314631273 144215331 279859681 1000000000000000000 775136563 155575824 410221539 97311968 1000000000000000000 914198150 810489373 749853878 226588260 1000000000000000000 269685013 68860700 168069980 17950003 1000000000000000000 252676132 140027634 160446510 129819408 1000000000000000000 71933943 52744868 30994940 39992193 1000000000000000000 163290108 160480283 93937642 107122497 1000000000000000000 361266051 179306432 12894729 160650125 1000000000000000000 750839453 722173200 229741591 419231078 1000000000000000000 936650821 409421006 779524906 477747415 1000000000000000000 81934374 2231206 62198788 48548978 1000000000000000000 733428932 124720509 197572448 568473045 1000000000000000000 478691384 9490170 436620104 134997780 1000000000000000000 847893464 96432070 831684268 563542696 1000000000000000000 786226790 712734592 663022437 375574183 1000000000000000000 473041135 235059561 270107217 460884132 1000000000000000000 165618455 29989831 56961754 33534626 1000000000000000000 988039888 702602642 170709778 545122400 1000000000000000000 615898008 285647909 266849837 119856586 1000000000000000000 285506295 81561860 263030342 177227130 1000000000000000000 95180275 28260220 11825871 43810613 1000000000000000000 680121401 453715140 156259515 360156555 1000000000000000000 872285892 147195568 709687005 200434929 1000000000000000000 341976546 10647542 324491281 153945257 1000000000000000000 542040681 108048547 268292838 87973993 1000000000000000000 217963622 191555291 129011591 93135557 1000000000000000000 902707830 669688898 812277078 901652156 1000000000000000000 765039453 223292977 277571548 496616266 1000000000000000000 553984968 170830692 366542593 231417643 1000000000000000000 298016045 119003967 173907930 26418667 1000000000000000000 838427351 373528007 113234396 522167711 1000000000000000000 391991509 189979778 108271521 346837828 1000000000000000000 169584796 12826238 128892494 113262709 1000000000000000000 291456715 17893838 274876946 116715163 1000000000000000000 935335698 148811873 718415692 26281700 1000000000000000000 318437840 300049072 128460398 205690532 1000000000000000000 734606861 418709032 293023778 271909079 1000000000000000000 317180772 202452790 248009023 167803659 1000000000000000000 757226289 663005151 561249292 566358835 1000000000000000000 487580251 397801286 62638241 152053729 1000000000000000000 831393097 354611706 691382027 744813557 1000000000000000000 665148860 534081011 35429559 109953001 1000000000000000000 165226828 39393922 127308689 43942524 1000000000000000000 848961411 292069815 463963203 722615740 1000000000000000000 38136176 28880435 9458287 14174223 1000000000000000000 781928463 703453543 200550812 702707370 1000000000000000000 753135660 91877590 275306850 704358929 1000000000000000000 493878926 212740425 314336872 365237942 1000000000000000000 531322740 219356017 374402325 484338656 1000000000000000000 224350565 53695850 12130850 214723190 1000000000000000000 752750870 324566155 43124081 43419007 1000000000000000000 761191544 427666361 55304115 305121808 1000000000000000000 424001985 148837781 398839063 225820801 1000000000000000000 334834959 9167875 311735360 194959142 1000000000000000000 790286996 699322101 572564261 635211976 1000000000000000000 710534530 460818551 302051096 436230193 1000000000000000000 178261504 148711687 61040610 78050028 1000000000000000000 992501606 880595882 76168885 314136031 1000000000000000000 684027615 329414322 6668239 357535614 1000000000000000000 272661886 11504007 259933985 168089697 1000000000000000000 618260906 323610569 285880203 40666884 1000000000000000000 174295241 118881738 15941510 99801367 1000000000000000000 140212536 97604696 43664869 66169322 1000000000000000000 69592407 22260096 19031617 20152669 1000000000000000000 76294442 49003086 71214547 14250236 1000000000000000000 575749894 536779320 306051258 291287871 1000000000000000000 65016696 17511460 57175664 29019919 1000000000000000000 129769395 91868774 124115994 29005196 1000000000000000000 78887652 16915694 67217072 49388659 1000000000000000000 982944951 65238638 517103290 314531204 1000000000000000000 217531952 62266341 116428303 208853403 1000000000000000000 74463529 41003445 34441789 62132150 1000000000000000000 449215580 63751920 214829192 301222487 1000000000000000000 681594989 365571991 586544480 85688693 1000000000000000000 867034483 391298146 42127953 175670206 1000000000000000000 621996882 564563452 513612313 94235738 1000000000000000000 896458664 272843928 452972705 225695246 1000000000000000000 54150039 30913250 20092626 54040642 1000000000000000000 429180022 143405626 145210528 182344317 1000000000000000000 469140147 274501876 120785871 198092905 1000000000000000000 8103419 300164 6849878 5158021 1000000000000000000 192158157 17200607 187270027 60858078 1000000000000000000 459430382 426986336 254277157 281876787 1000000000000000000 949021388 653913380 542379560 274999586 1000000000000000000 325064783 267400861 298525728 222490253 1000000000000000000 967397572 769727399 375754518 610367163 1000000000000000000 845407266 490396791 420546106 600980649 1000000000000000000 959604625 785312862 841527301 618885997 1000000000000000000 371670268 249825687 281442680 245797266 1000000000000000000 197053649 54490841 153124872 136073674 1000000000000000000 379416215 331058006 174903597 143217017 1000000000000000000 108902882 99897860 53100551 98002484 1000000000000000000 177896502 58880816 177743627 165163679 1000000000000000000 811520387 6032670 349235478 597967413 1000000000000000000 428811140 315024658 39664527 354073130 1000000000000000000 967881315 421916286 285329874 190643608 1000000000000000000 786625100 167817873 399982111 226679271 1000000000000000000 797705961 304126899 629832207 83019993 1000000000000000000 493433718 233877435 456974738 209520131 1000000000000000000 627372055 562001599 4922209 327748551 1000000000000000000 839681516 12698574 711563658 142477149 1000000000000000000 81893701 70432921 23191247 20236635 1000000000000000000 833072526 679440193 103108709 326481616 1000000000000000000 225709542 164995488 63920490 9300722 1000000000000000000 607807619 186374132 151831175 555183401 1000000000000000000 431045391 120680262 392465637 97763823 1000000000000000000 83718368 14665545 77476175 73257827 1000000000000000000 535102614 41743572 470318775 447209073 1000000000000000000 950548905 179346541 272021135 566555493 1000000000000000000 933921625 7085778 201189884 758994242 1000000000000000000 703446410 657053141 456970955 297990071 1000000000000000000 53019980 27356074 10610658 2327371 1000000000000000000 144584952 24179100 5854578 28968990 1000000000000000000 543544090 105830457 271938482 264382026 1000000000000000000 569339602 206402267 74000423 166020818 1000000000000000000 361704507 284051226 205777244 354016752 1000000000000000000 204088243 154212713 184357632 86416730 1000000000000000000 360017984 70455089 82374512 280672005 1000000000000000000 306564907 271378874 207657531 142462491 1000000000000000000 598557607 307327436 368408199 311415135 1000000000000000000 598937105 99446519 215348367 299657027 1000000000000000000 42647473 38396776 32873367 11218491 1000000000000000000 976815546 697543452 956313365 476905208 1000000000000000000 379403658 336208198 202485746 197354753 1000000000000000000 991822525 885943306 232597257 68588897 1000000000000000000 577621388 383996698 355693998 302259419 1000000000000000000 976287904 121535552 130445540 473858766 1000000000000000000 783999532 145542034 1868339 68277605 1000000000000000000 43836873 27861481 3076402 34949964 1000000000000000000 528780990 361382652 174815993 62681191 1000000000000000000 548496150 344082422 520226036 117337453 1000000000000000000 621347689 80211345 491697382 613484021 1000000000000000000 498675593 417225033 397425729 448615456 1000000000000000000 329664544 302161893 195632502 228844753 1000000000000000000 404900170 256363192 96800320 309640199 1000000000000000000 846233619 717681130 189999015 291553930 1000000000000000000 49482875 47003150 30083525 21676977 1000000000000000000 681271439 143698438 151102950 644889974 1000000000000000000 446882467 37828525 432348968 314482215 1000000000000000000 845501454 493263591 614985107 121039980 1000000000000000000 787772325 542097053 178982957 613570969 1000000000000000000 186051087 148431405 138423733 176979301 1000000000000000000 644387361 560361244 11882934 46654068 1000000000000000000 524310260 22834454 22130385 132085799 1000000000000000000 112203467 40650767 6718422 101630904 1000000000000000000 280222662 246060232 185069487 210872181 1000000000000000000 719239838 292458900 121146073 235382154 1000000000000000000 797488727 654286676 484289021 469926989 1000000000000000000 639695365 515959556 344845472 143161330 1000000000000000000 676893435 318211647 195826926 199118850 1000000000000000000 506042854 144936105 195772959 416104957 1000000000000000000 419410799 278518716 353752726 146025632 1000000000000000000 931887130 579123150 32660259 373517583 1000000000000000000 152109587 49528068 145843992 55843260 1000000000000000000 344770455 141215974 283319310 9966674 1000000000000000000 810606310 245947915 755981390 199436362 1000000000000000000 520380854 236149250 424561704 361990634 1000000000000000000 637628250 542514000 460514235 242646857 1000000000000000000 789498944 744059411 119967770 387523766 1000000000000000000 422931236 300321812 92510263 337642170 1000000000000000000 925722604 877749740 901885657 570506417 1000000000000000000 835423894 529218899 577552281 399260704 1000000000000000000 469881346 302878757 68818230 188900816 1000000000000000000 393894890 70100707 129123129 137431157 1000000000000000000 62443111 5755288 33533299 11853158 1000000000000000000 578504205 365493758 502237864 33863104 1000000000000000000 804120147 515120453 698740594 478090587 1000000000000000000 950416810 563870849 211464884 621963409 1000000000000000000 569661377 51455547 353457665 53756693 1000000000000000000 407661592 215194220 296963152 17784660 1000000000000000000 577143419 567091856 540223417 263222074 1000000000000000000 600150592 476170848 550505478 212667919 1000000000000000000 883463036 749655767 393645304 870995602 1000000000000000000 111988318 44612153 9739408 26899204 1000000000000000000 868689205 596715933 36709121 544827480 1000000000000000000 556203287 314945531 541881904 270145187 1000000000000000000 963223815 478940883 70164478 217826670 1000000000000000000 656067050 645146883 49359185 199357688 1000000000000000000 575199482 418807438 295708105 452503285 1000000000000000000 242687042 14463311 29181783 127656766 1000000000000000000 978229193 45167757 186069490 81601338 1000000000000000000 973451064 881641904 298163912 640406307 1000000000000000000 470620980 58605822 57698063 322579088 1000000000000000000 865695860 266565294 488434170 683044212 1000000000000000000 381092731 312906482 108742287 362558603 1000000000000000000 487866800 246057530 274534279 258510750 1000000000000000000 76133006 17121287 3800781 2024585 1000000000000000000 12018237 4285726 2550433 6406009 1000000000000000000 985848214 797103833 653507042 222011823 1000000000000000000 999116053 456199317 900535863 250303688 1000000000000000000 983206897 967537566 87897682 260849792 1000000000000000000 468092622 288718114 414720591 238501474 1000000000000000000 407788978 260324974 99403566 203317237 1000000000000000000 711013300 553478114 347018200 175670719 1000000000000000000 418164024 365545159 1873056 253090504 1000000000000000000 621161121 598164665 617092053 363120583 1000000000000000000 150787992 113165698 1324757 99339978 1000000000000000000 444153449 148238961 277962682 360973457 1000000000000000000 253481374 119012435 130289333 44989209 1000000000000000000 570581284 511407436 15477653 219139027 1000000000000000000 661378490 357833716 164182081 610504334 1000000000000000000 654549807 151373257 141813129 604324366 1000000000000000000 379097814 45722977 135486416 102303083 1000000000000000000 993777951 959172726 78496723 18852477 1000000000000000000 366480272 102349300 242737674 287921393 1000000000000000000 912743660 261458954 141186873 781685210 1000000000000000000 937960718 673812726 201658198 735749959 1000000000000000000 331389918 8599154 170321103 255409706 1000000000000000000 691263307 431061815 131939166 275035672 1000000000000000000 135911714 17101018 101263208 99062178 1000000000000000000 487299713 415280690 213695497 250395230 1000000000000000000 697757786 475307923 244813406 52254354 1000000000000000000 780133806 759047021 550708915 101847143 1000000000000000000 19024056 7645238 6221673 16297457 1000000000000000000 741706894 5583118 535064672 123570495 1000000000000000000 128230763 13639257 47593550 38955427 1000000000000000000 261561344 88996585 174662931 9415879 1000000000000000000 986258450 311880682 490342475 148103380 1000000000000000000 570457699 345713444 409696018 344570077 1000000000000000000 942553908 542249068 506192331 910003640 1000000000000000000 270714830 252603092 105813536 235303932 1000000000000000000 558284585 553639359 215380039 418486171 1000000000000000000 942326013 689306320 528030289 747653935 1000000000000000000 216580141 50115738 16232448 68605617 1000000000000000000 34518981 12821370 17360956 22756049 1000000000000000000 431348592 168074487 427268093 266132767 1000000000000000000 797604419 646031221 8318673 198277026 1000000000000000000 414440330 39734852 407623336 83799009 1000000000000000000 890776138 727558066 867658149 886260616 1000000000000000000 757110095 560335435 275258010 553588584 1000000000000000000 151754581 9267315 117431465 140087473 1000000000000000000 438449532 104201387 12065843 276942870 1000000000000000000 478334665 472785394 412860599 150162116 1000000000000000000 715084737 499953686 331864133 634669419 1000000000000000000 336289490 107806458 125225463 213079075 1000000000000000000 618404513 56831516 557212321 115355714 1000000000000000000 272978084 104191113 197912564 138959627 1000000000000000000 54575684 34332122 28705010 21037815 1000000000000000000 376357231 332917136 65875830 5782717 1000000000000000000 463911711 138529225 177868920 265020006 1000000000000000000 543883128 323109274 366918821 450268019 1000000000000000000 219930546 56759980 129735231 71140519 1000000000000000000 839176155 643115312 830169969 781621957 1000000000000000000 153731142 105208466 95536395 105469196 1000000000000000000 41655780 30405015 36070931 29836194 1000000000000000000 81734205 17584797 6761551 30129837 1000000000000000000 320761586 131406633 26285528 14593968 1000000000000000000 994773454 737786562 934968429 64485021 1000000000000000000 141341107 91858 135690017 70030182 1000000000000000000 337536940 179881274 254058835 325060498 1000000000000000000 66704358 31216691 15307651 17784328 1000000000000000000 559291197 540820294 238998344 226544779 1000000000000000000 687488227 132488553 541310862 319170371 1000000000000000000 663139435 521267477 45806069 316185838 1000000000000000000 237824925 226084459 175528791 228444427 1000000000000000000 759020361 318259821 272177660 137642841 1000000000000000000 911944529 541991112 490374377 101183801 1000000000000000000 1665550 1426133 875185 729646 1000000000000000000 486344484 450094025 2882448 57186345 1000000000000000000 573942632 473081438 547911776 105522661 1000000000000000000 510917394 309879422 480051518 184540466 1000000000000000000 406333307 241339441 168684891 12161412 1000000000000000000 262730908 111539497 41170066 153674457 1000000000000000000 418783263 365254016 315625593 363863416 1000000000000000000 10517278 7316122 8272171 1601700 1000000000000000000 421949668 108249478 21905495 233538126 1000000000000000000 745653102 171992768 679319834 728122050 1000000000000000000 975131064 103654413 126697733 666328478 1000000000000000000 232111906 7042880 174597334 218867180 1000000000000000000 452040394 60031273 96561543 238677811 1000000000000000000 906726206 84302636 662344317 871723565 1000000000000000000 782341486 652372672 187093261 139691765 1000000000000000000 584702084 72664217 512505250 255881376 1000000000000000000 642832213 458351679 641284686 196789181 1000000000000000000 6821276 5908271 6395101 1332378 1000000000000000000 674604356 529030462 91662699 135606402 1000000000000000000 890747505 342747744 224901232 227454358 1000000000000000000 969689529 384320460 691182173 907844746 1000000000000000000 96988933 77237691 64602404 89275017 1000000000000000000 295335491 234203343 220053039 266303117 1000000000000000000 808817976 620033590 489668170 210571440 1000000000000000000 405062529 74428640 240475882 282414105 1000000000000000000 725633339 642918187 721302765 632539721 1000000000000000000 619978059 137633276 463676517 342640499 1000000000000000000 618954833 204752031 81411321 35696545 1000000000000000000 964623664 310171835 795686313 242499075 1000000000000000000 138513388 107706184 92607908 80318250 1000000000000000000 61965187 51043252 53203997 43573041 1000000000000000000 369779549 142252103 158248891 360299455 1000000000000000000 160883716 31751666 32551624 143853941 1000000000000000000 168325432 54335006 17535508 77605840 1000000000000000000 745090024 458666299 123615043 454497581 1000000000000000000 825131439 210088543 813348392 371035926 1000000000000000000 983752552 797313492 929860234 95706101 1000000000000000000 743042754 130729286 253869020 295542894 1000000000000000000 743826961 480236492 534547443 29618971 1000000000000000000 752283082 321725946 686997349 624144418 1000000000000000000 459953938 19934914 323003535 239287157 1000000000000000000 773790493 712424294 125700234 177185738 1000000000000000000 634681271 212340598 179482638 612370182 1000000000000000000 370266591 246173287 189709703 123074901 1000000000000000000 892500741 321993186 224372646 158702760 1000000000000000000 956444614 121262724 665432552 655768277 1000000000000000000 882767676 62763042 143091579 577932077 1000000000000000000 588495243 253985009 10204739 517592635 1000000000000000000 133467209 32119091 18095432 4895503 1000000000000000000 755273025 380041287 32812959 626551804 1000000000000000000 453618118 237675658 368996064 157559767 1000000000000000000 190378542 72247271 115338871 46389828 1000000000000000000 790591330 692098217 124802323 398729215 1000000000000000000 124678889 42438514 66077149 16539290 1000000000000000000 216475468 79257230 73278795 193682530 1000000000000000000 328992103 170067827 306388409 184240187 1000000000000000000 643863457 454565123 57886385 137064363 1000000000000000000 727279522 532393874 14535553 515228243 1000000000000000000 212443394 163308838 68609036 27141135 1000000000000000000 94737819 77137508 42363982 68558874 1000000000000000000 951978043 240779682 415194239 582634202 1000000000000000000 888385469 555987469 538160784 277406588 1000000000000000000 824972903 631734835 681149078 765399700 1000000000000000000 353861254 308988670 32894759 204960979 1000000000000000000 184113082 172322081 1299019 66346710 1000000000000000000 476206695 245860224 350810710 65457546 1000000000000000000 713483683 86287358 295502770 659867852 1000000000000000000 887453487 571738664 115311116 73355009 1000000000000000000 549824044 107249419 110940837 31964385 1000000000000000000 589179426 420439930 407093201 514235103 1000000000000000000 32634022 29696348 18477902 9728866 1000000000000000000 51899878 40954279 14068142 2390252 1000000000000000000 450130163 436224273 56573641 145801776 1000000000000000000 617513765 537260262 127928891 505798958 1000000000000000000 933939647 468086706 155987061 245675121 1000000000000000000 190008928 69636416 47171771 83278964 1000000000000000000 593992998 418252524 550280707 69855458 1000000000000000000 312124627 137608105 213046344 86723960 1000000000000000000 829579664 818842218 650968513 616943108 1000000000000000000 814177747 632793101 589002457 119771752 1000000000000000000 377877614 23178361 182384390 27477856 1000000000000000000 293189204 49015220 54740377 203637131 1000000000000000000 342667417 189678674 265787103 322787722 1000000000000000000 382239901 48910362 53358379 185135726 1000000000000000000 408946575 51055393 401371617 372322444 1000000000000000000 50897003 4385256 45793738 46708300 1000000000000000000 522365829 299757122 129356678 201569107 1000000000000000000 498988202 497393537 319551216 440755738 1000000000000000000 18240733 174563 12858352 9062871 1000000000000000000 878511021 801073545 346283157 325494181 1000000000000000000 621874831 303378331 76306962 507547084 1000000000000000000 804673858 360372206 290204985 191539144 1000000000000000000 796445344 466547532 721815714 141200131 1000000000000000000 249407166 92512520 1546439 29945436 1000000000000000000 304986341 275030042 51716040 242052209 1000000000000000000 795017940 187995854 146526477 567792313 1000000000000000000 310343596 268848376 18325675 294359555 1000000000000000000 733348866 6585231 319677672 171106245 1000000000000000000 285558502 161425644 198698950 12391751 1000000000000000000 788591596 612032238 641291924 225325299 1000000000000000000 776449693 112070403 82646519 187549590 1000000000000000000 535765792 261609607 269951909 483806608 1000000000000000000 312938226 267759763 102954351 135165970 1000000000000000000 388889684 95396211 179893462 325812581 1000000000000000000 943784866 628036520 88935688 688325447 1000000000000000000 503845280 422400167 270388455 174118542 1000000000000000000 302987082 250763967 180865440 189710023 1000000000000000000 829806715 618426674 461881614 699398044 1000000000000000000 328819586 257347393 80461715 5270374 1000000000000000000 701053493 565925846 163498164 146987600 1000000000000000000 569780543 564701091 237547997 378356065 1000000000000000000 835132353 666378214 738501216 153704627 1000000000000000000 568034084 185982148 342219367 259283767 1000000000000000000 923305796 23795391 77867759 334465239 1000000000000000000 659055595 51853190 14235277 385976944 1000000000000000000 232974366 147774931 111628556 228992999 1000000000000000000 381296797 249635244 290080302 152162449 1000000000000000000 650844651 32562584 430193107 301618373 1000000000000000000 821939311 132663035 648530585 797957446 1000000000000000000 742086844 464007844 607443331 48629170 1000000000000000000 242161064 146048831 237191989 114655489 1000000000000000000 5470473 3944237 967725 4268407 1000000000000000000 361819600 325492169 213044235 357282263 1000000000000000000 729945332 677940341 567779816 55425575 1000000000000000000 857107710 44795525 547232251 369075756 1000000000000000000 976352896 801671938 718706624 383161534 1000000000000000000 949167095 10459642 95851709 540371400 1000000000000000000 183924821 37124629 53842806 148658767 1000000000000000000 945887865 222749477 739203449 284813366 1000000000000000000 303355365 52384231 26334014 116641793 1000000000000000000 859191564 17241108 370059459 188780861 1000000000000000000 191286906 44407164 124118627 152163144 1000000000000000000 624188954 525365156 599045455 480420851 1000000000000000000 890137181 569962324 404350002 638972411 1000000000000000000 958084651 144882987 537587229 306384194 1000000000000000000 668996048 653878746 467754090 184931457 1000000000000000000 404874356 110056411 64794697 384848549 1000000000000000000 824441889 431736457 807662713 325113640 1000000000000000000 250656726 249770158 2323952 104300978 1000000000000000000 726161838 602283684 573838785 659696149 1000000000000000000 147907905 121779375 80936008 11167771 1000000000000000000 264328033 244495924 102017626 42001858 1000000000000000000 776691413 464493848 661267133 439578889 1000000000000000000 3849193 832533 3636514 3378978 1000000000000000000 853098859 123315062 749345516 771500111 1000000000000000000 825617529 783555575 816190576 232476022 1000000000000000000 318216557 303404131 187222705 260888107 1000000000000000000 461061327 187079837 328575190 178262542 1000000000000000000 374778223 318290654 97434280 100930104 1000000000000000000 956333894 413862779 947196482 169909325 1000000000000000000 416840596 402941605 226183208 43378444 1000000000000000000 94347703 35734160 31190750 87555450 1000000000000000000 556488040 83424443 350146721 537554709 1000000000000000000 482985891 166435669 129721257 425817690 1000000000000000000 143183658 97374792 130259869 131570310 1000000000000000000 60685116 58000528 58263616 60171348 1000000000000000000 958229840 476898093 541409068 776114692 1000000000000000000 94148693 61038130 43678799 88002274 1000000000000000000 762061304 57223487 487876256 759556591 1000000000000000000 236641128 145127129 175366615 140516491 1000000000000000000 419740846 181808010 392335283 29071120 1000000000000000000 969136964 655180113 962331624 615367578 1000000000000000000 954815016 593833116 567875429 550954565 1000000000000000000 951249102 219510834 621688058 759589280 1000000000000000000 14588642 8481848 247275 8847811 1000000000000000000 361599574 3316265 285997802 183111072 1000000000000000000 418181221 75171488 14916744 157117086 1000000000000000000 614923313 364483296 473575561 58027942 1000000000000000000 94906632 90501109 32618675 53038883 1000000000000000000 862499109 264087660 359367655 58267740 1000000000000000000 337780494 33746812 150373633 132267869 1000000000000000000 162347255 61062706 38727355 42977888 1000000000000000000 869023586 275349376 271304085 492263389 1000000000000000000 419885049 15971109 274771953 337386092 1000000000000000000 928099234 83054167 181266972 184464847 1000000000000000000 577220611 129351876 302037135 514424631 1000000000000000000 616768952 102119642 120844206 293098444 1000000000000000000 467443265 414699924 79733711 450193610 1000000000000000000 171581694 28029112 124917638 132016311 1000000000000000000 851914890 735878719 141932408 719430588 1000000000000000000 924183482 379131437 517354936 507767634 1000000000000000000 90362378 82867843 29966707 14622062 1000000000000000000 6459015 3837303 3733138 1334136 1000000000000000000 909642252 637541829 845766079 787114999 1000000000000000000 186194520 129039627 78765394 56767165 1000000000000000000 193373069 79676793 64167964 13449058 1000000000000000000 6953911 3042077 3221789 6411305 1000000000000000000 338895527 324251702 282554649 227528114 1000000000000000000 918669851 759082529 656086464 281969653 1000000000000000000 7020922 4297709 2729865 3902601 1000000000000000000 481221488 467338825 81697868 91699677 1000000000000000000 302973501 38484822 132587505 84477870 1000000000000000000 445039598 192919319 196209547 272644041 1000000000000000000 360601310 296439163 279614912 23319286 1000000000000000000 209466692 130459529 125132012 165236701 1000000000000000000 556744697 409142241 69287703 207548219 1000000000000000000 554541760 493137222 500886769 108535950 1000000000000000000 835480768 226675589 566190453 709814015 1000000000000000000 645242863 40914885 136886911 348232786 1000000000000000000 371349983 5869857 275885029 220741751 1000000000000000000 344335186 88968277 226758131 199617797 1000000000000000000 733929402 688975573 324252328 623159779 1000000000000000000 600631214 46636421 124675875 24139351 1000000000000000000 725619389 439538552 593478813 241354540 1000000000000000000 81017859 57571539 22817150 12990312 1000000000000000000 313764341 136090491 239979047 304404954 1000000000000000000 384404676 170137633 240774082 294819811 1000000000000000000 434950622 401396150 416747442 426420443 1000000000000000000 471326763 161210390 177490272 261925474 1000000000000000000 644623617 358292751 278849500 63895353 1000000000000000000 807384554 580516532 78637013 399778613 1000000000000000000 617622271 390366378 605999308 250130001 1000000000000000000 416882844 245756635 163993012 187171483 1000000000000000000 883801439 578378083 602009862 522516721 1000000000000000000 56796337 53154772 23292574 41240756 1000000000000000000 172245188 114412769 157659709 60580565 1000000000000000000 377312868 163869675 268996734 99184837 1000000000000000000 415584835 1568379 271995621 126821896 1000000000000000000 872935198 41601167 683177762 637283177 1000000000000000000 1235950 813464 241550 172413 1000000000000000000 354385961 25167349 158059000 189265565 1000000000000000000 389347559 59605104 387308584 302969806 1000000000000000000 347010350 95413199 61470964 222491168 1000000000000000000 325278377 158136201 133897960 175488481 1000000000000000000 403833839 34009873 139410557 37108607 1000000000000000000 286570463 134447510 247352306 188586655 1000000000000000000 460887342 76680855 281648147 236369241 1000000000000000000 905828192 418425990 134676312 105987214 1000000000000000000 65698367 324865 51772549 6186083 1000000000000000000 216834669 185697072 24326621 417955 1000000000000000000 982340775 865193131 593087259 579858911 1000000000000000000 862965112 617387621 469627377 50646073 1000000000000000000 769378457 401701412 62612528 247471452 1000000000000000000 506707635 429788447 366109124 160657133 1000000000000000000 652643974 595465352 436757628 102321546 1000000000000000000 162597156 125609805 3287462 52133605 1000000000000000000 844612880 44216935 27727245 514667821 1000000000000000000 308321960 7184398 304699443 215621437 1000000000000000000 679342059 153104615 572888713 490478377 1000000000000000000 927506560 174838414 704831995 413687709 1000000000000000000 300539711 132266963 92354544 282437291 1000000000000000000 578994930 531797974 518638783 432328879 1000000000000000000 689332435 118380937 59377034 332239632 1000000000000000000 525418652 448217804 365381913 32416200 1000000000000000000 328969786 272283703 254357988 143230058 1000000000000000000 332608492 137680711 324726708 304837025 1000000000000000000 394648731 347306030 208083213 283686142 1000000000000000000 221193249 32024995 110080395 29028551 1000000000000000000 336411227 307718903 219236716 131051399 1000000000000000000 88110137 15930639 59754662 59118414 1000000000000000000 207832754 122313151 15170742 130175544 1000000000000000000 601791652 404085129 236175261 217944078 1000000000000000000 875929804 191476221 412296005 119913275 1000000000000000000 691495561 198169327 391029893 422477694 1000000000000000000 844583717 142385702 479643175 347967205 1000000000000000000 692363023 396186619 85253046 621963505 1000000000000000000 177413491 77674503 7685483 157927274 1000000000000000000 348288992 328007315 111914924 272129845 1000000000000000000 548325306 41794572 43545121 10465318 1000000000000000000 113096139 49771136 78868417 49017882 1000000000000000000 760087407 282423282 81346886 261366786 1000000000000000000 853883438 584107929 116800348 785327846 1000000000000000000 448372989 389083618 322314778 440337603 1000000000000000000 182662227 151950443 8600463 134123353 1000000000000000000 977052523 53457203 377617369 549288733 1000000000000000000 99149734 74132748 3970102 20489704 1000000000000000000 545744533 455313984 236837029 166615864 1000000000000000000 49046433 21827768 18009733 19230369 1000000000000000000 835320698 145570574 553607514 67485790 1000000000000000000 788984250 184461148 787854640 117294353 1000000000000000000 920915366 291102227 555429308 314011484 1000000000000000000 950019574 446426927 606651212 936761208 1000000000000000000 769744958 592482166 343532110 656079071 1000000000000000000 525947996 472320897 332290949 341832898 1000000000000000000 801115346 80491431 439637030 216444999 1000000000000000000 101129875 47562468 51568155 57180638 1000000000000000000 26065673 19300175 22726744 9179851 1000000000000000000 49090032 43432968 16440560 27950712 1000000000000000000 871441862 555145710 661306027 817435850 1000000000000000000 164597990 122150788 58684304 121277205 1000000000000000000 369265100 328582712 219743771 332871157 1000000000000000000 172959805 76728752 145025780 25401239 1000000000000000000 163923793 63914071 128923843 76016991 1000000000000000000 216189808 208528692 114231389 52813119 1000000000000000000 264068273 220272671 187300116 154228626 1000000000000000000 20475406 10695600 3621512 5981353 1000000000000000000 684564419 53778760 382281655 525843404 1000000000000000000 246912913 119347889 204875096 193308818 1000000000000000000 905915733 331327956 283960510 575989404 1000000000000000000 597309692 11660808 161638000 95916703 1000000000000000000 765501535 666806863 59844935 332610581 1000000000000000000 902128408 386940482 474625999 609267717 1000000000000000000 810725189 786112320 27192990 158812369 1000000000000000000 192723206 35378345 145604512 157420061 1000000000000000000 140702389 112827535 56191606 107407334 1000000000000000000 890753985 34760285 736709053 762726998 1000000000000000000 155105705 47128773 151445613 70459648 1000000000000000000 147190469 19578636 134890310 39726049 1000000000000000000 102266861 81823117 83207395 56144722 1000000000000000000 655455827 480495362 375481266 597847150 1000000000000000000 315622390 291646653 53589635 148162402 1000000000000000000 62526506 28724858 48092714 53771719 1000000000000000000 408086342 366953719 375079448 61856036 1000000000000000000 397794996 318847709 91331397 16302347 1000000000000000000 930862785 819029659 136623482 559502944 1000000000000000000 756803939 409577299 266833321 368356452 1000000000000000000 320437837 249888358 200831884 188907636 1000000000000000000 232483789 164801909 23289008 34230252 1000000000000000000 257482381 254636235 136949704 2979498 1000000000000000000 455147596 157362258 274223597 132411503 1000000000000000000 224559297 153287850 100554247 144676348 1000000000000000000 465333009 64203292 375421320 120246317 1000000000000000000 277546007 274416615 193468536 247588128 1000000000000000000 139632445 87261160 29982295 126784083 1000000000000000000 555484021 77529401 495152343 169177998 1000000000000000000 133255449 117440297 14199531 98923420 1000000000000000000 921046520 228760223 481900947 114686660 1000000000000000000 987892739 842817623 785071974 107596956 1000000000000000000 919842394 423591442 580551739 195323695 1000000000000000000 471310301 196316837 329850886 105146988 1000000000000000000 343816047 51496670 289465974 315867305 1000000000000000000 545690322 514363129 487923076 309813146 1000000000000000000 702611866 447987250 32659231 508933794 1000000000000000000 508014221 21697865 385349576 32528547 1000000000000000000 269220163 175748909 85238710 262069549 1000000000000000000 773076694 168488674 517940925 65114108 1000000000000000000 307355193 298937811 67082016 70161138 1000000000000000000 65299180 52197393 64142188 64111114 1000000000000000000 30820958 20024871 28791781 30452072 1000000000000000000 58957813 40704944 18806430 26301502 1000000000000000000 606609089 411665982 107279782 556180529 1000000000000000000 979739563 621046857 729684808 723098628 1000000000000000000 342658121 233805837 245338639 307126993 1000000000000000000 85679164 49126855 58285045 79221287 1000000000000000000 226658476 105012945 106489970 207669085 1000000000000000000 204964603 11530714 199902772 94797446 1000000000000000000 640956709 161835453 257652756 22114093 1000000000000000000 474716986 60851014 364461219 81736011 1000000000000000000 608822258 385099418 572952773 322189643 1000000000000000000 505275169 327476169 297148852 314610597 1000000000000000000 855305623 98994203 105602505 321971100 1000000000000000000 409162603 392764882 103387003 10688921 1000000000000000000 571505128 79281322 433627167 165835207 1000000000000000000 23429172 16686743 3079584 20588470 1000000000000000000 131805289 2785585 108945143 66680428 1000000000000000000 223131488 41157152 41397746 41050254 1000000000000000000 411771994 151937471 291370843 243503989 1000000000000000000 735665995 398759432 484962411 388120187 1000000000000000000 243703120 149750033 202495721 121336982 1000000000000000000 156964029 34568928 127953798 131163137 1000000000000000000 869972186 395904808 657598741 719252342 1000000000000000000 6848352 4735070 345547 2775706 1000000000000000000 76747660 48069137 6339642 22821217 1000000000000000000 60024894 36533 38219726 26761976 1000000000000000000 421948862 409372095 84824923 3241536 1000000000000000000 341187230 50914766 104112967 245667156 1000000000000000000 835576722 166242018 253006820 113572055 1000000000000000000 172016852 88003009 127171473 166555 1000000000000000000 112577387 91207861 93500773 79969143 1000000000000000000 95480027 59463509 17534044 61459127 1000000000000000000 441624340 278095858 32433469 416605218 1000000000000000000 466035954 94893210 347531169 11360466 1000000000000000000 896758118 253088370 365156201 778339412 1000000000000000000 165797607 28734664 75538927 70126199 1000000000000000000 500013350 347947374 260759776 459985655 1000000000000000000 994538663 552404481 477276052 467250560 1000000000000000000 91279279 64700485 9185248 49498591 1000000000000000000 360408716 221060504 250784590 133750037 1000000000000000000 120099871 52746398 80824960 75379503 1000000000000000000 271886846 26851255 262834291 56455763 1000000000000000000 649495019 198362706 351798995 416603305 1000000000000000000 120970489 2966445 37449624 41533883 1000000000000000000 957163772 788008543 223413538 534401590 1000000000000000000 270767456 37205920 203923066 115537281 1000000000000000000 814020007 597399531 579992307 114813795 1000000000000000000 955007797 22224594 508269624 673926072 1000000000000000000 498490303 371685105 108548227 60237023 1000000000000000000 617211150 16881720 555459627 453637517 1000000000000000000 779535792 512374612 84410344 246408064 1000000000000000000 439427526 21194605 427076015 68101749 1000000000000000000 836042143 155930985 341156983 565509182 1000000000000000000 493779568 488876181 473717068 271034541 1000000000000000000 901808151 365736716 326659965 733635982 1000000000000000000 802599463 697564875 526882331 661046873 1000000000000000000 68536521 35076620 35185377 60107279 1000000000000000000 461463006 133206814 403618018 152386083 1000000000000000000 342803712 56621075 39204208 79093118 1000000000000000000 913525029 912437407 606883759 688856341 1000000000000000000 207736869 185702704 156206534 156713207 1000000000000000000 945145127 207350525 28970515 781961952 1000000000000000000 992325766 657356617 44591847 341984832 1000000000000000000 851274630 790270640 283270442 623443882 1000000000000000000 649378448 259655344 97131567 120002020 1000000000000000000 229414671 79434993 207362248 82045611 1000000000000000000 387863108 276116205 116618313 41490239 1000000000000000000 379922833 239915363 100979165 330602680 1000000000000000000 751619861 92551648 343704471 133136347 1000000000000000000 280189286 210703811 221568802 135163873 1000000000000000000 968077765 959103833 37724144 590373813 1000000000000000000 380047354 131991276 303848857 165073607 1000000000000000000 98541348 34243400 70232037 48347224 1000000000000000000 346378164 56586272 69707225 141704620 1000000000000000000 379304131 338052432 277186042 241841897 1000000000000000000 864005046 644227032 792764627 624623506 1000000000000000000 691934430 652242365 19237384 60408321 1000000000000000000 283090089 56014317 190382198 248859274 1000000000000000000 804573587 28080935 507051005 200391419 1000000000000000000 988969309 378063148 563324865 781722360 1000000000000000000 338223069 211386750 30847303 60707915 1000000000000000000 281130476 65595436 78644416 77518121 1000000000000000000 367521989 53144439 210440373 4855706 1000000000000000000 934267708 856317432 813850434 173110985 1000000000000000000 808447828 314905426 649638239 19728235 1000000000000000000 17761815 9906705 7099765 11287307 1000000000000000000 312704343 124382185 122880601 305273714 1000000000000000000 165742272 112735877 32507829 10507301 1000000000000000000 446083874 389279073 212812796 73696117 1000000000000000000 961050752 594244135 906034780 144632653 1000000000000000000 983449175 211129040 715282289 279224029 1000000000000000000 654232597 249504577 428502491 331876370 1000000000000000000 63956093 55923094 8941692 24185445 1000000000000000000 759313682 612712988 540602210 625876143 1000000000000000000 648318560 165509168 219076642 461060762 1000000000000000000 1997775 929927 1975015 1860378 1000000000000000000 136939715 7148167 90383297 75549083 1000000000000000000 470490199 212585491 357199341 289678398 1000000000000000000 343629288 265944815 310116760 125757304 1000000000000000000 110015701 36372996 50378768 68743301 1000000000000000000 869445279 531592018 546860802 815930801 1000000000000000000 355064263 16726935 245693944 350718578 1000000000000000000 434402854 35185767 70127824 337711036 1000000000000000000 623679012 358031255 70587384 612819708 1000000000000000000 144376344 55876724 22839681 69120475 1000000000000000000 21334639 8386746 2943157 8987007 1000000000000000000 376127794 204550017 251242311 258142750 1000000000000000000 761370685 284866745 405289875 153944134 1000000000000000000 603186580 141380099 84446533 151875840 1000000000000000000 231707028 84621699 174715303 168414747 1000000000000000000 595886852 245664345 125323224 568304357 1000000000000000000 148452440 47202793 111953509 133234168 1000000000000000000 355341936 324986300 127168861 34736044 1000000000000000000 308521128 12321548 273325603 219374226 1000000000000000000 394427303 180229602 157604288 21790898 1000000000000000000 431456121 121198301 254936962 424425982 1000000000000000000 892782676 265630657 304790214 406075409 1000000000000000000 307502760 44685589 68730235 231290217 1000000000000000000 336463890 99226412 139932495 15561005 1000000000000000000 512039320 400722502 391817495 147228416 1000000000000000000 733809813 406738009 384341575 633129896 1000000000000000000 261340056 64252204 90686520 43804880 1000000000000000000 965386950 588154772 519865499 524106608 1000000000000000000 900712897 348215502 688804281 240446828 1000000000000000000 568640744 419002371 122037112 85930873 1000000000000000000 711166184 279858183 226529233 553379518 1000000000000000000 95182410 89521941 23173589 61736509 1000000000000000000 504514176 466512007 273191827 392613775 1000000000000000000 267111483 149821024 260396359 207986105 1000000000000000000 262721181 79127562 251017430 153864531 1000000000000000000 784793347 615277523 592525143 125695527 1000000000000000000 907567187 264811059 869880832 513019980 1000000000000000000 175476016 76658680 123090971 172473100 1000000000000000000 732814974 94113110 187023287 725151107 1000000000000000000 987167422 416640724 387807211 338292783 1000000000000000000 820144161 423854941 374484002 24492434 1000000000000000000 704743790 12895033 259889914 624193624 1000000000000000000 442584347 84715287 228288633 20987192 1000000000000000000 562205079 507729041 405634081 165686613 1000000000000000000 579323781 135316336 519290134 218477288 1000000000000000000 346785912 117219232 136241511 317313694 1000000000000000000 297477073 294258618 16598855 231839372 1000000000000000000 499753838 428072388 172757187 24508960 1000000000000000000 171096370 146302226 29412157 159278048 1000000000000000000 335768500 325089345 258902553 121746368 1000000000000000000 816536654 771461229 473354852 681951510 1000000000000000000 879618535 112891595 482950532 840072206 1000000000000000000 199164489 51433692 176057481 71654909 1000000000000000000 479337695 61543331 356012673 290588039 1000000000000000000 736909508 243811143 484235769 557440605 1000000000000000000 584405261 346725333 335113892 499521163 1000000000000000000 537211533 509047519 525702837 468614770 1000000000000000000 894850898 188816264 644593939 21815939 1000000000000000000 599288296 377411364 53720936 542176718 1000000000000000000 124198402 108610832 114150702 76275966 1000000000000000000 27041741 9161318 7502105 15667159 1000000000000000000 300149556 192222127 113292136 91665336 1000000000000000000 995220266 483391874 355661519 990357567 1000000000000000000 751976983 621174714 392386346 151439607 1000000000000000000 345221429 72036391 237050864 241710773 1000000000000000000 117853563 5423105 89850882 81913540 1000000000000000000 295463756 273783329 167883587 31311548 1000000000000000000 834417735 828655293 830864639 749643981 1000000000000000000 977593398 976640155 973633338 152879555 1000000000000000000 528340512 436428669 367601284 174302176 1000000000000000000 715719533 329103781 491575304 549299189 1000000000000000000 517684809 37413290 151297243 238384041 1000000000000000000 639635732 65707262 517354369 100177170 1000000000000000000 27678496 13687726 16210755 15690973 1000000000000000000 867657669 335629265 739235645 614397525 1000000000000000000 832722790 675435100 677588720 638892662 1000000000000000000 188005666 158487604 30836062 10928180 1000000000000000000 956339251 80669518 836507732 452099858 1000000000000000000 549001919 540271478 25472768 95385367 1000000000000000000 69417524 18836970 6892466 48671530 1000000000000000000 871959144 463141558 30008244 579685921 1000000000000000000 555370992 213499177 549992345 212578375 1000000000000000000 369294636 120939227 197984049 10239057 1000000000000000000 94395582 61363974 60310871 52566406 1000000000000000000 833860488 735081061 762328650 473891828 1000000000000000000 308488351 255293887 111111939 118746867 1000000000000000000 479451635 52866702 62959668 347374687 1000000000000000000 756344347 86604621 301561986 322225776 1000000000000000000 160661843 146872863 63483889 98081070 1000000000000000000 211714685 72403915 112334680 141438583 1000000000000000000 316866779 53895545 70763063 311588818 1000000000000000000 615513276 612446045 607629906 334795730 1000000000000000000 684360714 7372390 666203650 349985035 1000000000000000000 364189729 318098810 342791392 105172764 1000000000000000000 387833411 122958715 215168930 352260223 1000000000000000000 92653312 33721040 22361377 74559038 1000000000000000000 899788410 556047406 203565083 721928087 1000000000000000000 582301573 231736716 211466820 54950921 1000000000000000000 288284321 97641206 103187822 249809605 1000000000000000000 837236123 530798498 37370564 716773874 1000000000000000000 528177220 333484198 524972666 193115793 1000000000000000000 981194960 165222565 918421953 373312616 1000000000000000000 250061821 210977068 203443049 85805515 1000000000000000000 325045560 296492188 9697563 284342339 1000000000000000000 453306176 213042366 40007462 121481435 1000000000000000000 396554710 334456541 395830847 223397589 1000000000000000000 311998260 54384559 289333101 306000277 1000000000000000000 565900197 72643235 89641939 183054878 1000000000000000000 649787219 505846408 587130601 176667736 1000000000000000000 710472346 176198104 68319081 17646754 1000000000000000000 104871236 23897331 38499108 88897156 1000000000000000000 232292042 43221505 166809003 157570849 1000000000000000000 462058465 169499534 9260949 360236754 1000000000000000000 901011758 371020657 651665832 335754045 1000000000000000000 98924168 97831435 2048872 17420827 1000000000000000000 995630317 971449369 285659036 763863566 1000000000000000000 242683639 28762199 50814318 170717648 1000000000000000000 501695434 352584111 60206745 218864656 1000000000000000000 931603340 598567916 566669528 744625505 1000000000000000000 801137530 185271004 388295543 132410732 1000000000000000000 978440209 777090755 964222275 937491559 1000000000000000000 737542739 368001986 617206645 637438687 1000000000000000000 893763616 669463890 773275972 7214031 1000000000000000000 910762338 473129623 704900417 529673488 1000000000000000000 482336397 99746361 172365330 277247606 1000000000000000000 215649746 112743342 177671061 117322949 1000000000000000000 702713323 124531878 173989022 494948949 1000000000000000000 626727655 579384310 11436475 499924432 1000000000000000000 24679882 7983718 3128426 20267315 1000000000000000000 32602025 24665711 2782688 2600987 1000000000000000000 244729227 84933303 28387348 99610197 1000000000000000000 973161497 608475319 714399446 904425056 1000000000000000000 481450403 145788761 277464368 61015175 1000000000000000000 912967516 178584478 115672445 620138489 1000000000000000000 660687049 104131556 480759539 476057756 1000000000000000000 753199022 176455200 554985635 257771742 1000000000000000000 398038567 99186777 359492239 80605648 1000000000000000000 522527402 353003300 359214358 205813254 1000000000000000000 492686678 180670942 365082915 260344608 1000000000000000000 154101909 137361709 19379935 61633776 1000000000000000000 894778706 740165544 681616943 867171399 1000000000000000000 54682011 36155996 45913715 48716272 1000000000000000000 49565438 38423474 13453371 35080741 1000000000000000000 963994508 743541024 83718697 541573747 1000000000000000000 958437088 821842435 908765724 6693681 1000000000000000000 690678051 171073884 251592297 163558310 1000000000000000000 805585189 629117029 193925251 144955097 1000000000000000000 358488819 265362599 155783009 325519095 1000000000000000000 522397817 339261997 159118933 205317510 1000000000000000000 180962530 147735764 155190021 55389144 1000000000000000000 289401302 182575328 135322335 4778909 1000000000000000000 183828124 174590460 128728286 155496828 1000000000000000000 810278601 559936470 109078067 564469677 1000000000000000000 434782225 4351991 81664250 261955521 1000000000000000000 90302685 30211229 9578867 20584703 1000000000000000000 892949339 188691366 493951824 135476492 1000000000000000000 643866058 185677450 421101248 224009098 1000000000000000000 77159494 13294166 17639327 22004892 1000000000000000000 358981057 45259385 355370241 268113262 1000000000000000000 582442730 209612016 432942846 376356247 1000000000000000000 514368876 421238829 51210962 120619400 1000000000000000000 404009558 16619671 292176532 192483163 1000000000000000000 784242320 469703318 200558882 293089178 1000000000000000000 778202297 105598140 633418388 672223865 1000000000000000000 979430929 109985996 205203514 786122212 1000000000000000000 951688443 361391829 150263680 817008760 1000000000000000000 271937234 220602793 207044071 15692554 1000000000000000000 5134764 3272328 1513839 3129686 1000000000000000000 372199238 214579487 300911759 292770134 1000000000000000000 700827975 77029536 435032510 162723135 1000000000000000000 41012468 13804005 32644461 13946418 1000000000000000000 919740647 270716728 379678372 471542286 1000000000000000000 262139386 79779002 44496298 136197485 1000000000000000000 29025642 22864713 3930881 26022503 1000000000000000000 374633964 176115041 163487553 705310 1000000000000000000 47952090 18355645 28113876 43372344 1000000000000000000 797670921 45207713 289160219 656694835 1000000000000000000 304614247 230234828 142918722 222406704 1000000000000000000 640629706 361382622 322844834 477190296 1000000000000000000 372315338 168040514 63863446 22257624 1000000000000000000 826669051 63184565 68572552 499275523 1000000000000000000 693082839 209018570 614779834 252814557 1000000000000000000 110558411 16263702 84966952 7856003 1000000000000000000 204187172 71390822 186625142 29035069 1000000000000000000 50834668 14381934 40061345 35166508 1000000000000000000 114662171 41016958 18075512 57175458 1000000000000000000 771821786 131494479 397867730 312770014 1000000000000000000 940748251 497012144 812385400 548802039 1000000000000000000 465470051 193355993 184338363 171038758 1000000000000000000 423056160 192776561 26332635 12834933 1000000000000000000 771910277 701526962 656010273 112061350 1000000000000000000 6787039 6149545 644001 912359 1000000000000000000 210485422 150609143 119581482 146696104 1000000000000000000 193184925 180389383 19937855 33870152 1000000000000000000 339658262 219343832 107245195 119276524 1000000000000000000 74809284 53251303 60531198 66822451 1000000000000000000 112629203 112246758 68179254 85935487 1000000000000000000 207455678 86562151 115858393 178301737 1000000000000000000 431224689 24018268 379823896 206826560 1000000000000000000 558897344 455608480 521180797 220347905 1000000000000000000 569296007 149220779 432024815 264953515 1000000000000000000 322551006 9610098 23066583 185326438 1000000000000000000 350425813 72957258 233109617 21482230 1000000000000000000 457391529 412572234 414866626 408384803 1000000000000000000 507504892 483303256 367713555 334574724 1000000000000000000 213546858 25153304 95462783 103012916 1000000000000000000 24140245 8666264 22690862 11985914 1000000000000000000 153549852 66485574 95569643 35958908 1000000000000000000 276935287 28246844 87163609 93534512 1000000000000000000 866781044 691840613 13241299 289001991 1000000000000000000 930979951 641964949 432891879 39890671 1000000000000000000 21174832 11566975 12552853 9674361 1000000000000000000 813081157 740310085 168197714 93760070 1000000000000000000 867656235 190367082 801776106 215473810 1000000000000000000 84267578 20058465 38386812 44821963 1000000000000000000 484926700 282756643 102374674 330644767 1000000000000000000 535267511 391131518 502108060 487838181 1000000000000000000 907782601 791110965 440442672 385330953 1000000000000000000 646408228 276618632 444848104 253363454 1000000000000000000 766258177 246025565 609335378 96959069 1000000000000000000 700603715 319805126 359697968 443636269 1000000000000000000 196203675 169531702 67164384 44722575 1000000000000000000 864714011 470725674 258327896 832615174 1000000000000000000 374755600 188251972 118749118 251112016 1000000000000000000 519552664 63937498 216854566 228738108 1000000000000000000 805191300 367883057 134877226 750456030 1000000000000000000 766463255 595291179 533659854 624718282 1000000000000000000 649087385 608886500 44775775 641603573 1000000000000000000 896474560 361685302 870186095 348501080 1000000000000000000 418533795 403384459 260734736 168167273 1000000000000000000 762801713 241813511 197550291 504816535 1000000000000000000 853292894 347990406 142742529 222926095 1000000000000000000 313187742 281707292 234400935 206866592 1000000000000000000 851080758 418279232 103748566 766663435 1000000000000000000 474816192 128826810 234232509 107891935 1000000000000000000 213529926 86944146 138555309 194611734 1000000000000000000 440068815 212256025 163767933 421858930 1000000000000000000 802175989 381614488 543206353 12756364 1000000000000000000 452528083 53120775 222678627 290164461 1000000000000000000 191621798 111988877 180890730 22466335 1000000000000000000 444856203 433492842 290209408 234258445 1000000000000000000 365902950 175449969 200680519 32783827 1000000000000000000 593441151 531496238 131655603 471392667 1000000000000000000 431916629 199857050 2358939 244453861 1000000000000000000 508711517 492062982 214350132 341934194 1000000000000000000 534825386 249915520 210650656 528182595 1000000000000000000 675710697 584503639 624710297 323776755 1000000000000000000 307864622 86088019 205597710 191916876 1000000000000000000 341744371 56498961 42976859 210762809 1000000000000000000 932196996 132158165 327973983 125946534 1000000000000000000 665834838 662297819 421712978 159602045 1000000000000000000 577248439 14497202 126377958 335228712 1000000000000000000 549460628 442072446 425359518 153908157 1000000000000000000 144157621 142888525 34302200 31123131 1000000000000000000 105494896 21877910 15725982 18750965 1000000000000000000 843119638 479198147 44776277 486477479 1000000000000000000 254989145 196551889 133564154 250398212 1000000000000000000 778808461 145813839 426199097 333097381 1000000000000000000 692336710 26323513 687937017 146566481 1000000000000000000 2975384 2207842 2082509 2366945 1000000000000000000 765477898 320197363 753946863 398961307 1000000000000000000 873206156 134873176 192169405 791872114 1000000000000000000 714795571 365015510 394321771 247511883 1000000000000000000 565232295 353226179 225919452 424323301 1000000000000000000 812809395 563984045 54073210 346399014 1000000000000000000 808714425 672430590 10256580 601777324 1000000000000000000 382282069 308504043 272824507 33677924 1000000000000000000 431957105 426483721 428657563 339759229 1000000000000000000 640992158 317847134 102239496 334485616 1000000000000000000 21290206 520056 17906672 323839 1000000000000000000 812985588 66619033 346756319 639044403 1000000000000000000 687566027 121859127 23777873 25192716 1000000000000000000 17413151 738878 758651 7018927 1000000000000000000 714289993 288211596 277299115 373492589 1000000000000000000 932960838 151632126 90014269 601014770 1000000000000000000 309291316 119649958 254820032 67081279 1000000000000000000 34489905 21007907 7360704 32426627 1000000000000000000 569653374 166275716 360351851 46061244 1000000000000000000 518499925 375794916 59843097 486682641 1000000000000000000 19742780 8880735 7330630 10129986 1000000000000000000 205753386 147740576 5250967 118095492 1000000000000000000 486658245 338389691 325276954 190306114 1000000000000000000 449002113 355391962 207268477 341447277 1000000000000000000 288028647 52963389 262426679 6735263 1000000000000000000 120432362 115354414 95851861 35015789 1000000000000000000 717443886 288555152 160340663 105041937 1000000000000000000 507245170 507117307 268752629 386523624 1000000000000000000 797461567 645713383 612524933 651148212 1000000000000000000 652187567 211835751 574885430 429424110 1000000000000000000 915007629 262629629 591704861 221358208 1000000000000000000 775168293 113444870 623784936 425780141 1000000000000000000 118100337 106624425 25685883 39868746 1000000000000000000 120266656 34189740 27066863 112097570 1000000000000000000 576267358 293319139 282349234 375669180 1000000000000000000 855877809 373337359 431549604 536397530 1000000000000000000 996223085 287527680 690616767 564767945 1000000000000000000 255398626 131480267 66586214 136712233 1000000000000000000 260628025 170223081 56560870 163573945 1000000000000000000 586263099 10537755 490669845 406054633 1000000000000000000 978178390 749677319 638647545 941696454 1000000000000000000 118109039 5006502 32838391 68829729 1000000000000000000 789301241 224375499 57996186 44211190 1000000000000000000 497687433 223446293 121681813 199236843 1000000000000000000 324132347 158044405 281697733 19131516 1000000000000000000 286414471 106806919 130810614 243597884 1000000000000000000 435246320 423503154 264878540 283461270 1000000000000000000 139336842 57055919 51960048 4787235 1000000000000000000 205866548 88590742 89344450 160250202 1000000000000000000 388379037 128161944 57297104 92277549 1000000000000000000 279682957 201981358 233561372 245614902 1000000000000000000 865940689 333472440 380212105 99157893 1000000000000000000 470113197 96980924 23919021 295257465 1000000000000000000 787250036 681572184 145985160 176896625 1000000000000000000 37241888 30021075 27779950 28630851 1000000000000000000 407233059 185005599 36075617 212318630 1000000000000000000 423676727 258756692 90972612 414465605 1000000000000000000 439237863 218846960 165223714 273314867 1000000000000000000 190606142 92349578 87162139 130055337 1000000000000000000 143880793 116869310 21254886 101904633 1000000000000000000 756403016 398825969 86016537 209362112 1000000000000000000 919797138 871042759 908516645 262297851 1000000000000000000 361048711 155324399 98191622 143758742 1000000000000000000 71925725 1032288 5065132 47557272 1000000000000000000 37217456 27767009 15369576 2919695 1000000000000000000 678828482 203722131 145435414 291584938 1000000000000000000 58957289 24873860 4716473 19066793 1000000000000000000 639118675 168607496 349902822 245114717 1000000000000000000 408534369 169862430 47095563 356942223 1000000000000000000 685448319 614517642 320847824 445024493 1000000000000000000 229189157 113251809 208725757 133192951 1000000000000000000 850572835 836295372 557614568 157078319 1000000000000000000 708270957 117515464 601531429 303992030 1000000000000000000 61286381 4377470 14784928 6601425 1000000000000000000 757853006 102504687 656586078 111419008 1000000000000000000 671453082 248129847 86170594 232676557 1000000000000000000 381010542 20031038 291992631 288855561 1000000000000000000 796709202 152315260 456954316 341864326 1000000000000000000 971414236 243631662 254111380 170168594 1000000000000000000 421641508 149857973 199693297 352032449 1000000000000000000 275684733 202264168 102065090 66107741 1000000000000000000 937835198 895867335 404507478 229441067 1000000000000000000 548490182 516080808 79305319 143724014 1000000000000000000 669179548 48697312 76556110 184563185 1000000000000000000 872666489 95034232 846314635 637961378 1000000000000000000 759001744 197531986 49794223 422479908 1000000000000000000 640788275 109786149 340345395 599483620 1000000000000000000 720699700 168634107 111396676 123226612 1000000000000000000 981367334 166691502 650205811 874665941 1000000000000000000 711187880 203629414 535157714 474288699 1000000000000000000 209240818 183275759 156509796 182204500 1000000000000000000 864403525 260707775 131269971 445755433 1000000000000000000 781670227 235899289 13028212 134120133 1000000000000000000 380097175 371251877 44848007 241927881 1000000000000000000 923071704 781495257 304729092 789495170 1000000000000000000 62228267 43022672 8710281 13259470 1000000000000000000 462639427 328785002 449764050 363914291 1000000000000000000 70693210 34871458 38693266 23883207 1000000000000000000 937894861 8361058 8779287 85197724 1000000000000000000 438937365 165753362 345895159 108827926 1000000000000000000 929424848 37675971 245022796 852761567 1000000000000000000 756886279 352585793 33535328 13299839 1000000000000000000 910776452 822898774 205372534 82859374 1000000000000000000 185151360 133901309 126045053 106606489 1000000000000000000 726900880 23532712 566719322 418937456 1000000000000000000 243359934 191324922 81368464 205525235 1000000000000000000 708510232 535020605 646369510 74523479 1000000000000000000 447368634 77641087 129454698 155372494 1000000000000000000 180144004 113908683 68833114 54957183 1000000000000000000 374007942 177887735 372824244 339472247 1000000000000000000 983988877 888923719 788259065 602509806 1000000000000000000 652730666 155776117 306931062 634727666 1000000000000000000 141540816 14919620 24029977 9552576 1000000000000000000 692904053 111253106 457535076 471097783 1000000000000000000 512261571 83296637 377418456 391755051 1000000000000000000 204089029 162593861 133475903 138160556 1000000000000000000 211049895 129767080 17521208 40932365 1000000000000000000 349375481 218897805 83294661 335747880 1000000000000000000 890328200 799614033 572825373 522113377 1000000000000000000 236701728 21053544 41932340 192129971 1000000000000000000 688388902 153063280 269304894 518665819 1000000000000000000 455609188 260128662 381227323 172145812 1000000000000000000 887471088 662958451 702739126 319053381 1000000000000000000 49327988 7296039 9651144 19281545 1000000000000000000 326045717 207061124 283727196 218877153 1000000000000000000 70606442 20964755 41228734 67008637 1000000000000000000 259342663 146737304 55291819 163721092 1000000000000000000 923987896 213461378 269564833 428446918 1000000000000000000 42708990 40431959 15672653 40304761 1000000000000000000 887259845 45205424 34838014 389477880 1000000000000000000 637734831 69965922 3580259 209757898 1000000000000000000 537725275 199502298 389349682 520433710 1000000000000000000 978832339 144176445 827719391 793773000 1000000000000000000 926321174 465459433 284334212 521877328 1000000000000000000 634581968 250857017 459608369 596534005 1000000000000000000 108329704 56274240 92309399 96571153 1000000000000000000 760438293 337791115 714917191 745023571 1000000000000000000 347804447 137217139 50565049 68245470 1000000000000000000 271167925 90993960 6402601 154824807 1000000000000000000 826263075 704366424 446237166 643691276 1000000000000000000 796711812 270265187 711700906 51282700 1000000000000000000 806342050 45872603 228302726 580546463 1000000000000000000 372044338 157634860 144151313 56477180 1000000000000000000 392817120 89992185 66491735 342564420 1000000000000000000 189949582 148454540 41503487 170245413 1000000000000000000 443190232 430947824 14800457 199735831 1000000000000000000 633694608 151493793 417693336 567397649 1000000000000000000 16693271 2641164 15729030 7589131 1000000000000000000 483507583 260010218 477202827 14902311 1000000000000000000 246565801 63580184 102202749 60512231 1000000000000000000 112576223 32713662 55121736 71669263 1000000000000000000 811780791 320852338 151237467 630317025 1000000000000000000 744126589 186986363 201546356 56069396 1000000000000000000 486518455 396849978 251015488 168763969 1000000000000000000 849144480 36396471 823328918 610199673 1000000000000000000 346715218 34697478 137643736 234399326 1000000000000000000 656810424 651454473 475811033 512193460 1000000000000000000 851753876 602355493 746000172 163255449 1000000000000000000 296268461 26812091 12343112 154539469 1000000000000000000 349292742 302241664 105166110 193449862 1000000000000000000 827309305 670841823 392659863 391754932 1000000000000000000 180206565 179124176 150775854 1647104 1000000000000000000 174348347 100706137 108783972 136297327 1000000000000000000 19877285 1534905 3928995 4745361 1000000000000000000 486193213 293004919 434651073 398031893 1000000000000000000 941255795 80456712 301526564 537055055 1000000000000000000 686989341 473410775 626068725 663937521 1000000000000000000 835828437 245937491 127891314 37012031 1000000000000000000 291381616 247321592 10819143 138877577 1000000000000000000 88079139 34194366 64448290 37135120 1000000000000000000 988822466 875258658 582735026 77147964 1000000000000000000 974051469 120862248 638866196 52689619 1000000000000000000 680064202 299404416 382567125 280094866 1000000000000000000 633193583 596449522 234624645 25905275 1000000000000000000 700223181 330858215 301504324 162704442 1000000000000000000 455831756 375964221 12432134 354559149 1000000000000000000 18161296 757103 13374000 6987794 1000000000000000000 367118054 126984697 206317215 40030131 1000000000000000000 389406325 166422595 308284047 348957839 1000000000000000000 364234291 141017376 46889637 255665770 1000000000000000000 950700967 396223528 342718970 586397161 1000000000000000000 477547365 124445266 276213370 62344947 1000000000000000000 851896549 32892176 540694567 403221584 1000000000000000000 637688664 380012470 494423064 355569980 1000000000000000000 271325289 49237987 226082785 130904946 1000000000000000000 10096235 4246241 3389084 6848550 1000000000000000000 186635264 62503230 70864426 17066880 1000000000000000000 305006900 14237625 26285253 44716619 1000000000000000000 842366956 203760456 785393282 51925450 1000000000000000000 511779948 242430356 297337520 9449246 1000000000000000000 263645036 180415128 44290823 8496603 1000000000000000000 494080080 256193506 165625151 279555649 1000000000000000000 595534140 576090202 13398435 298847283 1000000000000000000 926130477 631993151 412050235 379019438 1000000000000000000 96001227 55014880 83190208 81924212 1000000000000000000 268499741 50896835 115120679 58564543 1000000000000000000 697196448 384361647 484849854 519471918 1000000000000000000 683791346 428952084 275969408 132573337 1000000000000000000 528393244 373246044 271581924 201614655 1000000000000000000 460626872 32937754 134719639 149420910 1000000000000000000 695327131 354389265 499561784 386112489 1000000000000000000 346299282 69452534 313180609 90866090 1000000000000000000 469619957 167434158 315023687 224921310 1000000000000000000 161211221 45381506 138849765 80041419 1000000000000000000 852917889 645167239 553387715 350954909 1000000000000000000 549611313 129237828 411897887 117843002 1000000000000000000 849194786 602637766 326910288 7483069 1000000000000000000 831275686 339203966 408436403 430497347 1000000000000000000 28343670 26351334 11088984 16642141 1000000000000000000 971407795 825147573 422393934 209959504 1000000000000000000 111935579 37335042 25331214 40533646 1000000000000000000 266566339 134517564 260575387 180614644 1000000000000000000 413051886 358701899 392209881 260789799 1000000000000000000 492172172 370512152 253632134 137101969 1000000000000000000 409910648 283992869 39840961 42356844 1000000000000000000 380058836 297013450 232901280 197404134 1000000000000000000 847202502 629966505 150408516 625208321 1000000000000000000 177671312 63648110 53694758 106932337 1000000000000000000 285222615 87154339 65850556 3914892 1000000000000000000 943633836 110004789 530948107 818692320 1000000000000000000 379124440 321581467 70399575 341078181 1000000000000000000 306344259 31767503 81533151 76528765 1000000000000000000 110672157 13516246 29610667 74341626 1000000000000000000 991513095 926680170 441561475 833307901 1000000000000000000 412919587 233675619 289702114 396658315 1000000000000000000 50121114 47328301 36284321 48988792 1000000000000000000 132110285 54024978 109693884 24830505 1000000000000000000 529226214 39045246 177285822 76162070 1000000000000000000 560275536 238037755 380968924 418198726 1000000000000000000 584940207 229113682 167582799 554889614 1000000000000000000 203264776 65887531 144036939 52780285 1000000000000000000 54684403 41239261 44323118 29710927 1000000000000000000 30098922 13951493 1718408 25932049 1000000000000000000 817745172 809438734 71346905 241465554 1000000000000000000 234807875 40829202 6837133 156324235 1000000000000000000 57749369 15303205 42671017 23155866 1000000000000000000 776931849 634781324 571886147 55769663 1000000000000000000 80242562 8115821 43122437 55341181 1000000000000000000 623214056 481782935 594310122 21760761 1000000000000000000 196007001 22557954 144620208 130117918 1000000000000000000 284662907 207398413 115353684 37073767 1000000000000000000 229747280 182862681 45622010 155845205 1000000000000000000 635954027 23886511 599271898 420194364 1000000000000000000 243891470 230199633 236736185 25712950 1000000000000000000 993923160 561409772 594185691 665370221 1000000000000000000 393365756 185183977 309696072 24152 1000000000000000000 10922335 3420142 4181998 5166038 1000000000000000000 496947306 463228651 262808912 125355743 1000000000000000000 345450623 180381513 320918291 258791763 1000000000000000000 743606425 118535047 197457696 46409903 1000000000000000000 727318646 563812204 427324278 648314909 1000000000000000000 508375641 6354626 483046447 325345324 1000000000000000000 872957723 433208858 420679656 89122743 1000000000000000000 405541193 306360518 275775255 151146995 1000000000000000000 892445333 267023210 610933847 285905682 1000000000000000000 975554369 696933765 503529072 665753179 1000000000000000000 369179641 329767871 162428102 358593063 1000000000000000000 167743376 33090032 83621687 95010169 1000000000000000000 820128175 205496825 675915371 546573373 1000000000000000000 973286590 757503508 519962188 859644062 1000000000000000000 340116570 27320929 126039818 71614295 1000000000000000000 288461026 94167637 218714245 117649201 1000000000000000000 888888461 444738137 102724716 736540486 1000000000000000000 363776473 115731139 278737637 47264014 1000000000000000000 500388622 175700514 488050313 206903691 1000000000000000000 149533718 15359260 14605732 30548783 1000000000000000000 243898572 166582621 129835119 31762290 1000000000000000000 23922528 21158099 1977111 22634875 1000000000000000000 348459950 106526875 85282250 147278482 1000000000000000000 182644552 131087521 171599721 16003204 1000000000000000000 613151846 297440469 260234156 539156653 1000000000000000000 517552115 211550559 109704629 178857161 1000000000000000000 946922592 876744173 23594129 833780363 1000000000000000000 112202736 70217588 102432426 74659481 1000000000000000000 265563248 77700819 66823116 246942354 1000000000000000000 2466120 1529049 2459675 1730712 1000000000000000000 102668350 65703240 71087807 38901253 1000000000000000000 175818113 78071108 84289491 42930579 1000000000000000000 202853789 97854351 192387073 199388958 1000000000000000000 113537745 61369906 105196782 79059106 1000000000000000000 484973920 451802566 480631587 422923507 1000000000000000000 467936284 119406790 320350329 89604901 1000000000000000000 503338476 118373485 418245586 159672134 1000000000000000000 891622880 534611107 801897024 432598021 1000000000000000000 514043881 286774158 69299897 348078413 1000000000000000000 483834511 31496794 55602713 477082373 1000000000000000000 756579068 309192178 497904718 275321029 1000000000000000000 905344043 39919105 235041772 857638607 1000000000000000000 660601421 552739498 364931726 257623985 1000000000000000000 409415694 393503477 317270005 86907555 1000000000000000000 13082777 3175281 8214861 13018012 1000000000000000000 615111848 562106280 44571751 101959906 1000000000000000000 437789050 171632589 108965626 186525935 1000000000000000000 969399510 223812505 701369408 238416042 1000000000000000000 719740407 84760556 624532521 144917541 1000000000000000000 780741067 625884381 33723126 284332448 1000000000000000000 186361618 16218366 21657270 141293843 1000000000000000000 1142173 678475 444205 10638 1000000000000000000 545127613 310562345 310395003 385069823 1000000000000000000 667468609 176604739 310047677 269441099 1000000000000000000 254041987 6774700 146752363 234304985 1000000000000000000 407827480 288135506 19971610 210416758 1000000000000000000 93071597 4522312 69548883 16548414 1000000000000000000 81926630 67508578 76234962 8767811 1000000000000000000 233613453 97284881 83152374 11303591 1000000000000000000 641495179 237020561 285937983 165742167 1000000000000000000 627128417 159029918 474753878 209897150 1000000000000000000 674994046 159137932 547199236 7946190 1000000000000000000 393434136 378250596 229681855 46444996 1000000000000000000 625964366 5037156 344944726 369468972 1000000000000000000 516833283 299989191 74262664 205830461 1000000000000000000 557501728 186487681 358304584 208464445 1000000000000000000 517297128 397102019 267256397 193897179 1000000000000000000 442335742 57224982 372717334 235788464 1000000000000000000 191569429 87765845 2213753 70716403 1000000000000000000 222311679 129500427 110026117 207486363 1000000000000000000 764270792 413023392 699745354 426891117 1000000000000000000 696483861 422326214 631659732 642348648 1000000000000000000 370896364 314978120 26289664 39898606 1000000000000000000 832346262 796625127 261322155 41153851 1000000000000000000 687519153 312133884 533507931 92666149 1000000000000000000 149016226 85162338 104177420 117912684 1000000000000000000 925022162 520936645 773950084 659453167 1000000000000000000 630874853 200168882 583633321 574578584 1000000000000000000 215124043 210066699 95525458 160015454 1000000000000000000 991974143 755829724 520300133 909185365 1000000000000000000 926159900 772876392 663564437 402677730 1000000000000000000 419379202 68635421 348437539 198055112 1000000000000000000 928558943 85420807 366997955 264251766 1000000000000000000 784689077 777146496 145432351 467155157 1000000000000000000 937586854 902005746 816509167 402264878 1000000000000000000 106505896 63551778 952844 87805588 1000000000000000000 636784131 40138364 528639184 342686367 1000000000000000000 210300582 46511592 58636492 60678406 1000000000000000000 676637056 592477931 14932239 157726149 1000000000000000000 502764718 871769 487308113 277829440 1000000000000000000 886553109 829318125 495221892 814797597 1000000000000000000 877921640 152850166 522685382 655545919 1000000000000000000 382805739 270450286 293323859 294713580 1000000000000000000 267641969 255369081 180785235 251870307 1000000000000000000 704636594 95195530 460035103 5430160 1000000000000000000 85839193 23444297 60816207 83504342 1000000000000000000 512640149 391997965 373159680 40551804 1000000000000000000 454770715 19196158 393385420 54741613 1000000000000000000 363535024 208451267 338249164 211249416 1000000000000000000 191841143 30110079 137357407 52606420 1000000000000000000 821201456 415584769 87239321 34000257 1000000000000000000 717055378 524429958 462494863 302088877 1000000000000000000 453009118 411173767 198608233 247258985 1000000000000000000 998085571 907077110 480485610 41432586 1000000000000000000 569639706 292528775 102596805 397940436 1000000000000000000 37430763 15601952 21507192 32196530 1000000000000000000 325707975 118888136 267477611 85239416 1000000000000000000 529046351 248735572 369845770 205792158 1000000000000000000 356963438 21482894 23565000 313848552 1000000000000000000 389491231 59347933 383618853 25783538 1000000000000000000 603974912 280038851 356942813 61323884 1000000000000000000 269314584 175319622 109943314 52959047 1000000000000000000 695677809 289605304 414676092 116321930 1000000000000000000 440423094 21894641 134545181 238559627 1000000000000000000 46306735 26609020 27490622 43550113 1000000000000000000 768357610 444478586 40405706 589300055 1000000000000000000 820878111 679514519 633000990 737096170 1000000000000000000 1601264 1303703 560396 886767 1000000000000000000 720698420 134466622 178125751 47987580 1000000000000000000 596828457 464421719 502495111 543345939 1000000000000000000 781752034 388019277 756026039 41570245 1000000000000000000 454172680 311601671 160830160 65575138 1000000000000000000 61737362 2087247 55681204 25382897 1000000000000000000 639466636 247230277 146623782 456558172 1000000000000000000 913703663 25849931 693357609 719194539 1000000000000000000 423893995 395160553 405385230 246936627 1000000000000000000 594321427 238040904 450944039 86886427 1000000000000000000 615321906 44741207 342267477 337505857 1000000000000000000 8900984 1446906 715896 929008 1000000000000000000 219451309 151750243 195604798 203211716 1000000000000000000 592520946 527995507 44503819 433321520 1000000000000000000 121865961 34932185 114561622 93589846 1000000000000000000 26920834 1563912 19287809 23099572 1000000000000000000 123980176 15561941 111198340 74131416 1000000000000000000 109029843 93313448 74982474 46523676 1000000000000000000 884555594 254780121 425484036 43991661 1000000000000000000 924079527 797599996 200115082 569494899 1000000000000000000 771153799 587319387 280065183 355522494 1000000000000000000 737385351 278261966 145453050 431561286 1000000000000000000 833745824 266628060 153020072 649348891 1000000000000000000 724713595 603975249 617700634 466869347 1000000000000000000 89700947 48088156 17668692 23955544 1000000000000000000 395235239 10275618 105357070 286312868 1000000000000000000 204639942 4309779 84698216 23588320 1000000000000000000 426786282 304473064 314681402 305147854 1000000000000000000 868486945 502737307 158581224 102233319 1000000000000000000 70569788 56907065 63736839 51618631 1000000000000000000 346087389 26118872 163056388 6549215 1000000000000000000 111015928 5165795 101533691 31025563 1000000000000000000 191784421 159580664 177920627 63883708 1000000000000000000 108215411 41468675 105786721 44523982 1000000000000000000 675168062 2914725 612940450 108370496 1000000000000000000 275069371 131920172 178080795 260615676 1000000000000000000 569007600 507806599 139683487 482437887 1000000000000000000 848554306 108872643 645429426 809450084 1000000000000000000 76657998 67034150 62115387 75830836 1000000000000000000 517376206 31408776 251155325 473083478 1000000000000000000 352353147 202648355 10801070 225130825 1000000000000000000 136721273 101364176 74949256 69893250 1000000000000000000 161808919 123149482 41191527 152384318 1000000000000000000 872219571 414336789 765999633 632322157 1000000000000000000 448811893 200925938 118092524 154906273 1000000000000000000 798169317 527706427 426356497 31080683 1000000000000000000 956087064 694463187 432405114 917056296 1000000000000000000 599349162 420435830 400902549 500680141 1000000000000000000 736101877 218313076 169303920 645363684 1000000000000000000 726060709 326543351 388227561 359907667 1000000000000000000 590622824 365808817 245873878 167947355 1000000000000000000 724890099 479843905 320044427 286004352 1000000000000000000 231886673 130622723 165988600 75563452 1000000000000000000 224044749 176894602 162062265 76338697 1000000000000000000 217698974 75945121 193337044 80639362 1000000000000000000 584033014 272959877 317694254 537234012 1000000000000000000 68412361 62737664 15815033 55358473 1000000000000000000 641476851 273397398 265613518 105511034 1000000000000000000 394589466 390961347 212511359 51386589 1000000000000000000 23906041 15500414 11234979 10798557 1000000000000000000 425574500 219410345 223936745 4973282 1000000000000000000 366589036 24726168 280796820 143979633 1000000000000000000 279669419 210619258 133269069 131000939 1000000000000000000 379099168 144795233 142683052 85253512 1000000000000000000 288729865 4424964 244281446 23133535 1000000000000000000 703738333 575088688 26126670 653462770 1000000000000000000 87707601 49279200 65764211 19548652 1000000000000000000 224170615 119901803 37504396 25010153 1000000000000000000 601122429 188077530 62292651 337480907 1000000000000000000 948063533 888208804 682371085 798589889 1000000000000000000 802743741 432778508 333589650 750982349 1000000000000000000 896036196 425419437 67770254 584639370 1000000000000000000 816544614 212199007 780894526 599357486 1000000000000000000 23977048 11138580 11841535 6232570 1000000000000000000 993852632 888843634 727174869 130711351 1000000000000000000 149899109 87229705 32823132 62084416 1000000000000000000 739166066 424646070 404256371 380688423 1000000000000000000 534704536 308973924 102646744 128773844 1000000000000000000 159886861 148339368 120428846 67945956 1000000000000000000 778308658 310718005 100228733 292250937 1000000000000000000 469473747 207386398 443066286 464460888 1000000000000000000 845181443 197411406 343668376 175442413 1000000000000000000 777237680 759961268 538015698 449290639 1000000000000000000 331691185 246264491 68012202 225843587 1000000000000000000 708734680 218581336 403603671 197451069 1000000000000000000 922358950 337962499 39569660 515228882 1000000000000000000 567163101 414853964 191680712 265029106 1000000000000000000 630635457 187883342 544478194 581704254 1000000000000000000 468784686 98142479 190842049 196943888 1000000000000000000 74442596 58734294 62349347 36140771 1000000000000000000 414105110 149385096 380264062 132842462 1000000000000000000 938583992 911158845 45991631 130566861 1000000000000000000 415980940 48645924 133750879 401311646 1000000000000000000 487670579 339092426 46930420 371255763 1000000000000000000 530551629 294412305 1157922 66509941 1000000000000000000 482443227 124901832 480055949 21163773 1000000000000000000 207869762 13329591 100791022 164459764 1000000000000000000 785841576 28642268 157384801 67921054 1000000000000000000 300484451 131522862 224790733 10569466 1000000000000000000 90811981 14535772 73870601 70649292 1000000000000000000 690810415 412130810 173847440 50537776 1000000000000000000 267812754 195036326 71186237 258687650 1000000000000000000 390400048 18531930 198101439 128925914 1000000000000000000 332177122 249023285 233559637 135916026 1000000000000000000 891342807 708686318 558326621 341670763 1000000000000000000 746007154 691982474 195957110 496244228 1000000000000000000 820506903 60710476 245093439 22096758 1000000000000000000 701074404 375887602 27405284 580818810 1000000000000000000 442299693 42552495 429342475 121815280 1000000000000000000 713349628 369835821 96163226 524155456 1000000000000000000 204319734 114048465 153293800 7982101 1000000000000000000 373869630 231421311 140558939 20113182 1000000000000000000 259875157 231001444 29178072 217229986 1000000000000000000 177461232 52065890 31339232 48575690 1000000000000000000 351702907 50676734 240940417 156128571 1000000000000000000 661261301 611054926 91976365 141305352 1000000000000000000 497439886 393930506 178340684 166587537 1000000000000000000 739408953 346443154 650986089 478505811 1000000000000000000 693314443 182773033 47283454 586038034 1000000000000000000 801909423 38124056 291663387 588162750 1000000000000000000 572145528 280865198 336924560 439837738 1000000000000000000 332062522 128393676 303873769 29033472 1000000000000000000 640809694 7295224 140042784 581085338 1000000000000000000 243393724 226498680 95750962 155083512 1000000000000000000 279277243 224118423 151815848 231259398 1000000000000000000 218085304 150354532 5472313 213475385 1000000000000000000 666724267 665932981 493229993 423682296 1000000000000000000 753578619 136380138 268801776 253431401 1000000000000000000 318740280 262391836 239092942 66723907 1000000000000000000 403959330 146159761 345030170 108068084 1000000000000000000 862904228 375849937 368691881 485239411 1000000000000000000 117416258 7905054 57954393 24552918 1000000000000000000 648097665 423287885 384860542 525061911 1000000000000000000 12727740 11703057 12011961 5609685 1000000000000000000 838073032 379307105 253170619 83307706 1000000000000000000 909639933 790113614 350455535 719348109 1000000000000000000 247741919 14094432 208331385 109866488 1000000000000000000 308916930 94462500 67781960 85507412 1000000000000000000 437538014 433437517 305699486 131062924 1000000000000000000 584905807 343733656 404441754 331233624 1000000000000000000 264534888 186573185 158595395 6582128 1000000000000000000 12391646 8887203 1076507 9006120 1000000000000000000 458441314 427012199 369143260 377590307 1000000000000000000 152842379 100528493 92798758 90085337 1000000000000000000 232484050 192656604 194658144 71589360 1000000000000000000 428336882 177649379 403803979 94349882 1000000000000000000 526495297 356070852 192610203 291197223 1000000000000000000 115339234 99137517 39115847 23522113 1000000000000000000 611363198 43834388 219742531 223347012 1000000000000000000 610701022 608869280 225717779 588784150 1000000000000000000 687739202 368985540 222564999 128409204 1000000000000000000 663410050 14835401 657005561 621251079 1000000000000000000 839188496 705399802 653059384 506552756 1000000000000000000 110502233 27713280 76874226 46739676 1000000000000000000 194483172 69529664 140111521 88922429 1000000000000000000 364789049 233055039 198440515 111713920 1000000000000000000 562489324 486533265 196096235 101234035 1000000000000000000 645267360 194436019 463608750 516203563 1000000000000000000 397012778 228035100 232017158 330287633 1000000000000000000 203693673 46166690 138941396 64477108 1000000000000000000 234111515 97587068 202541622 175300585 1000000000000000000 24596558 6428846 8727409 24551329 1000000000000000000 798480060 418463514 758330295 263425897 1000000000000000000 710384698 403548606 580089045 33308910 1000000000000000000 614876223 183271278 553729851 352708035 1000000000000000000 69058884 49430628 45835894 28041936 1000000000000000000 218735077 46114227 116928563 16965254 1000000000000000000 587513537 561918265 578631102 172888545 1000000000000000000 393248857 337219028 154445320 36084837 1000000000000000000 336719990 299704318 252950132 268213039 1000000000000000000 671148304 23273419 71957865 201790037 1000000000000000000 160598534 60396268 64503180 95511036 1000000000000000000 993634201 116139791 6888741 36321983 1000000000000000000 799033810 650904727 424064064 757708706 1000000000000000000 941488170 657791669 896499041 452935808 1000000000000000000 391761562 268935046 231089735 326098709 1000000000000000000 80941466 13691897 44168064 55105265 1000000000000000000 694301476 64571448 191091094 319247939 1000000000000000000 807590954 640613173 804653073 233465654 1000000000000000000 440250439 309749950 129790 288521331 1000000000000000000 836058730 132850913 17395628 739134733 1000000000000000000 869034484 776044534 209780954 653396359 1000000000000000000 590516007 420461680 126220833 210249503 1000000000000000000 534153955 176758229 412589423 284104738 1000000000000000000 966249581 74735398 704126158 127882826 1000000000000000000 439804052 429157530 342536609 109558297 1000000000000000000 431225253 387725570 372863262 387393540 1000000000000000000 760315861 499438653 688060892 232847298 1000000000000000000 574803741 363389347 378996940 151748652 1000000000000000000 165763543 105230789 65664268 86152758 1000000000000000000 898113332 55944218 670095193 856772687 1000000000000000000 594833006 30386874 211749286 334502092 1000000000000000000 26806939 1651070 23857316 16951020 1000000000000000000 529626989 222743357 257798475 70495178 1000000000000000000 388013138 71339436 348512152 368506135 1000000000000000000 334128315 796425 331893096 321516450 1000000000000000000 281723513 173589489 51228456 257168796 1000000000000000000 321219979 276268815 281912286 17831737 1000000000000000000 699210951 414677771 192928192 453889788 1000000000000000000 24512957 24079163 11061152 10996198 1000000000000000000 966850549 127515610 654784526 741808902 1000000000000000000 661272835 151044266 489535003 271706702 1000000000000000000 387105553 142863659 213188763 37728802 1000000000000000000 15204194 8053847 9585326 11722161 1000000000000000000 758519685 458648029 308493972 246017037 1000000000000000000 875625828 310084606 224944446 196155840 1000000000000000000 691745598 515247135 419609864 230665282 1000000000000000000 208803734 166166892 76328940 97482038 1000000000000000000 43778051 8193088 37600564 26872800 1000000000000000000 1444618 211495 1034115 1238413 1000000000000000000 121238131 105250205 75862316 117714233 1000000000000000000 724361687 438164670 464216667 459854133 1000000000000000000 241060545 73741310 209488642 100629634 1000000000000000000 502518779 297400587 318346404 378222124 1000000000000000000 210346710 80811246 6814924 115404154 1000000000000000000 337750902 165716780 277986412 210306010 1000000000000000000 948376238 857207223 788037883 230685963 1000000000000000000 662015542 485915526 408811623 519336413 1000000000000000000 408095170 88557233 78212361 90103957 1000000000000000000 946432982 466249925 56356760 82772705 1000000000000000000 719485234 87372143 430115681 153621206 1000000000000000000 696103353 625633829 576251117 79007579 1000000000000000000 938820307 586664076 787333633 59744780 1000000000000000000 289551198 279870845 176566896 199125645 1000000000000000000 223754026 25161692 98651684 130896192 1000000000000000000 632307894 364199074 404886111 170154202 1000000000000000000 562034000 553025835 92004974 105696254 1000000000000000000 648037451 270372840 382701077 232596832 1000000000000000000 63524181 19968602 20780290 47354100 1000000000000000000 44229501 28973752 27340569 19708615 1000000000000000000 913292976 532449198 147986552 753413061 1000000000000000000 459633870 346625010 117020908 64758420 1000000000000000000 830538552 540439740 635809230 779209660 1000000000000000000 515520802 57606899 77087734 184324550 1000000000000000000 722006533 340185170 212298680 378288406 1000000000000000000 7998413 5437688 3904682 3262275 1000000000000000000 396438669 312052358 179880308 396062770 1000000000000000000 377942536 18396766 205527049 118622344 1000000000000000000 83386396 13661543 9288325 43757430 1000000000000000000 153721947 47910515 54843515 25931012 1000000000000000000 806940077 537723057 763710298 589278697 1000000000000000000 573666228 270491550 175773752 250020496 1000000000000000000 935004702 552382504 531292228 61410518 1000000000000000000 695593716 662794392 276269766 210319207 1000000000000000000 336178366 170774239 67836812 265876558 1000000000000000000 666360207 56345907 320146288 193932649 1000000000000000000 833836445 679514325 420549021 137101949 1000000000000000000 558026181 217371939 292925510 176940396 1000000000000000000 582619408 102655431 365958334 60679025 1000000000000000000 42995591 19610222 16689039 22290149 1000000000000000000 357948177 99743651 262274625 111001301 1000000000000000000 921954321 12569494 652066450 220779686 1000000000000000000 114812202 16386790 56261469 86940810 1000000000000000000 245109490 22960848 119485754 74815556 1000000000000000000 226387943 43464214 166653359 179117492 1000000000000000000 244963409 80227284 176243763 115269767 1000000000000000000 950605216 75053937 406472720 561200567 1000000000000000000 812508977 577685414 248670141 312265894 1000000000000000000 20147997 10457825 5698118 1464013 1000000000000000000 983020304 264715656 556783990 733322759 1000000000000000000 845700400 747544533 584304912 771581902 1000000000000000000 36432826 14320005 21787397 9626085 1000000000000000000 196184578 161713247 93519326 136563967 1000000000000000000 601301875 525044924 211942537 272079618 1000000000000000000 784538484 118039326 627713443 340525752 1000000000000000000 672169651 59671727 134861708 432964403 1000000000000000000 326849962 108552767 174536655 73640903 1000000000000000000 894185660 841875528 762657739 250266126 1000000000000000000 767257191 387973841 159363624 714373667 1000000000000000000 974379233 280178435 758339063 416711780 1000000000000000000 214664791 49185332 58064173 154558621 1000000000000000000 654861396 189935333 118093544 470043047 1000000000000000000 34902315 175911 10614181 1544366 1000000000000000000 666184096 69560409 426060777 282864330 1000000000000000000 732614672 353352983 600752156 707962172 1000000000000000000 193712385 108754772 154021117 164233621 1000000000000000000 938775361 416278922 348920493 436767930 1000000000000000000 557567091 459121655 225442369 343985915 1000000000000000000 986802713 708774168 136107612 828008760 1000000000000000000 638889268 344912237 443485542 293726885 1000000000000000000 652150085 639363774 226665912 210796661 1000000000000000000 906838634 24253386 242577582 168777672 1000000000000000000 160024688 50519386 78213424 59749234 1000000000000000000 588311007 193682880 487585396 549124872 1000000000000000000 135386312 17408812 63368959 58325385 1000000000000000000 185291653 64164400 114282716 162343513 1000000000000000000 433283842 335112804 120282395 308429866 1000000000000000000 73269121 68918317 33983717 40987155 1000000000000000000 298903698 114154222 94793141 75472666 1000000000000000000 615927048 378627558 193454807 556706469 1000000000000000000 267985533 217516398 70028246 227142603 1000000000000000000 81783850 38969637 51352957 30439619 1000000000000000000 513622737 386198296 231955593 48027367 1000000000000000000 22140251 9196058 4235542 10489067 1000000000000000000 760122129 419974861 547891744 230968555 1000000000000000000 558354023 407421833 277267377 325484255 1000000000000000000 815130344 201638005 128334805 155220048 1000000000000000000 10046682 6481221 9086946 4790295 1000000000000000000 841873000 346036209 140909796 408588170 1000000000000000000 212981171 28560779 149459936 86741680 1000000000000000000 601411652 240161445 165952659 519194713 1000000000000000000 141592857 99704618 101617655 114543108 1000000000000000000 539048643 522752227 13982196 410461190 1000000000000000000 613341385 493279421 357051282 344213703 1000000000000000000 821931038 782424922 544469650 22628413 1000000000000000000 667255229 426911339 171439681 147275342 1000000000000000000 68522529 64886997 36203663 8540897 1000000000000000000 555118559 117884876 133506545 101515175 1000000000000000000 614834411 133626933 103534628 475465644 1000000000000000000 130179214 55790751 42486501 43379953 1000000000000000000 377998996 150167921 352995116 240339464 1000000000000000000 205400634 84142316 188066797 29080499 1000000000000000000 783340356 742921263 69033869 125986161 1000000000000000000 575350920 268471110 263608574 335063740 1000000000000000000 25656847 20320271 10349336 11607437 1000000000000000000 919223856 846834067 397500686 710872273 1000000000000000000 907773132 596515403 384827141 572432049 1000000000000000000 727683046 262337855 142018241 707387068 1000000000000000000 543550620 84914002 302989006 111337942 1000000000000000000 553538882 128873146 16180787 56523115 1000000000000000000 345409531 324457060 308878380 46012308 1000000000000000000 691036263 214154194 632291005 105217134 1000000000000000000 50840963 33970658 43034168 17200998 1000000000000000000 40012122 29728921 31009583 30498489 1000000000000000000 225705967 105941403 107850467 87630650 1000000000000000000 442234925 77347874 237579024 366087836 1000000000000000000 579276852 278935747 303945373 271686687 1000000000000000000 867859675 597669222 591877483 721722714 1000000000000000000 270270352 251031151 172255210 172295384 1000000000000000000 988937227 964363934 801745804 19244985 1000000000000000000 638534200 21045758 317588931 83659793 1000000000000000000 182709575 44510605 175216695 53574613 1000000000000000000 296466124 230911410 244816747 235336899 1000000000000000000 611517619 574050534 483601693 468288862 1000000000000000000 431580559 401616227 79435770 156110660 1000000000000000000 103840660 56230829 96308996 43408793 1000000000000000000 78575942 13353580 36677647 3628190 1000000000000000000 410767267 129897818 114660851 251831056 1000000000000000000 706584842 104247212 160551740 646849013 1000000000000000000 52436391 46212065 49038187 30402541 1000000000000000000 726105093 73672475 320422038 230046173 1000000000000000000 440562120 115192477 403932993 114296413 1000000000000000000 779769301 748974628 290289287 496770429 1000000000000000000 534360881 437898568 307807876 488989791 1000000000000000000 330665304 47664392 225850257 118289283 1000000000000000000 198378049 38333917 84386959 169182640 1000000000000000000 42758156 8812301 27491322 26596412 1000000000000000000 984276860 533977350 827836173 476125912 1000000000000000000 656863782 26769868 58613865 304770686 1000000000000000000 447003876 237097565 386999126 246248384 1000000000000000000 760213951 500702564 582569340 489095206 1000000000000000000 866157871 402864275 776820135 102162508 1000000000000000000 119396774 16338843 32013676 45935374 1000000000000000000 121005669 56489664 106761739 37261404 1000000000000000000 449444558 426977481 232118039 204264930 1000000000000000000 171941981 156586849 94472248 34030071 1000000000000000000 689050249 668173490 57745943 458674320 1000000000000000000 13106583 743976 9561883 3274420 1000000000000000000 956115918 480648926 111779435 820643437 1000000000000000000 844662165 479689530 544439041 646512446 1000000000000000000 219329343 61592861 55439435 146168844 1000000000000000000 313419752 172530829 119070468 264771949 1000000000000000000 962432458 460752918 912942494 216532772 1000000000000000000 22525714 14656405 13888815 21419067 1000000000000000000 120555042 1135763 55601775 70343797 1000000000000000000 648708201 469788297 454974106 310510480 1000000000000000000 327549476 300999035 11688086 170114937 1000000000000000000 747712563 182702424 148121881 454346668 1000000000000000000 108227977 2651024 60993555 9984588 1000000000000000000 80466509 39481175 52953137 49122747 1000000000000000000 186421368 993182 43075415 115118505 1000000000000000000 949087668 114839556 652580331 195501794 1000000000000000000 508251535 17544870 48742028 317031640 1000000000000000000 868473921 263478208 790056192 644368695 1000000000000000000 461687050 78706375 196895771 62404373 1000000000000000000 923178536 11700847 396395777 681956722 1000000000000000000 786768408 82521952 355073076 135936809 1000000000000000000 1625287 876506 151127 144659 1000000000000000000 438087894 36088684 296859258 13326795 1000000000000000000 437130441 181078849 421797928 382372625 1000000000000000000 697380202 132049723 448778145 378139394 1000000000000000000 125365645 79673113 27141044 40823252 1000000000000000000 537350782 446113558 326838360 169544235 1000000000000000000 924743441 186826127 582528883 178878213 1000000000000000000 123569610 2974664 101528212 68462545 1000000000000000000 525420553 466068553 476764029 51639386 1000000000000000000 194255939 44289631 103735984 129454138 1000000000000000000 656574090 215282377 462493632 573726269 1000000000000000000 237588978 209647458 14521437 58909773 1000000000000000000 781225901 623324663 76314334 401260207 1000000000000000000 111337060 75628825 100042625 56426988 1000000000000000000 149441919 53115135 33075926 20952405 1000000000000000000 724486580 248206328 686607793 698311440 1000000000000000000 872342103 739921131 367291129 589443754 1000000000000000000 536618371 154211808 516787023 78121009 1000000000000000000 118907080 82099624 100673144 17156266 1000000000000000000 520727257 490121078 217067390 42519876 1000000000000000000 404128769 351887368 174775573 293349360 1000000000000000000 288851777 197285199 120105635 236834211 1000000000000000000 892854238 517676042 594766210 223417406 1000000000000000000 975987148 289723672 949421038 642722716 1000000000000000000 108236572 71363728 97195018 75125801 1000000000000000000 395725532 277368565 328917747 70452157 1000000000000000000 438768090 216438587 6366615 87370548 1000000000000000000 752311625 85854633 210565037 358585006 1000000000000000000 190965790 108035321 19831406 4590703 1000000000000000000 581294351 409915068 531363186 126782621 1000000000000000000 559693185 36640776 303605898 132283407 1000000000000000000 196774306 112243700 157826980 86030829 1000000000000000000 974066150 710282481 942161894 854207149 1000000000000000000 536053509 434338787 312115704 455834085 1000000000000000000 437373599 394122649 122241525 194947247 1000000000000000000 123829088 66411071 95440735 116600539 1000000000000000000 539699064 460031126 95378155 129283004 1000000000000000000 944709765 302156385 433617684 11469377 1000000000000000000 297997266 101788199 295814417 204483923 1000000000000000000 476981307 92070957 396900727 229290483 1000000000000000000 156054414 86849043 123273504 97050128 1000000000000000000 784809535 320461270 425683722 308780357 1000000000000000000 121658143 47848287 63836056 26455856 1000000000000000000 814464669 800633628 780574001 527983754 1000000000000000000 322339838 235844212 66137517 79322711 1000000000000000000 691407940 496616016 384984834 333800905 1000000000000000000 851785542 503191930 425341662 785689016 1000000000000000000 836482393 587138255 352557309 499784782 1000000000000000000 527951454 436346565 225556231 124407468 1000000000000000000 327150670 13636411 274158337 20034757 1000000000000000000 665915422 25089137 150287345 61717083 1000000000000000000 339765484 121062156 318544023 314240454 1000000000000000000 910905614 80548213 414049993 389930001 1000000000000000000 359482326 258868671 252431343 203655080 1000000000000000000 511985279 89877868 101325660 89516666 1000000000000000000 563236879 506247923 200193694 381086077 1000000000000000000 371591706 358764799 369905043 79522181 1000000000000000000 666036403 405288509 265407755 63362796 1000000000000000000 278281475 31853131 202996800 34617633 1000000000000000000 750122649 694751713 225579914 556346770 1000000000000000000 508481466 74813909 8613067 35843342 1000000000000000000 769789236 757097541 571515173 90370839 1000000000000000000 906122026 573564191 57031467 243728864 1000000000000000000 841450010 185915924 597286053 813127879 1000000000000000000 383976515 188991639 362818347 346086206 1000000000000000000 832611106 176351671 55434204 474180000 1000000000000000000 474902071 96337501 45317866 62932915 1000000000000000000 83597714 48342834 1922477 7305595 1000000000000000000 752473995 466152782 693077326 6094430 1000000000000000000 220695609 30520234 101179077 56949562 1000000000000000000 172755095 96553578 98716049 59002376 1000000000000000000 325099621 306097684 67618110 93125203 1000000000000000000 169964779 54482032 109780767 83631527 1000000000000000000 116599435 11830401 3256721 2949479 1000000000000000000 63954994 16689321 15329502 17645462 1000000000000000000 436668721 177021369 428559996 97116685 1000000000000000000 145587644 138201603 120309665 55556484 1000000000000000000 555994084 499289275 97288650 552607398 1000000000000000000 187247535 15909711 31000925 136719497 1000000000000000000 640063144 265588760 587082056 454498128 1000000000000000000 856175227 840014508 30549576 741600197 1000000000000000000 994359231 56627747 792936440 314324883 1000000000000000000 845065940 660170954 595379267 705589483 1000000000000000000 525466363 420251294 323864663 64736225 1000000000000000000 402867948 302731001 8857539 115695173 1000000000000000000 643682319 297788148 290463384 10868405 1000000000000000000 304369078 254288963 134506779 245612043 1000000000000000000 872808042 283811473 220522867 426520902 1000000000000000000 609691567 94561741 186002178 119709471 1000000000000000000 381999421 85563544 256114254 245220818 1000000000000000000 256426898 70775129 171491488 106433634 1000000000000000000 528764852 223581469 207389246 322928523 1000000000000000000 830544496 187132562 510430527 663039241 1000000000000000000 823681604 542426498 593637723 34576557 1000000000000000000 863850310 258762833 554854055 493936545 1000000000000000000 222126153 9878117 85714526 138319890 1000000000000000000 690590022 650352169 274508992 361875992 1000000000000000000 155808522 126556523 98274559 27712433 1000000000000000000 426194711 179350595 330253021 97123049 1000000000000000000 642529703 480211548 259444805 357395055 1000000000000000000 250371040 34034239 59405544 11686268 1000000000000000000 789993196 637215344 385493346 519475548 1000000000000000000 722854541 452168132 344390165 640670106 1000000000000000000 839806787 815910491 46213228 712325445 1000000000000000000 458118730 245551117 413372722 69073315 1000000000000000000 223062325 31307856 143574455 83419276 1000000000000000000 682744220 388899217 294859709 241747642 1000000000000000000 910270851 299025965 481477015 810049627 1000000000000000000 371780065 203446732 328638663 130294128 1000000000000000000 893056965 258392689 368703829 703075361 1000000000000000000 722140721 142117633 559549512 600495998 1000000000000000000 720323004 509547514 44856334 280343092 1000000000000000000 521438263 95032398 375993403 163488610 1000000000000000000 49140786 14122316 14506732 20708201 1000000000000000000 608507845 30100337 96976000 593940908 1000000000000000000 186916833 23240041 169984957 26241537 1000000000000000000 115352567 36820431 102958719 109683987 1000000000000000000 540382854 156746701 385931827 141607680 1000000000000000000 847861170 108835427 570271419 99322040 1000000000000000000 428847626 360827820 164296013 29295687 1000000000000000000 532489945 51566044 232876399 245734458 1000000000000000000 77138366 73362190 34279704 71357282 1000000000000000000 382997271 76871818 226630080 184436410 1000000000000000000 653068121 360180209 307147743 513817423 1000000000000000000 171530206 31982364 8135 63005620 1000000000000000000 976187035 486838901 67036737 917110948 1000000000000000000 548117163 452746164 468054544 151092174 1000000000000000000 208497954 127073803 148515246 79038463 1000000000000000000 808064512 125633313 666676830 371566213 1000000000000000000 726309059 567249645 600315897 612928841 1000000000000000000 51021464 33035298 552318 30799302 1000000000000000000 52071472 29755760 4643869 31870276 1000000000000000000 81251118 44622451 60161583 31373982 1000000000000000000 245943471 140053500 15359117 138940849 1000000000000000000 486497606 472740856 30003019 200796061 1000000000000000000 887481981 89660811 715347564 427019385 1000000000000000000 871341743 566064169 11608968 391895956 1000000000000000000 201677004 177554347 105027506 128080357 1000000000000000000 751349262 110536202 462126707 743554260 1000000000000000000 566452669 223380702 331905019 213172745 1000000000000000000 37496030 24019014 18707594 19174458 1000000000000000000 62558308 20882161 16653850 44135035 1000000000000000000 603058582 189586252 236774284 36813259 1000000000000000000 540066476 248907609 535932475 183364812 1000000000000000000 985942886 681833130 596715951 1769249 1000000000000000000 974006390 64713835 601201919 762171044 1000000000000000000 600876498 122754247 404223337 140579769 1000000000000000000 178479358 35041623 158351325 150285312 1000000000000000000 189431889 186294490 122094615 107081441 1000000000000000000 33924858 9974421 20315674 27462271 1000000000000000000 935074144 418027466 834527587 266591109 1000000000000000000 185294128 62099145 97776220 69242072 1000000000000000000 301520638 127024340 79459850 11429531 1000000000000000000 453181488 150077979 241747962 76518574 1000000000000000000 940173696 300965627 129817915 548493099 1000000000000000000 796220459 452970484 223817320 514187653 1000000000000000000 224697524 163797805 4334338 165407955 1000000000000000000 463587891 334629090 181030285 389638922 1000000000000000000 25116508 562527 2764081 388739 1000000000000000000 933723869 927987563 746801576 274676358 1000000000000000000 275154480 270322017 67568193 39241617 1000000000000000000 231291982 95921768 170902786 122004727 1000000000000000000 62096499 43117389 17054271 36201249 1000000000000000000 837616821 371554291 449927385 313335232 1000000000000000000 228972639 22527006 195330678 159727094 1000000000000000000 502591774 449105498 173755809 95459872 1000000000000000000 988888154 213551138 124322728 357629440 1000000000000000000 181049664 135372500 153308632 27402798 1000000000000000000 488531482 356154959 56655498 317171700 1000000000000000000 955947328 75924212 269456339 89010680 1000000000000000000 884283873 464541910 673335197 350538929 1000000000000000000 599374595 358325631 510331750 430774234 1000000000000000000 353099702 170429385 263995398 260757421 1000000000000000000 969575234 160516972 711651521 362370296 1000000000000000000 31711754 30416124 21031119 3104515 1000000000000000000 38872376 38472079 33025713 17384504 1000000000000000000 716291611 446094804 483228786 537893214 1000000000000000000 590247210 73670683 534071584 168458715 1000000000000000000 749228015 602321255 24894823 62839283 1000000000000000000 893169220 44098539 607128499 699587192 1000000000000000000 316422909 264453231 274053636 273993793 1000000000000000000 77370990 37027397 64878966 51706529 1000000000000000000 790197086 254352704 582226205 70029719 1000000000000000000 604025404 122525625 59440294 557495125 1000000000000000000 459176975 15016948 133091494 208083919 1000000000000000000 720473782 698772004 706671892 521062836 1000000000000000000 177361429 43802231 177216923 135174089 1000000000000000000 542274663 59446660 58843652 401058208 1000000000000000000 195696540 118392494 62418594 186030356 1000000000000000000 79919689 6757214 19760101 27527930 1000000000000000000 86682890 43976209 6854868 82370404 1000000000000000000 391787570 168494472 316991351 166104489 1000000000000000000 849393044 792529621 511874307 326317648 1000000000000000000 984995581 778330741 456936099 539695950 1000000000000000000 719260167 430123372 328868484 155626261 1000000000000000000 516916395 508921291 1768649 50517206 1000000000000000000 902409420 349309014 684020382 538642519 1000000000000000000 98149883 24907418 49922171 25036480 1000000000000000000 373364128 47216123 46298922 168139038 1000000000000000000 598520368 193297874 295486225 24558081 1000000000000000000 329117868 29606630 115945503 263126410 1000000000000000000 924008401 719945181 326868665 750502870 1000000000000000000 209581932 185742838 173868490 162498126 1000000000000000000 654408447 640896355 644389908 592424428 1000000000000000000 333872696 312258257 276761071 193752428 1000000000000000000 64300268 63101939 49744583 58846772 1000000000000000000 729567788 535357615 317673392 15878807 1000000000000000000 623964447 249858597 260357657 459553162 1000000000000000000 976864430 342180018 180613541 690661158 1000000000000000000 962162547 421337100 486030698 396960332 1000000000000000000 5022215 1385692 4144182 650389 1000000000000000000 234833665 221505367 128814705 222490714 1000000000000000000 249673949 168892394 141621369 223784155 1000000000000000000 420063809 305850952 93595641 203300855 1000000000000000000 695880426 596231854 518367113 422106974 1000000000000000000 101874318 94450548 33444183 72056018 1000000000000000000 999432292 396175298 703783400 256665276 1000000000000000000 155843366 125191236 47174682 35664173 1000000000000000000 358336853 118205184 206105991 138777287 1000000000000000000 837411337 444768743 388756197 295105847 1000000000000000000 281652367 60487974 39805291 223391337 1000000000000000000 151695594 122132790 3203016 96312204 1000000000000000000 115867250 84284658 97183377 108619094 1000000000000000000 443447310 213981904 253167654 290094365 1000000000000000000 522170713 498846582 176307878 163764963 1000000000000000000 358108713 7199980 124348925 183433166 1000000000000000000 788281401 603526063 453791225 671617833 1000000000000000000 406831718 62808946 296092303 133477665 1000000000000000000 480876330 392571420 300577038 346696357 1000000000000000000 633516916 454306844 346886079 155042087 1000000000000000000 631593741 402418669 429447971 466639159 1000000000000000000 753599176 661848411 23501101 97141840 1000000000000000000 497684057 252886627 90105957 224342470 1000000000000000000 72677198 64223277 3004217 25408678 1000000000000000000 208254376 54962206 139222678 135689193 1000000000000000000 276855103 205552311 74183854 63748476 1000000000000000000 399078058 215379692 95542449 9154275 1000000000000000000 673958878 92568898 232265739 222660057 1000000000000000000 846326549 694617364 375204090 607989754 1000000000000000000 986094801 838659802 11752875 557382608 1000000000000000000 60015022 9536594 1724623 41640491 1000000000000000000 811372602 373807060 252363857 307536038 1000000000000000000 951681325 169245471 142606403 704377107 1000000000000000000 682922998 183390005 292477901 145111801 1000000000000000000 587745210 112547835 497520592 494338265 1000000000000000000 406952452 268382651 355235084 211837958 1000000000000000000 637744900 394714861 115284903 365508347 1000000000000000000 705334442 418204525 25585763 304531227 1000000000000000000 771955961 487610889 289104658 746405613 1000000000000000000 130422336 30599027 119346717 75150683 1000000000000000000 225887254 177834240 5170744 24466793 1000000000000000000 616823737 418267544 437931616 520610666 1000000000000000000 487048576 411480197 316496833 209340254 1000000000000000000 641329776 339086039 260680887 147647999 1000000000000000000 405477716 303636580 392406552 396907504 1000000000000000000 243925448 47054330 79802888 10562905 1000000000000000000 28820111 13626695 15724384 17538913 1000000000000000000 463477357 379631050 98023046 408318737 1000000000000000000 540857705 338422766 339973278 307594865 1000000000000000000 309041775 149916016 143038676 66626068 1000000000000000000 219161984 156179 115832627 158736915 1000000000000000000 804347566 545077060 476750230 194914345 1000000000000000000 885166031 360279762 234116809 343891915 1000000000000000000 360306147 290533215 212842101 186950252 1000000000000000000 164640308 75166828 63330262 91516520 1000000000000000000 415188687 265017791 130116199 163485765 1000000000000000000 694963068 641374382 465407831 324139705 1000000000000000000 601898430 278057931 521002235 377400235 1000000000000000000 50239467 18595111 26388392 44489335 1000000000000000000 417122243 164242466 16255704 123607490 1000000000000000000 858198863 235636667 792077415 192018571 1000000000000000000 260086982 199672646 180672919 175656331 1000000000000000000 170972643 6863533 26641641 1747113 1000000000000000000 512571111 322480632 132410830 51131121 1000000000000000000 298752628 296822465 159191467 91329040 1000000000000000000 268917100 247901478 122036207 107895776 1000000000000000000 618113065 542409358 332201906 22142680 1000000000000000000 751576442 651236287 535580235 85419412 1000000000000000000 148085842 65546803 38842592 135025193 1000000000000000000 962215462 269683070 816523780 495757294 1000000000000000000 91374114 7169004 57110159 88731257 1000000000000000000 574286530 239614395 429013195 281780401 1000000000000000000 615318901 93628265 440015931 455921457 1000000000000000000 394652369 53251776 20332559 251707715 1000000000000000000 85186950 80304299 655615 71224571 1000000000000000000 514303195 187823239 472084453 228499773 1000000000000000000 973963040 693999249 879039513 810174857 1000000000000000000 971514640 707834430 183175471 622174755 1000000000000000000 420926470 99939228 229569435 102063365 1000000000000000000 788938848 260553804 618359569 555442280 1000000000000000000 910910871 187260075 170371265 455739859 1000000000000000000 78106127 65284142 25900129 74635610 1000000000000000000 620643900 77755097 384441076 100229229 1000000000000000000 156411786 55636338 29395256 35485386 1000000000000000000 988902210 963028168 276550804 483772566 1000000000000000000 532190974 132377294 210389974 257764113 1000000000000000000 345157167 175669899 60611399 317127622 1000000000000000000 590933694 398871960 196782148 352894917 1000000000000000000 95363984 77523090 61341275 39064965 1000000000000000000 567177371 87387699 442486872 3009935 1000000000000000000 800420752 662004383 247224120 63704197 1000000000000000000 928066079 22405714 34448734 902931498 1000000000000000000 38495659 4108322 27803144 14102709 1000000000000000000 966014241 537319777 151536266 781027030 1000000000000000000 211022689 50483268 59644498 193210584 1000000000000000000 175920564 121033283 175339889 671460 1000000000000000000 231450105 43187480 73999982 116185682 1000000000000000000 498177562 292603124 138220923 274563754 1000000000000000000 768433069 325492133 426525163 106265241 1000000000000000000 310116854 88563051 22891807 58770072 1000000000000000000 841233421 476480809 626714393 799309239 1000000000000000000 145085871 52829256 97825649 12057938 1000000000000000000 958336450 237022826 249772854 634680852 1000000000000000000 572339505 313858742 140413845 526493903 1000000000000000000 135916265 32349390 13171078 61560808 1000000000000000000 203461253 31151473 124188625 24591182 1000000000000000000 662565095 566350668 381500341 388386958 1000000000000000000 94654629 4047998 65826678 61420197 1000000000000000000 472185976 74994898 181729709 255751065 1000000000000000000 274593483 250838602 272129846 178101689 1000000000000000000 964606281 248083753 843092933 610591480 1000000000000000000 835881458 468730587 243228452 154302871 1000000000000000000 108095069 77361347 19484867 96336487 1000000000000000000 523990928 231225004 395764997 77285907 1000000000000000000 257419303 107463143 36847861 100908751 1000000000000000000 777250742 276285736 329483175 459978070 1000000000000000000 669527257 448609812 639221662 101042312 1000000000000000000 589087037 19229726 116383256 381404570 1000000000000000000 747117132 74788645 293682408 621624957 1000000000000000000 778181656 124523054 741242388 469658843 1000000000000000000 229287765 80497976 26297160 97370490 1000000000000000000 695966496 337310078 291013773 481518438 1000000000000000000 733159629 408651472 479671830 432212488 1000000000000000000 30690468 24320047 9802484 3464443 1000000000000000000 618171033 378988246 141133514 440940766 1000000000000000000 653708509 565068050 441907216 411174556 1000000000000000000 953128524 514875530 138186246 693450790 1000000000000000000 564656986 113920247 338108030 217971229 1000000000000000000 512375798 9546372 75084252 286009220 1000000000000000000 705438735 369229321 273591485 550102846 1000000000000000000 155276947 103137218 110181367 144376562 1000000000000000000 326671281 322496983 309448682 324286472 1000000000000000000 305881923 57288491 152749239 235912795 1000000000000000000 329420824 222158553 226284015 272974689 1000000000000000000 86269752 4304013 55499461 28761755 1000000000000000000 768428556 566084666 17514720 631538271 1000000000000000000 14646298 10731640 3533241 8682616 1000000000000000000 908531352 170672907 769580530 101321674 1000000000000000000 623235821 586458483 85222632 503731991 1000000000000000000 871734729 484872071 570458644 846052051 1000000000000000000 673338548 419596054 183143702 380491241 1000000000000000000 787660620 716054291 691710058 55154867 1000000000000000000 435474595 274828192 193412060 414250978 1000000000000000000 457111318 347194203 296889067 305782505 1000000000000000000 783221939 139419620 401444591 600319728 1000000000000000000 707036229 164961788 538731348 233960737 1000000000000000000 872026461 807432865 461333304 343488642 1000000000000000000 743192461 676453202 109026426 117046217 1000000000000000000 326474587 124685260 223783524 133167906 1000000000000000000 324257847 59225866 145289016 65604372 1000000000000000000 771114648 188561574 512156919 569878945 1000000000000000000 191423265 85837820 30725619 33353956 1000000000000000000 287166223 222699011 235636288 162384533 1000000000000000000 83799249 32526512 71943702 51793146 1000000000000000000 732663897 435402332 71045188 93358498 1000000000000000000 76386769 51079621 42793246 5725163 1000000000000000000 228590542 127314768 4614198 212021681 1000000000000000000 865810137 273101609 323504809 1921897 1000000000000000000 690687816 538673372 499609270 592679880 1000000000000000000 726222149 186883292 137513537 702763393 1000000000000000000 789863852 146815953 5665551 157128691 1000000000000000000 113629449 15751905 45548261 39914446 1000000000000000000 330362903 180585467 114219278 268672189 1000000000000000000 971159420 930185531 734173865 646180389 1000000000000000000 406006421 360541293 392023586 66249440 1000000000000000000 799420173 142568854 368170421 153447122 1000000000000000000 308263261 207745081 26320490 77312384 1000000000000000000 425868461 62835699 78717532 390725110 1000000000000000000 727290654 429755358 557200499 152227260 1000000000000000000 659123580 507432101 260008431 357637418 1000000000000000000 376103712 125792419 302700280 318801611 1000000000000000000 591730622 157013413 62501734 573686488 1000000000000000000 725009730 227340327 412589383 592176388 1000000000000000000 181661750 5290089 10530668 76231157 1000000000000000000 257316608 244232656 187510175 21809170 1000000000000000000 819902172 635550398 569426527 35629984 1000000000000000000 802311769 330715917 43603950 456318501 1000000000000000000 818610508 255368802 444203169 262855072 1000000000000000000 533740404 515899784 245921854 65468211 1000000000000000000 45451332 5273870 41612263 38284878 1000000000000000000 115983283 10561127 7079675 56733915 1000000000000000000 405333051 40263172 343229820 312421779 1000000000000000000 879323898 750756505 174384700 849733812 1000000000000000000 247862914 108969555 47836578 191067537 1000000000000000000 287244731 30359334 62174982 261594954 1000000000000000000 646288264 608701154 84622303 616330853 1000000000000000000 501435552 263620993 497762013 284485955 1000000000000000000 57433719 4914745 20864115 40071362 1000000000000000000 187369104 25476431 163236745 105585941 1000000000000000000 764652751 589178499 82383052 575931355 1000000000000000000 178710804 146329009 120787230 127087069 1000000000000000000 107361669 59934290 17397823 59913047 1000000000000000000 404734570 139699102 311323326 11374428 1000000000000000000 5247485 344390 4599584 2097745 1000000000000000000 510751822 112038947 224435291 216539892 1000000000000000000 686319390 90116159 434331518 77428447 1000000000000000000 515306340 257618320 199751002 348333764 1000000000000000000 839683749 442066235 16611018 631781774 1000000000000000000 861839242 67072021 428624341 814741442 1000000000000000000 275393128 196343231 124515304 78571688 1000000000000000000 330363228 210734072 236838826 272510246 1000000000000000000 634709111 233012870 437947785 206283729 1000000000000000000 534120457 329002435 222267839 101417002 1000000000000000000 773700021 628943404 1733574 567960304 1000000000000000000 643348074 304356060 473298686 200305950 1000000000000000000 35514762 10696799 11905107 33028551 1000000000000000000 892826941 320464964 188068751 275256264 1000000000000000000 755537042 728629834 508069590 310963879 1000000000000000000 459165563 25107078 190612991 37208166 1000000000000000000 456751849 105872991 397929091 345590466 1000000000000000000 597375307 130535467 570645050 159531231 1000000000000000000 664028603 235795086 586085267 76074642 1000000000000000000 398113740 381597875 270373287 252218683 1000000000000000000 912848687 785530793 371853280 379976089 1000000000000000000 304778865 124908808 139243443 275851539 1000000000000000000 327025762 305001066 191323099 106818665 1000000000000000000 32682594 24088851 602058 23043754 1000000000000000000 867057689 761751935 739462491 135294439 1000000000000000000 939335320 349196820 350824662 170228402 1000000000000000000 415453480 307770032 291211360 88377301 1000000000000000000 585648246 338492712 552381796 460964202 1000000000000000000 91065643 56316672 77851263 55527525 1000000000000000000 200181405 36442443 170442972 29559936 1000000000000000000 439026905 41919211 218933096 308784383 1000000000000000000 528965996 465900919 229298154 279045876 1000000000000000000 357739152 149506909 349456863 79065708 1000000000000000000 409174806 266134325 127999728 21842608 1000000000000000000 840711414 134772075 393494440 448084847 1000000000000000000 259188405 199257618 226673923 69663243 1000000000000000000 377174975 293447042 238779494 315199581 1000000000000000000 822591879 707645615 125460859 6114369 1000000000000000000 294088791 139803457 109830062 145604328 1000000000000000000 945076047 608106768 18111022 364393373 1000000000000000000 708804470 578098047 256888563 639530637 1000000000000000000 70580564 43370514 49267687 39536661 1000000000000000000 392732448 97406441 310636712 24843643 1000000000000000000 289488218 87104970 198807019 37576364 1000000000000000000 554519195 118965211 535278114 66447210 1000000000000000000 411672759 251581914 15131349 284771207 1000000000000000000 897979816 567587941 803798769 813227874 1000000000000000000 336693459 141687796 200031052 245407573 1000000000000000000 350526765 302906953 196862781 322696226 1000000000000000000 805005841 596714241 619927042 488706040 1000000000000000000 945074897 105242243 605397272 424083442 1000000000000000000 795569391 75322931 177960394 102689203 1000000000000000000 152950612 63417544 28490489 130760096 1000000000000000000 600110326 329740879 384706966 445833593 1000000000000000000 48100916 3944568 23269819 6605404 1000000000000000000 445172614 407608039 86499541 399245890 1000000000000000000 741466808 717742701 42029281 342694684 1000000000000000000 276304875 84558390 190268208 211042690 1000000000000000000 408577427 231067323 39127582 347336520 1000000000000000000 569686652 264862776 128085527 195281698 1000000000000000000 463588428 363749623 375654246 255744787 1000000000000000000 902222130 554224989 145342022 495036784 1000000000000000000 966571162 911362735 783813923 252753814 1000000000000000000 851400492 386922976 842296223 489064413 1000000000000000000 696332967 95514799 226410152 364420993 1000000000000000000 956689993 634063328 936651827 639019618 1000000000000000000 347107939 310288928 244977615 9589265 1000000000000000000 538340129 49028434 151396220 13119938 1000000000000000000 159388048 50993118 124173057 109719749 1000000000000000000 596647887 204589313 342453530 249276969 1000000000000000000 824739471 409309667 68750062 601430825 1000000000000000000 277620746 86686197 57189913 116591100 1000000000000000000 38906134 27849635 1455568 5216864 1000000000000000000 319121350 197853441 11278370 238434460 1000000000000000000 16918806 12972030 4049566 11148734 1000000000000000000 844387386 459053515 515071162 30757057 1000000000000000000 732601326 675046228 328769694 515085151 1000000000000000000 807332542 4059144 443679806 129844219 1000000000000000000 209038750 15540445 33356279 142521773 1000000000000000000 408636069 364343036 193230850 357946385 1000000000000000000 557523518 97440518 400300261 279057619 1000000000000000000 906902644 429828367 344583255 539952161 1000000000000000000 399149534 381768437 2103933 363775927 1000000000000000000 471039891 3962651 214280676 331055453 1000000000000000000 811988185 6324866 506706450 399752201 1000000000000000000 379528799 370235627 330395626 210655861 1000000000000000000 131269838 129578865 128643755 54128778 1000000000000000000 231321527 69672255 26053348 117975330 1000000000000000000 633691086 378612605 301209682 624601191 1000000000000000000 247988669 157459610 118686953 79319565 1000000000000000000 803102085 435234630 472710656 32434737 1000000000000000000 436632131 277012664 420715036 171710866 1000000000000000000 530519396 351465474 341990528 345861931 1000000000000000000 303633465 117802612 51661860 133482518 1000000000000000000 436372937 45006976 271303198 387067928 1000000000000000000 278530076 248218825 214799072 69681862 1000000000000000000 379877563 261697040 131454844 348751159 1000000000000000000 851419546 215803832 477028459 205692328 1000000000000000000 321446705 62607855 8742864 32325356 1000000000000000000 329534487 117296118 62981486 150958338 1000000000000000000 834197811 348524620 530506753 278071816 1000000000000000000 640777980 241098936 281465038 231422231 1000000000000000000 636350716 390082603 527102751 101628184 1000000000000000000 868690889 866349206 425489528 299354392 1000000000000000000 517753538 88888640 31135811 95605625 1000000000000000000 51870804 29258732 11273022 23849963 1000000000000000000 867875125 861610593 388026817 166892335 1000000000000000000 744054290 272142128 107902971 138080645 1000000000000000000 682529694 618372354 266175230 510664173 1000000000000000000 541585726 403514190 434375304 488169506 1000000000000000000 301154621 152703160 35278065 63027030 1000000000000000000 94138848 2385743 52800367 31538264 1000000000000000000 524375857 488175085 64786106 324663620 1000000000000000000 769203039 144770463 591856379 82270224 1000000000000000000 686141757 250836191 220457487 379993951 1000000000000000000 574216759 270135519 149143738 565779694 1000000000000000000 327084083 302101320 264901200 95587957 1000000000000000000 262548161 256970526 131526878 70198242 1000000000000000000 259034755 185469100 45041868 119503411 1000000000000000000 552434474 94465731 126046288 490114602 1000000000000000000 438967256 272694441 385725355 321397307 1000000000000000000 883161859 236192573 494983718 550265964 1000000000000000000 791093921 483023773 427463201 455811497 1000000000000000000 829469584 553928481 126976397 635984343 1000000000000000000 559850111 92523522 225897822 211465639 1000000000000000000 197419879 10105666 71116688 105272678 1000000000000000000 289081869 122289354 66434384 47178867 1000000000000000000 100988861 20294603 69272363 97749881 1000000000000000000 729316544 102388716 623765435 568132003 1000000000000000000 968615052 745346530 566079740 322818870 1000000000000000000 31436391 25865834 6904023 24472199 1000000000000000000 746153650 406321190 484807455 472353951 1000000000000000000 967483869 354893031 3022918 834328174 1000000000000000000 976728965 493042220 641588894 260859586 1000000000000000000 978723958 765872043 409215805 154983753 1000000000000000000 774941188 349477353 580136583 755631265 1000000000000000000 280868460 92400314 226033672 238962531 1000000000000000000 245004019 119836989 193078358 202692589 1000000000000000000 230807958 184122954 172124761 12158999 1000000000000000000 334254828 143951538 254447935 4949259 1000000000000000000 125830371 36093396 104242207 118216967 1000000000000000000 253792758 193155714 38938982 13780044 1000000000000000000 331432021 62535584 75785965 61698543 1000000000000000000 830062568 29194634 39918578 200509859 1000000000000000000 510205169 11754406 267187487 223105770 1000000000000000000 676305713 167474634 422117018 274709170 1000000000000000000 888366564 733850105 199921979 400516212 1000000000000000000 734253999 412020668 189795528 269005088 1000000000000000000 179399582 171123510 34599472 177571221 1000000000000000000 797539815 751211839 794564334 695489351 1000000000000000000 431709695 393643899 380169144 28199923 1000000000000000000 235385067 132463989 103806624 201902104 1000000000000000000 679365284 172316952 469786038 19197232 1000000000000000000 523056430 518791170 404745495 185875592 1000000000000000000 344178364 174828456 40385149 20705608 1000000000000000000 758892486 593932272 280111409 116803355 1000000000000000000 849330806 504863924 113344287 333385485 1000000000000000000 879396028 16450627 92152662 541727249 1000000000000000000 737766597 412094100 158620389 205439835 1000000000000000000 495143072 109167376 107314659 253189580 1000000000000000000 756294678 438377035 406095591 288907032 1000000000000000000 462378872 25693195 212422886 295325126 1000000000000000000 906753360 569366299 450313381 618640071 1000000000000000000 213810827 151622026 50101015 183969154 1000000000000000000 982606851 914050502 294776742 394875371 1000000000000000000 741662753 101743033 105173118 627183175 1000000000000000000 117816758 28939248 114485445 23307739 1000000000000000000 186742947 41914773 83350728 60334705 1000000000000000000 457032693 149185917 338413363 373580832 1000000000000000000 764449765 631543766 16969044 639626767 1000000000000000000 417564135 102802085 201997496 353302523 1000000000000000000 883888837 436693157 121293632 102226160 1000000000000000000 336510589 63536433 281983421 27146057 1000000000000000000 231484233 28121395 226616687 196366505 1000000000000000000 337804263 322299828 73096057 57883359 1000000000000000000 596146830 37165856 153605973 44186350 1000000000000000000 89277835 42854074 20403053 7341425 1000000000000000000 106623896 63550415 66102557 18878500 1000000000000000000 274419127 13715032 78235715 48382079 1000000000000000000 885848274 635324903 588589565 496286624 1000000000000000000 116903380 49526113 49257251 30933848 1000000000000000000 870096075 99066747 786278104 713063929 1000000000000000000 774174538 281659623 735340156 486324134 1000000000000000000 657517293 195079297 625626452 110184600 1000000000000000000 540738622 429158674 24025181 94305976 1000000000000000000 92755002 46993913 49183580 68445037 1000000000000000000 822800531 699660775 623676524 484118398 1000000000000000000 188990120 24464227 134727590 34659983 1000000000000000000 966863327 610798112 926702769 928479458 1000000000000000000 378382950 364773825 49142809 359936805 1000000000000000000 865388743 157580160 475159011 544156047 1000000000000000000 251697231 65380688 15673923 8676852 1000000000000000000 301829487 52836422 232495329 203984427 1000000000000000000 921959844 731173907 404114421 131087046 1000000000000000000 40631663 16787231 11294731 8631363 1000000000000000000 197254439 124204613 58742179 38427916 1000000000000000000 931914221 472380300 40316093 475035285 1000000000000000000 555322131 293106821 20179641 478127972 1000000000000000000 468465014 147227632 402082906 282683423 1000000000000000000 912149960 743797853 627236960 64752377 1000000000000000000 749727918 7407006 401958286 328172972 1000000000000000000 933953613 322999948 896531647 246735861 1000000000000000000 803581008 71972558 133507751 28525057 1000000000000000000 784185427 688331431 249259557 25985818 1000000000000000000 119187258 72701005 70136470 2991042 1000000000000000000 54869862 36750463 6910680 11007377 1000000000000000000 492803072 451528611 336679508 267826704 1000000000000000000 448668277 24238397 114386222 444027211 1000000000000000000 275232721 47278661 34563078 47601522 1000000000000000000 95503771 42758001 4920555 81898430 1000000000000000000 240353062 108953503 90551340 64215947 1000000000000000000 497733092 268448513 102700507 268487855 1000000000000000000 5503265 5392218 4883073 5375420 1000000000000000000 95471444 25939073 69168084 6309938 1000000000000000000 760121832 240550647 695114264 492181619 1000000000000000000 729021396 371193788 560520367 404371827 1000000000000000000 251788733 239909221 77539577 120460324 1000000000000000000 220536295 174919872 20745622 183688742 1000000000000000000 505636101 9020868 409027988 346214862 1000000000000000000 217116778 173107077 120323625 17407832 1000000000000000000 527732307 310259263 98182258 305378337 1000000000000000000 829323215 605951364 203901459 270180132 1000000000000000000 900444080 164181342 828549596 451508212 1000000000000000000 305105024 203266758 47413658 197888273 1000000000000000000 878313526 753318286 689202511 56157983 1000000000000000000 601949491 454070217 525863124 192584736 1000000000000000000 922716592 385734999 774392747 712530103 1000000000000000000 883529343 729326965 858125383 744293530 1000000000000000000 291595574 105264192 98995677 181952458 1000000000000000000 621752108 361906807 255062335 477698206 1000000000000000000 613709098 426317005 1056912 344062343 1000000000000000000 750013663 387120877 422389059 10853411 1000000000000000000 127089639 74553894 18078601 74575556 1000000000000000000 261982108 228989018 248054492 252787907 1000000000000000000 827886455 86406096 496142940 171914511 1000000000000000000 878918508 166158024 214357922 37030264 1000000000000000000 475467407 92686004 219772880 78445610 1000000000000000000 481740367 102269277 162239157 328573910 1000000000000000000 969134361 534526994 267772795 553047522 1000000000000000000 383471022 218661600 136712938 51619103 1000000000000000000 668247497 660709931 2693517 564657355 1000000000000000000 106749630 102537373 69370782 33428268 1000000000000000000 921486520 20356387 213495601 172409423 1000000000000000000 109741057 85629436 89692299 89191514 1000000000000000000 97259914 37990911 33819696 38071128 1000000000000000000 818582618 455347910 221770959 692436643 1000000000000000000 421448867 129541051 280925897 319351421 1000000000000000000 615590692 376786164 581242399 364094751 1000000000000000000 17591978 16760440 16092765 14625431 1000000000000000000 810185613 665804206 203929705 559744165 1000000000000000000 175278538 86867523 36171764 142782918 1000000000000000000 382235816 369946948 43967216 251553568 1000000000000000000 495521846 259370863 290679255 182563969 1000000000000000000 381756323 67344191 167817396 129136644 1000000000000000000 277486276 264122200 69617611 87504571 1000000000000000000 397404387 297417637 332904764 95513622 1000000000000000000 840888857 286959515 86403889 783511498 1000000000000000000 920692003 555173459 229396901 18514922 1000000000000000000 766734871 42656755 166321677 472841449 1000000000000000000 342519905 331856208 321835292 268046660 1000000000000000000 733188451 334128897 517090572 484765981 1000000000000000000 278036913 42305766 124984229 194890567 1000000000000000000 309041215 209500714 95886352 128939186 1000000000000000000 784950435 393222049 134356712 121012351 1000000000000000000 823609192 642476825 520795896 238571129 1000000000000000000 539196754 153105809 497551412 528934834 1000000000000000000 956148631 298130832 228590268 162874595 1000000000000000000 548504025 314917232 536027062 383363088 1000000000000000000 449354491 147829672 281367059 251437527 1000000000000000000 955006868 457509695 952753050 273197946 1000000000000000000 171576438 33626496 119539284 13203571 1000000000000000000 722458556 218108915 201192787 684202870 1000000000000000000 843232556 480130647 130865139 693860764 1000000000000000000 926655154 876150902 65310577 72315508 1000000000000000000 105759598 61218457 94119476 79104251 1000000000000000000 463824073 276019332 21554194 28481380 1000000000000000000 117664130 112085737 83480916 53314403 1000000000000000000 666992845 310705252 348518038 78933672 1000000000000000000 162439096 142274140 101394935 13249251 1000000000000000000 324108810 254743054 214900971 278510047 1000000000000000000 123022976 94233632 112452414 84443022 1000000000000000000 386289146 156279279 248315587 13869752 1000000000000000000 905667019 869449397 305904810 371529194 1000000000000000000 868362346 284378113 288995239 773814410 1000000000000000000 822377105 179468901 586687992 398926787 1000000000000000000 996376008 937703635 491348587 996313027 1000000000000000000 535405538 444317257 119781290 354787529 1000000000000000000 871594807 81850277 341965996 56047026 1000000000000000000 516989254 246380750 89019101 304095987 1000000000000000000 883726398 155403200 315565659 84770920 1000000000000000000 671037715 356041163 589987007 637623808 1000000000000000000 407604531 359690537 328862300 240822695 1000000000000000000 514317609 373862336 109581322 49132464 1000000000000000000 109398089 67667716 74778267 107398522 1000000000000000000 380684056 49677634 58914918 190212010 1000000000000000000 838604603 837921397 393341025 258968454 1000000000000000000 375381986 355216379 18462511 17830350 1000000000000000000 875404263 326089362 685434437 348507857 1000000000000000000 12593513 12190716 10842646 10947371 1000000000000000000 783900445 595466741 153840481 564128088 1000000000000000000 420513679 123975924 144787590 147218583 1000000000000000000 468276650 303085051 3111911 78888986 1000000000000000000 210114493 198800973 40365877 145650459 1000000000000000000 412808407 213896401 200746840 67101876 1000000000000000000 975013846 876709672 649274723 783279820 1000000000000000000 41365940 12700540 18018096 10552824 1000000000000000000 597720106 460784697 518533442 45658015 1000000000000000000 234361548 169972286 149554848 192345267 1000000000000000000 306834453 251824794 11359635 187364094 1000000000000000000 329845109 327444873 187255107 287172482 1000000000000000000 451418083 72728544 298965143 184018011 1000000000000000000 181733550 116157274 31790634 145493741 1000000000000000000 636085292 600670011 318562725 464386755 1000000000000000000 573317825 57631150 87754171 208116404 1000000000000000000 274658512 204279623 209393695 28755588 1000000000000000000 596087844 433369705 117324218 425196721 1000000000000000000 494449282 313229945 25068882 183744585 1000000000000000000 251784290 201810128 180069367 153913661 1000000000000000000 612395921 293805636 265802553 550553592 1000000000000000000 932834382 154177787 860051592 518486592 1000000000000000000 684356713 409630973 330446161 93417286 1000000000000000000 304853328 54078641 35210011 85200550 1000000000000000000 614353478 120354813 505631167 208250054 1000000000000000000 831951381 140368335 527247679 556487499 1000000000000000000 220677963 194078921 112510668 22819597 1000000000000000000 326557010 67744916 202153316 28131466 1000000000000000000 412999384 287938404 173531089 89989198 1000000000000000000 488974578 207944256 237012283 209282982 1000000000000000000 151220366 47300523 47623910 78628988 1000000000000000000 528182078 93292840 302488139 113397383 1000000000000000000 668218155 30500591 563857124 650749575 1000000000000000000 360528585 358110836 255422112 3122580 1000000000000000000 533663378 518709892 181847012 432291006 1000000000000000000 446507703 256930284 13937583 175940683 1000000000000000000 112512686 4429695 68946999 17897169 1000000000000000000 419413428 260114853 286116746 169384552 1000000000000000000 844282249 603557802 650744902 247622811 1000000000000000000 734353474 476968937 502662820 15898372 1000000000000000000 28457627 10019215 18550991 14946863 1000000000000000000 395326173 200675889 180119519 164670813 1000000000000000000 212894459 164800153 159667432 210657803 1000000000000000000 128470601 96475904 8511432 78502305 1000000000000000000 33325587 20089723 9769292 10152654 1000000000000000000 356813026 1887800 13700896 48977715 1000000000000000000 54122409 20881078 8967362 52064731 1000000000000000000 850987028 821024586 280207647 466752841 1000000000000000000 446422993 165989508 33624721 353013004 1000000000000000000 812514747 723392133 437297428 456165560 1000000000000000000 293204686 206255978 8680095 290352895 1000000000000000000 832704716 452381382 412284483 480390807 1000000000000000000 652709370 432896796 581379735 229274149 1000000000000000000 875456014 869038374 69211591 435404741 1000000000000000000 106401695 13749134 82612251 21194579 1000000000000000000 530493906 48034781 236447216 331563712 1000000000000000000 520558746 9840231 297228358 358050844 1000000000000000000 800305114 189672682 352402630 327120981 1000000000000000000 301394831 20154432 55547680 300336254 1000000000000000000 858961506 384087699 37712639 352568040 1000000000000000000 217375157 186249393 114525394 27071970 1000000000000000000 461152117 368917597 457194335 428351908 1000000000000000000 255179641 154702301 35994859 162229891 1000000000000000000 249874686 164127505 47166449 59110742 1000000000000000000 837479336 655967391 468500642 574986474 1000000000000000000 553501048 21979111 61766358 13026130 1000000000000000000 251559592 143780726 159273280 188067144 1000000000000000000 861106822 456202435 542701395 576695031 1000000000000000000 64707082 48716033 61353810 21172640 1000000000000000000 779456153 140896622 272374462 379017461 1000000000000000000 597200637 499651736 564958751 326510505 1000000000000000000 947743549 910303864 377436272 580986776 1000000000000000000 106193195 95321786 87567426 105513100 1000000000000000000 677496307 505834918 443500723 598074828 1000000000000000000 206939510 4775871 172532994 90253938 1000000000000000000 391205892 358979414 11240659 29416709 1000000000000000000 361652437 52227294 256726254 54747727 1000000000000000000 351346276 338421100 67960588 288772371 1000000000000000000 524884539 391755452 467338624 91310176 1000000000000000000 624977056 222787634 592662584 229173824 1000000000000000000 794080932 25019933 460123167 707120625 1000000000000000000 192977805 187857687 166914028 124068943 1000000000000000000 71065905 17317865 48841350 37951987 1000000000000000000 811572924 761630736 628971175 234326308 1000000000000000000 199901675 152357035 186339657 198093137 1000000000000000000 289590109 241053155 273805698 63791749 1000000000000000000 200285576 19392050 199442891 76612335 1000000000000000000 64872547 8690039 31701543 37538431 1000000000000000000 977087796 325713479 728338081 317932747 1000000000000000000 670969831 576008238 545460527 221841663 1000000000000000000 178172651 117267811 80127337 31893771 1000000000000000000 454805194 351937458 245374302 338780769 1000000000000000000 796977294 50824867 795822721 95974050 1000000000000000000 904665512 741267766 763828034 456077848 1000000000000000000 780327770 246878822 214428870 597251439 1000000000000000000 18745158 9761603 17793742 18361311 1000000000000000000 908489759 249934200 487900247 395078978 1000000000000000000 990455907 807355774 194934654 651310967 1000000000000000000 663339975 481866945 656977810 594342930 1000000000000000000 40931015 40039716 3204151 31675416 1000000000000000000 229234438 70431120 139907397 226591903 1000000000000000000 957899843 529360402 356883090 511210169 1000000000000000000 372288724 199143422 78692075 361055354 1000000000000000000 577283562 149372475 163372734 275989622 1000000000000000000 582509064 277394929 87784561 125170630 1000000000000000000 917997638 597153061 494983856 541591853 1000000000000000000 336937791 302044480 284132890 290201336 1000000000000000000 271821717 41146370 141624053 46405747 1000000000000000000 678290404 148311546 319511270 283654732 1000000000000000000 790113199 203106063 495249356 621478342 1000000000000000000 191822924 83195771 174719626 163721860 1000000000000000000 95688914 80304217 73458982 82328373 1000000000000000000 120770098 59371264 21676137 1491564 1000000000000000000 993092419 483705219 988833057 944156570 1000000000000000000 632066344 470794756 398380830 84301143 1000000000000000000 813961729 607470043 784610092 560152323 1000000000000000000 159882224 25528539 6018737 139544844 1000000000000000000 71361319 5693794 62438968 33692068 1000000000000000000 815853842 177891777 89937567 156237753 1000000000000000000 120455961 8279050 31180265 17715867 1000000000000000000 557720748 298337863 321501898 258617761 1000000000000000000 17006686 12752031 11503646 4642657 1000000000000000000 919326813 695553769 904138926 471279567 1000000000000000000 917173051 198132572 137140639 311892194 1000000000000000000 345047670 156259336 30101143 333133398 1000000000000000000 1038311 443315 307061 952459 1000000000000000000 615499411 193399824 181385710 296169816 1000000000000000000 12856308 1976474 1463334 664966 1000000000000000000 885937002 254360899 653793877 578975172 1000000000000000000 304560394 23056818 270587585 200786118 1000000000000000000 176179777 23251643 83437841 46937245 1000000000000000000 644466646 346918449 440037429 628570312 1000000000000000000 512490654 223019406 163564652 249043071 1000000000000000000 929883695 798160135 624957136 566117546 1000000000000000000 955128764 917366537 430018665 883059954 1000000000000000000 611014101 47385818 373122974 37003784 1000000000000000000 635660599 433759007 218283712 445788759 1000000000000000000 392220729 323734510 16312334 363975193 1000000000000000000 579797991 316473751 571653815 198510084 1000000000000000000 599176638 169986928 551488850 503049798 1000000000000000000 150501778 99506873 67739740 35106786 1000000000000000000 963462164 191468881 24793861 180554874 1000000000000000000 747074185 284537674 307741158 279920713 1000000000000000000 955849639 305134547 489719733 390425779 1000000000000000000 124285323 153994 52244158 89775593 1000000000000000000 246247967 169819750 95783869 187280222 1000000000000000000 694899986 7060357 22695484 297711165 1000000000000000000 968254126 739330678 724827210 448597963 1000000000000000000 13486088 13244065 12638447 696363 1000000000000000000 195872360 175152866 21464455 30268611 1000000000000000000 534850749 150788201 216844475 336163673 1000000000000000000 620498512 312175802 448175758 111733599 1000000000000000000 302302093 286422974 262222296 208035521 1000000000000000000 216168484 119884867 124828540 158047815 1000000000000000000 22964221 5383876 7975733 10559977 1000000000000000000 965369824 702769732 494330759 889602740 1000000000000000000 259982869 235344007 60057365 93914257 1000000000000000000 369607340 34698662 335763071 349362632 1000000000000000000 283050833 227869642 253477245 161940799 1000000000000000000 853008982 346933024 199099464 277869255 1000000000000000000 875049414 557555322 557696381 629903554 1000000000000000000 661376407 576353399 256106647 390138472 1000000000000000000 630389940 59011479 375966846 426516162 1000000000000000000 56518089 17671871 53378215 19951771 1000000000000000000 231111215 18539972 151250390 169369423 1000000000000000000 623491131 10252138 519232068 581898821 1000000000000000000 21938506 5054385 11193139 12612315 1000000000000000000 340139021 202883764 259467174 336918918 1000000000000000000 137722725 100110355 110717136 1573391 1000000000000000000 759246654 161049628 615195293 290618436 1000000000000000000 741349963 490657410 689277030 130354400 1000000000000000000 793119822 361389929 459571127 724770343 1000000000000000000 222163040 162632955 125881894 205665476 1000000000000000000 809685900 699590873 264111190 572496414 1000000000000000000 3770815 1873005 1994731 1441878 1000000000000000000 777004206 413823852 317524079 380108685 1000000000000000000 578649713 52064338 358731137 229919343 1000000000000000000 745983677 87615340 164623680 292885098 1000000000000000000 519806228 483363385 135714193 404009511 1000000000000000000 393856550 272146802 84609832 227638085 1000000000000000000 387082490 279263192 79416476 64400144 1000000000000000000 473631054 89571677 160817223 453907722 1000000000000000000 786017424 673522820 504353963 738931106 1000000000000000000 979677419 717272891 928987004 899762599 1000000000000000000 176498430 129465791 62204087 43711638 1000000000000000000 741619621 588344509 185909741 502441436 1000000000000000000 610229231 583783070 181773230 56309054 1000000000000000000 529887332 293400775 24275788 209844594 1000000000000000000 153828921 140980067 3915667 99470283 1000000000000000000 95343577 38073424 35296039 82573350 1000000000000000000 22957150 10603924 310393 3186949 1000000000000000000 695968679 608789623 435047964 124225372 1000000000000000000 380810777 221911808 176079570 208889836 1000000000000000000 624436289 411384296 472783433 542712240 1000000000000000000 709482507 229345022 646871949 428456556 1000000000000000000 56290170 4189428 32496609 30935749 1000000000000000000 914477871 516492618 732358193 804369712 1000000000000000000 845849300 34889313 815058063 797620042 1000000000000000000 227915782 176761478 76697843 79993745 1000000000000000000 443122671 64731999 289536830 56102376 1000000000000000000 875656728 686928947 552165843 528715125 1000000000000000000 194569219 14847289 39442779 169187901 1000000000000000000 146298662 104251144 103984712 49045658 1000000000000000000 376277783 305331718 264489714 339322498 1000000000000000000 828882299 777971331 436131135 88405771 1000000000000000000 190662661 42301347 168059995 132461217 1000000000000000000 673272343 313756885 266564947 270522891 1000000000000000000 538926387 200264223 33445851 349657551 1000000000000000000 861823504 257112789 549777756 657841324 1000000000000000000 456054038 424480781 254928379 357070037 1000000000000000000 64865594 20358029 48876331 22265411 1000000000000000000 943181813 279312849 343212073 128833261 1000000000000000000 601311799 451247674 465226428 519440680 1000000000000000000 854647025 252037761 15735141 445757856 1000000000000000000 237533150 191220481 65891577 56349079 1000000000000000000 65440497 6210159 16618098 55444550 1000000000000000000 496942626 11801267 246673830 416764070 1000000000000000000 281281546 86918326 71776274 270907281 1000000000000000000 425303665 256659888 252845714 28335851 1000000000000000000 535585017 45740916 69918156 151936536 1000000000000000000 626967124 379993683 90210992 446675095 1000000000000000000 217065390 171101371 48949264 203435595 1000000000000000000 593616986 148367087 411254762 141701600 1000000000000000000 35270220 1953050 18262157 28404177 1000000000000000000 49943246 40799814 16793746 11535566 1000000000000000000 680406322 396129096 379316526 535884593 1000000000000000000 649450675 551077620 604391506 329403701 1000000000000000000 559371124 550673118 386357939 223472915 1000000000000000000 111472690 38980024 58645720 1461180 1000000000000000000 462998285 36069015 461544733 333972178 1000000000000000000 810549864 445454349 468388719 585192639 1000000000000000000 317607441 38460709 101189582 12199608 1000000000000000000 76473768 66227441 60778566 27431093 1000000000000000000 353144710 73984147 155243959 21510014 1000000000000000000 358335610 150797633 59917810 233014039 1000000000000000000 75775725 5918461 56231480 34627876 1000000000000000000 833340197 793916153 540653213 225703505 1000000000000000000 735560519 493964916 136170741 604968927 1000000000000000000 113097672 110828326 87099870 64459370 1000000000000000000 45633531 40766620 138484 12022872 1000000000000000000 994356311 517186873 645766511 547913910 1000000000000000000 39839651 10729143 26923324 35745019 1000000000000000000 456588874 251273935 282177272 56219956 1000000000000000000 49600769 25955971 33213870 32628257 1000000000000000000 399691721 148928159 97740583 117483360 1000000000000000000 981416047 196769545 236881894 865959202 1000000000000000000 72656533 5198231 22543244 5363072 1000000000000000000 982888723 755653378 561904824 71040038 1000000000000000000 54826652 40240635 41270787 1730280 1000000000000000000 442865457 280251512 50785697 330029940 1000000000000000000 15276007 8057021 12419746 13064154 1000000000000000000 40361536 2134812 27174302 20813360 1000000000000000000 866543375 558814729 626274363 558938840 1000000000000000000 838289284 319414097 394682794 127305401 1000000000000000000 507998059 307624655 145613617 50224105 1000000000000000000 711414484 241838200 560916625 79769238 1000000000000000000 948250541 874421581 417060350 672734306 1000000000000000000 4643164 104323 3626519 570020 1000000000000000000 511864620 26786476 155595537 257186244 1000000000000000000 479060998 87280276 15652861 181720940 1000000000000000000 329954311 217980874 87168541 170339210 1000000000000000000 77102945 32990526 63234887 15636654 1000000000000000000 234130429 214698063 80424323 93649524 1000000000000000000 742546841 587314234 71659775 695550658 1000000000000000000 840873753 90576399 451986792 82649225 1000000000000000000 900504774 465129791 875577741 141315100 1000000000000000000 870092829 118279908 51042464 209483412 1000000000000000000 951712400 692144915 813460910 534303604 1000000000000000000 318555194 231523539 168811559 94237989 1000000000000000000 836590008 206433249 148864671 806891678 1000000000000000000 897533536 724662962 844442193 805815051 1000000000000000000 956387428 779269426 788141462 434255578 1000000000000000000 813306960 20277967 280539008 479094137 1000000000000000000 897297482 800804386 693927741 658579607 1000000000000000000 7541238 5309784 3800714 964322 1000000000000000000 723194936 490889808 68749948 502726258 1000000000000000000 311535712 12831839 278715738 8802664 1000000000000000000 151969807 80178083 12650135 61994869 1000000000000000000 907330287 127660068 44125956 675128640 1000000000000000000 567236858 566511542 329153224 1196651 1000000000000000000 226752306 161071935 129162645 144037062 1000000000000000000 970691752 606843933 374392163 572588912 1000000000000000000 610795936 329109922 580253544 608539909 1000000000000000000 276352372 8392863 700299 81324750 1000000000000000000 559825586 49643873 138883853 115219631 1000000000000000000 901281059 276607402 494387288 324787395 1000000000000000000 953787305 98776242 163355058 787514903 1000000000000000000 372260814 311407335 103350896 155978785 1000000000000000000 595866175 215077411 290912330 32445495 1000000000000000000 133523670 94637633 24810448 102146146 1000000000000000000 398988933 187652469 250163551 22563597 1000000000000000000 418027598 15784622 218031576 344927978 1000000000000000000 544297335 137885708 179143878 310193196 1000000000000000000 95471376 28092691 31284453 69930639 1000000000000000000 490664228 213132774 27216794 469254968 1000000000000000000 395941622 20455978 176461961 174020615 1000000000000000000 848278057 663620371 134789778 151661827 1000000000000000000 18593788 5973873 2219065 18176167 1000000000000000000 224190319 141586785 114951647 132435218 1000000000000000000 268685257 16461048 136690760 210393520 1000000000000000000 444964611 349986313 66229936 65983278 1000000000000000000 321333931 109415141 65813301 238026754 1000000000000000000 952058739 853052390 852307823 443460737 1000000000000000000 620269223 537501394 93151207 184676863 1000000000000000000 941242616 685603210 665988441 604105462 1000000000000000000 212107849 70269368 84999757 63225282 1000000000000000000 829850326 42522328 742893187 795842166 1000000000000000000 6266886 1196973 3618892 3252191 1000000000000000000 607575359 337742172 598250471 127067154 1000000000000000000 393776384 248861596 281253106 96092867 1000000000000000000 896149948 302876743 320528439 9329708 1000000000000000000 830829084 289617368 474492451 658756335 1000000000000000000 39502328 31171951 1171466 12681067 1000000000000000000 884361621 378899504 677789308 485610086 1000000000000000000 594961457 303774331 167504922 171084218 1000000000000000000 327141678 174181018 8844352 248612481 1000000000000000000 132894610 104193715 2004609 114699574 1000000000000000000 85334469 16291371 31500390 6720179 1000000000000000000 90060198 60205063 78842487 58212205 1000000000000000000 694093818 440186029 687112300 522115732 1000000000000000000 558890068 142591127 537125456 512666068 1000000000000000000 329065319 46578782 84474728 177530219 1000000000000000000 394960889 347341354 51169439 116267693 1000000000000000000 37174278 21188748 34741682 14451500 1000000000000000000 867722139 556600553 267258873 722489271 1000000000000000000 468290500 397013398 90835704 13923289 1000000000000000000 15777863 7425377 2846521 2154363 1000000000000000000 102660090 27015228 27248344 7095655 1000000000000000000 66109573 15668350 62575996 12739396 1000000000000000000 212522900 63809010 184445995 12855244 1000000000000000000 219858762 200577467 100505784 117158300 1000000000000000000 20953934 11489879 7272724 14946204 1000000000000000000 46308615 26651781 15196696 37246143 1000000000000000000 411549759 163140716 263176174 177966419 1000000000000000000 792035074 440219337 379251347 660079564 1000000000000000000 555897927 93434074 149770658 289289582 1000000000000000000 305452904 8751882 189807869 47620647 1000000000000000000 332216943 45414013 49830067 143450119 1000000000000000000 457843741 91743788 93225069 35501114 1000000000000000000 337960657 32965795 251015683 154745916 1000000000000000000 873748862 441075180 701064032 322450382 1000000000000000000 762954927 210353411 675615734 682926606 1000000000000000000 233953871 156780490 18692195 114405083 1000000000000000000 553073612 93208589 381479834 287937575 1000000000000000000 851499594 324323835 489453077 554562697 1000000000000000000 316511955 200234775 268158668 18810410 1000000000000000000 407546929 92733451 271621380 66748247 1000000000000000000 395976067 134740805 60713070 260889853 1000000000000000000 475003070 220326266 249848411 357211832 1000000000000000000 194965133 151840417 86721363 97372248 1000000000000000000 889283022 504904406 608161804 234397320 1000000000000000000 123606320 112484512 10739095 98974597 1000000000000000000 369538678 249827603 223506617 81743195 1000000000000000000 702519039 630904985 158681656 176711180 1000000000000000000 468316467 108689706 93515055 404553458 1000000000000000000 585050806 135164270 212965688 530214117 1000000000000000000 36260767 35301778 26236510 12135958 1000000000000000000 163462559 132020131 83452129 159975266 1000000000000000000 261028265 59137999 127427170 57678528 1000000000000000000 563044300 543681438 548124726 122402099 1000000000000000000 938791299 265830929 911987294 630173217 1000000000000000000 15602737 11886786 4166792 13910363 1000000000000000000 194530070 59147428 32315932 133391494 1000000000000000000 190457316 25367642 116420699 120381626 1000000000000000000 406861385 140756655 192133629 122345132 1000000000000000000 31513679 25242173 22073498 14860640 1000000000000000000 772229654 450161341 557238150 166243535 1000000000000000000 948138408 387455888 509010079 883935359 1000000000000000000 595162297 353980754 131973929 259821241 1000000000000000000 467442161 157137548 307175425 163634067 1000000000000000000 731248922 488650660 17084732 180017942 1000000000000000000 369510534 233254233 131855820 308666850 1000000000000000000 179395500 143786936 20411043 28501257 1000000000000000000 123208835 33043649 110667802 85142564 1000000000000000000 493690159 28261218 100000698 482567549 1000000000000000000 538459731 519761712 498717652 243382500 1000000000000000000 183134669 151712734 132587533 61836674 1000000000000000000 421290746 61674994 385146551 17480250 1000000000000000000 328183615 77910502 47497419 317416215 1000000000000000000 656896286 59015404 248823362 641269140 1000000000000000000 472233588 146946140 281299334 368235552 1000000000000000000 264177241 2042142 160326187 97113293 1000000000000000000 17967415 13887148 9080324 3004878 1000000000000000000 20818314 5775217 20110369 32720 1000000000000000000 684142726 551448926 52910545 370868923 1000000000000000000 680710982 333414685 13502062 452483881 1000000000000000000 905629245 460330678 633538382 465724126 1000000000000000000 524738211 3313564 104819830 288042391 1000000000000000000 473528031 219415451 198420681 125192698 1000000000000000000 750590343 344551524 186027391 117537544 1000000000000000000 199740070 65612029 158543700 158468972 1000000000000000000 57942757 8226719 29117025 51037095 1000000000000000000 374369601 68144981 188542390 289889346 1000000000000000000 459932536 356379890 262812446 337870939 1000000000000000000 709543956 369858345 376106727 2492547 1000000000000000000 465222991 133842374 291836180 1627679 1000000000000000000 230430253 82487988 71099543 139581361 1000000000000000000 679545746 247736908 431671208 116177543 1000000000000000000 386029573 93568814 148808768 19804805 1000000000000000000 999345064 574038552 624412052 335906306 1000000000000000000 556497414 31386378 465951817 180770290 1000000000000000000 34766400 926957 27047940 32759917 1000000000000000000 501927867 413679329 250227493 98325159 1000000000000000000 365811721 64913236 54401956 102531561 1000000000000000000 637667352 209350661 65095245 261309820 1000000000000000000 952579803 159852548 805464094 911535923 1000000000000000000 112927904 43042918 11919335 81633555 1000000000000000000 961852112 829759854 96935523 144540479 1000000000000000000 923388500 594927479 260683790 583997076 1000000000000000000 526405430 242495148 59282087 8697661 1000000000000000000 144442140 100921903 15842726 51920608 1000000000000000000 145588491 19554956 100610380 16182828 1000000000000000000 432642946 9608551 26779968 363211222 1000000000000000000 553918202 245163777 121718686 324927794 1000000000000000000 16539564 9408418 12899218 2703929 1000000000000000000 728730088 408696503 566411299 224722188 1000000000000000000 752034320 541094527 149405723 233128540 1000000000000000000 166585595 83128563 164603373 98687121 1000000000000000000 795476285 496786393 228069748 773564228 1000000000000000000 381800431 159487926 379898290 234953472 1000000000000000000 852835256 33238475 827173784 623121123 1000000000000000000 582548402 62269927 443122365 355661346 1000000000000000000 604348795 36992034 515036655 57040009 1000000000000000000 784875323 606661369 104344798 680257735 1000000000000000000 94055856 15240393 37760022 50359695 1000000000000000000 135221874 49891015 28505472 66438554 1000000000000000000 155161301 93578467 53658232 92010359 1000000000000000000 171416134 53880524 96657228 45342923 1000000000000000000 515060858 367478831 463830462 405734896 1000000000000000000 248140680 156172794 63617352 110532533 1000000000000000000 597359455 133499118 414578561 182141648 1000000000000000000 163805383 99103585 65497764 126794971 1000000000000000000 5863776 3914647 4524690 1676817 1000000000000000000 975176835 969946605 209386899 789851234 1000000000000000000 319583702 215097661 169694857 136732338 1000000000000000000 407161021 335601104 270030761 261176628 1000000000000000000 411478685 273898498 88281251 96383396 1000000000000000000 11530289 6478476 116737 5930556 1000000000000000000 755297597 99551925 59784199 378135583 1000000000000000000 632457235 474036544 243497603 22574046 1000000000000000000 357653281 305654908 352348592 287036826 1000000000000000000 35648903 7771965 647438 1688382 1000000000000000000 345078446 23345299 14614093 236577197 1000000000000000000 48402169 44529912 14339812 7969082 1000000000000000000 342577130 292263245 163624278 202872489 1000000000000000000 79787489 31928719 73821014 1627606 1000000000000000000 197618863 119751099 123963282 7337275 1000000000000000000 738112665 199113564 583797590 314159687 1000000000000000000 181103388 170964792 47681545 104573347 1000000000000000000 534958255 312379264 406916726 298959659 1000000000000000000 152030961 121810542 87700581 123861304 1000000000000000000 698839348 448174750 7540902 160271408 1000000000000000000 769520098 371108413 271730563 111178953 1000000000000000000 613911834 204850842 172351764 337538961 1000000000000000000 202696556 157069820 183806188 47178755 1000000000000000000 263851255 155496959 3599212 765800 1000000000000000000 499504250 290469833 80096773 476247492 1000000000000000000 798051392 96509961 176198822 120909282 1000000000000000000 399320478 216321358 239532592 193540213 1000000000000000000 46323315 35053032 33822299 750383 1000000000000000000 654758497 525201481 241590403 170484665 1000000000000000000 705427073 667631196 154348851 416324485 1000000000000000000 250746853 142034614 236396692 227368141 1000000000000000000 737674545 625582941 579219044 202163897 1000000000000000000 857766654 516178192 305249836 187162042 1000000000000000000 948612892 450556714 365910262 927196897 1000000000000000000 431760677 73338833 165522234 26572808 1000000000000000000 777450752 627075479 157667617 408848343 1000000000000000000 2523870 1236406 151923 1359885 1000000000000000000 241222148 88724873 104354029 57165692 1000000000000000000 571688202 294708417 265820599 315923904 1000000000000000000 300465429 252558759 243116017 60816985 1000000000000000000 688648584 538771139 33755352 483060200 1000000000000000000 983585887 175704016 559396546 719694933 1000000000000000000 729294517 59280293 410954390 677613722 1000000000000000000 504856820 204761497 177593166 313979546 1000000000000000000 712077634 218988244 106539710 98869663 1000000000000000000 752410248 719243872 701538719 688298702 1000000000000000000 79656803 29920416 1829432 36574313 1000000000000000000 821932026 714598138 619510920 460047686 1000000000000000000 937797683 691987584 83741438 94020970 1000000000000000000 992253675 851458465 98897881 866448562 1000000000000000000 188158782 164864912 12247881 172610116 1000000000000000000 979218412 856141 731158272 350969755 1000000000000000000 875370771 110897996 459453092 594700816 1000000000000000000 250609950 111180705 247068177 116865602 1000000000000000000 955375243 88600711 319203724 680945475 1000000000000000000 677781473 612786588 476477915 461494200 1000000000000000000 252549635 1205450 171678026 78342740 1000000000000000000 565118755 246562108 299101473 55836545 1000000000000000000 336374344 45303325 17565680 280434060 1000000000000000000 188025510 58098134 62972416 16486888 1000000000000000000 849553522 214033596 549062823 683638150 1000000000000000000 515429529 303277564 282812941 432517621 1000000000000000000 799928438 502473096 211435096 382617837 1000000000000000000 305991068 276694998 214768977 43534756 1000000000000000000 96990226 40516953 61864020 39231540 1000000000000000000 646557657 399133914 349119658 639457826 1000000000000000000 254433307 89431869 244208102 32484106 1000000000000000000 599548328 83223449 10136005 263093141 1000000000000000000 552194061 419527405 530601948 220132054 1000000000000000000 21533706 11298370 1831966 3641080 1000000000000000000 468460942 169193190 443362977 273854667 1000000000000000000 92391779 64954358 51848597 23162173 1000000000000000000 617226572 147906667 474110877 109210778 1000000000000000000 125375531 1429442 63362384 108223872 1000000000000000000 18544463 17755414 8084088 39355 1000000000000000000 672413065 366931579 433496005 8008158 1000000000000000000 342983250 213578010 50450475 63879645 1000000000000000000 924472275 159213565 406692147 845147887 1000000000000000000 662578142 539632551 619566251 324627046 1000000000000000000 699184203 200739917 666345089 350170281 1000000000000000000 268974928 111911314 228440190 142585052 1000000000000000000 783128607 443065206 515264562 100568341 1000000000000000000 489337213 167398021 309084352 97603264 1000000000000000000 276997238 242315893 243317218 88236729 1000000000000000000 997971512 267415482 601691978 657972527 1000000000000000000 537222855 361722495 391868307 333354710 1000000000000000000 243023105 180791033 50546709 88892304 1000000000000000000 592590032 489234670 366791833 251981197 1000000000000000000 814815125 101725579 342043992 804144367 1000000000000000000 286353800 87942664 158304902 278332824 1000000000000000000 513975084 437862134 74104653 331287295 1000000000000000000 484789626 283423538 341353955 282632249 1000000000000000000 285370543 159226450 273945844 119633366 1000000000000000000 61510818 55976032 6580496 13784378 1000000000000000000 145604920 123136280 82870545 6807007 1000000000000000000 102415206 15815727 96936057 74529729 1000000000000000000 608925103 52141961 461693648 287234763 1000000000000000000 229924136 159134840 90354432 73192254 1000000000000000000 196384536 142257306 75857142 180486542 1000000000000000000 471310486 80889001 116203593 315480606 1000000000000000000 126347758 43229465 111832640 27213127 1000000000000000000 190385874 15792738 158807234 152595441 1000000000000000000 97252568 47893465 71649911 79705893 1000000000000000000 726193557 192164010 697977837 655519960 1000000000000000000 701043051 90023231 534426729 260986485 1000000000000000000 667079605 362854193 423152948 33036368 1000000000000000000 4335499 1081 73679 990000 1000000000000000000 292833749 65694045 187929232 22066097 1000000000000000000 181763748 51870557 181062781 66826389 1000000000000000000 644489710 244087342 262832645 71906470 1000000000000000000 954646421 811059202 799876813 488448098 1000000000000000000 609751117 431261018 248283032 158120514 1000000000000000000 309461531 77684284 210727893 160219728 1000000000000000000 472062389 149225123 38277725 27021559 1000000000000000000 290998861 115285982 124866706 89402270 1000000000000000000 253207983 100284480 213105482 213329501 1000000000000000000 882685525 760230498 525223760 720910074 1000000000000000000 420947877 377359378 107681350 396640877 1000000000000000000 15193074 5231203 13115498 6442858 1000000000000000000 57233450 8326345 20072828 34974455 1000000000000000000 968628243 296615566 107289896 728849966 1000000000000000000 507968294 345132134 153995828 380830614 1000000000000000000 469239126 108872900 341990315 296227544 1000000000000000000 83955623 1792847 30496584 60605031 1000000000000000000 659191923 147493929 648649505 448912675 1000000000000000000 613668989 120203833 147636344 539054720 1000000000000000000 838883735 37272561 680200776 122004226 1000000000000000000 727638404 238127857 445186104 258021258 1000000000000000000 546734114 432638405 32182237 252747178 1000000000000000000 555004088 494874494 193102138 76925556 1000000000000000000 207942724 163418132 38873683 77129182 1000000000000000000 354732555 308412077 80783461 71814968 1000000000000000000 821279511 804248262 530102653 429060713 1000000000000000000 549579529 49235450 295605440 477461163 1000000000000000000 860924729 195536299 33703741 294986793 1000000000000000000 18809612 4121708 5520364 12691500 1000000000000000000 659721506 287655224 7428510 215234343 1000000000000000000 185812645 104630576 180007494 169007962 1000000000000000000 382802848 157720024 137329907 180742861 1000000000000000000 139199582 75795153 93664229 16105393 1000000000000000000 679258275 473489333 584291858 408156577 1000000000000000000 836678231 182199295 517726066 328654372 1000000000000000000 716992253 553948705 473772985 527240779 1000000000000000000 993314428 86079274 453933773 348026881 1000000000000000000 23230860 13136276 15998698 11130182 1000000000000000000 58455046 54396399 10852395 43189315 1000000000000000000 556679330 207377331 525847970 344943804 1000000000000000000 529644372 7757753 132212327 44543410 1000000000000000000 450672036 257035301 128205724 268134306 1000000000000000000 764976318 421516679 675234261 289060552 1000000000000000000 840679769 400183106 534375419 403970033 1000000000000000000 701174695 577795541 341141901 242540833 1000000000000000000 157433183 157284206 115466597 31419497 1000000000000000000 238012373 219324588 87013115 132787457 1000000000000000000 253910632 215514985 141405030 43460937 1000000000000000000 862525654 602634516 304922929 744919256 1000000000000000000 358926985 95298480 229639712 49596719 1000000000000000000 48648842 48166837 39097774 26835018 1000000000000000000 860212240 406128371 502337931 560049494 1000000000000000000 841039246 403944820 818918756 229043913 1000000000000000000 259153829 206067002 122826572 239211672 1000000000000000000 238239130 53200215 42092945 6786719 1000000000000000000 347342757 322137573 332232802 159226787 1000000000000000000 636472189 388392385 552828722 96542099 1000000000000000000 566226611 118286162 380831858 268825522 1000000000000000000 68238200 57241470 29567207 8141227 1000000000000000000 345500858 229877750 222824591 218353432 1000000000000000000 710538519 663016727 534098667 445436191 1000000000000000000 93262559 69551315 5455225 11854304 1000000000000000000 100331081 98305281 16284298 44697176 1000000000000000000 431921585 170309140 181149976 57955465 1000000000000000000 707565094 5861304 502110822 627154150 1000000000000000000 712527506 254706244 12772583 391525270 1000000000000000000 789166318 283221390 420835990 696508577 1000000000000000000 55249943 25047704 28181163 41993493 1000000000000000000 359178677 163334093 6416613 226213661 1000000000000000000 123553378 63302889 64357356 104720510 1000000000000000000 820331580 2608694 715025936 705384547 1000000000000000000 544378326 21030753 510971659 397737421 1000000000000000000 159450836 66247269 150546837 81008522 1000000000000000000 425771138 319160898 325897899 211985819 1000000000000000000 504789169 252166370 106344148 4154619 1000000000000000000 399980111 369755398 279820981 176540906 1000000000000000000 619285085 122272372 89276601 476977166 1000000000000000000 555443942 329227089 300948627 340335901 1000000000000000000 959751291 374842495 784162565 670871693 1000000000000000000 826802784 408131498 532760482 773244720 1000000000000000000 722131368 418858285 655072472 528082751 1000000000000000000 205394951 126732202 67654283 171000765 1000000000000000000 461748004 397067639 382243435 9260448 1000000000000000000 305084283 194208379 86734359 72045787 1000000000000000000 763994808 708990003 540289388 665823952 1000000000000000000 460167013 438425158 50734916 448289930 1000000000000000000 968812148 860370572 841436224 96164321 1000000000000000000 431184389 235505249 399169228 13213499 1000000000000000000 2554535 2506345 2251710 1161742 1000000000000000000 316615036 315194908 216962625 296441859 1000000000000000000 228102370 218382153 71332522 151850616 1000000000000000000 606638736 78859147 571404599 262931689 1000000000000000000 332316378 161063728 128873753 198319544 1000000000000000000 564439182 158453458 480318236 433302048 1000000000000000000 772754589 119687737 474215928 541013716 1000000000000000000 582115110 510194576 420779724 325478649 1000000000000000000 861467595 327137322 189774052 596945744 1000000000000000000 975592910 645885938 130545406 821114810 1000000000000000000 251469226 139237356 32331964 177847979 1000000000000000000 142214299 134339222 60066585 106900158 1000000000000000000 24006861 15335356 23737525 14114281 1000000000000000000 332715711 278551466 72821896 285920525 1000000000000000000 548785537 74091958 344771351 268096933 1000000000000000000 300722288 169379511 115806083 82962679 1000000000000000000 590172260 327484793 221976611 582260673 1000000000000000000 961388638 809201710 370358203 334634964 1000000000000000000 814649548 154021737 176217466 418265970 1000000000000000000 233225644 104465609 142031808 167157789 1000000000000000000 975155638 694106102 545068870 722350945 1000000000000000000 353482231 196571077 142874727 326950356 1000000000000000000 225847387 96370649 133487350 205268041 1000000000000000000 550505772 331502615 509701035 10894367 1000000000000000000 335264214 1821104 153858721 171949459 1000000000000000000 571670408 371270983 344576700 319628577 1000000000000000000 47471467 3537908 46385717 13012240 1000000000000000000 95022277 83002126 21372008 18007177 1000000000000000000 93388748 68745971 15412529 55593243 1000000000000000000 565167545 128650198 343113323 183066026 1000000000000000000 606121287 163693174 492211005 420962795 1000000000000000000 347023652 335820667 327096020 137867498 1000000000000000000 407371357 285466773 320545204 79095708 1000000000000000000 288503017 132714497 38948370 44396338 1000000000000000000 576513828 98769028 542799437 200455969 1000000000000000000 473092529 1074645 295003475 202820734 1000000000000000000 80421964 76254257 52539596 6935044 1000000000000000000 498777365 265029211 452409652 175809019 1000000000000000000 637040943 129067970 94093200 436362118 1000000000000000000 49089367 27388991 41845804 3613060 1000000000000000000 339466552 247003882 127274320 27549189 1000000000000000000 252532574 185988543 56769036 60865100 1000000000000000000 710130163 628146831 270113509 445633310 1000000000000000000 102742537 75336481 2798652 28451478 1000000000000000000 139641293 13797765 36830842 102902950 1000000000000000000 551693104 127558343 245256029 309368370 1000000000000000000 842946300 561484071 357665046 730070976 1000000000000000000 28130169 12974919 6105651 8240445 1000000000000000000 304015592 13459169 84424085 18071045 1000000000000000000 658120174 241562417 181121338 244593875 1000000000000000000 15010754 1562222 3208063 14754337 1000000000000000000 402315614 107796614 386421676 330338180 1000000000000000000 397785724 31506882 226466121 327649540 1000000000000000000 375665580 153331553 205331932 35275820 1000000000000000000 460866765 9056759 138450009 315627861 1000000000000000000 731629046 564062117 323546193 470619348 1000000000000000000 25929977 10200300 15880140 14661550 1000000000000000000 365459193 348706132 264135551 11176463 1000000000000000000 509596988 474239935 289616155 63668151 1000000000000000000 405266718 260480737 311523604 187998348 1000000000000000000 654464321 563796531 466057398 390584011 1000000000000000000 968303592 559053079 128886940 169074806 1000000000000000000 962960497 825503247 2841873 586341050 1000000000000000000 560912241 32665160 10440318 85988996 1000000000000000000 440846817 410736854 249043071 343358809 1000000000000000000 415793423 399667623 138097566 199347337 1000000000000000000 786939413 302928232 562798732 71937015 1000000000000000000 229873999 4045153 173674515 199578125 1000000000000000000 803099978 475200001 179538110 654904362 1000000000000000000 657690606 562766210 139388109 286440396 1000000000000000000 111708769 43531850 90755452 104215198 1000000000000000000 122850767 117857853 42481325 65553668 1000000000000000000 644292859 447808874 311438907 550832755 1000000000000000000 144385378 3583919 102466120 79511254 1000000000000000000 15605134 3553803 10892983 10849143 1000000000000000000 165802622 120698326 53410211 114830464 1000000000000000000 550184649 231733764 546271681 325303085 1000000000000000000 786248938 390183270 189879107 367689396 1000000000000000000 363748787 341268343 95169919 109818343 1000000000000000000 795795506 588287126 751090408 352478715 1000000000000000000 984342283 426748518 711967960 742317734 1000000000000000000 491552734 381741893 176027855 182965248 1000000000000000000 112123856 67316847 76666789 9784287 1000000000000000000 924555861 68638209 289556684 259543570 1000000000000000000 36157420 34575445 33098457 29259206 1000000000000000000 126554325 86402331 51748072 18771564 1000000000000000000 822607706 464897474 72786229 585199886 1000000000000000000 195657160 143368038 34388823 118035493 1000000000000000000 4092346 1725620 743986 1508231 1000000000000000000 456787904 332880180 346852987 266222346 1000000000000000000 909126743 84913187 758996571 111061780 1000000000000000000 664776186 205759862 522997483 533966812 1000000000000000000 469823516 151912714 144371444 262116833 1000000000000000000 18904126 721936 17809442 810727 1000000000000000000 731619050 187710591 425882785 395188864 1000000000000000000 416612183 296746174 240215028 347325361 1000000000000000000 449484952 373455062 183911914 360675364 1000000000000000000 31692968 1554952 10111717 15547968 1000000000000000000 242956231 145051894 49148908 76106453 1000000000000000000 907270434 373315175 837367407 484883248 1000000000000000000 898839706 514977186 781434643 860918994 1000000000000000000 231706526 118837338 93422016 184947814 1000000000000000000 60229943 58847423 29637990 40672109 1000000000000000000 48360732 40504492 14153591 2711110 1000000000000000000 171323689 96851330 80330911 8977308 1000000000000000000 854033566 24703016 844429364 491901844 1000000000000000000 69671520 44156225 54556713 58965413 1000000000000000000 885540080 9081180 509312728 384802268 1000000000000000000 321410825 4688682 19102154 195444464 1000000000000000000 68786869 27438114 15614378 7579793 1000000000000000000 640687492 603827372 170922840 165145405 1000000000000000000 184195389 62264905 128597052 23496913 1000000000000000000 607192897 2113442 236584296 594354195 1000000000000000000 234004798 30208619 52556394 166737166 1000000000000000000 147579369 24140255 59813960 94806517 1000000000000000000 639936606 305108661 614207480 83198785 1000000000000000000 348365448 233738927 228587966 122766216 1000000000000000000 38971917 14427019 1843835 9570205 1000000000000000000 418920112 179558144 74151691 358126070 1000000000000000000 48258844 27248163 4188372 42512280 1000000000000000000 822885296 783231297 296569237 263484833 1000000000000000000 443560345 66647662 345570347 345119074 1000000000000000000 189450831 96930246 160864489 925002 1000000000000000000 399931632 145351882 240632966 167458977 1000000000000000000 187116564 160187205 104207738 29490144 1000000000000000000 611413515 56382905 394268902 25353302 1000000000000000000 811551716 627295182 334429616 627307918 1000000000000000000 656511963 153435341 223518938 31575893 1000000000000000000 512796180 304293584 238747966 436052209 1000000000000000000 278777608 145195866 13855871 223356764 1000000000000000000 491216677 253577725 384694475 120401684 1000000000000000000 484287342 79907374 68807491 91834506 1000000000000000000 750013901 105909904 491916481 729511301 1000000000000000000 139681538 97748514 50050195 3012697 1000000000000000000 428111179 224877074 215224424 351848141 1000000000000000000 758389242 697927321 477995292 154441053 1000000000000000000 21285914 13065407 5853474 12742687 1000000000000000000 852583188 181824754 281516543 125981359 1000000000000000000 782528465 463350447 590334118 768958103 1000000000000000000 238751980 94150121 154566073 237374031 1000000000000000000 939960268 40661198 228284330 68737283 1000000000000000000 454103468 990810 79290848 252510006 1000000000000000000 692751959 675347827 494004684 255109969 1000000000000000000 580057756 400996612 546027780 12464539 1000000000000000000 695056801 395967642 281045485 669661681 1000000000000000000 171457789 87485103 112986789 152455673 1000000000000000000 217633371 6829895 203383707 87071525 1000000000000000000 923592518 479241382 740863352 160881113 1000000000000000000 644404784 113214402 185461278 591279374 1000000000000000000 599299770 542614517 7472797 450155592 1000000000000000000 975787958 480120113 163918457 519072787 1000000000000000000 48402156 44532776 28002320 24927751 1000000000000000000 12925309 1856123 8785295 2813138 1000000000000000000 163344265 80524944 58154331 78134704 1000000000000000000 725084254 114335584 160517168 110512845 1000000000000000000 607651537 80534008 562871745 317955508 1000000000000000000 664729181 215742145 317530280 642790333 1000000000000000000 673604783 321833664 42556843 114781882 1000000000000000000 506872084 409639273 203541378 374941497 1000000000000000000 941908004 465238756 839066618 532854450 1000000000000000000 742511961 584313687 11652474 136693604 1000000000000000000 956944199 321882098 269402986 476563546 1000000000000000000 143974460 6659633 37862623 101145696 1000000000000000000 589433781 256937842 230285749 527667397 1000000000000000000 506059343 407453559 24395525 146492263 1000000000000000000 222046795 82499770 131268145 75890168 1000000000000000000 725157905 540905865 402880390 314993123 1000000000000000000 472578831 256101658 197210392 191056534 1000000000000000000 306898144 80589510 69211189 180963264 1000000000000000000 839868500 128420949 535297347 285572919 1000000000000000000 549335383 8505847 321198141 29846953 1000000000000000000 384493994 25336533 69861154 122920317 1000000000000000000 409111951 64096702 108779310 355927303 1000000000000000000 474898592 375061091 304884254 170519156 1000000000000000000 882327811 740365795 135631013 611867967 1000000000000000000 918344340 348129913 524392012 339303009 1000000000000000000 164823824 30201192 137749029 98666723 1000000000000000000 603444070 235832198 295371019 419212218 1000000000000000000 965668129 266739247 440122405 201560217 1000000000000000000 936392405 865552174 236540880 585414771 1000000000000000000 289613355 136133185 192189989 153933223 1000000000000000000 360854007 67063569 221430472 209665475 1000000000000000000 989377642 779384627 504636339 682682948 1000000000000000000 100815101 38418253 91176243 24235246 1000000000000000000 254753198 64636440 142121121 97520944 1000000000000000000 47160387 8599422 16504253 23752957 1000000000000000000 30946997 18201972 9362900 20850704 1000000000000000000 382276757 25691673 218501393 134802214 1000000000000000000 114701521 71489225 98981048 113385690 1000000000000000000 190153103 103134865 41440813 96819712 1000000000000000000 844893352 323617643 791132049 201164071 1000000000000000000 139477242 3335906 86927809 16107390 1000000000000000000 453959277 194353247 28089794 430718488 1000000000000000000 325917184 192772337 3172641 317349494 1000000000000000000 584117290 327497540 122830924 57478517 1000000000000000000 329347892 191026372 96463467 186931955 1000000000000000000 866657391 153215104 258111759 478329638 1000000000000000000 223184080 209882288 135193750 38734015 1000000000000000000 990226030 906162907 459517673 351115775 1000000000000000000 803413295 578525893 783232401 634924554 1000000000000000000 195770355 153829638 136736124 42476511 1000000000000000000 742749954 64210415 538225447 90744239 1000000000000000000 441755902 368100753 395359917 147663604 1000000000000000000 180114511 154548860 47054155 47682412 1000000000000000000 387454957 33784526 44367891 255212523 1000000000000000000 866134214 733893110 462788042 655299677 1000000000000000000 158769703 18717223 39102566 66973504 1000000000000000000 180660663 18014167 152403425 57541972 1000000000000000000 249636395 202865251 26749800 236796340 1000000000000000000 770848462 214809129 578717072 291206463 1000000000000000000 697290194 563373940 459638672 593229485 1000000000000000000 343348659 210273179 248949047 134099348 1000000000000000000 13016089 1340751 7608381 886142 1000000000000000000 713689265 557871156 403262292 325090338 1000000000000000000 25252645 17631095 5278308 10393365 1000000000000000000 607229308 46265587 433695397 211716925 1000000000000000000 13146334 11587463 5678532 5915943 1000000000000000000 405954980 174952594 93012270 92989567 1000000000000000000 937985848 134240496 757190929 151628711 1000000000000000000 366833529 261718158 158685226 302324231 1000000000000000000 645515788 535225187 277500063 480647654 1000000000000000000 317733889 148213443 44559674 253820707 1000000000000000000 216389930 172190670 137556490 72783451 1000000000000000000 891885587 738093931 116406636 147055374 1000000000000000000 326603698 170341968 47875754 284685852 1000000000000000000 279168406 77317782 65396578 255829837 1000000000000000000 103838484 86905419 69797813 1839882 1000000000000000000 243351923 912399 223825497 228892511 1000000000000000000 261603186 204843311 148694183 216754931 1000000000000000000 2295872 1499220 886647 512284 1000000000000000000 711372078 141465779 320963125 327289488 1000000000000000000 769594444 31014177 371285269 620831854 1000000000000000000 476764991 232773507 410450759 383912911 1000000000000000000 697490081 393556543 429831652 598454372 1000000000000000000 619725272 566116937 22957595 303457260 1000000000000000000 569448552 432604875 505265220 17636122 1000000000000000000 9019288 3262318 8628289 8434399 1000000000000000000 582658540 173024145 435233338 187390998 1000000000000000000 320665738 115768695 274531733 295831910 1000000000000000000 697650711 404228909 581056687 17616336 1000000000000000000 295446859 123703142 275042197 82756197 1000000000000000000 578565062 51699867 94710887 296476138 1000000000000000000 477804382 8360731 171127454 316858288 1000000000000000000 151372171 120292267 72441417 83388514 1000000000000000000 202292216 80921265 46214672 196976704 1000000000000000000 54271153 49512675 50813809 521283 1000000000000000000 737699658 539272954 343770464 114922011 1000000000000000000 640299850 445811476 136985310 199994806 1000000000000000000 662413476 321416152 309337129 312148727 1000000000000000000 560142064 306402643 487438360 20251105 1000000000000000000 352781473 136414041 175541478 237555621 1000000000000000000 458066173 194370663 20195834 407540544 1000000000000000000 111749912 22024551 90276433 95862265 1000000000000000000 541318515 20037458 70637733 12538636 1000000000000000000 928581785 682528903 788763542 151873813 1000000000000000000 738835411 518824704 533958315 201103793 1000000000000000000 30934232 22896504 2750726 30461952 1000000000000000000 796882139 410793925 21346528 776819477 1000000000000000000 254178613 250931508 3526722 17098543 1000000000000000000 561469282 11774127 91843545 284399578 1000000000000000000 219673440 178696959 113118154 127242873 1000000000000000000 31815337 21946389 3351171 11897101 1000000000000000000 163720109 84522374 42003712 4646769 1000000000000000000 229680994 3397126 158499806 178116231 1000000000000000000 329800766 30472150 99249322 204789939 1000000000000000000 934655392 143958288 322349438 411652159 1000000000000000000 648289153 287824944 247913758 471748038 1000000000000000000 171050362 148391847 112873015 97049005 1000000000000000000 713603394 377251956 458944717 574196948 1000000000000000000 232844895 191762303 189626105 111357637 1000000000000000000 777146542 62902658 674721776 443910484 1000000000000000000 100371952 93500297 83770126 72035911 1000000000000000000 337575319 73100106 86842528 203148646 1000000000000000000 89659873 84598306 9548423 49169851 1000000000000000000 702822252 263828226 650230069 15366560 1000000000000000000 526223121 185338323 248112107 107844827 1000000000000000000 493709873 200746078 449131933 267906740 1000000000000000000 930097221 480897776 482070206 305924943 1000000000000000000 412516205 45030142 123839609 23629076 1000000000000000000 244521922 172316864 157397956 101989313 1000000000000000000 679640736 298662141 53646580 139238312 1000000000000000000 768882929 705310565 253886052 515334653 1000000000000000000 677810548 649013164 41599046 505731186 1000000000000000000 493845676 339686577 98212581 292898260 1000000000000000000 891308716 390063882 616538838 50754452 1000000000000000000 969141605 122675276 874718895 103512432 1000000000000000000 832019301 717852961 274394324 727857640 1000000000000000000 50592428 45174377 28906436 33813142 1000000000000000000 814150555 208735513 676511630 517774722 1000000000000000000 672859266 303330751 119582801 552360938 1000000000000000000 85418455 56789757 15158487 9866868 1000000000000000000 913704607 113123434 151905378 698907339 1000000000000000000 958561035 26984658 450704358 553277382 1000000000000000000 545207316 464220248 119360725 185161128 1000000000000000000 555560687 48979023 133417070 272592353 1000000000000000000 356925071 269068929 122920277 3890867 1000000000000000000 376179664 166147977 23818305 171483010 1000000000000000000 497525831 450638249 134272703 332815128 1000000000000000000 553879980 253932826 60902892 204750632 1000000000000000000 616060328 333333738 576088090 62300988 1000000000000000000 434070759 273376478 372876015 374052654 1000000000000000000 783624431 549928314 49672990 150733560 1000000000000000000 40345886 27905388 13299017 4145063 1000000000000000000 802559206 213225422 488962564 442390689 1000000000000000000 137659884 68625148 78067154 46008394 1000000000000000000 712667379 8433240 495750136 288320046 1000000000000000000 158785838 64460139 48248294 62970843 1000000000000000000 778066874 754276350 320744264 465111529 1000000000000000000 242715235 131605961 184384907 232563385 1000000000000000000 936273606 347567107 404323436 891842540 1000000000000000000 977207374 946427991 364038758 907912458 1000000000000000000 545379566 491597785 219464217 458900950 1000000000000000000 603493961 263073885 5360483 600351840 1000000000000000000 710872015 248787371 363453559 351604821 1000000000000000000 571052822 307733396 335439722 488246164 1000000000000000000 390139267 327441453 83075319 195511633 1000000000000000000 715751469 114565023 362646450 571186718 1000000000000000000 20109626 4492055 5844361 17114870 1000000000000000000 25615968 13681750 6332421 19275264 1000000000000000000 684393405 488214433 389998335 479374841 1000000000000000000 992623639 528085062 389923332 991884934 1000000000000000000 137154758 107870619 8292044 72926667 1000000000000000000 377275181 126023545 136505896 66255423 1000000000000000000 399696888 210087591 215956347 328259421 1000000000000000000 582368345 211748704 49917795 312312074 1000000000000000000 369841209 176413645 264790487 319179945 1000000000000000000 923449521 64207943 761875059 467179438 1000000000000000000 689599205 29865080 26257258 557207102 1000000000000000000 296342396 43993256 117703966 277356892 1000000000000000000 445537465 349975032 438694128 280851011 1000000000000000000 178105997 65975674 156565817 90590767 1000000000000000000 639729587 245948297 445244163 129111057 1000000000000000000 487201171 261293775 477691305 447724572 1000000000000000000 560486122 558981150 193217519 366357762 1000000000000000000 762350922 22579165 601418222 560753777 1000000000000000000 84721889 22337710 28903326 36931725 1000000000000000000 708820162 651159128 446594646 59708235 1000000000000000000 977343728 35137383 947553633 330999724 1000000000000000000 36344405 24637352 10559773 19502232 1000000000000000000 315394342 85637287 222816810 254910350 1000000000000000000 107917741 74513062 98243566 68599274 1000000000000000000 270201390 27914157 109247645 229692822 1000000000000000000 285756385 267709571 142697668 91340762 1000000000000000000 50262346 28274568 38952011 25625115 1000000000000000000 255285548 25495963 121100667 56898641 1000000000000000000 124598509 71701680 95936960 105225967 1000000000000000000 826645656 774397432 93757827 206337166 1000000000000000000 630925689 468734318 306056471 8927381 1000000000000000000 785389971 379128714 55327815 130596491 1000000000000000000 929638248 108821310 887572306 601721133 1000000000000000000 446582984 228784945 176489956 255746163 1000000000000000000 605381639 257216518 450852830 485049602 1000000000000000000 795600036 148441881 278273370 92209288 1000000000000000000 805750677 79607221 205764017 393511233 1000000000000000000 209510838 116805274 113329477 190876017 1000000000000000000 30853086 28578309 5279531 21170580 1000000000000000000 137883604 49065973 118182162 67225693 1000000000000000000 52920480 31873580 8050500 26731387 1000000000000000000 633797474 376130153 458521914 395638435 1000000000000000000 647030443 370963146 430133141 140955970 1000000000000000000 544030483 256956851 179172353 236693037 1000000000000000000 23954952 17892924 5566117 7069536 1000000000000000000 902110077 552029600 171969584 672441429 1000000000000000000 929371683 870729579 736486825 423752351 1000000000000000000 587067478 423841506 115037324 366586687 1000000000000000000 403772475 151295347 401145945 90871667 1000000000000000000 873873785 106670158 489624627 482407068 1000000000000000000 406735413 174455561 111604884 373841014 1000000000000000000 126658681 111007841 63965077 13740072 1000000000000000000 409371888 95347855 18577274 19140165 1000000000000000000 723731739 433514225 87357197 270242019 1000000000000000000 539053277 292524229 21618953 423745553 1000000000000000000 508302480 239451290 497635851 446294944 1000000000000000000 467610176 263673137 130300620 108773478 1000000000000000000 515313229 163010442 183734869 302408514 1000000000000000000 605565723 474822633 183970169 51900855 1000000000000000000 47318491 33461376 32339814 19035098 1000000000000000000 162135369 72835494 143551117 121743441 1000000000000000000 84164083 3732381 82925459 72183082 1000000000000000000 327016922 95117424 85592074 119648029 1000000000000000000 77632615 50504899 46826628 61328050 1000000000000000000 579979892 914621 377616078 561909934 1000000000000000000 630036321 207791856 33462799 137219836 1000000000000000000 591639653 188252364 151044431 195138230 1000000000000000000 775267276 165041655 108948323 436584386 1000000000000000000 256046677 156336861 221182439 252824234 1000000000000000000 336749506 335761065 279300224 196535702 1000000000000000000 485707833 121449835 140711114 380320752 1000000000000000000 968369933 635017280 623944332 231676490 1000000000000000000 247339897 17634951 225728534 133544138 1000000000000000000 189624605 100723797 149366521 94070291 1000000000000000000 373304638 178181794 151518366 17796163 1000000000000000000 848943622 151040596 577516399 65271036 1000000000000000000 830363980 218192330 304180105 15863804 1000000000000000000 277701940 134475868 244039323 264443177 1000000000000000000 202510421 75299185 178423157 120776398 1000000000000000000 554315654 371079673 302660667 42857668 1000000000000000000 434235963 91483726 12060520 402604770 1000000000000000000 486777603 485308788 56735579 124495172 1000000000000000000 149824143 136887057 138874239 115211712 1000000000000000000 898128669 486084396 529392510 453630494 1000000000000000000 258967839 102289687 18693158 55000711 1000000000000000000 464651870 407426685 383838050 301120294 1000000000000000000 685952563 597274116 318101835 52029696 1000000000000000000 287065282 183338583 30202371 176523676 1000000000000000000 629574271 89592585 543968614 168609989 1000000000000000000 714931667 72482613 466691351 480769614 1000000000000000000 849656086 344842967 606846662 715631227 1000000000000000000 555196872 104170681 75816281 54917250 1000000000000000000 727006249 190172564 32341474 699289465 1000000000000000000 516029394 20428593 21446035 259446170 1000000000000000000 686647318 258298084 165286289 226684760 1000000000000000000 25263577 420195 6076967 20878688 1000000000000000000 591748332 510937452 551487890 32080774 1000000000000000000 406602045 381653615 317595051 85565956 1000000000000000000 359484034 16308714 328178214 219384341 1000000000000000000 552984183 214432140 372488448 268481967 1000000000000000000 648862817 659004 188246559 233312238 1000000000000000000 30479583 28899080 16787126 14672182 1000000000000000000 977201214 609821779 541262457 927549143 1000000000000000000 811039331 534136490 554277218 747205335 1000000000000000000 933387010 439596720 178053928 102754079 1000000000000000000 640625570 204799973 32230002 166422420 1000000000000000000 82560751 2847721 77004091 11199626 1000000000000000000 677132079 278652238 624560479 349310071 1000000000000000000 155718211 101805353 121353962 24828675 1000000000000000000 745767599 314858540 41948000 147622084 1000000000000000000 829517344 549114225 386594662 187964090 1000000000000000000 118671476 68039139 51194235 99470549 1000000000000000000 209334740 152625523 122402944 201204334 1000000000000000000 262944289 247068603 29441294 231692748 1000000000000000000 972052431 43873399 337176571 923380495 1000000000000000000 232927868 178876684 206679038 197284836 1000000000000000000 301685246 241895700 218378555 194745264 1000000000000000000 8737398 1367520 3500926 940077 1000000000000000000 67753141 61547223 48501852 61389178 1000000000000000000 963680396 901130487 637317320 124562093 1000000000000000000 273644358 25111473 100114705 48115269 1000000000000000000 40012789 17147801 19470307 19090970 1000000000000000000 742281604 236031780 352002705 578597806 1000000000000000000 986712984 205641046 104543616 567634355 1000000000000000000 390088268 272470678 86808298 66606466 1000000000000000000 411494361 69115054 170243951 370080762 1000000000000000000 544884468 293898204 6884244 205219136 1000000000000000000 326376877 292064708 314615105 266025764 1000000000000000000 974377032 708643915 605184670 744258767 1000000000000000000 513155044 171330409 340045992 430792637 1000000000000000000 770088140 360282596 267092827 655842629 1000000000000000000 875557244 691278875 83248663 411054869 1000000000000000000 51862387 44002870 22675445 20267271 1000000000000000000 328576112 213010279 269666019 230125303 1000000000000000000 823287243 680107622 95586900 752656495 1000000000000000000 976921863 351182845 248227981 466895091 1000000000000000000 921399507 113735926 300114403 138562765 1000000000000000000 606743118 175502134 31442496 10872205 1000000000000000000 639796057 511229293 198021157 587456003 1000000000000000000 452063495 424213458 66679970 386423901 1000000000000000000 992833998 158659601 779932261 563433781 1000000000000000000 507794511 69901176 459364892 436910034 1000000000000000000 584089415 407785503 508680520 270821676 1000000000000000000 936564642 119009566 792122094 614292862 1000000000000000000 861904228 147020 688566946 808413529 1000000000000000000 322749936 147668115 117838337 182893532 1000000000000000000 710850634 556217593 168085315 695433883 1000000000000000000 362039323 201766532 347945594 332223567 1000000000000000000 19986672 2634957 18006124 19899577 1000000000000000000 201484104 96751605 186453029 75242889 1000000000000000000 855750573 615070366 642096992 400854819 1000000000000000000 505406305 52725566 184280893 75432816 1000000000000000000 699535266 671687255 230942528 86030375 1000000000000000000 301042003 25717042 98697031 15903723 1000000000000000000 835966037 142283648 491987308 409160476 1000000000000000000 123025602 104670291 82417029 77426400 1000000000000000000 961922490 559912446 560159420 545933172 1000000000000000000 629608260 358542409 368459192 29035957 1000000000000000000 677922628 474043152 671323099 437901237 1000000000000000000 134442324 100130878 49048252 52144538 1000000000000000000 848775968 47618018 338329419 658441736 1000000000000000000 179573620 95218243 26815659 163867608 1000000000000000000 562335658 263474083 365710731 204427547 1000000000000000000 346392153 246721656 31251299 12719128 1000000000000000000 678242826 553408313 53444278 599445499 1000000000000000000 338762806 173293610 123182986 272961828 1000000000000000000 69571340 61560059 1644819 54585285 1000000000000000000 815505430 166635004 289791268 271868739 1000000000000000000 468453313 272081161 16504028 411542017 1000000000000000000 272218710 125980014 75055854 47759575 1000000000000000000 901913084 875589519 82946401 815620193 1000000000000000000 984014421 2883687 541470925 95556332 1000000000000000000 502732170 399234526 315645668 100438155 1000000000000000000 599772068 12795851 429144214 537095039 1000000000000000000 584427280 168823897 497472572 488058797 1000000000000000000 560127908 7576161 136685670 122644339 1000000000000000000 117781235 84615217 40659194 27797220 1000000000000000000 414737277 191252467 390255452 171057363 1000000000000000000 714932656 235919691 96852743 521146049 1000000000000000000 205813842 178616329 184124500 202562283 1000000000000000000 306574263 121915812 169316580 115077638 1000000000000000000 845579351 123654431 787236738 778060663 1000000000000000000 858106227 781492208 603631436 374043623 1000000000000000000 965845307 645520062 19326042 667724685 1000000000000000000 33503602 2542679 33231787 32116524 1000000000000000000 143458242 34887083 27247695 2180488 1000000000000000000 553351925 549822480 19870925 485256982 1000000000000000000 179988393 117377553 16933792 174349854 1000000000000000000 432190193 280322932 42026102 112759623 1000000000000000000 953005892 276761969 676651540 61888845 1000000000000000000 410641435 292287802 108991236 168792994 1000000000000000000 241354720 155840402 90390325 172506553 1000000000000000000 904544008 871174021 13076387 655047492 1000000000000000000 994949917 825076022 911004342 548536260 1000000000000000000 209901648 68300789 181760638 779885 1000000000000000000 616194414 85049145 408598691 220644830 1000000000000000000 279177014 229222882 165292790 102575144 1000000000000000000 995673762 520367361 596366216 960866211 1000000000000000000 391836348 106561863 242006475 293864380 1000000000000000000 328243859 172917141 75087923 202226232 1000000000000000000 993592038 71766410 876847058 918974486 1000000000000000000 96574597 71840602 89794818 46222797 1000000000000000000 16934278 12904661 7619192 10159664 1000000000000000000 823859342 45465187 799849355 355922996 1000000000000000000 313852686 38132875 241336532 64815167 1000000000000000000 808094362 791379415 755471656 301509144 1000000000000000000 443581610 144985609 81609239 69401835 1000000000000000000 993361445 623736263 245484624 990841453 1000000000000000000 610097383 313366607 377217920 5426092 1000000000000000000 980386786 427153853 111295301 795525393 1000000000000000000 531704535 421173099 417516840 101422052 1000000000000000000 641116431 548391021 248459280 37856814 1000000000000000000 893781279 316013485 184179644 586374274 1000000000000000000 761425830 746382489 731341512 259612051 1000000000000000000 645142106 598188049 575254110 574830685 1000000000000000000 219499092 62162238 141712310 205810927 1000000000000000000 967150674 268329093 582230506 385748352 1000000000000000000 139178565 97031479 37016789 117947506 1000000000000000000 757809051 441546812 440330496 571045705 1000000000000000000 812397283 553060225 568604095 95057019 1000000000000000000 674745560 595280911 200029608 299632917 1000000000000000000 480348874 117537971 265900947 408243391 1000000000000000000 809851863 262884097 436213216 591680915 1000000000000000000 148154346 442691 5808909 3223680 1000000000000000000 979706771 842028825 379122419 232569223 1000000000000000000 137151466 86277233 74502805 79727876 1000000000000000000 866678177 715401396 560058244 190740950 1000000000000000000 971201931 222231141 133826553 70841847 1000000000000000000 829519834 470138444 819042069 149145189 1000000000000000000 907103100 689767186 528328307 504811078 1000000000000000000 691926515 347048308 111524887 442721569 1000000000000000000 832391992 267898439 818359330 234328057 1000000000000000000 952532133 491735204 546564194 702251062 1000000000000000000 302827074 148230171 147568434 216162827 1000000000000000000 664394933 584992551 227857211 132971957 1000000000000000000 204248950 55062664 143358352 115729741 1000000000000000000 789201084 384907383 729259888 366743589 1000000000000000000 330215272 59207123 95181783 303876218 1000000000000000000 142680257 46889845 116826227 131042794 1000000000000000000 75444747 59918519 20350598 32363438 1000000000000000000 486837826 209073575 260096591 271172539 1000000000000000000 813704407 364648218 812944187 489664880 1000000000000000000 159332123 115753507 29812751 88695042 1000000000000000000 722393114 633466745 422609677 673640456 1000000000000000000 21654549 21481176 5819632 10212081 1000000000000000000 329929165 162542638 305849916 45470914 1000000000000000000 623241347 313821647 149085687 196201229 1000000000000000000 854098008 402252629 680337450 296813465 1000000000000000000 42193058 27610549 12755343 10245178 1000000000000000000 990040853 663494198 752516321 470017883 1000000000000000000 846661066 835380991 291496043 264459865 1000000000000000000 248414681 200807234 14513414 36310605 1000000000000000000 688008629 211680768 337684948 253796486 1000000000000000000 602752136 497129189 479966441 92981265 1000000000000000000 436475909 218280265 275229329 164399418 1000000000000000000 289273780 286681388 234810445 210467964 1000000000000000000 752372581 56549418 367117743 469000207 1000000000000000000 65111783 27709579 28722263 63124322 1000000000000000000 540694150 448511531 397644533 411689943 1000000000000000000 339134380 179586959 97480455 46759068 1000000000000000000 95871300 58066899 69536382 89902557 1000000000000000000 728822134 491611106 501063458 309350485 1000000000000000000 515240266 369124699 404091851 314512785 1000000000000000000 19827420 15155155 2397720 16856885 1000000000000000000 451170987 49159583 349288321 283168958 1000000000000000000 406897343 169027489 172814032 319904945 1000000000000000000 966998607 145178018 686627994 331552757 1000000000000000000 725316711 260206622 289331201 459403334 1000000000000000000 542382592 536172206 82042104 508349357 1000000000000000000 35845520 35253085 17691185 14856724 1000000000000000000 940881646 235417434 496561091 514129666 1000000000000000000 120998214 34649846 2651113 45878311 1000000000000000000 61299589 22366310 34153016 48303431 1000000000000000000 894094441 304296912 551299980 572529873 1000000000000000000 462755856 346839048 22829949 181338383 1000000000000000000 37161965 31731040 24053455 28628039 1000000000000000000 401004219 134115386 35537023 232541017 1000000000000000000 461497049 460398547 92812431 200168600 1000000000000000000 568506444 559153855 44124420 435026238 1000000000000000000 278271799 9086903 130093728 244373498 1000000000000000000 10200995 4081966 5281735 5282877 1000000000000000000 951245963 327040634 172693797 221590139 1000000000000000000 261270224 93016546 36380175 117185844 1000000000000000000 307193596 64072546 3602463 13494518 1000000000000000000 137752898 15097928 31895015 47815423 1000000000000000000 363522331 24445736 247839919 222056370 1000000000000000000 63956041 29877474 12568216 264939 1000000000000000000 669619484 298298252 393631346 402757855 1000000000000000000 35699759 10396641 30458070 24680547 1000000000000000000 121507070 94352098 202607 118075561 1000000000000000000 191589290 141451150 169304961 112104099 1000000000000000000 242046226 28176840 21733345 236260933 1000000000000000000 580300178 203908993 319754163 444934808 1000000000000000000 863662689 659538567 853289604 708202176 1000000000000000000 84500433 27744379 1793664 15075520 1000000000000000000 741933035 661591361 249879325 531126930 1000000000000000000 337111526 157430314 216739092 324697459 1000000000000000000 176413903 130215448 51883400 48009151 1000000000000000000 555388221 76378468 202821584 202165502 1000000000000000000 608448567 440700399 142361109 542339031 1000000000000000000 806469914 206883398 311477607 569879524 1000000000000000000 555297276 374269795 317218491 352071078 1000000000000000000 953634641 514136532 325762115 115120729 1000000000000000000 455443403 293459513 252630608 8123914 1000000000000000000 981764026 2616783 521408469 198930238 1000000000000000000 848453959 218102917 189051683 108972237 1000000000000000000 974495429 734432354 356506407 393832772 1000000000000000000 363898822 240174525 192053853 196696531 1000000000000000000 33534564 459359 2617215 9659599 1000000000000000000 101876619 79089159 23506503 66917141 1000000000000000000 14953168 13613454 13488542 5278302 1000000000000000000 498780766 409603040 218084026 126041925 1000000000000000000 726629681 658732402 159662576 487419027 1000000000000000000 546587165 94913251 69780164 119356907 1000000000000000000 82921352 63408732 27076292 35239035 1000000000000000000 385500887 104400142 209890016 191380170 1000000000000000000 44513912 42175945 44149229 14380571 1000000000000000000 315238878 225518706 144767708 50943852 1000000000000000000 92567965 72124982 62602565 82779878 1000000000000000000 546031015 99823470 407054904 474978521 1000000000000000000 68616566 6160881 24360234 17656001 1000000000000000000 225046819 75150123 915542 12470542 1000000000000000000 832335482 560100506 38743874 531094163 1000000000000000000 36719663 21103526 36573026 36339274 1000000000000000000 221129325 203314942 198697549 34802583 1000000000000000000 274220534 84538652 105203405 103100746 1000000000000000000 584524820 274505950 137884695 122240166 1000000000000000000 146566624 60695516 144603377 15158594 1000000000000000000 131711109 60441289 128024952 120826840 1000000000000000000 539187943 414615755 47944722 537695593 1000000000000000000 941261207 804147897 318938737 644971896 1000000000000000000 92971575 84187472 34288505 66395535 1000000000000000000 945789981 409022399 517913283 868034769 1000000000000000000 583580840 51358901 129554874 530420028 1000000000000000000 814811618 263043526 721061049 155289409 1000000000000000000 270382055 203776042 243652323 251536634 1000000000000000000 278643809 263052672 223477778 196168482 1000000000000000000 599929126 208668703 519921204 491008110 1000000000000000000 642582120 638563181 49277608 117190263 1000000000000000000 92299429 43434603 34367559 37301159 1000000000000000000 784154458 536925586 41011762 131013828 1000000000000000000 895989535 70400819 105028106 894870184 1000000000000000000 157036583 33499467 20767343 39628318 1000000000000000000 24743809 11147703 17863543 22940706 1000000000000000000 395459577 294054384 271417161 120897721 1000000000000000000 677598862 435460874 573084909 150238838 1000000000000000000 649509960 259225817 438345340 543885790 1000000000000000000 839961804 791148528 372581274 149764415 1000000000000000000 571017182 237960219 63624814 388650767 1000000000000000000 814721257 241140639 357817190 368749402 1000000000000000000 609944359 472450600 325222020 555104329 1000000000000000000 542379116 152961787 129118845 349629025 1000000000000000000 730938631 214570031 560700726 59428277 1000000000000000000 878968540 789634211 84883204 262582802 1000000000000000000 740106848 40417568 9257290 736467157 1000000000000000000 70960321 45510809 10567468 32968745 1000000000000000000 535854641 271487133 292116844 13645483 1000000000000000000 199562810 57938463 97330743 86983987 1000000000000000000 185799696 174806467 124955215 2406832 1000000000000000000 582288887 121043268 469925217 480942511 1000000000000000000 508098035 192783113 254235084 474670865 1000000000000000000 319246913 210228645 23461488 60491069 1000000000000000000 845039697 484618652 705522881 254571506 1000000000000000000 900793665 535062329 811040343 195512947 1000000000000000000 358449966 111981209 211802945 258762668 1000000000000000000 732603666 14754025 212785628 253439110 1000000000000000000 147297602 85536620 80769510 120115122 1000000000000000000 316954053 58427061 172746920 150571887 1000000000000000000 395483793 161160044 108802239 19344376 1000000000000000000 41947033 7022718 28997064 571944 1000000000000000000 354020267 87174948 315611417 69825642 1000000000000000000 453475634 71684615 137153063 103168809 1000000000000000000 158208563 43699258 92849871 119652184 1000000000000000000 530046281 411251669 47156574 423336768 1000000000000000000 849651045 780147228 175027413 256329727 1000000000000000000 318901428 166216002 268810493 14945009 1000000000000000000 895164564 236036069 846912140 113114243 1000000000000000000 490834383 376307210 183449947 423821872 1000000000000000000 505215248 338634842 448388633 139657101 1000000000000000000 38454337 5843644 36042432 23751807 1000000000000000000 902832722 641896062 204789976 583739238 1000000000000000000 691111473 228533111 149160174 358949173 1000000000000000000 916238378 347781684 719837782 651676239 1000000000000000000 774860562 223597796 372482741 475679302 1000000000000000000 941759618 876472465 355338312 66369979 1000000000000000000 876070463 447451791 541996831 827412132 1000000000000000000 950442375 593035371 625528750 874217473 1000000000000000000 310482109 197943641 286083172 135789756 1000000000000000000 441275873 215410746 25141229 2535 1000000000000000000 770438143 467776553 211314351 315812006 1000000000000000000 454545189 173844890 200608393 247658886 1000000000000000000 297446768 294547145 254178123 69609174 1000000000000000000 752631292 466496164 246665606 509847334 1000000000000000000 910866351 671938269 785974137 580841759 1000000000000000000 264888988 159297342 13151315 170606432 1000000000000000000 730566282 159373437 620684314 509654999 1000000000000000000 393942064 285025696 144934895 147364902 1000000000000000000 605070848 312558398 129682466 365072483 1000000000000000000 484842416 301306753 205512279 392879685 1000000000000000000 19233515 9050223 776106 15899371 1000000000000000000 452927449 243739028 238534295 19137004 1000000000000000000 340610371 24428115 187446702 34591258 1000000000000000000 591194989 299922029 358274194 59571773 1000000000000000000 662874347 38850593 270985588 560075767 1000000000000000000 77230498 15704843 24606764 30229106 1000000000000000000 485203833 188152631 394855810 35916173 1000000000000000000 221638302 193771692 170603404 172485503 1000000000000000000 309402474 294658719 306194965 39767667 1000000000000000000 665315871 258175320 11797194 273212963 1000000000000000000 631635667 494757040 222131047 275253908 1000000000000000000 786992002 414369523 86780923 414342440 1000000000000000000 428060329 64069289 59533847 64167911 1000000000000000000 621490202 359993944 381158238 602388758 1000000000000000000 130775946 88169286 97256801 19278696 1000000000000000000 196453468 34743906 24497251 146394397 1000000000000000000 256114182 124886103 255632843 83640051 1000000000000000000 298010806 20409620 4024473 155010491 1000000000000000000 138168463 25435565 23320960 31883111 1000000000000000000 257245914 52989671 95686993 150266519 1000000000000000000 454005320 174897532 417898508 96219051 1000000000000000000 687135503 149159601 590651581 426886061 1000000000000000000 44524880 41788249 25772567 6855343 1000000000000000000 905699647 679551230 616610688 264464449 1000000000000000000 391548468 151478865 48166333 341513366 1000000000000000000 930325658 853470600 338638573 913743180 1000000000000000000 549963696 515009693 511970051 425922133 1000000000000000000 720290486 347308053 510115583 331099365 1000000000000000000 509752054 122994098 504401463 152067896 1000000000000000000 827979996 658520566 182576626 441160251 1000000000000000000 638189413 527143649 236865857 390169706 1000000000000000000 469553999 301105221 294732288 282543767 1000000000000000000 964144051 506098063 907805006 112024888 1000000000000000000 689783135 107142953 172758476 37466884 1000000000000000000 669253004 627210581 582278245 137590479 1000000000000000000 697316620 525588413 62488879 507170996 1000000000000000000 753785085 78985475 443957567 605847657 1000000000000000000 868746104 522176217 391207474 402908476 1000000000000000000 320858234 17449969 313996073 143175703 1000000000000000000 214327735 182291738 112001447 36281023 1000000000000000000 71263356 14972123 44996774 2184721 1000000000000000000 819978152 481245842 578314083 703636554 1000000000000000000 381102846 11548872 235332080 122738894 1000000000000000000 128798632 42012049 105193678 113759967 1000000000000000000 992277866 626753651 230757703 565363827 1000000000000000000 446461892 232383923 316807880 1288504 1000000000000000000 788156254 315902176 115143195 413080638 1000000000000000000 396850537 381700934 266838943 242089645 1000000000000000000 311235631 140035791 171301980 128401356 1000000000000000000 219082054 93255759 162515973 101298884 1000000000000000000 327902140 109675103 102643653 293864205 1000000000000000000 206836801 191188534 155356729 163070769 1000000000000000000 781208283 230269426 443645893 460977797 1000000000000000000 361956121 262425722 202750786 188101519 1000000000000000000 398872359 381219681 339286420 169546017 1000000000000000000 131394489 69553891 45804022 115241230 1000000000000000000 158855728 126409014 149987524 134592442 1000000000000000000 448032791 330199368 97691758 173795321 1000000000000000000 548541844 148603329 42067331 123295641 1000000000000000000 160517108 108104521 112752635 126672838 1000000000000000000 871163307 102869280 184550703 10672006 1000000000000000000 921320737 295048856 444207823 882653616 1000000000000000000 633079188 57608822 328650479 367665155 1000000000000000000 281289931 143071819 107162651 99237255 1000000000000000000 730084300 366852866 28168891 608342197 1000000000000000000 21957823 18239431 15540746 9912898 1000000000000000000 280638444 229760354 201246062 38228139 1000000000000000000 255485233 96026470 131467574 72039892 1000000000000000000 997602119 451908681 82704497 837261855 1000000000000000000 36077247 16772175 3457166 35902735 1000000000000000000 119958215 104863904 17043505 49631489 1000000000000000000 60620231 27461879 22255184 36956543 1000000000000000000 144908829 128294848 57376110 143571108 1000000000000000000 899889173 502571388 258597609 893484155 1000000000000000000 362828955 289794192 64638345 163274222 1000000000000000000 605320795 198592894 12598192 400041059 1000000000000000000 817382378 521852991 238307170 619079027 1000000000000000000 22590582 17563103 19434725 7162564 1000000000000000000 397575211 342521223 978134 371548210 1000000000000000000 819129925 166447622 622106152 342987298 1000000000000000000 144138506 73750496 70277332 45557067 1000000000000000000 608954889 512549657 554683752 114902897 1000000000000000000 315076597 98333159 55056423 12652423 1000000000000000000 537538134 306593395 115493009 331881827 1000000000000000000 894710306 824182546 820621918 185868125 1000000000000000000 604022498 185702726 336893611 218836971 1000000000000000000 649246388 369736952 136644554 56431293 1000000000000000000 106118238 98418882 20394111 49706054 1000000000000000000 94333207 24159067 27234526 8623513 1000000000000000000 942523145 742871358 592065079 657199410 1000000000000000000 825802028 331888904 275581291 514097940 1000000000000000000 669665977 439775314 254725285 135083222 1000000000000000000 652850065 246161589 82740146 537983639 1000000000000000000 278547566 263427203 88732010 272538671 1000000000000000000 127887947 56216948 76263089 42939477 1000000000000000000 913298605 663351880 417208489 644413417 1000000000000000000 232222219 228328660 175497123 195074071 1000000000000000000 700342815 236759162 361409515 499530807 1000000000000000000 886024380 448902554 867553203 322817360 1000000000000000000 23919540 8271234 10006546 6112744 1000000000000000000 511383189 319685353 319356064 104992694 1000000000000000000 433963647 12024162 12857325 66652442 1000000000000000000 688200533 606265206 37229170 111337989 1000000000000000000 456362652 337144766 76714622 447841429 1000000000000000000 356302798 304532318 146888523 141154908 1000000000000000000 98408652 3863646 33498345 52685049 1000000000000000000 974836813 71448022 956887069 797327358 1000000000000000000 276461024 135891079 136163331 46613089 1000000000000000000 424344189 283296242 287106540 112369572 1000000000000000000 41137056 37372608 30353595 3881261 1000000000000000000 581692927 527436138 75508963 16102596 1000000000000000000 211956009 80027134 96008162 188329963 1000000000000000000 58621147 24976271 2523514 9546331 1000000000000000000 465463227 370519857 260615263 35545935 1000000000000000000 770844400 101360656 676739763 414515493 1000000000000000000 58629290 32693276 2726789 7419527 1000000000000000000 93186836 54237798 12870932 16519220 1000000000000000000 734103805 105307469 474452540 246191230 1000000000000000000 262701315 107240288 59519157 215072215 1000000000000000000 471487092 55268651 415002687 259555813 1000000000000000000 321337998 1547419 65850597 106298258 1000000000000000000 761271851 478743445 760249106 160245219 1000000000000000000 437554680 52385724 421315438 334027531 1000000000000000000 249838978 15825971 185853272 71029346 1000000000000000000 909998796 658179154 527982616 74857882 1000000000000000000 989287011 270966984 710431133 104931674 1000000000000000000 749035091 637543792 611461705 515407865 1000000000000000000 408364807 307209825 309934417 123502490 1000000000000000000 945263908 554038657 201657438 587566863 1000000000000000000 141141288 123279252 77709061 13942889 1000000000000000000 373572137 365824727 207699669 234743694 1000000000000000000 451991007 138803116 121476199 150843784 1000000000000000000 507371825 88357604 411051558 95854217 1000000000000000000 659302158 372332401 321301169 314556679 1000000000000000000 83440830 56574173 16145956 12214197 1000000000000000000 605792812 534332069 124049888 281467033 1000000000000000000 563178625 173729180 513087348 77499310 1000000000000000000 270012976 200888292 252047077 69208617 1000000000000000000 975266261 679555398 359751152 7799357 1000000000000000000 11716887 4745041 2381111 3635888 1000000000000000000 694928025 673129977 605596207 618395662 1000000000000000000 307731207 106359881 11788656 189650018 1000000000000000000 761460199 238847208 723492256 315667681 1000000000000000000 523136881 19203086 479934769 258809507 1000000000000000000 172528730 137145707 136991313 7215003 1000000000000000000 409704241 42168094 332338143 46869533 1000000000000000000 651671472 217925331 159556057 367467528 1000000000000000000 351131260 118010838 40112546 240236457 1000000000000000000 841958590 327715454 806256140 176242638 1000000000000000000 357174958 258782723 30853830 69569573 1000000000000000000 439975253 111833581 162613072 132805244 1000000000000000000 71605158 63745590 7944825 25610365 1000000000000000000 320225820 39296687 243707636 41892670 1000000000000000000 522870439 378749591 499680857 456554996 1000000000000000000 105630291 29621842 4710000 13011718 1000000000000000000 37962200 34173827 27041523 26900525 1000000000000000000 156803356 133086229 67752617 85680620 1000000000000000000 94550629 45851581 46586926 54705930 1000000000000000000 311230980 113291788 142107642 76820981 1000000000000000000 32729530 8485962 15407936 11260449 1000000000000000000 94997559 52159999 19016421 52900601 1000000000000000000 685475342 606441593 474056087 461904422 1000000000000000000 517626728 300181808 440284412 267890444 1000000000000000000 656650356 376077467 275088433 32383840 1000000000000000000 236720983 22098049 204257075 58997263 1000000000000000000 250342093 4013251 234624522 181156704 1000000000000000000 496348166 203489650 470059443 228768776 1000000000000000000 959275051 188812898 839925852 118929310 1000000000000000000 715562866 4158131 607049404 357582506 1000000000000000000 926047850 312070028 286424294 924074513 1000000000000000000 306752322 194690797 62325734 269866228 1000000000000000000 181836941 127695085 174106314 134889770 1000000000000000000 277511049 200035714 53272000 209621103 1000000000000000000 793766386 313063765 324511117 55022853 1000000000000000000 914247574 326468889 282535567 648363241 1000000000000000000 659231421 359638942 151803332 407985323 1000000000000000000 137230071 117941574 15849108 111253568 1000000000000000000 529742647 93790893 247063993 35502571 1000000000000000000 986765003 340552153 761847261 739242462 1000000000000000000 385562115 149057872 210498209 330619615 1000000000000000000 675517577 561557279 38320707 293407664 1000000000000000000 243071154 44834936 41977481 113904245 1000000000000000000 406210012 297707839 105527914 309762971 1000000000000000000 265655866 30198243 209226775 259956721 1000000000000000000 809005557 535554932 230589305 113066146 1000000000000000000 929730271 502768124 760407029 772354671 1000000000000000000 864090387 831452128 779563979 152009719 1000000000000000000 757048951 459767529 385988044 264546511 1000000000000000000 593481166 167683326 380727019 391225325 1000000000000000000 536407998 24113315 395081443 6499332 1000000000000000000 270441955 247417462 146751186 167147265 1000000000000000000 926548322 894417736 695182829 461434166 1000000000000000000 581847599 31582578 259091552 538223732 1000000000000000000 544811655 38386805 293793040 339557461 1000000000000000000 707323059 461682083 689800826 651463512 1000000000000000000 580425287 71269277 27551008 481132565 1000000000000000000 737425359 185382953 160309518 716697963 1000000000000000000 704309339 442335703 100647098 607362989 1000000000000000000 742865647 309409981 116237346 164408272 1000000000000000000 373843316 360778014 230912588 126474354 1000000000000000000 500284237 4117571 275919850 169770995 1000000000000000000 783465279 422433111 436551443 194906320 1000000000000000000 844357522 755002037 390736562 286411091 1000000000000000000 119213123 54681190 41593669 43927996 1000000000000000000 103116973 4449039 72284443 73834389 1000000000000000000 174939654 3016046 135968578 114147475 1000000000000000000 682994075 474589194 414061576 388724244 1000000000000000000 702368735 545027433 197602687 496465858 1000000000000000000 266092475 59112761 82853187 224723123 1000000000000000000 536906419 307247395 188487562 343243782 1000000000000000000 565482044 107648404 210837391 428872816 1000000000000000000 867231293 14625880 155342035 147024053 1000000000000000000 529444641 49123677 342591342 527711547 1000000000000000000 246638006 122419086 227434224 86551492 1000000000000000000 668968159 413590174 255049693 379886711 1000000000000000000 140474057 136071099 7230369 77391900 1000000000000000000 290374234 132207996 16162861 259735410 1000000000000000000 974705240 739015184 830214566 359911526 1000000000000000000 666786250 154194707 445593922 276730947 1000000000000000000 711952390 295397933 335353702 448796821 1000000000000000000 180173716 114500455 73645212 108548693 1000000000000000000 852822686 133297903 722998421 689392556 1000000000000000000 676743349 622277599 24419218 315490420 1000000000000000000 924022084 57294650 621164366 471136762 1000000000000000000 352287846 311347463 86617445 10007224 1000000000000000000 994207421 114269511 913220592 458684111 1000000000000000000 57436658 10573839 101818 4233973 1000000000000000000 755274906 72259489 262414796 753315614 1000000000000000000 496454473 38654067 193690258 63589997 1000000000000000000 63093599 24355282 26918337 30735514 1000000000000000000 808700041 669599389 66287994 49692476 1000000000000000000 878757590 381474657 789250232 630960049 1000000000000000000 262825753 75437664 3507088 23256229 1000000000000000000 40464744 39658842 12575226 8972084 1000000000000000000 135852828 15296054 110655651 15701664 1000000000000000000 542390256 312880804 353043069 411254197 1000000000000000000 615612255 34259116 551957502 221001009 1000000000000000000 329661771 95841465 280896945 82957200 1000000000000000000 376207193 215203549 84369567 267840049 1000000000000000000 910248157 336717932 198128972 231761969 1000000000000000000 378186033 289772460 12579427 369417589 1000000000000000000 724589176 310620579 567716386 301777218 1000000000000000000 835608151 761057392 752753915 178368247 1000000000000000000 748026352 250558305 489671911 223676073 1000000000000000000 174048354 58720875 54556043 157978287 1000000000000000000 231285701 24677224 132761305 221463696 1000000000000000000 584594120 103878601 527603937 288634637 1000000000000000000 551743584 112623822 194469107 24009302 1000000000000000000 135814247 7054889 82392394 76679353 1000000000000000000 830241040 371326784 772223395 289626632 1000000000000000000 838621916 486277507 434247550 816804369 1000000000000000000 190301537 19717733 93841537 160512607 1000000000000000000 986488215 477361624 263623833 567130624 1000000000000000000 381094940 125297120 299326488 115453012 1000000000000000000 123992498 11462661 101047191 71434952 1000000000000000000 221479520 188216223 103172639 141761857 1000000000000000000 27428359 17027378 16872643 13447346 1000000000000000000 901721226 348272960 797684144 353717810 1000000000000000000 453828646 388116012 250444055 440107299 1000000000000000000 265639476 118149503 72675887 13884590 1000000000000000000 432128544 301826066 159263046 281543633 1000000000000000000 134315195 125371082 123893344 51871130 1000000000000000000 894766760 232518839 305719563 277536255 1000000000000000000 851125737 821452250 496920532 545527274 1000000000000000000 735930925 221347471 69766405 637321500 1000000000000000000 907606074 781898666 850755442 515294506 1000000000000000000 563962724 536994700 46658529 120557902 1000000000000000000 426523846 185619908 272130409 397669058 1000000000000000000 578460149 285584880 426020119 451222891 1000000000000000000 569253404 378482727 509764140 304201252 1000000000000000000 720142581 49047269 608729617 144424002 1000000000000000000 854810842 746271892 741028961 17076798 1000000000000000000 97498280 66262365 89271838 47755500 1000000000000000000 738053982 640614820 594159778 558224655 1000000000000000000 673161193 291846068 231715904 48148910 1000000000000000000 345758433 133422347 297364647 1421247 1000000000000000000 780726123 708333751 233885850 350627586 1000000000000000000 12712626 6425457 68391 8764242 1000000000000000000 533836023 406043153 192028941 501458782 1000000000000000000 893801123 749278486 570652159 824886593 1000000000000000000 520822264 367867785 150976786 355449750 1000000000000000000 277766688 46419332 224629765 109650229 1000000000000000000 155404054 4958232 103347224 55730822 1000000000000000000 922893673 373142035 436921629 389248411 1000000000000000000 768055445 197604201 735313655 565348373 1000000000000000000 529255492 88062706 84075068 272946540 1000000000000000000 630483266 42046555 603239932 132545598 1000000000000000000 594196585 435487636 90401339 43240568 1000000000000000000 196280727 3861470 107226240 68927496 1000000000000000000 554493212 270660397 311133352 226877807 1000000000000000000 332378933 197080353 264607503 67172840 1000000000000000000 431601636 51164620 3514787 23255856 1000000000000000000 73987701 19190668 16968344 23148082 1000000000000000000 643373417 350991868 461488884 447101295 1000000000000000000 39827335 8733649 28390497 7860044 1000000000000000000 189823321 37340374 40042305 7114339 1000000000000000000 799210822 545737802 178595373 711493078 1000000000000000000 680007927 556704737 352160354 61974860 1000000000000000000 871528718 553265758 690326609 793263049 1000000000000000000 68151185 34515415 66607260 60819075 1000000000000000000 267966651 114514046 143731676 84142903 1000000000000000000 52257882 29199367 5961988 46407978 1000000000000000000 184772217 82145512 123423281 110639291 1000000000000000000 734831182 417287598 445985722 313664386 1000000000000000000 415047941 66843518 403345013 367623586 1000000000000000000 334040413 231155394 297743690 48229382 1000000000000000000 768883254 240510406 180879914 383185815 1000000000000000000 68521084 7844017 4718426 58335689 1000000000000000000 60635783 23104361 59305539 46195469 1000000000000000000 409232363 60225115 233058434 333422925 1000000000000000000 963043301 865049893 50861842 75780459 1000000000000000000 675126663 231286754 37759632 80354861 1000000000000000000 134189288 18862809 86060241 35316475 1000000000000000000 176581654 162725140 114542046 138740295 1000000000000000000 137107244 70471926 8411554 36633331 1000000000000000000 443432742 360443991 10410789 437455848 1000000000000000000 16856757 12893276 10928679 11647454 1000000000000000000 426523902 90730677 205669310 17521170 1000000000000000000 181733670 81524263 178984936 141680400 1000000000000000000 884609739 541848863 602982512 304044513 1000000000000000000 356936349 316380839 91293614 332172682 1000000000000000000 537697609 413730034 171219575 512076442 1000000000000000000 960576760 476579171 64607173 375390630 1000000000000000000 420692489 335620820 131428404 71250496 1000000000000000000 281201429 89837219 150346157 261305324 1000000000000000000 925102473 875517654 912151056 335977161 1000000000000000000 612950037 455971378 591009219 535409837 1000000000000000000 260919246 25183568 8117010 102930270 1000000000000000000 797684860 419998649 201498148 462745316 1000000000000000000 139985813 7392574 130457448 80527097 1000000000000000000 829591792 246028547 737217857 594793456 1000000000000000000 675125946 274532074 541836220 151335470 1000000000000000000 496853999 261399969 163776664 45390196 1000000000000000000 448276288 184353688 313869523 197825344 1000000000000000000 182979737 34473725 67740885 173596526 1000000000000000000 629686494 296158819 554936693 492248685 1000000000000000000 851130018 786454269 311000439 461145148 1000000000000000000 441288286 85554724 290643635 124325344 1000000000000000000 868633575 562194513 662676717 542872104 1000000000000000000 22248980 760503 9483383 21082905 1000000000000000000 204171857 140963890 16681620 149397605 1000000000000000000 113298845 101590465 90770708 26453094 1000000000000000000 149723135 113572320 31206790 16557677 1000000000000000000 376491903 39772954 256271811 44385443 1000000000000000000 58655194 26471363 32001749 21600135 1000000000000000000 326886281 29828538 81433069 70476860 1000000000000000000 694084957 166967569 202239845 315701219 1000000000000000000 969183882 300937118 607178096 264289933 1000000000000000000 887323579 53172585 854157995 586047784 1000000000000000000 448472053 254079283 221603834 302480935 1000000000000000000 445715316 44944393 2566580 215389700 1000000000000000000 140987542 10826547 86661422 135783259 1000000000000000000 879616181 826430131 578735320 289472749 1000000000000000000 90033772 27555275 63616689 34235888 1000000000000000000 271028256 247423824 240736430 226504050 1000000000000000000 575561774 407072592 563979092 464884766 1000000000000000000 307339671 192964839 7790344 154521299 1000000000000000000 954772350 904105022 637211452 908691238 1000000000000000000 705951160 585202797 656727265 38217923 1000000000000000000 717806554 284946252 64497704 543825564 1000000000000000000 440059461 149637075 356150017 342276727 1000000000000000000 546855348 340806350 247294643 494589055 1000000000000000000 159244549 111782477 64737370 21886602 1000000000000000000 753110096 145974689 367155159 128556297 1000000000000000000 4999943 428918 3321545 4510348 1000000000000000000 178360403 32481382 41449756 87708249 1000000000000000000 383151848 342512880 332335975 43576422 1000000000000000000 384258927 52591995 313523486 256921559 1000000000000000000 490564020 23668163 2124314 385115925 1000000000000000000 45439571 40656314 15856618 31815936 1000000000000000000 749815060 40493261 294006601 94525348 1000000000000000000 715750625 228977265 641262536 611830634 1000000000000000000 121358500 52176073 114145921 38385305 1000000000000000000 277193582 89462347 233397246 29552168 1000000000000000000 220164567 208676309 183335726 113396242 1000000000000000000 928976765 131647170 577533723 580261552 1000000000000000000 65876027 58730254 30603918 2812460 1000000000000000000 220259454 82428560 104045066 28167748 1000000000000000000 734628271 683092299 615814835 658801750 1000000000000000000 832910316 394506265 564684904 724869580 1000000000000000000 944269741 104251986 662278102 621239559 1000000000000000000 865780478 841288732 618619359 417100753 1000000000000000000 413114996 100345843 205754751 341357845 1000000000000000000 146841510 73444593 96521183 134342027 1000000000000000000 61245104 37828956 14127071 49648064 1000000000000000000 652463166 546114956 138510339 9852661 1000000000000000000 774179188 581739112 414899030 287573567 1000000000000000000 496373089 180539003 485668495 327424002 1000000000000000000 30569030 20993535 6143375 25775045 1000000000000000000 709529234 88400894 209530857 451168905 1000000000000000000 326640976 173400100 207174640 77193834 1000000000000000000 386104331 25570966 74796060 74743496 1000000000000000000 900449392 511985229 707888917 168397816 1000000000000000000 563031775 213104228 421195368 164218238 1000000000000000000 904746365 358056724 172218126 313609272 1000000000000000000 816555971 31107450 653586816 459375106 1000000000000000000 142598957 56327189 115122094 47339925 1000000000000000000 487211177 428747462 15903463 458849206 1000000000000000000 847849926 12770740 606300195 333339462 1000000000000000000 157672449 137844601 74065786 89957329 1000000000000000000 869297878 565603114 777917232 29463514 1000000000000000000 870497585 409966478 402722427 527769528 1000000000000000000 360045868 237948328 116203168 80515662 1000000000000000000 748116932 681126620 677907862 224869480 1000000000000000000 21587351 6625144 474821 1534471 1000000000000000000 608797639 499873854 283794181 85133802 1000000000000000000 854471199 288137891 490805968 316723397 1000000000000000000 134231539 110587039 82239506 8782367 1000000000000000000 813917321 281125565 648180009 715564303 1000000000000000000 283231556 262328684 17059510 37639704 1000000000000000000 737276353 311536700 89988083 731055741 1000000000000000000 202984805 74460273 48183535 133538615 1000000000000000000 252714067 186579677 242396678 90253872 1000000000000000000 177857920 61986272 147731415 145947917 1000000000000000000 143565001 3795760 126899822 55005332 1000000000000000000 457876366 347224112 286445622 153951242 1000000000000000000 402795101 222645391 153464062 75699607 1000000000000000000 258948649 211984864 150821770 76033014 1000000000000000000 489296504 443276605 410857323 229090855 1000000000000000000 493768914 457436903 177666525 176666554 1000000000000000000 825177914 5968857 510357019 535859475 1000000000000000000 359939449 239913938 165259808 333118131 1000000000000000000 324923239 208179825 140347252 61302448 1000000000000000000 890542545 393063721 133082989 58595640 1000000000000000000 577984834 325900436 230491757 556831152 1000000000000000000 802766943 504433826 63142326 562318075 1000000000000000000 921736649 727854827 919880916 136512497 1000000000000000000 308856406 13913274 30395884 207346819 1000000000000000000 542492068 54238797 191378348 169889900 1000000000000000000 154160811 129297514 102531805 46586256 1000000000000000000 701892465 3077333 599955096 296448765 1000000000000000000 772834509 675491168 654862803 341411118 1000000000000000000 714688876 638836202 642538478 350952391 1000000000000000000 107433199 56377059 77172235 105249173 1000000000000000000 309620030 199759789 7870529 19454333 1000000000000000000 945690801 903474803 26198339 635055463 1000000000000000000 497714771 42601611 457794189 365408348 1000000000000000000 920328625 745143559 889828537 284860149 1000000000000000000 702575976 160153884 536832285 122275782 1000000000000000000 484607670 224603865 56493532 253444035 1000000000000000000 59826184 50561379 4758339 26511947 1000000000000000000 832906841 23902618 780161574 390418639 1000000000000000000 588571376 410549269 255520233 392563929 1000000000000000000 820490572 306915612 69335785 354902082 1000000000000000000 956140233 385939526 389877131 29837800 1000000000000000000 447304223 227721290 358427733 281693692 1000000000000000000 650545014 362244602 385067943 371437395 1000000000000000000 347415677 81648956 51972523 118365590 1000000000000000000 511811281 420106855 155090565 15195601 1000000000000000000 302010895 117976033 272420930 182364001 1000000000000000000 460502436 441352662 175739148 248804871 1000000000000000000 251003684 106713217 31825152 42535714 1000000000000000000 666477896 344991957 219807903 516267874 1000000000000000000 427987178 250679013 129316812 16832789 1000000000000000000 622991388 207365046 565136983 294270424 1000000000000000000 709536414 608985601 59297230 82676068 1000000000000000000 102760753 27301408 29506036 35742052 1000000000000000000 343936064 210654596 204851145 181232122 1000000000000000000 564643420 315338918 94027464 468256898 1000000000000000000 146834363 20284827 58433595 48499145 1000000000000000000 916724157 315773364 778126651 820504190 1000000000000000000 801516804 322521370 91431750 467434353 1000000000000000000 321353667 47537913 7626464 162777653 1000000000000000000 974453095 12684674 221919633 452801584 1000000000000000000 476616526 204585425 328604759 306756280 1000000000000000000 865447833 830488276 669180060 123088566 1000000000000000000 121029778 99392219 25400148 26753809 1000000000000000000 658736439 442700923 72227693 356521832 1000000000000000000 626081176 510843475 219815001 164405398 1000000000000000000 819996641 197005526 119226735 592693162 1000000000000000000 534587506 311203689 51763014 531598667 1000000000000000000 766469125 37353355 420074601 425818639 1000000000000000000 171418036 126437307 93007682 144147123 1000000000000000000 338160510 53539798 274578226 299008324 1000000000000000000 155369003 146333583 133639758 34999593 1000000000000000000 869679106 714901629 120882858 45461985 1000000000000000000 12530344 7952130 6861745 1912650 1000000000000000000 338562596 59961197 157208355 20291637 1000000000000000000 155151813 128690269 146415554 60429460 1000000000000000000 234091369 109729516 219979521 163404399 1000000000000000000 314983960 270166732 169312218 219151827 1000000000000000000 454580553 306089661 32044780 136035295 1000000000000000000 797972113 177973779 571650700 77238654 1000000000000000000 667648082 579282941 282382186 528789664 1000000000000000000 279672047 196235014 168226947 168754655 1000000000000000000 648402872 353766598 6907529 48923329 1000000000000000000 492671734 54085905 128546433 417079522 1000000000000000000 890415842 9891707 351569766 487657242 1000000000000000000 624854824 265370829 142171583 460282123 1000000000000000000 819562312 176525114 209383940 148709066 1000000000000000000 257291781 228710740 60306379 115063427 1000000000000000000 477169986 153937908 294408173 235872928 1000000000000000000 398658243 181081448 83878879 161761377 1000000000000000000 373645825 208812841 175283383 140347226 1000000000000000000 185762466 35338068 43834874 86814683 1000000000000000000 370215007 166076389 26721170 325692104 1000000000000000000 331729933 60999530 256180338 284301417 1000000000000000000 720710456 160554427 239700732 323485320 1000000000000000000 413082108 243447280 276297201 5209601 1000000000000000000 874835437 262430647 134275364 451582199 1000000000000000000 235359488 170508220 224062486 142432419 1000000000000000000 942200477 206557073 761975132 683142256 1000000000000000000 168591594 123343435 70807896 152060657 1000000000000000000 226684834 129584920 59570884 50143390 1000000000000000000 186098346 89860715 185879406 172422479 1000000000000000000 291163847 253029644 130838838 86146418 1000000000000000000 597429802 2690112 168118431 175225315 1000000000000000000 120889107 98034448 17466140 42601039 1000000000000000000 337283875 125485399 152744789 314465792 1000000000000000000 75019990 59733044 37118676 45107314 1000000000000000000 712984102 203983206 505892910 190866339 1000000000000000000 820515316 129741602 766169779 167680357 1000000000000000000 652330620 616110546 400123909 609661756 1000000000000000000 277556954 67410740 173867414 32081040 1000000000000000000 530767241 256689538 210125520 357865483 1000000000000000000 99981985 46924178 96666799 65585051 1000000000000000000 682642549 207236989 391105233 597437208 1000000000000000000 558597850 549025298 189946039 271104552 1000000000000000000 342851369 2003708 193161224 279767917 1000000000000000000 371146224 131073642 186562220 357479791 1000000000000000000 211016086 120572387 175036229 144214397 1000000000000000000 506161421 260237925 102184101 295500168 1000000000000000000 332360848 26895369 3960576 137654884 1000000000000000000 269515207 118614175 237876306 137407464 1000000000000000000 888269783 657002670 389073139 118027516 1000000000000000000 952857140 360091075 938591854 489994017 1000000000000000000 639411595 555699814 578948498 525206065 1000000000000000000 55968685 33037706 48366940 40366163 1000000000000000000 901857245 551186000 213172425 360435702 1000000000000000000 614636237 49883652 240207886 431373215 1000000000000000000 873077925 787731797 602979454 579043689 1000000000000000000 376884498 357606691 186853862 146218850 1000000000000000000 752804783 263251940 109729325 450900077 1000000000000000000 615610069 526242204 145735948 446380839 1000000000000000000 722718910 679829534 440691069 628910348 1000000000000000000 664153295 28530960 307340687 67546706 1000000000000000000 378925742 253437372 101266545 79629389 1000000000000000000 810695583 44381082 231287090 458928274 1000000000000000000 506090842 409247133 415987973 62222909 1000000000000000000 401135626 272518944 124123941 33165616 1000000000000000000 744395962 288734318 108254605 625133763 1000000000000000000 11317578 3695300 2237948 7800672 1000000000000000000 14947197 555696 5477961 9942682 1000000000000000000 249575057 145297122 157723586 26827795 1000000000000000000 876259904 169205715 250030485 472191897 1000000000000000000 160986392 112935249 89479710 18892029 1000000000000000000 560756467 501091494 341602106 263744012 1000000000000000000 391995320 101888218 15508835 23541400 1000000000000000000 914556892 578339733 731743745 108982753 1000000000000000000 618009761 227008539 108937074 524323696 1000000000000000000 986624618 553372148 134473815 790923258 1000000000000000000 224968751 217472407 207352823 33639719 1000000000000000000 311006703 305532678 283048486 135431202 1000000000000000000 645462490 437422396 322670485 479200109 1000000000000000000 896959518 824684263 530657164 275197060 1000000000000000000 699805641 679169146 228034138 268912513 1000000000000000000 429509193 227447521 363632877 142773454 1000000000000000000 915698328 509873539 543880208 168795647 1000000000000000000 41703927 34603043 11709903 30685877 1000000000000000000 658623839 221137203 420830695 14637498 1000000000000000000 199431299 57914363 111129665 146505958 1000000000000000000 291772798 95313449 196628907 163122785 1000000000000000000 772846153 371923918 295327913 224033345 1000000000000000000 530523353 406678663 390717334 98807126 1000000000000000000 104234958 30444890 53525642 14425582 1000000000000000000 724494904 532986032 60745682 426170047 1000000000000000000 556323276 333036373 254213714 436920597 1000000000000000000 978539571 948970905 759740026 952834797 1000000000000000000 165138034 153394414 95117028 112879903 1000000000000000000 136304524 126329544 115379872 42232393 1000000000000000000 761346732 576091303 483622160 198058722 1000000000000000000 82323327 76722158 44467466 81184494 1000000000000000000 59853481 19548623 4781906 20554655 1000000000000000000 420778677 153588410 243042397 224415696 1000000000000000000 512547849 246965458 486290091 329362556 1000000000000000000 496875069 52555577 300322036 8598912 1000000000000000000 957540324 452036484 462239088 247689354 1000000000000000000 9768693 748238 619284 2048482 1000000000000000000 220481762 83276074 209358262 51170999 1000000000000000000 766239351 349492044 119635090 613378423 1000000000000000000 500507628 307479313 39970051 335697397 1000000000000000000 379477059 204109539 206504719 47337830 1000000000000000000 332948982 96246693 196030245 125236925 1000000000000000000 246087646 94403032 21057756 179509638 1000000000000000000 308884316 296073892 214307716 100504445 1000000000000000000 495802330 364919528 219525138 83817641 1000000000000000000 45198559 7861785 24233830 8256129 1000000000000000000 343506547 156311234 34625655 17282122 1000000000000000000 90956380 66136442 42434604 56364755 1000000000000000000 58250116 5708544 45741941 7525338 1000000000000000000 603429378 72451029 371161628 450571687 1000000000000000000 763840962 380007714 333460501 83958663 1000000000000000000 705637462 509107061 623430692 170955902 1000000000000000000 217405002 213855602 135104265 180707436 1000000000000000000 964496369 335695131 47573395 211853488 1000000000000000000 141215804 9608098 29382507 131187888 1000000000000000000 837623552 799615674 697194346 331752116 1000000000000000000 202886654 34019086 69703311 165819462 1000000000000000000 643096808 636722650 278946748 52433554 1000000000000000000 428292343 142003126 85058745 287994600 1000000000000000000 293398164 54430225 14787128 266308431 1000000000000000000 622360165 536880478 261175964 410867399 1000000000000000000 854637782 815304247 446648578 61178693 1000000000000000000 417411384 415132092 411677594 276530014 1000000000000000000 814993002 175048242 758893235 687676336 1000000000000000000 76848621 65075649 48523965 46789396 1000000000000000000 823712296 499343894 735399063 341105678 1000000000000000000 273262792 190957843 7673810 266759891 1000000000000000000 559200751 448787306 155216305 534610886 1000000000000000000 538624511 33514629 485591056 421719515 1000000000000000000 359801000 92014557 846452 53623813 1000000000000000000 306090556 105888046 103364870 183489816 1000000000000000000 88593963 70926110 2319042 75841567 1000000000000000000 354814773 164405258 136482788 97673661 1000000000000000000 464792993 260743009 268043353 108204860 1000000000000000000 4244525 3990827 1610586 1234770 1000000000000000000 561654297 187941327 293002605 177052676 1000000000000000000 870665719 317793671 108644485 54546375 1000000000000000000 235553118 116988992 146932184 211844078 1000000000000000000 978119499 659918305 24994295 372771173 1000000000000000000 2770987 2501119 4215 131598 1000000000000000000 138913993 18499363 75512345 59610843 1000000000000000000 984126898 434990787 283819060 418550703 1000000000000000000 210998628 36112129 168482784 89556020 1000000000000000000 743528798 558527554 226407301 138719449 1000000000000000000 46442071 34103098 11154927 11949448 1000000000000000000 23337763 4693522 3948442 267115 1000000000000000000 735840270 126072736 682052455 21474162 1000000000000000000 114605024 27909964 14569614 15609698 1000000000000000000 167301387 64125755 142266300 121187071 1000000000000000000 805513485 172274392 68396116 363630829 1000000000000000000 745742003 498922983 34732634 452362745 1000000000000000000 597973893 1546526 37655207 588062843 1000000000000000000 941495399 697844821 588760025 646999514 1000000000000000000 902226753 359058682 220786516 325169473 1000000000000000000 204248580 171965832 166782252 183337159 1000000000000000000 885060388 267335865 869146410 546298243 1000000000000000000 901851082 652686144 396859065 149851164 1000000000000000000 8427423 4606165 81729 5225848 1000000000000000000 868532915 728428282 843448670 430935268 1000000000000000000 294547473 249800911 234092749 74954175 1000000000000000000 586388767 71093422 374276591 510654400 1000000000000000000 554212679 275905170 197910043 417293749 1000000000000000000 588584841 5180432 362488166 336968019 1000000000000000000 578396606 250965464 126893688 539355958 1000000000000000000 665272847 436766301 481346053 280969089 1000000000000000000 537414866 51825147 77544731 350292493 1000000000000000000 909489497 786237962 296326241 620650167 1000000000000000000 577436938 353946267 510654624 12535519 1000000000000000000 674045637 276021465 553765397 522044343 1000000000000000000 52171804 51765140 12960988 34012326 1000000000000000000 347036821 276011468 247388190 286260881 1000000000000000000 144120316 74832800 125069214 63268036 1000000000000000000 565820798 176666469 260382015 333261208 1000000000000000000 864394943 7550037 133501341 200864714 1000000000000000000 370536677 276331295 190788538 231805377 1000000000000000000 925041705 372217480 633622455 588708599 1000000000000000000 117580222 52582379 30166463 8575611 1000000000000000000 671321283 305587122 388969435 518797325 1000000000000000000 986131947 463272295 568389377 789270001 1000000000000000000 539100275 208690651 429281449 518207142 1000000000000000000 530247664 443935949 313174138 134536177 1000000000000000000 931648597 39883477 424673719 167742807 1000000000000000000 570739558 183123108 116945250 494962226 1000000000000000000 988541063 353791496 400767629 394191798 1000000000000000000 56785648 47388764 40269212 50811106 1000000000000000000 645198858 137861504 469206942 164999502 1000000000000000000 158688460 4007231 91159463 140420380 1000000000000000000 200192862 140441106 177206537 61876188 1000000000000000000 400626970 377490209 381649403 236429003 1000000000000000000 490592908 40890063 250313372 173904590 1000000000000000000 381623581 57569279 66859536 180280993 1000000000000000000 703590697 626953468 186534131 77123399 1000000000000000000 663045616 202332814 334544735 288458559 1000000000000000000 482218438 74521894 131702734 346600552 1000000000000000000 38206574 37340211 26027887 22292316 1000000000000000000 420192433 302688102 410701113 165954529 1000000000000000000 916241300 792679399 83180397 509927180 1000000000000000000 18755443 14800963 16054405 9164450 1000000000000000000 954164115 708418842 34027975 315111507 1000000000000000000 108694073 33153900 65483059 68823629 1000000000000000000 213034686 179482162 86352162 159151656 1000000000000000000 968731106 276716129 521672232 878268835 1000000000000000000 243638813 31498373 112931670 37284261 1000000000000000000 169259501 9509639 148245821 30798873 1000000000000000000 672471888 169955133 288584942 35998296 1000000000000000000 553450200 316100477 13315103 53088168 1000000000000000000 317876039 118953699 259191541 288113781 1000000000000000000 372062728 235125537 198049755 175102304 1000000000000000000 765894081 345821701 435455617 605106229 1000000000000000000 468695592 202223412 254270650 354117283 1000000000000000000 736503655 38614257 371400926 691265713 1000000000000000000 627905792 331852556 534042354 297736921 1000000000000000000 990029797 338693358 702934705 698379374 1000000000000000000 482718121 311328155 116357225 3504735 1000000000000000000 763248037 456787155 678352643 630397555 1000000000000000000 128462788 60580910 106338380 92649296 1000000000000000000 466389171 460841876 148322739 465639110 1000000000000000000 99920100 38769858 57813480 1468579 1000000000000000000 643195520 141259922 68188209 274297805 1000000000000000000 274829867 119108772 29935014 8830063 1000000000000000000 232844909 205032348 223356429 97615876 1000000000000000000 40397117 9417867 38860473 19272370 1000000000000000000 633339134 541216490 121472402 144591455 1000000000000000000 964026631 925911186 604571866 523430608 1000000000000000000 480841333 474449341 389802171 116236269 1000000000000000000 769027348 388872231 500068579 334384086 1000000000000000000 254558763 154894224 243378349 198242433 1000000000000000000 417461171 152470432 84628344 166653866 1000000000000000000 617512366 474655097 57834264 29271675 1000000000000000000 665864690 237716367 614278538 614549824 1000000000000000000 339786212 120892155 243644408 264317541 1000000000000000000 963230481 354114523 476028269 770678579 1000000000000000000 451594779 263212241 189106964 405680787 1000000000000000000 487106992 338117487 278172959 484047096 1000000000000000000 247327319 59177736 133428450 91076120 1000000000000000000 672975934 84304907 663920804 128684023 1000000000000000000 852163369 632949132 640954172 740326353 1000000000000000000 971503463 259827100 593156644 627407727 1000000000000000000 340958119 257663079 48062582 177003056 1000000000000000000 929000641 754868685 394616623 891974053 1000000000000000000 674080356 603699817 246401758 463658805 1000000000000000000 892154913 135518967 292498102 65105829 1000000000000000000 193044431 58126871 10790183 118387206 1000000000000000000 847643884 406165298 189288686 448128490 1000000000000000000 396435628 115845224 379542624 53256855 1000000000000000000 772967262 12500513 220978741 368404811 1000000000000000000 283997033 80329918 206128269 194319698 1000000000000000000 129625412 12005994 16667367 75900212 1000000000000000000 410169769 219167362 310566279 365835616 1000000000000000000 419365679 382483581 344416239 233628383 1000000000000000000 582747981 500570127 20746289 125003250 1000000000000000000 51417368 30995233 19495233 48441183 1000000000000000000 593543772 109836678 84107665 526200747 1000000000000000000 768367711 360713199 237802989 428081005 1000000000000000000 819988481 71679637 730597302 328691020 1000000000000000000 553370559 230091187 514200002 522187708 1000000000000000000 110580012 28993428 26220063 75378705 1000000000000000000 962982421 183302731 494557767 113056267 1000000000000000000 565347411 35801917 63210268 94666546 1000000000000000000 961328960 129302836 42478986 788414899 1000000000000000000 389903197 39497054 190591010 89572017 1000000000000000000 409803612 291193051 202938853 375895805 1000000000000000000 813214817 723183780 156508893 451107232 1000000000000000000 763800957 567558765 253276245 448050556 1000000000000000000 637441985 553495976 552676000 23030227 1000000000000000000 492865939 91855588 184836389 433270372 1000000000000000000 716098352 212121849 639210036 689737684 1000000000000000000 888194598 702811782 680981284 369412242 1000000000000000000 995872348 931078966 519423186 437160185 1000000000000000000 96775289 73807743 95675880 86960149 1000000000000000000 710048596 649073824 708619487 445378250 1000000000000000000 475377864 206074644 258201618 345201058 1000000000000000000 50625029 7512484 5694204 4599389 1000000000000000000 883576027 540828319 709598120 479948685 1000000000000000000 398356033 243508660 184362490 6964346 1000000000000000000 655960300 629610780 12445058 405565224 1000000000000000000 721213659 218992127 189699942 344556177 1000000000000000000 648584305 289787061 599096484 217109619 1000000000000000000 218056192 175850746 70358642 74822110 1000000000000000000 382766054 159672426 205431483 74358154 1000000000000000000 778172179 41808302 412940659 681832266 1000000000000000000 242661657 153946094 58343448 3018177 1000000000000000000 429589552 20967413 202770250 211772459 1000000000000000000 660014904 31534264 500476915 95554817 1000000000000000000 615770705 35083693 201441586 588106740 1000000000000000000 467485949 307282237 180276333 145168284 1000000000000000000 994170963 801275356 171505382 334013726 1000000000000000000 719545976 297511357 562552274 119205941 1000000000000000000 432886581 31760838 184511687 78602828 1000000000000000000 480986249 138241704 59298439 161059495 1000000000000000000 321348817 108085794 1065479 187011782 1000000000000000000 284338043 254053779 206366149 129978030 1000000000000000000 53600464 35248014 51336931 39060063 1000000000000000000 470742338 291779244 332371897 266238704 1000000000000000000 269961509 61725538 178673158 70314389 1000000000000000000 45584287 43486525 7924338 8658721 1000000000000000000 228146044 103594588 41532305 95550871 1000000000000000000 839250163 740533340 633996938 656589840 1000000000000000000 282182728 86094614 276951909 206282319 1000000000000000000 224518313 157474375 199836130 190173859 1000000000000000000 993846942 792274019 297910930 289684769 1000000000000000000 282334764 267460082 50812980 159643784 1000000000000000000 244098533 132615153 230747643 189683369 1000000000000000000 539338553 243727680 243140367 10682161 1000000000000000000 373488306 162372877 326333774 182809380 1000000000000000000 572675086 189379722 431475409 533962832 1000000000000000000 92881345 32468901 42852857 69633933 1000000000000000000 128409070 71949975 78625413 332847 1000000000000000000 419513468 402761267 198069345 175976894 1000000000000000000 513819463 252305496 25504650 298907594 1000000000000000000 731935595 83886671 261804263 674297878 1000000000000000000 713768312 532838983 522765388 576947496 1000000000000000000 262670420 230338760 78179208 64149501 1000000000000000000 701034330 32235749 652908752 201115323 1000000000000000000 185100916 84931544 65874853 101095564 1000000000000000000 309146873 130670606 138088065 35555508 1000000000000000000 347007632 61534391 293054716 329283479 1000000000000000000 470267716 141391127 231894845 456728925 1000000000000000000 588237843 129354327 425111641 327488445 1000000000000000000 311212136 30471990 271565114 268400122 1000000000000000000 97009193 61488066 95200583 82745854 1000000000000000000 524403767 227224516 8596975 244032263 1000000000000000000 540918539 315531907 403125555 83404261 1000000000000000000 898333022 1443654 872983536 178206480 1000000000000000000 502865509 421766702 103180822 287454863 1000000000000000000 947894729 557448111 340554975 697184237 1000000000000000000 133254942 69233379 9024422 119462737 1000000000000000000 182282759 170341124 162776182 146984793 1000000000000000000 826359255 71208992 660420031 64040076 1000000000000000000 878290493 655424290 702454216 262645349 1000000000000000000 254684080 62075207 87826825 183254574 1000000000000000000 608640004 550918912 89997166 87890439 1000000000000000000 956673087 281505325 184982107 422855616 1000000000000000000 746014780 672232274 421211828 36678020 1000000000000000000 642661918 21775712 28030397 551857363 1000000000000000000 426123456 15234878 58083433 115072284 1000000000000000000 785091263 395015960 662602324 293271237 1000000000000000000 181235640 107205998 135340270 145270069 1000000000000000000 558608667 101925757 113546171 264787226 1000000000000000000 36600356 20807879 7865835 22750531 1000000000000000000 261691245 208068772 90539014 40568239 1000000000000000000 972948481 667189529 302527985 47505657 1000000000000000000 231583476 134254124 209601022 171834359 1000000000000000000 47497359 41389187 597936 23521682 1000000000000000000 325464904 181011172 295721990 16419178 1000000000000000000 255565148 160302336 65240467 1013728 1000000000000000000 371978866 183257965 116276235 81333639 1000000000000000000 412575360 355550578 232662425 51590147 1000000000000000000 85336165 20221568 84016163 67553428 1000000000000000000 449568206 84296929 21770014 183151599 1000000000000000000 535339781 175799300 90103283 150230044 1000000000000000000 218830309 133465800 102151098 150463192 1000000000000000000 995655719 350834919 15356770 144970083 1000000000000000000 264880841 184357631 245385494 102241592 1000000000000000000 441104267 239336012 200366885 350970205 1000000000000000000 644787860 294644780 619457396 449624653 1000000000000000000 356492691 198757519 291386670 276969266 1000000000000000000 958189973 661902013 157313119 534816675 1000000000000000000 191795765 22428137 59024378 33465096 1000000000000000000 989433522 806148995 473280195 928474493 1000000000000000000 47094274 3921278 20584416 40223303 1000000000000000000 658299687 69848107 438304875 625905471 1000000000000000000 342235681 193228668 1448961 166860605 1000000000000000000 540619087 160380015 18903146 178627801 1000000000000000000 37107351 25829639 9299507 34465993 1000000000000000000 744331859 148397564 274828651 258555145 1000000000000000000 919534563 624856037 321746854 802975464 1000000000000000000 384562358 127356920 207510845 233530369 1000000000000000000 419986017 260000463 343742097 89056429 1000000000000000000 654240852 122204361 232829940 604847175 1000000000000000000 775367431 389505888 740868675 677337596 1000000000000000000 180118005 56831933 145031183 33391290 1000000000000000000 206536956 153517062 107608059 78447820 1000000000000000000 852144126 197199543 27368329 246660513 1000000000000000000 559879540 509804781 498234102 518509077 1000000000000000000 527145396 43825308 468409917 115470904 1000000000000000000 423831282 224219541 364618933 53947880 1000000000000000000 545142366 493688338 65055841 108937268 1000000000000000000 671317896 550027806 316911822 372971110 1000000000000000000 11264302 169217 8554694 2332957 1000000000000000000 568436193 172273073 107444192 239918141 1000000000000000000 977515644 873249360 74197166 653811873 1000000000000000000 679492232 83358913 303222601 283600695 1000000000000000000 656254336 128180989 487958365 567490920 1000000000000000000 790157261 209197744 328942127 560757992 1000000000000000000 539180219 52030358 334681395 503784103 1000000000000000000 316598347 141370782 60232272 176831618 1000000000000000000 91494523 12232094 20677655 33557046 1000000000000000000 151055334 40736788 20750980 94103427 1000000000000000000 142109946 23615559 52061655 35566320 1000000000000000000 51019630 47778677 31807702 38758064 1000000000000000000 669834219 258214713 526072094 414453139 1000000000000000000 101709326 21489196 67416939 57649200 1000000000000000000 214592369 93440513 74247545 95374985 1000000000000000000 436180999 79861908 287968180 5101654 1000000000000000000 996407476 889214934 78009360 691005828 1000000000000000000 764539826 646087914 402322659 106443284 1000000000000000000 398566321 269333039 341366286 56010939 1000000000000000000 986739320 706756779 637347571 703252856 1000000000000000000 989318628 75261329 487750092 168453626 1000000000000000000 432676588 425295632 311865155 110073824 1000000000000000000 456430803 344007160 200092321 157106670 1000000000000000000 891417329 495399426 219775394 579994330 1000000000000000000 861356045 535018606 577458907 584908581 1000000000000000000 436522574 133905546 37057525 11920169 1000000000000000000 554967214 365435618 548940604 541204473 1000000000000000000 287354902 121379302 206773784 253147107 1000000000000000000 533557792 164788988 226111932 453817104 1000000000000000000 923243191 605060492 584411602 797601777 1000000000000000000 714131227 472038832 499618579 86614383 1000000000000000000 465397818 137675492 455859918 378082159 1000000000000000000 158169374 92371484 149417267 108208410 1000000000000000000 140078333 134903447 14710938 79140833 1000000000000000000 105249157 57183676 57699769 73686362 1000000000000000000 10019014 4870189 3638870 764150 1000000000000000000 373302711 316526888 365752397 2671086 1000000000000000000 656698445 290577385 161793716 506470894 1000000000000000000 660182946 469562045 531525180 9391974 1000000000000000000 918802316 915770177 530389177 737335265 1000000000000000000 472039240 114430616 309986960 235790552 1000000000000000000 267005239 121826888 243407811 130350166 1000000000000000000 923408286 147617006 385279698 463579287 1000000000000000000 586062208 468297555 487824764 500419948 1000000000000000000 905067592 868085020 491103759 774142738 1000000000000000000 38301149 7437790 5391242 34933746 1000000000000000000 651880246 67732355 206821073 564586824 1000000000000000000 118113074 71582833 35735015 62255795 1000000000000000000 681619281 493521223 498368085 14900519 1000000000000000000 23122657 16377886 7216094 6899890 1000000000000000000 577962180 338655642 441708917 175341179 1000000000000000000 310933804 28486407 243605894 129967693 1000000000000000000 288055536 256566704 232183326 105767017 1000000000000000000 264765343 150084638 225407639 99399676 1000000000000000000 300908681 73837128 125868620 23641100 1000000000000000000 536039735 83372235 23472126 183221554 1000000000000000000 115714888 30600249 32169255 16718904 1000000000000000000 750243363 619175326 446071680 322127251 1000000000000000000 509382264 406571217 319363941 182749630 1000000000000000000 89554601 78332589 57650725 35437429 1000000000000000000 2071858 1196448 255526 615174 1000000000000000000 733386498 516784859 356829373 560919299 1000000000000000000 850260221 678537733 634087380 836129208 1000000000000000000 386420746 179492797 52173517 361390372 1000000000000000000 99809204 4664643 68377188 68262742 1000000000000000000 896222895 254993927 677697915 879119190 1000000000000000000 579738206 317814982 88646991 105457973 1000000000000000000 468306347 344153995 343597779 115204839 1000000000000000000 599482202 410158562 280367376 338057676 1000000000000000000 641808472 430746870 11350521 13516805 1000000000000000000 514362345 346133410 356006571 442549943 1000000000000000000 625499359 415488443 468256680 91906314 1000000000000000000 396784589 366257838 68277808 376162874 1000000000000000000 141244767 133888774 38096932 130466334 1000000000000000000 32571879 4065088 17631258 24889861 1000000000000000000 963630678 230681814 649521452 485886091 1000000000000000000 21993937 8441614 10275095 6812397 1000000000000000000 598786040 499549450 443310990 597564778 1000000000000000000 356844194 105792127 84382690 46646580 1000000000000000000 470875930 224102744 26236159 198823990 1000000000000000000 916432700 200333636 776148610 238705717 1000000000000000000 171115494 122174663 111912794 97972234 1000000000000000000 897181787 757596854 386646269 329020421 1000000000000000000 667068070 593415797 167971001 424406713 1000000000000000000 755991277 270249964 288975596 236205048 1000000000000000000 981117899 559085467 287831007 917339550 1000000000000000000 329009985 288749983 201599419 326965405 1000000000000000000 391848186 109900225 239920214 52259714 1000000000000000000 637700829 409156520 177780390 34599671 1000000000000000000 599368123 378304511 284907203 215753405 1000000000000000000 619020500 487089987 457811023 124742687 1000000000000000000 881461831 221489158 578884478 739781317 1000000000000000000 630841564 495994725 341173177 25952692 1000000000000000000 984736471 755652201 718414315 302595680 1000000000000000000 822375997 617258687 95543607 539252257 1000000000000000000 86314903 72221990 86123677 28335076 1000000000000000000 233365754 190377146 61369989 223139477 1000000000000000000 972559809 131061300 136738835 680556353 1000000000000000000 867356091 625024502 202633980 313137306 1000000000000000000 828457397 519719742 111764075 576246424 1000000000000000000 883444787 108257115 869112562 184355732 1000000000000000000 777459208 419060771 238542027 87497884 1000000000000000000 833177824 682743680 554088078 650897933 1000000000000000000 583773264 397461165 297225712 371226165 1000000000000000000 118313920 104776731 67922945 116013308 1000000000000000000 169652854 43051015 2879764 72812869 1000000000000000000 807737532 756841049 356801649 419662121 1000000000000000000 752854456 540732845 250374940 324297513 1000000000000000000 982554354 405712923 214796964 292702202 1000000000000000000 734933961 398164999 283597396 51893620 1000000000000000000 961184007 914792694 275071470 689996422 1000000000000000000 308760780 268155513 138348088 62421745 1000000000000000000 943934082 460050825 730900141 523205960 1000000000000000000 216507338 187710430 136050550 216317340 1000000000000000000 460834133 7721886 268516058 153529627 1000000000000000000 361153443 61102869 88591991 351382821 1000000000000000000 903457695 781671286 271995756 463028963 1000000000000000000 113567427 2944055 50865367 103825566 1000000000000000000 262350869 121059270 223257301 192179683 1000000000000000000 544330049 118762060 345713505 229387626 1000000000000000000 30448389 17321393 12970587 4505389 1000000000000000000 876067106 813406996 616782946 363108875 1000000000000000000 774966600 761669496 513805028 618973436 1000000000000000000 618302610 227452552 307128040 280403743 1000000000000000000 516217122 16764081 178763810 199488604 1000000000000000000 785619500 684894677 392853820 529628227 1000000000000000000 635934402 38763790 22160411 68148175 1000000000000000000 586276283 219501151 408660436 169271370 1000000000000000000 794092902 334488254 18529198 402708833 1000000000000000000 473788144 358508378 223829270 402452629 1000000000000000000 249651919 216804068 210320791 194107322 1000000000000000000 382998843 56186117 347520623 58104980 1000000000000000000 429152556 31446594 208345319 256765864 1000000000000000000 766771762 253213026 209342043 73959368 1000000000000000000 962878680 604075925 474578103 465145497 1000000000000000000 410793760 393693554 5712263 148534511 1000000000000000000 676052322 499224297 36173343 139470579 1000000000000000000 177674150 40082991 13308665 83608014 1000000000000000000 286216584 58543836 193967508 249952188 1000000000000000000 538793289 217809165 467199762 371780059 1000000000000000000 762835293 411644889 146895118 86104708 1000000000000000000 387301734 336275826 321978184 309117861 1000000000000000000 907979511 337593914 828845387 770067791 1000000000000000000 116982278 6202507 80386754 35942436 1000000000000000000 879790924 769393457 154147560 755731414 1000000000000000000 526296600 250913943 217997292 21621522 1000000000000000000 357637469 167435812 24322608 22606486 1000000000000000000 736099881 16190903 47210447 22157798 1000000000000000000 299473771 147817451 225668472 283469399 1000000000000000000 407144944 368963300 229528312 121824131 1000000000000000000 268403913 135105965 248613806 102719845 1000000000000000000 952435652 105628779 205292787 187790744 1000000000000000000 597395584 493133051 559748215 413021341 1000000000000000000 678568457 410270498 131942486 437560071 1000000000000000000 150726000 43231669 26867929 100753817 1000000000000000000 715807920 477427969 280694978 483180433 1000000000000000000 636710863 414061723 590855730 212208933 1000000000000000000 465151381 282547839 420044171 59008001 1000000000000000000 120409065 20363154 70687371 4639630 1000000000000000000 333045023 219710360 88644275 189451409 1000000000000000000 150283741 94875205 56016297 56924390 1000000000000000000 340893893 258090508 145800240 140725787 1000000000000000000 174594270 127039330 103699502 138728774 1000000000000000000 552141606 381524858 504857174 167371668 1000000000000000000 468992867 14351690 8385709 131912267 1000000000000000000 220162058 70634873 150238108 100332285 1000000000000000000 582913549 85673396 352380546 151403341 1000000000000000000 963620320 255067658 20964403 312273373 1000000000000000000 443301611 4825880 335325707 290640645 1000000000000000000 359795280 107251130 16223625 73536857 1000000000000000000 191118151 39600652 167045460 103464583 1000000000000000000 391324381 200333670 46943025 258206523 1000000000000000000 448840508 320480745 402937401 170713898 1000000000000000000 821397942 719269658 111880361 629416125 1000000000000000000 963477305 172040569 809689482 603564060 1000000000000000000 901332192 217218760 670758569 772758183 1000000000000000000 311315858 228472148 29133408 135266333 1000000000000000000 544900555 246432155 373674318 133009655 1000000000000000000 29287108 28714559 24722611 18731222 1000000000000000000 900322174 77269524 567230096 94510015 1000000000000000000 175056974 51928986 160602040 136003878 1000000000000000000 382193074 368776271 54566330 119068550 1000000000000000000 938626643 549961498 95637529 120054152 1000000000000000000 236006206 174634951 223928084 10410080 1000000000000000000 923723803 634684983 41292998 184375824 1000000000000000000 836321709 618997201 466074911 223927235 1000000000000000000 588716790 251464492 219128761 509549638 1000000000000000000 100540706 6513317 84573412 91358770 1000000000000000000 327833747 133925585 223768872 25621199 1000000000000000000 228577677 177012328 127613397 43997275 1000000000000000000 530900735 159050817 134705540 420865823 1000000000000000000 617465528 298842558 164278721 509186992 1000000000000000000 742746841 203644181 57620929 218987380 1000000000000000000 314199730 248380281 176136152 273899845 1000000000000000000 905327534 83608790 123913044 713517428 1000000000000000000 274520120 181490024 79086131 2938440 1000000000000000000 964563684 509411697 272866919 716715195 1000000000000000000 991505739 480109416 734365798 792020199 1000000000000000000 241290645 62326250 26770166 79964590 1000000000000000000 881989773 279735708 813475765 326981547 1000000000000000000 478483996 335525047 429757515 190447434 1000000000000000000 519937784 204026330 486061986 321157658 1000000000000000000 612808332 312934858 337053299 192801637 1000000000000000000 60090360 46567489 38051502 35710022 1000000000000000000 730653696 334157372 677281982 565502868 1000000000000000000 37748340 37693146 20977091 19439217 1000000000000000000 392712602 350306037 119086934 51757783 1000000000000000000 904886849 823165991 53382548 545228540 1000000000000000000 342911628 109714415 205302455 162389695 1000000000000000000 251367726 99698674 28437783 107724423 1000000000000000000 546096586 8469239 188545901 517913242 1000000000000000000 981509628 348081270 765306325 227469729 1000000000000000000 741764061 230539610 132800817 367951308 1000000000000000000 639530075 284085777 553624260 420498449 1000000000000000000 370856752 106874796 140294588 5044807 1000000000000000000 966493739 266786606 713760222 302802606 1000000000000000000 917555418 882159635 679248166 827314706 1000000000000000000 951195395 113404324 528762356 173871264 1000000000000000000 864236160 463482507 436490224 171003182 1000000000000000000 546060781 541883088 545297251 482400513 1000000000000000000 908980204 503929502 367715919 738512325 1000000000000000000 525506855 33693677 235697464 267527586 1000000000000000000 753281992 610913397 310630806 518971843 1000000000000000000 763485068 477690105 331959779 707379445 1000000000000000000 952084038 704577259 563073386 685922407 1000000000000000000 794693416 346656393 754723898 9569633 1000000000000000000 129432634 129182579 75774831 90270460 1000000000000000000 399633617 67357151 306705282 331843327 1000000000000000000 458872597 423580492 166202355 2635661 1000000000000000000 859597387 374629396 342897744 62173250 1000000000000000000 999086722 591032600 312044949 579660624 1000000000000000000 967380834 271873144 290188270 876746941 1000000000000000000 878931105 636758281 804687167 841298035 1000000000000000000 596621615 319220174 563518751 267161236 1000000000000000000 69433950 44077307 3266568 40368684 1000000000000000000 959420507 390290727 98378956 391746086 1000000000000000000 716619919 57270230 349377275 476051090 1000000000000000000 344206329 107119528 326789577 177265882 1000000000000000000 18330951 13434610 11469220 15657566 1000000000000000000 637529994 488611299 33938540 15533017 1000000000000000000 201084456 117418120 184822674 134282268 1000000000000000000 647591136 391892116 136460877 232850725 1000000000000000000 294406253 245706993 263774415 44256390 1000000000000000000 361069635 23864728 350898192 250404093 1000000000000000000 168117579 81406384 3633267 4565975 1000000000000000000 379663971 366008110 213720039 323298620 1000000000000000000 399508292 67567662 64534043 365833014 1000000000000000000 40076254 37378486 35956019 25307134 1000000000000000000 736053292 112075396 356535452 40062213 1000000000000000000 536148639 105836907 257280467 103753809 1000000000000000000 499641810 269080940 450110920 371837791 1000000000000000000 323383171 199618278 293068273 162095445 1000000000000000000 954821945 601052179 710610726 580067961 1000000000000000000 621153411 398184013 461268893 503269595 1000000000000000000 44478176 34424797 4188594 29206618 1000000000000000000 368546709 350477892 270328877 307064634 1000000000000000000 51543445 21049424 43578496 23804571 1000000000000000000 212895592 198349124 13798557 61406918 1000000000000000000 525288134 201239177 172164347 193808804 1000000000000000000 434076435 222856692 92315441 277217723 1000000000000000000 634203196 328499304 240971394 291361317 1000000000000000000 883641546 123858422 196396120 586418661 1000000000000000000 647266524 545951063 622379146 19452026 1000000000000000000 610703626 500619165 5270871 439198573 1000000000000000000 528816313 489909328 15873936 40457318 1000000000000000000 680589255 230916247 217280452 50326914 1000000000000000000 409448567 146279352 145113273 342129023 1000000000000000000 786720885 193378555 461831888 763295817 1000000000000000000 41016325 7796453 33851147 24150284 1000000000000000000 506299292 471622738 136242017 218235016 1000000000000000000 161766514 13050052 71151412 89020422 1000000000000000000 828805809 731809435 219346846 605254865 1000000000000000000 371413615 115110602 34333214 279050483 1000000000000000000 287719178 148449633 205376775 286683609 1000000000000000000 132878979 53148276 17629491 115897687 1000000000000000000 674127666 631579572 473587775 151335924 1000000000000000000 169540464 113640620 56059733 17085535 1000000000000000000 53250885 5551052 25763973 51796641 1000000000000000000 107358427 26487951 13229375 12214653 1000000000000000000 562559621 385471775 383846376 373547823 1000000000000000000 679452065 172255811 537476001 591333836 1000000000000000000 93379009 5481685 6527652 73486537 1000000000000000000 594679497 239092996 27697637 252316760 1000000000000000000 960585170 137958174 186257696 777767499 1000000000000000000 475177163 416117468 310937574 192315231 1000000000000000000 495683882 27334787 244230206 129333363 1000000000000000000 913121921 902569856 549431112 782817946 1000000000000000000 104393985 1121075 67561020 86535745 1000000000000000000 627281586 14246187 363084676 259164456 1000000000000000000 171778730 106542058 47802503 112408128 1000000000000000000 172135640 43088211 63527175 150534429 1000000000000000000 873455562 238579027 127092496 680550134 1000000000000000000 459281401 150730469 53422714 158839786 1000000000000000000 932663597 498399525 911473213 834946271 1000000000000000000 333567624 189897824 186628071 78168483 1000000000000000000 262888809 79975329 190296051 164704943 1000000000000000000 761287812 559070255 526981509 56855141 1000000000000000000 472018100 463526768 295264368 400301846 1000000000000000000 614119166 113486851 63459779 99287644 1000000000000000000 42755803 34699123 5164366 26999744 1000000000000000000 526185228 309791087 54357100 305550582 1000000000000000000 440586557 217896554 143368400 67086884 1000000000000000000 467620230 76127910 80780661 101530895 1000000000000000000 722886218 489540487 499836945 108333451 1000000000000000000 737223029 448689970 680424565 8484062 1000000000000000000 748744741 22369364 142438115 336267940 1000000000000000000 917663648 782348791 648447148 897578918 1000000000000000000 459985616 69792189 374100166 263794069 1000000000000000000 635240891 578744078 494991889 270114338 1000000000000000000 11553376 1339087 10513789 239423 1000000000000000000 456679638 32969936 289553323 243597788 1000000000000000000 218245382 136300104 53388408 103923779 1000000000000000000 587746808 33424744 214241736 265279236 1000000000000000000 741207362 629078861 707819338 118651412 1000000000000000000 822235666 17917767 173757950 699815705 1000000000000000000 754593089 342852533 369099214 519994060 1000000000000000000 246928073 111940913 21637719 211848466 1000000000000000000 612953287 385093885 219913152 16557478 1000000000000000000 143126657 72578587 95943861 32015228 1000000000000000000 482627340 439796287 332304607 76458052 1000000000000000000 628690407 24242089 345226234 142802530 1000000000000000000 303848182 299455721 290245269 125969394 1000000000000000000 66113911 46533615 3492357 25351374 1000000000000000000 87292540 33665535 42367211 21023861 1000000000000000000 5158887 2226891 3207120 4626998 1000000000000000000 294770479 127127953 123286800 261360203 1000000000000000000 50713682 32969848 35505282 16300673 1000000000000000000 181117893 123104194 100419876 23648861 1000000000000000000 672762047 331622195 466524373 54956147 1000000000000000000 805683961 425252448 126388292 105419591 1000000000000000000 760575910 631128523 235698684 626141601 1000000000000000000 515613708 21963600 58566778 194580664 1000000000000000000 418679683 167236678 204322388 212945120 1000000000000000000 443153575 342659513 374546702 280277748 1000000000000000000 391873064 368850948 255692107 227993248 1000000000000000000 125717865 87365534 61248562 58934045 1000000000000000000 833350960 274573523 449578547 806635842 1000000000000000000 569981482 233528042 210586252 247719944 1000000000000000000 747035472 397718536 737279540 533343838 1000000000000000000 999876714 480253401 58190267 246839851 1000000000000000000 923179572 637136763 89397116 776083409 1000000000000000000 12277816 4993082 9665325 5522556 1000000000000000000 243794754 182690546 113698448 111242859 1000000000000000000 352325954 204242311 240019842 44110267 1000000000000000000 176857928 122446226 114081900 96918754 1000000000000000000 190504359 115492336 187309622 155061819 1000000000000000000 528356791 230905614 17731666 475240443 1000000000000000000 204821149 27292604 145365101 37863670 1000000000000000000 657725209 523406146 250793264 526064097 1000000000000000000 345014640 263830613 226549637 273095791 1000000000000000000 299523968 20830684 201947446 123005560 1000000000000000000 739606024 421116534 453233929 361604437 1000000000000000000 220596286 87921215 3722794 79477886 1000000000000000000 847700026 158670207 396397111 569392242 1000000000000000000 586600629 71584447 542437828 451135742 1000000000000000000 627367512 474432473 197902368 53800941 1000000000000000000 920049589 692847489 495105061 171167793 1000000000000000000 200612179 198815401 528950 67474338 1000000000000000000 779333399 269352128 688978772 276462600 1000000000000000000 428823241 373391659 326030069 225071641 1000000000000000000 933925119 131225127 401372754 924242319 1000000000000000000 553487078 496499925 457672234 231346300 1000000000000000000 744468951 297382009 140054786 242110302 1000000000000000000 280707191 107909192 166080692 25252915 1000000000000000000 780002754 690392662 352822753 674292602 1000000000000000000 80463207 37026000 3540929 37267353 1000000000000000000 967442449 258175589 724475874 620769990 1000000000000000000 707416791 396095502 542835292 340086104 1000000000000000000 43643327 25138885 37976959 36887494 1000000000000000000 374111296 350268542 219648444 291202006 1000000000000000000 109196958 86727704 13734825 9821163 1000000000000000000 889276009 882748450 632067586 859003816 1000000000000000000 528152214 51083856 133245778 46500510 1000000000000000000 551491926 340228489 122235366 284394066 1000000000000000000 222669775 138219782 197488912 95235905 1000000000000000000 671669973 331751844 164056775 231150836 1000000000000000000 678892766 91044750 258712496 148691310 1000000000000000000 321248300 278840456 263529144 98062246 1000000000000000000 890247087 568334342 432089702 305867046 1000000000000000000 362713140 55370766 183285066 245522955 1000000000000000000 391693995 180354090 156784349 119737078 1000000000000000000 571182933 521473811 113624135 124192883 1000000000000000000 144478378 36935808 44252664 52195348 1000000000000000000 361611593 101037710 171996823 262277694 1000000000000000000 364699904 263534392 53351779 331651360 1000000000000000000 384054636 371647214 37378016 79533638 1000000000000000000 609608489 487167484 196212673 24685908 1000000000000000000 882424929 609868457 14643200 424970246 1000000000000000000 802444861 418805412 672679770 611819592 1000000000000000000 950378585 460910229 126962406 15351161 1000000000000000000 87024510 75929466 67661234 59380256 1000000000000000000 129457755 49428392 87348648 12780037 1000000000000000000 955157890 22469150 751528564 20190470 1000000000000000000 348810949 30244999 63049758 309681622 1000000000000000000 732933459 36170034 464427229 290783472 1000000000000000000 802494323 269991347 332560021 194223003 1000000000000000000 685802848 242512742 202076893 464726420 1000000000000000000 395978419 195056413 75446271 28475642 1000000000000000000 218495050 174290411 158603969 149129363 1000000000000000000 598152420 485491713 586364336 593225803 1000000000000000000 758951420 337706313 115532457 97634575 1000000000000000000 787334451 379288282 162251193 454493089 1000000000000000000 572231852 231844176 358123349 239516745 1000000000000000000 977376633 881122253 601369065 550235124 1000000000000000000 427083809 241189577 340853899 189452047 1000000000000000000 910771772 854418792 754980998 60844789 1000000000000000000 842649455 731921614 509114693 172090975 1000000000000000000 899527998 293292947 804711423 784794051 1000000000000000000 82538537 78808047 44355866 50661646 1000000000000000000 666491024 139328262 208654986 139843882 1000000000000000000 621301217 607788293 389677300 162677845 1000000000000000000 675446716 51419587 250966030 224006313 1000000000000000000 526908723 524778791 501534691 423090867 1000000000000000000 916726062 414418937 215690953 474653614 1000000000000000000 594387723 193646531 157605725 344414424 1000000000000000000 909226073 147510757 543688449 200642183 1000000000000000000 95217425 8250545 20093846 339644 1000000000000000000 763558200 692454308 628691372 367521079 1000000000000000000 675979661 503642490 224739998 563727445 1000000000000000000 345319994 256281948 100367888 121791506 1000000000000000000 587605374 175313281 29902974 53958644 1000000000000000000 413687477 50156861 46983832 306886889 1000000000000000000 294846225 223685962 244126069 161332450 1000000000000000000 585840339 232640471 303854457 102659817 1000000000000000000 324422235 53391178 163573213 201639433 1000000000000000000 512621841 257266286 399285412 73984812 1000000000000000000 223411340 46723668 13700143 135149201 1000000000000000000 555414136 301259533 42325372 72848202 1000000000000000000 26678381 10553532 18174751 15994497 1000000000000000000 209376957 88415470 182044496 47267026 1000000000000000000 529314548 450721621 492969977 427024148 1000000000000000000 171328101 47718894 18784077 27477612 1000000000000000000 388806653 102278946 151840013 49812842 1000000000000000000 495645964 351873567 254325591 103630402 1000000000000000000 863955002 734595040 319842974 147356527 1000000000000000000 800728693 307046356 440833881 453148274 1000000000000000000 974127282 469468091 571031361 769733036 1000000000000000000 930185568 175654419 928292342 899050826 1000000000000000000 317475770 33063734 133341969 11287138 1000000000000000000 843483618 828531618 297563390 147146073 1000000000000000000 306982153 295058609 17627070 154984329 1000000000000000000 43490116 36152967 25787185 7678613 1000000000000000000 555089514 177584231 246158200 16920754 1000000000000000000 695213457 494926966 219222240 80115370 1000000000000000000 125327162 52034485 82616010 80832805 1000000000000000000 598271138 302348603 492945624 482362616 1000000000000000000 16552469 1524398 7670489 5987908 1000000000000000000 23281337 19698212 1065631 21169700 1000000000000000000 976092874 214530363 438160318 451460459 1000000000000000000 317652795 313293492 64151370 230779289 1000000000000000000 666895615 209088301 509926167 41655863 1000000000000000000 382822459 38294066 302238697 307911689 1000000000000000000 184642711 175792893 91145125 109876094 1000000000000000000 215403106 107555764 36684878 74114849 1000000000000000000 176402560 115151887 1541835 33896456 1000000000000000000 299482036 223775656 142491710 18104615 1000000000000000000 162752076 130279490 156026000 100321023 1000000000000000000 29895298 750570 2161092 28308508 1000000000000000000 219273079 193650617 115309298 101569626 1000000000000000000 975261629 58267915 831754566 730132369 1000000000000000000 158636120 37302919 14952419 122242957 1000000000000000000 979581760 907478002 837190268 148048542 1000000000000000000 939268948 43490666 437802771 231155470 1000000000000000000 881336028 763419463 696113465 669983309 1000000000000000000 607762868 577391366 68772464 455626684 1000000000000000000 92787253 64162701 27218382 17106256 1000000000000000000 557618933 222486005 189542852 431643809 1000000000000000000 715961485 529674332 600316956 711805003 1000000000000000000 534975712 372044533 224152547 309828141 1000000000000000000 921016441 826914429 198421433 681195064 1000000000000000000 183154292 39436777 16456131 124046802 1000000000000000000 14910926 9647102 5968230 2123683 1000000000000000000 166661995 137987496 109777528 40748677 1000000000000000000 530135410 507905483 246215340 492094478 1000000000000000000 24422509 14197233 24321888 15862564 1000000000000000000 877478188 358114448 270786194 804405378 1000000000000000000 172266810 161684000 133847898 10542519 1000000000000000000 849791979 481131266 71539779 558175143 1000000000000000000 305621547 167331495 262036060 159473594 1000000000000000000 805401628 443762304 566897327 720660188 1000000000000000000 362195207 97657081 185744876 24398532 1000000000000000000 140166933 106957540 42487580 15660072 1000000000000000000 749302767 44641565 659299508 281157247 1000000000000000000 133895283 97559181 76361256 97130239 1000000000000000000 876388017 554722584 91682786 740196514 1000000000000000000 864111042 702315583 665713976 208863778 1000000000000000000 627626799 47931511 130565657 569243518 1000000000000000000 927686394 684720754 216570000 77673299 1000000000000000000 920810696 489270426 323961746 733103031 1000000000000000000 508418528 280619769 362350309 455622425 1000000000000000000 796178842 36846604 574273107 89743675 1000000000000000000 429664905 420176925 337526078 405257625 1000000000000000000 133287379 23473954 22565467 120412259 1000000000000000000 134976496 133693620 121879820 38227658 1000000000000000000 105860331 89357745 54681143 35590263 1000000000000000000 822490975 368566451 74221842 222429861 1000000000000000000 898183953 223862604 393460606 552429415 1000000000000000000 996148907 55016028 989429976 485845697 1000000000000000000 712175436 260001844 58005142 46896317 1000000000000000000 454469864 93394320 328300836 256680042 1000000000000000000 594533050 500624016 193959674 467451762 1000000000000000000 657267701 506895068 284677539 316982543 1000000000000000000 150153214 17014085 77851096 97168934 1000000000000000000 677599503 257922316 542902408 71082702 1000000000000000000 636712335 109216573 40130796 66958022 1000000000000000000 959111626 754941040 899675211 935209727 1000000000000000000 308366580 225694857 55996232 39562102 1000000000000000000 312130521 177015089 238098967 88371569 1000000000000000000 341961339 192627521 74352296 90271818 1000000000000000000 731065182 208490389 357547573 571940849 1000000000000000000 963442226 851194802 655479725 532376031 1000000000000000000 244215091 48404255 215858452 24680320 1000000000000000000 354940688 321712395 97131120 148715970 1000000000000000000 354462002 165633764 261373223 199846225 1000000000000000000 219616764 203743722 108397432 107410958 1000000000000000000 611415976 48334293 63214441 120995006 1000000000000000000 919523349 483718681 29387977 377575284 1000000000000000000 484971739 202516365 444564802 206423755 1000000000000000000 918849176 433413284 460491193 690778085 1000000000000000000 72679407 66016781 33610772 10885795 1000000000000000000 853727239 224641258 332148463 479078317 1000000000000000000 755348257 445019967 396075004 680366696 1000000000000000000 71077617 20590599 35934676 53924946 1000000000000000000 319806512 311089393 145852718 224769335 1000000000000000000 840766975 615111641 195087608 573830140 1000000000000000000 743190027 138643167 667535300 490619035 1000000000000000000 714790249 405740472 680561972 145525704 1000000000000000000 935652999 268979254 348996669 10883987 1000000000000000000 628391700 203122432 263347006 204772805 1000000000000000000 923309205 635527782 401990713 655047694 1000000000000000000 611078513 559663603 161752654 454131284 1000000000000000000 235810330 57282296 10363007 32056293 1000000000000000000 377849597 306776337 67775115 358245142 1000000000000000000 167338119 112966944 39674166 151813050 1000000000000000000 292401938 256272620 32056973 203523177 1000000000000000000 70523243 63087176 64593187 68737386 1000000000000000000 591766280 330776041 543246961 393554256 1000000000000000000 718703036 699848184 13203609 43586390 1000000000000000000 870934874 830072103 215218108 402308749 1000000000000000000 582267914 325619986 359835220 462534669 1000000000000000000 116906056 81937106 54859414 43984177 1000000000000000000 440261528 258708385 374686272 152908397 1000000000000000000 79733983 2278594 43418179 27577600 1000000000000000000 710994384 365376382 9936980 458548694 1000000000000000000 206408915 5348040 158254189 180215179 1000000000000000000 666416625 454878031 590409512 375238154 1000000000000000000 779363660 55013372 155792554 439724632 1000000000000000000 190389853 180246634 13096037 124117871 1000000000000000000 534384929 470320998 233723607 188527064 1000000000000000000 110440463 49766067 78485886 64640149 1000000000000000000 737696496 451032269 560039318 653552165 1000000000000000000 64790063 23041198 11334407 36507849 1000000000000000000 394211857 80461485 390202639 245745997 1000000000000000000 767013984 609304172 749633530 343966160 1000000000000000000 955864884 602699273 377157720 613534205 1000000000000000000 906503624 587917680 239991588 496034476 1000000000000000000 534896730 332139530 383012216 249168081 1000000000000000000 804361699 422994313 707994029 168915144 1000000000000000000 516909979 391836743 326987080 74992055 1000000000000000000 344392348 104198623 188304927 211901246 1000000000000000000 703124139 286978297 396518008 470485797 1000000000000000000 927282341 485117137 86013090 110376327 1000000000000000000 396596588 88946129 77515055 94805056 1000000000000000000 966896354 798564680 347267172 718976119 1000000000000000000 246810642 16385473 100239204 177425693 1000000000000000000 98642360 48320215 59649311 14461140 1000000000000000000 305308127 68422056 71050670 239450130 1000000000000000000 618710415 71490867 522332024 189596776 1000000000000000000 598265707 196585023 355955171 103969301 1000000000000000000 915038548 408844878 786965160 201136702 1000000000000000000 454313933 214590582 328936034 261311883 1000000000000000000 569247706 183225221 317217020 554434193 1000000000000000000 742412927 144001454 505781766 181547699 1000000000000000000 429044089 281367855 373356274 4516510 1000000000000000000 622808433 423313887 404535268 251462841 1000000000000000000 145475269 29638121 26633010 69313236 1000000000000000000 555488393 502614907 126255215 529908057 1000000000000000000 618196350 434644699 419726463 159554300 1000000000000000000 628406533 337938924 474685806 11243689 1000000000000000000 644900279 598075621 3639196 554485113 1000000000000000000 227751302 130566894 118133202 63519796 1000000000000000000 932334970 654653168 403392359 307401694 1000000000000000000 404209564 322178210 270939071 85184082 1000000000000000000 372515745 137291037 162815629 356315398 1000000000000000000 701292709 431699672 46822022 443855835 1000000000000000000 287851715 122556639 149410483 59248102 1000000000000000000 440675190 84319358 6720077 336509883 1000000000000000000 345456270 273619712 93975300 145892544 1000000000000000000 423120065 11953694 301268427 116512603 1000000000000000000 778006854 411380114 142783921 108894009 1000000000000000000 471139471 371975932 37742251 149258502 1000000000000000000 476036936 325985528 391503187 268782121 1000000000000000000 834929345 621231304 727149730 294073288 1000000000000000000 240222721 55194323 93929920 55445312 1000000000000000000 490074651 179074508 2962214 119983638 1000000000000000000 278948633 19269147 175253127 130443874 1000000000000000000 147152112 128337722 132774561 77633602 1000000000000000000 274842696 170009002 21248431 184543569 1000000000000000000 451183349 201501229 145565581 30313393 1000000000000000000 800521460 577929875 743251847 407475623 1000000000000000000 448119489 158668400 179631227 355457408 1000000000000000000 656862269 168353075 540253917 24082650 1000000000000000000 944439454 429869733 128235559 537175030 1000000000000000000 435062998 127662549 256665410 382130476 1000000000000000000 120007215 94406447 86861596 57394940 1000000000000000000 545487182 214435305 491003648 181127840 1000000000000000000 582488296 543093745 509856749 84577779 1000000000000000000 151628577 14961680 107208022 101865584 1000000000000000000 920337150 518343130 362291407 25632552 1000000000000000000 449582057 403497382 404090432 249821697 1000000000000000000 76751568 53458372 3053331 6144876 1000000000000000000 701093027 96371055 548484743 245527626 1000000000000000000 567529166 204320425 223194574 182433009 1000000000000000000 446456486 69996073 371843903 242025537 1000000000000000000 669102510 612950370 496781066 78594974 1000000000000000000 565571986 145797742 164230810 489026467 1000000000000000000 992233505 945995762 550238685 408213374 1000000000000000000 75848392 40645887 75423024 43958478 1000000000000000000 39195773 15542975 22983026 25537257 1000000000000000000 845245055 208133385 361825474 128881916 1000000000000000000 883321454 29269441 217023290 777638161 1000000000000000000 38527198 14430266 30140461 8929083 1000000000000000000 601548396 247469662 95546172 194543944 1000000000000000000 958248990 296207950 240233366 730016146 1000000000000000000 466017589 193933463 348786919 458505920 1000000000000000000 587718388 404696270 223922846 473602563 1000000000000000000 527163160 85877109 191480748 299684296 1000000000000000000 918234348 278298451 127082208 578208152 1000000000000000000 710181917 129998641 255588404 517085943 1000000000000000000 355436739 249150623 82098861 288066366 1000000000000000000 488522595 354404847 163248784 220225725 1000000000000000000 907256040 740321197 253344345 404289011 1000000000000000000 767964229 609326936 706163083 533334611 1000000000000000000 848910796 701938129 627212213 682322960 1000000000000000000 431520042 159590832 82406100 36472477 1000000000000000000 774390999 679488184 569754534 366006749 1000000000000000000 697211391 393980347 191112497 267886999 1000000000000000000 771811946 680473235 161307946 305998310 1000000000000000000 495270884 131167797 192499281 66805866 1000000000000000000 95134191 56894377 72477372 17780934 1000000000000000000 416792194 152893223 66494226 41643641 1000000000000000000 614004069 412393334 511956527 584080498 1000000000000000000 310104488 33172218 23510745 278299346 1000000000000000000 880880566 113103620 759339145 360922924 1000000000000000000 251771834 246821325 168198197 49893332 1000000000000000000 622262151 273723375 407660134 429291267 1000000000000000000 155896408 118715855 2824197 50477278 1000000000000000000 135023271 89584440 57318304 60001303 1000000000000000000 638305476 366419578 504618193 38753701 1000000000000000000 969015009 651149981 546596583 461609279 1000000000000000000 692894590 258924598 542684730 621679523 1000000000000000000 827874236 71283720 660728346 656646913 1000000000000000000 578924518 249915721 53676748 329857519 1000000000000000000 556670011 338830312 105436692 261327981 1000000000000000000 411668909 123921953 411502483 161304516 1000000000000000000 271185395 236547968 226550504 26372930 1000000000000000000 182574096 68541600 74852454 175587764 1000000000000000000 698875761 384345861 29384514 470252175 1000000000000000000 127621835 87356925 23736981 15659112 1000000000000000000 457049252 321958607 357024979 220440925 1000000000000000000 270404068 195079469 182836217 268577932 1000000000000000000 959350264 369868572 730774780 384070759 1000000000000000000 844446105 562767828 452693592 264777035 1000000000000000000 951628437 469407089 403000875 109640778 1000000000000000000 724196958 248738751 87502921 326293976 1000000000000000000 422109418 242259504 141478794 392393101 1000000000000000000 264611557 222426511 225640180 3180841 1000000000000000000 660037997 634461211 270942183 572378958 1000000000000000000 729809566 5485582 629846946 366737464 1000000000000000000 269831323 106677768 2203798 173699638 1000000000000000000 407377865 264288702 333690718 21616779 1000000000000000000 374774853 369994329 340665081 325965811 1000000000000000000 280352995 33857056 163582593 19111709 1000000000000000000 258260679 175316796 203317472 181596112 1000000000000000000 873836454 370806005 817309268 253864817 1000000000000000000 966581824 498655574 890762710 9990555 1000000000000000000 688417093 610381359 640165196 503490250 1000000000000000000 239029944 191506753 22947983 230916704 1000000000000000000 858261913 696591 175941261 544547534 1000000000000000000 438708668 316629446 113847723 1330460 1000000000000000000 428753801 259080994 16948734 276796346 1000000000000000000 252552393 96440455 166429722 33346429 1000000000000000000 402152537 125314787 206901971 129237118 1000000000000000000 195918161 134398856 157910480 64739842 1000000000000000000 910155033 374971358 483450031 610564038 1000000000000000000 315542927 48006659 283059745 35367171 1000000000000000000 42493369 8766499 4771026 2712615 1000000000000000000 17189487 6570090 37890 14291798 1000000000000000000 476068122 76661887 409156457 33088144 1000000000000000000 169350051 51186387 19124303 87080819 1000000000000000000 949894025 536261489 387885813 480792528 1000000000000000000 799555030 426568341 128330088 657789445 1000000000000000000 806696950 135726316 694962478 420044083 1000000000000000000 619492236 106884539 276411828 144616235 1000000000000000000 875896436 487854375 816302103 423864194 1000000000000000000 169357562 60597608 59317228 46785215 1000000000000000000 589336242 374375995 540211101 167527809 1000000000000000000 121000030 64042194 100656407 67859691 1000000000000000000 407108160 129344784 14031817 143398407 1000000000000000000 363050827 8466217 251616516 106734240 1000000000000000000 535617175 218687944 159940573 2545082 1000000000000000000 593522129 248759205 250491912 371603080 1000000000000000000 26803603 6842768 10855421 20848744 1000000000000000000 372109172 403902 207068268 8549931 1000000000000000000 561017444 524758425 391762570 105841146 1000000000000000000 508356059 380934681 18092936 126706997 1000000000000000000 742002523 573733350 171900314 410413119 1000000000000000000 987545436 780078264 377924439 439476795 1000000000000000000 628121431 6934748 246178843 312110645 1000000000000000000 807710815 69842602 7484869 572145094 1000000000000000000 974594172 925417132 710475926 122666095 1000000000000000000 423898651 405499195 420637349 392240127 1000000000000000000 736222711 4882299 88003324 597279531 1000000000000000000 231161680 9442026 171786782 136183910 1000000000000000000 571557732 545369348 112578093 225933327 1000000000000000000 946029362 26175318 783877276 698195136 1000000000000000000 922516328 376196658 677056623 427714997 1000000000000000000 250090186 174160456 41265806 247013220 1000000000000000000 348920180 255237699 193840426 246139180 1000000000000000000 217460374 109483324 188561507 56804443 1000000000000000000 686976577 60076018 5540049 679104498 1000000000000000000 930232388 505211856 625732455 142414110 1000000000000000000 517186882 332938949 213778427 184433752 1000000000000000000 435548999 407059026 119585368 103506411 1000000000000000000 374250203 13458077 232452615 79709638 1000000000000000000 220641069 15859667 117049415 199571856 1000000000000000000 73081155 24251791 64509772 619289 1000000000000000000 144461786 100807186 51423871 12277117 1000000000000000000 843743526 83903305 461792905 535480509 1000000000000000000 518819899 17258182 203294798 97944011 1000000000000000000 321644216 307632053 200996830 197981572 1000000000000000000 415785957 315737662 188040573 18778177 1000000000000000000 748250669 383201926 597040469 277281619 1000000000000000000 513403229 208526797 469885690 380982538 1000000000000000000 299873006 240520056 252634940 275702200 1000000000000000000 165633704 150393414 9185463 142757184 1000000000000000000 736789952 76820295 81485220 724143089 1000000000000000000 381155669 325736237 116987380 143541907 1000000000000000000 777734045 182205445 682447653 667876111 1000000000000000000 137754523 61567877 35271419 88569879 1000000000000000000 416327710 39699469 387338848 104077237 1000000000000000000 451583235 201151933 212845925 322137401 1000000000000000000 723896253 276948972 499954781 637142938 1000000000000000000 627295099 526732301 7427143 86229835 1000000000000000000 50413714 23314081 24900945 19055683 1000000000000000000 127322975 10295483 5918852 114022799 1000000000000000000 406594176 50941624 162995788 373107570 1000000000000000000 53840464 11833756 38766324 24832114 1000000000000000000 960427630 201296122 200851004 821797231 1000000000000000000 186568907 135904982 113592314 87557135 1000000000000000000 938406051 320340793 205485714 625657540 1000000000000000000 412072263 237717673 212402875 69592882 1000000000000000000 65307768 4932998 9564 61144277 1000000000000000000 267375951 134686103 204713680 199219422 1000000000000000000 981325785 616041552 390770325 521906222 1000000000000000000 975824337 570473248 963851043 664555816 1000000000000000000 750775693 33746189 220654412 84976353 1000000000000000000 132166836 65000009 46905352 81501325 1000000000000000000 547686090 26806621 236992765 439981445 1000000000000000000 647013862 376411972 473202623 200768287 1000000000000000000 820132103 84464632 699619420 771773069 1000000000000000000 670505359 405226223 125021962 298909001 1000000000000000000 296062454 44918669 178941519 294419191 1000000000000000000 373218564 190893043 193993990 40182960 1000000000000000000 2834092 473201 697132 1934914 1000000000000000000 897190066 88241901 271944143 740682019 1000000000000000000 875881289 640290251 349760507 145508591 1000000000000000000 484703322 441660063 359471241 15314807 1000000000000000000 280042554 221435028 91172229 82101745 1000000000000000000 987828947 573835970 579060176 717212836 1000000000000000000 563566209 85041685 446020198 290746411 1000000000000000000 170813329 103320485 50201414 68268917 1000000000000000000 639476146 252336812 453364186 279827974 1000000000000000000 771828958 754939638 210812170 372825679 1000000000000000000 445798481 375871332 111372265 426748158 1000000000000000000 706144168 143900279 350063605 81105990 1000000000000000000 200854410 72770289 92718477 33732907 1000000000000000000 417460261 414794090 248786926 143088937 1000000000000000000 738019904 157794611 347635976 85724468 1000000000000000000 168800129 166775562 131172669 74281729 1000000000000000000 13585721 9137717 11342561 1626451 1000000000000000000 668629254 66947516 187642217 619126847 1000000000000000000 782772076 769830335 389754325 306412323 1000000000000000000 458233781 333597522 139443683 281073246 1000000000000000000 447813236 17370639 352408627 238844550 1000000000000000000 42462773 20238034 23652110 37702760 1000000000000000000 810162924 433502842 233765574 290489531 1000000000000000000 417614526 41309422 166848927 33177289 1000000000000000000 634000835 143755757 217973628 345776885 1000000000000000000 660996298 548926038 221776441 42453245 1000000000000000000 286645028 39621475 253333684 172826553 1000000000000000000 90353313 14980576 4292319 73982843 1000000000000000000 566597530 368687183 252816032 43958248 1000000000000000000 989098975 201424262 53754967 786867823 1000000000000000000 883002245 145278705 580620422 89245191 1000000000000000000 481024987 20514356 104735156 354273431 1000000000000000000 213342254 32404628 181780679 3551974 1000000000000000000 87157181 61957495 59877138 26031036 1000000000000000000 306289304 37630803 7939424 78571451 1000000000000000000 206873863 163571245 199427494 120157329 1000000000000000000 759236251 262881930 552846475 632656425 1000000000000000000 432127967 227691234 265596717 43270014 1000000000000000000 534160249 76803659 219508746 183378395 1000000000000000000 299927888 31298869 264463618 224941073 1000000000000000000 543564432 386253124 369017871 90830379 1000000000000000000 981957252 730716133 336184024 204731935 1000000000000000000 114047198 37053824 102960217 110836224 1000000000000000000 63419126 31606325 42607337 28668612 1000000000000000000 166832561 66571458 10420600 81725835 1000000000000000000 519349979 84196911 311490270 459510856 1000000000000000000 156291225 87541575 32893153 62969501 1000000000000000000 370600121 118998811 286859367 284067566 1000000000000000000 435374379 98810082 432172567 346643844 1000000000000000000 643021017 196260604 49779656 566140104 1000000000000000000 702169621 349346608 9105826 489502255 1000000000000000000 907650496 473475769 446605467 627459498 1000000000000000000 368203834 277700022 238732594 286711544 1000000000000000000 411413198 43492031 403634308 88245237 1000000000000000000 727053564 331355822 483481410 632909495 1000000000000000000 607755103 342450340 93785397 453416857 1000000000000000000 739142570 302537776 515179063 536926859 1000000000000000000 971763030 452726973 519348563 645295656 1000000000000000000 193337317 141326901 114216627 120541743 1000000000000000000 147774526 27953131 84376452 90656641 1000000000000000000 983587204 738814703 957110694 786059270 1000000000000000000 978603106 559259104 782708398 236036871 1000000000000000000 562032674 477269793 501979224 257468104 1000000000000000000 831878437 532779483 573311965 433823385 1000000000000000000 392731540 376890534 167362041 322111322 1000000000000000000 776545386 322387643 390859941 650424784 1000000000000000000 706856613 197043122 570742778 651620500 1000000000000000000 266377512 117637296 234903714 203157403 1000000000000000000 811100164 789292280 636838687 403348524 1000000000000000000 654091724 193443237 482685069 50171909 1000000000000000000 548613938 509025743 362736566 538679425 1000000000000000000 256727747 157064302 66966498 169261760 1000000000000000000 513866265 95134871 506890587 180057277 1000000000000000000 27150367 24938610 10290932 21882266 1000000000000000000 371752994 290592881 31740130 297635176 1000000000000000000 341982984 261333083 136034744 251243270 1000000000000000000 617003687 392210423 84404250 252310492 1000000000000000000 141662692 51066096 68526825 36216242 1000000000000000000 93957928 81552389 72460194 55048118 1000000000000000000 381747380 100140949 138024129 235373012 1000000000000000000 21012244 6174160 8210222 15384270 1000000000000000000 418395992 244283131 21152299 18254419 1000000000000000000 605473266 75359454 336962673 319430358 1000000000000000000 596459514 390491315 370614935 166001053 1000000000000000000 265474446 205346731 192727481 63129069 1000000000000000000 474844219 316625531 212725586 10752163 1000000000000000000 886477878 679440482 723856640 299983457 1000000000000000000 955143742 695791447 465611851 392360150 1000000000000000000 972827196 523199925 717227382 716747706 1000000000000000000 166657294 157587142 162825783 6585035 1000000000000000000 792620569 457041778 323314676 343738776 1000000000000000000 38364673 35468317 17784182 13863023 1000000000000000000 101243556 51048896 62477446 4954939 1000000000000000000 67487454 24779199 19587055 18144291 1000000000000000000 169044072 53049970 110760939 8195063 1000000000000000000 94055187 80697147 26355018 12560415 1000000000000000000 362219969 60015595 245818503 23622705 1000000000000000000 994483000 334809709 985121632 760603290 1000000000000000000 275377619 26283855 257286438 108168329 1000000000000000000 68435572 31559891 42359545 4502708 1000000000000000000 131502138 76413149 43651764 54976547 1000000000000000000 447670257 207530522 308501550 103136419 1000000000000000000 203052996 101429381 16662586 196277622 1000000000000000000 822378841 152817075 213187291 755966178 1000000000000000000 180900058 155787801 98491585 34373741 1000000000000000000 367444077 73630236 50069910 177711798 1000000000000000000 923831992 345102303 101722763 241398789 1000000000000000000 732932547 427302413 543993075 197306765 1000000000000000000 614423766 160092355 472009663 611748246 1000000000000000000 283963083 29275702 39678534 50968798 1000000000000000000 604596479 268925751 247261807 23762450 1000000000000000000 856581946 854143963 44220461 424093664 1000000000000000000 874830593 339352681 553759142 369770347 1000000000000000000 767029336 235985197 493408651 128807118 1000000000000000000 470954675 38058447 135466466 181295936 1000000000000000000 461112913 166120738 318632034 43507489 1000000000000000000 681397303 136199946 227740722 462677188 1000000000000000000 963776046 493035634 133459552 37365159 1000000000000000000 173255615 36268458 105893107 87284779 1000000000000000000 7298102 7174153 3533638 3904367 1000000000000000000 655859185 334688484 110841896 340725032 1000000000000000000 49280458 30548621 6747987 37680594 1000000000000000000 857715507 578835758 28523813 528004684 1000000000000000000 993345483 368295604 615797481 837847485 1000000000000000000 723913002 495971090 640177206 456993195 1000000000000000000 714657772 381555313 354175179 367612590 1000000000000000000 531627584 136216107 92062949 340723984 1000000000000000000 229844025 26324992 64989832 105762755 1000000000000000000 42007130 18055975 31849580 15737770 1000000000000000000 121064616 44755473 32859738 44816896 1000000000000000000 27715127 21637769 12275540 11139084 1000000000000000000 973224353 719717940 479644241 533575236 1000000000000000000 447627886 283550486 183050971 41898173 1000000000000000000 134756475 11961445 25915069 76665949 1000000000000000000 338170479 141490574 317499320 67546880 1000000000000000000 259520377 5716211 134624719 77886667 1000000000000000000 830494336 376624540 526643946 721985902 1000000000000000000 743284133 91153758 44468979 356587989 1000000000000000000 458857994 302513270 303108752 445398393 1000000000000000000 528582770 205982248 507728263 463389606 1000000000000000000 256810835 235566715 97168640 192958521 1000000000000000000 338431305 316361406 71210893 6628132 1000000000000000000 993942233 375227205 446182941 161676201 1000000000000000000 428423949 336769564 47959320 310381519 1000000000000000000 837962863 817078858 462652056 606558688 1000000000000000000 979393927 383316018 941744224 722434902 1000000000000000000 420183086 338154885 125993181 126680904 1000000000000000000 583822722 8254093 570385782 246079459 1000000000000000000 379867445 80607932 89004958 4096891 1000000000000000000 848892839 233762149 637736482 367918650 1000000000000000000 940281679 607364047 828175997 312582317 1000000000000000000 999092809 374603050 388821424 673153035 1000000000000000000 669320152 93519368 191356733 305564852 1000000000000000000 968349289 197085276 939559615 951581283 1000000000000000000 332058108 326498786 262490419 71184515 1000000000000000000 881256074 599749748 397823328 553561785 1000000000000000000 15833187 15080500 13329029 11537643 1000000000000000000 543880100 133623178 97703502 464545661 1000000000000000000 911843459 103773107 252159241 909944639 1000000000000000000 957006005 403540664 147304566 491231135 1000000000000000000 709291240 407487695 292560581 373886266 1000000000000000000 715976618 680597661 130924739 612421064 1000000000000000000 628127887 220713019 356728900 339264368 1000000000000000000 807661918 294903223 11112952 149443700 1000000000000000000 992817491 406227111 799337805 347660285 1000000000000000000 301219730 51919439 76245626 44236782 1000000000000000000 748506837 416835895 724035480 229346 1000000000000000000 344967705 101267542 131121645 325058123 1000000000000000000 675181552 601797857 60893030 544572087 1000000000000000000 175526251 156058691 46882908 52857497 1000000000000000000 514638249 413554857 499574917 61506734 1000000000000000000 376236451 216954673 116596106 285723855 1000000000000000000 843037436 13188501 529657404 591875173 1000000000000000000 693174331 522276579 59254418 63410723 1000000000000000000 368626418 129510242 196521998 276392915 1000000000000000000 289311460 77850645 80916799 277827973 1000000000000000000 783311948 390293839 436102300 371603988 1000000000000000000 358322990 122355487 61959135 91667014 1000000000000000000 446631505 234728792 407719003 130502595 1000000000000000000 838771889 807684963 512694410 96512595 1000000000000000000 67014188 22922428 497442 6521085 1000000000000000000 985051666 430864449 782000191 752911220 1000000000000000000 975823249 504701724 494224048 701019725 1000000000000000000 377922972 29629753 206096078 28750774 1000000000000000000 210995907 22555715 120834006 169708222 1000000000000000000 444580807 371667254 192496301 91469084 1000000000000000000 526792920 401768116 447714182 362752857 1000000000000000000 365950671 41851480 237186727 105010980 1000000000000000000 233986537 28944005 130923132 197416260 1000000000000000000 951339473 194703367 367807308 72437719 1000000000000000000 812975087 214074103 180339012 711547165 1000000000000000000 697380097 536372948 45402499 395672714 1000000000000000000 679728349 69045320 580586671 356923883 1000000000000000000 731069278 32353905 652272336 381040059 1000000000000000000 582516549 439863296 31975684 9969044 1000000000000000000 615885752 603081485 110248108 167827543 1000000000000000000 506565410 374023570 87931109 17004601 1000000000000000000 212920589 90149540 98417404 208891920 1000000000000000000 809334767 307312744 595893950 738553819 1000000000000000000 674876371 86234803 67734748 109926778 1000000000000000000 565180152 563422651 398576237 323033149 1000000000000000000 434323241 261162015 22955184 30209901 1000000000000000000 22703086 19729183 20938079 17045164 1000000000000000000 885742943 165217421 582126227 816608392 1000000000000000000 411670868 205397373 398735890 14990348 1000000000000000000 484405642 354622482 368364776 67497709 1000000000000000000 341208840 218444922 224756752 143518321 1000000000000000000 785884478 535528502 171290103 640129607 1000000000000000000 7991481 1967459 6009548 1485589 1000000000000000000 959291033 451335917 933425925 394138560 1000000000000000000 493824556 489210093 19038689 53796875 1000000000000000000 282853555 78472845 81465007 127669011 1000000000000000000 261024259 9859884 224542970 112120177 1000000000000000000 761740845 448483684 84760158 3935002 1000000000000000000 618617879 401997249 416086835 234873676 1000000000000000000 102918831 29822333 2116861 85100168 1000000000000000000 99473139 7088558 61008605 35692896 1000000000000000000 543807424 452715742 411062874 294565050 1000000000000000000 177049440 160074171 948209 3210351 1000000000000000000 615878675 559541259 338470076 597539056 1000000000000000000 856575114 42821038 421587006 415289778 1000000000000000000 359409619 184814391 110957622 45135372 1000000000000000000 333318032 309501447 127620737 40522418 1000000000000000000 899671340 505517073 855325758 237057761 1000000000000000000 727694479 688466650 651844572 313272132 1000000000000000000 629702209 315913950 263271000 193512800 1000000000000000000 943456358 463898871 749808593 153727081 1000000000000000000 60823441 36680799 23243514 42321047 1000000000000000000 759683966 693634969 543306972 286553425 1000000000000000000 735860968 464010798 637392643 576293662 1000000000000000000 706855403 297514603 175752049 537301648 1000000000000000000 750317340 210013840 485986428 226441830 1000000000000000000 765625759 59148983 90219947 541311097 1000000000000000000 179498615 164776095 19199730 100756100 1000000000000000000 234405419 55699650 125633969 36054449 1000000000000000000 353856988 348839305 78533498 17632896 1000000000000000000 731843798 170784858 156293986 38298318 1000000000000000000 898839899 742987870 561618286 610556537 1000000000000000000 186473588 2152349 172730475 171022072 1000000000000000000 417682914 372428940 256535687 172598284 1000000000000000000 587114859 475982 126114462 558286909 1000000000000000000 578739107 184339305 322535678 41146087 1000000000000000000 496536096 456005778 34640298 226361456 1000000000000000000 999375345 726006616 39303239 856182050 1000000000000000000 565237614 223844314 201097906 516740668 1000000000000000000 18982711 15199861 13003165 10833632 1000000000000000000 675478274 521169543 193436376 157492832 1000000000000000000 189435393 187794084 149385988 68221254 1000000000000000000 880108133 668080982 458519391 74452305 1000000000000000000 33272668 21386509 3738378 28853282 1000000000000000000 463813589 149456290 226101935 323191519 1000000000000000000 202363313 162225546 195426572 139366656 1000000000000000000 454545765 142401402 342644897 52413267 1000000000000000000 220900317 70571192 27173622 57374525 1000000000000000000 107358300 56735660 5548162 100546599 1000000000000000000 510039986 38507391 457123582 10947534 1000000000000000000 468530169 358872099 286818642 68925369 1000000000000000000 382497001 356140007 373415900 188609355 1000000000000000000 724509922 602429199 413954981 662916378 1000000000000000000 571358983 325189913 405988233 495379270 1000000000000000000 619074453 4027718 513064612 505737960 1000000000000000000 812722649 434336408 791001033 465720493 1000000000000000000 387871323 196209199 272482533 371722522 1000000000000000000 891701767 52028994 216415206 95508799 1000000000000000000 810472205 760494821 96051448 392224021 1000000000000000000 488255428 80986960 384734768 398196410 1000000000000000000 951116949 186972373 619183487 793298012 1000000000000000000 178551478 167566593 53844769 159547068 1000000000000000000 511578982 104918832 116536354 184077514 1000000000000000000 322561281 139271632 295559662 233396284 1000000000000000000 353215785 349869346 23829462 336041099 1000000000000000000 557258052 163853945 382538425 418207438 1000000000000000000 56956469 2940630 33350670 34523827 1000000000000000000 724551936 319632427 593370435 506629413 1000000000000000000 942902954 920603828 563622112 14407710 1000000000000000000 803092069 196241082 783468663 464899880 1000000000000000000 113461075 81744885 21540653 112383928 1000000000000000000 16332747 2150439 3252380 10350204 1000000000000000000 273491320 55968407 14312312 110151686 1000000000000000000 947743356 548526568 725727943 196066887 1000000000000000000 465288364 260828826 252049528 231035973 1000000000000000000 539628890 123641978 492385471 524879999 1000000000000000000 660138691 566645980 70155868 365168873 1000000000000000000 726486481 402131282 381787457 113567203 1000000000000000000 446949811 118493626 433706066 274237089 1000000000000000000 190431875 180442329 188657244 24252407 1000000000000000000 167100751 110781221 127835876 60678221 1000000000000000000 178724197 16055810 102782117 118218385 1000000000000000000 777100599 31981897 546609812 131917659 1000000000000000000 434634346 318085119 9294140 189230004 1000000000000000000 800207874 109703166 120634147 437594200 1000000000000000000 670002978 577740952 94582760 237181548 1000000000000000000 494742782 329375948 443426621 175020376 1000000000000000000 355196553 297021013 32546683 224833165 1000000000000000000 495015449 284084296 368527233 143052256 1000000000000000000 757995120 461259763 397902074 66539037 1000000000000000000 685540741 340306273 655354154 425510713 1000000000000000000 755156955 175574583 79722001 405360718 1000000000000000000 409130065 158018587 345848001 34130774 1000000000000000000 702721745 266674033 193238426 621026626 1000000000000000000 870923750 584479310 129547618 187006259 1000000000000000000 59432931 29816432 54443642 47063206 1000000000000000000 934830719 784530958 80970770 152720224 1000000000000000000 200650227 143174507 68874768 147663739 1000000000000000000 243577205 161356761 19204626 150030041 1000000000000000000 36320056 2696621 14146922 24746049 1000000000000000000 529130637 129666378 391549912 462182305 1000000000000000000 968811910 874254094 561811185 758213962 1000000000000000000 419621992 3811355 248455295 202020975 1000000000000000000 934469592 592255222 208459758 172532698 1000000000000000000 970868807 682589910 292932831 770524298 1000000000000000000 490568495 252096945 194493143 394537895 1000000000000000000 826088442 503375573 586905346 515988100 1000000000000000000 703530972 640321683 327492071 117477196 1000000000000000000 70621733 5879542 6180702 6301087 1000000000000000000 174579792 165888881 135239490 52272358 1000000000000000000 91813670 12011100 73738771 51219482 1000000000000000000 404323663 377043201 323502931 384928347 1000000000000000000 200086157 185245281 124352853 135178413 1000000000000000000 467730111 2400397 370170093 413530362 1000000000000000000 844071971 103872160 715462642 493144165 1000000000000000000 545310959 535068426 174439711 310865 1000000000000000000 162363918 88749134 117392285 113937105 1000000000000000000 953566492 236737290 270887686 808588843 1000000000000000000 164177643 103777487 73527682 126560910 1000000000000000000 857490833 26170736 715523169 790758841 1000000000000000000 288603188 63201084 253905091 76723063 1000000000000000000 135847111 63132346 90049730 93355683 1000000000000000000 133684083 50114887 103027041 118743416 1000000000000000000 245111037 773467 239430306 125677821 1000000000000000000 971313786 840211784 487685027 674382963 1000000000000000000 130088334 90321456 53239602 33542410 1000000000000000000 656243436 94988616 161375130 578296491 1000000000000000000 510966161 363362996 29649789 355356192 1000000000000000000 470118522 354670650 2088793 427876213 1000000000000000000 732945259 361342574 77633981 275106536 1000000000000000000 668642514 157349155 318934967 628081138 1000000000000000000 847453559 444511552 14712097 384596233 1000000000000000000 77098108 62535515 76270876 11781616 1000000000000000000 737233802 300553087 51275961 585072751 1000000000000000000 510490465 429733199 446738512 448686162 1000000000000000000 428179397 222956060 82972927 274230117 1000000000000000000 401456405 305415107 69864142 270427900 1000000000000000000 912960853 451860453 420456649 864741440 1000000000000000000 185516072 90050832 159896867 5334187 1000000000000000000 946894770 92526404 844413067 697682190 1000000000000000000 428092010 376278140 51841557 56320891 1000000000000000000 55194142 9355011 52009993 44042236 1000000000000000000 965857375 42859624 504629733 823928598 1000000000000000000 237655824 78359611 3118587 77738676 1000000000000000000 484620092 87685535 209491418 160529834 1000000000000000000 293600120 37254852 109319958 142116231 1000000000000000000 590224264 144645813 121713025 328712151 1000000000000000000 395298302 244990235 260778684 305701412 1000000000000000000 741907636 715292179 168270622 486956796 1000000000000000000 116734558 24377599 97863443 94299485 1000000000000000000 832874238 143314352 510980501 652629470 1000000000000000000 650100570 459213754 502330304 104773645 1000000000000000000 277764647 207589052 6253526 100025083 1000000000000000000 252183107 88021173 99801721 231591714 1000000000000000000 626965547 492232596 537593470 65982301 1000000000000000000 110994203 20418171 15059724 38466957 1000000000000000000 153867274 103593899 11433338 127905145 1000000000000000000 79883369 58637362 1197004 13901302 1000000000000000000 850286779 100738052 501145339 521762748 1000000000000000000 996451251 850476469 289828256 949966327 1000000000000000000 455070904 37629789 389406381 341696356 1000000000000000000 941651206 557518526 820487261 283794654 1000000000000000000 614193490 540074083 204455961 208959476 1000000000000000000 701216209 476448833 323129305 499065076 1000000000000000000 671327367 429024690 602283722 154269310 1000000000000000000 297323305 245147288 25918283 238411898 1000000000000000000 261844246 150669197 26637711 84698054 1000000000000000000 765027414 494591747 661689712 662533619 1000000000000000000 363078244 330807375 122758422 116252201 1000000000000000000 305671507 160283110 126629935 251607776 1000000000000000000 410953329 406450221 54453947 237907753 1000000000000000000 332523509 173915302 117616093 300829055 1000000000000000000 828840028 803269680 111280415 509591455 1000000000000000000 967162838 867355856 91336703 761745972 1000000000000000000 461202559 123331028 185519015 144769760 1000000000000000000 920322716 797443221 137684585 543012071 1000000000000000000 798248335 566805681 355926495 529001990 1000000000000000000 792988639 512412465 384146805 183049936 1000000000000000000 367236574 304626140 268725937 325959469 1000000000000000000 291975275 28273019 274241905 244154445 1000000000000000000 430755975 139098049 157526848 21437288 1000000000000000000 730999354 247756548 680284429 481572092 1000000000000000000 32612945 27022008 14980377 20708655 1000000000000000000 609087831 506406828 170703726 162975446 1000000000000000000 667460271 601967873 465167478 144237879 1000000000000000000 875925486 624972377 570849361 242640549 1000000000000000000 2038632 95167 1208631 810679 1000000000000000000 196158348 83161668 73268565 49104189 1000000000000000000 267648776 245152521 219449530 79917316 1000000000000000000 645672277 106518467 9582605 247342227 1000000000000000000 867153224 609923688 231176334 744035514 1000000000000000000 89122357 21934618 75673500 18411367 1000000000000000000 440345149 431171774 243206763 320606762 1000000000000000000 827699777 348966092 390614468 672674321 1000000000000000000 587286637 314532460 147728545 459574776 1000000000000000000 696019728 550635915 279468888 229989420 1000000000000000000 14474493 7679893 4925626 10945155 1000000000000000000 274525862 139926929 184593156 50902430 1000000000000000000 634614320 72649598 503362536 254550141 1000000000000000000 96751806 34332251 67437375 71597745 1000000000000000000 867863920 776679015 813832042 124782869 1000000000000000000 193038813 181306901 33592726 2166036 1000000000000000000 897356556 438795195 829092110 261734489 1000000000000000000 40646301 29063105 7693282 21562 1000000000000000000 248651613 125313695 3295181 215297748 1000000000000000000 834045165 116212095 199420095 86647753 1000000000000000000 943370173 387190641 738451696 520061181 1000000000000000000 100848673 72293070 57946666 11004305 1000000000000000000 21068215 13170107 17775534 3868660 1000000000000000000 756301004 284308109 71436074 292946272 1000000000000000000 491345340 98861682 456880158 455583019 1000000000000000000 253425455 14610339 164765776 156964722 1000000000000000000 77565876 62176731 8945458 22161235 1000000000000000000 580825124 434956743 449200982 357673501 1000000000000000000 801328506 781811608 336298477 524975187 1000000000000000000 971965107 261598062 904493156 783357915 1000000000000000000 653448152 515780007 606832490 161420873 1000000000000000000 506992222 336482545 142952670 350423517 1000000000000000000 414702038 170117116 316240715 213319012 1000000000000000000 75628348 1035213 35341743 14749396 1000000000000000000 132337716 55931110 17026895 5568836 1000000000000000000 998665144 797925330 622301843 101466196 1000000000000000000 888457826 870315500 828544917 626313343 1000000000000000000 791779347 411258157 328699630 234475182 1000000000000000000 35511470 26058384 947553 19798577 1000000000000000000 306231665 203201665 64688061 93793758 1000000000000000000 404091101 209758710 188798976 138649751 1000000000000000000 495620549 152680332 89205608 461979944 1000000000000000000 423082272 348860168 134569418 135921220 1000000000000000000 12357352 1363585 7907937 4130733 1000000000000000000 337017983 53729100 12001652 261962007 1000000000000000000 266017690 110675176 8214263 104957507 1000000000000000000 183446107 760385 7296172 27771077 1000000000000000000 901856202 782822665 789388366 83713218 1000000000000000000 389089168 326959027 31555152 274902032 1000000000000000000 851182016 368350859 311760108 281805611 1000000000000000000 653658639 226788788 583296536 320718484 1000000000000000000 60422083 9574972 35226320 30831626 1000000000000000000 745331115 217677821 306139496 402907505 1000000000000000000 241374635 179095959 139811601 94363015 1000000000000000000 471893524 9670303 74411710 201140844 1000000000000000000 111659354 50170394 80732726 92824890 1000000000000000000 733259611 626274292 508008096 455540729 1000000000000000000 195733669 142910782 75302013 158993268 1000000000000000000 101242371 78922804 83233155 95037558 1000000000000000000 175434920 142987695 12329904 20565574 1000000000000000000 93175440 76281999 88621092 71525111 1000000000000000000 70548871 1186090 56320393 38952139 1000000000000000000 150890212 31352697 144799420 64600227 1000000000000000000 302396392 16265768 270006875 176723198 1000000000000000000 791162681 171389391 171391566 285725402 1000000000000000000 977954201 797822118 956461465 271952077 1000000000000000000 711814269 95546434 493398016 644667266 1000000000000000000 647435780 454991959 358917230 554754778 1000000000000000000 503592855 369311343 26344546 92881378 1000000000000000000 716657006 514116418 559317634 227191799 1000000000000000000 410643016 404350227 200938835 301761424 1000000000000000000 91498448 4799010 65725837 39713909 1000000000000000000 322610883 162685956 234953287 59149533 1000000000000000000 728988464 522956867 580745370 340513367 1000000000000000000 499910024 236099162 3872767 488407966 1000000000000000000 894124885 300511940 312630728 67526998 1000000000000000000 830508211 138161902 371600507 550243251 1000000000000000000 253432787 226418900 94797853 190998124 1000000000000000000 737188574 62197832 122985517 112529933 1000000000000000000 307602490 97160449 98860585 150819873 1000000000000000000 906021162 296545492 886802328 45905235 1000000000000000000 149688670 2344278 63993484 117121217 1000000000000000000 438225297 125454237 239794702 59099192 1000000000000000000 164730455 68477433 73201496 159183473 1000000000000000000 366701551 246038979 129481512 152049619 1000000000000000000 572213177 550499541 317233647 411415572 1000000000000000000 222547946 129197432 195271276 206759615 1000000000000000000 735904047 520179941 30117795 179404325 1000000000000000000 570228723 190192239 244709492 112456761 1000000000000000000 901985122 507891797 708869549 687804019 1000000000000000000 918628099 535046779 761026701 390370244 1000000000000000000 352121951 60261984 91455858 210012447 1000000000000000000 114692937 90522861 59392671 86206808 1000000000000000000 168714487 150169412 73549011 143796319 1000000000000000000 378337434 81216305 9490880 100176424 1000000000000000000 371213481 292314950 170831631 268151312 1000000000000000000 675987349 298264296 33843943 623855190 1000000000000000000 900309128 519693727 521529180 266228149 1000000000000000000 912418680 393118767 573986965 841394569 1000000000000000000 629465662 526577971 45333753 432190340 1000000000000000000 88792323 42778736 66338790 17834865 1000000000000000000 526491299 5887518 499814821 322476012 1000000000000000000 560282311 221565625 136240183 449154633 1000000000000000000 894355907 140972473 214199636 869778982 1000000000000000000 849438890 414305311 577733456 112799079 1000000000000000000 824881538 48952433 10385091 509218693 1000000000000000000 285981942 171419465 93705161 83786059 1000000000000000000 255649569 16482170 105646910 163953208 1000000000000000000 421298278 296110641 242266237 8274165 1000000000000000000 435564473 27426596 28516684 255268365 1000000000000000000 368253880 210115600 189323043 26132741 1000000000000000000 461326718 406613492 359733364 388143023 1000000000000000000 557710545 317845100 71410029 541902149 1000000000000000000 650020224 396108853 313169984 579299048 1000000000000000000 401374592 89891115 244033815 212041228 1000000000000000000 869085641 479669797 242703803 113273084 1000000000000000000 966203540 926924197 394676203 415899040 1000000000000000000 944047529 696593118 760555285 405565028 1000000000000000000 170063535 155215946 139992136 116667662 1000000000000000000 647839615 460273722 597824772 295845820 1000000000000000000 541533340 353419227 400157458 306906111 1000000000000000000 113790014 45653937 99080118 39388546 1000000000000000000 5027043 901866 219663 571852 1000000000000000000 317447197 270429446 287889739 141208037 1000000000000000000 496179345 161613602 451294179 324303445 1000000000000000000 312049886 284993386 2520681 119715270 1000000000000000000 527514325 438756211 71029277 516282905 1000000000000000000 438416468 56780496 171144369 181879289 1000000000000000000 11035886 4997943 4452457 3624989 1000000000000000000 83326076 40741440 60287646 81090144 1000000000000000000 194757343 27281 122493849 135552771 1000000000000000000 554043553 320410183 276324607 240894791 1000000000000000000 137347514 40632494 127601447 64115152 1000000000000000000 475828990 377704879 370475169 196932767 1000000000000000000 744507511 224958414 262151265 157875726 1000000000000000000 298671203 181491874 292991983 18771608 1000000000000000000 210346069 177069640 118916393 72953598 1000000000000000000 610910088 97109539 123925093 138801779 1000000000000000000 989193285 848969819 264382742 317233279 1000000000000000000 966706376 125644480 424478130 956850654 1000000000000000000 10839420 10709906 463645 6982839 1000000000000000000 842956836 54022793 291179506 6108286 1000000000000000000 899913842 771163390 835845153 566968069 1000000000000000000 650171893 533987833 513852370 230979624 1000000000000000000 162860797 133970449 126683869 117804528 1000000000000000000 984261201 174003217 633085785 422348107 1000000000000000000 139229631 120850525 109052536 34646079 1000000000000000000 202704862 86781277 189660266 133997542 1000000000000000000 25500125 16482286 19583154 3472671 1000000000000000000 999306049 292598842 371061249 376396691 1000000000000000000 554416835 407572691 233149861 544637094 1000000000000000000 377102549 335803555 223514078 70774338 1000000000000000000 875370295 837093119 239738784 480556785 1000000000000000000 185989227 50117192 92175475 170853940 1000000000000000000 460565635 444336797 377721515 415224101 1000000000000000000 690139031 102231443 86745398 319234237 1000000000000000000 981646099 606596246 307773793 399559933 1000000000000000000 888267291 548964099 684539323 268690486 1000000000000000000 642271445 182194268 208521620 608185693 1000000000000000000 374286694 239623150 200552670 255377419 1000000000000000000 983412850 45282474 836030137 577510000 1000000000000000000 770704771 343490343 762893175 689942211 1000000000000000000 3094328 1906532 2510227 969749 1000000000000000000 131676366 20998621 105783958 118260134 1000000000000000000 790719866 578761413 603730697 480217168 1000000000000000000 500850235 89344130 314995610 300517191 1000000000000000000 342833447 238118986 212578774 280648735 1000000000000000000 179882993 104285653 124042532 153776586 1000000000000000000 602349083 136636008 3181140 185634914 1000000000000000000 124538101 89154701 102740279 107659654 1000000000000000000 195180452 90106615 45259793 32562106 1000000000000000000 531043481 195867038 172532001 259994513 1000000000000000000 249571192 144669074 60085112 39360796 1000000000000000000 542375219 18928311 528363215 69899207 1000000000000000000 623515440 317116412 449068328 435601680 1000000000000000000 432623223 82812027 299276213 122209158 1000000000000000000 829058737 153447844 707525932 499490040 1000000000000000000 661529069 49363577 428648089 78157354 1000000000000000000 283704547 183130698 111115165 104190645 1000000000000000000 109465905 31709467 66334612 91396774 1000000000000000000 681112871 246972213 645603952 602798419 1000000000000000000 309131802 227823030 151248176 170063711 1000000000000000000 837481407 688675629 819354145 90511997 1000000000000000000 323899704 300489861 158171002 236043728 1000000000000000000 451902350 230268692 177935361 350701151 1000000000000000000 878964282 48908695 454293247 89312092 1000000000000000000 33766256 32534893 33293106 7883264 1000000000000000000 766537646 481346594 94991392 635633228 1000000000000000000 996880839 927626022 763280537 462423248 1000000000000000000 6267756 3427337 3877053 3141385 1000000000000000000 642158894 261464424 161629355 336662656 1000000000000000000 139839497 50961744 69684061 4555325 1000000000000000000 38844272 38122451 1565641 28174106 1000000000000000000 330259209 88891878 219776788 142907947 1000000000000000000 589729547 478230113 521850520 14875445 1000000000000000000 994219964 889626332 761591656 936002186 1000000000000000000 953639067 19199752 861780406 76046691 1000000000000000000 617759242 311955218 155166197 182286710 1000000000000000000 451573590 267894217 114526138 123336095 1000000000000000000 622606224 554927605 593173277 354866895 1000000000000000000 568527485 189437740 123551053 347571231 1000000000000000000 175196974 114641019 16906215 48557342 1000000000000000000 306909243 63660536 104112724 108418815 1000000000000000000 834314577 625052464 813853269 233966985 1000000000000000000 636940809 215297034 32558731 431441764 1000000000000000000 315085413 177007106 268582976 168845136 1000000000000000000 717040930 41924590 705705642 399427078 1000000000000000000 741931472 298394742 421561517 651900177 1000000000000000000 251989185 230914484 37608785 54624587 1000000000000000000 952876138 913915330 613106165 753307308 1000000000000000000 927648665 288764808 633646083 854610641 1000000000000000000 936120385 77738247 733224167 827067951 1000000000000000000 396751691 379560236 386865537 206525506 1000000000000000000 392708687 71417625 343003801 391147486 1000000000000000000 915599913 28107401 145922958 864664163 1000000000000000000 362319653 62933415 36586529 331782876 1000000000000000000 599815497 556567922 117662436 457564642 1000000000000000000 529377143 504289393 525472069 8195863 1000000000000000000 508039134 284733555 377116883 407201805 1000000000000000000 964430689 955960276 545240455 450174465 1000000000000000000 335153986 294779691 332255372 194397870 1000000000000000000 99452506 59888950 47084220 28589211 1000000000000000000 27459015 25369878 20322324 23147199 1000000000000000000 251463973 171581525 247685075 57785118 1000000000000000000 338890028 45047865 320801436 189913283 1000000000000000000 234591510 163929653 10577095 109033522 1000000000000000000 858703046 38735272 496009144 445484510 1000000000000000000 267189645 157823808 245219281 139739050 1000000000000000000 159678827 87729212 70503827 66808903 1000000000000000000 953785139 857674990 854808707 705249443 1000000000000000000 835215078 22325398 256606679 379912352 1000000000000000000 510566729 181790901 138101643 178718523 1000000000000000000 56845437 19820704 20398257 13781178 1000000000000000000 625876061 515752067 30010828 256261836 1000000000000000000 105086598 20608140 41679671 68814786 1000000000000000000 59981655 7656477 30725534 24172673 1000000000000000000 521403141 131955861 262085370 49831152 1000000000000000000 176067781 20930894 115364908 126436981 1000000000000000000 6416931 5168141 3773784 497251 1000000000000000000 138180643 70474184 103189166 10451941 1000000000000000000 964957285 422018215 253209175 489746774 1000000000000000000 535798533 415881361 350657460 359734755 1000000000000000000 121554485 82226841 46549912 87587367 1000000000000000000 570965341 507741225 372624868 249115276 1000000000000000000 761574161 493077502 336796794 500829210 1000000000000000000 721508805 530696139 104834533 246338060 1000000000000000000 774289812 241224101 618859015 351270061 1000000000000000000 840332682 480248595 809265678 353618163 1000000000000000000 733400548 17592393 44576036 652810560 1000000000000000000 939954144 794322417 43208357 277622459 1000000000000000000 98370999 93898618 45741558 14564629 1000000000000000000 517889225 269852968 346743061 22573349 1000000000000000000 923030 46570 707615 488839 1000000000000000000 146789759 114457369 139193799 55693156 1000000000000000000 953086884 946852422 390665698 604637434 1000000000000000000 394431071 242246273 231574611 162484393 1000000000000000000 819765579 115087328 312600396 305425691 1000000000000000000 881222729 625092445 176886178 398395811 1000000000000000000 342221510 273469080 254826899 250640920 1000000000000000000 489910268 342599064 42126551 203450029 1000000000000000000 705681100 540014963 85708647 200551607 1000000000000000000 364937433 359150444 270123827 273334879 1000000000000000000 486830438 341133978 305977523 367578817 1000000000000000000 134159942 8382656 25220857 26994470 1000000000000000000 734445143 699257746 515043209 623101996 1000000000000000000 189679986 170970755 57326874 51029417 1000000000000000000 910405676 313848684 778248643 68466018 1000000000000000000 634740629 454204863 115738495 370113149 1000000000000000000 401380 113045 5977 130302 1000000000000000000 108572827 74759312 19546320 78219036 1000000000000000000 121810120 102822120 105824429 13644036 1000000000000000000 923386072 507552833 922753607 251649240 1000000000000000000 794398886 404882360 176004305 60882380 1000000000000000000 181644765 68403295 71553507 105796424 1000000000000000000 869310311 239479076 49857185 332814002 1000000000000000000 521991078 367411574 448759146 323585088 1000000000000000000 78418112 30775511 75983916 48477068 1000000000000000000 203258347 107675041 13716810 4254968 1000000000000000000 657915828 374296603 574274492 91006822 1000000000000000000 464692699 10313958 55305342 391913531 1000000000000000000 600373451 282927139 6539787 277575176 1000000000000000000 917391583 439222108 544866740 473974273 1000000000000000000 746292376 319696356 64254165 646667022 1000000000000000000 832758766 529362600 530608972 336407411 1000000000000000000 836717374 626659175 34651232 210495657 1000000000000000000 373600056 164556773 164316604 84963893 1000000000000000000 195887430 161541352 64460826 164502135 1000000000000000000 869909237 430699763 135463058 330293930 1000000000000000000 45175641 5797403 40249910 10003010 1000000000000000000 86755485 66874201 19438569 76724643 1000000000000000000 247805248 137886311 196025894 166578343 1000000000000000000 810464231 736553687 403681407 28095976 1000000000000000000 282888307 112171866 24923253 46378358 1000000000000000000 878774286 482289953 216338709 40903721 1000000000000000000 827272921 61743570 111270240 533275901 1000000000000000000 246727274 226326609 99142175 179922360 1000000000000000000 239714527 47347129 34649352 205068692 1000000000000000000 494599733 472410934 254776207 441803297 1000000000000000000 542348252 166630161 51800017 256563323 1000000000000000000 347866811 325933300 68564600 254353200 1000000000000000000 369928031 87417634 216227493 74811336 1000000000000000000 685056664 176206972 19155947 103613829 1000000000000000000 400153262 355583815 285652191 87554536 1000000000000000000 930624363 469299830 468671196 893819412 1000000000000000000 390993409 193729780 8157782 199709038 1000000000000000000 206878750 182473224 168913786 27288100 1000000000000000000 13102163 7350657 6223273 12799232 1000000000000000000 916881175 397372232 802976521 894089024 1000000000000000000 803389889 536808740 670331669 43544352 1000000000000000000 324856547 99995510 302166529 76103998 1000000000000000000 130213681 125840839 77157167 24347042 1000000000000000000 42920171 37242805 7940162 10868327 1000000000000000000 854185768 555063802 723442353 539939668 1000000000000000000 836171471 673047853 827115698 612820187 1000000000000000000 55106491 29238845 30990529 31666918 1000000000000000000 514480136 334493313 394600500 454422910 1000000000000000000 486188098 299325104 306341685 16922530 1000000000000000000 370901726 364928578 158225865 122989683 1000000000000000000 818470522 342241846 426049027 762970921 1000000000000000000 907555828 625735806 590971639 417472834 1000000000000000000 810692890 501677217 140528119 499193740 1000000000000000000 477613221 24493202 210052637 213085930 1000000000000000000 838830725 523936046 237301806 279497086 1000000000000000000 634447787 267571943 85915176 466666018 1000000000000000000 207139523 60846077 20441411 133153230 1000000000000000000 854945594 371056390 330197960 325360643 1000000000000000000 824521963 312623109 819297045 604864916 1000000000000000000 598214337 487196414 310655197 584178148 1000000000000000000 773923842 335721360 292951922 327814895 1000000000000000000 157413150 72034487 83103500 83041907 1000000000000000000 161186989 115262032 107950719 146439351 1000000000000000000 715835332 202704064 409585229 405809292 1000000000000000000 190998037 166613573 80842492 178265110 1000000000000000000 30230772 6844816 2186829 30171683 1000000000000000000 144864269 110922149 116665173 26599110 1000000000000000000 168542349 134295300 133859830 135839173 1000000000000000000 416960430 191082321 221453598 300972970 1000000000000000000 846194955 154112680 764732095 595350154 1000000000000000000 426659718 89260791 187523859 401494571 1000000000000000000 129897334 128958418 40409363 14089644 1000000000000000000 318848179 299800367 75507725 317723072 1000000000000000000 677539185 45922742 77342615 199536883 1000000000000000000 193635556 42953425 69232499 175963616 1000000000000000000 36286483 13225661 15408604 34470621 1000000000000000000 149796652 8632210 149229520 149521516 1000000000000000000 33548176 4380221 30113513 18494052 1000000000000000000 354660364 174603327 46810857 13843852 1000000000000000000 256171381 11706585 5696241 200295897 1000000000000000000 817550099 508876738 770217804 617623050 1000000000000000000 566000022 301386102 423455051 179754936 1000000000000000000 284309072 271490744 54782061 156355351 1000000000000000000 339548948 123710612 52445432 79794041 1000000000000000000 990642273 198087526 296626872 253356900 1000000000000000000 605138319 56013259 548831329 553930064 1000000000000000000 409479072 86621204 347517660 215379539 1000000000000000000 898066866 437305539 351671115 199008365 1000000000000000000 700461027 503679611 358578658 461238369 1000000000000000000 299486411 160853427 15182914 231598266 1000000000000000000 989435820 904972843 58947373 129325806 1000000000000000000 737677632 262855823 662857491 461065245 1000000000000000000 648260656 275475574 571342831 243142405 1000000000000000000 336669291 315755590 322914206 297896591 1000000000000000000 425983163 30929579 8510144 63941064 1000000000000000000 207635317 162484894 132663922 121321205 1000000000000000000 242501785 196253212 117182143 79659839 1000000000000000000 623568674 224964877 614785385 611364465 1000000000000000000 928240876 208402721 58497962 831390627 1000000000000000000 489439543 170372986 371723994 62717606 1000000000000000000 243665000 42158433 61158260 34095011 1000000000000000000 211320798 205170684 210904446 14459430 1000000000000000000 75780059 7204610 12937776 54574135 1000000000000000000 684405385 212315740 401475632 164297037 1000000000000000000 76322955 63299296 46122917 72536327 1000000000000000000 685484778 179171037 227726220 170092364 1000000000000000000 796889480 541051386 542204376 542382001 1000000000000000000 379944737 276845736 223382797 20644045 1000000000000000000 47900871 46444217 21045675 35713983 1000000000000000000 492709631 197793829 34939646 251537364 1000000000000000000 111410217 86682739 46157174 72059848 1000000000000000000 499282845 301929786 124736310 34721172 1000000000000000000 269943751 26615335 179099297 234197036 1000000000000000000 263684732 67228013 216860643 160451022 1000000000000000000 481312526 136422714 481119574 405561099 1000000000000000000 590390702 426713218 368370667 537444997 1000000000000000000 589495350 383687896 555395802 230580184 1000000000000000000 29689318 19469797 2816916 10420026 1000000000000000000 526607018 148353053 5890929 394320170 1000000000000000000 29484824 10381349 21804441 29391165 1000000000000000000 687623614 94487759 488378492 2864229 1000000000000000000 214358611 208560324 163957954 90339109 1000000000000000000 264900839 2235555 181183781 30523462 1000000000000000000 911563197 184634637 634735144 667579154 1000000000000000000 754418982 304146222 638334049 628586477 1000000000000000000 630967080 405537691 51536207 144528016 1000000000000000000 830751574 127444856 52952488 143639387 1000000000000000000 806883625 110972458 124554903 208329493 1000000000000000000 267435415 93554526 226086091 59723922 1000000000000000000 598520608 75089045 97432552 375234107 1000000000000000000 269739846 39715839 23484770 198342631 1000000000000000000 192579497 165947194 19466183 56640261 1000000000000000000 548979622 307105350 543994810 528722904 1000000000000000000 959099093 769233913 518918623 526014084 1000000000000000000 962051292 562936247 437448749 477753445 1000000000000000000 742790564 184675543 171326904 7843546 1000000000000000000 988956761 965710212 105865940 159997598 1000000000000000000 701586549 383728832 667537167 447551775 1000000000000000000 659317493 353706520 346431973 146071598 1000000000000000000 814847298 422154164 304599062 334119685 1000000000000000000 364470473 25489773 175521004 58942460 1000000000000000000 454583429 224587115 209481509 186348859 1000000000000000000 416634721 43577899 45942964 54389310 1000000000000000000 972137424 483825127 227539332 605555253 1000000000000000000 645744836 69639103 92049332 623522208 1000000000000000000 839476129 119783632 251525699 304383637 1000000000000000000 624352880 482276713 211048510 177731783 1000000000000000000 999695358 300451004 703828364 638335672 1000000000000000000 714049442 264252627 339336888 458931109 1000000000000000000 97872098 13373276 80331214 84739462 1000000000000000000 920598173 359160260 826780575 485080501 1000000000000000000 872376589 231688421 113914490 702566115 1000000000000000000 229781482 161711617 164146042 95879530 1000000000000000000 584074138 362325045 307766266 575411482 1000000000000000000 76158444 16667817 50297460 46462851 1000000000000000000 345297158 34452424 94191549 247232646 1000000000000000000 605796895 188582598 592587545 417533539 1000000000000000000 692463400 279409877 249095878 689602820 1000000000000000000 795985147 377874666 36732424 7442060 1000000000000000000 404266143 342302603 226353425 258125854 1000000000000000000 351965356 314081506 70561629 129500432 1000000000000000000 853364259 51067886 463620333 445453059 1000000000000000000 631729590 601278317 311785887 248856253 1000000000000000000 246958619 170632815 24018057 67863989 1000000000000000000 129987677 41313739 34260199 9426150 1000000000000000000 291488057 207354145 5399915 264540574 1000000000000000000 704292427 473986089 240511656 387106218 1000000000000000000 538394389 125571706 401631373 327640280 1000000000000000000 628998038 23740720 510606678 31920060 1000000000000000000 538565303 317491297 66037855 367169098 1000000000000000000 823879992 2627760 602949991 742316238 1000000000000000000 698747201 461452782 244230199 521068742 1000000000000000000 489295582 440590681 27609524 324095880 1000000000000000000 745506990 552523317 526700989 19725549 1000000000000000000 420073893 269561963 265723112 39415392 1000000000000000000 735375542 30168362 150743112 342240346 1000000000000000000 626598667 445350242 306601365 587866168 1000000000000000000 427033560 201243922 214110942 363954346 1000000000000000000 149295974 86464845 84093868 95799273 1000000000000000000 228007381 122658747 205068452 152879520 1000000000000000000 126411984 26635759 116827030 79840946 1000000000000000000 165308699 129075883 133480505 3726769 1000000000000000000 539937388 168371846 239147703 533029692 1000000000000000000 486733344 116803146 304518964 79270349 1000000000000000000 745539039 552891265 580765093 244216789 1000000000000000000 15956603 4168322 495567 9946642 1000000000000000000 414902379 273073001 34333532 353249498 1000000000000000000 786073340 522240643 529606697 384131891 1000000000000000000 411397014 21063621 341787043 283336824 1000000000000000000 216676349 165166276 101786753 209652999 1000000000000000000 282163031 218053981 129162342 131883689 1000000000000000000 137950046 23113961 1968073 38276124 1000000000000000000 915231582 736717723 61095834 527265467 1000000000000000000 289895684 128929478 42189108 74535776 1000000000000000000 925327553 281853532 923220970 787655976 1000000000000000000 699669564 394685112 545066149 89432745 1000000000000000000 228951587 4579768 69817164 130530692 1000000000000000000 738741860 163994303 610727895 403842140 1000000000000000000 17637236 3487148 10932386 11795790 1000000000000000000 80547356 18518460 63146363 62101014 1000000000000000000 145405895 37005722 4936436 75836258 1000000000000000000 191626246 73511154 167655234 100048930 1000000000000000000 726808869 115677853 615323026 649548929 1000000000000000000 333868337 14899046 263968245 105637330 1000000000000000000 928772005 8994525 321608402 197926491 1000000000000000000 648752721 334310659 629697629 130890158 1000000000000000000 486224801 33624402 357628939 151698156 1000000000000000000 611346671 178762777 509138655 554879209 1000000000000000000 400304926 128164894 290301415 129788217 1000000000000000000 718960109 235921191 306318009 528420661 1000000000000000000 686247979 676250467 348448697 609430916 1000000000000000000 297999039 41687132 181586553 13195524 1000000000000000000 322148378 137058424 180391181 132492995 1000000000000000000 590687948 44982292 562795051 422121170 1000000000000000000 611734490 368710153 358695615 394924875 1000000000000000000 895092828 572570330 891817987 373162223 1000000000000000000 453719194 340616370 164503338 46638414 1000000000000000000 781338892 51359584 610352447 130832029 1000000000000000000 759428832 119601464 195490386 105081961 1000000000000000000 190261858 83336560 41371397 119651489 1000000000000000000 62449755 40621470 60635329 31620295 1000000000000000000 976255479 456638405 185591265 670396603 1000000000000000000 572931148 192510475 485868376 18897151 1000000000000000000 559008901 348117810 59949362 547320383 1000000000000000000 659020614 114217373 488801375 137444836 1000000000000000000 598311878 515321965 298696230 329678968 1000000000000000000 340727742 53954711 49264055 229993705 1000000000000000000 515358158 207482044 228472426 430851146 1000000000000000000 519936071 420995048 405855540 53668362 1000000000000000000 219934365 85347099 38764916 74600814 1000000000000000000 685713398 512086749 494071331 388177362 1000000000000000000 685681816 443213574 545721889 450600938 1000000000000000000 27704540 27195928 16982037 2824127 1000000000000000000 451967072 359279593 118913869 21154351 1000000000000000000 579217384 59351671 190735950 428701148 1000000000000000000 924005827 362102108 563372828 732664508 1000000000000000000 786687117 648852168 781166230 413650906 1000000000000000000 521216115 267637057 136106220 492180123 1000000000000000000 743078557 541496979 590543304 86392205 1000000000000000000 557224491 118286208 280013971 354265810 1000000000000000000 812866006 427942289 678407562 37009551 1000000000000000000 525736336 285021955 166660746 360423087 1000000000000000000 205654373 176862917 87725928 148309940 1000000000000000000 106257152 18019421 104207181 36640059 1000000000000000000 784051688 418672525 725234441 505874728 1000000000000000000 308075943 235441673 129232031 246997381 1000000000000000000 544250303 297041008 408599777 291690556 1000000000000000000 945569759 365232292 300555266 243487442 1000000000000000000 907021573 882198592 176649933 774637480 1000000000000000000 14758499 9973399 7621304 6870563 1000000000000000000 859519009 114521985 626569909 505217495 1000000000000000000 198245607 23370810 145559326 176626698 1000000000000000000 265135544 119846182 199991542 118154496 1000000000000000000 353572668 56740883 52280255 277518171 1000000000000000000 528871889 191711576 340144303 135582758 1000000000000000000 522273944 402455448 26096504 197767346 1000000000000000000 309748467 13157886 60151304 301496520 1000000000000000000 726097903 539748272 507047774 311583484 1000000000000000000 499249076 14479526 257980772 311105335 1000000000000000000 935961803 117692629 156503733 527863785 1000000000000000000 850791082 780582760 240334516 194602098 1000000000000000000 904287535 158533121 631641234 18955177 1000000000000000000 510315507 197983784 17376332 234073797 1000000000000000000 229399661 151011189 194179320 21711266 1000000000000000000 545571545 161540716 507925494 266516093 1000000000000000000 703335275 109431055 702448005 535808555 1000000000000000000 792244333 35625607 313968349 527142499 1000000000000000000 37687790 22857238 31993616 19251843 1000000000000000000 652301769 506212853 536302931 142678560 1000000000000000000 784286361 492761558 267162041 434505301 1000000000000000000 238416026 62077941 104709550 208028384 1000000000000000000 641433399 132378278 74250805 330438046 1000000000000000000 962668984 538189186 755318985 724261690 1000000000000000000 958769484 650356485 79162006 807285163 1000000000000000000 729282013 211927153 298916364 234799352 1000000000000000000 616529046 348482921 227088238 70584790 1000000000000000000 945192392 694204867 430463676 556333937 1000000000000000000 688244454 228818356 185664379 545530611 1000000000000000000 512583882 318102004 112866899 23243549 1000000000000000000 195055721 55747469 69287242 115093012 1000000000000000000 896250557 119828743 270247414 860223946 1000000000000000000 260992498 135616053 148491795 155228271 1000000000000000000 873408705 150699577 852689015 194899197 1000000000000000000 304092734 29551505 182786177 70397012 1000000000000000000 227993402 133738518 133207072 83760882 1000000000000000000 808131244 650424781 222621427 161607439 1000000000000000000 683276080 424537858 371738087 668995194 1000000000000000000 143434459 18388532 10151310 18719801 1000000000000000000 184821756 20724673 149965621 65529235 1000000000000000000 16698477 12708534 10990876 4014398 1000000000000000000 867648146 582391912 185185494 182426434 1000000000000000000 162168685 155212801 101050461 2936519 1000000000000000000 653217211 338596455 473130884 313262680 1000000000000000000 252369043 142036022 177800642 97277919 1000000000000000000 223060470 102473866 73681207 20355873 1000000000000000000 677585186 561724814 393982518 139613998 1000000000000000000 424347683 167825752 122356449 414175518 1000000000000000000 125470841 113065877 110520611 26517908 1000000000000000000 998925532 459672897 599152840 371138125 1000000000000000000 416407380 35256870 39937186 66150286 1000000000000000000 513073047 119195131 125128606 58102313 1000000000000000000 915351624 241396958 320891734 616435608 1000000000000000000 861659968 373597937 733666168 747556096 1000000000000000000 168943344 161160683 102010048 2449078 1000000000000000000 924844444 840586501 66956554 765051113 1000000000000000000 223770779 53815716 150458512 140455219 1000000000000000000 720958406 690415923 60202730 438565804 1000000000000000000 408459545 252232063 34734657 264103814 1000000000000000000 635934030 367620110 479012228 102927129 1000000000000000000 677342527 254894697 318214380 82497504 1000000000000000000 638541715 543902249 447745211 332261439 1000000000000000000 26019278 10171303 12126762 11388829 1000000000000000000 836807180 606716706 306387216 329054038 1000000000000000000 416235826 200509446 371060393 150706844 1000000000000000000 13999288 3934021 5225960 10946741 1000000000000000000 312769017 202628900 161941161 11624068 1000000000000000000 818216654 425545883 18037103 583050330 1000000000000000000 649549804 361339703 90483170 571870103 1000000000000000000 248092362 128237862 139072675 207725347 1000000000000000000 486446356 456308682 163197217 317193272 1000000000000000000 727997937 470376121 545117357 20472668 1000000000000000000 541435517 456892076 231053100 6325836 1000000000000000000 343806458 47928724 220081220 13713616 1000000000000000000 413941506 354726747 83225931 362028295 1000000000000000000 634421632 590505452 503807603 286003481 1000000000000000000 560581897 351089284 434512613 251024971 1000000000000000000 122469097 50772650 37614883 97593955 1000000000000000000 657013571 311751898 637727031 457987421 1000000000000000000 735888199 499335842 69682867 238650319 1000000000000000000 961252688 717965634 30451609 90610892 1000000000000000000 409684848 172153730 79633890 81858630 1000000000000000000 244538601 161476610 98792239 113244511 1000000000000000000 889078503 84257393 323633972 249242480 1000000000000000000 649539717 622954473 263479689 237533276 1000000000000000000 933809645 881481477 395723205 286856755 1000000000000000000 440876888 232147798 347828751 113024391 1000000000000000000 630218999 119032338 457543289 2407907 1000000000000000000 302214629 164237582 152086899 250822098 1000000000000000000 815177904 149420377 293981888 362693126 1000000000000000000 465018885 451479321 305470707 292410205 1000000000000000000 793213261 690008327 245657997 450259761 1000000000000000000 929618687 488521121 818648595 173808165 1000000000000000000 183883677 140165297 37011806 163139204 1000000000000000000 603606349 129994375 142127752 590236400 1000000000000000000 26706193 18681630 23428825 816544 1000000000000000000 487708339 322379222 239527141 362213961 1000000000000000000 78268551 36181228 30595592 18938206 1000000000000000000 140942536 137334805 71937043 26067801 1000000000000000000 819669982 470964143 207071964 436647772 1000000000000000000 705644659 318245559 672007809 20039571 1000000000000000000 385320995 25348858 270092455 7102477 1000000000000000000 231614632 117594195 200676909 209987695 1000000000000000000 10975311 2391645 1459552 9496071 1000000000000000000 845738454 205650135 615142882 221226205 1000000000000000000 966010486 302398562 714534143 574054896 1000000000000000000 989339216 226941263 887207876 879957820 1000000000000000000 808118971 370380444 134644813 406657185 1000000000000000000 301576719 255430792 191959888 83017201 1000000000000000000 989868869 788988252 969783537 174588200 1000000000000000000 529251369 147076358 44525847 227890197 1000000000000000000 248104473 58875414 184290354 154564747 1000000000000000000 640291501 151197229 310745574 546894631 1000000000000000000 42530403 8428812 10298686 13021448 1000000000000000000 963517727 199083107 657268942 93335758 1000000000000000000 790116529 383503319 249295241 723090793 1000000000000000000 819175036 792903718 114174688 164938548 1000000000000000000 912473515 194797759 696790899 208023506 1000000000000000000 340196450 330540234 60250001 227403108 1000000000000000000 732593081 455219983 129478277 507744679 1000000000000000000 818616419 15080028 799105160 203068961 1000000000000000000 632985134 123289754 495474994 245475963 1000000000000000000 11959647 588354 9212921 3612718 1000000000000000000 636161707 3182711 37496865 127632591 1000000000000000000 776420081 348714374 67239911 519746547 1000000000000000000 296553337 121024706 177728610 118926427 1000000000000000000 79082906 77026688 41652285 39164317 1000000000000000000 628951941 350581302 330686824 408638636 1000000000000000000 271934009 222592790 84237898 171758387 1000000000000000000 271648883 197082353 105910050 156781026 1000000000000000000 836309801 304575210 797863076 424576295 1000000000000000000 223609362 153880071 220463498 182804750 1000000000000000000 74609531 65233001 39070716 44096579 1000000000000000000 183440369 173515228 163448199 134451792 1000000000000000000 278904722 108864437 259510744 166538962 1000000000000000000 309950872 271638984 226703678 103263513 1000000000000000000 870996374 564909778 806016482 331256835 1000000000000000000 576786773 220167344 556743143 110124267 1000000000000000000 676284424 207521839 578356891 166419898 1000000000000000000 975317188 283168331 216042791 624287311 1000000000000000000 313250325 183273298 235514899 170709651 1000000000000000000 518785471 38110622 92209581 252259015 1000000000000000000 824295394 173397267 522672378 368568563 1000000000000000000 756881566 540120497 654651745 583337527 1000000000000000000 600762535 275118241 215395851 289899753 1000000000000000000 607956469 523450011 97897053 161301788 1000000000000000000 603760850 85481561 166624964 234510023 1000000000000000000 643507881 178592814 628650708 381333272 1000000000000000000 943713155 487110448 378855654 371476123 1000000000000000000 212000034 144700038 9431699 88479566 1000000000000000000 105755462 80827545 15914868 14796991 1000000000000000000 917084991 179851588 379750592 201698261 1000000000000000000 173254719 22812110 31647179 151172930 1000000000000000000 163584887 152973002 151714840 76862237 1000000000000000000 600211967 254683170 54251680 28652804 1000000000000000000 449286503 172279324 336181208 267225159 1000000000000000000 884078181 512051909 283283119 103169905 1000000000000000000 108151941 92940308 25165950 7585863 1000000000000000000 507439753 259692393 363745508 81729692 1000000000000000000 177375737 128731124 14369048 116639556 1000000000000000000 49576882 37295729 23923906 14778888 1000000000000000000 992909835 575503333 460076685 119048770 1000000000000000000 991908520 533367686 573920819 974042198 1000000000000000000 463125625 114291643 374879212 50356741 1000000000000000000 958523091 320607352 466610665 140120713 1000000000000000000 644030248 191528081 323609055 76563911 1000000000000000000 476548689 284991919 238225329 305171475 1000000000000000000 708931664 144436977 228023825 424375173 1000000000000000000 286475565 58524412 221583892 280566083 1000000000000000000 196017081 61684951 34948177 98338526 1000000000000000000 672713524 518204874 670930046 455136411 1000000000000000000 714120830 616096697 286281856 635968704 1000000000000000000 39138675 11104951 32430933 29092990 1000000000000000000 462109101 231794581 151943887 45214386 1000000000000000000 576737635 96777235 53364472 469148662 1000000000000000000 832308532 424696747 726736925 23045236 1000000000000000000 209555754 144069492 181656324 69550078 1000000000000000000 98878079 70906391 23852502 31118711 1000000000000000000 812484731 97210900 57510118 234510521 1000000000000000000 426817895 225321601 391995430 181839315 1000000000000000000 878497157 770420237 714805952 224935771 1000000000000000000 563216055 103665909 121651066 341790910 1000000000000000000 751493160 24569328 110406362 353747201 1000000000000000000 886754148 100129041 589564906 668401519 1000000000000000000 53958030 37386824 37524864 35756928 1000000000000000000 230683883 169120396 38333823 223935893 1000000000000000000 179784038 24083766 24642365 124228701 1000000000000000000 16109190 1599152 12150955 13695193 1000000000000000000 789269033 168985736 40971278 756389479 1000000000000000000 696988169 319687423 136604086 607306044 1000000000000000000 316279652 256280708 267537968 167986237 1000000000000000000 383389906 185949308 157460711 332354147 1000000000000000000 710735918 414849447 641646424 290876161 1000000000000000000 537488803 365566231 40568059 327472340 1000000000000000000 898165935 142978190 17614925 79735963 1000000000000000000 731685253 321163018 437645181 654056086 1000000000000000000 671843703 399298957 412686850 253566332 1000000000000000000 13689320 9076331 9027261 4948320 1000000000000000000 95881728 86489963 9481599 59832375 1000000000000000000 177882629 114626577 89141636 55359294 1000000000000000000 862434669 392737079 516683855 334480350 1000000000000000000 786494825 645863415 447743865 493681885 1000000000000000000 237035044 168166910 199309341 47987612 1000000000000000000 763042929 512845727 330227416 427201438 1000000000000000000 485517240 331324803 305265721 288879773 1000000000000000000 973141415 234672121 418063323 87664148 1000000000000000000 7224463 4955149 2341121 247966 1000000000000000000 17873741 2673671 17390211 3449632 1000000000000000000 232864965 51447137 125396659 127353761 1000000000000000000 983876965 471427612 959047251 631419829 1000000000000000000 808261833 293726510 80400573 628833468 1000000000000000000 962823785 634788689 631790933 257990628 1000000000000000000 456721242 313850088 348290352 96186367 1000000000000000000 653688432 211396619 158325503 21993592 1000000000000000000 274124649 115454202 48386767 208855262 1000000000000000000 827240845 183921426 750048193 563263704 1000000000000000000 984841779 19872839 862338227 377540178 1000000000000000000 980704034 177075662 881933346 604527279 1000000000000000000 984663999 280651578 470766019 52639083 1000000000000000000 714937687 223081551 449998833 630547323 1000000000000000000 248554914 208247890 59039404 85757357 1000000000000000000 654439243 433562811 522425135 566200484 1000000000000000000 956275658 635283184 727838871 157742477 1000000000000000000 975444716 398854713 49425775 222549160 1000000000000000000 629650154 277564656 91956177 486252882 1000000000000000000 357210099 345470180 343994519 222455550 1000000000000000000 607669932 437550720 170147139 424035295 1000000000000000000 135178725 116533513 12687883 3601367 1000000000000000000 242175409 114989149 174641781 192291413 1000000000000000000 194100590 1367730 44540783 155601296 1000000000000000000 682473833 227195069 290303663 279271590 1000000000000000000 656823841 560097365 66120222 512806076 1000000000000000000 999535550 144779031 861157891 308327724 1000000000000000000 902681409 211158131 831068992 619768482 1000000000000000000 430112583 247825287 179409890 243297703 1000000000000000000 909086915 80378334 359467361 660721742 1000000000000000000 47481190 35905644 12181147 14676444 1000000000000000000 789712088 268665600 351342664 151160435 1000000000000000000 426684655 210851873 52928760 232283934 1000000000000000000 119482807 68179852 97897252 68103752 1000000000000000000 818563704 815625533 665994195 746434680 1000000000000000000 677790713 544164885 411504117 406867487 1000000000000000000 264220207 74108414 112561925 121093052 1000000000000000000 58186243 10849524 23533232 2945294 1000000000000000000 359253859 233046330 164683485 243229794 1000000000000000000 758856221 596145381 665029921 479422727 1000000000000000000 330352733 234745939 319802920 206622414 1000000000000000000 942126495 858255909 796475934 722528702 1000000000000000000 445653784 58261007 362732104 164774984 1000000000000000000 375243055 71085281 324102001 70099800 1000000000000000000 163952155 107542254 7152900 2201688 1000000000000000000 616340273 363330049 181259163 323955133 1000000000000000000 810694812 768618737 146120095 772753318 1000000000000000000 200049023 70125809 145425200 143601652 1000000000000000000 938121373 725314776 276488918 71327971 1000000000000000000 785670956 234482261 17557361 293121848 1000000000000000000 338730531 55509455 24430748 235095345 1000000000000000000 837516124 269283976 531946425 607394374 1000000000000000000 206562844 193332707 197139453 130751603 1000000000000000000 262528980 121386009 252228579 68078440 1000000000000000000 436386784 164272299 272752341 44770773 1000000000000000000 230244640 87596426 38923284 100214687 1000000000000000000 970554567 748582167 810495501 308530030 1000000000000000000 321274940 44131843 34808951 113955779 1000000000000000000 476775611 64121391 167935144 388722121 1000000000000000000 193998233 124723788 87139851 123977756 1000000000000000000 115264816 31402446 31580247 33037167 1000000000000000000 611451449 361042557 198362132 308111439 1000000000000000000 508945380 180916601 252109381 393092331 1000000000000000000 151783594 51704596 98733473 5873103 1000000000000000000 590118426 475970252 259858726 23139895 1000000000000000000 187834473 97343188 17146651 80131264 1000000000000000000 711322670 707896797 226199692 259102690 1000000000000000000 448486128 162933701 116894262 255472695 1000000000000000000 153449792 14580908 92083890 100912443 1000000000000000000 147958387 134408426 74218403 69835316 1000000000000000000 479258141 390656365 66590199 327502815 1000000000000000000 839504671 552805843 219063581 555669996 1000000000000000000 6671726 2944498 1571473 2856764 1000000000000000000 388162527 74618461 53058589 86652466 1000000000000000000 830576637 35487406 127943286 513108564 1000000000000000000 722187341 512170217 17371126 174470942 1000000000000000000 851514092 192620793 675571646 561882258 1000000000000000000 801686378 42848872 762539765 520893172 1000000000000000000 244333954 17353708 22269491 79491915 1000000000000000000 306822848 131181073 88967892 274303756 1000000000000000000 361941798 8491863 47777032 13936845 1000000000000000000 229598465 138857094 33871027 71243878 1000000000000000000 780627574 345748179 155654657 487922523 1000000000000000000 893351354 268710401 358074640 641719297 1000000000000000000 243932980 157995310 161436559 230322620 1000000000000000000 499984855 199265943 16605677 253825606 1000000000000000000 576494369 512863457 70755419 58618801 1000000000000000000 670138027 361697 556040775 592907305 1000000000000000000 582096384 128039231 148916980 92900092 1000000000000000000 431908791 56241591 286582443 264299112 1000000000000000000 72423262 46406234 64778539 7148192 1000000000000000000 491469282 266674677 312128103 123332707 1000000000000000000 450726108 111576221 177699386 231105641 1000000000000000000 774514238 701596930 257916379 607709444 1000000000000000000 765301179 686265100 608750318 37461580 1000000000000000000 256961579 25180727 123657240 1619325 1000000000000000000 674725948 415314021 332127047 317359637 1000000000000000000 149552819 123857152 124484813 4157598 1000000000000000000 898820696 324983748 78616236 621971835 1000000000000000000 312592544 114382094 11828143 9488856 1000000000000000000 530480964 87354140 405573182 114403165 1000000000000000000 162863558 35888400 96715537 140794439 1000000000000000000 244980054 80681432 176081048 62511674 1000000000000000000 914880374 614628848 26506667 494007002 1000000000000000000 975663158 314767073 178095524 352843581 1000000000000000000 574485044 377591352 26466207 519027705 1000000000000000000 75112559 18699077 9240878 56929326 1000000000000000000 988303384 887606552 581045633 745905202 1000000000000000000 957655971 26997280 578097094 833229715 1000000000000000000 103427519 19006509 17004416 33924077 1000000000000000000 538003790 457381771 447514995 98862301 1000000000000000000 575932698 311036502 352121839 351185120 1000000000000000000 940866829 87140803 302755587 293084394 1000000000000000000 310403493 5600545 10818459 188566257 1000000000000000000 659475069 42443499 400754025 26903899 1000000000000000000 806917244 589254710 150438003 143639984 1000000000000000000 970505553 711408949 633906363 122431100 1000000000000000000 736153781 126190617 585174361 216499264 1000000000000000000 98596399 49607329 34147381 4254324 1000000000000000000 910127583 6766849 348858815 488216279 1000000000000000000 575551623 375309559 467614655 469287577 1000000000000000000 725290765 94157778 520545296 540138738 1000000000000000000 375019336 20947697 163061013 372901966 1000000000000000000 979095596 394304159 51642671 40429505 1000000000000000000 572807734 519853285 427314463 96807904 1000000000000000000 591536324 309428020 63909404 254608497 1000000000000000000 552022656 419247999 470298786 307737552 1000000000000000000 510017191 349647152 377688479 403324915 1000000000000000000 596746126 393336239 310012803 566886825 1000000000000000000 664268302 557273239 559471076 380469386 1000000000000000000 394925307 224328794 126508961 105162813 1000000000000000000 448112576 331001883 136866317 265879597 1000000000000000000 984249553 793373828 628125336 883780228 1000000000000000000 993935074 279544095 180121990 527657379 1000000000000000000 531403808 99266510 498791373 149948448 1000000000000000000 863495936 365042114 783040087 649215054 1000000000000000000 159830867 101770178 129461666 135375817 1000000000000000000 236515324 225740339 106338232 17154488 1000000000000000000 185494254 40229610 33073845 19832521 1000000000000000000 656318816 178442507 545309779 548304516 1000000000000000000 303548745 39664812 157344774 255053065 1000000000000000000 143749552 129064437 39608189 6674824 1000000000000000000 21169485 6572024 14713659 11301370 1000000000000000000 260290686 162065657 124853690 250311957 1000000000000000000 190029855 167426036 157889726 166559739 1000000000000000000 822351399 703835431 109451431 689849310 1000000000000000000 265268221 232445906 24304330 59253210 1000000000000000000 854557083 199758349 539058558 300703809 1000000000000000000 242870708 26110411 116217071 80828965 1000000000000000000 342675654 125005338 171588619 163955111 1000000000000000000 150234784 120292021 121441031 36022444 1000000000000000000 808398507 151338978 445088274 372122589 1000000000000000000 215656307 95057520 94341651 2129338 1000000000000000000 257583026 99204884 196647870 88197137 1000000000000000000 286669103 161264371 261746702 97840992 1000000000000000000 18233439 6828598 901364 9381453 1000000000000000000 502671263 458056012 74110158 494197014 1000000000000000000 789302388 564049719 322447490 374211276 1000000000000000000 444666577 45833214 296030657 110575925 1000000000000000000 720380395 39213434 79125795 491876782 1000000000000000000 518995983 100698608 71627941 393842445 1000000000000000000 497732919 206204508 396950566 87720164 1000000000000000000 575857624 244546211 241334438 520420909 1000000000000000000 297845474 65131956 59299396 275749012 1000000000000000000 913738015 140009344 604042211 49409330 1000000000000000000 889204881 401287983 372147223 668484379 1000000000000000000 236809701 224838594 38506442 153379151 1000000000000000000 55964200 27130337 19177971 3405925 1000000000000000000 911470192 902110528 126832645 831435619 1000000000000000000 869598704 506942534 486415589 623901918 1000000000000000000 303456018 267403971 209267423 172876233 1000000000000000000 637645169 288121683 626076563 278690443 1000000000000000000 72491174 12735648 16647843 17376142 1000000000000000000 987576370 826241178 492534952 784603563 1000000000000000000 362527891 68294858 217078836 171841520 1000000000000000000 342696910 153185875 242579461 334216927 1000000000000000000 960225969 19447963 881920768 533224309 1000000000000000000 492648250 476417097 252239528 460871558 1000000000000000000 202469852 1811530 95392017 139707876 1000000000000000000 961461689 558066261 234264560 817852536 1000000000000000000 591434634 101746692 571370969 17873451 1000000000000000000 898581665 309534995 205260298 666569062 1000000000000000000 793837798 242527039 4377930 293154368 1000000000000000000 34516027 8315954 20053049 26714741 1000000000000000000 535543886 240208325 288118840 355894455 1000000000000000000 597790483 215983244 199921002 335001733 1000000000000000000 658421844 202822494 120998280 178157175 1000000000000000000 147594286 69643399 14965966 144711071 1000000000000000000 473998736 463036213 255019643 304893133 1000000000000000000 281759102 17598448 163491584 241056979 1000000000000000000 227740204 211916677 214067318 114122474 1000000000000000000 715648067 383578447 556952982 471417742 1000000000000000000 887820908 782512071 462331524 458052705 1000000000000000000 762213139 123611262 368217459 574604666 1000000000000000000 728929364 328981317 610299793 92110844 1000000000000000000 641585606 210228170 402394737 510357429 1000000000000000000 855645612 286913455 319931770 667957585 1000000000000000000 941916805 785343810 53215268 730307068 1000000000000000000 651641912 386526066 466785035 194309831 1000000000000000000 114605304 13182325 101382410 69153240 1000000000000000000 90815843 29370863 54612076 64399720 1000000000000000000 438284647 204508699 343613719 274246826 1000000000000000000 480919561 201828314 59310575 424603019 1000000000000000000 793294005 491670348 487854574 31576008 1000000000000000000 436794669 86325956 143674107 401843722 1000000000000000000 760960015 388016275 356624313 523714760 1000000000000000000 764955526 134473106 3686582 363634438 1000000000000000000 945904855 504524642 747743890 280663599 1000000000000000000 263992158 20881490 128314776 1669247 1000000000000000000 171506766 112850109 46997272 55425812 1000000000000000000 522732611 183063469 272622950 71960903 1000000000000000000 83913960 59562464 21734973 69107669 1000000000000000000 783600665 98209350 620248872 440612982 1000000000000000000 75196201 4636686 29030276 54038440 1000000000000000000 514259470 372265717 357973758 119169863 1000000000000000000 129949136 8432350 107540150 53768898 1000000000000000000 262844754 168426960 174636672 157679712 1000000000000000000 7629993 6084309 5780301 798598 1000000000000000000 496893559 26733768 428674160 475871975 1000000000000000000 184966186 10451379 56689776 98838420 1000000000000000000 896042422 564887642 283621352 266041743 1000000000000000000 926442173 827877977 639812213 381677025 1000000000000000000 272063804 149487180 271849131 96334270 1000000000000000000 18795837 18061422 14924780 567442 1000000000000000000 183572325 74758857 87149791 101641508 1000000000000000000 717294574 539424604 596531466 304115579 1000000000000000000 540756085 409636616 426749124 322130120 1000000000000000000 90285084 10899395 53227165 75783551 1000000000000000000 295389826 69634272 46448100 250593227 1000000000000000000 12378697 5232266 4133791 1658846 1000000000000000000 282886666 153501392 269390973 134797869 1000000000000000000 32792149 21574740 407794 16136569 1000000000000000000 296238081 160084324 15001926 113872641 1000000000000000000 721621038 423718756 577770263 334947282 1000000000000000000 881734689 225066111 13046429 576136611 1000000000000000000 53222387 43302918 45482594 30721324 1000000000000000000 364537340 195432602 188499003 314389943 1000000000000000000 388181598 334863783 275449407 333622774 1000000000000000000 651215139 100314203 637380615 12433233 1000000000000000000 922555994 906884620 828268664 734164840 1000000000000000000 740247055 373668164 675008802 409614346 1000000000000000000 218638226 122179533 99426824 123619867 1000000000000000000 140913755 107861245 133210506 45864669 1000000000000000000 274059965 153962542 58706193 47901724 1000000000000000000 26144618 11326225 12822403 256678 1000000000000000000 948728256 866755699 93054602 728307305 1000000000000000000 982633996 179871715 159972805 921504211 1000000000000000000 488744467 205242049 306551802 238876835 1000000000000000000 524718938 293088171 511221809 346348669 1000000000000000000 105365451 82155833 57362016 45279710 1000000000000000000 187035787 43973219 170606343 103147991 1000000000000000000 277540747 155685701 14719315 263543010 1000000000000000000 533494021 213477183 509594993 370397258 1000000000000000000 242885806 14737589 4763413 227981718 1000000000000000000 825490593 465646293 671999669 778854665 1000000000000000000 815475205 405513925 484478317 673117987 1000000000000000000 976884064 393076464 353293035 836882545 1000000000000000000 687486764 64757252 103523130 236310579 1000000000000000000 585470443 176966176 518881115 17939623 1000000000000000000 476793037 2995418 431970244 361090528 1000000000000000000 487237151 327934013 177469142 417653112 1000000000000000000 944781877 873415635 253587609 786147340 1000000000000000000 812874616 535494582 462337402 401929998 1000000000000000000 512817317 511319171 20402793 175077813 1000000000000000000 30735180 20932178 20347384 23774154 1000000000000000000 811564181 229519038 590214449 24606108 1000000000000000000 349742426 178922594 19935446 192626132 1000000000000000000 301234768 184582955 4843828 114867396 1000000000000000000 535466762 415172286 218401910 119607842 1000000000000000000 872274496 396023634 197315475 658934741 1000000000000000000 60644354 38392532 43905980 33353221 1000000000000000000 638360339 399266484 577852434 297685937 1000000000000000000 972831736 942190454 177701207 618810 1000000000000000000 364580873 301737771 24006228 170945508 1000000000000000000 829125767 682404434 361470411 101893898 1000000000000000000 758056807 630274587 345591556 125312059 1000000000000000000 172904849 19099986 131073044 65720735 1000000000000000000 664106532 463161066 65818023 643706551 1000000000000000000 153849736 66167149 95133868 84818435 1000000000000000000 257506957 21426617 159367097 13024156 1000000000000000000 23477943 4479502 13970680 4331534 1000000000000000000 575087856 247905238 262835901 254410079 1000000000000000000 859301384 122524851 381894365 810566145 1000000000000000000 302849152 247287524 15340501 29659056 1000000000000000000 363565705 284074590 135681619 236555844 1000000000000000000 141228882 131446477 56492988 85119153 1000000000000000000 386021889 173501155 282573159 52587411 1000000000000000000 88437777 54078680 27323947 25380350 1000000000000000000 536231090 532633176 61907738 155144075 1000000000000000000 578257286 128536610 380094224 104548018 1000000000000000000 371869179 324942179 283099436 335364912 1000000000000000000 128951430 108243115 128248163 91969253 1000000000000000000 786220648 397654885 87773622 603536900 1000000000000000000 723496851 377045759 264930930 721810591 1000000000000000000 869084658 280237494 703872939 436340902 1000000000000000000 346435604 334344048 138415190 54517102 1000000000000000000 240473674 234272355 83015059 84513751 1000000000000000000 614568803 561495288 349918485 241742409 1000000000000000000 135679189 120890977 14619632 64017542 1000000000000000000 845572142 398555767 398210157 659796471 1000000000000000000 563768802 71639867 129571671 541981284 1000000000000000000 111975142 103251794 47639979 32288066 1000000000000000000 54973712 38315637 36683001 29925364 1000000000000000000 876324472 812720214 243126638 418189534 1000000000000000000 213166534 89610587 19649469 187030446 1000000000000000000 241812795 14451674 148793070 47261082 1000000000000000000 185735495 171673951 1325365 17867793 1000000000000000000 912499130 865424403 794738274 434920077 1000000000000000000 304520119 78240250 181687934 30036450 1000000000000000000 380405067 248215108 334683798 253300237 1000000000000000000 409468159 378394676 244004838 328887815 1000000000000000000 140451880 15049647 102776539 54188650 1000000000000000000 54208866 380312 44503362 29068133 1000000000000000000 535583097 474290036 415402847 108003312 1000000000000000000 280495805 242833857 24761 193097015 1000000000000000000 749416698 399695058 471962980 653855816 1000000000000000000 423941773 402507923 371844458 215795560 1000000000000000000 861691230 697715534 281131826 218406238 1000000000000000000 508561151 173630565 152726975 79969786 1000000000000000000 736880717 517057615 518179677 357720677 1000000000000000000 454814333 200275029 91168775 248190275 1000000000000000000 641588188 57785416 599123611 617263726 1000000000000000000 79446685 76898966 8752027 7781996 1000000000000000000 342729554 336027394 163437667 328963552 1000000000000000000 357420003 26587997 205356765 168834497 1000000000000000000 510023545 250524678 367892230 467607001 1000000000000000000 410635825 293872619 69572050 260121851 1000000000000000000 75519096 35051067 53075386 44944118 1000000000000000000 301411603 92047452 106053875 210672054 1000000000000000000 465096144 290688377 91648235 355863899 1000000000000000000 285370715 106721580 24244993 281901743 1000000000000000000 178519095 7308914 140305508 34678621 1000000000000000000 208937683 79844116 202686810 120768855 1000000000000000000 932723889 686982440 437774151 885910484 1000000000000000000 173837038 37110254 129734393 167202762 1000000000000000000 360213033 152261979 38542455 163057819 1000000000000000000 501298516 310236131 440687174 194080234 1000000000000000000 857886409 485049647 295288520 186577930 1000000000000000000 588217157 89516903 509952454 374889750 1000000000000000000 643483643 249532379 576284362 24272523 1000000000000000000 259542462 93202974 149144475 251153205 1000000000000000000 739730368 203817007 525081600 362876959 1000000000000000000 723148944 490424421 559453559 574502758 1000000000000000000 86813429 62700710 69294612 47711594 1000000000000000000 40134634 6414543 9696050 15521146 1000000000000000000 425233858 156437954 208035523 358611568 1000000000000000000 488089317 424684782 60340997 460412524 1000000000000000000 296500651 52706641 68541404 293312563 1000000000000000000 277418417 70718934 30165796 233884299 1000000000000000000 113245219 92254890 98226131 109721733 1000000000000000000 486373198 216668712 32843733 137790885 1000000000000000000 359627312 212310046 276881241 103965062 1000000000000000000 650560697 624931907 345467689 59221524 1000000000000000000 917042263 866847993 88661034 273144865 1000000000000000000 683689844 435138509 344567958 337117368 1000000000000000000 987237388 241103843 964882130 412085923 1000000000000000000 937270599 824576668 201137941 627944917 1000000000000000000 606041069 603900392 431931912 275386666 1000000000000000000 378745634 253815862 146903222 354792162 1000000000000000000 415499322 44675013 206746986 223981215 1000000000000000000 609233115 532745930 45218999 370436168 1000000000000000000 793696418 220909849 24194346 234480168 1000000000000000000 34718689 15730900 13773190 7778445 1000000000000000000 451240310 422299580 303430856 259473131 1000000000000000000 924512980 557085021 363625711 69724269 1000000000000000000 303484461 20669999 57413868 298807594 1000000000000000000 647343528 421007715 5972641 460665317 1000000000000000000 784071585 460582370 361766121 226356204 1000000000000000000 443132660 294160015 131789982 68330988 1000000000000000000 376063665 335583436 320457286 71256670 1000000000000000000 806660443 576364106 618668036 559820061 1000000000000000000 7544597 2719513 2379974 6471509 1000000000000000000 306767010 141902354 13092159 93393686 1000000000000000000 140317227 89511355 130808028 110634951 1000000000000000000 753241942 729253549 346662474 312768268 1000000000000000000 622762266 571437824 123554289 173878372 1000000000000000000 172875602 68108332 146029863 125361697 1000000000000000000 158315325 126970246 112063241 69343136 1000000000000000000 234052640 95078061 156937291 15558360 1000000000000000000 926008337 412596770 121763551 899339452 1000000000000000000 746459286 620281645 138324485 596389992 1000000000000000000 368583050 35289095 212094831 344591480 1000000000000000000 157838245 34796579 56451901 8030049 1000000000000000000 901337937 830000440 679000196 715180505 1000000000000000000 799761954 291915061 421122855 85324369 1000000000000000000 241959787 86421863 210944621 67527013 1000000000000000000 752635339 79875942 542723742 91291363 1000000000000000000 550170580 277591568 65196159 439816992 1000000000000000000 150402304 47635335 31175653 40086367 1000000000000000000 218964149 159154996 5946337 189213377 1000000000000000000 792502050 512551040 391517803 40010359 1000000000000000000 531008427 272228472 206538961 76396878 1000000000000000000 159086326 153381723 57568122 98368134 1000000000000000000 62237710 4405342 1114695 27004674 1000000000000000000 258418403 29158580 86319453 191716218 1000000000000000000 46091052 40695108 503738 10032583 1000000000000000000 489211831 216991607 297246636 181753016 1000000000000000000 987202284 372862440 420508610 517922325 1000000000000000000 654094803 97404592 228600906 591532483 1000000000000000000 723882025 581519128 547525712 606027957 1000000000000000000 806315830 331849768 133501729 758323888 1000000000000000000 486729187 85843977 391769756 89962864 1000000000000000000 155818855 33710403 154667686 47506860 1000000000000000000 627668552 31642870 218882678 19963626 1000000000000000000 158608742 154587721 66991103 3479430 1000000000000000000 758400199 154284892 641123006 755205326 1000000000000000000 377080055 45713017 136606727 202550144 1000000000000000000 753931537 354600348 653558104 48794337 1000000000000000000 379746676 207011024 17299637 309727718 1000000000000000000 710682418 151185751 450050807 511227923 1000000000000000000 52808055 30052898 47555719 40581116 1000000000000000000 773628808 304029764 350193711 195698679 1000000000000000000 334935629 115910707 217820080 334787540 1000000000000000000 389280267 212726632 297159491 67946077 1000000000000000000 713205957 164668642 257280464 583289502 1000000000000000000 203792406 145715840 124164807 74027737 1000000000000000000 22781309 5968905 8803813 11608565 1000000000000000000 288408762 136204830 269707997 271449079 1000000000000000000 530966880 44448160 231471804 511437511 1000000000000000000 285611416 177216286 168650121 69971500 1000000000000000000 233998287 71173529 95116765 84077713 1000000000000000000 852682398 524229118 778961681 688137448 1000000000000000000 8582562 4518086 1600398 2605889 1000000000000000000 332548483 41676088 213538243 102055403 1000000000000000000 809549752 319453354 542532377 226388587 1000000000000000000 690005477 76159036 38859845 548553656 1000000000000000000 574225456 388345213 68920205 289426043 1000000000000000000 800863985 4192569 12860162 268126617 1000000000000000000 924533712 832373560 553371753 848838504 1000000000000000000 439083149 302500299 28846870 242502762 1000000000000000000 592578711 103528793 259255451 519495728 1000000000000000000 858629389 434010278 369420443 77402840 1000000000000000000 381565191 181094252 263631523 62136234 1000000000000000000 708306952 319283348 573290762 446255803 1000000000000000000 11143816 7431614 811959 8500398 1000000000000000000 613444523 406668072 51257321 358644243 1000000000000000000 68576467 20736616 67379432 48109212 1000000000000000000 567539738 325783384 247403424 527879555 1000000000000000000 566751756 301729415 519525648 400515101 1000000000000000000 99841099 69121127 86306665 9789969 1000000000000000000 278312334 1758749 183126240 221110953 1000000000000000000 45869311 30539341 9270561 10056446 1000000000000000000 193278293 116093029 77594753 64204139 1000000000000000000 881012529 34685780 679550226 506101003 1000000000000000000 704664804 11927155 158013455 316996817 1000000000000000000 36797157 27152025 31892906 19703954 1000000000000000000 118037597 112719406 92986654 37550978 1000000000000000000 159640321 56506248 19867791 32994641 1000000000000000000 350395173 220529787 145746800 71810267 1000000000000000000 756430870 21051690 666935913 236476068 1000000000000000000 938313192 574243225 331851839 268072450 1000000000000000000 964506499 54438722 428537301 518478353 1000000000000000000 309188839 237527841 209654797 148170199 1000000000000000000 736951849 239398880 481089128 297600783 1000000000000000000 613583450 349010122 122804915 150799399 1000000000000000000 373068129 273470025 301394920 351182993 1000000000000000000 5289126 3402835 2332847 183414 1000000000000000000 266274645 12158586 177227548 74076758 1000000000000000000 431935008 277584228 316554540 405574259 1000000000000000000 235805370 217365776 227560315 158758319 1000000000000000000 204040510 95397584 202911574 25966871 1000000000000000000 594021119 332437368 453393315 26492163 1000000000000000000 436660374 165727376 264542038 251747739 1000000000000000000 753482409 48977212 138371116 632514218 1000000000000000000 585979551 546770206 51990277 122147358 1000000000000000000 183817596 57439804 183435269 153936538 1000000000000000000 449046271 276668834 6017557 212131115 1000000000000000000 912307640 611988913 378551472 122926795 1000000000000000000 798569943 770614930 199548279 186528015 1000000000000000000 494917897 408267507 123110720 33242145 1000000000000000000 693197772 337655429 504483923 410975413 1000000000000000000 234309792 164866043 126520149 377868 1000000000000000000 512551537 27000419 334802133 66986230 1000000000000000000 230187520 107962559 171093827 217119934 1000000000000000000 120476541 29448854 88711018 75605772 1000000000000000000 287295981 14467852 45615896 130596303 1000000000000000000 771182255 650145819 288602725 461116737 1000000000000000000 125312434 114045487 120165346 122531935 1000000000000000000 435994183 401332678 85182445 302742888 1000000000000000000 209109060 124490209 135442484 128194648 1000000000000000000 101155691 82735323 83217693 36593266 1000000000000000000 903452340 403637517 210022711 227893842 1000000000000000000 275982731 142015593 21992279 232394699 1000000000000000000 483927484 287920312 456344644 328210158 1000000000000000000 367674613 128291144 166203561 258778588 1000000000000000000 343429059 63898954 240957359 223516851 1000000000000000000 770381441 491077781 360565786 50043149 1000000000000000000 697616241 676888029 444166486 444758702 1000000000000000000 555990581 509418416 145544921 411492097 1000000000000000000 886474506 409574835 419717442 331020320 1000000000000000000 315122460 90399586 234030640 193166759 1000000000000000000 566991801 307964338 438169513 381034246 1000000000000000000 446602464 354501392 375728191 61817947 1000000000000000000 116120868 102124324 14683096 31288900 1000000000000000000 223795433 163644349 147678805 156247274 1000000000000000000 132889332 36843450 127667787 2814260 1000000000000000000 937875871 763825916 733939238 228447243 1000000000000000000 860747608 258199008 200305579 259282542 1000000000000000000 938552634 596984619 893633178 68724876 1000000000000000000 567556216 469648428 375448452 429639870 1000000000000000000 278467608 189787086 122129157 200922366 1000000000000000000 163321281 147128980 75718670 107117216 1000000000000000000 493508208 1030243 466372951 6314133 1000000000000000000 423191024 326585893 21614811 47636406 1000000000000000000 715907489 176803184 353365059 509125882 1000000000000000000 354578058 139710048 9661864 332046749 1000000000000000000 261736749 208935383 57511723 54311913 1000000000000000000 978774667 151663159 513918311 326413939 1000000000000000000 883610705 751935325 57192965 840934699 1000000000000000000 315119869 281575521 301770523 249366429 1000000000000000000 722867781 106487463 438142475 448652025 1000000000000000000 819722299 358413433 666751352 602814964 1000000000000000000 430127721 136725932 61133378 353485080 1000000000000000000 960298720 523153283 185250523 191995927 1000000000000000000 64718593 51263940 42460113 40459744 1000000000000000000 704825979 350428779 195623321 15312959 1000000000000000000 31333687 6124510 10068728 1003921 1000000000000000000 260376275 247936666 185362432 228160726 1000000000000000000 891098188 677191754 890625476 116668280 1000000000000000000 192883594 33004751 98992905 93397906 1000000000000000000 881000966 419237128 402546600 105102396 1000000000000000000 230336578 18274078 150452633 109775741 1000000000000000000 621797992 494251861 142508056 347817591 1000000000000000000 434936414 33029568 229231859 43111974 1000000000000000000 55069771 8894322 15964683 53167019 1000000000000000000 799633680 434445325 90029264 505085389 1000000000000000000 506293064 50322892 233938084 358691551 1000000000000000000 533581608 44735214 324821612 156738141 1000000000000000000 388706807 18878009 246553556 212893041 1000000000000000000 196082043 148107138 145425183 165754767 1000000000000000000 788320432 145248804 769738457 263514074 1000000000000000000 169614745 49606143 134961223 37838670 1000000000000000000 591047804 218583096 402765699 282884646 1000000000000000000 702142449 622885167 597799373 85095517 1000000000000000000 869181862 376869901 741036266 600541450 1000000000000000000 255504978 10249691 33678294 39186555 1000000000000000000 175122721 113386799 66507024 120526369 1000000000000000000 22824681 1265665 14639768 14248476 1000000000000000000 284056815 161766911 262310188 192902873 1000000000000000000 77901702 74972443 70054688 10076673 1000000000000000000 386773908 257609806 159088196 26639549 1000000000000000000 652870551 228548550 641543582 324121176 1000000000000000000 681287201 563471087 491370518 668668349 1000000000000000000 6581491 1271664 4796102 706427 1000000000000000000 268365105 63822138 157536357 173967348 1000000000000000000 637032245 253008252 616046907 518018550 1000000000000000000 150667230 20533154 59255333 21655978 1000000000000000000 397459199 249707599 67945179 34806859 1000000000000000000 866514991 599111803 46580576 92611833 1000000000000000000 608676205 70303088 335587170 378108329 1000000000000000000 374201186 84480882 16883519 340577136 1000000000000000000 821646420 10629429 507827241 255263001 1000000000000000000 179000295 104130217 54070459 23780628 1000000000000000000 598844847 40176647 66334171 578896654 1000000000000000000 844275765 90479492 824655770 228833510 1000000000000000000 193606797 91926837 145991898 116533279 1000000000000000000 343157421 160458970 287365134 144143196 1000000000000000000 324317157 248008157 176096969 214041271 1000000000000000000 784954864 166782493 206753003 335572425 1000000000000000000 411177267 201244680 16979862 394042634 1000000000000000000 834847457 784358443 135453557 229481746 1000000000000000000 41206411 11270698 33567404 5212032 1000000000000000000 482803213 220760845 422190888 70026655 1000000000000000000 851786542 379733538 827452428 56955816 1000000000000000000 88788903 58092320 63058858 18505548 1000000000000000000 858230657 287746816 447018336 376415245 1000000000000000000 87866907 74157185 86974798 48365873 1000000000000000000 348471311 306474234 182524125 244984047 1000000000000000000 179780753 146173454 25216786 19166941 1000000000000000000 338177141 167790904 144690389 204446412 1000000000000000000 508411351 455508417 165235510 5245620 1000000000000000000 962633268 39433689 633138064 463294899 1000000000000000000 234704736 202056026 173530743 79994583 1000000000000000000 556494127 424214667 192419386 365594118 1000000000000000000 535423164 238657721 332762037 295299418 1000000000000000000 991953581 729090341 719953469 464386386 1000000000000000000 752302191 254649633 376085148 508435852 1000000000000000000 44803988 35281531 40954207 20273522 1000000000000000000 917950529 630031668 382697283 283647096 1000000000000000000 204439708 91842603 136205752 21500277 1000000000000000000 466433532 119657792 310989469 94648674 1000000000000000000 944358039 345406543 639846542 203082797 1000000000000000000 986748318 695773312 238465100 257644651 1000000000000000000 153879291 145329300 121565002 60353053 1000000000000000000 664147323 260104372 559766853 35637932 1000000000000000000 426022518 125380504 100587272 84551210 1000000000000000000 660698526 524623158 326063753 339089806 1000000000000000000 760078668 7881789 212055460 356803186 1000000000000000000 871610112 233192681 40917502 771644461 1000000000000000000 320206312 175212292 180851875 46258923 1000000000000000000 467877248 453319418 445674269 261658848 1000000000000000000 799133976 4953172 22029442 98377705 1000000000000000000 172169723 13609053 127539302 16185718 1000000000000000000 715807170 188787046 50314195 644290713 1000000000000000000 92315946 86307621 24060206 75646098 1000000000000000000 704566513 159141918 457953571 305520035 1000000000000000000 567789120 53163726 457486331 107664375 1000000000000000000 783319771 640177175 221503773 415353383 1000000000000000000 700965673 236312121 593217261 658421519 1000000000000000000 347509156 217226494 320259032 99268746 1000000000000000000 171174434 51522245 136669384 129424940 1000000000000000000 736858737 492787147 403398514 383889234 1000000000000000000 291996221 209824685 251504778 226262332 1000000000000000000 405100222 2213195 267741291 66368474 1000000000000000000 86417153 1151469 5279448 40798697 1000000000000000000 424459524 116845898 325690888 206710123 1000000000000000000 488200680 478399884 48093917 145353583 1000000000000000000 914551087 475603108 289949413 85596369 1000000000000000000 269198815 247717170 38093256 226180725 1000000000000000000 51344895 15203274 28451001 12588042 1000000000000000000 855026926 388632575 62314080 779656892 1000000000000000000 847358134 231263622 331500947 844783599 1000000000000000000 308251426 125173143 143222657 15051227 1000000000000000000 746810701 490628237 141449508 424072083 1000000000000000000 952732453 528179383 883546785 622937540 1000000000000000000 974313826 825554644 753885063 126859532 1000000000000000000 472852937 335965023 261229338 31621764 1000000000000000000 218408273 5948202 127533041 111581601 1000000000000000000 175430547 81054219 100513431 108552077 1000000000000000000 161570849 137900790 37197991 154230583 1000000000000000000 51513602 49069709 34089281 1001050 1000000000000000000 662580874 630078448 307132815 537459511 1000000000000000000 44371269 757024 32676118 43937476 1000000000000000000 124632485 92789662 59919659 116968300 1000000000000000000 356566044 322280217 39865306 286937016 1000000000000000000 500332350 245162565 135620929 482960894 1000000000000000000 1641217 1120055 805283 657116 1000000000000000000 365575743 19499392 87347450 40526427 1000000000000000000 996372713 948522921 46363783 506385433 1000000000000000000 643288997 21394144 330868248 333962781 1000000000000000000 584832257 458607528 268483075 251022558 1000000000000000000 691793558 543582056 317789378 293418783 1000000000000000000 274896807 46189284 182367712 137773221 1000000000000000000 937739313 111045610 142703449 414459097 1000000000000000000 862803446 279827693 627991564 350103886 1000000000000000000 83394824 75943513 36361653 11251978 1000000000000000000 758871234 642372131 2004268 12178158 1000000000000000000 137364960 68735054 108460906 76231507 1000000000000000000 775873417 236208043 149692661 379794147 1000000000000000000 612712640 271567578 220455131 79535903 1000000000000000000 489843170 116947583 284468445 54362134 1000000000000000000 593557200 230861651 482507140 495144950 1000000000000000000 66478143 27660066 20589995 60135564 1000000000000000000 763864750 389086442 485631840 130967910 1000000000000000000 776651402 701383944 529857237 554610595 1000000000000000000 28043577 25145638 24736763 1067558 1000000000000000000 647917396 468472834 127645525 199465023 1000000000000000000 282438703 206188493 167465589 19030848 1000000000000000000 655285415 55507434 123531513 287089813 1000000000000000000 49218900 6615146 18401222 28908913 1000000000000000000 407270878 367808743 132362521 46995342 1000000000000000000 784967594 350800961 559324885 244633498 1000000000000000000 831703288 594466377 328747971 672818240 1000000000000000000 739111734 329459055 92371856 547325794 1000000000000000000 758994447 730437918 323463530 147736198 1000000000000000000 816135333 479897014 56521838 336690381 1000000000000000000 408196770 229467816 40427181 82379562 1000000000000000000 286449884 195569819 177659553 119516956 1000000000000000000 784734383 480642997 733524919 33975935 1000000000000000000 937166288 311417592 902292057 627217888 1000000000000000000 593237835 157239783 69857529 345790887 1000000000000000000 45852401 20618032 27866951 25894896 1000000000000000000 899574914 386106328 848279359 391600309 1000000000000000000 866323154 704064553 625378806 304978438 1000000000000000000 906921831 814495125 354805681 787435155 1000000000000000000 606170355 509811094 408563208 313591629 1000000000000000000 996833050 776989791 816518040 128721706 1000000000000000000 317604319 101016385 59816227 63880593 1000000000000000000 889106247 791421908 539944682 574359171 1000000000000000000 658069283 45452687 440248860 311917929 1000000000000000000 179810441 12771651 80710423 117850033 1000000000000000000 800024826 714458919 371477185 701583046 1000000000000000000 667766479 298634235 506397549 517477909 1000000000000000000 636316822 476517781 584656992 186008209 1000000000000000000 585600608 485729756 497550306 515987089 1000000000000000000 572309238 345225449 487492250 224671395 1000000000000000000 849543369 18506684 566550732 848809674 1000000000000000000 506606342 429486611 167759040 400883287 1000000000000000000 278117093 93346250 237955895 12139066 1000000000000000000 841236635 201785185 699156547 670060301 1000000000000000000 732602153 228181351 382589083 107295382 1000000000000000000 257432621 134930216 152390253 240343075 1000000000000000000 330650959 46458793 22436778 10889455 1000000000000000000 855902456 201408947 277763103 432402775 1000000000000000000 781159430 2004063 342112644 426214559 1000000000000000000 928944803 781680770 94153384 283662974 1000000000000000000 583729923 291789668 225741361 199082765 1000000000000000000 133714398 120062130 16634408 99754728 1000000000000000000 227373587 60191391 7294571 214115693 1000000000000000000 139161352 9520403 107662347 136313175 1000000000000000000 841805165 272415044 193960184 154053074 1000000000000000000 658750989 268204249 124692323 445397939 1000000000000000000 491291619 362866277 399744771 60955911 1000000000000000000 552345647 5214318 58628017 506657320 1000000000000000000 503368818 422468454 100792584 339541839 1000000000000000000 661639240 320181307 63222186 328734378 1000000000000000000 913753976 175820091 57677630 14773333 1000000000000000000 998493948 76903625 6202373 166144466 1000000000000000000 907242321 556644802 599208778 389930178 1000000000000000000 574170300 214671366 241374058 7440862 1000000000000000000 801518430 581911135 121102450 510691689 1000000000000000000 629053949 141190227 102160790 531123397 1000000000000000000 165167811 1213995 43617321 20915112 1000000000000000000 540158689 274674927 530478775 380166441 1000000000000000000 279504593 17643703 167566033 251326718 1000000000000000000 467440659 193968862 313607679 462167870 1000000000000000000 634124528 526014837 357612557 556258604 1000000000000000000 34790440 33726044 33558257 17658552 1000000000000000000 371160235 244384418 334632791 185144871 1000000000000000000 474866744 69204348 28136229 364129495 1000000000000000000 200916427 145610334 69063684 137216497 1000000000000000000 628447395 617620208 345971824 398764166 1000000000000000000 65817457 47512481 29879664 49836303 1000000000000000000 416788222 410860301 175654284 319867782 1000000000000000000 539469707 167287476 41233320 280777812 1000000000000000000 512658774 97085347 201985134 213685909 1000000000000000000 651120892 262699216 578012501 342164471 1000000000000000000 8519054 1445800 8193058 4139790 1000000000000000000 46611972 26271850 12757482 43182735 1000000000000000000 731164630 512487856 162138591 665977395 1000000000000000000 917347677 185340935 336273452 524493014 1000000000000000000 535492912 450258207 441540609 301038367 1000000000000000000 942105257 849758972 58459873 557908771 1000000000000000000 468917218 269925200 132170079 170898696 1000000000000000000 290634543 77387754 165665131 203158755 1000000000000000000 894545452 529919855 706233700 836093052 1000000000000000000 459995447 201053410 446392477 285701207 1000000000000000000 601515286 517687936 220730116 347659563 1000000000000000000 662474822 301355386 363319720 274611189 1000000000000000000 792370317 765956950 605556295 785498057 1000000000000000000 341819796 180591827 262596954 229014964 1000000000000000000 256496644 142393042 229051214 149214030 1000000000000000000 291041553 173787241 86021892 120884229 1000000000000000000 770813682 37092004 319918065 664787058 1000000000000000000 308578096 52386088 236594190 188330082 1000000000000000000 416542188 186026002 33616603 331022538 1000000000000000000 288564416 99215742 96556041 229792964 1000000000000000000 250670947 59184859 65409364 231637942 1000000000000000000 887658313 698377652 531064867 320198825 1000000000000000000 961384388 950143369 277037514 270525525 1000000000000000000 32731778 2863210 15039031 12193763 1000000000000000000 29206801 3878047 649583 27510699 1000000000000000000 230835268 192346806 11803120 33195004 1000000000000000000 873518049 465658687 97078106 525775828 1000000000000000000 265867934 121973641 259200748 162019986 1000000000000000000 993670762 569092456 286476129 404344621 1000000000000000000 131995419 81024408 108290608 87415775 1000000000000000000 77563485 61001787 71155742 60405327 1000000000000000000 205412682 33398444 141416670 170684060 1000000000000000000 843222463 304723312 408065357 536184616 1000000000000000000 661117541 560398609 126182663 286779529 1000000000000000000 816547133 493809235 200748827 639085589 1000000000000000000 617817276 309783899 282978099 576261576 1000000000000000000 444345165 85442409 120095035 237682712 1000000000000000000 247501823 228439959 14829476 150751466 1000000000000000000 402115521 244447783 371851192 135159262 1000000000000000000 661871776 215077300 126255469 352362273 1000000000000000000 167915535 48853107 45698904 127715536 1000000000000000000 80040193 27359138 47692191 29399941 1000000000000000000 726137491 551495053 514111063 302221941 1000000000000000000 370958596 367003070 268589426 146646614 1000000000000000000 859761641 184008621 694934360 505641214 1000000000000000000 379542565 86575349 6673284 174762849 1000000000000000000 84014034 52213182 34951073 78176580 1000000000000000000 328179612 28202549 104066676 24310271 1000000000000000000 663335012 536483547 193059685 548658227 1000000000000000000 948608708 448622339 858863851 245635794 1000000000000000000 224016147 62283166 123617875 184236254 1000000000000000000 295770242 37401820 200173549 189100000 1000000000000000000 292821699 278516835 169256735 100124879 1000000000000000000 895950720 614616052 84420638 892509134 1000000000000000000 987375490 683794382 392886808 116089378 1000000000000000000 257386549 233422974 233360380 252501648 1000000000000000000 447385319 207535499 231918291 297424851 1000000000000000000 845951169 548446734 231049096 413848736 1000000000000000000 749258910 39425152 677202982 179270038 1000000000000000000 414679310 129049224 204959808 289224197 1000000000000000000 62341023 9813818 33536318 25090533 1000000000000000000 392324979 20943709 324591252 239777659 1000000000000000000 555397111 450715222 83673991 58049747 1000000000000000000 919529273 756762840 537703981 288045383 1000000000000000000 635212332 528810869 606833325 177013650 1000000000000000000 106035447 63550778 60036247 133699 1000000000000000000 774826640 617901987 258243667 143659527 1000000000000000000 864666064 494300723 268602071 671536210 1000000000000000000 49149970 12634105 28374370 30586198 1000000000000000000 874591236 425343477 365371875 758260863 1000000000000000000 155020733 80585397 96211064 23560261 1000000000000000000 37769130 37597020 7611637 17988718 1000000000000000000 933327960 345932452 490694781 687397664 1000000000000000000 860368617 584790045 478144295 830327934 1000000000000000000 910645576 828161096 548022539 706790326 1000000000000000000 730509656 558861543 52063483 699048217 1000000000000000000 788915540 411337532 632255762 659645520 1000000000000000000 126479586 109902492 113632887 44720773 1000000000000000000 838410277 256323855 80463482 11424060 1000000000000000000 764039532 630916960 609357059 61672381 1000000000000000000 199061299 146486907 61320076 146244817 1000000000000000000 84040565 29370924 51339795 50126567 1000000000000000000 927636644 558591647 675886269 747345719 1000000000000000000 70376632 60325566 69969848 35634312 1000000000000000000 325369260 86358176 75468256 81537274 1000000000000000000 78643488 23898394 49286405 31768597 1000000000000000000 602779386 587890085 28191639 350037696 1000000000000000000 274052359 221917485 10176158 189107687 1000000000000000000 438060222 322330475 46298417 270294885 1000000000000000000 252670478 207516300 185518713 195425775 1000000000000000000 758335441 223584135 546137092 86432428 1000000000000000000 549132319 312486174 214332350 134889867 1000000000000000000 982147342 131292350 346682555 452489258 1000000000000000000 210645997 112832091 39532678 166134129 1000000000000000000 803066230 167532708 543497939 698476513 1000000000000000000 908436131 793156287 800724874 90067207 1000000000000000000 421825278 167842726 41106438 57987831 1000000000000000000 178319390 169175605 49759092 135158937 1000000000000000000 666281510 642767136 341277184 56867378 1000000000000000000 843732865 559159087 34401990 505360483 1000000000000000000 867215903 364602882 15096641 437680589 1000000000000000000 78815651 44894471 48569283 23791171 1000000000000000000 442023007 282599221 337260728 131431173 1000000000000000000 216564407 183743214 177677758 27191987 1000000000000000000 193489656 54647259 142308794 95477226 1000000000000000000 15239338 6791538 7016481 6225934 1000000000000000000 468444137 136729375 94415527 445248532 1000000000000000000 343748744 275035968 280071559 61049208 1000000000000000000 229659373 99858706 66526945 110961663 1000000000000000000 531675116 475490184 128343779 78314679 1000000000000000000 105613244 11598730 57525355 100442765 1000000000000000000 805167669 31250034 130026573 372242027 1000000000000000000 227401693 54937011 83021193 16683576 1000000000000000000 143671878 47104417 103450799 65204584 1000000000000000000 408905324 363100914 47183712 377293701 1000000000000000000 923183561 190791893 398077373 491248954 1000000000000000000 853993964 6569138 108585716 776311327 1000000000000000000 374027661 299472977 91338845 366224593 1000000000000000000 749704934 295982528 31133289 738460639 1000000000000000000 592292784 522136046 266396945 169926230 1000000000000000000 656822662 233711927 402816303 391763671 1000000000000000000 205859128 205436890 179137716 168742881 1000000000000000000 461874450 126000454 394391820 1966455 1000000000000000000 624112453 280836301 286356027 250670366 1000000000000000000 226151147 199209426 22406969 103439968 1000000000000000000 879794114 580269920 108686647 742025865 1000000000000000000 922044748 101570086 580268135 919410121 1000000000000000000 100489535 60742853 7246550 40464775 1000000000000000000 47756375 1258054 12100651 27220575 1000000000000000000 57054389 52721523 48039770 43100883 1000000000000000000 118833004 12029645 103387833 97132540 1000000000000000000 957172754 374842541 828585434 438141444 1000000000000000000 534610835 496572715 529018626 367622027 1000000000000000000 250215631 139570865 26613264 102532593 1000000000000000000 127950040 65482838 74433073 88030741 1000000000000000000 910704397 610684217 622824081 898484159 1000000000000000000 826581292 63856333 103242962 81901896 1000000000000000000 60289239 39883207 44323163 27702776 1000000000000000000 879808835 307750430 377214565 818060635 1000000000000000000 507793538 24250572 96786302 137954499 1000000000000000000 758976004 718087162 280718161 737357153 1000000000000000000 825034971 645411687 82621264 593307964 1000000000000000000 685856269 280827709 4275964 133290522 1000000000000000000 280696248 138191828 128473185 82855268 1000000000000000000 361485182 308963184 200975687 194844584 1000000000000000000 511481665 295827828 478667549 142724816 1000000000000000000 502719637 390212774 478019848 402677204 1000000000000000000 862832134 453752043 648659693 246377306 1000000000000000000 334201971 169494762 3943378 292032906 1000000000000000000 217172114 199923669 115348428 181409658 1000000000000000000 947649044 524929738 713503864 914178896 1000000000000000000 822437962 617666685 634979081 251650618 1000000000000000000 309508369 215798710 134277290 108842653 1000000000000000000 659300978 372626050 611444241 68202321 1000000000000000000 165170659 31859710 2034104 17817472 1000000000000000000 457935604 89265904 324801192 242317296 1000000000000000000 834091971 137005996 498266768 653831535 1000000000000000000 902007053 65523661 523452866 125482863 1000000000000000000 401292865 304930493 185463778 264102178 1000000000000000000 961795401 561502269 177064447 600954316 1000000000000000000 602945412 97138733 465372464 550251901 1000000000000000000 768096535 606082410 686578716 410234938 1000000000000000000 550814106 364443819 333571252 518520212 1000000000000000000 528489753 197262691 171158759 331962266 1000000000000000000 587640462 485793421 128738714 464018715 1000000000000000000 954627764 521041363 63342969 521730539 1000000000000000000 607131593 489629077 430805692 499227415 1000000000000000000 184731130 130369933 67595765 55211735 1000000000000000000 586257292 517063867 96178111 116634835 1000000000000000000 920204207 722921019 895425706 258801863 1000000000000000000 104477818 86739159 78160251 93170350 1000000000000000000 799945896 356984111 627263956 514655498 1000000000000000000 744034234 74518379 666968018 224756678 1000000000000000000 964342168 845122941 907112702 568894971 1000000000000000000 109712263 10723492 9866353 24919645 1000000000000000000 43279380 33492820 20204420 40764829 1000000000000000000 839489002 508794269 814494149 195015053 1000000000000000000 526629740 510870419 252633068 423476933 1000000000000000000 292340145 213681848 290438683 224407313 1000000000000000000 439508875 94235054 42287231 127427686 1000000000000000000 290670731 249532919 48052187 228722255 1000000000000000000 639942881 539345960 9270984 12727597 1000000000000000000 113627484 41128519 44479913 32739425 1000000000000000000 679831957 21459241 48000623 330320013 1000000000000000000 663984398 463478522 402409331 326435995 1000000000000000000 211011451 140609605 34164617 77948157 1000000000000000000 956338962 213420939 935995311 343604438 1000000000000000000 726398689 35543470 398581196 439559593 1000000000000000000 328290229 143052888 261457517 304688433 1000000000000000000 555285722 333956939 201994365 347262712 1000000000000000000 33159834 17510680 16093812 12810020 1000000000000000000 103768013 95612322 81279937 38149479 1000000000000000000 910790149 28841455 369405014 229059850 1000000000000000000 737057358 212496916 233099899 615624725 1000000000000000000 561708798 132735330 285449956 193838201 1000000000000000000 927831671 272159616 895259928 465715336 1000000000000000000 759517621 301751169 5862667 299944173 1000000000000000000 675667606 12293811 153271624 297702404 1000000000000000000 424334968 342754865 218699355 260210327 1000000000000000000 95543474 82982866 70251511 53238128 1000000000000000000 962974233 708394907 512092410 431432945 1000000000000000000 502507607 245147705 125744727 412723757 1000000000000000000 794223795 711298818 1119931 331084350 1000000000000000000 173463819 86319567 173271554 57316568 1000000000000000000 221141317 197945830 171473851 198351765 1000000000000000000 791552634 422694448 52369086 37595858 1000000000000000000 928813643 469826908 494199724 851904380 1000000000000000000 941272202 620736091 771191381 282272023 1000000000000000000 32178016 14838272 15201061 14055654 1000000000000000000 801997512 512045846 644216548 374600706 1000000000000000000 72440273 70421842 63247123 66128101 1000000000000000000 979389285 378152383 71748512 851148924 1000000000000000000 709690269 462382654 585538070 511009801 1000000000000000000 917214134 638644174 356347460 709664064 1000000000000000000 742044069 370997821 535451307 271508245 1000000000000000000 902437540 49541140 258629781 405318693 1000000000000000000 948427785 783662988 587311434 725817351 1000000000000000000 718447628 31163902 185951264 567970290 1000000000000000000 745810025 498419409 691486580 558080630 1000000000000000000 277073076 261910226 251153797 160310754 1000000000000000000 285957695 187283636 194220859 206628373 1000000000000000000 350606601 292187034 194864521 75421308 1000000000000000000 325151383 148267863 257594292 231388829 1000000000000000000 168031908 140481485 28809396 124682791 1000000000000000000 818866249 636833183 256472686 10488188 1000000000000000000 706908596 443125201 195792241 477586258 1000000000000000000 66576284 17510911 4609039 50894281 1000000000000000000 718089079 593579628 629771298 579071863 1000000000000000000 292953711 199180334 158690408 50904749 1000000000000000000 621483724 420137242 611648231 414866869 1000000000000000000 768927636 365549356 692262435 644647858 1000000000000000000 516775300 341614728 110545365 456532908 1000000000000000000 346235936 333789860 54637748 10515691 1000000000000000000 418739101 45584746 347011481 379125060 1000000000000000000 435773003 204888523 184681076 48634163 1000000000000000000 516495184 304586469 31468601 160648108 1000000000000000000 214283751 196543169 139089294 100633517 1000000000000000000 249614651 242062624 130375277 142209937 1000000000000000000 282213453 136366784 45767745 261623377 1000000000000000000 100321430 17132109 52672622 15535462 1000000000000000000 705169131 216278374 589653175 660987863 1000000000000000000 845123453 300169276 354950792 607387634 1000000000000000000 464204409 456219190 93443647 249014656 1000000000000000000 820783424 539129918 680574080 719925468 1000000000000000000 724869752 477867610 305773425 342962081 1000000000000000000 373622228 57876773 25041590 144679205 1000000000000000000 761771721 39797896 76547810 272290294 1000000000000000000 780247055 60872487 576250845 24067595 1000000000000000000 259800938 220765815 53182130 94274511 1000000000000000000 448854594 191843318 227079251 341619114 1000000000000000000 129360701 2376553 123441690 56592097 1000000000000000000 272223539 120202451 147275446 245904251 1000000000000000000 651788920 144466674 525421753 351250495 1000000000000000000 62922611 55621285 61108936 61337336 1000000000000000000 857966097 641206057 459705922 343817423 1000000000000000000 472632861 7194592 186268966 259751130 1000000000000000000 88076548 59936137 64761971 16205308 1000000000000000000 230442824 167762422 200563344 183152641 1000000000000000000 456594062 211363481 394833504 240376595 1000000000000000000 623894431 196357793 506181696 90218370 1000000000000000000 59504151 7514400 29511688 41394473 1000000000000000000 332316417 40055066 54616951 3896292 1000000000000000000 21912214 4026805 17080236 1472653 1000000000000000000 259842958 37250183 32806541 143574908 1000000000000000000 621955439 521424875 231676346 611915216 1000000000000000000 991882025 928749367 624330691 812257482 1000000000000000000 917166301 576753692 836395315 676049998 1000000000000000000 678831252 156033111 208281926 156518771 1000000000000000000 947699368 580533501 724666309 766959248 1000000000000000000 267370760 102524795 48632984 12204478 1000000000000000000 486319947 284523706 115011333 298049627 1000000000000000000 14889956 689875 12626845 2079398 1000000000000000000 438126094 156351505 62974484 49867200 1000000000000000000 142300325 7173596 71280489 28329133 1000000000000000000 553999498 56698545 519799576 19604307 1000000000000000000 861170887 399644639 503946242 147739974 1000000000000000000 378446567 363328289 24000073 210979078 1000000000000000000 533912030 291965481 158938099 72991577 1000000000000000000 991662827 935798109 660746800 925504859 1000000000000000000 805740751 1624196 606662084 48230914 1000000000000000000 794047836 280398051 230856212 786397371 1000000000000000000 180986771 58494015 65889787 157919181 1000000000000000000 839377040 461967740 458845355 635386640 1000000000000000000 985365570 198398725 443473470 653014876 1000000000000000000 208550375 127721004 127637778 28416578 1000000000000000000 188375498 135675076 76809830 115432083 1000000000000000000 456869899 259591933 159714838 406825786 1000000000000000000 383451024 218743132 262269518 169813570 1000000000000000000 364830190 286653992 200785290 145500823 1000000000000000000 513977735 30508404 44207974 209115614 1000000000000000000 594810564 556871972 11136165 536691082 1000000000000000000 37459440 28729989 18854799 33898331 1000000000000000000 754516345 655239254 684220495 234922455 1000000000000000000 994791141 2086459 459589991 173873896 1000000000000000000 130743634 87827058 850866 130272465 1000000000000000000 206667489 62899434 7784764 154203894 1000000000000000000 828862713 138394427 7353063 720493578 1000000000000000000 303510373 90383003 251229823 19342321 1000000000000000000 269742129 99372952 230164249 70414559 1000000000000000000 679596726 251205298 290878740 676533622 1000000000000000000 277814212 118962618 67801004 182145836 1000000000000000000 911606101 516794966 398211500 781880662 1000000000000000000 841650652 606203667 516089862 155607868 1000000000000000000 534880105 494438130 273311862 365694199 1000000000000000000 639203587 411165621 267858952 426568540 1000000000000000000 466919237 219356175 143597106 192330643 1000000000000000000 86620993 24435305 27314930 33956531 1000000000000000000 129511287 99134211 72795265 4624830 1000000000000000000 629781046 456876462 402040099 22445105 1000000000000000000 816294883 455776756 569461945 322681416 1000000000000000000 962382058 184270353 573573777 74652150 1000000000000000000 650313297 307942474 160332656 52473508 1000000000000000000 711669802 658920532 571201335 399700743 1000000000000000000 712647310 8564034 418769310 208283441 1000000000000000000 233067548 83813592 184132655 65537975 1000000000000000000 631592914 122214616 448860664 303839255 1000000000000000000 950195598 394284960 46605669 135684196 1000000000000000000 408935595 105250351 137464991 18097402 1000000000000000000 606008803 437058908 363295673 97975738 1000000000000000000 569672625 284788860 396542031 394071045 1000000000000000000 913896192 686173572 93061018 454757727 1000000000000000000 122388851 75590226 117526752 9107173 1000000000000000000 115359817 52253030 91735147 88620934 1000000000000000000 627835807 89385138 23130552 154545052 1000000000000000000 88673631 8745315 79669829 30861530 1000000000000000000 279673433 85421132 32844508 17836906 1000000000000000000 705101111 608303276 321706381 431356060 1000000000000000000 374445731 114005460 100028843 120185785 1000000000000000000 488720195 140672587 361953327 37639256 1000000000000000000 875248004 205966730 20290230 415736016 1000000000000000000 986677289 325036220 49907757 262081526 1000000000000000000 499559688 205899433 215135047 381551825 1000000000000000000 675618413 528579613 71053475 88227677 1000000000000000000 469443636 302221384 319044935 378325374 1000000000000000000 826078310 280678383 512333926 283909280 1000000000000000000 234501420 47702358 114802783 33064593 1000000000000000000 276833441 10479772 53492853 24474776 1000000000000000000 256832161 144420969 152426424 170829708 1000000000000000000 764507518 483849070 618020918 564772890 1000000000000000000 901342352 780540945 469503436 622523104 1000000000000000000 876272600 257552584 793849269 168221314 1000000000000000000 784516286 687585720 502424429 218239953 1000000000000000000 287819512 6847124 19639252 263622357 1000000000000000000 12225433 11867275 4607607 1541445 1000000000000000000 820886720 654621152 398974542 77552884 1000000000000000000 316198463 11986980 237083168 125125029 1000000000000000000 394184525 306654538 149734215 205526102 1000000000000000000 320430581 276806538 52257748 53629425 1000000000000000000 454980353 436056515 337594829 133526275 1000000000000000000 524450708 470087067 132968239 32647419 1000000000000000000 329063459 118143367 61450499 150874214 1000000000000000000 297055264 14145908 73140068 57156309 1000000000000000000 241040923 232294541 52190254 124038759 1000000000000000000 684142214 514323501 144902978 540215345 1000000000000000000 889803215 399691649 154607091 121180732 1000000000000000000 575358783 304115711 22606104 553271508 1000000000000000000 251157032 121833298 170412733 123033746 1000000000000000000 273917784 230534764 152190302 2617094 1000000000000000000 860592441 98861748 97465873 42795202 1000000000000000000 67698659 39997031 58377585 57608147 1000000000000000000 408829469 192776920 50682648 103425593 1000000000000000000 946111827 402578490 515233260 855077262 1000000000000000000 294380763 173709924 94084348 118482553 1000000000000000000 30804605 16708382 4072947 29202291 1000000000000000000 378714546 343893812 228951086 219287617 1000000000000000000 426472663 45825516 364338819 15448839 1000000000000000000 680518122 48311345 459015884 200618382 1000000000000000000 429894780 218121846 281175214 303467686 1000000000000000000 594954066 299395121 400263059 429750138 1000000000000000000 592480454 283635189 203181837 326009549 1000000000000000000 419115347 371038189 282893857 269183263 1000000000000000000 150042945 116112893 35367479 134378877 1000000000000000000 681965916 16846197 35307213 563145752 1000000000000000000 889838832 742881183 519058293 463346074 1000000000000000000 924809773 671063416 878811166 46492466 1000000000000000000 473685013 83900279 218214689 332709900 1000000000000000000 581884402 549902282 506937464 231670064 1000000000000000000 693116601 466294424 876601 377506781 1000000000000000000 875007017 3485879 345329493 652875802 1000000000000000000 651718830 245880263 648301041 354542017 1000000000000000000 61084465 46692832 14548317 16993620 1000000000000000000 497023736 324462142 56890599 432786287 1000000000000000000 681709769 117656569 494125786 435431238 1000000000000000000 373353545 19711414 139360087 71339460 1000000000000000000 253571171 114603196 243729203 129705390 1000000000000000000 637524698 9663878 561159587 309379577 1000000000000000000 343968306 265823860 341088524 28434051 1000000000000000000 456549067 219104883 285745498 282915289 1000000000000000000 737203439 508102236 91277962 720931148 1000000000000000000 175503609 59807455 111663435 160359869 1000000000000000000 338099455 330609229 178326487 277900742 1000000000000000000 583304088 241287402 80640011 19203542 1000000000000000000 193818014 159453900 145459633 11872963 1000000000000000000 314514082 80636982 199379476 42926823 1000000000000000000 742428303 184671664 169521930 210351466 1000000000000000000 293551777 114515160 68450356 290721811 1000000000000000000 907351730 720372105 494424586 325145924 1000000000000000000 410472447 121343453 4284360 148654903 1000000000000000000 200603023 45073014 64450781 132983859 1000000000000000000 792640494 261895914 187649511 533984721 1000000000000000000 306256413 240916250 247178397 266264908 1000000000000000000 412012288 170294084 80834057 8963906 1000000000000000000 544576623 201765202 2045147 193627726 1000000000000000000 95570039 49575494 88701847 40873856 1000000000000000000 758224823 308860337 165270502 544353764 1000000000000000000 555139445 19192906 289311342 9100883 1000000000000000000 89034695 68776961 7439373 28304790 1000000000000000000 446272650 341838089 208109481 364295550 1000000000000000000 493306491 367142293 343782670 423419506 1000000000000000000 212683154 141557876 132044753 149635662 1000000000000000000 852636522 383787459 135619960 749682745 1000000000000000000 262648143 74350404 4635668 54515929 1000000000000000000 884235937 817314633 786013237 163415124 1000000000000000000 443585296 2229033 396495747 361688219 1000000000000000000 927240721 420649633 127914762 11865083 1000000000000000000 102874107 75207142 84916666 43059494 1000000000000000000 924169243 499851763 649568884 252540741 1000000000000000000 484413702 6550517 38151771 362191702 1000000000000000000 592373011 298824335 450748406 420938703 1000000000000000000 216291955 8532535 143334694 185668788 1000000000000000000 399499955 267151810 313907069 295887685 1000000000000000000 104436653 21289898 37138610 15478585 1000000000000000000 638202254 307677073 625158677 479401343 1000000000000000000 607185321 20382842 573575454 238665950 1000000000000000000 148165223 72936972 36938355 3657897 1000000000000000000 652555761 220227702 43775294 550576727 1000000000000000000 986742994 204687792 794621670 114197282 1000000000000000000 720927893 78229247 291182281 429847201 1000000000000000000 77802389 16305949 24521726 30910875 1000000000000000000 343460562 98152819 271477158 85002301 1000000000000000000 788712698 775018038 366371955 69577258 1000000000000000000 718626091 133603091 5069144 122202591 1000000000000000000 568610475 449669374 171467278 193505167 1000000000000000000 807951966 630057457 144567661 668141763 1000000000000000000 510271446 280213148 489787536 26937861 1000000000000000000 282606582 131776571 26420961 175707474 1000000000000000000 946108180 331280225 740868602 330664895 1000000000000000000 915190308 244764499 94053975 777861193 1000000000000000000 688662276 169292916 677095640 343788556 1000000000000000000 188565823 53730446 139258088 68645124 1000000000000000000 217549307 160988006 88844182 81608141 1000000000000000000 480047717 284933565 54114803 365557928 1000000000000000000 308866190 94843770 179344038 175251820 1000000000000000000 589068297 225460583 156527662 18820866 1000000000000000000 251349843 50837024 786872 25634787 1000000000000000000 961861890 896455527 591112973 545566456 1000000000000000000 512992902 457825157 11051111 15556939 1000000000000000000 54577410 10339649 31234701 45704359 1000000000000000000 290892959 121172355 104745760 169562913 1000000000000000000 813850637 650155468 596301913 26180084 1000000000000000000 967636494 634342313 10082613 203959005 1000000000000000000 731018429 190821187 355428909 41803721 1000000000000000000 148969234 23736542 148608855 10300967 1000000000000000000 785910211 666400281 628790697 238497860 1000000000000000000 628737923 385981642 389237622 107501250 1000000000000000000 448754708 415065664 357961835 375376371 1000000000000000000 410626626 18271109 147851040 37215439 1000000000000000000 326157419 180400381 101877078 140946817 1000000000000000000 592101932 470639563 242305470 303518234 1000000000000000000 206113019 203343520 112538565 132184338 1000000000000000000 615870333 521965483 354267162 355426146 1000000000000000000 465266384 114959426 190166342 266622935 1000000000000000000 180877760 132811472 175242215 125146931 1000000000000000000 640637735 314179359 583773501 252677039 1000000000000000000 110360131 86682541 75525532 26255275 1000000000000000000 808678464 565946415 613287902 561442048 1000000000000000000 344008425 300673656 92284897 247489447 1000000000000000000 55397999 28108065 13955012 34008885 1000000000000000000 897829078 727325979 714589358 549217198 1000000000000000000 859558489 89168679 452474445 739859916 1000000000000000000 246198823 61475216 41867177 188475644 1000000000000000000 474221339 176837176 439085849 318325479 1000000000000000000 787384544 458849562 127888768 449994012 1000000000000000000 279951690 245543196 87258466 242721196 1000000000000000000 320900759 297544804 146289173 78615358 1000000000000000000 141129544 85008248 120532085 78832330 1000000000000000000 134167218 27948547 118603965 51202777 1000000000000000000 411966460 135488230 383343454 24129132 1000000000000000000 646904337 230482052 501392647 292743052 1000000000000000000 3256013 2789911 1709090 1407867 1000000000000000000 595847242 394763083 186406388 266767666 1000000000000000000 922976404 662334370 20108431 89925091 1000000000000000000 7102409 4339649 2096143 1889597 1000000000000000000 521165238 256139660 460578478 29822547 1000000000000000000 111065189 100354187 85670185 41179409 1000000000000000000 277209311 23245791 180178531 184824030 1000000000000000000 826391078 761005967 555245514 446745874 1000000000000000000 524879537 157259677 348377678 10070053 1000000000000000000 602990220 439718087 107040773 100132855 1000000000000000000 795995176 216097804 22808058 548247074 1000000000000000000 331350888 312795869 286245216 94070775 1000000000000000000 414932014 153290262 308464573 74894866 1000000000000000000 525758564 93443748 171000519 394819304 1000000000000000000 550350538 162961606 213886158 477927807 1000000000000000000 97238084 27409160 1867152 48798547 1000000000000000000 268753167 245967351 184690189 7961551 1000000000000000000 653765296 598154807 114353987 129230926 1000000000000000000 868340691 5725898 739196709 285745458 1000000000000000000 248058785 117838721 188541928 58882948 1000000000000000000 608079181 67844965 160122765 128934255 1000000000000000000 805361038 431886661 55792288 644277746 1000000000000000000 972082199 955329808 850716541 635216035 1000000000000000000 54784643 36974581 9986611 54272453 1000000000000000000 648251705 4607183 450283027 535402739 1000000000000000000 26221419 10510592 6780746 9594275 1000000000000000000 60694155 50841151 44563589 19048294 1000000000000000000 143751776 82500729 110194126 29814651 1000000000000000000 292412530 205492026 119751085 58431379 1000000000000000000 65157831 41752004 34249932 38762316 1000000000000000000 593610219 460292887 373910741 338329701 1000000000000000000 703332536 419127976 559471983 7346287 1000000000000000000 7682423 2694357 6278031 2562983 1000000000000000000 892742841 25811107 607372710 534393345 1000000000000000000 57424324 20804567 32098670 37178514 1000000000000000000 756935579 299691921 379633286 651401901 1000000000000000000 305861265 286194058 253174291 174480646 1000000000000000000 510674889 248361469 19672889 317662508 1000000000000000000 65184691 37536300 36391797 21996636 1000000000000000000 857086268 502288856 418266149 835830411 1000000000000000000 743193931 376797091 591030796 701350316 1000000000000000000 988074188 523628962 740269837 396098449 1000000000000000000 36695508 31199702 11882365 1430606 1000000000000000000 276928916 130292879 152170309 98966880 1000000000000000000 371541766 139212939 284234784 343085507 1000000000000000000 111940746 6158721 24051104 3048098 1000000000000000000 81724722 20568965 72051172 51446424 1000000000000000000 435288769 303941922 71190722 20453808 1000000000000000000 91931705 41704507 44149409 71581201 1000000000000000000 804151186 321704630 782922189 786095985 1000000000000000000 497989708 251672341 334243266 208353177 1000000000000000000 710007108 68310492 515359505 469491580 1000000000000000000 483084487 104340049 332380508 17200842 1000000000000000000 146668318 122785787 66492102 81808786 1000000000000000000 19084049 4531036 3323568 3873066 1000000000000000000 768128656 141008143 650855736 538599326 1000000000000000000 943863907 163788721 837901934 162672525 1000000000000000000 837124586 823961132 518467263 382538806 1000000000000000000 137574579 113845216 96707313 37977551 1000000000000000000 127842377 71842289 51139012 116651583 1000000000000000000 117683218 18845813 70155984 219888 1000000000000000000 221617410 152695775 186914521 70171046 1000000000000000000 183988918 28100803 35385040 156809014 1000000000000000000 654991363 76953695 312078542 92445345 1000000000000000000 898822354 148695828 705136054 236450466 1000000000000000000 517485464 316775938 460297059 444707286 1000000000000000000 153303087 57292572 144199763 81628492 1000000000000000000 112534286 44024447 4589546 75836818 1000000000000000000 827305686 307761181 255192203 99251535 1000000000000000000 377151266 69448155 116613915 117850146 1000000000000000000 185598267 61544695 56063670 162612284 1000000000000000000 581282807 179481041 185931332 361225673 1000000000000000000 431378365 28646169 106001268 169062719 1000000000000000000 721794578 356537588 381739498 682853894 1000000000000000000 273936167 76692523 193750617 144658037 1000000000000000000 884965583 810932539 621020605 126461595 1000000000000000000 343333092 198934358 23972630 166534246 1000000000000000000 506026715 31492129 129995642 411587896 1000000000000000000 229080225 1174204 67410619 201116704 1000000000000000000 228682521 11605234 110835148 162496793 1000000000000000000 605030438 128795605 155668540 406245671 1000000000000000000 4463345 697965 4453595 617305 1000000000000000000 910087679 767139391 906812432 715393656 1000000000000000000 350702987 230265359 262191042 320050048 1000000000000000000 76985112 5289048 61027763 62210528 1000000000000000000 878951860 127246437 555362590 813865649 1000000000000000000 267911838 196865277 210389180 203629979 1000000000000000000 142491334 63821540 35445434 48696265 1000000000000000000 165620632 65639293 103687477 2284212 1000000000000000000 65844567 11381845 25788155 38435635 1000000000000000000 784417417 461335091 38593190 433431539 1000000000000000000 404713855 155062833 348156101 203168371 1000000000000000000 609712333 408096506 158820877 267107207 1000000000000000000 402094156 186465335 359681340 323085885 1000000000000000000 774733084 258040881 338687686 555047740 1000000000000000000 525916066 177779974 344431224 501386862 1000000000000000000 598375520 54890484 388695495 456490053 1000000000000000000 871356334 677696307 619040373 300084879 1000000000000000000 546476818 208495355 233019384 242785860 1000000000000000000 911756874 497870062 67480747 54405459 1000000000000000000 122161783 35420177 100953311 11100052 1000000000000000000 659411208 647349681 623690052 313179580 1000000000000000000 177678159 161822358 50601144 89888031 1000000000000000000 88025405 50498855 9054812 76954852 1000000000000000000 228010948 74770199 31672959 27846625 1000000000000000000 757393334 170565124 581953735 660299170 1000000000000000000 386016852 330671782 168753512 267062805 1000000000000000000 344822633 185625481 143801825 56802855 1000000000000000000 153522159 66883540 104433636 44361239 1000000000000000000 254995076 110233882 137256648 166249418 1000000000000000000 226150449 143145588 87551125 162612883 1000000000000000000 573329168 113885560 155172465 542878459 1000000000000000000 611198899 476790140 293869344 236335427 1000000000000000000 797532061 571614406 752904243 433630887 1000000000000000000 272277575 7583533 212220065 95060666 1000000000000000000 605720229 58623744 166865988 212460993 1000000000000000000 171601958 63015987 94818302 159228442 1000000000000000000 674794878 503011591 191360066 582987619 1000000000000000000 307069359 147745169 64373827 214162980 1000000000000000000 765290894 641077544 666971201 22304754 1000000000000000000 379394199 114387194 83516780 333496016 1000000000000000000 71426216 56296987 34937659 58344212 1000000000000000000 298343213 32602722 278163860 6322062 1000000000000000000 598007743 7480802 288938741 511723759 1000000000000000000 817946952 102520901 710760823 412659598 1000000000000000000 321356039 157628225 235107500 61345912 1000000000000000000 973629373 58289559 769698887 814067894 1000000000000000000 77169841 12476932 56384469 44879577 1000000000000000000 583415390 299531126 460729918 237052636 1000000000000000000 679029243 667288012 546964693 145019322 1000000000000000000 341432862 117225298 64588812 271154824 1000000000000000000 648449189 516118155 422597199 525159197 1000000000000000000 955195832 370066819 548057726 715398027 1000000000000000000 954541752 455157041 299193910 498099735 1000000000000000000 543876426 165404024 187252289 514151598 1000000000000000000 152156545 26130141 10925187 140526901 1000000000000000000 377534721 271057570 257116636 333455791 1000000000000000000 923586147 620730653 56023762 849692031 1000000000000000000 424140686 52445030 35922579 44814979 1000000000000000000 30356990 17063682 2140893 13160240 1000000000000000000 942459550 740490435 105627631 258116440 1000000000000000000 502764409 243323962 139348221 55567015 1000000000000000000 407661151 8120429 252697531 22403446 1000000000000000000 705543510 172845527 616339487 11354025 1000000000000000000 366500032 288590212 256110798 192822314 1000000000000000000 678906053 472152416 379851443 171498329 1000000000000000000 141022052 3440498 30112579 110904199 1000000000000000000 260717100 93223288 216071610 221288459 1000000000000000000 29777609 7486260 10912094 19390036 1000000000000000000 178477890 73594955 85075022 95509888 1000000000000000000 985692655 31961914 551003725 825618897 1000000000000000000 229023125 56134873 158452607 125601934 1000000000000000000 812347227 174904066 676382576 161655557 1000000000000000000 40502151 27927870 30702065 1848860 1000000000000000000 640030199 154086870 559312233 410684971 1000000000000000000 34335879 3264615 20301778 2463047 1000000000000000000 493019466 411961089 370789069 413242953 1000000000000000000 729736262 487131803 115804636 425742702 1000000000000000000 730588734 648972328 17151151 237926487 1000000000000000000 392531070 253800442 224851971 344497292 1000000000000000000 873012441 181012949 314313400 311927529 1000000000000000000 21273433 11698828 14411473 13798011 1000000000000000000 218035836 4913991 147508134 168618253 1000000000000000000 932836966 730341081 40568175 318626137 1000000000000000000 741129253 639993856 1671931 201173210 1000000000000000000 488473960 398968853 219381132 222123999 1000000000000000000 313684825 91868644 41530918 75874491 1000000000000000000 464512691 95173121 452653314 160289533 1000000000000000000 622586934 508644990 342650179 284206808 1000000000000000000 80858167 73553819 72159953 24331590 1000000000000000000 543395748 444188294 280096258 194212601 1000000000000000000 31033638 9303551 13489205 3250888 1000000000000000000 687911746 248102154 69690586 306731831 1000000000000000000 435506902 282395000 89286982 225163771 1000000000000000000 799265045 315657344 746158603 145772993 1000000000000000000 34748206 23154205 33672318 22438016 1000000000000000000 242043272 185051184 211711913 110767955 1000000000000000000 207068542 181077396 125756317 192625877 1000000000000000000 69162180 45683101 43152255 39598172 1000000000000000000 759780372 626445459 78752184 374560149 1000000000000000000 787817614 704090301 691505711 650414539 1000000000000000000 888335267 701026398 293095060 605465233 1000000000000000000 124532101 64050101 50765516 28566105 1000000000000000000 584226403 355977302 406270472 146998574 1000000000000000000 653737308 544696183 474325841 255494680 1000000000000000000 22540986 11089438 10719390 19292172 1000000000000000000 10272143 2599407 611845 973784 1000000000000000000 766853897 707443426 747345338 233141830 1000000000000000000 778403530 455323270 316388842 184887732 1000000000000000000 608081226 94071192 107497429 577714763 1000000000000000000 48628487 5244644 14399165 5056790 1000000000000000000 726444983 410217029 364954380 222612067 1000000000000000000 139084894 92092766 118532056 118356929 1000000000000000000 421596177 178311410 37358122 56972753 1000000000000000000 76036585 27952891 1280137 39853235 1000000000000000000 124360059 98542815 97953645 76099320 1000000000000000000 972328119 276209542 816783207 158640363 1000000000000000000 250407141 192802178 197940911 157299180 1000000000000000000 4982550 2629599 2448609 885466 1000000000000000000 811793480 301574324 200965002 717586357 1000000000000000000 860406762 215342671 380790951 426867500 1000000000000000000 965168289 401284032 102646789 511223195 1000000000000000000 813756481 292259013 472145391 767948257 1000000000000000000 132599491 102708711 71689064 119664315 1000000000000000000 34321310 7242425 32090858 26617132 1000000000000000000 107728530 56337375 5830432 30534343 1000000000000000000 642705300 182719037 471764842 387832959 1000000000000000000 405738183 176609264 243609240 117009470 1000000000000000000 374442880 185214800 39483400 4817585 1000000000000000000 561303627 320487906 193508020 238572454 1000000000000000000 330276266 202221156 278719761 235271053 1000000000000000000 619738092 16140046 163764855 281213579 1000000000000000000 832853004 541569366 314086892 557169407 1000000000000000000 209627592 160852720 176289846 128525060 1000000000000000000 334381182 154665365 135592151 110325492 1000000000000000000 767171217 662958355 191115378 490509262 1000000000000000000 492803258 354408542 162008433 51745912 1000000000000000000 148368790 49686390 49499136 144724414 1000000000000000000 863355101 712169322 279174533 325370137 1000000000000000000 100424733 70164747 27594486 97037926 1000000000000000000 26297496 13531187 3860062 23174973 1000000000000000000 539163674 122679129 250708359 361541913 1000000000000000000 513283184 101173579 492384361 301336653 1000000000000000000 324154448 228540048 115405154 201082350 1000000000000000000 456876378 311179359 131196381 154272047 1000000000000000000 156288848 56004909 68723341 34445172 1000000000000000000 58645682 16446175 51288615 42413176 1000000000000000000 726659068 572251192 637580720 131917670 1000000000000000000 7933097 4336409 4401045 2754099 1000000000000000000 582743456 29031081 254087692 122980826 1000000000000000000 150901744 122212895 111336582 32059731 1000000000000000000 16037993 4898466 4340711 12296147 1000000000000000000 611722426 543219394 150266135 104542109 1000000000000000000 676162415 613173526 637764869 660892390 1000000000000000000 667099344 86088758 575068649 566811616 1000000000000000000 535492844 9560041 358978589 47679480 1000000000000000000 86184178 112470 76124035 61612221 1000000000000000000 616188875 27645485 219069911 360989608 1000000000000000000 870652043 619064088 502514268 609523242 1000000000000000000 725565495 13908173 470446859 260801140 1000000000000000000 468324632 277772124 296454419 134507322 1000000000000000000 172828502 153309229 152875236 58000184 1000000000000000000 272468878 233467643 158226220 164705383 1000000000000000000 293189998 266817284 22662136 167660200 1000000000000000000 794345562 507806378 197109690 695787933 1000000000000000000 290818564 270942466 59197591 118025865 1000000000000000000 746384706 591671826 325440999 162417834 1000000000000000000 922648315 13750748 841248055 600347291 1000000000000000000 706959039 343719204 579694317 49973338 1000000000000000000 964631982 603543453 902173931 160464525 1000000000000000000 418844165 182955666 229930337 93024856 1000000000000000000 103405362 72660541 93218269 90062510 1000000000000000000 921217236 585646763 250041668 699415294 1000000000000000000 299319304 221702618 20730626 83880366 1000000000000000000 997637313 841285713 778036807 145513974 1000000000000000000 126732677 31193872 104611354 45199746 1000000000000000000 107462626 92236285 67546046 29332548 1000000000000000000 211527295 3298671 139151459 200690118 1000000000000000000 487762318 110352708 439096309 226345865 1000000000000000000 88360684 34074137 26805121 79212618 1000000000000000000 640220542 461128860 578329104 626712585 1000000000000000000 866794485 341815029 742209609 827279529 1000000000000000000 874683339 863317654 778017490 556209772 1000000000000000000 953950871 21719066 482508237 352253191 1000000000000000000 172799542 119571427 13467515 84817989 1000000000000000000 483927495 202217257 198369961 184127494 1000000000000000000 293891450 232777730 7388408 211353776 1000000000000000000 925563853 464249442 275560044 178867120 1000000000000000000 466871389 364365053 126402598 136874733 1000000000000000000 142800754 4906409 28081850 97175270 1000000000000000000 221800456 58556890 64834570 39364887 1000000000000000000 152537902 137378019 130936259 58526256 1000000000000000000 679525702 8459559 442097770 392777232 1000000000000000000 494597251 279480073 10152290 351293405 1000000000000000000 747762378 409105838 103181534 180721832 1000000000000000000 166805508 86382895 154270413 13681624 1000000000000000000 708878265 514989290 565358396 44230389 1000000000000000000 616689619 274241751 8012519 487714040 1000000000000000000 871665199 352562606 412655867 643469800 1000000000000000000 371900493 274651672 303096122 125787523 1000000000000000000 165124447 164975432 148801269 15166530 1000000000000000000 136284687 114672526 127482928 6821738 1000000000000000000 739731314 650824635 350201829 225288795 1000000000000000000 432024968 59273623 178200237 102373526 1000000000000000000 48059276 14527506 40662571 30969758 1000000000000000000 557530087 161967949 90947743 185821897 1000000000000000000 506029587 49723864 98077933 61871813 1000000000000000000 950952421 727096838 716347248 348230767 1000000000000000000 144112572 114674095 93351489 125875550 1000000000000000000 289321218 95174631 221583490 259281358 1000000000000000000 301860567 90029519 169388067 226088599 1000000000000000000 619897125 28117117 231796902 574513894 1000000000000000000 250898218 246047131 216660420 245487323 1000000000000000000 721976562 433755713 569245918 320118133 1000000000000000000 471116924 288759950 297181019 374206970 1000000000000000000 832543504 671643789 491425012 119328046 1000000000000000000 523916511 291489088 139158496 34199006 1000000000000000000 575221835 196751463 371053532 209248539 1000000000000000000 517895734 82049220 102492789 100935282 1000000000000000000 583223257 551259282 401660564 54314812 1000000000000000000 665625397 218835506 233862110 582099968 1000000000000000000 972254324 806846644 949565383 801051817 1000000000000000000 47624822 17808007 14039405 6364787 1000000000000000000 792122182 330705093 458470149 688912584 1000000000000000000 141960176 57417271 40569253 102973025 1000000000000000000 600364841 129915435 433425999 518912944 1000000000000000000 38196428 17485421 13034816 21354527 1000000000000000000 231108188 175804841 151578256 81928570 1000000000000000000 191529751 80703499 116320149 157579489 1000000000000000000 469799673 292556957 238576677 122934621 1000000000000000000 423155711 364034728 258625631 244940690 1000000000000000000 759788904 145994664 337776547 508357125 1000000000000000000 745461232 510245182 71049537 453600725 1000000000000000000 587805665 25922034 379795015 160388047 1000000000000000000 695485174 332409061 577048290 598259683 1000000000000000000 427858925 416334695 234881937 247038632 1000000000000000000 181118701 64401567 60455744 23532766 1000000000000000000 41916725 12971927 4477675 15759110 1000000000000000000 896709757 485947350 204158408 69138150 1000000000000000000 682531934 373411389 515688503 211118655 1000000000000000000 199042403 152124735 2005479 88779656 1000000000000000000 686466694 194645041 388115370 68936591 1000000000000000000 913070423 31726397 103377489 280254538 1000000000000000000 678408046 231061402 26112341 625437135 1000000000000000000 166596330 54910327 87053657 14168551 1000000000000000000 470450532 188043469 193085118 290837889 1000000000000000000 512509455 69937659 57862850 458819667 1000000000000000000 479853951 192786808 69640878 116839471 1000000000000000000 342741275 136081651 262127024 78857964 1000000000000000000 869358535 190635384 633041657 817236386 1000000000000000000 511400388 489152536 403769886 432572055 1000000000000000000 660785560 402297954 393305838 126666240 1000000000000000000 358646209 1314380 34451781 155595733 1000000000000000000 316395260 54728533 84726934 240435546 1000000000000000000 330002644 315248028 35153129 121715087 1000000000000000000 747271138 662364433 78306301 466357362 1000000000000000000 284457829 18492684 156756653 46535364 1000000000000000000 700721233 643696322 454373534 247079169 1000000000000000000 537287198 98955602 391389490 463018777 1000000000000000000 291345821 197477778 177475447 83638864 1000000000000000000 283825976 193729171 27340638 212848175 1000000000000000000 22009733 21095088 14662956 3711984 1000000000000000000 771110191 572032463 387527580 558838201 1000000000000000000 382463253 273757183 191986318 142099712 1000000000000000000 698291514 398359439 542632939 492310684 1000000000000000000 498950961 343510331 330793477 363257718 1000000000000000000 174623093 171546180 159616667 144315246 1000000000000000000 98502667 95466738 29619170 10148475 1000000000000000000 487531863 309277149 119480860 333984080 1000000000000000000 982506923 442726255 317796711 785438408 1000000000000000000 786066648 72491445 325230816 10989158 1000000000000000000 336658697 99829851 257750205 121754726 1000000000000000000 561563412 256359698 346249447 292316997 1000000000000000000 493741508 328102138 426833364 228845068 1000000000000000000 603866450 180210999 287286526 267036817 1000000000000000000 212249495 29447353 199194252 194434595 1000000000000000000 713441884 697643837 253977595 270840197 1000000000000000000 414464933 251222989 256029877 344107651 1000000000000000000 465373364 261040117 272026513 289600076 1000000000000000000 667735104 65562680 647433823 261223672 1000000000000000000 69102415 6981479 40007607 22165212 1000000000000000000 792256654 488690254 168973028 548299434 1000000000000000000 140513163 130061992 122322237 110207169 1000000000000000000 121945297 103464124 33488841 54467835 1000000000000000000 129202852 123940693 70582179 17389360 1000000000000000000 725992154 548688088 360186549 465203722 1000000000000000000 659343164 101749908 106706827 124936174 1000000000000000000 694981433 303414590 671557989 547604263 1000000000000000000 260155659 73290382 229163952 219467766 1000000000000000000 885074322 329586798 92927027 696928906 1000000000000000000 654255396 366536807 643012697 510927352 1000000000000000000 797817946 208005625 67895860 120122885 1000000000000000000 545264826 286825579 172354472 69738509 1000000000000000000 598449326 170115236 2153477 188285293 1000000000000000000 275021036 136953466 130011298 34917146 1000000000000000000 757970254 123753479 388875202 42384434 1000000000000000000 144507778 22099190 19429843 114049078 1000000000000000000 798916527 625407364 91309837 309200185 1000000000000000000 282204465 172560996 170566328 31590519 1000000000000000000 95700208 17733458 22095724 67392768 1000000000000000000 933094410 892001974 769053594 22419615 1000000000000000000 644893621 416666441 481205258 89165232 1000000000000000000 631023372 69133676 316103107 342360062 1000000000000000000 702498391 471941618 32214972 198639606 1000000000000000000 136884387 123245586 90378399 71126899 1000000000000000000 392462455 237537831 249399310 14876104 1000000000000000000 954757298 171743984 68954766 69607728 1000000000000000000 153435197 49624202 15271985 152526948 1000000000000000000 162484330 133061494 25747654 18815353 1000000000000000000 664981529 555480739 156921593 378984182 1000000000000000000 483803851 338763801 222116575 377084693 1000000000000000000 747868926 440878393 362236894 40150134 1000000000000000000 664596214 541172992 510492161 41647123 1000000000000000000 55374398 40687942 48915502 29963382 1000000000000000000 342523884 200407560 125555161 247625015 1000000000000000000 392235369 41476455 48611203 34986389 1000000000000000000 75192094 39837811 63255539 32322331 1000000000000000000 360428316 12049050 312991288 236643555 1000000000000000000 924541297 639022818 692596490 720079636 1000000000000000000 309735753 61486476 235397120 246933670 1000000000000000000 282662789 104135548 82421275 259544021 1000000000000000000 457814851 329426052 318829570 339139272 1000000000000000000 343437132 246007018 131739133 308588969 1000000000000000000 208794274 140134533 109594939 2703483 1000000000000000000 744972057 147438007 271612901 97058719 1000000000000000000 95009275 15089927 48777789 84235931 1000000000000000000 103749884 52067204 77932661 12610562 1000000000000000000 825448974 635324074 519680061 429469217 1000000000000000000 130147232 76261073 88324177 13944945 1000000000000000000 418405904 205539215 147775694 319705601 1000000000000000000 44863425 20334682 2425037 2841135 1000000000000000000 32182924 10438013 31700536 17306355 1000000000000000000 147837064 39635139 113391681 102754254 1000000000000000000 505856828 65032436 245803875 449837375 1000000000000000000 328101318 174994894 105188823 150753824 1000000000000000000 34850839 2753901 17785230 19749863 1000000000000000000 643604930 296208450 56152309 538702820 1000000000000000000 489060250 257134857 348783489 473294378 1000000000000000000 494744040 38431835 189073852 171860143 1000000000000000000 458834165 180380612 185650733 164690389 1000000000000000000 922941512 375632486 49383726 464547937 1000000000000000000 994508987 729338133 353976509 578293578 1000000000000000000 368281276 50961236 234541270 336132203 1000000000000000000 931654977 160875592 476647311 106462364 1000000000000000000 655486278 607958139 454888975 421046868 1000000000000000000 323791577 39492985 226751630 32362060 1000000000000000000 748541931 238678970 440564043 592808341 1000000000000000000 491749259 295220054 490014044 224355222 1000000000000000000 500794385 232123091 303677227 172241516 1000000000000000000 349142188 121347219 312719051 38079667 1000000000000000000 687794799 310919692 495579717 464311273 1000000000000000000 877010890 435545294 425218056 721731973 1000000000000000000 639437226 336772890 462393497 382028505 1000000000000000000 150888490 30609447 49644848 42120346 1000000000000000000 633694778 42127319 446900481 599531818 1000000000000000000 393152707 73399279 43064783 183343397 1000000000000000000 271766698 180878917 83977607 17139087 1000000000000000000 49062177 47896770 3185144 21505931 1000000000000000000 632216265 249773118 66579664 303847588 1000000000000000000 114803283 111134733 112277074 5303681 1000000000000000000 899487630 825041561 648896383 801150707 1000000000000000000 133334514 21890359 21903901 85623133 1000000000000000000 688152037 277801642 389315723 331742999 1000000000000000000 440471942 240624851 173482606 208440870 1000000000000000000 818466893 788697977 319579344 80250925 1000000000000000000 760903006 704670133 547060096 610332975 1000000000000000000 651306411 42966039 77384106 187451950 1000000000000000000 989378905 498155763 89204133 762365596 1000000000000000000 222976189 111055222 108423015 220317104 1000000000000000000 148587073 80020085 136039611 52587493 1000000000000000000 581974711 186238582 447587226 197707462 1000000000000000000 8449353 2350094 5541350 3430731 1000000000000000000 915314825 456952563 740043378 432493460 1000000000000000000 118693423 95593750 79063669 10442372 1000000000000000000 878262574 363685264 841142593 252593090 1000000000000000000 623829982 349269423 270333743 520326996 1000000000000000000 384771216 110575113 79554893 179823686 1000000000000000000 764946595 205831670 295739541 143318611 1000000000000000000 965086793 453223131 926703073 879579137 1000000000000000000 529303665 53061279 373678282 501972153 1000000000000000000 363489506 6973319 116053004 340227641 1000000000000000000 924349560 374537852 376269794 455755260 1000000000000000000 666868142 94740432 621088356 162261618 1000000000000000000 605869171 88715394 459877214 336134864 1000000000000000000 895228552 712800662 216381336 494160452 1000000000000000000 694404308 690335114 661212498 415311729 1000000000000000000 196480089 104014660 78979742 113135579 1000000000000000000 563906229 37573505 400203310 423876455 1000000000000000000 604750189 422153372 209516819 232106386 1000000000000000000 205823513 17577746 115787418 78333395 1000000000000000000 634643555 149935380 318614517 624623485 1000000000000000000 438357803 100151229 377511022 397409335 1000000000000000000 253083664 86518854 147126997 59420242 1000000000000000000 998468548 337372607 851466719 712954869 1000000000000000000 769262506 743949287 75169282 524523758 1000000000000000000 460286726 262769518 366622856 46620542 1000000000000000000 922810885 297509730 388713999 287954124 1000000000000000000 465482015 337449058 99322337 275642710 1000000000000000000 662194508 33335635 652882022 533084187 1000000000000000000 917575797 246163642 628907077 289935641 1000000000000000000 571623067 487547808 539210799 494570039 1000000000000000000 235109510 111625760 5569854 135803624 1000000000000000000 28927138 15491591 8626239 16501136 1000000000000000000 412171699 197195957 369553047 86578997 1000000000000000000 378143259 66751450 196315621 270834429 1000000000000000000 598844420 508419328 323159925 421047051 1000000000000000000 962377456 591444283 202399724 892366125 1000000000000000000 264470100 11564000 155047496 103176235 1000000000000000000 879462422 575737030 351250958 671583106 1000000000000000000 402425477 138026432 73170126 76035571 1000000000000000000 526941074 498369224 54498981 131239450 1000000000000000000 425095313 166068251 136905969 250920621 1000000000000000000 996713384 972804579 812646281 671156300 1000000000000000000 909256821 608967113 814429958 267158199 1000000000000000000 897337601 622109000 892317560 272795994 1000000000000000000 685234818 435852432 535563741 473429391 1000000000000000000 495389277 182137933 19707872 332686037 1000000000000000000 504043363 406741845 409612803 75268427 1000000000000000000 560951638 384208197 46536795 220481633 1000000000000000000 537921971 144140132 79892310 343374765 1000000000000000000 860341358 458053964 493673232 290950801 1000000000000000000 904843549 35518891 848000184 397873911 1000000000000000000 579526273 145547014 479158184 386828508 1000000000000000000 457219024 168213011 411375359 132572814 1000000000000000000 230928173 170297611 11776609 106299128 1000000000000000000 89407919 13431535 61281947 80625852 1000000000000000000 573715828 289247287 189796682 487172851 1000000000000000000 524251645 492624056 437841206 261301191 1000000000000000000 315503181 26200233 161202060 43888484 1000000000000000000 610589609 295749124 503994721 378960070 1000000000000000000 102312683 1898087 9976814 4501623 1000000000000000000 636568863 147231803 493936846 513864349 1000000000000000000 555052322 499759149 151847250 222664068 1000000000000000000 424299971 136415229 47717077 298437018 1000000000000000000 850341263 307368468 784663616 783270690 1000000000000000000 365271169 8782002 257712667 31985295 1000000000000000000 881380150 119856305 203211222 363292415 1000000000000000000 952785767 891412452 259277810 254487932 1000000000000000000 202264040 102370979 84657356 169772694 1000000000000000000 504612770 98703939 412907266 474299228 1000000000000000000 352174085 23992828 292566719 57137603 1000000000000000000 859646823 225897870 845683236 272549023 1000000000000000000 473708348 269224376 105840170 35673458 1000000000000000000 717455004 549890295 508857313 626178224 1000000000000000000 709370 366100 196707 511263 1000000000000000000 741634455 579514850 612505781 569011752 1000000000000000000 515771808 472581239 96363128 265253993 1000000000000000000 383913295 52516055 355766333 176722389 1000000000000000000 512105146 97047838 275082214 36121739 1000000000000000000 616287589 325932173 27081374 485957361 1000000000000000000 705611427 304624249 117412476 173319561 1000000000000000000 241758581 130165329 93696839 17656057 1000000000000000000 835176044 497284860 457488143 399124051 1000000000000000000 103580838 3421837 16394268 97155733 1000000000000000000 514531984 252830214 459254788 176369586 1000000000000000000 700601421 5244187 537415447 524877027 1000000000000000000 503191426 31255712 105475475 400022069 1000000000000000000 151342577 1904226 83747632 113194455 1000000000000000000 894294978 123368253 466541837 143188767 1000000000000000000 201600267 102469083 56348170 33942939 1000000000000000000 617134334 166308986 607315425 251964050 1000000000000000000 300934634 227796148 238138338 227141641 1000000000000000000 981431812 675019048 671831810 452886743 1000000000000000000 954283096 919668298 433454269 243022212 1000000000000000000 437848762 279705725 286041751 332332587 1000000000000000000 5943371 981200 2185389 94750 1000000000000000000 599384057 100993099 414256306 485667601 1000000000000000000 835693328 59406875 163952921 639797221 1000000000000000000 902951037 427393183 560820021 398034866 1000000000000000000 14593859 11729306 8968835 248730 1000000000000000000 585552662 452511024 376415173 535179591 1000000000000000000 54208361 1352804 31530934 32133834 1000000000000000000 367615632 173361978 325022458 136728863 1000000000000000000 321209555 38252768 85261138 137210865 1000000000000000000 653909842 597279344 622211661 340719221 1000000000000000000 931715406 338414833 59510757 357362192 1000000000000000000 900413946 259806243 743147438 527632202 1000000000000000000 178849739 125271573 8849515 109373561 1000000000000000000 939600950 619996269 374376511 92234899 1000000000000000000 642227910 576017966 631743448 81383830 1000000000000000000 880540718 541468005 382848885 484658921 1000000000000000000 913733978 686383287 169488401 555893062 1000000000000000000 286799077 125330235 221306348 138840486 1000000000000000000 440272416 323670059 383565807 403911637 1000000000000000000 945583357 536305048 8526137 690118295 1000000000000000000 106008402 101321215 4343948 2574189 1000000000000000000 706762896 411312355 252382531 677277042 1000000000000000000 21337838 16215072 7215000 18011625 1000000000000000000 430744854 224293774 242146187 182659557 1000000000000000000 245263492 63925793 129530903 156561453 1000000000000000000 666424483 460591506 571368803 103618393 1000000000000000000 608240756 274791903 305113752 205235544 1000000000000000000 735167451 177175001 475505744 681617883 1000000000000000000 949886987 42278775 632207499 89023103 1000000000000000000 731296937 107868760 180489450 303567601 1000000000000000000 411424074 347712268 370422960 16286602 1000000000000000000 948446344 443934887 936753958 914795621 1000000000000000000 298249895 293835423 262444891 142316229 1000000000000000000 86058961 81486796 78699459 76931477 1000000000000000000 683516815 479713347 296192142 625792019 1000000000000000000 763982549 109071946 150349688 277044721 1000000000000000000 795926097 460500671 166227807 228460368 1000000000000000000 353817538 44646376 158629946 231592291 1000000000000000000 27414473 6784902 18225777 4900006 1000000000000000000 187886032 58897916 7280492 52643840 1000000000000000000 985857935 521172177 616571455 195618080 1000000000000000000 932674500 8154936 897959176 184128029 1000000000000000000 289491117 130510723 229808496 75320047 1000000000000000000 583342997 162443384 170709654 322807353 1000000000000000000 449915087 269761200 205880554 224803270 1000000000000000000 212411072 91085068 192753567 138581345 1000000000000000000 964349102 453860253 731008014 303024024 1000000000000000000 945874340 542859813 274435004 20746998 1000000000000000000 448517396 294850440 351177700 27589690 1000000000000000000 529543097 105771168 474289415 326935037 1000000000000000000 224830798 118716179 113417414 91651673 1000000000000000000 305733538 178473679 138400794 39877143 1000000000000000000 478516510 238158479 344462632 198961727 1000000000000000000 768050701 57610521 520435867 456044340 1000000000000000000 863025918 56722669 660249175 301098392 1000000000000000000 576947796 188771137 82679013 425902860 1000000000000000000 572340816 24740389 436435130 25986477 1000000000000000000 508412689 144084019 321980898 75939056 1000000000000000000 996690476 510381855 744382484 109172087 1000000000000000000 421169912 270323242 155747284 174230304 1000000000000000000 531545297 387277813 333481790 522541804 1000000000000000000 407367939 214928138 359077245 331326034 1000000000000000000 55529129 8412920 20778429 42993190 1000000000000000000 858866042 651920949 714531341 375454010 1000000000000000000 94870641 9192730 89256648 4574369 1000000000000000000 557075097 112582685 407874945 146195360 1000000000000000000 668380715 408041356 621527895 61042874 1000000000000000000 923769710 300865923 261280333 887446182 1000000000000000000 149855995 963596 11062964 32967676 1000000000000000000 883231294 178755235 217526710 185855230 1000000000000000000 929219181 766733930 874209101 342362780 1000000000000000000 247310290 208887603 2705722 40019056 1000000000000000000 277351637 263640354 162044626 19394554 1000000000000000000 62196777 15520537 61680890 3061173 1000000000000000000 257415654 199632364 167503275 177105748 1000000000000000000 470966267 455594090 336313601 40689877 1000000000000000000 263982778 56632381 137762674 80130175 1000000000000000000 736797625 126301073 346149233 51770612 1000000000000000000 96573629 35303182 9145683 84818594 1000000000000000000 35608637 21325351 20225573 16074197 1000000000000000000 77690153 54389563 31924674 3043090 1000000000000000000 319085501 264505739 175975897 206594586 1000000000000000000 73835750 13077976 22354691 58371610 1000000000000000000 764588194 293563507 698536016 478427449 1000000000000000000 110436410 76483559 10948194 100212018 1000000000000000000 22122352 3253514 18944444 5175436 1000000000000000000 578568913 2522629 505080298 415339342 1000000000000000000 762221862 588375142 431990371 599846780 1000000000000000000 22660871 13870898 1658861 13483628 1000000000000000000 374455445 255219064 23058925 151759855 1000000000000000000 382960835 264053054 129274385 37487020 1000000000000000000 147220537 142763166 64003773 78286764 1000000000000000000 922851210 182130901 486471533 916535353 1000000000000000000 901391624 195053036 370401441 874983980 1000000000000000000 805587768 544100440 794077772 49225345 1000000000000000000 953714971 943291671 639084604 817994179 1000000000000000000 24636022 9596511 6253052 6164922 1000000000000000000 719420756 549601226 547184548 340495762 1000000000000000000 598352891 281575473 502479692 74669055 1000000000000000000 237792999 185107654 72476186 10984636 1000000000000000000 655775066 96781855 308092261 140438128 1000000000000000000 942582027 783696404 555517645 757034593 1000000000000000000 553719693 503147986 530960870 61800897 1000000000000000000 447406755 313998148 406863548 142553556 1000000000000000000 301678127 237382326 225751481 193586505 1000000000000000000 889426689 6200142 862374479 186675301 1000000000000000000 445420110 412809832 282621273 221633524 1000000000000000000 323759402 217632231 182333533 17282639 1000000000000000000 567406667 359167718 229728348 29370544 1000000000000000000 191970261 186952116 96209663 172190995 1000000000000000000 765060147 576684011 60883207 394923170 1000000000000000000 846062411 309887175 169344017 397994768 1000000000000000000 320303053 112290608 284488113 194959705 1000000000000000000 458898856 133625974 308357155 132956674 1000000000000000000 616578418 446727559 527763767 194295014 1000000000000000000 109343002 31724233 5370211 1169323 1000000000000000000 864498670 681882889 663155890 734354454 1000000000000000000 59286428 7764996 42394175 38206855 1000000000000000000 213356221 156283821 81502562 56202879 1000000000000000000 460739581 193872021 214055981 456822378 1000000000000000000 331521857 62548777 253551807 157311298 1000000000000000000 532764630 78805199 432269668 279359564 1000000000000000000 744050599 414892426 615432000 633289452 1000000000000000000 615994323 372864433 75716908 145639625 1000000000000000000 520277498 101160400 184644550 151070133 1000000000000000000 175845288 39741970 136424473 86007260 1000000000000000000 589011263 376546861 130992927 214481198 1000000000000000000 379728053 208163136 375007888 290821243 1000000000000000000 445587056 327064188 244527796 196288695 1000000000000000000 615068561 366980515 294371459 439238292 1000000000000000000 831519994 225225281 624990386 299259099 1000000000000000000 994668584 315196712 779587834 960743808 1000000000000000000 342049645 163146008 317895864 338771307 1000000000000000000 923469498 322454250 609815472 322500954 1000000000000000000 574056947 260065147 179319100 435734563 1000000000000000000 387083314 63491135 314767016 342800017 1000000000000000000 233544576 158718018 58840446 157876259 1000000000000000000 70231918 25210270 58767202 11959350 1000000000000000000 298389100 112446580 192607011 14035191 1000000000000000000 542120628 157255534 209858552 130828278 1000000000000000000 450515567 171028654 90264333 61426900 1000000000000000000 260656998 48499031 232335222 215411908 1000000000000000000 185913956 75711111 140835631 89841340 1000000000000000000 604615736 582969436 196409481 365275146 1000000000000000000 791044281 52958280 636228655 675015098 1000000000000000000 551340819 129735272 14854515 306918087 1000000000000000000 906334899 434712653 390068662 421600399 1000000000000000000 133378817 72128590 52713394 92491156 1000000000000000000 395261968 41923269 392915468 121987839 1000000000000000000 255647264 14774161 223087558 34754630 1000000000000000000 739706960 436639742 649749596 93068967 1000000000000000000 952472739 247855770 250837765 637262111 1000000000000000000 296253303 257527242 262066237 111356496 1000000000000000000 311798455 111232153 13347834 306024851 1000000000000000000 779254973 136467517 738380503 391531751 1000000000000000000 237300964 173891888 146440483 182924387 1000000000000000000 738238044 137972990 180676033 247867870 1000000000000000000 246312594 63982099 111195905 55885270 1000000000000000000 486253606 409822709 258076213 7387009 1000000000000000000 272652859 47161777 62375858 34349966 1000000000000000000 195453039 69838252 192696286 43051585 1000000000000000000 451303005 271810610 384930449 56348268 1000000000000000000 160889362 90654888 75738047 11337719 1000000000000000000 814426986 79092338 136058101 494415024 1000000000000000000 986937564 598051935 683259488 352465488 1000000000000000000 434487103 153127834 223647476 198072390 1000000000000000000 132350211 19568641 8191300 37149421 1000000000000000000 71917456 37163311 34630876 3070202 1000000000000000000 713066502 198270094 685338236 213125835 1000000000000000000 765301103 294351845 200544083 699846311 1000000000000000000 187685366 155922857 70705881 102056532 1000000000000000000 349419959 338477349 275248859 81796834 1000000000000000000 323235080 205063723 265457267 140990257 1000000000000000000 197167351 66495806 189770749 16206603 1000000000000000000 813119304 491544535 240338668 670229147 1000000000000000000 26810328 942676 11169328 25052000 1000000000000000000 126338917 48799738 64702240 46904488 1000000000000000000 822032305 180097962 264824927 804990918 1000000000000000000 990974706 666332102 241197301 675636867 1000000000000000000 490162705 124646883 217869692 103648780 1000000000000000000 289486686 21659593 162783552 155608031 1000000000000000000 41318739 166040 40680918 29367467 1000000000000000000 726654430 26016137 95182125 28721534 1000000000000000000 581209445 16521561 99225250 161577614 1000000000000000000 149331216 29804879 110132764 137560214 1000000000000000000 117885584 6644223 99880962 9316079 1000000000000000000 70708665 9178616 18017494 25216405 1000000000000000000 688496570 314341578 648318648 162851376 1000000000000000000 534251352 479780077 498235350 68948960 1000000000000000000 138583957 12370601 113532101 107785959 1000000000000000000 724862144 8751955 43508935 379607995 1000000000000000000 503479922 66491316 450255963 313157740 1000000000000000000 610977674 413324665 422990713 479304987 1000000000000000000 577146955 217951260 161746888 29230852 1000000000000000000 777438771 445281339 620666960 543558417 1000000000000000000 441890369 367991633 300621696 133000417 1000000000000000000 325210862 322825097 324420094 188737923 1000000000000000000 177629038 174210153 68992913 32359645 1000000000000000000 991745430 972509079 546938373 862253059 1000000000000000000 72153994 59046650 68590580 1097136 1000000000000000000 900342138 868315310 374564685 178736785 1000000000000000000 202257604 173790702 3428892 11182140 1000000000000000000 458296764 268402987 389335418 101987390 1000000000000000000 452654277 354413023 439560326 294151907 1000000000000000000 145283803 76687458 23356842 9940610 1000000000000000000 808066198 590024966 115744566 770691024 1000000000000000000 789802413 241936206 375639440 151209889 1000000000000000000 281101312 9935456 213848755 228919449 1000000000000000000 559839426 312056323 264463288 342766271 1000000000000000000 336676927 259675689 269691954 191314851 1000000000000000000 678517208 397027478 115941804 76708639 1000000000000000000 507429366 178323422 483214338 209702307 1000000000000000000 281252355 271640327 55383463 235695230 1000000000000000000 987701520 12557481 860482175 654923265 1000000000000000000 826457357 460317649 2709137 198829861 1000000000000000000 639456022 410259635 584071353 303809800 1000000000000000000 259163422 205794111 225777167 217072930 1000000000000000000 261305308 198341155 7550684 125242041 1000000000000000000 669073127 602911370 295657130 31964638 1000000000000000000 293548208 185892615 3027936 201837225 1000000000000000000 684581710 576203276 259893816 96856713 1000000000000000000 582014500 423612914 127451236 269275957 1000000000000000000 716427817 86811283 434701060 126660269 1000000000000000000 264129969 70936899 233442073 165008822 1000000000000000000 914410976 768630388 371948447 52449274 1000000000000000000 188394360 163810730 52391229 133645496 1000000000000000000 892753924 620986759 605724507 366417056 1000000000000000000 326410397 45815607 313571003 136897345 1000000000000000000 347370438 247315377 110972962 29244863 1000000000000000000 542472269 401636086 499680896 88401719 1000000000000000000 384366881 8989498 63718772 260764206 1000000000000000000 69740041 54201610 64424632 36803178 1000000000000000000 379680454 100779317 77134624 63825347 1000000000000000000 150495985 94986168 42099748 129581978 1000000000000000000 127919588 106589149 33454912 14285287 1000000000000000000 91072322 11891048 88853313 59317265 1000000000000000000 453994181 289583027 407565751 143282966 1000000000000000000 176532613 162967867 141019074 100895484 1000000000000000000 629690671 477934312 458603750 67589741 1000000000000000000 434170862 285588502 106067102 253006919 1000000000000000000 665475962 321935668 542315406 249181322 1000000000000000000 411126399 109279666 103235133 145827356 1000000000000000000 748001698 154570207 218726935 565775791 1000000000000000000 271278367 225869869 221664414 168969175 1000000000000000000 505727341 317489962 65836527 102882606 1000000000000000000 794106315 768073562 347960332 626938088 1000000000000000000 10745465 3279646 2369710 3492355 1000000000000000000 340616156 208241734 165033505 194658482 1000000000000000000 765469134 351676971 452881411 616183738 1000000000000000000 522648650 95883639 228727213 99964465 1000000000000000000 466651712 147104545 115308059 162187867 1000000000000000000 999460405 215283867 743644561 654313053 1000000000000000000 822891453 91617001 256119139 687436327 1000000000000000000 316166097 115792152 140072208 109511180 1000000000000000000 808764845 606675195 618626508 112911522 1000000000000000000 288520735 200581375 68982361 5949429 1000000000000000000 458149577 386481581 143470326 107992070 1000000000000000000 236085634 161451857 225657345 121299575 1000000000000000000 940769126 768679550 84184876 909307080 1000000000000000000 862261176 306568825 291020648 860785400 1000000000000000000 655137102 522741579 628641848 103509560 1000000000000000000 148964147 77289624 68701786 129578337 1000000000000000000 48267417 25530397 4760781 38831794 1000000000000000000 545733598 340787398 255372124 32726651 1000000000000000000 947029077 719442676 205064108 496533069 1000000000000000000 446345526 162668260 426238155 267301943 1000000000000000000 929858188 687137986 28924586 670055528 1000000000000000000 885828351 158475104 323263202 105261657 1000000000000000000 377689258 336732074 3903093 277735380 1000000000000000000 352313794 333873137 129151307 201539809 1000000000000000000 752472882 426249326 634258649 61490079 1000000000000000000 222434009 10431060 217107833 211809758 1000000000000000000 614406069 608628332 439933287 354747893 1000000000000000000 533232683 353689529 17548957 458624431 1000000000000000000 94108365 14851618 91840846 72643448 1000000000000000000 782469844 483343629 573583305 423432147 1000000000000000000 993331473 824770403 24490989 989134978 1000000000000000000 498623935 22655491 492232902 149222286 1000000000000000000 160454075 34421695 140255569 109827014 1000000000000000000 219926904 131978387 151619113 157344893 1000000000000000000 238866684 133086692 192235992 191760190 1000000000000000000 272163835 161779612 270307054 164066410 1000000000000000000 611702431 43999105 326883819 378283461 1000000000000000000 183029197 148804496 35558357 154944888 1000000000000000000 852851708 738729994 321370714 707424580 1000000000000000000 838739689 543279975 529228816 708527908 1000000000000000000 676650003 247643910 234399114 448912628 1000000000000000000 4615306 2751355 3845124 2735413 1000000000000000000 558244274 379911775 555253672 264347960 1000000000000000000 711278226 476919540 318391089 278437236 1000000000000000000 2911452 2265473 1232621 995404 1000000000000000000 876852512 287885293 753113759 279643786 1000000000000000000 258008875 117763941 27140318 2188514 1000000000000000000 775223926 101677684 754950050 67902574 1000000000000000000 871937426 428376535 57461337 231140164 1000000000000000000 973549505 943126014 356261162 720280003 1000000000000000000 93940186 86558443 777027 82329202 1000000000000000000 841021874 366458546 61653824 464970927 1000000000000000000 76879402 31978720 10357804 16492878 1000000000000000000 267671663 216432573 27369648 138148421 1000000000000000000 641632057 135284876 114617300 94973076 1000000000000000000 620573526 265504322 465850527 456017477 1000000000000000000 833340920 645013856 605794533 516239043 1000000000000000000 768746080 503371155 537293756 644322662 1000000000000000000 562573936 249727451 481281081 100347522 1000000000000000000 814110992 640318732 271176216 636885443 1000000000000000000 131274312 119959830 15904769 101408998 1000000000000000000 71522608 43652319 11984750 58302303 1000000000000000000 681410789 410037513 489412532 60156634 1000000000000000000 484074675 447451564 324398127 127059715 1000000000000000000 554037367 1598727 137936244 373978802 1000000000000000000 540276732 357004567 454784757 244344539 1000000000000000000 980088181 158875334 150220498 535910538 1000000000000000000 350410817 173234049 31664296 180416499 1000000000000000000 228549423 59829435 16887167 100371635 1000000000000000000 922235929 585177076 905377869 597670677 1000000000000000000 359909813 122652947 88824393 129004548 1000000000000000000 229953457 128228927 175697451 40875290 1000000000000000000 625919301 235157096 195597564 477284843 1000000000000000000 612569971 111447240 52778592 35501334 1000000000000000000 209629473 78552151 32813430 22095535 1000000000000000000 692193598 224961641 442504116 578671241 1000000000000000000 521628170 488677641 337217814 331530705 1000000000000000000 118943156 37279274 82177935 21616168 1000000000000000000 952325519 801524767 776562959 192185106 1000000000000000000 683510938 554311091 551649032 41735474 1000000000000000000 568336673 497899442 86493615 326474744 1000000000000000000 450091651 70158628 326497022 221101389 1000000000000000000 638702711 293333842 559677929 542529563 1000000000000000000 74527531 69946550 45425794 65257280 1000000000000000000 436834383 243859616 169163329 156667465 1000000000000000000 693766039 103407667 123517422 149081046 1000000000000000000 657848172 640340288 283405087 177857516 1000000000000000000 76748014 28356374 54808609 6184821 1000000000000000000 568546174 502653994 487956806 448822717 1000000000000000000 496827473 127558840 880053 92843926 1000000000000000000 618642180 63797859 371070463 34507145 1000000000000000000 458728936 58880891 406937860 40314827 1000000000000000000 75284109 40810555 37850094 17786561 1000000000000000000 83616042 68006583 7813412 32922343 1000000000000000000 70645245 30107100 2735106 56663328 1000000000000000000 393911083 236763562 352959502 309517851 1000000000000000000 986813833 443232598 207103256 42274107 1000000000000000000 923337721 101247663 618572399 439511479 1000000000000000000 761962463 4164759 726004375 503495149 1000000000000000000 796867481 677802165 129676693 419525418 1000000000000000000 443701795 53007085 300082827 87312112 1000000000000000000 646705608 595466212 566916570 11674317 1000000000000000000 357519621 252583550 263704795 297918758 1000000000000000000 857575508 434471188 30394299 782323018 1000000000000000000 824731544 430790233 339774143 446940440 1000000000000000000 481422874 433943010 14170134 140036235 1000000000000000000 370893748 331485826 153641245 307859246 1000000000000000000 145021900 25177354 32206190 60170143 1000000000000000000 821302883 74427263 11133584 303176581 1000000000000000000 106592462 41954850 38554678 31636280 1000000000000000000 356516772 236697923 312735920 95930941 1000000000000000000 474125620 244495109 427414721 399157221 1000000000000000000 512649201 389217702 398747857 182643078 1000000000000000000 166342109 145083742 123671645 77531021 1000000000000000000 980112038 497600112 711126950 790345830 1000000000000000000 723603512 426789684 60264837 311240370 1000000000000000000 905773763 109151847 63266671 424091990 1000000000000000000 979607290 794197945 641791143 697041477 1000000000000000000 472253420 126923937 463680202 86621056 1000000000000000000 69314161 2700973 43153790 25395780 1000000000000000000 319908502 124523942 206140604 151418208 1000000000000000000 941197710 117485567 794826834 647385489 1000000000000000000 991158165 410070339 973661474 344868121 1000000000000000000 746580382 65186550 41551613 495918680 1000000000000000000 722202979 4160079 704702591 426355232 1000000000000000000 88655501 56553502 29916108 56190046 1000000000000000000 984655778 639604346 861822301 332675596 1000000000000000000 704528443 96606277 550876882 49913320 1000000000000000000 122209961 56552743 11832871 25696206 1000000000000000000 210893981 5410079 103683813 90494514 1000000000000000000 419349694 378499029 325590100 212682492 1000000000000000000 217095418 111518139 113269518 20123433 1000000000000000000 810997790 124217181 555928008 124569560 1000000000000000000 114133395 71209413 27414441 57049527 1000000000000000000 792978869 743181304 229799699 702524595 1000000000000000000 81956588 15679291 30493243 64266622 1000000000000000000 330321829 186506972 259389018 233653454 1000000000000000000 125520517 31712583 30681013 112100365 1000000000000000000 540837687 354377176 279689508 97654612 1000000000000000000 431461349 140611720 424177621 57229910 1000000000000000000 546141780 42342519 528969831 134033949 1000000000000000000 261584622 124727974 39521341 80776166 1000000000000000000 32149822 23324197 20092762 25610065 1000000000000000000 954165299 660100520 854240138 460440447 1000000000000000000 484266284 279185056 335855327 471199678 1000000000000000000 227491939 170730975 44479739 13152153 1000000000000000000 531108890 93799319 184375701 246546804 1000000000000000000 510073398 364598258 408585944 401526248 1000000000000000000 251651941 215037630 21166998 9505693 1000000000000000000 266320376 80869800 187814523 7634018 1000000000000000000 979771270 97796130 9931227 490467507 1000000000000000000 702446930 700969815 213723278 150629545 1000000000000000000 728324328 437373632 620736990 233328194 1000000000000000000 69963597 69611117 21854777 57577797 1000000000000000000 177552592 16557565 27492974 22476463 1000000000000000000 894715887 488669737 826512198 73932654 1000000000000000000 977787664 585899394 358020969 775588473 1000000000000000000 409878504 344750498 217678443 332751282 1000000000000000000 546430815 439738271 285399338 280088014 1000000000000000000 74806439 67709057 33818109 62739743 1000000000000000000 140516548 2285103 112256734 29396533 1000000000000000000 737937463 62066131 476514064 492917576 1000000000000000000 337354615 60144105 321911405 267954797 1000000000000000000 632393586 547448811 423697583 13866507 1000000000000000000 688967304 260274127 162283358 455219888 1000000000000000000 770023013 551523336 29245994 669359814 1000000000000000000 844098497 494969822 786049974 310294301 1000000000000000000 316553809 170933495 6636142 42525803 1000000000000000000 485690197 356275610 269167573 333531000 1000000000000000000 108745788 13574040 97603566 106455018 1000000000000000000 693702792 45893457 121278584 187362668 1000000000000000000 861702585 492252647 580864591 571993925 1000000000000000000 148386890 104234859 29631088 5021426 1000000000000000000 788381181 249789714 562659001 619764444 1000000000000000000 870421215 488340499 566678282 95718149 1000000000000000000 34324850 15240092 31604333 30446933 1000000000000000000 538311577 412867031 364738237 491617091 1000000000000000000 67253947 66733072 49861777 64902935 1000000000000000000 459060262 271090999 171175565 208130448 1000000000000000000 697531983 652496006 165603661 566996504 1000000000000000000 721885796 614189474 655444435 104514815 1000000000000000000 49114919 48006575 2497609 2858623 1000000000000000000 804987389 567313913 600545295 508898432 1000000000000000000 899723093 648123350 13352119 741388371 1000000000000000000 455749592 244706584 95422319 264501170 1000000000000000000 948654312 563148442 612378728 863448708 1000000000000000000 28910600 22740353 12876088 3172462 1000000000000000000 682925520 108855744 100491649 107141374 1000000000000000000 470994516 204266953 442135836 12204139 1000000000000000000 339757508 192880716 155904748 24851546 1000000000000000000 995277057 305023810 249965208 685626625 1000000000000000000 74715343 34940365 26692643 34098287 1000000000000000000 385099689 322558994 94883205 198921771 1000000000000000000 883950310 721536296 842280333 290404843 1000000000000000000 101784887 80129154 26330826 65235786 1000000000000000000 395701093 373642935 289767073 356366784 1000000000000000000 60962684 37868267 20471810 42700095 1000000000000000000 208079151 189651910 46839928 173861124 1000000000000000000 97369832 52602644 39156943 45477437 1000000000000000000 611915881 284305423 158193238 111215054 1000000000000000000 136421076 55776000 79380342 82377786 1000000000000000000 296585646 78601550 233938567 165243362 1000000000000000000 754007980 436297030 114913088 703219762 1000000000000000000 555757084 92198753 354534089 44134023 1000000000000000000 100888165 42776712 6116833 33063303 1000000000000000000 643120174 507334693 308000670 260834350 1000000000000000000 631764458 580852150 425334815 147364586 1000000000000000000 753948179 18640421 521582570 272086816 1000000000000000000 802198415 485862432 726218997 510513531 1000000000000000000 328517226 123024926 206237124 319285162 1000000000000000000 379117384 39753965 297793064 220767540 1000000000000000000 616508770 210655055 364188762 587263829 1000000000000000000 845861378 286773328 95552017 723931278 1000000000000000000 830288900 431116971 595607296 468083188 1000000000000000000 343347244 140731947 189534403 300548018 1000000000000000000 631137416 460376770 533547470 217257310 1000000000000000000 456593546 417322664 224041131 206011166 1000000000000000000 896517120 478744910 93761115 563780213 1000000000000000000 58315818 24584416 51128039 55209866 1000000000000000000 828556036 747051767 595139145 375093938 1000000000000000000 116093240 89185692 41353235 3523690 1000000000000000000 556014676 246086606 415808190 27367754 1000000000000000000 436229805 97898349 145234257 330376243 1000000000000000000 558431174 116810323 530238963 260664224 1000000000000000000 204403045 32383985 163784737 131301865 1000000000000000000 562820119 42448594 294934872 246123767 1000000000000000000 378103612 117545426 214648604 115065858 1000000000000000000 666433684 111148199 499898825 121602839 1000000000000000000 185617066 180932106 69952288 92194428 1000000000000000000 885436890 223419743 487758524 638599760 1000000000000000000 977356111 814074813 26123296 878245220 1000000000000000000 841501686 601309564 251882822 758428106 1000000000000000000 492011692 250317754 311272421 265161127 1000000000000000000 55326447 4761703 21400756 16991223 1000000000000000000 223434428 24785055 160716259 72460759 1000000000000000000 324111685 257257550 37719291 197557792 1000000000000000000 20696308 9689748 7097378 7875374 1000000000000000000 154551595 61544732 55209179 92429103 1000000000000000000 365044806 24595928 209239641 217182089 1000000000000000000 761814112 64135219 128980664 337686482 1000000000000000000 241186260 130682818 58831049 1116115 1000000000000000000 904544763 580093964 860971447 252399731 1000000000000000000 541512294 41153062 278358150 303347570 1000000000000000000 651091223 480571511 563231142 591420043 1000000000000000000 66066109 44458307 41682914 18984343 1000000000000000000 439471461 209261803 182699499 305336948 1000000000000000000 563662783 223169496 514269769 336844457 1000000000000000000 280268436 49392499 24500371 110193768 1000000000000000000 276933430 125545777 223226843 84436122 1000000000000000000 330221657 175194517 39960574 148520606 1000000000000000000 952637112 542087564 398265511 951278081 1000000000000000000 713415055 648818299 251575581 119148177 1000000000000000000 628701006 254388810 546585940 423268712 1000000000000000000 729180599 167119546 526163807 338320763 1000000000000000000 984673918 857590902 818409661 15695733 1000000000000000000 779433796 421954498 118481584 95244010 1000000000000000000 699880171 137324475 105144973 163624010 1000000000000000000 6020492 4997212 5229201 2870118 1000000000000000000 696311901 323507569 118097679 128219503 1000000000000000000 954973381 509337086 917333485 486004409 1000000000000000000 692616348 159472826 201993098 539312466 1000000000000000000 784794793 168300774 520765846 17317825 1000000000000000000 373577341 279589026 225577824 244661926 1000000000000000000 396516238 274860875 341895046 39878923 1000000000000000000 891428504 268999020 141208211 699961057 1000000000000000000 35234497 15207692 11820529 19541744 1000000000000000000 784136927 665129404 633940551 297479912 1000000000000000000 630778355 35619955 385364267 472056951 1000000000000000000 291700253 96290676 195764386 225113471 1000000000000000000 416478675 267363724 184622745 47991689 1000000000000000000 42938837 4563415 1206266 6111774 1000000000000000000 353086632 328145622 17738693 110394951 1000000000000000000 842497254 627241443 824882417 249262868 1000000000000000000 528908041 519853469 361848049 55591942 1000000000000000000 546787284 20761474 305315421 387823680 1000000000000000000 896810479 368680604 375078442 130497299 1000000000000000000 300202531 122172153 12136755 64198216 1000000000000000000 546887646 133638135 367962847 506605975 1000000000000000000 25736560 21326273 19436034 14582975 1000000000000000000 470358641 136220164 175325662 429847077 1000000000000000000 798199419 253636410 93343692 750018109 1000000000000000000 805057541 428878914 357429543 619326475 1000000000000000000 535578343 149265227 62675125 235883382 1000000000000000000 928260684 502556125 790444898 638432048 1000000000000000000 281142148 163843385 171238745 165700326 1000000000000000000 149479144 44532163 34668513 39125274 1000000000000000000 751265062 402569142 662486971 521086212 1000000000000000000 722424462 398990300 5165125 300943101 1000000000000000000 936864582 636327380 700380506 587123953 1000000000000000000 821432766 358587069 595548511 170880584 1000000000000000000 472820357 107115600 49737261 77890648 1000000000000000000 697524309 648759304 51761125 210705221 1000000000000000000 638975563 140205673 96011061 107674577 1000000000000000000 416116914 28445666 107493841 144594294 1000000000000000000 289266610 102526273 19091791 272709577 1000000000000000000 918764237 648717124 21938234 354395839 1000000000000000000 13977275 5988476 7419425 8666738 1000000000000000000 658769308 604405115 246780350 464894964 1000000000000000000 109745293 102342914 106639714 29762257 1000000000000000000 749589890 514961040 181571003 366591491 1000000000000000000 793233359 414710606 751696864 630667218 1000000000000000000 762594389 63165055 467634358 339808198 1000000000000000000 835030267 523644332 19479585 433591251 1000000000000000000 191971696 26763358 123974566 176088544 1000000000000000000 251330468 3840792 203364028 63442805 1000000000000000000 513222616 75064161 171683620 127493279 1000000000000000000 691089190 74828451 397512792 342631004 1000000000000000000 936394524 767537921 28956016 628265716 1000000000000000000 342124319 286262984 181268665 306088395 1000000000000000000 974471828 175775339 283435398 722277460 1000000000000000000 982083073 503460214 96974881 392170610 1000000000000000000 847495019 337734944 695015349 567822047 1000000000000000000 253096738 76151693 107415242 27695601 1000000000000000000 715719713 201990745 423844762 99431684 1000000000000000000 136546150 95917758 37663118 17011895 1000000000000000000 982081590 677002522 112147938 284909560 1000000000000000000 248809809 72904679 22043604 15175094 1000000000000000000 726827445 497049374 63193684 135488498 1000000000000000000 165352518 64699171 129617946 84743970 1000000000000000000 951277469 73170896 37425182 586964633 1000000000000000000 148012448 60090017 75342945 5673054 1000000000000000000 483261281 273207947 129057315 299030181 1000000000000000000 812955750 785612835 242730168 41726539 1000000000000000000 759404720 407447655 128834889 306528188 1000000000000000000 927599004 890134941 273646849 641076892 1000000000000000000 773733172 76522767 292115768 529056043 1000000000000000000 446383462 252383898 3277058 224139197 1000000000000000000 218254857 8743348 73020748 78145487 1000000000000000000 360088949 19408523 299547106 162518317 1000000000000000000 222304943 140349227 134797044 203504405 1000000000000000000 446804235 197774287 334864456 93982383 1000000000000000000 17969612 6429529 3282290 15618022 1000000000000000000 640354342 232006904 474285408 361711581 1000000000000000000 821055818 390995552 393173686 707428770 1000000000000000000 732992793 303525666 211646246 102515467 1000000000000000000 901651840 673307129 82210258 840332029 1000000000000000000 816306858 290707453 314290899 536718461 1000000000000000000 243856104 168222535 160282714 155726932 1000000000000000000 970416761 296240262 51119299 572088867 1000000000000000000 474080420 70281959 185454239 167539372 1000000000000000000 382752412 10872811 377321877 165045173 1000000000000000000 312555807 215851503 249681695 153933425 1000000000000000000 221633062 175277995 152767584 164260662 1000000000000000000 430150723 404762342 345023334 233999296 1000000000000000000 250881154 144162029 131347522 37630275 1000000000000000000 341753401 18010127 141481292 328106152 1000000000000000000 299930022 81955298 260136256 182421288 1000000000000000000 772686128 640564547 261475710 333853569 1000000000000000000 890689140 596765294 197825342 317422871 1000000000000000000 27786158 22840241 27623428 23051302 1000000000000000000 393539308 184407039 5753326 107359801 1000000000000000000 802286117 247345221 148702955 152741636 1000000000000000000 295416338 82749006 249685177 101637264 1000000000000000000 787543745 573957303 295827091 452336692 1000000000000000000 921026424 195123464 885643734 660589367 1000000000000000000 734261657 38677343 185659864 51442041 1000000000000000000 183687401 181886794 116933828 178692425 1000000000000000000 244814751 108236490 84926777 61632734 1000000000000000000 819272117 799138139 136693830 118819133 1000000000000000000 355596956 253760852 268991305 273332155 1000000000000000000 360468374 251428015 174266820 55808271 1000000000000000000 89375970 49512281 73405966 69728495 1000000000000000000 484596498 125644017 472206072 324929661 1000000000000000000 975602955 544050950 344668096 744021753 1000000000000000000 172172534 122150993 68091957 2777062 1000000000000000000 321238190 159488674 254747242 223000636 1000000000000000000 3555105 2847693 2061853 2632404 1000000000000000000 456727459 447295628 3928009 348122793 1000000000000000000 862565102 703264012 586251947 857052422 1000000000000000000 713041049 608596754 637732865 609339794 1000000000000000000 215044887 126834150 60005721 73820919 1000000000000000000 623154221 464513010 371063821 161895099 1000000000000000000 604256979 292892807 470314960 293437476 1000000000000000000 822394825 232289559 678506755 408711719 1000000000000000000 829340564 49914132 719669695 92481081 1000000000000000000 144545307 2817710 134565363 125931395 1000000000000000000 656311513 284027790 494020700 79992472 1000000000000000000 235748047 187934656 128300495 199847316 1000000000000000000 153970083 94271356 60433661 15793303 1000000000000000000 682474319 396191502 469602095 210347980 1000000000000000000 367112759 230169041 221741991 197627056 1000000000000000000 340330557 153008571 107201466 178767067 1000000000000000000 64041033 24980131 4157872 46495150 1000000000000000000 149719139 91118719 100653513 81486998 1000000000000000000 563065836 406688243 340142048 305452115 1000000000000000000 824330384 305352259 680222945 153348124 1000000000000000000 670930765 286804521 255975047 255535381 1000000000000000000 391086594 8815479 283548938 44730997 1000000000000000000 403494241 17629638 304129154 52404322 1000000000000000000 15192133 7307268 15102730 8945259 1000000000000000000 376644423 102451940 151760807 209828694 1000000000000000000 715899573 413459971 279700843 620632903 1000000000000000000 727337978 712346159 578991948 539964491 1000000000000000000 280612063 9570871 162697014 184048770 1000000000000000000 756713528 481402914 755836206 388840336 1000000000000000000 501407050 198538641 62510198 107729658 1000000000000000000 512259614 458064300 263245930 211355124 1000000000000000000 384454818 259441682 287510295 359955782 1000000000000000000 717911751 671598446 624862339 408620315 1000000000000000000 634479813 478347207 57055803 422674843 1000000000000000000 123698466 117919213 114451308 107435833 1000000000000000000 725497638 523802935 207827824 490568283 1000000000000000000 93771958 66764324 86542644 7488924 1000000000000000000 364641368 40807735 105122070 57265867 1000000000000000000 765744656 514269926 85126989 270218292 1000000000000000000 405166709 134723413 269620773 90726981 1000000000000000000 582871568 21903693 526867894 70095673 1000000000000000000 980940436 756332602 674067132 440455567 1000000000000000000 806469177 31384151 761194154 125134070 1000000000000000000 733422037 53745745 6447424 529476576 1000000000000000000 885593594 645777441 78868981 492482980 1000000000000000000 109550719 67527597 8377724 21614198 1000000000000000000 598563136 412801735 503496960 317949548 1000000000000000000 921670850 175696370 882768411 432678676 1000000000000000000 362457834 153678507 282308740 161995845 1000000000000000000 50329666 32918976 13803384 41635052 1000000000000000000 219877967 189867000 154700528 116707739 1000000000000000000 337422342 249770094 242682905 269305138 1000000000000000000 902826513 416757275 437087826 432497959 1000000000000000000 305347652 146198075 107933733 240651721 1000000000000000000 231668959 164695659 55054580 227184665 1000000000000000000 681161176 332627745 678057567 495563530 1000000000000000000 768988433 123250388 568175774 589566167 1000000000000000000 344936835 274072250 166159467 101542556 1000000000000000000 52867094 31820819 15808137 28565396 1000000000000000000 727507693 416042617 244928627 190159903 1000000000000000000 516827992 135464524 401616013 233720117 1000000000000000000 557215679 19994819 276436977 362053385 1000000000000000000 140960096 130756588 7613603 7435424 1000000000000000000 606352324 237531033 51245417 142058114 1000000000000000000 124838294 8128942 14080405 75372719 1000000000000000000 387986187 358992150 278319946 52325358 1000000000000000000 567834987 521392207 332830724 435790143 1000000000000000000 889304305 732780216 761068301 24522264 1000000000000000000 717231225 355579056 139674162 581365016 1000000000000000000 281862247 41545472 255933582 261869456 1000000000000000000 220882662 178312388 127768900 65921569 1000000000000000000 591775116 315942808 579950832 173263832 1000000000000000000 345045292 290231198 2389437 252420882 1000000000000000000 399457925 387871406 116841484 248776020 1000000000000000000 547708276 296807917 227712906 219669493 1000000000000000000 738505270 654439475 405282660 122619627 1000000000000000000 48759010 47058092 30378968 44928371 1000000000000000000 665217740 11625116 472140979 237788987 1000000000000000000 435345061 204315040 230191136 64666929 1000000000000000000 709234256 285988194 571095272 435801878 1000000000000000000 641035128 388889645 178873034 523421326 1000000000000000000 393813567 76410803 13464102 22596170 1000000000000000000 617995174 533245822 526426669 576568181 1000000000000000000 683174067 596390350 489096905 306977875 1000000000000000000 434805508 371265693 85525718 354145639 1000000000000000000 306005237 54947257 28470313 244630609 1000000000000000000 191453131 14814580 42937147 161629419 1000000000000000000 108266176 67350772 91848438 45234379 1000000000000000000 465537987 336495404 296453925 199406317 1000000000000000000 46621938 27515276 25758078 7837202 1000000000000000000 17496681 5632776 13331579 17276428 1000000000000000000 723685137 539011563 257324897 168974661 1000000000000000000 415905612 50278637 340695029 238549198 1000000000000000000 34028918 18125483 31779275 19108397 1000000000000000000 370227826 313193505 236603762 349421505 1000000000000000000 642597868 571246373 91397820 183717168 1000000000000000000 941411244 49878189 470163772 820467528 1000000000000000000 666250685 172036404 466648804 436309907 1000000000000000000 645457786 243675612 399049997 291518515 1000000000000000000 841846569 258263481 834302418 273095869 1000000000000000000 149677541 125580933 143752653 37644513 1000000000000000000 693154413 314125865 466320479 371332446 1000000000000000000 375111182 60135877 355261306 38966101 1000000000000000000 451324936 195226257 5956508 71750779 1000000000000000000 292328368 104043451 75235512 118317055 1000000000000000000 2409550 2108505 1717192 1087679 1000000000000000000 710492202 676100096 387217982 148690047 1000000000000000000 527791190 224999924 160694827 519764159 1000000000000000000 767898664 715894875 682388962 431414970 1000000000000000000 699139151 474111831 518187375 527340707 1000000000000000000 335864831 314403205 159123350 305747482 1000000000000000000 965173967 172542988 640133314 212152364 1000000000000000000 459861211 313271686 426163329 298503467 1000000000000000000 588516019 507780292 157332250 377056644 1000000000000000000 452504399 421932614 312966686 249067797 1000000000000000000 438052038 362837597 17840915 234833205 1000000000000000000 797449249 170661738 154987190 578215391 1000000000000000000 715904986 452282435 479113923 247621396 1000000000000000000 393960540 295625236 187034465 260893173 1000000000000000000 355697360 22789835 339904984 185201384 1000000000000000000 654253378 548089145 364851079 248522272 1000000000000000000 658648319 36610197 536895614 574472904 1000000000000000000 720154853 457417778 63988398 694382520 1000000000000000000 219861778 127138574 173367426 131328089 1000000000000000000 736648733 63260930 237258929 370206606 1000000000000000000 767091904 301108098 688590313 440049604 1000000000000000000 882166233 68105773 157462196 809898922 1000000000000000000 406372468 295984493 284976324 399622206 1000000000000000000 62288130 12109589 11918352 51730108 1000000000000000000 847843126 668631555 688175430 839405631 1000000000000000000 276028314 226552715 185430828 217755878 1000000000000000000 904522736 741141181 709652796 424971006 1000000000000000000 252691651 249001690 111783144 181823231 1000000000000000000 946839888 624616525 778821523 336390967 1000000000000000000 325904969 64447121 26078753 65360400 1000000000000000000 530598553 248843399 124623699 23525574 1000000000000000000 709914155 73089529 600637381 446993017 1000000000000000000 41836436 21093487 19339429 23047790 1000000000000000000 7672268 688978 4650510 3252652 1000000000000000000 24232604 15091804 16244286 18224690 1000000000000000000 280706397 52127725 267748864 94360016 1000000000000000000 871650554 515315242 658500741 188703703 1000000000000000000 942120753 739139112 804218566 399925221 1000000000000000000 354517001 51082164 16653633 239990603 1000000000000000000 231376225 27845779 78920811 33346407 1000000000000000000 912675180 141902898 754542670 733313319 1000000000000000000 304224685 88494566 130797039 41736167 1000000000000000000 238091684 41630854 111341461 232086590 1000000000000000000 149731673 43464412 126817656 5226996 1000000000000000000 677745929 296044988 623275662 413087233 1000000000000000000 635651159 553846468 321117939 275506705 1000000000000000000 894812346 329266102 312633415 531908065 1000000000000000000 931775288 866018757 351916310 117351387 1000000000000000000 560029045 332746535 461866651 27698517 1000000000000000000 864075465 243561488 120625452 622187070 1000000000000000000 565833045 194811561 491831380 131521692 1000000000000000000 440643309 386604072 3615554 8425384 1000000000000000000 69553061 59198967 4531603 44810261 1000000000000000000 641751092 252656054 369093450 601828517 1000000000000000000 714581977 329195935 194575023 374576125 1000000000000000000 776526931 633875352 613397887 748912844 1000000000000000000 782096651 682035107 12230174 767506427 1000000000000000000 884936600 259095402 413934104 656307736 1000000000000000000 22220159 12794748 10698724 19396505 1000000000000000000 546508605 207250193 196094384 129421963 1000000000000000000 518699140 189728599 373957275 52239002 1000000000000000000 613251013 574816205 138897017 216504543 1000000000000000000 439743078 13247272 191241477 93664599 1000000000000000000 630282322 335962098 499730442 68437092 1000000000000000000 990117527 644736367 887111836 211238670 1000000000000000000 251307152 46966074 150891643 205382496 1000000000000000000 326352549 48708105 319521304 303038038 1000000000000000000 957463670 598046252 97933759 535684766 1000000000000000000 212581120 153484305 10980732 111587129 1000000000000000000 504212647 300885698 443875001 354441407 1000000000000000000 673770392 313542557 44777541 387928258 1000000000000000000 944730984 183638715 620925094 691748831 1000000000000000000 43833054 27577872 30799547 21385331 1000000000000000000 36395834 28568741 26920837 30676071 1000000000000000000 377326716 90994419 127030497 118085748 1000000000000000000 261395031 188216951 86164870 202992239 1000000000000000000 242425089 15964213 194022045 142621997 1000000000000000000 379005023 72599515 307796001 151066599 1000000000000000000 464515175 329529024 279527750 432079074 1000000000000000000 793340050 587249500 361992130 99122899 1000000000000000000 454277356 182326367 100830107 237325176 1000000000000000000 65142155 1999232 820270 20009894 1000000000000000000 280276225 122002774 104458002 105897242 1000000000000000000 43064059 10880685 9065915 34940782 1000000000000000000 240003480 152880336 220574641 37550117 1000000000000000000 380796407 276058243 213882608 24109664 1000000000000000000 973563650 396402182 839128609 864837205 1000000000000000000 407847692 77459393 405001230 304558115 1000000000000000000 415992569 284374150 119406196 347564878 1000000000000000000 854764257 508163192 229340954 66891794 1000000000000000000 30461683 15341675 22111974 14914425 1000000000000000000 94919656 61447512 52200183 76429799 1000000000000000000 111990423 14283711 61792380 42712638 1000000000000000000 174203571 150401799 64413509 150481900 1000000000000000000 917041452 30895561 899743270 852114580 1000000000000000000 815574726 623013929 429800712 659709074 1000000000000000000 596245963 505897475 181267595 262516285 1000000000000000000 393860505 356951362 94509495 374050782 1000000000000000000 237655154 30340180 84268556 126928929 1000000000000000000 112040989 40727202 38166170 91844522 1000000000000000000 177529951 105024311 31493018 72377770 1000000000000000000 340734238 48803879 277952360 257378853 1000000000000000000 827347706 576853335 117118450 491493438 1000000000000000000 91886485 48421373 56129339 933418 1000000000000000000 21885241 3556408 14007971 5643971 1000000000000000000 692957050 461555528 343305848 595599674 1000000000000000000 951342743 732563186 907617312 443717192 1000000000000000000 825541309 502436112 518256279 251100248 1000000000000000000 710084412 250046107 362404975 133259977 1000000000000000000 476881052 193565915 191653348 27387771 1000000000000000000 487271087 288743880 371304924 402868135 1000000000000000000 294912731 188114393 73341396 219974057 1000000000000000000 885440782 109057976 438469787 414680979 1000000000000000000 279577866 136317046 18512967 35544716 1000000000000000000 949029106 805870883 700225611 914226089 1000000000000000000 714395819 349795861 510155014 346337557 1000000000000000000 935592078 541365797 920321386 581495460 1000000000000000000 561004169 308514259 517196445 344098968 1000000000000000000 395905592 64739586 174113210 386561223 1000000000000000000 734894651 300887720 498699660 356737145 1000000000000000000 139454654 117349290 84634808 73363399 1000000000000000000 700906322 52630462 159275292 236908590 1000000000000000000 177389134 90711012 175135462 153047437 1000000000000000000 325403060 321396918 107813455 282597601 1000000000000000000 184315282 99057317 169519447 143040996 1000000000000000000 370705020 80550296 59809176 4405760 1000000000000000000 293552213 264332667 139838431 158832658 1000000000000000000 310579777 80541409 19870337 300004270 1000000000000000000 198420490 22290081 64369567 187454676 1000000000000000000 855871136 353636318 24660831 597952180 1000000000000000000 719590658 155203285 361815237 206264773 1000000000000000000 364816307 91141277 67667026 341331106 1000000000000000000 79802972 39249079 41188712 7860543 1000000000000000000 59839971 33296946 51935693 17743980 1000000000000000000 772994670 619833674 611972674 144864824 1000000000000000000 427220966 396459581 354567251 144358762 1000000000000000000 502850634 479377425 476407358 371770939 1000000000000000000 305300998 84357107 259101334 53030485 1000000000000000000 123789058 72757164 25856729 101065695 1000000000000000000 597303823 227859348 353830238 196954796 1000000000000000000 35294144 20052019 7303740 10796607 1000000000000000000 918747368 556166782 518330624 582827482 1000000000000000000 639714991 573145787 103533767 300640698 1000000000000000000 510399513 4881086 342447676 167156139 1000000000000000000 722067033 483544352 381775596 347941821 1000000000000000000 399828822 80443982 179554817 18284815 1000000000000000000 146942131 21503960 125483548 19342177 1000000000000000000 317383785 255228876 164149111 272136793 1000000000000000000 545140748 421839446 2047026 182471303 1000000000000000000 784029756 45582504 105903104 145700350 1000000000000000000 844151050 528846924 395579936 525802331 1000000000000000000 26484476 24712597 514158 4867690 1000000000000000000 582973804 359483165 561193617 32013164 1000000000000000000 702703460 336661111 557196914 317319273 1000000000000000000 232912039 100406325 85602766 169324968 1000000000000000000 324091375 80140722 144844355 263450887 1000000000000000000 481276788 17860265 8468912 127444465 1000000000000000000 413028013 324098791 186297555 403832679 1000000000000000000 180518068 49523439 47676771 62576706 1000000000000000000 553583166 472690327 486469140 110764805 1000000000000000000 788816566 676976325 577548766 165361716 1000000000000000000 161332581 134910933 22750605 85950030 1000000000000000000 692360084 201451839 671858130 114747200 1000000000000000000 455378456 260356372 227557402 97068054 1000000000000000000 682049533 386204391 654830255 503494193 1000000000000000000 223080099 97391686 196607400 74023174 1000000000000000000 576363537 317820503 328211615 463101786 1000000000000000000 678511989 356587772 414061020 45194063 1000000000000000000 542051971 275140386 343314307 16012449 1000000000000000000 109093237 18008915 11100095 20967630 1000000000000000000 80933655 47501778 75498959 37611462 1000000000000000000 20732056 13826475 11135258 11301980 1000000000000000000 168099764 161285259 134736634 13703321 1000000000000000000 240746691 89197106 96381749 177912194 1000000000000000000 692108394 570010835 668818753 244502131 1000000000000000000 918139604 761351505 66780627 582033213 1000000000000000000 747138596 176564587 283750659 590959241 1000000000000000000 645303797 290293382 566289421 235188002 1000000000000000000 184108698 104770073 60165499 54117044 1000000000000000000 628100320 44577854 72371082 378271729 1000000000000000000 894177061 242784442 691170282 436142152 1000000000000000000 86449233 44011652 26450431 31775743 1000000000000000000 729077066 175546744 700655879 48873925 1000000000000000000 412176067 369272096 410196245 268929401 1000000000000000000 704885285 300612692 169382389 602665861 1000000000000000000 506753325 366459338 223908572 439773893 1000000000000000000 664329463 499727334 253603896 117263067 1000000000000000000 564377654 545447059 135739804 297047917 1000000000000000000 635543518 453946847 331133198 104627409 1000000000000000000 424546578 401394521 371985523 249853461 1000000000000000000 551761119 92641574 75934523 23883903 1000000000000000000 126845540 4591288 84158895 79691062 1000000000000000000 792519553 620679050 75441548 617008078 1000000000000000000 892248132 581839518 411144752 289557728 1000000000000000000 371080146 252635323 96134701 300727495 1000000000000000000 568495314 242846394 236539392 360445999 1000000000000000000 858395497 612706096 23417079 496012851 1000000000000000000 779039577 245075465 419646346 239976683 1000000000000000000 922799835 536293275 518792180 113841678 1000000000000000000 167871901 45519366 11442105 131052246 1000000000000000000 732787425 558852060 647945323 80965826 1000000000000000000 382027142 190188910 176295138 318466977 1000000000000000000 187958950 120354294 145187527 164820608 1000000000000000000 463235225 347432292 208179318 221916312 1000000000000000000 3694986 3572423 3692785 759806 1000000000000000000 861861244 344794805 826686728 614791533 1000000000000000000 800022 700055 576769 736340 1000000000000000000 678248417 450009204 586941858 37843971 1000000000000000000 621122493 183822667 286787523 168849638 1000000000000000000 788322954 445711118 744304434 367109101 1000000000000000000 498306452 39399816 13960298 495306934 1000000000000000000 935008948 588789099 538845770 342003654 1000000000000000000 498703956 59998484 312629382 59679280 1000000000000000000 373398241 84422430 162226379 213985377 1000000000000000000 230761285 23198656 16695256 209790350 1000000000000000000 355405048 58549249 118277242 235039298 1000000000000000000 856139830 406462330 204425178 333009864 1000000000000000000 675647542 655128134 187395314 345023657 1000000000000000000 134740007 15617194 57367073 113777474 1000000000000000000 588374653 478976863 353650598 328944056 1000000000000000000 591359066 529611435 263766649 518589583 1000000000000000000 671932317 579168581 133372270 182487475 1000000000000000000 34402802 9577646 16534034 27620990 1000000000000000000 932224339 375702364 319569305 35377222 1000000000000000000 440639866 58410816 198874382 32052231 1000000000000000000 554206610 414453311 516355206 112649835 1000000000000000000 948944465 182869566 251110123 316333025 1000000000000000000 164441341 23394228 125682562 113912021 1000000000000000000 479345135 315856422 89280375 453874992 1000000000000000000 122159788 115800043 82807802 10192629 1000000000000000000 961046655 71254826 580152120 593875669 1000000000000000000 15190533 5898546 3672246 9371075 1000000000000000000 302102577 262338852 297226779 166570313 1000000000000000000 666592730 600991525 452997396 518839988 1000000000000000000 602469867 128951275 468454807 410787215 1000000000000000000 571073322 336444742 511128333 17836600 1000000000000000000 395798514 242476473 377543552 354596258 1000000000000000000 296484844 286466537 255137748 239910076 1000000000000000000 840143356 533987394 513120982 352555175 1000000000000000000 437669608 273347867 6103241 5528510 1000000000000000000 623953224 290520080 282297774 107670326 1000000000000000000 463529243 152048664 132139896 97701579 1000000000000000000 45736549 28816929 7376780 39567256 1000000000000000000 66785208 17859804 45687622 22892823 1000000000000000000 569447106 487941713 484815732 30899315 1000000000000000000 707589926 293554764 452871011 621307319 1000000000000000000 962417049 443561180 23595611 645801045 1000000000000000000 792155355 155392877 442178112 636507074 1000000000000000000 420565239 294376945 123550338 10990863 1000000000000000000 830890673 222701682 611565458 725572967 1000000000000000000 160927513 30646335 140332210 44623426 1000000000000000000 716194892 377249932 296688910 216326913 1000000000000000000 806917381 592649602 393365749 433421863 1000000000000000000 178662501 146726471 62529829 139700614 1000000000000000000 475224984 268183811 385048008 5244515 1000000000000000000 679387053 235557141 656917620 507841152 1000000000000000000 28330034 15626427 26310631 14106105 1000000000000000000 378889047 273811705 225017560 306853039 1000000000000000000 835914505 784608273 486115834 54502163 1000000000000000000 738604641 99675558 676812438 601147622 1000000000000000000 726074552 418745127 346779785 280072058 1000000000000000000 775899757 287247242 94814951 708486079 1000000000000000000 399016622 54381843 243213998 120072602 1000000000000000000 741446551 664776321 521253115 387207403 1000000000000000000 194887643 79881572 174789567 152746637 1000000000000000000 998570837 796303877 128231968 11198283 1000000000000000000 678609863 526696595 124143400 103185049 1000000000000000000 794520607 48795879 720589434 356508227 1000000000000000000 299572994 148479485 209631631 182591580 1000000000000000000 863702956 238026297 469254480 495469940 1000000000000000000 29381490 6920353 16155458 25881832 1000000000000000000 483925432 292612662 424086542 18761893 1000000000000000000 106295777 32920998 83837697 19950594 1000000000000000000 272789766 228857378 140991552 47092171 1000000000000000000 537169234 111314 60536786 470285805 1000000000000000000 507414753 212201376 142888040 423524399 1000000000000000000 634492396 216227646 374940423 608354837 1000000000000000000 375788051 27193768 114162638 28605671 1000000000000000000 224163088 187526095 219755224 73973305 1000000000000000000 48564019 11557524 38323082 35433014 1000000000000000000 727589133 441594697 546610208 69486784 1000000000000000000 546931498 340015914 152725351 176461632 1000000000000000000 431901868 210905847 112530224 2868146 1000000000000000000 752685373 238670959 170281838 389611517 1000000000000000000 991463686 302145589 829902111 783966642 1000000000000000000 484627127 283667906 135427566 354405531 1000000000000000000 770997512 101490524 349405061 70492306 1000000000000000000 946334954 44246239 492308362 436156168 1000000000000000000 910537329 568890511 21470685 429213687 1000000000000000000 992151138 574142117 436517301 759805585 1000000000000000000 244406801 132557325 224138634 7862641 1000000000000000000 960158558 346771750 45215645 849335168 1000000000000000000 145006059 65452499 108786810 124218659 1000000000000000000 221361687 154554321 187628046 77113590 1000000000000000000 624839373 29348544 31667613 116221919 1000000000000000000 522477151 42351649 464886357 225959766 1000000000000000000 792286932 185943831 583417584 440326377 1000000000000000000 244900050 188290293 193650238 56855917 1000000000000000000 521747296 145090980 204383145 253939537 1000000000000000000 765228133 62303297 584837506 121024552 1000000000000000000 689229799 237315018 437996500 644951992 1000000000000000000 429275647 303971924 220378890 30484587 1000000000000000000 780598773 207458080 233715258 510420989 1000000000000000000 435070675 112147558 395985554 115977561 1000000000000000000 651790710 213019097 581049610 313209990 1000000000000000000 730621409 438270176 467338967 322096797 1000000000000000000 358093976 33488642 106853961 39076368 1000000000000000000 409570104 287258139 32603113 124901125 1000000000000000000 188042254 98284183 96716269 156642294 1000000000000000000 937431978 49637867 549782979 733738452 1000000000000000000 573631985 316246826 157747510 146302878 1000000000000000000 550201229 432545797 116344306 517552196 1000000000000000000 434483505 227325407 416442420 273435624 1000000000000000000 281509891 252776340 261619593 195700280 1000000000000000000 513931698 333828592 503610740 258352596 1000000000000000000 257119368 25978477 27843535 209756349 1000000000000000000 723684602 719992773 470367473 98804994 1000000000000000000 79767816 50151754 10381611 74929500 1000000000000000000 489413681 270034704 248251314 319205469 1000000000000000000 353322923 33098684 282282385 326883047 1000000000000000000 174333594 64588224 129355699 65319530 1000000000000000000 492171100 255653911 84093374 275535967 1000000000000000000 13671124 13556606 7170225 722895 1000000000000000000 556963572 10054917 214186518 40968953 1000000000000000000 380661716 229854241 269473846 31437415 1000000000000000000 851845976 276975615 449894250 524959392 1000000000000000000 724485671 381566776 441920298 323536408 1000000000000000000 705012160 545275138 175279687 39070372 1000000000000000000 542831051 380939543 241003892 417217470 1000000000000000000 218774794 19313098 48799526 140008192 1000000000000000000 891001438 664523987 453203225 472393126 1000000000000000000 840713366 397209197 110020699 340714294 1000000000000000000 345456948 55975587 207044972 226498425 1000000000000000000 405637578 82075940 294468411 148395918 1000000000000000000 592752114 61675296 290476587 116864334 1000000000000000000 530412595 109609048 29850632 497571270 1000000000000000000 518120424 123885420 123420181 321482702 1000000000000000000 600355761 54470422 423871443 342690834 1000000000000000000 238503931 177196568 51642880 85228411 1000000000000000000 272889843 266213551 144147734 267005531 1000000000000000000 475298213 408587983 156534994 137600344 1000000000000000000 549126844 3948388 469284045 180588872 1000000000000000000 923444171 19336113 210299738 771080925 1000000000000000000 466579299 50601530 106726895 465680214 1000000000000000000 628086056 31216982 455551825 52594499 1000000000000000000 957096696 192725758 285439678 312922722 1000000000000000000 850544368 748029173 816062556 308577758 1000000000000000000 724767635 242412367 515070107 182251435 1000000000000000000 399679129 223821081 196110956 167801520 1000000000000000000 560373515 238281629 266230947 503978477 1000000000000000000 363252858 8822567 249613002 54745422 1000000000000000000 351989381 24673663 331226858 75923858 1000000000000000000 237979221 15295643 24783004 235910869 1000000000000000000 642695622 258236631 478885466 279641651 1000000000000000000 140903358 129663370 89917496 65555207 1000000000000000000 955828900 719799853 688988848 586244584 1000000000000000000 225990343 53409387 141403654 8316461 1000000000000000000 940148345 157001674 470808970 262301073 1000000000000000000 813684951 213646462 89401419 742633175 1000000000000000000 562033744 32208268 461954883 406297017 1000000000000000000 589321750 25079878 134885791 219849195 1000000000000000000 213303572 62753667 2374635 84606383 1000000000000000000 917651935 220847567 196266412 437816388 1000000000000000000 813640254 514130834 692389353 186889598 1000000000000000000 417532842 340464011 134037017 76277051 1000000000000000000 226734511 161542375 162753974 7750907 1000000000000000000 845852931 380763345 24098459 775207709 1000000000000000000 474215212 42522558 401594470 240756941 1000000000000000000 195942890 62501196 189708669 135248376 1000000000000000000 106711185 94664771 45098631 28759629 1000000000000000000 975552761 411059323 897132102 376227707 1000000000000000000 109403711 26350963 27400453 77264511 1000000000000000000 670628100 421555978 349080713 102841454 1000000000000000000 446907431 220823324 29720099 328579561 1000000000000000000 70618778 23416066 39633798 1608123 1000000000000000000 675904426 421350548 310982181 497070145 1000000000000000000 944145666 733471520 263110522 103513907 1000000000000000000 453354341 22167099 228302577 380505716 1000000000000000000 955771937 656865206 59997623 85824740 1000000000000000000 682670392 204654773 158856628 464461598 1000000000000000000 579954965 397991715 149918482 396183120 1000000000000000000 828275834 191679297 725225957 714745855 1000000000000000000 856741594 75110568 781020280 19529567 1000000000000000000 828667643 266742587 401872717 674379425 1000000000000000000 861119900 347153253 812946908 139580302 1000000000000000000 35284950 29479755 16480918 28277531 1000000000000000000 33313179 16641875 13245199 467056 1000000000000000000 978415806 315014564 28626859 256626869 1000000000000000000 296399339 222294876 290083888 82249665 1000000000000000000 712460322 646258309 378952058 445386256 1000000000000000000 434613967 73368008 287997146 45936258 1000000000000000000 302973143 137483921 195794444 121237164 1000000000000000000 907503517 56000484 374471594 505588182 1000000000000000000 582948826 266167815 387224994 201824436 1000000000000000000 603548795 572465429 564342916 281358738 1000000000000000000 243736771 19957707 9507526 76208748 1000000000000000000 962933878 280076711 681285962 108206247 1000000000000000000 144580612 52670415 79229203 120465485 1000000000000000000 427852006 95815090 414959982 284423716 1000000000000000000 6307776 6244561 2896811 4388911 1000000000000000000 813007673 601970722 115237502 8177140 1000000000000000000 289581852 151549645 43543628 68880108 1000000000000000000 728521933 505761329 594941749 190713298 1000000000000000000 434403218 9043289 181234704 48006776 1000000000000000000 519529651 132729220 107164119 218363926 1000000000000000000 633646754 80088315 185206569 78612775 1000000000000000000 10867069 4483385 7105285 3942021 1000000000000000000 210390332 70589468 54039679 35855763 1000000000000000000 526124783 65392407 502171941 62687218 1000000000000000000 77725977 49124890 41738163 13595290 1000000000000000000 322626552 174792639 172522884 55645299 1000000000000000000 804735410 95535982 655675791 506644660 1000000000000000000 34873473 7210093 6253329 14367996 1000000000000000000 831129970 641147649 653029546 513939902 1000000000000000000 538668783 63226663 52818496 288711047 1000000000000000000 694320515 323660573 313271451 652161341 1000000000000000000 705198348 315131009 18532738 671689660 1000000000000000000 517002404 439365691 69353895 234158262 1000000000000000000 351828341 262674399 228471396 8747463 1000000000000000000 284005882 39236233 208688649 140847352 1000000000000000000 848183477 98044178 204739006 502531282 1000000000000000000 131549798 122741807 123216337 46103321 1000000000000000000 569273546 222065614 154031759 239943317 1000000000000000000 26563683 15380804 726533 25976845 1000000000000000000 618654994 135086393 116866565 263563934 1000000000000000000 337708912 187999658 84759534 2196609 1000000000000000000 719391042 196303025 135614627 147915069 1000000000000000000 457794914 351832562 215834141 253892764 1000000000000000000 546398430 492443203 86468887 544272260 1000000000000000000 415077030 281605461 392961339 303917662 1000000000000000000 693441874 686415892 279516298 515196007 1000000000000000000 843263046 419155640 194421686 199271842 1000000000000000000 983809603 698184418 554975025 88360212 1000000000000000000 179659574 115833125 78809010 121272452 1000000000000000000 940672865 203648566 626311102 419573148 1000000000000000000 841932144 5724409 126883783 69652777 1000000000000000000 245403884 150251424 171550646 121970035 1000000000000000000 865679308 564860998 650968084 298196149 1000000000000000000 600725519 248652148 221756881 409646569 1000000000000000000 316781995 244824726 302724083 140271067 1000000000000000000 652084266 271837291 90734466 37305567 1000000000000000000 956174744 574434920 215772992 783082978 1000000000000000000 297805602 245756403 251729464 950472 1000000000000000000 880737152 361488078 423683153 221907878 1000000000000000000 541206989 534858935 221123989 473362776 1000000000000000000 130477835 68319385 79221858 115628742 1000000000000000000 594172398 361500433 401848439 290654051 1000000000000000000 82033615 79122549 66436206 63273573 1000000000000000000 104960121 8572994 31724395 6765398 1000000000000000000 444184068 369754160 319545943 37630266 1000000000000000000 915322714 175610219 878376713 124482149 1000000000000000000 903159272 735434599 389702621 704749401 1000000000000000000 292013662 123616738 96993891 53339994 1000000000000000000 22055866 560498 14683480 19338431 1000000000000000000 782407541 426353761 268056573 780074887 1000000000000000000 900709982 527646139 259782512 693796396 1000000000000000000 534078602 174740946 232158435 455908637 1000000000000000000 590133734 532856851 178943863 318615775 1000000000000000000 136644264 127281016 11092273 52616874 1000000000000000000 549670711 398568573 46209543 269505135 1000000000000000000 871059062 247769453 353152445 284841946 1000000000000000000 858423628 695933363 45968703 633993768 1000000000000000000 288434985 180542198 236273901 261965687 1000000000000000000 557349816 236383307 522900033 403097176 1000000000000000000 628017561 291673672 175755510 527731573 1000000000000000000 269022941 29309271 139261450 89649948 1000000000000000000 868657790 533249034 180039372 729347509 1000000000000000000 411671921 146869882 96672447 46030462 1000000000000000000 725176944 696005013 474385956 87369694 1000000000000000000 93867336 81325151 82319865 72273966 1000000000000000000 448407096 214891221 180148201 251253721 1000000000000000000 659798344 421764904 179356891 234700310 1000000000000000000 932176706 751196566 673831776 911939248 1000000000000000000 960985305 401502590 70353061 553744515 1000000000000000000 460756259 47731244 176750318 372526354 1000000000000000000 569974450 465112949 272851022 166618146 1000000000000000000 772990103 191356047 734009075 33732006 1000000000000000000 790897314 168742266 321892246 137895649 1000000000000000000 939837597 651880111 724946334 14838066 1000000000000000000 246996036 53946908 131992883 65908367 1000000000000000000 394421783 241700225 154026535 309614035 1000000000000000000 235423148 31655832 187256015 230331022 1000000000000000000 952683958 883846763 217201800 214423911 1000000000000000000 432662644 377391170 22367082 344004340 1000000000000000000 896267609 648349150 304611994 175791778 1000000000000000000 511555090 225835628 292957327 232744543 1000000000000000000 590370623 232564409 435827603 559589773 1000000000000000000 103666227 26443522 18463827 94249856 1000000000000000000 458562572 82107700 283594956 275721332 1000000000000000000 735193952 363542448 717045557 670307366 1000000000000000000 536820673 367100933 160468713 403615957 1000000000000000000 265186113 61437154 720411 74611108 1000000000000000000 229705535 25534632 82193286 224076992 1000000000000000000 275133760 85908466 181871803 103003299 1000000000000000000 620352839 366207075 195298429 451469863 1000000000000000000 992547685 804291690 922298094 985667441 1000000000000000000 50324341 7967137 13042088 39624628 1000000000000000000 44795553 23108436 25436759 39906281 1000000000000000000 367402321 278225843 214002179 335572268 1000000000000000000 458351954 226419379 269219191 273568908 1000000000000000000 309430897 44631036 261553747 227121018 1000000000000000000 612469158 335138925 553815058 601882122 1000000000000000000 378441012 212532737 153152624 207484167 1000000000000000000 722000922 412607224 676685395 688891600 1000000000000000000 876709545 678100345 664070319 540417707 1000000000000000000 603093108 27133454 72252519 222490548 1000000000000000000 990841249 819433953 220558053 677217938 1000000000000000000 606415215 262768003 334192319 24592186 1000000000000000000 176224812 80334859 84430180 66156718 1000000000000000000 532050617 398264159 310260726 25888135 1000000000000000000 633762125 366325100 188363061 70545023 1000000000000000000 191683179 117155441 91540131 44425339 1000000000000000000 893494157 549830198 576958151 533879348 1000000000000000000 625339657 144319 440058164 606034651 1000000000000000000 790222106 126302459 299134275 768658702 1000000000000000000 545613919 119349366 532429784 400423510 1000000000000000000 276945125 256004577 225682189 274001615 1000000000000000000 294527938 236815559 116413068 209924684 1000000000000000000 972915029 402464132 439401241 881840136 1000000000000000000 744186294 353743191 603707538 355715969 1000000000000000000 849968670 456468195 454090723 208641961 1000000000000000000 938494236 516648005 719957142 701830543 1000000000000000000 94640327 79388516 53146036 87593500 1000000000000000000 93653604 66286836 38873358 13167548 1000000000000000000 150995782 129669417 96179859 56645489 1000000000000000000 385510529 34300894 86995826 224523113 1000000000000000000 171017411 34812645 53845097 146167111 1000000000000000000 475417130 115525541 442560091 38214866 1000000000000000000 589202979 565114545 490207946 535032776 1000000000000000000 431914291 150896463 295113470 212555623 1000000000000000000 749731845 325191365 514499649 389725873 1000000000000000000 487372004 145206537 480712982 23565821 1000000000000000000 887174833 834067504 802427187 433258475 1000000000000000000 712777528 585213844 577519175 26774730 1000000000000000000 353524875 147226315 236089411 241635381 1000000000000000000 7236576 4006108 5638508 3184665 1000000000000000000 406229809 65688330 133186232 362467673 1000000000000000000 333001074 260196707 44650762 40769621 1000000000000000000 415271177 352536711 90242066 320522592 1000000000000000000 617125224 422281461 63010323 284544968 1000000000000000000 268095190 5793485 174355931 202413290 1000000000000000000 668160533 326105173 215636864 585453249 1000000000000000000 452114154 163070727 379927449 246226985 1000000000000000000 966773432 649376334 629162801 780327472 1000000000000000000 179376131 77311825 43816671 51272517 1000000000000000000 207368040 10826584 97650292 126698306 1000000000000000000 519752021 389672798 508815598 510248116 1000000000000000000 227567847 102688994 162327758 36605012 1000000000000000000 9474173 8122067 8140450 9180525 1000000000000000000 446540200 115064762 357571115 347536232 1000000000000000000 842077684 164069935 217270079 307017169 1000000000000000000 982571241 565013873 678419037 41787807 1000000000000000000 77249255 40081244 70002491 64928503 1000000000000000000 763158106 598523094 707261567 556187482 1000000000000000000 734346171 576425444 120484576 220278290 1000000000000000000 315023187 1645963 117755675 235113621 1000000000000000000 536425489 69323250 174524604 371940866 1000000000000000000 46466239 19981024 169713 4710279 1000000000000000000 68861624 13446211 65589822 14946320 1000000000000000000 723574899 423915582 272388320 104366093 1000000000000000000 714380739 292307101 223061876 265781053 1000000000000000000 820950185 436719286 267234128 437797991 1000000000000000000 46090597 11206731 29229158 16165992 1000000000000000000 340901152 322525622 151421166 111737782 1000000000000000000 760550030 409148258 486915227 295646134 1000000000000000000 637039995 264841237 567428188 560979763 1000000000000000000 359426592 323816506 358470719 169926455 1000000000000000000 196933165 10708646 166393196 163308678 1000000000000000000 870850236 164857043 555618711 344957980 1000000000000000000 636551559 533957405 226695890 273942906 1000000000000000000 769647595 574319296 631171286 40369741 1000000000000000000 104644002 80916118 91564382 9084340 1000000000000000000 398276458 105557069 63516361 192381742 1000000000000000000 897140366 787137585 844496648 629427825 1000000000000000000 878935547 497436191 80865067 598970777 1000000000000000000 292083640 255741343 103642036 260348101 1000000000000000000 695815383 536470612 499222975 315242683 1000000000000000000 287658194 78712458 25547774 263581556 1000000000000000000 486806645 96363147 39669911 135107731 1000000000000000000 692438775 336353907 78421662 661013041 1000000000000000000 661413766 469918700 50909095 506283747 1000000000000000000 453765862 431103328 243275167 167428990 1000000000000000000 338849514 34249651 320459464 244103815 1000000000000000000 163391513 107588855 16222710 31379203 1000000000000000000 769988934 45663002 53008602 509208678 1000000000000000000 386647385 79071928 212017074 43593334 1000000000000000000 504521208 306921179 275304488 420809491 1000000000000000000 91406990 70856706 5412892 37495359 1000000000000000000 601506366 273749518 39480904 101404497 1000000000000000000 878407235 398782508 546540675 539387244 1000000000000000000 909060154 428269808 368390505 80009705 1000000000000000000 112840458 4846539 109351381 70240361 1000000000000000000 515052362 10031896 280892653 371569902 1000000000000000000 220156749 180876348 208824624 85102051 1000000000000000000 902820301 829727309 623217208 122272183 1000000000000000000 811385896 259445224 706549973 521749275 1000000000000000000 162566069 25338844 4592246 146291039 1000000000000000000 136325285 1225765 56726792 52376531 1000000000000000000 459558724 332181122 159306847 367968737 1000000000000000000 325721398 34755485 179999376 211283159 1000000000000000000 50249281 30358644 29999016 5433699 1000000000000000000 132400347 73585301 127478705 70256523 1000000000000000000 685240247 424019793 270438462 316547940 1000000000000000000 898247832 631944806 127595744 355892792 1000000000000000000 204445361 181944522 182761747 18836589 1000000000000000000 433316149 64075846 37200957 62012841 1000000000000000000 858321548 523606357 698454710 75319707 1000000000000000000 50731730 37746696 22996869 20465752 1000000000000000000 360667106 269160630 29870329 141238789 1000000000000000000 54747941 8489045 16012308 3518381 1000000000000000000 93143689 91908693 31454718 92456859 1000000000000000000 941434383 819761987 508625693 130530299 1000000000000000000 447159663 214103673 666594 254968705 1000000000000000000 400283681 132064914 96888146 242121339 1000000000000000000 614653990 353809634 70126088 257046339 1000000000000000000 954158534 823761799 550113412 241534240 1000000000000000000 312567202 131519964 134846575 43215853 1000000000000000000 346992500 50214017 293542522 183779930 1000000000000000000 964580399 469421824 160771585 695987237 1000000000000000000 471326631 149577838 243697067 94069473 1000000000000000000 290078916 258409840 213499043 84072881 1000000000000000000 794644772 639558909 332737498 153263312 1000000000000000000 439236006 336994471 92073871 437053584 1000000000000000000 193270092 181925870 1025630 22494825 1000000000000000000 524258230 221665048 78001025 163494230 1000000000000000000 706732994 589706854 355031120 644239083 1000000000000000000 779653503 314714580 137085610 392082131 1000000000000000000 383533093 79272624 353015214 337482793 1000000000000000000 624266619 408072323 191241626 3186602 1000000000000000000 654639865 653480338 498063471 420065909 1000000000000000000 505960566 462956538 137561456 159623049 1000000000000000000 130976498 30077127 20946788 39146618 1000000000000000000 761229824 652582142 587466484 10499114 1000000000000000000 613214247 263080942 286593181 159090170 1000000000000000000 910970557 245742897 871989661 418312849 1000000000000000000 661489138 249431321 261925737 219978998 1000000000000000000 506311453 324925191 463753097 460446868 1000000000000000000 325967435 54090155 272731718 223520138 1000000000000000000 185160044 160192862 12651730 83797954 1000000000000000000 679875983 40173732 537372567 551688851 1000000000000000000 680992098 568281783 358387288 421099938 1000000000000000000 362743571 338485716 255299990 146512862 1000000000000000000 215305754 199076022 62213 53037136 1000000000000000000 637760840 326823311 547972674 57433176 1000000000000000000 24501677 10188888 20505591 8774646 1000000000000000000 720256867 494819720 87753170 706559203 1000000000000000000 381786130 348828318 61127191 217955099 1000000000000000000 73930905 16814202 39412949 14464363 1000000000000000000 861782548 243590223 607566814 654620128 1000000000000000000 146103844 136622338 75924851 78615878 1000000000000000000 700804780 200933029 568330148 671627528 1000000000000000000 740956890 377238327 5259777 554907007 1000000000000000000 955771633 690713344 146570686 235730102 1000000000000000000 471984146 103713302 391926922 104656304 1000000000000000000 385540677 91578278 95934859 224772961 1000000000000000000 509287715 180585433 215837598 33518669 1000000000000000000 328145097 157951502 51966944 89936722 1000000000000000000 311725328 252177254 299774715 248651563 1000000000000000000 420302696 387240261 372581596 51804010 1000000000000000000 492327013 196645206 271124823 183054923 1000000000000000000 486516180 169287235 418950186 95289050 1000000000000000000 70910889 65650206 31646232 13297393 1000000000000000000 451889566 346951080 444443804 230993083 1000000000000000000 846195493 331515789 330959346 534771543 1000000000000000000 466979910 158337427 17540091 109939871 1000000000000000000 201966811 1839577 159760674 199763023 1000000000000000000 12494952 1471021 8093604 10196671 1000000000000000000 191411146 106519131 123689686 98180024 1000000000000000000 767076846 646331165 616926420 14680161 1000000000000000000 472704052 29108392 355988547 77237679 1000000000000000000 971473340 393612008 63574967 486693873 1000000000000000000 383287123 352334795 344011547 112412729 1000000000000000000 559810819 198861308 512488089 89771045 1000000000000000000 893564933 486344061 451257500 828179691 1000000000000000000 352421315 177609979 323864803 146584952 1000000000000000000 286492009 230277166 170267603 26518410 1000000000000000000 813164467 798755338 396478831 1154763 1000000000000000000 252507452 48620584 78629206 95280205 1000000000000000000 542842694 94724166 309422567 467533329 1000000000000000000 94119068 72572271 49217137 41317597 1000000000000000000 309902219 259166110 25192688 110929502 1000000000000000000 412016851 176615268 359026351 127896236 1000000000000000000 773357102 506903766 700637618 371058409 1000000000000000000 31684428 25826738 21301679 14570669 1000000000000000000 561196345 47090704 371313256 402742514 1000000000000000000 723839852 86095556 369161898 530688047 1000000000000000000 392130427 376053221 87526833 30335761 1000000000000000000 503912895 391449532 268898235 140522765 1000000000000000000 173524804 29767903 47859598 48690184 1000000000000000000 822534239 587891291 463514092 663298103 1000000000000000000 184377870 85043959 184039435 6894354 1000000000000000000 854946888 692795572 409141868 620180770 1000000000000000000 841178360 372346812 594362416 583863049 1000000000000000000 362821287 143714561 227737466 161150943 1000000000000000000 660165371 291245508 446283221 376930924 1000000000000000000 600865876 408395275 506016786 236177663 1000000000000000000 921581700 461746477 250016289 665284561 1000000000000000000 703182004 387373297 342109431 531420121 1000000000000000000 252859394 26010315 245151190 200857774 1000000000000000000 703318445 555995833 70027048 556897856 1000000000000000000 83239475 32013776 11729961 13016856 1000000000000000000 822908796 632491169 622090153 581467572 1000000000000000000 203649889 96578796 100074588 76567924 1000000000000000000 864201865 165358934 830021801 29827883 1000000000000000000 24709574 24321986 16079122 16136662 1000000000000000000 445963361 14206727 28864752 4234050 1000000000000000000 985943121 909824597 753950136 339306285 1000000000000000000 464765640 353057322 22484226 282143434 1000000000000000000 777988093 231850480 286753823 132111736 1000000000000000000 121170819 94158614 64600828 9926927 1000000000000000000 910833655 781587794 862047582 653608826 1000000000000000000 24172549 16511083 18522151 18083373 1000000000000000000 377888830 289186400 65689191 78168159 1000000000000000000 55187715 47496639 1385717 8215136 1000000000000000000 48199377 42822975 32944139 18226180 1000000000000000000 398255637 332816946 105490210 97614343 1000000000000000000 170408817 135908095 147977834 24411884 1000000000000000000 205268282 52184906 129571338 139432444 1000000000000000000 357331189 237420443 355606646 214418833 1000000000000000000 42222336 16202826 41955690 16848797 1000000000000000000 848528816 471485690 689547906 597937833 1000000000000000000 956834118 512781006 647722392 137948494 1000000000000000000 51633876 25884537 18570770 40346297 1000000000000000000 898456425 533159453 793395993 457108022 1000000000000000000 451266005 188259085 18317821 187575074 1000000000000000000 242189342 29639226 213853472 78883976 1000000000000000000 655349517 632726253 615458571 265337970 1000000000000000000 684432037 236068820 124100823 640827183 1000000000000000000 603650375 468815175 547813831 352852944 1000000000000000000 251690530 184319042 95709422 24049734 1000000000000000000 464024536 451958126 304731700 71407660 1000000000000000000 823349614 190051892 276501057 369053170 1000000000000000000 231740073 148619239 112782948 138020962 1000000000000000000 408738300 182649023 389205391 78762261 1000000000000000000 792771272 489935394 402819728 146872359 1000000000000000000 789962679 289884269 130230555 422912923 1000000000000000000 885726230 503911341 743765352 292917548 1000000000000000000 273388586 93103707 241574164 187131057 1000000000000000000 339255260 242954187 111549144 332790506 1000000000000000000 831980116 661732941 224456403 790600933 1000000000000000000 507075871 61854583 335424904 53154369 1000000000000000000 841664417 640624233 501127598 687180103 1000000000000000000 803364157 455657116 21133489 692223062 1000000000000000000 888137798 693973211 78112947 575133744 1000000000000000000 166682717 102250356 122059060 38606514 1000000000000000000 576837431 69925250 370224979 191933765 1000000000000000000 68618028 53640759 61831156 43546072 1000000000000000000 391087130 157880306 93230949 185010807 1000000000000000000 432874651 236342291 205588435 16235213 1000000000000000000 412967726 123254243 360633628 941472 1000000000000000000 526865182 464041064 3644025 402111126 1000000000000000000 145905453 70674623 114580796 32452660 1000000000000000000 880101542 674398434 731361420 126264879 1000000000000000000 819785648 393357177 781552790 246499140 1000000000000000000 27788462 23003234 25074227 507230 1000000000000000000 277539933 46546125 111896586 199348960 1000000000000000000 28284386 21323830 11967794 27642128 1000000000000000000 68326104 57599436 28634101 14086217 1000000000000000000 924550100 125144271 803966432 436122867 1000000000000000000 563919381 262383556 69863743 503578707 1000000000000000000 323892841 274917114 153687379 317821474 1000000000000000000 271432224 187373331 45338022 132721603 1000000000000000000 663553823 154222580 612250804 589459381 1000000000000000000 656428335 200832530 310233790 280317505 1000000000000000000 507717099 434983941 90473417 222328022 1000000000000000000 235974309 69991463 115304267 22456925 1000000000000000000 598185705 114479713 3095636 386588907 1000000000000000000 28163367 15199751 7110981 17339313 1000000000000000000 860645061 37080627 457001193 539295545 1000000000000000000 294858817 289992975 2531961 13334175 1000000000000000000 756737680 714956311 645626139 638720276 1000000000000000000 570860719 378602834 489100155 3840265 1000000000000000000 465564059 60581656 99182751 455650067 1000000000000000000 624784451 605498827 221976160 335841444 1000000000000000000 645945869 8650019 474834164 108332458 1000000000000000000 111150107 29105447 90378721 34076828 1000000000000000000 260625287 200890272 241757755 93379628 1000000000000000000 916903459 446730235 254937889 829992991 1000000000000000000 99601510 37926934 9626762 23152860 1000000000000000000 520905500 130170239 447367783 108353257 1000000000000000000 943207686 626738806 546355151 101075073 1000000000000000000 726475982 285050721 175386549 40667861 1000000000000000000 593870249 175360929 250100020 61986862 1000000000000000000 831019285 162556894 446262390 23355870 1000000000000000000 963391859 652655596 388103248 784759020 1000000000000000000 466149542 199851639 291931318 102674874 1000000000000000000 148769633 14990161 35365712 100353028 1000000000000000000 573585638 549991288 52352559 258611165 1000000000000000000 191033589 30840074 56877288 184647010 1000000000000000000 459841472 230361569 412391845 115730253 1000000000000000000 563632747 121707641 527343806 293691358 1000000000000000000 330949967 233147895 166290681 169521736 1000000000000000000 732647118 552161412 188181996 77269178 1000000000000000000 204062242 22067488 116840423 115159424 1000000000000000000 258056184 101272304 61090916 61371617 1000000000000000000 85478053 7191841 48489863 85031104 1000000000000000000 591784512 549354989 495774369 23426752 1000000000000000000 80580989 21860762 12736011 8848018 1000000000000000000 763672943 501520670 123994869 248429719 1000000000000000000 668520539 610539524 156593385 114187171 1000000000000000000 551423248 97824336 406569803 318412019 1000000000000000000 528599624 270535713 342658391 242634312 1000000000000000000 324701672 66351255 127146370 293288537 1000000000000000000 664802811 53770213 136845555 162982574 1000000000000000000 585556466 115000963 566131009 371604576 1000000000000000000 638970296 535155271 450027681 262619979 1000000000000000000 778751036 217916593 594309447 113127705 1000000000000000000 339564397 193606217 210833120 155370419 1000000000000000000 71051309 60809073 23760903 34890314 1000000000000000000 985152599 786753333 753768827 500561362 1000000000000000000 927166979 266965797 116113975 116895892 1000000000000000000 655435964 121957399 171668462 283262525 1000000000000000000 410842455 116583084 322211463 322742205 1000000000000000000 952659982 27803729 740211301 755623586 1000000000000000000 644325498 305591767 260685478 547786184 1000000000000000000 439906043 344899440 307974114 252290801 1000000000000000000 555935080 12617641 535749965 9319917 1000000000000000000 844010171 524204972 747377202 4215139 1000000000000000000 439518048 33916390 259357977 31532007 1000000000000000000 806472438 631218887 26942015 563867376 1000000000000000000 561380483 468565607 533898426 319704976 1000000000000000000 392118179 139901020 11131342 154672609 1000000000000000000 299092096 131070540 222819179 251361654 1000000000000000000 688365762 274499087 610873317 244216726 1000000000000000000 11538289 5526839 5826639 268843 1000000000000000000 743394628 102197393 585931736 85097392 1000000000000000000 982662297 523819728 615005259 817621054 1000000000000000000 261337245 254083434 20092124 42959227 1000000000000000000 170967247 55887361 57688453 154057496 1000000000000000000 866067443 279827389 842540688 512044735 1000000000000000000 201410169 194106993 140769081 128915493 1000000000000000000 157297845 73993037 1728902 38671128 1000000000000000000 172797075 39959595 20859051 13457014 1000000000000000000 645028302 244275219 38430403 285830216 1000000000000000000 305028751 180937180 20074542 253353273 1000000000000000000 118938652 99922196 30462608 16379362 1000000000000000000 12354753 8011603 4852485 2366899 1000000000000000000 886711674 833423402 65109256 431678039 1000000000000000000 554086457 540753500 238580985 208730042 1000000000000000000 451151965 133631850 284809331 14024926 1000000000000000000 685942579 676403135 148920350 638364093 1000000000000000000 672855724 509051849 631129040 348276595 1000000000000000000 221278711 178449800 98191604 134429631 1000000000000000000 429467766 167648290 338017923 59048853 1000000000000000000 117246574 26209616 78053604 55057981 1000000000000000000 154341320 6437530 61786313 121110840 1000000000000000000 894786877 558861362 241487284 516808840 1000000000000000000 931504 201182 633094 46527 1000000000000000000 301095103 50136251 153922872 79227378 1000000000000000000 501510283 68605133 182543266 131803937 1000000000000000000 425773763 113508565 151465930 89207545 1000000000000000000 790060937 492862854 623499269 50773149 1000000000000000000 221471112 57903817 131308111 103415014 1000000000000000000 492279089 67129360 75821228 322247424 1000000000000000000 249360875 234894120 21359470 33179639 1000000000000000000 746785946 193752603 559435169 462370465 1000000000000000000 982627215 521905069 417081199 708851236 1000000000000000000 655533108 591620013 322232476 517214447 1000000000000000000 564859682 452361367 95727878 119573812 1000000000000000000 522909555 393968767 105051392 223717486 1000000000000000000 419487089 364951540 62158945 301287407 1000000000000000000 563468381 366468040 382607273 342874845 1000000000000000000 633169602 298690761 65068130 28302825 1000000000000000000 965388426 330999749 165071776 352256772 1000000000000000000 745527881 676144323 503578635 487668815 1000000000000000000 427146259 325220479 173265263 200301541 1000000000000000000 430137962 212171034 82587824 63748194 1000000000000000000 47414632 13021075 3847810 29146989 1000000000000000000 551474081 355126231 140698412 18956883 1000000000000000000 291191236 122641976 160629955 240651515 1000000000000000000 412839327 120087519 352523074 34201407 1000000000000000000 212986199 158977347 114885075 46573070 1000000000000000000 43847749 35381892 4457884 40857516 1000000000000000000 274751941 152205141 259875739 260271207 1000000000000000000 655193553 276112471 37772053 54007005 1000000000000000000 28034729 16934315 1851046 24553190 1000000000000000000 736051536 644179464 483487825 390903842 1000000000000000000 157835631 56343214 128797676 150658666 1000000000000000000 972275713 151420353 36452128 630075065 1000000000000000000 98942816 22801669 34810327 84789522 1000000000000000000 678522750 590002450 519097005 428000634 1000000000000000000 548198733 285658958 70429015 539849018 1000000000000000000 700437338 290496065 214914755 125042970 1000000000000000000 596833205 84941216 117032259 386566526 1000000000000000000 100222591 92776269 38005564 25012046 1000000000000000000 605548307 427487072 92280085 83077449 1000000000000000000 145876706 3049734 52584588 18535532 1000000000000000000 739836347 3322803 405212007 112717048 1000000000000000000 999261823 32631857 617538076 487601013 1000000000000000000 273033725 234510250 265119635 17400362 1000000000000000000 453098887 83237629 226230849 396206809 1000000000000000000 301391822 125462626 183364996 270737379 1000000000000000000 338107594 274295883 233290465 286169937 1000000000000000000 996396147 591999918 152495311 279366274 1000000000000000000 871909049 24177215 752461869 157380302 1000000000000000000 334545230 163070160 138398297 129739967 1000000000000000000 469517218 427426951 408025208 185402969 1000000000000000000 743785519 341159014 248026993 578707005 1000000000000000000 336624771 270704030 161443148 302769992 1000000000000000000 176048637 24991579 6420156 773291 1000000000000000000 553545015 40199510 331048888 289010428 1000000000000000000 724740075 368834865 421605328 502578418 1000000000000000000 319818147 300810218 317307836 25545995 1000000000000000000 461311775 105936988 134141395 27972477 1000000000000000000 777586611 729525817 192954648 449390523 1000000000000000000 500723322 105116799 326543556 456072841 1000000000000000000 792064852 761183971 516619604 502393140 1000000000000000000 836873592 711744356 674198002 463189929 1000000000000000000 313726592 160972164 221216970 224491064 1000000000000000000 179837442 42577098 98457291 130941566 1000000000000000000 326046127 146652181 147657055 19280344 1000000000000000000 811564746 565818458 18593592 227495763 1000000000000000000 123501236 45316173 66802341 119496494 1000000000000000000 476863307 107760480 256561732 156414222 1000000000000000000 79865549 69074194 72303613 8872121 1000000000000000000 683187622 123246294 571502984 21410118 1000000000000000000 485109863 293695798 260570684 380959943 1000000000000000000 933922770 521412978 543716693 787052296 1000000000000000000 719574013 92180388 279955857 313311688 1000000000000000000 465215716 10298646 11263681 134226696 1000000000000000000 627536304 200724538 411940443 353395365 1000000000000000000 120087666 84015015 14714626 71172415 1000000000000000000 14286811 970251 9206229 252061 1000000000000000000 252996293 59466592 119854141 138244278 1000000000000000000 787904326 767610327 528323034 127145794 1000000000000000000 643547409 341624833 99900722 544482105 1000000000000000000 102295101 59602996 59886980 84267916 1000000000000000000 374854982 340205413 230716029 185052827 1000000000000000000 645658991 550446501 492266223 277787376 1000000000000000000 346166024 22046330 138544504 169952240 1000000000000000000 108048680 3805326 769837 1885527 1000000000000000000 929607288 47630798 686260369 272697096 1000000000000000000 836165661 383303795 381615937 136876978 1000000000000000000 427397860 70291309 389719845 286852860 1000000000000000000 52770641 4921163 44420564 36561071 1000000000000000000 157821036 103758486 93232101 50898666 1000000000000000000 942856299 433155107 471967843 365486307 1000000000000000000 831285952 149080988 97452324 575252990 1000000000000000000 137814794 44198486 38300480 104600332 1000000000000000000 616343843 122742139 187521691 586893010 1000000000000000000 288904866 85243142 213053423 239542156 1000000000000000000 181209194 40036219 148866999 73082490 1000000000000000000 456079211 261507033 440312372 128276061 1000000000000000000 404035637 330087876 46141360 397246929 1000000000000000000 829452840 770828051 443922628 664096710 1000000000000000000 415598390 269169869 129341122 177016441 1000000000000000000 803066709 120067821 397201765 656371247 1000000000000000000 432226488 114168943 26081585 13965051 1000000000000000000 22165692 9438272 5868566 4039898 1000000000000000000 921074149 671717333 836044436 713599558 1000000000000000000 978227212 638659965 659794329 603285094 1000000000000000000 839382090 276058108 408622615 790789776 1000000000000000000 687488725 482712352 220432051 366243639 1000000000000000000 287338433 38652478 177576625 92091449 1000000000000000000 312719891 29682441 167066911 146479122 1000000000000000000 481719452 275364536 282536379 45636879 1000000000000000000 480068112 17501351 43576733 366342554 1000000000000000000 343735853 39671511 119540603 257629162 1000000000000000000 111966676 76325615 107234339 99619252 1000000000000000000 238658022 153881723 192552502 209101836 1000000000000000000 31330502 12657018 2521442 19368286 1000000000000000000 982993731 763291673 734788244 197793326 1000000000000000000 593474016 247117025 435791712 127549872 1000000000000000000 8363792 7335109 7634078 5126715 1000000000000000000 762049531 407712889 36995352 244939192 1000000000000000000 501075460 79358600 229209060 396257950 1000000000000000000 267154860 70791549 184637482 118600517 1000000000000000000 632592274 324289684 43411124 154389415 1000000000000000000 303001842 161205212 92701331 211325440 1000000000000000000 421817950 418641431 294221975 394069531 1000000000000000000 203360155 115881201 191587759 172269922 1000000000000000000 479556226 116094517 269968037 126942674 1000000000000000000 340335023 98380584 130422123 210540499 1000000000000000000 435044363 26118113 234609655 270157093 1000000000000000000 610688360 580287953 527979223 42088265 1000000000000000000 274633048 107292065 75975619 139656418 1000000000000000000 433645488 14995262 214904240 84906170 1000000000000000000 428721652 423419904 191264358 14679837 1000000000000000000 982963690 438175691 546599157 845844565 1000000000000000000 587394917 384464747 468179235 411329300 1000000000000000000 167243674 58451085 124811972 102249233 1000000000000000000 500169162 401749605 388865101 235712627 1000000000000000000 265272428 231496965 45912017 10531676 1000000000000000000 370687286 150847862 143040491 214511154 1000000000000000000 248853667 183199306 206462874 172661996 1000000000000000000 900768970 297485659 856041615 577890369 1000000000000000000 663068457 120117346 246712719 389031321 1000000000000000000 924131907 322378091 11848756 45823887 1000000000000000000 450741547 222925275 313170395 191200269 1000000000000000000 770728687 634367869 519100763 423890220 1000000000000000000 728353930 316787902 9005040 637165643 1000000000000000000 573513318 140489706 186400249 325168183 1000000000000000000 580673376 50169727 420606417 362240460 1000000000000000000 760199024 264229286 355807445 41497979 1000000000000000000 661239631 72450647 241842942 552747996 1000000000000000000 714066106 608469811 451298458 451859834 1000000000000000000 22206087 22015323 1560232 1535338 1000000000000000000 875784714 622141951 485522819 680187063 1000000000000000000 685137776 43456523 120459128 318071829 1000000000000000000 866314949 207025465 84880418 656908973 1000000000000000000 85443214 23190732 58935026 76858378 1000000000000000000 215955561 75116979 213261277 66715465 1000000000000000000 465960047 141930904 124170110 28744129 1000000000000000000 76489315 60825109 34763021 23894593 1000000000000000000 630454214 112924692 22856912 83542789 1000000000000000000 97275933 24875254 32078302 12319540 1000000000000000000 481355231 236895225 6690893 36038659 1000000000000000000 327788910 235680742 68937694 104730130 1000000000000000000 36518873 35703173 35901918 23070932 1000000000000000000 690693864 481565090 582699393 449080163 1000000000000000000 287853120 22786165 175682002 108936808 1000000000000000000 469300285 239182957 36456399 153984696 1000000000000000000 656607376 267739386 379869906 475412840 1000000000000000000 906572997 78759265 683341721 863619758 1000000000000000000 749722762 574158183 101978112 534756720 1000000000000000000 72734310 52855522 38176127 19302717 1000000000000000000 953850378 76976192 399932505 120864379 1000000000000000000 297323495 116827315 243082338 150997835 1000000000000000000 884146427 376990978 829351977 138424074 1000000000000000000 628423592 104285893 240130008 217183359 1000000000000000000 236640827 179802275 80127653 151145469 1000000000000000000 192853705 3602545 42980278 148311471 1000000000000000000 473383962 139571700 467868378 333306820 1000000000000000000 249102651 210298240 207853586 120620733 1000000000000000000 331197482 308175239 177301479 81570864 1000000000000000000 316558538 138922620 231472575 300795967 1000000000000000000 511550311 368854610 307997019 390325446 1000000000000000000 172705766 75403348 149232544 147851217 1000000000000000000 696464485 592593756 421202239 151631183 1000000000000000000 740097312 23080189 178060133 544846423 1000000000000000000 533481532 284759753 117524353 463813769 1000000000000000000 461834166 131304434 460234680 209375660 1000000000000000000 838756380 619175385 746472251 712191603 1000000000000000000 578427373 165393535 245239060 410239301 1000000000000000000 130524991 6276833 22760366 59511855 1000000000000000000 878760069 397331530 428047160 791392335 1000000000000000000 192947334 192359982 174374879 168975553 1000000000000000000 124281175 26491647 53793396 2738563 1000000000000000000 779287585 73213440 436013823 254463565 1000000000000000000 204285720 40471795 41787273 135684867 1000000000000000000 928588638 253951789 771983386 75303289 1000000000000000000 362526080 58271080 12100399 76805977 1000000000000000000 886831022 270854214 774547045 853982458 1000000000000000000 385777626 42801995 248710458 377336266 1000000000000000000 211963032 26419515 105093688 72668890 1000000000000000000 160113193 44732604 95967448 35711107 1000000000000000000 346318434 159946448 76817061 206547284 1000000000000000000 293002893 84178905 249303558 157127305 1000000000000000000 145657631 62325439 74986441 104076907 1000000000000000000 66105112 1085735 9069148 17076260 1000000000000000000 261961059 233633667 191623091 77029077 1000000000000000000 282112613 17554261 231461302 277670923 1000000000000000000 367516371 425251 40182470 170188066 1000000000000000000 594046753 195773887 460838165 139879835 1000000000000000000 624004542 356048411 345049984 463424809 1000000000000000000 413506981 355943201 330920155 171772698 1000000000000000000 692798849 534899015 117916586 655986823 1000000000000000000 227811192 58723570 68427946 37870823 1000000000000000000 737000516 620610969 705814517 479110285 1000000000000000000 725257150 186953093 155455693 146495564 1000000000000000000 566064990 174911821 157703517 300382537 1000000000000000000 778768366 409466942 338422452 437083007 1000000000000000000 285526388 37348867 87405095 200196581 1000000000000000000 676853552 518926313 367166738 576199560 1000000000000000000 432673298 298366531 82263635 194635752 1000000000000000000 308431078 102393959 47948693 186165983 1000000000000000000 977568566 614965013 632556598 511697840 1000000000000000000 775507814 132036600 361223025 28301256 1000000000000000000 93924758 11888102 69642110 44317929 1000000000000000000 433424722 198622278 353764838 9673235 1000000000000000000 916878499 566059501 173674257 315443419 1000000000000000000 309077403 222288025 24609723 140047836 1000000000000000000 219033239 166436783 18567688 18981122 1000000000000000000 895241655 343288110 834634228 218013547 1000000000000000000 389269083 274749584 295946965 243352952 1000000000000000000 46202401 38766668 8881699 44083915 1000000000000000000 816100717 268411313 750766354 347876709 1000000000000000000 739111464 476042359 335750001 279754664 1000000000000000000 836574245 237766286 220197992 374517288 1000000000000000000 50716411 42049842 3338467 22542797 1000000000000000000 675167761 395555593 590271782 493557312 1000000000000000000 145849791 124535659 75055188 14441447 1000000000000000000 153024302 110804557 67348368 148147999 1000000000000000000 291895116 275845322 290071678 15787867 1000000000000000000 555151409 150626283 172369292 538892369 1000000000000000000 810821321 418676429 352026420 441760791 1000000000000000000 460004433 346812214 99487987 336771339 1000000000000000000 907519220 127282653 140057082 678122790 1000000000000000000 868021811 557942156 519729960 688076625 1000000000000000000 409296206 165922563 174401156 96460913 1000000000000000000 400722236 249332112 27391964 241235926 1000000000000000000 489791230 206037053 353650653 154586141 1000000000000000000 506100259 12140333 427409230 287036480 1000000000000000000 165309038 100844557 13410425 165143618 1000000000000000000 407421034 340490412 75642974 173335895 1000000000000000000 133215330 90731783 53457438 28591706 1000000000000000000 292525475 181232800 177287596 226788314 1000000000000000000 722028679 233796939 178023842 429630501 1000000000000000000 339633929 178415545 223402666 3604862 1000000000000000000 989297009 6716351 186566766 276404237 1000000000000000000 192596750 86541280 14939673 15430456 1000000000000000000 549269543 5891373 231450664 424156425 1000000000000000000 658164706 262763872 515355113 95071791 1000000000000000000 512074645 474700485 425160376 303589989 1000000000000000000 654122721 323729618 471042787 410155669 1000000000000000000 279398581 212210923 10392361 76260310 1000000000000000000 20436484 20401814 19729617 9448166 1000000000000000000 672341225 163236609 385309552 47216357 1000000000000000000 359105321 226098476 89001367 61540730 1000000000000000000 160121568 91866108 118362698 152526500 1000000000000000000 140173395 55770537 46877593 48908704 1000000000000000000 339236554 102109960 59446476 302342732 1000000000000000000 274101830 59314595 6924119 230074716 1000000000000000000 432485091 158209890 340993409 199295938 1000000000000000000 712958992 259975703 634886492 299025161 1000000000000000000 428154253 101354836 126941939 174731826 1000000000000000000 781706573 465327858 501788103 575074075 1000000000000000000 961660063 479854387 101821146 453345478 1000000000000000000 16193077 12181640 15078250 12378141 1000000000000000000 379742328 353573002 351427549 144788767 1000000000000000000 58681714 898311 23527878 48851149 1000000000000000000 31855878 29655011 31791283 18484893 1000000000000000000 663269834 614667892 256835559 457171162 1000000000000000000 998557150 977281762 432133019 119038564 1000000000000000000 798106758 182927023 181329326 758479785 1000000000000000000 339217713 310980857 86426013 121754277 1000000000000000000 726990375 518881276 143288155 107775891 1000000000000000000 734505092 268071809 408302890 558456035 1000000000000000000 676587155 609355271 496697598 225979395 1000000000000000000 966439927 188385781 803775843 397845004 1000000000000000000 866850239 748603200 446800145 34936333 1000000000000000000 726575584 100403163 78631820 108952098 1000000000000000000 458746910 73544632 447217175 219424166 1000000000000000000 72464067 12598258 72356657 40967328 1000000000000000000 956581503 325767808 266493366 35087552 1000000000000000000 833851465 268680911 25421727 532515868 1000000000000000000 701315959 225838683 495101416 442156039 1000000000000000000 418204637 379421162 192989685 334206108 1000000000000000000 625747264 426921700 46672478 76524238 1000000000000000000 537959479 506921686 406906264 290999747 1000000000000000000 794652256 379743670 582220995 154481322 1000000000000000000 283093339 137320045 233304991 207251178 1000000000000000000 139345641 130534364 97447810 118085877 1000000000000000000 311881914 238996954 159263344 24336941 1000000000000000000 398713909 372713421 373806631 37034973 1000000000000000000 972376105 317418385 558464730 250123277 1000000000000000000 425909716 16817914 125886934 266515674 1000000000000000000 377944531 4539518 351093953 111031151 1000000000000000000 998803227 402456801 971040831 595987873 1000000000000000000 410064555 238457083 356728608 355777117 1000000000000000000 293270658 127745227 87538602 238649940 1000000000000000000 876523906 423760711 530187536 136216587 1000000000000000000 784405700 13396893 735085014 586355991 1000000000000000000 636933672 16769811 592129347 188379871 1000000000000000000 800244162 176215360 474595628 303943781 1000000000000000000 168459367 162399507 81875085 150401791 1000000000000000000 34292790 21117490 18926530 27045147 1000000000000000000 380797171 238442748 198165585 25081209 1000000000000000000 244736945 19226785 4759262 153490585 1000000000000000000 633348922 554251249 602637314 143250991 1000000000000000000 205486186 56265842 123482276 11836686 1000000000000000000 586403429 286950048 475805023 525419814 1000000000000000000 802573839 392264570 162836629 422195667 1000000000000000000 707085803 275912156 425080923 846790 1000000000000000000 926652533 404887486 678923079 416024307 1000000000000000000 289002911 222110192 98393677 191489114 1000000000000000000 140781336 25402793 108149218 112003419 1000000000000000000 488544834 477660181 93110077 240033837 1000000000000000000 898802313 555579370 267769043 404797189 1000000000000000000 813223959 161125041 761760361 88136731 1000000000000000000 449693518 187571037 339149419 255735147 1000000000000000000 253591863 8831598 223078038 147124134 1000000000000000000 554320224 39768303 8926545 201635053 1000000000000000000 789389206 650358443 530576708 528714411 1000000000000000000 366275881 226661128 300520243 202268627 1000000000000000000 672667249 661847079 269494338 645355729 1000000000000000000 12971642 10547120 2093213 11540553 1000000000000000000 558209447 468421087 132288270 403657976 1000000000000000000 575131941 121485009 260506144 257572089 1000000000000000000 957563897 245826123 273263040 837013465 1000000000000000000 129225473 29075461 65693342 56919689 1000000000000000000 330916400 273145426 276472949 284837044 1000000000000000000 415825829 157419400 296583313 320114176 1000000000000000000 210824000 202481880 32987967 82151484 1000000000000000000 665813273 614206695 165035618 503494454 1000000000000000000 593786617 57944997 158346628 402177887 1000000000000000000 208241942 141547044 130220689 17101759 1000000000000000000 998662961 776019733 509515471 583013916 1000000000000000000 176360222 21295993 133733908 129244222 1000000000000000000 406141218 158667445 350956780 140938369 1000000000000000000 244691642 62330488 189098875 107434724 1000000000000000000 715379285 456451401 632045084 539901436 1000000000000000000 152923946 142079533 7943384 47935713 1000000000000000000 541800756 388202921 494802815 35016501 1000000000000000000 63238117 4791088 23741910 43132382 1000000000000000000 749551502 473476822 743431541 658018922 1000000000000000000 432820198 150815010 370910127 105614815 1000000000000000000 994605046 633916964 417467680 57005732 1000000000000000000 511995772 470035976 15930340 415184884 1000000000000000000 34201010 2675592 23586579 33528104 1000000000000000000 837877515 819771073 112057259 785585141 1000000000000000000 156013660 155552283 33477047 7649626 1000000000000000000 274516980 166427331 170640792 38886801 1000000000000000000 735541529 643349432 629028755 235750298 1000000000000000000 935785127 666598943 506420203 33666183 1000000000000000000 602046332 485650537 39643649 91474081 1000000000000000000 450119799 81617156 323580548 369292695 1000000000000000000 672056119 483056213 462385150 445399539 1000000000000000000 629753844 503904469 343706345 437795552 1000000000000000000 506224417 35451224 46911616 8679906 1000000000000000000 809353132 599815256 629929806 345449783 1000000000000000000 503293011 465816001 42798409 281716485 1000000000000000000 811448450 578731717 524716883 638840520 1000000000000000000 927296677 657983119 489769892 453667375 1000000000000000000 400437501 45329597 389627799 238578874 1000000000000000000 519446809 200325514 221549019 505370507 1000000000000000000 465713899 426078745 281683551 219866620 1000000000000000000 822142110 799334471 53145978 6521358 1000000000000000000 357708774 119759558 114115896 326272734 1000000000000000000 675495008 406884064 73603483 260581987 1000000000000000000 316813557 165680266 195053628 78556121 1000000000000000000 816657014 8132847 659119615 141436143 1000000000000000000 298661090 140016413 221102774 111907184 1000000000000000000 111021774 44189415 63012780 83623270 1000000000000000000 938135968 244535991 589548591 617494218 1000000000000000000 864064169 685427803 276093705 717065669 1000000000000000000 388699838 328275807 5172000 376648041 1000000000000000000 951547288 294750324 891743336 20536846 1000000000000000000 680756863 428509189 399448395 75811259 1000000000000000000 531664042 449108988 145613981 86605292 1000000000000000000 18067333 16225409 7058168 17577831 1000000000000000000 263626814 82316921 164037124 228590854 1000000000000000000 631830792 541451122 333940678 563108116 1000000000000000000 441519904 239310881 349640697 271213376 1000000000000000000 543801854 114243271 376317429 184131898 1000000000000000000 725094209 239713443 314245868 279107280 1000000000000000000 460856469 456405175 434866281 403517685 1000000000000000000 874712 44382 80654 668638 1000000000000000000 457416141 383552809 92861321 298983026 1000000000000000000 70010645 52451375 62491238 55854227 1000000000000000000 11635847 7057583 8246510 7273336 1000000000000000000 814210734 349438572 329520316 620165767 1000000000000000000 576411639 401528769 480563287 372981124 1000000000000000000 816820878 811768642 674863367 172338690 1000000000000000000 245044640 82293589 654755 135983055 1000000000000000000 412861826 345310383 162747313 192404537 1000000000000000000 797638448 756244567 153761039 139693318 1000000000000000000 549513262 194387065 430223550 346374393 1000000000000000000 555448783 49811483 413213119 209024449 1000000000000000000 377885160 336285231 59182224 307176994 1000000000000000000 996381835 326617550 12612502 758264722 1000000000000000000 840658365 368370731 704362207 201505055 1000000000000000000 839503009 180650776 141143896 352992778 1000000000000000000 363836178 159223298 39884811 64053111 1000000000000000000 635095430 399556323 402997346 417876940 1000000000000000000 314840571 84332421 198127772 204210452 1000000000000000000 735152670 435241028 507285696 490427023 1000000000000000000 741751840 108997947 647559429 508875594 1000000000000000000 57468586 30238379 38159056 44794583 1000000000000000000 822220759 584756329 428223405 719299057 1000000000000000000 682036135 610484552 348072454 189645376 1000000000000000000 379182664 113077194 67474295 207331843 1000000000000000000 73580290 27897043 72188193 31127477 1000000000000000000 669029389 377078840 445108118 78391564 1000000000000000000 152090442 144119987 140517540 94344520 1000000000000000000 421042942 407988759 159012890 253558318 1000000000000000000 469078186 391320653 293283902 174365828 1000000000000000000 310501693 164913834 291884401 70495433 1000000000000000000 890556107 403232872 807534702 723950217 1000000000000000000 778752877 524184126 534811104 185702727 1000000000000000000 81085299 48187900 27637417 31313738 1000000000000000000 569630396 557275341 159627780 253873660 1000000000000000000 18841147 11600548 10992039 15647351 1000000000000000000 851462463 572687878 2723563 536786491 1000000000000000000 279552405 187893293 25223449 9636619 1000000000000000000 280342958 123086140 165946539 162792158 1000000000000000000 520899397 38631076 194761845 244669809 1000000000000000000 125239729 83326269 102393936 112442393 1000000000000000000 340671638 271169842 72949126 270359979 1000000000000000000 463513053 268097453 55198104 43459479 1000000000000000000 977959958 577685341 675253697 223209318 1000000000000000000 830420905 791680457 379737164 92859562 1000000000000000000 535781786 113678135 498647540 327181925 1000000000000000000 479313588 178478915 275918191 17087442 1000000000000000000 83459594 56192248 37112733 49992252 1000000000000000000 475222948 309000431 212629408 169087618 1000000000000000000 143335689 44703180 12883002 7947346 1000000000000000000 361160285 12003281 343235390 274309263 1000000000000000000 683669419 540910568 462318794 140783621 1000000000000000000 18957853 4953200 5747788 7960895 1000000000000000000 190803452 153107436 36024332 10758901 1000000000000000000 993274573 503564884 53282730 695946682 1000000000000000000 121986053 64615204 79548561 30858704 1000000000000000000 447740177 361956252 396032533 113553309 1000000000000000000 540534542 504171514 129612744 515638400 1000000000000000000 502539943 414418138 497501513 454100486 1000000000000000000 262667394 133371973 236400533 53287690 1000000000000000000 877878270 702034523 87620706 871003099 1000000000000000000 255136037 114353178 143538253 2185959 1000000000000000000 821013122 268687238 497358045 702063193 1000000000000000000 578907291 135076942 257298902 394153878 1000000000000000000 458447352 24490931 117582171 196931082 1000000000000000000 802674397 120741783 221754371 708273808 1000000000000000000 207891667 47703870 103794489 55740496 1000000000000000000 60504419 21764043 12633797 22201476 1000000000000000000 567102735 190414068 88306620 51845543 1000000000000000000 572394268 492052016 298962068 49123204 1000000000000000000 602791462 580627723 135323512 428884734 1000000000000000000 193521437 134411907 44440716 188048782 1000000000000000000 334485774 197621603 38372869 286947639 1000000000000000000 595948570 479523351 303921040 544236754 1000000000000000000 725908552 100421691 197323964 682630246 1000000000000000000 679688497 488802998 670376141 639193308 1000000000000000000 102131539 89361607 74110726 37940838 1000000000000000000 936114664 734865779 548714697 178118496 1000000000000000000 658881865 288834673 222484147 422315284 1000000000000000000 993353459 445486166 497450079 387178984 1000000000000000000 399035161 139780004 91820536 275032134 1000000000000000000 586185852 247622034 492449327 403304380 1000000000000000000 390427062 218841373 95887829 71701285 1000000000000000000 387456530 193002201 38350509 282658182 1000000000000000000 75966732 59933018 17350476 3453992 1000000000000000000 780533891 61479647 565203325 103175863 1000000000000000000 392886279 296795709 114766993 229763687 1000000000000000000 722607492 353662372 641738014 283455526 1000000000000000000 231540690 52104325 119745965 48524536 1000000000000000000 554425785 167249886 11805464 95017446 1000000000000000000 756887615 288527202 411407976 411945168 1000000000000000000 843728707 741314329 488959746 325939944 1000000000000000000 996184431 44759221 134822096 73639413 1000000000000000000 566367253 44020238 329375960 250986982 1000000000000000000 373909970 350478630 26569651 366439390 1000000000000000000 377162680 109986632 249465533 322979455 1000000000000000000 329562889 129342885 28624635 226566160 1000000000000000000 554490377 219033081 33333743 304562220 1000000000000000000 706891142 494689039 330373886 620918985 1000000000000000000 897178196 323058911 176674388 873717889 1000000000000000000 149036817 91946516 134564994 40779412 1000000000000000000 161436642 110945899 99312504 31195325 1000000000000000000 778637753 55208866 598076790 489053121 1000000000000000000 40649890 18672513 33576970 38042225 1000000000000000000 905215932 121878598 819566826 635954823 1000000000000000000 349541180 167111354 172269341 105128287 1000000000000000000 548448440 66341044 49289831 408837891 1000000000000000000 749265436 504454840 735498541 243266580 1000000000000000000 177656376 17762880 54806185 102709626 1000000000000000000 983615079 537895456 922030892 964694094 1000000000000000000 403750174 287960702 105428980 37640594 1000000000000000000 293413724 83226174 48666713 135707610 1000000000000000000 866297323 500746873 805346009 806659550 1000000000000000000 484814772 188107848 227389256 335869152 1000000000000000000 829077784 761157742 339826819 143595102 1000000000000000000 628521351 399442434 496621703 39126955 1000000000000000000 630058122 185899657 328914657 530761707 1000000000000000000 411716539 339145333 201512847 298160653 1000000000000000000 891919286 699203744 356728964 379617973 1000000000000000000 266147669 73231009 264633045 72458427 1000000000000000000 853858123 714525286 504053257 476941772 1000000000000000000 168754475 50023362 42519592 151552844 1000000000000000000 401545051 146209146 114657568 90593907 1000000000000000000 195713587 181426649 93112813 38060116 1000000000000000000 974491098 444906703 373698917 746470529 1000000000000000000 507439344 247774920 335430933 189162274 1000000000000000000 843505168 563608929 2608276 380722525 1000000000000000000 946395768 636323705 205849555 631178793 1000000000000000000 296494129 115840056 140260336 152085834 1000000000000000000 545680162 74786242 344782762 4503598 1000000000000000000 159552478 35581827 76156930 28246425 1000000000000000000 773555088 102927095 112591625 166802714 1000000000000000000 972557754 307496705 219870216 905974797 1000000000000000000 943029097 41469002 397708100 328901309 1000000000000000000 599679088 179252480 267341615 20280706 1000000000000000000 442318841 267318195 96455985 308537574 1000000000000000000 536999697 270804473 494274769 46778096 1000000000000000000 413935886 97649578 134046175 164298858 1000000000000000000 896117079 771426708 302072045 168573536 1000000000000000000 298166315 38305302 148875906 71887060 1000000000000000000 117268601 68165337 105055864 76530288 1000000000000000000 616514374 558510398 191865187 366791323 1000000000000000000 888517236 673179733 542044383 705030435 1000000000000000000 368082999 32877482 232073286 4709372 1000000000000000000 741298952 452388011 476034417 333521657 1000000000000000000 407774091 167737407 296129128 111145493 1000000000000000000 680260004 320781040 288637623 159720044 1000000000000000000 947913478 481841718 859482529 865788448 1000000000000000000 253242905 170642078 125491010 211448953 1000000000000000000 650829128 132820258 101599844 541087073 1000000000000000000 30827049 2854218 12273116 16543321 1000000000000000000 161461240 60190144 105122909 155197478 1000000000000000000 593901729 453432709 68259548 485900720 1000000000000000000 548271784 165427900 350772315 207088557 1000000000000000000 376779029 186949547 73729705 96590921 1000000000000000000 322625947 114498538 278201012 299730809 1000000000000000000 863453998 45511939 105527165 736090233 1000000000000000000 406476031 4259653 61060639 145086905 1000000000000000000 345109005 223993478 191809610 174105775 1000000000000000000 638155420 614220922 470840837 391593584 1000000000000000000 518687198 105946617 35474734 511112675 1000000000000000000 303428273 258904435 37269820 273389977 1000000000000000000 486838680 66012609 389266845 145408506 1000000000000000000 916877771 258544999 692246458 459039901 1000000000000000000 352526068 139831226 156758853 191645835 1000000000000000000 317664792 278012684 25203290 139986434 1000000000000000000 635712488 75825946 420807304 28263024 1000000000000000000 411858191 202407770 118604049 387194656 1000000000000000000 289523581 222607787 137873653 47121769 1000000000000000000 102870096 38369425 83232834 59750093 1000000000000000000 108069991 56084935 87413353 24977102 1000000000000000000 732104981 47107715 58530578 68803924 1000000000000000000 809054959 159257891 337794896 193324614 1000000000000000000 833516020 591559050 638688970 247362289 1000000000000000000 448190260 239538265 34983177 432942782 1000000000000000000 424262486 212153718 292828660 279356061 1000000000000000000 34971327 33666719 14347872 10455436 1000000000000000000 783701660 89166860 487401823 655412728 1000000000000000000 979342321 844804277 280910552 293403508 1000000000000000000 184265005 124078620 50011763 119810177 1000000000000000000 830953582 213713327 520052388 386521602 1000000000000000000 874396019 621933900 181722667 158687355 1000000000000000000 177650785 131358001 104173815 74787044 1000000000000000000 606255387 63073609 273311129 158172205 1000000000000000000 885114071 19413136 429057579 840315369 1000000000000000000 606061184 217325907 203107742 357077098 1000000000000000000 230732045 107944925 34297412 211324483 1000000000000000000 353774551 45044023 327425969 224100653 1000000000000000000 548230789 449919510 52865335 10717029 1000000000000000000 447891471 63430345 98160925 14609204 1000000000000000000 883785440 704987200 470642463 46489507 1000000000000000000 281893782 201356919 46832291 257565137 1000000000000000000 475410810 4200012 410686123 283526886 1000000000000000000 59448736 8102081 17778637 8799368 1000000000000000000 529276711 276167573 292193165 510393436 1000000000000000000 983954636 22983450 449735474 799733604 1000000000000000000 500470119 301739943 135807800 371351733 1000000000000000000 74882368 48213151 66127180 51034378 1000000000000000000 995843817 749991690 847278132 681278955 1000000000000000000 57353412 44100566 52502118 35928022 1000000000000000000 33854126 26915631 29350156 1063805 1000000000000000000 986691895 721733906 380679204 338421909 1000000000000000000 981731079 406059434 863186814 567335920 1000000000000000000 364541687 58120910 110094239 302791655 1000000000000000000 64687722 63289732 58577956 52172573 1000000000000000000 320680465 103575930 296165129 19618417 1000000000000000000 116725187 106348883 85313998 53690502 1000000000000000000 309740753 8402368 254436468 126477504 1000000000000000000 952034473 253842215 652910761 610111621 1000000000000000000 969272656 256653079 198244625 511737264 1000000000000000000 748469408 71652872 431582347 683318195 1000000000000000000 267167815 254991099 32992772 162490076 1000000000000000000 964682307 545250894 444688780 895935554 1000000000000000000 444610033 66137305 158320468 344309907 1000000000000000000 738889544 268651331 600101106 548625511 1000000000000000000 244975539 26004310 107140046 142939118 1000000000000000000 141251205 22799133 131092905 77221799 1000000000000000000 227785269 12896717 66281152 193090164 1000000000000000000 976503356 967782673 724808523 497409624 1000000000000000000 241378335 88541486 71737828 47876855 1000000000000000000 24122234 11333126 1416518 6095706 1000000000000000000 154654135 5867008 80250445 138569489 1000000000000000000 824941251 654650375 504537975 475917473 1000000000000000000 651308064 155801140 236429814 373776938 1000000000000000000 80854365 12887650 13054867 43149473 1000000000000000000 68525870 37592855 39980587 52461672 1000000000000000000 830138047 170847793 770655277 223685032 1000000000000000000 217455496 161930757 53680315 13650454 1000000000000000000 411190035 53070768 206083270 312579734 1000000000000000000 74725161 51125176 22298285 69930147 1000000000000000000 705850295 155466226 681140129 524934905 1000000000000000000 922692472 343457192 637934649 347106565 1000000000000000000 886076794 342722627 804123826 9352146 1000000000000000000 468917903 20995878 185889848 353553701 1000000000000000000 868564604 485106540 2289719 192970889 1000000000000000000 983044193 320116674 968840072 8457130 1000000000000000000 753848917 469650893 411061383 503306023 1000000000000000000 132884337 80959018 91371441 70747774 1000000000000000000 654847554 615114991 39095398 105762136 1000000000000000000 182978209 160536640 177211542 93523551 1000000000000000000 926245400 824910134 488006482 913141276 1000000000000000000 259396325 192082944 8659605 45472017 1000000000000000000 258826425 140109967 71289025 199730629 1000000000000000000 833861690 376310597 620494113 748303744 1000000000000000000 870259528 661815223 173680075 869316636 1000000000000000000 197545709 92524068 39793009 135850380 1000000000000000000 989827750 75650065 67679585 213976741 1000000000000000000 708412963 590404140 682971446 678119603 1000000000000000000 695858935 540678886 140171174 296023630 1000000000000000000 609552675 200550463 285119517 249445537 1000000000000000000 994674997 991685209 866062068 445339131 1000000000000000000 750369666 395557266 74289698 88743764 1000000000000000000 825963731 63084656 666473842 720248100 1000000000000000000 513581642 89248137 457332255 144708728 1000000000000000000 738030320 361788463 8811323 92235337 1000000000000000000 292966061 142558822 191692906 103314904 1000000000000000000 799226047 233543979 421626118 160682627 1000000000000000000 940431835 550235648 864779967 150388730 1000000000000000000 428815972 124891281 178658879 66161933 1000000000000000000 72796429 50072803 15718941 50219323 1000000000000000000 13104031 3819389 9618266 10596883 1000000000000000000 722577702 361535357 84288536 536291969 1000000000000000000 77048290 10878927 11444386 62132718 1000000000000000000 646518914 380712158 179801460 615862413 1000000000000000000 129148118 13528355 105391420 96075035 1000000000000000000 135774931 89855983 29021532 118786870 1000000000000000000 808499410 158501363 684930731 682637290 1000000000000000000 181205318 17314359 149208501 106196651 1000000000000000000 669806100 70427652 46957219 597615449 1000000000000000000 229180683 158595547 102779746 34648145 1000000000000000000 268461942 96079657 104980318 32043207 1000000000000000000 374435509 67839209 109015457 273637428 1000000000000000000 225411461 208699824 32414435 156895245 1000000000000000000 955167086 42763657 912170530 71642898 1000000000000000000 141489761 127470763 59632122 69864521 1000000000000000000 263004544 213192468 220249720 54747287 1000000000000000000 727395658 126176641 286383088 101737767 1000000000000000000 659978748 48606062 73309024 195036323 1000000000000000000 461027106 428535456 343875819 47615577 1000000000000000000 839653612 266489740 680382126 286305912 1000000000000000000 19092268 10672071 15945618 10251758 1000000000000000000 381510915 6538625 191515650 226758283 1000000000000000000 955163928 936321583 582866798 548308630 1000000000000000000 445017593 402534275 126226788 85097442 1000000000000000000 286142367 162000310 281565523 90654377 1000000000000000000 988717520 692211057 199105202 851893343 1000000000000000000 962914742 398930360 338653636 806254028 1000000000000000000 660730384 325031210 569734406 329098659 1000000000000000000 143162824 34567484 56933305 143121905 1000000000000000000 874370200 714280566 692545228 750937533 1000000000000000000 399365822 79141088 30712087 352479806 1000000000000000000 259337391 84490449 72168837 195209337 1000000000000000000 883477857 752969207 746294024 70835945 1000000000000000000 554852952 212814159 248228098 161088419 1000000000000000000 591195218 565166584 523121988 274334645 1000000000000000000 205804796 118953868 18319984 53707757 1000000000000000000 13700363 6094144 1367576 3188770 1000000000000000000 931821817 562220178 555180181 137386128 1000000000000000000 870341199 455380080 212297305 860254389 1000000000000000000 792281827 348724040 448191005 551387785 1000000000000000000 216820940 165138145 80000715 66252425 1000000000000000000 683669043 254560122 392736166 613940681 1000000000000000000 987716505 980384529 354752710 411249915 1000000000000000000 621017114 476961228 317701621 20498300 1000000000000000000 291802627 55490584 180888228 95133312 1000000000000000000 669028584 550732753 614126901 364720956 1000000000000000000 18559241 13494179 6923008 12820196 1000000000000000000 953493600 250927242 929217711 134910382 1000000000000000000 293189161 233315022 255240958 264332986 1000000000000000000 127533870 68833434 89038256 89245341 1000000000000000000 666932784 69676652 409518038 364316579 1000000000000000000 836997069 829216163 484911749 505438386 1000000000000000000 639567550 526097381 581013340 385429687 1000000000000000000 280810847 73376473 206356269 181597436 1000000000000000000 107941971 85799570 4305321 96818523 1000000000000000000 665354349 109929642 530015123 315958357 1000000000000000000 216056124 131567238 162662953 150592666 1000000000000000000 623052548 296039491 301902123 208528399 1000000000000000000 535964340 153257673 224563022 332863491 1000000000000000000 289678282 234599385 282993944 69558222 1000000000000000000 741681552 304189473 422348490 313677781 1000000000000000000 719499670 288529668 694427917 542832317 1000000000000000000 132095543 6776562 79899021 86689819 1000000000000000000 916004050 598426376 131764171 481864531 1000000000000000000 691193077 654918976 609530659 505516519 1000000000000000000 219666175 16505737 71738898 85698730 1000000000000000000 839965808 403816362 665657343 752789027 1000000000000000000 769751724 219022550 484226291 340524360 1000000000000000000 505973855 392258365 110411681 181615269 1000000000000000000 302868388 265819299 293550204 117316084 1000000000000000000 889508108 347284698 255176817 210426159 1000000000000000000 805097204 794821192 275586233 133778100 1000000000000000000 501673820 405518641 32679212 299626228 1000000000000000000 589723477 156984525 248028729 98096787 1000000000000000000 250988201 198710046 208343504 108770695 1000000000000000000 716529636 312604427 191848263 506943535 1000000000000000000 558034925 516692117 133209814 243216820 1000000000000000000 158281231 152367924 145859559 19636095 1000000000000000000 14944873 924776 3495378 10921230 1000000000000000000 672529061 652403816 41756739 267102334 1000000000000000000 312191958 126107981 14270039 103262976 1000000000000000000 959652109 9949651 511513490 8370445 1000000000000000000 45349696 25887445 36677581 757743 1000000000000000000 193432818 187067030 22228656 44086818 1000000000000000000 415756283 155969385 31656847 17739362 1000000000000000000 773609501 616368340 570925927 278637618 1000000000000000000 978939114 243336478 688825160 137250279 1000000000000000000 550748849 358500092 481981983 429133947 1000000000000000000 380950379 37832540 201858748 361640896 1000000000000000000 743557454 581505228 116967746 641152810 1000000000000000000 402628738 102788521 265394435 269757940 1000000000000000000 940722612 350182584 31682826 916005208 1000000000000000000 838588979 644631644 484052804 824455296 1000000000000000000 758114647 208691767 73509356 166163227 1000000000000000000 526811637 229262123 163317277 424515111 1000000000000000000 418041839 286608926 177873616 3691345 1000000000000000000 1799099 1518597 335862 660588 1000000000000000000 86095666 72733449 17889090 61119918 1000000000000000000 249310931 133527320 73397334 112238607 1000000000000000000 62709276 44815116 62522946 43253880 1000000000000000000 51671405 43448575 27258027 15702728 1000000000000000000 656367851 619889844 550351000 324327510 1000000000000000000 472278079 74504223 237238161 285431626 1000000000000000000 512909982 205483099 31629516 201545138 1000000000000000000 422008438 225180303 129527364 351666816 1000000000000000000 23042319 4357131 12454405 868521 1000000000000000000 297324065 178135770 113422786 236651147 1000000000000000000 820025882 606244916 415165085 360864929 1000000000000000000 414367555 367627156 298194024 35120018 1000000000000000000 684820615 393187969 106493288 264751456 1000000000000000000 181808996 55946030 62988764 51144763 1000000000000000000 834435288 480925257 360772120 523422184 1000000000000000000 258392366 156084488 205187356 169579855 1000000000000000000 952705972 2825308 179633696 488182282 1000000000000000000 17966220 5181597 517691 5899935 1000000000000000000 89081522 53983860 80236219 13747412 1000000000000000000 88969473 71314469 419436 85032588 1000000000000000000 751608055 653249265 168983685 370738464 1000000000000000000 691764330 32463367 497023311 148578759 1000000000000000000 781889631 736681105 657678220 732708664 1000000000000000000 753687601 65897620 387821622 393940328 1000000000000000000 371248319 17394054 63107472 62620152 1000000000000000000 61946330 59423516 41194485 1627839 1000000000000000000 866056273 449735061 181288714 503997307 1000000000000000000 71414929 69880671 71078382 26142918 1000000000000000000 940088790 763508897 685464834 397021113 1000000000000000000 444082176 57487364 358516127 123005135 1000000000000000000 486164667 301901482 393097288 367820696 1000000000000000000 615380102 476804656 373516456 365681193 1000000000000000000 556774168 163978532 52764628 24238425 1000000000000000000 161852811 45564188 145705172 65705556 1000000000000000000 470143697 273130730 378859085 443192053 1000000000000000000 83497688 29173701 67910859 1739739 1000000000000000000 195991700 55613742 64352737 9148678 1000000000000000000 93262837 27857041 88192028 52349015 1000000000000000000 540167248 457154753 511446204 482747712 1000000000000000000 914152120 853345161 79724820 429864328 1000000000000000000 801255237 464654278 495196058 792022186 1000000000000000000 363934538 327871716 221485680 252098095 1000000000000000000 520575965 286434287 289728805 300124689 1000000000000000000 596896808 66588680 571626928 212475507 1000000000000000000 678972588 100518588 50687866 420891864 1000000000000000000 289943581 36269829 251422752 75486838 1000000000000000000 710052871 411839656 602562707 504509189 1000000000000000000 827675721 444213779 500648518 599545198 1000000000000000000 884489065 494251133 775269337 353017472 1000000000000000000 478567462 429734657 188035350 229602295 1000000000000000000 174375577 156535383 120317789 122856735 1000000000000000000 634601307 203682592 547871311 21008653 1000000000000000000 885840851 631922089 480656925 225704148 1000000000000000000 682935005 495003109 259239220 91868425 1000000000000000000 778278176 319812295 650842731 210997143 1000000000000000000 413025997 296548900 132450408 178145977 1000000000000000000 147286084 145912608 100685886 130078261 1000000000000000000 101904516 97514810 40400837 63921090 1000000000000000000 700003475 237069250 260937161 333906462 1000000000000000000 180692365 77037278 81642345 144410074 1000000000000000000 708955195 453973317 9022534 479510608 1000000000000000000 429595623 230824352 206792672 139345108 1000000000000000000 667340807 176149668 246126212 129028243 1000000000000000000 621129395 52813551 415171317 104978783 1000000000000000000 755297457 278287437 370979670 587701322 1000000000000000000 67081231 33689882 26592516 21634282 1000000000000000000 246962634 229664386 139241583 49891556 1000000000000000000 730439307 439831857 217411430 57506294 1000000000000000000 423219717 289387866 84257288 247035967 1000000000000000000 523097408 483882001 44232098 158934853 1000000000000000000 575358201 360294240 123939739 524213587 1000000000000000000 345557101 194065641 339040640 297639476 1000000000000000000 839414278 138953404 501972036 429633108 1000000000000000000 922339032 134728852 333076894 245916850 1000000000000000000 657398093 218278182 444868076 159666235 1000000000000000000 775788656 69492650 381494359 278720078 1000000000000000000 462150080 388659802 383037275 264324124 1000000000000000000 884344588 609786365 592624708 817764538 1000000000000000000 637608699 10519765 594187651 464804995 1000000000000000000 547085103 3167692 251643540 249148825 1000000000000000000 715956774 629634783 116865486 79142341 1000000000000000000 677937155 78088204 116573338 575388420 1000000000000000000 201191327 173532105 56793344 85430632 1000000000000000000 772213889 523857703 586391364 532852321 1000000000000000000 535150795 300021860 441559996 258053269 1000000000000000000 342138539 228396618 173062993 62804206 1000000000000000000 127620435 8703565 37861475 71389998 1000000000000000000 415144666 75380227 72210382 221368909 1000000000000000000 816942437 29525801 164055465 201917432 1000000000000000000 193490326 26967597 191876540 15371476 1000000000000000000 411872763 42622166 108305752 406091627 1000000000000000000 341874939 51520197 188490118 156210234 1000000000000000000 97678358 16173607 32489679 84459315 1000000000000000000 423440904 242671568 113593552 58182738 1000000000000000000 877580507 108621355 133356322 10746174 1000000000000000000 516694882 378320344 30730135 423160265 1000000000000000000 875766002 869420341 636312484 166550392 1000000000000000000 980418060 417530824 300513905 433987387 1000000000000000000 231042549 186021183 214485394 37565424 1000000000000000000 661469091 87136363 226335489 48657444 1000000000000000000 926469911 802363472 901421816 471693939 1000000000000000000 404997966 80423050 157037283 103817117 1000000000000000000 739881941 690506582 667306269 501666648 1000000000000000000 772817582 630055243 312946079 522066876 1000000000000000000 408010913 183708049 404869328 306120238 1000000000000000000 479170607 282449432 30329025 454699324 1000000000000000000 651776124 34878783 35079920 20994561 1000000000000000000 303211073 14984981 228043085 103916545 1000000000000000000 77180644 65159149 56941448 23290604 1000000000000000000 164866503 103836409 18953255 156073580 1000000000000000000 920994613 658830615 895367879 145482762 1000000000000000000 419330301 18172263 66319186 184358876 1000000000000000000 610552394 531576886 364993312 579512081 1000000000000000000 200284164 31157770 57758359 12781627 1000000000000000000 584962799 74399430 340877824 18982343 1000000000000000000 533600357 440320602 491490098 53489912 1000000000000000000 935187946 429462020 103704446 598732373 1000000000000000000 426545112 195180964 102247136 217219993 1000000000000000000 258156646 121093216 133995590 216557069 1000000000000000000 156562009 124378330 65899024 126513469 1000000000000000000 331321169 142357458 170527834 95630237 1000000000000000000 567228937 83039146 559808269 248680324 1000000000000000000 726219148 533058616 599157991 378197355 1000000000000000000 792221834 667198900 512765033 633101043 1000000000000000000 650506323 513126145 538375628 380546803 1000000000000000000 658386057 467503669 481260892 392627476 1000000000000000000 269213776 215951010 157714513 185895335 1000000000000000000 914913769 794979453 369937783 410554216 1000000000000000000 108884473 56603993 66695108 48592738 1000000000000000000 515415734 473074448 461224760 435261617 1000000000000000000 110375173 90470143 33879511 4289270 1000000000000000000 610709586 237385530 336869635 123444537 1000000000000000000 693689927 475686187 541955995 604898794 1000000000000000000 10121532 1637591 1886104 8127342 1000000000000000000 592294834 213122977 390213091 127692203 1000000000000000000 724850283 666465705 494328206 684097154 1000000000000000000 695089788 165600124 9280536 269950407 1000000000000000000 87962712 55227807 34119373 50873813 1000000000000000000 355011217 261522895 281169298 14942615 1000000000000000000 189760540 89079928 75414768 167656530 1000000000000000000 891617801 168527125 298508877 372409522 1000000000000000000 756026139 655026652 493800101 321651726 1000000000000000000 618897338 141287863 500093733 478893077 1000000000000000000 946361302 932693545 823154318 33505907 1000000000000000000 808912289 372823884 632951839 704733447 1000000000000000000 125487574 42571273 113751248 57653618 1000000000000000000 608124407 387423786 377714840 1922694 1000000000000000000 321606609 226876687 94779401 84465279 1000000000000000000 239607124 43354080 26649750 91547300 1000000000000000000 338150867 192236100 79408272 209044873 1000000000000000000 37725326 6993628 18076914 25028615 1000000000000000000 712002651 434681197 195477636 576813715 1000000000000000000 634786081 340904192 536357894 2232560 1000000000000000000 753464600 167819706 422084223 740504570 1000000000000000000 329466823 56934392 143158711 5717836 1000000000000000000 461929976 401478568 445379531 253394635 1000000000000000000 971707681 602058893 586495407 169228131 1000000000000000000 544780131 167192793 170021227 534565549 1000000000000000000 810628240 439287913 804857242 5062000 1000000000000000000 403438969 377375708 231050113 339610041 1000000000000000000 836909709 410605955 328378182 79063774 1000000000000000000 161100437 159590188 80125938 117977410 1000000000000000000 921477495 681972679 236481755 712080474 1000000000000000000 201811222 30746718 44102569 47822764 1000000000000000000 383750854 261589607 109360125 63424962 1000000000000000000 67893512 7669644 43200955 2756211 1000000000000000000 672800138 595740767 12326969 475399745 1000000000000000000 317992545 24917350 77415035 1733507 1000000000000000000 478578542 347098402 295821293 93018281 1000000000000000000 192853479 61787692 49374150 159735846 1000000000000000000 729881035 554780948 575125013 117757655 1000000000000000000 247381004 31925598 27333383 56271861 1000000000000000000 712839147 274348675 3286789 514281859 1000000000000000000 917872711 459955232 427754323 250385542 1000000000000000000 189307442 136110756 77959608 172027627 1000000000000000000 377188610 108286444 330807929 186103023 1000000000000000000 228997236 194030012 153320772 75358882 1000000000000000000 710555893 328572252 564267600 125900178 1000000000000000000 511635548 509017356 29726491 504887706 1000000000000000000 736211479 224154440 501498515 109559 1000000000000000000 326821953 58206186 324963696 62978525 1000000000000000000 473319571 376028106 109690263 336476575 1000000000000000000 879731981 198109727 606427487 402180383 1000000000000000000 188186474 100622091 62250768 139529543 1000000000000000000 29581419 29574349 26549602 25896404 1000000000000000000 781555973 239276368 306705848 507761687 1000000000000000000 819582153 480719806 520462633 122030284 1000000000000000000 163132620 41673385 71709088 48168671 1000000000000000000 983588615 446199818 853763607 583269492 1000000000000000000 804977418 60935626 291564190 483300035 1000000000000000000 493959207 208527051 57799698 482002771 1000000000000000000 136375703 29617488 124921814 100707838 1000000000000000000 747046808 419341270 541757890 111318167 1000000000000000000 613889645 64858179 185961438 281226957 1000000000000000000 587932014 243604708 329169474 321769254 1000000000000000000 170721134 110602297 149079027 99296939 1000000000000000000 586166298 396930838 476195978 365921045 1000000000000000000 234894820 121062425 28122895 223956079 1000000000000000000 446971631 133674507 306277459 168956009 1000000000000000000 947658270 789893238 260595544 23074113 1000000000000000000 809449023 742195076 366025603 9337124 1000000000000000000 568061989 62848143 250662541 186904438 1000000000000000000 754867785 195627222 500685169 97717536 1000000000000000000 356510320 351892973 347753546 286279343 1000000000000000000 69636898 5247818 32124083 6045470 1000000000000000000 998952848 934721093 673483729 534261088 1000000000000000000 825684246 322290064 310270752 193945872 1000000000000000000 303767221 224332030 118110517 118406349 1000000000000000000 239076230 37418638 171817404 66556515 1000000000000000000 508972520 469500423 447152195 307961364 1000000000000000000 932866866 636761030 402752901 769972998 1000000000000000000 273610062 177626536 17719653 2939832 1000000000000000000 264644631 155005565 143667437 8837313 1000000000000000000 632848012 323410677 472673076 438010561 1000000000000000000 697704133 568766388 148266076 412379526 1000000000000000000 428861303 184672277 336106019 169101497 1000000000000000000 438096286 207150673 354488225 437858225 1000000000000000000 95778890 66925387 23842705 67062968 1000000000000000000 678252831 60130926 15700837 269321850 1000000000000000000 322752909 250017916 291516486 255157739 1000000000000000000 197886712 128701540 61597839 83515167 1000000000000000000 6995680 1434311 2516656 3311769 1000000000000000000 561038494 43433238 551720675 455479641 1000000000000000000 713234035 197500501 151686915 493196794 1000000000000000000 288661506 168266620 163246750 8609444 1000000000000000000 565020049 432903170 162469333 50423557 1000000000000000000 833109497 80667139 799949350 691802606 1000000000000000000 902521401 567231886 638068911 265607258 1000000000000000000 524423064 288132801 296703348 349835912 1000000000000000000 662925003 497856681 18782995 12184216 1000000000000000000 440177837 220915684 350364244 21596987 1000000000000000000 223566832 28724198 222299835 193837491 1000000000000000000 660473619 175803607 562237079 468800269 1000000000000000000 673379304 587756149 28792070 222963334 1000000000000000000 404832078 144399851 402547975 93435644 1000000000000000000 198933808 69408588 49206189 82470525 1000000000000000000 598709792 16438970 519337322 253051176 1000000000000000000 122017173 11473558 13010637 102906909 1000000000000000000 513232202 272075251 141496165 251262413 1000000000000000000 360079944 300693092 302975458 193663149 1000000000000000000 409906180 292470149 376635944 155154203 1000000000000000000 901808615 279620815 657545935 73829742 1000000000000000000 426516386 127988418 55191048 40040479 1000000000000000000 295212841 280085614 59609244 226663078 1000000000000000000 574252352 407732766 204298474 271484479 1000000000000000000 635474098 104682650 214685235 421939269 1000000000000000000 775114453 68408849 468961125 10276017 1000000000000000000 776111994 666007651 225987940 495637528 1000000000000000000 808682685 414575053 754933640 200722237 1000000000000000000 331079536 80380590 170133214 243614817 1000000000000000000 220560873 21946588 203320864 52820229 1000000000000000000 995880626 651654588 35486786 47055768 1000000000000000000 813244946 719768924 481106557 404663631 1000000000000000000 306499085 24775934 260409573 242929196 1000000000000000000 273198234 134064434 119527198 114398416 1000000000000000000 9256407 7255511 8830628 1489101 1000000000000000000 632082571 290720679 605195477 81817953 1000000000000000000 618152332 277246448 84934012 456068873 1000000000000000000 74200267 41336776 6419519 38242007 1000000000000000000 677771364 411424661 334289608 82402352 1000000000000000000 780339985 315383043 514633745 485486535 1000000000000000000 956102617 19035093 822915857 483867316 1000000000000000000 48583439 492953 14201711 36134761 1000000000000000000 679023125 73825990 90062325 352776343 1000000000000000000 963175495 428099010 544080360 231086079 1000000000000000000 630594977 102030387 311074974 498804032 1000000000000000000 748486920 139767090 525312801 56971385 1000000000000000000 193013151 183744598 90504662 149426450 1000000000000000000 400154135 378042282 81811289 122116414 1000000000000000000 322691887 132536833 59359556 190589239 1000000000000000000 654083719 170533913 127748164 199797817 1000000000000000000 896169238 491637651 47971421 621730670 1000000000000000000 592879757 502742300 93207695 491356015 1000000000000000000 193495074 100049858 130078570 17108630 1000000000000000000 316808526 209468010 296002659 82575869 1000000000000000000 455335207 224868695 306034478 171141928 1000000000000000000 298138425 130035829 101197236 64925293 1000000000000000000 138007653 103975712 5214570 59122375 1000000000000000000 190524930 148565980 83284261 41931804 1000000000000000000 193953251 38738596 133340387 146431960 1000000000000000000 493018030 87797206 56486857 245316251 1000000000000000000 791090968 727317263 396280142 43992414 1000000000000000000 235244214 18596475 30424811 213937949 1000000000000000000 207886483 76792965 106727917 96005920 1000000000000000000 658935305 112276439 109639976 436337650 1000000000000000000 327452757 319440608 310992993 59262354 1000000000000000000 260812534 138830947 230428721 251313639 1000000000000000000 713957885 575221834 669506618 372293234 1000000000000000000 506356717 229150869 485670895 227746020 1000000000000000000 842355526 626857938 343424439 147264967 1000000000000000000 348313714 24276920 260262437 47679240 1000000000000000000 215295236 85959990 144675870 165518357 1000000000000000000 257117683 169043282 39016452 19834158 1000000000000000000 393634047 300556510 276441547 255714982 1000000000000000000 294508973 153845698 38870357 49459275 1000000000000000000 44013396 28824278 19281231 28110315 1000000000000000000 180139088 44602787 29393171 30726047 1000000000000000000 403366253 138243100 205793669 118497933 1000000000000000000 182841270 73721101 147824067 101050894 1000000000000000000 476062276 200076125 313606623 380869534 1000000000000000000 723170368 290381330 186016137 156314027 1000000000000000000 881396322 665492209 733075711 514915967 1000000000000000000 995100691 284941971 535532733 739128451 1000000000000000000 225957521 144348038 88129831 48808208 1000000000000000000 679632456 552056047 171937044 571713072 1000000000000000000 787444363 538550969 313374743 352634290 1000000000000000000 495753427 289689103 455945518 422168806 1000000000000000000 798671440 427871915 640481613 746192286 1000000000000000000 125407114 91869468 19884213 83388303 1000000000000000000 574806674 425658389 3480017 273204499 1000000000000000000 388195338 372721013 151936848 34663920 1000000000000000000 10312576 1171502 5056083 3452318 1000000000000000000 892316125 720108275 801803225 866526403 1000000000000000000 946543101 570598090 721952776 78295693 1000000000000000000 242713772 198188030 187026537 114126459 1000000000000000000 510586477 418531671 331178939 246050398 1000000000000000000 799872152 496971305 142933478 170856125 1000000000000000000 678156877 533322069 144262356 216601832 1000000000000000000 468723116 299597935 202837478 134853690 1000000000000000000 907684020 418974632 582233103 575009889 1000000000000000000 70773755 66615452 27364695 15227460 1000000000000000000 199796532 3569140 180459286 99614950 1000000000000000000 54461239 35885486 45500674 5852898 1000000000000000000 225166460 29714840 17956388 36240819 1000000000000000000 691125305 106189747 168217766 75757312 1000000000000000000 103733335 74958376 61127372 97410843 1000000000000000000 420612796 110789210 171691256 347104768 1000000000000000000 935159173 521859346 71858978 680363292 1000000000000000000 888995320 222483031 330419934 157862488 1000000000000000000 640922359 129082713 237771053 39273372 1000000000000000000 23134642 10447828 10268943 15797432 1000000000000000000 889268595 670014553 673633012 853548371 1000000000000000000 455978333 309448419 248628242 398615489 1000000000000000000 774605943 248297942 65579259 340688988 1000000000000000000 977416157 778973496 883849241 704003175 1000000000000000000 84459558 44988473 44922232 60984316 1000000000000000000 764287681 708199331 253443768 42998022 1000000000000000000 485265185 5719049 360965861 413254977 1000000000000000000 269396587 202260822 243712731 122090093 1000000000000000000 662820727 25895011 571997445 388914118 1000000000000000000 331249896 122259471 70051757 47803250 1000000000000000000 591416234 59197172 380473400 394191609 1000000000000000000 353705078 161650414 63735828 288429246 1000000000000000000 797684801 698566276 378745389 437351222 1000000000000000000 336279689 51694710 237202481 92586562 1000000000000000000 706656519 388664563 482866517 253767868 1000000000000000000 495053438 364329677 474508743 115582508 1000000000000000000 148734354 131488036 29542409 37607321 1000000000000000000 738352914 339848223 186846113 486706293 1000000000000000000 964623440 640305247 936578561 555005999 1000000000000000000 210813678 64774172 89839582 102043300 1000000000000000000 139758689 52635902 97860440 42402470 1000000000000000000 652602170 413467839 584908679 198035085 1000000000000000000 408770531 383601025 144238328 9699127 1000000000000000000 211573310 206732312 169636536 183745187 1000000000000000000 519558445 278969125 36301570 7440235 1000000000000000000 153490538 40662710 149823728 90776804 1000000000000000000 137522669 5870568 41233729 47665656 1000000000000000000 162986903 105854427 93404790 69252545 1000000000000000000 183387450 157329030 42090926 115435844 1000000000000000000 981616938 560504570 916942509 747706940 1000000000000000000 142704271 91965830 131969776 60818467 1000000000000000000 600311089 124006634 202046691 238213577 1000000000000000000 517935265 134302245 466358387 125118420 1000000000000000000 792197713 110877933 703329098 547596519 1000000000000000000 831148060 270938386 430549769 318741348 1000000000000000000 441467000 412594670 289933282 131686600 1000000000000000000 326865781 226393765 1849354 161691603 1000000000000000000 299752455 69351084 245991232 41823830 1000000000000000000 146350203 48127769 47961466 66469429 1000000000000000000 77930332 11551592 38482743 30337556 1000000000000000000 775761144 54988710 585176432 277420616 1000000000000000000 518928409 323873900 288159445 226115556 1000000000000000000 183240067 46610697 166022307 113480151 1000000000000000000 774496246 711421946 336516848 379541327 1000000000000000000 82412162 73154620 18718146 28740480 1000000000000000000 733558689 650984193 187543655 172388273 1000000000000000000 534240573 388335331 238688242 174808976 1000000000000000000 934822476 41686904 484679973 379476133 1000000000000000000 157495581 156257544 71713474 36829670 1000000000000000000 50072308 9160562 49528345 8533469 1000000000000000000 772952134 401305351 352744219 124684441 1000000000000000000 525500930 40253714 453818117 227106535 1000000000000000000 953647600 144843271 734839633 646743818 1000000000000000000 165649254 148883156 96711355 1491190 1000000000000000000 694178666 194221755 396792867 507679534 1000000000000000000 671071545 337036375 170361149 404020906 1000000000000000000 491828431 190587056 58144472 413824168 1000000000000000000 589707208 313618372 452199607 2208063 1000000000000000000 594327224 407691502 484507765 485977111 1000000000000000000 26798102 13648243 22166859 22269654 1000000000000000000 562536876 381653499 509363756 288575250 1000000000000000000 193529370 176962882 107615552 216167 1000000000000000000 573594144 216764482 357482546 232119037 1000000000000000000 729906325 142218002 579020438 699524650 1000000000000000000 248712906 82845587 157943395 21341759 1000000000000000000 310697907 197085729 65799191 215131602 1000000000000000000 401986296 36676604 379417541 142511158 1000000000000000000 410174499 372667124 178248096 152490325 1000000000000000000 778195964 104668118 746765341 471776629 1000000000000000000 111094166 90466089 12359344 56728484 1000000000000000000 889616723 446547344 200300817 626957857 1000000000000000000 818481966 533213316 664510598 139771020 1000000000000000000 826458126 556452478 425073944 78694300 1000000000000000000 348380647 90597446 314895897 300737259 1000000000000000000 418197381 277708130 372360142 209459451 1000000000000000000 723034856 631502991 113612944 121754377 1000000000000000000 303486675 83027976 266751850 226037161 1000000000000000000 903667893 413386244 274699814 91517486 1000000000000000000 414692513 41016067 299534057 340458444 1000000000000000000 609368279 76677972 238678720 374756270 1000000000000000000 610267665 594076793 228225225 196413418 1000000000000000000 25451293 24356769 11004567 14489375 1000000000000000000 613053971 385133467 124954440 580792443 1000000000000000000 663947850 564848703 584263214 154708942 1000000000000000000 886958292 127029922 171458665 874865745 1000000000000000000 142963980 110041981 15537939 110531802 1000000000000000000 132822336 27231367 107069171 92687012 1000000000000000000 101789944 58359606 41682184 50208256 1000000000000000000 563533132 348076177 452340254 161406943 1000000000000000000 8633871 1917248 5298947 7389310 1000000000000000000 869495473 89083730 319157772 408296337 1000000000000000000 184566662 145857873 1430505 104983618 1000000000000000000 631360036 61315143 506169541 407072834 1000000000000000000 472778516 257547018 444206403 184952092 1000000000000000000 748685881 668339649 390771245 532274101 1000000000000000000 538127905 458416017 98023658 118175909 1000000000000000000 77943656 5745975 77340042 55568679 1000000000000000000 246991826 24612675 146388365 159933275 1000000000000000000 256797221 254253951 167760775 145029369 1000000000000000000 624304575 500037317 229427984 254206274 1000000000000000000 817284440 270759815 436186934 231918142 1000000000000000000 32622162 21487974 18605110 3779190 1000000000000000000 854815770 509303370 515506527 199056620 1000000000000000000 69360603 27976563 14122072 60792195 1000000000000000000 816108146 251884231 755597672 585539843 1000000000000000000 282451262 257814087 22782995 136045758 1000000000000000000 497246605 186237594 254119645 201746254 1000000000000000000 674434953 229070898 395468930 625446091 1000000000000000000 636928310 148022864 361893266 62197579 1000000000000000000 69447480 8716941 68305066 43050151 1000000000000000000 826474621 517038975 62095943 449211682 1000000000000000000 141415511 8025694 23245037 30017965 1000000000000000000 863320456 258565126 659293767 668841246 1000000000000000000 442620889 288255958 227603745 107943829 1000000000000000000 541288767 136826520 62334954 422551291 1000000000000000000 53113441 51622895 28125798 40508176 1000000000000000000 716080438 437563093 178263156 486979600 1000000000000000000 778034617 294787238 689216436 56490387 1000000000000000000 815648277 83556293 304173075 451573715 1000000000000000000 668888747 647541110 467967081 187990435 1000000000000000000 770115974 247896089 433822543 498206910 1000000000000000000 150576264 16299530 81306340 27391536 1000000000000000000 51087840 23702708 45485312 15243316 1000000000000000000 421591956 231590016 143693867 239458845 1000000000000000000 325160067 137214507 160485095 118556792 1000000000000000000 122849706 93385520 26701106 32029912 1000000000000000000 975399414 910482677 880869941 651862685 1000000000000000000 930742342 91311265 169348086 38047085 1000000000000000000 94037054 93723732 28199835 41949522 1000000000000000000 792450564 564615298 220033669 636197415 1000000000000000000 626869982 552624012 368521891 142093905 1000000000000000000 633992390 181081130 161142910 178458153 1000000000000000000 671747403 559802328 282679811 661826811 1000000000000000000 155708060 150701907 88395568 41320712 1000000000000000000 755516442 429498685 81391894 261730104 1000000000000000000 631366772 29328412 627377331 377939553 1000000000000000000 743845282 335898347 710013080 376089798 1000000000000000000 600268320 11283404 120745783 155262229 1000000000000000000 947631335 165498382 564225897 905735322 1000000000000000000 432558125 180580029 164161504 333074745 1000000000000000000 425176519 343562502 165306712 274762922 1000000000000000000 696519971 96707484 283300938 34788980 1000000000000000000 452096284 141923964 303170520 190492173 1000000000000000000 410525312 68371716 176221304 319206193 1000000000000000000 154860135 56395346 16345862 382353 1000000000000000000 868338847 832713412 243071887 76633948 1000000000000000000 557153786 299180235 37027845 42844589 1000000000000000000 627670268 370315748 21969141 417079160 1000000000000000000 912330873 103829633 291237292 658882909 1000000000000000000 731542773 481033750 226138407 294628890 1000000000000000000 648553243 336119273 512894526 91223683 1000000000000000000 788579470 301088268 95084261 580083608 1000000000000000000 728204214 68369064 690472341 230428811 1000000000000000000 745304364 158770408 194896416 106808795 1000000000000000000 251794239 121086210 151333011 20346980 1000000000000000000 582968104 268474460 466636385 212856387 1000000000000000000 106136982 103965621 8037735 66788084 1000000000000000000 816044451 111425022 247136330 417021199 1000000000000000000 572694827 46837020 328703900 535811371 1000000000000000000 829220693 194195899 151814540 747362175 1000000000000000000 674963357 47041072 439684625 185964624 1000000000000000000 90056038 29594366 47736532 10277017 1000000000000000000 324451764 55226782 281315818 280764491 1000000000000000000 429874560 202394924 224244805 422847821 1000000000000000000 833997688 232237885 50364429 777618308 1000000000000000000 791835502 601280495 598712780 701825521 1000000000000000000 11828123 10123075 2474749 8897953 1000000000000000000 908334953 219735813 880022251 854201792 1000000000000000000 667264956 588343032 456329936 507314262 1000000000000000000 34324892 10644984 21351122 21405614 1000000000000000000 843947149 698100255 423249782 496011525 1000000000000000000 854372330 304748254 436706219 300949898 1000000000000000000 198961708 48206207 181706989 117831201 1000000000000000000 395816250 57788873 160036914 251799512 1000000000000000000 809246203 423533656 676300853 332522509 1000000000000000000 129653146 15864285 76309060 52341350 1000000000000000000 476554360 463838988 203111429 117921395 1000000000000000000 536942176 201768807 228443111 10531861 1000000000000000000 915875162 575514779 778605239 338572581 1000000000000000000 793054223 687955828 513445098 241174987 1000000000000000000 125284833 73148629 26555547 52545889 1000000000000000000 758248243 64784150 483598056 131937112 1000000000000000000 786022885 139616599 549416224 684356260 1000000000000000000 547319694 289038994 290827408 313878727 1000000000000000000 59051091 23615772 42283333 9850245 1000000000000000000 19591774 6929751 14515597 16767904 1000000000000000000 18999477 13381317 271523 8837310 1000000000000000000 540881092 349467929 199971534 482219845 1000000000000000000 108008648 82631907 34120842 76707942 1000000000000000000 501955840 495296433 478042932 452890221 1000000000000000000 195562528 52051591 105895025 43940914 1000000000000000000 151412419 133792234 35691755 109390325 1000000000000000000 152088633 74142171 22019464 75795822 1000000000000000000 312548830 170517514 145710468 304047057 1000000000000000000 304861527 71602028 61753566 180720573 1000000000000000000 794332828 12197517 38170632 100574396 1000000000000000000 777952204 395873346 765102758 206028829 1000000000000000000 630597879 628606847 119110743 285014294 1000000000000000000 142841767 41790849 47686257 110670456 1000000000000000000 544215165 216346224 38682260 247143697 1000000000000000000 936867496 660393124 24200100 468379565 1000000000000000000 289693165 180649822 109819435 34298753 1000000000000000000 647598528 274415074 575638467 368325751 1000000000000000000 121345707 3783255 96892160 5711968 1000000000000000000 52122414 48228819 36866672 27276243 1000000000000000000 242116350 232911447 43250091 120074921 1000000000000000000 789332648 178785171 66191219 785601343 1000000000000000000 563558255 325093861 55486323 74657861 1000000000000000000 682680994 260132780 637809034 494034431 1000000000000000000 959607873 828469015 513315872 329023201 1000000000000000000 46012680 10677890 13705745 29935240 1000000000000000000 536315254 129939443 506006481 352505391 1000000000000000000 957461767 310756070 425518895 868837423 1000000000000000000 876661468 752984080 135160119 54437944 1000000000000000000 728605743 417489555 20804268 390827832 1000000000000000000 186846306 184089828 77188073 74016565 1000000000000000000 316337347 145896861 155778605 12006864 1000000000000000000 732463943 563250823 648238788 29337889 1000000000000000000 850817364 252411843 266933317 436873041 1000000000000000000 793672760 726411433 111608192 774053643 1000000000000000000 622522018 539733311 417963932 201424255 1000000000000000000 793960440 358873745 365957051 650068914 1000000000000000000 358484730 184801605 247332638 27048879 1000000000000000000 240936920 146445070 60920667 97345323 1000000000000000000 321961502 297191630 3419436 302348083 1000000000000000000 980968990 484970853 376207389 377862857 1000000000000000000 243047864 195296118 122452666 85871074 1000000000000000000 28398247 6287267 16938302 20417246 1000000000000000000 791061493 575739209 83797968 625701445 1000000000000000000 226209564 200348041 133393052 47110828 1000000000000000000 163318549 121339240 68453703 100913984 1000000000000000000 612071547 21029313 348733760 548142795 1000000000000000000 588499421 378317864 379364068 554162478 1000000000000000000 483612720 422467018 380762823 154442644 1000000000000000000 224422980 115775316 138695368 215167077 1000000000000000000 231907186 127278237 16628626 61397958 1000000000000000000 123869173 93339129 122513988 27285616 1000000000000000000 119343755 6450077 22755145 103097579 1000000000000000000 962647494 900784114 954463804 953716130 1000000000000000000 630525003 129188136 420407620 208266374 1000000000000000000 454879869 224721183 447455412 58554600 1000000000000000000 610059493 534178789 172169916 441673054 1000000000000000000 438609032 390577910 42498623 118606176 1000000000000000000 573283686 523492833 194539617 249633130 1000000000000000000 636655173 275851550 481219180 152425018 1000000000000000000 596059723 145845872 466774618 167732939 1000000000000000000 869948221 320959912 202718078 624988541 1000000000000000000 209076854 134848874 89463118 203334035 1000000000000000000 611354064 419368149 219564819 371855501 1000000000000000000 499688349 359056250 217525436 256234001 1000000000000000000 910252804 416286503 836198696 408840846 1000000000000000000 825579206 93800310 497041608 423868406 1000000000000000000 36384052 20078615 18395211 25917141 1000000000000000000 324709341 281829684 10882135 253692417 1000000000000000000 962300967 833418789 307624969 827525251 1000000000000000000 184022316 169961957 42148983 96120524 1000000000000000000 463937258 11734777 371095903 32597455 1000000000000000000 585591506 384356479 460657557 406220431 1000000000000000000 154524464 73400100 20990426 133133211 1000000000000000000 381142702 66766564 270927595 121606932 1000000000000000000 538968818 144522625 537769583 185907792 1000000000000000000 100929280 94483446 85076044 68752266 1000000000000000000 872707783 615062182 236755393 783167768 1000000000000000000 737675196 535513344 636420568 496624720 1000000000000000000 655944854 212851913 263649553 73537554 1000000000000000000 963919317 661447101 118805448 175533603 1000000000000000000 987609991 323895688 428698340 824044248 1000000000000000000 454411520 147763810 28344818 425928542 1000000000000000000 194668506 152860331 14038058 47170651 1000000000000000000 670238402 239550124 325369385 342698442 1000000000000000000 826186542 405838077 740543236 489933167 1000000000000000000 607395580 261736996 573191569 312597892 1000000000000000000 835811012 625033557 222674471 575065704 1000000000000000000 943893275 95299859 465081228 497105849 1000000000000000000 131155721 37734852 75105510 127820324 1000000000000000000 615716666 403245946 295842428 135089395 1000000000000000000 468897603 85545151 85193133 403948419 1000000000000000000 62586083 15409330 1926024 30705286 1000000000000000000 442220227 70824867 84573509 53526166 1000000000000000000 735847957 479620107 668307174 49150044 1000000000000000000 5443945 5321098 3308401 3605374 1000000000000000000 525560697 418451203 213739264 491109539 1000000000000000000 703480982 6093782 398659025 581662345 1000000000000000000 848713729 464502007 102043627 384495537 1000000000000000000 978428024 357237008 606795335 144201585 1000000000000000000 238588769 143382628 21376653 221509246 1000000000000000000 458998530 24546694 378916567 93229273 1000000000000000000 197699360 16554544 23622328 18571137 1000000000000000000 756192642 162548655 190196629 681436485 1000000000000000000 670023525 667290407 244421224 365422559 1000000000000000000 281974028 105364910 223813622 65454361 1000000000000000000 385843827 28247267 33746126 305108176 1000000000000000000 633573290 431306714 29841428 366621411 1000000000000000000 780308328 80104026 742068824 439649773 1000000000000000000 976194406 31630975 642827215 827908167 1000000000000000000 54059185 45780234 40117163 50290093 1000000000000000000 370120856 294940651 265713311 84292835 1000000000000000000 56977214 35230015 34014808 4402024 1000000000000000000 225371209 135552048 34590571 7064749 1000000000000000000 754828791 31973461 594248986 163045603 1000000000000000000 371949481 206789968 299786705 262503064 1000000000000000000 876094539 562773296 498710765 98577846 1000000000000000000 592779442 206678509 581809732 538854900 1000000000000000000 502685150 265973623 201380767 202593887 1000000000000000000 81988329 5085848 66686421 25858805 1000000000000000000 222956314 206137622 102694617 57537565 1000000000000000000 928659859 638528982 207390081 719359497 1000000000000000000 394871655 65393574 241525958 43751634 1000000000000000000 928283264 755022832 60689996 744465249 1000000000000000000 655133401 344157392 433066972 521414206 1000000000000000000 295048364 119323000 250020164 175374382 1000000000000000000 606389281 42381988 253869587 457255420 1000000000000000000 920066710 766201988 634124299 563912442 1000000000000000000 418153693 311143729 363276377 390699956 1000000000000000000 447013150 101361679 61076344 38954559 1000000000000000000 627444993 616827088 26196115 423991376 1000000000000000000 291792678 149862322 274727235 254981375 1000000000000000000 814357567 332423311 183979553 211259647 1000000000000000000 843217733 747094838 390001901 238225278 1000000000000000000 929016110 704896697 797679024 753402141 1000000000000000000 426072175 37771060 264685261 410259526 1000000000000000000 397565469 196571291 367614439 77163778 1000000000000000000 954874660 477790108 15814326 528408659 1000000000000000000 758263652 394679235 488375707 295845861 1000000000000000000 47342626 15077329 3707782 23175536 1000000000000000000 439401565 210890184 105213746 151957528 1000000000000000000 162846823 121216783 8899167 30138250 1000000000000000000 717552677 381603906 17879220 590195758 1000000000000000000 526243200 231024427 223989299 384225610 1000000000000000000 495368679 204770824 384069175 187842429 1000000000000000000 810220504 80549237 547715647 40937937 1000000000000000000 837942024 200987979 612302854 775148243 1000000000000000000 62282865 54956314 24301836 58868955 1000000000000000000 767742805 722316307 417951960 143786337 1000000000000000000 968320874 679296318 233499525 937466809 1000000000000000000 93532103 58051595 86574833 22082085 1000000000000000000 810945918 405183023 252209903 787700380 1000000000000000000 593494402 330399532 132076296 146727602 1000000000000000000 809462212 68463654 143065930 274304459 1000000000000000000 186669926 134130989 80448406 147164576 1000000000000000000 194030275 160074047 158778019 137375219 1000000000000000000 237411987 194349123 38957226 87288601 1000000000000000000 448500282 307745957 243163514 331580024 1000000000000000000 219325823 162948670 185323128 174871827 1000000000000000000 611635607 530091349 132764425 291505668 1000000000000000000 946378754 882522489 45034453 768085413 1000000000000000000 262644589 13403779 75744527 84644499 1000000000000000000 87657756 26601695 51085395 25926640 1000000000000000000 153267683 132546736 131271222 15240309 1000000000000000000 662640519 324105417 322867876 639586235 1000000000000000000 209483644 132808016 206352993 6837733 1000000000000000000 136497131 21809656 38618229 13123652 1000000000000000000 443446116 442118121 357000585 275105394 1000000000000000000 215046125 212312428 100448179 30611947 1000000000000000000 102988635 85178092 93334485 262948 1000000000000000000 342074246 126525551 62009682 62149268 1000000000000000000 72115544 21786784 49662761 52085461 1000000000000000000 243179672 66455456 200308764 34126326 1000000000000000000 533306425 504577433 365490637 482804668 1000000000000000000 548042527 76610939 507129751 95156903 1000000000000000000 784743051 408823035 274902124 357698918 1000000000000000000 248221542 128473753 186378951 71787204 1000000000000000000 747710967 188512006 57205852 265876498 1000000000000000000 539788469 336642614 111995797 539260807 1000000000000000000 788331901 357798734 207243440 410342902 1000000000000000000 74306553 39817472 4874016 42520463 1000000000000000000 181293420 5429954 16723245 99414984 1000000000000000000 478682406 419940545 141645394 385058748 1000000000000000000 112088814 92265759 95448686 49577955 1000000000000000000 105478168 29645564 84962912 4302284 1000000000000000000 224451854 116471926 216104766 28038308 1000000000000000000 677272336 189881837 608783602 61547121 1000000000000000000 480696186 309075618 388654363 174287015 1000000000000000000 57930273 55294969 27438197 28438574 1000000000000000000 249380390 6627945 40064757 22482558 1000000000000000000 667102132 611750988 98452601 280659934 1000000000000000000 263042005 260004936 35749536 101726394 1000000000000000000 591268357 161717504 446450394 291061394 1000000000000000000 337997683 81079502 180564667 99485572 1000000000000000000 822590238 225264982 210329889 585088462 1000000000000000000 194341110 108519038 126073036 101247329 1000000000000000000 671353981 6927259 605908741 664139624 1000000000000000000 351270060 250014708 156772362 236326096 1000000000000000000 221256371 21488540 197904678 99084191 1000000000000000000 749204650 83592337 522858054 463647656 1000000000000000000 386480867 291699674 291486648 379015347 1000000000000000000 135314913 5589038 60290093 133708626 1000000000000000000 85284220 25965770 29281384 26122275 1000000000000000000 770364767 669872198 132177298 148590795 1000000000000000000 470756646 29353511 145229690 416532714 1000000000000000000 93950225 77177321 49466243 90431462 1000000000000000000 822350566 766420443 452180367 153672615 1000000000000000000 389676417 200861117 66428986 289172215 1000000000000000000 100947041 4320210 20021950 65256316 1000000000000000000 332730608 201835463 72540853 162887922 1000000000000000000 569642545 334653370 199164870 559580756 1000000000000000000 39983989 31097959 11995514 34977016 1000000000000000000 550872030 155763827 549137593 472798180 1000000000000000000 580129532 258575011 65955453 535850377 1000000000000000000 525505248 496985564 411913530 341568663 1000000000000000000 316496780 10101356 301876499 6343253 1000000000000000000 144539953 76361738 60562793 65714075 1000000000000000000 723951020 319977402 577597334 718353402 1000000000000000000 711011650 506691128 645165703 645012052 1000000000000000000 153276093 123380212 6108922 68281445 1000000000000000000 144981448 2336781 27285299 134794399 1000000000000000000 408180098 340006687 95270046 141243667 1000000000000000000 312540168 68248342 170130221 203582609 1000000000000000000 970278652 273626621 90939284 941914076 1000000000000000000 805695096 698189478 66834268 690839263 1000000000000000000 963472160 251700432 626514216 781794329 1000000000000000000 821440319 775039822 806655643 11241689 1000000000000000000 675119261 520771878 654778127 615276283 1000000000000000000 19082638 14658926 16259015 16012949 1000000000000000000 632524666 296629603 344407356 56720369 1000000000000000000 327016495 192513752 200495605 287237407 1000000000000000000 929289719 45140020 304575663 586220897 1000000000000000000 856102080 325587614 492572770 68861799 1000000000000000000 861941289 805188235 530973135 535132253 1000000000000000000 376403639 168960283 325153912 314864098 1000000000000000000 348312186 173061762 106066748 64258760 1000000000000000000 217242485 130980679 95672310 211297172 1000000000000000000 659416866 542975048 126141649 538681245 1000000000000000000 637152027 337587473 529235134 425880316 1000000000000000000 546086665 321553844 29174379 90623819 1000000000000000000 448617123 87135886 121324772 240299754 1000000000000000000 71354510 63276900 71294263 62684953 1000000000000000000 711756523 113406993 241442617 64301934 1000000000000000000 887858763 548198555 292190908 258155238 1000000000000000000 982735746 99335923 62962194 749007561 1000000000000000000 192145277 183101937 138435355 49657538 1000000000000000000 754894944 456981177 127452524 76034557 1000000000000000000 793481621 763645644 589556513 585574061 1000000000000000000 921889075 698209731 378506782 432231710 1000000000000000000 482878606 277942182 107847008 235556226 1000000000000000000 423114753 268389654 189088407 170399421 1000000000000000000 733152000 522675700 701327122 306837380 1000000000000000000 464641179 451642250 32086325 377059470 1000000000000000000 883979719 495612969 775761060 444701489 1000000000000000000 229905561 211898166 195882433 211901812 1000000000000000000 623094211 98171822 340508216 438710091 1000000000000000000 45372559 43051011 43669891 40414443 1000000000000000000 196080191 109282324 62033961 32758742 1000000000000000000 174398232 95315985 80233264 88805391 1000000000000000000 696898745 386818414 164873969 373169548 1000000000000000000 276800848 13873695 32147964 80967337 1000000000000000000 903571800 549085171 801080765 676205074 1000000000000000000 101417962 16960721 80234007 42323408 1000000000000000000 933104473 473709145 192937312 136977388 1000000000000000000 224785671 26556172 34852314 42930270 1000000000000000000 476420282 464763229 349977113 300815097 1000000000000000000 100720397 62390504 48512709 63533189 1000000000000000000 253402831 93546104 163474731 175096813 1000000000000000000 286072467 276447912 244736565 44283454 1000000000000000000 770211414 169116559 9711050 685472295 1000000000000000000 288040065 116778114 184238148 65591925 1000000000000000000 734297954 564557515 710268077 677480564 1000000000000000000 834504698 645094197 790740256 197226971 1000000000000000000 422827770 138641825 138813444 163198357 1000000000000000000 135406591 113230812 95557819 72414812 1000000000000000000 905160251 879784821 767462521 899739513 1000000000000000000 397976554 363954229 146847577 324870859 1000000000000000000 520097629 239989985 479706769 81100437 1000000000000000000 46303630 15759314 14678490 42224176 1000000000000000000 333899077 283062903 299729547 68504970 1000000000000000000 550757674 17648491 511502092 467081482 1000000000000000000 951208498 226743844 869068958 671427879 1000000000000000000 944735350 507103922 630327435 693713329 1000000000000000000 288832104 147474992 220430093 191528607 1000000000000000000 619850935 123152305 144484970 356111203 1000000000000000000 765103010 230862846 223997697 407206977 1000000000000000000 173906744 8769382 17397015 148704773 1000000000000000000 295732525 203358386 253786407 114017904 1000000000000000000 557985255 143885838 253763852 213808437 1000000000000000000 453628345 453363412 280419847 44841293 1000000000000000000 252515769 68972788 169796173 225709272 1000000000000000000 386283049 73846522 276706970 351748871 1000000000000000000 154102952 824423 112335635 62690950 1000000000000000000 617912565 279504223 505449826 12938624 1000000000000000000 327151231 275171564 290999506 45467347 1000000000000000000 114710880 63964335 91306205 109178987 1000000000000000000 164363822 52547577 135416721 34831629 1000000000000000000 65853861 22054325 30919516 34074066 1000000000000000000 330254148 273494803 126926184 107084101 1000000000000000000 842387333 174570292 299388408 641324431 1000000000000000000 479727085 380313423 274955830 360411529 1000000000000000000 812050810 263021101 704866043 674796507 1000000000000000000 148478290 140493127 54062556 130029482 1000000000000000000 391374440 215338237 220319282 147423515 1000000000000000000 38428228 1640540 38229387 19198960 1000000000000000000 610566913 475151886 403979349 299238457 1000000000000000000 863779975 525147217 77569219 382781454 1000000000000000000 950857423 460425548 506800137 348353381 1000000000000000000 306146570 250050470 303677224 40699596 1000000000000000000 210266934 67042183 6420373 100864668 1000000000000000000 499069674 39957969 407993431 301836099 1000000000000000000 471869624 10108886 240455106 6280802 1000000000000000000 698561061 122724037 42349847 173186187 1000000000000000000 92660511 74021109 92478240 48435751 1000000000000000000 799642616 99460259 273325029 491715350 1000000000000000000 154360232 92856135 35683381 3381790 1000000000000000000 331203861 292937574 167436596 134755215 1000000000000000000 429660236 293995923 68500663 176194859 1000000000000000000 712417173 1571184 487925971 181472569 1000000000000000000 832619857 15149000 658589379 270592950 1000000000000000000 442010341 67564495 107046782 252158929 1000000000000000000 178552685 30545284 110556143 144880514 1000000000000000000 974852721 965461440 276618763 653036648 1000000000000000000 337950811 103346155 65020667 70230262 1000000000000000000 729399473 546573557 118576571 546963450 1000000000000000000 641524229 436976294 146242800 60899320 1000000000000000000 74005105 23302032 7171377 16395536 1000000000000000000 551370516 387648250 392199291 99884170 1000000000000000000 888214135 359856097 685833882 224037418 1000000000000000000 920939510 525407383 886466331 857349872 1000000000000000000 850621820 260662836 761678979 822872136 1000000000000000000 260274452 130294858 190391712 78562097 1000000000000000000 278011243 185744963 197011426 132416345 1000000000000000000 195733078 183644395 123004269 174102013 1000000000000000000 712700381 413236368 460495400 554226893 1000000000000000000 542252484 98738217 278450270 170854990 1000000000000000000 541391486 195361358 229298419 478797887 1000000000000000000 594339029 277041252 438217818 342780150 1000000000000000000 973170276 647924850 140685584 440434816 1000000000000000000 362930142 297763206 283040233 22709207 1000000000000000000 188186450 173369858 58273471 154847770 1000000000000000000 665964997 489040202 254103643 223253134 1000000000000000000 82876014 55216768 29094541 31028195 1000000000000000000 494975220 334475999 299079750 287879802 1000000000000000000 344802766 338852630 273814883 112288238 1000000000000000000 610649212 372098173 333894962 54981396 1000000000000000000 531106041 287646756 517077191 353722618 1000000000000000000 410101732 391679042 116282456 304502429 1000000000000000000 329274059 141285425 310264040 146960993 1000000000000000000 439579464 215080157 327105080 394240093 1000000000000000000 503818506 141363584 441956904 349431664 1000000000000000000 424922741 39936371 10147597 116137661 1000000000000000000 744191601 231417748 621200475 62468505 1000000000000000000 759770913 344400237 384620775 655723154 1000000000000000000 246363139 2992073 205480864 221526023 1000000000000000000 623150557 284331099 441311593 178218445 1000000000000000000 907129502 619759971 116787375 841560813 1000000000000000000 816675978 209403387 345629912 389123306 1000000000000000000 293048699 81857404 234627180 99671347 1000000000000000000 154395307 877734 67950724 54787173 1000000000000000000 856292335 507090102 401244477 796385724 1000000000000000000 323398156 132136713 291225815 176252826 1000000000000000000 237483460 195991990 141804074 111942111 1000000000000000000 543754424 299188603 51284949 536870654 1000000000000000000 929578860 396977069 182775112 576675984 1000000000000000000 841103210 568162142 313538502 745084213 1000000000000000000 294793418 43248565 264449547 77873832 1000000000000000000 409001385 66927726 102761066 46675265 1000000000000000000 549157060 459924335 200513020 58132098 1000000000000000000 430000182 46799603 382148669 49423575 1000000000000000000 868618635 131059035 824423100 128500927 1000000000000000000 650025116 258334532 49123822 109529475 1000000000000000000 236706315 26880465 155763723 72288677 1000000000000000000 881042637 710323291 180362641 489727280 1000000000000000000 909143964 153189193 194116837 232027860 1000000000000000000 475260170 50952715 235660369 374181005 1000000000000000000 474432497 136158268 341352593 361659745 1000000000000000000 290398213 34998552 13680556 246322687 1000000000000000000 539650341 448075966 213669328 171496709 1000000000000000000 208711634 102875243 8603231 16682632 1000000000000000000 577385409 208425229 279775486 262212675 1000000000000000000 628951158 345520657 176946809 278675317 1000000000000000000 134755522 11070212 55597605 85609974 1000000000000000000 641548844 67306350 351862670 463496215 1000000000000000000 25900562 4363152 18339022 4934994 1000000000000000000 628454343 101880014 551971121 41023290 1000000000000000000 717502387 463888113 541091413 355704437 1000000000000000000 113123512 6051629 28796734 77159068 1000000000000000000 628630765 85971723 602515676 78303441 1000000000000000000 573735000 291267896 41656300 536777511 1000000000000000000 144301617 4759251 102046644 108142210 1000000000000000000 322151212 226387311 296104397 135108902 1000000000000000000 894477723 651483513 127095619 387861765 1000000000000000000 840941456 353274715 167649335 605576839 1000000000000000000 664998283 342991311 118346952 313078109 1000000000000000000 361479908 118842652 193663578 101131803 1000000000000000000 682129074 506681695 576755910 517561799 1000000000000000000 771235136 763157060 13091352 60094522 1000000000000000000 822075168 38373529 738266292 439219153 1000000000000000000 72956455 38926977 57929226 44929407 1000000000000000000 788803646 16186320 537357368 573707997 1000000000000000000 499691605 95089721 331418231 37452483 1000000000000000000 906551217 688995735 797810510 344552627 1000000000000000000 155290986 110708800 98675494 107108581 1000000000000000000 518230838 359503190 78475773 477220923 1000000000000000000 94595391 28762281 44357640 92598566 1000000000000000000 526000520 352688190 210420723 12419491 1000000000000000000 118884797 26279232 52878251 49964946 1000000000000000000 855077323 726445400 520151079 360032273 1000000000000000000 624123001 158917396 76982285 169630729 1000000000000000000 89004840 25607566 18714940 41523045 1000000000000000000 443217105 405918406 263032520 329465038 1000000000000000000 150564094 25218019 78699075 126898052 1000000000000000000 605618183 226939574 149288616 245387042 1000000000000000000 540398255 524835814 445250488 309773931 1000000000000000000 435096349 178157376 3172647 416302711 1000000000000000000 603529421 534076973 139156694 580648242 1000000000000000000 379075369 338816661 333563066 251801680 1000000000000000000 223815421 215528980 1200264 172022794 1000000000000000000 192631027 59455463 32471846 42315405 1000000000000000000 305778516 3086274 37781879 265208072 1000000000000000000 42017218 24227876 8582950 6468706 1000000000000000000 922833466 358078028 696812232 486470972 1000000000000000000 540824226 112428422 257688570 416427383 1000000000000000000 739062810 530135542 636326895 531249349 1000000000000000000 991106899 209438269 438981939 714038087 1000000000000000000 862925061 96995239 515303880 658225097 1000000000000000000 484655110 73445657 239946024 151296957 1000000000000000000 538833282 420153404 380735816 191686199 1000000000000000000 656921349 425433179 131767701 423950971 1000000000000000000 650977524 90130549 529546589 631827207 1000000000000000000 222651341 213605638 99169298 94005788 1000000000000000000 813890096 734293481 247175485 601232616 1000000000000000000 576610800 170751315 36481513 550787072 1000000000000000000 242730868 92956729 208468211 63160568 1000000000000000000 368969744 77293889 261880618 341522635 1000000000000000000 816903536 33893114 692340594 171741710 1000000000000000000 279176759 214732182 103426432 43970963 1000000000000000000 978802086 214872841 825858060 323878390 1000000000000000000 957669376 57977425 751547965 23443835 1000000000000000000 789221353 605880258 254419462 393064960 1000000000000000000 277372714 212463407 198758845 44823983 1000000000000000000 401875436 200657565 335791300 28108655 1000000000000000000 126081987 110729608 70881751 32699153 1000000000000000000 213667117 172872244 207897406 197595448 1000000000000000000 226012310 80810846 14012290 216986251 1000000000000000000 584179863 490408940 42112810 123418639 1000000000000000000 196428312 172153977 125125593 66487133 1000000000000000000 796311370 149566299 449938063 50778062 1000000000000000000 40801281 17027407 34441538 34045343 1000000000000000000 912709618 493723814 443985189 295828178 1000000000000000000 935576423 569615471 381716250 778443355 1000000000000000000 820985538 460924392 360614340 198823675 1000000000000000000 884362192 127249587 663952147 295418337 1000000000000000000 662075206 191297243 332231130 374255984 1000000000000000000 217293275 193888291 102212805 62727679 1000000000000000000 672132892 386434798 105172969 660674303 1000000000000000000 770668659 355023679 79999589 3287528 1000000000000000000 513310765 313863114 309756334 130757017 1000000000000000000 261872296 236114170 55410325 152838236 1000000000000000000 953171108 867308475 361755848 879320896 1000000000000000000 543577082 421871637 70977722 413737060 1000000000000000000 239376325 78896038 135868646 59347767 1000000000000000000 761376744 594742059 36536814 553956432 1000000000000000000 621143524 122984425 376353523 584631841 1000000000000000000 580371240 477501422 382253966 534829431 1000000000000000000 591864172 143975940 465085727 105442957 1000000000000000000 772101022 89070863 75783107 331763141 1000000000000000000 882307085 814659121 158809352 562613422 1000000000000000000 21452751 16456511 18660065 17194030 1000000000000000000 905906459 58857027 780443488 733900376 1000000000000000000 55828859 16764463 40340534 32105461 1000000000000000000 127582490 80212763 50604629 108471738 1000000000000000000 642014493 42828198 318027464 518932567 1000000000000000000 286829451 115992850 154358447 215053017 1000000000000000000 162190599 35471775 137772949 91359156 1000000000000000000 674385995 510602676 306633946 180691626 1000000000000000000 46417218 16283901 5993444 36017069 1000000000000000000 948647899 666975353 106184676 332308091 1000000000000000000 856394010 345358266 152664361 571107239 1000000000000000000 641550034 299100512 493482876 314398371 1000000000000000000 376708924 86360079 194721708 284731426 1000000000000000000 719993299 1951490 31626039 53768098 1000000000000000000 883938174 218524401 200372557 594195865 1000000000000000000 564152387 159311842 324753748 124293357 1000000000000000000 872623624 708484558 94980445 243927784 1000000000000000000 530507798 421292624 100812158 460561333 1000000000000000000 158848736 112035867 84427586 149427221 1000000000000000000 964334325 767801768 278820640 26530697 1000000000000000000 306095941 216428755 43085648 180337125 1000000000000000000 988226145 800776899 623617225 371398252 1000000000000000000 734209880 336403783 134251011 539887073 1000000000000000000 387864133 16437211 28249308 265737367 1000000000000000000 894139933 583872781 47716112 71739532 1000000000000000000 570033501 81003842 489623885 67239636 1000000000000000000 807180415 499632087 778159105 768324805 1000000000000000000 816951749 699964904 155658522 313376890 1000000000000000000 38462116 6263073 3133379 34615761 1000000000000000000 901633287 505298518 63380389 88900689 1000000000000000000 860095591 796998053 654617585 589336373 1000000000000000000 162316873 4846668 142752484 121421141 1000000000000000000 268432189 47756680 21404832 113003515 1000000000000000000 714294653 224274723 592020832 515064865 1000000000000000000 621778941 43810354 535575480 429192404 1000000000000000000 273359797 107666751 15478751 20189556 1000000000000000000 172398393 83766401 38072746 37325284 1000000000000000000 571934519 487671764 402013457 70260096 1000000000000000000 515340197 89943872 113452140 82656118 1000000000000000000 788260120 716349066 441589041 408455255 1000000000000000000 927981864 100551569 674623659 185057531 1000000000000000000 672302549 145094569 355116004 75451347 1000000000000000000 940403305 581717253 122208896 96721369 1000000000000000000 589455425 485795173 25633978 176704118 1000000000000000000 916487583 88780352 828345242 779872052 1000000000000000000 506845301 213722869 483558312 444686823 1000000000000000000 978116785 148037048 297900168 387563103 1000000000000000000 280619049 32813189 41182806 23281424 1000000000000000000 583572657 550885167 409645497 199772754 1000000000000000000 85431897 75436345 31054754 40863479 1000000000000000000 485915198 13472978 257622645 239028790 1000000000000000000 252237048 37940243 38650548 192244719 1000000000000000000 46798931 35951360 35118076 42414878 1000000000000000000 985145308 811447453 905662560 793635187 1000000000000000000 340265136 228650057 234755516 240638130 1000000000000000000 189581051 2332710 131329112 185780491 1000000000000000000 721792081 237323277 102060153 536632603 1000000000000000000 516284863 200594638 431327099 3603589 1000000000000000000 868488996 573983218 701084645 864214954 1000000000000000000 118953307 47611513 49391540 40666622 1000000000000000000 334068646 8904464 209970869 148540124 1000000000000000000 227401106 85588051 22094034 66833143 1000000000000000000 58638123 19919564 9693743 14364040 1000000000000000000 703081669 550917131 381070653 536893632 1000000000000000000 446812173 236170952 258665118 341375074 1000000000000000000 193079003 50989611 53855993 93260780 1000000000000000000 806395391 727215145 573933648 703275181 1000000000000000000 533477169 132037824 442634220 169943198 1000000000000000000 62569226 11483215 45902103 26169706 1000000000000000000 491250496 292063956 470599591 130980522 1000000000000000000 614059001 176974659 484612622 146530427 1000000000000000000 959481433 36104799 200722943 45798284 1000000000000000000 449331236 334087843 248896040 80560405 1000000000000000000 636331891 631822598 175873932 125171371 1000000000000000000 357556571 243723262 21099332 81261484 1000000000000000000 688962524 193975946 33508569 316580109 1000000000000000000 804390634 332976545 349489729 289243553 1000000000000000000 747223564 131292558 96581432 180040635 1000000000000000000 155998777 13477025 146700074 19423787 1000000000000000000 301361137 143924563 300138968 126552566 1000000000000000000 906437264 700165521 41264740 113639274 1000000000000000000 622509507 11684103 213033802 364378904 1000000000000000000 170591713 63393537 104696212 139830395 1000000000000000000 340841264 2390953 113086477 6547962 1000000000000000000 921424501 697294493 375913037 476540780 1000000000000000000 264681295 205320384 164105028 117501759 1000000000000000000 289269340 127869926 100571745 173497607 1000000000000000000 630135283 547285241 12121855 325935008 1000000000000000000 78173536 54757326 13103497 50490470 1000000000000000000 513302557 313684268 314614321 130818001 1000000000000000000 119749190 6670476 35788723 6261270 1000000000000000000 633380628 390793911 461130355 339854256 1000000000000000000 454004407 320112711 129008242 13056828 1000000000000000000 502015050 393870117 370475790 394851169 1000000000000000000 254800067 76471116 88676150 164397365 1000000000000000000 418715420 159618821 67712282 96887524 1000000000000000000 851172002 812435938 276366360 610735065 1000000000000000000 622651877 181021533 100841416 390629247 1000000000000000000 508066079 70096323 359886 174684875 1000000000000000000 99257205 75203846 19971033 25090285 1000000000000000000 334611157 139974434 115850150 186480308 1000000000000000000 105091598 54176513 30655779 64002131 1000000000000000000 373477682 132044470 175129389 223141341 1000000000000000000 686320061 187363500 171962963 478745858 1000000000000000000 636874550 59860726 57332834 550823423 1000000000000000000 921580926 769022168 687109278 246562652 1000000000000000000 238399609 142349979 236606252 226964644 1000000000000000000 406160070 270063064 352132199 383680170 1000000000000000000 775662055 562403383 200304752 19308359 1000000000000000000 679913476 361228870 283457838 214663421 1000000000000000000 298382329 201850545 82177217 91064776 1000000000000000000 994252900 306180033 917770226 939025043 1000000000000000000 175624465 29427957 143617380 22668371 1000000000000000000 945567794 735281087 110480555 300316495 1000000000000000000 318242341 308037512 254008357 1076454 1000000000000000000 949807748 745393843 665457451 83188530 1000000000000000000 988314557 66443319 257682586 48174981 1000000000000000000 424637246 345970448 143369455 80527644 1000000000000000000 482939923 407175989 345419594 139318638 1000000000000000000 183828158 158831468 160986908 34787718 1000000000000000000 805561828 509376846 569488572 203088458 1000000000000000000 199424024 117863765 41876143 188484904 1000000000000000000 342606033 267598245 236770663 29210358 1000000000000000000 466866128 319443366 4305105 79220033 1000000000000000000 125680908 90100250 117198343 89003069 1000000000000000000 60970577 34251197 41040046 33081949 1000000000000000000 584467575 419616234 479190640 137981670 1000000000000000000 669557106 148297834 327864353 229575311 1000000000000000000 177631397 91260883 144838935 64806269 1000000000000000000 587389111 91498102 190783095 577695675 1000000000000000000 5525200 3866912 3472161 3789209 1000000000000000000 710256299 708030244 579674438 594393069 1000000000000000000 86468015 29372866 58232721 5201651 1000000000000000000 294077024 44516991 13299668 129870297 1000000000000000000 160081122 71464645 153011593 63606700 1000000000000000000 344304870 296904046 46564861 208079248 1000000000000000000 857134537 458887442 293852689 293632780 1000000000000000000 113715628 70356510 74533528 50517614 1000000000000000000 253464443 217304034 139979783 84761635 1000000000000000000 215927166 197147897 78808888 194876729 1000000000000000000 396929365 305489838 158876822 122798513 1000000000000000000 137153398 958587 36465767 85127375 1000000000000000000 582766301 346709650 3812354 372701496 1000000000000000000 359951203 89123407 104084858 197637949 1000000000000000000 157343568 129187012 53266291 18395588 1000000000000000000 145532265 80537699 82561002 46787565 1000000000000000000 245644008 110169670 158937077 146414134 1000000000000000000 279818958 110519727 10753154 65277892 1000000000000000000 628751984 568760020 442271424 517926754 1000000000000000000 692316346 215040884 527916166 143189305 1000000000000000000 810447773 662145632 386856648 74164606 1000000000000000000 642547013 17877516 110680952 474434487 1000000000000000000 513298514 47300441 16744331 200793416 1000000000000000000 503429237 327253886 487394663 443544964 1000000000000000000 689757324 296657713 267031825 560309144 1000000000000000000 995290652 881528309 200725664 263935313 1000000000000000000 697762123 181560484 290494718 365229845 1000000000000000000 629034422 168990496 478842456 455216086 1000000000000000000 252472291 166045037 243818735 154807248 1000000000000000000 527615177 17598138 15532444 523326779 1000000000000000000 187685591 156803808 76046627 160558078 1000000000000000000 301618170 107350533 142472869 298181872 1000000000000000000 832558433 543603121 445673833 666852576 1000000000000000000 92150897 9116969 41591459 38406273 1000000000000000000 654188381 638256280 296426806 63271546 1000000000000000000 290243834 253879036 82693743 135215170 1000000000000000000 979004998 184076782 587658960 534110170 1000000000000000000 342519174 36115129 209736975 136613841 1000000000000000000 826944175 765399900 167807128 477745761 1000000000000000000 962810657 756231755 906417955 871581361 1000000000000000000 318302018 100386107 146761488 54099929 1000000000000000000 595983906 264756432 124160898 314756311 1000000000000000000 825810679 577034272 545609756 8956495 1000000000000000000 559713428 70358523 534148589 63390737 1000000000000000000 973265505 298335444 910668553 473400122 1000000000000000000 412438051 279481940 1156192 4412274 1000000000000000000 828539368 538157211 700905745 604289743 1000000000000000000 292082720 44742215 128024168 17297085 1000000000000000000 259919693 32049595 3989012 258362877 1000000000000000000 838659203 278738966 516077561 777988167 1000000000000000000 330141199 29225681 17391371 201998982 1000000000000000000 717899117 495193803 585153179 292039925 1000000000000000000 558482628 442937117 239098157 428651493 1000000000000000000 96439067 60354327 5911163 22932902 1000000000000000000 439117582 312341179 192086983 242154568 1000000000000000000 160574812 89448761 99362518 54326071 1000000000000000000 999247051 623086370 379296170 672714838 1000000000000000000 120098526 41521020 87763924 76389546 1000000000000000000 868770694 478396081 128392425 404244246 1000000000000000000 177325648 131838123 75478065 86630182 1000000000000000000 81328349 1217760 71217895 75650249 1000000000000000000 229532567 3812415 118399362 43977404 1000000000000000000 335090179 33677921 191154732 191581834 1000000000000000000 789487347 269899755 708730506 197201384 1000000000000000000 667152211 505203100 190868627 614565820 1000000000000000000 657522828 375625676 511253752 413156006 1000000000000000000 154713205 45196689 114648017 30401238 1000000000000000000 26588608 15692154 6819025 15303447 1000000000000000000 991771901 970902171 739181941 678516816 1000000000000000000 811009320 531468903 76549547 658890321 1000000000000000000 626823445 216480723 430042328 298877120 1000000000000000000 175024658 71373156 25433274 171768681 1000000000000000000 943023861 312930900 300386515 318431141 1000000000000000000 603449228 174932775 260955783 154679212 1000000000000000000 756340357 69403421 93687414 360293974 1000000000000000000 415455533 317399169 145716759 121367874 1000000000000000000 882743776 763227758 505233577 437838322 1000000000000000000 69871870 10566402 37253977 20968863 1000000000000000000 187893552 64664215 130303570 2665038 1000000000000000000 644523324 601874538 379518256 72315773 1000000000000000000 59474441 28832334 2235101 41390633 1000000000000000000 476462888 404132634 266257115 123086522 1000000000000000000 865877358 217249872 274476542 393162471 1000000000000000000 297100234 291572403 158154767 128836025 1000000000000000000 374302837 198677921 288839077 187015798 1000000000000000000 953237543 512443465 692848246 826087905 1000000000000000000 136554039 35324956 49916698 12483585 1000000000000000000 3313947 1052670 2062875 2003180 1000000000000000000 438974354 412427985 165191967 134090249 1000000000000000000 684312328 114724108 236921705 184195095 1000000000000000000 487892593 456715099 457748450 242941828 1000000000000000000 903989509 588788757 77278404 360133973 1000000000000000000 769249422 1042504 177875559 624369987 1000000000000000000 890114128 806728824 228378298 714176554 1000000000000000000 908780070 112494052 698730203 533123231 1000000000000000000 416078649 37224577 70851978 31209013 1000000000000000000 166703278 73315322 26513832 114992672 1000000000000000000 781500482 16287189 681755953 584289032 1000000000000000000 275005727 181068362 245726707 103485435 1000000000000000000 340510140 30559765 330577270 302486932 1000000000000000000 961604970 643426638 106857555 522891932 1000000000000000000 655359046 445303014 433171307 172971484 1000000000000000000 622831476 352510803 274515899 418864484 1000000000000000000 638549080 131586536 527868773 615845469 1000000000000000000 804612568 199711966 636269416 623620952 1000000000000000000 280658941 180538838 43955412 62653409 1000000000000000000 846658512 213687769 597373050 545656930 1000000000000000000 876545385 543337777 841655896 615423985 1000000000000000000 864469926 756380852 128071576 201872654 1000000000000000000 52866161 38725185 35736834 31865724 1000000000000000000 638069239 437764411 552916249 435055194 1000000000000000000 735879832 732944945 129598988 334044938 1000000000000000000 899420457 246862418 896197747 889686786 1000000000000000000 235368169 119632530 133024906 75209491 1000000000000000000 470968193 38801258 262523199 70189253 1000000000000000000 468642507 364763928 44897282 7075053 1000000000000000000 929570444 268187951 163308800 717279919 1000000000000000000 684491986 610718831 24774834 238253319 1000000000000000000 340519679 319071958 80121627 164229855 1000000000000000000 260511081 64434889 32403937 260293749 1000000000000000000 198349470 84243278 171669671 7454330 1000000000000000000 895975043 440795361 166367560 345493630 1000000000000000000 597876746 171271439 387951199 66078352 1000000000000000000 277097081 261879552 45655175 160901001 1000000000000000000 300214132 212563660 220892220 132134983 1000000000000000000 548406263 145689180 325041128 481093013 1000000000000000000 788229190 398349381 114285928 720308660 1000000000000000000 78951724 70851212 57949022 70317222 1000000000000000000 390826183 210409192 242981220 259877537 1000000000000000000 899232791 609182021 182850305 517712042 1000000000000000000 764512106 469808504 147228150 154484083 1000000000000000000 655268647 179151140 635285066 625058387 1000000000000000000 218179657 3889186 98393745 12953601 1000000000000000000 211395187 176984442 75760766 3372233 1000000000000000000 724583600 137133530 8131111 205876150 1000000000000000000 373281187 175658118 98172011 311815284 1000000000000000000 156987200 44856736 138357630 32676801 1000000000000000000 286297938 174803518 10233306 13515690 1000000000000000000 250123886 220840336 79881705 24723460 1000000000000000000 161566657 68715279 157692282 159363892 1000000000000000000 221378469 7756355 74406861 40982227 1000000000000000000 3834962 777246 801311 1469428 1000000000000000000 91679699 11604781 70014769 63993924 1000000000000000000 169456902 18154004 25348034 59023441 1000000000000000000 758069560 558475768 695521289 523730368 1000000000000000000 48600283 45425613 4943013 41314297 1000000000000000000 859658119 558420254 255898145 279564183 1000000000000000000 670552591 363925776 56949883 439730830 1000000000000000000 39696662 270529 14949321 8095942 1000000000000000000 452453101 103721964 264630552 70697667 1000000000000000000 806760017 471409510 403372116 241373523 1000000000000000000 78358037 26452171 77286419 71698927 1000000000000000000 91605089 73464809 70300245 80258454 1000000000000000000 729086071 34258239 600865725 27215395 1000000000000000000 802200809 374122858 417067994 645330641 1000000000000000000 425384523 175593236 92423831 3524551 1000000000000000000 842244688 797902210 16198014 518701945 1000000000000000000 2271825 2245636 1675561 711809 1000000000000000000 766238630 411156003 180862518 293014866 1000000000000000000 233419377 24840554 36952917 29354030 1000000000000000000 829808799 272901966 709642763 610814658 1000000000000000000 547086835 188659719 136475300 372262987 1000000000000000000 190521112 15919040 93247394 12792507 1000000000000000000 979985766 535010274 943117718 381351309 1000000000000000000 48362997 8982263 47553652 25243790 1000000000000000000 102268716 22262812 78987025 93648475 1000000000000000000 500349455 453484990 459255913 206224191 1000000000000000000 92937801 20376718 54983362 72462908 1000000000000000000 733529300 509355601 12047980 115475187 1000000000000000000 244941862 115127325 135430964 29753075 1000000000000000000 342218032 225025335 66174892 67402391 1000000000000000000 722817586 108380733 67071018 296258300 1000000000000000000 898398896 660560503 183752011 499579586 1000000000000000000 289499530 139575230 277037586 167882176 1000000000000000000 363729627 20447954 166544676 234648443 1000000000000000000 134872196 5530207 101693297 95310152 1000000000000000000 940244529 196332189 754637383 85958513 1000000000000000000 59012343 30219181 35187247 43765701 1000000000000000000 69132539 62365505 11868767 39694145 1000000000000000000 330095589 264409512 253112961 327117269 1000000000000000000 56283141 55578949 2259923 9737165 1000000000000000000 639483616 20224267 139556240 132373868 1000000000000000000 58084592 33222113 14584848 55368067 1000000000000000000 294425177 120047134 80497681 159883267 1000000000000000000 130106837 126691460 90375328 71288210 1000000000000000000 251271413 190278079 165690828 111547547 1000000000000000000 583611966 402871535 237295828 479599617 1000000000000000000 802088175 200383139 570004616 711907864 1000000000000000000 872701742 463481470 774375966 51546421 1000000000000000000 231832271 157877875 192203197 172052987 1000000000000000000 327869843 117366160 99533908 188794689 1000000000000000000 121041753 36306386 70674692 64786485 1000000000000000000 860122694 255561334 787432084 612771101 1000000000000000000 694565388 397297165 301505410 430968030 1000000000000000000 653393564 39426616 357237636 105012978 1000000000000000000 241562105 88494431 75165427 12410768 1000000000000000000 286148215 138055969 280456154 192079598 1000000000000000000 492224437 367985244 457556117 74502239 1000000000000000000 98905124 39494259 33855965 52822014 1000000000000000000 94204562 59476874 870665 66068112 1000000000000000000 295819891 108940209 76269551 17334900 1000000000000000000 983202673 633479600 186268272 711674916 1000000000000000000 481854388 63283800 448838336 252263195 1000000000000000000 570801156 178301658 537237694 18945016 1000000000000000000 180061010 92461957 159303283 105212495 1000000000000000000 903414360 329576587 481538411 808502669 1000000000000000000 829500867 13706168 345394330 154081455 1000000000000000000 759300065 683315949 265083563 496614729 1000000000000000000 547868246 484952645 513091760 14282150 1000000000000000000 361068277 150637139 182697031 168207548 1000000000000000000 12502188 2660783 8494940 9077128 1000000000000000000 725103452 702022919 539675228 499735404 1000000000000000000 667926653 133753716 636529984 429564518 1000000000000000000 416121409 46996483 120868117 309975721 1000000000000000000 540662674 384905497 387340968 456064329 1000000000000000000 626660001 199707127 133470685 83982285 1000000000000000000 594551753 344530466 365915961 416718878 1000000000000000000 387638089 151818658 176995114 85811062 1000000000000000000 733518453 473474587 81350790 723687329 1000000000000000000 894224619 423501286 289950993 376187918 1000000000000000000 527826037 337668228 70398995 377999203 1000000000000000000 307943059 116326117 183517198 21288365 1000000000000000000 945411940 612421141 414448813 792294214 1000000000000000000 365510309 302185611 347657703 165544825 1000000000000000000 726799014 199753792 49887679 374347145 1000000000000000000 666159070 225540830 609341419 10971430 1000000000000000000 841136694 507193604 739605880 603285320 1000000000000000000 681365880 516465771 635715713 4914321 1000000000000000000 13440054 3790105 8908088 10939493 1000000000000000000 210193814 166226709 27303025 64794733 1000000000000000000 290730748 279198917 92160125 114460728 1000000000000000000 482684770 213592678 25261148 243379958 1000000000000000000 809261301 245441472 612659579 128452223 1000000000000000000 907091173 143609896 448560380 289626626 1000000000000000000 93773495 74350233 22631895 65135058 1000000000000000000 871587065 586987996 708327612 655646514 1000000000000000000 901364978 186499859 311775005 530298233 1000000000000000000 858408465 121810537 4438801 714835305 1000000000000000000 180979454 129517552 323004 106771104 1000000000000000000 986424065 181658382 245687456 318627566 1000000000000000000 972424309 691389503 142583730 861559217 1000000000000000000 180712033 166537270 114338545 81864382 1000000000000000000 667801730 27208231 249670183 646125469 1000000000000000000 731907309 665732573 528876323 250330277 1000000000000000000 712922507 93397829 709094607 123336148 1000000000000000000 997394543 794727626 870502548 339397941 1000000000000000000 196333756 164089034 79683117 37728279 1000000000000000000 521338799 434174661 258016326 253499077 1000000000000000000 925819568 690447143 282632172 573847600 1000000000000000000 926723520 383865360 376351285 140058296 1000000000000000000 940222145 787217856 348639626 913531901 1000000000000000000 200719199 176190587 170015926 121067919 1000000000000000000 537967314 51971676 131534035 459658235 1000000000000000000 73652848 49822533 34610507 73084315 1000000000000000000 492694458 280320729 9104023 99100881 1000000000000000000 3648692 2627372 3450295 413893 1000000000000000000 187937446 89058657 23728848 141628229 1000000000000000000 942151008 870179502 456837525 650556198 1000000000000000000 168075741 133360427 135633131 147797062 1000000000000000000 421594034 397950373 133172912 257424298 1000000000000000000 76088891 60851615 22710880 3662927 1000000000000000000 626202136 562131108 246869875 561648576 1000000000000000000 680582609 484040769 200589851 541655539 1000000000000000000 597408882 586381216 468009065 588856712 1000000000000000000 935537794 430109876 74375356 454283147 1000000000000000000 347311302 173281331 186317248 111645996 1000000000000000000 332378082 176142760 240297456 229282143 1000000000000000000 735941661 602618394 116601327 89326294 1000000000000000000 756125402 646947223 301646842 343291197 1000000000000000000 10963543 817397 7306936 4983320 1000000000000000000 652804448 147127375 114652400 479331485 1000000000000000000 346240764 102861776 111228485 158389662 1000000000000000000 341972682 23763675 110517172 312175431 1000000000000000000 8089795 1171391 345810 5775624 1000000000000000000 925941409 847443120 784697028 65339190 1000000000000000000 643766248 309239094 171114674 413803318 1000000000000000000 126168187 96736299 24566324 67232288 1000000000000000000 542801938 528726389 343562686 384847024 1000000000000000000 927247305 127150682 650134416 38540114 1000000000000000000 10147691 4531147 2767792 1540102 1000000000000000000 226562710 152113981 98242344 185185093 1000000000000000000 280102592 22704123 64949532 170242665 1000000000000000000 417505420 114266028 145801389 244267508 1000000000000000000 507808 103061 133660 151307 1000000000000000000 20961602 5918633 3328877 4256014 1000000000000000000 480368413 228483800 397539915 45681491 1000000000000000000 572757538 568140632 76583146 455174714 1000000000000000000 237592413 224899516 94678624 68031949 1000000000000000000 141591062 130073532 67167879 107564934 1000000000000000000 520057257 467311662 459044129 373488584 1000000000000000000 378165299 356751522 293648601 371460622 1000000000000000000 248452783 21431953 57154883 150921066 1000000000000000000 392234784 157083435 38283757 136506549 1000000000000000000 126205030 37283549 80615823 63669598 1000000000000000000 651216754 99497420 265599016 309359820 1000000000000000000 603949129 216881199 278662649 393527551 1000000000000000000 442680961 309331771 356356123 412427570 1000000000000000000 582833626 54541140 393798732 360236889 1000000000000000000 454848230 105724097 311419865 305651847 1000000000000000000 338673402 248053897 99582471 7326521 1000000000000000000 621461473 432231878 71500038 287543216 1000000000000000000 393131517 31819675 256688553 349157948 1000000000000000000 874466960 238848590 496054726 808482144 1000000000000000000 306303412 247621807 110867270 283995550 1000000000000000000 802740236 609906921 705028811 43754255 1000000000000000000 267334446 58695774 52325746 237271664 1000000000000000000 120117916 115497317 53797621 95870932 1000000000000000000 291914794 33712732 184573383 21772156 1000000000000000000 619144563 186457997 519876378 358415814 1000000000000000000 980691527 935896055 234623707 750130375 1000000000000000000 70699276 4847382 59717442 49396659 1000000000000000000 111118645 7621925 89854769 52393615 1000000000000000000 620944703 239665002 143505071 33198872 1000000000000000000 265568199 250255458 187078712 28214103 1000000000000000000 902929140 696534503 872274794 340462727 1000000000000000000 584435101 245827914 482199775 93602469 1000000000000000000 597229316 571698249 293464194 107643346 1000000000000000000 644131018 374334562 72131357 412000648 1000000000000000000 291903091 149379087 160339882 190315295 1000000000000000000 549886958 525091732 176927 362415000 1000000000000000000 137553068 131703502 41814414 9132092 1000000000000000000 41399638 37613566 31265488 31572673 1000000000000000000 84596923 12592121 5484874 82300264 1000000000000000000 336516448 245922694 233717287 73061329 1000000000000000000 897733118 173345310 793230872 880376394 1000000000000000000 954090729 604439184 668831 948332098 1000000000000000000 714632672 638861908 236810983 396697542 1000000000000000000 450041894 380206931 434958192 335247709 1000000000000000000 224395850 53078271 20163849 41688969 1000000000000000000 20764545 4795632 11379552 1238988 1000000000000000000 448026212 372579964 266949868 383280718 1000000000000000000 365648501 53873802 285225310 69053907 1000000000000000000 20734731 2364707 15650477 11009417 1000000000000000000 544452087 385086170 141855379 350950928 1000000000000000000 740767942 640308062 66740771 365822563 1000000000000000000 445641766 36308532 215547498 89044837 1000000000000000000 311430699 137629669 66841239 23338197 1000000000000000000 982946013 356434035 595055416 255792370 1000000000000000000 966992658 568228815 251469721 326836840 1000000000000000000 496825916 478852141 448960395 387903937 1000000000000000000 240327620 88375456 40346522 205200785 1000000000000000000 815014311 705396421 672389997 317915366 1000000000000000000 357934487 18526530 158312195 3874190 1000000000000000000 464643705 29085755 318701683 180679135 1000000000000000000 424312634 298194520 185484680 274623040 1000000000000000000 154278238 102557872 144097816 25445329 1000000000000000000 972126083 698363198 504002527 330434235 1000000000000000000 626667641 285958489 42418673 225706456 1000000000000000000 854415026 845002433 414313224 634641338 1000000000000000000 222978933 114208843 139153972 195049979 1000000000000000000 52004740 35173639 21022256 15052038 1000000000000000000 426144594 70430583 240425723 97758783 1000000000000000000 160537356 71521835 53030371 92169968 1000000000000000000 309441857 192537767 65035271 79890525 1000000000000000000 857076371 203837092 615780115 198369702 1000000000000000000 450468136 382002809 163234204 221156110 1000000000000000000 153713315 19655797 35996163 372543 1000000000000000000 226758847 197855717 199386945 68960407 1000000000000000000 4533908 2622322 2611180 1104808 1000000000000000000 909965328 848691113 106807623 355822523 1000000000000000000 695047602 171636057 79617669 103440997 1000000000000000000 637412557 14122630 252570334 426349928 1000000000000000000 991466245 804716629 282604209 671895276 1000000000000000000 193660129 189693668 5879115 72034907 1000000000000000000 812659650 774470961 782918715 686700995 1000000000000000000 438052235 328613932 265345655 58700581 1000000000000000000 367440572 179518781 13236925 335559270 1000000000000000000 105220434 38176147 56921844 7134486 1000000000000000000 474046916 73515203 343183593 316425428 1000000000000000000 896591783 278475311 158648509 65096470 1000000000000000000 699413979 381983983 653428695 650376738 1000000000000000000 579997776 107662323 100130802 117154904 1000000000000000000 652531643 189681774 434689322 542189221 1000000000000000000 589964110 216579725 24943804 277048829 1000000000000000000 955344241 216998204 815758425 467047693 1000000000000000000 324345609 142876695 317626322 86774660 1000000000000000000 877752716 247538569 154752460 838796149 1000000000000000000 189969730 89948955 189715415 162501516 1000000000000000000 255620391 162797006 252692909 164233955 1000000000000000000 620034795 464196106 568893682 605870517 1000000000000000000 689501732 284754737 321454014 60004242 1000000000000000000 213504739 16067499 138627089 176082118 1000000000000000000 306934870 196572066 279384835 280027061 1000000000000000000 144174306 139682378 61577704 11401606 1000000000000000000 3293659 1008544 1554314 511687 1000000000000000000 343763871 166748208 292660237 228794038 1000000000000000000 931103671 390451994 631761971 920005448 1000000000000000000 882030650 738368777 556209105 236368111 1000000000000000000 812920610 322787133 172276749 237404530 1000000000000000000 196384788 124593011 44626103 18814282 1000000000000000000 18311008 5171613 1535116 8967319 1000000000000000000 208244195 58764428 72295304 205993170 1000000000000000000 587920771 513715961 348535400 370463578 1000000000000000000 109532477 29408974 64282230 53466795 1000000000000000000 711204190 677579927 581967838 467802005 1000000000000000000 222345958 120626311 172058842 220380412 1000000000000000000 345897348 296546688 344568565 276496408 1000000000000000000 415875125 347521365 3283937 278785138 1000000000000000000 448119284 43894445 140741375 177405469 1000000000000000000 32447827 13539589 21598446 16322751 1000000000000000000 80183742 12701677 23141770 74500110 1000000000000000000 254534212 161094045 210272354 40533250 1000000000000000000 877418567 811620749 307778954 207754102 1000000000000000000 197461278 102053296 73456967 135325209 1000000000000000000 662320078 328387934 640810506 62777584 1000000000000000000 895926948 303416620 24304176 539203898 1000000000000000000 13203314 1579234 6572862 2693063 1000000000000000000 980519935 942169408 492922583 680717383 1000000000000000000 196715278 80558811 42965033 94784720 1000000000000000000 106694939 48277002 4702793 35741607 1000000000000000000 751418981 570846274 403270465 726578570 1000000000000000000 464261328 269186231 334559971 40869956 1000000000000000000 68417934 1134491 60605525 4740322 1000000000000000000 251772009 65824200 58392833 122195602 1000000000000000000 179252733 136734493 115727808 25099151 1000000000000000000 496638610 415973247 477883886 40250456 1000000000000000000 442229388 73813944 420254960 249151881 1000000000000000000 892048634 635817781 99818836 346379359 1000000000000000000 997103043 740160782 753995771 163340357 1000000000000000000 977675340 26148236 837920714 664848880 1000000000000000000 309669988 76044156 267473223 134741244 1000000000000000000 287370000 124833574 175646937 285010678 1000000000000000000 755713114 393659819 656081029 294988893 1000000000000000000 239649315 149688482 22519519 167597047 1000000000000000000 471253431 200705993 350144666 132776552 1000000000000000000 978048514 806077599 687449110 289346349 1000000000000000000 197381661 42068082 164097681 17724796 1000000000000000000 928762523 737980735 783228495 673003507 1000000000000000000 580103047 68280955 255137369 344447939 1000000000000000000 862711931 567449911 99395166 499289419 1000000000000000000 602403437 206443847 173168115 82730605 1000000000000000000 285404199 32570019 126203806 15039898 1000000000000000000 306470732 10932196 89105690 56278825 1000000000000000000 760483942 600033793 251008989 134722422 1000000000000000000 264638631 13729764 127857866 91573392 1000000000000000000 215552580 146669626 182688227 128190478 1000000000000000000 612446819 579440976 334003847 610383199 1000000000000000000 699696583 688615501 499147904 17567094 1000000000000000000 425277009 97728395 201936868 327737421 1000000000000000000 590462643 181305882 14268935 41534652 1000000000000000000 618161744 503111897 321616679 127063072 1000000000000000000 495987151 266735401 378355088 217810524 1000000000000000000 451896399 205718921 340383320 451086610 1000000000000000000 88604883 20298503 60031495 57246853 1000000000000000000 321004923 277999099 173525993 318163675 1000000000000000000 275448380 74471043 215811057 101187388 1000000000000000000 548549044 151640511 190772370 151196741 1000000000000000000 634757844 569356290 489485820 606766413 1000000000000000000 844968347 783486530 838308704 623267366 1000000000000000000 213262649 159677388 192775528 12144651 1000000000000000000 821358377 272732384 97162616 406592000 1000000000000000000 122699999 41990818 92228233 10796333 1000000000000000000 427909298 426800301 212948544 85691113 1000000000000000000 31570866 23151455 22927763 7243235 1000000000000000000 916341280 475970614 700856257 613855607 1000000000000000000 30657328 17685159 25914637 22151318 1000000000000000000 19630986 14700816 13184835 4728455 1000000000000000000 732151515 363299772 9686503 281212933 1000000000000000000 793375954 339763701 223536536 505306208 1000000000000000000 94401412 70295954 26884408 32313946 1000000000000000000 652287191 314006041 488536215 66956045 1000000000000000000 471646275 284281813 100043563 386377639 1000000000000000000 816923580 35989987 48087182 623738043 1000000000000000000 328613609 75726421 257675233 145567591 1000000000000000000 328378222 308119931 146630679 302319737 1000000000000000000 153859671 105107057 39518453 90380470 1000000000000000000 320762510 304465490 295177213 96066320 1000000000000000000 780566222 111450507 352049714 57830994 1000000000000000000 321332464 96448936 125034959 9833204 1000000000000000000 244455171 41166219 89303142 14116840 1000000000000000000 327231164 308860448 144725263 199968019 1000000000000000000 758207935 544962111 279485541 58328003 1000000000000000000 101349977 29245090 9837221 23805386 1000000000000000000 554793001 72197228 208437172 236793326 1000000000000000000 621137993 589800685 235359656 490507894 1000000000000000000 848544627 298947424 258780624 146142848 1000000000000000000 316638630 240880957 167846246 83657093 1000000000000000000 488557327 239046476 472632089 257581200 1000000000000000000 359790031 65032545 2729957 175322085 1000000000000000000 68310173 28661369 39559446 35950779 1000000000000000000 369546068 367605781 50968722 306530574 1000000000000000000 216327557 18898989 132971195 116837312 1000000000000000000 740175858 400162883 547011587 398198895 1000000000000000000 407609302 330094042 172376081 71913883 1000000000000000000 125597426 8574584 111641913 23155442 1000000000000000000 391086866 279623267 25120731 160955709 1000000000000000000 624007302 383734658 494496106 623441969 1000000000000000000 47794734 38998945 20075746 34850130 1000000000000000000 267755859 53085639 112970884 14115488 1000000000000000000 911020297 180129943 181895594 269190216 1000000000000000000 409981479 26147735 361718046 98988686 1000000000000000000 988238470 578759263 633844961 967716682 1000000000000000000 130585137 99207644 35712497 39757367 1000000000000000000 508020651 92283623 228903036 381297378 1000000000000000000 76473662 12933073 46447115 45468474 1000000000000000000 310387111 143606280 203693281 279299719 1000000000000000000 602442540 244324177 441559812 269896069 1000000000000000000 28216925 14467864 24577444 17628548 1000000000000000000 832666893 393589275 660497944 646800747 1000000000000000000 401150345 46038148 311157104 401093811 1000000000000000000 672998922 172304133 431677752 503999099 1000000000000000000 173366095 88872809 54977602 116050886 1000000000000000000 502450174 43573905 81914282 417920991 1000000000000000000 761544440 563805565 88616979 347885283 1000000000000000000 939640352 394185588 599735307 304941482 1000000000000000000 734228790 428678750 90532501 285195762 1000000000000000000 457073002 185793246 346108743 146699130 1000000000000000000 170290218 130280122 149091810 48948417 1000000000000000000 288607777 145033746 121517929 194278826 1000000000000000000 258054800 142368851 109807971 200291143 1000000000000000000 623317435 620267258 580136390 11095148 1000000000000000000 153844833 75816298 110242874 65113456 1000000000000000000 548395028 426645894 393637479 30481214 1000000000000000000 26481254 21027988 13913557 25252485 1000000000000000000 616984347 113027588 355262388 228057438 1000000000000000000 840686894 697271597 589874188 764449588 1000000000000000000 432982936 17436253 33065561 315403317 1000000000000000000 537193766 528575398 171788477 514949564 1000000000000000000 444357829 150722483 410651448 163179183 1000000000000000000 438030841 31998405 345159579 311933717 1000000000000000000 651645104 120191691 65713052 480025641 1000000000000000000 507937680 433262425 427555978 244502810 1000000000000000000 812949674 280448765 391280305 317089965 1000000000000000000 708848096 178677791 689653687 371395874 1000000000000000000 723537210 285857722 151061549 80737006 1000000000000000000 293402320 252378885 9282693 195115184 1000000000000000000 461485015 221738036 118307679 369327800 1000000000000000000 117397113 77413934 74525446 100971737 1000000000000000000 427745088 372910024 320305571 57604988 1000000000000000000 379985058 177778684 283805690 77686790 1000000000000000000 749626378 607591770 720069926 111576994 1000000000000000000 317174477 111016820 105245920 282413288 1000000000000000000 243954254 224861172 196153970 118854534 1000000000000000000 230359298 91834481 94624588 130419409 1000000000000000000 620727925 38019045 80921707 11731994 1000000000000000000 891360139 217199990 141277003 741045661 1000000000000000000 443656981 342921800 167435470 164134468 1000000000000000000 813480980 696076593 525407579 343032157 1000000000000000000 978078463 471748647 231516715 553775 1000000000000000000 496207435 175181220 358875564 172030413 1000000000000000000 152654680 114979204 136588362 121855447 1000000000000000000 729039329 426160252 447292147 639127479 1000000000000000000 787963667 416360994 152884593 38761029 1000000000000000000 786338090 730522169 629355719 748493493 1000000000000000000 897605384 349996627 585362492 732771038 1000000000000000000 280245181 175036286 189230912 231585775 1000000000000000000 397021745 16776235 66666037 234146826 1000000000000000000 371568880 132569451 195833173 119286705 1000000000000000000 66112176 26853652 34163688 59745276 1000000000000000000 84787179 41004184 71752313 62837109 1000000000000000000 154678170 121937075 416961 76322859 1000000000000000000 59778631 11526157 11538301 5088379 1000000000000000000 69154143 66080881 7251033 55499304 1000000000000000000 935042248 798365151 749931234 624373765 1000000000000000000 769087981 510439780 161693490 192512315 1000000000000000000 944010297 96680241 146060914 812023812 1000000000000000000 455710554 395738912 378518897 372302934 1000000000000000000 600569941 124712074 36132710 315237961 1000000000000000000 774911200 279425210 249547619 76197001 1000000000000000000 144481175 23604147 106996505 75616908 1000000000000000000 388680621 368026520 6763516 294685753 1000000000000000000 922760683 82608069 277593975 417935665 1000000000000000000 287580170 234408368 38549932 167459221 1000000000000000000 347681193 217821438 264760905 233941555 1000000000000000000 225044822 207786120 2493023 204167157 1000000000000000000 555098588 152014620 105376668 444198226 1000000000000000000 312168282 240246302 226348527 40269045 1000000000000000000 190445293 123540276 67233873 126448812 1000000000000000000 511896181 449155536 276421721 444947648 1000000000000000000 960329934 339359151 705775952 437614004 1000000000000000000 804457753 793764305 447442378 22954227 1000000000000000000 610786355 356074359 435943777 415972277 1000000000000000000 690024453 260542556 475727282 178735130 1000000000000000000 758278914 710765904 695751451 390023154 1000000000000000000 289788797 104052619 212624236 123964113 1000000000000000000 924356730 586039950 213291511 580815164 1000000000000000000 253089881 66262975 209660320 197781392 1000000000000000000 637211076 322344713 575507828 469515901 1000000000000000000 318205068 86957435 170035333 37582129 1000000000000000000 613900637 344942468 166657474 560351664 1000000000000000000 657025463 130615986 366845534 274702169 1000000000000000000 254627649 3173027 161420773 136424316 1000000000000000000 776595172 229641603 81618532 246146099 1000000000000000000 668713331 182890039 586842894 170866721 1000000000000000000 188320815 48018164 103808383 34542432 1000000000000000000 45199839 2757561 40966923 25092517 1000000000000000000 659767931 278345494 618794535 456415018 1000000000000000000 662366637 222391204 459206222 298922917 1000000000000000000 505454032 335253600 402209263 382069663 1000000000000000000 692165833 555279839 548666779 440196850 1000000000000000000 859066787 780813162 189503075 467729568 1000000000000000000 290394653 78974462 108663450 21702461 1000000000000000000 202908905 158196738 63885630 196196228 1000000000000000000 187327001 165699953 96393671 88076116 1000000000000000000 455997589 34778823 308251357 422314654 1000000000000000000 199230165 4195128 115145771 90575602 1000000000000000000 950866148 479691669 460161045 411189479 1000000000000000000 314113845 298151477 263869529 165361681 1000000000000000000 997512626 365100712 911636756 359505022 1000000000000000000 286999997 158668840 101566818 232474345 1000000000000000000 294561568 234026755 148019263 257963320 1000000000000000000 518577829 67444801 148651275 367574884 1000000000000000000 533257758 359768719 392865118 409196120 1000000000000000000 412147163 472936 299111870 149870039 1000000000000000000 641758986 20480622 239893815 529441461 1000000000000000000 703340948 222122664 176219534 468068013 1000000000000000000 321884358 241313490 285546329 111008943 1000000000000000000 123464 71283 24075 59891 1000000000000000000 590714647 134680815 203640377 30444343 1000000000000000000 111958522 46540697 14978785 80333845 1000000000000000000 127949891 89633684 70073123 50132111 1000000000000000000 472221669 170407316 186769740 223204467 1000000000000000000 716806852 302551471 513919883 656383993 1000000000000000000 121160970 102548877 66893635 17060455 1000000000000000000 248407042 109454324 230574689 176537159 1000000000000000000 538707895 410140103 201220060 436807234 1000000000000000000 746580045 365116139 420994507 638206915 1000000000000000000 676493158 159231939 19788279 227363223 1000000000000000000 342253560 164566136 180647716 253158371 1000000000000000000 970501280 34287613 335914352 378642005 1000000000000000000 468864671 75519907 5488270 229681429 1000000000000000000 613961256 501527604 182132338 402506920 1000000000000000000 725804219 560131919 308552434 461748316 1000000000000000000 293975600 79560417 75943408 226263861 1000000000000000000 480961776 30451452 380863476 170528191 1000000000000000000 204815019 151585155 146982683 193574224 1000000000000000000 550338696 378962048 55152646 195186076 1000000000000000000 886160305 135828129 563438703 759242650 1000000000000000000 75384756 46168914 31633518 62487408 1000000000000000000 106619055 105348061 34671043 9181958 1000000000000000000 762845023 529893270 190765334 333506338 1000000000000000000 398881546 271758817 93585934 371058972 1000000000000000000 512104847 242190856 82451492 253251521 1000000000000000000 533212155 19651467 326128951 486724169 1000000000000000000 755892988 569514980 590174565 559733157 1000000000000000000 886764646 309269178 650266099 188872068 1000000000000000000 835469782 740534822 670302523 756320835 1000000000000000000 578887933 466241093 50082633 78243656 1000000000000000000 156094148 14451008 76811624 121297172 1000000000000000000 218731587 43575184 189845950 138032987 1000000000000000000 26299200 21072501 14064715 23937607 1000000000000000000 91679054 55484233 20014811 40001217 1000000000000000000 751252798 609677224 261873388 728352531 1000000000000000000 460506390 351845313 107477295 411133281 1000000000000000000 418764677 76635863 109292885 47224315 1000000000000000000 226026272 96330301 221203707 175362045 1000000000000000000 950246842 112741146 100873749 893179507 1000000000000000000 268587037 41190799 234085711 164166264 1000000000000000000 980155371 393330031 360641667 565327400 1000000000000000000 222830262 14821912 144854046 102506684 1000000000000000000 440421341 60173417 244049873 356086186 1000000000000000000 900368911 291239583 280816379 143770956 1000000000000000000 529460112 240780925 103333052 54822811 1000000000000000000 979738984 569125500 140225849 550759742 1000000000000000000 408712831 92407571 301529088 344453727 1000000000000000000 300505881 228824805 25503777 289920404 1000000000000000000 27159820 1314966 2038086 26570601 1000000000000000000 215983623 183723202 110412154 141577576 1000000000000000000 189004533 161412742 82210014 61952574 1000000000000000000 462375967 65714721 184258251 65211402 1000000000000000000 650086021 126051037 505335101 565048834 1000000000000000000 46907530 17611298 32497287 20777299 1000000000000000000 231117361 23019765 184022582 126345518 1000000000000000000 569750004 442673809 241234349 280681875 1000000000000000000 882915330 682390676 739361250 574433579 1000000000000000000 810929459 642972271 451879849 464319273 1000000000000000000 491784468 97413542 303661214 387007283 1000000000000000000 392760758 180162809 332949072 311575322 1000000000000000000 560155121 261542083 448193978 8788785 1000000000000000000 388595021 243891126 153213068 360265662 1000000000000000000 567523735 142002266 563326611 228444392 1000000000000000000 319454055 177661356 84869608 229732266 1000000000000000000 917337787 485901928 309264394 802009613 1000000000000000000 752190942 375159599 714003592 669457573 1000000000000000000 798230774 80651930 277530344 279102304 1000000000000000000 305475483 116836574 167569202 204839979 1000000000000000000 953922598 47284951 141051619 607414413 1000000000000000000 831825720 96538964 763455441 593482482 1000000000000000000 276392977 5840999 167160249 246703581 1000000000000000000 367814478 80824245 261542346 269104492 1000000000000000000 604732814 228131402 49453520 572255410 1000000000000000000 86909575 39138051 15589457 77909637 1000000000000000000 643974847 87513679 166064534 350472275 1000000000000000000 387423253 181820436 170390861 24830749 1000000000000000000 126261074 13667563 79692162 56141897 1000000000000000000 776345337 93761666 126305915 90686313 1000000000000000000 898347751 218784409 891357381 183457782 1000000000000000000 687791341 570508766 580933513 347725936 1000000000000000000 165580537 32737412 119645155 160758194 1000000000000000000 237580676 44267285 189760115 113292801 1000000000000000000 18369819 17842073 12640183 17317438 1000000000000000000 897119457 68324638 157897717 24983433 1000000000000000000 87023928 10999524 55565509 34606894 1000000000000000000 156793192 119478127 7330039 58306748 1000000000000000000 100689607 28899680 7161555 89185829 1000000000000000000 921135890 532688637 581718479 260421765 1000000000000000000 45172082 8793556 42476144 25197676 1000000000000000000 883185093 491817615 633139096 361423366 1000000000000000000 26114656 3395781 10181983 8709646 1000000000000000000 413562298 284941453 253135778 67870316 1000000000000000000 685545528 598863427 212179642 56026500 1000000000000000000 203297869 27120591 91617063 134683233 1000000000000000000 867243340 860118678 286586251 546283342 1000000000000000000 634565212 547930702 266733566 499491947 1000000000000000000 815852407 424240947 240998271 231859046 1000000000000000000 641924418 90945040 2576266 151029023 1000000000000000000 839762369 839201920 162842828 454706703 1000000000000000000 61693997 3986075 40577681 27252591 1000000000000000000 843611014 750247580 496398203 782975980 1000000000000000000 722929181 443490967 262552838 202940743 1000000000000000000 141106559 118875307 97733079 2397244 1000000000000000000 555707603 277397977 302161823 185044109 1000000000000000000 244852406 204156731 125939424 183751131 1000000000000000000 752418364 559532681 221847157 627675604 1000000000000000000 100886040 12016354 60601661 34636161 1000000000000000000 394209894 360016156 268668688 303827746 1000000000000000000 526101829 374345698 505033385 379028275 1000000000000000000 419966553 134374037 89147852 187768355 1000000000000000000 847262597 164323254 213673609 478778043 1000000000000000000 474525200 275383926 52799285 401949800 1000000000000000000 726681593 623000645 474322749 451420093 1000000000000000000 786701850 157325963 587962787 166617985 1000000000000000000 343915167 290845592 20879155 293952460 1000000000000000000 324493367 141759241 212089366 267415083 1000000000000000000 273919169 156692077 100037280 161631320 1000000000000000000 853823822 292392994 263295421 74926642 1000000000000000000 860559247 635509167 835130765 795383907 1000000000000000000 966733600 794021945 137494916 401160059 1000000000000000000 322400354 111684526 103636702 117243116 1000000000000000000 802750522 726193721 433802624 71849071 1000000000000000000 800678717 618752935 497605420 684043963 1000000000000000000 956291575 500768493 860411846 610295300 1000000000000000000 740251622 182806977 72287846 642116290 1000000000000000000 672779385 226536401 651796279 189907195 1000000000000000000 371174959 288701877 157447053 100232153 1000000000000000000 583503415 166681809 170937636 87041751 1000000000000000000 382817574 101302607 307818699 135683362 1000000000000000000 332380005 277081580 150881628 320435952 1000000000000000000 57946037 22669559 18892912 37450207 1000000000000000000 885622512 224591764 242566069 499766084 1000000000000000000 700776135 531416541 379366197 460530674 1000000000000000000 72752007 50920559 3311989 64168785 1000000000000000000 140876498 19582481 1013547 138582063 1000000000000000000 401699065 280120193 320214884 172812091 1000000000000000000 672599117 290773423 627222740 493572292 1000000000000000000 716081630 356902848 562349661 710194235 1000000000000000000 333298034 209723179 274988374 275019663 1000000000000000000 882545432 709790695 53791959 288015614 1000000000000000000 366417824 198319357 181659541 244860978 1000000000000000000 719178544 392657579 589697870 521358982 1000000000000000000 773452171 37834296 148352095 389703093 1000000000000000000 833776806 71405289 480196985 487579056 1000000000000000000 338020756 232010 242588523 25141148 1000000000000000000 746366403 1434166 4168495 104223902 1000000000000000000 420947018 349642058 414912758 179905025 1000000000000000000 687969529 123348195 2370810 516788935 1000000000000000000 7798035 7435595 2582973 1219697 1000000000000000000 775659231 567213694 359536200 87069783 1000000000000000000 923083502 750229176 8801919 366249472 1000000000000000000 653599023 571196589 280861422 255330841 1000000000000000000 547849753 327009481 187655931 132635102 1000000000000000000 448877369 292676880 226394475 238191342 1000000000000000000 878524290 718634197 583159450 404271869 1000000000000000000 886229303 860866379 18157815 398605542 1000000000000000000 26862222 19306937 20342381 19420322 1000000000000000000 730802431 375842229 504035897 636125495 1000000000000000000 701009042 614452631 600178333 655831684 1000000000000000000 293806509 44414892 148039281 65262444 1000000000000000000 473735549 68203796 321946109 378825067 1000000000000000000 786996312 673109082 661304909 449485549 1000000000000000000 747690143 5483979 268187877 566443483 1000000000000000000 27122416 22710243 16746470 17036598 1000000000000000000 509868523 233865241 335057454 498083441 1000000000000000000 457131788 189136612 317241531 105114819 1000000000000000000 645944104 270326458 278700580 54700080 1000000000000000000 450631621 420100554 372009292 376928640 1000000000000000000 80698678 4369823 54544149 68200260 1000000000000000000 809382911 57180763 284433108 7781772 1000000000000000000 477918036 59865924 11841456 204905678 1000000000000000000 132058269 103908266 8451551 49764162 1000000000000000000 51934327 18146715 35512983 41852400 1000000000000000000 31242608 23480147 13712525 18902764 1000000000000000000 755188419 220791871 483734081 488342324 1000000000000000000 718174469 574723666 680175051 210637625 1000000000000000000 109962463 70219323 37494926 10980233 1000000000000000000 757958453 29915007 41119357 371189103 1000000000000000000 827712790 527240271 49066003 67884076 1000000000000000000 371521232 162549638 106157846 29224306 1000000000000000000 994992418 774081486 578726021 58685866 1000000000000000000 660725789 392419946 187157017 499930342 1000000000000000000 545831474 154520686 268922459 390284278 1000000000000000000 182280332 37885653 99754622 52615230 1000000000000000000 884625036 344135209 642606246 748898196 1000000000000000000 107035268 11832256 91899027 83368612 1000000000000000000 768329641 573269418 425211833 657598912 1000000000000000000 236860668 236783329 190519955 105976139 1000000000000000000 194254821 80155987 34362531 78800435 1000000000000000000 751405524 400569787 384706044 657641714 1000000000000000000 8451314 5426023 310956 4516213 1000000000000000000 95274450 93293161 58991113 5989687 1000000000000000000 263931182 95968964 187654027 235482819 1000000000000000000 521693112 311343266 399000032 53606819 1000000000000000000 658827253 334451871 409346428 314954121 1000000000000000000 989998967 317976026 419214724 817972314 1000000000000000000 720069703 267618483 445597527 433656953 1000000000000000000 177116510 134597845 19403895 114774444 1000000000000000000 648254749 425331286 233964074 545128505 1000000000000000000 253758999 88393149 48770220 242489189 1000000000000000000 551404700 516226502 98541697 406736421 1000000000000000000 107039674 94901023 15073082 80500232 1000000000000000000 401115448 10331713 107984539 287904323 1000000000000000000 150254005 149684533 60604665 62498924 1000000000000000000 381551267 126872401 285732059 92966770 1000000000000000000 478924865 56021613 477770375 159816811 1000000000000000000 658036617 438871497 465722542 483361493 1000000000000000000 252346748 150305375 233514849 60599426 1000000000000000000 581103462 285332058 165985001 141433237 1000000000000000000 58981899 18231167 51919164 53679398 1000000000000000000 940237388 280109531 448959587 218565134 1000000000000000000 218949345 145325761 113551961 122399683 1000000000000000000 62009880 19254721 53788170 2258681 1000000000000000000 744905076 618664690 85059127 492798293 1000000000000000000 518992725 347997557 91620709 451628493 1000000000000000000 210260685 175399098 89546735 165560752 1000000000000000000 282898498 188940222 195443102 230373394 1000000000000000000 390764013 346377373 47689308 299981531 1000000000000000000 365581947 157234667 48177403 57964884 1000000000000000000 172925077 38594452 13468758 84064828 1000000000000000000 333367569 86215775 283318091 230971657 1000000000000000000 724524681 116177780 266015120 410683241 1000000000000000000 520779752 432858768 323674162 329147126 1000000000000000000 422495329 225260532 11107956 355883709 1000000000000000000 990534853 716437957 916825172 424898562 1000000000000000000 702345314 582850879 532860104 344998975 1000000000000000000 912016897 176924144 321286057 113057879 1000000000000000000 412655843 74382455 273930036 72071135 1000000000000000000 544506837 373545139 83463199 224204265 1000000000000000000 152995844 148558934 63654835 125673952 1000000000000000000 937079695 838603533 629933152 770481815 1000000000000000000 747810434 114094557 639741492 97191898 1000000000000000000 333841862 20389248 221094049 249529855 1000000000000000000 968200922 563514174 889783693 42377581 1000000000000000000 367004318 126453314 352661286 169829315 1000000000000000000 303647654 173117232 13002857 62302834 1000000000000000000 585293489 570816959 140173250 254392225 1000000000000000000 475659769 286166383 403923384 72653633 1000000000000000000 497773788 3903112 59735305 107243140 1000000000000000000 654774589 104277198 76319867 225193546 1000000000000000000 497206003 362127431 337096220 449421862 1000000000000000000 940272805 393015380 280004532 24157085 1000000000000000000 728880504 183387377 374238335 692283767 1000000000000000000 219588891 189551409 7167609 70075570 1000000000000000000 5187319 879698 712647 3526384 1000000000000000000 111075544 104197031 61642963 106876728 1000000000000000000 417444961 209881325 290659104 327604659 1000000000000000000 956859581 108671351 597620824 651898887 1000000000000000000 667206544 443216928 373827517 666755283 1000000000000000000 150148957 63925732 149630459 36535025 1000000000000000000 228218463 39113765 29853115 134116740 1000000000000000000 597974881 217418146 132522955 522687723 1000000000000000000 152821099 6779106 81476881 58441523 1000000000000000000 103945071 15600947 81155487 80502893 1000000000000000000 32237857 4922658 31991223 20129387 1000000000000000000 773647761 371339131 418287202 333130023 1000000000000000000 542417078 125987855 288492107 402871660 1000000000000000000 338028924 306135123 35261931 155142339 1000000000000000000 137417163 78234093 44222886 83018414 1000000000000000000 892473292 25282110 1286424 410663989 1000000000000000000 268596766 156043696 94808620 225611202 1000000000000000000 965498754 234694263 763673537 695912327 1000000000000000000 665377209 461857147 247283166 140954146 1000000000000000000 604532325 292633117 482739025 287675634 1000000000000000000 78449473 40346541 54416375 26639202 1000000000000000000 852330640 484785231 558024891 730045166 1000000000000000000 74393588 8228847 21510697 4051616 1000000000000000000 547959839 472225585 433973148 172469260 1000000000000000000 623525408 288089974 204644239 203901738 1000000000000000000 417206046 336495837 5213328 332428414 1000000000000000000 95094399 13210531 19180257 65969431 1000000000000000000 886547662 394603135 749292958 359241015 1000000000000000000 893593052 474838749 353244011 207267637 1000000000000000000 607327810 171534619 399451788 159012081 1000000000000000000 486942812 183382695 405195627 300589117 1000000000000000000 15848429 12788628 12246019 9322971 1000000000000000000 547791349 212633414 45786212 334265516 1000000000000000000 647914905 311890432 33714923 117092023 1000000000000000000 311736106 305719482 237871695 111099726 1000000000000000000 217676964 109492733 50758806 61623807 1000000000000000000 122268274 23444634 95544679 30905730 1000000000000000000 485197754 6103375 156723959 394989093 1000000000000000000 595952649 177929258 319503937 505294867 1000000000000000000 366947456 284145449 244509775 39970479 1000000000000000000 98263998 16561861 948744 15433199 1000000000000000000 682006173 469389184 563252702 372081424 1000000000000000000 979002487 157918849 305324909 124839304 1000000000000000000 595402782 377842512 577144817 172096353 1000000000000000000 26549610 14082010 16646013 14818698 1000000000000000000 400366507 52122092 63897266 21415944 1000000000000000000 203290890 178638366 84511138 180122979 1000000000000000000 751364580 698601201 192592305 166557154 1000000000000000000 490438958 259573375 160146783 39300775 1000000000000000000 957514847 611329465 94053045 301280736 1000000000000000000 234694460 187116283 91170342 111123848 1000000000000000000 369359831 113507878 140665354 269094725 1000000000000000000 578964415 310659031 205436946 276193037 1000000000000000000 622669809 205154975 229381520 219735674 1000000000000000000 426590890 370310334 394047202 336202750 1000000000000000000 488640531 224415086 113786700 452740709 1000000000000000000 569195560 44010166 527779607 532986514 1000000000000000000 736221058 505267708 569236973 37991473 1000000000000000000 30165391 3010487 17893942 13685944 1000000000000000000 449623669 359399993 85566027 212557831 1000000000000000000 915279094 215783568 684409843 695377056 1000000000000000000 295402221 283381237 121826232 154964632 1000000000000000000 444174058 128146629 366476227 413750787 1000000000000000000 907457416 78195349 847688873 732812543 1000000000000000000 322394185 57294857 288356923 137251676 1000000000000000000 349114798 31128270 100287981 248238427 1000000000000000000 371395654 83379814 292025142 190961012 1000000000000000000 254377148 158677505 38834971 55840089 1000000000000000000 62657936 37068147 2946873 30923494 1000000000000000000 648366383 633383553 73443204 114493524 1000000000000000000 900358910 609310104 2247481 693941664 1000000000000000000 470281765 138104243 115339085 234650534 1000000000000000000 629715985 361028828 363806189 469075586 1000000000000000000 890518459 268354852 1192787 650204138 1000000000000000000 387789521 65627242 23228135 337719204 1000000000000000000 591267907 130812355 93440551 276559102 1000000000000000000 906677034 860240870 55953828 751031992 1000000000000000000 276492206 264282926 148882584 9407587 1000000000000000000 463825985 61677724 197510579 390772611 1000000000000000000 703858439 101118341 694076132 203934853 1000000000000000000 585455262 21035320 262081426 5941522 1000000000000000000 952503820 76967814 234718373 182618566 1000000000000000000 373315373 64279224 175964166 63829069 1000000000000000000 68975582 43615527 65397393 44623735 1000000000000000000 307781386 221256195 47856149 245569265 1000000000000000000 303298123 265588279 118642873 299990087 1000000000000000000 996042315 135006894 587356786 377928062 1000000000000000000 205247211 107150157 79159626 37595524 1000000000000000000 581083090 329571680 46605843 39715409 1000000000000000000 179603990 141596768 23211055 25774503 1000000000000000000 766219006 550235300 740013140 531178050 1000000000000000000 787764361 612077526 553168475 446009634 1000000000000000000 311132761 12376401 241759765 137253011 1000000000000000000 310707630 80106301 154499565 305813711 1000000000000000000 129691480 75921871 68072635 48066696 1000000000000000000 298481857 92961525 278496879 208746083 1000000000000000000 142267450 38880403 93366540 80804627 1000000000000000000 447805016 159028237 209819255 233942959 1000000000000000000 357395291 179705859 348487210 259767175 1000000000000000000 176298699 36971641 155740367 128350522 1000000000000000000 588295969 111210049 429307502 233674082 1000000000000000000 599245517 492186286 467367845 378352952 1000000000000000000 996770803 218649588 124762872 755643059 1000000000000000000 554834496 418630282 391020162 465548340 1000000000000000000 428190621 36034012 38479853 134696282 1000000000000000000 462896468 279951011 426284328 164214159 1000000000000000000 825526845 599054909 224268072 91215414 1000000000000000000 925029818 288103043 149139788 636358190 1000000000000000000 122662235 66013250 22579425 77200418 1000000000000000000 394234575 381294835 280709106 28043027 1000000000000000000 23101850 1148795 4292295 22487250 1000000000000000000 280541222 31545762 45284494 139494159 1000000000000000000 987980462 933130611 313145600 841210328 1000000000000000000 379790305 94878100 230044966 316974502 1000000000000000000 565652163 137281882 203148929 156720301 1000000000000000000 701224951 536602895 616464042 168269067 1000000000000000000 331855664 254934406 4973651 74841616 1000000000000000000 335449033 104078872 186722974 273191819 1000000000000000000 301675594 167425245 216156960 102976363 1000000000000000000 763231615 238841826 693423839 596979601 1000000000000000000 405387766 172888334 158818388 110877385 1000000000000000000 964791549 120356396 589270095 2976156 1000000000000000000 272190270 151414592 269422216 28518643 1000000000000000000 239388554 5406029 216968067 99925837 1000000000000000000 824616101 400433000 631013988 105691144 1000000000000000000 893442328 57079513 471566949 531452353 1000000000000000000 141783605 67919036 140676945 106817442 1000000000000000000 130963189 63181427 128981038 83823182 1000000000000000000 729988363 100295236 655798998 263304283 1000000000000000000 356029769 329204714 194182438 273919626 1000000000000000000 346507717 1846651 95205991 281581778 1000000000000000000 305074865 283754658 67680825 268017758 1000000000000000000 170155574 32580651 136241331 73700452 1000000000000000000 53185502 3376609 46782342 43239690 1000000000000000000 582841162 371688993 509784725 413466337 1000000000000000000 555012270 199044820 524547506 257896018 1000000000000000000 935302911 297700597 687402269 430890340 1000000000000000000 182091124 129768825 106886965 8348074 1000000000000000000 219485165 77836579 207456601 149445816 1000000000000000000 197180880 17997256 48337862 49911123 1000000000000000000 929943315 720692238 830125999 874718613 1000000000000000000 868327558 433087672 454165737 447032845 1000000000000000000 139205408 33636017 30520477 38125636 1000000000000000000 662631804 289599584 373899631 282894446 1000000000000000000 675228161 576137500 381962267 299670544 1000000000000000000 370335832 321893604 145170249 314202290 1000000000000000000 152264662 37477156 97406722 35211178 1000000000000000000 762824904 43699913 618624640 694342109 1000000000000000000 258128750 158940746 147162660 248007873 1000000000000000000 132196111 57304145 127243112 19751676 1000000000000000000 435784936 309403058 356927585 42575418 1000000000000000000 522283794 96684909 223797981 171137405 1000000000000000000 670697270 273302554 231386092 498117091 1000000000000000000 641086386 328877196 322327393 533575570 1000000000000000000 552127853 336373892 344087430 179321623 1000000000000000000 80471742 31542938 80082595 502216 1000000000000000000 345832928 54683044 298295566 51058563 1000000000000000000 999269850 947513944 182654446 701740369 1000000000000000000 268957724 8484255 112065263 128327255 1000000000000000000 299231050 94080339 181976903 246199722 1000000000000000000 30031166 11766032 3646492 4388328 1000000000000000000 885814492 741283515 125250359 551293744 1000000000000000000 555684813 510618972 482557170 182733346 1000000000000000000 870536881 75436520 443860323 142082174 1000000000000000000 554490739 503282016 431831488 248662631 1000000000000000000 100753830 27930258 83169851 22080545 1000000000000000000 526212284 331869114 479802786 315115260 1000000000000000000 692771641 555107952 550548128 108184874 1000000000000000000 739761209 696795541 307551175 433780683 1000000000000000000 722592022 52034115 618509938 524334676 1000000000000000000 599260942 275349572 219740614 284308959 1000000000000000000 421345635 139961862 284690280 33005443 1000000000000000000 60076678 12248220 12981373 4236169 1000000000000000000 992871101 528249278 261623209 402200314 1000000000000000000 128459134 14938407 20302513 5114876 1000000000000000000 576012874 243929273 541320034 268132833 1000000000000000000 581603549 578353613 205654141 349690570 1000000000000000000 416326565 365493589 139069787 211407243 1000000000000000000 602956141 266567577 175390185 443142795 1000000000000000000 40195937 22144871 17610504 18136191 1000000000000000000 463724564 186919070 197346974 87316807 1000000000000000000 953158210 827181450 808564211 816104709 1000000000000000000 574115774 345927453 482630897 321832469 1000000000000000000 3609888 3567335 49011 2199846 1000000000000000000 694741255 686878818 93574051 82995787 1000000000000000000 30835359 22064943 369068 6617852 1000000000000000000 102406456 84693345 91591975 73171191 1000000000000000000 112778696 104730201 77697707 50142187 1000000000000000000 783053963 139124140 212090847 155637823 1000000000000000000 148972645 34710116 140155266 131252566 1000000000000000000 128499482 70241645 99916747 97360893 1000000000000000000 327115124 317855375 90652547 126020243 1000000000000000000 366764830 139974031 52734514 326666951 1000000000000000000 240671121 14063912 69616020 33563455 1000000000000000000 673975186 315195637 9187056 259822459 1000000000000000000 176139074 49635701 815102 42603624 1000000000000000000 112377907 58442540 89037854 92336737 1000000000000000000 316883862 62752048 287700261 153534322 1000000000000000000 472074644 429150369 170549872 100106834 1000000000000000000 657488298 317690351 573232859 600517598 1000000000000000000 559743105 34483151 34866947 96554544 1000000000000000000 435309993 30593220 221665650 306890344 1000000000000000000 280892964 261783742 196206159 225209882 1000000000000000000 426918840 129027862 360329463 271638964 1000000000000000000 638341800 329164469 1523994 539462396 1000000000000000000 200133545 178797298 152123472 170829679 1000000000000000000 996553258 746564217 213819831 742516075 1000000000000000000 844215290 461400267 285396434 35363984 1000000000000000000 405457446 404378415 333453028 69350121 1000000000000000000 325093663 254945894 70833492 81770797 1000000000000000000 636118777 357195817 357685056 281149867 1000000000000000000 560613083 448550132 410881232 301739779 1000000000000000000 533835703 135790922 343308816 228318519 1000000000000000000 613779536 446837891 609476066 237413668 1000000000000000000 899418917 165184004 599828468 308869686 1000000000000000000 847032509 818130921 245063614 197055950 1000000000000000000 189424036 131106567 97828805 47015169 1000000000000000000 292498626 119613429 184443813 291577093 1000000000000000000 352793076 166185188 61723236 126154006 1000000000000000000 329400558 81193658 126779073 185513915 1000000000000000000 624830586 206622427 226790960 594417189 1000000000000000000 123288027 3963273 10769485 72751277 1000000000000000000 527913289 492382175 44063654 495130046 1000000000000000000 124372184 19636328 74689130 15714339 1000000000000000000 889766702 418960922 736340137 419948488 1000000000000000000 397207970 289683296 316150099 96953585 1000000000000000000 120541223 53322563 12430476 59621332 1000000000000000000 687303449 156414436 630324090 196181611 1000000000000000000 134683270 132941624 75341597 34141240 1000000000000000000 821398568 56869049 483490690 524887605 1000000000000000000 866740388 236064948 355231653 618134945 1000000000000000000 48725345 32841797 26842656 10040273 1000000000000000000 809256527 329356222 323071872 366501864 1000000000000000000 129055641 20518790 107694262 947521 1000000000000000000 641548169 11531088 330771945 198681995 1000000000000000000 161460135 2810793 87725951 160374483 1000000000000000000 482955901 435424870 372838270 3249083 1000000000000000000 789157819 499366057 228140686 624489392 1000000000000000000 590594120 347072261 361109119 399121267 1000000000000000000 581664030 399478068 549466941 541962972 1000000000000000000 249347901 50619215 244286240 118566309 1000000000000000000 384538377 109323513 369668703 162338103 1000000000000000000 923766347 576561941 137400216 350477706 1000000000000000000 658679025 298773017 345050278 60375106 1000000000000000000 865034792 155586013 376127450 332454549 1000000000000000000 528229257 80268435 104403436 200675455 1000000000000000000 185435773 94562164 125745401 49252851 1000000000000000000 738792268 529408364 473753598 83586254 1000000000000000000 532218399 312300142 81694857 251919139 1000000000000000000 189498104 41430989 139888542 139554822 1000000000000000000 520348043 466483328 209976624 105460424 1000000000000000000 954250445 330330619 214577662 866080631 1000000000000000000 59340290 11112909 39834823 9415446 1000000000000000000 387417687 172889830 380692419 63021652 1000000000000000000 730366750 11286900 259600170 554423586 1000000000000000000 410128247 306894910 8499514 300317021 1000000000000000000 644542973 21429983 441134528 501743309 1000000000000000000 317701816 157324341 72025595 186824004 1000000000000000000 40411729 14792809 33505608 37302394 1000000000000000000 689305408 408882801 140458331 637195751 1000000000000000000 597619211 124598508 88445544 138819677 1000000000000000000 597551316 313942340 152715672 193637938 1000000000000000000 994593576 123357527 502733270 381014920 1000000000000000000 619171589 602419693 151149737 419888284 1000000000000000000 483041651 271995762 45424014 354861335 1000000000000000000 95814853 92569688 610769 75375875 1000000000000000000 796098827 345899811 392082169 210999660 1000000000000000000 189104035 120308225 34178654 160545093 1000000000000000000 667187686 210239292 189729629 479041174 1000000000000000000 431598811 287050292 18194893 139256359 1000000000000000000 345334468 252568781 54715281 70470698 1000000000000000000 78580094 54335592 29438300 59767979 1000000000000000000 745335035 396858222 701232 634972032 1000000000000000000 386705544 79862775 232840041 246567764 1000000000000000000 13386382 3172752 3687790 3461668 1000000000000000000 30898459 14312172 15555733 9417336 1000000000000000000 274535216 37793091 154177228 70669627 1000000000000000000 269813242 50886975 44426149 63655606 1000000000000000000 898619697 219491227 34806771 865520593 1000000000000000000 32483237 11096107 117948 5784009 1000000000000000000 338476093 55844584 307321601 129980635 1000000000000000000 641499808 542807121 471134361 516677648 1000000000000000000 345458584 216768691 16938620 268253204 1000000000000000000 521913310 439721920 256580402 245953345 1000000000000000000 739943125 40122402 629045004 575085291 1000000000000000000 141354691 43476407 78233848 23567073 1000000000000000000 152295994 152219270 59212932 127800942 1000000000000000000 892747776 839168583 641169892 232980773 1000000000000000000 677430042 624047198 370115836 55147194 1000000000000000000 807178944 771714950 672927859 241126306 1000000000000000000 170057696 169024889 74603362 47090857 1000000000000000000 2503192 2344902 1652244 184709 1000000000000000000 577057068 491619693 277309372 575605125 1000000000000000000 859191649 762684585 248234944 21446833 1000000000000000000 429353195 4757358 215391195 313444325 1000000000000000000 543490002 422933671 317217707 85924475 1000000000000000000 156570890 69281755 55505093 132388550 1000000000000000000 224144881 44714404 212205512 102167802 1000000000000000000 354184251 72917610 86160304 227751116 1000000000000000000 313197420 215954689 66514517 38503197 1000000000000000000 174063049 103971323 120774857 17489699 1000000000000000000 822181701 138136497 231561086 724319796 1000000000000000000 11779658 2863295 5399779 3437522 1000000000000000000 603487186 82377453 560145961 25783386 1000000000000000000 49031660 48793300 23520748 15823501 1000000000000000000 475735243 87811649 179608010 369119677 1000000000000000000 267416417 125616760 188809312 10162449 1000000000000000000 288662446 30784687 148134894 178552301 1000000000000000000 137160695 88767358 110554817 55582724 1000000000000000000 10562331 1006311 2995628 8584191 1000000000000000000 723299494 584327755 303533173 441772797 1000000000000000000 358313680 200011569 29492290 44274327 1000000000000000000 520249543 368090397 47964395 188711764 1000000000000000000 58033410 23842390 54007792 1358653 1000000000000000000 880968757 735482033 621644950 765067096 1000000000000000000 817122206 302456593 113953224 77456145 1000000000000000000 392740416 230864405 194391748 140990914 1000000000000000000 421604819 291726387 120723891 383574464 1000000000000000000 177587090 98913832 12241582 56886451 1000000000000000000 679899079 471277590 81460929 270708229 1000000000000000000 100365614 75551221 5365455 75443676 1000000000000000000 209318459 92726014 54480747 125293229 1000000000000000000 151685735 28837846 123098381 7219897 1000000000000000000 364582415 238915180 53637898 131215129 1000000000000000000 183756026 31221173 128685840 111653476 1000000000000000000 323861113 224371776 46316948 59329615 1000000000000000000 877777446 285642477 194321272 669430735 1000000000000000000 131845142 104651099 77333532 25223065 1000000000000000000 962475410 525053699 535385926 223056684 1000000000000000000 723533176 603741808 663977479 493588243 1000000000000000000 700099330 252915891 671007848 58766414 1000000000000000000 676318860 241089046 126850592 499814611 1000000000000000000 163511513 79842439 85656724 36554258 1000000000000000000 498832770 225334504 337663378 487855104 1000000000000000000 338646854 48672453 80722005 199570157 1000000000000000000 581378906 239771623 31371803 369286721 1000000000000000000 743831310 123365641 508309287 643621198 1000000000000000000 391435742 371782248 73497429 296712115 1000000000000000000 99389578 33355357 72688530 5342455 1000000000000000000 971625165 617584954 581519677 358035170 1000000000000000000 482819271 229288697 171104544 236366904 1000000000000000000 671578660 627729116 128144140 660299648 1000000000000000000 392006953 246216166 39289599 254391949 1000000000000000000 939944837 200567622 933478490 698131641 1000000000000000000 596337927 312563795 258676323 558061438 1000000000000000000 475461818 258019242 92452765 426498484 1000000000000000000 99738166 13683519 8161891 99012516 1000000000000000000 247873444 245198316 127235444 67336034 1000000000000000000 89670577 24354574 24793722 52068967 1000000000000000000 233908788 48398165 195646791 53643733 1000000000000000000 434919237 173130208 336290386 332750514 1000000000000000000 85308354 63927972 84783793 9777423 1000000000000000000 561477841 544400289 201249991 5173598 1000000000000000000 576124741 575564677 465875154 546422304 1000000000000000000 177747036 108354137 135097899 91573313 1000000000000000000 204607243 135071178 156251800 192585335 1000000000000000000 586936616 66065944 66921484 184462823 1000000000000000000 908696557 858116912 108252001 640520747 1000000000000000000 746024854 545769040 270187855 95297091 1000000000000000000 290295555 252547975 224955408 246817943 1000000000000000000 47757513 291424 30039345 6911765 1000000000000000000 50496896 25168614 32059620 19133031 1000000000000000000 103645268 11588549 95674997 56589343 1000000000000000000 545161191 171673276 320065502 388638905 1000000000000000000 525350589 235917736 61182318 369395358 1000000000000000000 649433435 306755717 318437232 524814969 1000000000000000000 506003929 318884426 69222551 296835300 1000000000000000000 706271493 506200676 385373604 297546 1000000000000000000 882105851 796910369 764135559 632267796 1000000000000000000 598825707 61083029 466917811 473182075 1000000000000000000 995806054 752520559 133391194 332644005 1000000000000000000 733522497 119314310 487796544 22589451 1000000000000000000 996503307 32338755 524653439 251593686 1000000000000000000 965935289 133575885 835447840 315437152 1000000000000000000 306412315 42056133 292941605 289439333 1000000000000000000 572619442 60417892 75153267 36098969 1000000000000000000 755356255 648621424 37206718 672070090 1000000000000000000 146915780 64460024 87723494 118170600 1000000000000000000 480329194 317846493 202404800 479803823 1000000000000000000 99196275 21202679 26303656 36315772 1000000000000000000 758593848 470925766 259933806 317619731 1000000000000000000 697863215 131225223 672989618 267687801 1000000000000000000 760814513 52343422 590124576 276329739 1000000000000000000 232071042 34255352 47975214 153454439 1000000000000000000 225759192 101691540 171124584 98651160 1000000000000000000 157842720 94245632 93459467 103047557 1000000000000000000 207756814 125486454 21992772 165863289 1000000000000000000 910166823 771428376 658283327 541646619 1000000000000000000 170576423 118752554 77251639 69513031 1000000000000000000 384068493 93902855 348359444 347302465 1000000000000000000 651441015 418236264 78180101 366818122 1000000000000000000 567940757 551241542 360080597 519076796 1000000000000000000 177101983 59896730 71533668 120285305 1000000000000000000 355598546 101570937 203820373 247523956 1000000000000000000 591654730 568186012 298923099 307943360 1000000000000000000 328155621 283240506 176413998 252055824 1000000000000000000 547368230 524766851 81758717 191967342 1000000000000000000 14346275 13304242 13793489 6396718 1000000000000000000 226990807 117106719 118028463 201541819 1000000000000000000 557257273 354221136 76723554 171568838 1000000000000000000 215401681 165320514 10090124 157225425 1000000000000000000 988919535 406797356 383638003 781795520 1000000000000000000 867376777 365552188 426087360 13420136 1000000000000000000 349599389 343923089 250989883 23191509 1000000000000000000 120010835 52984140 43591655 24870448 1000000000000000000 752465227 57776415 301984920 617351177 1000000000000000000 892815317 565896394 620123491 442876976 1000000000000000000 230720437 119909300 224451896 7300919 1000000000000000000 833863898 253555122 18794893 731419384 1000000000000000000 381750806 334208138 313161029 353686895 1000000000000000000 89402229 34211140 32861129 50317861 1000000000000000000 791169956 46397670 463167969 602988224 1000000000000000000 755602782 694473361 142443875 57645103 1000000000000000000 275414811 248207210 40511524 188317314 1000000000000000000 97916535 2621830 42370496 15273182 1000000000000000000 490538086 50845735 316415307 74198222 1000000000000000000 872540432 155574325 854305441 703034097 1000000000000000000 977813700 875514717 347765459 714126224 1000000000000000000 558228913 218112314 558078172 286920822 1000000000000000000 145916090 14744132 93888257 88867128 1000000000000000000 672081673 451832082 535996374 133793537 1000000000000000000 659419003 610972552 175635771 221710434 1000000000000000000 856197488 68089365 145745303 124403504 1000000000000000000 879578052 255607415 292219155 864201398 1000000000000000000 262286961 82379612 7170659 152721006 1000000000000000000 446495740 427217813 45936882 83537050 1000000000000000000 883220741 591843309 634734871 35479565 1000000000000000000 460373639 188151966 134532593 296700781 1000000000000000000 537960311 521540325 250438282 38638844 1000000000000000000 57789497 1974180 23588774 8745103 1000000000000000000 562000881 474586669 518900687 524907973 1000000000000000000 119420792 38304652 109851490 75154113 1000000000000000000 632325978 335035227 579263575 29098711 1000000000000000000 638334416 97848605 179319915 376336111 1000000000000000000 849828089 452559915 777206026 390540426 1000000000000000000 316741206 279109047 144466727 95217142 1000000000000000000 967848319 341266663 688495075 425435047 1000000000000000000 92037801 49832461 61676410 42991717 1000000000000000000 192079792 167250214 49191121 12915983 1000000000000000000 772803674 752153786 320630475 583326641 1000000000000000000 550808142 374795640 321742075 241180772 1000000000000000000 38007791 19922379 9506495 15640393 1000000000000000000 969909575 938823362 695148642 531513587 1000000000000000000 777202396 257331409 343346237 523277024 1000000000000000000 643955430 35222253 105797886 52652252 1000000000000000000 30579438 21892436 10711982 9810267 1000000000000000000 379892353 89173587 284005496 299081575 1000000000000000000 626116909 106470063 449163483 555141317 1000000000000000000 227408178 18020390 40148964 177372158 1000000000000000000 865178254 519851834 561033331 133836222 1000000000000000000 800954454 388818067 433167263 247432081 1000000000000000000 908150116 873831118 539871950 751896390 1000000000000000000 785598592 651850199 735768704 603448165 1000000000000000000 442849467 98452060 338907682 418206706 1000000000000000000 183194562 126228700 64789796 110895801 1000000000000000000 427554678 69495349 313864693 118179142 1000000000000000000 12642272 8041351 7031019 9596051 1000000000000000000 414826043 246026060 207606208 153182539 1000000000000000000 702288102 40973441 595044234 261541333 1000000000000000000 928690511 147244603 415943280 190361284 1000000000000000000 322838612 247194006 89254477 168270474 1000000000000000000 169577626 119340991 129134198 66749972 1000000000000000000 165023339 13636335 17731457 18327693 1000000000000000000 342772548 213520519 24691918 131095114 1000000000000000000 408069041 286417427 154490457 228949370 1000000000000000000 722013088 352946875 539360057 521869339 1000000000000000000 134229281 105786191 100026130 41345100 1000000000000000000 903800720 224035545 503498548 524201054 1000000000000000000 448278142 74768112 202146461 442973023 1000000000000000000 638297928 550970029 600215782 195122372 1000000000000000000 757912312 238147447 606754581 331992628 1000000000000000000 297088956 109165164 236072655 269863394 1000000000000000000 236130388 184586232 17655092 50950075 1000000000000000000 329167058 288536545 39537811 272498086 1000000000000000000 987345102 225844111 88835765 226050239 1000000000000000000 272636353 172368668 223166233 3759592 1000000000000000000 276470562 189234800 1926409 204615616 1000000000000000000 369723047 105763303 198272035 302863571 1000000000000000000 2021591 389880 279429 799745 1000000000000000000 729618288 202589052 430348336 330512036 1000000000000000000 610961209 376340044 414910499 360028732 1000000000000000000 261630260 44106570 26786259 20596593 1000000000000000000 864723185 413740316 133645272 455686205 1000000000000000000 216460066 199297718 29902559 155018635 1000000000000000000 383080212 372825535 126336831 210842245 1000000000000000000 282318170 113906191 52692212 279392459 1000000000000000000 883339042 826706931 401563256 577983008 1000000000000000000 877389641 624116564 817197353 274109701 1000000000000000000 796377840 682631453 295039289 620064753 1000000000000000000 341239668 73898485 98004900 172883725 1000000000000000000 295389513 31672742 115942472 44083724 1000000000000000000 397080118 109966287 317263867 16131767 1000000000000000000 785273080 609318543 140964058 234172899 1000000000000000000 233184617 116219245 139628715 50113692 1000000000000000000 217170041 67311151 125834427 86019601 1000000000000000000 716037476 196041507 707592819 305004351 1000000000000000000 226275757 150615134 121648644 81355804 1000000000000000000 250959423 217283083 248009199 179234524 1000000000000000000 40893083 11530776 36833565 28774802 1000000000000000000 60073513 5524926 52472621 18428203 1000000000000000000 792729457 452738823 566109370 703844217 1000000000000000000 467993663 22856273 466229571 457968827 1000000000000000000 168648950 23015762 62126294 22158822 1000000000000000000 260805494 208896515 88369604 130849012 1000000000000000000 143357562 140544540 131966000 29032867 1000000000000000000 169442656 30981099 130659590 99236090 1000000000000000000 688527300 72372758 316331707 332437218 1000000000000000000 664814826 279095055 564126711 624555714 1000000000000000000 537510610 199236989 236196921 84852848 1000000000000000000 379428604 319299761 45359591 33661781 1000000000000000000 838820562 28358668 556771835 786110031 1000000000000000000 291156845 208360929 40201624 169226781 1000000000000000000 368202011 297142509 341726232 189902929 1000000000000000000 45795067 28997165 24384744 29149104 1000000000000000000 289093172 125531651 23110592 241427682 1000000000000000000 675846937 94764923 449412944 173390929 1000000000000000000 215071707 35363113 146792051 61615139 1000000000000000000 606837916 518472546 253893976 432764710 1000000000000000000 45609653 5850774 27118055 36755381 1000000000000000000 223349493 145505957 155584960 51174945 1000000000000000000 341369021 118948363 54017033 329248263 1000000000000000000 451695190 338934722 413352803 385031440 1000000000000000000 734040248 19741148 103675295 455691865 1000000000000000000 647681226 144653666 457600423 140967962 1000000000000000000 169553861 101991320 35832944 148314624 1000000000000000000 131581228 61812347 77454175 69426366 1000000000000000000 879640541 223933523 108572964 247800426 1000000000000000000 282801065 91921083 164333167 140030642 1000000000000000000 981552289 241055497 310632156 46521691 1000000000000000000 11714681 8365139 5774953 4131347 1000000000000000000 349591199 204371151 78923643 328477467 1000000000000000000 36233436 278773 30940951 11464445 1000000000000000000 749044149 656948594 613344653 212407194 1000000000000000000 70779446 32423378 34493967 48070870 1000000000000000000 990305022 130981567 427443267 918403617 1000000000000000000 235551608 142372009 202327778 104881346 1000000000000000000 994091745 588747538 653498238 145851643 1000000000000000000 828488064 364661663 609000705 707067275 1000000000000000000 720159403 618849443 626660724 625661179 1000000000000000000 374409474 306602324 327735450 110389610 1000000000000000000 661522464 245297755 526461624 592401047 1000000000000000000 765972343 12558858 601110744 644222009 1000000000000000000 382713865 65435036 162813116 100734996 1000000000000000000 555642083 457316733 107815477 513081320 1000000000000000000 380323509 21351519 210451652 209721485 1000000000000000000 648327595 187423918 476204940 142066584 1000000000000000000 615130066 399198932 519090999 184585194 1000000000000000000 348246709 109061719 70734734 301234528 1000000000000000000 975481496 831218234 811105951 219775767 1000000000000000000 841574122 3717368 75578451 684438531 1000000000000000000 753352739 601631002 158968059 497508386 1000000000000000000 194266360 52330129 183186698 124814715 1000000000000000000 370536177 267165059 102358350 304951360 1000000000000000000 652819782 73015652 507796630 512451961 1000000000000000000 846787044 584263705 510785651 424570302 1000000000000000000 411125024 124504709 267164455 25257278 1000000000000000000 859924483 529753368 728970384 666715269 1000000000000000000 770808515 137708469 754803194 615331579 1000000000000000000 708034857 27207624 95640974 572603376 1000000000000000000 395167039 198707601 234201172 261274086 1000000000000000000 332450438 148139327 202060673 119121862 1000000000000000000 437882667 320833852 393807136 296760374 1000000000000000000 799666312 274841058 502347216 273416537 1000000000000000000 841544998 582720309 602991848 479543487 1000000000000000000 310083023 231845812 258782509 68198653 1000000000000000000 576232294 504445335 404280201 481352641 1000000000000000000 379886447 162366838 4030167 107331713 1000000000000000000 880541224 866716254 537847144 624694704 1000000000000000000 396570307 322082375 395826440 169339859 1000000000000000000 751526991 62720098 436241123 737501367 1000000000000000000 427893383 359382662 77183586 424879536 1000000000000000000 878994100 280269625 317424574 602351203 1000000000000000000 29594776 25705026 11443635 24264749 1000000000000000000 855323772 739947969 819084522 54789964 1000000000000000000 628936274 30693435 294923693 124687604 1000000000000000000 889944167 514732831 290908524 312110195 1000000000000000000 8432705 5567542 2445188 1384984 1000000000000000000 739320921 398157342 3927994 54462421 1000000000000000000 699700541 311424854 495934157 547567146 1000000000000000000 603662012 129672350 55670999 84648712 1000000000000000000 688073152 574078926 179422439 31898011 1000000000000000000 132203649 97097769 11706383 55187361 1000000000000000000 891036317 564104986 871302191 738850067 1000000000000000000 908243650 732028623 536271138 44350095 1000000000000000000 579973194 118833606 287016084 134675380 1000000000000000000 365416767 303151827 263778104 230784345 1000000000000000000 76289146 32809572 24412998 866809 1000000000000000000 505206719 225294734 126970490 364748192 1000000000000000000 339384256 197736717 18015276 33969480 1000000000000000000 273223783 205214175 25644082 265390445 1000000000000000000 743878069 55219155 361516318 146229067 1000000000000000000 600361274 84975859 495521001 42083069 1000000000000000000 775368118 517643336 269428130 638833069 1000000000000000000 443637279 349031993 367758431 257368942 1000000000000000000 138657073 116027167 27975272 137743637 1000000000000000000 962272824 958869377 15301177 500172405 1000000000000000000 930545251 337017216 324397457 451310457 1000000000000000000 333589667 223454103 165441732 45744129 1000000000000000000 284585073 143111332 157639398 46432103 1000000000000000000 402996268 161069574 154904142 148868634 1000000000000000000 823794412 806080016 320174745 763182171 1000000000000000000 186238218 92364734 165706973 21493790 1000000000000000000 179118104 133853433 95883672 30056943 1000000000000000000 767619015 222526718 545916318 367475754 1000000000000000000 156081206 96054481 78685314 940605 1000000000000000000 454474082 224366891 123299809 267105026 1000000000000000000 498974903 80745990 138298462 21885776 1000000000000000000 337580290 210578942 260093437 8340987 1000000000000000000 223727531 139025040 87479505 177032110 1000000000000000000 172029898 102329339 116056523 4617077 1000000000000000000 286080756 267625909 79673964 39540298 1000000000000000000 485849903 17547199 288133668 363756277 1000000000000000000 591367297 109410152 376929631 533052746 1000000000000000000 763474929 313458025 303995011 639385143 1000000000000000000 669413574 243266357 202218854 347871058 1000000000000000000 397819552 152434290 22334718 324313751 1000000000000000000 6113266 3745702 3726857 1946028 1000000000000000000 413614881 167805991 16749312 42419122 1000000000000000000 870057569 101117031 376116293 711459747 1000000000000000000 865886399 650951083 614869698 763508279 1000000000000000000 746919982 682242059 596921669 87231778 1000000000000000000 411139475 366985622 217418057 230916767 1000000000000000000 368521358 267415112 180706170 170261346 1000000000000000000 109618925 44578830 54672024 66593591 1000000000000000000 137009991 117633510 93873578 90981149 1000000000000000000 37230600 18475401 27354227 20233845 1000000000000000000 67723730 48304036 39752161 43495351 1000000000000000000 389502501 308055615 371132057 230954332 1000000000000000000 69755988 58402025 2573620 51497269 1000000000000000000 345388349 175300021 58232690 96746155 1000000000000000000 500600405 271345011 310997702 286014342 1000000000000000000 742263229 110629889 327033436 446081560 1000000000000000000 631153151 575180496 196807437 139849630 1000000000000000000 850838054 583306408 428175762 749027770 1000000000000000000 118319019 116904191 11766739 79115817 1000000000000000000 313121525 80009747 118053673 226428001 1000000000000000000 766748280 500062123 304996509 13858590 1000000000000000000 677516316 234925998 589688953 295779312 1000000000000000000 928913792 432510127 791481585 601360743 1000000000000000000 304421245 152627184 244059832 54919989 1000000000000000000 182352696 38638245 165303787 84426679 1000000000000000000 702982625 17213823 198541064 268066133 1000000000000000000 650167333 545205523 549599652 58908511 1000000000000000000 895371081 882020968 582960161 851415852 1000000000000000000 904198044 152699389 376019003 397998353 1000000000000000000 463304655 167462854 374620039 362123308 1000000000000000000 395326668 47477054 1855319 269659875 1000000000000000000 254475992 155040216 143163686 144798959 1000000000000000000 777908570 50202168 430976589 224785806 1000000000000000000 454259805 136564359 417223811 309846299 1000000000000000000 649454242 237426769 216821654 288985831 1000000000000000000 262518481 41619425 117232664 120241197 1000000000000000000 808487497 70805763 803257845 220710070 1000000000000000000 468151589 199082898 52015269 273965912 1000000000000000000 154273666 134621702 153338907 103744379 1000000000000000000 309971164 76804656 203147075 170265349 1000000000000000000 81926833 18215098 46178918 60302777 1000000000000000000 477288607 35079253 295204850 101995713 1000000000000000000 597139175 475021445 354325255 54732277 1000000000000000000 946810767 254150403 421951250 726876458 1000000000000000000 865698200 710063702 181956954 272332435 1000000000000000000 681777218 654208257 148281437 142394031 1000000000000000000 42007396 7717149 33004631 30453099 1000000000000000000 975631200 411106659 736064089 874460171 1000000000000000000 917751935 312031151 551842065 424274983 1000000000000000000 758458500 150523286 673582509 735710205 1000000000000000000 960455468 253047047 856980367 543585857 1000000000000000000 38487032 31634838 15459615 25152577 1000000000000000000 655856433 353143287 466382932 624063344 1000000000000000000 787647654 497169858 253367870 654450980 1000000000000000000 744139073 698666920 611693843 602856540 1000000000000000000 890608968 83426729 301074685 454451931 1000000000000000000 64856604 62486094 2968040 59939684 1000000000000000000 18099293 4416061 15040602 8917649 1000000000000000000 106314730 8139583 99115372 43155924 1000000000000000000 779655830 236052864 357834285 672018104 1000000000000000000 216452268 4954821 174501707 7888553 1000000000000000000 823039916 640810299 311783705 299430606 1000000000000000000 33820469 11467545 25944159 5639853 1000000000000000000 634588015 383033528 315705106 255509390 1000000000000000000 15108930 1362528 14672172 5639706 1000000000000000000 428177168 414987819 239097554 420611029 1000000000000000000 209560657 106635359 33142680 136158284 1000000000000000000 486850293 332176983 369840594 310413680 1000000000000000000 81651970 28286447 30003641 71318127 1000000000000000000 239139669 138455474 25526885 32939364 1000000000000000000 616581389 192433102 353844111 550194923 1000000000000000000 18014880 10218632 861815 14682995 1000000000000000000 526828311 411368181 61186386 219243162 1000000000000000000 936646261 242348540 496282486 67374327 1000000000000000000 257159012 151603867 20833610 244841777 1000000000000000000 173465397 13997441 39589430 153878455 1000000000000000000 718997895 515710553 364371899 305738350 1000000000000000000 476269885 258961253 425254811 145867792 1000000000000000000 459297233 423329320 25399014 157851398 1000000000000000000 576348930 149505816 437635409 387661119 1000000000000000000 417263786 386914539 279601422 82198496 1000000000000000000 310373868 303985714 290199576 303765442 1000000000000000000 377452582 8984643 50581225 125094848 1000000000000000000 343733888 240826385 144501319 129243246 1000000000000000000 340865709 229516048 171175102 121575691 1000000000000000000 921528242 570566116 460516924 404862882 1000000000000000000 899731901 148712422 504728218 143761561 1000000000000000000 788835195 149993452 226760325 284609780 1000000000000000000 666125958 97848429 31456681 474671756 1000000000000000000 489753887 342810017 112309905 63525486 1000000000000000000 620843327 206743985 349364832 201375057 1000000000000000000 942938070 774992 54048742 640025223 1000000000000000000 508395730 391928916 350326632 286002636 1000000000000000000 918393675 610312364 199810863 425529508 1000000000000000000 880472382 491063791 409796351 320349978 1000000000000000000 433343609 138323271 113584083 201146882 1000000000000000000 201376964 182906460 170934710 81601186 1000000000000000000 872763969 297145634 413597267 17979680 1000000000000000000 102489767 56583297 23827439 96629011 1000000000000000000 669860857 437120533 261487621 355800887 1000000000000000000 752145207 264201226 549586092 181415388 1000000000000000000 247086254 42846815 111750650 139200688 1000000000000000000 153504638 27855091 21627935 26130720 1000000000000000000 931175681 829551225 322440184 875004557 1000000000000000000 701106712 572124945 559048932 528227006 1000000000000000000 506594875 281204384 205587255 337003759 1000000000000000000 863577989 788328603 10564952 72446719 1000000000000000000 501749051 363746475 18088059 377961621 1000000000000000000 860987235 845086296 665062788 638383062 1000000000000000000 400581187 381214397 81499428 57434036 1000000000000000000 995673056 759953654 70410061 240174920 1000000000000000000 118657523 55380680 24080395 46878776 1000000000000000000 607078046 596390753 232290203 42416392 1000000000000000000 931380352 260286233 378744263 551771832 1000000000000000000 920053425 374242155 304053299 359400105 1000000000000000000 588308606 284279772 401707315 159494717 1000000000000000000 997664660 900116395 804206998 456569177 1000000000000000000 618692050 537061187 81644619 107829132 1000000000000000000 300599263 52345928 103309937 255906581 1000000000000000000 114668998 96521240 53382598 48082632 1000000000000000000 846648774 61549560 1985725 125776435 1000000000000000000 439038614 335676981 331283401 128289324 1000000000000000000 848989682 834219864 92277059 80157136 1000000000000000000 392617018 344735632 283698167 344226375 1000000000000000000 601936092 396914748 160799962 125489363 1000000000000000000 254870399 249209869 64985548 233104011 1000000000000000000 834488169 144924155 815003838 532083192 1000000000000000000 497315783 144237041 75278480 59908408 1000000000000000000 654877223 577447708 304121953 652881741 1000000000000000000 296805743 124749442 117375893 219893829 1000000000000000000 60828142 11977151 46776551 37447608 1000000000000000000 205315052 200562811 140330445 35044198 1000000000000000000 247373752 206959020 47183648 174204837 1000000000000000000 586781174 531805491 301580437 495473124 1000000000000000000 594454222 106714135 332630319 506132160 1000000000000000000 291542992 128066307 257400869 223107153 1000000000000000000 984591864 75538780 886060599 456438521 1000000000000000000 487602044 262944652 106454559 172387127 1000000000000000000 877468411 93485887 766967196 98310352 1000000000000000000 730093768 240325767 603067673 683763683 1000000000000000000 514247614 34870915 474874464 281643057 1000000000000000000 604103455 97877101 295965373 508330469 1000000000000000000 739098297 670917268 543371054 538583635 1000000000000000000 650905593 569780733 177385388 122757080 1000000000000000000 805774373 27356004 385513136 78958991 1000000000000000000 5024932 3138013 3891830 242485 1000000000000000000 570803358 161555252 493156448 515059370 1000000000000000000 672525738 362334497 195399315 373188691 1000000000000000000 874883113 658516570 116554955 829997569 1000000000000000000 766972512 162214663 591403347 196132016 1000000000000000000 155262996 135044391 103605385 24061989 1000000000000000000 894770038 662470696 107233247 728351343 1000000000000000000 749333817 454588913 693324780 396605361 1000000000000000000 407157705 366186503 139561631 242557351 1000000000000000000 996234928 638904843 959804089 331091714 1000000000000000000 463484663 67968107 57756945 139708275 1000000000000000000 828705367 532618334 139627550 554843815 1000000000000000000 177831460 70870393 85346220 23836689 1000000000000000000 945736918 929843323 330505388 219195977 1000000000000000000 296792393 95050123 284375182 117877291 1000000000000000000 352654359 147939299 66302689 261094785 1000000000000000000 510692089 334921576 486993442 358009090 1000000000000000000 652341664 606235191 540789068 9249545 1000000000000000000 863159690 205789296 553959639 643458335 1000000000000000000 622910784 154041829 402335677 506983998 1000000000000000000 803774068 219369333 276007275 702069046 1000000000000000000 688404914 311793713 491720965 572539486 1000000000000000000 775019310 239790916 258141162 418132436 1000000000000000000 558009469 553229308 365114713 392021608 1000000000000000000 250640058 228882195 202860887 245221906 1000000000000000000 726900933 419016811 27472631 415781376 1000000000000000000 995260101 358086667 602544719 512449878 1000000000000000000 790888307 691166801 507009472 515454308 1000000000000000000 299593749 234526742 47023687 210433306 1000000000000000000 216478640 27930628 160397312 118176830 1000000000000000000 382957851 23984624 177031342 345584523 1000000000000000000 357239296 144299401 155289095 295557942 1000000000000000000 283670764 129163961 71081609 22112695 1000000000000000000 11196474 53803 4028661 8185939 1000000000000000000 4864992 1511810 1456328 3013948 1000000000000000000 451889886 92631258 39289583 413770551 1000000000000000000 518405301 440603631 239117904 209447932 1000000000000000000 899413946 688770257 773041028 485348045 1000000000000000000 928216979 251433380 726003126 488113010 1000000000000000000 186002517 182359259 72771920 70992695 1000000000000000000 662966796 365106006 549062987 302390513 1000000000000000000 998173980 311552567 23588464 925044058 1000000000000000000 144761300 66116530 60324248 52228052 1000000000000000000 656944767 649548891 599033456 469690917 1000000000000000000 540577596 58776340 426109655 426375502 1000000000000000000 397126938 77264174 23901083 27698287 1000000000000000000 19002753 11996251 461662 17943581 1000000000000000000 262550660 95830983 248866497 167994427 1000000000000000000 632366054 398196888 21169092 131622789 1000000000000000000 330302531 26990391 83475301 45725481 1000000000000000000 771899413 308601471 595185848 34206475 1000000000000000000 97856365 38746767 13638767 53798117 1000000000000000000 720454562 645761310 126505434 588441644 1000000000000000000 914896854 216987969 93503109 698226871 1000000000000000000 897138249 269128166 71774523 792769704 1000000000000000000 29865954 28839761 7168294 820927 1000000000000000000 813743747 764014589 146469739 192357280 1000000000000000000 522174007 33283923 148251631 480636837 1000000000000000000 843057605 100708772 362749478 613067936 1000000000000000000 518626650 148489173 253741936 465813413 1000000000000000000 689273369 174153193 556563499 544854928 1000000000000000000 154971102 779689 118519819 109377378 1000000000000000000 53360877 37977772 1807490 15484799 1000000000000000000 331451557 161549233 210146820 130094019 1000000000000000000 562529022 401738169 469608934 176569416 1000000000000000000 317578916 262278728 65978447 306406524 1000000000000000000 755740917 30361815 120554486 354603544 1000000000000000000 179073723 134586070 87595904 128601137 1000000000000000000 410275796 197695027 280273982 23490980 1000000000000000000 821094808 754244518 630131030 409371941 1000000000000000000 389818834 21410695 163615174 120590013 1000000000000000000 389568645 109839032 286413741 47073772 1000000000000000000 755957290 320401411 618797577 174929034 1000000000000000000 594416024 510382951 196961795 443377566 1000000000000000000 48027297 8410103 40560651 26412791 1000000000000000000 23422247 7856056 10809581 6931777 1000000000000000000 446331849 253033332 179192526 80779097 1000000000000000000 250836060 152648871 20346662 121869290 1000000000000000000 824432681 468365179 798968414 290279642 1000000000000000000 716321215 92515822 380619200 683041819 1000000000000000000 450242539 217566509 293455334 369950677 1000000000000000000 88194954 29724588 56952545 53692320 1000000000000000000 557268276 131111130 69245943 1042135 1000000000000000000 970740202 288097300 676609777 809420070 1000000000000000000 43610989 2788810 22379728 355377 1000000000000000000 102425667 84933224 45490878 55741813 1000000000000000000 169360243 23921748 2610899 111263593 1000000000000000000 965859327 651058105 963743259 8751534 1000000000000000000 146107175 41278150 18259225 5216394 1000000000000000000 405355542 132341197 324115343 67514028 1000000000000000000 452591649 399704490 248435086 67642053 1000000000000000000 258412152 124586908 89965433 144943 1000000000000000000 255547790 33104890 69835160 133466945 1000000000000000000 618953610 193303776 557018218 179795575 1000000000000000000 230259800 991234 78039831 129334604 1000000000000000000 680777815 223752283 260227925 178335042 1000000000000000000 46824667 26922124 30155804 20866776 1000000000000000000 325769300 147303864 137861425 214800132 1000000000000000000 243994824 209342684 85639260 162436425 1000000000000000000 446842422 173926714 104397523 290832328 1000000000000000000 304595349 84999644 151132136 245836726 1000000000000000000 236321956 39067140 94489262 191221214 1000000000000000000 232752991 227255077 160635220 28370760 1000000000000000000 68612686 20169971 17085812 38919937 1000000000000000000 672552060 376606112 476068923 384042962 1000000000000000000 254684025 72424036 92729641 119626726 1000000000000000000 24978562 21767558 17079900 18041612 1000000000000000000 862843366 173387437 60512634 523076077 1000000000000000000 801223921 24158162 533743925 779198363 1000000000000000000 149096978 91998376 21089179 70218989 1000000000000000000 655280562 531109822 176734824 7793301 1000000000000000000 97042491 87554420 79782520 66035132 1000000000000000000 921618299 613036490 95101936 801699961 1000000000000000000 473091911 231430384 324910021 224948282 1000000000000000000 221182271 212900397 206743590 158533326 1000000000000000000 957388574 817863767 374017218 876631605 1000000000000000000 563625711 279072888 143709532 492161284 1000000000000000000 196544253 20925741 126819766 66968544 1000000000000000000 868876346 220014927 753899750 6018370 1000000000000000000 478813786 309345125 231648250 389087758 1000000000000000000 701741855 366512224 354325643 191827169 1000000000000000000 99019895 2704212 47018269 8340769 1000000000000000000 996001826 233172587 340436614 922189360 1000000000000000000 423771960 49501654 47080743 347008136 1000000000000000000 958499976 490313421 43627160 735912894 1000000000000000000 131072475 41482373 41507071 1315045 1000000000000000000 94578853 80391857 53432871 17938691 1000000000000000000 534939949 185839237 316430772 340993238 1000000000000000000 822385588 645405304 508409898 458848971 1000000000000000000 947897495 31797197 777487330 741946797 1000000000000000000 218485317 53127714 20004510 161425458 1000000000000000000 124163093 17925595 55353312 109128485 1000000000000000000 351151042 64103450 323846186 22043170 1000000000000000000 885774088 378761294 20786674 741752068 1000000000000000000 338911546 115140672 104195256 185845536 1000000000000000000 329233972 24532162 136126278 270484717 1000000000000000000 693186494 429024598 396439435 291758735 1000000000000000000 174567368 143559212 129143692 43206795 1000000000000000000 258951145 257559750 27690433 140622276 1000000000000000000 758309633 318263677 555343234 702646059 1000000000000000000 134420980 93080398 81297002 66174497 1000000000000000000 613411907 543537122 554240572 92997200 1000000000000000000 127786618 64181817 110216464 86525859 1000000000000000000 386147314 172763105 131956324 225836513 1000000000000000000 504589488 485384780 452888709 306926469 1000000000000000000 826048091 525184205 516809136 710298898 1000000000000000000 262786809 77930331 146473275 234894291 1000000000000000000 249746056 53753239 212535865 205504423 1000000000000000000 124952258 17158151 65743525 10381996 1000000000000000000 675877565 437599856 660922928 505487374 1000000000000000000 251180322 51937546 119158835 57425859 1000000000000000000 146284495 114452883 85996257 91912832 1000000000000000000 245556940 60173878 104828493 176862465 1000000000000000000 767576281 717480112 570868723 266752769 1000000000000000000 851034031 74192685 615667098 216080488 1000000000000000000 258939380 233029435 182092237 64685857 1000000000000000000 79594683 34530880 32203651 43849460 1000000000000000000 726816754 318087258 5567282 487637302 1000000000000000000 609693830 333471915 137700183 542204926 1000000000000000000 302736406 285924628 193609121 19340659 1000000000000000000 584248798 132625602 222353417 255230953 1000000000000000000 703517502 392716431 702909154 531072176 1000000000000000000 816890697 425445615 583303144 445183157 1000000000000000000 471284908 241440879 214898447 337780899 1000000000000000000 651340772 340585186 352734778 428492824 1000000000000000000 477579852 351485832 94316946 400236241 1000000000000000000 911342585 45700526 714290777 405114835 1000000000000000000 228035050 40072293 106608879 159918232 1000000000000000000 558800946 481318243 39699505 53576327 1000000000000000000 104147379 14993004 82581313 3523551 1000000000000000000 505314175 178634240 197711177 5491554 1000000000000000000 544629848 253600486 314791798 24749527 1000000000000000000 109914395 15058707 75042328 36960241 1000000000000000000 749585291 84776188 69172374 295544027 1000000000000000000 247462351 238717253 170675240 89808800 1000000000000000000 538242035 424725377 383941116 430632202 1000000000000000000 663889024 39003177 633869674 141971201 1000000000000000000 848460994 81443364 106570440 223745415 1000000000000000000 539785121 422355541 387078211 366436573 1000000000000000000 704874105 492819715 18709851 622130253 1000000000000000000 167424940 44284627 114384396 833351 1000000000000000000 16762370 4008165 4394734 281400 1000000000000000000 60153369 53670098 2168333 4079456 1000000000000000000 876133354 745556817 403115245 178423794 1000000000000000000 534818417 306440793 236574715 206409641 1000000000000000000 396333303 188867753 314114267 389675075 1000000000000000000 564090218 212596523 541129979 230822596 1000000000000000000 921249092 140914365 185103715 699747591 1000000000000000000 963661387 401139782 406036937 890356306 1000000000000000000 429354755 71060930 176536410 120511369 1000000000000000000 941694230 675514604 260644491 831394439 1000000000000000000 722369192 324089050 524686521 549009285 1000000000000000000 769382642 725441912 450212474 220874220 1000000000000000000 557362363 129703270 515711644 442951221 1000000000000000000 71546329 38821481 67575495 64812159 1000000000000000000 521983649 351751826 57738038 33136111 1000000000000000000 82551418 75533914 49770555 4035550 1000000000000000000 476447765 236559274 204431708 261488256 1000000000000000000 40611294 20861177 13275291 22693248 1000000000000000000 256087561 220909679 97694662 229335564 1000000000000000000 226200428 8770502 158320323 73662542 1000000000000000000 68108793 46377288 11478090 42633414 1000000000000000000 417438035 319398786 124884892 352837795 1000000000000000000 115074159 63479185 43489764 109716358 1000000000000000000 899634898 103509400 778279977 580215921 1000000000000000000 284674043 3544720 215528944 51010929 1000000000000000000 344319443 40365062 105127350 183832541 1000000000000000000 438206912 237837866 34664401 7005104 1000000000000000000 913786216 20922683 342575571 877182896 1000000000000000000 873464742 860365855 718902130 580579898 1000000000000000000 207914528 181344246 105297676 111203533 1000000000000000000 974493270 720603102 418722044 462172446 1000000000000000000 798457323 347138491 686510364 326046146 1000000000000000000 265557725 249345841 161307432 70773235 1000000000000000000 566716383 358086967 72443266 355958625 1000000000000000000 455266001 449861278 445036389 392140274 1000000000000000000 499018316 489432264 328982829 182568086 1000000000000000000 135091234 109197325 103778732 52236104 1000000000000000000 356065769 86356516 75474495 92041681 1000000000000000000 457563662 33891753 344944049 243324952 1000000000000000000 866845955 734330345 549541780 272008017 1000000000000000000 184762930 154523408 176674306 70899661 1000000000000000000 140842461 37354729 26695843 70642687 1000000000000000000 696018786 521039830 613133995 600248587 1000000000000000000 387014343 291024417 48743335 301274058 1000000000000000000 827819562 98640511 76286939 557374562 1000000000000000000 915394009 425575550 180506444 203918409 1000000000000000000 701317162 184923410 198894882 237424053 1000000000000000000 829271715 517631767 775693427 458604595 1000000000000000000 633077083 315934929 81482732 8007026 1000000000000000000 456979638 30887037 27514468 47163776 1000000000000000000 265031755 260835230 15649502 93849536 1000000000000000000 600908172 101476323 346683575 457080132 1000000000000000000 682578533 176403450 266838498 195823732 1000000000000000000 949332377 532270477 177422684 887073232 1000000000000000000 107080627 83742257 20333899 69738261 1000000000000000000 630468232 552040999 562062293 205378476 1000000000000000000 626434 409400 179601 425347 1000000000000000000 547706255 501092775 522693148 512612765 1000000000000000000 63441189 2497131 44813374 23251793 1000000000000000000 503793334 451168461 75074918 216017614 1000000000000000000 129896512 38489317 88821221 82966993 1000000000000000000 136961207 80405324 120982385 56430747 1000000000000000000 629210675 285098190 486552471 123709634 1000000000000000000 263631370 178223921 206408631 85981 1000000000000000000 700778067 647399626 111130199 481536526 1000000000000000000 608325554 370836369 468013861 333429015 1000000000000000000 20220935 497664 10019078 215742 1000000000000000000 396170414 215213151 192280463 287658747 1000000000000000000 69647835 27977283 66279032 8566722 1000000000000000000 266970460 155220219 54520363 107330653 1000000000000000000 491682119 314987040 332588654 358021864 1000000000000000000 228004446 157697311 31263858 124779090 1000000000000000000 143616423 20542462 6432393 44337167 1000000000000000000 713884325 201131363 303503092 101874081 1000000000000000000 652762542 44321998 34812310 380466439 1000000000000000000 442072150 264177289 30169668 393688277 1000000000000000000 338979364 160391841 31263157 187189171 1000000000000000000 609671497 355917627 291849770 461028613 1000000000000000000 129722048 74378779 3199847 78618594 1000000000000000000 557012080 444364297 106886462 24793344 1000000000000000000 136206140 36398634 96829314 132128050 1000000000000000000 368161284 119639550 64438051 317276263 1000000000000000000 660322446 17608358 248028023 330838635 1000000000000000000 435444282 8958729 200517153 369601487 1000000000000000000 330747549 122103813 293805450 207459205 1000000000000000000 206777800 27450634 165644176 23133536 1000000000000000000 19055341 7356991 1691746 16786597 1000000000000000000 527174096 232300987 305563788 225450453 1000000000000000000 830054070 36500790 148501255 419887738 1000000000000000000 352668936 308049855 86616579 318738722 1000000000000000000 635911442 345197038 101140768 250427024 1000000000000000000 299320140 98500735 236896825 136966583 1000000000000000000 671576052 539789350 208410593 127085242 1000000000000000000 121630270 119799552 28776343 35359021 1000000000000000000 190588240 116633370 90975732 162156352 1000000000000000000 380336331 216554442 100994250 109131338 1000000000000000000 567648777 180619153 96194033 120738917 1000000000000000000 139411367 48644634 10282499 8322531 1000000000000000000 447908798 113171559 68088883 185064329 1000000000000000000 808562873 773914700 728136602 603325633 1000000000000000000 456241915 440712924 13145919 319866302 1000000000000000000 753290443 164347124 681734883 173549636 1000000000000000000 519307261 182614820 224300316 265852587 1000000000000000000 844324944 511886792 223954955 778686221 1000000000000000000 813037419 66050332 349857476 390866261 1000000000000000000 696247497 76177248 617737999 456815147 1000000000000000000 513326467 376617518 502312944 47775212 1000000000000000000 331873985 256084345 269572061 72823834 1000000000000000000 834947578 164975052 130295840 507417146 1000000000000000000 370797345 62281326 237146610 166310999 1000000000000000000 728982370 616213214 431053780 227613480 1000000000000000000 140910800 115756947 101814396 84515712 1000000000000000000 460564007 324844526 81866559 53648766 1000000000000000000 754288898 57814616 452647675 596302220 1000000000000000000 522276483 364583128 213855934 172933773 1000000000000000000 583095422 412814764 158445745 579865045 1000000000000000000 674657563 215933263 271638116 214501462 1000000000000000000 908785589 233973773 905852120 102570303 1000000000000000000 93572304 15285292 28325485 21628389 1000000000000000000 359401797 107130916 213542862 121430859 1000000000000000000 899131514 788750549 836053438 631525990 1000000000000000000 578753812 208612861 131411266 369062046 1000000000000000000 565875212 201543336 237196760 476709454 1000000000000000000 864069114 324906127 199385966 547746193 1000000000000000000 858091570 654094563 179940697 705720753 1000000000000000000 356382261 288311729 49840435 96337499 1000000000000000000 689009061 190232695 103204043 287998464 1000000000000000000 789836421 579105749 694610177 611774203 1000000000000000000 302352997 205724292 193262874 243560875 1000000000000000000 446496039 410779701 428693787 216300937 1000000000000000000 6070708 385768 5921921 2261697 1000000000000000000 965546395 431482364 56965976 730307491 1000000000000000000 854275551 367985482 644922193 612371815 1000000000000000000 915004427 300458839 347166851 520287957 1000000000000000000 888719523 306801765 875484564 839364969 1000000000000000000 678081613 16792398 600044183 317488685 1000000000000000000 115516869 74155134 91990066 69069195 1000000000000000000 247925500 207165210 112212200 165661375 1000000000000000000 416989392 59465411 12839467 401515764 1000000000000000000 670505609 240526746 653294613 145283092 1000000000000000000 233615254 133852906 233315036 200321271 1000000000000000000 845207411 34173474 766122938 298760761 1000000000000000000 157458558 9870572 136712989 73193570 1000000000000000000 190897537 100133223 70913031 114660376 1000000000000000000 915607485 687624979 484887178 826888483 1000000000000000000 916651135 804096335 914025239 221834264 1000000000000000000 563173133 346809890 452390224 214066523 1000000000000000000 882816720 773327357 319642455 878733807 1000000000000000000 258512422 89642761 109415942 193340147 1000000000000000000 732892019 657304154 696434807 183911844 1000000000000000000 553519009 353828573 391824688 497042040 1000000000000000000 187920560 29017341 50132149 70904467 1000000000000000000 346025064 79418886 316282791 251340543 1000000000000000000 628024444 226554556 190310830 118116966 1000000000000000000 724976813 687473268 368163214 596392219 1000000000000000000 414590479 99626866 31845549 104965882 1000000000000000000 463948445 424924929 21057681 198932722 1000000000000000000 274890082 251602190 266959775 229780864 1000000000000000000 847793978 801816083 39424976 245249033 1000000000000000000 470759581 209094110 250918940 430039892 1000000000000000000 989244022 92146660 136305964 361241633 1000000000000000000 812028607 403112084 18036612 22926429 1000000000000000000 878441759 532452146 26151484 513851067 1000000000000000000 203926623 52144762 20988730 24236583 1000000000000000000 722198059 259182823 357112742 721214069 1000000000000000000 34123935 18645665 1091353 21011881 1000000000000000000 857053353 839914983 690240152 726835689 1000000000000000000 247373964 233308086 106080852 175145515 1000000000000000000 787305140 198094965 270161635 675386971 1000000000000000000 450035011 165562928 276714997 69638825 1000000000000000000 307270217 91674874 147708934 208125477 1000000000000000000 579540557 248660682 366826514 271860379 1000000000000000000 216593275 207877949 146383516 36350972 1000000000000000000 671468596 233575064 431713390 150130251 1000000000000000000 321874147 162654541 173771756 66063993 1000000000000000000 743349270 555230704 137527501 528441808 1000000000000000000 211882208 23006836 137159175 92208683 1000000000000000000 772659941 435747343 243129529 209885369 1000000000000000000 445794869 232806599 221641842 427930505 1000000000000000000 864264468 648721830 811800119 853629086 1000000000000000000 766695151 9424563 44582467 603289681 1000000000000000000 850518593 636784882 667295746 684007205 1000000000000000000 951638101 186318104 652855710 781987268 1000000000000000000 52028106 8740077 40354489 21340856 1000000000000000000 797431274 247247145 21149784 568825123 1000000000000000000 840552664 609205986 472305354 16148386 1000000000000000000 565592807 561795619 399160758 170494580 1000000000000000000 865727169 715480230 277565521 257337454 1000000000000000000 786239955 192006206 114887026 776999483 1000000000000000000 571910478 298276071 200635672 321138341 1000000000000000000 313397770 309456050 220795143 54650785 1000000000000000000 442428165 219753684 376376044 315257321 1000000000000000000 558338618 225544656 348162800 498354795 1000000000000000000 381662715 317898741 76994881 366526172 1000000000000000000 952178940 167222522 578808567 526319251 1000000000000000000 405850391 238688178 100843482 251597507 1000000000000000000 75391711 3638884 20586116 38770362 1000000000000000000 819333596 703427244 190537768 461161704 1000000000000000000 672692428 157086847 388941838 153559335 1000000000000000000 801748688 417074376 487577452 192274862 1000000000000000000 837102414 45933948 412819288 762511872 1000000000000000000 959521566 135552569 53066831 64839116 1000000000000000000 33649251 6926813 13525670 30467972 1000000000000000000 867909337 607636931 786522056 96018625 1000000000000000000 537556419 175518202 390408192 340931293 1000000000000000000 291280258 112574025 209505100 273475192 1000000000000000000 557184985 61244088 221619368 422229694 1000000000000000000 196319197 70505701 72724015 80707192 1000000000000000000 166055345 82988791 97755797 162119587 1000000000000000000 150817853 118393609 43506927 49684361 1000000000000000000 304343511 250102098 140359280 125332387 1000000000000000000 650322134 125768815 32577613 601888762 1000000000000000000 908669859 753190774 276988771 679634478 1000000000000000000 626055362 67478618 567642035 159901619 1000000000000000000 862183324 213621395 494519301 93489787 1000000000000000000 553535878 108106008 248578982 143425853 1000000000000000000 874414324 531049456 708169161 338478344 1000000000000000000 935484844 363260653 723902609 784460398 1000000000000000000 687193101 414598837 393609239 581529798 1000000000000000000 296956610 42040774 247131341 2457647 1000000000000000000 615124410 91850682 27663170 555879500 1000000000000000000 771347152 452678264 324182174 607460026 1000000000000000000 522686939 31497036 126386369 371606021 1000000000000000000 977431019 265063194 494988474 863747865 1000000000000000000 702921794 194496022 342100956 148637879 1000000000000000000 121356989 57037274 116962366 22058381 1000000000000000000 717841797 397626933 46666228 566257056 1000000000000000000 293773031 231773890 182992144 223103528 1000000000000000000 689614427 187019275 168603245 672431647 1000000000000000000 202548467 47429178 152454885 63035693 1000000000000000000 865989591 493390005 256112957 75889685 1000000000000000000 677690701 178820565 127757105 487115553 1000000000000000000 363009466 81836161 258377077 160793619 1000000000000000000 649421157 45302174 63773796 313552288 1000000000000000000 382569082 266916211 63841692 205652814 1000000000000000000 303293242 280547304 207973879 234863056 1000000000000000000 266883655 118092008 25332686 70660999 1000000000000000000 23374701 12781829 2459114 22510523 1000000000000000000 856775428 126181392 407046762 752171065 1000000000000000000 903718697 63620785 846315185 485068052 1000000000000000000 507669649 169299063 43850978 344911741 1000000000000000000 181457268 117065390 139421248 3796295 1000000000000000000 108425985 84973711 59611665 54301876 1000000000000000000 603311343 316579014 257234368 165148586 1000000000000000000 119767070 80539494 35517617 28646779 1000000000000000000 74073316 58438874 67085055 45849821 1000000000000000000 406083019 405886447 161655799 206037350 1000000000000000000 374505170 171882453 99708936 73902218 1000000000000000000 463799825 124033599 11444859 163185230 1000000000000000000 689321090 311994621 112896073 33405657 1000000000000000000 330503588 87987765 6464845 112351225 1000000000000000000 522999185 308323977 66721317 72555994 1000000000000000000 673413416 651129753 580977015 423389075 1000000000000000000 580039797 417689138 207242819 365407806 1000000000000000000 503744384 13513177 477791209 386365022 1000000000000000000 21885626 20409505 9402732 21473509 1000000000000000000 408957677 217213305 145946528 176685288 1000000000000000000 938422515 590371030 657176483 666122106 1000000000000000000 484509872 139853244 2033642 174566749 1000000000000000000 168193950 13068525 154932230 13796032 1000000000000000000 921130578 557489725 558480026 128453805 1000000000000000000 49896096 2268720 4164299 22436787 1000000000000000000 151792870 122235688 39440716 115084117 1000000000000000000 177575666 43022778 81980365 12259270 1000000000000000000 307887359 201574066 20472850 190875694 1000000000000000000 866877284 657359496 72975707 63547484 1000000000000000000 185105307 61746971 24276771 99730448 1000000000000000000 45763234 20542494 27979890 4900508 1000000000000000000 312574279 13685337 67777773 59957352 1000000000000000000 219812880 211220321 105691195 111220185 1000000000000000000 208623251 35589464 191039191 166250728 1000000000000000000 171069969 104450778 67844880 49188794 1000000000000000000 95962899 29058328 41856737 80262800 1000000000000000000 40425404 36826983 14890767 39376054 1000000000000000000 791529181 690474468 448124131 219303606 1000000000000000000 186320282 177322436 48418299 121026403 1000000000000000000 758677042 310826322 134755684 410939033 1000000000000000000 523159466 21570142 124267800 10752557 1000000000000000000 661005523 522547590 615538156 403415161 1000000000000000000 386395839 207485529 247834449 97433400 1000000000000000000 452730385 206706466 48194263 1862905 1000000000000000000 673650826 90759732 164067431 540840219 1000000000000000000 76589459 55444567 38951757 57096293 1000000000000000000 171966091 142699052 77575167 158521761 1000000000000000000 766918213 161525788 53374278 395207000 1000000000000000000 395303470 222973122 137363148 269206483 1000000000000000000 51491235 1948920 19267594 26222922 1000000000000000000 972669278 742430119 441342732 89481303 1000000000000000000 195482444 194642782 155979489 42986810 1000000000000000000 736097203 64517766 180285046 553893234 1000000000000000000 758847227 282804972 648545614 344507283 1000000000000000000 916151355 782108025 846104571 504509248 1000000000000000000 157973994 79627122 21602227 113792285 1000000000000000000 763325865 12919707 112189729 481965266 1000000000000000000 333673504 99070256 314839528 126587199 1000000000000000000 335226426 309291535 226497438 144540633 1000000000000000000 307309108 50294733 178748951 47825622 1000000000000000000 608762797 209935228 535403988 605396248 1000000000000000000 39623337 2530403 34045076 28254183 1000000000000000000 177190816 50552854 162495895 65605103 1000000000000000000 363971542 104024021 68504676 299941991 1000000000000000000 506377348 376551040 328230807 253761682 1000000000000000000 770921481 288637748 543069262 264192456 1000000000000000000 665571424 161022213 563150337 93002484 1000000000000000000 974442263 552501697 129611320 818036748 1000000000000000000 385268540 135349105 379176134 23499393 1000000000000000000 938428532 357733706 72625885 694461743 1000000000000000000 672483762 470752157 371192849 548586034 1000000000000000000 167973507 115957824 146929370 88987611 1000000000000000000 186525327 169381726 101962652 184170296 1000000000000000000 21097575 10342064 9331753 13243963 1000000000000000000 595491950 589805440 336201443 262724600 1000000000000000000 957159802 96463571 462154746 6393108 1000000000000000000 23254579 11583383 19854595 13704716 1000000000000000000 520887044 301078113 94959010 270939741 1000000000000000000 36603014 1951993 8271450 1121899 1000000000000000000 827349290 732430510 143239984 570981270 1000000000000000000 562945655 438593160 219179602 221990150 1000000000000000000 575638508 567727870 388542278 489523847 1000000000000000000 364827666 223140752 84865549 207374065 1000000000000000000 440572489 317571138 288600247 343317328 1000000000000000000 220299828 15754207 140049613 34368864 1000000000000000000 313053567 9543877 311336769 142533983 1000000000000000000 712007598 620163567 613980076 419476644 1000000000000000000 856898201 64533035 717681024 470720380 1000000000000000000 997540451 466106513 155273178 752725972 1000000000000000000 104730615 19583278 85200466 61129707 1000000000000000000 529421103 198022425 524818978 326948600 1000000000000000000 726509920 100880290 179766518 36068506 1000000000000000000 14140510 13305381 9814396 7503399 1000000000000000000 403303013 150823193 95568852 37431041 1000000000000000000 913820109 90419715 770822349 658937041 1000000000000000000 856514415 595350712 479738298 234461869 1000000000000000000 30392562 18998039 15263151 10355845 1000000000000000000 756980305 102546905 378332849 427021983 1000000000000000000 443918555 24496150 237382500 251271727 1000000000000000000 509555894 280516469 323548035 371744959 1000000000000000000 309787046 87730624 251256989 290780852 1000000000000000000 186124030 120878468 137826140 126859765 1000000000000000000 320605060 160221202 64162803 216508470 1000000000000000000 47228820 29486133 23872655 11405608 1000000000000000000 645972798 506136204 281341900 564973718 1000000000000000000 800295662 751271934 624453576 627808950 1000000000000000000 732836379 225453262 205681776 270496033 1000000000000000000 636146491 372139182 6638453 296274781 1000000000000000000 433558628 121591003 265279900 205611855 1000000000000000000 327778168 211189203 119725068 5290463 1000000000000000000 234833200 19126137 178555801 101344055 1000000000000000000 109809707 52934291 51047729 71012339 1000000000000000000 58725468 16130264 20176931 3026188 1000000000000000000 740948707 425648996 466990718 688801925 1000000000000000000 895148363 533972362 803045860 835320433 1000000000000000000 14178653 4290388 8428299 598720 1000000000000000000 489564633 227735375 253685480 104303831 1000000000000000000 75715506 3304678 69177554 26550421 1000000000000000000 234268613 207965722 223544524 6208819 1000000000000000000 529999681 89437034 220010146 390890185 1000000000000000000 390080006 34951106 339623088 182733844 1000000000000000000 29967093 14048766 11433596 4954634 1000000000000000000 551844212 349493446 261656131 166417853 1000000000000000000 918404248 491796651 540847337 281353839 1000000000000000000 323065592 206409670 317275252 27569863 1000000000000000000 151072332 103326292 139048841 49342331 1000000000000000000 200449820 117232541 66663861 145665710 1000000000000000000 610297180 589312707 432023887 597237279 1000000000000000000 701117827 147219767 81782544 527299686 1000000000000000000 761195232 444398283 476635693 687096863 1000000000000000000 375746075 220594444 107324956 92257351 1000000000000000000 414266416 286322859 242074971 121295544 1000000000000000000 252510774 232020794 165285875 215997110 1000000000000000000 33774276 17184257 30046639 23741396 1000000000000000000 822171558 326385774 93401821 699238413 1000000000000000000 917653724 302674213 877465842 158766440 1000000000000000000 157058207 68145785 112941594 134635673 1000000000000000000 702915165 590670286 537594923 522330724 1000000000000000000 562574859 525905065 529027696 200459555 1000000000000000000 576755378 540555250 230285949 134680093 1000000000000000000 946360913 289253032 110489199 513908591 1000000000000000000 369261742 96655893 158274197 324104937 1000000000000000000 90411993 89656774 30345856 70082594 1000000000000000000 381793680 52077903 185336910 224925040 1000000000000000000 613648490 260795827 382664165 390355343 1000000000000000000 532006922 369044330 93261218 306505231 1000000000000000000 43096307 22284270 25756708 5450056 1000000000000000000 710063095 556420334 28809945 278867259 1000000000000000000 855172130 195191302 610978560 704778929 1000000000000000000 577120209 302113685 455146760 152180735 1000000000000000000 194994782 53472820 186198700 12402555 1000000000000000000 113585653 75326834 90637827 12132380 1000000000000000000 655616136 236500808 630775936 381634170 1000000000000000000 997552602 773317283 810227811 99623857 1000000000000000000 27348796 3241891 9520087 21081132 1000000000000000000 80666840 73875511 72802321 4814728 1000000000000000000 540420661 472433941 17856752 222903054 1000000000000000000 335214512 145430228 34924797 228767379 1000000000000000000 821283970 757756731 344240460 578775118 1000000000000000000 449526891 422280114 51065513 9518301 1000000000000000000 484714595 51804637 139532890 221006510 1000000000000000000 944865674 466394929 436161232 346332219 1000000000000000000 499118962 171048692 69597873 249277575 1000000000000000000 742101549 184597714 82388895 17932698 1000000000000000000 990749682 488323763 455088440 634786095 1000000000000000000 950367210 4692322 555339625 619726583 1000000000000000000 268651865 163110637 205033119 189391559 1000000000000000000 151620221 29668737 74643548 65161261 1000000000000000000 578371832 234218302 446159921 241464117 1000000000000000000 509356922 158265279 93531624 250096577 1000000000000000000 434940339 277558679 336758996 134160153 1000000000000000000 155386318 101090153 136174182 105379255 1000000000000000000 127154883 42525057 109989955 48338022 1000000000000000000 586282177 372435464 292867535 135940176 1000000000000000000 560616348 392570276 331514539 312450458 1000000000000000000 914057197 287629621 455866724 531080636 1000000000000000000 920589485 504561891 738809973 208824905 1000000000000000000 368318929 50675493 185435507 23218983 1000000000000000000 154911016 9790886 50948818 63219785 1000000000000000000 122206474 28306985 14343937 21593738 1000000000000000000 702477506 554050062 470865715 619003494 1000000000000000000 503941754 127191848 242973691 316571683 1000000000000000000 949061665 602541848 419403416 547975421 1000000000000000000 3422308 2329849 1360067 2682601 1000000000000000000 552181664 208221210 295070199 73768062 1000000000000000000 628888984 468947655 147836695 373301236 1000000000000000000 685350234 560927255 435721752 280482337 1000000000000000000 398651688 197215224 257056020 224397012 1000000000000000000 325065046 94321117 306164445 128234485 1000000000000000000 5498787 577532 748812 5015365 1000000000000000000 482327123 316169726 467464251 482301622 1000000000000000000 836835601 747681833 393977569 822583573 1000000000000000000 790738371 728252600 751782259 509170400 1000000000000000000 422686853 226254365 357355182 32423472 1000000000000000000 218025779 121034379 145953200 84597458 1000000000000000000 45151836 41077551 33924768 38815059 1000000000000000000 622969721 498770936 112055207 374513909 1000000000000000000 373018103 54475006 192413223 81292538 1000000000000000000 262346551 185337372 107332498 87383676 1000000000000000000 472549560 421204698 43833983 184759616 1000000000000000000 340537032 163406426 154419794 327498563 1000000000000000000 275302562 186951067 53001610 180388534 1000000000000000000 190481013 76599603 82254051 106741429 1000000000000000000 74724334 29985936 52577781 46580822 1000000000000000000 280246925 208032547 184939319 277250921 1000000000000000000 205548823 38528590 138125150 81358518 1000000000000000000 320342067 291889620 229939103 244586282 1000000000000000000 567895262 177602833 474519233 278959314 1000000000000000000 288998091 242678063 254865250 140104230 1000000000000000000 358080882 338681755 227497278 113642958 1000000000000000000 973017461 913152526 574862061 686488920 1000000000000000000 395285609 289198179 169389253 384547171 1000000000000000000 26270862 14281085 6257312 2761513 1000000000000000000 988259059 38096418 270098262 624158036 1000000000000000000 963047127 646837142 203615344 104994443 1000000000000000000 826240627 508061324 270764972 429534912 1000000000000000000 969515227 81137393 717777190 711980528 1000000000000000000 122314544 18998920 8356669 26420869 1000000000000000000 203530542 57207516 58350428 18751178 1000000000000000000 570555535 244662044 563455656 332257465 1000000000000000000 298178838 172991253 11448039 160085066 1000000000000000000 2557706 8770 885718 642725 1000000000000000000 655088665 247268280 559505761 63471342 1000000000000000000 649033541 358700504 502148406 340709321 1000000000000000000 85646810 78678619 55201492 66963959 1000000000000000000 635864952 602464771 96249234 393203790 1000000000000000000 514950748 100538636 145926708 60102647 1000000000000000000 124548308 118802477 17668004 38071337 1000000000000000000 43629331 9529433 35129986 1639832 1000000000000000000 427081007 119429437 165429934 12897958 1000000000000000000 903011396 444977613 748347615 153980536 1000000000000000000 570122347 277747865 538677561 210158939 1000000000000000000 266341048 153653802 106479055 60755253 1000000000000000000 898075611 524989963 140052197 52639804 1000000000000000000 859143645 228588266 411948306 310791365 1000000000000000000 760428263 708772275 51302470 714202649 1000000000000000000 485706616 112974741 205146615 404494308 1000000000000000000 878207566 125187064 135701000 192126986 1000000000000000000 779727906 249160550 156323957 361456737 1000000000000000000 588519181 563529047 528993516 407462712 1000000000000000000 345684162 147895214 214098244 241445041 1000000000000000000 675541831 545362177 330428715 656000177 1000000000000000000 764500919 489125871 273778975 124120321 1000000000000000000 400295330 347350223 265702117 152044423 1000000000000000000 34088565 30727785 10319518 9641417 1000000000000000000 41194772 32548150 35148994 26190561 1000000000000000000 580787768 554816043 211014952 151922717 1000000000000000000 789278039 618032629 392595137 370676106 1000000000000000000 2961768 1559450 1279529 1538945 1000000000000000000 823712525 670183529 408861930 220239105 1000000000000000000 364134067 66995067 232122717 165203876 1000000000000000000 830991359 271409674 134704858 613523140 1000000000000000000 869343071 139922299 63326188 623074619 1000000000000000000 615772842 569163912 539959877 279021848 1000000000000000000 613533061 176225123 508654390 437873842 1000000000000000000 659372992 342908125 254196470 265347251 1000000000000000000 652406768 105445206 280683748 263248546 1000000000000000000 453838467 316420470 289776510 180524703 1000000000000000000 582005966 79698127 38982918 204227445 1000000000000000000 887543530 176458072 875081382 501999573 1000000000000000000 878408341 415038705 181953708 687707390 1000000000000000000 290134537 256299205 47838866 194185436 1000000000000000000 293694761 1679934 59413295 210573134 1000000000000000000 508641930 408255251 163697284 366026826 1000000000000000000 141343470 25802680 15364983 86736292 1000000000000000000 272937204 66858472 217908103 11946761 1000000000000000000 351929515 306275367 230480592 131914761 1000000000000000000 710672425 557806224 93780774 475037426 1000000000000000000 466644504 453018479 141515563 412514112 1000000000000000000 480645496 198630434 52177900 299337828 1000000000000000000 453023377 294205955 177232186 400860993 1000000000000000000 110893940 85120408 96923644 59439508 1000000000000000000 490328137 432316413 89003811 87436495 1000000000000000000 160067713 53833148 6318650 1608062 1000000000000000000 433025051 256212802 124869675 228018310 1000000000000000000 734548470 695208405 698850587 485619763 1000000000000000000 31115151 7583436 8511590 13906877 1000000000000000000 101652263 75996199 45294857 49480712 1000000000000000000 433444330 346925111 19464410 133083233 1000000000000000000 287837137 33777622 146473012 1835833 1000000000000000000 150965843 62762885 66061861 83600887 1000000000000000000 126491778 122452685 100337355 103791444 1000000000000000000 680852342 340283304 357800851 208069917 1000000000000000000 263579798 242238543 259733463 30775654 1000000000000000000 566755250 256187946 480644956 258744022 1000000000000000000 155585281 79031578 119707332 66268523 1000000000000000000 807195002 664235392 354798210 249729435 1000000000000000000 31710923 13431326 994478 24306844 1000000000000000000 264526149 251434490 54230208 149157656 1000000000000000000 675868209 130758366 373891903 200488069 1000000000000000000 604111959 468036973 93276217 555923087 1000000000000000000 408035345 167867877 212307344 51188428 1000000000000000000 681701290 668159143 121373761 679328008 1000000000000000000 1915917 1079596 783245 362778 1000000000000000000 186948558 158316520 28384053 84355183 1000000000000000000 130220 56743 70035 83368 1000000000000000000 180218016 147247910 56207782 18416012 1000000000000000000 980494661 646049653 80315107 47412829 1000000000000000000 595318643 378704084 178281970 411821487 1000000000000000000 773489799 496285771 609873236 138694319 1000000000000000000 758884568 293698254 610570019 469162473 1000000000000000000 723751637 621867159 311826066 387500097 1000000000000000000 613294441 167680304 203949631 111881080 1000000000000000000 626079973 400277185 115981553 405322236 1000000000000000000 301299080 21088750 94638424 63211593 1000000000000000000 404485939 67803899 127676996 339580517 1000000000000000000 586783022 163100905 298965666 279719357 1000000000000000000 993069672 534854713 278102050 573486406 1000000000000000000 806675232 512233504 11682750 528953269 1000000000000000000 782545933 249080684 381099340 19130879 1000000000000000000 873140586 549121594 800474998 603312320 1000000000000000000 731365854 639345181 62702172 8542266 1000000000000000000 646989181 293320932 481067127 77779910 1000000000000000000 469884740 55066965 358590619 175295621 1000000000000000000 832462979 95721490 450012101 603109046 1000000000000000000 50471471 5774968 44582429 31637224 1000000000000000000 863309526 467256341 612103852 321460946 1000000000000000000 543430220 105401980 275693767 284790598 1000000000000000000 939327262 146534522 361250027 30649859 1000000000000000000 910443581 708445134 547099991 330570871 1000000000000000000 922087456 480026608 783330121 877692416 1000000000000000000 258053491 135164276 54689891 231257443 1000000000000000000 537930867 395215764 388853543 20939657 1000000000000000000 534125582 193949026 102447610 86045796 1000000000000000000 389582445 123526984 283887232 347271288 1000000000000000000 318222021 47311539 305559871 167372222 1000000000000000000 579010216 551146735 497879583 225832659 1000000000000000000 643018615 67505688 232734003 223768479 1000000000000000000 915901794 223502060 735168553 225856188 1000000000000000000 406046960 402717755 78218839 126045103 1000000000000000000 474993425 432735013 15116290 119299385 1000000000000000000 574461544 515989380 402934009 56932268 1000000000000000000 33752378 18506018 15885427 16999575 1000000000000000000 567229709 97201362 111481558 91297151 1000000000000000000 637717811 369972074 523712198 122293242 1000000000000000000 128399487 120482920 35849794 48460278 1000000000000000000 522277924 385089547 465751562 123644023 1000000000000000000 629790565 298767309 69780798 133497160 1000000000000000000 893988538 642077452 56467681 1813467 1000000000000000000 575349441 428367017 196406990 6916688 1000000000000000000 644430235 265525273 316282695 241252640 1000000000000000000 64047169 4038994 42297867 56217526 1000000000000000000 953637213 97295688 227277790 111284565 1000000000000000000 598031827 270687023 120825309 48798118 1000000000000000000 815001711 661869330 537858101 800455482 1000000000000000000 381847065 45537041 95105375 349409752 1000000000000000000 426684088 345890367 268745882 220145233 1000000000000000000 246398144 30862169 168232287 198374735 1000000000000000000 512761610 256416007 450497186 134624454 1000000000000000000 702476237 663534852 420429068 24872204 1000000000000000000 207293637 52566294 169138898 67692469 1000000000000000000 668326817 547855166 173765855 609160145 1000000000000000000 898894793 557610138 17035041 891454875 1000000000000000000 676250543 484188167 362302853 257168383 1000000000000000000 729621905 77369756 34582485 61177590 1000000000000000000 26791652 3963336 6777008 1210787 1000000000000000000 5512370 1374858 974363 4679548 1000000000000000000 687335874 61541203 8679495 483878726 1000000000000000000 645031584 506528020 594366723 184578502 1000000000000000000 724654687 120326424 179725049 402600221 1000000000000000000 291119908 286232266 135078124 257459944 1000000000000000000 969780926 669245315 801124225 828657201 1000000000000000000 794641013 378008486 87241947 697011791 1000000000000000000 499092877 496730770 189092684 146087245 1000000000000000000 130777971 82678956 65280703 77447016 1000000000000000000 252301013 173469937 51982582 102716684 1000000000000000000 421893714 382508981 168796513 388927159 1000000000000000000 653976709 452798609 289026242 574520968 1000000000000000000 743716677 506691165 247287414 527036467 1000000000000000000 966732833 37103543 857715215 852209882 1000000000000000000 202221313 74667611 160160214 129237635 1000000000000000000 824015731 752612232 670747253 406598402 1000000000000000000 782770797 490964505 50160923 305635922 1000000000000000000 354108079 110872324 41569359 109211300 1000000000000000000 721051726 716822678 324537670 64436081 1000000000000000000 987706751 872634613 47324844 775655505 1000000000000000000 124055931 90433769 120691917 39832947 1000000000000000000 713501180 613753868 684814370 161345988 1000000000000000000 683335498 265405522 229545484 647253576 1000000000000000000 575230041 206575225 425571324 220561265 1000000000000000000 701777112 623439098 164870138 140907193 1000000000000000000 23967069 1514390 7856512 3760968 1000000000000000000 292372202 256867609 229254497 86225090 1000000000000000000 248590363 43810134 85686056 31084573 1000000000000000000 285261466 166425004 148143239 14265191 1000000000000000000 576530852 89469480 327649056 400816057 1000000000000000000 476955106 7998160 37514302 322200363 1000000000000000000 264919248 119861866 137244508 186699957 1000000000000000000 678485782 305352056 246284229 513421517 1000000000000000000 443272612 419095642 43133694 65608319 1000000000000000000 895374633 744983754 274034768 68192576 1000000000000000000 926334880 741930648 748498235 837167580 1000000000000000000 779432934 758835362 775028507 548510465 1000000000000000000 957098776 138066487 433134891 512760578 1000000000000000000 963361905 419217758 364350119 69297898 1000000000000000000 812158543 526306181 344853248 550913180 1000000000000000000 743402427 669277521 471376118 312069790 1000000000000000000 466494860 180208254 419351994 436078963 1000000000000000000 385795264 334996453 323911862 274038222 1000000000000000000 171589166 111542504 74350304 37544726 1000000000000000000 504559775 484305141 242822135 95592170 1000000000000000000 133033017 116432129 10158294 9061327 1000000000000000000 225835643 49610632 77403390 72708238 1000000000000000000 452523462 289377653 272896642 169451003 1000000000000000000 755229042 102537878 650619802 65437430 1000000000000000000 59069965 27249073 32709267 53883119 1000000000000000000 532399273 212638068 239252125 521303784 1000000000000000000 580768769 439808561 471175651 32346353 1000000000000000000 548025300 183064932 193935394 292307760 1000000000000000000 49201689 21701157 6239127 5402170 1000000000000000000 516733982 338987701 511440933 184927137 1000000000000000000 334203871 145737636 288182076 268260079 1000000000000000000 440670816 33008038 363344391 121362031 1000000000000000000 256370867 83002664 151842965 106148575 1000000000000000000 309428315 263494406 85459332 160272870 1000000000000000000 883347286 682320992 136165202 211601824 1000000000000000000 150255076 138417005 135210938 18572062 1000000000000000000 484461222 49536453 335630789 57061860 1000000000000000000 480574331 183141424 468077781 183277729 1000000000000000000 360400445 293197831 308500987 308409495 1000000000000000000 132423083 83725915 102859076 95205696 1000000000000000000 870550575 669853266 615305810 772506051 1000000000000000000 398380283 44499561 52585506 89620707 1000000000000000000 520797825 418307085 107962819 270643821 1000000000000000000 854124045 826630298 328042164 441070698 1000000000000000000 471471133 143051279 389218147 243592024 1000000000000000000 699000633 528022142 3469284 173682811 1000000000000000000 182866312 155460189 164266497 179713216 1000000000000000000 696321051 209552744 242778055 509304705 1000000000000000000 358727346 185731936 318805338 142641137 1000000000000000000 403047990 296734255 222010239 154604768 1000000000000000000 281751004 44870051 83477458 124981717 1000000000000000000 563637880 222449106 39613185 401344228 1000000000000000000 244381829 103294712 213928730 223805649 1000000000000000000 383715329 31084650 322900568 242432257 1000000000000000000 449382551 164428863 231270070 291399356 1000000000000000000 737474889 5551981 249587407 518793416 1000000000000000000 188676690 142211869 166215638 144842288 1000000000000000000 303412946 77942431 68052462 46791589 1000000000000000000 854921917 528416364 186564155 426736411 1000000000000000000 164668240 60735434 147468369 138475611 1000000000000000000 1502668 196412 1021586 1179667 1000000000000000000 379397539 28227078 269486280 347084429 1000000000000000000 730087732 426375163 423684081 54280497 1000000000000000000 39945191 39246318 25032071 22081766 1000000000000000000 759149900 707005869 704370965 499568309 1000000000000000000 392601856 22098139 179203347 40553913 1000000000000000000 236512952 123481085 17331035 191005306 1000000000000000000 674419733 71924397 194269871 246755004 1000000000000000000 620987211 52575168 76612141 396562955 1000000000000000000 60816712 51057312 33616091 13872947 1000000000000000000 379200509 228327621 223187591 348498220 1000000000000000000 80483116 53392719 77166323 57634776 1000000000000000000 61272359 46201533 21347862 23910995 1000000000000000000 340780130 264440820 221183423 192871093 1000000000000000000 313402616 171472637 56645684 166056168 1000000000000000000 933624652 530430270 896253256 802022361 1000000000000000000 854699163 282219068 815468857 448067038 1000000000000000000 131569117 33775241 56666232 42560836 1000000000000000000 298365065 61307294 120760856 109477403 1000000000000000000 203500430 89427482 78352434 84603654 1000000000000000000 105662450 71881099 94711328 38230551 1000000000000000000 106093873 792712 18620435 4693436 1000000000000000000 498303541 421829486 316115566 23549425 1000000000000000000 333306783 330423480 112368602 257126322 1000000000000000000 736292571 328722775 436207731 347957904 1000000000000000000 117814471 83514684 35056783 20333195 1000000000000000000 136979637 94320053 70344426 81199462 1000000000000000000 651582751 111481887 494692862 450080430 1000000000000000000 571192107 321860820 371881205 500831805 1000000000000000000 891855681 191186522 159661064 307951525 1000000000000000000 180968099 107910859 153275904 16324289 1000000000000000000 478416283 273861830 196180752 20282564 1000000000000000000 838042515 428429015 379259838 663758056 1000000000000000000 21652460 18651864 1631736 12784769 1000000000000000000 343820882 51970512 229030020 92602645 1000000000000000000 108588379 47905716 36541605 29113832 1000000000000000000 123696014 3244275 105485203 77290835 1000000000000000000 302865941 255869355 240040295 123302798 1000000000000000000 965918755 794065016 594862882 436393085 1000000000000000000 348971384 43385815 323007770 320195927 1000000000000000000 225221289 38791517 8322653 42449153 1000000000000000000 706449643 67425762 669864987 8519995 1000000000000000000 180814822 62768206 41652973 2207022 1000000000000000000 598178325 321362399 436013589 333348553 1000000000000000000 823600205 345176006 409511844 467585237 1000000000000000000 268089390 155806691 248716699 172651154 1000000000000000000 69818327 26731421 37361915 45724843 1000000000000000000 21775997 6943925 18930516 4461322 1000000000000000000 73406487 8722353 55179728 29341540 1000000000000000000 207362690 88828982 204765558 142098314 1000000000000000000 93941004 70480790 20375155 28570217 1000000000000000000 742883587 66851012 447777049 614040537 1000000000000000000 879009156 468185549 671554961 236283945 1000000000000000000 75189935 61267175 35169687 21360507 1000000000000000000 769331398 475833586 241575095 321299376 1000000000000000000 133217085 3076292 14472527 10565669 1000000000000000000 769919168 703312047 40475965 735693759 1000000000000000000 8255560 2110341 4641472 8117753 1000000000000000000 190904209 175187494 49716257 5085079 1000000000000000000 946666737 227947746 68158432 184157320 1000000000000000000 425710551 324207502 349629273 83270207 1000000000000000000 262945354 41712295 216266260 45398386 1000000000000000000 160674002 73476355 44031639 52169746 1000000000000000000 548848925 466043359 327737746 245853808 1000000000000000000 993330697 978998855 752422748 190179796 1000000000000000000 515206822 339127905 461206742 293493680 1000000000000000000 509578261 107766330 341784046 77440895 1000000000000000000 237235416 195239284 166469105 69921105 1000000000000000000 691066759 691060972 79873556 447089018 1000000000000000000 152385751 18545384 39937330 140540625 1000000000000000000 612461396 38747616 231523239 594821556 1000000000000000000 444684940 307620586 318888990 182043488 1000000000000000000 839213394 204638494 301808747 427596657 1000000000000000000 940246560 876032761 39757794 786265751 1000000000000000000 965303865 403572142 378366382 510911702 1000000000000000000 82177146 19467704 63942812 25828166 1000000000000000000 417789570 331975628 412841494 132433568 1000000000000000000 633343884 224089228 291321555 190499342 1000000000000000000 327025420 90378594 98311553 284826573 1000000000000000000 7043820 4080446 13382 6447368 1000000000000000000 562743465 475606959 154792041 331586375 1000000000000000000 933600406 395684869 512518968 402356191 1000000000000000000 655543661 107470699 396104576 172210309 1000000000000000000 628700474 390702656 333909871 564556892 1000000000000000000 528682680 192882291 446393487 286864619 1000000000000000000 745181621 60141623 133137826 15275092 1000000000000000000 878098515 773055241 339243943 525054764 1000000000000000000 92840222 68474108 84497490 6571888 1000000000000000000 728764148 585125155 681764818 481158423 1000000000000000000 31346538 4731093 16726564 9802882 1000000000000000000 423129158 56441906 182144412 93884988 1000000000000000000 892145941 563807734 716646334 227058576 1000000000000000000 670500881 182982993 160252416 329254452 1000000000000000000 475978023 319736 279510191 77201599 1000000000000000000 993936882 936912426 556584298 894622136 1000000000000000000 862218778 12283202 225468753 414448800 1000000000000000000 537634871 180027593 146138942 131898063 1000000000000000000 391822078 101428802 226779315 32118031 1000000000000000000 13853821 3157508 10742471 8082805 1000000000000000000 195661548 61502248 32377442 165999656 1000000000000000000 135970613 99672379 61976560 3605637 1000000000000000000 426390013 331931473 38868673 262811586 1000000000000000000 205116239 176876451 148901810 88838030 1000000000000000000 543007148 306809014 140141530 509534597 1000000000000000000 866884670 184284329 775230172 844398055 1000000000000000000 154196495 44436064 128553678 30875662 1000000000000000000 869177197 314444161 667274939 434806347 1000000000000000000 738517255 191154253 482643518 29104695 1000000000000000000 603336111 101140062 368613904 595216260 1000000000000000000 556707107 324605090 339629961 539482453 1000000000000000000 113427216 22796202 7677380 98541057 1000000000000000000 796942589 414939044 720113851 516676801 1000000000000000000 972617513 507542413 760408811 481658414 1000000000000000000 899341169 49208310 90161448 196918236 1000000000000000000 557652822 164616820 52425789 344268802 1000000000000000000 896369866 474080456 409258887 468928870 1000000000000000000 106265942 54759581 6560123 11493110 1000000000000000000 637401013 152523809 387703383 458658434 1000000000000000000 456424897 225120527 242431656 407707521 1000000000000000000 561533861 342713177 215978461 526964447 1000000000000000000 938790108 438560840 231033147 295895008 1000000000000000000 711629144 26721098 335399187 373901864 1000000000000000000 901356245 70585351 796163663 149231096 1000000000000000000 481972470 231341922 276594222 349174000 1000000000000000000 204597040 81127022 137331343 96405425 1000000000000000000 996919352 380919034 629158464 482822589 1000000000000000000 9897435 686277 6901427 60548 1000000000000000000 303630708 143744614 276722850 229205642 1000000000000000000 588748297 554029625 84864582 185701671 1000000000000000000 107952816 16852656 9659353 24491634 1000000000000000000 613196640 181157395 417928817 406558011 1000000000000000000 10930085 3429290 1392731 5197249 1000000000000000000 449142865 131295824 4447126 436096351 1000000000000000000 883151663 22727261 41283029 3012731 1000000000000000000 825596408 595946715 500657010 47779790 1000000000000000000 41893967 31597696 31395422 34737940 1000000000000000000 407535013 127699616 253029258 207494467 1000000000000000000 110459423 2765713 78408365 86164091 1000000000000000000 955196705 717600618 848900632 833354653 1000000000000000000 569228824 251670865 447832030 494348804 1000000000000000000 459106483 449616474 32802666 325275829 1000000000000000000 462551808 316393021 370385959 219288719 1000000000000000000 398410881 59911066 49751811 358432368 1000000000000000000 27315561 3269354 16265313 9632425 1000000000000000000 89545245 58581416 22471194 23397579 1000000000000000000 238533488 178555382 169816537 6302227 1000000000000000000 386740014 283119279 15478364 281253077 1000000000000000000 25156182 8396643 16495710 8957824 1000000000000000000 328171340 175092639 153563764 96149598 1000000000000000000 381538302 19563613 831888 336428787 1000000000000000000 984686616 471625334 344371148 346335259 1000000000000000000 602704529 103374453 47254548 559329560 1000000000000000000 653340950 307902317 569912696 470216244 1000000000000000000 596715412 218418378 245326775 79623750 1000000000000000000 124637937 33533685 14001019 80066931 1000000000000000000 512779298 371292563 337172087 50951380 1000000000000000000 921174795 561159034 601254580 97817743 1000000000000000000 12698035 10226607 5090999 9343093 1000000000000000000 532515564 194226365 16169987 13870164 1000000000000000000 46191104 39236984 9820897 40299978 1000000000000000000 370811566 5535662 25090103 311359285 1000000000000000000 482633020 163580117 267712254 393773553 1000000000000000000 65211803 44442868 29102074 50164412 1000000000000000000 129637486 57316461 83575568 1462604 1000000000000000000 835624268 761813450 359216775 587075193 1000000000000000000 165793933 118303196 27446249 149955528 1000000000000000000 342908364 174880110 115044167 266165625 1000000000000000000 64285952 46070708 17632827 11814682 1000000000000000000 596255345 47665838 12411186 253478360 1000000000000000000 108493379 41065519 9605293 96796249 1000000000000000000 415819309 390664065 20832822 323445448 1000000000000000000 131941575 87350216 47119852 64166679 1000000000000000000 248914115 63811548 95067865 220577284 1000000000000000000 971789268 299839982 222656303 562733590 1000000000000000000 117622940 3595471 82982061 84355641 1000000000000000000 960613434 246386052 237977900 672942085 1000000000000000000 836652469 694839764 816082700 712887216 1000000000000000000 224197445 28400835 48787910 29218293 1000000000000000000 61511310 21516672 55284331 42322359 1000000000000000000 35643462 14156495 10722430 5507067 1000000000000000000 841085173 617638382 86251029 814348698 1000000000000000000 416427132 95513 364604785 359786418 1000000000000000000 465847647 111547458 86261822 204716278 1000000000000000000 655940695 313529372 4384368 149926628 1000000000000000000 580007390 28485717 443336643 408579208 1000000000000000000 257287670 186424638 55242476 106210312 1000000000000000000 572114390 287009118 569699299 28407986 1000000000000000000 210765114 64817071 197150949 32292809 1000000000000000000 297486348 46666024 176605134 86249839 1000000000000000000 112665003 29197928 19686783 57016003 1000000000000000000 526781364 207087459 484538564 17390650 1000000000000000000 251793209 49040092 197414473 222332894 1000000000000000000 472329652 201350422 92882569 353881303 1000000000000000000 831900294 383590772 274547310 509202322 1000000000000000000 626970385 587319823 247226081 574244107 1000000000000000000 546388211 448807858 51535359 129828959 1000000000000000000 230795150 157827894 121515403 87168848 1000000000000000000 461878069 372006565 54671193 235388796 1000000000000000000 873744288 740975022 379570833 685916272 1000000000000000000 568958999 285762986 162809648 438400978 1000000000000000000 443384545 260341138 343108490 18082036 1000000000000000000 481762430 424605692 262850040 133518613 1000000000000000000 475722972 129820997 224819669 234219006 1000000000000000000 444112812 393014316 72611071 408405555 1000000000000000000 846663367 592187060 231930932 825311914 1000000000000000000 649801624 371755539 354174347 417050192 1000000000000000000 581332658 550239770 115705272 393048097 1000000000000000000 919533243 478344112 614941579 716962101 1000000000000000000 900559042 117058302 865412418 238711459 1000000000000000000 43110518 4371132 5799064 23813113 1000000000000000000 295845077 116407030 161466743 188132593 1000000000000000000 235965682 65988588 162126258 144291393 1000000000000000000 397589486 350733751 355147431 204581294 1000000000000000000 119586801 84434493 118490937 94434757 1000000000000000000 22821836 9892105 10473695 10247945 1000000000000000000 68125640 30819926 10851593 56139611 1000000000000000000 173892248 16322686 164305722 161338093 1000000000000000000 185377198 83723286 66511550 172806840 1000000000000000000 803032797 528495452 761398667 266922119 1000000000000000000 212368190 53696746 169801214 57048510 1000000000000000000 984794930 634851951 697591429 693481951 1000000000000000000 984496739 573342015 561972843 297544801 1000000000000000000 417143899 363322913 101851038 358082661 1000000000000000000 624101482 532029836 368589944 449454977 1000000000000000000 132644488 68788587 53723875 13403460 1000000000000000000 986419979 389491446 560140736 471117395 1000000000000000000 261632162 197522728 57892582 234076689 1000000000000000000 808042084 254486154 613946113 564542584 1000000000000000000 374275904 174919510 149390419 292069872 1000000000000000000 314404750 119057333 37653108 126786315 1000000000000000000 947272529 349060040 138232156 782823981 1000000000000000000 552265023 31287809 206188416 98101303 1000000000000000000 51328892 26351864 29628126 32277586 1000000000000000000 690963299 635316498 540356460 581879727 1000000000000000000 51394428 12267167 30723377 21162127 1000000000000000000 410716939 272620315 374808534 165994496 1000000000000000000 154909669 85157349 3752985 37309848 1000000000000000000 305656530 146339463 169895721 302887916 1000000000000000000 337462465 317218661 108693978 2730969 1000000000000000000 697083758 164461554 452016445 496018673 1000000000000000000 43970279 29900039 11569973 17334233 1000000000000000000 763104699 362487020 319321195 398758530 1000000000000000000 780363188 530662728 242472945 717002557 1000000000000000000 221806751 44642691 210597732 66775761 1000000000000000000 649539353 381466515 108343004 424786891 1000000000000000000 497810854 379615709 193471443 373250689 1000000000000000000 318735048 132704658 143196539 136263338 1000000000000000000 429602371 84338683 385741609 50787861 1000000000000000000 463690621 350337432 76038114 96385895 1000000000000000000 89331523 10344092 26997580 56153851 1000000000000000000 98710991 42832935 45666539 71189656 1000000000000000000 247427603 162064646 39096089 199668948 1000000000000000000 278963942 10646980 244304853 105622842 1000000000000000000 972061657 141414784 239090841 940363838 1000000000000000000 485901869 26213115 373951065 105471116 1000000000000000000 933715093 793207183 770716641 570673172 1000000000000000000 33610241 15541980 14456554 7005108 1000000000000000000 217584667 36087806 117105879 103553874 1000000000000000000 685592595 77771222 24426419 3420557 1000000000000000000 74238035 10677834 42466105 24586644 1000000000000000000 3172940 2351854 1652904 1554628 1000000000000000000 303273289 183484698 294147398 158854730 1000000000000000000 695838200 179436400 643833496 205134690 1000000000000000000 768243417 629038059 728853690 496662831 1000000000000000000 263318391 187879250 219108440 241195842 1000000000000000000 13979302 12688178 547715 12197689 1000000000000000000 345311148 161687509 308328413 138678109 1000000000000000000 105836004 18079227 73721325 74726893 1000000000000000000 256907850 91852727 59487880 57835231 1000000000000000000 554220899 164815415 358148651 191010685 1000000000000000000 935442379 344729440 862934275 58667134 1000000000000000000 814602535 594949371 144014645 57913640 1000000000000000000 558641974 454743419 325404769 517608619 1000000000000000000 471738094 78820245 444618219 376904075 1000000000000000000 633694036 407096251 608602663 87887843 1000000000000000000 310039403 259681635 276227503 159646456 1000000000000000000 216014004 6409344 5073365 80252802 1000000000000000000 846120153 93131126 240764860 102757082 1000000000000000000 745923751 148091589 674726463 41057669 1000000000000000000 960665524 429264304 196360737 221257068 1000000000000000000 834870440 117956811 412624888 330870825 1000000000000000000 429174660 123046767 389189621 302204926 1000000000000000000 19769160 19035127 19409933 1918533 1000000000000000000 401447652 190170893 168162667 342067784 1000000000000000000 565770584 2431189 279661304 71034079 1000000000000000000 337684518 152396940 285184578 79977556 1000000000000000000 125271283 117693145 47706611 15493782 1000000000000000000 161086877 47483104 40778041 57003783 1000000000000000000 162623741 116952714 107023285 15539009 1000000000000000000 662658356 552748742 632875908 158683337 1000000000000000000 247435358 23753740 243374195 127065260 1000000000000000000 761903052 311352487 745573993 71814613 1000000000000000000 862275428 552000234 524433336 68946592 1000000000000000000 949509666 732888541 296129820 392766948 1000000000000000000 212999568 132580044 137679570 93305849 1000000000000000000 147181190 120265446 127911710 38892459 1000000000000000000 539813948 380521897 85215363 331265527 1000000000000000000 150893705 90195082 68766303 73692532 1000000000000000000 767793486 310090631 64745086 268342770 1000000000000000000 117954001 30173472 26896367 109872880 1000000000000000000 518333500 420617726 120618693 193468564 1000000000000000000 152325820 111184589 124289395 10209983 1000000000000000000 203553191 149155607 139268691 65486027 1000000000000000000 378836968 281411651 21953467 246707416 1000000000000000000 697317286 444082307 66736451 416030227 1000000000000000000 187950316 148677706 19761494 115092248 1000000000000000000 125129345 33398416 28145818 69040685 1000000000000000000 81512813 75086834 46899312 11248563 1000000000000000000 25431099 25193557 9961257 25065344 1000000000000000000 956087594 475499320 603570063 24120230 1000000000000000000 278134039 174547162 198349837 161888072 1000000000000000000 535134862 441595957 330909954 369371245 1000000000000000000 854050631 30934794 580732969 49885169 1000000000000000000 857673384 501405639 146458956 297619560 1000000000000000000 239637408 987 107647651 70937309 1000000000000000000 677711606 401048321 234359282 510994278 1000000000000000000 489100318 487730921 380977099 471859908 1000000000000000000 437768269 134387599 357556743 187420543 1000000000000000000 602941898 444007334 212921250 550460897 1000000000000000000 763669780 170508998 331366357 100083348 1000000000000000000 511707799 125245293 493275824 60297616 1000000000000000000 235797206 27877859 181278768 179403604 1000000000000000000 279176003 160839217 24016798 248247620 1000000000000000000 859545622 430367974 753777617 278458991 1000000000000000000 145121565 73899000 51482619 54786729 1000000000000000000 695940397 146788350 425856859 438290475 1000000000000000000 724902530 474874165 716067116 587044540 1000000000000000000 472824797 265621435 138812085 278272123 1000000000000000000 732558534 114937568 339481974 245264173 1000000000000000000 757647958 714088891 164616584 622843397 1000000000000000000 245348732 153935389 74773990 91433976 1000000000000000000 458432259 206542482 262675678 437958425 1000000000000000000 841052651 339278016 838560423 642338550 1000000000000000000 625651395 181853978 371087976 504790449 1000000000000000000 69057260 62495993 61922214 57872873 1000000000000000000 266060848 242136647 114740684 80567454 1000000000000000000 669479369 198096382 70978245 603176237 1000000000000000000 190800026 17441066 24437848 40020431 1000000000000000000 910769742 229805712 901075283 311965394 1000000000000000000 387001972 132855604 155140043 245892916 1000000000000000000 678465147 95617244 4315104 488441616 1000000000000000000 768841793 604460980 244327929 617479553 1000000000000000000 401503162 222674274 88916614 46513009 1000000000000000000 270289870 105989160 32760092 180947699 1000000000000000000 264753751 36253014 253927535 202050691 1000000000000000000 562451510 405866299 16036852 118932338 1000000000000000000 416080898 314903159 99916593 232808280 1000000000000000000 960331453 841046153 299576048 559772057 1000000000000000000 880226391 196770691 672299238 403997239 1000000000000000000 482401103 337885014 127322919 352392432 1000000000000000000 767109922 168308303 157512873 164742427 1000000000000000000 330622562 256402668 110264364 258902118 1000000000000000000 396052002 140278368 231682667 12753339 1000000000000000000 795176638 280121441 271223347 162499063 1000000000000000000 317328781 132780084 37557830 170979430 1000000000000000000 124749041 6558892 3414487 28389717 1000000000000000000 476374457 221703197 230551497 203643062 1000000000000000000 787847072 409744340 303058556 656216601 1000000000000000000 750823683 53456921 548600171 505982782 1000000000000000000 19461740 3346294 18532200 2211214 1000000000000000000 761789028 430358418 164306509 12477664 1000000000000000000 340072986 83350307 59559675 57283567 1000000000000000000 207294353 65853257 21134795 81505478 1000000000000000000 26149207 15153282 1603221 20353989 1000000000000000000 463926451 157239632 219183273 253641587 1000000000000000000 329250484 140599751 26682727 315156772 1000000000000000000 189330728 103336694 162204745 72215993 1000000000000000000 781662089 235093691 46356218 397016173 1000000000000000000 627974622 566222500 250541975 614206533 1000000000000000000 220138264 158136881 122282955 24696358 1000000000000000000 977248394 954630707 75753220 212742487 1000000000000000000 894242668 550519082 824259623 333728 1000000000000000000 458244252 424649882 348104492 322973967 1000000000000000000 800211256 705299772 489514987 515484455 1000000000000000000 474297932 85896292 146350881 22653230 1000000000000000000 245279207 102864756 241990914 185973659 1000000000000000000 937078989 896868802 155017034 514368482 1000000000000000000 791153392 324169996 220210615 693961008 1000000000000000000 343248198 282402723 27780353 98496562 1000000000000000000 129346004 54971844 31497398 119175252 1000000000000000000 900728787 16948049 58319610 357926296 1000000000000000000 209388294 89907942 87843136 192374315 1000000000000000000 870856172 736024345 253829115 132326435 1000000000000000000 734858139 93011345 677378509 599455782 1000000000000000000 514536449 7617993 274175446 358813832 1000000000000000000 381682272 124396298 179783645 23238538 1000000000000000000 977611795 569077815 424826396 503834885 1000000000000000000 609334912 507004533 151073998 331378339 1000000000000000000 289184639 186569680 181618788 172217308 1000000000000000000 646081510 210430804 71618733 548232292 1000000000000000000 532561852 296105270 453774055 311038611 1000000000000000000 172856022 62852217 155373359 121331117 1000000000000000000 54122474 30819433 38653062 50034452 1000000000000000000 125414328 68853579 13692525 23535043 1000000000000000000 700856102 694232975 161728364 695004933 1000000000000000000 82336871 49761617 54843499 62279298 1000000000000000000 125056250 111020480 111241921 46894984 1000000000000000000 404649078 91991845 394559439 158302299 1000000000000000000 260207569 69819601 84277592 105821369 1000000000000000000 742537954 136571429 504969901 735257137 1000000000000000000 465569995 52289571 181085655 240425213 1000000000000000000 289311866 191227450 274760815 213101181 1000000000000000000 776155227 596863915 598495899 425346737 1000000000000000000 402224915 327477362 221145956 111185892 1000000000000000000 933661453 631676797 223344445 647141313 1000000000000000000 342465058 100991996 81450074 106096354 1000000000000000000 588243132 449974917 485662521 417789632 1000000000000000000 216350153 100184025 81140249 205035146 1000000000000000000 406242423 351477968 153914591 358421772 1000000000000000000 537150501 405826240 408735279 340358324 1000000000000000000 656703976 84932847 648814205 200433619 1000000000000000000 969196281 395066435 798756204 298415341 1000000000000000000 573607108 144919686 130936181 507279854 1000000000000000000 661483369 595165224 495216545 618911557 1000000000000000000 296504909 251674629 27839516 112850606 1000000000000000000 879273896 46336872 582717643 682517048 1000000000000000000 238749677 120042790 43164800 58881015 1000000000000000000 615598561 46256562 554100174 257390828 1000000000000000000 628978837 427397993 127031207 363652470 1000000000000000000 940953699 810606233 861475779 76516111 1000000000000000000 291531850 30777293 286230439 278526059 1000000000000000000 203230667 134571748 95511808 197338757 1000000000000000000 563848953 444404625 30108463 52739306 1000000000000000000 412624043 273819916 174438388 196606637 1000000000000000000 616456568 452866384 83500507 177596700 1000000000000000000 665643496 586085890 585070318 72027183 1000000000000000000 506266114 214895798 179255548 446758063 1000000000000000000 53087561 29178916 41518379 15455301 1000000000000000000 75160347 57662772 43893594 13002744 1000000000000000000 744598067 509605933 252007205 227511273 1000000000000000000 395044124 206356958 372170310 97377385 1000000000000000000 103979890 21215759 23579910 88400857 1000000000000000000 686478137 457519967 431229842 164129506 1000000000000000000 804508930 193511379 634028196 167012190 1000000000000000000 458480488 67433313 161765348 175546992 1000000000000000000 34438902 7410849 8251784 7644570 1000000000000000000 484538237 344057316 413687428 300720782 1000000000000000000 774358906 400978857 573457465 298354588 1000000000000000000 117258503 110261599 67010529 87681398 1000000000000000000 20964623 386980 689797 754307 1000000000000000000 900397868 505820170 105735488 371022427 1000000000000000000 287473737 139394996 14784486 216160878 1000000000000000000 54495819 37736107 46677099 47320242 1000000000000000000 514019824 373573387 507120815 58320126 1000000000000000000 445413645 275794290 102597799 135278899 1000000000000000000 114189636 90683850 113562700 66967650 1000000000000000000 753117146 404476300 424607387 168893687 1000000000000000000 696751680 60346522 486723418 101334355 1000000000000000000 734036134 105735573 692533276 504410447 1000000000000000000 807459535 34591467 196916893 355631412 1000000000000000000 194424049 30211629 119166176 92348708 1000000000000000000 807050612 470326662 84339125 709613340 1000000000000000000 525046754 309728765 146758220 316426525 1000000000000000000 780023808 539234484 745416305 756224305 1000000000000000000 475251894 17463165 2797430 297459631 1000000000000000000 702973865 113793466 270023174 74979620 1000000000000000000 311610836 158005830 272948374 141779471 1000000000000000000 759310125 511319589 218167111 675367540 1000000000000000000 984714555 796339034 4945784 211805065 1000000000000000000 178110194 6825446 173852481 172494963 1000000000000000000 810427554 318747972 62021722 437535966 1000000000000000000 166993070 81459093 122975471 146897932 1000000000000000000 335589165 250162943 284870881 46875243 1000000000000000000 545360772 333755539 237950709 10229393 1000000000000000000 300388687 248610064 97598373 32911965 1000000000000000000 910053118 587333219 114663894 478640237 1000000000000000000 898188243 714103577 588224445 315641607 1000000000000000000 791859355 444902527 169920012 284636499 1000000000000000000 661362927 415299850 416302524 365462924 1000000000000000000 583006625 277365786 162703283 569473157 1000000000000000000 361967707 49830135 348849081 101622085 1000000000000000000 187059904 32041238 31339987 173838016 1000000000000000000 4471977 3833591 4057069 3583224 1000000000000000000 962289695 146582493 22849693 39787606 1000000000000000000 859267968 640357995 832680830 110242391 1000000000000000000 14947800 12660867 4745912 14258848 1000000000000000000 2268159 800630 1922502 1091259 1000000000000000000 286630247 2030206 150655647 159440503 1000000000000000000 825227649 479401273 815839754 804580697 1000000000000000000 993862099 496519375 692027215 97064726 1000000000000000000 567054900 564040068 459607950 197984999 1000000000000000000 77394265 47316564 75770548 67055200 1000000000000000000 363554014 253994959 165453295 237667226 1000000000000000000 230506779 95908707 99994893 19079497 1000000000000000000 425534681 98459230 323513241 407269607 1000000000000000000 955155648 809737884 675296736 911007895 1000000000000000000 186220922 138479700 162835524 84051032 1000000000000000000 125539433 51468089 51087314 28541299 1000000000000000000 39897842 39541973 14712127 14867515 1000000000000000000 275920127 195677646 264742195 104213543 1000000000000000000 230397978 173387454 83653828 201699862 1000000000000000000 14022314 8463070 10778886 5816868 1000000000000000000 339663634 273124871 196236965 273489633 1000000000000000000 24135157 305200 13940764 15180449 1000000000000000000 963770644 120033711 870947131 491574602 1000000000000000000 515579873 46236882 111356633 200247435 1000000000000000000 61159197 42586215 15973927 27131608 1000000000000000000 217009841 125038833 12413947 84695573 1000000000000000000 885462329 525251596 667769439 883623041 1000000000000000000 668043633 531493727 222132805 263135120 1000000000000000000 107142842 85505527 23493908 68287194 1000000000000000000 400830394 15756743 178397525 159354687 1000000000000000000 416976115 239257923 243332712 273614975 1000000000000000000 624704596 56427551 353971961 454720999 1000000000000000000 226525335 160569834 33891521 17978333 1000000000000000000 227492088 104600709 180572973 31089976 1000000000000000000 530048070 441455641 239840210 174804188 1000000000000000000 894660034 749332400 695373007 304114313 1000000000000000000 470662551 465259644 167928067 95715843 1000000000000000000 697039243 593492899 175143293 280135072 1000000000000000000 129140640 115550143 8235166 7242387 1000000000000000000 234045071 111668012 98074409 30666488 1000000000000000000 959549373 389784821 614479576 605775697 1000000000000000000 419897956 230124079 409545575 323001322 1000000000000000000 620408611 385878998 82281 482180736 1000000000000000000 395719421 319147708 263895492 283030446 1000000000000000000 666679920 91915875 625053899 570590099 1000000000000000000 990430508 331912611 633418319 909300208 1000000000000000000 48008573 26518673 22642500 25914601 1000000000000000000 734759609 467442393 229192786 600184884 1000000000000000000 377682772 244854916 161922623 45448135 1000000000000000000 958442376 852091060 721347115 80607210 1000000000000000000 213438269 97824235 41619335 36250141 1000000000000000000 405894573 12215022 200554585 209855572 1000000000000000000 249062405 68774226 100263126 245977148 1000000000000000000 671617978 361367676 225914041 581669343 1000000000000000000 694136979 674672046 159211552 182452647 1000000000000000000 910274708 59916291 449140184 266049964 1000000000000000000 624812855 347684145 346017218 523176355 1000000000000000000 475516079 280410019 111045238 470745068 1000000000000000000 283002061 48570689 119503147 23224953 1000000000000000000 82770619 48540679 69429117 30378050 1000000000000000000 842174842 386654859 511864042 266937738 1000000000000000000 204756085 118083702 39807750 135010504 1000000000000000000 737231910 540314167 193828954 577131730 1000000000000000000 698297096 280448716 523944643 21367914 1000000000000000000 749932159 303905454 165061101 530185052 1000000000000000000 537601355 189408924 330297550 390669011 1000000000000000000 883313985 564427326 709494048 801522040 1000000000000000000 202895386 83780672 32631069 71001148 1000000000000000000 583017297 75290191 135906133 302424753 1000000000000000000 114024557 94907746 98496278 47748721 1000000000000000000 193584332 39812677 162390315 181029761 1000000000000000000 283840135 24691096 232788148 172791533 1000000000000000000 5166721 4767199 4471798 4533457 1000000000000000000 417994044 120316608 222202960 212407612 1000000000000000000 155116416 26970755 95533206 72070435 1000000000000000000 334308426 237607660 17552571 155737139 1000000000000000000 822178792 409061299 675076691 812938371 1000000000000000000 225748958 45214385 148460892 36245903 1000000000000000000 995718020 860012151 59495143 572810238 1000000000000000000 227662639 56377652 3126441 24324336 1000000000000000000 661480672 297734066 74754006 423366126 1000000000000000000 837621480 142785971 331225572 350555966 1000000000000000000 263848540 209726946 6785234 202624251 1000000000000000000 261936560 140940069 230685353 144126022 1000000000000000000 149221382 65324828 94685406 28399977 1000000000000000000 999440639 557400673 580886551 437630703 1000000000000000000 430957426 179633532 108115440 349071672 1000000000000000000 630754768 97872907 355583133 182648998 1000000000000000000 645310458 82186824 595558934 293532231 1000000000000000000 644433515 45312574 631364643 162503727 1000000000000000000 381513266 22306121 351719959 171130198 1000000000000000000 231582382 155754057 155764419 202251455 1000000000000000000 569209385 373922272 519999664 290131465 1000000000000000000 605231181 292845627 422249528 300231572 1000000000000000000 626239347 56719770 455193324 204203786 1000000000000000000 855152452 98122929 45840721 336013148 1000000000000000000 657627112 225785689 182462667 406253916 1000000000000000000 973519587 553317649 225137540 10215457 1000000000000000000 535762071 153789443 378312022 125301930 1000000000000000000 557630016 515272945 333303530 404032171 1000000000000000000 872648752 842562246 188977466 450341173 1000000000000000000 966633415 226759968 164708294 238396168 1000000000000000000 758925601 416364476 488004181 321815023 1000000000000000000 22147179 10895585 20118861 12490715 1000000000000000000 728279599 568292802 143794908 293977745 1000000000000000000 40858853 23601875 14539295 2064808 1000000000000000000 477402799 77801835 329607492 465268192 1000000000000000000 510803582 368913036 473603852 220885307 1000000000000000000 215393326 162090742 154538323 112097606 1000000000000000000 237105531 4889945 64580475 183265048 1000000000000000000 101287432 26258374 33723364 77306093 1000000000000000000 182557079 163587257 173650253 160502146 1000000000000000000 927432704 630927309 731122117 464492696 1000000000000000000 739517151 211002268 380080869 699543964 1000000000000000000 407698041 301787917 80679720 52613866 1000000000000000000 147678762 46646920 89682812 52170589 1000000000000000000 245750254 36028249 179931193 68419931 1000000000000000000 629501018 466379794 475126057 479939529 1000000000000000000 164106064 12395720 39884919 33868054 1000000000000000000 25067781 25042624 5657910 822360 1000000000000000000 383811134 137095432 241822170 193578267 1000000000000000000 425006752 121065440 179203808 179378364 1000000000000000000 14806392 144080 7050206 2053369 1000000000000000000 597570926 420438700 270215599 227288553 1000000000000000000 686827263 314674551 146637392 491507200 1000000000000000000 303437165 276067795 193918536 166759933 1000000000000000000 259632238 175786946 248549225 79713998 1000000000000000000 766719305 75531107 125454648 320836754 1000000000000000000 786006335 70914667 428781282 180845386 1000000000000000000 90482183 76012357 699147 41159920 1000000000000000000 142998102 35061862 19847910 60230267 1000000000000000000 945882063 768215492 397082238 624828015 1000000000000000000 161982399 962676 155153323 34363776 1000000000000000000 598122032 266518760 218733226 486743096 1000000000000000000 477955315 464838483 461324904 454644324 1000000000000000000 334277065 218203483 224395783 62047 1000000000000000000 610851671 428340587 487272899 537864404 1000000000000000000 514279385 397129611 351377247 481794061 1000000000000000000 84672381 10782942 53708399 19443891 1000000000000000000 568874888 32479761 262206970 250407803 1000000000000000000 52073464 5663240 35749024 49941638 1000000000000000000 776064990 501159003 254369704 125135736 1000000000000000000 864209899 257599004 58761555 607642859 1000000000000000000 759817128 386574914 390665722 40023776 1000000000000000000 676862586 75728919 130438456 292644642 1000000000000000000 717441091 369746646 20497891 184193374 1000000000000000000 468833504 111969466 442883755 190548890 1000000000000000000 64905756 41058596 15429471 3507713 1000000000000000000 456070990 178935080 343322983 280328484 1000000000000000000 477709504 178143857 239075951 101184112 1000000000000000000 60586394 30156895 1428810 6358104 1000000000000000000 505755177 483650990 163854358 488000456 1000000000000000000 333855182 28115639 248926422 226791640 1000000000000000000 713828337 614942626 525912084 433902053 1000000000000000000 306026809 241332644 140210400 276427210 1000000000000000000 500115180 484423726 90169177 84908330 1000000000000000000 506259062 289414589 70147371 364304898 1000000000000000000 145863877 134163182 22700511 82840326 1000000000000000000 390206656 128537491 380370886 318281263 1000000000000000000 126839214 29826633 95752376 97279074 1000000000000000000 521484756 427702722 442487341 109330797 1000000000000000000 642416668 187913362 559031687 287877940 1000000000000000000 188667207 41594637 132130787 143175565 1000000000000000000 157350534 110920066 92373214 122803548 1000000000000000000 332356654 128205990 143970341 140243550 1000000000000000000 703841860 281094415 553389396 632086573 1000000000000000000 35233798 31179808 8777976 26701428 1000000000000000000 80950762 57786288 55150954 65918074 1000000000000000000 499210982 274231931 105338867 479234699 1000000000000000000 758539583 639934657 619355132 372652361 1000000000000000000 457761661 142311700 436665106 58442511 1000000000000000000 843119298 441108529 577913642 533276679 1000000000000000000 305258973 121007431 262272308 160545948 1000000000000000000 4205891 3217517 2473607 1897609 1000000000000000000 860289774 667618453 261485796 8549307 1000000000000000000 526260798 350797237 341655777 286384573 1000000000000000000 286341990 269949286 79578553 107269181 1000000000000000000 914987415 197941813 817201397 16527158 1000000000000000000 414173442 112547904 353239867 284373994 1000000000000000000 733246756 424282249 249280873 653759928 1000000000000000000 702683129 386240112 337305416 662440595 1000000000000000000 252399000 12678761 117810495 15309078 1000000000000000000 247711897 41603657 186216455 4242412 1000000000000000000 951422755 375007894 276154695 624395721 1000000000000000000 324787429 198779881 227315807 297343572 1000000000000000000 813708836 778736834 504345425 187317390 1000000000000000000 589506956 182201845 344582132 181965998 1000000000000000000 647865352 317702717 301475584 278931778 1000000000000000000 370730615 26292877 170463698 72372505 1000000000000000000 106685402 31838710 9867810 86391348 1000000000000000000 185675851 98135746 105571167 165350345 1000000000000000000 29109165 19919612 18448568 21740367 1000000000000000000 726595597 10383261 193032774 369035171 1000000000000000000 755862529 18985284 489532621 425059523 1000000000000000000 486043872 50882910 191299486 165861104 1000000000000000000 862563154 216780034 362019358 796602259 1000000000000000000 964284461 571439974 463916276 491635858 1000000000000000000 86599293 1089939 84749300 38040184 1000000000000000000 68942977 63429686 43524293 6428475 1000000000000000000 129300207 74812568 98530420 72410715 1000000000000000000 304835298 228596844 288843091 181910545 1000000000000000000 232124623 87669953 208036245 94670516 1000000000000000000 672745108 98148686 137879118 228248753 1000000000000000000 317863118 216553212 39714874 107883627 1000000000000000000 23623489 3584341 11604781 20943163 1000000000000000000 536020195 405672768 398467938 352457842 1000000000000000000 682820933 625233816 33293333 625963728 1000000000000000000 359377937 43795084 96363080 184803148 1000000000000000000 795118460 103184605 192761506 694724867 1000000000000000000 95443509 41215451 85143456 86697228 1000000000000000000 574774955 382865169 164305652 115313813 1000000000000000000 584226239 25037037 15865139 324215062 1000000000000000000 780441568 383927936 626305450 343825634 1000000000000000000 960162286 533401178 771027427 578078525 1000000000000000000 311516028 73185066 139185319 129897166 1000000000000000000 305170017 279165264 130326750 218096864 1000000000000000000 45218716 8608403 28871424 7887007 1000000000000000000 203480628 108827769 96052123 16082183 1000000000000000000 627585791 172690026 529312045 305804947 1000000000000000000 796628645 74279219 411582653 614440672 1000000000000000000 674789135 131819388 415382093 325107507 1000000000000000000 10416881 6938734 1909570 4262633 1000000000000000000 41373670 22493632 686084 8225173 1000000000000000000 396273110 94665279 212189466 311315043 1000000000000000000 169381906 133403332 130738457 46947012 1000000000000000000 658577404 328838890 70128830 70163356 1000000000000000000 436048997 13145658 142015794 257608369 1000000000000000000 944793919 701986928 724772794 434922427 1000000000000000000 439174646 312363898 24285548 273131970 1000000000000000000 762624368 370348480 259207744 289672378 1000000000000000000 92738528 29548337 13966118 15432220 1000000000000000000 460539039 74338320 14198206 106459738 1000000000000000000 852303760 515705132 564590659 472215456 1000000000000000000 908147413 560460966 144885956 514985606 1000000000000000000 42898765 14736322 33935729 25939336 1000000000000000000 824655313 537044187 392697054 256518898 1000000000000000000 595440954 145675716 549957699 305072262 1000000000000000000 101046361 87815072 35493969 50115723 1000000000000000000 98882491 88010986 84497365 37680082 1000000000000000000 349856246 71380283 208002253 223977582 1000000000000000000 449605043 402298482 160056087 442715900 1000000000000000000 719937882 625380216 371346493 426585704 1000000000000000000 333242321 306122113 322906481 42139091 1000000000000000000 762965952 495352488 235981203 416292978 1000000000000000000 918670298 64327355 170922049 874960449 1000000000000000000 589013244 72705683 172913255 574503259 1000000000000000000 581522773 488903414 141532490 431175208 1000000000000000000 95506292 38401827 68014667 39032874 1000000000000000000 357319326 300800966 332735218 31751372 1000000000000000000 377454834 8040625 290685136 212160346 1000000000000000000 333265604 152279487 98089410 194417363 1000000000000000000 110809672 51772254 9471148 5246558 1000000000000000000 936501696 44747966 7908646 521362367 1000000000000000000 301718318 27509999 100584516 292712941 1000000000000000000 357485739 266423555 122554749 145411273 1000000000000000000 605404791 129013290 499383076 329487928 1000000000000000000 462872814 457661930 283336614 12279986 1000000000000000000 482043761 332491171 233487971 101676964 1000000000000000000 972675529 371270243 375140708 823651766 1000000000000000000 523636586 304260077 320657442 340207793 1000000000000000000 95627613 1321235 6699280 14881291 1000000000000000000 252290715 222191023 43687065 230010966 1000000000000000000 790717178 574078242 217538012 245490516 1000000000000000000 472357266 172561780 127028659 65426421 1000000000000000000 736377931 635602244 244574493 532166265 1000000000000000000 491168049 183705275 458799637 138966928 1000000000000000000 398588784 84053844 208056676 336266426 1000000000000000000 706102608 474984915 587490049 601251716 1000000000000000000 525816790 385804022 82292983 173863946 1000000000000000000 369949509 265322504 178354930 224879428 1000000000000000000 246832116 139255827 143254713 234728176 1000000000000000000 248596930 114064056 130524319 97269657 1000000000000000000 273988755 46127768 90771560 217922765 1000000000000000000 869292323 600793481 39700379 215236002 1000000000000000000 961481905 26210213 472258438 927515100 1000000000000000000 11384809 4143552 10687828 8374654 1000000000000000000 629114069 222067267 215950032 81848304 1000000000000000000 743766425 500304626 504094656 687067601 1000000000000000000 666106894 268367224 602640568 286194052 1000000000000000000 796089149 32958548 734059874 665159714 1000000000000000000 361590089 303164798 343580154 69582499 1000000000000000000 60538758 5593730 16303868 27235679 1000000000000000000 338275134 63604862 298047081 206748044 1000000000000000000 548200346 514103120 47803886 160959590 1000000000000000000 121945396 35149040 7798005 44582797 1000000000000000000 294916905 278478455 196639289 82217925 1000000000000000000 111359943 67159767 104531480 32190329 1000000000000000000 669478960 191979467 431679479 376438189 1000000000000000000 659265505 116841733 420083558 566414283 1000000000000000000 103471180 82991975 96359465 46598580 1000000000000000000 949480378 704105928 341589777 169216329 1000000000000000000 792759583 251737546 649611395 60696184 1000000000000000000 994991793 9420812 727804869 341779109 1000000000000000000 695213643 93765389 159858684 264260936 1000000000000000000 288810510 119677632 213549071 146442458 1000000000000000000 67265867 40795282 9880956 33224741 1000000000000000000 169953448 145981283 165226355 79679719 1000000000000000000 735734603 647126231 287080324 600845515 1000000000000000000 848580501 408126956 35574993 642710679 1000000000000000000 327656228 305208895 274167479 2534638 1000000000000000000 967800777 71374389 212689671 4048708 1000000000000000000 13343153 850562 10617741 3154299 1000000000000000000 868204242 700935901 277681324 483450897 1000000000000000000 429764444 47937177 50305084 391468411 1000000000000000000 937508369 765193565 30391148 439831923 1000000000000000000 87726181 3511150 86374367 77492752 1000000000000000000 976193199 537128993 659207593 541263064 1000000000000000000 531229300 294929011 412781372 395544541 1000000000000000000 604217033 295666755 571816921 566689814 1000000000000000000 913183499 556186175 801221504 402542028 1000000000000000000 313822330 23676407 295354349 89211160 1000000000000000000 405462255 74216489 137227054 5279412 1000000000000000000 115271831 58391112 38220595 78792165 1000000000000000000 467954944 24400719 55412115 250197326 1000000000000000000 194810258 185925833 44346740 111232067 1000000000000000000 221420302 79036165 18839777 136157831 1000000000000000000 717405838 71450428 132853679 551282085 1000000000000000000 412697947 186481328 150463706 360614349 1000000000000000000 345719680 271763546 185994284 325580649 1000000000000000000 350767463 139395303 44622326 320233268 1000000000000000000 573348030 543203333 365795487 221245643 1000000000000000000 778630577 499984284 480867805 471052403 1000000000000000000 180782020 81833474 71966419 174880454 1000000000000000000 982955771 915362590 785566999 916670211 1000000000000000000 349053156 255787404 215798618 267743652 1000000000000000000 817547268 653081932 262879298 566340319 1000000000000000000 293456553 23592163 258541964 198236745 1000000000000000000 390332364 348174788 259956006 26463860 1000000000000000000 905912168 259850205 315707641 472367344 1000000000000000000 477383992 32704122 273624872 130772204 1000000000000000000 645614211 537024876 644810365 279119477 1000000000000000000 40661655 21560914 22976251 18184209 1000000000000000000 546765214 159676065 302408752 297515459 1000000000000000000 209328578 105457353 47313450 36312875 1000000000000000000 38861617 1673704 15743635 29232575 1000000000000000000 578195085 248373670 570979202 368339720 1000000000000000000 21600861 18870435 3447478 15088995 1000000000000000000 27365329 14972793 401627 13368960 1000000000000000000 475033733 291896219 432902668 436322527 1000000000000000000 628582464 277242241 28695503 37882544 1000000000000000000 113811402 101254487 74755105 13280467 1000000000000000000 433023004 93676069 159756867 94441131 1000000000000000000 294056737 19038017 232165159 125161903 1000000000000000000 144660691 40971621 43027687 16352725 1000000000000000000 263477584 256075949 127331179 80379368 1000000000000000000 811078553 344627696 264490085 170760143 1000000000000000000 330089012 35488880 172261022 306463635 1000000000000000000 18852359 9655355 11155862 12149098 1000000000000000000 375588105 246240765 65827218 72385876 1000000000000000000 283578847 235993670 158342837 30052879 1000000000000000000 897270056 842866343 448821512 32404842 1000000000000000000 789426094 545299805 607482143 776388774 1000000000000000000 265830537 197127935 147557434 154644864 1000000000000000000 582920470 271957645 88656926 91544013 1000000000000000000 166019322 131481096 97210961 134332824 1000000000000000000 326894209 150203330 184385315 147584970 1000000000000000000 115919183 18401200 76069078 55105864 1000000000000000000 886539535 789797999 206520849 870981416 1000000000000000000 349616842 231538551 321401942 311521900 1000000000000000000 169593106 79123144 47195323 145687126 1000000000000000000 840433526 517259928 412874495 542072621 1000000000000000000 384821662 278837246 122426302 120509091 1000000000000000000 25862092 5884943 19277274 25246072 1000000000000000000 863817834 133985756 532686276 513870568 1000000000000000000 655372217 647995286 288530328 154542980 1000000000000000000 335150793 148424195 223647145 320387156 1000000000000000000 455467863 216026138 167360164 92574378 1000000000000000000 941464666 601640269 418168474 595273813 1000000000000000000 926674782 583659500 556948416 227839171 1000000000000000000 844930818 465121483 306039955 675644898 1000000000000000000 956749871 50872217 789004973 168136756 1000000000000000000 344996092 183028602 301187946 38638767 1000000000000000000 313461489 62219713 133856195 184825990 1000000000000000000 353318135 236363655 160522968 81670916 1000000000000000000 889492106 87319925 210104742 872060199 1000000000000000000 583983801 366371258 68456865 14840427 1000000000000000000 431633871 87336237 8762863 358896164 1000000000000000000 334387609 181244659 130451970 38325115 1000000000000000000 501861967 465232799 60594640 325472114 1000000000000000000 448346814 210853808 56988903 53765247 1000000000000000000 52586339 6662241 31831857 19668619 1000000000000000000 386418067 247872927 50601225 295544811 1000000000000000000 17633353 16569830 14901342 4961757 1000000000000000000 542990202 261217302 60127172 367253925 1000000000000000000 89424904 43465963 47022315 69406787 1000000000000000000 950974579 663337274 904300316 3465661 1000000000000000000 762081370 705377180 144034207 216453203 1000000000000000000 209466483 85901963 165561883 41828431 1000000000000000000 777250052 16143430 340394897 242949794 1000000000000000000 341664431 48769254 215913902 311871784 1000000000000000000 914676904 455417937 248445437 261094150 1000000000000000000 688232404 215040900 563155456 621052335 1000000000000000000 976044284 356289044 22157440 336770255 1000000000000000000 190117792 155990265 36371221 96535310 1000000000000000000 996356119 836225461 368084154 535143936 1000000000000000000 977339807 413116431 966397739 658984724 1000000000000000000 351852380 118754293 345492659 122899789 1000000000000000000 509986139 133399573 4138738 259276786 1000000000000000000 680127792 188800069 95079915 339073173 1000000000000000000 511459729 29649929 411743969 424385230 1000000000000000000 887189035 131770662 657317884 554491219 1000000000000000000 353787216 65480445 40556647 189528330 1000000000000000000 86733251 52578761 49396805 77660731 1000000000000000000 513767102 346117830 238188489 393014586 1000000000000000000 152939114 75851583 133092750 99976853 1000000000000000000 879443010 561532273 493776012 102074026 1000000000000000000 444841755 326700516 275441454 143562636 1000000000000000000 631320446 417474185 125118371 518196509 1000000000000000000 731318074 8806878 197604541 398081961 1000000000000000000 813872985 785529985 200197964 333634972 1000000000000000000 969786697 94956432 639901643 57671231 1000000000000000000 522123348 454509687 400065890 20675215 1000000000000000000 857537405 117819687 94058166 767273628 1000000000000000000 995840764 360371112 75733079 734203858 1000000000000000000 637315459 28591777 475129868 202644495 1000000000000000000 136813683 96566684 28916144 87050712 1000000000000000000 384748051 353073409 383119914 200347013 1000000000000000000 258101708 181223728 252901203 115875055 1000000000000000000 860519308 850394317 98686049 597946489 1000000000000000000 384606156 76738020 188390286 211307619 1000000000000000000 808847769 266127009 784702968 698208200 1000000000000000000 655950386 648889315 449121022 21269762 1000000000000000000 929054736 10750996 418408941 499581748 1000000000000000000 204844674 163584510 35503354 160753747 1000000000000000000 72076871 48922346 39892644 49252451 1000000000000000000 614806796 9641246 306562929 579579789 1000000000000000000 998823167 112333621 738705001 622537889 1000000000000000000 523763378 365756009 24120054 153991493 1000000000000000000 481052240 3336893 24650455 317674377 1000000000000000000 733613888 547376861 190751007 157442234 1000000000000000000 425157959 15286036 93220253 419632887 1000000000000000000 331019588 235077625 311423884 254539350 1000000000000000000 823851885 698822681 166145569 92873863 1000000000000000000 65140214 3719988 701986 64860140 1000000000000000000 87760053 18312167 50172108 9475421 1000000000000000000 601939820 346138210 522885295 58141985 1000000000000000000 172780898 44569806 87090625 32620574 1000000000000000000 304161559 189043027 228165509 276789921 1000000000000000000 265128981 39383032 3236550 240588327 1000000000000000000 92560740 43826827 57140207 85626461 1000000000000000000 688059958 618153518 402817781 137991368 1000000000000000000 919956826 556048700 78211401 19564320 1000000000000000000 757692206 356582932 492742765 349606773 1000000000000000000 913066725 332185927 586815310 492720109 1000000000000000000 534884779 138816694 40459822 486370688 1000000000000000000 826747759 142830150 584026245 99555037 1000000000000000000 457230478 399365122 305746411 334092437 1000000000000000000 845547529 350344942 694798073 189635158 1000000000000000000 259255131 203654655 183501277 177448316 1000000000000000000 883354821 505799403 804895994 414508582 1000000000000000000 452317435 150601188 283581552 210223203 1000000000000000000 276205444 157096276 98687878 2638429 1000000000000000000 921049111 627821587 846868254 911022348 1000000000000000000 511602121 393650722 300900680 395335952 1000000000000000000 679231217 108041383 70212683 391229271 1000000000000000000 123106898 8603478 99725799 34921931 1000000000000000000 579898281 234473641 497270385 120409357 1000000000000000000 190018128 114586039 31481562 11140472 1000000000000000000 835784510 652260601 52432773 673024848 1000000000000000000 553370753 464485255 385490449 247813911 1000000000000000000 930749330 193559889 599072387 497934341 1000000000000000000 499924333 262952758 339816806 53108525 1000000000000000000 461562055 397405319 154068095 31092364 1000000000000000000 597359684 520228408 392000977 457552551 1000000000000000000 214078760 193470226 98810641 177403834 1000000000000000000 326708226 142557576 49944730 178667490 1000000000000000000 824088233 189034673 57181695 245050087 1000000000000000000 577583763 187542307 212564022 302044370 1000000000000000000 490911521 24054798 490744098 483106592 1000000000000000000 767234580 129752988 149828298 600271176 1000000000000000000 446014598 264666651 426068684 413259099 1000000000000000000 13710328 3569515 8576388 8962482 1000000000000000000 981622601 590833514 942486224 107518175 1000000000000000000 264639529 223848184 93550872 124444823 1000000000000000000 625758065 497506590 15105169 43235496 1000000000000000000 130348637 48109707 14764396 63701113 1000000000000000000 880393310 793775733 359180647 74397774 1000000000000000000 426756813 400070323 207865212 123338167 1000000000000000000 731881279 309306962 177776600 386752046 1000000000000000000 851137550 198007045 693268058 173763077 1000000000000000000 177174128 155742473 125237758 17146528 1000000000000000000 597724973 1761720 478264126 549862324 1000000000000000000 471597503 63727 151753115 430682953 1000000000000000000 948592344 328064651 607841771 330610554 1000000000000000000 564562991 437395889 370322169 346468640 1000000000000000000 58017695 49224159 51881716 8334074 1000000000000000000 561604538 306026062 510455471 33943986 1000000000000000000 761582422 289422482 590256706 16877965 1000000000000000000 471535604 279635373 273830670 191102931 1000000000000000000 100180572 31982929 87499538 30811863 1000000000000000000 76373858 53041230 21547246 66138126 1000000000000000000 78764904 42990378 56115265 69520439 1000000000000000000 605533327 142309851 82366327 498114800 1000000000000000000 827919655 597641589 232559302 620979323 1000000000000000000 29096313 6033948 27729938 9667799 1000000000000000000 582221726 126728631 60822515 514110482 1000000000000000000 963517396 64169853 208470704 37506796 1000000000000000000 105902937 47986820 79730654 13756310 1000000000000000000 537491092 145859587 433068804 496519040 1000000000000000000 651776584 299333965 408976537 149460716 1000000000000000000 622774514 270947817 598747638 210345317 1000000000000000000 546139679 127658307 86783693 339887541 1000000000000000000 633404001 298919791 58038343 126749800 1000000000000000000 459823585 339021120 247579259 397971324 1000000000000000000 604000118 320059223 392144378 210222015 1000000000000000000 299778399 121350354 211750989 189538695 1000000000000000000 291581222 218827954 261380939 104040308 1000000000000000000 458903959 113232736 64518979 429390408 1000000000000000000 210036355 107819999 100743828 195903367 1000000000000000000 898859445 723476512 737975323 685963033 1000000000000000000 767769495 182396668 681684281 510518413 1000000000000000000 284021975 41295665 144427223 276356849 1000000000000000000 488916721 476007460 421289770 386759501 1000000000000000000 707060261 236945334 32968542 178235844 1000000000000000000 301456085 257312196 179206757 27241605 1000000000000000000 370497071 283172842 145287737 260509332 1000000000000000000 912846347 713060807 759158923 176856194 1000000000000000000 105034460 83033209 100679934 21638266 1000000000000000000 143013940 44055847 44852607 47638574 1000000000000000000 620867408 453942880 44817969 241687838 1000000000000000000 881639630 535574821 503456558 290998202 1000000000000000000 772956840 56743462 14341247 595856746 1000000000000000000 199256316 183615071 197910281 37662339 1000000000000000000 605982440 364389151 602253263 536962253 1000000000000000000 845366184 275354802 97400068 701119836 1000000000000000000 677728703 170381127 35637384 42535151 1000000000000000000 439580851 312394598 28225590 410902670 1000000000000000000 434380364 240026374 285222909 110359728 1000000000000000000 148030789 121141390 8170715 97853842 1000000000000000000 833533594 771347058 659983665 41877760 1000000000000000000 443141245 112678809 101379517 172332315 1000000000000000000 1260889 16186 617779 353633 1000000000000000000 186364961 70929047 31903711 161074507 1000000000000000000 498204890 494391338 92702500 114390867 1000000000000000000 101595019 19310912 38756668 16101852 1000000000000000000 946940492 749435671 507206866 464710030 1000000000000000000 213206683 71242973 183774812 32828596 1000000000000000000 293514154 20195264 41225014 34043763 1000000000000000000 76386981 9021875 20859730 7955653 1000000000000000000 609889095 160515398 99702319 588303498 1000000000000000000 559191105 401455954 155481306 387854309 1000000000000000000 67913386 46661357 25894471 42632426 1000000000000000000 461935770 430528884 129321206 374171166 1000000000000000000 416377413 122606804 285448158 134385471 1000000000000000000 745371714 154390864 152405787 285314319 1000000000000000000 516705584 291552793 106114453 274418687 1000000000000000000 521896896 161460021 53275534 406977559 1000000000000000000 760346348 718799066 661512332 243568736 1000000000000000000 174695555 164489910 89849981 27471465 1000000000000000000 454846608 32407792 131744728 330510882 1000000000000000000 59018364 46960173 12824532 7289788 1000000000000000000 61870018 24986776 31675712 57111556 1000000000000000000 977307990 871214406 831707512 877016905 1000000000000000000 191834993 138067310 96351204 46919233 1000000000000000000 237137346 179223108 117286056 165306431 1000000000000000000 837824299 743241673 817159042 400635045 1000000000000000000 540680226 176923226 511076586 487852702 1000000000000000000 226248163 56383323 3939793 68379950 1000000000000000000 616507284 493442690 366223635 331995948 1000000000000000000 220840806 118968709 142963875 45865335 1000000000000000000 404436455 272608027 294432624 378096000 1000000000000000000 65940093 9894429 14786174 34973645 1000000000000000000 903530455 66893924 141621215 800406286 1000000000000000000 520623919 294691313 385284265 221667759 1000000000000000000 340115757 283990473 52490598 22401030 1000000000000000000 360457999 170550172 355132471 99060375 1000000000000000000 247440542 51459540 167197664 24594459 1000000000000000000 443788646 309105363 271432578 150542453 1000000000000000000 857635359 402664255 761852773 538621495 1000000000000000000 930402266 841917265 131176569 484753222 1000000000000000000 825179132 681269468 457281333 813532065 1000000000000000000 798829827 295284486 642428599 17531736 1000000000000000000 69130492 13019131 41597002 67300545 1000000000000000000 683017908 470816421 512608512 564183424 1000000000000000000 468452212 132067173 36248673 71874741 1000000000000000000 957086148 800685912 15625695 622503989 1000000000000000000 539907314 9912957 199472208 511586735 1000000000000000000 626469944 283118957 514675461 418654665 1000000000000000000 46800371 1844051 46684913 18439830 1000000000000000000 885478078 450778184 874748085 17910135 1000000000000000000 613572559 553891940 232417581 232787242 1000000000000000000 593661119 50148654 554614915 36961304 1000000000000000000 627404550 407153366 108678414 442578069 1000000000000000000 78794235 32263034 31363059 28442748 1000000000000000000 27738280 22287778 19080040 9199779 1000000000000000000 464191558 401556391 34331276 263589582 1000000000000000000 243104539 58061074 107059068 236648270 1000000000000000000 113444014 95505870 92053413 63101142 1000000000000000000 639917536 627216566 404079401 589288248 1000000000000000000 79714637 44869780 55346642 10269619 1000000000000000000 436085653 355013048 48932794 282958779 1000000000000000000 729345497 386564927 527028315 387088294 1000000000000000000 563340662 304488878 451063398 402688443 1000000000000000000 317022517 196631790 209058425 1077253 1000000000000000000 447795760 175937352 424031832 314627868 1000000000000000000 365085171 290343532 156391777 24015342 1000000000000000000 870174846 695974466 814411172 595302934 1000000000000000000 348055872 327187463 57282778 156027334 1000000000000000000 174333753 122472790 124360734 168537621 1000000000000000000 370081251 278413249 355484757 237917210 1000000000000000000 607190311 306623970 272298769 217580164 1000000000000000000 531412425 332360728 117417549 381337518 1000000000000000000 949639573 765542654 848311674 277398499 1000000000000000000 173310833 22261733 104074732 141162749 1000000000000000000 540007545 44856584 466695221 376862635 1000000000000000000 878973589 604784791 304987262 684843328 1000000000000000000 856308102 483854562 26324461 596685622 1000000000000000000 973588292 749352117 892761857 799169716 1000000000000000000 625171242 14708987 296810803 398456192 1000000000000000000 424789077 178507894 252060767 169318039 1000000000000000000 848282495 59836556 784649143 682073283 1000000000000000000 20943731 5574990 10214325 6116654 1000000000000000000 528278743 254666653 383268851 378301929 1000000000000000000 336206718 76695665 2184602 260536519 1000000000000000000 764089801 533736905 357238265 42194675 1000000000000000000 285763110 104747082 11234099 233027431 1000000000000000000 432048915 232454439 87306939 143876655 1000000000000000000 921310863 834290072 481374321 873411968 1000000000000000000 967204794 659131688 502584018 638839959 1000000000000000000 320003115 263391871 65564454 296619684 1000000000000000000 310073024 81409210 235045029 51613620 1000000000000000000 61132568 46452959 804221 44724566 1000000000000000000 247525899 96170812 3510147 11842480 1000000000000000000 195278299 93423608 18485734 410918 1000000000000000000 307024140 40746215 6069487 276188829 1000000000000000000 816146196 55464189 219527133 235463354 1000000000000000000 867491435 856286341 426030308 200714042 1000000000000000000 817774176 800929187 783816444 7416417 1000000000000000000 808160686 346673577 370826023 253119825 1000000000000000000 173610585 118232628 44551641 89917973 1000000000000000000 596436148 92008811 286315861 414854431 1000000000000000000 381399681 54745456 201154053 65013898 1000000000000000000 681761651 348206591 37516411 479843485 1000000000000000000 732207723 201713686 410554145 208652081 1000000000000000000 242309734 14199518 86403552 220243298 1000000000000000000 150842606 83464428 117284537 61082337 1000000000000000000 237609436 28533408 114586959 61108505 1000000000000000000 719069917 482216159 612561991 708580885 1000000000000000000 627146022 104408878 186455597 592503589 1000000000000000000 559964230 540915816 272617576 311046462 1000000000000000000 487946572 352000204 473304942 440344486 1000000000000000000 106349571 60643708 18326600 30920928 1000000000000000000 112990516 35727941 37834564 41194146 1000000000000000000 166327788 135912941 34668063 25159932 1000000000000000000 313478666 168461819 219138039 26631849 1000000000000000000 526519216 226701284 260788426 268555615 1000000000000000000 26021607 5146400 25959800 9072642 1000000000000000000 502505994 233642217 199250400 377030949 1000000000000000000 478886197 372296008 205861782 166980052 1000000000000000000 957841965 461519909 803119779 56939051 1000000000000000000 552982299 116558042 269318117 134227932 1000000000000000000 975066356 77775857 21884274 543536826 1000000000000000000 956020555 26191128 364503632 835582475 1000000000000000000 206026871 85649963 134189532 166701022 1000000000000000000 98986702 88004276 71667002 12461861 1000000000000000000 123497304 116174266 108022598 68400523 1000000000000000000 630901826 168401362 253106988 562307426 1000000000000000000 961106723 59498506 904860064 361357049 1000000000000000000 595653536 437498072 583882092 508879507 1000000000000000000 381255110 137183574 118527891 298984436 1000000000000000000 131947575 26493145 19715835 32964510 1000000000000000000 724401266 454923241 263419988 387574089 1000000000000000000 958023006 181379765 587939055 134910271 1000000000000000000 939801956 7149911 326805555 35543544 1000000000000000000 285800347 210298735 51311488 109983773 1000000000000000000 381423316 194103743 313069854 165262153 1000000000000000000 242278352 120648453 226830801 75695717 1000000000000000000 629731527 384441404 582928215 284050260 1000000000000000000 570569324 63781894 499953937 462491299 1000000000000000000 767395777 83403202 731150184 110948792 1000000000000000000 377394929 12792129 80376662 14932115 1000000000000000000 127654564 45871263 101969406 107693217 1000000000000000000 612050804 84355721 315081071 17823526 1000000000000000000 238449968 11681746 65552379 188532271 1000000000000000000 385021888 342826797 324874510 4071678 1000000000000000000 690256707 189130743 474114043 617610969 1000000000000000000 279830866 138433384 163588933 15852710 1000000000000000000 438877520 309601283 46440280 283061548 1000000000000000000 158212621 49183498 1068537 23907873 1000000000000000000 541786463 309412296 78298068 447335624 1000000000000000000 250652339 87763951 133426382 21558662 1000000000000000000 838552699 688603635 24411534 234584940 1000000000000000000 914841040 352468128 673996933 241492206 1000000000000000000 208977592 40847505 199553664 4253440 1000000000000000000 275087319 58971901 189712811 96156533 1000000000000000000 610394590 591173679 577005561 144906675 1000000000000000000 314133323 104761673 72139261 207720225 1000000000000000000 171534719 43997370 58128090 79476880 1000000000000000000 538358832 412919656 491358605 19406462 1000000000000000000 474425666 182938312 52193100 274454386 1000000000000000000 503357197 318091116 316999338 90424803 1000000000000000000 944019241 42590220 659346506 606166127 1000000000000000000 590043821 190783832 123158997 362464569 1000000000000000000 407033732 357559814 38228210 281772914 1000000000000000000 36794740 29408887 12401510 31459967 1000000000000000000 544018940 128837923 69089913 361237222 1000000000000000000 424201654 408380107 71665030 195043725 1000000000000000000 577616667 155755330 278202517 45444270 1000000000000000000 266182345 173175467 231345306 177250406 1000000000000000000 819407404 195624853 328329704 317990809 1000000000000000000 786269664 509174328 238914259 371066181 1000000000000000000 793872152 354565380 324997256 147474085 1000000000000000000 649513830 586517383 642020836 579213314 1000000000000000000 271035882 228003502 249071998 92701264 1000000000000000000 686025930 677891813 540924430 98026631 1000000000000000000 882048244 821441866 246748871 546734561 1000000000000000000 713725266 521093480 474283194 365311923 1000000000000000000 980857263 801682771 658205782 960152308 1000000000000000000 875054663 148701308 441826348 486075090 1000000000000000000 671834920 477409446 524666514 50081348 1000000000000000000 251738384 156999821 84280439 245426111 1000000000000000000 127007092 2402089 91345081 9095513 1000000000000000000 641129582 597829135 261057231 115612250 1000000000000000000 895822990 14784232 500013032 125175834 1000000000000000000 659896951 36287979 415222028 396739422 1000000000000000000 18629469 5709274 11763860 15322207 1000000000000000000 183153326 97991708 92893566 171552177 1000000000000000000 762622444 400896638 384004801 722365027 1000000000000000000 468564116 376016427 277709439 313541824 1000000000000000000 463890301 308608945 128938277 130393529 1000000000000000000 304716870 173580899 215856372 296488438 1000000000000000000 505071908 296387784 226585170 367853277 1000000000000000000 687144548 135833128 166895761 445155415 1000000000000000000 360222790 52749679 219550202 72096356 1000000000000000000 447822048 372307027 231428287 420223311 1000000000000000000 494436800 433194627 260071250 465720568 1000000000000000000 143072222 113263428 113034659 129761813 1000000000000000000 559781873 523137097 422339336 102296210 1000000000000000000 316617882 73453685 243319143 5814024 1000000000000000000 439071346 339820378 245695887 66877731 1000000000000000000 251911097 168777240 227969346 25982077 1000000000000000000 783211085 118692997 650982457 676230465 1000000000000000000 966594848 209659890 223418806 920034999 1000000000000000000 164991394 110335694 23552258 51808321 1000000000000000000 133732469 14379164 43474390 107259315 1000000000000000000 159862040 39580829 56704386 87466854 1000000000000000000 538367327 151055538 459727423 391769424 1000000000000000000 60648938 16790789 32342660 34858029 1000000000000000000 150408481 116691888 95679952 143524140 1000000000000000000 933969795 535055139 735039149 608345792 1000000000000000000 794780904 782526021 131526558 786358229 1000000000000000000 332335658 324339598 258394412 89085697 1000000000000000000 880706904 163043440 288207967 827748693 1000000000000000000 384670079 140744509 222365744 154105489 1000000000000000000 277332344 216260326 104436065 276488949 1000000000000000000 193479948 131254875 76452734 146614915 1000000000000000000 866911104 32757117 477165495 505148659 1000000000000000000 380859515 250028186 88307887 257776299 1000000000000000000 460862395 415269394 11482322 115023113 1000000000000000000 814880634 669841464 670748694 273201280 1000000000000000000 94843226 13096010 14162535 56060351 1000000000000000000 845801041 352621779 95749364 730602359 1000000000000000000 748628061 637754644 597490224 707038390 1000000000000000000 14953560 9194586 4016767 6943269 1000000000000000000 60661335 1533385 2791380 25134819 1000000000000000000 648882257 355640973 63007165 595570127 1000000000000000000 760615018 229664302 506096603 735947936 1000000000000000000 926666957 678259788 526066778 579113561 1000000000000000000 510536064 147348728 110110451 429571280 1000000000000000000 938231834 658331955 554373325 299117968 1000000000000000000 397458389 327798526 283031502 269292527 1000000000000000000 195321636 129705877 150248162 72633860 1000000000000000000 860327811 91175257 181640950 5038402 1000000000000000000 47655189 18225625 6881379 13435821 1000000000000000000 533768569 248302784 503366178 371505810 1000000000000000000 706847638 146288718 373767993 148913244 1000000000000000000 683130081 465735602 138968246 15808896 1000000000000000000 888805827 22816212 669027614 723795186 1000000000000000000 174474003 75175835 157087579 133610824 1000000000000000000 406514114 94567639 363568786 214726413 1000000000000000000 980236745 477529547 591773422 571121470 1000000000000000000 777526373 373597340 93344424 487536874 1000000000000000000 281766616 69333024 130167561 141429856 1000000000000000000 363385102 112258781 95145804 112857763 1000000000000000000 121584783 30712113 6778910 72326540 1000000000000000000 314966378 181640019 252851403 167012916 1000000000000000000 759900154 548967288 373995451 229526465 1000000000000000000 563748112 220562496 47519635 266825146 1000000000000000000 897291121 612549437 707063316 455981973 1000000000000000000 84479692 42470351 82941797 39234215 1000000000000000000 144361415 112710198 50260127 144162363 1000000000000000000 762992041 177626580 93932956 519280270 1000000000000000000 784221933 466221013 671185324 54192235 1000000000000000000 610145351 197693797 485745471 467804534 1000000000000000000 720288191 416018169 237398898 689850415 1000000000000000000 585672006 245047751 9877917 431016727 1000000000000000000 878118397 152498343 3903306 812644006 1000000000000000000 347663453 129695764 10113350 289105236 1000000000000000000 510685208 293626945 34045582 195535525 1000000000000000000 26137802 20450648 19505960 12546365 1000000000000000000 241652248 8924241 115373890 76312340 1000000000000000000 105068998 76051899 75654972 11772013 1000000000000000000 864626580 524687636 113207453 519346467 1000000000000000000 505693330 390091608 428069294 338696563 1000000000000000000 156728716 136221560 58720253 133764119 1000000000000000000 583097974 638001 434487591 220266418 1000000000000000000 514320254 31652440 172148385 401963516 1000000000000000000 570712586 401382409 380956732 561881846 1000000000000000000 179211175 71179034 26828777 114105405 1000000000000000000 344736747 323278245 635891 191536372 1000000000000000000 394404054 234598519 28947492 169328252 1000000000000000000 260682707 19640854 258255149 18229580 1000000000000000000 375236355 107626486 229603825 144916141 1000000000000000000 971531463 701851728 218474061 932962966 1000000000000000000 867877959 63840139 498124118 796476546 1000000000000000000 229756326 1025538 160541286 73071254 1000000000000000000 4460223 2786589 714135 2734324 1000000000000000000 731251964 538238703 514864666 333728468 1000000000000000000 772246380 677134753 283261525 129605000 1000000000000000000 381300616 113010389 6414459 204149124 1000000000000000000 510189268 31354087 449859097 253595352 1000000000000000000 73868677 70664575 21823454 5314270 1000000000000000000 525300350 88156837 442963935 375247317 1000000000000000000 622054069 388803860 112369287 508817763 1000000000000000000 789950014 317900907 81061624 16291767 1000000000000000000 848686733 195431393 564679202 625678184 1000000000000000000 986338608 4713339 205692016 839543503 1000000000000000000 774012941 202521587 203450882 177358475 1000000000000000000 421700260 373873694 56616617 296116287 1000000000000000000 375911915 355806236 45485439 248518750 1000000000000000000 257683148 240405154 36075007 142064470 1000000000000000000 860538453 289259133 789378152 287561073 1000000000000000000 592442687 391951395 272913487 477634342 1000000000000000000 993255519 820284913 490572276 71148168 1000000000000000000 52635059 41094342 52102005 29864366 1000000000000000000 86188573 67047195 59870895 34020750 1000000000000000000 929383850 185929393 103575494 131497872 1000000000000000000 376053827 117967832 258663650 283464162 1000000000000000000 552461822 178826748 419516537 92055098 1000000000000000000 758198995 103230623 616382015 386279692 1000000000000000000 430184178 365968492 225311970 71802176 1000000000000000000 261295381 108871510 208695383 116580359 1000000000000000000 524660870 365763132 74784017 39185220 1000000000000000000 121688177 18557995 113741546 102731241 1000000000000000000 795865350 287390338 281325001 520025444 1000000000000000000 620672679 462181931 514265390 97305363 1000000000000000000 180844270 87352134 59667036 36122568 1000000000000000000 550824326 184616163 226403422 60410768 1000000000000000000 513043031 464578535 340894181 190579099 1000000000000000000 537391018 431068451 501676966 422991739 1000000000000000000 754590056 219339159 350258398 235114421 1000000000000000000 531190965 216062245 60670253 453850602 1000000000000000000 604485405 560284807 60282864 236568072 1000000000000000000 984332104 262817808 945630156 200155551 1000000000000000000 55060266 38037925 10269472 388599 1000000000000000000 877701649 747066616 375179391 845079850 1000000000000000000 423964379 98793603 313276980 334631917 1000000000000000000 120156235 68990039 8660339 67520295 1000000000000000000 188668617 38473293 170301547 45702286 1000000000000000000 184144847 128649618 104112219 99780434 1000000000000000000 615073217 165471317 514203119 224371884 1000000000000000000 876655188 581531389 494658627 640734983 1000000000000000000 917580615 77069068 698823733 662909751 1000000000000000000 856341652 164218638 248086830 838557150 1000000000000000000 572616570 254994831 290086095 349467230 1000000000000000000 854016943 70528678 525303997 65228586 1000000000000000000 215786178 11120679 179806557 173243675 1000000000000000000 178372985 169455978 110044168 72834484 1000000000000000000 744111437 464812750 36266732 122706240 1000000000000000000 737537313 354403849 40281098 687503792 1000000000000000000 222679092 126037407 7009175 50303182 1000000000000000000 242308159 64138170 187688218 22404707 1000000000000000000 881943517 482176406 429736506 125814891 1000000000000000000 850025594 594682865 578318921 627251423 1000000000000000000 862028766 398667050 100783424 708724518 1000000000000000000 491808148 356953100 291831360 180514799 1000000000000000000 235653826 162185710 102179927 154832685 1000000000000000000 380250823 160877554 361994221 372507208 1000000000000000000 727438616 169981105 91647675 613260033 1000000000000000000 508929410 468693973 318133372 28708815 1000000000000000000 428368909 392452591 18858203 26531118 1000000000000000000 589084328 477290907 547062189 224943955 1000000000000000000 290447791 47011993 238179196 103781855 1000000000000000000 772838808 454609284 290397080 79365134 1000000000000000000 693623486 512362665 546951517 282850363 1000000000000000000 142102567 103936750 96663903 65993144 1000000000000000000 891788311 383863517 532846313 643577270 1000000000000000000 974320495 592124651 589358414 606949034 1000000000000000000 208937421 172737020 110541130 2112251 1000000000000000000 16613560 12893983 14831136 7590588 1000000000000000000 631843392 460982268 394034458 372193280 1000000000000000000 690387818 102678019 392396251 330294261 1000000000000000000 939288110 317212229 831095933 910147399 1000000000000000000 682944599 257189913 492711922 346956749 1000000000000000000 706394255 179646411 653008817 638968767 1000000000000000000 781179636 176709150 89902414 577062728 1000000000000000000 484110608 120715954 402562470 207632088 1000000000000000000 307169203 230967729 10321890 294490856 1000000000000000000 371876336 303896703 69819229 281614309 1000000000000000000 882995226 217439652 582447246 358111217 1000000000000000000 438440506 84658579 367735336 51544291 1000000000000000000 49293484 6768800 16941127 15805818 1000000000000000000 818861720 206136929 471472742 41718428 1000000000000000000 43875746 14210751 20665185 29638210 1000000000000000000 63383253 28289569 22566545 51870166 1000000000000000000 188568462 98354324 162463919 177155792 1000000000000000000 368408943 191025064 325011336 279109823 1000000000000000000 560225632 256976524 351304347 354640641 1000000000000000000 100156448 84695200 69216337 72128339 1000000000000000000 255282544 227154421 147888157 222366761 1000000000000000000 303543195 212098600 208418566 153211237 1000000000000000000 376242707 15654591 226631231 162579107 1000000000000000000 756488970 452496768 333791751 550206303 1000000000000000000 965263106 557990783 959288380 725492745 1000000000000000000 130207260 11043574 83983610 64289720 1000000000000000000 7176375 4837888 2459392 4618013 1000000000000000000 218202976 217904798 50732954 122179214 1000000000000000000 601289856 527759973 511292604 151639448 1000000000000000000 251641390 102213259 12771284 100137826 1000000000000000000 121801151 119428639 42743487 58653297 1000000000000000000 960672233 37631932 538752673 732342088 1000000000000000000 481987856 91490794 169874728 148088305 1000000000000000000 454478457 313180791 132082239 148888822 1000000000000000000 390066574 40708444 163551115 297841007 1000000000000000000 157139154 100464521 6035299 20826700 1000000000000000000 621317282 376260258 559911574 357576276 1000000000000000000 773019808 230537221 619011892 379380400 1000000000000000000 419353977 404101868 197301367 22518396 1000000000000000000 985860141 458230468 893750947 585662236 1000000000000000000 724430514 554129965 195154561 386003900 1000000000000000000 831606837 755372400 794368913 74590579 1000000000000000000 928088779 580977704 850831548 553418423 1000000000000000000 295530716 30798852 102875102 175555106 1000000000000000000 336108361 89458259 113662940 56576267 1000000000000000000 625697003 402171161 389708203 110778141 1000000000000000000 782010806 118451740 326921490 364856218 1000000000000000000 219231293 198312264 116004182 216690719 1000000000000000000 500550798 316410015 427842750 242417363 1000000000000000000 444870650 206610282 305250568 111057741 1000000000000000000 244226639 105311274 224360161 118053532 1000000000000000000 28785273 6545992 20861885 22408346 1000000000000000000 266037441 87050628 177354140 7698529 1000000000000000000 427788228 34550543 270187174 361499214 1000000000000000000 794654704 398433145 579155272 201817200 1000000000000000000 853764576 285448506 78467847 463177685 1000000000000000000 93383821 44550345 643426 35106195 1000000000000000000 798685922 70790274 188961018 386983613 1000000000000000000 866583076 471076383 706068513 244712 1000000000000000000 482909756 2219467 199375854 164387062 1000000000000000000 300176676 99801010 195261954 223773050 1000000000000000000 81115982 33433595 5812425 55859086 1000000000000000000 410637083 82817290 150038578 193063162 1000000000000000000 397363340 389931327 86750694 297270977 1000000000000000000 354865338 353804585 53987432 294110756 1000000000000000000 47799807 30334350 294250 17162122 1000000000000000000 396887752 222830364 20348052 90859945 1000000000000000000 63641603 11616115 43887096 23626989 1000000000000000000 93236054 37822074 5147637 9598745 1000000000000000000 267183218 200613755 200868145 245823091 1000000000000000000 154342802 69158714 107225098 142551519 1000000000000000000 171946989 133225209 105900549 75144132 1000000000000000000 334322732 135840127 147785194 323083128 1000000000000000000 180959777 34573810 81159230 27163583 1000000000000000000 33592377 21504779 12599134 12757469 1000000000000000000 63498491 37094059 22480125 20095998 1000000000000000000 222909318 17056461 17440010 71077115 1000000000000000000 508604482 10993611 319535830 27357791 1000000000000000000 533722164 83446630 294215755 122058385 1000000000000000000 815886770 468378498 17371509 240373484 1000000000000000000 778222638 147832340 306258878 69645543 1000000000000000000 729910507 363775612 146780895 338335393 1000000000000000000 972380724 867975449 707429026 293284625 1000000000000000000 778009632 424098220 634137825 304799286 1000000000000000000 493483036 130486316 293247118 414330092 1000000000000000000 949110674 92356693 740166559 945270449 1000000000000000000 242117018 184412370 27467484 158523078 1000000000000000000 477194337 459128581 329022114 197133554 1000000000000000000 877903052 863969433 210634259 130193242 1000000000000000000 102670405 62185086 78017183 77861808 1000000000000000000 267869869 218291042 117156014 222539800 1000000000000000000 350717432 293212364 111708965 80362763 1000000000000000000 494857531 20292077 440349370 313437806 1000000000000000000 462866175 356423360 40124047 232125326 1000000000000000000 835498184 219293857 558133405 566166878 1000000000000000000 170597564 80001678 92528460 31227584 1000000000000000000 845027791 628428522 37559632 826824218 1000000000000000000 10198937 5094453 7209026 4634322 1000000000000000000 264382065 106416981 249199447 41395452 1000000000000000000 837275435 358841616 748201936 785552388 1000000000000000000 567550029 190073517 388025992 191073314 1000000000000000000 777326893 348655200 510058971 755186523 1000000000000000000 331719208 231646521 324280178 314455300 1000000000000000000 608549694 242327567 387464088 385288950 1000000000000000000 273565705 54346037 262677503 39273357 1000000000000000000 962657245 199124243 52997297 42001831 1000000000000000000 648450925 88790439 62713168 560326980 1000000000000000000 484827877 152231244 458571969 190287692 1000000000000000000 268384635 817224 193796386 63859096 1000000000000000000 28834037 22819872 14038504 23748522 1000000000000000000 154161227 140441075 47337828 91482174 1000000000000000000 228828624 80462811 144786448 118832359 1000000000000000000 626161536 557912749 591295420 311079844 1000000000000000000 826356683 630177829 443812012 620921934 1000000000000000000 901360441 637163818 265386585 362061229 1000000000000000000 264255753 228946181 240687999 25062762 1000000000000000000 14513673 13131663 11961564 12506530 1000000000000000000 632441469 137010854 57406940 130392225 1000000000000000000 290659452 91844099 105202080 206509573 1000000000000000000 849185211 623185537 825286583 760728239 1000000000000000000 60015893 50416112 25726693 22615493 1000000000000000000 877146807 78038069 872412599 228922064 1000000000000000000 408031879 356255880 113732242 231856279 1000000000000000000 138620630 136658997 51819678 120327586 1000000000000000000 505469038 387143107 371459495 210672939 1000000000000000000 108164286 14168084 31033831 81651420 1000000000000000000 211133536 132573036 30677648 27852768 1000000000000000000 424287756 222051421 161271554 296408203 1000000000000000000 881292230 710436133 625900317 354477265 1000000000000000000 344726160 224655887 139074477 189350913 1000000000000000000 128823250 78088107 127916379 61677127 1000000000000000000 545822719 12428567 82674217 508910240 1000000000000000000 539297014 430170257 93255947 382424257 1000000000000000000 644903132 164367373 573938972 280446583 1000000000000000000 987757455 539194195 747549065 836386896 1000000000000000000 333943528 152490763 194007168 19020544 1000000000000000000 47469666 34031631 15235463 23986223 1000000000000000000 975375996 195770342 827472744 128825730 1000000000000000000 762251572 458511455 246307414 293579491 1000000000000000000 103124594 36402103 34053993 71757389 1000000000000000000 221298543 170549723 132121650 150338894 1000000000000000000 189696201 43954123 173122669 21444091 1000000000000000000 915181567 20864177 302629988 48903014 1000000000000000000 451895660 1954061 404887340 423218048 1000000000000000000 753733173 461712893 615367398 595527203 1000000000000000000 832481771 811756422 438993560 509396548 1000000000000000000 777269748 727385033 515502565 645612929 1000000000000000000 323513821 26232862 120393056 308761673 1000000000000000000 593606462 105268237 571335350 84927042 1000000000000000000 928509327 374954170 557598177 128197285 1000000000000000000 918981412 260040753 265259934 774820721 1000000000000000000 302061469 4906859 216432607 154794173 1000000000000000000 604147854 551468289 452160077 257764476 1000000000000000000 690333407 454097377 289323780 617867274 1000000000000000000 781872526 451351620 16570110 628204407 1000000000000000000 542032491 293368299 45207861 20232719 1000000000000000000 278303667 264415391 251273622 268888068 1000000000000000000 888013735 808847881 881038976 56325466 1000000000000000000 215271030 116313984 6182957 203057509 1000000000000000000 747525813 740385039 212446851 45139852 1000000000000000000 35065053 19646578 20410246 20459342 1000000000000000000 777631400 3563653 452277624 109509776 1000000000000000000 410013407 47090542 375049992 137197336 1000000000000000000 326236808 16761351 306618006 233642086 1000000000000000000 865868413 238427346 110476458 282039668 1000000000000000000 843326651 384363045 150281835 52997790 1000000000000000000 517515423 27802442 230627829 202655947 1000000000000000000 448435085 437987383 4045285 110606898 1000000000000000000 245164679 184887283 174075361 217593709 1000000000000000000 956908663 5317288 173494237 350869004 1000000000000000000 401931689 191253135 323275040 122662400 1000000000000000000 378214126 143136473 28244934 90674770 1000000000000000000 293587043 291581001 20174292 25394072 1000000000000000000 557609631 120063516 417245799 237659723 1000000000000000000 552485912 111230972 311752334 477010739 1000000000000000000 774498401 360783469 605360510 653530342 1000000000000000000 523828359 12190965 207669494 164865258 1000000000000000000 474725004 41652684 164879101 433554894 1000000000000000000 623052588 109956349 275007073 597729999 1000000000000000000 457568290 259712997 351260109 349650545 1000000000000000000 106263437 19486890 5469147 66939576 1000000000000000000 65365345 34136216 1943329 29485544 1000000000000000000 941843436 413135536 651615804 479310697 1000000000000000000 592358122 378584331 352952554 431167688 1000000000000000000 450134555 2106058 380350553 306402083 1000000000000000000 240369300 230108927 187890152 176026435 1000000000000000000 602265661 2092565 229462016 10109753 1000000000000000000 534765345 165434930 57326746 119136383 1000000000000000000 962367593 919435606 602043138 713072768 1000000000000000000 302036170 87131442 271964214 151936421 1000000000000000000 976849958 732466628 297164648 513106041 1000000000000000000 299877517 210952080 83987786 172472326 1000000000000000000 680885108 579357949 101077761 268536364 1000000000000000000 476773644 161511244 168863435 174877074 1000000000000000000 405464968 843885 145282170 395540161 1000000000000000000 583837679 390863673 566650402 215042904 1000000000000000000 647663768 170281788 157805926 230717426 1000000000000000000 628432919 546674664 213633230 609595341 1000000000000000000 711784848 618289191 49181838 131177619 1000000000000000000 626149036 598675352 514083713 9795840 1000000000000000000 275634201 218184869 57437895 95194517 1000000000000000000 389215795 278100489 286013313 291508633 1000000000000000000 84743895 35636274 13620089 74624841 1000000000000000000 686141732 362596202 609923007 326473575 1000000000000000000 652818524 588345039 250132241 445900056 1000000000000000000 334299592 289997954 136801192 245394107 1000000000000000000 339526630 17862039 226407671 1478551 1000000000000000000 127980730 48020587 27228515 116815878 1000000000000000000 519224130 151004514 335910613 202104374 1000000000000000000 840545810 815382125 224684118 834960593 1000000000000000000 267903754 64974364 229377170 166282916 1000000000000000000 406308362 32376055 24882768 281119950 1000000000000000000 254240988 24278762 158659661 36695209 1000000000000000000 956858397 86523121 657603563 166726936 1000000000000000000 207560509 48236066 14984530 44640926 1000000000000000000 291560192 164476002 130586950 143882592 1000000000000000000 14811721 163811 9810608 12577593 1000000000000000000 483789257 377792159 56518211 46787939 1000000000000000000 6778274 3365929 4953293 6431003 1000000000000000000 742145859 485045534 539558918 380251241 1000000000000000000 590839901 345651216 226192572 215427120 1000000000000000000 359126003 137596323 57831104 55823271 1000000000000000000 819705972 740681084 526801869 489744628 1000000000000000000 723037936 713001460 498083234 177712853 1000000000000000000 968602850 546347742 838114399 469094693 1000000000000000000 586981179 26900330 401562167 505383194 1000000000000000000 852514432 707537211 2168156 744464437 1000000000000000000 23312799 972915 9159984 7821176 1000000000000000000 52468918 47322335 9186357 33896799 1000000000000000000 202313249 44436036 200496633 18126767 1000000000000000000 913387042 812107866 877769550 722416840 1000000000000000000 67881136 64598097 26402456 61865168 1000000000000000000 866125081 340639736 225579923 669286711 1000000000000000000 771521674 383203097 438616838 183786062 1000000000000000000 263569683 936375 27618942 224605768 1000000000000000000 909107041 790710078 808423325 742482368 1000000000000000000 7881001 3930140 5968430 5648825 1000000000000000000 597190887 304334363 588639801 577991173 1000000000000000000 339573408 179209979 205029516 28882350 1000000000000000000 112373395 98523405 111985660 25422583 1000000000000000000 819926941 166608434 18463081 474452008 1000000000000000000 664896388 48955642 94480147 541146611 1000000000000000000 384219136 104395034 44327696 175851014 1000000000000000000 124154500 57895035 28423568 62129104 1000000000000000000 891518039 7709507 147952990 47238734 1000000000000000000 137864035 17438630 129971803 75472188 1000000000000000000 953493101 64377875 682128199 483929693 1000000000000000000 141593749 12594919 70928526 77085646 1000000000000000000 3016602 498165 2935195 1920651 1000000000000000000 175131327 35562091 97064893 5348053 1000000000000000000 298063427 131045033 245356089 17544590 1000000000000000000 228442955 199233133 18061228 104940600 1000000000000000000 809678776 574708069 807404884 435299907 1000000000000000000 757319610 40614090 653833017 700547531 1000000000000000000 145770964 96190483 30321604 5949298 1000000000000000000 348521492 81717163 284101408 221742672 1000000000000000000 146168485 64047706 2104843 106430013 1000000000000000000 929134918 17602097 365687635 695561745 1000000000000000000 131765066 91252236 122379185 105309755 1000000000000000000 340373065 209454946 70129479 195397739 1000000000000000000 569225694 276886495 24629812 506974174 1000000000000000000 693988672 390229081 594620825 310629594 1000000000000000000 335713680 111640037 52065290 170400188 1000000000000000000 60031958 16559137 22100391 14193095 1000000000000000000 878030995 198142717 351518668 19586853 1000000000000000000 780857392 86258460 537685068 438988607 1000000000000000000 406769291 269549138 255682486 300368292 1000000000000000000 255594849 5985478 111821189 198068410 1000000000000000000 355212419 23375460 96685152 113856641 1000000000000000000 180062401 123520038 25271172 161339974 1000000000000000000 357088273 293854715 254600868 197622841 1000000000000000000 867919161 394676691 821800062 97058867 1000000000000000000 352714325 192177131 314404461 78224096 1000000000000000000 236995085 82776132 220187114 16143837 1000000000000000000 196875781 11421500 72747618 182392890 1000000000000000000 406943269 42958476 241951952 49277747 1000000000000000000 108393273 75539552 37062181 35352224 1000000000000000000 907203440 109132405 455140657 680774578 1000000000000000000 782473677 480996016 481905629 519990382 1000000000000000000 898530204 678369367 280369891 622694500 1000000000000000000 403340602 343171705 350838878 22278366 1000000000000000000 544148676 131404784 242089945 543050763 1000000000000000000 117780085 10763543 52449004 83551607 1000000000000000000 119505294 114939967 89645467 35128954 1000000000000000000 559080715 182803929 485563156 159367490 1000000000000000000 883795337 698143185 770677231 807674810 1000000000000000000 3136194 3068529 1534719 1749359 1000000000000000000 128643483 121939231 108949777 18322820 1000000000000000000 592334857 66609675 451770927 408847644 1000000000000000000 107839124 14126812 107542856 85907661 1000000000000000000 3120470 2007514 1523657 301217 1000000000000000000 872211154 697151534 603656976 430963015 1000000000000000000 537442780 127621424 381045406 262707399 1000000000000000000 358605264 220055967 228730542 59257623 1000000000000000000 408021096 374136465 131085494 76646399 1000000000000000000 66131502 12485523 37909491 25342307 1000000000000000000 942272013 178788865 387693088 159453152 1000000000000000000 640928637 542058565 417183676 36149297 1000000000000000000 80576922 59677178 65625062 49891626 1000000000000000000 362096469 213498214 95494991 71558997 1000000000000000000 978800659 836411694 48410234 88126815 1000000000000000000 220082078 174997180 56889705 65787994 1000000000000000000 867005108 635792819 36899458 221642385 1000000000000000000 854005999 396824426 298416000 533263429 1000000000000000000 149151942 41517315 31507200 124687764 1000000000000000000 829717925 686015227 432434434 403962477 1000000000000000000 51295014 23186679 38678257 39240762 1000000000000000000 112994151 72362827 28868424 84664698 1000000000000000000 774272744 606988845 107281383 503776440 1000000000000000000 419168033 261666075 270505956 331594675 1000000000000000000 723330433 184621284 302733838 85050585 1000000000000000000 482932642 144390081 308296746 219183580 1000000000000000000 78063888 74089979 76161697 14791412 1000000000000000000 950515294 688084173 199468081 333102616 1000000000000000000 448295127 426143137 280970216 420923678 1000000000000000000 390189193 30174308 27594374 300836262 1000000000000000000 765136470 245876548 741777580 376062686 1000000000000000000 984545951 251265999 635509685 615289760 1000000000000000000 988578304 570547303 250966358 810110796 1000000000000000000 918110638 809265428 798014563 400917920 1000000000000000000 387265919 320684893 386933346 21796366 1000000000000000000 542422273 275438691 252791672 385986965 1000000000000000000 496635854 223950934 460484788 140133737 1000000000000000000 550354531 274498232 370385049 309731713 1000000000000000000 756456441 452373273 703551896 5803121 1000000000000000000 632008509 79178062 449694790 209094279 1000000000000000000 881398999 282127038 800920776 11010708 1000000000000000000 63004101 11512866 8760360 9212172 1000000000000000000 58358598 23630123 42646906 17471451 1000000000000000000 749000540 422664224 79583967 460669202 1000000000000000000 925527243 453029029 128571646 786863444 1000000000000000000 605701149 452819861 393706368 411755598 1000000000000000000 528331390 383041586 422714550 110296816 1000000000000000000 573821694 243522546 218033625 204203162 1000000000000000000 259369959 46603495 143800107 6931751 1000000000000000000 341627704 252066377 252884290 321589967 1000000000000000000 738034872 457697616 296961564 184646659 1000000000000000000 934042175 447749034 456832465 506417645 1000000000000000000 743657974 15619791 280805884 540600452 1000000000000000000 803371134 40668653 742822822 149377825 1000000000000000000 73030126 122536 38183572 32449558 1000000000000000000 574370750 42075442 378448340 12717332 1000000000000000000 211561168 155936402 33114794 166215252 1000000000000000000 479967827 44538874 102172815 107987374 1000000000000000000 485812194 327847483 316065282 2722354 1000000000000000000 270317900 242835379 100466057 214950985 1000000000000000000 85817833 24731326 85603575 41507786 1000000000000000000 432421747 320729437 67787865 6506448 1000000000000000000 570027250 30965938 373300501 329399878 1000000000000000000 18279683 65574 6234757 14083947 1000000000000000000 837493922 324026643 770522169 300815904 1000000000000000000 214302051 34044282 53561509 51975528 1000000000000000000 746175625 278899864 309928839 301679323 1000000000000000000 310641354 264888735 43943633 78002298 1000000000000000000 967092401 554198123 248442074 474636795 1000000000000000000 2386796 522550 1118739 2016648 1000000000000000000 14841389 1551064 12951057 56466 1000000000000000000 15645198 12206503 1309437 4135987 1000000000000000000 17769058 15680939 1337426 11540225 1000000000000000000 126455662 63661986 466068 69465611 1000000000000000000 309621034 206979017 252878390 269754137 1000000000000000000 896964486 422066563 235064871 106552643 1000000000000000000 892600969 674269769 207899996 477308754 1000000000000000000 45274342 24617935 27196825 14402595 1000000000000000000 550300940 324031756 176365120 411006809 1000000000000000000 715535517 492488375 53209470 99228667 1000000000000000000 872043910 129136358 599616280 242478700 1000000000000000000 552055482 437415134 282408047 347613732 1000000000000000000 278109824 66363302 269162974 185721578 1000000000000000000 794406580 377750488 584411402 64151932 1000000000000000000 936920387 743203480 745247964 270148033 1000000000000000000 531012655 431259580 38004352 473587164 1000000000000000000 147515664 72221864 58456973 113064559 1000000000000000000 502009919 434489220 68752805 29907018 1000000000000000000 481774565 343516421 393414161 123646877 1000000000000000000 777965786 338318816 77415823 499530072 1000000000000000000 572408111 263095444 410280215 310578199 1000000000000000000 366645076 20811488 330064695 334193423 1000000000000000000 710053008 53011427 86353054 508488226 1000000000000000000 131646665 66247447 105933010 93369290 1000000000000000000 203549867 70476204 31924811 31233510 1000000000000000000 747944822 272535757 655131822 339754010 1000000000000000000 341504438 33219497 52539346 215367537 1000000000000000000 592610077 14625243 324454922 326316073 1000000000000000000 466343577 406939598 148082414 424051772 1000000000000000000 803387565 162766843 61199417 277301665 1000000000000000000 328440832 34476919 222571783 211522013 1000000000000000000 907438719 698124098 574626746 386721562 1000000000000000000 578624031 122529625 130890535 204997979 1000000000000000000 998415576 496664350 19830151 58852717 1000000000000000000 27771159 15042109 9370025 23508552 1000000000000000000 316175561 238260936 82377581 165390008 1000000000000000000 816062454 656427283 497453661 215402289 1000000000000000000 833451857 265471101 235736926 57518606 1000000000000000000 597013885 41920406 36558793 566979458 1000000000000000000 29016426 23565044 14991436 25574516 1000000000000000000 896379691 372935704 411476432 522025402 1000000000000000000 561538461 234764769 133024661 99277775 1000000000000000000 778131010 670093838 718644531 33175590 1000000000000000000 652590593 263335507 19298353 129133635 1000000000000000000 171583232 162735055 15705820 61079740 1000000000000000000 259843033 40387468 143838423 123066406 1000000000000000000 293534781 190560290 25814096 209620340 1000000000000000000 387766569 287692524 128969871 113189857 1000000000000000000 118882311 54248898 113988002 41011939 1000000000000000000 464097289 349799813 359544918 313745735 1000000000000000000 134051303 68594692 36882581 132615153 1000000000000000000 923910850 582275598 339368888 628347148 1000000000000000000 815248700 441131397 517868139 312159951 1000000000000000000 978736537 165241905 289352579 574299932 1000000000000000000 912021848 313637477 330230282 707777681 1000000000000000000 675280335 311764003 395967878 190410921 1000000000000000000 636755086 184764057 437770069 602116274 1000000000000000000 385238689 42189149 134825344 30526866 1000000000000000000 75360188 18819202 57464787 41404257 1000000000000000000 819836431 323819234 483461814 536207738 1000000000000000000 890164772 637619023 859332683 131999985 1000000000000000000 46407120 28842659 42746071 27214354 1000000000000000000 313520465 28765144 287192161 152256370 1000000000000000000 207058321 166145531 79377677 81852646 1000000000000000000 408101923 400323020 205710170 361608142 1000000000000000000 388590889 118733410 115651730 297598177 1000000000000000000 222811752 13622004 200880478 60485808 1000000000000000000 988328063 373253602 913956445 372259341 1000000000000000000 504162631 22012437 236687230 102986157 1000000000000000000 660522679 391268783 177924555 256674793 1000000000000000000 277019234 65357345 80739650 254928500 1000000000000000000 719626203 159189718 502344333 605012947 1000000000000000000 254524948 7730085 67040907 94520569 1000000000000000000 452581978 161253525 254658048 188871170 1000000000000000000 924649854 56730990 924308854 712667141 1000000000000000000 36452883 806269 13795450 9215410 1000000000000000000 884252050 686158132 83850247 114828617 1000000000000000000 522779503 61025263 50357786 256294730 1000000000000000000 637695573 227211285 451703980 632261463 1000000000000000000 486766034 431292360 460621214 203541067 1000000000000000000 555472848 67192923 247952578 250160965 1000000000000000000 408442390 17509079 189469192 253654572 1000000000000000000 784402391 605590583 293230980 266069732 1000000000000000000 736949746 252419507 319319986 721116166 1000000000000000000 847010326 665754101 444672102 280953103 1000000000000000000 399194973 27017178 128121521 95889998 1000000000000000000 37766222 16430530 5568833 8348156 1000000000000000000 703058156 446238358 150600491 103890013 1000000000000000000 572818240 359472932 73783827 255430813 1000000000000000000 264639462 50273655 37713207 54884886 1000000000000000000 849905471 701394138 272442463 842864571 1000000000000000000 348354808 149927099 285596998 70624030 1000000000000000000 573232069 128899791 117517353 317747097 1000000000000000000 222284735 87618608 153764483 101720186 1000000000000000000 624405554 91908025 272540678 207149501 1000000000000000000 521225637 5815564 59204082 116106084 1000000000000000000 296515355 45479635 243197160 287310335 1000000000000000000 138191544 117839652 136775917 82294939 1000000000000000000 761294157 721903069 242375190 454169622 1000000000000000000 404813053 265739686 285741020 96951040 1000000000000000000 397597919 283908282 252016112 119608820 1000000000000000000 478174585 19773440 453647250 104926703 1000000000000000000 739333358 358197714 293201897 161966029 1000000000000000000 399464938 262950474 140622658 196453117 1000000000000000000 33882840 22371176 12609439 16197209 1000000000000000000 798363012 436739559 762919623 383914389 1000000000000000000 952664392 391531839 621502067 39692427 1000000000000000000 808448683 642518444 100414270 144760560 1000000000000000000 23651615 23378124 9041017 546846 1000000000000000000 169367042 147567270 94832697 10723081 1000000000000000000 871241837 850556706 583045240 109348018 1000000000000000000 487593015 259160672 154633211 129359404 1000000000000000000 791360680 139963394 590630019 445914350 1000000000000000000 511440140 343978704 272153189 483207151 1000000000000000000 492458686 258013363 243045768 462387256 1000000000000000000 141899147 83282211 39135992 66825912 1000000000000000000 482402168 406613865 387410241 283387571 1000000000000000000 894248184 747236529 372004780 323382867 1000000000000000000 592464695 227791510 494363553 125171379 1000000000000000000 529803354 363928942 123632222 404451454 1000000000000000000 364644008 83417256 49306592 55185467 1000000000000000000 976128389 703851804 634603838 229653061 1000000000000000000 24669975 4537949 9425863 10555775 1000000000000000000 726176285 350428237 614581975 148309441 1000000000000000000 575056112 338248889 318401839 499480455 1000000000000000000 148460144 73948588 3713065 80180923 1000000000000000000 389617676 202087349 333693760 142243869 1000000000000000000 810485800 262575070 278826443 161443978 1000000000000000000 592704170 86955092 440116119 11651128 1000000000000000000 145493791 50557970 49393200 140032304 1000000000000000000 336027150 277347870 226203652 203406003 1000000000000000000 709692536 70508124 288862573 623380801 1000000000000000000 248373463 219499570 124972361 113908011 1000000000000000000 71751395 17476490 69302936 63878000 1000000000000000000 648153627 22719962 430715699 585023137 1000000000000000000 321688027 98063053 31197918 262167183 1000000000000000000 792477838 697309194 622009837 587040509 1000000000000000000 77524009 7341434 54264742 74840697 1000000000000000000 865366378 275516805 535063914 636324846 1000000000000000000 709368317 348749472 355528709 577196894 1000000000000000000 440776983 419554395 153804934 432031103 1000000000000000000 455120947 51082894 213058349 14720033 1000000000000000000 545967788 461185836 453949652 124917830 1000000000000000000 10591044 1997958 8254637 7227501 1000000000000000000 138921917 52604275 1687282 52507581 1000000000000000000 732757222 165074559 92065077 604384134 1000000000000000000 453126840 242451164 88195016 12967914 1000000000000000000 841575493 830043239 415645797 48985625 1000000000000000000 197250076 186940495 129599169 192776614 1000000000000000000 812897810 564079033 759602660 24147472 1000000000000000000 951414615 648518328 783639581 603522271 1000000000000000000 729412213 444853312 349315118 451887125 1000000000000000000 134211880 109202153 32738562 122005437 1000000000000000000 697107343 108732657 248113040 628375114 1000000000000000000 56605756 42303946 21813264 22412313 1000000000000000000 987688595 918530175 354380745 264279763 1000000000000000000 656558659 184458840 542320889 417324404 1000000000000000000 172326737 11177798 131730940 154038082 1000000000000000000 550617629 331039741 131770994 346415058 1000000000000000000 303750566 140119562 126084779 34454020 1000000000000000000 105335795 27337701 40889978 62092816 1000000000000000000 530670900 443566083 21883204 148578849 1000000000000000000 901129139 762409486 186346785 135526890 1000000000000000000 72109605 36211192 52950317 63886499 1000000000000000000 688871538 465252225 12120136 102287742 1000000000000000000 597649691 457418061 188181048 547531948 1000000000000000000 683156150 305938080 621960220 226224641 1000000000000000000 11161675 9225586 4959201 9131107 1000000000000000000 334686740 213752249 77285562 324239778 1000000000000000000 976324496 269354899 33597203 325497417 1000000000000000000 28075372 9678383 13168577 24493729 1000000000000000000 52917000 39671821 37838595 41404201 1000000000000000000 833394288 212585547 274755197 491822511 1000000000000000000 992329349 813994460 50905309 460805384 1000000000000000000 941770638 408381612 550717977 542250636 1000000000000000000 347847292 290099046 72870463 265464932 1000000000000000000 164476543 158030291 64049484 133645156 1000000000000000000 223695463 208975699 173741363 158788116 1000000000000000000 734324881 198035937 409931940 46488382 1000000000000000000 884858111 555739760 196273172 447915832 1000000000000000000 336821297 218603133 212913988 322393721 1000000000000000000 104655449 33337503 70414970 17898984 1000000000000000000 913016457 530309394 200300423 670925024 1000000000000000000 388623765 219349477 86653639 324198134 1000000000000000000 219591801 212877115 136588617 114248148 1000000000000000000 137824448 10944294 39281166 128685904 1000000000000000000 361415655 185577537 312293296 357688778 1000000000000000000 286490346 168160144 250119777 137654647 1000000000000000000 889333302 9352473 318149144 585311202 1000000000000000000 866067520 436201621 367987051 578322980 1000000000000000000 434115923 345061610 399751501 278055841 1000000000000000000 414201078 390649944 351911095 105390741 1000000000000000000 198677207 27347513 140534655 21858991 1000000000000000000 756840631 339747786 376055207 476533108 1000000000000000000 19024478 15248561 18046872 12922948 1000000000000000000 211451926 3811299 77613464 49370045 1000000000000000000 236098923 179654422 164521038 208404799 1000000000000000000 114431693 106886497 92543623 66043693 1000000000000000000 584940754 276860102 49194770 442123806 1000000000000000000 282087011 98336032 196728420 48422978 1000000000000000000 559190320 494666535 361893274 186125942 1000000000000000000 195395141 70971447 101612708 14601897 1000000000000000000 11943029 11252158 8777623 2807618 1000000000000000000 812357425 139724031 741786333 589014421 1000000000000000000 179679637 78432275 69019605 100683461 1000000000000000000 634955113 232667004 193872197 89376836 1000000000000000000 554863848 188309177 374833383 12907422 1000000000000000000 765587254 386019276 564685441 70063624 1000000000000000000 623517318 428866935 146396429 211155418 1000000000000000000 268370114 75988218 18434416 116530704 1000000000000000000 773690195 507178643 61392933 297561556 1000000000000000000 315445539 77784933 182086037 239478706 1000000000000000000 280614909 78256564 125389904 53152150 1000000000000000000 391741134 303194350 250066452 179183965 1000000000000000000 688577086 138892847 47456171 266234120 1000000000000000000 757478122 70910331 531920055 52224478 1000000000000000000 866600119 774554201 173192424 276272435 1000000000000000000 342178759 320955183 216825764 103413582 1000000000000000000 710241943 193614937 358813042 180679284 1000000000000000000 41489990 13166383 2234820 39922206 1000000000000000000 497647754 226332160 439466200 20294883 1000000000000000000 677113456 350572824 66356129 477557190 1000000000000000000 810894505 662522277 704210215 145138334 1000000000000000000 877959459 378650270 268219908 281333551 1000000000000000000 111135731 43830561 9722330 2431750 1000000000000000000 112329113 38529563 43839900 74865354 1000000000000000000 808414453 81532360 454469472 516123171 1000000000000000000 946088739 149555569 7301013 407779023 1000000000000000000 937897862 535926962 141773986 449058143 1000000000000000000 600449369 106639188 95310432 529250071 1000000000000000000 693571236 129428145 402951061 408939721 1000000000000000000 726213340 220387101 266649608 240353594 1000000000000000000 808514996 167150690 434211846 533407346 1000000000000000000 148821067 135324118 34925049 34155095 1000000000000000000 123363967 54370020 120176288 4103174 1000000000000000000 690162894 145202926 145326785 490514987 1000000000000000000 894514807 50332168 105574814 616125118 1000000000000000000 81947188 8336061 40342564 54460435 1000000000000000000 199498473 105144151 503205 188535339 1000000000000000000 551321729 350646175 550763953 399166807 1000000000000000000 314610810 216760938 14089456 149145009 1000000000000000000 951792300 230079965 236671891 214455530 1000000000000000000 844921299 644608135 354694622 838897204 1000000000000000000 282706261 64879712 127383262 9991625 1000000000000000000 355719234 254144157 283318014 38139415 1000000000000000000 463245968 441935392 129913940 203949992 1000000000000000000 539391347 530917221 249848445 431342563 1000000000000000000 640055757 454105389 388632106 115669147 1000000000000000000 537143638 379566096 112433805 299526088 1000000000000000000 965063440 531612738 302115835 797935339 1000000000000000000 574960615 87517273 6005162 327854305 1000000000000000000 283267471 275702845 78517425 201041046 1000000000000000000 975243955 327664499 899604518 886569328 1000000000000000000 739144871 295149948 325224338 355857534 1000000000000000000 30230985 28809889 15791443 19014844 1000000000000000000 12105873 10296769 11845989 10948935 1000000000000000000 361077072 299882208 23684234 238941227 1000000000000000000 150259114 45864028 114848330 146069393 1000000000000000000 959356054 426947033 316272696 902870633 1000000000000000000 258141959 70319441 154367498 213582743 1000000000000000000 919981058 645027690 788828856 369047945 1000000000000000000 31992297 8991714 12973617 3397409 1000000000000000000 839426636 19269136 801276375 98766490 1000000000000000000 285148633 33263468 279215194 111717008 1000000000000000000 515243802 430643096 156352554 247018986 1000000000000000000 928893621 237058280 803528882 542327321 1000000000000000000 284630297 164691621 246167574 40339981 1000000000000000000 417231974 64172974 79185134 257080261 1000000000000000000 419421862 154502688 300124020 377016377 1000000000000000000 877240608 672252365 77578841 763993963 1000000000000000000 238159366 46631105 139668306 50395622 1000000000000000000 193716022 87159688 63233799 84698087 1000000000000000000 778480713 564465486 282107294 580352347 1000000000000000000 238016883 159854065 71746971 17539514 1000000000000000000 98975448 19693335 44931352 55127428 1000000000000000000 581286312 253141289 530131742 370484231 1000000000000000000 845306574 500916703 601245630 36078503 1000000000000000000 136460528 79535214 35630462 87034421 1000000000000000000 692644828 620750097 62131234 607174718 1000000000000000000 160033934 87527251 63228924 94597951 1000000000000000000 798368882 5195615 59397693 526243644 1000000000000000000 953824978 472754334 834694547 472764167 1000000000000000000 216525990 207480639 34049168 140944269 1000000000000000000 843072817 801416212 378250603 672352688 1000000000000000000 968537962 552297504 845488001 301979616 1000000000000000000 152614654 92300677 8285743 120379603 1000000000000000000 867850288 687090521 865727283 107119756 1000000000000000000 788579005 223042820 735498659 525964781 1000000000000000000 395581642 187666121 381719556 151481331 1000000000000000000 543929069 95634378 78230606 483055943 1000000000000000000 971952894 946732652 297848160 954431530 1000000000000000000 656404582 587220440 462844534 365497694 1000000000000000000 622077234 264239162 357613453 399145009 1000000000000000000 365663541 110730118 231432255 234185319 1000000000000000000 475923455 403011953 332781204 148747851 1000000000000000000 328507375 247758506 96826863 216334238 1000000000000000000 928920566 364560557 518480815 291635294 1000000000000000000 443079961 314969647 1108326 360303180 1000000000000000000 75129239 74244819 17939206 16034045 1000000000000000000 6658196 4047127 3510154 2987278 1000000000000000000 259513381 155428885 10350223 71287765 1000000000000000000 847642753 671216210 534135819 415561572 1000000000000000000 212697382 55983901 139714685 163312560 1000000000000000000 704310745 426557509 93430953 618591554 1000000000000000000 829120732 289076363 156129223 589987066 1000000000000000000 753323001 640018443 499761780 614344210 1000000000000000000 605266246 405135542 401862020 302439272 1000000000000000000 484616832 183098927 459355227 90283777 1000000000000000000 58286331 5379313 43506520 5076435 1000000000000000000 22431303 9830406 18324200 9270159 1000000000000000000 577559439 141627133 350028216 532865485 1000000000000000000 502669655 160380452 148084557 17623424 1000000000000000000 236019513 160447927 112831503 105322032 1000000000000000000 318066976 92923982 230356984 190660119 1000000000000000000 932791021 527766299 172784133 905126221 1000000000000000000 546072093 504005672 53916991 333811393 1000000000000000000 807732827 219627533 699805951 221948339 1000000000000000000 174814195 156187284 76096842 87884057 1000000000000000000 773744981 188234571 226463858 606249282 1000000000000000000 875373682 349021193 96729572 663263270 1000000000000000000 84607193 16976056 24441298 33287097 1000000000000000000 387729764 220308292 219220731 283455337 1000000000000000000 37009750 35437337 15065498 14417076 1000000000000000000 735274430 405609226 664114379 646837038 1000000000000000000 368539614 77545690 298762728 300800278 1000000000000000000 399708066 21797728 28610564 221646201 1000000000000000000 503893819 285004734 349867200 335171865 1000000000000000000 196698181 40551383 10231297 83972001 1000000000000000000 647162790 217593735 228290869 381033935 1000000000000000000 396398926 49429938 151989595 254235754 1000000000000000000 358227962 126136202 33646752 220245157 1000000000000000000 241943301 36677286 53080950 49429092 1000000000000000000 983492470 797006076 421799846 115199603 1000000000000000000 328782177 185104517 178695112 229323149 1000000000000000000 531737963 78607171 295519093 102838666 1000000000000000000 332751267 284552205 238077925 268035687 1000000000000000000 294075505 110553224 281441773 217698786 1000000000000000000 809787578 786730484 539059651 341164819 1000000000000000000 306218676 260013920 85089392 56897833 1000000000000000000 887833014 209568082 706549627 743859769 1000000000000000000 140306420 88549939 2296656 103235697 1000000000000000000 856176227 593316845 80239959 345690768 1000000000000000000 690969185 254628552 639854400 43855481 1000000000000000000 508981624 144191585 90578156 234295078 1000000000000000000 167963757 21232663 60018302 103870734 1000000000000000000 166600401 21723847 113323048 136979210 1000000000000000000 390424846 100405308 370757846 116525002 1000000000000000000 395463962 306035573 352768729 238004849 1000000000000000000 483245098 358105620 178314857 303490208 1000000000000000000 250874257 245172235 118725057 84202651 1000000000000000000 684878682 650037673 382868100 588657680 1000000000000000000 365147054 129523857 260173962 62164637 1000000000000000000 107480717 38466172 78380556 28754051 1000000000000000000 624833841 583007400 1655290 420355298 1000000000000000000 934311212 20658783 263214378 788443990 1000000000000000000 127607154 103105514 68494705 35239362 1000000000000000000 580918002 213912378 250283399 443261620 1000000000000000000 520243042 43060511 515214602 18487230 1000000000000000000 236337244 133242634 8764098 24474220 1000000000000000000 349792132 190306785 285075553 165751748 1000000000000000000 965203306 344190200 613986189 478147727 1000000000000000000 226649948 22396780 148557946 81517284 1000000000000000000 810684450 374100224 63470549 618868354 1000000000000000000 524948902 176858072 374548833 27571090 1000000000000000000 891735215 309684034 726251898 493143703 1000000000000000000 644192475 76223653 450389681 528681423 1000000000000000000 640353603 486436170 270211314 446830671 1000000000000000000 879379121 326785307 114123916 665672001 1000000000000000000 375881022 64331620 15508203 314454904 1000000000000000000 455612308 153753134 156785548 39798634 1000000000000000000 808944375 406872681 620139581 385888660 1000000000000000000 483395949 345510573 443525210 237079250 1000000000000000000 345147075 212204222 270488242 45491801 1000000000000000000 932025587 633923098 258048054 260131865 1000000000000000000 556122553 183537068 549995092 369266134 1000000000000000000 274814238 58399996 266798611 4473841 1000000000000000000 538225696 445436669 204810558 351905844 1000000000000000000 39361135 36194703 12364120 4041869 1000000000000000000 298944612 222658388 202039777 52692919 1000000000000000000 822002019 321870285 518063516 412041740 1000000000000000000 825574027 724257723 783807373 805082117 1000000000000000000 623025703 359797508 427843210 47706258 1000000000000000000 429302090 29515680 50553369 154732766 1000000000000000000 23038916 21891425 7297780 22692003 1000000000000000000 644554399 417824030 122628093 600331012 1000000000000000000 771554638 331056399 768294576 82727599 1000000000000000000 609179537 283241307 106726036 403450336 1000000000000000000 293846168 28719487 245101154 392194 1000000000000000000 782206144 400634156 53349992 163951032 1000000000000000000 913829928 415257703 612501190 450425197 1000000000000000000 470619114 337841497 229899103 398328547 1000000000000000000 177456832 78995288 35031238 49171910 1000000000000000000 838940036 640906630 258760065 40621259 1000000000000000000 288529606 117320910 96357628 254424420 1000000000000000000 568858477 338489822 324979227 184320008 1000000000000000000 986747216 199651983 627715905 546293653 1000000000000000000 311257975 288142244 15342056 8261795 1000000000000000000 589278176 97338104 579140693 242569396 1000000000000000000 342851998 304052420 57673872 201003960 1000000000000000000 907804090 851851693 776578561 620833511 1000000000000000000 531017151 79480580 228333079 434844268 1000000000000000000 465994271 285023192 122304314 162729431 1000000000000000000 556616114 468915166 152650896 41820316 1000000000000000000 327453728 51715827 22256089 195492799 1000000000000000000 722129436 489105727 8584723 487462288 1000000000000000000 475035160 9962796 49768341 285482259 1000000000000000000 837780612 277578014 617842788 212546025 1000000000000000000 256806296 43600079 179975654 242723243 1000000000000000000 456592871 333426457 212261491 38945175 1000000000000000000 694837883 275288906 254028150 225097914 1000000000000000000 482913959 37786032 259539400 14591461 1000000000000000000 508372949 168054253 319344682 127453456 1000000000000000000 993514818 122746960 224347992 411110027 1000000000000000000 979355823 566739404 48886465 633795661 1000000000000000000 532907033 326830588 473353898 99393883 1000000000000000000 370768937 307061170 335018500 316968572 1000000000000000000 546878077 4235647 176698418 426862026 1000000000000000000 824119560 454772 543255231 382138711 1000000000000000000 480818697 257908639 354118120 223308012 1000000000000000000 69057631 16344866 53517218 63150662 1000000000000000000 334577315 280803738 193455639 378091 1000000000000000000 866689137 762727833 165769347 265533109 1000000000000000000 627142274 350473247 466781951 81168746 1000000000000000000 87300998 32320544 34195775 11741285 1000000000000000000 982409971 599918666 404333495 942221409 1000000000000000000 730038808 18582644 113288414 280022816 1000000000000000000 209385472 126975701 99402641 107319009 1000000000000000000 123000639 95691111 85115302 119869355 1000000000000000000 886437326 170039331 512153489 579751 1000000000000000000 140594803 16870704 43599478 30865536 1000000000000000000 757331075 436186832 656849530 146716698 1000000000000000000 979347770 255549147 473203100 639066271 1000000000000000000 838775426 351201410 730654144 309613964 1000000000000000000 159009373 85571879 59103836 149334017 1000000000000000000 574698102 295063959 34152544 97223052 1000000000000000000 19710646 3280833 18238817 15500911 1000000000000000000 543805063 174497635 524946065 432177142 1000000000000000000 914082035 380142220 374216419 829052548 1000000000000000000 172544559 81198489 22264702 43685014 1000000000000000000 779930379 726032681 584409365 574572344 1000000000000000000 875828122 741513858 265489758 534925577 1000000000000000000 502513468 338377259 499896569 71715386 1000000000000000000 237434053 201867054 35762679 125924307 1000000000000000000 979131127 544408883 859562935 607667647 1000000000000000000 751501816 323675211 361114534 181644202 1000000000000000000 865575746 45623690 150303806 398993474 1000000000000000000 533719893 451159901 484948004 292887228 1000000000000000000 294195375 160252525 54351846 262784375 1000000000000000000 88378925 24438382 87428004 70550446 1000000000000000000 545142660 42912201 342890548 320499648 1000000000000000000 147347081 137932558 102473852 39207821 1000000000000000000 820928162 616251736 274596927 581559618 1000000000000000000 664698483 56994425 379816359 12477988 1000000000000000000 289863533 102565396 79425145 144010340 1000000000000000000 735970280 684847072 391971070 443232963 1000000000000000000 149383429 148970160 63142555 112773844 1000000000000000000 258528444 224070967 54001896 8342295 1000000000000000000 43765127 33364049 31504498 26423276 1000000000000000000 182815419 95228168 99487785 53130113 1000000000000000000 412351862 53483534 225478370 344024757 1000000000000000000 149618530 113490026 24960095 35895564 1000000000000000000 691994448 347190085 645602490 77777345 1000000000000000000 337550479 31728453 38605770 173057151 1000000000000000000 856486264 443660265 748519034 139415456 1000000000000000000 554243404 66255989 480555043 438231084 1000000000000000000 593105653 225473106 563150721 108995379 1000000000000000000 728963041 409077246 605750326 610294317 1000000000000000000 523558002 93707583 257829674 184226623 1000000000000000000 136283471 45345909 119729693 24028554 1000000000000000000 296177377 139666621 195992355 259698661 1000000000000000000 512447992 54548161 71730553 124411047 1000000000000000000 55116974 29867384 10394462 17840454 1000000000000000000 632867201 547884165 205003034 619181448 1000000000000000000 944454823 585178133 536906982 378395310 1000000000000000000 249995736 237037251 36917870 237800556 1000000000000000000 637648868 380243204 486182965 534281799 1000000000000000000 975445873 586841728 93471262 802241652 1000000000000000000 544646834 364435987 431124402 331382393 1000000000000000000 81920942 76448998 45483846 47690526 1000000000000000000 472706608 438919099 268171736 302539720 1000000000000000000 864140106 15528060 726769385 820355512 1000000000000000000 159527943 21971543 70105587 114761577 1000000000000000000 155601295 23364122 41548656 5091931 1000000000000000000 135471421 124596083 101435896 132291820 1000000000000000000 862794310 716824890 58018846 786708093 1000000000000000000 152857323 135301384 1788635 57069609 1000000000000000000 819071936 691660871 141859512 67555584 1000000000000000000 820571830 127234578 202971399 366197674 1000000000000000000 546366914 461748740 452905772 336455118 1000000000000000000 949239353 799742700 432092208 325070664 1000000000000000000 495072060 396968305 443926747 140483032 1000000000000000000 698033755 548485568 480351238 318199959 1000000000000000000 425343564 222473005 421887800 348620118 1000000000000000000 499939408 443840242 183550667 400910541 1000000000000000000 597290390 3121239 158953424 132198390 1000000000000000000 4440184 666257 15668 3572980 1000000000000000000 67107054 41211987 27124216 14424915 1000000000000000000 356233226 139524642 85972032 272669263 1000000000000000000 992638574 210069988 453882702 377768443 1000000000000000000 894680289 508652323 246660002 520320195 1000000000000000000 675789443 112208317 375447657 503226352 1000000000000000000 143547470 33663549 77019683 38606755 1000000000000000000 920036227 154158698 704353963 318757435 1000000000000000000 280975812 13450797 242432887 230109761 1000000000000000000 550540115 412190399 236261872 486564659 1000000000000000000 256641956 207055671 69646398 124407050 1000000000000000000 420610323 161986751 80292905 91020471 1000000000000000000 24133476 17752815 21415867 15070506 1000000000000000000 164521095 119439414 13227200 153610038 1000000000000000000 842186987 474475640 626689425 196482820 1000000000000000000 738103662 31442649 660283339 509174006 1000000000000000000 594338567 204956680 133532585 3929047 1000000000000000000 909746240 56805532 450166880 374467989 1000000000000000000 639239928 613035831 408200475 577697178 1000000000000000000 268282608 93751547 51599522 206797527 1000000000000000000 775830485 348305641 65171139 437257713 1000000000000000000 591122535 194763250 515002852 8076630 1000000000000000000 971849312 859293461 464302861 773689923 1000000000000000000 115635472 2880314 14347015 28453993 1000000000000000000 220183988 153169027 171349274 102320613 1000000000000000000 537710272 308317444 349587683 457825796 1000000000000000000 727398392 482752023 156839993 127293809 1000000000000000000 869697981 11825378 815923504 407533893 1000000000000000000 437391694 281049983 134941693 382879659 1000000000000000000 41221190 11328798 985314 39178691 1000000000000000000 123090449 60399128 108219663 14765632 1000000000000000000 622138279 330864693 355460880 496363221 1000000000000000000 163485139 124411579 28778241 101337041 1000000000000000000 532782967 480252343 317844192 405852263 1000000000000000000 264927593 216567266 48926523 264314609 1000000000000000000 64162740 27449385 35074551 6380819 1000000000000000000 708744711 208841654 169424782 331378705 1000000000000000000 470253574 287636105 94494708 149259443 1000000000000000000 10865438 4122475 3741357 1827108 1000000000000000000 870760973 797561012 811578515 770142084 1000000000000000000 422729062 11880166 143935597 392678940 1000000000000000000 552669228 40879887 254850511 115151255 1000000000000000000 672540885 265204998 304191558 570428106 1000000000000000000 829106721 535794537 43660453 95963019 1000000000000000000 889527739 434636246 130118806 192899084 1000000000000000000 423540727 367211544 230422661 151650178 1000000000000000000 365835443 330610451 132589758 65024781 1000000000000000000 272489409 177483580 54879064 208601222 1000000000000000000 652444045 373951087 342060128 479138928 1000000000000000000 618888180 264563513 543566046 329478648 1000000000000000000 926072477 568395596 901148326 907884450 1000000000000000000 413629950 179464020 137909616 137808653 1000000000000000000 373933810 11655135 15870697 231221428 1000000000000000000 982252633 629529300 964269477 706683223 1000000000000000000 989562106 715134255 239231973 5954624 1000000000000000000 212245408 53807010 35128745 179547110 1000000000000000000 166938007 11991590 95426688 107434156 1000000000000000000 18647389 9006059 12765606 7935425 1000000000000000000 452483471 263694196 69981533 400941733 1000000000000000000 802428973 449482404 238021986 384466107 1000000000000000000 936327121 733327925 888726515 904838252 1000000000000000000 527122285 154451439 291420767 211533170 1000000000000000000 687751238 72648009 439873533 13151036 1000000000000000000 460228173 310095123 117622095 341547832 1000000000000000000 34658307 7420292 11785999 5861072 1000000000000000000 807647257 380756609 615435289 127612286 1000000000000000000 75291729 52821526 27178084 46067077 1000000000000000000 773002005 728874401 687570551 664283963 1000000000000000000 6826821 1517549 1938205 2000505 1000000000000000000 70163009 140111 38226125 26849499 1000000000000000000 910395407 513777769 426975360 756708777 1000000000000000000 341324921 237068520 280641094 249089838 1000000000000000000 216458697 119931744 111626515 152208895 1000000000000000000 585921406 419503388 317001375 362109642 1000000000000000000 308005555 242966797 206569006 214793770 1000000000000000000 533390749 205521508 308926875 215560121 1000000000000000000 494724593 334976091 28017984 423258370 1000000000000000000 751975075 152385831 189829047 624453168 1000000000000000000 732903620 471583189 317902649 213623132 1000000000000000000 936321216 405697545 409664656 370513120 1000000000000000000 160810137 160391142 144842160 74463333 1000000000000000000 42577679 19026059 23336180 2393812 1000000000000000000 966897017 270176642 30380585 522939680 1000000000000000000 71911825 40824066 17943548 69638801 1000000000000000000 305200381 304773536 13042289 103845111 1000000000000000000 541591833 210142308 260870508 58833171 1000000000000000000 856721314 416477835 10370553 833933055 1000000000000000000 4230295 1597846 3689809 3751347 1000000000000000000 161328204 99403073 61678525 65404042 1000000000000000000 767849767 166232849 562788792 346364551 1000000000000000000 230731072 198936103 197330306 146359281 1000000000000000000 860408696 18270606 49223454 6652822 1000000000000000000 414068650 99057869 312030280 201033381 1000000000000000000 890821015 708491333 322162986 590010921 1000000000000000000 917391216 524503568 385146630 93184442 1000000000000000000 670977651 114592278 296284990 553946559 1000000000000000000 496577878 227568303 406153218 67143829 1000000000000000000 984395797 377194984 14665356 84590668 1000000000000000000 615718288 15511292 345079580 241130554 1000000000000000000 507340787 181738064 300348191 117926427 1000000000000000000 627328064 113331285 460842704 255277208 1000000000000000000 626597826 622750405 596143292 230436070 1000000000000000000 1946445 729177 336282 1240643 1000000000000000000 39877945 21073168 21425177 28180898 1000000000000000000 344728327 206498027 126302388 334272190 1000000000000000000 559284279 178085616 170963756 495667398 1000000000000000000 401670762 241030009 327570979 310702643 1000000000000000000 1382016 832506 1105338 963762 1000000000000000000 606319753 401035625 412966002 484567756 1000000000000000000 266720334 66053538 245109799 86613527 1000000000000000000 535970228 530660740 53132740 405677006 1000000000000000000 34174285 4134340 27437578 18046784 1000000000000000000 463704299 271581083 423321970 253652389 1000000000000000000 552982479 40628998 308487969 153505348 1000000000000000000 244775425 98281637 130683598 35961746 1000000000000000000 529195996 80745837 361038114 343987074 1000000000000000000 518867256 39544826 310039216 301592006 1000000000000000000 793596084 108081420 671690789 759630736 1000000000000000000 126218182 37933102 74154025 66029699 1000000000000000000 605840120 310528884 179223522 425119596 1000000000000000000 522594682 411393022 232529126 123152300 1000000000000000000 851538845 133725424 618962522 226557544 1000000000000000000 670962061 197191255 208492074 142656897 1000000000000000000 656069833 112755462 514412458 128366074 1000000000000000000 72825191 40637015 54872964 41166686 1000000000000000000 6188749 1405386 2404214 5046779 1000000000000000000 24974871 18267297 5759823 20501152 1000000000000000000 422561823 339131141 169856856 294526175 1000000000000000000 112982437 19588171 4466827 64471796 1000000000000000000 934831835 694520379 846843396 916555027 1000000000000000000 105430408 51451199 34180031 50312476 1000000000000000000 85606597 21586256 20389107 9619960 1000000000000000000 555517448 436387523 518556037 465355442 1000000000000000000 339948704 261338073 35983365 19559550 1000000000000000000 354181626 234046672 82651818 263163786 1000000000000000000 189197660 168445719 76507927 58202070 1000000000000000000 44141920 8686309 2223220 42478163 1000000000000000000 326442125 201423352 291192153 48337904 1000000000000000000 640920334 516051756 110621973 248191719 1000000000000000000 310209248 234000778 110681457 111128959 1000000000000000000 205891783 99809962 2196356 66230750 1000000000000000000 57477609 5859466 53765824 19287613 1000000000000000000 225237814 210094520 21037195 33594098 1000000000000000000 900382487 251784709 556622496 546705066 1000000000000000000 93910744 82032004 59393213 36451524 1000000000000000000 511508770 322794334 408640565 291812108 1000000000000000000 13403580 3126376 9647256 13181625 1000000000000000000 471531455 269780215 91521927 217848138 1000000000000000000 436268222 232164026 157063185 204825272 1000000000000000000 502836878 157920778 192359856 363150635 1000000000000000000 311931315 43149238 45807633 146659021 1000000000000000000 887084551 194224413 275662353 38474729 1000000000000000000 58507797 50471939 35617472 26826266 1000000000000000000 250370839 245097740 23816284 209551497 1000000000000000000 644188759 411493590 190476012 285335296 1000000000000000000 222794600 83876646 142289276 4463257 1000000000000000000 930658838 641453766 639079031 425215802 1000000000000000000 754411005 747937753 108532844 326409436 1000000000000000000 603813014 116324247 75666378 208098869 1000000000000000000 218817510 34844720 40964838 18006225 1000000000000000000 252076428 199053541 133049162 84174866 1000000000000000000 513308688 361375430 191981795 272741631 1000000000000000000 937662251 714831301 397926688 430996719 1000000000000000000 379107520 229153704 81225071 13135625 1000000000000000000 320220179 310455301 218701151 158159466 1000000000000000000 952377531 401370232 355756520 466896853 1000000000000000000 515226512 12304809 285296044 449848573 1000000000000000000 472115055 213182744 275934373 469945526 1000000000000000000 87719679 73348083 81186059 37526792 1000000000000000000 395055932 253627653 308241566 317359736 1000000000000000000 287181963 169106620 163965387 183952163 1000000000000000000 573899812 123298346 150842060 406526861 1000000000000000000 190787426 116409052 15774097 68655976 1000000000000000000 524619847 37975744 289302861 299462729 1000000000000000000 950535043 13578469 50066426 246011896 1000000000000000000 820890514 626408996 183592765 59112756 1000000000000000000 45826253 40072655 12782387 3961037 1000000000000000000 305751430 283059969 72515919 90516869 1000000000000000000 412209473 66203031 35005298 211012997 1000000000000000000 373142338 326824173 152749004 87975675 1000000000000000000 835735688 405397670 273156625 65586186 1000000000000000000 253739097 172068297 137900107 149781855 1000000000000000000 355068455 258922071 253564963 333456669 1000000000000000000 913321197 371800372 55270779 795947039 1000000000000000000 547632036 397441882 259807572 329707362 1000000000000000000 76256189 64947830 67886986 31443660 1000000000000000000 957646762 544254597 428699531 393632672 1000000000000000000 487205892 262082543 234708693 231341429 1000000000000000000 500398732 379819356 176853389 271733991 1000000000000000000 177737809 1638026 82756088 165281471 1000000000000000000 875383097 345618279 118276513 377268423 1000000000000000000 569027716 23232333 377400923 298112851 1000000000000000000 910908318 620037874 765997370 66743025 1000000000000000000 570106493 343523049 41779311 135714701 1000000000000000000 988003067 546725047 154175390 265448104 1000000000000000000 370853948 184959631 368991849 181861870 1000000000000000000 30767913 1156284 16164613 20631549 1000000000000000000 544374714 476395117 471143088 127292155 1000000000000000000 495045031 392341294 62269986 276049616 1000000000000000000 676023457 600715489 666834741 272290598 1000000000000000000 130192348 43127055 67151790 40815012 1000000000000000000 525827392 67943926 312173428 47339039 1000000000000000000 558171748 241052184 60183528 310297157 1000000000000000000 593838048 484819110 130920443 358016886 1000000000000000000 70024923 12409044 38759899 62774477 1000000000000000000 691783251 612605348 675678415 644395046 1000000000000000000 344497252 194613944 168537196 144779213 1000000000000000000 525714490 356548476 97578808 408369740 1000000000000000000 185525584 162027380 59493745 110746611 1000000000000000000 607511081 500298925 107353865 508270371 1000000000000000000 181582640 10450394 41062959 148003435 1000000000000000000 121610761 90776562 101609716 23983938 1000000000000000000 45846646 33718671 45565516 17684879 1000000000000000000 497728009 258877263 487200526 292432220 1000000000000000000 530939858 392137897 201063562 414130283 1000000000000000000 865405745 428732178 407811374 642401317 1000000000000000000 786473006 198071219 391030267 68546332 1000000000000000000 963098831 351663802 146652847 815342153 1000000000000000000 155599623 105540096 24751068 81945722 1000000000000000000 640580428 499763357 409228610 450671836 1000000000000000000 852710141 478308728 102010523 112909040 1000000000000000000 501355171 344243479 111722470 337784167 1000000000000000000 574231114 426347676 542903083 572930136 1000000000000000000 409661762 328436501 32340105 6385777 1000000000000000000 181712368 142835768 98713859 98274781 1000000000000000000 306923247 112307727 176697869 33322339 1000000000000000000 34659331 24045738 17032867 12968395 1000000000000000000 547999856 153271586 326873751 432130366 1000000000000000000 455146608 340731607 161596731 17790776 1000000000000000000 508005675 176824442 38608941 144404755 1000000000000000000 525046539 134737896 391990823 202402692 1000000000000000000 181091788 100969471 91176441 167600555 1000000000000000000 150134828 78874615 50463565 29139873 1000000000000000000 621648159 75747794 485252763 572190442 1000000000000000000 148175677 15070937 88015088 45910463 1000000000000000000 895715515 497172241 893471215 28258829 1000000000000000000 871702045 141932406 235574599 653076874 1000000000000000000 49571567 2483315 28395560 16062280 1000000000000000000 270498770 175167178 116944599 64874741 1000000000000000000 346939699 114004082 318530326 139914986 1000000000000000000 387731047 143692473 362831549 244893570 1000000000000000000 644187902 382574534 268826219 202115549 1000000000000000000 62742825 1696390 16334668 10941246 1000000000000000000 926352208 210220533 766012294 769412496 1000000000000000000 945422663 375748294 840303591 130567513 1000000000000000000 349786567 77603213 276640818 241049762 1000000000000000000 505234671 133310976 101662933 351929260 1000000000000000000 861524775 401986787 537766314 128196577 1000000000000000000 192788780 158564439 78988318 7661663 1000000000000000000 519761221 66677142 46379934 447592323 1000000000000000000 298272028 284745642 246667122 14408106 1000000000000000000 370746960 197627019 52225551 2257296 1000000000000000000 672370841 423427853 193189803 337367845 1000000000000000000 152711220 90109645 81666782 117323340 1000000000000000000 971545090 308900161 652860878 467309532 1000000000000000000 194421894 93996087 192327752 138646285 1000000000000000000 767942743 29107458 284235036 184868906 1000000000000000000 257548679 99769875 246599153 197815292 1000000000000000000 771831487 420918343 486389133 506177065 1000000000000000000 841319067 665047663 622328749 330634643 1000000000000000000 826750572 110728621 646897647 536791358 1000000000000000000 261072936 34354737 243012674 182445581 1000000000000000000 925363605 43052769 265419169 276254478 1000000000000000000 339329088 141631252 312955329 276627046 1000000000000000000 855784209 325822362 264888817 732331121 1000000000000000000 530106536 311857779 13073955 182776567 1000000000000000000 870013225 454205532 395974393 243561416 1000000000000000000 710204865 303769258 290216729 288536006 1000000000000000000 608703215 276044560 390742338 120239610 1000000000000000000 573180205 364180520 492920418 352181850 1000000000000000000 664655199 315399446 647778543 234166063 1000000000000000000 724557948 667341983 636888065 203817664 1000000000000000000 205596969 123648288 82326948 56263104 1000000000000000000 397976951 118266388 247108908 89188217 1000000000000000000 608741385 10469995 73385190 385294168 1000000000000000000 605088114 235478831 299057822 89999850 1000000000000000000 830807675 513540904 284083641 310375265 1000000000000000000 538128416 142039428 136752735 268711716 1000000000000000000 218922828 98808703 172798660 113555941 1000000000000000000 389132634 101889403 78408811 235667555 1000000000000000000 317376648 215941722 10392979 165213413 1000000000000000000 425836298 317740674 282677941 27808722 1000000000000000000 718276860 652498332 239131396 96288772 1000000000000000000 810057263 108664479 739018507 72756735 1000000000000000000 516288170 485955166 50751856 138761652 1000000000000000000 484173010 14539570 101671658 382137627 1000000000000000000 888531838 101709830 496143527 28665788 1000000000000000000 454655018 382272420 103708822 157431763 1000000000000000000 822028433 563306321 448971262 657374681 1000000000000000000 12223075 434824 9418146 11771935 1000000000000000000 302174582 206768252 263265854 287568710 1000000000000000000 926121930 704435175 462643417 297004867 1000000000000000000 820808972 115668023 699994152 72444168 1000000000000000000 997593796 52305383 144045105 963402169 1000000000000000000 573739137 206563750 353039166 46296735 1000000000000000000 427437536 395106882 341607770 144299481 1000000000000000000 390072479 129532925 3419849 269904935 1000000000000000000 946013490 109808625 529841995 936619343 1000000000000000000 809631064 99430840 243577197 608337316 1000000000000000000 877187866 82638057 415856496 286982700 1000000000000000000 348352627 283210812 342408677 237424984 1000000000000000000 392180705 224834485 388701552 192980995 1000000000000000000 904691204 377306935 239338681 726509564 1000000000000000000 579582726 298480855 252471689 553011680 1000000000000000000 810185960 267708994 258074933 212688299 1000000000000000000 660442530 525095296 330322260 353486598 1000000000000000000 240737674 122385041 10011211 33149853 1000000000000000000 826784144 397701474 802768338 225275033 1000000000000000000 783033759 201952448 651457785 468739237 1000000000000000000 708294581 656006978 522192384 16789528 1000000000000000000 882305678 652749130 311123352 557506223 1000000000000000000 992360020 176029256 858972937 741278186 1000000000000000000 373483980 68120057 51016849 356062672 1000000000000000000 943434236 638738019 392469773 415984886 1000000000000000000 637303294 382041776 588902809 475430106 1000000000000000000 75628399 5388886 64386996 59070241 1000000000000000000 241188540 116490545 224175872 119117667 1000000000000000000 464682480 215972615 64792498 45046397 1000000000000000000 719990448 5105004 243908176 295984469 1000000000000000000 154843734 65036954 33806993 51684099 1000000000000000000 693305565 91303521 272870331 98945617 1000000000000000000 631950043 539450035 12856360 308216940 1000000000000000000 193074622 179987552 179998917 68506393 1000000000000000000 233930055 116792124 222725651 19316474 1000000000000000000 204844167 38183644 33271263 6223656 1000000000000000000 195339711 193204565 166849394 161019017 1000000000000000000 846704653 579790079 60202845 123639929 1000000000000000000 121648952 116220675 74232038 112571984 1000000000000000000 510495716 139590558 162314631 267611391 1000000000000000000 545826883 56574542 375113577 101998899 1000000000000000000 585822117 378531821 115983055 523534311 1000000000000000000 978477626 28152343 197896833 466907338 1000000000000000000 427531682 38785093 416471685 87478559 1000000000000000000 493851424 477361583 455225401 358470018 1000000000000000000 447022099 125037161 430534702 359861301 1000000000000000000 103179135 58335285 93068511 91027762 1000000000000000000 418158430 139963384 335244603 377092017 1000000000000000000 880469842 57050155 777289917 497992169 1000000000000000000 35426949 12059195 5751227 30000522 1000000000000000000 283024674 253312437 95476060 8470315 1000000000000000000 415753454 396927610 31309538 317603181 1000000000000000000 58533037 6599955 20507379 23401264 1000000000000000000 944015117 185586342 125229712 356296445 1000000000000000000 72818661 61330161 25281774 929463 1000000000000000000 822495461 27794159 427026117 617021296 1000000000000000000 364198089 188435313 22384142 190191032 1000000000000000000 74592193 618471 70451760 60513521 1000000000000000000 84591491 18408265 1390509 14591873 1000000000000000000 378434607 302558469 142545652 257965831 1000000000000000000 380541778 111895892 199676670 252857914 1000000000000000000 530084259 151040964 230080167 81310181 1000000000000000000 282540936 174692382 131227285 115919997 1000000000000000000 770019690 194533594 603560299 744441685 1000000000000000000 583725414 144536237 11496696 475879196 1000000000000000000 955732451 134824281 365294043 721323318 1000000000000000000 502915321 68102879 426891135 323378928 1000000000000000000 893246071 491546357 129129007 719556904 1000000000000000000 602459540 259805751 252740480 136709920 1000000000000000000 854023848 485820455 601332323 65904753 1000000000000000000 382626691 24531753 187362917 204246889 1000000000000000000 860507898 344849019 512382160 617691527 1000000000000000000 304490248 128945760 33601532 245520802 1000000000000000000 55258269 7115491 14246373 26531559 1000000000000000000 753833364 264328805 68390794 26530829 1000000000000000000 302332661 289074770 2257679 182493372 1000000000000000000 586207958 113662850 208959467 162919553 1000000000000000000 617361774 574956491 526648397 469902511 1000000000000000000 4484199 1241940 3152193 430669 1000000000000000000 948180295 937717868 761160375 663862090 1000000000000000000 123067381 88161224 61335429 62963880 1000000000000000000 877088720 542993152 485198582 588774695 1000000000000000000 844308493 394655982 713246441 554915978 1000000000000000000 482798479 418072889 269111103 98564647 1000000000000000000 101107787 21125408 84206856 28756259 1000000000000000000 869946774 175495696 579517690 51995561 1000000000000000000 112370123 23642155 5473243 104784812 1000000000000000000 221884746 180637883 16664699 75416651 1000000000000000000 253944088 80049084 136551673 40761606 1000000000000000000 40182064 17460078 14604995 23490493 1000000000000000000 268253813 263185180 183185667 46090157 1000000000000000000 878553567 102187487 498869586 475217606 1000000000000000000 111054442 95235959 56752962 29045133 1000000000000000000 173388335 72088518 44920307 29441123 1000000000000000000 963467917 892632205 803494843 947298668 1000000000000000000 871767063 143325146 325540510 582634383 1000000000000000000 317095086 203529367 303432269 23839015 1000000000000000000 993769394 675774668 698316398 344458113 1000000000000000000 57788413 32408364 15847256 26018398 1000000000000000000 855747552 661896622 416849338 802870051 1000000000000000000 871791772 278867745 434159175 698015824 1000000000000000000 401742346 179247361 33997987 355673507 1000000000000000000 115053376 94057090 60343451 80838890 1000000000000000000 108192500 107369360 91215001 8449756 1000000000000000000 100446158 14600949 67457078 74313138 1000000000000000000 52771289 20701437 45878151 40664880 1000000000000000000 804291097 653652108 661043467 355189205 1000000000000000000 795879031 535588726 95873238 589715943 1000000000000000000 668611609 41694707 221372352 593591241 1000000000000000000 663819062 467636929 44692500 243306811 1000000000000000000 575377970 330359446 172730817 15595844 1000000000000000000 147695829 120794723 81618811 113996170 1000000000000000000 147514783 77156943 81744088 65255087 1000000000000000000 383686266 224569433 335621191 142426444 1000000000000000000 173556905 143880530 49271422 122417403 1000000000000000000 71425688 37035109 22953076 4611 1000000000000000000 781644321 571444636 128417564 20378598 1000000000000000000 985262292 894373585 535537223 910699219 1000000000000000000 331011535 102073585 295669390 316828879 1000000000000000000 160443359 68066985 64297746 5763888 1000000000000000000 106300000 18726539 69797464 94087998 1000000000000000000 534909053 446144977 290727153 76380220 1000000000000000000 715017744 552071300 494749596 90756605 1000000000000000000 366708860 360818441 74132786 200303390 1000000000000000000 778983729 576569407 206350932 146185793 1000000000000000000 288940087 47810142 42945715 227214898 1000000000000000000 912777372 236060151 155989692 809596461 1000000000000000000 761281391 193849024 306992730 569533734 1000000000000000000 494351224 460029778 234777049 189259961 1000000000000000000 806669955 666325020 236955775 624555584 1000000000000000000 137468998 34318820 66865297 38432025 1000000000000000000 835833876 233307329 131454850 792374929 1000000000000000000 811454198 443247063 165397660 154746341 1000000000000000000 656022790 174858635 296156973 526612018 1000000000000000000 525667286 462603407 361124518 478031163 1000000000000000000 458049232 70687309 401528872 394133973 1000000000000000000 544261751 26106453 85888122 223564528 1000000000000000000 711595646 591817971 504187085 321969966 1000000000000000000 810685101 43974295 136465383 727324397 1000000000000000000 163096555 114921568 34103288 152645401 1000000000000000000 617456629 605092133 326820308 264463858 1000000000000000000 486981927 21445530 129496829 125636637 1000000000000000000 529940460 191610914 233262185 472816548 1000000000000000000 225761874 215504597 44842994 48533454 1000000000000000000 227493630 215827424 79098275 218806111 1000000000000000000 119438703 38774534 38463625 119417989 1000000000000000000 425197039 383063256 22422414 297440631 1000000000000000000 432644605 111091643 268914763 241278298 1000000000000000000 631177967 304111507 598611429 119075784 1000000000000000000 968551959 473372962 565343270 897587100 1000000000000000000 23040498 14484847 21314143 13826818 1000000000000000000 889412904 54864441 61651837 23813486 1000000000000000000 177280023 134069622 114519696 79996992 1000000000000000000 181539163 159737959 78015177 126853522 1000000000000000000 309052362 77136015 186325537 99323164 1000000000000000000 906554594 491190351 555078388 3129909 1000000000000000000 746305262 527101953 433814639 583079846 1000000000000000000 523008098 116167737 98637593 75497116 1000000000000000000 417429282 131944893 26658715 348389043 1000000000000000000 199008190 15401102 96168769 62732642 1000000000000000000 207351708 80263054 45539330 25614374 1000000000000000000 989781812 253816650 470114565 832456505 1000000000000000000 641316038 556838749 67007113 247715533 1000000000000000000 120546517 8402547 42649134 38261002 1000000000000000000 38482269 1775284 32199414 29080021 1000000000000000000 617981347 281397467 200664518 517974443 1000000000000000000 829997067 24050247 189657337 404310977 1000000000000000000 861864117 480137588 49109897 854542709 1000000000000000000 618890330 136723110 418597943 565418310 1000000000000000000 654912443 141521801 445314446 597863718 1000000000000000000 647043997 514512554 257487219 232884387 1000000000000000000 25942183 2589045 18948207 2648347 1000000000000000000 559285366 374693165 264836060 423796371 1000000000000000000 577915728 568684597 501865375 33330684 1000000000000000000 182618820 37767044 167638422 39832720 1000000000000000000 189212759 26700323 39976412 155017563 1000000000000000000 22612596 9667749 6386378 1500258 1000000000000000000 497347014 143393149 227038610 243666502 1000000000000000000 758650622 584249814 525911238 30015669 1000000000000000000 363461975 20844628 75436589 72947500 1000000000000000000 282187995 196821288 79055093 101577909 1000000000000000000 224949862 35842898 106271789 140502755 1000000000000000000 857971754 530250 791200740 514310205 1000000000000000000 365384685 50133698 174367588 96740707 1000000000000000000 752431234 475720382 578103760 169829409 1000000000000000000 294421368 154799849 122247583 21784359 1000000000000000000 489900502 55279221 404180034 296230816 1000000000000000000 861563954 579626184 211250826 371136936 1000000000000000000 714226356 501246640 39118393 667279103 1000000000000000000 896257899 569497752 450875231 645838372 1000000000000000000 353815034 289323967 138116922 177815819 1000000000000000000 828006690 502766574 41498425 290403478 1000000000000000000 506930992 504197477 171062127 325727983 1000000000000000000 722529075 602670245 446613501 245455315 1000000000000000000 14029692 11615340 11912183 9945398 1000000000000000000 794252838 581433698 31549290 324773117 1000000000000000000 752880251 508181598 615196216 197344764 1000000000000000000 353883903 227066560 12207963 236537722 1000000000000000000 209462112 13170837 71945744 212271 1000000000000000000 356576406 204460719 319609346 116463452 1000000000000000000 17538283 8331175 1751205 531468 1000000000000000000 370666584 60674157 138913163 212299543 1000000000000000000 796605523 545089587 667868709 785647226 1000000000000000000 613796995 590598354 270950743 245058230 1000000000000000000 460722873 55831592 339820255 358998279 1000000000000000000 652475441 612919271 106425322 254834389 1000000000000000000 486879602 427506095 337437128 11536075 1000000000000000000 676167842 619931551 187998102 567096835 1000000000000000000 490062851 255522519 138393595 352711891 1000000000000000000 56537226 23166764 45994025 52270170 1000000000000000000 967764168 436664259 174019438 579931668 1000000000000000000 690212983 435594893 126797333 170593929 1000000000000000000 210580561 38750380 153675926 161292797 1000000000000000000 370099774 213198604 40553385 232030273 1000000000000000000 477899171 57524781 207156678 223839418 1000000000000000000 455220398 389344923 111838059 251434469 1000000000000000000 428424138 251524674 109423310 136247945 1000000000000000000 989703700 700171095 829648093 727646641 1000000000000000000 571019550 358163189 296103303 536770639 1000000000000000000 449715569 424061024 102141948 298616046 1000000000000000000 586216439 93121992 438757859 468695167 1000000000000000000 491160554 132972946 403541683 349975141 1000000000000000000 543248455 536599951 372450222 399015598 1000000000000000000 312621430 43090759 13723832 186436343 1000000000000000000 734817653 377898362 119209117 524084709 1000000000000000000 219675295 8638419 189307675 175927080 1000000000000000000 458223389 442081529 125595901 364100363 1000000000000000000 88187764 4957004 8096348 68896247 1000000000000000000 221587130 132310319 53492116 25727400 1000000000000000000 114491527 75142911 44783077 7863786 1000000000000000000 793748440 237675999 478403693 474301798 1000000000000000000 749985152 622014456 319837761 304452402 1000000000000000000 220110923 37687553 2070652 216657390 1000000000000000000 680453903 406051468 605614917 144775836 1000000000000000000 33275749 19323516 7293987 21990366 1000000000000000000 822287930 124828818 421738273 79350047 1000000000000000000 677213891 442987456 476527079 492053121 1000000000000000000 379911851 127070107 57210170 16301804 1000000000000000000 213375953 135255468 160087143 144005613 1000000000000000000 85573724 79811847 71319558 64265243 1000000000000000000 599847505 99061943 230606976 226986240 1000000000000000000 378163182 96227491 234419981 37393801 1000000000000000000 159722836 7565551 148149154 46714150 1000000000000000000 195295432 131831 190335942 140071435 1000000000000000000 579393006 29899514 53379489 433668010 1000000000000000000 865534732 703080656 829434047 452632708 1000000000000000000 286625669 232640640 117930029 250086852 1000000000000000000 887427150 271180483 225448348 666864370 1000000000000000000 144053532 2645933 19664635 142622647 1000000000000000000 628101522 265586965 279614631 28325461 1000000000000000000 444814146 134340319 257123926 412316245 1000000000000000000 971987697 536208974 106667472 474827319 1000000000000000000 112516020 76722386 40432406 73934544 1000000000000000000 848681304 768799381 537943518 208356907 1000000000000000000 884688029 71084498 39317783 279878575 1000000000000000000 375432492 32419763 330787268 310872465 1000000000000000000 95944874 67331196 22633016 79808173 1000000000000000000 594353878 564980620 214343463 374965933 1000000000000000000 251262622 146633969 248004905 234617511 1000000000000000000 72109719 10306429 4956847 5208465 1000000000000000000 880197941 23555218 530092129 424038824 1000000000000000000 239288502 110923595 100067950 145315411 1000000000000000000 660808707 143804094 299509867 68580699 1000000000000000000 477830257 349114379 466236326 286687716 1000000000000000000 789881805 321705004 606702276 149870085 1000000000000000000 311831644 82938933 7694176 44241663 1000000000000000000 76334771 70783133 49679359 46358594 1000000000000000000 794727650 334641135 249608046 286314875 1000000000000000000 831975381 308322064 827819256 1534707 1000000000000000000 898905661 364825446 504620623 623046510 1000000000000000000 43174224 39349135 6736631 33484267 1000000000000000000 213218474 44932455 93107748 163241156 1000000000000000000 697700018 337402128 377258338 231730773 1000000000000000000 759438370 543800401 699540482 450026580 1000000000000000000 292956018 286505556 268342686 233959551 1000000000000000000 119827096 38089499 41790697 33222435 1000000000000000000 100122257 62681316 1183578 73970227 1000000000000000000 129527771 8700998 5620771 28827347 1000000000000000000 2647575 33606 1695740 217376 1000000000000000000 818518562 136980920 750354127 6087341 1000000000000000000 891220584 199328063 667251307 518993859 1000000000000000000 910669501 91390363 250458832 739994535 1000000000000000000 596012932 501030421 545127545 157675590 1000000000000000000 265323250 33322586 106493376 98157040 1000000000000000000 581792627 531717726 80470853 18716296 1000000000000000000 704313140 250574661 568880947 558863899 1000000000000000000 397636523 225484062 308319475 285872859 1000000000000000000 31699076 1045355 20480174 22095376 1000000000000000000 500452720 256303096 494601685 434250471 1000000000000000000 897563692 543041815 44662370 138184092 1000000000000000000 428426157 70580 201213761 148546209 1000000000000000000 179464131 84613820 3071530 23184902 1000000000000000000 604357592 293501938 382564015 254695502 1000000000000000000 174106438 166590419 23714782 20910744 1000000000000000000 776338455 268009246 503453368 418040303 1000000000000000000 65252213 18875845 42428502 51690311 1000000000000000000 703708256 208083236 287573296 499934593 1000000000000000000 911695216 834695330 896595968 322304323 1000000000000000000 640763714 104429575 473246165 507949935 1000000000000000000 618017857 14653758 7988680 285070113 1000000000000000000 997567734 487759885 172291617 374064006 1000000000000000000 965368476 405184179 174792127 909948909 1000000000000000000 751870540 712736850 28427660 37099039 1000000000000000000 772013106 326925525 481547210 54651666 1000000000000000000 179116034 45548389 173013433 150276007 1000000000000000000 756423543 118164534 740550681 133786093 1000000000000000000 565331260 196591253 480890554 152991367 1000000000000000000 116498737 28497566 27696185 46758891 1000000000000000000 290741886 64353456 257606994 218479165 1000000000000000000 560665412 25454663 240235687 33832975 1000000000000000000 82596775 2935439 76137816 7781383 1000000000000000000 375802388 342203779 12586647 119641283 1000000000000000000 539310999 375240520 364538417 359508428 1000000000000000000 986472331 727225565 201865308 395932835 1000000000000000000 742997505 293863247 48707436 596095683 1000000000000000000 531255317 357847793 143612919 511313324 1000000000000000000 383254563 168289150 246447745 195790611 1000000000000000000 841977831 741057976 195503513 316551369 1000000000000000000 244012458 92385702 241315400 183872887 1000000000000000000 437311148 246175647 107245316 199350416 1000000000000000000 361947463 84719542 74943167 193318613 1000000000000000000 627410452 297600882 96776434 505232727 1000000000000000000 841727763 79368749 705503935 344981542 1000000000000000000 562874471 522675532 546466357 180793262 1000000000000000000 479564655 301234764 296785546 343180713 1000000000000000000 392976422 186361614 19837746 163616452 1000000000000000000 156021205 8955132 28989675 57871123 1000000000000000000 292217206 27662870 195728353 122013336 1000000000000000000 510029098 405422412 128867630 450862481 1000000000000000000 562312302 59664448 66914739 28078503 1000000000000000000 285196387 281216220 105181363 98946564 1000000000000000000 902387151 513511017 261840559 313295673 1000000000000000000 887438709 572955160 139261625 268920066 1000000000000000000 546624764 79721738 62370978 98408259 1000000000000000000 338065657 57088569 147396141 296888492 1000000000000000000 539792564 115235673 16747638 215312527 1000000000000000000 290158048 113127217 28693388 133977162 1000000000000000000 461369896 159914393 66159825 338012694 1000000000000000000 353630527 26006647 95713130 73420178 1000000000000000000 821884591 302921488 368441121 173632570 1000000000000000000 766422043 163456129 131243089 388347416 1000000000000000000 772291232 326044243 682752562 688983194 1000000000000000000 864159674 846988309 636818498 49287635 1000000000000000000 843199089 786185765 425609561 752936296 1000000000000000000 88964704 45819472 39881870 55500992 1000000000000000000 91144318 66220521 9650 2185388 1000000000000000000 16604266 3219336 6055101 470521 1000000000000000000 32445138 577071 32135256 24625612 1000000000000000000 167193965 110754105 30671997 9161721 1000000000000000000 710714032 348992919 262196661 664251692 1000000000000000000 815427357 793287355 740953608 106142615 1000000000000000000 765196614 117294129 90633440 412257196 1000000000000000000 527848449 479798848 367500053 58246197 1000000000000000000 551782877 85937527 445169751 423492269 1000000000000000000 244013443 17002423 143109004 94566598 1000000000000000000 779848819 411957327 734663189 105943863 1000000000000000000 912022102 705112080 169999825 470766871 1000000000000000000 241833308 238002746 178439632 182646017 1000000000000000000 601562023 59010855 385917738 139676224 1000000000000000000 221337972 155174995 12111466 86162269 1000000000000000000 858275506 388104589 318655616 300548805 1000000000000000000 150190651 85947364 52551118 9097038 1000000000000000000 882508417 799573167 74342498 225442774 1000000000000000000 82307709 69058355 2940975 20819159 1000000000000000000 369412199 54359409 322034937 85124243 1000000000000000000 231477256 199034985 177826685 224151726 1000000000000000000 599922798 256607942 55613393 404273309 1000000000000000000 834152217 134360739 408949894 793288228 1000000000000000000 482946447 337756999 458590002 450292815 1000000000000000000 520343185 269819894 294741804 208133511 1000000000000000000 393419399 47924121 282143888 237206250 1000000000000000000 266507765 14111111 234561993 249651291 1000000000000000000 575694371 68996663 81625148 71537357 1000000000000000000 592505859 326515052 264057442 378698873 1000000000000000000 663551175 621503655 488696418 663407315 1000000000000000000 360325162 342311217 60809159 169138000 1000000000000000000 882945920 281687695 754005862 327879344 1000000000000000000 982230285 716581743 682274138 1761822 1000000000000000000 601453363 60742501 369270029 353827459 1000000000000000000 944881120 226601745 194330359 329753743 1000000000000000000 376099689 62732032 349766981 28431541 1000000000000000000 181104332 17703891 172759657 34651288 1000000000000000000 278742730 252140645 278056705 202801355 1000000000000000000 522160104 174961299 99024828 341722771 1000000000000000000 136469150 17876520 50640849 129802794 1000000000000000000 46219607 8370118 26859174 1611354 1000000000000000000 651879844 477919052 202807847 496918145 1000000000000000000 751582258 67856504 250919561 213746223 1000000000000000000 517786578 244012692 179965304 303358611 1000000000000000000 877991977 3182192 684371647 433666403 1000000000000000000 513390944 336886649 468397303 189003060 1000000000000000000 96152444 43282588 66394629 93901721 1000000000000000000 835035923 343912436 568707300 542017875 1000000000000000000 287930219 71735054 122575925 40323821 1000000000000000000 264326214 103135288 133456614 27697804 1000000000000000000 332398052 294995363 305843137 69369935 1000000000000000000 500936454 487395720 445952625 245660982 1000000000000000000 857091792 793739915 473848915 588073024 1000000000000000000 914100852 886846428 288538437 671844011 1000000000000000000 709941178 34653464 156703257 684006408 1000000000000000000 645855710 601463260 399044041 624878294 1000000000000000000 566862624 139317879 468445248 519290891 1000000000000000000 562227628 389321551 82657106 66950978 1000000000000000000 211005144 107799045 73828707 169324660 1000000000000000000 393697954 234056936 123534379 194434016 1000000000000000000 612903964 211257738 192669758 311637177 1000000000000000000 986384746 755294827 279099271 556219709 1000000000000000000 531753859 362982388 146680924 123770809 1000000000000000000 202027144 149015625 119458442 49286060 1000000000000000000 466894424 203279728 464893823 210426068 1000000000000000000 376210302 62900918 32486589 163819298 1000000000000000000 214959889 13355765 184346850 628462 1000000000000000000 847968660 323179311 191966045 438745462 1000000000000000000 240111212 131333936 107222798 5499521 1000000000000000000 776743390 449441025 71539479 162106053 1000000000000000000 568209096 500830987 321837046 347712247 1000000000000000000 755688746 392402034 178037190 612166377 1000000000000000000 734170805 421069636 187380008 664072334 1000000000000000000 982755846 253790919 361294155 96230901 1000000000000000000 118447912 113691282 82289260 72889699 1000000000000000000 763029986 510121324 429473894 22086675 1000000000000000000 998753534 631246747 774785042 838495646 1000000000000000000 630943901 448359180 345410516 355804745 1000000000000000000 143630442 70843855 9461036 95575866 1000000000000000000 369874092 306807134 290744035 208872978 1000000000000000000 884831649 845464817 822299219 670219694 1000000000000000000 810961569 650516999 462674243 345817192 1000000000000000000 337226848 193831022 30751346 7244842 1000000000000000000 396361877 200226832 271513673 271528372 1000000000000000000 803964624 253564874 193491078 326865566 1000000000000000000 138280392 55121663 83235014 25038615 1000000000000000000 466801689 223894445 249436123 373126468 1000000000000000000 402729067 371916792 100225250 107682125 1000000000000000000 811835477 75656553 787854517 519903779 1000000000000000000 387088520 173771680 70011798 342409353 1000000000000000000 376323594 4056105 211692064 372799964 1000000000000000000 94489801 76270372 33412238 51346991 1000000000000000000 49902671 22173516 13583727 21428455 1000000000000000000 791638861 729234136 473166971 190878102 1000000000000000000 353114709 23917405 35683918 242077254 1000000000000000000 24596201 6952508 7602032 11183642 1000000000000000000 620441752 568045090 353461313 325239270 1000000000000000000 364848944 213898593 41898226 185874676 1000000000000000000 227568733 126645779 146442535 112890670 1000000000000000000 386914341 98702873 97838059 38127183 1000000000000000000 153322133 6453838 74358152 59963177 1000000000000000000 692103896 409234369 65182214 551267309 1000000000000000000 784636375 195273061 205346338 597731016 1000000000000000000 382952135 222359316 346014937 197890812 1000000000000000000 159327974 125452304 126626067 24753410 1000000000000000000 597690179 544636311 361021302 189983542 1000000000000000000 376966522 318411259 104339817 321636173 1000000000000000000 950662748 48153400 233978983 915415600 1000000000000000000 366568803 182686750 78327175 139996309 1000000000000000000 973841006 37885103 191397064 64433792 1000000000000000000 951536187 42548277 215357430 757194052 1000000000000000000 5132858 2001947 2259297 1088588 1000000000000000000 46876930 19480130 31091868 27688608 1000000000000000000 138820243 84234454 123721365 78249033 1000000000000000000 697130946 625266992 248714148 355256373 1000000000000000000 420186966 187944176 357055420 240434163 1000000000000000000 562283519 86170589 435858964 437597361 1000000000000000000 695260896 1175393 178394380 602330047 1000000000000000000 842415071 322219393 430245367 348950972 1000000000000000000 542270030 124695587 253117797 231147067 1000000000000000000 273753266 19091735 218105486 148866015 1000000000000000000 500049307 189988367 355009220 316737110 1000000000000000000 762260752 43172378 476367700 394011736 1000000000000000000 745095474 351565082 96578730 635254038 1000000000000000000 846462900 112592581 559893090 275811483 1000000000000000000 10871112 7351246 7008284 169087 1000000000000000000 634535662 60351994 235346008 41690416 1000000000000000000 128377598 61066348 86844133 37938395 1000000000000000000 329105726 186214278 327362738 47713553 1000000000000000000 308961995 91220066 158973805 217831343 1000000000000000000 493494198 238106697 358696300 253398554 1000000000000000000 216131758 186979065 6830171 169530487 1000000000000000000 174229597 14038675 154146959 73388351 1000000000000000000 135601804 27556102 50816802 66221183 1000000000000000000 538659789 249542623 113199159 154379528 1000000000000000000 425943796 235042693 377880762 6921202 1000000000000000000 76343893 73558805 53652333 4198590 1000000000000000000 734990310 523107041 612077109 504188610 1000000000000000000 701639266 189003939 685963639 189299002 1000000000000000000 589201585 40767885 357850915 53951246 1000000000000000000 813285690 399301149 449798505 523165410 1000000000000000000 767986054 416089319 179701597 743978273 1000000000000000000 247361496 117919855 90470874 12684175 1000000000000000000 245475830 197420307 52843079 219369146 1000000000000000000 959929286 959244652 812434879 126161932 1000000000000000000 979354482 315727414 230610235 724618300 1000000000000000000 582921081 32618295 467852350 349356674 1000000000000000000 813943168 799121005 293555392 182792232 1000000000000000000 816024993 747983569 403808824 413431069 1000000000000000000 760257334 704989555 522904903 99000127 1000000000000000000 884026877 250798356 584105897 840030433 1000000000000000000 998716265 648497428 60011727 408054004 1000000000000000000 368626360 165607331 242012236 73535190 1000000000000000000 43989181 30915707 40798328 16100844 1000000000000000000 430645585 147246195 316490746 89478056 1000000000000000000 8147109 523173 1142132 7078555 1000000000000000000 414072319 309553547 257242581 367555058 1000000000000000000 476019734 163309357 169986539 262626582 1000000000000000000 909118483 860945112 754916223 810558112 1000000000000000000 66859029 19725436 23096552 38491025 1000000000000000000 474164811 195783878 281037052 186976944 1000000000000000000 956778927 267164610 725838650 515526558 1000000000000000000 413276504 316373950 99939230 39048347 1000000000000000000 778702165 712088382 257486669 89086481 1000000000000000000 516410292 113953806 515439621 51816182 1000000000000000000 356183061 346219249 247416320 245037954 1000000000000000000 693618994 621794938 261996995 636735037 1000000000000000000 270650915 52137692 20147504 3638321 1000000000000000000 528980470 230592431 91627550 22008618 1000000000000000000 215255148 80972372 107875591 111699734 1000000000000000000 749999784 188228638 8181954 428173930 1000000000000000000 258345295 156731649 61581333 55591890 1000000000000000000 296425563 228514895 135311921 247594569 1000000000000000000 163975976 159864726 50946489 103866888 1000000000000000000 451310126 127993484 394292737 102269254 1000000000000000000 720132467 571740471 287555737 577585110 1000000000000000000 301500593 180629220 256906278 68205136 1000000000000000000 46340814 33214521 18330064 45626808 1000000000000000000 983702184 471207968 225718591 52745847 1000000000000000000 815540340 50091224 559353716 94138461 1000000000000000000 515152786 289214266 493588827 286984077 1000000000000000000 327373280 70797793 22760819 181347435 1000000000000000000 94545853 37923871 43323373 46996194 1000000000000000000 359378975 300893500 114284115 128757578 1000000000000000000 951181596 429049652 908691645 810475815 1000000000000000000 249177145 154343159 81157338 145311199 1000000000000000000 71699489 27121516 50141689 13020243 1000000000000000000 264408890 232815836 123871490 136633773 1000000000000000000 84008344 15053813 1340742 75599602 1000000000000000000 568159939 224820856 379733544 223199869 1000000000000000000 782480418 17653412 235701230 405649827 1000000000000000000 524782411 480923345 224981112 132388390 1000000000000000000 320136395 76022256 183675318 236693392 1000000000000000000 322885051 22421258 217149471 185557463 1000000000000000000 886470277 885031207 820336546 69106959 1000000000000000000 622494954 151922425 442875102 501901083 1000000000000000000 68754530 54531483 8561344 10320998 1000000000000000000 409044466 364071052 160861219 406983691 1000000000000000000 364335151 220553477 235772715 354882731 1000000000000000000 773823999 625837861 542766210 529015434 1000000000000000000 168649538 151071016 142566773 86564037 1000000000000000000 953161786 489838088 483180427 774054943 1000000000000000000 976907611 693908212 807133256 827662784 1000000000000000000 563529778 252481540 125896684 519119122 1000000000000000000 36152824 6990140 16102687 9449905 1000000000000000000 555641635 160298177 149765177 511313445 1000000000000000000 676297788 301813072 384088084 16095932 1000000000000000000 840783791 720415312 465125515 213450216 1000000000000000000 672688249 405260938 290976861 286840493 1000000000000000000 856010831 698283860 382073209 313948350 1000000000000000000 906068720 235669412 80490593 38948782 1000000000000000000 973560173 533787361 51001656 288862119 1000000000000000000 779845894 219229112 570918494 534174744 1000000000000000000 733062392 6929144 281386788 219272951 1000000000000000000 655312765 318728421 223029368 47766815 1000000000000000000 868890259 31898919 267842385 798048598 1000000000000000000 629155700 507107353 85937394 235920452 1000000000000000000 542420735 186554000 370072966 61898064 1000000000000000000 359527333 36486329 145599826 29729573 1000000000000000000 568399429 47771686 454434137 447810883 1000000000000000000 914092190 583790322 103769716 172144507 1000000000000000000 738420039 186837508 304496295 324463831 1000000000000000000 288245229 235256606 5681492 70829368 1000000000000000000 884504998 473274962 127865041 440541065 1000000000000000000 24861528 24446530 7812955 5786293 1000000000000000000 723469738 58942912 562916322 551519343 1000000000000000000 776284312 90656029 539158641 389814393 1000000000000000000 751411317 676245480 158458730 80089908 1000000000000000000 992828224 343493663 231994459 354546610 1000000000000000000 643846923 402294609 73136651 369376189 1000000000000000000 253275829 111080261 49453502 93070379 1000000000000000000 415025224 121126480 296104816 108324061 1000000000000000000 170315623 70179456 45489546 152400791 1000000000000000000 228859312 128041809 202086983 137005359 1000000000000000000 495876586 79806182 461153549 280416850 1000000000000000000 988127054 754798686 4753952 43813303 1000000000000000000 341355089 48122652 241921000 240524493 1000000000000000000 109458687 54503890 21618537 84367701 1000000000000000000 211918030 170524075 36396079 197864407 1000000000000000000 360496119 289865214 333054442 68594243 1000000000000000000 635125432 182817183 194136104 520972141 1000000000000000000 588379616 59549189 544665426 191259973 1000000000000000000 239680451 93590862 231143083 87609766 1000000000000000000 243028172 163314818 32483489 74062802 1000000000000000000 490433170 187065195 144245617 36292406 1000000000000000000 993995341 198456472 977950167 243753360 1000000000000000000 328626420 94608788 196423455 224442216 1000000000000000000 388005511 223767546 63148563 323987165 1000000000000000000 52313215 14441868 45175236 44261538 1000000000000000000 355522079 96270626 274264547 275052916 1000000000000000000 362182859 5959951 157514631 101864299 1000000000000000000 11310183 195166 6243492 993525 1000000000000000000 623917773 165162752 568298648 488573847 1000000000000000000 342556356 305477911 78929838 122376731 1000000000000000000 924993435 314405658 766682081 22084613 1000000000000000000 917655321 570189032 556329978 331789533 1000000000000000000 617633434 577384232 411831651 596003839 1000000000000000000 565456364 448959066 320525747 468825665 1000000000000000000 292893464 37289510 22232273 254136222 1000000000000000000 135468991 55558834 56072798 91959159 1000000000000000000 420478217 74176852 142768809 39036185 1000000000000000000 825762913 318623389 572008812 819423480 1000000000000000000 301013352 198974302 256157495 80213648 1000000000000000000 710941193 237721714 50717031 226532178 1000000000000000000 980428262 873120984 125141322 273936946 1000000000000000000 240953161 39083919 117081913 10749092 1000000000000000000 374042148 156599793 171587104 222799916 1000000000000000000 414361404 32795890 157306731 297577931 1000000000000000000 705415158 258671361 164193495 238528962 1000000000000000000 488906406 238278534 254756961 32353757 1000000000000000000 298493398 139325940 118670935 62641961 1000000000000000000 49230892 22202365 4716054 37707875 1000000000000000000 242093963 152158279 170582111 134930010 1000000000000000000 290688423 83021264 260729132 156211804 1000000000000000000 531948265 301131191 287526759 265772626 1000000000000000000 45937382 273145 15820079 45581833 1000000000000000000 931902282 662786050 692615207 223102040 1000000000000000000 902831781 68534451 770825377 1723285 1000000000000000000 392972553 158304070 139631542 131146828 1000000000000000000 254931820 90094918 6209784 170809143 1000000000000000000 742774034 83501265 594877489 345391743 1000000000000000000 754708092 427202685 521331770 401871552 1000000000000000000 582866287 137161466 536992092 507404401 1000000000000000000 39546242 22848112 27119904 7132100 1000000000000000000 954590101 368269836 354708562 689657873 1000000000000000000 396312919 251410454 259645092 357750316 1000000000000000000 558788340 511919488 57774082 331412205 1000000000000000000 659838352 188647811 317048052 388223314 1000000000000000000 376560041 16425795 318575943 27742515 1000000000000000000 438026906 315562640 184990564 285431674 1000000000000000000 315159457 5690651 64256823 211621329 1000000000000000000 103243534 102211658 6391217 25857413 1000000000000000000 9996640 1844365 2576560 4173087 1000000000000000000 133774484 1596583 116653191 106368152 1000000000000000000 445831856 346212258 60875165 335222184 1000000000000000000 553249864 530157555 411395077 185766732 1000000000000000000 158924292 100915525 75168363 15756851 1000000000000000000 844240699 815412193 564634794 66216554 1000000000000000000 632161343 383814306 453743157 42311712 1000000000000000000 151130216 31284452 94820738 26677155 1000000000000000000 198652298 61115091 81964421 194210591 1000000000000000000 401502672 226280899 42806955 286213148 1000000000000000000 532893481 253003802 98178442 340295422 1000000000000000000 78858585 13899752 24302519 52687207 1000000000000000000 216691503 141094972 201333412 120894906 1000000000000000000 494092787 59288751 315668964 410882880 1000000000000000000 905004301 655621231 333180698 192753499 1000000000000000000 837609507 700890621 394496143 361368097 1000000000000000000 227538611 128644544 158270366 128199201 1000000000000000000 342513773 134589695 319787131 19657786 1000000000000000000 334679786 146596982 257721274 184066273 1000000000000000000 972736558 746147742 672804583 856974358 1000000000000000000 952094456 672831656 565416339 416087754 1000000000000000000 82594092 15447557 29077038 7960110 1000000000000000000 369989721 215198287 112689713 102324569 1000000000000000000 431152837 30951936 430821559 216357926 1000000000000000000 488856086 457645579 62946751 214196429 1000000000000000000 989734224 16726597 391061831 125871817 1000000000000000000 345028168 310952215 45395567 23169120 1000000000000000000 711552180 146816509 415852456 638778522 1000000000000000000 82333660 21626901 3481470 48565274 1000000000000000000 431162739 365893175 340820799 359116888 1000000000000000000 184008175 179326253 10235762 63329945 1000000000000000000 558687772 225294403 113970655 355636012 1000000000000000000 274858452 29829721 53722069 56600251 1000000000000000000 60653917 28137345 30127495 42081796 1000000000000000000 98563788 16402170 6157443 47370519 1000000000000000000 280819023 33991067 82139918 257277454 1000000000000000000 205308010 101142360 49483235 165949636 1000000000000000000 835549135 793470944 620634341 288102143 1000000000000000000 305136556 131183170 56112105 272426592 1000000000000000000 689363693 345675492 613860171 88107019 1000000000000000000 763289540 56782706 661079183 415508054 1000000000000000000 485407874 46019102 160326154 141136589 1000000000000000000 66028224 6565408 5833401 26197502 1000000000000000000 933112098 105650100 51648033 484907667 1000000000000000000 929960066 157938763 409825949 415209993 1000000000000000000 596974420 524248196 520376651 382052289 1000000000000000000 626945077 517947723 1898856 620065821 1000000000000000000 52120543 34494900 36376376 1259188 1000000000000000000 490973588 352455367 274488513 399852617 1000000000000000000 755152911 77559522 23106818 608678031 1000000000000000000 41165576 35405537 6851564 30886545 1000000000000000000 268169107 136322797 178729190 63116770 1000000000000000000 919284229 542712909 133153908 859343201 1000000000000000000 528792261 427388018 169262782 79825644 1000000000000000000 249094686 105300806 244949945 119027939 1000000000000000000 47995032 19446560 18168319 42561958 1000000000000000000 512432942 123354451 385915385 290761889 1000000000000000000 666229769 181504279 542174968 271982054 1000000000000000000 277183061 245440898 197694802 114209478 1000000000000000000 232238636 141392408 64889288 35122486 1000000000000000000 855985905 419025301 669130930 283367874 1000000000000000000 448236052 162153200 433851730 182093383 1000000000000000000 932625861 215965845 842166445 716869935 1000000000000000000 252525613 102409761 30391772 208563725 1000000000000000000 254983906 25168268 82026578 30662246 1000000000000000000 868474096 846884931 248808986 742826428 1000000000000000000 138342546 119255660 98944103 82218645 1000000000000000000 855328122 640901022 196769821 832282968 1000000000000000000 474553958 215839458 190537054 65984711 1000000000000000000 455325524 437570292 276566359 8239041 1000000000000000000 809181289 387800078 313314030 563445362 1000000000000000000 24813004 3442256 16622485 20858398 1000000000000000000 977308110 957304994 458563664 575150940 1000000000000000000 500968856 412067682 16240640 85547102 1000000000000000000 249058897 247337655 86239442 130601096 1000000000000000000 847175028 262583115 21354555 245658262 1000000000000000000 45394991 40214782 25080620 29838260 1000000000000000000 366531216 311064540 144914038 97005618 1000000000000000000 618736215 318621093 155718186 361012686 1000000000000000000 235022992 117989018 126332898 147543865 1000000000000000000 973351021 485640943 616000301 945141922 1000000000000000000 636192960 272644419 429560136 629656783 1000000000000000000 156427250 85619341 108892534 119935966 1000000000000000000 700921581 287878897 545022646 81897280 1000000000000000000 948954409 751583543 743322518 353546106 1000000000000000000 526600306 120162355 485705458 353671203 1000000000000000000 319540781 113813015 177821180 105163940 1000000000000000000 60004534 2098140 45656322 56089125 1000000000000000000 803138121 154480370 142561845 222582940 1000000000000000000 490525166 77358372 392023640 241642491 1000000000000000000 776729674 154453397 145771263 164208243 1000000000000000000 614315121 293818803 180538136 443710689 1000000000000000000 49738978 24318499 31367571 10258554 1000000000000000000 520303278 150039515 71766217 482569675 1000000000000000000 188985138 142097968 4442949 96811613 1000000000000000000 257088537 137430704 187535213 183150406 1000000000000000000 15148541 5976216 4547639 359647 1000000000000000000 289393848 84943416 207557218 102746654 1000000000000000000 133669288 130728294 5697383 38864495 1000000000000000000 847891530 40978899 532808835 388736677 1000000000000000000 224253898 152234547 95300577 130163632 1000000000000000000 973324005 692577186 287277416 839103071 1000000000000000000 164588989 42049872 114438908 80982959 1000000000000000000 847048873 249468256 136721548 447433742 1000000000000000000 622510545 554779310 296874683 477073256 1000000000000000000 258520442 160560883 177657511 150968687 1000000000000000000 28384740 3377886 16963831 21485076 1000000000000000000 645436578 501222071 529406259 357044308 1000000000000000000 800535474 492261314 545001305 457091514 1000000000000000000 667383439 459846759 140882133 456180661 1000000000000000000 791012007 39508180 446368848 29409699 1000000000000000000 242541198 197591545 126016184 91238394 1000000000000000000 31258872 12823272 25518199 18448330 1000000000000000000 727655798 69138121 716938387 69233363 1000000000000000000 508731528 482643697 83377504 239442632 1000000000000000000 446809389 352722562 291174841 57756524 1000000000000000000 604563317 402238605 362390918 79561571 1000000000000000000 213393846 35013922 151870296 44881307 1000000000000000000 604047339 302320288 579383694 248593132 1000000000000000000 15900184 10385372 4802285 13951341 1000000000000000000 468644227 347287946 257431161 171414023 1000000000000000000 252104833 40787189 234405668 166296025 1000000000000000000 259512291 254872187 183210605 20687874 1000000000000000000 297356033 155025276 268188159 241908987 1000000000000000000 416678113 239229502 322537221 213075146 1000000000000000000 823729206 465903407 410957230 699874956 1000000000000000000 375040330 171862929 190289715 288834748 1000000000000000000 40216098 24907422 11785513 982298 1000000000000000000 783654774 398043615 543693838 438005472 1000000000000000000 608053157 520507482 209043690 178976825 1000000000000000000 572609130 24523862 382647984 415280778 1000000000000000000 493632890 305154341 83852780 213416121 1000000000000000000 784289278 130065546 67098753 232164824 1000000000000000000 523180705 281786105 114017094 161882720 1000000000000000000 165405500 107492281 139911711 94176370 1000000000000000000 133643551 122277633 118677070 84445948 1000000000000000000 237505049 189056123 5753389 81007949 1000000000000000000 825008134 188435568 299901571 71519212 1000000000000000000 587606565 97828170 38103555 383906220 1000000000000000000 843212911 134803621 439527768 795532287 1000000000000000000 20341340 11828140 11457030 7257376 1000000000000000000 14558088 10622671 12622488 7512625 1000000000000000000 117341249 12122824 26084199 38396337 1000000000000000000 788606317 416108334 343328301 352191180 1000000000000000000 588189001 53200812 392413367 286387292 1000000000000000000 252584985 103110430 123797775 33135493 1000000000000000000 622401265 108945953 430264279 181723751 1000000000000000000 430493442 246233758 374877622 205890595 1000000000000000000 792513761 432203354 532620346 22142203 1000000000000000000 482020764 371397737 170454174 475823564 1000000000000000000 657954156 482960241 282129642 384967741 1000000000000000000 422925806 345897564 207566702 118704439 1000000000000000000 909528768 6943330 209346957 417113477 1000000000000000000 736605803 588874404 257682636 27322072 1000000000000000000 135742817 88231865 127716782 80602815 1000000000000000000 658944039 578803750 3354541 89854661 1000000000000000000 73801349 56693313 66056761 49654780 1000000000000000000 740710726 546200553 85898191 121645134 1000000000000000000 526858273 445681179 394109998 159321821 1000000000000000000 547651131 509445445 388064039 88751550 1000000000000000000 495119519 19398825 39182501 124401867 1000000000000000000 12816841 4719940 8934813 12562471 1000000000000000000 669545191 356787600 51055017 638307310 1000000000000000000 674061003 251926007 666889409 249980039 1000000000000000000 68617977 32533007 64754260 15928813 1000000000000000000 543480006 134170674 534524229 269521737 1000000000000000000 582871767 244346501 89601922 326161544 1000000000000000000 887906382 97535216 564970302 345921271 1000000000000000000 660493108 445343097 48444558 451267960 1000000000000000000 395513268 121718169 3642754 20881651 1000000000000000000 922382598 572395300 424968439 464376589 1000000000000000000 761845244 385322084 27379240 126157180 1000000000000000000 707127624 569124044 326105486 212223720 1000000000000000000 918783184 84989367 672653911 849486087 1000000000000000000 76995517 47307532 34012987 48790565 1000000000000000000 819673495 525910368 371807756 190195030 1000000000000000000 616801052 525245038 432364437 414827866 1000000000000000000 270536801 260821959 128476994 28505313 1000000000000000000 819536799 375467132 507036240 817751765 1000000000000000000 433150885 379827790 384781329 142880486 1000000000000000000 678055816 512733930 123945421 255396714 1000000000000000000 658013053 237869811 239998517 400109423 1000000000000000000 604469726 354445970 13845473 389146461 1000000000000000000 299834572 297752656 243922040 137400937 1000000000000000000 801650045 627280580 178423601 773138858 1000000000000000000 925013055 92670469 856471979 841635373 1000000000000000000 870524517 368526068 272193781 512956037 1000000000000000000 69244442 37714392 14503837 50801479 1000000000000000000 796986814 660088977 619826006 513959298 1000000000000000000 798753085 672351453 711639920 118548253 1000000000000000000 275292176 91375856 108335470 186564018 1000000000000000000 181168283 172173352 171613907 170527378 1000000000000000000 30867120 23327332 18622418 13072453 1000000000000000000 986513817 408475663 742826023 683401267 1000000000000000000 677770013 471838863 429268477 488062184 1000000000000000000 127939904 56138996 47910934 42445823 1000000000000000000 225732639 214698212 119311499 177344204 1000000000000000000 369391160 15928927 52032271 205077443 1000000000000000000 979605250 445019448 613015744 52450424 1000000000000000000 991082841 759969710 267279015 548235070 1000000000000000000 52842986 52375085 40777748 17196591 1000000000000000000 347827372 288164319 136432354 236818014 1000000000000000000 716835645 304650006 568476982 44279079 1000000000000000000 196782305 49815760 1144509 24847787 1000000000000000000 257384032 93942688 47443723 245619700 1000000000000000000 439472136 91891819 146103746 5751656 1000000000000000000 516277578 309485786 380918247 338170850 1000000000000000000 393674381 115296077 365644922 137670462 1000000000000000000 283543415 8082326 207602971 116848482 1000000000000000000 792678342 320453294 449099351 594510071 1000000000000000000 625833984 127024871 566289252 479890297 1000000000000000000 201623812 105094965 99381908 141793829 1000000000000000000 40777852 36228915 21049691 26038631 1000000000000000000 148343136 106189970 2051438 50335485 1000000000000000000 44848643 3899360 3352675 38499928 1000000000000000000 352510833 171577996 94494283 99508552 1000000000000000000 150721509 55809042 60392792 68432373 1000000000000000000 360825293 292248598 8046549 42976505 1000000000000000000 218295586 205006840 26422485 29107119 1000000000000000000 812857320 571172481 88416410 370096571 1000000000000000000 491581878 354120714 437967000 484940297 1000000000000000000 694243383 36432911 586442276 206556796 1000000000000000000 123324809 82605356 55573726 45430970 1000000000000000000 759921746 485590621 497191294 163084752 1000000000000000000 334027453 250186147 327648663 232022848 1000000000000000000 35043307 3885026 8510040 5933071 1000000000000000000 969335426 385812397 282837928 67186703 1000000000000000000 715255283 169287557 371168636 63641345 1000000000000000000 849530752 131314195 301201371 414280111 1000000000000000000 567131183 541804643 99548743 152147195 1000000000000000000 34090099 21700328 28578881 2129421 1000000000000000000 940090099 760801824 521559692 405088570 1000000000000000000 959613456 456161936 223488366 122405306 1000000000000000000 713041302 219064596 27178555 362639919 1000000000000000000 388998071 386442576 308586935 229381087 1000000000000000000 593202168 332940081 351975412 545041589 1000000000000000000 834890088 195330832 815411299 790270980 1000000000000000000 323395323 63324621 180134979 236835517 1000000000000000000 8259796 5930026 2831357 5552029 1000000000000000000 330475474 108607690 263254761 138865099 1000000000000000000 196473542 173088047 76491274 165701275 1000000000000000000 334771880 26043010 326853375 65287387 1000000000000000000 63849482 29598755 14662904 52873674 1000000000000000000 200598955 58504788 175312058 88890371 1000000000000000000 177132558 95672020 150153396 132960762 1000000000000000000 701142938 109077339 356843484 450743535 1000000000000000000 9542604 8784451 1393210 5478065 1000000000000000000 503380981 390286114 50875793 49818423 1000000000000000000 689000408 658854953 426017096 467710363 1000000000000000000 312300024 148427096 263853328 156048636 1000000000000000000 927861838 712016223 121325585 354004870 1000000000000000000 618228397 435181116 287160921 506531013 1000000000000000000 836912099 12228715 310513147 44252787 1000000000000000000 739466217 689445935 557987848 314767854 1000000000000000000 344347156 234359899 238336369 39238004 1000000000000000000 185982365 42378661 33727908 8638675 1000000000000000000 450733537 366804251 219082185 424246237 1000000000000000000 548703227 232872128 44800754 121321196 1000000000000000000 70300779 26558996 4189465 21247360 1000000000000000000 370067510 336881459 362587375 102087302 1000000000000000000 196134086 34553200 74359148 184666342 1000000000000000000 419632760 201042801 16319343 168299616 1000000000000000000 571678016 58954050 454989537 217993123 1000000000000000000 929912252 286256584 606329876 197128412 1000000000000000000 930489279 223343185 369604767 477542354 1000000000000000000 331840953 145029940 230446476 237986788 1000000000000000000 123514679 58516276 102620143 5545174 1000000000000000000 460325021 152539258 265482382 268765615 1000000000000000000 661435072 29934836 398266991 364780120 1000000000000000000 492893355 35859515 423706988 409541091 1000000000000000000 709865165 378971188 539547542 432352495 1000000000000000000 700091370 529126729 216657511 349668435 1000000000000000000 764996350 502156532 266863887 357519435 1000000000000000000 930551608 31489717 551692636 700659491 1000000000000000000 153112767 7009610 19806632 72399627 1000000000000000000 758706651 82891127 204500584 148663791 1000000000000000000 661746011 565446471 463902249 172791535 1000000000000000000 833393403 301678812 621262540 537605288 1000000000000000000 712082109 405474001 318882723 547661387 1000000000000000000 477100692 464142364 369088267 169657482 1000000000000000000 695418591 391877833 585098862 412190487 1000000000000000000 219469209 164765005 167411384 9733395 1000000000000000000 802920451 359841554 390746462 695447510 1000000000000000000 700548657 402090847 447306754 259495358 1000000000000000000 93035285 36146415 22193325 42635849 1000000000000000000 548310249 503389209 91400508 515472333 1000000000000000000 415797307 249635778 84772315 106758939 1000000000000000000 134291572 74935560 80610469 92395069 1000000000000000000 488923922 30951918 446827866 336057482 1000000000000000000 743368478 301742657 677191835 191869700 1000000000000000000 80995081 75473254 32206217 79359046 1000000000000000000 492952910 108541900 381232740 47289511 1000000000000000000 756199180 343433290 59993482 21756329 1000000000000000000 308154126 286300878 172353761 171329132 1000000000000000000 625112001 27677246 255518260 466789685 1000000000000000000 439287550 367280976 348091335 62309586 1000000000000000000 566928178 282394652 145578913 473805801 1000000000000000000 173048052 15899007 81328196 81589691 1000000000000000000 424627062 81033397 102119120 197919509 1000000000000000000 818428805 84170412 374701780 263013103 1000000000000000000 960541647 633119474 886887168 62015875 1000000000000000000 750909767 334010496 193372241 589492093 1000000000000000000 975375414 477327660 579712046 58903135 1000000000000000000 195799924 58942120 35488063 20386682 1000000000000000000 761977966 751346296 152319950 330255716 1000000000000000000 745231745 519740438 86688846 265379345 1000000000000000000 585635954 299524171 159194303 123185973 1000000000000000000 356060769 312020175 43406017 128972133 1000000000000000000 687829956 113514855 122077575 129597914 1000000000000000000 885498851 247637741 706744088 298807731 1000000000000000000 855718500 704471895 385848728 408109861 1000000000000000000 845999890 709389324 421529464 147788441 1000000000000000000 290549803 269753176 262551298 8624916 1000000000000000000 776534481 106489711 546294990 171677256 1000000000000000000 604585982 321313843 305687285 575043035 1000000000000000000 478461787 385141905 301384395 136744058 1000000000000000000 317560926 68172090 316145061 57533243 1000000000000000000 217839425 150198736 29887796 93922808 1000000000000000000 372949486 286190522 343410232 162754220 1000000000000000000 204709728 176917817 15444779 30887784 1000000000000000000 479671098 332798901 251995915 47323888 1000000000000000000 953756224 713096662 536082182 468723692 1000000000000000000 390179092 237572077 208653870 266775372 1000000000000000000 996448741 491373423 293764038 86827361 1000000000000000000 719557103 401957013 583303103 136603389 1000000000000000000 250819314 39637872 71259599 117047521 1000000000000000000 595069421 32470188 364878115 175066281 1000000000000000000 271906011 183924518 19979974 87771598 1000000000000000000 475013861 303499812 355105402 189620577 1000000000000000000 835210160 482379588 29462956 147026310 1000000000000000000 194321465 64331637 87455839 9686514 1000000000000000000 866931673 72761367 178380935 24782925 1000000000000000000 488578732 485200153 287321732 91548587 1000000000000000000 587745072 273810106 405566782 396757550 1000000000000000000 953792976 778995380 154833922 700941662 1000000000000000000 194665981 162578231 141689521 36984930 1000000000000000000 581762779 445835276 369714544 216590637 1000000000000000000 268752477 184499066 146954303 73825030 1000000000000000000 159552697 1671176 125802129 32454812 1000000000000000000 655259573 456154133 243144435 245500925 1000000000000000000 588097932 273775156 205838976 304835670 1000000000000000000 345777151 12341208 207402281 13993479 1000000000000000000 127586593 70655013 93323928 87035637 1000000000000000000 82111768 39903924 14034002 24086281 1000000000000000000 104692141 91154673 78037802 98139505 1000000000000000000 476356770 87980532 443656584 82449449 1000000000000000000 830323556 232176768 729285750 460083101 1000000000000000000 74176186 986237 27153227 39877986 1000000000000000000 457174810 61236448 389255810 288800941 1000000000000000000 8050165 4732872 4273506 1984221 1000000000000000000 667697102 625159401 140798052 432299833 1000000000000000000 43063605 19789089 4488245 7678789 1000000000000000000 502476335 118073435 246437372 469198361 1000000000000000000 574604174 307341898 140223644 172414192 1000000000000000000 781014028 753939465 67716840 228255491 1000000000000000000 259608221 166626337 230288232 218468056 1000000000000000000 491247566 168071554 45609984 276279700 1000000000000000000 752271829 238221404 597392690 723782928 1000000000000000000 421536480 101353274 7019059 224704533 1000000000000000000 888326965 559190484 93767776 202037612 1000000000000000000 156307296 62444047 94588477 133618456 1000000000000000000 455076071 155522895 193348676 200283021 1000000000000000000 593657186 436327607 302483852 196381222 1000000000000000000 749948425 583717949 632164675 202640236 1000000000000000000 589335866 466056257 175285122 297239545 1000000000000000000 825565717 358397790 638534796 646681232 1000000000000000000 503265760 177223959 174423947 46839797 1000000000000000000 222181138 191102726 117572190 51219129 1000000000000000000 595664480 580608269 434626646 450663052 1000000000000000000 827566708 214391455 27008837 675645530 1000000000000000000 609445722 231631300 601455319 170658641 1000000000000000000 464435483 251998003 151577840 13121074 1000000000000000000 428947241 159898434 320291524 390425419 1000000000000000000 857887094 793393530 850045258 292652003 1000000000000000000 649967679 445281337 492260016 458290240 1000000000000000000 444620026 368254992 26812203 268954213 1000000000000000000 941703145 167738893 469911175 331495201 1000000000000000000 102916919 96933181 86046846 64604318 1000000000000000000 544276409 116529363 129045324 102274189 1000000000000000000 505008899 177160938 183669973 22063534 1000000000000000000 551081716 254868708 484000840 522328691 1000000000000000000 228475278 15243875 158060910 93817516 1000000000000000000 839180560 267008116 615187896 318031965 1000000000000000000 44477064 31601991 15572667 34873265 1000000000000000000 163286196 4234196 140927319 52638303 1000000000000000000 494309466 464416888 311535243 135349256 1000000000000000000 804176722 783157463 706242362 336649491 1000000000000000000 210395741 29287841 9396919 24766168 1000000000000000000 646073943 586410119 230914438 591095145 1000000000000000000 880120487 620409078 501174916 130727749 1000000000000000000 666203440 326692484 447230732 633472099 1000000000000000000 507700400 425545948 107773745 398849575 1000000000000000000 490110586 383259473 140886281 136519237 1000000000000000000 158858818 152848684 138348405 14692273 1000000000000000000 495731599 18892412 244551808 262040808 1000000000000000000 48751127 2738937 31222738 15655625 1000000000000000000 862105659 781014380 778791128 22430466 1000000000000000000 305812671 182669147 249087003 149959083 1000000000000000000 28842069 8175836 20279839 23503118 1000000000000000000 823788897 249733734 321344346 48007105 1000000000000000000 284688278 147473306 180941079 175362757 1000000000000000000 72853321 35597141 4658142 57510255 1000000000000000000 186084690 14696626 119353415 185445098 1000000000000000000 88498745 53659586 19722950 68829325 1000000000000000000 596146187 163658763 89132422 348203405 1000000000000000000 760435998 583164761 117984656 29799485 1000000000000000000 487828917 305072674 253589738 425843236 1000000000000000000 170559488 36608480 115850048 148721552 1000000000000000000 921918757 271369641 789582192 130403215 1000000000000000000 754889182 266883070 151674875 158565504 1000000000000000000 707481413 176858823 49016962 434248760 1000000000000000000 739661998 568444134 535482753 616798952 1000000000000000000 375514370 25627354 289837210 173792780 1000000000000000000 218857834 37165551 4373765 149177631 1000000000000000000 239848101 111169618 125838656 126926723 1000000000000000000 318122831 228291728 42578578 208358811 1000000000000000000 706410623 247367813 586370939 151708387 1000000000000000000 388193960 200026934 191734969 225989430 1000000000000000000 45006063 23355067 12391091 36813212 1000000000000000000 538258953 196536379 90749409 372493210 1000000000000000000 384113653 212314824 77534635 357257360 1000000000000000000 639756581 79935939 628440176 74352806 1000000000000000000 314971305 219270607 62419560 18556307 1000000000000000000 687504823 508688189 31703576 333615414 1000000000000000000 444449049 26381385 252902840 208365289 1000000000000000000 841168860 279271800 697408230 718295518 1000000000000000000 405830289 287155900 233730756 203454883 1000000000000000000 404406590 170131278 237958478 248423098 1000000000000000000 812142137 767170387 779562921 662666150 1000000000000000000 791727438 662637045 729558039 379657186 1000000000000000000 85781947 15472414 62858467 16302186 1000000000000000000 205146258 125474428 186200958 53571769 1000000000000000000 202580653 91496673 48641120 38903080 1000000000000000000 136812872 42810028 73286044 82164654 1000000000000000000 209410552 168902232 77833317 35253932 1000000000000000000 351008912 180795784 335718287 344840328 1000000000000000000 246097079 232964406 83438476 180511022 1000000000000000000 180206328 179731751 104323806 100944946 1000000000000000000 863940759 199913233 504466523 667117668 1000000000000000000 405162966 99691571 199396535 109907474 1000000000000000000 827447613 555246294 718399505 64307821 1000000000000000000 974116072 880028384 744272819 827619653 1000000000000000000 216521344 43280681 78270605 99014449 1000000000000000000 684845826 319530210 371909154 228632909 1000000000000000000 951272834 479470411 928374921 191612608 1000000000000000000 934838399 411219408 565609565 159098745 1000000000000000000 166476001 134254292 26513627 38342224 1000000000000000000 976240417 729968070 528066148 8917538 1000000000000000000 607637553 446205942 137360557 24411942 1000000000000000000 577287296 186846719 571816508 87477292 1000000000000000000 543765136 224452845 401972215 492266950 1000000000000000000 264737240 44050920 171706180 244714753 1000000000000000000 923159432 263664169 674532554 364471331 1000000000000000000 595289351 247771191 28863927 158552266 1000000000000000000 619954095 157566451 217861597 247639630 1000000000000000000 845530745 493141193 405093115 34226374 1000000000000000000 93695331 59159085 16075440 60908402 1000000000000000000 91113598 29902441 4170970 64800677 1000000000000000000 968966432 836104620 209576185 107978242 1000000000000000000 47187238 5379081 30667776 37429698 1000000000000000000 375824232 149460097 368131397 116278211 1000000000000000000 475891442 219973737 350966216 181902326 1000000000000000000 721671470 111006893 599093442 541499505 1000000000000000000 38877768 13394855 25354324 34994242 1000000000000000000 170777324 155866069 51559106 20084655 1000000000000000000 910010784 598805046 39637249 13123782 1000000000000000000 755944133 729641923 18045951 725580211 1000000000000000000 203435576 20280125 112681669 84514583 1000000000000000000 776425373 576930904 399467566 303688037 1000000000000000000 284223371 183885958 192375690 266628357 1000000000000000000 713563323 82663597 706586667 387027307 1000000000000000000 679877774 506994037 242711683 402409668 1000000000000000000 516483810 263210698 288653271 15022382 1000000000000000000 400314063 344219443 339270399 115994182 1000000000000000000 376659363 47705457 51722806 335083861 1000000000000000000 257477475 173271331 104322103 136256576 1000000000000000000 958037265 1189301 197620617 662499933 1000000000000000000 284119945 119686405 193836945 177377947 1000000000000000000 360280586 24808471 204499080 210117012 1000000000000000000 628298747 344049478 448027849 503794906 1000000000000000000 902970447 569173069 159805341 226302645 1000000000000000000 73771863 64249370 27130075 71188967 1000000000000000000 199757247 32995944 151389798 7262765 1000000000000000000 840935696 164029063 186598692 629885218 1000000000000000000 848261007 79224188 212727317 373463832 1000000000000000000 584775422 244652786 225860539 42832439 1000000000000000000 474296022 58085591 231954737 443693631 1000000000000000000 147962598 23720056 48087489 15735268 1000000000000000000 245454252 9549085 14196085 5293345 1000000000000000000 897330069 152640758 98757328 288533038 1000000000000000000 34651902 20050299 29577042 20624557 1000000000000000000 861342203 120721224 783047345 63787620 1000000000000000000 274444815 213683019 243901684 256241083 1000000000000000000 316390936 11326809 213288009 305546889 1000000000000000000 134308460 74864609 31567314 82859462 1000000000000000000 325903926 247776866 91890271 275692236 1000000000000000000 341472338 97226620 221977925 326557532 1000000000000000000 41377350 18960907 27596441 29336856 1000000000000000000 381442950 77409970 131394241 44790365 1000000000000000000 328469717 284233047 101372112 125394582 1000000000000000000 769703295 34466733 349413497 25292400 1000000000000000000 934460942 342131223 741623065 611798595 1000000000000000000 264184253 53347887 127700838 231019350 1000000000000000000 297379642 202842075 62507580 18604292 1000000000000000000 67927874 61150056 59840449 2954055 1000000000000000000 923121936 437350610 321925724 398183883 1000000000000000000 995065636 98440135 345419067 84487130 1000000000000000000 271284699 204682667 96215381 183319157 1000000000000000000 283104911 279204216 191515296 116498839 1000000000000000000 512959755 140866782 170823316 20101237 1000000000000000000 14345600 3785538 14130718 983353 1000000000000000000 320472425 261293330 225329131 308245871 1000000000000000000 449825362 1539409 124881112 165596070 1000000000000000000 479261451 46531789 186400252 224396928 1000000000000000000 818472907 814454115 466087802 364249188 1000000000000000000 442492432 187131907 64239553 306713503 1000000000000000000 660462076 89132772 43670329 632666940 1000000000000000000 631874214 46098999 489588563 403336896 1000000000000000000 291124004 786994 78540506 130565243 1000000000000000000 777592525 733527811 377884207 308742015 1000000000000000000 464136301 276520204 68650456 386613534 1000000000000000000 643737587 241221248 235264092 410595575 1000000000000000000 103912904 66383849 25470884 16816583 1000000000000000000 458997822 27029226 304975417 265600765 1000000000000000000 15912704 7058790 11303266 6413830 1000000000000000000 819997555 719716454 601270171 552434424 1000000000000000000 170112473 62156928 24497028 133054054 1000000000000000000 455964927 276515970 24099510 101334415 1000000000000000000 267271193 2121472 63212689 136075556 1000000000000000000 932258342 451717935 126326794 520072210 1000000000000000000 513342487 101577166 375321303 266246493 1000000000000000000 337517023 194482951 228997482 117322866 1000000000000000000 381643764 56356687 302076800 179945903 1000000000000000000 896166102 754020936 205296183 769855833 1000000000000000000 63339571 6947178 45276959 53179527 1000000000000000000 987756406 900602497 67875379 89523059 1000000000000000000 945109842 760866601 391025587 413618033 1000000000000000000 861969980 316953674 375342619 323584024 1000000000000000000 504410167 340973749 144321487 62449988 1000000000000000000 435103903 234480747 329742444 1695535 1000000000000000000 99537957 8443423 14855165 14851827 1000000000000000000 313840151 260512764 244882276 76725561 1000000000000000000 608197110 277082939 267078656 201537442 1000000000000000000 613789583 133642699 3212437 359588885 1000000000000000000 425440937 162737148 412414443 210460794 1000000000000000000 533538251 355890930 438882972 402806664 1000000000000000000 378736280 284857296 96384641 311081109 1000000000000000000 614087531 220221306 262523058 381887675 1000000000000000000 214686570 131336125 117040941 26057451 1000000000000000000 407307688 47733786 38356001 316499532 1000000000000000000 870825455 199949935 770474469 591003577 1000000000000000000 532884373 136082181 346964267 106857027 1000000000000000000 535597395 202976636 74522579 50639204 1000000000000000000 178556203 118642016 86918600 49716985 1000000000000000000 720029258 552949736 16157671 608924038 1000000000000000000 885190332 666853630 163735189 363507983 1000000000000000000 248541690 98011080 35063517 167655508 1000000000000000000 157266418 899966 56781363 129670644 1000000000000000000 337501561 241620781 143266951 304107441 1000000000000000000 815179374 404965044 662657633 450210506 1000000000000000000 85307408 868089 83993067 12747462 1000000000000000000 881035995 658249490 722644925 669773018 1000000000000000000 689447132 168362524 223439418 674262882 1000000000000000000 813597510 86291848 769194186 161467018 1000000000000000000 243626402 26484136 186170652 98294636 1000000000000000000 195895546 9700145 43397371 183191236 1000000000000000000 323907979 191270800 274591911 96493744 1000000000000000000 35504876 14545905 24566102 16484521 1000000000000000000 927838155 569107044 170766630 820815678 1000000000000000000 44227844 43322837 33087761 4812517 1000000000000000000 724171864 28634452 235244506 459231908 1000000000000000000 842795408 313422228 446192587 512115473 1000000000000000000 727491943 333740367 634015262 136715888 1000000000000000000 717797765 661860534 328574891 240001343 1000000000000000000 1030130 531481 92433 855787 1000000000000000000 644655628 434041437 33420389 569590570 1000000000000000000 875615394 610855204 745800050 452117763 1000000000000000000 843159037 457975638 266512179 201408766 1000000000000000000 410067691 214082683 301480591 101954131 1000000000000000000 214868692 26384774 132522314 183030382 1000000000000000000 396950497 71275329 110977989 349128553 1000000000000000000 906072188 595316852 583207047 322710233 1000000000000000000 750589948 326878706 309443259 680830003 1000000000000000000 693549464 648430772 228172776 40836409 1000000000000000000 273892926 62352434 5025294 104549351 1000000000000000000 528468799 492064933 468660168 150029735 1000000000000000000 101368617 31645082 39619218 41278455 1000000000000000000 110326490 86474209 102135773 89538725 1000000000000000000 323164286 86383642 38620747 73894638 1000000000000000000 246633353 15127598 1155115 175968387 1000000000000000000 535498456 364129855 207799263 246011727 1000000000000000000 744846668 715659451 532908789 495989248 1000000000000000000 987831656 924823364 161761178 459841177 1000000000000000000 630163979 522893048 2235133 456094866 1000000000000000000 867976237 628677371 24195438 353285388 1000000000000000000 973478601 234547963 217037039 163227351 1000000000000000000 425747298 219314403 421709625 192048203 1000000000000000000 726528964 708999203 419084413 363284806 1000000000000000000 205701407 38371598 147559420 140391213 1000000000000000000 779418810 599034731 342929678 333494665 1000000000000000000 186300138 44366197 182356301 107405879 1000000000000000000 703483192 428372 654626632 217731270 1000000000000000000 624492967 527111550 248424261 211339225 1000000000000000000 580802169 427881423 6367078 517379379 1000000000000000000 833411087 808750799 442525242 443733177 1000000000000000000 334816483 67914412 156164218 46700371 1000000000000000000 98089054 30473446 68489065 13604030 1000000000000000000 318099185 113138406 188734140 150435417 1000000000000000000 179346295 114793064 175531820 60701834 1000000000000000000 14177388 6768604 4286698 7379878 1000000000000000000 90157621 43853302 26305439 29202161 1000000000000000000 256206144 15361438 177066975 29568191 1000000000000000000 525297949 366869115 405074468 395649252 1000000000000000000 824800963 784447207 101257093 258464810 1000000000000000000 343080802 105226391 244641890 299504287 1000000000000000000 961724867 802409468 97655175 295840538 1000000000000000000 286834198 171548528 52152142 112372420 1000000000000000000 649098757 269965964 205426337 482599937 1000000000000000000 33715735 19804677 6145647 13338713 1000000000000000000 598246689 320271668 131371588 353576516 1000000000000000000 164656867 57391269 48570740 6413596 1000000000000000000 904761235 633901117 33196106 107041036 1000000000000000000 366321991 160126001 108070272 332305989 1000000000000000000 523822897 80675567 405253487 203026883 1000000000000000000 452407968 113271571 423383485 49714159 1000000000000000000 754361316 604853150 201629865 424502402 1000000000000000000 937648849 645466852 879037083 690172802 1000000000000000000 710574750 305873801 36739207 30601227 1000000000000000000 161177830 51772748 46123336 13095632 1000000000000000000 89271332 81739040 46870429 20474781 1000000000000000000 811217645 514574959 210313431 323086118 1000000000000000000 485816095 113055939 386443535 264117335 1000000000000000000 810472869 250836979 399120570 220666015 1000000000000000000 756884888 523678255 553264918 667073919 1000000000000000000 525374380 251848050 489558368 171371533 1000000000000000000 64314682 31898745 4785867 2159454 1000000000000000000 525800260 389110114 229163243 185351553 1000000000000000000 805090449 494014660 176531592 143238878 1000000000000000000 672500478 158377164 46544502 196365929 1000000000000000000 565789159 468065701 535499438 377436201 1000000000000000000 330421086 260175389 269515218 771248 1000000000000000000 421947487 30478839 101145001 213455204 1000000000000000000 672556215 353365067 424893946 124312385 1000000000000000000 829494166 817510897 73803422 663125678 1000000000000000000 460651843 454847838 149415309 452514294 1000000000000000000 913007838 397051370 460204531 200182557 1000000000000000000 641467787 453680067 198027491 555601645 1000000000000000000 598942984 529527524 548304947 5430589 1000000000000000000 956662299 455853095 22699010 756962404 1000000000000000000 53596818 8874384 48454481 36222299 1000000000000000000 157812404 43933521 121591724 52566977 1000000000000000000 33129146 31962422 27234072 18748373 1000000000000000000 580283730 311967104 428683856 112444940 1000000000000000000 225604513 79816612 31932943 160396416 1000000000000000000 293384819 28053423 122067524 53847938 1000000000000000000 34901271 14980472 12681262 32107467 1000000000000000000 324308943 137805039 181625306 261601001 1000000000000000000 313616074 222819360 57889926 90537520 1000000000000000000 248796592 94038429 140612826 70523875 1000000000000000000 745293767 290256438 567013009 362230349 1000000000000000000 868036145 811472552 367753957 67750089 1000000000000000000 677750130 164580201 503053491 597650781 1000000000000000000 285659686 271124096 273178810 165540886 1000000000000000000 240868010 212329505 43264466 111244446 1000000000000000000 26942628 10346208 10607346 7477438 1000000000000000000 887538210 834770949 455990647 596008726 1000000000000000000 368069476 183304381 109988721 113046559 1000000000000000000 93547359 62006857 36338752 43359929 1000000000000000000 392175225 195498177 25071924 22246762 1000000000000000000 716628849 486084072 264087000 358416998 1000000000000000000 567013874 32583101 331538544 523834726 1000000000000000000 51067435 45254387 37641432 34456839 1000000000000000000 167613302 159522484 30284478 115436852 1000000000000000000 460646450 355370635 277425881 110786809 1000000000000000000 980835914 100064672 82511481 391065907 1000000000000000000 883382268 7495893 221592113 826967565 1000000000000000000 99274531 48935482 7640184 38494232 1000000000000000000 916810839 748705969 234001826 775133405 1000000000000000000 887509575 283839016 547491028 508996906 1000000000000000000 289161961 153170631 91524087 255631385 1000000000000000000 398850494 187602449 167483194 388223053 1000000000000000000 377300178 26850924 228338192 141479198 1000000000000000000 488571570 34058320 309135065 10384460 1000000000000000000 610209829 540403477 340126097 473066790 1000000000000000000 181549235 57616904 126503961 32469959 1000000000000000000 437490254 41955588 352072253 143327228 1000000000000000000 12706555 5894828 5257950 8376804 1000000000000000000 430349232 271432024 242498722 428138383 1000000000000000000 950939982 878651410 802666412 570380498 1000000000000000000 338853269 281783572 249229758 143779155 1000000000000000000 437741824 336048383 120620174 182644400 1000000000000000000 732707548 154420928 344857849 652990829 1000000000000000000 652679186 598184154 561454197 538822448 1000000000000000000 986359404 844522630 44190789 482359858 1000000000000000000 126981779 10391544 74401594 98766785 1000000000000000000 154041922 62123027 86966163 37081304 1000000000000000000 982085441 826070976 204396630 136924325 1000000000000000000 631782099 536491354 480442980 122333946 1000000000000000000 678133853 24335758 543337779 647320772 1000000000000000000 695740808 292836374 399286554 221735938 1000000000000000000 878127172 513959106 849255644 5147521 1000000000000000000 609503276 350518823 425381222 170948424 1000000000000000000 455310665 5096704 3076602 233640580 1000000000000000000 832783960 659236197 319287550 156983584 1000000000000000000 181436609 66398523 146427193 2767246 1000000000000000000 998784695 389236196 945498411 547040413 1000000000000000000 172445883 23977454 92704934 30666058 1000000000000000000 132250582 64572118 101663147 89490862 1000000000000000000 138324245 24960832 109114698 10215775 1000000000000000000 533487225 458099667 375075715 43097535 1000000000000000000 137914850 84831940 73980500 83471132 1000000000000000000 41291714 20598384 9387985 638138 1000000000000000000 227660657 105288577 124861100 86068984 1000000000000000000 383681864 107917411 334912618 156042457 1000000000000000000 65535670 47335777 1254678 20269415 1000000000000000000 764388658 387475265 500576908 239027114 1000000000000000000 564067009 6386241 332230792 155960730 1000000000000000000 612398210 323001401 328601860 264740592 1000000000000000000 901631435 95575602 530949619 341289029 1000000000000000000 75632076 2986803 40853858 64554151 1000000000000000000 715497515 407130051 322566393 172575399 1000000000000000000 88249905 53250854 15930981 67866331 1000000000000000000 873813283 572635917 750919702 678828389 1000000000000000000 432224533 311179230 40828815 348075556 1000000000000000000 866934398 195473032 587838305 808638412 1000000000000000000 356490071 273331650 18273762 154367987 1000000000000000000 858219256 408859621 763432478 71289194 1000000000000000000 432001782 237245725 21568825 78053510 1000000000000000000 663919238 394985309 254416496 4881681 1000000000000000000 352435647 137953268 292842347 100788288 1000000000000000000 524227723 86779266 328793785 147745707 1000000000000000000 873094155 429673013 243071805 825097961 1000000000000000000 27603655 17548489 532499 17505255 1000000000000000000 975847728 425894849 418839043 784609888 1000000000000000000 15924051 218556 2924471 10014080 1000000000000000000 74576822 33692722 32809696 41138441 1000000000000000000 2358060 22555 1836260 1167995 1000000000000000000 199336749 46467030 127211998 194331468 1000000000000000000 306775126 226392220 82082178 268957796 1000000000000000000 268781943 178184355 150746601 109350393 1000000000000000000 919559382 447033902 194353349 913647176 1000000000000000000 968705202 18664706 252349541 536355547 1000000000000000000 500487879 288335818 37024382 316343635 1000000000000000000 304292024 157704810 211558817 123503632 1000000000000000000 241849847 93905744 142420778 216483338 1000000000000000000 231497177 40865971 120833264 126658753 1000000000000000000 874728780 480942516 538943857 214476879 1000000000000000000 224803861 49226759 182408422 119257231 1000000000000000000 910871296 255663219 516216537 17083801 1000000000000000000 154174069 147442598 147193919 57867246 1000000000000000000 27323044 26083852 18038459 5379338 1000000000000000000 742658907 579455216 597294996 732412410 1000000000000000000 973899907 863786588 855536286 10632114 1000000000000000000 656495703 453815853 42822257 46161390 1000000000000000000 995511000 56262719 596319970 431227375 1000000000000000000 375672160 359596147 333942678 269260740 1000000000000000000 609689747 572099913 255806302 520289529 1000000000000000000 898382059 34660889 593162019 764767461 1000000000000000000 179536877 157538251 71458802 130240833 1000000000000000000 497953581 165491658 151311115 332193482 1000000000000000000 708857889 120500732 467795941 417710518 1000000000000000000 306749214 111391930 295671208 247218795 1000000000000000000 305543833 185678290 6110368 117391946 1000000000000000000 661586766 48051643 78631492 463415567 1000000000000000000 756004398 191638526 236414690 480108101 1000000000000000000 785022109 99641035 333945983 89125167 1000000000000000000 348253782 341019939 335676247 99517129 1000000000000000000 437313515 11279283 5864378 264064034 1000000000000000000 658815148 623741436 288740577 370862283 1000000000000000000 935756011 31474838 538585452 750390196 1000000000000000000 265302622 48802114 24928104 211352108 1000000000000000000 395898773 4346646 175636154 96454892 1000000000000000000 681406192 600477853 56836040 188648427 1000000000000000000 264194110 63905615 124201615 181737521 1000000000000000000 372819445 194244055 345058203 174524457 1000000000000000000 990746028 839904668 148273160 118856268 1000000000000000000 780161344 231536712 703124293 586725965 1000000000000000000 773998355 110181150 504022513 259747247 1000000000000000000 419265091 321099597 325457324 159897736 1000000000000000000 964504976 387616978 538358753 265731866 1000000000000000000 955466717 393234959 718249885 854615203 1000000000000000000 624609629 408921185 8693410 320716645 1000000000000000000 270991797 29602326 192136242 160553407 1000000000000000000 924076070 132500239 789381245 198804885 1000000000000000000 311102506 188582834 310780229 166267143 1000000000000000000 794923907 624147922 52006175 382560576 1000000000000000000 919767024 314529965 327454498 174338177 1000000000000000000 337886004 232983008 335236989 78286779 1000000000000000000 461449278 436349966 377179935 289894842 1000000000000000000 707943766 345451396 138298063 669751093 1000000000000000000 931278576 787885921 468547223 463487454 1000000000000000000 618530202 303539541 243539735 559898727 1000000000000000000 710055263 447123144 177606472 173654367 1000000000000000000 25468963 14424879 146414 9365030 1000000000000000000 61853529 54717314 44417502 22916522 1000000000000000000 126730888 98760490 99407378 50066467 1000000000000000000 678806840 391689708 410050131 17470222 1000000000000000000 802153020 17321056 666954472 23141499 1000000000000000000 285157582 206043239 27672193 246527931 1000000000000000000 663076180 114396372 312201076 386057593 1000000000000000000 946083600 529266961 732824926 200747419 1000000000000000000 315436251 54307134 74887904 7513490 1000000000000000000 638201240 227785095 600090330 376817673 1000000000000000000 414956997 389713354 177980355 66287049 1000000000000000000 601858388 202939200 126033951 338651450 1000000000000000000 495237733 198146386 76008500 219051873 1000000000000000000 64924322 4711695 11779250 19489132 1000000000000000000 453286734 323711788 195122795 423150695 1000000000000000000 168340296 88793186 76255987 159508198 1000000000000000000 342115134 64374427 113347212 110623368 1000000000000000000 927673615 113003800 409207089 564958959 1000000000000000000 426401692 95574475 60416911 156294328 1000000000000000000 296121693 271627767 130786048 266114706 1000000000000000000 778691036 576788923 491043386 717176616 1000000000000000000 498634761 53933752 11023048 111847535 1000000000000000000 108908315 34627978 54351637 22650985 1000000000000000000 994062658 151953820 47069212 420049719 1000000000000000000 386347776 352669527 200189062 50222806 1000000000000000000 242750095 71370824 147926917 58164475 1000000000000000000 534203093 27485331 237295055 335109670 1000000000000000000 984221117 100254659 24479479 799629878 1000000000000000000 198669595 117519855 84806696 48316701 1000000000000000000 859523913 564234540 738399633 124137878 1000000000000000000 476101898 215538825 72236900 56491621 1000000000000000000 65356882 56566582 32669636 37405341 1000000000000000000 920395568 441279487 277011433 717402337 1000000000000000000 319756395 75088383 165700009 98338015 1000000000000000000 211523298 31087446 96209095 129433355 1000000000000000000 245990347 236738881 11200831 89407793 1000000000000000000 347740819 39681793 338898989 340107491 1000000000000000000 508049238 181458148 254504908 304157754 1000000000000000000 129847961 124694344 19670471 48756862 1000000000000000000 799392528 90170153 595240651 380713364 1000000000000000000 451217417 100157046 448195014 210617487 1000000000000000000 915881678 157711447 815876140 285204195 1000000000000000000 329208072 209970466 130143980 281529303 1000000000000000000 853051514 631799035 342425579 685321223 1000000000000000000 204313200 18145047 98007943 146498148 1000000000000000000 701767297 35967455 83273186 231915985 1000000000000000000 430022647 283362629 283490664 411499709 1000000000000000000 506561631 454165875 188094940 381764974 1000000000000000000 136896020 94703940 9318000 11506945 1000000000000000000 657360228 132041818 383576227 180810225 1000000000000000000 683806912 220525455 168508657 388562939 1000000000000000000 827805325 512647776 257202662 485315283 1000000000000000000 902465698 881270240 167273061 565617581 1000000000000000000 234000128 200322906 44502235 51865488 1000000000000000000 253147940 244606875 203482051 178643414 1000000000000000000 731346776 420913657 534776017 557495043 1000000000000000000 167717403 141589381 110296464 129928632 1000000000000000000 823046191 120457975 109972854 249101536 1000000000000000000 49853438 43244423 18041498 9649035 1000000000000000000 516596773 312121863 397899710 134605231 1000000000000000000 750396282 479069199 728335741 27404980 1000000000000000000 711860030 640943764 661315366 133155305 1000000000000000000 807335882 52013409 572883672 315070908 1000000000000000000 797430717 202138640 308743701 124818132 1000000000000000000 358284713 262977424 309554326 296999014 1000000000000000000 402726326 242204572 389971468 306943811 1000000000000000000 617099846 75922721 314264341 378102185 1000000000000000000 230249476 11121801 136377287 99921570 1000000000000000000 538052563 399940047 341119305 289828152 1000000000000000000 570472100 163623201 134742446 521204289 1000000000000000000 669941796 243591826 599654149 481335010 1000000000000000000 907432523 588336021 879566134 842734527 1000000000000000000 689879822 549218338 31346146 100815405 1000000000000000000 195727177 122151937 99795392 164816147 1000000000000000000 313452113 150094812 47053117 47902402 1000000000000000000 449214604 99049670 446213750 151711572 1000000000000000000 553139319 10008975 273440467 78546477 1000000000000000000 795573652 70734624 144533085 280008430 1000000000000000000 743621105 583616482 57987029 36673892 1000000000000000000 845051901 269650011 454487173 111130084 1000000000000000000 874017257 53274514 739388284 212186939 1000000000000000000 144129987 31800255 101580451 63121134 1000000000000000000 893401782 14086350 109419226 331333057 1000000000000000000 835414022 515282199 689747586 591263716 1000000000000000000 535699109 18088967 365631818 408703423 1000000000000000000 63770594 58769974 57172213 5165247 1000000000000000000 189820188 120869830 77369952 56447223 1000000000000000000 954720880 807449832 597380036 29029074 1000000000000000000 888117440 351440560 403309893 253009050 1000000000000000000 221246810 212572225 58330539 187172208 1000000000000000000 488716355 429575685 410887117 292796787 1000000000000000000 300523979 91630456 91792657 149444881 1000000000000000000 646233811 570127051 477560872 291860601 1000000000000000000 846642388 421875703 106456467 263769319 1000000000000000000 354571343 1709599 22797861 102556908 1000000000000000000 204225534 83219290 131309875 62042649 1000000000000000000 291979296 178584290 285816962 172850207 1000000000000000000 140391587 75069484 81746253 97874996 1000000000000000000 78376625 49335602 52322144 24606880 1000000000000000000 26208633 2278294 16691607 8286994 1000000000000000000 146450416 2455690 73287535 44311277 1000000000000000000 13197178 11256247 2504203 12311064 1000000000000000000 456604334 309690067 340141825 137963323 1000000000000000000 936602478 413330261 628483823 274873398 1000000000000000000 793715358 535066058 644441251 593887017 1000000000000000000 559456032 255557863 281772048 331043764 1000000000000000000 91400412 81103225 59747946 81730946 1000000000000000000 730636061 148029427 271944073 13122563 1000000000000000000 31956652 16837192 4205863 10525053 1000000000000000000 517222971 49815190 320866772 423658563 1000000000000000000 703946294 77005032 554220373 260517030 1000000000000000000 810974125 77916590 378937041 443423424 1000000000000000000 885504179 545558349 694340881 474305333 1000000000000000000 477828305 3259894 205052503 106875387 1000000000000000000 215385821 139609592 57151208 130707867 1000000000000000000 785446770 95774057 31806730 2229634 1000000000000000000 98759689 15061365 19666444 16382920 1000000000000000000 449199425 389751741 139620814 427690304 1000000000000000000 826476567 700450354 210559852 694813766 1000000000000000000 910675209 839291493 41427821 791271866 1000000000000000000 72621520 38915514 33738562 55067114 1000000000000000000 158639342 110897429 152525567 54996889 1000000000000000000 324564145 177206792 123665063 282622721 1000000000000000000 469631949 229691373 17197725 110183732 1000000000000000000 864240691 80251549 623855019 229985059 1000000000000000000 250618883 116177103 121179681 11613739 1000000000000000000 306885706 80472217 9880098 79948430 1000000000000000000 208512546 98419753 171796071 206313953 1000000000000000000 947818013 525903426 716530727 487334262 1000000000000000000 24830518 22402548 15381338 21828378 1000000000000000000 654769903 431742218 137744603 235616883 1000000000000000000 429355268 349730021 183161580 49853166 1000000000000000000 718489744 708732679 605549412 689118745 1000000000000000000 483568602 182297792 147498863 53198801 1000000000000000000 961116303 442698894 127748543 546275476 1000000000000000000 445434358 19214049 138980661 150924597 1000000000000000000 487562478 343941431 1770564 457940087 1000000000000000000 652859464 29170343 214600962 174634592 1000000000000000000 636460772 582269461 613733471 455063911 1000000000000000000 645254218 618318192 288710559 560097287 1000000000000000000 520051243 5846661 503162663 514860578 1000000000000000000 401281840 76126953 319913762 26576710 1000000000000000000 664223620 454459590 568854124 438801442 1000000000000000000 432805948 15809097 386419847 260959812 1000000000000000000 156681445 104991843 127285309 69211269 1000000000000000000 399814933 214621976 282347870 28216472 1000000000000000000 418490284 335038621 311257550 205198913 1000000000000000000 985592869 446173438 789840408 779748158 1000000000000000000 445603141 29474465 291751158 434337137 1000000000000000000 107720345 51938113 6371655 101684429 1000000000000000000 225044714 33692014 210047576 89603134 1000000000000000000 744521449 25122639 556890724 505919126 1000000000000000000 649177097 597360385 620906228 287022371 1000000000000000000 781173504 309694174 197838719 552877933 1000000000000000000 20407552 2966080 9277290 13922011 1000000000000000000 318923180 240494642 213730018 80868218 1000000000000000000 561389846 295577370 368096075 432262255 1000000000000000000 111240326 10232791 93375320 102258105 1000000000000000000 388439238 128816941 41013525 74205252 1000000000000000000 869672166 664959047 223274959 184495722 1000000000000000000 741538130 362168976 72350099 6113345 1000000000000000000 681160678 490097225 483385639 387435240 1000000000000000000 615098031 596737532 86806152 110969116 1000000000000000000 442793918 272235661 236628087 176106234 1000000000000000000 83705868 57162193 44721773 17668788 1000000000000000000 358141113 24819146 276263212 231270723 1000000000000000000 308283562 244305097 156836990 141051980 1000000000000000000 403807320 89817172 273878742 128068613 1000000000000000000 556280172 282102107 83140168 191434311 1000000000000000000 908570435 711497440 724673635 191449404 1000000000000000000 277706222 97093884 182307435 249055402 1000000000000000000 254494696 197597580 41988520 105937560 1000000000000000000 594098678 562531254 91816773 35638704 1000000000000000000 664544640 280160971 302971555 205593436 1000000000000000000 464875341 381934713 199966514 281299852 1000000000000000000 177289892 157069526 81890609 166609205 1000000000000000000 662337951 130922605 374335994 501967270 1000000000000000000 127342125 23620908 8868222 126926059 1000000000000000000 943047255 233486963 109146682 125448917 1000000000000000000 22618183 6029684 19085807 8168109 1000000000000000000 486409935 409550533 236849532 362978212 1000000000000000000 262469858 9463812 62391940 234756748 1000000000000000000 88339636 7257447 59556552 87994269 1000000000000000000 494443357 435233769 224912793 63651571 1000000000000000000 442768090 249371255 258748957 307989346 1000000000000000000 303970308 56898144 238166319 229628243 1000000000000000000 889824172 592933789 758562921 39659358 1000000000000000000 855212447 319018529 772664190 202159622 1000000000000000000 995420763 276864043 155439396 254173628 1000000000000000000 539317266 476356040 501670078 392480851 1000000000000000000 65097744 33521317 33163202 27328227 1000000000000000000 166874561 125969852 24466658 77668621 1000000000000000000 325422468 187279319 123578454 223717718 1000000000000000000 982636942 55455548 749496972 959960899 1000000000000000000 515729291 74486618 235998509 443569983 1000000000000000000 277246207 231386981 58295683 221171853 1000000000000000000 650581357 504841608 381245794 435467427 1000000000000000000 221763917 96977950 40090824 140340373 1000000000000000000 764650339 349318840 601531974 44465188 1000000000000000000 650160101 195965396 443625885 564975699 1000000000000000000 964093435 536499386 638580293 154363092 1000000000000000000 641835618 254062387 578660855 96414369 1000000000000000000 888873600 715736720 448275424 281434885 1000000000000000000 674448687 414729914 437981246 261465491 1000000000000000000 376115736 159395172 62682177 24040886 1000000000000000000 748821166 592375961 245967803 140010706 1000000000000000000 519095792 163408842 67572347 26870702 1000000000000000000 346122000 47118808 152543162 230011082 1000000000000000000 928840582 34486546 102070334 252075832 1000000000000000000 529176473 111340168 528305103 426191418 1000000000000000000 976592152 364598310 120328693 242038826 1000000000000000000 992561340 690013084 522493640 92611432 1000000000000000000 131308932 9978497 63988080 53341689 1000000000000000000 527189152 239281155 56074612 259276331 1000000000000000000 761765725 270204685 620885330 657624159 1000000000000000000 410037554 93417714 343638973 78911663 1000000000000000000 247613346 116946903 152569687 14014686 1000000000000000000 440713581 379453014 123942756 278438050 1000000000000000000 1186487 241083 198412 579207 1000000000000000000 270261299 221643099 61410574 93775897 1000000000000000000 77823849 41328317 11996504 77588962 1000000000000000000 629543722 57168252 212769857 410934003 1000000000000000000 513431705 161528861 279661343 15692562 1000000000000000000 137751238 46462616 64954469 135279573 1000000000000000000 384856705 273177471 92785604 10128637 1000000000000000000 464964264 424918425 284388821 395753404 1000000000000000000 790516499 734208251 720096469 602283648 1000000000000000000 175429013 89495936 53826380 34920597 1000000000000000000 189726587 155451060 41355290 121376553 1000000000000000000 761611980 417636112 664961384 754104022 1000000000000000000 93990285 8334359 59812850 60673851 1000000000000000000 909115133 496581512 382219118 688468789 1000000000000000000 578952099 4867677 578195711 540872886 1000000000000000000 833695954 514689273 237560913 351767372 1000000000000000000 970758777 399993159 183333434 37392051 1000000000000000000 683431666 89715114 458606285 72598420 1000000000000000000 570410636 214312555 546882583 304952571 1000000000000000000 266362259 197321716 94653498 216684922 1000000000000000000 865947756 397003208 661449926 471116125 1000000000000000000 522967482 416868717 273352298 418428244 1000000000000000000 98905304 75154124 67233619 91885635 1000000000000000000 166796516 5840580 76622025 55919520 1000000000000000000 751376371 88904788 725597609 359597333 1000000000000000000 951996743 503085699 624142357 650209958 1000000000000000000 309703509 162774808 66935678 282189347 1000000000000000000 845700363 333639239 602019212 272275377 1000000000000000000 803925227 625049609 542473716 337970250 1000000000000000000 459852908 222641917 273446414 223273901 1000000000000000000 772592285 209898473 223284713 225099708 1000000000000000000 52406294 43075642 16641783 28301372 1000000000000000000 388531928 11548813 115546203 298609437 1000000000000000000 407119829 370473483 312406944 129462429 1000000000000000000 604036622 213192678 78920373 260469533 1000000000000000000 653743138 471891815 466562736 206666669 1000000000000000000 259275859 127031099 172015107 139076744 1000000000000000000 34690759 28306683 27189223 26638440 1000000000000000000 818198581 130932320 623685025 253159854 1000000000000000000 718738955 638449256 177334906 524512189 1000000000000000000 119664797 72930655 98638706 37275731 1000000000000000000 370856852 5914417 323914086 191294685 1000000000000000000 165797284 83197362 99660736 55536070 1000000000000000000 988252839 278297610 872118214 141779490 1000000000000000000 164865179 101734075 76310571 156376207 1000000000000000000 377165780 131216174 373581989 147526738 1000000000000000000 14533103 13420950 12178325 10366398 1000000000000000000 957066828 25476811 671790955 669700070 1000000000000000000 195706284 148550675 2503458 192099584 1000000000000000000 528737442 443446943 86144300 134017287 1000000000000000000 758550335 220039422 397072938 354201100 1000000000000000000 331777354 77732470 231406498 328638251 1000000000000000000 232364193 216206989 228228970 52040429 1000000000000000000 964199984 63024791 18082818 78838457 1000000000000000000 599679619 461670379 221765274 504441277 1000000000000000000 114523540 46676609 63615112 98615173 1000000000000000000 108183048 12779851 24671757 17860162 1000000000000000000 453394808 304623856 373529584 152957195 1000000000000000000 987895683 34294173 22492191 369493500 1000000000000000000 3693317 1508816 3174464 1701683 1000000000000000000 179864199 103490909 143831231 138328251 1000000000000000000 173392813 129384475 24527287 60340279 1000000000000000000 111834043 61501693 77015548 111479000 1000000000000000000 834779146 128779820 457564475 223704101 1000000000000000000 586923119 553095311 296319460 464423180 1000000000000000000 252587291 199033231 149149870 185805281 1000000000000000000 456886415 17249730 262277429 306198145 1000000000000000000 475181147 166926919 155673557 54238069 1000000000000000000 792939309 597800889 566780404 238751387 1000000000000000000 873575728 870541979 447416105 526374309 1000000000000000000 543531948 509190489 314918849 297839009 1000000000000000000 485220664 91507403 271589052 178050325 1000000000000000000 470929257 456337085 341909796 377466984 1000000000000000000 46644278 22876244 43069604 15257701 1000000000000000000 368626735 348768635 8785674 66971731 1000000000000000000 797760342 576850013 517494315 314335462 1000000000000000000 180821130 883487 24964783 104390063 1000000000000000000 4266884 2796774 879134 3827638 1000000000000000000 751287973 622346151 72640186 281610807 1000000000000000000 560723288 231079778 402734297 134844582 1000000000000000000 591725870 486820958 305031674 34730715 1000000000000000000 373653796 234852712 340217350 229843007 1000000000000000000 694327833 29702057 102442516 324101720 1000000000000000000 837675653 524381512 271814044 412463981 1000000000000000000 639228962 441361946 304998764 347550293 1000000000000000000 821670413 148409752 267955660 158606704 1000000000000000000 253593311 44151335 135459197 62974170 1000000000000000000 651177526 65672102 39596634 252329252 1000000000000000000 361902828 185626483 241673307 154499948 1000000000000000000 203007674 179331520 196632251 115574707 1000000000000000000 253183339 138232205 71084770 31962787 1000000000000000000 509380066 346637369 8460750 106832258 1000000000000000000 870333230 400898063 862112487 122985746 1000000000000000000 647064564 242989046 113511136 504468670 1000000000000000000 430424030 184607140 70280817 333268339 1000000000000000000 884651674 470922272 612837361 271547181 1000000000000000000 374430820 58171388 355561136 136568603 1000000000000000000 329653387 297088844 160152438 231359239 1000000000000000000 264476083 52806198 7720784 136268953 1000000000000000000 411595990 309170075 12264941 211616317 1000000000000000000 838897320 311310093 721370319 664956658 1000000000000000000 216963350 180975437 89462484 84114345 1000000000000000000 295224067 126052269 6103724 215311155 1000000000000000000 699231992 439111038 501275337 138472035 1000000000000000000 394582188 272741719 182116931 209450049 1000000000000000000 929687836 303602658 165646642 547530745 1000000000000000000 830830569 548941606 366235398 560084420 1000000000000000000 728141702 499735873 633614111 464852547 1000000000000000000 354420412 273735770 188922327 35671924 1000000000000000000 308016190 258353029 168629515 222669277 1000000000000000000 485984491 194001445 296389111 89969248 1000000000000000000 255923298 245648114 136873087 57590607 1000000000000000000 26458402 14994474 19194545 604060 1000000000000000000 477331690 267695643 154197061 198188158 1000000000000000000 533958367 44757077 437284557 309711736 1000000000000000000 354646790 222715031 94583958 243069023 1000000000000000000 933967693 92499775 472432933 277915246 1000000000000000000 919938111 597505691 670921622 543616699 1000000000000000000 65786350 41486322 44743612 50782293 1000000000000000000 388551999 178139729 256224892 213315218 1000000000000000000 301533869 161686671 124403634 41842189 1000000000000000000 66818584 7459412 32711653 25526935 1000000000000000000 639828393 117764301 223819747 93460171 1000000000000000000 357349320 297992249 213968962 207632223 1000000000000000000 479346171 17727293 169957032 327160429 1000000000000000000 828949921 282983430 741774084 526662171 1000000000000000000 923206331 850269222 293159077 644132179 1000000000000000000 916751695 895963310 896815080 852231724 1000000000000000000 457840497 95640724 192899592 101295764 1000000000000000000 636974523 532518186 582351868 489345808 1000000000000000000 857396387 474286886 263405557 93557658 1000000000000000000 704085645 68046544 576017482 406568188 1000000000000000000 242395226 30464779 14427295 29050754 1000000000000000000 215283032 212471255 76117708 136149520 1000000000000000000 708022844 136146068 507832002 478603318 1000000000000000000 446258871 117153666 142873807 43180927 1000000000000000000 216659084 208034686 207173955 109729365 1000000000000000000 32649022 11940560 11195227 12786387 1000000000000000000 320267376 284665144 280657703 106481961 1000000000000000000 239860688 89969670 16273310 51178390 1000000000000000000 491226681 381132466 70666863 413763490 1000000000000000000 813242612 456030452 205403735 740311911 1000000000000000000 504821836 280533005 163481541 495884883 1000000000000000000 375995462 192411880 184318369 317063505 1000000000000000000 31554019 5188354 24572004 11753803 1000000000000000000 134261523 29627752 131877678 63869828 1000000000000000000 863900269 256353549 146828319 329850180 1000000000000000000 387575873 169158578 362310824 305509926 1000000000000000000 824318024 7264828 126358055 817083240 1000000000000000000 877318334 659208508 562014550 198003027 1000000000000000000 759469138 557399009 701987685 650944296 1000000000000000000 732873779 692293658 310752251 460780997 1000000000000000000 955738275 823678826 820014915 200437343 1000000000000000000 502478766 74746804 229446047 144676239 1000000000000000000 152630295 140165811 147973284 25319173 1000000000000000000 993318206 43334792 955008278 319371997 1000000000000000000 156032270 88266799 11671144 65734903 1000000000000000000 58412706 27687748 46624923 35272743 1000000000000000000 248422599 235620082 83034543 247790645 1000000000000000000 46895860 1578448 22333520 11580948 1000000000000000000 708797899 451053797 139879630 534385821 1000000000000000000 985038726 478988218 160926344 798332016 1000000000000000000 835087110 822835949 415231953 674459862 1000000000000000000 733927268 95025658 240844062 176551843 1000000000000000000 885351205 621622346 767682303 312875559 1000000000000000000 294244974 109541720 271477610 167136831 1000000000000000000 417076169 371527177 56934462 177726472 1000000000000000000 138072404 72626351 94451387 104977633 1000000000000000000 44908002 42902072 38373260 25346905 1000000000000000000 925348071 117010400 181410541 266468912 1000000000000000000 183742996 168236653 102746044 165433088 1000000000000000000 489888792 197943959 317941878 259537396 1000000000000000000 382246266 145749184 97225183 283777793 1000000000000000000 672941707 512166047 394486770 304178427 1000000000000000000 99445369 84125964 66287052 42201761 1000000000000000000 961260261 150726521 905295684 354715125 1000000000000000000 568228575 183423000 72038830 493481190 1000000000000000000 771747114 252074670 564776394 527218320 1000000000000000000 262968713 240432657 262183074 87091256 1000000000000000000 119328441 4804553 32616886 81833750 1000000000000000000 61378811 14414574 7710569 39552581 1000000000000000000 713440967 465193549 134488016 558214600 1000000000000000000 724528164 688719786 170172005 520288593 1000000000000000000 91425688 37331000 64390193 90219651 1000000000000000000 610466217 491915013 421168405 168447825 1000000000000000000 984451592 577000689 415835186 949080347 1000000000000000000 778712763 635591691 281160790 537045472 1000000000000000000 234282412 85998148 148967513 219499714 1000000000000000000 377816727 323601020 248892423 159504536 1000000000000000000 75228195 9057313 50893502 31572992 1000000000000000000 213418616 53620883 89497848 115776725 1000000000000000000 520595848 323595078 469713608 180396210 1000000000000000000 439450229 179944365 190707461 170258290 1000000000000000000 191113603 119137472 23901790 88049645 1000000000000000000 643984903 608061205 522052184 239961573 1000000000000000000 354494741 140307747 106965160 343766895 1000000000000000000 889798971 519223857 6881351 59445517 1000000000000000000 992595081 336147910 758202894 278591533 1000000000000000000 676322023 486735353 10171276 300472096 1000000000000000000 499352111 132719844 170781400 289879830 1000000000000000000 485497004 425329395 264734454 424630962 1000000000000000000 445746055 305479276 420699478 303987656 1000000000000000000 245289172 94083427 36566501 207136436 1000000000000000000 585474923 156888009 79849868 580685081 1000000000000000000 333339023 291472639 285007302 58806582 1000000000000000000 28014072 24475089 8581893 9677488 1000000000000000000 910538916 882380657 305444308 481650755 1000000000000000000 917027771 871413589 857369249 112466237 1000000000000000000 146609102 49200682 21134815 113314000 1000000000000000000 991103319 4118457 113709333 209750955 1000000000000000000 404057053 323513725 311447203 214818538 1000000000000000000 510769798 477222314 499541004 340636633 1000000000000000000 744774164 436067212 629943053 184604628 1000000000000000000 513085615 330265381 246811051 488334383 1000000000000000000 520183352 489922311 465626482 451185408 1000000000000000000 919693531 885470287 246876559 874003301 1000000000000000000 689610464 15470157 106348990 613969101 1000000000000000000 325098730 58654835 262346274 68726597 1000000000000000000 90835150 43990068 88645297 3038285 1000000000000000000 6251754 5684751 1737043 4149239 1000000000000000000 559681431 518848770 438982242 510244478 1000000000000000000 10453731 4289370 701299 5787599 1000000000000000000 559526868 524660521 334064737 101366989 1000000000000000000 611337023 377532047 411892192 364398840 1000000000000000000 831837670 62442810 15314191 239680384 1000000000000000000 348938139 5294223 189590620 170554027 1000000000000000000 421227580 309201179 195086497 130528651 1000000000000000000 698012717 695420637 590893764 370215503 1000000000000000000 746362626 338579903 215461750 527141887 1000000000000000000 419327348 252402726 105751256 339913410 1000000000000000000 722474252 57856033 54644146 484325521 1000000000000000000 207947526 122743957 204598497 114693564 1000000000000000000 336372114 274894601 32405662 3345640 1000000000000000000 463799288 192287398 44546688 93556988 1000000000000000000 382721403 227733017 293084834 363088355 1000000000000000000 68111293 53443717 3147876 62415666 1000000000000000000 364413673 169992405 349018492 254294010 1000000000000000000 823148779 418174384 89543898 114685058 1000000000000000000 625430093 109164097 83508164 524863735 1000000000000000000 146319882 134247710 21983641 110846920 1000000000000000000 38305888 19545884 7725046 21611807 1000000000000000000 272688720 41559176 230752167 241501562 1000000000000000000 481826350 389321323 33194059 273675190 1000000000000000000 320091145 199720148 115634391 155117044 1000000000000000000 41062913 21789344 11092226 533849 1000000000000000000 569100559 468125745 109834682 291921255 1000000000000000000 179084755 5934550 47141804 137858416 1000000000000000000 969186415 481631782 903593775 339621168 1000000000000000000 271040499 222709391 25716794 263204113 1000000000000000000 750282635 600369554 596196170 559563603 1000000000000000000 288590040 68196075 270030264 9092036 1000000000000000000 202398583 144039974 139320202 163156154 1000000000000000000 642397538 530160812 43485914 419223425 1000000000000000000 924968971 903490053 829071588 64377195 1000000000000000000 448577787 157599167 230173427 302242254 1000000000000000000 661776034 635469791 527705876 344098753 1000000000000000000 508501861 143728797 118084464 477223728 1000000000000000000 328834704 151968397 15240480 296604298 1000000000000000000 916506263 25265878 755495702 649062943 1000000000000000000 368802576 122357971 191408238 115953800 1000000000000000000 968962362 805248723 17433014 585557887 1000000000000000000 308258221 228443552 171995643 62271160 1000000000000000000 825349564 67378613 577435996 142054166 1000000000000000000 272240717 76390683 122232375 69156031 1000000000000000000 429259597 118257880 423689487 40445482 1000000000000000000 328474986 171903528 256926892 69440012 1000000000000000000 319948882 263518521 211640923 239205055 1000000000000000000 982551885 303764644 654820164 697465759 1000000000000000000 576593576 20050731 198870442 224011253 1000000000000000000 774120500 693225118 399116019 309294552 1000000000000000000 557828161 539188181 554321727 45496080 1000000000000000000 983509186 909746702 850543802 491303603 1000000000000000000 358807699 104483112 131507049 13654587 1000000000000000000 796036430 116601773 110701332 390023546 1000000000000000000 333752841 287339673 266103385 264942886 1000000000000000000 885990128 387239551 717824197 470267893 1000000000000000000 814870799 620266291 708078638 7236812 1000000000000000000 161335947 28999574 3037135 151570077 1000000000000000000 723346667 476744210 88387241 555607169 1000000000000000000 762273249 154056668 482754509 198002876 1000000000000000000 492420550 255564654 303186545 390034046 1000000000000000000 385877805 238208970 86749684 367349315 1000000000000000000 729516132 268017719 481290207 367489394 1000000000000000000 686237793 197569017 39558138 270365255 1000000000000000000 914358291 588522811 353061224 779639839 1000000000000000000 446557478 334152742 246758883 8568534 1000000000000000000 312553412 172391073 199670920 166490161 1000000000000000000 337510515 314039496 53832763 207086633 1000000000000000000 823205828 167883341 355037361 124699366 1000000000000000000 826334035 559780892 632838159 290956104 1000000000000000000 99624103 69404167 74610575 29189042 1000000000000000000 894545432 49639392 624611441 798176992 1000000000000000000 836797404 600328853 414040099 471681328 1000000000000000000 686109053 87145807 413698344 397112205 1000000000000000000 799654271 584657291 275013814 499620365 1000000000000000000 382389960 93433579 17932363 360930135 1000000000000000000 625418597 601897173 436844350 151405245 1000000000000000000 596357449 157488187 134962816 203171206 1000000000000000000 69108117 53927504 15762989 528678 1000000000000000000 964089696 951127365 652678076 377625656 1000000000000000000 941346659 632441411 275478903 872967718 1000000000000000000 797181028 718593539 696764660 549745905 1000000000000000000 593249673 567154359 534329575 426609068 1000000000000000000 530483891 391812431 128945530 63512902 1000000000000000000 883365213 695536236 828470808 204142085 1000000000000000000 938264086 935209944 507381093 673547103 1000000000000000000 420801811 282285352 103330778 281304568 1000000000000000000 578933856 179922541 184076817 391570167 1000000000000000000 58282022 3849251 45885853 12394395 1000000000000000000 49104409 19502008 24462843 46200345 1000000000000000000 201497866 167911117 168433189 82781309 1000000000000000000 804754826 137680352 769731673 427611080 1000000000000000000 633604812 236185487 531807547 94038988 1000000000000000000 890604988 169539089 529547403 511067302 1000000000000000000 964346469 890732609 716681289 700825962 1000000000000000000 343021171 161852511 220646331 69807167 1000000000000000000 660335339 361422186 146395645 486302525 1000000000000000000 156398620 88188525 100354932 132205342 1000000000000000000 830013900 231051744 433890246 578638793 1000000000000000000 138865827 45910208 108072626 73100035 1000000000000000000 787033499 389575673 127763434 169891195 1000000000000000000 995009465 855219345 714445791 404289189 1000000000000000000 552937552 302834973 254183245 523426119 1000000000000000000 708658017 533269048 531679954 583726021 1000000000000000000 472493869 238671406 458124119 346955586 1000000000000000000 403618980 202017313 384670920 15755800 1000000000000000000 69755395 26425741 35565961 40163368 1000000000000000000 121199809 89769925 44029021 8114163 1000000000000000000 585444938 318662641 315971695 492900832 1000000000000000000 621582667 188328780 88946433 6768100 1000000000000000000 41413667 13852049 22060687 4943755 1000000000000000000 110081883 85805984 42970034 76367946 1000000000000000000 276911931 272467509 81372922 255025092 1000000000000000000 298077205 207206442 149343439 192295032 1000000000000000000 736053445 446274311 583051038 508347558 1000000000000000000 62465853 7493404 44353970 38236418 1000000000000000000 742894332 354549422 673588020 197290691 1000000000000000000 853811711 6130578 582208606 63053278 1000000000000000000 413114831 221950471 114090463 137193126 1000000000000000000 428043735 121410435 40913356 26773652 1000000000000000000 166480393 22161750 91075985 81800123 1000000000000000000 941770196 227253318 736408051 897239849 1000000000000000000 98547010 66017908 87900914 26977412 1000000000000000000 180045786 24213379 90592456 19991110 1000000000000000000 817422780 368357947 296196265 378476574 1000000000000000000 395507459 54872231 13688914 24114760 1000000000000000000 74875362 73458735 27896337 20886659 1000000000000000000 346883841 3095318 105381848 82032308 1000000000000000000 337100579 263601147 308086544 332331692 1000000000000000000 901658991 215311998 689122164 223355838 1000000000000000000 238688948 214377402 129820903 88762545 1000000000000000000 672288863 438850144 287301802 671256083 1000000000000000000 575929083 189811805 272676660 414154386 1000000000000000000 841463548 427101860 531011572 575537905 1000000000000000000 783947794 119680866 597565191 699153077 1000000000000000000 167916796 125988180 121865874 99956800 1000000000000000000 390841750 126572567 152457473 195083822 1000000000000000000 543908304 104084984 358720227 232564399 1000000000000000000 659483922 122021591 107573900 210559589 1000000000000000000 679350531 414941375 3654480 354123038 1000000000000000000 40664931 4810150 27960609 9370537 1000000000000000000 610412682 600995767 198127703 6129027 1000000000000000000 853912185 352889809 130257401 16118899 1000000000000000000 71474369 69209245 46391651 25058616 1000000000000000000 193725110 156086054 138610805 173203529 1000000000000000000 947804097 940391096 684888503 73196453 1000000000000000000 816175272 534163090 187727645 319288893 1000000000000000000 327225242 202411642 99318502 5718240 1000000000000000000 654172378 43142448 62540935 570955010 1000000000000000000 732458763 468970825 244175960 377101958 1000000000000000000 207633874 195487868 25318755 127731944 1000000000000000000 337914922 81835418 18500873 269169155 1000000000000000000 269666895 70847909 176250910 51296138 1000000000000000000 498749183 108577164 439685844 219801550 1000000000000000000 64588838 44591206 35406518 36882267 1000000000000000000 189436216 5341826 33250528 40757907 1000000000000000000 447565506 339423712 203244702 205132536 1000000000000000000 914016404 536525961 24008160 18348726 1000000000000000000 179795752 48110346 86393780 139193722 1000000000000000000 520582664 346801508 173577007 297259136 1000000000000000000 241508609 224856059 207705266 64781498 1000000000000000000 156932829 109079216 10114884 122955426 1000000000000000000 788442802 62869802 738597617 556865957 1000000000000000000 125184558 13164831 50970862 106887009 1000000000000000000 216403642 151407035 211938819 148044992 1000000000000000000 826094069 524903041 476808214 545255290 1000000000000000000 539594165 148128302 211071243 468555725 1000000000000000000 691129559 310453225 680065251 41072594 1000000000000000000 147551251 145415412 4647860 122027927 1000000000000000000 640999956 75182448 398191239 488680075 1000000000000000000 377953391 322441017 94783671 229760551 1000000000000000000 25070577 13850381 21430950 22751662 1000000000000000000 365445857 114057810 48839918 47276923 1000000000000000000 603611466 318109391 461664986 343559769 1000000000000000000 997564881 343187175 957363946 714086185 1000000000000000000 412540248 336284217 6874163 55186295 1000000000000000000 600256005 75218298 466100523 258368211 1000000000000000000 943802066 31907161 33367340 40641702 1000000000000000000 842916956 413100143 207079645 721082778 1000000000000000000 365211339 88800131 335729014 164540908 1000000000000000000 685394533 581304727 369128541 614966284 1000000000000000000 547256465 452522156 330138716 207078661 1000000000000000000 740804734 299331954 726048581 399331212 1000000000000000000 383583623 98953923 357717062 91615576 1000000000000000000 883518014 302963073 381422373 348492460 1000000000000000000 34541562 15140541 33169553 677716 1000000000000000000 600510732 342978295 276862161 255185262 1000000000000000000 315141406 142511655 176669633 28725109 1000000000000000000 401831554 305338539 50254996 31710328 1000000000000000000 775589828 91490074 290489904 88863258 1000000000000000000 790190260 148353858 770481983 372770048 1000000000000000000 758938392 483171403 604619860 457369835 1000000000000000000 330627524 197626825 219390136 13012887 1000000000000000000 344260799 245474374 193258575 309229219 1000000000000000000 800095994 737783590 688147744 580796103 1000000000000000000 339816369 26601640 106996508 114827911 1000000000000000000 56124228 24365631 29632456 23929455 1000000000000000000 865639388 342551319 28551059 75558203 1000000000000000000 3747472 3639939 2330785 3203206 1000000000000000000 91052970 77482991 77549249 76925020 1000000000000000000 787970434 348569887 394503424 175044547 1000000000000000000 346199936 233629540 59410487 5992186 1000000000000000000 481692958 78496087 224193935 346553595 1000000000000000000 103331902 36518126 88725430 39065995 1000000000000000000 119983586 72129406 14609688 12494889 1000000000000000000 480692293 432997393 223423685 151666117 1000000000000000000 969969729 428131380 315250723 542096374 1000000000000000000 680532913 663796200 440661079 191358168 1000000000000000000 763532245 576326581 602797218 574493049 1000000000000000000 905055406 790491418 520402367 763234688 1000000000000000000 336863846 180744439 132001708 318443434 1000000000000000000 298682470 44520241 207373916 187326329 1000000000000000000 978830653 292651629 704777665 319873097 1000000000000000000 577989283 488401386 278942797 154310678 1000000000000000000 880906311 322533939 559040864 242989842 1000000000000000000 298740346 196014777 206127428 49121692 1000000000000000000 157006054 88730259 79585596 25985237 1000000000000000000 854896755 793958021 846374356 328047261 1000000000000000000 270564805 40998253 269973360 86239770 1000000000000000000 870760182 291764151 704853540 327193044 1000000000000000000 106027487 20976772 3127475 3630400 1000000000000000000 565188804 351402306 71542237 47021573 1000000000000000000 104498482 3066530 47821494 97621721 1000000000000000000 642343761 574754022 169390866 327745833 1000000000000000000 913394870 87774468 626212666 682560180 1000000000000000000 886226364 399600067 542168283 115715756 1000000000000000000 587277480 116720349 220757636 140970877 1000000000000000000 71323339 1822358 65899419 1679602 1000000000000000000 431996337 392270055 84976548 420870413 1000000000000000000 846667207 720392325 81638402 810965488 1000000000000000000 424094839 97283080 339757768 317710689 1000000000000000000 242475018 36713682 11380912 241581854 1000000000000000000 771482727 230842516 719067857 75467371 1000000000000000000 659995523 13922397 526202207 279505944 1000000000000000000 104038933 81502345 32152174 49168123 1000000000000000000 931621938 165671863 627495355 162070006 1000000000000000000 741958519 205042801 189612238 654185808 1000000000000000000 47194973 3458987 31149021 15239229 1000000000000000000 240113239 194206846 16917842 30551666 1000000000000000000 570476486 549106374 349180424 333309709 1000000000000000000 899073885 318261642 733691402 289490751 1000000000000000000 488780451 176594138 128798235 183261350 1000000000000000000 505506677 305751010 196400767 207059650 1000000000000000000 482052334 407729333 468694558 467442163 1000000000000000000 147513921 54115912 5342910 102521874 1000000000000000000 633943753 567033682 430928012 589559500 1000000000000000000 373476243 276637935 100089062 136952727 1000000000000000000 475729904 287407857 330110556 256191262 1000000000000000000 177563179 48680178 19038241 47662651 1000000000000000000 662631453 557777203 211256895 363002348 1000000000000000000 550319555 513531290 249536793 90395408 1000000000000000000 936503812 224516404 805378153 3593593 1000000000000000000 934903879 237010530 354417972 327085080 1000000000000000000 340096925 73493173 93535348 45656196 1000000000000000000 358058646 35527742 327344381 259757931 1000000000000000000 966174351 912928427 801585417 643547560 1000000000000000000 898437952 261719431 278469156 316063792 1000000000000000000 135235304 86292166 84234210 85432058 1000000000000000000 337079183 135249661 61340746 259009651 1000000000000000000 927196349 627870111 151552055 653015282 1000000000000000000 592016060 131721790 122164805 405389513 1000000000000000000 992740339 942862782 542211132 952971368 1000000000000000000 559155351 446664041 162527043 229924603 1000000000000000000 238510726 220308906 217210026 229147214 1000000000000000000 342076720 188143429 314129206 302685631 1000000000000000000 543861359 393814034 361199594 322529757 1000000000000000000 808119134 219400048 175188820 118260747 1000000000000000000 738615192 719788064 62891662 574180514 1000000000000000000 288518539 81292006 215215984 164350439 1000000000000000000 164228063 6475344 145161663 82166715 1000000000000000000 168520587 95695207 31173688 71997578 1000000000000000000 981442195 723349774 864364000 432266251 1000000000000000000 912876349 504208729 327908275 481636739 1000000000000000000 359424705 7087167 91351735 127070465 1000000000000000000 891997897 615507649 854889342 519054944 1000000000000000000 249822328 219902281 138548612 163446092 1000000000000000000 372714819 24859910 330786104 225144051 1000000000000000000 518548244 203159997 71226913 144322376 1000000000000000000 648064953 543868676 460806477 545818243 1000000000000000000 633633865 532700821 376933425 320050322 1000000000000000000 919687061 422292222 445346244 883093613 1000000000000000000 819894029 78177470 281653809 191226002 1000000000000000000 56856063 17868469 37383276 28234230 1000000000000000000 814706372 75962821 174662196 487111001 1000000000000000000 949890900 176062570 273094561 917394001 1000000000000000000 22361590 7967928 14824557 13706287 1000000000000000000 510516203 1588481 2958338 343984425 1000000000000000000 519721783 57342316 164708488 99330887 1000000000000000000 938694808 796291426 706090828 881760029 1000000000000000000 540008160 446404997 388031493 135871288 1000000000000000000 699990587 226506588 532196290 207295645 1000000000000000000 271506161 249227881 256267954 201189447 1000000000000000000 339779037 237608213 121594946 219681398 1000000000000000000 948513948 509475810 620478059 205781577 1000000000000000000 38018459 11850687 29886167 26986036 1000000000000000000 193108834 115349838 132726943 42171148 1000000000000000000 645989613 210307810 307552391 479769514 1000000000000000000 939585574 563092654 617781653 925617406 1000000000000000000 333083196 202680687 156801204 245894070 1000000000000000000 217942930 27024265 110429623 78003773 1000000000000000000 284230660 149654040 249336756 58859844 1000000000000000000 310582605 105143436 205222128 211437681 1000000000000000000 26581749 3399399 24821364 3863107 1000000000000000000 287942184 217711991 284908874 93551019 1000000000000000000 598903744 564497323 94664388 83236523 1000000000000000000 7095630 4777479 161204 972067 1000000000000000000 533149391 480844154 24227210 192287150 1000000000000000000 704009458 634860905 613949173 158278296 1000000000000000000 439189371 53932228 126362372 351397597 1000000000000000000 365537860 91529284 183727389 217268843 1000000000000000000 103006213 59916585 14519538 46577290 1000000000000000000 915744538 6330410 451565446 759174206 1000000000000000000 567729045 315423976 159990668 359231440 1000000000000000000 597686867 579071071 26902545 363808295 1000000000000000000 23604492 1379072 3851931 23145082 1000000000000000000 676035724 128612142 219444339 523093902 1000000000000000000 884019545 44852895 18351829 699732151 1000000000000000000 23976829 20075776 18596788 23605162 1000000000000000000 955103887 725107578 706687432 908965383 1000000000000000000 740899411 237452783 62726000 672263405 1000000000000000000 544810290 344657533 471593839 223172280 1000000000000000000 539611531 420025002 75245792 297117920 1000000000000000000 41966421 9870289 23263843 26640490 1000000000000000000 201329913 125627918 154687879 174272377 1000000000000000000 975658735 231713448 349237966 946207690 1000000000000000000 400671009 276169611 79178630 98824357 1000000000000000000 198098890 46970670 27928191 121707102 1000000000000000000 323447017 69493041 135265443 176436526 1000000000000000000 535915922 259680877 252069179 273140092 1000000000000000000 786893906 9301624 76514417 739385031 1000000000000000000 704953301 1721858 600839890 661259534 1000000000000000000 176949502 164734780 138994446 107037678 1000000000000000000 831931767 724515219 38425870 262561561 1000000000000000000 817175694 313003828 460271067 229815478 1000000000000000000 586486094 577234819 123444554 203799764 1000000000000000000 404700608 284633248 375380745 304714673 1000000000000000000 953382295 460231135 558124260 816808110 1000000000000000000 159328056 51402744 135123651 77514883 1000000000000000000 760237142 295817794 362947284 657530860 1000000000000000000 456129294 248427469 436059069 373580329 1000000000000000000 248667897 98472351 29790494 61873281 1000000000000000000 363313277 93470346 10216482 60323922 1000000000000000000 922367926 342469486 724045399 462599223 1000000000000000000 792090990 306763633 680118902 309021744 1000000000000000000 962909780 423057927 188845397 740332744 1000000000000000000 78392382 5025375 1376510 18253208 1000000000000000000 5376794 1775525 4871711 2549355 1000000000000000000 577117628 47571043 159155594 421659746 1000000000000000000 295671995 267052330 62742027 129651992 1000000000000000000 289782934 259932892 73017050 78283159 1000000000000000000 453870612 377344461 174196470 395512323 1000000000000000000 139684483 28761543 122899843 38507519 1000000000000000000 731347043 629145714 715087971 296518723 1000000000000000000 784524878 3712416 307574261 679723597 1000000000000000000 547850016 148625214 145201721 374465125 1000000000000000000 882916032 288379180 616713721 202050917 1000000000000000000 281727687 26055263 580579 176053527 1000000000000000000 83871692 82765896 60047453 79562387 1000000000000000000 49888420 14370271 31472049 10034930 1000000000000000000 433897774 271867325 261058870 430314344 1000000000000000000 61766072 17479265 42594426 45883048 1000000000000000000 494038835 222512069 312888090 477340763 1000000000000000000 420740754 222684747 109263619 392769948 1000000000000000000 104755470 31422581 584897 25854430 1000000000000000000 146386843 53891092 106198527 94406665 1000000000000000000 734328258 556396476 689516120 286017376 1000000000000000000 843879209 454587437 777300051 102240582 1000000000000000000 131947941 24576173 10453002 43055423 1000000000000000000 192424457 133698589 15350828 82295429 1000000000000000000 982824864 741498441 29972352 751209420 1000000000000000000 222574732 178179536 156491062 181446150 1000000000000000000 369178907 166771567 197305361 105204797 1000000000000000000 191268155 164870806 132076941 34444403 1000000000000000000 952434052 222149451 684276536 831638941 1000000000000000000 143903244 18004513 101691251 3274547 1000000000000000000 723274134 134019553 56875973 600983780 1000000000000000000 603319233 134474649 436924464 323316892 1000000000000000000 552461663 360363966 493499012 208869491 1000000000000000000 776645354 420182553 535286428 525553414 1000000000000000000 816026786 143039270 373044191 182790035 1000000000000000000 746748802 317263010 529570002 108077484 1000000000000000000 683958357 381895882 251454807 651971947 1000000000000000000 299926559 31837695 158036113 244839209 1000000000000000000 169643283 161429804 7321869 1455145 1000000000000000000 942885015 933223593 403587537 778726059 1000000000000000000 841673227 283310228 128460177 502782946 1000000000000000000 883506384 778568176 508528719 56319469 1000000000000000000 829027424 577640802 175168193 655687222 1000000000000000000 831803549 545943466 195985965 352130456 1000000000000000000 659705880 640209278 29521819 613984024 1000000000000000000 17236802 14598352 4544987 1916753 1000000000000000000 824503825 126383676 81446565 177628280 1000000000000000000 58055655 16099189 30471676 24403702 1000000000000000000 490783940 289280141 208070002 259356694 1000000000000000000 522346461 10395507 450503309 256322574 1000000000000000000 328553310 308452494 33864080 159059601 1000000000000000000 688713190 225431921 260982775 429566402 1000000000000000000 181306720 48109224 9627612 130457490 1000000000000000000 705271476 401962806 345330386 501066457 1000000000000000000 400061268 300273059 150528916 341214027 1000000000000000000 775602409 301205730 571598951 203728813 1000000000000000000 291781706 58437541 17829140 248383142 1000000000000000000 449627083 287512948 375334948 164258640 1000000000000000000 507309872 394584961 135113821 55046714 1000000000000000000 930377908 66935822 896204755 58638069 1000000000000000000 862568878 384513850 783757899 246189758 1000000000000000000 387656756 248169432 73036945 190731576 1000000000000000000 164714099 137970646 88032591 127213313 1000000000000000000 860736126 702416175 565432505 66346370 1000000000000000000 2380368 1314353 691928 735277 1000000000000000000 355116490 260159424 233210128 165864207 1000000000000000000 793615248 41209153 213348104 76101576 1000000000000000000 448879869 278644886 191907520 428888469 1000000000000000000 95988430 12929627 94405783 91616944 1000000000000000000 196395700 119351281 21234396 100956110 1000000000000000000 983290831 255183003 496594376 236060194 1000000000000000000 362365505 20322613 250832876 71774268 1000000000000000000 858262258 229232469 364419634 369793310 1000000000000000000 39526509 11571454 3816980 25898345 1000000000000000000 224909636 216930856 6136825 224827364 1000000000000000000 128418689 119636633 125226898 71370887 1000000000000000000 30986604 2169519 9663904 28277496 1000000000000000000 804629553 484174523 95785756 249645578 1000000000000000000 423700322 411672010 97031821 129906925 1000000000000000000 27105312 6981013 6255848 22700335 1000000000000000000 868665497 744004667 590327205 148184856 1000000000000000000 518413082 251818456 285141350 238446440 1000000000000000000 584215887 118087954 114497791 245608722 1000000000000000000 821086144 581482414 89495983 192250036 1000000000000000000 153077048 86474210 41167607 85609396 1000000000000000000 29235683 21724545 7122499 9152621 1000000000000000000 808104543 288749225 636923598 435429282 1000000000000000000 636144253 339865827 626477387 375398482 1000000000000000000 749627679 43516559 32720595 531579681 1000000000000000000 625061622 436164085 330332537 529279806 1000000000000000000 88681288 84807229 25310107 86983242 1000000000000000000 88361498 75614398 36357416 27676927 1000000000000000000 804151520 308513661 671248366 230625298 1000000000000000000 289603386 124965845 47154785 150914104 1000000000000000000 406107149 234515925 80823404 104624465 1000000000000000000 178121256 27637973 88022715 60176979 1000000000000000000 106916081 64500649 101845573 32089712 1000000000000000000 964780204 727619453 34527713 731369626 1000000000000000000 91660262 8913598 36800300 87771436 1000000000000000000 226474199 187842783 918859 204282319 1000000000000000000 629663942 227018153 478027807 50228502 1000000000000000000 865676526 453635474 119781037 43873273 1000000000000000000 948124998 60581632 746503635 821992480 1000000000000000000 561549506 455887765 500199040 472079012 1000000000000000000 487877816 429495290 471973079 365402644 1000000000000000000 764866239 567801161 473950414 144448290 1000000000000000000 12388085 8998812 6213374 5801695 1000000000000000000 465850598 247136469 147395009 127439433 1000000000000000000 654341455 219438234 92058491 365964610 1000000000000000000 885401206 221698905 706921711 112780788 1000000000000000000 595068896 63645636 328175288 484034457 1000000000000000000 314662575 20932059 124902126 310125110 1000000000000000000 897026590 727205629 691934166 652071601 1000000000000000000 954933503 599344177 692688327 795585577 1000000000000000000 224621169 171574009 203776899 82045243 1000000000000000000 579722876 151350176 385245430 288764969 1000000000000000000 672353094 377865922 450360131 243364200 1000000000000000000 663357267 304777839 260730008 239685897 1000000000000000000 182762320 90453502 124538128 24294941 1000000000000000000 655770515 431153942 292748439 413631362 1000000000000000000 274843370 48275489 166352690 123797965 1000000000000000000 968992823 101538656 297087463 271172717 1000000000000000000 938424793 469414200 567714871 779757528 1000000000000000000 422181675 371942201 2250254 25782812 1000000000000000000 596855677 280772706 42949799 304606494 1000000000000000000 675568212 641575761 312982649 44855909 1000000000000000000 575673055 479350078 535168539 396358593 1000000000000000000 572909514 8627249 552535152 90308759 1000000000000000000 573035863 456614331 405756388 460316672 1000000000000000000 164385036 152637970 87367621 19226901 1000000000000000000 21601270 5573179 19933763 13623535 1000000000000000000 944409413 457586967 863352119 550252412 1000000000000000000 193015755 143182219 2274579 125213462 1000000000000000000 385606961 319708582 329072229 293770477 1000000000000000000 334035080 209512474 244715843 47529843 1000000000000000000 30428565 20391179 1846764 19216577 1000000000000000000 235780207 26297829 77789468 129063365 1000000000000000000 72683659 44077015 21834213 70030386 1000000000000000000 202459482 92478828 95081282 17981223 1000000000000000000 30141233 27573336 29485120 11401761 1000000000000000000 75572826 31622567 335383 16171750 1000000000000000000 562259050 421278730 171099323 299380688 1000000000000000000 17992198 17833133 1255621 331725 1000000000000000000 170425604 72437289 14844459 1734090 1000000000000000000 79293484 12029756 16066146 5783452 1000000000000000000 61461808 11629331 23681511 55177124 1000000000000000000 956753151 651767328 424252949 19076005 1000000000000000000 210242637 206818098 126775776 118638827 1000000000000000000 342580958 307636940 196306707 199387119 1000000000000000000 739201621 120667225 634737057 398015475 1000000000000000000 179949088 83136387 1817451 125064998 1000000000000000000 152907400 123927301 19036261 51534959 1000000000000000000 756190288 390995235 538163899 647363797 1000000000000000000 273342452 25381709 271283792 79108462 1000000000000000000 395417949 183533443 274122828 61545235 1000000000000000000 942745069 44144270 93007959 135537607 1000000000000000000 451185522 188698771 71638321 208898164 1000000000000000000 346109038 292270574 294697629 318986583 1000000000000000000 948499143 713050738 610676800 784568228 1000000000000000000 608554367 110777635 495503459 333142998 1000000000000000000 606495388 51537518 95676093 448872205 1000000000000000000 718963206 538035442 229663714 56919106 1000000000000000000 648113401 626328741 260459395 387452854 1000000000000000000 412259783 188150696 186631610 339924161 1000000000000000000 346266445 35159423 235591447 266526486 1000000000000000000 612906503 503614927 480079560 30318866 1000000000000000000 639269971 617483300 508235235 520230664 1000000000000000000 509142330 466515503 248855844 484728408 1000000000000000000 137183396 81085639 1792445 34384985 1000000000000000000 168140606 78287377 94066173 73474929 1000000000000000000 50913665 50784789 28147923 393335 1000000000000000000 877225529 317534536 345778777 177836549 1000000000000000000 214428470 674848 67551838 71655647 1000000000000000000 334448905 298233052 29543086 12171354 1000000000000000000 295212609 26368110 98379995 170628848 1000000000000000000 253880551 17903734 212131343 112550153 1000000000000000000 151273610 130020486 52713048 113733843 1000000000000000000 395622237 102858545 125445283 322519706 1000000000000000000 813881001 793016076 525852565 217546846 1000000000000000000 974420803 19149230 552773804 636384995 1000000000000000000 467284439 462242907 29027121 112265287 1000000000000000000 828609792 114579129 329903778 50490110 1000000000000000000 462133130 52195114 117462559 40535897 1000000000000000000 370900039 176940251 268909558 251206386 1000000000000000000 903842539 683266018 24670335 574009551 1000000000000000000 726217719 108848434 498981244 65477553 1000000000000000000 815576257 164856372 447060033 607378689 1000000000000000000 12376170 6309516 8922700 6284782 1000000000000000000 612984667 489528398 559843765 31720122 1000000000000000000 176535720 69585991 79454385 32079033 1000000000000000000 596998634 162507231 415933056 95514014 1000000000000000000 813722648 709999027 577624160 235924463 1000000000000000000 892512812 765283591 23231971 36463474 1000000000000000000 263665718 47304109 173121224 23773179 1000000000000000000 78125392 41955692 38195597 70536354 1000000000000000000 835559233 175011086 257137509 8847140 1000000000000000000 490828900 202856507 112305276 172304220 1000000000000000000 464766785 95284215 71089600 298597964 1000000000000000000 342617852 258081333 33608882 211985037 1000000000000000000 987978548 760869614 777656086 346371411 1000000000000000000 530238815 40083035 63687773 336172213 1000000000000000000 635699256 55647767 179187110 303387288 1000000000000000000 841514152 338575980 626506094 541749730 1000000000000000000 937178771 912818111 544557500 521544387 1000000000000000000 333600631 128760578 67737186 118437702 1000000000000000000 632310693 305184899 334460210 379745538 1000000000000000000 308323288 105128482 139938888 282222721 1000000000000000000 91513955 67245071 66885737 33280668 1000000000000000000 750940037 644628247 717284927 457571784 1000000000000000000 202847600 146935493 157871600 38906642 1000000000000000000 667345797 276331851 480864948 534374097 1000000000000000000 831648086 488796828 674638357 236379111 1000000000000000000 180241912 46220251 125778928 77999739 1000000000000000000 492435482 283103449 270738771 385806778 1000000000000000000 839553458 561474904 119934393 810856014 1000000000000000000 857077031 304155473 787664620 565208061 1000000000000000000 964616258 518777063 114340589 923981496 1000000000000000000 810189941 578025572 433323836 678200893 1000000000000000000 376905196 11292416 26098923 256277344 1000000000000000000 30523894 5371880 23341753 25580979 1000000000000000000 9647142 633783 5866544 4079632 1000000000000000000 583251948 105932330 439619547 480081322 1000000000000000000 703502061 357148645 228554671 502889426 1000000000000000000 204278039 163975357 198621364 9783174 1000000000000000000 554571167 163727482 439406983 401079387 1000000000000000000 809599714 528480448 599106333 284435050 1000000000000000000 480145717 63964533 224755043 467723755 1000000000000000000 815801347 607023678 150511852 701019449 1000000000000000000 324816693 22208857 241992084 151619130 1000000000000000000 545736412 352390512 57445347 376571209 1000000000000000000 96652138 1065826 61166706 10366844 1000000000000000000 846044661 224366859 650147461 637199277 1000000000000000000 983836893 584181713 978050852 576549364 1000000000000000000 408121248 95484610 46300660 126340480 1000000000000000000 185212807 111921186 12152979 36389164 1000000000000000000 474608984 290556113 190574028 247193066 1000000000000000000 815957225 811940079 703713653 423413805 1000000000000000000 41525261 40724899 25350620 12161052 1000000000000000000 526112214 77997508 229376530 210650099 1000000000000000000 951517891 224844116 336378390 682018434 1000000000000000000 731022887 270373891 371037564 247558518 1000000000000000000 798623806 785323632 109986210 164710443 1000000000000000000 345906000 195529393 157068093 249172336 1000000000000000000 890193536 233926787 885379969 62288545 1000000000000000000 393457306 23127399 76045108 201528143 1000000000000000000 9151235 7151955 6373199 3941212 1000000000000000000 261725090 187114905 38767330 123991555 1000000000000000000 788718602 224700648 197780420 353811545 1000000000000000000 776543978 330707551 363359548 209334510 1000000000000000000 989703123 303890592 197933373 62036077 1000000000000000000 790482294 703519236 591306324 667878970 1000000000000000000 296792011 71978767 135172952 61003149 1000000000000000000 608153773 404864390 17402449 491345288 1000000000000000000 859920152 787771408 29657640 280408078 1000000000000000000 54419898 11909020 15838787 37977867 1000000000000000000 917593294 120289691 219824019 721546802 1000000000000000000 472959151 118960696 312400753 293963062 1000000000000000000 417860317 28417256 56661243 412093563 1000000000000000000 522148847 288676699 144599216 436726041 1000000000000000000 543685316 526798091 251472823 173459203 1000000000000000000 743024740 91156287 458711293 180269599 1000000000000000000 45999618 13769881 45057226 12031659 1000000000000000000 395813939 370112568 5165652 305858855 1000000000000000000 25187627 14749523 23141439 12550354 1000000000000000000 434576631 80861659 404026703 274396622 1000000000000000000 332828792 171504808 229928885 9806708 1000000000000000000 818409156 171337375 26960802 694938361 1000000000000000000 886281593 58051022 517689186 790294733 1000000000000000000 682277958 633555776 303784318 551428339 1000000000000000000 313311118 93994767 112587375 74425602 1000000000000000000 405498204 408734 286596749 236582217 1000000000000000000 264052124 67871401 116800292 67972193 1000000000000000000 490926879 101264637 218402269 380106753 1000000000000000000 186245330 60244068 141304033 19133820 1000000000000000000 336522785 184810467 263432158 253322952 1000000000000000000 528252022 474981629 236485941 31276128 1000000000000000000 443371090 133177651 294147619 208552619 1000000000000000000 742014215 482625411 632668318 370638775 1000000000000000000 398244258 157369477 258993544 221908438 1000000000000000000 152925813 69167547 92713718 47229595 1000000000000000000 5020201 3639135 4910678 2995666 1000000000000000000 986715126 445331733 157105508 314714110 1000000000000000000 530653329 171236862 157790668 42309129 1000000000000000000 87384983 32182639 79418904 20800615 1000000000000000000 425903598 143790666 88530476 287917513 1000000000000000000 808593711 109372824 606422802 310704640 1000000000000000000 71243427 50088268 68662885 26554165 1000000000000000000 656385877 231508785 298989327 571018920 1000000000000000000 593115183 420905057 113152168 11896956 1000000000000000000 742318241 36885430 115350385 495739006 1000000000000000000 168132553 35680574 48502762 72206674 1000000000000000000 117656737 33843985 43393805 82782757 1000000000000000000 231915946 55826622 169679235 180658491 1000000000000000000 626278163 8911092 96733855 458462193 1000000000000000000 101575554 68725297 88177 71366112 1000000000000000000 916597829 128095373 497145838 684555958 1000000000000000000 633781244 538124374 520738856 358054110 1000000000000000000 70183328 40552850 54903371 59393788 1000000000000000000 191182982 83130645 3837788 38029149 1000000000000000000 632100960 189139600 439114718 193596252 1000000000000000000 917222499 9513927 680719639 249631499 1000000000000000000 184555236 94447598 49925541 113208241 1000000000000000000 871249435 6378128 803910009 74874605 1000000000000000000 279129806 99355165 189110237 50461161 1000000000000000000 156600528 44214931 6796833 152516805 1000000000000000000 402109506 75834497 302321305 236995814 1000000000000000000 734033042 579966501 3155681 242645979 1000000000000000000 116601045 11278951 77802376 59529531 1000000000000000000 850467324 682319417 44266807 838201337 1000000000000000000 320637426 252659058 133537416 224289588 1000000000000000000 214278908 117454838 120827897 111875091 1000000000000000000 60913981 29164520 32445111 21623178 1000000000000000000 279770976 100826587 183241559 89258987 1000000000000000000 721875944 364655615 481030277 686036332 1000000000000000000 737558346 622870538 319524312 155922631 1000000000000000000 270318068 168186898 84427753 114587927 1000000000000000000 68619443 41656826 3113114 7094563 1000000000000000000 297583333 297217678 232673446 290843353 1000000000000000000 857691727 512288007 667125214 333644611 1000000000000000000 268455811 162114971 198881953 190365237 1000000000000000000 634907466 258054200 238107991 568214878 1000000000000000000 717028375 29268354 142504862 270827521 1000000000000000000 918510841 735821826 119894294 35473183 1000000000000000000 557284358 161217688 501088828 500398419 1000000000000000000 746028364 468302416 352262582 41768047 1000000000000000000 279159748 143738547 180685964 13992741 1000000000000000000 429063719 158862348 361235049 227982149 1000000000000000000 179237876 75841883 21819215 132393109 1000000000000000000 231595398 215803064 208150535 127658734 1000000000000000000 412026311 368258891 297650371 124390492 1000000000000000000 943832826 738901877 57387684 481775430 1000000000000000000 419226948 300710518 97870577 112021367 1000000000000000000 82838571 52081406 58384135 2556422 1000000000000000000 59272258 37497027 9561561 4096559 1000000000000000000 619445475 156166051 418281789 615333810 1000000000000000000 330583923 123006596 314981765 112583053 1000000000000000000 400666949 74776322 332571085 145223305 1000000000000000000 912405175 552518972 474755038 349697835 1000000000000000000 194002397 38016185 101649715 185267329 1000000000000000000 548011601 398208263 22444663 164556856 1000000000000000000 932781758 872090585 907923021 109392014 1000000000000000000 224974924 4924018 89816847 66379604 1000000000000000000 588324157 361927135 491867021 158128522 1000000000000000000 295047667 60158835 184388626 51875621 1000000000000000000 292327887 237273469 270142123 98745334 1000000000000000000 234278 145467 74443 72806 1000000000000000000 355803251 311219823 18213165 205473756 1000000000000000000 354042311 236607211 316843816 20194888 1000000000000000000 546231367 49710198 130404706 467947502 1000000000000000000 293525276 226973345 125693754 233726332 1000000000000000000 586203580 558045395 169432209 394400495 1000000000000000000 631587589 217899140 146996317 30438540 1000000000000000000 268255824 31016924 131876416 214603989 1000000000000000000 855444447 396859991 498040008 175838280 1000000000000000000 786540470 308222027 633578751 577152941 1000000000000000000 909228796 799153041 876971964 387640798 1000000000000000000 48387484 40389112 31060078 47272455 1000000000000000000 450145480 329816499 180642359 376886547 1000000000000000000 394075255 379040372 77284457 162327836 1000000000000000000 294528952 271014886 29831347 172762918 1000000000000000000 771035827 769730400 152752378 427852878 1000000000000000000 884990569 106552249 381416912 479420772 1000000000000000000 352189635 250286345 67969892 230224452 1000000000000000000 133056452 122038143 36894283 84617306 1000000000000000000 548758146 435220819 223479878 142200680 1000000000000000000 622112589 109503086 93391078 46658217 1000000000000000000 523295318 186129268 279388757 274750159 1000000000000000000 198985702 163445957 151659422 121252024 1000000000000000000 442423855 173223501 266011386 406156009 1000000000000000000 613112686 591521429 144449212 310031396 1000000000000000000 270592126 257832775 176814830 232443533 1000000000000000000 985180505 895676369 185830909 49592127 1000000000000000000 962197541 888706585 640415759 584744977 1000000000000000000 633273484 29750772 140482236 276658391 1000000000000000000 796168180 88436757 766242841 379106330 1000000000000000000 351740294 167950751 303343823 344528824 1000000000000000000 270864550 230401370 226227673 256367693 1000000000000000000 36401027 22871980 8125014 4324300 1000000000000000000 273131396 145172912 133654714 83691378 1000000000000000000 493393913 179258173 334933746 32398622 1000000000000000000 771286651 4660919 961822 144132848 1000000000000000000 87330181 43279109 64708383 23765336 1000000000000000000 972773971 400677770 221042772 684371785 1000000000000000000 124139306 28970999 35365742 19826037 1000000000000000000 71934092 65626865 40172694 24167798 1000000000000000000 517565468 252958949 65250317 93541848 1000000000000000000 146272599 100214906 73448738 77720443 1000000000000000000 828682406 710080899 696788736 590012554 1000000000000000000 549963144 296693412 488868362 127178319 1000000000000000000 211569708 159207874 66083978 76805292 1000000000000000000 637455226 619801403 122345028 541072868 1000000000000000000 716697164 610266173 680963572 121206083 1000000000000000000 362023171 214382130 75413706 129339748 1000000000000000000 364008399 161997101 142149314 212163717 1000000000000000000 702433916 142967511 317394439 373536400 1000000000000000000 947439476 85012069 805112358 5585026 1000000000000000000 750214511 348726093 298481049 394560841 1000000000000000000 838362399 547830506 746417442 409676802 1000000000000000000 66776274 45684552 62322593 15397921 1000000000000000000 356284911 353650739 355868544 258836288 1000000000000000000 10893311 9517992 9731521 7593608 1000000000000000000 433315249 390415246 212785 118325398 1000000000000000000 41741995 1695780 33488941 40699105 1000000000000000000 620337450 133197797 110455642 305094447 1000000000000000000 353443805 101108523 9415314 8349674 1000000000000000000 220331915 154940016 68697261 23092500 1000000000000000000 690761413 17075627 618250795 418671625 1000000000000000000 435504766 16721894 313117017 391646275 1000000000000000000 891852019 386246610 397210951 190598171 1000000000000000000 91630881 56465053 37493919 69114141 1000000000000000000 374997949 197580018 241372370 308838876 1000000000000000000 19005099 14652140 14568340 18076989 1000000000000000000 355507109 221567993 128953232 311483585 1000000000000000000 810217185 443844311 771560988 20909389 1000000000000000000 608871634 562263230 14499668 546262003 1000000000000000000 490618432 282079869 314353383 74847388 1000000000000000000 362195644 117848963 206425272 252185916 1000000000000000000 757887389 237345644 355325836 175708158 1000000000000000000 470288366 322162285 27245885 250004436 1000000000000000000 757536469 250437086 367281050 496140761 1000000000000000000 622260963 444859602 225242042 75743439 1000000000000000000 787763513 297039230 575985504 741299370 1000000000000000000 346949092 120166824 255670210 28029143 1000000000000000000 427459900 244482616 355871888 281021944 1000000000000000000 634234983 173691491 53683525 306124136 1000000000000000000 283181627 142952039 257952109 154953269 1000000000000000000 72574283 28474546 65640328 33390058 1000000000000000000 159888701 31386525 70701700 38756531 1000000000000000000 31746548 18554195 22228195 8119366 1000000000000000000 262287674 26836231 204661761 199708628 1000000000000000000 735373240 477463668 611679686 438342782 1000000000000000000 330430294 308550471 235111918 226941692 1000000000000000000 598591424 259023881 255116953 535447066 1000000000000000000 183150588 22261472 57394485 6064632 1000000000000000000 599085518 142354837 486537602 213975066 1000000000000000000 347574824 279225942 191996188 33152599 1000000000000000000 166753029 97564340 51729145 60209020 1000000000000000000 64274438 22125824 2126492 49905216 1000000000000000000 231627415 125847785 124638469 202096251 1000000000000000000 699346415 336764470 362876429 252864327 1000000000000000000 843239885 182875122 515554642 834391590 1000000000000000000 975412326 747714382 619035305 805625356 1000000000000000000 351323937 256575630 10152222 261834536 1000000000000000000 769221659 133595285 379317980 64233624 1000000000000000000 752708035 251447822 183611790 228014639 1000000000000000000 175696867 59960495 172360939 26800369 1000000000000000000 232832858 173903104 177252293 222984059 1000000000000000000 501269542 103755409 130055342 271574810 1000000000000000000 69180567 16635464 65402996 868541 1000000000000000000 206057636 98402807 198919538 92881878 1000000000000000000 965078471 665351150 347303208 481981255 1000000000000000000 847935352 511896318 732088021 551022208 1000000000000000000 325928520 8308584 250264719 200736842 1000000000000000000 113988447 41226149 87739368 93598565 1000000000000000000 216005091 144856714 158207530 36743145 1000000000000000000 893126211 829274550 720425927 497479795 1000000000000000000 760679228 392199591 264847383 417763086 1000000000000000000 28222899 2794173 17232573 4512945 1000000000000000000 574542407 45124299 264758975 428082093 1000000000000000000 742861818 458628610 173144920 2935714 1000000000000000000 725346594 132399860 43387322 441831982 1000000000000000000 64955068 48154706 39455869 42499981 1000000000000000000 842158880 27116813 338583325 264502426 1000000000000000000 497044843 301013836 486421537 46173074 1000000000000000000 207758657 56418154 9252159 177547558 1000000000000000000 729432779 591408575 467557335 629734827 1000000000000000000 816051756 524472613 559284177 210329506 1000000000000000000 524156785 130668348 304658260 64630274 1000000000000000000 429581838 334511192 198821903 345604776 1000000000000000000 900320380 572410145 598977507 791438394 1000000000000000000 402467648 261039397 362752619 148605325 1000000000000000000 498532685 244700776 492716976 357801345 1000000000000000000 556242476 363750454 471025952 179648856 1000000000000000000 971567152 269441752 74626551 9534162 1000000000000000000 208282989 181306862 16644280 102012530 1000000000000000000 463218109 167833538 104353321 14233668 1000000000000000000 410846560 52033099 232372959 271518812 1000000000000000000 811488786 513520304 100055916 488437824 1000000000000000000 638336882 63281288 319909991 511889757 1000000000000000000 431158174 405833727 47472315 347656428 1000000000000000000 307524129 128802316 190987661 181256978 1000000000000000000 674433824 477769604 648145035 581337433 1000000000000000000 783615253 467002067 129064807 757630072 1000000000000000000 845476396 787200847 549229559 111668535 1000000000000000000 820820762 368622136 331804008 721520144 1000000000000000000 494322239 465992920 229333497 463314127 1000000000000000000 291725901 131096873 64874508 271570623 1000000000000000000 263792144 246143090 214342492 180133417 1000000000000000000 125776735 33198684 81955656 68187549 1000000000000000000 665061873 593191446 250236562 271891351 1000000000000000000 444015613 84097979 152730431 277207903 1000000000000000000 948774904 690628437 788235578 493259739 1000000000000000000 421854248 326151178 322250098 335710199 1000000000000000000 338328600 160168587 306296617 128556255 1000000000000000000 291648044 91148737 219976443 240627446 1000000000000000000 227226788 34256569 102277565 110199237 1000000000000000000 92342767 7063306 68379875 68819861 1000000000000000000 483865510 238255294 362674728 62180454 1000000000000000000 501615668 493569188 196886146 230548389 1000000000000000000 499930128 429865847 215544895 370214115 1000000000000000000 515675542 210101956 135672395 485839056 1000000000000000000 784619268 229007467 528608504 18809341 1000000000000000000 805343448 475906598 215465547 149666634 1000000000000000000 564512962 340085633 453528232 531512821 1000000000000000000 35666399 34566824 28559177 26560980 1000000000000000000 617183641 53339269 242812613 239374890 1000000000000000000 986710793 451074049 962737492 82451644 1000000000000000000 954767374 521367439 468068281 532349998 1000000000000000000 422479978 239529262 178171804 148669219 1000000000000000000 46949409 20189597 25311082 12870289 1000000000000000000 392815348 131460679 385683368 34633237 1000000000000000000 171021573 153006078 19371425 30864597 1000000000000000000 358732667 234894515 314802141 175369914 1000000000000000000 730394251 377578849 582972670 626550034 1000000000000000000 513565939 314863168 245573544 416850709 1000000000000000000 887469234 246582401 537697633 541124761 1000000000000000000 227328409 164893221 176831422 27049825 1000000000000000000 703380151 195334385 286396384 504046852 1000000000000000000 144541099 141761632 82544455 140689408 1000000000000000000 427915093 60999615 164907232 222542273 1000000000000000000 321113831 294829529 55629293 293107719 1000000000000000000 818797741 571623450 229990280 146967987 1000000000000000000 751398952 255317571 613622299 454282150 1000000000000000000 747888672 458577887 472532853 104612630 1000000000000000000 326447409 221570298 243817395 200840061 1000000000000000000 339909953 188127372 335065384 216917887 1000000000000000000 419254700 60005342 324441190 116531722 1000000000000000000 565828782 70917386 506241332 548554861 1000000000000000000 859720156 366472456 312860972 679103060 1000000000000000000 149272379 37616149 87339504 83300571 1000000000000000000 988530695 334253623 866249447 538425068 1000000000000000000 129111024 108529469 48036303 26039163 1000000000000000000 867724942 157696762 299247864 545646145 1000000000000000000 508563583 145782218 211848419 204399748 1000000000000000000 517757062 303395238 206942637 250800793 1000000000000000000 637752791 84953389 175957865 544619614 1000000000000000000 684288701 489278589 537993663 465846466 1000000000000000000 62354975 7732821 59397957 44896841 1000000000000000000 789925953 605433051 365623211 203848834 1000000000000000000 351586259 146714330 173290220 315835857 1000000000000000000 210472324 88656997 21531337 132741746 1000000000000000000 366037123 358583453 131404356 65176949 1000000000000000000 77845240 66386945 76640633 31255935 1000000000000000000 839074762 430481373 8895632 26878259 1000000000000000000 122446593 76277355 22970282 118136311 1000000000000000000 805486609 317883653 398272365 409970001 1000000000000000000 513457561 354027051 409202009 2474528 1000000000000000000 36594019 25328109 8561169 31165837 1000000000000000000 276836289 2937101 255558076 14696894 1000000000000000000 908167115 807381327 781013251 54286746 1000000000000000000 759058436 744101214 501838416 17627791 1000000000000000000 625821906 152761946 584363133 515558366 1000000000000000000 190887319 166386070 140517478 177299769 1000000000000000000 540977013 210418310 511712963 395084657 1000000000000000000 401825202 196777309 153491139 363894180 1000000000000000000 117326396 114141440 86988460 69486678 1000000000000000000 926724727 860050762 186679848 36553660 1000000000000000000 506115225 355687399 423768740 110220262 1000000000000000000 663621750 510458522 619310801 263825444 1000000000000000000 943917986 225835278 444834257 325246775 1000000000000000000 332024281 134922753 33776129 229685644 1000000000000000000 858268491 724118350 189978521 62016646 1000000000000000000 881261092 294851466 453701616 656518466 1000000000000000000 668563676 351352868 79421123 214436996 1000000000000000000 255383396 248729058 161064654 80020695 1000000000000000000 618114898 402804977 81157086 322792682 1000000000000000000 489340297 307541121 456208760 126701180 1000000000000000000 793702050 601262515 284831680 20799108 1000000000000000000 454905218 271385256 344815122 451236851 1000000000000000000 890310027 472634261 671059564 544209276 1000000000000000000 291269368 17321919 19202591 110117004 1000000000000000000 895989978 390585886 523496947 828980801 1000000000000000000 191829465 17793426 19911260 15404808 1000000000000000000 455937224 325913880 122942920 52394759 1000000000000000000 914331712 569304688 641242949 175389913 1000000000000000000 856613057 59356621 624013582 775002910 1000000000000000000 563456039 400322087 478032588 396093048 1000000000000000000 851835705 539522409 351574021 113005736 1000000000000000000 654659897 344525560 290388369 350419727 1000000000000000000 890162149 277376105 418947711 39692266 1000000000000000000 878084454 512751483 54216575 473064648 1000000000000000000 607554003 338987032 604647 477365732 1000000000000000000 131425821 28443832 22314163 98724815 1000000000000000000 463085626 168672281 148897033 220770963 1000000000000000000 274672754 214271190 229549158 42771925 1000000000000000000 949855118 555166571 922483868 517579470 1000000000000000000 484696531 173320368 277888755 29111996 1000000000000000000 825956476 75588274 646328739 391704641 1000000000000000000 185951566 78557979 80840536 170923740 1000000000000000000 747242231 57126545 400965297 6326564 1000000000000000000 857340968 390499286 471362359 31353082 1000000000000000000 720085681 503720921 362664160 205426915 1000000000000000000 878063192 776878947 827161312 231277995 1000000000000000000 71539118 15791362 38158922 31324899 1000000000000000000 561819290 387657163 127184405 121002139 1000000000000000000 432506025 157885674 178043672 249936172 1000000000000000000 729821833 610160394 290398234 338283027 1000000000000000000 218855909 100130888 179395169 124834907 1000000000000000000 813248329 668373743 225772598 469493068 1000000000000000000 802533350 648097272 292896597 262205003 1000000000000000000 620134370 439275368 466717367 89910948 1000000000000000000 117413370 110276699 58290443 78993349 1000000000000000000 433187553 224189079 278063909 255955310 1000000000000000000 222909218 65613564 4586037 77926232 1000000000000000000 608026634 333064191 555339194 297867320 1000000000000000000 711421289 315246558 281012962 233839117 1000000000000000000 939831946 112790888 588014194 315503547 1000000000000000000 540492006 161450353 406428368 53850205 1000000000000000000 674750611 186904533 662916948 558275680 1000000000000000000 377391696 256485441 74142565 207380381 1000000000000000000 561778412 92560840 236446069 439924481 1000000000000000000 556542783 525430393 526360273 190349624 1000000000000000000 39020319 9723575 17110086 30647311 1000000000000000000 319686205 52879315 4652738 216454462 1000000000000000000 966936632 497550917 377099939 679395245 1000000000000000000 975296600 522895046 743513637 615755924 1000000000000000000 208360457 183173221 135794969 203327364 1000000000000000000 41397813 1195574 15089050 28301918 1000000000000000000 551027682 30488124 512500267 428298287 1000000000000000000 198246869 155977380 65717501 89761563 1000000000000000000 169944835 138082070 50176578 111296994 1000000000000000000 627339705 78496120 153954155 471620356 1000000000000000000 600068154 313196367 71871696 443634442 1000000000000000000 113974149 60150315 42886199 87763515 1000000000000000000 81401996 25391459 43905716 57398834 1000000000000000000 974528331 717439922 671934022 865913292 1000000000000000000 328437487 104576000 121939202 114061064 1000000000000000000 252902141 213658063 108413103 56581793 1000000000000000000 554075642 330137911 72140047 444360245 1000000000000000000 659151652 286823434 232679928 316104731 1000000000000000000 864831294 279452218 661750876 120447272 1000000000000000000 673631659 401947892 386246412 553816802 1000000000000000000 219432811 165788199 205711693 196605591 1000000000000000000 464559077 346902761 151111958 201354841 1000000000000000000 202985826 8543003 95939395 132216775 1000000000000000000 373266882 366272169 120494054 284856077 1000000000000000000 44222561 9772560 42730160 22082291 1000000000000000000 7830988 5602050 306044 3212812 1000000000000000000 909379149 535640010 530162742 682549127 1000000000000000000 371975854 238171131 333932126 248484316 1000000000000000000 440569147 359478251 408256144 209859661 1000000000000000000 404732472 401847531 378129537 324140476 1000000000000000000 311737576 85451893 20384861 18849734 1000000000000000000 835032032 661297037 567714779 304030450 1000000000000000000 23094372 5323497 20201997 22185977 1000000000000000000 328213940 119345133 245604790 232230024 1000000000000000000 121095998 35097640 34458351 82081456 1000000000000000000 936406527 112113692 911765 809170149 1000000000000000000 618186802 17627553 35651988 601362496 1000000000000000000 763181668 607156051 257960443 710902988 1000000000000000000 967234993 221519610 966718989 96887611 1000000000000000000 354658019 9562882 140999421 172283350 1000000000000000000 738728950 522508671 105824147 26046257 1000000000000000000 323009686 32636245 72923449 69578874 1000000000000000000 709786140 173399719 640489860 484444114 1000000000000000000 954209001 140706339 886544169 105303198 1000000000000000000 505919285 196078308 91714127 429051347 1000000000000000000 297569814 219752225 205489767 178132601 1000000000000000000 829206546 727312481 316189356 550741560 1000000000000000000 14822466 5058059 12466384 14229640 1000000000000000000 313895394 200436243 255181225 27656095 1000000000000000000 161281718 59859272 20822479 127647274 1000000000000000000 969716745 132455900 728160924 950327722 1000000000000000000 816137381 480637564 270616071 766931237 1000000000000000000 395260334 245364948 374040759 177168858 1000000000000000000 187498265 10367413 145981010 78267936 1000000000000000000 368861869 37600399 143261787 347472617 1000000000000000000 743651099 16374685 569027378 209193802 1000000000000000000 66341047 31978929 46072485 50712540 1000000000000000000 19618874 5898450 24782 8076296 1000000000000000000 924069414 113962965 237971779 777001286 1000000000000000000 42182514 19188255 26545925 4493320 1000000000000000000 537185049 271625950 36937085 189286307 1000000000000000000 43374147 8655736 36589893 29686712 1000000000000000000 578401839 465535016 573915219 204520696 1000000000000000000 704066219 140905719 218249130 606786100 1000000000000000000 36668757 10086451 8763220 19464205 1000000000000000000 248653365 147010840 96008350 73214266 1000000000000000000 881211334 232964878 860668574 457737189 1000000000000000000 804154100 601570304 116627970 510560001 1000000000000000000 793064037 627319659 115805935 63802947 1000000000000000000 387509234 244661045 94186983 383486714 1000000000000000000 930215170 4195328 429334506 537718782 1000000000000000000 225019617 55535385 208216292 194958537 1000000000000000000 384290741 305595954 17223357 349061461 1000000000000000000 51097040 38292019 41101741 15007418 1000000000000000000 615246080 259145712 52533827 58702278 1000000000000000000 834694883 165462565 755065347 474433920 1000000000000000000 340316107 21912605 35502390 293899646 1000000000000000000 767149863 449007014 586420579 706236080 1000000000000000000 452815264 116277934 381393689 407227824 1000000000000000000 637117683 459072133 41761727 403893160 1000000000000000000 802648748 222833963 12698767 315425415 1000000000000000000 834816999 740493774 242625857 198578373 1000000000000000000 712153700 707468667 213880801 10235524 1000000000000000000 269142548 262459507 159812931 25956181 1000000000000000000 273734412 139980978 178632242 150545507 1000000000000000000 896969889 524968419 213804102 639641565 1000000000000000000 15265968 9144311 8740335 6004906 1000000000000000000 119018103 61386471 31417216 81616376 1000000000000000000 78152021 15117511 39419216 69641939 1000000000000000000 790956860 545401163 693126816 162541001 1000000000000000000 333587741 322563512 318403347 94705177 1000000000000000000 797377859 211404611 656680598 556026850 1000000000000000000 180857942 114193826 117098639 31129976 1000000000000000000 880510328 725669745 249220422 616364942 1000000000000000000 234184970 136764413 193089149 155445869 1000000000000000000 653139424 352689187 557655363 205025834 1000000000000000000 426510595 374563722 399307155 86860835 1000000000000000000 125860553 44081543 71980278 13356099 1000000000000000000 335260143 138730982 187256997 77120650 1000000000000000000 364573967 132642728 336571482 309408494 1000000000000000000 35823957 20592415 10276698 17165414 1000000000000000000 23195774 18111058 3049738 13340210 1000000000000000000 452266517 152240606 8361543 412508889 1000000000000000000 355284643 132700740 41777935 289879766 1000000000000000000 839840180 694474682 310260239 242780605 1000000000000000000 899016995 45950161 883560590 435120854 1000000000000000000 217295850 18307490 78910330 106589706 1000000000000000000 938993639 730665555 645471138 126278988 1000000000000000000 361165714 342895758 189437485 244019478 1000000000000000000 207628738 30772683 52671474 172049393 1000000000000000000 679794043 26621715 283546899 161753969 1000000000000000000 874925402 707562792 1080649 41880887 1000000000000000000 822125126 246788435 53294520 273469652 1000000000000000000 884309750 40007789 318170033 497076775 1000000000000000000 138455339 26420706 88403664 138398758 1000000000000000000 863935909 375939896 162284707 563952948 1000000000000000000 277221611 262119760 27611975 132947363 1000000000000000000 949440022 858724656 871385506 827015177 1000000000000000000 68064514 34498148 57561809 26712430 1000000000000000000 772711562 519991364 451427872 676805025 1000000000000000000 362469138 139498034 152156166 104936817 1000000000000000000 492797925 458512581 376332812 52630163 1000000000000000000 634486681 421910027 338041969 422754561 1000000000000000000 683616037 515107732 270188323 274931481 1000000000000000000 989162078 646593499 78120527 57176787 1000000000000000000 428027760 287465086 312605118 358711441 1000000000000000000 785390955 176197125 426794279 470190814 1000000000000000000 784524827 446773036 374836287 610638058 1000000000000000000 536873022 225964034 393079178 204552889 1000000000000000000 360131009 270486936 45574892 336878981 1000000000000000000 684481425 333799311 173115247 438376236 1000000000000000000 165635619 105433420 40375524 156664112 1000000000000000000 542170425 356611516 185602914 283802124 1000000000000000000 260078232 239158822 51885812 13839224 1000000000000000000 380415062 134375138 219686000 231018421 1000000000000000000 653759676 250157661 566365204 366929293 1000000000000000000 314253953 74968451 32599592 49296894 1000000000000000000 386868890 10028539 157741905 24735065 1000000000000000000 303192815 80843310 190596799 289670476 1000000000000000000 547863691 92786145 220109773 297886935 1000000000000000000 30387549 5868857 14005161 14400645 1000000000000000000 573943538 91420619 562901638 20986006 1000000000000000000 104386372 33213544 99257387 52534742 1000000000000000000 65900466 52398741 8219089 24841481 1000000000000000000 875893663 806943040 529878130 692129747 1000000000000000000 987290767 585536675 671920436 197021294 1000000000000000000 987195200 320010802 88545584 764514715 1000000000000000000 85331337 24204270 76594007 49511500 1000000000000000000 581549977 223725379 579688945 514831702 1000000000000000000 978214719 937088044 247248900 235999399 1000000000000000000 335737612 91667310 234419171 191655997 1000000000000000000 661410556 330031840 511910207 428408348 1000000000000000000 827380097 318065304 668457349 305838053 1000000000000000000 845683606 181268259 7870484 731483178 1000000000000000000 300513885 247816330 31214423 43136926 1000000000000000000 989507737 940219574 622815128 972738696 1000000000000000000 312903888 148693737 271515613 302704110 1000000000000000000 132703062 111697476 18692839 14563106 1000000000000000000 563757949 115442695 388020057 534241974 1000000000000000000 891422566 70356874 539405496 660403138 1000000000000000000 286053044 74083238 197968835 206959265 1000000000000000000 310511020 86468216 220516510 154343462 1000000000000000000 171177203 103793585 34616158 136484355 1000000000000000000 866785059 28517999 824840870 775096898 1000000000000000000 231006919 12898663 79422143 102724254 1000000000000000000 151391121 1694622 24641985 113804715 1000000000000000000 138397510 77636924 30551272 32240575 1000000000000000000 681824834 537209861 173809421 71540224 1000000000000000000 220681639 7123905 27488082 19743544 1000000000000000000 356585432 273008270 171451109 75304981 1000000000000000000 681028058 443236187 362402447 474145476 1000000000000000000 670392252 143671246 392003188 486275901 1000000000000000000 946510251 483811601 298065764 461224197 1000000000000000000 821431347 556982266 573947542 435005228 1000000000000000000 961414338 151431930 936387080 216066064 1000000000000000000 950345747 275003210 677146148 800167781 1000000000000000000 144027712 123020549 18778903 51925968 1000000000000000000 736403007 170965215 652457417 336712977 1000000000000000000 808552647 595971893 347723967 493175707 1000000000000000000 716176788 105195846 154318906 309205437 1000000000000000000 810844995 354774748 722919783 565256848 1000000000000000000 971587877 49808493 706854521 686252294 1000000000000000000 864870115 217012054 490076349 529904183 1000000000000000000 134409628 35005107 118893380 41419845 1000000000000000000 218818717 85902546 189109817 51993173 1000000000000000000 599462526 558601562 462176324 411026454 1000000000000000000 657317257 388135308 603806584 476856402 1000000000000000000 484911129 207595560 191633646 266937688 1000000000000000000 784858964 369156039 99113363 184172372 1000000000000000000 481104093 83831865 376611288 15201473 1000000000000000000 617309545 248379940 460627478 97188228 1000000000000000000 61271089 48306265 21247135 60810477 1000000000000000000 728505273 148896174 240328890 215850324 1000000000000000000 921682499 516861761 198472362 238740399 1000000000000000000 717272104 266728085 707011753 308470132 1000000000000000000 143172827 6563750 54569128 43304463 1000000000000000000 601517569 160393236 305039101 292748856 1000000000000000000 959996822 630911802 500490097 921955380 1000000000000000000 2302408 1890832 1717060 510916 1000000000000000000 326263586 284853350 67264450 179391447 1000000000000000000 742906830 110190227 128642997 13179660 1000000000000000000 612194301 530517819 358402773 474059378 1000000000000000000 847808833 329067865 594602598 371746533 1000000000000000000 274191525 36283303 272938480 258847821 1000000000000000000 37917615 21980470 18620405 32485391 1000000000000000000 294023144 268562475 155558963 18051620 1000000000000000000 189347721 64545325 140039972 122222706 1000000000000000000 556114056 214941708 393748073 29119217 1000000000000000000 834348506 191142015 245276393 478771060 1000000000000000000 713302077 395115134 636828044 531828383 1000000000000000000 766819549 273458348 230857798 764829124 1000000000000000000 229795592 101814787 164399384 31225984 1000000000000000000 383891240 76008965 31250861 199566112 1000000000000000000 585432654 286327191 38826245 273627127 1000000000000000000 971152499 576982095 595817834 450367217 1000000000000000000 578127751 289428931 231118303 568608112 1000000000000000000 866795244 546887717 621601124 180317260 1000000000000000000 49324501 24101781 39888535 40151516 1000000000000000000 574100906 526351271 557348202 453368538 1000000000000000000 186488289 80343558 133106478 119329265 1000000000000000000 950904278 604567184 858956862 536434259 1000000000000000000 87934542 50631282 65465810 37211526 1000000000000000000 875779871 574760970 558148933 49513596 1000000000000000000 72435798 43515549 39007918 20803029 1000000000000000000 547302551 116644426 349407888 140668179 1000000000000000000 632438383 431227653 396161733 233051529 1000000000000000000 147082189 101537956 100953134 119899376 1000000000000000000 256262472 142782383 97484283 110530833 1000000000000000000 286151515 202104592 163618427 274193617 1000000000000000000 388581791 80273453 258373290 307097060 1000000000000000000 751028486 131919594 405064250 242706474 1000000000000000000 573948581 313658103 559852111 125932838 1000000000000000000 286610132 94652570 3929741 241226008 1000000000000000000 275309183 58607558 251331185 63669027 1000000000000000000 813836731 16577753 535681895 325772285 1000000000000000000 645137098 629295198 137926332 175699580 1000000000000000000 766291275 145430319 489568753 246078543 1000000000000000000 73785466 58155108 63941258 60270115 1000000000000000000 974793607 761429473 611364205 817366065 1000000000000000000 144033772 67232090 117270052 39040101 1000000000000000000 90900568 71621358 19802327 23745584 1000000000000000000 193688936 179418671 54997039 42818291 1000000000000000000 722795497 533479871 665301918 543729463 1000000000000000000 637938096 388202368 149183451 637180287 1000000000000000000 384590167 91202837 133426828 90153399 1000000000000000000 420544646 52330713 254410546 54144951 1000000000000000000 642018882 123661130 395140396 121618492 1000000000000000000 730401760 60641198 44580389 183863984 1000000000000000000 787117709 247404090 692914260 703683862 1000000000000000000 838307223 27598375 509465755 199966822 1000000000000000000 49312383 20331759 39450142 23621479 1000000000000000000 906442200 117194413 442899344 341512404 1000000000000000000 873329529 473475042 27980611 639640648 1000000000000000000 123723442 81570802 198796 108967611 1000000000000000000 809566662 398419087 48226658 627381916 1000000000000000000 353011445 103932235 218777704 234399409 1000000000000000000 741544532 572285394 49476232 535816128 1000000000000000000 955420488 826333655 446060615 419871314 1000000000000000000 241889305 188882108 15300825 76834323 1000000000000000000 754615887 473850613 286180478 357131129 1000000000000000000 298443222 67707115 203899822 45789144 1000000000000000000 427608210 1688397 190019200 422984612 1000000000000000000 191448155 158850466 57475078 62178023 1000000000000000000 700205579 411401855 180870026 288909703 1000000000000000000 674317134 333152003 121897872 601404975 1000000000000000000 6196584 4513836 1103673 62245 1000000000000000000 434625220 283261342 187539735 416902995 1000000000000000000 576366545 190413105 566615809 271588088 1000000000000000000 526479376 166226120 57013651 62880581 1000000000000000000 737347463 349389469 185351870 61491833 1000000000000000000 932365607 596440101 12015228 10656938 1000000000000000000 943942414 830951481 472467264 546114338 1000000000000000000 577936916 424205128 153305626 280589290 1000000000000000000 700294248 93521420 508487596 136708174 1000000000000000000 188342834 85089057 178439180 144401555 1000000000000000000 799125731 470232453 442290654 161711714 1000000000000000000 982222260 311847906 866364959 224231153 1000000000000000000 215887845 198889466 53643222 92001074 1000000000000000000 903812803 91843769 478846171 743447762 1000000000000000000 951880155 76629321 160583997 121314039 1000000000000000000 772916520 397639251 756180450 681674841 1000000000000000000 582479099 11491810 268875052 4569048 1000000000000000000 859399000 119017676 63567711 406073858 1000000000000000000 602058413 324324834 451378083 589141333 1000000000000000000 781295483 143344714 563820029 681842203 1000000000000000000 449249405 62751344 408680068 176652095 1000000000000000000 337139296 183601804 117524301 180917475 1000000000000000000 768250047 190487903 468350709 193179572 1000000000000000000 999472833 604630799 484955963 584043383 1000000000000000000 915005767 138030008 734656142 501745577 1000000000000000000 468547288 151149339 298036050 279431525 1000000000000000000 731910369 562545807 25550921 54272049 1000000000000000000 652469950 128548118 325782825 246589764 1000000000000000000 452787971 932442 403915347 212413203 1000000000000000000 80259652 35158249 56291636 67005757 1000000000000000000 338466575 72180672 233704120 442634 1000000000000000000 618532895 529713666 203013546 513110308 1000000000000000000 91053070 3449843 18761851 89437677 1000000000000000000 176456086 116857582 2584327 34832803 1000000000000000000 884313524 224630062 729241649 502064687 1000000000000000000 951660601 574856949 281964955 241241616 1000000000000000000 870867651 402826526 179564954 696436516 1000000000000000000 966012253 422591896 596203416 8055392 1000000000000000000 611899029 275790865 526022810 133671368 1000000000000000000 577393064 14906126 369427792 220712743 1000000000000000000 233074582 35250256 141587935 118587632 1000000000000000000 155012179 112625481 69794516 55874086 1000000000000000000 147257193 40134894 37967550 131049023 1000000000000000000 466695261 464613994 140042003 134556128 1000000000000000000 926742494 439510410 73076769 470764729 1000000000000000000 878063595 546323180 636001872 544228310 1000000000000000000 447089914 274555393 428509865 102726092 1000000000000000000 418217967 211386343 381562297 39084151 1000000000000000000 52510454 24452681 10788200 10562244 1000000000000000000 910051514 192080170 800397994 319621196 1000000000000000000 813591294 799327953 479607353 316809484 1000000000000000000 932162381 308067294 728336659 723387717 1000000000000000000 385344417 190793864 165178295 324966038 1000000000000000000 761335046 455685753 84091895 640972721 1000000000000000000 592740030 164090632 474417391 550378687 1000000000000000000 84962948 80011578 84031881 33744368 1000000000000000000 886763240 878160898 157885553 685700089 1000000000000000000 702138770 30305235 376894349 512800104 1000000000000000000 711840515 570668480 312323667 401120415 1000000000000000000 587098576 125171923 23632230 404326253 1000000000000000000 988937100 267700580 384237325 592470716 1000000000000000000 616447660 72150447 570049784 381363662 1000000000000000000 33254154 15647690 505219 12558762 1000000000000000000 151133476 95251714 82662333 65528931 1000000000000000000 921089133 807051312 692741736 323743055 1000000000000000000 839036248 425582299 781005768 708004647 1000000000000000000 910297794 6242130 306482016 792359799 1000000000000000000 733474983 561657356 585940724 694789601 1000000000000000000 628967645 463007664 515913230 372187311 1000000000000000000 10999945 6031986 3428824 10721669 1000000000000000000 169660451 37057412 31175305 92089991 1000000000000000000 656969463 379195646 456691931 60166642 1000000000000000000 292785904 18348612 103054650 7461633 1000000000000000000 408335858 364394958 383803738 126918589 1000000000000000000 414265265 362785642 326660944 362519867 1000000000000000000 504015870 50476187 496123085 64036135 1000000000000000000 199541587 71056502 135508748 35701498 1000000000000000000 942029460 116596690 292387440 641286283 1000000000000000000 145091027 27991655 18882510 111715300 1000000000000000000 375961267 203918996 50549840 330241522 1000000000000000000 540839317 12122862 311359884 491111090 1000000000000000000 216877991 60880651 42373278 38098248 1000000000000000000 812065017 378927885 615151404 331028295 1000000000000000000 611489940 366754087 456310644 165607738 1000000000000000000 554896118 283302651 276618734 441690522 1000000000000000000 307899331 124771647 46325790 23527820 1000000000000000000 737422414 21792997 712666711 129049938 1000000000000000000 745999629 707611038 496134086 248286175 1000000000000000000 384881910 201880818 315433264 152014143 1000000000000000000 540268613 448603424 326051017 532534333 1000000000000000000 583347119 498498662 319647406 249655356 1000000000000000000 335789394 303803403 182329846 139418057 1000000000000000000 549432691 420694282 352557934 542354431 1000000000000000000 972396180 969927321 796772485 383323004 1000000000000000000 433427445 55341453 46293290 300345620 1000000000000000000 111579187 77749821 6304959 17800802 1000000000000000000 11855324 10445110 1886017 8372952 1000000000000000000 307677446 91887823 115428778 232387575 1000000000000000000 964360838 593375122 434155973 58573157 1000000000000000000 49713412 24925039 19519342 40484523 1000000000000000000 342290875 3764854 92507774 172208897 1000000000000000000 98684054 36828568 39208407 83561786 1000000000000000000 65205037 55030571 30702143 41852735 1000000000000000000 555033408 424494198 538350681 132209231 1000000000000000000 332246587 205914456 182487723 115925287 1000000000000000000 324385213 292251371 317371807 67920438 1000000000000000000 534344844 364265508 178951280 126702097 1000000000000000000 880818046 336520468 506587293 19613791 1000000000000000000 777688899 291773882 424650122 684850308 1000000000000000000 379155807 189355254 83169234 60932331 1000000000000000000 482657052 217346532 445562364 448758644 1000000000000000000 35210417 11066207 16779676 3857315 1000000000000000000 549080004 542482044 237914866 516493485 1000000000000000000 514664535 33768771 437746872 384622380 1000000000000000000 963259319 926833355 119555538 520440074 1000000000000000000 543102750 396090128 203218910 79899276 1000000000000000000 741630864 362570489 101607922 221928985 1000000000000000000 660845955 296614147 435589137 375575262 1000000000000000000 190657084 158491707 30977903 157794866 1000000000000000000 968446594 295731107 509806587 663829940 1000000000000000000 292366960 183001718 83942915 264262968 1000000000000000000 873672378 698358643 295615409 11723542 1000000000000000000 997305825 188512178 714258853 276496126 1000000000000000000 735856845 386973180 426046490 624436700 1000000000000000000 525362160 396099752 32552088 326613967 1000000000000000000 776152412 189580751 204654957 223852774 1000000000000000000 218281633 185084540 188353041 127635665 1000000000000000000 469702749 327902651 144217277 171393453 1000000000000000000 251062555 193509810 46109536 72632164 1000000000000000000 211181952 124213623 57181049 18220563 1000000000000000000 135199930 65481366 32891126 14791321 1000000000000000000 197151859 66971083 59109876 187494112 1000000000000000000 628353325 285018686 495458282 73563833 1000000000000000000 688426470 42311773 28167274 509360120 1000000000000000000 739093778 629085029 102865835 369286136 1000000000000000000 604061191 440492912 135535862 217715669 1000000000000000000 281500908 101490035 227815660 208662896 1000000000000000000 782493352 247286405 137439909 338526923 1000000000000000000 468331107 427600437 252419024 290167825 1000000000000000000 879180173 763165240 348663783 467469372 1000000000000000000 547003972 518317333 528325798 351774339 1000000000000000000 917615496 799812722 30231480 406497410 1000000000000000000 970636223 59143640 898863837 921496029 1000000000000000000 512024795 332553341 299021528 340117350 1000000000000000000 635974770 428993463 376690890 28158851 1000000000000000000 726262421 184658464 76534919 113993702 1000000000000000000 109954053 55715429 23086005 64448491 1000000000000000000 834515915 72485530 250372998 409999029 1000000000000000000 248150110 218786516 131331539 55638594 1000000000000000000 624590188 619749344 145506114 316090005 1000000000000000000 143517626 7624916 99186040 63231124 1000000000000000000 228114191 129020537 15024647 206172848 1000000000000000000 318252141 211366145 42960143 285993367 1000000000000000000 20640556 14904449 3557068 227365 1000000000000000000 227855530 227448329 204238882 89360903 1000000000000000000 890602597 342109102 733473811 70097606 1000000000000000000 103128036 55808582 77864557 44188959 1000000000000000000 845982321 687533768 555745426 443446919 1000000000000000000 130250836 6933551 12571797 27275730 1000000000000000000 901199792 24463409 86871837 524788593 1000000000000000000 475139963 28257771 430215782 293550486 1000000000000000000 535350663 35567364 162614687 290930112 1000000000000000000 202890886 77369528 174818408 148877984 1000000000000000000 921766911 310337422 539408909 883130035 1000000000000000000 280692794 72996406 160667409 178855112 1000000000000000000 132235358 66476884 34948891 96145413 1000000000000000000 407650854 125954929 17694255 103360569 1000000000000000000 957654282 327370344 416934375 604867481 1000000000000000000 649540396 324201945 80556753 49461428 1000000000000000000 469351845 184773100 50232794 296776400 1000000000000000000 101978162 58470946 101716224 74972915 1000000000000000000 294249175 287996208 223007219 145017018 1000000000000000000 490277128 366660473 170873073 298151633 1000000000000000000 191768600 59719781 82723694 162210330 1000000000000000000 139377089 2661259 38052042 125803257 1000000000000000000 658588560 518635623 415161583 402177411 1000000000000000000 430770564 349533126 284684138 184762986 1000000000000000000 415553107 299395256 341529168 365846052 1000000000000000000 636700277 400938922 419144902 367269689 1000000000000000000 639068131 373798043 122638501 64533057 1000000000000000000 657239484 195916859 586271815 150825122 1000000000000000000 305519973 61300950 89189979 37761762 1000000000000000000 376283237 116049530 43837905 226771029 1000000000000000000 980674671 433567321 164228981 3504963 1000000000000000000 737880703 700269737 709857275 177035835 1000000000000000000 436298629 372936726 44167842 2800074 1000000000000000000 504315930 154006456 374691565 412933498 1000000000000000000 212215165 189460938 39365751 33307720 1000000000000000000 286319435 277182384 115445846 107296381 1000000000000000000 930651568 277488719 707460613 428318793 1000000000000000000 219548411 147912819 162120336 88334413 1000000000000000000 51595281 8533860 41521101 28318131 1000000000000000000 506185146 320219983 250043353 195330649 1000000000000000000 33048504 6448804 8555562 19583807 1000000000000000000 454771501 138426052 228264000 190678141 1000000000000000000 64946746 63648604 53639476 28564577 1000000000000000000 227671286 69725407 1290883 174171133 1000000000000000000 16879446 6298940 49122 2431693 1000000000000000000 262158959 210646671 111613761 60613635 1000000000000000000 404720760 220724205 363591960 368831421 1000000000000000000 307484384 44664595 240112550 20265015 1000000000000000000 100077529 98815403 80703379 50544777 1000000000000000000 113236829 4513488 81767348 68697204 1000000000000000000 904829652 784570458 392182120 504500090 1000000000000000000 769664695 74295126 714856837 686824389 1000000000000000000 640441046 258039489 385416816 122891761 1000000000000000000 616876363 100930203 179591830 332427010 1000000000000000000 602818244 497429682 255574275 574119110 1000000000000000000 850038474 683880734 343861302 234408944 1000000000000000000 334483216 75529302 5835855 206017243 1000000000000000000 289951068 102692343 184460715 251132166 1000000000000000000 337492898 323911413 94898531 272197662 1000000000000000000 656246958 355436376 515060660 377240005 1000000000000000000 889227109 285964314 439327884 712486851 1000000000000000000 397110316 2775529 352198256 200453412 1000000000000000000 923926607 235487840 920355378 712407802 1000000000000000000 238311698 113623307 202895892 92268190 1000000000000000000 532737871 9838933 283666345 96790691 1000000000000000000 112908872 99299927 24066253 69673558 1000000000000000000 185624334 82414538 22429454 182632272 1000000000000000000 988938686 596260383 853373540 581105359 1000000000000000000 23718945 23136866 17929269 20741381 1000000000000000000 773446474 505530760 266541286 211008730 1000000000000000000 100902614 74518687 40617844 4612999 1000000000000000000 755275517 176088430 419010857 107793062 1000000000000000000 735991169 117917111 316949516 486632882 1000000000000000000 357771372 181437534 256772740 97245598 1000000000000000000 272771190 249857210 242996866 249864530 1000000000000000000 135786369 118125193 84789311 118094048 1000000000000000000 1642941 423174 1149984 1544773 1000000000000000000 195763485 72888305 6253751 136458016 1000000000000000000 135031739 108135718 29615748 4338158 1000000000000000000 627251603 410383954 244573745 370114452 1000000000000000000 220719192 148790929 190935828 88878018 1000000000000000000 26829010 3861222 20557659 22416932 1000000000000000000 749025057 155773083 700652617 13117840 1000000000000000000 865360597 850857328 378037821 144662887 1000000000000000000 405203274 24790547 206262073 94982927 1000000000000000000 833811630 374406198 200400405 306074573 1000000000000000000 623067921 386461437 496620499 574911931 1000000000000000000 711181820 677366775 220659262 210175831 1000000000000000000 442390666 349568252 330853570 380108959 1000000000000000000 947865312 48475133 207219914 70369042 1000000000000000000 766412706 215503091 73950651 573320745 1000000000000000000 470721730 344327580 159996526 456730390 1000000000000000000 138917247 35407581 36782768 72245052 1000000000000000000 856345225 298633638 413030653 329976574 1000000000000000000 241367845 54133345 211956891 236794613 1000000000000000000 289733123 168044634 66186502 172650837 1000000000000000000 268949947 121483835 37596237 46053360 1000000000000000000 69697 42618 19794 31195 1000000000000000000 465975146 118454971 111528487 45200534 1000000000000000000 924550590 524410763 202634444 150233317 1000000000000000000 658503668 595060135 608870917 378933164 1000000000000000000 345798772 166845388 276924017 309146463 1000000000000000000 784651762 724841892 706672207 278517322 1000000000000000000 799026154 656659898 428850325 734875604 1000000000000000000 341237034 63722369 147952070 302639775 1000000000000000000 319720963 240557426 27477612 34587942 1000000000000000000 659846816 151096773 211042114 657808239 1000000000000000000 654311470 15111476 536988702 101847591 1000000000000000000 620832211 372052973 510583163 378363 1000000000000000000 52994848 37695105 28130626 39497167 1000000000000000000 159483520 34237269 146096545 90299172 1000000000000000000 614282398 404865274 386272066 434346910 1000000000000000000 562046603 92493704 337675155 29736422 1000000000000000000 689084180 446724537 502355203 455322195 1000000000000000000 397333510 394145381 211306500 21326051 1000000000000000000 920890654 98546202 378145064 896713581 1000000000000000000 570763175 286413404 279023971 305726011 1000000000000000000 488181102 419032212 101230066 429894658 1000000000000000000 859111277 687832679 724131104 324479162 1000000000000000000 624765432 342213118 539858360 272250635 1000000000000000000 85873870 79464757 990278 13562363 1000000000000000000 748782560 229873619 694595981 229517250 1000000000000000000 989844852 325698061 11801807 518022002 1000000000000000000 840840735 654848754 408137289 520963104 1000000000000000000 957523622 288808091 762097614 390264775 1000000000000000000 270883125 18438147 88482005 208533116 1000000000000000000 22457639 3855193 8877950 11139051 1000000000000000000 344657251 197415565 311794588 72814672 1000000000000000000 326448750 43768698 144121115 106247424 1000000000000000000 247283752 151238385 124469833 183439796 1000000000000000000 34923607 22597689 24921853 16221880 1000000000000000000 246544018 135454045 136060651 59503685 1000000000000000000 142528945 76670528 45979881 53567029 1000000000000000000 557845347 52444338 89908588 63188779 1000000000000000000 179615181 83010772 176454443 85793121 1000000000000000000 369393059 4585418 350348155 248293498 1000000000000000000 865892855 530044267 650311006 298262211 1000000000000000000 416255794 257618416 121662035 322171103 1000000000000000000 850504549 682448051 412144704 392768916 1000000000000000000 231179316 56703103 50216007 21858554 1000000000000000000 661138302 591272297 358733783 164356671 1000000000000000000 375998796 325289044 67289938 224106767 1000000000000000000 534344403 520781804 267215257 276779310 1000000000000000000 208455403 99626829 206730542 103066654 1000000000000000000 625237742 466625996 482734539 516098757 1000000000000000000 576283450 396745100 58047105 361762694 1000000000000000000 347634435 16219883 215139804 333319084 1000000000000000000 909605026 470199418 490071543 287215983 1000000000000000000 694376954 52280203 262886077 164600030 1000000000000000000 164761088 60372845 98130929 132410752 1000000000000000000 425537700 271394652 286527965 249853059 1000000000000000000 867742810 297724015 783597090 739816434 1000000000000000000 992842360 468918073 662484277 401680665 1000000000000000000 257715478 239981083 37949189 7952449 1000000000000000000 117630224 17550634 93107117 12353196 1000000000000000000 455047543 59744077 125229022 337474379 1000000000000000000 489428417 1282362 205359192 250654949 1000000000000000000 119939935 77038204 108758334 53025385 1000000000000000000 907125617 898877019 141588811 85807953 1000000000000000000 363084128 205747233 33864649 159449365 1000000000000000000 679878873 618706871 347036086 93908948 1000000000000000000 186184481 159100166 157485664 145207600 1000000000000000000 634275576 190087960 136697685 180595151 1000000000000000000 986018170 142260032 964216667 448191759 1000000000000000000 696193564 11985274 684423137 254546475 1000000000000000000 135162791 111579867 45864827 81591636 1000000000000000000 935706009 105432971 842665582 380531128 1000000000000000000 719360932 406612180 619791441 167951777 1000000000000000000 721014260 225210858 329862857 494736728 1000000000000000000 447092807 393561300 16327975 3836778 1000000000000000000 93897766 9460185 93862405 48501630 1000000000000000000 876836356 643444398 583137293 402316775 1000000000000000000 42291478 9514242 26742719 40603306 1000000000000000000 96192359 3978102 87790579 41819526 1000000000000000000 625221128 609042101 427566377 523013036 1000000000000000000 356286018 292366222 284552984 116564213 1000000000000000000 37369842 37109945 4856189 12768826 1000000000000000000 505641636 19622275 447640247 434159736 1000000000000000000 40267326 7662541 16118273 3965752 1000000000000000000 767400431 688903565 209951351 359573716 1000000000000000000 662930174 25301973 263260011 433269747 1000000000000000000 834993991 197221846 353802753 177250525 1000000000000000000 962191284 712202951 596950056 336720690 1000000000000000000 22015711 9240265 13798009 3614504 1000000000000000000 633957203 182753991 605710460 588924585 1000000000000000000 733496284 100204283 388463444 474350873 1000000000000000000 53365621 15458276 25806094 18835160 1000000000000000000 69397812 46860802 49154214 25306129 1000000000000000000 944840911 685432536 193692631 873078680 1000000000000000000 983723932 581778723 59268815 446487201 1000000000000000000 183245770 79638788 42386360 54684710 1000000000000000000 558731883 220782123 432839096 461048424 1000000000000000000 399522296 230996465 68155606 365606064 1000000000000000000 103586131 25167576 22402894 88452706 1000000000000000000 115528433 62308488 74223532 81185859 1000000000000000000 240781165 153418052 36911046 133947274 1000000000000000000 194754843 32881979 70926663 35741039 1000000000000000000 575746689 297354985 292172440 140429664 1000000000000000000 846586555 496391875 18050534 631162387 1000000000000000000 593420311 150645997 527266891 378490903 1000000000000000000 572934155 347771343 410335554 537318758 1000000000000000000 981475345 180666254 930489919 689811872 1000000000000000000 246378177 107497764 211820692 178568076 1000000000000000000 723176495 240442325 224799027 255451431 1000000000000000000 305274471 267230105 115722268 222987611 1000000000000000000 764460043 515630109 480599559 145577392 1000000000000000000 175009979 7482100 17135361 102339364 1000000000000000000 721908489 583632525 168184088 680829078 1000000000000000000 278323566 21718084 146027648 198632455 1000000000000000000 850424692 837400352 674709885 231400035 1000000000000000000 174870525 174166421 89949141 120350465 1000000000000000000 900259530 498060547 836052094 63331495 1000000000000000000 384593700 366989281 150593871 136316755 1000000000000000000 923461420 643987944 590441410 376195810 1000000000000000000 402272617 379164407 289396408 266258452 1000000000000000000 390448921 143819567 220362557 74618142 1000000000000000000 488075427 345443041 10612760 151648185 1000000000000000000 644810870 379412823 379708513 332721617 1000000000000000000 945666762 318106384 54468933 504369060 1000000000000000000 913377328 800396083 602084822 636320368 1000000000000000000 571976633 347393987 203973984 319195025 1000000000000000000 170320598 143760347 73914334 50832173 1000000000000000000 394195153 78272186 27408027 105134436 1000000000000000000 615856171 63375460 400375551 57034220 1000000000000000000 885741939 353160753 510047200 531306094 1000000000000000000 126385646 45352938 76083150 17375080 1000000000000000000 795362109 250889908 400097869 757910135 1000000000000000000 125023037 12300041 3330834 75550285 1000000000000000000 250723842 161540476 227426860 166644814 1000000000000000000 837420212 599613742 555606256 833842844 1000000000000000000 652174967 34927415 200517566 43345245 1000000000000000000 934302276 804520773 616000649 22197118 1000000000000000000 444984073 345150917 5042138 242615448 1000000000000000000 584121986 184616100 436389750 452525190 1000000000000000000 908465409 93302490 386392038 489889645 1000000000000000000 382212140 196883453 339122438 366502417 1000000000000000000 202257083 141917458 129952100 153768362 1000000000000000000 2416845 1194310 1767846 1222674 1000000000000000000 825880278 430052735 129279828 216465904 1000000000000000000 368535110 218745952 250409322 58296468 1000000000000000000 732812020 446763268 675395138 352050312 1000000000000000000 84439346 34874315 43952270 55458122 1000000000000000000 729707353 107304190 588516474 130269865 1000000000000000000 737235278 418958061 576999596 185016111 1000000000000000000 866971558 7463515 426824937 757862411 1000000000000000000 887622049 162798834 722117572 134295988 1000000000000000000 673124117 349432826 51013187 458286810 1000000000000000000 153165967 30572542 100710512 150567864 1000000000000000000 831379956 147146664 455322927 569715559 1000000000000000000 937345232 809332099 900962 35553673 1000000000000000000 832677254 160636159 555515017 460094668 1000000000000000000 934542315 527115279 188005972 691286436 1000000000000000000 925271147 785841774 264824443 783405429 1000000000000000000 936759421 667788897 506480869 382812530 1000000000000000000 223755803 12113671 90361175 40584768 1000000000000000000 984217478 835031788 300868030 901480645 1000000000000000000 478242401 164455327 390244184 466026040 1000000000000000000 143414820 112271617 44846902 130425139 1000000000000000000 574984558 12905636 288769975 126727462 1000000000000000000 975938450 451078095 692724785 942693205 1000000000000000000 565109039 378363936 178854075 420501320 1000000000000000000 535327430 54548003 252437773 145903927 1000000000000000000 904221010 691126832 234421312 742332566 1000000000000000000 241014844 115130962 31029629 107060125 1000000000000000000 49411718 46947883 32331217 32739184 1000000000000000000 866620885 323452756 756153164 605465694 1000000000000000000 287877426 278286294 32850235 134043348 1000000000000000000 743698864 136448368 421780825 726950286 1000000000000000000 401628887 174117573 221718766 133791004 1000000000000000000 562931982 514072006 389223773 509899440 1000000000000000000 505766290 461054162 408718346 9485477 1000000000000000000 840851444 279123591 252724713 588779799 1000000000000000000 228286346 74024545 144494627 220692709 1000000000000000000 786280450 279117682 468777712 91014910 1000000000000000000 412929119 159020752 257777834 295611249 1000000000000000000 435483625 112512516 403584425 202427127 1000000000000000000 627166335 266831908 351065455 237434998 1000000000000000000 28813030 4258225 12662702 3195944 1000000000000000000 797951378 398719966 338975424 115981742 1000000000000000000 896959978 368157096 668403978 266568713 1000000000000000000 778577218 147351963 332894761 676505487 1000000000000000000 766639038 455486941 527626018 760837572 1000000000000000000 624444467 394556087 31697761 440434751 1000000000000000000 710174828 459542321 367102699 536842698 1000000000000000000 560216023 325598134 164206868 314320141 1000000000000000000 793110595 610010650 745582265 393510182 1000000000000000000 630538953 581358365 327569209 318038366 1000000000000000000 542916210 303665410 11957863 367440729 1000000000000000000 3104932 1213919 1175215 187521 1000000000000000000 565047354 229495064 181785821 127113875 1000000000000000000 345949785 144590440 33555052 33389516 1000000000000000000 635317241 267869493 125420255 58771960 1000000000000000000 23188305 2685964 19863239 21119979 1000000000000000000 172129510 83385255 121432442 423461 1000000000000000000 690664899 194602222 471044315 121904916 1000000000000000000 546971483 458024887 411349897 229168135 1000000000000000000 238643976 145261327 66650095 168277040 1000000000000000000 785577098 650003420 693073523 738096996 1000000000000000000 512121940 245583703 37349365 269518471 1000000000000000000 140560499 130919914 15919873 49032211 1000000000000000000 451048982 376557738 389668435 89699714 1000000000000000000 564572462 256410942 540845638 260473361 1000000000000000000 187974280 171328774 147557355 66127379 1000000000000000000 64996991 17641140 25195065 49725988 1000000000000000000 206310186 191229293 141777151 110126764 1000000000000000000 953624426 85036139 633460554 423259765 1000000000000000000 367607816 340334095 274079011 269451717 1000000000000000000 741591927 371388450 471360125 219367474 1000000000000000000 23696717 12560731 20470534 1062462 1000000000000000000 861117779 179625409 323126745 240749761 1000000000000000000 932773419 752182035 621504360 919088343 1000000000000000000 671570062 259056615 406531022 15193448 1000000000000000000 591241199 258795070 293812040 117358588 1000000000000000000 493838258 447732966 433460251 79443750 1000000000000000000 259215247 232237260 69845241 122783471 1000000000000000000 807021161 416171337 158157332 730254215 1000000000000000000 273751768 183587885 241203709 247203615 1000000000000000000 608453722 589519179 139182342 190811864 1000000000000000000 689987323 467308115 59022142 88848256 1000000000000000000 92853308 26337575 49518256 40015916 1000000000000000000 266950065 142629356 240223335 83949933 1000000000000000000 919082832 146785919 620623239 479622236 1000000000000000000 428044106 234476227 194731485 337703025 1000000000000000000 191527362 51695871 137627350 84551009 1000000000000000000 796230244 129084476 326185894 653319919 1000000000000000000 198528455 196841812 108205290 14348532 1000000000000000000 575113551 18013901 391111423 497660585 1000000000000000000 142647936 97672840 55863969 15538846 1000000000000000000 788467465 765094386 786064918 266939601 1000000000000000000 561284705 482172500 357544824 93077985 1000000000000000000 1611573 195226 1401672 724069 1000000000000000000 335512381 281609587 10219630 53655465 1000000000000000000 363133225 198418248 82430492 332623190 1000000000000000000 630274673 47633070 82914694 68926979 1000000000000000000 920705389 664372840 779478297 66759171 1000000000000000000 268715314 132128161 17898219 354574 1000000000000000000 251970553 113274364 69137760 200432412 1000000000000000000 665362329 128578053 158963303 268896950 1000000000000000000 659949378 52409690 483967154 509813753 1000000000000000000 384020226 81725366 107181662 383123996 1000000000000000000 219547251 37876408 173275367 110233217 1000000000000000000 508054632 272126414 13993777 55354747 1000000000000000000 347096549 237266522 53580922 9740785 1000000000000000000 35126274 2987347 29491952 10494848 1000000000000000000 877008768 826082707 765922973 45872041 1000000000000000000 666369033 551777609 532553952 339478733 1000000000000000000 703435914 567559554 593790936 569494452 1000000000000000000 445126942 344684708 287866422 233049554 1000000000000000000 121891942 75004355 93955606 83902955 1000000000000000000 172991560 11465365 83548975 2347448 1000000000000000000 227209332 51011524 126938410 38618694 1000000000000000000 610499941 207686490 364469914 595687264 1000000000000000000 33364129 26085341 6888389 9998632 1000000000000000000 374208213 139623158 324345852 132703469 1000000000000000000 955778054 412890746 339565698 728767351 1000000000000000000 979514886 751957459 970069727 858125075 1000000000000000000 968379043 562576177 390234067 485713834 1000000000000000000 607449069 62847494 432910683 507270935 1000000000000000000 891807895 781143071 391442966 165016516 1000000000000000000 304188403 190868390 149551194 259092852 1000000000000000000 634174114 370721738 55106836 458331284 1000000000000000000 722104438 75144434 435120499 708269619 1000000000000000000 783957279 478446676 285197840 220489691 1000000000000000000 267291668 255446754 135580016 98123585 1000000000000000000 6193508 5743265 5756985 5291229 1000000000000000000 141114072 91906325 27931296 131500993 1000000000000000000 133697670 16788356 30978827 99482661 1000000000000000000 692336123 285668564 301344367 289907622 1000000000000000000 822484020 200874829 203122876 721184892 1000000000000000000 575762486 324824195 399873999 101982051 1000000000000000000 109621220 83529092 105694913 34951370 1000000000000000000 758807819 563728694 133912123 533872116 1000000000000000000 518333254 390466728 5427938 116512825 1000000000000000000 126018987 86695131 92247203 66137068 1000000000000000000 955027247 613197775 92364317 320132572 1000000000000000000 653213606 347303050 512185368 241840687 1000000000000000000 767746871 589024911 722379707 538555423 1000000000000000000 549050559 52480826 147643850 411672416 1000000000000000000 168571712 122717474 102628826 45494193 1000000000000000000 575984978 34453837 195387475 20592447 1000000000000000000 28983893 23734453 1513718 5207382 1000000000000000000 69575170 9879254 4652937 50052989 1000000000000000000 69046784 11818977 23740550 45706113 1000000000000000000 796634501 135649697 168952800 644216234 1000000000000000000 161570831 57994485 5810289 115345425 1000000000000000000 368584679 32395207 309549719 28206135 1000000000000000000 708713920 381749162 171762285 350645391 1000000000000000000 700149468 691731666 513051443 407022463 1000000000000000000 827374408 3345976 22138222 640814746 1000000000000000000 159987792 58040961 80953898 18019832 1000000000000000000 294359857 256312053 195322189 183298751 1000000000000000000 703470951 688939283 110860809 231423139 1000000000000000000 85678593 41878946 76371801 82114780 1000000000000000000 97036305 30999010 24790277 93436832 1000000000000000000 962855476 151615434 797055672 962257949 1000000000000000000 378327511 298725968 302468221 315017275 1000000000000000000 778269584 390079504 67521686 88968128 1000000000000000000 271553418 229682870 137443708 224840433 1000000000000000000 344960800 12543192 22748302 196817821 1000000000000000000 426530188 179362530 264749389 417620397 1000000000000000000 850508074 708111079 533474076 9233447 1000000000000000000 209437795 169286419 135235289 176210831 1000000000000000000 574522794 7553435 505764865 10984680 1000000000000000000 501883751 87309862 315899074 205002036 1000000000000000000 23888535 15903750 12242695 10257567 1000000000000000000 498465273 290569341 1010536 203436058 1000000000000000000 254748424 196326501 85052360 155475341 1000000000000000000 170397142 32136931 7180966 116430297 1000000000000000000 188400984 41704668 66682962 33431658 1000000000000000000 514834347 470395158 456167465 346946816 1000000000000000000 226204902 86956063 127687562 3730274 1000000000000000000 62404463 19841565 10099711 12633300 1000000000000000000 100300170 30262393 94564692 94825073 1000000000000000000 880326622 434642088 554778457 351481211 1000000000000000000 510416636 268005125 285819790 401837029 1000000000000000000 941918367 884759116 833840536 902249407 1000000000000000000 57694272 13136313 36804065 33586857 1000000000000000000 631719127 489488831 70776239 38891955 1000000000000000000 613055756 80780233 376121263 463049070 1000000000000000000 337829123 23762618 213310972 98854435 1000000000000000000 632653352 215366334 501792718 77620780 1000000000000000000 20792270 17058065 20566528 13972463 1000000000000000000 91917273 68762809 10743950 61307137 1000000000000000000 822420272 667767254 514306589 272399397 1000000000000000000 653598488 615972609 455064746 214785464 1000000000000000000 39966404 13679126 7854662 36754324 1000000000000000000 839135516 375161414 797814416 289399357 1000000000000000000 992103577 773713011 232140125 149510090 1000000000000000000 928849878 436977597 341787681 874412704 1000000000000000000 821472327 89303209 166957491 608375899 1000000000000000000 772582161 507609764 480032585 392280951 1000000000000000000 550980925 465447128 237691363 367009977 1000000000000000000 103879520 87586164 24021051 85139118 1000000000000000000 15920081 1946634 3381054 13378534 1000000000000000000 859260985 722398020 428707996 187632611 1000000000000000000 231049749 92762548 15910302 6286930 1000000000000000000 722660616 71697868 396045754 436090344 1000000000000000000 567019827 373047109 206274323 275894502 1000000000000000000 152897580 62888732 39226811 34099888 1000000000000000000 969829106 548036484 450331226 962424598 1000000000000000000 570522539 105747572 413446076 263226276 1000000000000000000 515393370 180898756 353098122 379314517 1000000000000000000 439166977 48005186 22177180 276892042 1000000000000000000 986855028 381398240 964791594 667965313 1000000000000000000 760710112 258986560 648486169 583616905 1000000000000000000 95114392 67425847 1794013 87797431 1000000000000000000 203460267 197960818 148426215 56015272 1000000000000000000 393237687 360532983 145174746 59596096 1000000000000000000 674758943 600693333 51029827 386826852 1000000000000000000 889496859 150190904 763828191 220587790 1000000000000000000 433305322 24974912 265552490 351307412 1000000000000000000 459694897 43327192 318297748 158040447 1000000000000000000 948969750 737031521 275176262 301574487 1000000000000000000 478172823 157528807 264008707 173025713 1000000000000000000 401212229 303108731 397080410 389443542 1000000000000000000 382399212 309293307 270765917 292304743 1000000000000000000 887009224 488778033 592228800 751959340 1000000000000000000 771781220 677176906 129024323 708671746 1000000000000000000 494744911 319243176 443509012 65849021 1000000000000000000 428256153 354252888 426072205 255740194 1000000000000000000 688413682 448629710 436539265 467676213 1000000000000000000 269039620 104790617 126181103 207385774 1000000000000000000 469151073 134992533 285323484 95185146 1000000000000000000 236105753 151281475 176882234 107927816 1000000000000000000 235941471 28280518 122672127 42593338 1000000000000000000 881446850 711468238 751138519 84873099 1000000000000000000 244560976 231184698 111540595 176138895 1000000000000000000 93015206 24600737 80627422 1478122 1000000000000000000 212316928 125591512 477432 9018688 1000000000000000000 52416360 37528749 34711980 7536000 1000000000000000000 749449380 330967111 522539430 100515863 1000000000000000000 270722861 188472336 201744350 165627315 1000000000000000000 275711084 156650689 233164691 270939914 1000000000000000000 278615372 58175382 61626809 275757455 1000000000000000000 550537249 532682324 537768267 256379356 1000000000000000000 970007536 754000525 648611626 2703288 1000000000000000000 754679856 24014385 656850085 507666678 1000000000000000000 281225814 74764810 139124304 117214051 1000000000000000000 977674275 12513650 606661849 895935061 1000000000000000000 636098589 258379747 305415809 519087754 1000000000000000000 512689728 161156660 298469736 498353835 1000000000000000000 920457963 31508026 79090595 689502771 1000000000000000000 145377245 65042397 128457891 132609622 1000000000000000000 174433253 101763320 75344066 87879849 1000000000000000000 447199017 81044931 107448088 53397108 1000000000000000000 495384788 86553754 35614126 379180350 1000000000000000000 838217016 744691590 603111749 346591834 1000000000000000000 439980741 157883053 434552297 415545726 1000000000000000000 830656440 386925614 76403835 748770732 1000000000000000000 1303087 642378 510877 1010895 1000000000000000000 286911964 81652529 77555328 178979083 1000000000000000000 395015418 259370545 137670994 13065629 1000000000000000000 770021168 341887093 337166362 536735543 1000000000000000000 555595885 123810722 494178302 196563966 1000000000000000000 593152591 158249949 185751125 331729691 1000000000000000000 990876400 175188488 404291456 753718252 1000000000000000000 145281759 100058122 57236630 100500202 1000000000000000000 894517722 22710315 311735128 816264703 1000000000000000000 953608015 11265252 98253729 272972152 1000000000000000000 23116252 9148317 12388898 14520370 1000000000000000000 420154256 318927488 256044274 298858867 1000000000000000000 556217303 46704369 74861334 125670674 1000000000000000000 962898479 130175310 209100134 376726242 1000000000000000000 915780812 900415459 73150344 730286013 1000000000000000000 896530948 836409695 258404004 469808248 1000000000000000000 364879248 251899652 194206508 303778902 1000000000000000000 396365607 152052241 378141097 285887794 1000000000000000000 737095186 161494664 107405895 322923325 1000000000000000000 749583682 328415222 40404772 130925582 1000000000000000000 347333520 20179124 23321956 115759735 1000000000000000000 544943177 280597493 539439613 354963342 1000000000000000000 819790685 813442612 342871290 279638277 1000000000000000000 793933740 322293011 128665722 391693127 1000000000000000000 872636090 797602611 644749878 331879566 1000000000000000000 227318951 75614168 211246688 23994049 1000000000000000000 30554724 14035819 15751301 5120919 1000000000000000000 867387854 845939109 564203315 306613403 1000000000000000000 122395929 81568874 29954082 13314947 1000000000000000000 729014191 561674850 609559486 242397276 1000000000000000000 332373591 254872247 72078011 155741332 1000000000000000000 157678210 47021380 134783784 35954650 1000000000000000000 774943857 359234420 594654732 496365105 1000000000000000000 353983135 318610797 260627805 232149402 1000000000000000000 993452815 275154711 865622913 492072171 1000000000000000000 863476017 156729685 707149915 417001553 1000000000000000000 831883792 758185438 4993334 56624162 1000000000000000000 846853773 449201806 49667332 230511376 1000000000000000000 788113750 712180571 748623851 297126859 1000000000000000000 579044282 426860146 525142694 202514762 1000000000000000000 621535605 116857509 56028821 39643514 1000000000000000000 920149212 352505996 649744845 550761011 1000000000000000000 467972563 412233721 159273165 195727452 1000000000000000000 824165552 108428812 121960560 599474379 1000000000000000000 699485404 637938056 588619858 93447246 1000000000000000000 139520258 115092115 88303137 22755443 1000000000000000000 703111963 454201082 526275144 510580963 1000000000000000000 840496475 384907572 72094540 349706357 1000000000000000000 544417561 137655322 276775835 399341648 1000000000000000000 504736505 286834998 181388314 18637561 1000000000000000000 744798360 409232084 330971359 560234746 1000000000000000000 658492175 81756905 413875161 224430139 1000000000000000000 164430908 18722765 62607454 64971730 1000000000000000000 933178301 652249416 602325887 815319496 1000000000000000000 780960561 58182514 586284588 266108039 1000000000000000000 444134191 398209388 256451666 199670679 1000000000000000000 909769426 490152036 362691014 717937991 1000000000000000000 681182147 225191723 466081669 146477031 1000000000000000000 671099620 18998361 226991946 394132539 1000000000000000000 411195540 391534093 104728535 180766538 1000000000000000000 771527608 564808173 524873227 286531292 1000000000000000000 406465897 105552709 255816390 301366958 1000000000000000000 894241705 754797334 779471073 545482308 1000000000000000000 446948224 350168323 382971044 15806464 1000000000000000000 705199088 683570894 632217695 52060447 1000000000000000000 580174815 422602031 289772110 75222703 1000000000000000000 219071060 181798090 46528743 78672999 1000000000000000000 321031986 150626027 52029832 99828245 1000000000000000000 241228644 87261488 188312786 12936218 1000000000000000000 296434471 272891509 288812239 271547400 1000000000000000000 765273173 716292649 190241800 577723238 1000000000000000000 295174092 234301586 100622170 68204875 1000000000000000000 946263617 319763899 863859026 573682885 1000000000000000000 454030636 129918124 307895574 215641832 1000000000000000000 12372212 9718198 8375549 10106058 1000000000000000000 99250914 6021224 88116074 875650 1000000000000000000 532849122 526815385 430657292 503142567 1000000000000000000 877748976 758013277 751487304 774183612 1000000000000000000 483705892 151985617 50434152 311736742 1000000000000000000 390595756 211039304 344704445 235001208 1000000000000000000 552676235 251050780 543446630 136608471 1000000000000000000 883196881 662740444 458791035 127601159 1000000000000000000 24948920 9882845 396988 10891321 1000000000000000000 198038600 194820252 188309038 37663459 1000000000000000000 114569128 11136113 31771124 112513568 1000000000000000000 859432940 230960717 692152152 628456464 1000000000000000000 158709878 4233214 67123784 33820308 1000000000000000000 484571675 377565088 200002859 103398562 1000000000000000000 602039970 305092265 316369025 549715152 1000000000000000000 71675080 4675558 8817922 18275673 1000000000000000000 257080176 96019651 162926640 45726023 1000000000000000000 837665891 593017277 310200828 397228762 1000000000000000000 959437733 186827371 434662622 55689243 1000000000000000000 208511844 35643626 103626510 34373600 1000000000000000000 332409397 28475816 80876501 112770478 1000000000000000000 278847762 168070791 3082241 195490743 1000000000000000000 742153857 480594875 358605739 38968122 1000000000000000000 160232417 138669027 103504057 141288827 1000000000000000000 45901361 37762403 511642 8516864 1000000000000000000 821228002 457875120 295704535 216547461 1000000000000000000 882588129 77279243 720352530 749898059 1000000000000000000 506411559 131105382 364763125 275868658 1000000000000000000 107644414 92818885 68159677 8479266 1000000000000000000 466533417 440163098 156359390 32118840 1000000000000000000 267318413 263009363 24876671 81079823 1000000000000000000 870627513 514180804 759167584 261417604 1000000000000000000 420469276 225630242 110490336 60621232 1000000000000000000 254187158 133891216 137232364 122423938 1000000000000000000 849094048 87761555 254798279 785157565 1000000000000000000 203799624 202958076 129206776 195431946 1000000000000000000 515221781 359887159 85324326 60755673 1000000000000000000 488471183 247619931 284508958 388619395 1000000000000000000 280380504 145859926 191723870 125412709 1000000000000000000 333049587 97905970 45673736 229971771 1000000000000000000 423221124 287538782 120663580 68381716 1000000000000000000 150683326 45257727 16587795 95944848 1000000000000000000 270726288 115261282 127570861 205538122 1000000000000000000 157591871 78609348 113884582 127038404 1000000000000000000 808908129 639937697 798657114 521696720 1000000000000000000 368329080 58233417 180107199 78493832 1000000000000000000 654679717 513224403 363698043 513018428 1000000000000000000 819427819 191649212 378625621 812054398 1000000000000000000 924692934 547785223 120589829 4270707 1000000000000000000 584274749 502681714 292801330 496078383 1000000000000000000 602088058 238331148 468886309 160785673 1000000000000000000 460545196 431988443 437873291 334982861 1000000000000000000 663747603 412470145 337336531 276792113 1000000000000000000 627706976 402264759 422191701 293446301 1000000000000000000 517075046 93683332 131781591 250512983 1000000000000000000 407886434 187837522 309689035 341300641 1000000000000000000 545848890 79819424 394457058 120617289 1000000000000000000 253790066 173310533 3002502 65395244 1000000000000000000 986174164 233784449 718161530 303031235 1000000000000000000 409462077 40736621 283602524 368101913 1000000000000000000 598790599 463990733 486862690 281252190 1000000000000000000 571752937 289838340 178102553 529089539 1000000000000000000 226776369 56318991 4807867 149121786 1000000000000000000 210955695 56300664 90504945 180795890 1000000000000000000 733257819 35639578 590353207 323277539 1000000000000000000 471084749 43286946 266080181 13650831 1000000000000000000 870571485 207285504 210112316 740308859 1000000000000000000 257374477 248466207 60453314 19418907 1000000000000000000 481314541 405127927 187221587 277359904 1000000000000000000 246206202 224007651 49302914 104741654 1000000000000000000 34731970 7345364 5881177 30289455 1000000000000000000 623273209 52211912 84287490 616499800 1000000000000000000 729308499 695857716 27028400 58682492 1000000000000000000 286565971 68888377 40182393 85863623 1000000000000000000 23692299 20568766 22884278 13061278 1000000000000000000 153188514 81217692 33014915 17301426 1000000000000000000 721797433 446846549 17646631 647748884 1000000000000000000 247438028 66581481 124628084 29255271 1000000000000000000 354986313 250062746 353675443 105089909 1000000000000000000 105220294 52011925 4343153 92038286 1000000000000000000 291156124 140951692 265332051 138826819 1000000000000000000 940849797 604175450 676104805 347026861 1000000000000000000 38317671 9537875 10073511 5157352 1000000000000000000 614084167 608892862 410411311 121954579 1000000000000000000 988269708 150876987 491475208 173643386 1000000000000000000 373591635 34611793 175722653 13305188 1000000000000000000 924918562 256171208 562357286 561845226 1000000000000000000 966722512 780324523 716461319 344171456 1000000000000000000 823921683 652376432 455833944 749823789 1000000000000000000 526385289 248353139 387097305 217195801 1000000000000000000 733583688 657484176 422925453 149174595 1000000000000000000 182830393 90878108 37200204 123930716 1000000000000000000 991961378 808476475 957871243 869607703 1000000000000000000 582528362 203149882 477276525 401401586 1000000000000000000 940369782 488072394 670608925 586756569 1000000000000000000 720755518 487134010 232452076 94492637 1000000000000000000 364343862 30359462 26290269 64726940 1000000000000000000 326454614 75498835 202325963 325543877 1000000000000000000 917280904 230974838 567410525 528550051 1000000000000000000 76545677 74095149 44766441 14192192 1000000000000000000 882374087 533192335 182412764 586944182 1000000000000000000 512686411 255989629 49613228 16352549 1000000000000000000 508407743 69088962 143316519 76436029 1000000000000000000 750241141 252742978 458446077 457139113 1000000000000000000 505549367 266953895 194792700 410988105 1000000000000000000 847471287 475674567 805778703 818566128 1000000000000000000 726577834 563248999 412353379 636091974 1000000000000000000 878522376 500055894 319544917 406273716 1000000000000000000 321207189 241703542 78831907 70079573 1000000000000000000 627584582 376777056 264820478 295747550 1000000000000000000 535372799 182254733 387295107 303913116 1000000000000000000 846408792 695342682 602029898 694891916 1000000000000000000 3446641 2524132 164373 3063865 1000000000000000000 520159699 75499049 355609683 345707632 1000000000000000000 457532513 79426376 302949096 148066427 1000000000000000000 379494228 163948537 179198930 174815151 1000000000000000000 704248977 262742709 361859663 402369390 1000000000000000000 577944296 228895052 302088511 371012433 1000000000000000000 832542058 107257184 385813788 588176418 1000000000000000000 363165805 168884825 167894839 274613647 1000000000000000000 571214988 359899879 124374261 555374179 1000000000000000000 283031357 27797929 66055928 123807278 1000000000000000000 201522290 64636670 2778859 43471577 1000000000000000000 72706375 48066219 35256507 67432300 1000000000000000000 89942790 83904132 28543944 71410004 1000000000000000000 620028147 546316603 52860930 6654952 1000000000000000000 472323379 110613952 105926106 261276041 1000000000000000000 605851507 33482915 272319390 125921733 1000000000000000000 220992861 160033128 199198597 3204557 1000000000000000000 869355992 665893083 482762515 87322949 1000000000000000000 521968044 344359877 240862737 103650356 1000000000000000000 775922409 110711704 669478921 92068684 1000000000000000000 902803121 864057190 64620455 34274389 1000000000000000000 934123305 401672344 256285470 86216221 1000000000000000000 502217251 560922 47889448 235513607 1000000000000000000 244363621 138477155 145227836 147788559 1000000000000000000 303746285 59608033 31905584 117106032 1000000000000000000 25913034 15535417 13539374 5915704 1000000000000000000 520894509 168147443 370346502 118963081 1000000000000000000 271854375 17430462 134306708 185421056 1000000000000000000 911569723 465883864 65719445 370368162 1000000000000000000 639503049 169826300 406462951 377322532 1000000000000000000 495219767 49892806 364060714 127846033 1000000000000000000 310434062 304919539 306121715 271531001 1000000000000000000 56840847 42242532 31433019 37360636 1000000000000000000 101618393 5456960 85640657 2879890 1000000000000000000 407244763 38948871 144441213 218094366 1000000000000000000 491544552 300065246 395170687 110352464 1000000000000000000 568742288 197998617 232360088 159921251 1000000000000000000 299467742 34059937 270809253 198781171 1000000000000000000 38574666 33200206 37110153 8823944 1000000000000000000 435872499 14528687 75706649 424604910 1000000000000000000 379204697 22768483 20198077 316966761 1000000000000000000 793245786 206556361 736210817 651939748 1000000000000000000 838342722 579777217 13251471 236361641 1000000000000000000 532896975 526089247 453091842 48146545 1000000000000000000 213944384 163303544 165654323 198618092 1000000000000000000 105239823 64550779 95099904 10966605 1000000000000000000 184895965 43655404 24189467 52215305 1000000000000000000 253219180 19915276 202035106 74060305 1000000000000000000 467984128 415234739 433444242 165695616 1000000000000000000 322181771 38574772 229365321 255654837 1000000000000000000 766289819 37939394 203936296 156839363 1000000000000000000 718025382 59705656 3535753 626811872 1000000000000000000 973130874 79553245 354481334 88009176 1000000000000000000 188497837 75122479 98990956 157209257 1000000000000000000 534362973 517560715 55055686 127229415 1000000000000000000 158412991 84873231 39818626 138776017 1000000000000000000 660918685 542022127 434577116 592424714 1000000000000000000 269230659 225629546 22731992 260246257 1000000000000000000 39885564 8289864 11246576 13200631 1000000000000000000 112635735 56475134 14811047 70886807 1000000000000000000 756068146 582856998 95313195 413473211 1000000000000000000 919630518 784229067 587709199 476862404 1000000000000000000 608434071 420033168 184604698 302494355 1000000000000000000 284493765 267475984 5064626 261858656 1000000000000000000 259554333 174547364 31259458 33318111 1000000000000000000 496860862 387652005 394273207 71805414 1000000000000000000 387254798 175072116 10684916 322914889 1000000000000000000 418688072 233591391 6597048 299507825 1000000000000000000 693342776 236034962 102154776 485573122 1000000000000000000 387502272 363305425 122166504 48883525 1000000000000000000 313547260 232910394 49720326 181716442 1000000000000000000 99584243 49904863 28679457 24215631 1000000000000000000 696847728 616835609 41338250 355173725 1000000000000000000 262091995 25122185 91200500 67954898 1000000000000000000 176504978 25629371 172827641 122583723 1000000000000000000 597941393 324034305 48740961 475778856 1000000000000000000 517892656 81454422 499708264 294242807 1000000000000000000 934591835 8171216 419431553 177526407 1000000000000000000 154395212 70011581 103155140 5330229 1000000000000000000 840245779 63981433 478874681 767142493 1000000000000000000 740182916 29951659 402697154 107002018 1000000000000000000 789938551 646470158 727285480 190420447 1000000000000000000 903451803 389543146 542608830 866362484 1000000000000000000 656205783 246681470 332067133 97237956 1000000000000000000 737310228 238963841 270572372 443498340 1000000000000000000 161182250 34827327 156080521 19538793 1000000000000000000 797540816 765117092 117980406 434123476 1000000000000000000 356541623 114533098 348568246 93685118 1000000000000000000 591763496 362070096 196439035 579822158 1000000000000000000 856147149 652787307 615926919 6705008 1000000000000000000 668244933 585757747 117267141 399087425 1000000000000000000 66952968 31377194 54077658 37639 1000000000000000000 570798980 110487892 270546766 165176881 1000000000000000000 536206372 245640238 271303355 528977795 1000000000000000000 891511946 18816125 368238088 334326994 1000000000000000000 573952475 272348787 40025627 494278085 1000000000000000000 924397860 732870697 409743705 554973054 1000000000000000000 582446014 239267320 274736486 542627545 1000000000000000000 706732239 452133252 522952077 300201658 1000000000000000000 321863878 71609551 222732822 60669877 1000000000000000000 921542347 585598214 765915967 528182789 1000000000000000000 692895777 120607369 319346577 307036077 1000000000000000000 299238459 14596962 274396351 216045175 1000000000000000000 544323474 119460368 128021123 25584073 1000000000000000000 619711951 415085483 28594913 283050253 1000000000000000000 574707591 133431826 534888817 11542129 1000000000000000000 354559777 321385540 254532125 230075014 1000000000000000000 39406775 835039 31534159 12884606 1000000000000000000 969104912 445492200 732330433 541816647 1000000000000000000 466576791 255272733 187876501 95591840 1000000000000000000 460195573 253761353 394782749 129433952 1000000000000000000 467452489 73029970 167239368 129845284 1000000000000000000 441755086 203092039 177091373 374112680 1000000000000000000 283820141 279693694 265359184 261417436 1000000000000000000 325505347 75735332 236722494 97089484 1000000000000000000 812793127 360137785 479058893 110688321 1000000000000000000 398012008 130335292 363454198 311877121 1000000000000000000 949187450 765727863 363459453 481517085 1000000000000000000 381708936 322488326 122332605 243553008 1000000000000000000 219314619 184364225 211269139 11768681 1000000000000000000 59244273 35504898 24256567 38407817 1000000000000000000 992541004 804296954 703490604 261160 1000000000000000000 379872163 273350156 221765182 275040003 1000000000000000000 485787183 319244198 388169544 11572622 1000000000000000000 560020389 401857850 340018166 150339785 1000000000000000000 473238173 387502050 64354006 10959012 1000000000000000000 689245586 62228306 313654140 191013023 1000000000000000000 679553520 124645877 661191262 155738326 1000000000000000000 804006262 93055445 123713650 408522378 1000000000000000000 442775641 198208267 208431170 146922795 1000000000000000000 314543492 140320377 203788617 229924122 1000000000000000000 820053647 580030067 732308309 516847635 1000000000000000000 316944933 303866200 192394441 144813979 1000000000000000000 304149309 74724781 101561473 159126316 1000000000000000000 25343400 8561814 17746713 20893805 1000000000000000000 174869684 45599673 174501103 3805761 1000000000000000000 571435395 550813622 490626286 213407027 1000000000000000000 358530133 110291803 251154002 195285776 1000000000000000000 775034278 546237138 666577384 291711062 1000000000000000000 422164594 306272574 315619771 116898997 1000000000000000000 150795959 124939887 60537233 39607033 1000000000000000000 456980355 291514662 247016446 72454620 1000000000000000000 600753066 260547623 254583650 274921409 1000000000000000000 182067925 14768873 175855261 40528733 1000000000000000000 290656727 187417543 28914304 226925347 1000000000000000000 927830258 151681225 528557597 541444809 1000000000000000000 185985059 2834655 152303968 173324918 1000000000000000000 970619871 411166372 498460864 557801477 1000000000000000000 58739275 14878673 56680793 57256664 1000000000000000000 128309444 33549591 107034526 80557749 1000000000000000000 715154009 306563678 35023534 365875119 1000000000000000000 962250598 620688087 345530384 853529800 1000000000000000000 679623899 238995393 138685433 98214789 1000000000000000000 84542053 71882334 66133353 27077152 1000000000000000000 876543999 760579852 688216511 145644294 1000000000000000000 938672322 589831127 859392377 618733819 1000000000000000000 320380215 90499846 130871856 279317735 1000000000000000000 675946642 361304359 268269686 647751957 1000000000000000000 420953443 203155285 313781707 379739481 1000000000000000000 981535546 236208071 247157169 118273690 1000000000000000000 999313839 959943428 731437553 235170973 1000000000000000000 858307669 710223551 802364113 82033733 1000000000000000000 986548320 870227258 404892196 732176793 1000000000000000000 320497186 111256103 317828404 258640431 1000000000000000000 436362309 343534440 13964947 146030281 1000000000000000000 606238807 103716558 243106308 336614091 1000000000000000000 525527180 7281782 283281910 187079543 1000000000000000000 430890213 113746276 153151699 342953994 1000000000000000000 110480300 4942695 95954461 54767787 1000000000000000000 469808364 451914425 353151366 458238640 1000000000000000000 995283359 993554148 216142734 408911040 1000000000000000000 794344581 403351074 235662986 301450696 1000000000000000000 815062451 740231258 268414406 557833806 1000000000000000000 358095917 235174536 231457265 122354327 1000000000000000000 745672948 474810548 611893746 453228501 1000000000000000000 815783050 6194464 98586066 243008925 1000000000000000000 930440241 676811438 195230960 569829218 1000000000000000000 789110071 731471120 405117257 590409302 1000000000000000000 48665133 26530898 33231182 23313230 1000000000000000000 363872684 286066253 145512975 283184341 1000000000000000000 327138674 122741624 91027028 217951916 1000000000000000000 956572030 947011500 114264408 862177327 1000000000000000000 869655269 825907829 276715646 189326664 1000000000000000000 787870051 291316305 310260951 109931416 1000000000000000000 214925211 91524989 115977268 144448551 1000000000000000000 92320479 78139560 52149143 48979948 1000000000000000000 629112000 181424886 516502187 459925196 1000000000000000000 643086680 176481195 9449508 484223911 1000000000000000000 250981372 167117832 110978587 212495965 1000000000000000000 770877117 143256508 552136269 666007500 1000000000000000000 955297403 837384551 833174375 853731080 1000000000000000000 223598409 36232607 28714669 126175449 1000000000000000000 797309270 569851082 483804217 18832828 1000000000000000000 522375609 41022111 495383614 167752006 1000000000000000000 253401373 158066476 121714860 25636366 1000000000000000000 688476887 106044530 195175336 62351443 1000000000000000000 802948587 277662890 229663252 627712985 1000000000000000000 262990985 15045172 82100368 156002389 1000000000000000000 594486566 392172968 569393545 87669996 1000000000000000000 244152640 127289997 217081774 194506959 1000000000000000000 598215563 286506300 251795182 292422093 1000000000000000000 270945396 229092892 34107583 130861062 1000000000000000000 209753493 201514090 172479103 109568381 1000000000000000000 333545705 19454946 276728797 12022161 1000000000000000000 191226952 162224701 15300764 13190005 1000000000000000000 134608024 36725668 102672154 80653969 1000000000000000000 423118297 229787368 354427696 383818673 1000000000000000000 936126193 512238421 666442654 234678700 1000000000000000000 884809375 408799705 7338276 524284470 1000000000000000000 190529617 13038982 13873133 46204517 1000000000000000000 160655167 13371592 41450938 65280234 1000000000000000000 455323629 125742136 405319549 239374611 1000000000000000000 37657253 3101226 18884767 35032940 1000000000000000000 995162276 222564712 933168347 960853909 1000000000000000000 177172618 93100792 155206469 139696873 1000000000000000000 968090549 229057139 397255383 651059681 1000000000000000000 412387914 337483039 146511835 232544956 1000000000000000000 37626203 23842027 18256217 567335 1000000000000000000 799354679 652973820 551306172 291283552 1000000000000000000 818241936 577909075 45264316 601048031 1000000000000000000 4644857 1668335 4607306 192275 1000000000000000000 640755392 412448736 1631189 404874695 1000000000000000000 543809666 143344077 56984903 233701035 1000000000000000000 499526418 345785965 476659328 428975197 1000000000000000000 399641806 310931208 353136183 81534580 1000000000000000000 939467201 191323203 402984713 461724469 1000000000000000000 556847887 187001963 169568291 314430382 1000000000000000000 71695900 65401845 25417215 42372165 1000000000000000000 257443885 10765299 248313712 228798409 1000000000000000000 820394678 173171545 59876073 188519819 1000000000000000000 91412027 54322528 82512618 6436202 1000000000000000000 778805710 523492536 438181624 395241433 1000000000000000000 645932390 562767832 423534328 292614053 1000000000000000000 806120550 258407169 166269792 224127993 1000000000000000000 587849667 560821664 43763023 79626271 1000000000000000000 323262671 96138536 38247240 73987941 1000000000000000000 460674427 113800786 171798824 359651929 1000000000000000000 803199987 335684277 16728343 327568931 1000000000000000000 580333755 450823786 99858268 112400507 1000000000000000000 322777545 24744254 197547279 222310040 1000000000000000000 429144360 202592681 156304675 402837656 1000000000000000000 808161782 397329984 125012750 502448802 1000000000000000000 239828082 40784314 52016426 24515913 1000000000000000000 647312236 399239727 287200121 105178031 1000000000000000000 118820244 83551095 105808806 4360715 1000000000000000000 253051480 223867251 166603100 55216507 1000000000000000000 691306365 244028017 61908629 261836272 1000000000000000000 273618278 58380052 110078064 117236330 1000000000000000000 672551045 187368936 208652251 131753153 1000000000000000000 814790296 190533858 394064772 45474970 1000000000000000000 392025852 325980111 171401999 348278692 1000000000000000000 253146270 24347301 97884194 218980074 1000000000000000000 23269989 19025301 2714960 12949064 1000000000000000000 927779734 477845239 157848643 411008907 1000000000000000000 223530772 154949605 1096991 134452809 1000000000000000000 307762703 161896567 119650498 155653810 1000000000000000000 20095257 14334175 13041775 12573999 1000000000000000000 743765219 199196203 333843453 469122243 1000000000000000000 857282409 517558923 811764581 505070350 1000000000000000000 738033043 388127693 728714828 58132553 1000000000000000000 36322184 5757290 7384412 12401436 1000000000000000000 181437354 177669151 51712270 142426195 1000000000000000000 9640852 4725606 4952478 8247532 1000000000000000000 161687545 150384771 110265836 147165307 1000000000000000000 234189758 159247387 222472283 37771888 1000000000000000000 348324336 239001762 145193653 268258360 1000000000000000000 231035767 137359240 52744053 39657501 1000000000000000000 512624329 393097992 68750653 155522378 1000000000000000000 498835196 424709536 327413977 211919184 1000000000000000000 344209284 84915983 329275285 312290792 1000000000000000000 540745901 239722489 365940747 422210380 1000000000000000000 528204904 47263116 345901532 364209276 1000000000000000000 994617937 488194603 668817963 479202293 1000000000000000000 942676110 643083598 88511592 217961965 1000000000000000000 589918220 91450665 549433799 384580930 1000000000000000000 45599933 32169756 40530887 37345658 1000000000000000000 339461376 96355674 30622152 9498611 1000000000000000000 337341506 183090563 306585302 39049625 1000000000000000000 569541782 4799888 279715348 256418060 1000000000000000000 991572149 276223726 723762991 618492264 1000000000000000000 721582792 633020060 137632370 140410700 1000000000000000000 729265231 470546685 118892369 720171617 1000000000000000000 849036597 230077266 373133286 710384449 1000000000000000000 697343636 313641611 526217425 660777902 1000000000000000000 15850919 8856176 969122 4276521 1000000000000000000 55492365 826959 41945384 18752782 1000000000000000000 553043169 371937326 516963936 547571432 1000000000000000000 21998347 5469443 21716968 11614869 1000000000000000000 666066526 433728068 186355494 559348528 1000000000000000000 560475871 51721982 240708899 154344213 1000000000000000000 726975412 230122449 369064907 522942822 1000000000000000000 142015919 79326842 38290613 82662397 1000000000000000000 402923537 383631996 173516912 38431159 1000000000000000000 311137800 302498040 61037882 215257182 1000000000000000000 33888880 28185902 24211307 23584557 1000000000000000000 23411239 880523 17265198 576930 1000000000000000000 243927285 212629315 139519569 125082141 1000000000000000000 147290766 128893080 50435312 61753620 1000000000000000000 690570694 469312113 217308113 487129073 1000000000000000000 309639629 197323858 43638927 232388756 1000000000000000000 133201981 57880143 109538484 89514603 1000000000000000000 278185406 52524402 30168897 209561383 1000000000000000000 203158587 63122414 43426296 111009010 1000000000000000000 520470628 92947901 474120101 150850656 1000000000000000000 879177441 741863782 410243725 677586305 1000000000000000000 957225060 241109610 228111138 353036085 1000000000000000000 22373492 11954437 16386960 10511363 1000000000000000000 552596654 124671147 491889428 389214698 1000000000000000000 46458451 3144763 27981081 45595875 1000000000000000000 652460112 29372731 624328865 642329803 1000000000000000000 335513514 267001392 197681037 307292750 1000000000000000000 888533561 598551718 614370181 593599695 1000000000000000000 501064413 50194642 80033371 114281515 1000000000000000000 724641062 126046701 629321528 494915887 1000000000000000000 377125445 305479552 45360875 225201530 1000000000000000000 552569708 389667247 504702221 287764486 1000000000000000000 968673375 36517690 469623119 535807405 1000000000000000000 644794236 631483926 153873410 589358489 1000000000000000000 479748996 8439967 313762316 439658103 1000000000000000000 10517851 4104351 627657 1716684 1000000000000000000 790725967 437187374 588019012 750126939 1000000000000000000 452844443 275207244 121419467 213662723 1000000000000000000 846781275 746454606 95610472 722395551 1000000000000000000 743249700 146299597 184771643 569309155 1000000000000000000 131419960 111294864 44778208 6132053 1000000000000000000 802907240 593554956 313116453 462482502 1000000000000000000 783823440 179102762 776928548 415727299 1000000000000000000 469066008 66686411 434887302 166331508 1000000000000000000 847204506 518770901 9608776 593774890 1000000000000000000 37056081 10991750 6556139 9907777 1000000000000000000 937985500 373478484 158229235 633168757 1000000000000000000 892048347 145922357 341710314 840116398 1000000000000000000 23984449 4459707 14050519 19769944 1000000000000000000 486020660 399594781 314209477 404574614 1000000000000000000 313146737 195435172 65199715 181017259 1000000000000000000 288244997 216013941 77257174 136159442 1000000000000000000 597086451 24660073 42371025 393625397 1000000000000000000 351344496 180214382 226411060 176895165 1000000000000000000 73174819 62537772 15062255 5470640 1000000000000000000 580888281 125931101 314619525 435413917 1000000000000000000 546343230 251225398 150530192 326437618 1000000000000000000 44669914 29247458 23323282 6541029 1000000000000000000 267199498 27364120 73798936 222458786 1000000000000000000 290396261 67949170 200236529 81462371 1000000000000000000 121910606 316267 102673160 49263102 1000000000000000000 40531148 28660644 12223342 21968516 1000000000000000000 348794379 185590332 52702696 144814504 1000000000000000000 766783171 44487903 257078404 440624597 1000000000000000000 199889024 57605078 53372769 156287820 1000000000000000000 683617490 351257606 413275124 78018986 1000000000000000000 164248250 137728286 104552670 112695374 1000000000000000000 889968825 728434361 1216114 740788343 1000000000000000000 996348070 448355673 522512577 779503526 1000000000000000000 360041561 354301628 301775131 73375665 1000000000000000000 652349264 132801624 200098472 635887984 1000000000000000000 103891112 94495630 39527049 87917652 1000000000000000000 981651929 697456472 176349868 487235510 1000000000000000000 155892517 45605389 116433069 13684913 1000000000000000000 691537887 492343031 282162224 683447092 1000000000000000000 697450645 676113538 437810377 499271887 1000000000000000000 622298971 276557258 221447986 238052797 1000000000000000000 177941690 127936672 174123535 26842955 1000000000000000000 251687299 99650542 16123897 129860256 1000000000000000000 612504473 542236366 491792697 560822415 1000000000000000000 427963634 104908286 160905212 268417052 1000000000000000000 872785257 119707636 814708369 826752488 1000000000000000000 76564450 61546245 58238238 21093295 1000000000000000000 591283887 440229757 113869409 397372777 1000000000000000000 95744242 75812190 12924613 24582227 1000000000000000000 171019081 123905424 149158932 159146872 1000000000000000000 725492956 422303436 460358757 683076537 1000000000000000000 25415775 16632634 21288402 20138565 1000000000000000000 764889160 653386466 133071654 558734436 1000000000000000000 493724329 6113025 308246032 310705039 1000000000000000000 8727051 2908260 3144068 8277605 1000000000000000000 826894641 777022317 22291104 79815097 1000000000000000000 541581354 214149508 365818721 536722573 1000000000000000000 351243738 316246411 155417841 205524548 1000000000000000000 624029647 521160405 552929748 240554472 1000000000000000000 55232529 34130471 41527336 43270707 1000000000000000000 480562940 279431174 189476608 4516654 1000000000000000000 1761961 232215 1604338 173982 1000000000000000000 427354423 64179402 168964200 100969200 1000000000000000000 253968185 204873266 64593180 38208461 1000000000000000000 246883541 35300275 132301550 29923604 1000000000000000000 171063678 95549859 153012609 9486137 1000000000000000000 134928194 86493631 130767637 123207422 1000000000000000000 539106772 166797575 30733546 303650773 1000000000000000000 113441152 28202365 52433860 111569518 1000000000000000000 497632903 342005499 118342790 189837880 1000000000000000000 419044369 10957005 321147316 160467558 1000000000000000000 985151415 781679294 15298498 75686641 1000000000000000000 679001085 411983489 471488085 657407424 1000000000000000000 904505828 801184057 541472546 901537450 1000000000000000000 160682891 1201475 26461409 72482084 1000000000000000000 695114169 645430090 628030953 185760481 1000000000000000000 512785368 180746300 59798421 408850230 1000000000000000000 40057136 12139336 12516300 27039004 1000000000000000000 251069600 101252308 200578106 89406524 1000000000000000000 799885696 547877231 478592856 365821517 1000000000000000000 206948795 199695101 40405487 124154804 1000000000000000000 114650997 66683529 51401834 107998779 1000000000000000000 825703262 733541279 725441074 247154039 1000000000000000000 154326457 29297957 101099085 109750091 1000000000000000000 505128427 236000932 239188359 441035692 1000000000000000000 223718316 119055023 77352515 22880577 1000000000000000000 91288995 90669342 74951657 13012215 1000000000000000000 73567354 56286696 9884119 2004408 1000000000000000000 882622715 811337575 750750356 763608866 1000000000000000000 613733629 193326248 316818507 61370390 1000000000000000000 892416046 22787233 305308019 264088609 1000000000000000000 568538557 348728555 154942804 184849139 1000000000000000000 28724237 26253418 15471068 16145358 1000000000000000000 12878118 12237832 11855437 6970206 1000000000000000000 556848559 429198276 266414727 103918325 1000000000000000000 589004910 544461964 99426310 352562659 1000000000000000000 678960711 96172083 240332780 225509075 1000000000000000000 549111233 73952513 19190877 167514070 1000000000000000000 16988270 7097603 2530898 13869195 1000000000000000000 664108167 343786663 139341535 158686919 1000000000000000000 488161226 314688264 116293974 91232267 1000000000000000000 373190041 275998354 124402498 142046458 1000000000000000000 319733576 193676886 249740016 181636284 1000000000000000000 647889799 69053572 31080086 114600882 1000000000000000000 902187056 366915185 611309341 711330339 1000000000000000000 209509444 93009232 16523535 120869589 1000000000000000000 559676865 190728484 3922553 296971970 1000000000000000000 842994498 762321397 613454140 490181609 1000000000000000000 163714327 160321735 83853119 6994242 1000000000000000000 64855143 42426763 32022437 1790919 1000000000000000000 109173591 103819839 12902340 57414544 1000000000000000000 465499820 4655215 48247652 239275985 1000000000000000000 551124823 327071895 98769345 106536451 1000000000000000000 542189327 369143610 150067509 75662460 1000000000000000000 552272826 93630517 365985177 459447332 1000000000000000000 210583354 180100032 43550012 91529930 1000000000000000000 627221157 260237456 466834073 12948647 1000000000000000000 748533346 21498047 611752827 76109293 1000000000000000000 574472616 572498310 357961002 308590153 1000000000000000000 560252033 96651478 142775064 409186578 1000000000000000000 491488548 134020866 123089992 93718899 1000000000000000000 592765667 468108487 302809405 295407531 1000000000000000000 432743983 397607887 19897981 160470111 1000000000000000000 3545047 1323870 800231 1564999 1000000000000000000 574137164 523082238 386773518 543653573 1000000000000000000 369172770 292945534 41327059 147274617 1000000000000000000 53709553 954974 693456 26890953 1000000000000000000 924898395 211334146 886284628 688945508 1000000000000000000 339621127 129103262 195823835 92024753 1000000000000000000 107210497 8762782 25407232 58795263 1000000000000000000 816992189 462479395 497833692 406559184 1000000000000000000 40362632 9169005 24261737 21971651 1000000000000000000 98299192 97329499 88450160 94155239 1000000000000000000 600526964 367614790 247046931 531785990 1000000000000000000 254258182 40584053 249807569 116412086 1000000000000000000 764881321 274798731 757681134 304588768 1000000000000000000 905739264 53658968 901394480 573110736 1000000000000000000 849884911 533084531 659395690 641349937 1000000000000000000 589726135 151221274 251530718 330828866 1000000000000000000 519863963 464398771 441833229 110331142 1000000000000000000 55832504 18793979 27376507 17851529 1000000000000000000 408114435 380351055 113404140 142473212 1000000000000000000 10551846 7245806 1675132 1796390 1000000000000000000 906413884 670361724 207966125 861323570 1000000000000000000 314554950 114501068 126343885 60756607 1000000000000000000 797918216 466643166 753148300 709294027 1000000000000000000 333365249 181689432 209829947 290617952 1000000000000000000 786782356 76379833 749000833 447480906 1000000000000000000 135732662 41315907 130234506 104380594 1000000000000000000 277655438 130504723 110258688 265484018 1000000000000000000 598176664 170568076 551923525 563076552 1000000000000000000 586968735 362169283 269899650 401056354 1000000000000000000 326734434 57004294 148983184 192074732 1000000000000000000 77734190 20285962 43083690 49420724 1000000000000000000 21484867 14370422 2973522 12193176 1000000000000000000 746237748 77251096 584655847 359577073 1000000000000000000 824642881 597626251 756026946 185894397 1000000000000000000 615047418 541597471 10660786 601274690 1000000000000000000 784162500 339722454 381497041 190720258 1000000000000000000 346585190 265779110 23828441 70352719 1000000000000000000 936797211 74453863 140723757 841485373 1000000000000000000 846099820 517263965 364794981 762904572 1000000000000000000 235887049 121134598 197495269 188032944 1000000000000000000 257988559 157914991 75359409 116783268 1000000000000000000 327828585 315486357 233140243 152607122 1000000000000000000 963866063 835653419 781501814 357853094 1000000000000000000 516632346 418819869 490558148 110038288 1000000000000000000 667048801 146060559 291706403 271445810 1000000000000000000 217297489 154609054 106241576 159532102 1000000000000000000 84471614 33678716 10246937 74986642 1000000000000000000 347520001 217517624 92226936 216265061 1000000000000000000 668451965 180599533 202179840 526058139 1000000000000000000 798660185 78887067 114350239 538022875 1000000000000000000 572572190 386214828 411785245 260848769 1000000000000000000 944831414 438294835 414786933 679056674 1000000000000000000 543918657 340482967 19586123 286366189 1000000000000000000 140230990 126380053 112555267 19994187 1000000000000000000 338931717 162278745 119025845 186812434 1000000000000000000 284726901 63757704 16292772 270349028 1000000000000000000 981447935 279683632 329385962 310454832 1000000000000000000 879784107 775635129 603787463 803345758 1000000000000000000 154061413 105019288 143676559 30572572 1000000000000000000 908842199 719312831 148425319 362490332 1000000000000000000 247493428 28218195 135451605 233983638 1000000000000000000 451478290 319193737 170539577 290428527 1000000000000000000 509547874 168424573 104932719 59538841 1000000000000000000 295709524 280840103 146017173 206995794 1000000000000000000 244859538 94042036 151420265 87783613 1000000000000000000 861146095 390843360 641250916 283483886 1000000000000000000 238492599 111188104 130290546 182525948 1000000000000000000 810006238 232183083 563602701 742797049 1000000000000000000 458758759 224166766 298069613 450220542 1000000000000000000 208180062 177998368 155189732 135468842 1000000000000000000 102835291 73131064 53190813 55301696 1000000000000000000 475645135 271632518 60371821 329757317 1000000000000000000 968458290 439017677 550492507 864665988 1000000000000000000 448917422 36314244 299231346 442907562 1000000000000000000 622052472 332520194 287613760 580772258 1000000000000000000 88001413 45828895 64715066 45022990 1000000000000000000 333711006 326785843 36047331 287383392 1000000000000000000 655621421 236128764 604018585 314624119 1000000000000000000 875756617 380425919 80381785 804491195 1000000000000000000 314771682 122642257 298950881 205909244 1000000000000000000 360957138 107398218 227523753 188319221 1000000000000000000 852058716 136248559 470484077 648458084 1000000000000000000 523029746 340681128 447341186 441452196 1000000000000000000 398868767 250493329 176485048 327459175 1000000000000000000 782962583 431901675 126731745 593856459 1000000000000000000 104280450 59383439 89267410 13548155 1000000000000000000 257117283 31432720 125951891 110252692 1000000000000000000 29817720 24072421 1447161 7198055 1000000000000000000 6591852 1309411 3895164 1643572 1000000000000000000 425212332 52466916 152508132 178709175 1000000000000000000 121365341 112117731 50109767 14891590 1000000000000000000 766860642 630247688 496861040 110604448 1000000000000000000 156262172 45724461 148641130 107391628 1000000000000000000 430089019 287051806 321482493 47342772 1000000000000000000 768057651 693525030 147103238 362807835 1000000000000000000 782611068 596682731 541457246 555396188 1000000000000000000 613221759 463511920 492050895 54002938 1000000000000000000 922497624 121240385 27909751 337509161 1000000000000000000 569366541 498820870 488034923 236675171 1000000000000000000 870877215 559231539 846568046 680433297 1000000000000000000 511164325 260325002 472583265 150595070 1000000000000000000 138038892 55996709 34917082 40456466 1000000000000000000 680332928 102611573 616431197 544768895 1000000000000000000 289590924 74286161 41183757 63252332 1000000000000000000 773747374 20209893 405853047 186338387 1000000000000000000 779925921 655117113 524731939 152383730 1000000000000000000 127880194 11300811 61640855 57155146 1000000000000000000 617315773 56979566 104600900 322126279 1000000000000000000 115239462 56388961 97331805 71547108 1000000000000000000 649131462 291957868 554279119 338137743 1000000000000000000 139397008 29120944 27443375 58815919 1000000000000000000 163270345 87089332 105702662 74893315 1000000000000000000 816671464 174519652 327336823 515807960 1000000000000000000 176688839 82965917 88786941 117381731 1000000000000000000 584631258 72169637 325310262 459136687 1000000000000000000 198752063 55320099 133323732 66087537 1000000000000000000 914677803 575765220 115709122 909709447 1000000000000000000 987360340 172867223 508790418 296464763 1000000000000000000 913467987 562593926 113992679 16917277 1000000000000000000 856106918 461964615 96031034 234520561 1000000000000000000 562530329 454442301 409344737 319971339 1000000000000000000 900819482 445427441 510581284 160534611 1000000000000000000 761704794 83915173 274522510 34930200 1000000000000000000 605526831 246924466 77458599 126382640 1000000000000000000 951663138 71329764 883879828 882816537 1000000000000000000 83546209 58197631 25235793 25662862 1000000000000000000 692972846 530318269 137796251 491744430 1000000000000000000 321245039 245617486 290254925 20840084 1000000000000000000 908047417 382469854 271600672 791468735 1000000000000000000 989479622 267077059 520002224 544494122 1000000000000000000 263361056 230128885 40091903 74529701 1000000000000000000 275100778 254111177 16293500 55458725 1000000000000000000 195156173 77556004 75877574 136656105 1000000000000000000 432057538 347417185 61138511 185317546 1000000000000000000 819547837 410483988 547336134 627411661 1000000000000000000 641354146 521018398 339859066 639526147 1000000000000000000 907793773 516405257 417219802 358885188 1000000000000000000 167670376 60114990 141952376 33447129 1000000000000000000 96174561 22434207 78227933 38311782 1000000000000000000 477607248 81423723 208293262 420780993 1000000000000000000 84302130 29147910 36703299 67416877 1000000000000000000 69416275 44958962 61069446 67078748 1000000000000000000 435875832 207123002 129211692 66796149 1000000000000000000 949829073 94292734 217021924 618315578 1000000000000000000 52438620 16705438 14490002 12882310 1000000000000000000 878519653 240625821 99785181 815866150 1000000000000000000 184846638 20798596 89211237 133398424 1000000000000000000 548453417 455338477 250596962 73188078 1000000000000000000 803788736 335571807 34897345 229220827 1000000000000000000 399952015 80256694 299584139 66847460 1000000000000000000 22179752 9719173 21846517 21627561 1000000000000000000 775596724 455370993 512288503 128217718 1000000000000000000 324395290 160552354 109163042 115516430 1000000000000000000 451338038 6908390 233442236 195788336 1000000000000000000 315871652 266392953 237207894 211161698 1000000000000000000 667053264 664711300 144889226 624023951 1000000000000000000 696972622 346386340 526754240 240654924 1000000000000000000 439113129 366339153 276453360 20816428 1000000000000000000 430222825 203984722 34833819 206523370 1000000000000000000 308871716 211839697 162948338 245521480 1000000000000000000 441562587 232217340 148588894 146100847 1000000000000000000 591559626 280770369 580693935 205674616 1000000000000000000 371020001 75364918 363386672 189340977 1000000000000000000 618100613 141622690 103952690 412245259 1000000000000000000 335353597 24900034 101098708 122720235 1000000000000000000 97072314 2767435 32820327 67918900 1000000000000000000 107949597 38155549 51940555 29993103 1000000000000000000 479555614 430121200 116776582 39775326 1000000000000000000 611315037 353798632 195033926 373292749 1000000000000000000 841324191 181660416 631683012 157978104 1000000000000000000 535709774 416144474 303002116 108835280 1000000000000000000 360171048 218732739 122866147 84315491 1000000000000000000 786341078 171193760 350041641 654198900 1000000000000000000 296003880 186738033 54782216 84153469 1000000000000000000 808257012 348672805 67127737 670728760 1000000000000000000 175106594 25094546 104364352 62399577 1000000000000000000 587686663 468727725 397017042 181624034 1000000000000000000 642467514 433085230 65069846 144537688 1000000000000000000 664472967 162241921 291994428 159482423 1000000000000000000 401242039 139273233 387068622 292925812 1000000000000000000 160005887 47592293 154006619 120659393 1000000000000000000 952033631 477030563 564304860 702195293 1000000000000000000 908668404 596392385 692333923 783903113 1000000000000000000 934887777 370141809 166114502 582342985 1000000000000000000 45557721 5810310 25721869 363538 1000000000000000000 840742162 34981416 194400998 336817424 1000000000000000000 605164237 175349627 439280637 10595221 1000000000000000000 915292849 914356473 417805494 661855432 1000000000000000000 676912345 668786978 483923591 388777733 1000000000000000000 706763242 697345866 673692593 537091409 1000000000000000000 831825650 242478298 362762270 445040377 1000000000000000000 376465951 22473388 51074800 84312350 1000000000000000000 100037213 60423754 20080096 22303730 1000000000000000000 789266439 528014461 700676949 672701500 1000000000000000000 14951124 3907516 11077122 3520720 1000000000000000000 413530968 378082893 370955926 269796830 1000000000000000000 787919555 138187539 28178660 144092701 1000000000000000000 566366851 563109573 201019314 457518904 1000000000000000000 100457725 31534622 45937797 98726521 1000000000000000000 271465447 113643644 114207065 143664403 1000000000000000000 913286834 395399948 737820267 451220386 1000000000000000000 835860035 498644008 830430977 537252490 1000000000000000000 263521671 242709120 3655667 184045394 1000000000000000000 698007922 309443421 497261450 595666912 1000000000000000000 428571073 124464489 194944199 191697968 1000000000000000000 355033253 60987414 277215102 41798293 1000000000000000000 100726145 36609277 92593110 55560803 1000000000000000000 176048556 16792981 64521448 58230499 1000000000000000000 535952653 369739531 526638087 172693078 1000000000000000000 925641976 115081042 615324565 376439802 1000000000000000000 622928796 355465919 305438545 502375533 1000000000000000000 346288142 118300074 74982862 223779348 1000000000000000000 91010201 34022413 23463134 83850982 1000000000000000000 530423333 166450663 79847055 433382004 1000000000000000000 974209441 652561781 192051708 439013146 1000000000000000000 890820302 768691032 335664668 73209862 1000000000000000000 118039397 43958992 2091562 50311510 1000000000000000000 419544824 130546643 138068016 32408264 1000000000000000000 994437078 818959440 282491304 284865632 1000000000000000000 869246462 44239348 92827339 426691719 1000000000000000000 794338105 726118949 769103462 637822580 1000000000000000000 630423880 446306419 323681191 2751624 1000000000000000000 364363482 302044225 193763383 195356543 1000000000000000000 160222982 52352870 27571073 49898851 1000000000000000000 587358053 400001121 490696093 261038487 1000000000000000000 463208053 402441662 281792640 423194083 1000000000000000000 810088204 718585467 128378736 520661979 1000000000000000000 642013631 378713138 469871631 461317208 1000000000000000000 837249316 89257626 478958630 651503113 1000000000000000000 441655050 155653996 383264142 323719688 1000000000000000000 481686771 112674373 429532394 84116654 1000000000000000000 492918338 112849355 459654684 46022494 1000000000000000000 70531232 17545557 63151402 35568024 1000000000000000000 894575853 28953427 847085242 296074476 1000000000000000000 605693058 92678178 541351859 350341509 1000000000000000000 496151706 20351819 398275552 117787140 1000000000000000000 83422270 22354809 30883584 28763197 1000000000000000000 715811631 107804684 494430939 689425338 1000000000000000000 212360186 30942459 150934372 43128955 1000000000000000000 167085144 102851427 111145932 140889043 1000000000000000000 554555641 142098122 147718902 488926488 1000000000000000000 197738743 21156754 100365728 108040936 1000000000000000000 965401127 494794656 333029854 225426276 1000000000000000000 132124437 62955365 31696481 118727777 1000000000000000000 881386255 429485174 676105347 263275105 1000000000000000000 316403366 169011414 137182638 210310219 1000000000000000000 678313905 561904112 79113157 169570400 1000000000000000000 690323975 387082348 399613079 271956112 1000000000000000000 836479317 675682798 392438497 152758274 1000000000000000000 1204965 1009082 762807 575701 1000000000000000000 212231707 143083866 147720871 208511860 1000000000000000000 179620792 58514646 39103196 120730454 1000000000000000000 234074867 181642554 97286099 219303094 1000000000000000000 62832074 14090197 273012 29249435 1000000000000000000 892163126 348181650 286099600 113962708 1000000000000000000 83036972 57175426 80357663 32095507 1000000000000000000 771390334 567609847 373281877 421352390 1000000000000000000 771284036 20219220 503538506 395483200 1000000000000000000 853494310 706214929 172430806 36365904 1000000000000000000 612466349 245067439 509140062 101839023 1000000000000000000 53051503 1425691 35978811 34924768 1000000000000000000 137590033 59717053 53049325 131191499 1000000000000000000 415487975 89956989 127690943 44099864 1000000000000000000 77874551 62981551 32517670 49879969 1000000000000000000 496996205 299485156 91490867 128400553 1000000000000000000 613715839 208962239 80961251 328056487 1000000000000000000 208355124 157821781 182715628 100030771 1000000000000000000 13128519 8575116 1779336 7649057 1000000000000000000 387623538 294125317 337033518 173093396 1000000000000000000 281685121 279042185 194070380 11002170 1000000000000000000 897932125 309898853 579842522 454929212 1000000000000000000 355229175 335469893 226870125 8696016 1000000000000000000 20218518 6792143 19868099 15567854 1000000000000000000 640122981 565344107 71921696 246772194 1000000000000000000 638878984 223437698 379310852 556169667 1000000000000000000 221332492 130083126 189285560 58989275 1000000000000000000 98590971 95752322 93240960 37253772 1000000000000000000 26113022 1718565 18913705 1069201 1000000000000000000 542975755 492574530 296405167 517305966 1000000000000000000 532551001 504831558 361518175 191631504 1000000000000000000 567806169 519210808 393987299 183555299 1000000000000000000 589031685 393597830 275362094 82198342 1000000000000000000 567596100 132875419 30994881 302536210 1000000000000000000 112794226 16077560 74162059 28891942 1000000000000000000 799081669 333462253 660059460 485680630 1000000000000000000 252007128 193316730 144740436 105722898 1000000000000000000 497426834 215318377 210590721 282710393 1000000000000000000 434350881 336175153 415429660 2633457 1000000000000000000 619206650 453591385 39564078 475541136 1000000000000000000 415831976 294539956 84708029 349230414 1000000000000000000 10199712 5296854 640527 7613529 1000000000000000000 962102822 343401374 148068235 606214082 1000000000000000000 565989262 477704031 376677902 522825976 1000000000000000000 614617704 432701026 416310371 119917569 1000000000000000000 744144592 678461684 66167562 623898181 1000000000000000000 595743767 556202742 286142139 78295864 1000000000000000000 654606927 1801560 421514818 299030562 1000000000000000000 606193518 305687110 442406396 328880757 1000000000000000000 677949037 50969817 227336552 488700110 1000000000000000000 608908427 230272520 98034242 538464480 1000000000000000000 96888830 71082063 31741142 63320540 1000000000000000000 86576671 15459989 76106850 26845354 1000000000000000000 340221467 69195802 317566910 4699380 1000000000000000000 193845791 151917933 23813762 54120162 1000000000000000000 276888318 61184067 263603157 223559399 1000000000000000000 778663549 266460995 765095355 767146154 1000000000000000000 425530708 73757503 101841271 194199548 1000000000000000000 218232257 144783161 192199319 4270163 1000000000000000000 408837043 378238667 349258882 163773309 1000000000000000000 453336246 421153581 148347851 356561197 1000000000000000000 558489899 52745477 177536869 349319414 1000000000000000000 9269053 6797266 7700353 6053991 1000000000000000000 323548803 104612428 212963509 319923357 1000000000000000000 45968710 39684266 41213026 25222792 1000000000000000000 913134443 276947540 249808433 493952474 1000000000000000000 84475086 44028450 62290992 79815200 1000000000000000000 808730282 657308336 665248451 432330069 1000000000000000000 357284736 171056143 19733421 40530181 1000000000000000000 310559844 113253960 263612430 237255147 1000000000000000000 682747877 240088621 44866458 490258622 1000000000000000000 390332909 349576458 105330632 197244041 1000000000000000000 495826497 170459707 98312019 52858200 1000000000000000000 609739851 439030807 259230566 519097049 1000000000000000000 72447480 46198529 67018327 4870977 1000000000000000000 212301238 33855304 194697583 69323540 1000000000000000000 153662581 76978479 112721775 18372241 1000000000000000000 355537679 250532965 47138830 99321630 1000000000000000000 724519577 505927521 434663422 555200371 1000000000000000000 305333437 279671686 128163233 269618911 1000000000000000000 379066270 130432062 255843264 285043240 1000000000000000000 370355875 20563194 70363128 112019772 1000000000000000000 445690775 107966012 264703867 277775524 1000000000000000000 964869702 572606816 127887608 850877645 1000000000000000000 828644302 466987023 710977623 549677422 1000000000000000000 891997177 386180341 797741163 579512629 1000000000000000000 308751967 3502352 122530940 141544980 1000000000000000000 387915916 374510203 283151900 342012341 1000000000000000000 657652818 435628311 329521253 587326639 1000000000000000000 426669843 193021873 149866174 90631445 1000000000000000000 163849355 162326009 36067634 124580883 1000000000000000000 618290555 408366892 36919475 105086439 1000000000000000000 590549118 234379177 461453956 91032879 1000000000000000000 459093367 331871862 362471029 116479636 1000000000000000000 63663665 36564229 21028294 19850556 1000000000000000000 306871221 302106798 8455828 225339551 1000000000000000000 424809918 42095786 167760714 326643924 1000000000000000000 170170621 127531416 102437839 31171198 1000000000000000000 637830138 614488722 602450243 75904509 1000000000000000000 749263539 231173025 235572602 322173126 1000000000000000000 347595626 35044360 98979787 77405490 1000000000000000000 131105849 94301722 108972492 8033266 1000000000000000000 692770785 415320395 545833245 120333450 1000000000000000000 111584843 44311357 32035463 11476726 1000000000000000000 810975952 168371863 363540551 2427565 1000000000000000000 196633018 1040725 35565238 156659719 1000000000000000000 454125377 412965950 83268348 238048374 1000000000000000000 131163543 18335968 27094114 123182662 1000000000000000000 913359503 257361250 553010340 871329349 1000000000000000000 73997365 28299263 300891 62827365 1000000000000000000 578449663 413889247 494698896 359816597 1000000000000000000 1105914 560250 434590 254788 1000000000000000000 733403992 420279915 655346600 333342334 1000000000000000000 467342465 374336468 282584228 299910348 1000000000000000000 414003698 222526881 413774751 325138749 1000000000000000000 665007466 240105116 28812786 269232964 1000000000000000000 262722388 155317740 208891915 66398915 1000000000000000000 236560758 143640219 77758350 36849318 1000000000000000000 769610320 232271477 764351523 379882572 1000000000000000000 997384425 201371165 950408320 979970269 1000000000000000000 605363111 224610182 527096660 392951510 1000000000000000000 633363611 546877516 334872861 501770580 1000000000000000000 535915089 227339493 365565431 422071712 1000000000000000000 972285640 144711447 411288975 466169289 1000000000000000000 531445870 404360693 56179714 155158119 1000000000000000000 60832229 47802157 3740703 13824487 1000000000000000000 381077499 311166084 300773975 230124908 1000000000000000000 365537590 111060586 241207930 264568840 1000000000000000000 241295168 37369053 97313454 230602143 1000000000000000000 942256312 101372882 169001563 204940852 1000000000000000000 640977920 228263406 100233441 248629485 1000000000000000000 918304305 505805208 261223556 863779594 1000000000000000000 218285010 22279524 43013612 136372832 1000000000000000000 783238035 742962317 430794825 409057978 1000000000000000000 134987486 1549636 122323076 88726416 1000000000000000000 125804991 49306964 81442802 88876115 1000000000000000000 438280267 360235271 117654430 404702582 1000000000000000000 235413049 197579214 54628696 10726505 1000000000000000000 145252852 14872167 118393444 108595066 1000000000000000000 889984600 121474195 613960473 525209389 1000000000000000000 220773578 12925733 95736977 140373679 1000000000000000000 493810406 354619402 299606044 441467688 1000000000000000000 261020149 154010734 80647325 33556523 1000000000000000000 183834005 159744107 74387748 178776521 1000000000000000000 612240753 82535275 225748566 466110555 1000000000000000000 720246344 370965634 564499407 163044575 1000000000000000000 362900320 273491803 202653912 15780047 1000000000000000000 146024221 118184878 37422365 75966532 1000000000000000000 434765214 179454948 63388604 126826027 1000000000000000000 522170467 251040937 334705595 306266401 1000000000000000000 363024930 15561288 178754976 1810704 1000000000000000000 679650864 262108027 22291857 556129821 1000000000000000000 450866146 319496960 118984625 327322252 1000000000000000000 162578487 117965360 78791259 95969946 1000000000000000000 387538033 188186444 294413149 361370276 1000000000000000000 285501347 182052662 62600242 228885916 1000000000000000000 152398088 63593478 12795949 41730793 1000000000000000000 960644922 909667902 849315934 210450708 1000000000000000000 76418932 24302165 73766112 74961672 1000000000000000000 148207958 126933277 105268607 21978612 1000000000000000000 597703117 233834507 96087816 112723679 1000000000000000000 136106464 96720272 81504407 125156094 1000000000000000000 402086830 62288594 382776802 185254857 1000000000000000000 997165958 32744293 477843319 770455235 1000000000000000000 991112586 904768411 695656878 870131035 1000000000000000000 783841535 500142622 254203755 306752667 1000000000000000000 997777661 95796331 640411196 803167801 1000000000000000000 814519523 581467513 493999998 229600043 1000000000000000000 413490151 396217903 111195800 402810119 1000000000000000000 576971098 319061998 102959890 525139719 1000000000000000000 139127045 124041609 49854606 43252677 1000000000000000000 46518889 20249931 31830186 43649736 1000000000000000000 745320000 571417459 399856113 725070081 1000000000000000000 102813010 62244616 97843122 93886747 1000000000000000000 413692596 98881408 75069944 237087048 1000000000000000000 163535349 135060954 90134076 40241440 1000000000000000000 944279083 107278129 148568581 516140947 1000000000000000000 983633983 290127196 588747131 202675663 1000000000000000000 86581998 124965 55688725 54278172 1000000000000000000 764645071 754056364 365268239 709461102 1000000000000000000 935616677 774770319 620795915 214842349 1000000000000000000 186419492 8771940 179939942 81547877 1000000000000000000 950577725 196897677 673905053 36291624 1000000000000000000 687278478 182752893 387685145 267063499 1000000000000000000 873574702 868514078 623214112 794013874 1000000000000000000 569771611 418515324 286839341 129972188 1000000000000000000 425351880 127839779 235081119 4790957 1000000000000000000 710063425 572106051 8259594 108376367 1000000000000000000 3305992 1287286 2307225 1741087 1000000000000000000 149870347 104910707 37535202 99230735 1000000000000000000 850457760 832985536 693728153 553462781 1000000000000000000 453979906 241683600 206719861 361101509 1000000000000000000 842438957 459348433 572741733 470109578 1000000000000000000 967548659 673241784 90407334 367443675 1000000000000000000 909768073 807382140 483256377 643125792 1000000000000000000 418018167 339135348 375188503 115010110 1000000000000000000 226039283 180721652 49780157 76057245 1000000000000000000 6348522 2505411 3197624 2522345 1000000000000000000 448661206 319892109 215541797 271769832 1000000000000000000 718985710 635609828 15192188 129823809 1000000000000000000 496663533 191264524 127306223 466764428 1000000000000000000 779641784 764109355 151827683 425616640 1000000000000000000 15358103 11268745 13903986 15187663 1000000000000000000 411131358 208286296 296100921 110144328 1000000000000000000 565237168 160260038 391356310 302877561 1000000000000000000 910977696 750344602 879060874 347147669 1000000000000000000 491545174 489203857 372737729 269539365 1000000000000000000 255305157 183990204 247846247 197464613 1000000000000000000 860709423 750201740 289672438 517978752 1000000000000000000 916086127 582757891 62539233 23596583 1000000000000000000 710890234 519859251 404509274 554953552 1000000000000000000 604138922 330163951 245902713 19419536 1000000000000000000 785912179 320621090 128405613 147410925 1000000000000000000 173055389 28979439 122221661 50869135 1000000000000000000 382185905 306140697 113820452 26247270 1000000000000000000 189727662 132539514 89968067 63633491 1000000000000000000 758733656 326780096 478418973 369767165 1000000000000000000 848890797 402815742 208319338 249832983 1000000000000000000 142237667 72608301 20906536 508269 1000000000000000000 676722605 63480838 430130051 604814089 1000000000000000000 711714462 84938470 305749890 464990795 1000000000000000000 562984847 183732425 260078405 501016575 1000000000000000000 230218144 133303656 29915282 61175878 1000000000000000000 21518490 17602663 6975716 11539944 1000000000000000000 947396927 476828210 391794302 821113188 1000000000000000000 937949636 21998709 348305969 869546543 1000000000000000000 159043830 149318606 92390896 155015386 1000000000000000000 467310250 441515714 432714921 213444170 1000000000000000000 407719163 380584260 171339768 303990635 1000000000000000000 426968514 268196982 355924414 316451516 1000000000000000000 424232823 423309766 129226751 233369599 1000000000000000000 677161507 523554856 524449108 497305040 1000000000000000000 291511025 283392194 157753068 245176949 1000000000000000000 709969191 264586756 514201226 76517553 1000000000000000000 562506666 453600810 484692564 221923404 1000000000000000000 923204605 323897113 23178718 591563240 1000000000000000000 843096511 22523835 791984020 657203690 1000000000000000000 268842085 122242970 253168303 51543491 1000000000000000000 12794988 9500063 6797222 10577094 1000000000000000000 822215828 333970498 457140249 546979091 1000000000000000000 394293446 321542388 220666772 174097570 1000000000000000000 533182144 128649328 135228230 513844951 1000000000000000000 716880164 164792311 175304964 579707196 1000000000000000000 138153567 106080485 130362443 57375327 1000000000000000000 629324581 47764692 245888580 345821375 1000000000000000000 84028427 30873749 68895083 55272841 1000000000000000000 781939850 501747807 298189912 121880589 1000000000000000000 655600507 483610233 148626394 431638505 1000000000000000000 394913298 251467540 208564398 220067471 1000000000000000000 824815807 346688012 78453446 520088581 1000000000000000000 883796879 375350997 398623793 811035377 1000000000000000000 267969749 238406342 134946467 183980944 1000000000000000000 592073764 136903878 508578764 275579279 1000000000000000000 403570392 332569100 163508972 52621897 1000000000000000000 498258122 464440905 223084565 356404145 1000000000000000000 76091207 45952407 39322425 72327570 1000000000000000000 900401598 766264392 575156700 453834889 1000000000000000000 736741293 735157211 689436594 301212251 1000000000000000000 415313680 334187902 338903126 134265652 1000000000000000000 850430272 314652194 301136071 641647557 1000000000000000000 227089976 97935075 85442596 159724410 1000000000000000000 792770831 61531457 458501078 293950580 1000000000000000000 330947363 243668997 44858255 278876917 1000000000000000000 700112721 672569347 346733407 677411611 1000000000000000000 323543775 265156970 150631799 241619416 1000000000000000000 568825711 190607783 476889262 37331195 1000000000000000000 860479085 73893058 98198693 211368332 1000000000000000000 262944955 180060355 843853 178332347 1000000000000000000 974670829 371560019 418960353 519818444 1000000000000000000 66704218 1780920 23527135 23616542 1000000000000000000 918536478 317162270 57974831 517018623 1000000000000000000 818104573 302655327 416305532 597541219 1000000000000000000 840804468 165395427 400029420 23007210 1000000000000000000 146976291 121226652 131690190 67871399 1000000000000000000 682803506 153217897 437255375 134692093 1000000000000000000 133241705 96364419 117757192 97766573 1000000000000000000 207400710 170773159 37972126 3639413 1000000000000000000 658575457 528069141 515315476 525667139 1000000000000000000 537906381 306665615 58257794 433136182 1000000000000000000 489722384 170669932 365154546 394637612 1000000000000000000 645383806 207932213 201208101 286024954 1000000000000000000 880262535 427068627 73470747 540980976 1000000000000000000 154993501 145686719 140301618 151391364 1000000000000000000 157512113 135723245 144070549 99741059 1000000000000000000 355019612 60951075 27382531 211096093 1000000000000000000 468804739 160505780 68716070 59807743 1000000000000000000 58357397 11845254 38852657 56373484 1000000000000000000 741335419 557053980 379457614 589744825 1000000000000000000 837930088 243190283 435535216 732458385 1000000000000000000 911205162 21415204 343169488 517120871 1000000000000000000 909190573 481208983 195553327 77513462 1000000000000000000 771554911 557568560 535165118 355694399 1000000000000000000 184684511 156678509 151865489 74118858 1000000000000000000 875454288 655818606 711355020 665114387 1000000000000000000 35990435 18631122 18350781 32235494 1000000000000000000 529244738 90537594 183486539 351136455 1000000000000000000 879530397 483179121 202020862 726027403 1000000000000000000 21588913 16272717 2964135 1789767 1000000000000000000 631771091 223302646 303193199 116294281 1000000000000000000 239576377 205062394 149886259 170829741 1000000000000000000 656885398 186296072 29403331 396165937 1000000000000000000 107737723 100237466 84362827 33050993 1000000000000000000 430942 76728 370565 207384 1000000000000000000 737246407 463293370 412775602 677720281 1000000000000000000 126193236 119006364 110424400 125712945 1000000000000000000 934060833 192446110 581704333 444302025 1000000000000000000 366503773 82832150 85928302 205205952 1000000000000000000 902630633 207628024 814424547 901740961 1000000000000000000 921675094 342029086 866519644 281235802 1000000000000000000 999168745 571993198 618039214 601355332 1000000000000000000 718143534 473245743 406673875 177576551 1000000000000000000 423881217 126472425 61071648 391276176 1000000000000000000 71708072 55199729 7617484 54521864 1000000000000000000 560796373 234533977 90980755 242916693 1000000000000000000 469807675 449909689 333505918 31537461 1000000000000000000 707747332 280175319 129342216 77709659 1000000000000000000 300619127 204086262 154140602 158210160 1000000000000000000 571201571 187686790 396762335 570809444 1000000000000000000 743861382 466818762 181358900 213633596 1000000000000000000 471195226 64069489 354011822 144744715 1000000000000000000 773718256 137347674 672771974 113289502 1000000000000000000 58016350 38336632 18941180 34055343 1000000000000000000 887895169 775255336 266302378 795285853 1000000000000000000 306764611 192486913 305891048 75191588 1000000000000000000 688104575 450610878 285475953 534518290 1000000000000000000 20084185 3726711 18558691 12716176 1000000000000000000 972179763 573660399 83150073 903161795 1000000000000000000 221989752 124747635 170152113 81206638 1000000000000000000 269761388 238403850 70407936 169363287 1000000000000000000 616701662 284660309 229114682 265193177 1000000000000000000 751552535 596048754 707623303 567397829 1000000000000000000 951883557 851343411 426165466 150771137 1000000000000000000 561849804 533162067 183945080 382149245 1000000000000000000 223089909 103235637 43392268 21866928 1000000000000000000 744410816 494258060 598856662 12820344 1000000000000000000 881500602 363268620 830129765 579104536 1000000000000000000 162078955 159451369 73802664 13190757 1000000000000000000 740618080 317034345 643624234 498191627 1000000000000000000 33086460 20708159 21653519 4033341 1000000000000000000 407943595 126495365 388958542 372571859 1000000000000000000 976588926 683968725 232406982 826702785 1000000000000000000 226221675 96663185 50193981 212685958 1000000000000000000 285817997 116607132 39961389 58923210 1000000000000000000 489006621 309582759 264977345 227485924 1000000000000000000 851346484 491582639 795211137 358239047 1000000000000000000 301736388 214939924 21551228 64928498 1000000000000000000 833499582 496130496 188530909 386287284 1000000000000000000 974010781 864664003 558078562 664522634 1000000000000000000 300746715 169778968 10237068 21439002 1000000000000000000 116870364 16660940 86811622 57988587 1000000000000000000 130272624 25349246 30846429 62628227 1000000000000000000 8723856 6584678 8399577 2708569 1000000000000000000 405514745 19351953 384978615 165379815 1000000000000000000 414880146 248921774 173204309 373160267 1000000000000000000 780680941 752105753 241799873 640465328 1000000000000000000 384717453 87865733 350708068 253749600 1000000000000000000 331909533 171750811 214537689 254129875 1000000000000000000 498881326 213677288 69452090 116371794 1000000000000000000 245635916 142600764 199696126 240861139 1000000000000000000 796315729 533894149 763276922 101306198 1000000000000000000 800228271 418670064 706178614 674821560 1000000000000000000 330161756 103991184 252983603 35793616 1000000000000000000 188845658 129639496 67963165 130375891 1000000000000000000 41981596 2930993 1545025 19784425 1000000000000000000 547728017 261345745 257672988 216945025 1000000000000000000 824866118 186359609 28720717 752152443 1000000000000000000 367629932 318999709 236836217 179181231 1000000000000000000 577130126 193382837 571728369 461509194 1000000000000000000 375160158 180889429 34301180 141199328 1000000000000000000 945450805 147117232 449218125 888150658 1000000000000000000 49101006 33070629 46481594 39847496 1000000000000000000 313774138 168005005 201862409 115566681 1000000000000000000 84522762 58728185 1083917 57828528 1000000000000000000 44449850 22630128 7107521 30326160 1000000000000000000 805939818 462219864 225389071 131879414 1000000000000000000 320333951 38458591 139169824 289663917 1000000000000000000 602035093 124774313 598083856 454134937 1000000000000000000 447481456 193645033 351981712 63302427 1000000000000000000 772132315 386973371 491937970 472114736 1000000000000000000 561656623 524591397 271958912 259369156 1000000000000000000 443593031 381654825 316719239 231780428 1000000000000000000 154141365 128581900 53344825 11207186 1000000000000000000 554576924 128174317 103288030 477642668 1000000000000000000 897870416 759588317 693965985 82029816 1000000000000000000 694818846 409791859 64677656 271706166 1000000000000000000 878156148 610668141 666494632 157445009 1000000000000000000 443474472 391343574 68418547 329744363 1000000000000000000 216040686 172634552 130905354 158366456 1000000000000000000 281562862 244432980 203778620 235115986 1000000000000000000 133859514 118341137 10871757 6113445 1000000000000000000 707980775 340161051 406918479 584705805 1000000000000000000 484496105 339935604 297031341 139254299 1000000000000000000 542427401 262293189 521101727 44620853 1000000000000000000 763015235 376678563 183269035 456997832 1000000000000000000 84672948 75226535 55425994 68641012 1000000000000000000 261677106 204043546 160397920 105110888 1000000000000000000 899131323 488987885 796025478 644630779 1000000000000000000 468243477 47079361 373042521 190269161 1000000000000000000 883234609 489385783 10806864 565241212 1000000000000000000 884081712 515180860 486143940 508317443 1000000000000000000 95408624 79407490 46828408 4224096 1000000000000000000 928869368 115846614 180063835 155701288 1000000000000000000 878293427 419751426 770441262 809691057 1000000000000000000 970061997 875654611 784611918 926124300 1000000000000000000 756516450 314571356 140149979 538671259 1000000000000000000 678100000 391390825 475410966 12178415 1000000000000000000 250414445 16043783 78113586 17406133 1000000000000000000 838863499 192300960 404126213 486430590 1000000000000000000 815424498 260034862 194995113 306733996 1000000000000000000 509527312 56221435 138500295 444791088 1000000000000000000 929933846 923955316 682553745 597298206 1000000000000000000 944598597 253976741 797522075 448316452 1000000000000000000 111812837 60737636 49550808 63049214 1000000000000000000 891301720 28736596 592577463 57727291 1000000000000000000 980819117 892112422 312155559 406127013 1000000000000000000 266660444 169092944 46512280 104782775 1000000000000000000 877077238 828659392 270668944 465391809 1000000000000000000 375973408 247749651 15224748 93123519 1000000000000000000 287350312 91143052 282370598 104477051 1000000000000000000 178232625 79146852 60194260 158216560 1000000000000000000 28157186 4357463 24327848 18530457 1000000000000000000 601989580 16513350 182180996 560147994 1000000000000000000 335402075 303368750 220372497 183225574 1000000000000000000 231519768 210731623 110568742 80812546 1000000000000000000 255212105 233827082 153076530 31045035 1000000000000000000 653143133 114619713 41119915 249592969 1000000000000000000 654583157 182701029 166659691 505848075 1000000000000000000 966630850 769362723 674936245 483443656 1000000000000000000 713610235 149152421 510353817 172612775 1000000000000000000 547374201 437346056 374023393 298117403 1000000000000000000 565003422 22043568 172352142 295304849 1000000000000000000 259820946 188995393 225177449 119078846 1000000000000000000 209073062 63214251 37288946 42168283 1000000000000000000 898771893 535198013 798564246 265107691 1000000000000000000 869034243 702831058 298627869 786452859 1000000000000000000 236471265 77989025 126189236 186938850 1000000000000000000 245992767 245394904 29150204 16248934 1000000000000000000 881146720 628488184 588058255 796737449 1000000000000000000 796302037 37304719 219620043 267352074 1000000000000000000 149639159 133124782 75738074 3618600 1000000000000000000 225947643 70747271 15814508 149826732 1000000000000000000 82369322 5392688 63512577 55010045 1000000000000000000 862674331 244936628 181386026 167783874 1000000000000000000 892999539 220710259 822517916 227127222 1000000000000000000 144770079 49423224 46220646 137420155 1000000000000000000 829317686 115179042 444939753 651674516 1000000000000000000 863133489 426146496 168624660 333542114 1000000000000000000 633949954 67945493 185940487 227330036 1000000000000000000 590158838 255160091 557924608 364057529 1000000000000000000 633786871 363227203 400675547 536827952 1000000000000000000 698793116 434621494 108282257 484265426 1000000000000000000 399647876 307120196 381047982 233969205 1000000000000000000 909330410 12675330 487239151 410355994 1000000000000000000 188857076 87271419 77487431 127750874 1000000000000000000 771441010 102867279 222360347 191217606 1000000000000000000 960535499 125250551 259390100 563783551 1000000000000000000 222547600 24422973 22824844 165797161 1000000000000000000 986112212 645847534 231317456 813877681 1000000000000000000 756714419 273694571 661100642 17819283 1000000000000000000 995310263 614816278 553189169 413615510 1000000000000000000 768932278 173502976 328454202 620790363 1000000000000000000 696956271 84553767 653334344 206724189 1000000000000000000 658329272 290973410 458397521 513436037 1000000000000000000 698003856 502572826 496400739 271896609 1000000000000000000 408201447 332824070 146429993 338521166 1000000000000000000 474629492 252525834 83445221 281675348 1000000000000000000 720660239 195943423 225515760 326614928 1000000000000000000 302521181 274816567 1292298 21556288 1000000000000000000 79870288 78158812 77924666 52177457 1000000000000000000 811997624 673732067 82706732 612469408 1000000000000000000 695640608 513168621 532647360 130093942 1000000000000000000 450223807 296200101 118801245 284126235 1000000000000000000 459576138 53632920 68986051 293736299 1000000000000000000 218319648 197844426 57607810 62475654 1000000000000000000 226664690 29494542 221419718 165073125 1000000000000000000 123729717 78406386 122003150 105757103 1000000000000000000 676292807 358171852 440734587 583528703 1000000000000000000 273621380 141225547 67257323 185254186 1000000000000000000 259139863 22392623 134491933 96428496 1000000000000000000 963999798 788370174 313063629 48117071 1000000000000000000 902175657 52220423 894351841 194835930 1000000000000000000 76903397 27791650 69401779 62609458 1000000000000000000 70698511 57642480 3174482 58873994 1000000000000000000 157887997 52325603 7424683 102671191 1000000000000000000 837871921 576313644 826347009 231173743 1000000000000000000 302151024 41304527 76070538 2147163 1000000000000000000 309368128 162564094 78669361 236013784 1000000000000000000 713225572 703751815 409461995 530275666 1000000000000000000 476279817 342428794 252306600 130895297 1000000000000000000 810423735 76346586 52898349 76692894 1000000000000000000 245583280 230313520 84656338 185544398 1000000000000000000 241299935 194171730 196745189 47727351 1000000000000000000 618853956 323979746 158414087 106981613 1000000000000000000 150269818 42512463 128739365 11035983 1000000000000000000 862483266 429831481 600515288 497117328 1000000000000000000 492331347 151136480 45901667 132643535 1000000000000000000 804149108 209077796 266400232 511539456 1000000000000000000 144698648 136963795 139010307 27926896 1000000000000000000 353297611 309587782 34326023 196369044 1000000000000000000 927979077 21054635 247754632 111689117 1000000000000000000 859368055 747855229 784372831 243400680 1000000000000000000 291510408 274333417 90855446 107196267 1000000000000000000 995557485 475395729 611603006 212256646 1000000000000000000 790306372 715812455 715799791 497096185 1000000000000000000 859900436 536450428 288933714 796538628 1000000000000000000 177984923 114913275 85781376 90523870 1000000000000000000 704856122 526752261 216961448 383259746 1000000000000000000 415464929 279448703 279069862 348272578 1000000000000000000 232147162 231968677 211160782 8052092 1000000000000000000 509732614 123428099 504109223 509270977 1000000000000000000 794695365 366310169 98185587 667772620 1000000000000000000 275736400 126071554 228168294 102354124 1000000000000000000 500481394 244430442 91864526 11651152 1000000000000000000 669938681 640353911 58983600 434424101 1000000000000000000 771372229 578352917 357258016 561897718 1000000000000000000 71345436 60322299 69698602 42914328 1000000000000000000 167298348 47922765 6000360 11450182 1000000000000000000 378437308 356458936 98396206 53658263 1000000000000000000 89676636 68156682 44589759 24511078 1000000000000000000 44792391 21101370 24680168 15155945 1000000000000000000 85153321 3145527 45951113 31727016 1000000000000000000 500412546 389056889 380578691 23233475 1000000000000000000 304002235 111581839 19728983 294719232 1000000000000000000 117941371 27523184 15798407 88361721 1000000000000000000 846890444 42911604 377582781 105603121 1000000000000000000 487109448 422534681 251594535 46622137 1000000000000000000 557630907 35369280 155422013 472884784 1000000000000000000 611366355 50729907 537735194 312363487 1000000000000000000 433416100 359960477 184095292 287931690 1000000000000000000 984430671 477842063 411594647 740189337 1000000000000000000 780021770 60714603 658156695 337101147 1000000000000000000 870549892 555919889 501924746 551421602 1000000000000000000 574299011 18906290 266220523 344979466 1000000000000000000 744171120 542402412 250723155 60674545 1000000000000000000 210599132 138384194 4115271 27007335 1000000000000000000 155799067 89141393 87172831 80850915 1000000000000000000 735950151 431730688 48540091 256110920 1000000000000000000 222576194 178474578 209160122 185930598 1000000000000000000 928692253 252660567 340311268 680126140 1000000000000000000 548162770 306140025 507523528 110498336 1000000000000000000 558662892 158011061 359291939 413296060 1000000000000000000 198245530 58250871 170423725 127106785 1000000000000000000 681518549 338969827 199598110 193804427 1000000000000000000 508327517 221862036 94146309 467854933 1000000000000000000 105984191 93870878 104498835 43757735 1000000000000000000 77360337 44782572 53212817 59958328 1000000000000000000 97383122 81885750 87797587 46055339 1000000000000000000 552168554 140439673 542190659 16012811 1000000000000000000 531310494 267958782 454532048 30059897 1000000000000000000 814140202 248652045 310801727 285637972 1000000000000000000 197556391 157822060 107291231 76070304 1000000000000000000 609645720 98421832 215592384 389333681 1000000000000000000 883417506 831372524 300843423 319907795 1000000000000000000 784067927 63789591 312139800 35721736 1000000000000000000 130488323 73280348 109749988 74451302 1000000000000000000 720578079 638970522 238265861 85080662 1000000000000000000 757971541 374979312 583682841 743566287 1000000000000000000 20276151 20144152 9383564 2493631 1000000000000000000 753437736 292015634 239404981 420130770 1000000000000000000 848880190 464910590 532681185 303822617 1000000000000000000 626514991 438298178 414761305 410189750 1000000000000000000 389325253 174683139 206954334 187335728 1000000000000000000 902779988 215728219 59560004 777249089 1000000000000000000 356465307 224654655 133895818 141704447 1000000000000000000 800563314 256411048 629470892 129789706 1000000000000000000 335063741 195243915 188046426 82312246 1000000000000000000 373058141 174485369 52365202 280140439 1000000000000000000 577986101 380510092 252696623 112916938 1000000000000000000 372390794 291522241 346732334 15079183 1000000000000000000 411533576 88980606 191134601 131511773 1000000000000000000 413338027 127693841 370305364 402772317 1000000000000000000 350209614 257874238 113557553 44362842 1000000000000000000 342844826 116113265 68907871 283196440 1000000000000000000 348709757 286952422 189252480 82230845 1000000000000000000 307123986 191924542 218215220 158389849 1000000000000000000 692556726 53875252 407201223 259424997 1000000000000000000 238703079 225867871 94116560 36484857 1000000000000000000 387846712 166413543 68612359 113682710 1000000000000000000 947594991 756746483 247576530 49190987 1000000000000000000 17131696 9694838 5019349 1374006 1000000000000000000 705121751 259288080 615397374 639294978 1000000000000000000 505149973 347969776 203333548 216471820 1000000000000000000 192304761 47313567 61560846 7005107 1000000000000000000 59681349 55384129 15297183 56214912 1000000000000000000 802744143 314256795 440836226 49808799 1000000000000000000 129525506 95888716 114961137 22822277 1000000000000000000 214904287 146291154 80389908 21251966 1000000000000000000 512262141 16446836 236952295 66356065 1000000000000000000 506916513 286517421 498866529 129426963 1000000000000000000 385511892 100294729 161715444 325797596 1000000000000000000 357283136 348472456 25512284 247634817 1000000000000000000 714703805 119040920 57232505 201542148 1000000000000000000 764397917 212030901 486368567 113036786 1000000000000000000 968961752 449387868 568941319 214189300 1000000000000000000 933288202 290123187 116154977 880757328 1000000000000000000 904861908 101324513 849535126 713357112 1000000000000000000 953918028 526542470 39387696 594414957 1000000000000000000 965622820 371424030 4574681 505841210 1000000000000000000 355761396 166891875 135155843 92111211 1000000000000000000 24374972 6415805 13476554 7038051 1000000000000000000 19327034 18874215 10599605 8778213 1000000000000000000 160392636 36912639 131681845 154649374 1000000000000000000 958615723 9633746 382292327 224878288 1000000000000000000 315108719 111786435 262836282 49765120 1000000000000000000 570409261 299163064 319438091 153636387 1000000000000000000 738190539 407452930 647605686 456603647 1000000000000000000 566739815 112306052 337245739 27900425 1000000000000000000 603827103 8951816 584175270 578047734 1000000000000000000 963998283 870592429 149313909 365057221 1000000000000000000 661321876 556825242 222035280 107181540 1000000000000000000 600397766 472526649 88352433 586622207 1000000000000000000 741536218 226994900 506798111 427169884 1000000000000000000 711426801 456102950 521854574 54390196 1000000000000000000 155166936 90774427 130665751 105270893 1000000000000000000 144276869 102017175 78291436 29740711 1000000000000000000 698986781 28597641 103167511 501091476 1000000000000000000 106670937 25269254 54081394 24961479 1000000000000000000 985460194 162995283 305240686 892257838 1000000000000000000 551030665 196662700 178834003 95081440 1000000000000000000 380030583 377061067 198694985 107310832 1000000000000000000 969959245 264842346 210408503 725955884 1000000000000000000 955812386 693501584 213175768 877387081 1000000000000000000 255588192 91321625 40775183 235590133 1000000000000000000 821219709 630861211 230458168 289971540 1000000000000000000 660701118 378016466 266919726 626114471 1000000000000000000 574820058 109426828 461553666 335537010 1000000000000000000 9084453 5422453 7345602 7412275 1000000000000000000 526976521 61456856 278609647 416708796 1000000000000000000 36207433 3779826 15236796 32031963 1000000000000000000 361978073 292231120 145456645 53044425 1000000000000000000 609805649 430731574 487655429 254640318 1000000000000000000 199501121 19528642 6356213 190737472 1000000000000000000 800778091 609759814 748310581 673644377 1000000000000000000 147557771 123739962 20983402 72059451 1000000000000000000 681707834 191082797 655776621 19595211 1000000000000000000 924268385 651483699 50844646 203292095 1000000000000000000 167747571 70203794 131844195 38827582 1000000000000000000 104514685 57199549 1228116 8992473 1000000000000000000 978405843 902321838 88658159 525807778 1000000000000000000 699092137 430103528 610988786 218488828 1000000000000000000 298389260 202551725 58577173 259762438 1000000000000000000 327346278 214251996 221430079 222432946 1000000000000000000 309591481 80279462 27397853 263868509 1000000000000000000 337227008 257799582 50448725 126086653 1000000000000000000 673235300 33465822 468335286 236704018 1000000000000000000 492520899 12054443 286549773 244672893 1000000000000000000 814754794 762027362 758188934 644198713 1000000000000000000 696413326 308039622 320307081 463614407 1000000000000000000 921714404 864177283 872558970 601190117 1000000000000000000 347447296 100130167 250022550 130418463 1000000000000000000 990354812 245688359 755962575 720205786 1000000000000000000 361809558 154740481 886299 346594712 1000000000000000000 504355308 172531301 213136775 360566037 1000000000000000000 975851321 931238202 971052136 172195385 1000000000000000000 293011567 131500874 23081909 266825965 1000000000000000000 924559570 712902477 478787461 587994576 1000000000000000000 620566669 265035851 402802504 331575352 1000000000000000000 391805190 164856143 182936600 168016758 1000000000000000000 696820908 637173467 497675904 287982254 1000000000000000000 52114374 1641080 45066283 28780375 1000000000000000000 926082960 249852396 735983949 164701347 1000000000000000000 221053344 40901424 194692623 145554963 1000000000000000000 348674087 242769207 89462070 117582210 1000000000000000000 208763037 46277969 133947482 58583122 1000000000000000000 263414733 65507308 18811346 60388316 1000000000000000000 62234531 60430023 55284303 48269839 1000000000000000000 997830939 909278888 851503937 842248958 1000000000000000000 757852691 310471588 34662636 315786812 1000000000000000000 908699586 44042406 291767041 492381588 1000000000000000000 538711854 188049605 174559689 389834363 1000000000000000000 632646547 172527176 499434275 298044136 1000000000000000000 802562305 757658178 47506396 406377862 1000000000000000000 434868868 206157424 194979471 337845667 1000000000000000000 901824182 583625972 560357345 78383710 1000000000000000000 432861127 24278059 57525957 63148306 1000000000000000000 34183026 11544601 20501429 6020306 1000000000000000000 408053846 263015029 144546498 219306887 1000000000000000000 643286316 432105757 129210357 408897970 1000000000000000000 66012974 54398479 7722196 53126365 1000000000000000000 904004883 284737883 842141672 28944376 1000000000000000000 235667861 218633365 155951431 170101440 1000000000000000000 988158702 391579860 113969457 39835470 1000000000000000000 755559657 690189769 208909980 175761070 1000000000000000000 370773174 361109088 69551175 237754517 1000000000000000000 557642677 279504658 92981324 70980202 1000000000000000000 718276062 332310444 384176568 591977290 1000000000000000000 629418537 85147854 316228387 292830264 1000000000000000000 985127960 639445986 584911404 141506807 1000000000000000000 723935038 55605677 334468842 361032542 1000000000000000000 293738343 1430576 8853005 10299433 1000000000000000000 664593679 332570805 636867284 485346872 1000000000000000000 36124494 28872404 4208819 27673606 1000000000000000000 521922151 227699864 344241550 512184404 1000000000000000000 23270031 18348707 13827449 8784416 1000000000000000000 266645785 85932069 177304610 108707266 1000000000000000000 70208992 50475248 56626513 37753988 1000000000000000000 333659642 63962056 39159102 159928897 1000000000000000000 262315335 3610424 221606876 60217471 1000000000000000000 409365632 371245619 59362251 230561320 1000000000000000000 167111310 69194097 98680270 69290015 1000000000000000000 742223783 471484409 208528787 566291047 1000000000000000000 678260512 165930327 507842822 615182215 1000000000000000000 357896168 320435584 355242965 119449392 1000000000000000000 129278558 103374246 45032416 92540593 1000000000000000000 222621895 114572766 5032589 116621554 1000000000000000000 287920354 179326675 180759570 256274042 1000000000000000000 205827815 26059390 23800549 71600598 1000000000000000000 602369455 551810675 492939663 136901406 1000000000000000000 349738118 91303432 135476967 273786178 1000000000000000000 29560944 4003818 19152812 15050423 1000000000000000000 861318198 300985223 672858203 166513216 1000000000000000000 140290499 109524247 28262760 63513976 1000000000000000000 899303434 621721245 454282204 217303086 1000000000000000000 135642093 43944626 81228470 2581053 1000000000000000000 632067648 325251789 566186164 551845119 1000000000000000000 886999441 559260981 49613328 27076654 1000000000000000000 431496164 254880990 337634130 252862301 1000000000000000000 626626614 43782104 538427820 601336426 1000000000000000000 281190609 189880795 59856218 55423080 1000000000000000000 259126954 199660667 140486702 162326042 1000000000000000000 325433080 157652422 14427180 292713189 1000000000000000000 216472035 80835615 84620125 50026628 1000000000000000000 244056566 124944117 155954810 191361745 1000000000000000000 544580261 58740044 359218483 321063446 1000000000000000000 91370313 29274220 53781780 61047124 1000000000000000000 966073973 722651127 719460501 137559889 1000000000000000000 677467294 396482149 140323318 456285456 1000000000000000000 779308151 577750385 458102512 759005190 1000000000000000000 319389440 197830532 38230533 157668084 1000000000000000000 452658662 79323347 346688203 349787103 1000000000000000000 421759292 407747824 73503334 134322691 1000000000000000000 191984292 120618747 129981807 18478192 1000000000000000000 898365984 669358391 160197424 766149992 1000000000000000000 301269889 40141178 199014257 24044544 1000000000000000000 711369325 82906728 476976683 672299391 1000000000000000000 183390979 78914522 165358581 40495924 1000000000000000000 802404633 371072655 395120356 716657721 1000000000000000000 830634409 681714459 499989506 396029942 1000000000000000000 419260623 346232601 262852163 182843716 1000000000000000000 798753343 627172523 2334870 482401694 1000000000000000000 778689078 398305918 248051463 264604217 1000000000000000000 43497670 25950977 9830593 6200103 1000000000000000000 559896917 165065257 130950849 188863634 1000000000000000000 184334995 51920152 70851065 89834288 1000000000000000000 312078636 114367107 235271099 245192258 1000000000000000000 90009034 17018829 46723817 2453521 1000000000000000000 655449330 158918330 567713240 376932720 1000000000000000000 476684395 21124058 469322985 4641834 1000000000000000000 812840293 62593366 76262880 718332590 1000000000000000000 365662616 91600394 195596312 89089612 1000000000000000000 935406939 706783013 143078189 601302926 1000000000000000000 91933430 82007099 89803043 87679588 1000000000000000000 530912549 330476204 312893164 316451515 1000000000000000000 862922810 314614744 666144576 527258591 1000000000000000000 440617797 33515330 143859556 350880967 1000000000000000000 660318791 444594604 614010593 320973819 1000000000000000000 110797454 9435980 40178647 64159066 1000000000000000000 440473967 129539765 339632047 297129847 1000000000000000000 616073993 479415402 275467664 570567871 1000000000000000000 275180335 124426627 33727355 40571838 1000000000000000000 931806161 627653686 725399940 415639170 1000000000000000000 633694704 624627410 197477795 304206528 1000000000000000000 959540861 194504876 559690671 825212363 1000000000000000000 975414829 253946120 943481623 875024785 1000000000000000000 348651761 250476331 343902507 215290673 1000000000000000000 870969612 287546910 210023050 248174922 1000000000000000000 536927396 128506444 40008126 511016046 1000000000000000000 721208534 318629729 145109153 551942794 1000000000000000000 584673399 501981831 87898306 280431657 1000000000000000000 479045909 371213092 330891860 29858980 1000000000000000000 839338731 341153991 800762470 173417960 1000000000000000000 16059932 10241168 9145204 181014 1000000000000000000 103443524 100797015 43328108 64519042 1000000000000000000 746387834 458061108 536412002 411998526 1000000000000000000 737066033 211587712 606592320 721333196 1000000000000000000 324475955 241167853 210409578 72779014 1000000000000000000 422136358 293441394 415054718 200688625 1000000000000000000 698271487 194832249 658715877 532412081 1000000000000000000 876979790 820607113 549048372 442508082 1000000000000000000 567895272 357126920 107450594 341187236 1000000000000000000 381408014 13699112 29790257 45240990 1000000000000000000 946658181 749485562 443750198 132397533 1000000000000000000 817122123 526555978 180189688 761963387 1000000000000000000 9623672 5328522 1522564 4892325 1000000000000000000 883156673 786226104 475310619 387961264 1000000000000000000 76186395 70625556 55222239 1433958 1000000000000000000 272784948 14665343 178864217 29944233 1000000000000000000 620410513 68749492 164137326 333085444 1000000000000000000 785579751 17878571 649099549 388346619 1000000000000000000 536879126 495491261 159923910 66529696 1000000000000000000 856214201 550120984 95297588 739983690 1000000000000000000 456742135 403047805 156414970 424468058 1000000000000000000 359337746 4578092 310674195 67127169 1000000000000000000 719180823 710272236 361117015 331141487 1000000000000000000 835207965 598862450 14350096 80067540 1000000000000000000 210364901 185866385 47356955 168621979 1000000000000000000 894431029 296883088 165359599 335549683 1000000000000000000 889498731 670353172 740887156 779083494 1000000000000000000 407212135 352200445 120820063 310004643 1000000000000000000 631853616 531900134 450853084 94865797 1000000000000000000 284832763 115515634 151448630 186574269 1000000000000000000 739167368 140230624 704486996 4285008 1000000000000000000 414274134 213301391 141264695 270385421 1000000000000000000 206326811 5051845 127301436 18958148 1000000000000000000 776576847 298768293 622025171 631932960 1000000000000000000 675415282 224183318 271261374 539084239 1000000000000000000 133905909 75874777 88575355 46398137 1000000000000000000 579390541 458022112 434783633 348422681 1000000000000000000 390139967 242809910 357077627 377591208 1000000000000000000 276193950 131443776 125134316 166765683 1000000000000000000 934247121 30613497 717416114 879410196 1000000000000000000 30308373 199453 16091744 13577061 1000000000000000000 924838800 35696121 865637286 360621432 1000000000000000000 426485219 232945440 363424576 201454192 1000000000000000000 808711654 267586110 3548495 666410972 1000000000000000000 935792816 153768759 137085666 807033586 1000000000000000000 592076347 328248759 585260069 247896266 1000000000000000000 93307383 54500978 47715760 79422389 1000000000000000000 137852726 94490805 18541966 101639168 1000000000000000000 154026093 96687125 66768867 137104950 1000000000000000000 939883480 799474196 109047766 622052008 1000000000000000000 224968094 1658794 19182051 126557182 1000000000000000000 261692855 48988109 96382 45549771 1000000000000000000 231331906 192097274 81762106 12199811 1000000000000000000 97965577 6642000 13257320 87602171 1000000000000000000 688249894 191927625 394065244 502789592 1000000000000000000 334914155 215740951 273321601 55169113 1000000000000000000 831471216 813251313 286761934 436734549 1000000000000000000 102106945 53125910 1125161 17864914 1000000000000000000 134051292 55566 4798682 33544229 1000000000000000000 517676963 164778399 25735408 164433258 1000000000000000000 273426944 179352053 163021404 77548188 1000000000000000000 302300082 298948180 100901497 192891837 1000000000000000000 701765114 546664542 151702494 195508506 1000000000000000000 560149543 168881841 118460997 410740384 1000000000000000000 662382463 80321468 327999449 286165866 1000000000000000000 923289901 920157227 140567186 118286558 1000000000000000000 374769234 98078197 263879033 30109729 1000000000000000000 527718159 193841414 482517407 295323763 1000000000000000000 103913522 49030125 22359281 70591940 1000000000000000000 400274714 350708418 246256206 247399450 1000000000000000000 981408610 668410663 678942850 414894018 1000000000000000000 535118318 270306119 380206321 217017632 1000000000000000000 355078260 260278229 82790724 81923428 1000000000000000000 537873987 210439170 123421415 479670497 1000000000000000000 425349560 421221240 33101093 143085780 1000000000000000000 191854871 107664375 47687873 187712102 1000000000000000000 449571913 108814283 378319277 340797721 1000000000000000000 660004977 54842881 164379214 640285432 1000000000000000000 369657407 116138667 269340427 136824613 1000000000000000000 252969230 159860917 68729459 137002640 1000000000000000000 693306501 626431064 628651891 316246108 1000000000000000000 868864031 771772689 606606594 312391446 1000000000000000000 173819837 76502466 169764649 98794756 1000000000000000000 296456239 33455207 165886114 243779274 1000000000000000000 672707476 7723690 64122997 571166249 1000000000000000000 609110196 31063275 149663257 137978858 1000000000000000000 507262455 158866555 319786378 193354748 1000000000000000000 283240002 94425214 89302062 200082162 1000000000000000000 208291174 13405268 58865611 11763003 1000000000000000000 656924927 444760485 24481587 539450774 1000000000000000000 559402349 164202098 120344235 393191987 1000000000000000000 300095062 99796728 206165269 189483452 1000000000000000000 76318925 57992735 4113448 32273714 1000000000000000000 540636300 404364453 483801063 162564485 1000000000000000000 840618608 490974209 742981441 241966848 1000000000000000000 285145884 59137877 37974987 3166782 1000000000000000000 843926438 409291675 651780250 520305732 1000000000000000000 560773797 191574570 15380849 422681752 1000000000000000000 624138473 336100663 11132325 457197037 1000000000000000000 976665956 33648320 482103886 887683463 1000000000000000000 230234888 207843493 122246743 106353980 1000000000000000000 692950612 465691166 688239755 155225624 1000000000000000000 182283141 5271760 96219317 176179396 1000000000000000000 956149268 854956076 390677681 327796890 1000000000000000000 88476654 59078352 21842989 12821457 1000000000000000000 325687448 227280113 170458293 299048796 1000000000000000000 374611271 191342294 142839827 277247227 1000000000000000000 823156792 105172613 797389373 344386358 1000000000000000000 859528404 594414217 350450320 219620256 1000000000000000000 563157686 366718870 104033232 416685321 1000000000000000000 266343715 200369776 134940293 207486000 1000000000000000000 919102391 670388822 336193289 819990194 1000000000000000000 138919454 42945435 62486604 111054288 1000000000000000000 568862112 319244943 490654143 507674317 1000000000000000000 541043573 203356705 154718804 58230715 1000000000000000000 616228602 93960098 347908604 540836643 1000000000000000000 476556531 446769088 139759215 135084187 1000000000000000000 228106696 180820493 71078778 20110146 1000000000000000000 129806701 103216745 122506594 53836229 1000000000000000000 195241451 47340271 167025641 167489488 1000000000000000000 928483410 802950771 894277346 847411385 1000000000000000000 659641980 154863540 15242230 616853750 1000000000000000000 39890921 30241740 16234835 35667579 1000000000000000000 199790550 150984356 139291851 77543019 1000000000000000000 566783139 222832441 187523752 235984551 1000000000000000000 347022206 244026466 225977109 17988152 1000000000000000000 973868182 601099145 957168699 648784488 1000000000000000000 84640933 49153610 30193902 70994181 1000000000000000000 570775306 454487437 565651378 86074840 1000000000000000000 396469217 314717468 30664177 48705911 1000000000000000000 919497221 372486382 147594637 362814641 1000000000000000000 49970232 46508469 48422832 22304189 1000000000000000000 274653894 58825385 169420228 103775081 1000000000000000000 291706623 143757405 242960012 87539060 1000000000000000000 678987503 47819340 543427227 450891973 1000000000000000000 73585620 38831603 66971937 62002971 1000000000000000000 513351636 440074606 258557481 362555709 1000000000000000000 917374359 99015825 658247081 679082157 1000000000000000000 889899804 766772279 705960541 652597220 1000000000000000000 745954201 227880458 191905152 707148576 1000000000000000000 502880801 344084130 351558265 426117609 1000000000000000000 251631313 246590134 174129726 72493098 1000000000000000000 694718134 556721362 10919155 632531625 1000000000000000000 335221388 284692967 317985398 6195735 1000000000000000000 786158918 301803987 754578080 525805142 1000000000000000000 641631772 22557798 617057877 230340726 1000000000000000000 906305663 125157376 291659371 361484313 1000000000000000000 398727689 133303319 155832864 165350029 1000000000000000000 366314638 243068357 275149423 248386571 1000000000000000000 615467730 213048275 445214273 13959281 1000000000000000000 989159104 542813505 703958577 26058129 1000000000000000000 552090982 245687250 428627049 18629479 1000000000000000000 370118290 284968183 26419436 116311784 1000000000000000000 427331353 28111309 265920897 20771899 1000000000000000000 176174028 123684414 97585656 133141008 1000000000000000000 585815888 400045473 563479526 14845013 1000000000000000000 403886594 201876314 258047318 185246910 1000000000000000000 84568923 47519355 55730941 73091870 1000000000000000000 289290549 138608010 54968794 274928079 1000000000000000000 243603990 26251913 220475916 213534612 1000000000000000000 690945111 325853323 599465689 271099858 1000000000000000000 832313782 348548855 643533608 406286972 1000000000000000000 818399441 662692900 508795945 708007887 1000000000000000000 814532915 224494894 454985265 148496894 1000000000000000000 140890413 57137747 3360770 110188676 1000000000000000000 866241071 101012964 547356160 857873069 1000000000000000000 523624755 256813364 416278015 4150232 1000000000000000000 369312161 298710593 342709377 76659728 1000000000000000000 792046609 521452419 741473915 509529104 1000000000000000000 284379990 155929608 194424522 123257004 1000000000000000000 523293691 127217067 501518221 225678208 1000000000000000000 873476860 832602348 557406986 406662849 1000000000000000000 700053699 198984623 143489586 197627928 1000000000000000000 329273615 251090662 175918138 234203649 1000000000000000000 784459527 182380390 334303068 331373253 1000000000000000000 332852219 218590659 156342429 38448304 1000000000000000000 218976406 126062683 21397830 72418715 1000000000000000000 431309985 399337235 41881549 76512906 1000000000000000000 42835422 31265872 11055639 27610041 1000000000000000000 362990868 29717579 4048576 159353814 1000000000000000000 236084212 25652981 101674188 223045287 1000000000000000000 6405841 3704745 5273156 4467500 1000000000000000000 566347538 163526312 497378425 10557854 1000000000000000000 290992886 230835219 62563293 155650018 1000000000000000000 400761220 90960056 341553661 93650394 1000000000000000000 239612854 92218650 37560591 69124252 1000000000000000000 824637556 701466930 763681979 71705583 1000000000000000000 881972087 583904099 492230163 675062958 1000000000000000000 950118186 909708108 818868323 313112137 1000000000000000000 933122574 418370321 796040129 576256363 1000000000000000000 139154092 123836120 74235215 130887911 1000000000000000000 100562319 4915850 5022251 43252389 1000000000000000000 43701129 40890290 30924699 15272362 1000000000000000000 140363894 121430711 105113659 66051631 1000000000000000000 764356996 622487369 678528645 26512535 1000000000000000000 492822657 165840067 357241638 8843017 1000000000000000000 421806286 400107263 350814910 389347685 1000000000000000000 224872267 142998520 98295149 46466645 1000000000000000000 352148587 315663260 282821561 9344934 1000000000000000000 165296379 80826545 98572355 114288431 1000000000000000000 331020718 10929014 308610665 166896104 1000000000000000000 373333915 102451335 135787571 34881444 1000000000000000000 638025696 53812503 350924285 273020459 1000000000000000000 30045127 18648986 21163984 14197758 1000000000000000000 661451170 67973387 198380892 568382602 1000000000000000000 537649154 459686776 101355848 142167562 1000000000000000000 197867220 91359289 34613066 177569141 1000000000000000000 719669988 211692171 107254168 130080035 1000000000000000000 120982380 49825752 117938248 116176676 1000000000000000000 965594925 454151970 298282099 601260118 1000000000000000000 759427395 101689614 683256203 176745851 1000000000000000000 27392188 27068489 25589928 27348462 1000000000000000000 458978559 286084511 53858095 14152198 1000000000000000000 412574137 285918012 124459491 118714491 1000000000000000000 52284348 7564484 50008896 15315063 1000000000000000000 610235292 561194424 498518659 427712856 1000000000000000000 604488846 11937130 244315644 408969916 1000000000000000000 869765723 610367879 116780462 709173504 1000000000000000000 743607237 687590664 196328273 16596147 1000000000000000000 140821199 71068121 128311259 126227128 1000000000000000000 917599682 229997965 594218145 771280494 1000000000000000000 166607472 147330636 17233495 141182975 1000000000000000000 811724681 210049808 169925314 553635024 1000000000000000000 609714881 69531866 255668253 172418681 1000000000000000000 160343199 124826784 111094833 35116342 1000000000000000000 853533994 92623496 371871681 439159040 1000000000000000000 188560995 15998676 90202283 62004505 1000000000000000000 173856900 87226478 126732589 52020123 1000000000000000000 670799124 574116266 346059029 45893603 1000000000000000000 56521446 44857181 49903091 8371069 1000000000000000000 232314983 177199511 201797293 141609973 1000000000000000000 973130125 30415472 213950539 436182382 1000000000000000000 379278183 184514156 58977732 350542134 1000000000000000000 865657083 577914540 291240031 378219745 1000000000000000000 781597971 545359356 236642791 118109018 1000000000000000000 83792160 17805411 20206632 22423219 1000000000000000000 645454473 494315442 630686985 458415620 1000000000000000000 608238322 148265501 233348236 397116329 1000000000000000000 815567570 549610759 143058221 410570011 1000000000000000000 760284779 307675653 207972134 165080593 1000000000000000000 427494602 93410224 389832714 44337482 1000000000000000000 346485235 273223452 343735248 150854661 1000000000000000000 329832891 126689266 316030386 217456951 1000000000000000000 391101583 360149654 128781681 205707900 1000000000000000000 422482125 55951951 223228702 350703966 1000000000000000000 871588626 398502232 152161464 794690190 1000000000000000000 136896289 93960732 104323256 77836927 1000000000000000000 500303044 334057461 153182010 50995551 1000000000000000000 857379543 568065935 602270388 94538275 1000000000000000000 12418155 10759585 11357611 6456601 1000000000000000000 357203068 170067630 126147499 127329463 1000000000000000000 133508911 5751671 25085476 22342056 1000000000000000000 680677135 98634986 54124850 67687952 1000000000000000000 189976356 121785807 130326729 120423528 1000000000000000000 922004948 446787077 790707060 133401739 1000000000000000000 169557873 755527 29820548 169405286 1000000000000000000 407124684 376377949 214450539 396283637 1000000000000000000 79890004 72196145 1688319 42216833 1000000000000000000 173716887 35244120 121520600 33835666 1000000000000000000 342612743 234403427 24942239 312452740 1000000000000000000 679145499 625439306 406577343 463665238 1000000000000000000 303827928 181999076 121207590 194574679 1000000000000000000 520763263 270414028 214951824 485151092 1000000000000000000 536929234 468864021 248657228 108952216 1000000000000000000 959349832 818282173 418140985 934658414 1000000000000000000 398628625 381146953 66811924 254798128 1000000000000000000 359813892 346974371 219392765 340658990 1000000000000000000 620695758 404910717 320200742 113977974 1000000000000000000 735653240 271237883 642587103 716465652 1000000000000000000 705205617 503513855 145981154 507362784 1000000000000000000 695316366 314580659 477011618 670102887 1000000000000000000 9749213 9653886 4866483 84531 1000000000000000000 173489785 122394956 4763675 23463662 1000000000000000000 654508053 224456282 423655414 476299485 1000000000000000000 649055687 153155972 446824741 203636935 1000000000000000000 469445115 360487070 71167981 287327091 1000000000000000000 366205401 138505487 263787089 203524992 1000000000000000000 806766611 49581519 613936598 115332177 1000000000000000000 616683237 109166126 178951058 93656851 1000000000000000000 913550164 104410310 71688640 845110602 1000000000000000000 687251819 490590317 561598452 271094901 1000000000000000000 914679495 696845266 449454830 702780519 1000000000000000000 267126056 180125346 120881617 66328242 1000000000000000000 379287419 340757110 313524413 225527254 1000000000000000000 902805724 285181651 393134291 337008052 1000000000000000000 814851571 223546511 8957557 345390181 1000000000000000000 960471269 813481594 810702058 101870753 1000000000000000000 637963479 287417431 377628555 204516673 1000000000000000000 39826830 3520589 4515065 23625822 1000000000000000000 838814228 764704522 607998468 359436764 1000000000000000000 766635877 756430197 574451809 741949925 1000000000000000000 999372405 155668718 950989251 544760729 1000000000000000000 493625052 63069002 130918793 440821231 1000000000000000000 362344443 339334159 342052748 244016040 1000000000000000000 849639331 138621805 539064422 226676438 1000000000000000000 85401203 80688360 32789041 43432411 1000000000000000000 148883651 81217950 64275931 104416705 1000000000000000000 930006280 359760051 195356338 899733560 1000000000000000000 234140029 171409240 147030039 28370480 1000000000000000000 469741857 326850776 332732438 414639409 1000000000000000000 202285885 75520222 3653005 58605882 1000000000000000000 839712408 656073686 407318468 506638844 1000000000000000000 546835318 24165888 528286106 169579431 1000000000000000000 558198741 58554652 163538613 490422514 1000000000000000000 116241078 15741655 15057740 1278980 1000000000000000000 634425593 279610826 575248943 618343614 1000000000000000000 647664796 37520070 154747078 339845433 1000000000000000000 758544730 30682073 313748793 622969166 1000000000000000000 147441370 76849463 4740379 141016442 1000000000000000000 58127564 48250248 49392940 10216799 1000000000000000000 902257575 601603047 34892899 572491055 1000000000000000000 792020705 422162176 149431929 469668325 1000000000000000000 844272785 623985235 724282129 581128900 1000000000000000000 727383927 703010349 624657000 704890872 1000000000000000000 350132208 325466717 26523975 189768186 1000000000000000000 549631448 86442291 461234494 415059775 1000000000000000000 560123257 113267049 348071976 368180923 1000000000000000000 218327454 24978568 90555937 57141120 1000000000000000000 269500278 236643730 76594701 102333469 1000000000000000000 22133819 4958773 5935694 19883970 1000000000000000000 223084893 192174784 75582800 186800816 1000000000000000000 640743217 474449622 313569272 18610635 1000000000000000000 99282400 61616588 34388410 62504630 1000000000000000000 241163099 136351045 17231559 5302909 1000000000000000000 633339947 307121572 256023182 287114922 1000000000000000000 682146475 524145557 234782007 147046888 1000000000000000000 374415993 174598969 71066254 22506815 1000000000000000000 452892668 4183621 44545887 290122191 1000000000000000000 236940486 4609500 229996725 82297917 1000000000000000000 180160017 8930689 48669506 144918545 1000000000000000000 317590128 214695751 213135158 207666185 1000000000000000000 720548643 503374866 159992740 486472126 1000000000000000000 181996798 176238935 15196784 145540434 1000000000000000000 930440673 226727587 778016725 199918729 1000000000000000000 551942863 438317902 125002836 321972990 1000000000000000000 213900871 146805490 128478377 1177889 1000000000000000000 679041690 415065893 67192104 481281306 1000000000000000000 612839916 255926510 85531076 612361600 1000000000000000000 564890280 129788012 557749139 43257932 1000000000000000000 180743904 9262055 82243699 106913523 1000000000000000000 10969301 4677810 1601832 1456658 1000000000000000000 321981390 81444121 171186863 210130132 1000000000000000000 59541801 37546397 53950312 41227353 1000000000000000000 768234091 14393684 478177599 737193902 1000000000000000000 569806614 298766559 54456478 396050260 1000000000000000000 190797038 148143762 77555864 53191526 1000000000000000000 636985050 127507163 606874551 356006975 1000000000000000000 847302783 385709750 384629299 402529392 1000000000000000000 74172375 56268639 46247400 24247699 1000000000000000000 27067566 1214333 3160561 8397993 1000000000000000000 541778857 176732559 133989876 289374627 1000000000000000000 788647003 708752297 136976767 204129169 1000000000000000000 75833116 26230538 27361933 37735245 1000000000000000000 991527134 420205053 597189465 666576264 1000000000000000000 640841799 620126689 112325533 40643666 1000000000000000000 524021445 301052191 428690349 153026507 1000000000000000000 265336702 244461560 180966688 181752036 1000000000000000000 599861813 48208831 161130911 353721022 1000000000000000000 526072634 281730584 190083806 4564236 1000000000000000000 585226772 85825584 347518139 180538664 1000000000000000000 442403502 68242855 406239622 61352209 1000000000000000000 92464426 31362785 53536825 47980750 1000000000000000000 357905660 208348157 247197026 320933851 1000000000000000000 746940049 1265794 708662876 280547777 1000000000000000000 601390510 163503566 414115105 33403496 1000000000000000000 411151717 407311112 394675631 233261466 1000000000000000000 737669318 616972201 683587486 590324423 1000000000000000000 560598879 243975220 469818693 261627707 1000000000000000000 421794030 55782375 353614921 135967325 1000000000000000000 526013792 233248857 43115331 93824645 1000000000000000000 302412283 21402843 272896014 68830141 1000000000000000000 572820886 397751316 74295490 426215125 1000000000000000000 53694513 25289893 26025230 42144765 1000000000000000000 301274764 58290243 114829470 97281897 1000000000000000000 297981777 125860876 169172595 279602196 1000000000000000000 460152412 32303665 356630275 378424722 1000000000000000000 110746636 46173036 74928290 28874852 1000000000000000000 773287407 267245774 487847066 683578190 1000000000000000000 830191753 31489846 533996051 164323097 1000000000000000000 959203284 809489370 411151511 110424389 1000000000000000000 257326200 153879328 137007993 95464500 1000000000000000000 799568569 698508298 791062961 265115083 1000000000000000000 165598438 36531376 9674622 20738835 1000000000000000000 143345673 10337955 113803442 126208029 1000000000000000000 35925152 21609048 25486867 14187506 1000000000000000000 339333401 99032050 77637058 94438831 1000000000000000000 318767806 231198900 158857894 138160339 1000000000000000000 483124277 228323937 245274725 478714066 1000000000000000000 558395219 206241094 143835328 262190554 1000000000000000000 272197435 239667343 222406719 113916139 1000000000000000000 946324124 861525605 677716712 517363109 1000000000000000000 563276662 320123441 383788281 518825567 1000000000000000000 62846513 10463697 55218147 40883972 1000000000000000000 36741422 36067996 2397163 8085250 1000000000000000000 226573750 159948789 136959072 206822326 1000000000000000000 870780843 58698835 353148892 755008923 1000000000000000000 5657213 2921179 3864270 2342415 1000000000000000000 148290948 125186837 77679536 27420915 1000000000000000000 36780618 9319275 17035080 5496304 1000000000000000000 527052941 187025680 296376112 102160529 1000000000000000000 294779394 41320980 146483031 106686648 1000000000000000000 794575862 500428670 357754181 308007212 1000000000000000000 756278572 638028350 475426253 384332373 1000000000000000000 588514725 484770120 297629919 389016672 1000000000000000000 773385369 454781860 238880541 383171862 1000000000000000000 572868911 16713745 252115385 248129267 1000000000000000000 777300786 638606476 624799078 514917708 1000000000000000000 885493192 809108719 128680469 29350245 1000000000000000000 29561404 2147016 25222095 12916016 1000000000000000000 376359312 18876694 301171341 308100855 1000000000000000000 901365104 652115177 488166473 654537641 1000000000000000000 218619971 46235037 139838489 118483652 1000000000000000000 759803973 84300859 59490809 416210741 1000000000000000000 717816176 565881680 342488919 381826166 1000000000000000000 561019910 327861371 123802755 226928619 1000000000000000000 612776872 405896837 373233988 115773131 1000000000000000000 20677138 1462520 12862483 9131976 1000000000000000000 629333055 64874200 8862337 216458626 1000000000000000000 729652605 12799759 327871701 92743857 1000000000000000000 325229921 89010293 143392020 110586678 1000000000000000000 624207055 414404653 278248809 170797925 1000000000000000000 404545702 65867653 378567613 71467242 1000000000000000000 648163888 28136024 227736081 59803168 1000000000000000000 971833272 950474711 316015715 345383282 1000000000000000000 698780801 152358381 358316974 143623215 1000000000000000000 256275880 247183844 108284656 211552144 1000000000000000000 534037280 253975073 108590758 315030326 1000000000000000000 993108839 700022565 682890924 56054893 1000000000000000000 784521597 416235967 177866578 495610283 1000000000000000000 251989296 29900969 21725260 678478 1000000000000000000 678517586 543542697 540290843 318270238 1000000000000000000 498958214 103446911 47336667 407124083 1000000000000000000 836151285 124342780 500885392 325684178 1000000000000000000 600863818 582987766 447044288 539493989 1000000000000000000 955576129 452206377 538650066 731533942 1000000000000000000 266588385 129449479 150821747 77783414 1000000000000000000 899000811 64481637 372139591 461439841 1000000000000000000 173226847 101341793 93361420 139747542 1000000000000000000 976367313 873697575 322885529 49434049 1000000000000000000 986892888 820454180 829694495 539903147 1000000000000000000 503509359 184312604 30944724 455693708 1000000000000000000 785915734 5042195 413196402 58588889 1000000000000000000 945124545 237920006 764440183 297764931 1000000000000000000 175833493 63396265 32258184 112329095 1000000000000000000 562131679 329129298 51221455 157072321 1000000000000000000 643561521 532700288 162282842 280554367 1000000000000000000 830331957 825924405 827055907 760309103 1000000000000000000 228308611 189574975 124115453 68026773 1000000000000000000 487391432 293822479 223192819 263745617 1000000000000000000 169276530 4764287 105411148 150919571 1000000000000000000 338422165 2841465 283540514 100830909 1000000000000000000 555582376 243323662 25043093 421910079 1000000000000000000 161884389 79549349 156103210 132204026 1000000000000000000 53491039 47737404 31107318 8808594 1000000000000000000 546976778 519378828 321432471 370537039 1000000000000000000 18950797 4664998 11606712 284393 1000000000000000000 162130516 43385601 138309174 144906056 1000000000000000000 475374356 227722178 83376722 234815892 1000000000000000000 350649691 106788425 340121118 10094423 1000000000000000000 353741958 55818944 264027587 189243185 1000000000000000000 61392116 27462470 30874915 8309773 1000000000000000000 343209652 341125142 276197204 146126728 1000000000000000000 912954763 353590101 229554024 476682561 1000000000000000000 820534840 339254767 263847358 27452141 1000000000000000000 835770505 676917459 60314831 575936653 1000000000000000000 557006858 420315563 340217960 372415948 1000000000000000000 279250601 264583127 27708439 76504475 1000000000000000000 896404517 685419308 88397494 635632734 1000000000000000000 462888842 437495438 405165993 19702731 1000000000000000000 186645959 37380346 59823327 152125628 1000000000000000000 70557568 15303835 37358697 36907152 1000000000000000000 47921661 47244113 39594230 8040017 1000000000000000000 748080982 251813272 443260001 453630247 1000000000000000000 691584487 549488055 206753665 388658479 1000000000000000000 873932129 150093434 550109306 294999775 1000000000000000000 552673159 514643461 176678179 318692774 1000000000000000000 72616021 4766032 11844967 46295132 1000000000000000000 435159939 157405078 34166974 404758940 1000000000000000000 927723519 795765963 31436235 347018917 1000000000000000000 830226557 392405929 254062375 87336340 1000000000000000000 175339560 54134481 3312352 154560954 1000000000000000000 547098435 526900651 5778473 120758775 1000000000000000000 712779802 694960369 470736339 235867993 1000000000000000000 444253089 290406674 289731863 20320338 1000000000000000000 522731116 323655151 479012528 260495798 1000000000000000000 455435464 340957023 205077883 437276561 1000000000000000000 667161785 186925002 362946514 297262366 1000000000000000000 125881279 12267484 81294879 63247900 1000000000000000000 868673951 712335701 742051173 155323864 1000000000000000000 627971282 454198084 389699093 226579132 1000000000000000000 10883682 6523738 9433714 2587881 1000000000000000000 417882139 351221441 13666415 55795188 1000000000000000000 357196076 286588039 88118685 333630606 1000000000000000000 852961532 375634971 556014812 803992659 1000000000000000000 503461024 20542396 37129018 173867514 1000000000000000000 232414211 30760494 29247502 178991956 1000000000000000000 105008954 32987645 95762333 35739874 1000000000000000000 898171644 229289414 875743449 514742721 1000000000000000000 938370170 47012943 490892074 192438560 1000000000000000000 206924053 163819812 146627739 193195214 1000000000000000000 585669085 481362780 860269 423119870 1000000000000000000 373844873 270103313 239233441 326810483 1000000000000000000 337573517 28120443 144188038 186262853 1000000000000000000 511512166 126526244 357431544 463868159 1000000000000000000 183491242 83173042 67270230 78533775 1000000000000000000 745539941 7751636 122028105 683678181 1000000000000000000 18223859 12080217 8296052 2145132 1000000000000000000 951797000 787609020 645908702 882910834 1000000000000000000 144968540 86720277 106142603 54670268 1000000000000000000 533258207 395802468 173280337 361269324 1000000000000000000 899676731 377153216 667653078 752732269 1000000000000000000 431719799 306597531 197126595 383681767 1000000000000000000 303255529 199789183 124384636 17615800 1000000000000000000 750263017 112795051 511990995 271383691 1000000000000000000 564403791 249395995 318489861 361731430 1000000000000000000 874092608 339275523 108569533 778819255 1000000000000000000 604274143 478288818 492831148 4778388 1000000000000000000 18103861 14403578 68449 12430102 1000000000000000000 644789391 408848463 257024332 23220810 1000000000000000000 217794558 83317734 121450408 115536922 1000000000000000000 242159574 99793048 8364062 39080101 1000000000000000000 189546506 31495877 145064001 65627964 1000000000000000000 447794104 19250574 236060034 130643703 1000000000000000000 440774438 32904599 171683776 434351488 1000000000000000000 240837975 86544850 149251559 11644598 1000000000000000000 746659908 377753668 276126876 552133361 1000000000000000000 824173560 603549801 376245173 203811050 1000000000000000000 392555091 42379538 186433276 69608276 1000000000000000000 550650119 476923441 472823633 530835200 1000000000000000000 35546653 34438746 3496732 26145311 1000000000000000000 29221926 12549764 3289161 8003241 1000000000000000000 984461655 617242444 641632222 638940118 1000000000000000000 793071574 376633654 27109834 245196709 1000000000000000000 935817873 561648703 8362198 925484058 1000000000000000000 595329144 396306490 85255396 60437630 1000000000000000000 497695675 181806159 494060009 343454416 1000000000000000000 623678183 199259891 71280574 554255563 1000000000000000000 328059466 94156887 8902477 112389763 1000000000000000000 272508658 270841367 222788222 27925109 1000000000000000000 229806924 57195351 71068763 181130303 1000000000000000000 379222297 265845097 229941472 101441244 1000000000000000000 292712087 143839404 267314227 288248988 1000000000000000000 570673493 236569203 87430435 134112165 1000000000000000000 288533974 245651473 126623929 248955306 1000000000000000000 371842515 317474124 58148733 139268323 1000000000000000000 359010114 278444075 121882280 140616176 1000000000000000000 588404286 86896683 564462615 317911422 1000000000000000000 870141447 594593638 1795235 41870313 1000000000000000000 739412653 285124141 409068554 676748530 1000000000000000000 172742995 132331366 14558433 82345565 1000000000000000000 893026668 73421366 660252564 434932176 1000000000000000000 59943174 52169123 8744276 39851492 1000000000000000000 609404660 378047341 163650871 35118499 1000000000000000000 997256091 392346387 204546424 625623347 1000000000000000000 92998626 2978820 16366018 85670090 1000000000000000000 805573947 787679522 666609521 113466941 1000000000000000000 262726390 181193425 208548273 165732339 1000000000000000000 324929876 159075576 29105340 190712503 1000000000000000000 877621997 502394897 668911380 561267956 1000000000000000000 572146941 381926238 377205328 274220796 1000000000000000000 450530251 105728256 302275027 269356448 1000000000000000000 667192909 346860917 469123918 2087676 1000000000000000000 540739227 161951811 122127046 191405643 1000000000000000000 44864869 28129855 3081491 38854969 1000000000000000000 818443427 598589261 814620251 128379378 1000000000000000000 25621651 14049367 16897373 20039950 1000000000000000000 842212048 778130799 821531536 322895935 1000000000000000000 715257483 334973343 639191660 463042983 1000000000000000000 805713792 99356060 60749596 605790074 1000000000000000000 584473668 314248220 199878634 213773149 1000000000000000000 23169895 6203612 16544295 1970387 1000000000000000000 594722695 62627836 341561247 466337141 1000000000000000000 465324149 434645217 304852090 428550086 1000000000000000000 908685834 17445616 452408503 783449114 1000000000000000000 226356693 125024929 185725562 84391751 1000000000000000000 883892503 675147719 123595450 456568843 1000000000000000000 716757212 240604390 39847978 488153962 1000000000000000000 962369933 187037845 686869057 485094459 1000000000000000000 389422839 248123192 62806816 55417685 1000000000000000000 517234869 443545276 411796154 454445855 1000000000000000000 438401045 146637032 80085100 198525660 1000000000000000000 424448514 339590594 332765290 316770007 1000000000000000000 846777582 407306355 385410285 482151469 1000000000000000000 118990772 111276170 38330973 50326309 1000000000000000000 402670641 204225955 7748702 61700530 1000000000000000000 470999135 371532950 205068129 464019216 1000000000000000000 410335962 213717510 306150194 259318802 1000000000000000000 728378495 57619632 233147488 427827306 1000000000000000000 966672725 800065917 293580815 114841751 1000000000000000000 717769283 334736339 565527972 473413400 1000000000000000000 318301890 227148389 90425770 228395084 1000000000000000000 904206 714365 379679 790919 1000000000000000000 845979642 769041222 482535404 723919020 1000000000000000000 215930252 108029868 127822252 183452668 1000000000000000000 124305518 95923698 118550158 92419666 1000000000000000000 708350614 112524808 103360122 328133672 1000000000000000000 422879653 59930605 122463947 84599401 1000000000000000000 117243091 90065490 10597015 56200923 1000000000000000000 948739386 505605439 564001224 597482238 1000000000000000000 784525061 577511181 319438206 142987345 1000000000000000000 671394543 449400092 516028963 383194817 1000000000000000000 429413760 1368948 156318318 227485943 1000000000000000000 207287101 77684156 156387152 200978849 1000000000000000000 57244948 10330242 47135524 21532401 1000000000000000000 208410263 167283156 47518911 205637392 1000000000000000000 785519991 356902492 231634475 716949860 1000000000000000000 774073273 553221564 237751062 417194395 1000000000000000000 82246947 1154766 59406256 63599426 1000000000000000000 973249600 32499879 753584936 101500832 1000000000000000000 373280483 132813987 157881837 23348906 1000000000000000000 434485409 72099481 21540855 92990491 1000000000000000000 747430798 589145478 285969636 376795140 1000000000000000000 642618631 541048496 403324772 396962472 1000000000000000000 633755496 557768910 18672759 109938159 1000000000000000000 483599125 428831267 404060492 46024607 1000000000000000000 287370939 41743731 134827125 151276034 1000000000000000000 601796720 114319106 335942684 467398512 1000000000000000000 867187447 738243309 358270509 90122737 1000000000000000000 813470654 549727724 339373265 722085827 1000000000000000000 17835711 7372424 7910713 14683248 1000000000000000000 877992467 87673206 52106275 743392112 1000000000000000000 943370461 709726938 404827801 629826613 1000000000000000000 526575206 453436146 170115922 491532794 1000000000000000000 341902821 26296861 319983537 338310302 1000000000000000000 209905085 209451646 134869216 39899416 1000000000000000000 653715485 422700503 141644845 396918141 1000000000000000000 919834494 729976740 806841287 295960933 1000000000000000000 149046856 78372218 60113424 38166036 1000000000000000000 772585662 587572381 204651279 752525394 1000000000000000000 124944741 51745443 78955649 15193312 1000000000000000000 597034139 319323664 139357456 590773413 1000000000000000000 172596960 57142198 73960065 61609920 1000000000000000000 122601095 6185593 3054967 46359834 1000000000000000000 325744751 191778888 131202325 35699824 1000000000000000000 603355915 73975618 278745531 477193209 1000000000000000000 997116292 618581414 159272457 286723407 1000000000000000000 490153849 342730008 158494851 467701655 1000000000000000000 517405256 104397324 347993165 376540289 1000000000000000000 152939636 59427205 34744075 63791696 1000000000000000000 409165542 281063203 28189764 126839723 1000000000000000000 533375326 421915309 472164196 72622073 1000000000000000000 94929345 80278376 38967813 79709287 1000000000000000000 45574986 28905883 5074789 4619272 1000000000000000000 413910316 390352841 340948488 358277172 1000000000000000000 277553987 40058811 154565852 101264239 1000000000000000000 90538936 67047594 21677234 5451384 1000000000000000000 369146292 234328556 223636685 144842461 1000000000000000000 827010821 113233432 625695033 370434260 1000000000000000000 803853001 487086257 223455187 707309281 1000000000000000000 38352620 10926408 12895447 16280704 1000000000000000000 39008227 36310954 21220072 34883450 1000000000000000000 218061973 173526188 113339884 60125256 1000000000000000000 823747981 547217640 365124889 68590788 1000000000000000000 374461994 85439571 169713936 183104315 1000000000000000000 64180705 45304425 46005791 29496106 1000000000000000000 650382604 245543256 233166485 296309163 1000000000000000000 561887967 502217233 237126789 393320062 1000000000000000000 866262811 75667762 449494319 802400475 1000000000000000000 526247236 7439141 334422718 174907209 1000000000000000000 695909274 283653957 517550282 138630707 1000000000000000000 223759839 73715608 137837317 199853613 1000000000000000000 721805597 720639368 655244971 250730095 1000000000000000000 788364492 463520507 530555975 187578698 1000000000000000000 705129552 37512559 279041727 653925666 1000000000000000000 892823439 16170577 880467001 832873947 1000000000000000000 308138935 276196798 171229375 35765165 1000000000000000000 499370534 86839892 301218370 113365493 1000000000000000000 518612352 459397225 359417122 69629704 1000000000000000000 735106944 519483245 69854200 652770726 1000000000000000000 185051794 138212479 22719361 129519524 1000000000000000000 431315621 207955918 101240082 200798214 1000000000000000000 945364488 873724517 604658629 818057697 1000000000000000000 932487609 220432880 744897602 918913288 1000000000000000000 735066438 298011778 360990068 317308770 1000000000000000000 955795960 97546726 614431852 99048640 1000000000000000000 891108999 400798245 202050898 398902058 1000000000000000000 229231464 71213644 51211850 88168301 1000000000000000000 928326512 794763673 822235545 529698990 1000000000000000000 86563605 74133894 43558952 13159515 1000000000000000000 232361554 181736565 215292925 17218901 1000000000000000000 407257053 231548984 6821927 239469411 1000000000000000000 734062702 451259978 385018774 541186592 1000000000000000000 31397082 12363468 5241689 23429012 1000000000000000000 254853391 101520267 246304746 144848021 1000000000000000000 226013804 136293690 28802373 41668623 1000000000000000000 410638536 134636320 133257100 187906473 1000000000000000000 296871415 249741232 202737958 293651311 1000000000000000000 866207867 115896358 751024311 273897099 1000000000000000000 136266731 116676715 15056481 6539492 1000000000000000000 325373651 242208568 314215551 80550972 1000000000000000000 662127288 487032556 323709539 462417156 1000000000000000000 646902691 31485171 189244486 279060273 1000000000000000000 629235580 294620691 221733937 383962832 1000000000000000000 800113509 125250324 619008367 339579653 1000000000000000000 437325801 25155825 160795712 242113926 1000000000000000000 566337033 500976558 21790398 146726475 1000000000000000000 458816309 277148131 315380380 182021881 1000000000000000000 746930318 117588623 57372314 486902177 1000000000000000000 360906168 82872052 79134984 159933477 1000000000000000000 979952625 638433428 600904454 198536845 1000000000000000000 131767213 9356449 63419748 42543923 1000000000000000000 390937474 96783555 159062603 275602422 1000000000000000000 750528135 620212505 401736732 292128987 1000000000000000000 295707085 9283676 3547916 98822569 1000000000000000000 872810738 282969362 375507407 126309904 1000000000000000000 951429663 382121763 55788 861690989 1000000000000000000 475866573 354460562 193216036 438868480 1000000000000000000 312340496 128696874 276751483 160624168 1000000000000000000 855997929 678066918 626695814 29508241 1000000000000000000 534363988 504205245 390504408 389626611 1000000000000000000 627224385 544092508 162964968 217548156 1000000000000000000 265646483 49915048 111442838 87901792 1000000000000000000 685674398 508430880 119547561 50529213 1000000000000000000 931137732 602134892 607030098 902456804 1000000000000000000 624387714 216657934 233864573 394060086 1000000000000000000 609605626 102614810 291051299 486681143 1000000000000000000 453120319 361970905 367307565 226646343 1000000000000000000 962326705 915547166 473741703 23483262 1000000000000000000 869251137 589650405 765253879 10153043 1000000000000000000 358357052 245955840 341820876 26760870 1000000000000000000 774578152 704369259 223248106 496215202 1000000000000000000 895690683 421449480 329220321 337774226 1000000000000000000 999228211 815676410 187079011 40392846 1000000000000000000 394295908 300857898 292847055 153123417 1000000000000000000 699921707 262514578 406602450 409812613 1000000000000000000 637857623 327032468 450616340 180719407 1000000000000000000 344019736 25787246 121665238 192140473 1000000000000000000 967073878 347567915 849418973 545436948 1000000000000000000 423911069 366144000 190807735 166702604 1000000000000000000 289292898 177022251 286428836 193136277 1000000000000000000 6740875 4710397 2410842 2966951 1000000000000000000 12626618 8358948 11484617 4525916 1000000000000000000 706478444 695558675 163308446 535393123 1000000000000000000 282881360 252081640 80778151 271021878 1000000000000000000 418097773 91118995 4312108 339938513 1000000000000000000 407632512 115147069 172186184 212915725 1000000000000000000 909146638 762813666 755164187 103624665 1000000000000000000 560893616 135725784 65329199 341856126 1000000000000000000 568019402 449947298 517500942 315554805 1000000000000000000 447271048 86392622 90279889 36609391 1000000000000000000 459111912 384961664 264198134 72423080 1000000000000000000 20204344 15704517 18845251 5020461 1000000000000000000 294958785 207404851 94607513 174002765 1000000000000000000 294728097 284885195 124664215 269262086 1000000000000000000 141807541 30998833 54086863 90994344 1000000000000000000 28597703 24040596 21239230 16276541 1000000000000000000 998245093 400436072 534123096 71290552 1000000000000000000 789903030 169366516 26634711 573563872 1000000000000000000 312114370 122773378 216416240 79887404 1000000000000000000 593704035 408271684 235935259 211399681 1000000000000000000 132463964 49110663 25016471 126722674 1000000000000000000 970367693 251326997 56726279 944333061 1000000000000000000 845707477 336436482 784934134 586852793 1000000000000000000 23696441 19301872 19107178 22618539 1000000000000000000 654934196 558245818 296863301 139750689 1000000000000000000 359890603 88469958 28551527 305525199 1000000000000000000 666935549 310627498 416609804 41441531 1000000000000000000 187746307 33295397 144517415 183890734 1000000000000000000 102529672 79963236 40253890 83548130 1000000000000000000 808669929 554188669 777037595 639671628 1000000000000000000 158277317 55598620 117094182 2505060 1000000000000000000 208782316 88844473 176682091 152155345 1000000000000000000 175216673 33523553 64741831 95310010 1000000000000000000 183526916 86525872 57552144 66229927 1000000000000000000 972186873 516723166 832119274 227767269 1000000000000000000 434698246 265338967 190229561 296609661 1000000000000000000 699414092 694695987 3657954 349914896 1000000000000000000 471136496 162666639 109768151 239681272 1000000000000000000 721970693 170896966 516180712 670393571 1000000000000000000 274025161 52262122 62292480 194046074 1000000000000000000 195543024 4828829 59486425 102743242 1000000000000000000 359805208 47982527 191411578 31639113 1000000000000000000 378515564 188509684 343404691 311887580 1000000000000000000 341053243 9798770 66774134 169530777 1000000000000000000 428710599 127705213 49959126 307623539 1000000000000000000 720797538 93460336 415508980 484694543 1000000000000000000 762867668 24446971 390690003 37984680 1000000000000000000 86353490 52479647 6180683 28880383 1000000000000000000 595651429 274122434 111272630 210391565 1000000000000000000 472437601 245119873 203445677 408208002 1000000000000000000 597496257 549944149 325327540 525972093 1000000000000000000 305879532 234464830 72855516 116757033 1000000000000000000 265241746 55933806 247594184 151291877 1000000000000000000 721121766 94687124 373988756 252176382 1000000000000000000 325738287 77778281 291903694 221532990 1000000000000000000 446993372 239210452 206481535 38430878 1000000000000000000 96488098 86896905 34749360 95026638 1000000000000000000 727874892 478197975 126703915 512523481 1000000000000000000 789142318 231990432 267950974 442806293 1000000000000000000 410826709 228089030 2472954 184697418 1000000000000000000 118544807 64057764 49526072 88942786 1000000000000000000 802275862 343846061 461650416 585615967 1000000000000000000 406481599 35532070 145135410 45768890 1000000000000000000 18843957 573711 11897150 11527959 1000000000000000000 962125795 775459264 342203340 728113460 1000000000000000000 180767769 70315084 19605397 102103428 1000000000000000000 340208595 246725742 266122788 256254476 1000000000000000000 80642221 36007026 49970851 56709222 1000000000000000000 809240891 117528075 90028432 357625888 1000000000000000000 144085490 78496235 37568608 72563100 1000000000000000000 586318869 424356284 375565425 167566734 1000000000000000000 804232156 717635839 737831020 479452472 1000000000000000000 821192011 760541903 485355041 280047461 1000000000000000000 256037493 170830581 66380532 159244584 1000000000000000000 781964595 33398293 307623967 170247577 1000000000000000000 705834433 653079417 110846238 542676587 1000000000000000000 347962910 112146855 190890987 325095709 1000000000000000000 490161347 52304121 392323989 48509349 1000000000000000000 175168350 154286350 95013172 44078676 1000000000000000000 682287893 120070019 345704731 642970084 1000000000000000000 242753653 84303886 135528782 105836671 1000000000000000000 926451133 210697496 781550010 514285680 1000000000000000000 86972368 65947634 51988274 49406038 1000000000000000000 159531155 127704515 42479851 3330751 1000000000000000000 664643371 259989680 107280877 175354082 1000000000000000000 394780275 130657677 296815199 151273446 1000000000000000000 327363360 112805954 161943293 309669552 1000000000000000000 254827578 61743111 115481008 99876725 1000000000000000000 39270086 19202812 2844115 2129126 1000000000000000000 338854613 6026218 267294614 301521235 1000000000000000000 417926220 246627772 166992071 244352771 1000000000000000000 44586545 31165477 26725942 27673001 1000000000000000000 784981999 622057135 145128080 320819517 1000000000000000000 722632873 190988538 538765199 55867679 1000000000000000000 625354330 144652217 49611221 140124381 1000000000000000000 490437066 285459662 475167394 93174389 1000000000000000000 419774676 73125088 389337297 236453243 1000000000000000000 20307792 15020035 13487922 17267882 1000000000000000000 335346999 54669349 310912554 12770619 1000000000000000000 783489121 682341088 68391278 395547761 1000000000000000000 662193880 4865532 380575803 320509768 1000000000000000000 815115743 428658884 509146492 596322615 1000000000000000000 534032800 192552779 461756465 97022817 1000000000000000000 559419397 459225259 153769061 352198226 1000000000000000000 420563685 261423589 220037259 273730795 1000000000000000000 835496059 788086058 38922590 5637954 1000000000000000000 875898346 126817970 105031046 484464368 1000000000000000000 342746179 39608853 229005266 269803872 1000000000000000000 268640850 8786321 192400024 145464388 1000000000000000000 606028214 529050364 539284175 268207203 1000000000000000000 276959753 61597981 153683484 18238348 1000000000000000000 586287470 167369951 210777248 40122295 1000000000000000000 618050540 541584881 231938071 285215254 1000000000000000000 392799752 386490600 231437220 68016280 1000000000000000000 784393472 578486699 283393564 335180439 1000000000000000000 320350789 110158895 237898309 108982495 1000000000000000000 494791753 105135114 351388122 96928434 1000000000000000000 835750562 294566766 120128257 332968755 1000000000000000000 178032528 71298081 1638201 616943 1000000000000000000 532597773 6711236 154187526 93762619 1000000000000000000 939258263 442000181 365648118 511329779 1000000000000000000 440330999 404415503 138570890 186592227 1000000000000000000 268584252 63841706 164667681 182023021 1000000000000000000 852476427 630274774 687751620 520921852 1000000000000000000 638281475 453939013 392861792 97908911 1000000000000000000 587941885 276305432 135595309 197474679 1000000000000000000 567975022 271228475 172572883 456342043 1000000000000000000 708311119 333623569 188478674 368390923 1000000000000000000 916722355 448452201 813478942 789255650 1000000000000000000 856951376 267593851 811961930 114455011 1000000000000000000 716940241 82022086 132699476 637478792 1000000000000000000 490812905 401177622 74605750 143381849 1000000000000000000 187034109 24684241 68885822 83957831 1000000000000000000 787749878 417367815 43778741 272345521 1000000000000000000 76416604 16467365 43110423 55708618 1000000000000000000 817610453 768882024 482093565 418359427 1000000000000000000 583819455 552252310 378932023 103016914 1000000000000000000 133144983 81948457 62335008 121996864 1000000000000000000 592848364 369609240 210653304 552597536 1000000000000000000 245491576 9426324 233908887 175431186 1000000000000000000 74617420 44108884 1732028 56753635 1000000000000000000 731820326 717681745 617240639 715251973 1000000000000000000 486248965 121868543 172832763 161361599 1000000000000000000 832441014 192148030 147285935 709599093 1000000000000000000 607883746 263156267 599878313 417239262 1000000000000000000 607415395 53972229 278974136 279376649 1000000000000000000 147405566 101673677 33491299 47286274 1000000000000000000 566583628 376258024 103439284 139865928 1000000000000000000 96939229 24059675 44580195 71522055 1000000000000000000 104982015 40128189 42983343 37894435 1000000000000000000 968689666 236930609 114649247 880340376 1000000000000000000 578674737 275571659 116941783 246048736 1000000000000000000 680437248 383308754 620861582 166081279 1000000000000000000 369861901 304315638 22391940 147506304 1000000000000000000 264030504 208207132 252785324 149285143 1000000000000000000 333189930 118044939 108757790 262141901 1000000000000000000 303832470 41730175 272096876 121176420 1000000000000000000 968207597 901263076 633410683 158087769 1000000000000000000 12278473 10930884 9515731 5615995 1000000000000000000 387844604 319751250 28128577 319934041 1000000000000000000 897387541 643211595 562197692 166819435 1000000000000000000 427116973 6077825 154210985 41348151 1000000000000000000 472911874 100388977 242858953 294949066 1000000000000000000 971169897 548072205 744292881 718402971 1000000000000000000 832505340 343329297 252628280 522370384 1000000000000000000 256823386 117048875 13693170 66417639 1000000000000000000 43693809 23939514 25876625 9662441 1000000000000000000 256358537 171384744 119982247 111483786 1000000000000000000 40848328 26443385 15720382 5987420 1000000000000000000 911825539 244499353 861416848 666654667 1000000000000000000 927603319 21047321 292280964 733905476 1000000000000000000 444672355 34153376 103393105 135418087 1000000000000000000 546207673 284808777 193393567 476611885 1000000000000000000 527338283 262600559 513019187 228087815 1000000000000000000 866094829 703004398 603855098 230649743 1000000000000000000 369497890 122479406 127858755 304684497 1000000000000000000 458486155 153803272 281585645 181408050 1000000000000000000 199696477 31992189 105177069 68653717 1000000000000000000 601781971 101375643 364754876 427498253 1000000000000000000 933537137 58787826 650039145 58389825 1000000000000000000 759271365 375485569 391549764 511772456 1000000000000000000 28703050 17584204 25807653 25145046 1000000000000000000 276429509 105817150 19009819 252139467 1000000000000000000 669957745 361792856 84203874 30343797 1000000000000000000 906715721 213802081 707622679 40558103 1000000000000000000 715604857 65298888 671126358 332419105 1000000000000000000 589370511 125312831 338987630 584990413 1000000000000000000 292974069 5382072 35014064 269238391 1000000000000000000 743793537 548246080 495456789 600488505 1000000000000000000 303779277 60497140 116287541 241149890 1000000000000000000 208070411 13595179 147010273 67683244 1000000000000000000 558206243 245374097 90399578 495297802 1000000000000000000 556080436 470384867 497998767 222206350 1000000000000000000 569118563 172325916 461706239 354858469 1000000000000000000 313933468 162944458 247352383 47105372 1000000000000000000 516586138 202598857 270212791 238209797 1000000000000000000 217792385 172158064 180181670 208259410 1000000000000000000 273236402 232440459 107064945 154479691 1000000000000000000 142239075 2360983 92824546 5987265 1000000000000000000 694729439 485532400 6373727 457270325 1000000000000000000 882333710 57502509 795152487 34884237 1000000000000000000 293388418 154468716 217769815 36101602 1000000000000000000 306076790 258606149 254359303 219713791 1000000000000000000 990164767 920773743 238359059 444550119 1000000000000000000 444265947 97285455 398813423 98314005 1000000000000000000 78152618 46612579 27164099 58410311 1000000000000000000 409378505 131731576 124323770 237394733 1000000000000000000 236489871 26945414 145198032 2920644 1000000000000000000 918900832 574534463 331868616 54597935 1000000000000000000 432788817 168898244 79500187 420111920 1000000000000000000 482601609 261336453 216032163 338372781 1000000000000000000 327089143 141717886 260812945 294529981 1000000000000000000 947103152 474184742 168985755 733699431 1000000000000000000 764782231 442817332 184887942 103292621 1000000000000000000 682233773 258241269 370019837 450834349 1000000000000000000 55925195 28958295 11126726 52600464 1000000000000000000 39550543 17866500 15188186 7671838 1000000000000000000 312069731 46102686 53572617 263960656 1000000000000000000 250834995 249218865 28216597 38528503 1000000000000000000 208547719 191004953 203624021 161091371 1000000000000000000 9272240 5478328 1319427 5002388 1000000000000000000 959925124 242132280 744217511 843621811 1000000000000000000 314913754 187799261 20306640 245910264 1000000000000000000 17865362 7065781 13339206 10054959 1000000000000000000 494888456 85841075 372095945 323405033 1000000000000000000 702884186 183172179 190008595 372961999 1000000000000000000 968391920 854948773 402639714 469526819 1000000000000000000 175298930 150558134 69610541 106072216 1000000000000000000 247619201 40609935 175758585 27896532 1000000000000000000 189267336 181862167 81552831 128641443 1000000000000000000 475494327 25553737 254036475 333614938 1000000000000000000 158072638 151606479 71276018 93113340 1000000000000000000 260538747 140516100 103289156 165844087 1000000000000000000 164511752 50042502 75937033 46625266 1000000000000000000 77767885 76696267 59724708 6705390 1000000000000000000 775497748 42850247 655809112 759820703 1000000000000000000 642908080 506025742 433779649 42583316 1000000000000000000 351114176 221833966 188450876 317532822 1000000000000000000 187671800 83723915 77671244 136818350 1000000000000000000 248437715 14377637 47929422 136180637 1000000000000000000 295555389 191399307 189013738 239410446 1000000000000000000 324633119 298779666 18915376 186623610 1000000000000000000 366166545 118048978 248895820 130239464 1000000000000000000 730310542 560851046 459096896 134896599 1000000000000000000 892813606 524785380 478905389 744636535 1000000000000000000 849875248 480157024 661333858 696148040 1000000000000000000 741448290 258630656 338094369 443065614 1000000000000000000 246174533 177148520 171151679 165644542 1000000000000000000 301520239 87795410 44513783 195863791 1000000000000000000 593907734 493784778 498116643 347909683 1000000000000000000 300026676 267220926 69909175 145798348 1000000000000000000 803659461 92357987 747036737 767899275 1000000000000000000 884834107 220806690 286314503 628023701 1000000000000000000 762192508 699758877 55407181 185380053 1000000000000000000 530603458 156935862 162376105 476943992 1000000000000000000 486640233 172530487 48303459 409932581 1000000000000000000 981693283 421707168 789455596 310336755 1000000000000000000 604007105 16513379 302368069 132300679 1000000000000000000 393259518 157474296 28783375 391895646 1000000000000000000 366966947 256431549 333586093 139426689 1000000000000000000 448413805 229774488 76355475 139538245 1000000000000000000 645196115 35163492 552915765 607246543 1000000000000000000 999479128 513711611 349736678 112302680 1000000000000000000 969545903 939540667 378818165 371245417 1000000000000000000 803619084 47946879 710469287 7978134 1000000000000000000 770883089 617363334 356921957 195248573 1000000000000000000 691383074 103577347 459798295 40867299 1000000000000000000 791622603 61041746 547972667 681054244 1000000000000000000 172411030 77840702 89551366 87679289 1000000000000000000 522024295 125089978 150888776 208845958 1000000000000000000 26747001 6683630 2715738 1029275 1000000000000000000 840055449 573314978 565611174 706095223 1000000000000000000 983374850 871932291 622467398 961984784 1000000000000000000 231950192 117178040 222878841 29386848 1000000000000000000 460741263 324975914 219398472 309163298 1000000000000000000 725448789 638587169 315167033 486980564 1000000000000000000 47108778 16602343 36460314 6999945 1000000000000000000 50556589 35009335 18100461 12633890 1000000000000000000 718338573 129518612 655750805 458441808 1000000000000000000 837980425 226523365 702721290 95119856 1000000000000000000 241488510 133528015 179169308 53704920 1000000000000000000 736285034 505377534 379260825 274899597 1000000000000000000 507952110 123303655 76614829 128992202 1000000000000000000 7889973 1581334 1680118 4226849 1000000000000000000 413666138 64189969 361720975 364940276 1000000000000000000 576145830 287406124 105688329 447853580 1000000000000000000 433280805 359681617 364550340 26809849 1000000000000000000 256156422 19263819 106283995 121279979 1000000000000000000 251087546 222508451 194648157 9054839 1000000000000000000 80957648 65875276 11593810 43419677 1000000000000000000 780043319 326321541 723704065 689568008 1000000000000000000 33016563 22852106 26171503 12201517 1000000000000000000 553995507 210819178 219635479 352150291 1000000000000000000 740678666 409899499 644164567 617230980 1000000000000000000 680788401 275520484 388617831 526312558 1000000000000000000 756064673 192362893 191671540 213395046 1000000000000000000 164359863 50228892 135004267 131400282 1000000000000000000 140641539 7757495 21207426 139899719 1000000000000000000 870458035 465976986 322963673 738394535 1000000000000000000 910093569 85578234 287352100 50281270 1000000000000000000 549428407 351333945 472643518 547476056 1000000000000000000 684914864 325498088 397908176 605989827 1000000000000000000 393180787 354489530 130391873 234361673 1000000000000000000 204421967 119520053 15375293 142976224 1000000000000000000 819570691 195158832 233830823 450400212 1000000000000000000 344403581 342514898 178651986 36640567 1000000000000000000 883895843 31311674 850739025 434610449 1000000000000000000 13142016 1942972 5708336 2522164 1000000000000000000 61397634 60525595 17741684 27194853 1000000000000000000 590335718 175045422 236660028 362256185 1000000000000000000 814584003 142672938 4772150 20271062 1000000000000000000 292047938 145019834 249086887 2790605 1000000000000000000 836325571 750268742 60514227 368929348 1000000000000000000 477558903 71627236 460550844 427702576 1000000000000000000 341448198 73777401 178158417 271969670 1000000000000000000 523013136 494088580 419963659 234752118 1000000000000000000 866575930 839024790 328148632 706327363 1000000000000000000 944448104 96446739 536582826 129689011 1000000000000000000 680516724 454071713 379655465 530060583 1000000000000000000 912503592 587959044 868259627 48721863 1000000000000000000 728621632 392352863 702715260 680885976 1000000000000000000 81051922 47687516 33608773 28498026 1000000000000000000 60622519 41083436 55530109 21746208 1000000000000000000 775313446 501022746 632754517 626346295 1000000000000000000 546772523 105991266 350197628 373263698 1000000000000000000 568405132 68232729 502057596 111130158 1000000000000000000 297397096 15936970 131661286 240057518 1000000000000000000 110435130 96343249 57141108 96084881 1000000000000000000 531962462 280649033 524802971 143424359 1000000000000000000 528213405 257482286 389464429 376516517 1000000000000000000 303311578 24570253 234749376 97589277 1000000000000000000 924265419 247125447 502409527 857297782 1000000000000000000 681218507 436941381 307133338 195398708 1000000000000000000 557081031 485945727 134657325 511410887 1000000000000000000 6160312 3803379 1587201 2864533 1000000000000000000 425703242 242667325 42907636 257750565 1000000000000000000 923097757 288183358 461973602 14357642 1000000000000000000 979566871 425287618 447379379 371758855 1000000000000000000 445686524 69280244 263240445 84664169 1000000000000000000 160351353 140075262 43374827 76816934 1000000000000000000 252431824 226685599 110124653 76960703 1000000000000000000 844493047 731528014 470734710 594121173 1000000000000000000 682766589 198166362 610453910 293276933 1000000000000000000 65234754 43005311 11136537 36213796 1000000000000000000 569056007 479133658 324147446 509955111 1000000000000000000 761241327 460438288 648985888 17644228 1000000000000000000 594314387 238124166 434992063 5893574 1000000000000000000 514651987 274608722 85660599 367500360 1000000000000000000 380551265 229630517 224487816 18125577 1000000000000000000 196009688 17983384 122679060 20068986 1000000000000000000 581622278 22503192 363594495 258170957 1000000000000000000 437956860 67289212 63120430 170852653 1000000000000000000 861131240 128425411 62566706 106311952 1000000000000000000 234941437 67376576 197804514 191433190 1000000000000000000 594657036 340135530 292054187 141378835 1000000000000000000 879736053 475347742 12304267 798622421 1000000000000000000 145955223 30002632 30285031 122265252 1000000000000000000 444296079 302695091 118800417 238416556 1000000000000000000 360512338 84490608 212608510 337488012 1000000000000000000 651877942 129545532 399869112 593302302 1000000000000000000 981586160 922816274 267962324 875688612 1000000000000000000 302394102 206570234 214536040 110325667 1000000000000000000 814420125 515699557 109183854 732255980 1000000000000000000 978684991 941740147 745775821 892459724 1000000000000000000 21940016 16191076 3413087 5980072 1000000000000000000 871522477 370274916 147512157 365093691 1000000000000000000 653366635 264429616 260611559 330144138 1000000000000000000 51462812 40376284 36228179 32815455 1000000000000000000 583803529 287290683 355092507 277000532 1000000000000000000 498826452 153612112 289329533 106843990 1000000000000000000 21770847 15187561 18469355 11045229 1000000000000000000 290314868 260010298 220005340 22514901 1000000000000000000 100715668 95941848 53937412 59056915 1000000000000000000 235178570 73676880 100275553 86866335 1000000000000000000 424668954 316521558 219546184 361539094 1000000000000000000 159288160 31378452 47969072 80219203 1000000000000000000 73367736 28861450 66402893 69203282 1000000000000000000 371378583 94338514 217833060 307717159 1000000000000000000 148621755 125475789 85022927 31523642 1000000000000000000 818901418 81575328 697917851 680468975 1000000000000000000 808413775 514048824 569977678 653718190 1000000000000000000 674644 158445 265350 190380 1000000000000000000 392615962 96692432 372726838 320111864 1000000000000000000 874811883 830938338 636899715 281943832 1000000000000000000 978065780 513682623 612259992 364751547 1000000000000000000 95304035 17203150 72139107 55684131 1000000000000000000 620850520 44394941 3282283 340420993 1000000000000000000 661469923 15680479 148030893 649448607 1000000000000000000 868079871 198212294 408566938 827968631 1000000000000000000 581534320 310820125 41369079 294096321 1000000000000000000 331392874 92135970 314449952 200079763 1000000000000000000 320995562 90548873 151450309 175760903 1000000000000000000 179380840 113147343 4452707 134474972 1000000000000000000 485955754 337024313 260326724 404686977 1000000000000000000 954352309 901790554 338400997 587919758 1000000000000000000 397716716 314016478 243372591 121002446 1000000000000000000 904569557 432131586 881944292 202343024 1000000000000000000 767682696 349821389 293971893 541782133 1000000000000000000 550713129 116783457 279191250 7471222 1000000000000000000 506974540 22973866 161508393 13111847 1000000000000000000 58985433 14855887 48542595 12378026 1000000000000000000 801544148 268550398 554074264 325025321 1000000000000000000 102144657 6146421 78534039 72386481 1000000000000000000 19478471 12887770 12329144 1610371 1000000000000000000 908391872 839641836 715624550 443605267 1000000000000000000 41345917 26294809 1206363 29900217 1000000000000000000 200535065 160836264 146271681 56817198 1000000000000000000 890648851 228408272 69727529 170028751 1000000000000000000 291609728 112921177 264022503 53435748 1000000000000000000 687910931 158194279 429763940 326001113 1000000000000000000 562945586 423901455 35277642 243317236 1000000000000000000 30672776 24338990 9079698 18982568 1000000000000000000 990212755 957985602 660865576 926450459 1000000000000000000 994403572 208224458 751530700 313927907 1000000000000000000 841387202 235719051 486987539 628482562 1000000000000000000 403532714 309327886 214201363 74158944 1000000000000000000 762077510 315130205 386186986 615848129 1000000000000000000 579612168 93624490 150474477 217691074 1000000000000000000 335098204 137476368 106762750 137725128 1000000000000000000 570976390 34588144 423091571 11421042 1000000000000000000 339600046 122235004 106444675 327823755 1000000000000000000 453483336 167491239 389463534 193360437 1000000000000000000 584398826 446911045 342832302 257345016 1000000000000000000 633541915 432817530 410832564 9035490 1000000000000000000 544732067 345429333 325078401 506173217 1000000000000000000 649678487 234465817 67475370 201686248 1000000000000000000 787196890 726847790 444985255 89846674 1000000000000000000 598900034 152370858 24719654 179531432 1000000000000000000 642623039 627420010 581925921 537490706 1000000000000000000 520055182 57147840 433869297 92271186 1000000000000000000 494393819 155930584 329404380 326227479 1000000000000000000 362369066 238540790 229447218 78801067 1000000000000000000 538142605 359675122 369404462 197158101 1000000000000000000 444402686 359002547 442408489 170795682 1000000000000000000 435651057 177828770 140028778 311517643 1000000000000000000 750761206 20614599 443160150 359075144 1000000000000000000 768240664 699737640 334296305 455301812 1000000000000000000 155179414 80379012 93542267 141731390 1000000000000000000 560987778 30397246 253044430 58802856 1000000000000000000 392040941 344808933 65180369 67310109 1000000000000000000 611761588 239711616 353006348 463979903 1000000000000000000 52360398 16672087 47778878 19220804 1000000000000000000 627051752 595460387 571728989 88497531 1000000000000000000 282627048 36533155 96114767 269452452 1000000000000000000 360783875 345384742 353481875 122906102 1000000000000000000 425484594 369895597 38715263 168074722 1000000000000000000 915124275 890140540 535821659 813124104 1000000000000000000 600768853 231058434 316024565 20309988 1000000000000000000 266645657 56674363 249001437 221970953 1000000000000000000 845905414 398809904 668505514 114635869 1000000000000000000 771141445 255836680 749434673 271551130 1000000000000000000 92271238 77231601 67496091 25064275 1000000000000000000 827999508 785758522 145683398 324643435 1000000000000000000 194623283 73125438 131522100 92480548 1000000000000000000 264072738 109855427 203761209 207036536 1000000000000000000 287981124 157396850 251381254 43711627 1000000000000000000 88016008 53694661 79789782 69590818 1000000000000000000 746925331 662708760 553534476 54806131 1000000000000000000 946839133 214256015 672422575 163248506 1000000000000000000 884624676 385401178 203540737 500670149 1000000000000000000 151091121 22744896 114408463 137775163 1000000000000000000 768379625 269983098 229032696 440966812 1000000000000000000 648311303 189858890 389965604 519644002 1000000000000000000 241109190 236328748 21889656 115372523 1000000000000000000 104323634 89756002 9885403 96581318 1000000000000000000 559010472 421054973 176427670 530603159 1000000000000000000 758586608 118766552 480470443 145509512 1000000000000000000 191291376 147110908 161725771 34751049 1000000000000000000 872023839 59670285 820605004 37560231 1000000000000000000 271092663 25700016 264938026 76078516 1000000000000000000 722670011 495529213 401358381 538554996 1000000000000000000 931012744 668632986 844601711 25371330 1000000000000000000 771661580 613386447 53686141 621232141 1000000000000000000 419767112 105729092 606543 106242956 1000000000000000000 978584805 325164791 809195713 906085285 1000000000000000000 520816035 100884573 492876333 234838586 1000000000000000000 70796659 207838 25463867 249029 1000000000000000000 941961255 384485551 539447126 334313501 1000000000000000000 506525281 151764997 197126536 452079544 1000000000000000000 964518754 309715399 828541292 421579332 1000000000000000000 295140945 14406968 7871149 154919819 1000000000000000000 6952563 2754184 3063390 6371555 1000000000000000000 99782385 23963295 44378480 59625341 1000000000000000000 250464077 120394466 167440914 186508970 1000000000000000000 493859889 475567106 446011146 473634092 1000000000000000000 320662454 125370001 11983083 95564900 1000000000000000000 506206379 181209416 156837070 415336424 1000000000000000000 677274245 499570920 381865322 424224293 1000000000000000000 945959669 55700184 288124688 464284074 1000000000000000000 296691433 39550380 164407374 181662530 1000000000000000000 478963082 381631494 375331182 178838114 1000000000000000000 142916004 5431862 91646588 9731747 1000000000000000000 169208038 54260503 130368804 54866503 1000000000000000000 347969460 261554474 283928753 289047455 1000000000000000000 51616135 47552086 41983759 50332165 1000000000000000000 620794547 257514130 535978080 340425050 1000000000000000000 495435635 25902984 100911427 389875010 1000000000000000000 90592522 20652775 53181986 46505786 1000000000000000000 855225059 765974785 142280926 697751885 1000000000000000000 457307894 282567483 208346775 168035485 1000000000000000000 786125939 209932894 29627390 622997103 1000000000000000000 889975913 221129411 62380742 116012495 1000000000000000000 370751425 258925211 250393724 256274235 1000000000000000000 716690833 353837985 672814437 165494798 1000000000000000000 798482895 73969806 589732595 483956243 1000000000000000000 194966220 189913062 159002171 179260792 1000000000000000000 467053755 161850460 318016347 132270849 1000000000000000000 90369591 70351233 63800630 79583029 1000000000000000000 902657250 572227165 379454156 606993696 1000000000000000000 665533030 564267921 390631193 49303895 1000000000000000000 906258760 142376237 200713518 29141093 1000000000000000000 269620856 76920641 192995780 67861734 1000000000000000000 546924561 142506025 128160706 22606935 1000000000000000000 97548733 72847841 2527853 51587414 1000000000000000000 407817142 103331709 398039782 93603823 1000000000000000000 910973016 300220396 755963055 678507774 1000000000000000000 668203864 563489575 325100567 96641707 1000000000000000000 164721531 118826089 6497549 110532632 1000000000000000000 433593389 372693908 272945478 432679208 1000000000000000000 806484057 605246437 511459157 374010406 1000000000000000000 256346061 206475012 9128204 228543436 1000000000000000000 274455333 251932343 190866394 212736886 1000000000000000000 77197140 26738750 62136356 42085578 1000000000000000000 359221750 42402835 323931027 118304440 1000000000000000000 356223571 14083573 135988883 53462978 1000000000000000000 283762478 255285885 69875942 207594306 1000000000000000000 991821975 707928441 437192512 729873866 1000000000000000000 207978779 4402429 90147518 40329816 1000000000000000000 205965599 120173452 30763061 183595625 1000000000000000000 969364930 54961714 726409801 500936196 1000000000000000000 298098287 165253319 52392111 240170583 1000000000000000000 281850350 154783581 250613585 235008087 1000000000000000000 826371412 498486362 595969173 500493520 1000000000000000000 19981391 11975820 16406618 14020820 1000000000000000000 621978178 328787061 229879640 448612868 1000000000000000000 225748200 26422157 148468440 150163832 1000000000000000000 340651194 227554242 213370247 171394388 1000000000000000000 300538999 216354893 159617304 202608913 1000000000000000000 227732549 212023144 10243296 153642103 1000000000000000000 800266719 785830411 252159367 649793668 1000000000000000000 432753502 314986188 37910414 209961013 1000000000000000000 883211261 735054415 688799104 612082769 1000000000000000000 171831487 26386781 54116364 153856274 1000000000000000000 626575307 322729615 41822775 588619024 1000000000000000000 332577601 88240911 236488323 285311046 1000000000000000000 462709295 220628418 413022288 275831174 1000000000000000000 366118264 302823008 287206808 327198740 1000000000000000000 894622758 220814133 170796257 591954788 1000000000000000000 594478105 410334737 92598009 462365975 1000000000000000000 712543138 215352515 270298769 16380190 1000000000000000000 377096082 260246862 338047631 118318024 1000000000000000000 711335189 132055855 165263914 44049502 1000000000000000000 554702834 161587749 257034749 115124899 1000000000000000000 618016336 486465839 40900918 541634284 1000000000000000000 358755234 42404034 151393139 121696441 1000000000000000000 501313924 249379305 108584090 361819601 1000000000000000000 660270840 110113828 50719741 94784983 1000000000000000000 145811876 125430040 38629402 120707421 1000000000000000000 557789953 509968033 468841053 489481118 1000000000000000000 424680765 365493316 139918795 378420988 1000000000000000000 582752359 551654365 406333127 543353007 1000000000000000000 824062303 769110939 185645571 200532849 1000000000000000000 527846155 261637381 297754038 125948654 1000000000000000000 88659492 16380626 52287139 43422372 1000000000000000000 720157695 341403078 245997535 240069670 1000000000000000000 438787721 131952238 275256145 385944868 1000000000000000000 512886182 67768216 118587661 293467956 1000000000000000000 462123330 313539540 198084861 13585381 1000000000000000000 335927058 129269917 171854918 74268947 1000000000000000000 11387763 9572491 6521273 4971947 1000000000000000000 501790876 64884848 93679778 260548519 1000000000000000000 641745030 249825030 500699069 393063502 1000000000000000000 459144487 234653912 8518693 217848362 1000000000000000000 885074074 373529609 515701840 39689770 1000000000000000000 656999327 219700256 51818249 36106010 1000000000000000000 344574395 282709662 50192436 194661466 1000000000000000000 767147017 617862933 220268120 315050500 1000000000000000000 74508651 36798206 37357679 18871543 1000000000000000000 741421478 447592892 704930861 540016190 1000000000000000000 268364535 144721312 101917251 35302709 1000000000000000000 432800641 105850720 73873882 315217148 1000000000000000000 122773328 47391173 54965902 58776003 1000000000000000000 299087600 186287600 207564525 154617985 1000000000000000000 900982395 18382429 212700217 144135272 1000000000000000000 539858730 496491458 349141184 439167598 1000000000000000000 467887451 335441471 435073346 438811391 1000000000000000000 768664854 713987383 435540463 625762085 1000000000000000000 200748017 84090923 33617114 124586728 1000000000000000000 166317955 59489501 86689841 19007883 1000000000000000000 519875384 165133307 178801402 402394493 1000000000000000000 533759948 511599324 334865879 305370551 1000000000000000000 488234496 132168451 72780034 26977255 1000000000000000000 590543029 155274700 435256472 523976009 1000000000000000000 485229772 472326327 74957321 356994360 1000000000000000000 13759592 2502581 12054160 5129931 1000000000000000000 107275333 52850111 74635437 58855955 1000000000000000000 846848151 729578145 820098280 839284783 1000000000000000000 136368211 107314846 41682903 79116740 1000000000000000000 392242383 148647818 326392327 57734457 1000000000000000000 803269840 774856031 705431497 119074326 1000000000000000000 776962434 138625592 59492885 283875248 1000000000000000000 42013102 20956074 15182306 38286529 1000000000000000000 171654410 103251330 125462633 112187051 1000000000000000000 479956685 318353147 266827284 306718120 1000000000000000000 573870985 150772612 142516391 424903852 1000000000000000000 458429014 373028470 343202630 254192605 1000000000000000000 800897174 529412833 18424984 796017020 1000000000000000000 322241806 142700978 250126434 94970102 1000000000000000000 397030469 189395217 157103403 339609837 1000000000000000000 274063176 1976059 85650781 65599197 1000000000000000000 745867347 677154505 230433217 466070460 1000000000000000000 197475128 165143381 62078309 54309999 1000000000000000000 923795948 484077282 653180089 205092749 1000000000000000000 284827948 216149235 120999741 102139811 1000000000000000000 135566199 43853388 95285479 88539433 1000000000000000000 205962215 127559876 13734912 12886755 1000000000000000000 542830698 80135893 483630467 236927016 1000000000000000000 258819995 197159641 185163857 62826370 1000000000000000000 942685457 612591308 45857171 612318655 1000000000000000000 637764902 546484299 488703368 600725530 1000000000000000000 838150961 550247557 631375811 247255116 1000000000000000000 771269699 739920722 311063110 81466296 1000000000000000000 956582314 669057433 860669990 208191236 1000000000000000000 120569139 41525582 95165762 61661396 1000000000000000000 143910552 103338691 98539513 132196396 1000000000000000000 7094476 5229829 3021503 791503 1000000000000000000 581450771 317126408 367330727 544013717 1000000000000000000 926021502 638886746 451840093 140571829 1000000000000000000 528492006 393067329 456151761 366739198 1000000000000000000 794074707 443780306 214400405 155049860 1000000000000000000 647948942 147051942 291907337 494845122 1000000000000000000 421053281 417592704 413154183 309198198 1000000000000000000 945744194 344320327 563123778 488022244 1000000000000000000 62547995 55675990 30672212 27811385 1000000000000000000 718105177 574862906 450896631 557109162 1000000000000000000 759001094 7270960 740220141 628387265 1000000000000000000 627595246 451482672 511052512 26678998 1000000000000000000 827289298 743593665 191149710 311012564 1000000000000000000 338909015 330513983 172282971 87078735 1000000000000000000 891336923 188116628 146840614 770834969 1000000000000000000 844485277 265343074 383067260 406292726 1000000000000000000 699332745 96124686 650062422 174521019 1000000000000000000 453016052 101430894 277985946 251957472 1000000000000000000 364751658 48664310 259598257 111034250 1000000000000000000 623038518 288783567 408712957 454175984 1000000000000000000 339174127 184879120 147047773 275842480 1000000000000000000 633910163 20102277 425466767 284659113 1000000000000000000 289979720 39347082 237604673 163004121 1000000000000000000 799919718 770154472 95728028 400923497 1000000000000000000 665229233 408326239 309558973 192227591 1000000000000000000 897374417 756394758 450769286 545833504 1000000000000000000 896781872 300592744 146332263 363573354 1000000000000000000 325127891 35148551 319815606 142083162 1000000000000000000 654131210 207625781 319756015 504379553 1000000000000000000 70272907 26139527 46106338 10237283 1000000000000000000 446487683 239691468 330647697 338036992 1000000000000000000 328320507 214892495 77705105 255211387 1000000000000000000 276826290 47967344 172285816 202042144 1000000000000000000 868363481 207453745 157278436 175122975 1000000000000000000 492005248 72855756 67964503 327043003 1000000000000000000 539909084 530315667 336868595 92808476 1000000000000000000 149258034 131761254 118008164 33268068 1000000000000000000 841467464 464010551 485492135 618085136 1000000000000000000 294493231 133048941 39320006 199398012 1000000000000000000 335446277 254472417 105710174 232716519 1000000000000000000 911329890 133417877 507014576 275721721 1000000000000000000 46361745 3643439 41238346 4585256 1000000000000000000 695170876 100143448 517611918 247784832 1000000000000000000 679273987 367897777 217396586 83056019 1000000000000000000 947341127 448186706 467936315 362457625 1000000000000000000 363191668 230793072 22338510 195055475 1000000000000000000 111722126 45235851 104543565 69564484 1000000000000000000 518610510 296029060 166591031 425905232 1000000000000000000 195074124 20481178 156660243 66822948 1000000000000000000 128062918 111442535 91316257 49173341 1000000000000000000 21905931 19212250 820961 20835096 1000000000000000000 648985170 8185545 227375024 104133796 1000000000000000000 157048795 28778998 75347383 98312472 1000000000000000000 762943206 454607317 621779764 438992365 1000000000000000000 114548272 85411271 99833513 34799044 1000000000000000000 359484179 307413964 169770843 57905093 1000000000000000000 245703341 69172626 65197910 181478603 1000000000000000000 646775123 561522825 47121312 242250359 1000000000000000000 214212958 118471074 183052072 28151851 1000000000000000000 94900972 50899230 89709983 40830495 1000000000000000000 545859557 71996746 425107117 501107963 1000000000000000000 35293144 8192988 8474712 5016754 1000000000000000000 759223384 186131046 571869190 99325667 1000000000000000000 77342952 57197795 59959741 19509219 1000000000000000000 912816480 304422568 159432793 568212790 1000000000000000000 380049505 15125962 365494192 321003033 1000000000000000000 46346332 21606217 7612011 10291362 1000000000000000000 700326417 113368175 306154344 495230168 1000000000000000000 648271669 91598193 353027674 484747552 1000000000000000000 104507645 1652008 50186056 40333920 1000000000000000000 140744826 62875765 124023487 114429975 1000000000000000000 921823500 663509007 579858637 652658055 1000000000000000000 640345681 102241599 535976221 24417085 1000000000000000000 245686269 214632891 119121716 223912601 1000000000000000000 650067007 99743702 492981297 318314822 1000000000000000000 770844222 108972561 470542464 153880420 1000000000000000000 621041774 201475841 362611327 141125361 1000000000000000000 400822640 36118941 382939823 351215411 1000000000000000000 476395489 197016975 224384477 227040156 1000000000000000000 535497110 90888670 21179207 9436459 1000000000000000000 570970029 380061358 185220935 441522644 1000000000000000000 385836138 46264054 103283382 102712384 1000000000000000000 274335001 167499965 88835540 46785676 1000000000000000000 169486299 91841310 111008975 92748265 1000000000000000000 36361992 22056678 20376267 27687730 1000000000000000000 55048756 24876442 10520512 12731606 1000000000000000000 294480561 84453052 122365194 76682681 1000000000000000000 880199200 742962924 809285551 739723310 1000000000000000000 995987760 414719462 865392507 144056187 1000000000000000000 538581891 528984045 190767136 176749102 1000000000000000000 652500754 172190104 495020793 65631555 1000000000000000000 595661719 270753711 498295647 402688736 1000000000000000000 700887330 250901305 119657561 501049922 1000000000000000000 338615405 32004318 2126544 251413237 1000000000000000000 49850624 38403269 23516560 19850879 1000000000000000000 905505982 869190049 406042047 235189372 1000000000000000000 858859666 48726047 536932472 721609251 1000000000000000000 512040091 163791338 152614904 330384545 1000000000000000000 958751935 887020965 261153742 109022126 1000000000000000000 535511326 192599282 36939994 122813050 1000000000000000000 715320213 633462287 631211954 392812309 1000000000000000000 976782183 816489446 505506337 965998925 1000000000000000000 655491700 534702440 117952239 102919714 1000000000000000000 759095538 494221922 573699708 741014806 1000000000000000000 368065382 228301028 255510165 119964488 1000000000000000000 46596892 24395503 19547778 1296604 1000000000000000000 136548200 67177083 117489376 119246015 1000000000000000000 386980998 153145346 268044997 130673871 1000000000000000000 364897376 312749636 6843351 145528170 1000000000000000000 3734722 3070278 3266386 2365709 1000000000000000000 362753791 93624411 312707425 255504931 1000000000000000000 106421813 73070001 71714581 70972003 1000000000000000000 83893008 33188353 50651592 17792618 1000000000000000000 52125186 50726577 36103838 25963297 1000000000000000000 104694663 56277116 35675920 83421325 1000000000000000000 210241931 152902642 56377692 59875092 1000000000000000000 203286881 181718988 73736228 202608024 1000000000000000000 162334320 101904996 148418142 160122180 1000000000000000000 650872966 515565565 303678322 367859794 1000000000000000000 947895413 847165759 132954733 455355208 1000000000000000000 971622679 264594478 846630885 282432343 1000000000000000000 886974190 408092501 423263525 758325184 1000000000000000000 274036249 141736336 123030035 202288008 1000000000000000000 744354183 741800236 82932416 542008262 1000000000000000000 291877671 185042929 51442558 275507879 1000000000000000000 227361929 103140124 141576292 71169023 1000000000000000000 224104358 4619425 135391605 76564633 1000000000000000000 572130823 70735435 545235729 311897483 1000000000000000000 495004559 436162687 100835283 403812419 1000000000000000000 311155038 99524648 145791333 83030055 1000000000000000000 556776845 389760198 207539075 113867762 1000000000000000000 670212702 142712360 3276907 531853308 1000000000000000000 622282518 516739476 74501038 207493685 1000000000000000000 212760834 60246284 50995727 104887780 1000000000000000000 198652562 93731408 180437722 56857393 1000000000000000000 872276195 306134989 316633805 171413402 1000000000000000000 53493297 36654443 34577338 35715151 1000000000000000000 957837310 745264137 76375450 142806828 1000000000000000000 535438341 400797453 385035472 130944701 1000000000000000000 409652419 291376038 277790302 234633177 1000000000000000000 444711164 442017297 132556197 191242109 1000000000000000000 195731638 9527490 128710545 184403780 1000000000000000000 540131895 355107775 60628879 87672730 1000000000000000000 542094515 244591800 144174932 12201902 1000000000000000000 637100768 583750953 181103393 401642867 1000000000000000000 656141423 24167212 142149530 348763120 1000000000000000000 806538342 56632473 213519481 495838641 1000000000000000000 985017257 913428584 572280466 467088725 1000000000000000000 859406726 244810618 433550600 794866048 1000000000000000000 300467122 186102176 36383548 3365135 1000000000000000000 519449601 292345427 463255341 11766323 1000000000000000000 348654776 315641330 289769329 160156467 1000000000000000000 250992788 117570763 57813502 90051812 1000000000000000000 906143521 174245703 751665288 207418191 1000000000000000000 980615747 859950795 741769297 36011509 1000000000000000000 198068760 16216168 81354076 186606765 1000000000000000000 212230962 124701157 83656450 31969932 1000000000000000000 648281070 470806528 243165171 503938643 1000000000000000000 844363058 35033327 757848321 245890838 1000000000000000000 905709984 518393885 358833198 368233920 1000000000000000000 817423157 229867971 279802775 304155197 1000000000000000000 401602194 187337136 360593534 351952784 1000000000000000000 374711122 240100906 340162143 128067133 1000000000000000000 597964809 217194281 277639371 305640948 1000000000000000000 70151559 69186124 65699135 10175110 1000000000000000000 764046285 125365890 182645139 23031810 1000000000000000000 518740013 93096959 99881982 98900163 1000000000000000000 87500945 44456330 69308988 24959179 1000000000000000000 860788444 382937089 550454997 344444602 1000000000000000000 962914758 440393189 383801317 456693042 1000000000000000000 198949855 117817460 7231820 117279423 1000000000000000000 297988854 11068389 255384558 136214334 1000000000000000000 738613881 639736442 291919019 338319784 1000000000000000000 320439700 251508963 283325794 234380696 1000000000000000000 842132573 511207453 251817453 152636620 1000000000000000000 330806128 266677717 93860403 90942766 1000000000000000000 286073546 62917968 27752648 108545714 1000000000000000000 408646631 162194389 62657023 296569582 1000000000000000000 900219868 578361677 524802009 229617490 1000000000000000000 209936068 184402901 24814824 31601634 1000000000000000000 134567916 22069372 96213873 129001509 1000000000000000000 689740367 393093172 42252100 350602874 1000000000000000000 184201209 52365838 146987239 74920000 1000000000000000000 168829913 15782720 103153179 92386217 1000000000000000000 54672741 40495197 46373073 486976 1000000000000000000 6962737 595473 867454 1534931 1000000000000000000 107622841 78238061 68181832 14043516 1000000000000000000 594435128 523982575 436023154 534771680 1000000000000000000 97956300 4808216 43281440 21118730 1000000000000000000 128401839 128041616 86366515 48775810 1000000000000000000 272567671 57027018 31068117 253217304 1000000000000000000 762709661 457718217 452331672 141933671 1000000000000000000 28345353 12255780 1244856 18268831 1000000000000000000 998354218 437481449 712638052 545232835 1000000000000000000 457676788 191166420 319839479 209361304 1000000000000000000 518842201 63092530 84732243 157545479 1000000000000000000 939512111 275748449 30596545 272907241 1000000000000000000 736474539 391951896 360532046 572744131 1000000000000000000 733534426 580650828 628687127 561053053 1000000000000000000 580763924 30378014 318524765 322283998 1000000000000000000 324054996 285000763 75735193 78505358 1000000000000000000 395872510 255659723 214906267 43002139 1000000000000000000 624603520 393099681 562346442 4111773 1000000000000000000 498348328 137477702 255380248 1640489 1000000000000000000 585015445 578117801 361091835 424546135 1000000000000000000 234553760 57559832 10153306 168546300 1000000000000000000 572444535 235276537 187181540 44720962 1000000000000000000 175378817 102491685 133085435 137421126 1000000000000000000 949496182 547631644 512125717 433022626 1000000000000000000 813759079 647299001 487222281 151507325 1000000000000000000 922023398 873271424 906825897 462005620 1000000000000000000 554743750 436079343 230619299 547067142 1000000000000000000 544092336 170469990 288748376 427495281 1000000000000000000 90433483 44091020 87694240 28359688 1000000000000000000 955533019 149236868 201522143 130375522 1000000000000000000 206811526 177565221 98821571 22598228 1000000000000000000 741179794 131292096 653437552 316690036 1000000000000000000 270120521 179872480 82730936 156731973 1000000000000000000 87863490 38994473 74512902 9550801 1000000000000000000 859966303 372300887 5191103 140664096 1000000000000000000 715865421 452293894 301872283 342109551 1000000000000000000 996100708 606719473 482886518 448411846 1000000000000000000 93663769 65420 57264130 74154425 1000000000000000000 51143222 18266381 17778060 41012529 1000000000000000000 258715743 180229440 155489277 185086486 1000000000000000000 110591269 108258074 106735751 65710883 1000000000000000000 992760036 341481633 763575039 808138902 1000000000000000000 575605292 32133450 457587715 201973229 1000000000000000000 835030375 28746646 451227070 411480980 1000000000000000000 174997481 86747412 32803612 118930248 1000000000000000000 685574984 520287873 134093 267736598 1000000000000000000 305607450 178043651 190087718 6693530 1000000000000000000 850634291 609118421 233005112 18406167 1000000000000000000 286584181 73300869 189535061 143223631 1000000000000000000 713245534 579400904 342266529 36245443 1000000000000000000 346842545 138791539 282341665 255821033 1000000000000000000 735457953 498011483 131119512 42509035 1000000000000000000 639754755 437953074 506223578 632536663 1000000000000000000 292270348 229177412 58072486 266973616 1000000000000000000 53689747 28204644 7944250 1751937 1000000000000000000 94964697 53317447 22730870 84433487 1000000000000000000 545360710 400482152 101919135 300234220 1000000000000000000 363639687 244531904 147087189 186731917 1000000000000000000 347839997 249771817 88280866 332470456 1000000000000000000 494614752 357683008 458810927 465649061 1000000000000000000 544795061 136781488 21844562 46954445 1000000000000000000 248412599 112142582 14943520 67867265 1000000000000000000 146948215 13276405 74293506 143796262 1000000000000000000 733073316 585633005 166602308 668271462 1000000000000000000 936036666 485302628 61070750 605574528 1000000000000000000 17927141 16682663 2348831 3765852 1000000000000000000 99207905 7060433 32405207 27450506 1000000000000000000 45967919 3228412 21585342 5460260 1000000000000000000 353280762 149622416 298731969 130416004 1000000000000000000 614011542 132273164 183526141 39935004 1000000000000000000 941441277 700139139 358249725 161898743 1000000000000000000 136256754 22781693 26891399 50319597 1000000000000000000 379455917 222631382 113119375 58189812 1000000000000000000 74567670 28614716 18340573 1973635 1000000000000000000 387358587 274188443 312605495 280457244 1000000000000000000 245997051 155464690 5317881 188535701 1000000000000000000 458669509 419222166 374946973 288084516 1000000000000000000 582421272 112615105 197542520 67366562 1000000000000000000 53645751 51141965 25975621 51050584 1000000000000000000 135417604 117078988 79335636 111471539 1000000000000000000 360753732 44976045 144507066 226702817 1000000000000000000 669028173 146567786 171143021 660959603 1000000000000000000 522301906 38669995 208227993 85774757 1000000000000000000 184943232 147710993 181886798 111620648 1000000000000000000 696217803 388961815 115981414 100095570 1000000000000000000 466537415 222480480 19281613 288724196 1000000000000000000 277492803 174979141 90030211 50666875 1000000000000000000 969182481 599403319 513600605 226256683 1000000000000000000 529492346 320351209 135721527 355798313 1000000000000000000 709116326 3695932 258570199 683844125 1000000000000000000 793098249 414823010 397617992 490492679 1000000000000000000 700097578 326288190 215218843 239809634 1000000000000000000 86322926 72632288 36913765 35752244 1000000000000000000 799189296 215233796 573577012 684111416 1000000000000000000 342727037 280774540 278675083 28324019 1000000000000000000 885822575 246685961 489631038 298611097 1000000000000000000 242616980 189926400 122381649 40119464 1000000000000000000 566662114 383646901 493045542 214827753 1000000000000000000 803062867 350899807 704893286 594758005 1000000000000000000 23454181 14163044 14916156 11415749 1000000000000000000 476307700 349053663 73366104 7470303 1000000000000000000 796614699 71569022 50004364 531284612 1000000000000000000 733729466 162739757 391276498 86941904 1000000000000000000 24159565 13097145 16509327 17906576 1000000000000000000 609166030 534420966 401858368 456508376 1000000000000000000 722851215 628020666 681179720 360288758 1000000000000000000 709138406 255822372 13590142 617352007 1000000000000000000 132014569 100409310 98474377 73402170 1000000000000000000 278776059 65136952 162426515 93485774 1000000000000000000 458113030 101816816 63719762 442703265 1000000000000000000 573910437 514575482 525154241 554014660 1000000000000000000 787730987 761731842 607310392 450292507 1000000000000000000 592899817 189097780 185914329 266352489 1000000000000000000 154003489 105271912 47272985 26387049 1000000000000000000 196621842 39777009 104487177 61834460 1000000000000000000 835767917 554127568 337364239 739837245 1000000000000000000 602350060 47178925 573080793 82816897 1000000000000000000 34506442 26712451 1565737 4137456 1000000000000000000 294925276 208839105 294883596 83923992 1000000000000000000 308942382 145514857 147521649 44230049 1000000000000000000 649386399 273056399 160045937 489960242 1000000000000000000 655924558 280907108 345731533 31802842 1000000000000000000 932915451 919037432 557535717 754123261 1000000000000000000 507799045 336110905 335736628 430484527 1000000000000000000 969960327 392957071 20633197 727714716 1000000000000000000 75659649 45916021 2829874 61584684 1000000000000000000 195838035 7055973 154271531 152181866 1000000000000000000 118938952 111192862 53916579 29609431 1000000000000000000 646320099 432259633 96121799 523507217 1000000000000000000 476765612 106932922 272291317 331335531 1000000000000000000 579942991 569376521 141898707 198037383 1000000000000000000 972334292 243347460 256433461 330806533 1000000000000000000 65532171 61339889 64563299 35941188 1000000000000000000 519137524 96866628 370954886 346803146 1000000000000000000 461139809 265770226 58819182 7366041 1000000000000000000 901738645 510032643 544614210 207198085 1000000000000000000 42655934 32974689 27844943 1745912 1000000000000000000 118652499 28061115 68529439 57162974 1000000000000000000 26094851 22995200 1704998 12550956 1000000000000000000 512931698 324376630 62444461 31024389 1000000000000000000 29572871 19096603 12545747 13484598 1000000000000000000 692384277 631139761 193622767 31279152 1000000000000000000 334159573 181119279 169667838 118055470 1000000000000000000 179286929 97378549 113602578 55719405 1000000000000000000 123960574 20245804 104111951 121618069 1000000000000000000 174727222 63891454 27133446 114808271 1000000000000000000 437400839 196779994 330934773 209801260 1000000000000000000 183230036 100522199 101123406 144491377 1000000000000000000 466315870 105554964 90564794 185012508 1000000000000000000 110556773 22479630 50100297 107510463 1000000000000000000 612360003 351088260 439859037 447741582 1000000000000000000 44457381 13584843 31127009 8651961 1000000000000000000 727842746 616100285 255438467 162896384 1000000000000000000 32564056 25436895 32354255 7832256 1000000000000000000 993506351 831962202 91949961 80270770 1000000000000000000 64765655 59784703 50028467 29050221 1000000000000000000 539373731 144301256 323290717 490124639 1000000000000000000 120771665 96567853 47285512 53372161 1000000000000000000 837633444 545952875 665982787 648045135 1000000000000000000 116761272 22991018 89553697 94027557 1000000000000000000 58303063 14084958 28796906 49809879 1000000000000000000 178291812 82721690 34369696 121558208 1000000000000000000 719584695 94491873 145995066 155356778 1000000000000000000 996177298 996152425 662012283 82732334 1000000000000000000 189013394 72789076 84793186 109849705 1000000000000000000 435233278 419362123 409208320 281166744 1000000000000000000 110877518 25887928 59547276 64978983 1000000000000000000 147612311 10373956 123615264 4628100 1000000000000000000 808592063 646469633 742939146 21370733 1000000000000000000 741273227 175617606 621399693 397936669 1000000000000000000 180376650 99354913 155915409 151429507 1000000000000000000 583941642 518761150 173215944 196865071 1000000000000000000 536892183 429825970 536706815 378139915 1000000000000000000 680447774 411236746 497801735 344599577 1000000000000000000 583946760 581129337 375069999 433251375 1000000000000000000 826428892 242330556 25169303 150578927 1000000000000000000 693230493 236669108 47278792 88013105 1000000000000000000 611669666 245272807 289694087 449159751 1000000000000000000 197743695 37458780 99643673 90426569 1000000000000000000 81185436 15636440 34710797 8239072 1000000000000000000 163117809 157142140 4853090 91054498 1000000000000000000 29631370 20651041 6068474 24612842 1000000000000000000 876800593 176355190 428152074 36953239 1000000000000000000 890997212 213771566 444240338 339030648 1000000000000000000 148164206 34209978 137143983 74201919 1000000000000000000 659891331 293508266 156371543 114537776 1000000000000000000 334576499 122074172 198272362 105351359 1000000000000000000 838748307 487233223 59930061 309658184 1000000000000000000 461396376 33901017 255254565 286233702 1000000000000000000 418200601 417424482 200049468 280276950 1000000000000000000 285423400 65849860 194552411 187970863 1000000000000000000 295752928 220942571 80754147 210147103 1000000000000000000 916619792 426237556 211669226 146806203 1000000000000000000 493684562 420487668 313891231 48249964 1000000000000000000 943526690 349182360 219025085 223527312 1000000000000000000 587371939 137081860 432356545 157582337 1000000000000000000 278271798 27885197 40522091 210577948 1000000000000000000 210689779 177095406 189838555 20226001 1000000000000000000 30039028 13665186 6561559 14753791 1000000000000000000 244735419 67567187 40957135 29058964 1000000000000000000 378585344 51292964 257222810 142916582 1000000000000000000 465748970 447330049 250495635 301179402 1000000000000000000 974442509 721087986 473996558 813145944 1000000000000000000 309764000 279114368 194910703 27367169 1000000000000000000 606879725 491173819 475710066 90933664 1000000000000000000 95259445 37546839 75562408 56109419 1000000000000000000 918436902 295601050 900545444 545830061 1000000000000000000 574247885 24290 71356748 430632338 1000000000000000000 759407906 564236440 595283861 13262516 1000000000000000000 135118434 45844835 114921802 2450226 1000000000000000000 242361030 16465783 79081110 148623629 1000000000000000000 958867232 606154845 543570767 156661018 1000000000000000000 158974847 34886438 67988026 128135317 1000000000000000000 67348269 973459 43015978 21666412 1000000000000000000 908584304 855333905 528338798 861065499 1000000000000000000 305988742 133668717 197435853 95023627 1000000000000000000 786205417 85154198 434966069 611894586 1000000000000000000 199071390 17500829 35637203 29157497 1000000000000000000 818190038 280248257 549232315 202090391 1000000000000000000 134236421 126864244 117806719 20052669 1000000000000000000 509208831 129979881 362183656 113002162 1000000000000000000 436838592 165356785 426060270 130682620 1000000000000000000 544197286 454269741 479523260 475295128 1000000000000000000 210319914 116725579 147424584 134016449 1000000000000000000 819055311 808100872 15350647 471747029 1000000000000000000 28516660 6922678 13842262 3788947 1000000000000000000 676503790 206001241 130549371 523528881 1000000000000000000 488455051 78162226 362522379 451528002 1000000000000000000 898092821 29825507 491567054 420696349 1000000000000000000 738546836 151502691 76090415 654434258 1000000000000000000 105481205 50139130 2834627 32506310 1000000000000000000 550203174 181011778 529629159 434909197 1000000000000000000 934356973 907328815 670219430 177259339 1000000000000000000 959537805 944385835 156857833 50513378 1000000000000000000 567749763 463986232 303938851 560035396 1000000000000000000 199330599 54386285 148283899 140755279 1000000000000000000 748651531 718309436 181642809 280519652 1000000000000000000 757976174 343331507 499867024 403175119 1000000000000000000 714590444 266609891 659099673 121015896 1000000000000000000 574710976 213547645 514398903 512838276 1000000000000000000 693840927 274330205 419065006 303589911 1000000000000000000 935486665 664142117 556031499 871996590 1000000000000000000 798027626 346204814 303356011 248206880 1000000000000000000 760362077 28527859 563869650 192324123 1000000000000000000 632369825 567116026 192955571 221845263 1000000000000000000 895510956 136381006 178726839 368731516 1000000000000000000 78744559 8647162 68710178 53212866 1000000000000000000 369670500 208208417 225852628 169296610 1000000000000000000 78323959 26492838 25779611 1796740 1000000000000000000 344823687 190242578 193267609 240681813 1000000000000000000 748245971 607898679 594282327 516196956 1000000000000000000 557097681 401329046 217284511 112703329 1000000000000000000 226174085 88641813 182706628 100784376 1000000000000000000 316501215 125650774 119242096 64358716 1000000000000000000 168737480 56565786 92738037 86891981 1000000000000000000 183943034 173982000 56486196 69304412 1000000000000000000 208832316 133010573 27853710 118686903 1000000000000000000 583257257 122168701 494186675 465260627 1000000000000000000 180871133 140862864 159441795 29947382 1000000000000000000 987078874 349143170 658065956 507282918 1000000000000000000 451559613 305427647 22568679 183765862 1000000000000000000 80274522 56313906 24273328 28962838 1000000000000000000 256281960 124631970 250038055 104316726 1000000000000000000 369151617 252629592 101108969 62483698 1000000000000000000 488785892 102005470 264711197 21787728 1000000000000000000 713521190 125526850 90276063 252059455 1000000000000000000 730524061 149098187 74759728 412629326 1000000000000000000 826066961 394250684 119767586 93570981 1000000000000000000 686080688 482976667 146759841 129831247 1000000000000000000 919546353 285564076 616792756 29335668 1000000000000000000 658028884 35620022 67503150 299184658 1000000000000000000 759795785 225987054 97793141 18179682 1000000000000000000 641855870 397477516 98191902 499004404 1000000000000000000 430891079 195286294 74283485 170741040 1000000000000000000 525761570 209776752 47666959 130696767 1000000000000000000 415199286 119751503 380181855 28971828 1000000000000000000 919363087 79146865 852343284 542137231 1000000000000000000 931650034 723737474 106980366 893279004 1000000000000000000 226615731 49913796 154852603 58351228 1000000000000000000 988535378 512838684 754684195 921034007 1000000000000000000 400444879 391177373 326572664 254805288 1000000000000000000 959846353 785487283 539448496 279809991 1000000000000000000 562134102 370135824 480738102 476413563 1000000000000000000 315494729 301854560 275164443 183353418 1000000000000000000 797362695 90614737 616998866 194553149 1000000000000000000 680630917 101194391 672674415 641984026 1000000000000000000 762029340 683329527 106460104 17465209 1000000000000000000 346128147 137531933 286832074 112751197 1000000000000000000 79643879 8936844 76920085 58563653 1000000000000000000 880176044 625469045 36775632 512343438 1000000000000000000 113835905 32902923 47435931 86731031 1000000000000000000 916011050 590059781 884251816 703717775 1000000000000000000 783364383 663281199 227134868 261431934 1000000000000000000 387625316 71454228 50544698 351061118 1000000000000000000 761410427 367914248 606798478 607069334 1000000000000000000 74103087 44462877 23367382 43567256 1000000000000000000 235450451 207560953 112171833 129519585 1000000000000000000 969805482 550823741 941646945 931050964 1000000000000000000 939531341 345171363 151693210 223989456 1000000000000000000 270660594 133311576 129145339 159653410 1000000000000000000 418321073 31613722 377690302 176175531 1000000000000000000 85088043 26136240 73020141 16452956 1000000000000000000 916954595 817806744 785405051 390746665 1000000000000000000 561601948 388381350 253147210 502553680 1000000000000000000 624478588 212626600 341924122 467592938 1000000000000000000 397328833 85038280 187444199 301065140 1000000000000000000 783088673 634822121 682659667 467281202 1000000000000000000 584581156 557265780 315482794 216799391 1000000000000000000 851459401 266162839 211465754 81502442 1000000000000000000 418873080 300928642 226377722 28392876 1000000000000000000 470834556 205299024 332699548 145237790 1000000000000000000 299446653 107951148 8301841 267281060 1000000000000000000 495750208 404594421 454983784 290557195 1000000000000000000 415228470 188883793 123833993 151253128 1000000000000000000 802914185 480811959 353319745 444419458 1000000000000000000 840820623 357187120 215193053 374909503 1000000000000000000 273799608 126141712 132325389 168895340 1000000000000000000 938691690 872951395 354248164 55665021 1000000000000000000 420574848 292791607 195524175 414753874 1000000000000000000 987897209 666675920 251257907 258700758 1000000000000000000 483192825 246443576 52923561 264373405 1000000000000000000 600293493 490177151 473610546 383465571 1000000000000000000 675258320 606433781 600384790 416095970 1000000000000000000 768232716 488320090 73399598 24374373 1000000000000000000 678218400 505843749 517634388 392809719 1000000000000000000 412718847 265063165 102710499 173631157 1000000000000000000 734563472 667023874 292330715 151013989 1000000000000000000 551981866 139281683 181581409 239036167 1000000000000000000 945317052 645204048 807177723 561532413 1000000000000000000 702395809 413468492 541691116 482757720 1000000000000000000 245355617 120230804 156598591 47528691 1000000000000000000 342127788 269209216 206681984 84680624 1000000000000000000 57562268 19061834 28922201 25722050 1000000000000000000 673476702 651828609 339400232 67877854 1000000000000000000 345593526 124777369 122201010 213174840 1000000000000000000 446009342 216022270 215531202 121592515 1000000000000000000 243467181 168666236 18459141 140420733 1000000000000000000 701531085 493915622 137815805 695496248 1000000000000000000 992910259 296508044 565694167 311827372 1000000000000000000 366415659 221119479 35509578 266966841 1000000000000000000 68199376 9263362 22040767 30002324 1000000000000000000 74620975 16967573 31968317 45690683 1000000000000000000 964699823 699897998 754900160 18411845 1000000000000000000 675587357 473926715 537133330 356962880 1000000000000000000 576400311 296163028 532007229 224560348 1000000000000000000 74415956 58506340 72016239 4847011 1000000000000000000 990841068 785144223 604882571 43169997 1000000000000000000 401206934 295895878 340271673 213095042 1000000000000000000 777608867 405183092 64591924 477139998 1000000000000000000 38348760 37869470 17264592 20522328 1000000000000000000 796618351 756227893 792669580 432028241 1000000000000000000 892003801 96819065 303505765 494582126 1000000000000000000 316619658 138744437 258301642 131625198 1000000000000000000 918741097 56370374 828944783 35725741 1000000000000000000 279981439 134472401 24406585 55371504 1000000000000000000 388594461 227108293 206826957 203164705 1000000000000000000 633835801 597274843 343670271 47549292 1000000000000000000 113055249 110440088 64152846 92407955 1000000000000000000 141789804 94606724 31997015 91053743 1000000000000000000 858819883 678656052 305168356 21512398 1000000000000000000 901969052 35410709 45034965 733157966 1000000000000000000 335605524 56125669 222164703 322442311 1000000000000000000 875710322 739724188 677943457 54745579 1000000000000000000 102977127 89225978 13525293 17091401 1000000000000000000 798028691 758370521 747514737 789694272 1000000000000000000 381330953 291598726 130583731 52272033 1000000000000000000 534522192 131880430 469721409 374910050 1000000000000000000 125250169 25244064 77402384 14429041 1000000000000000000 694688739 526801820 641554752 132032981 1000000000000000000 23619805 18610590 8694973 18006431 1000000000000000000 155289914 81489452 65614148 42626865 1000000000000000000 355840184 171904710 291399490 341733236 1000000000000000000 644044305 355803994 275274387 495747258 1000000000000000000 869601097 843090930 74328570 150481662 1000000000000000000 177762931 42526768 26750176 149124358 1000000000000000000 739837041 596532680 114088632 438240213 1000000000000000000 733599280 673957087 368112739 303172004 1000000000000000000 473080771 105777256 357239902 261184914 1000000000000000000 539267465 116993704 106683847 532231667 1000000000000000000 880456936 557103888 102127932 554594878 1000000000000000000 517935718 258556791 359775554 110478726 1000000000000000000 953681830 691416733 120879787 435856797 1000000000000000000 114068668 48193673 23388865 91353127 1000000000000000000 629602443 622422561 405580655 62252362 1000000000000000000 88058988 34996605 4196048 53890362 1000000000000000000 240794938 77591786 135517597 182652869 1000000000000000000 672929268 120422896 185384249 94101209 1000000000000000000 950242823 641842894 227076238 745174164 1000000000000000000 521588673 359034152 77884287 405050611 1000000000000000000 462516575 184964602 236163130 208918238 1000000000000000000 783865855 580631712 618532223 59866051 1000000000000000000 76837760 66851968 16393989 67264169 1000000000000000000 261345164 219401098 6519406 47196491 1000000000000000000 224842081 165091711 178213572 145610559 1000000000000000000 120340221 61917659 70974651 118741510 1000000000000000000 265898129 261336066 210355522 175853524 1000000000000000000 808308876 104907773 340596829 179753540 1000000000000000000 348437675 91910081 317150928 205277685 1000000000000000000 502323624 261262601 206598486 321941425 1000000000000000000 368910365 230102639 309025747 48423107 1000000000000000000 995135536 115677335 356080478 335602111 1000000000000000000 520942867 417208075 388862789 385603732 1000000000000000000 745732134 386078725 693699321 145562808 1000000000000000000 12387314 12350249 7383870 10580669 1000000000000000000 793408871 526124751 86831978 726348018 1000000000000000000 838788729 670375708 18272604 249608410 1000000000000000000 618484695 522768498 308363212 432427105 1000000000000000000 958953728 730635622 369356368 656542152 1000000000000000000 896397333 641897970 794373429 556592500 1000000000000000000 651038459 587401621 575464073 333817968 1000000000000000000 773970082 6005122 16333854 119031367 1000000000000000000 606671132 315866190 229581067 113209233 1000000000000000000 944696961 671058418 676858509 889860095 1000000000000000000 468365647 82902249 467048666 254622658 1000000000000000000 345822939 254788050 108470858 34148134 1000000000000000000 29135720 21081366 27835119 15019479 1000000000000000000 459427155 174990920 310400531 85031988 1000000000000000000 51529356 38066368 29291024 5235440 1000000000000000000 911482642 153291521 554062425 788889200 1000000000000000000 208389993 22298520 146259376 49470218 1000000000000000000 3999827 3166687 1544000 1496117 1000000000000000000 247924109 15514534 170009050 16126197 1000000000000000000 411393891 143922795 265685838 243522794 1000000000000000000 277494558 174607493 257256381 39209612 1000000000000000000 733198657 275405548 197672554 399194812 1000000000000000000 650657659 555651090 561069072 514821491 1000000000000000000 114201954 21014176 99028176 113438696 1000000000000000000 797072598 324878458 520664540 454568719 1000000000000000000 749091591 431799718 274402311 722616132 1000000000000000000 439342559 215362936 397535175 236122056 1000000000000000000 146850380 119632360 117971239 136610163 1000000000000000000 91206845 78438209 66932588 55934823 1000000000000000000 92073753 40007600 33311763 12816387 1000000000000000000 207138584 193335432 29114759 17991470 1000000000000000000 190018834 173439925 32475767 107305721 1000000000000000000 943277381 943109757 492627874 370079780 1000000000000000000 599267334 188534672 449117348 243182995 1000000000000000000 704064538 671172716 104544628 335934883 1000000000000000000 324150623 54671840 130354871 70944920 1000000000000000000 463704719 185544322 25551106 453576944 1000000000000000000 402299278 133436962 78996802 83203440 1000000000000000000 248020122 136235262 131680967 97628782 1000000000000000000 371035877 66429171 274938857 92062466 1000000000000000000 367326021 136395272 219549123 40384300 1000000000000000000 88993230 17665154 83411662 73557493 1000000000000000000 121095633 94977132 89474990 18856034 1000000000000000000 276835717 66525536 179136132 226902614 1000000000000000000 453677464 398575071 304297841 338329569 1000000000000000000 805355955 192935570 800073886 464981791 1000000000000000000 402328190 219463378 342799579 401598323 1000000000000000000 226807634 48324593 45341718 202830099 1000000000000000000 426413309 340849157 164773006 263224900 1000000000000000000 527315421 97674662 340600178 412683080 1000000000000000000 285857802 134226779 272465347 281543558 1000000000000000000 176065009 123225791 71431672 18608104 1000000000000000000 263470732 40374039 61156462 205415095 1000000000000000000 563473253 312625391 413117444 531774393 1000000000000000000 482584255 245171433 244772441 117963080 1000000000000000000 976135634 126492857 102282235 477362974 1000000000000000000 96043833 18172009 12916028 29339304 1000000000000000000 652118365 122240317 31839898 338112871 1000000000000000000 514743908 95609320 375756230 90520698 1000000000000000000 397272886 227194337 60347837 111830586 1000000000000000000 830071364 197297103 250453413 518951009 1000000000000000000 767271497 289094007 723767933 614538046 1000000000000000000 963810440 961902597 191476636 178006370 1000000000000000000 159176643 93884999 85998567 132390388 1000000000000000000 836945364 345040961 217959873 59188552 1000000000000000000 440843048 412978853 104659906 389386869 1000000000000000000 108658144 73291176 22849039 86483333 1000000000000000000 665922938 389191504 420728885 315924212 1000000000000000000 874946764 563934021 151207229 747381271 1000000000000000000 782147085 139425015 773246748 685592336 1000000000000000000 275178230 153265737 36453481 206935253 1000000000000000000 563484764 531930960 268921134 377668257 1000000000000000000 99228028 2053870 46578929 10785493 1000000000000000000 185746467 50462775 90963808 94499706 1000000000000000000 826523353 233182972 356021983 95282679 1000000000000000000 343575893 77467822 159611700 102662544 1000000000000000000 306770128 222863779 128575790 243940151 1000000000000000000 87897807 38347342 71665207 26408465 1000000000000000000 387423293 341730747 48649110 202010337 1000000000000000000 553266414 204641706 324690942 3774976 1000000000000000000 744723061 445577857 70122276 322392941 1000000000000000000 57538533 56582893 39855111 38528936 1000000000000000000 975640633 183339376 299339925 877961940 1000000000000000000 261791353 56260219 10613585 141348157 1000000000000000000 572915489 159831253 404850366 561368591 1000000000000000000 473779375 180019826 238663187 364328498 1000000000000000000 9461217 1497134 5068209 7144285 1000000000000000000 375225959 361257584 33901123 99072824 1000000000000000000 737699559 104832063 497028942 517258075 1000000000000000000 566394462 101511726 458323358 310203316 1000000000000000000 786983678 556825893 766331886 86792025 1000000000000000000 688915937 142078973 440853940 125732017 1000000000000000000 918524995 711742759 629481309 810026766 1000000000000000000 244557535 176023777 236052996 144637232 1000000000000000000 312032913 205741791 11165304 295492800 1000000000000000000 209738502 167873849 31382722 5516357 1000000000000000000 957203504 514951915 490141387 220260431 1000000000000000000 759164899 539186455 406852476 586101462 1000000000000000000 976886513 731268809 825096710 350623429 1000000000000000000 819429727 205472898 712597374 657602506 1000000000000000000 965759145 210521514 813775309 4308692 1000000000000000000 836565725 490172300 604301119 623235406 1000000000000000000 343580810 261618830 130473951 57492955 1000000000000000000 49745006 48083951 33837000 11601345 1000000000000000000 571674729 309867356 101646964 197813114 1000000000000000000 220734908 117818681 2709196 82804164 1000000000000000000 996303996 949892384 678100415 374971395 1000000000000000000 278535656 51165801 5647006 62434257 1000000000000000000 719833364 470302872 162192884 534007969 1000000000000000000 717854150 286901164 611352883 489972027 1000000000000000000 409338960 43101584 95011381 272823888 1000000000000000000 920858537 65742474 288566693 522414633 1000000000000000000 632025493 83190720 513277513 348663795 1000000000000000000 772085102 95290349 630836427 500619267 1000000000000000000 728730142 697042014 224397772 194453298 1000000000000000000 567867329 107397754 373687245 24689093 1000000000000000000 613871019 358077968 299108366 65049026 1000000000000000000 173180905 55714438 84956176 17338982 1000000000000000000 113355075 77733435 103227428 45353030 1000000000000000000 710671400 247859244 470401946 10659942 1000000000000000000 693338754 40934200 538092914 480565036 1000000000000000000 128797353 87785759 55534596 46509750 1000000000000000000 206539389 52545412 95772 33617728 1000000000000000000 963258701 856534682 233258995 779540939 1000000000000000000 530123101 343772477 113355612 514300137 1000000000000000000 877229859 787106590 531861454 179937347 1000000000000000000 840040982 238686999 592879190 797850437 1000000000000000000 926662621 648227659 681502167 39003772 1000000000000000000 709602425 149580140 98180238 572110784 1000000000000000000 315084363 254356513 245628618 22507910 1000000000000000000 191365810 70708260 111209652 5582923 1000000000000000000 235354073 218213636 31511251 211623473 1000000000000000000 979984465 175469702 81293679 879513316 1000000000000000000 854484628 686294703 339816032 648200398 1000000000000000000 273472174 17908009 111869019 138706222 1000000000000000000 30603459 11559209 19907038 29165261 1000000000000000000 468850069 123009206 50693090 176770594 1000000000000000000 485279447 16656552 352465885 23580851 1000000000000000000 777787300 466150110 230072095 169382242 1000000000000000000 940558037 135165084 473916374 408609077 1000000000000000000 280770221 49007238 207618128 4737166 1000000000000000000 72511578 48153518 27704924 26104605 1000000000000000000 245365046 184572397 242472452 44114544 1000000000000000000 533368798 321101975 243038397 248807982 1000000000000000000 867698683 94303427 249648457 228614214 1000000000000000000 18586324 1243296 10794140 2426471 1000000000000000000 220786098 90250670 174969240 24950920 1000000000000000000 666069989 129068143 456967339 110702417 1000000000000000000 746667711 223468327 496183860 654064864 1000000000000000000 629588981 209933915 119544269 554277223 1000000000000000000 403983767 166165970 189740606 314290934 1000000000000000000 734421695 731242507 622150039 664861408 1000000000000000000 68407215 39510772 64775464 64604517 1000000000000000000 34665852 14066639 32284648 976717 1000000000000000000 79779573 52248160 78454694 79667166 1000000000000000000 78000117 57653653 34053702 43466887 1000000000000000000 278019319 141336056 145252660 124410069 1000000000000000000 972433866 74464920 189846489 939504173 1000000000000000000 420049579 58341258 327416176 214372746 1000000000000000000 315773765 290680973 288485784 266925673 1000000000000000000 75070016 46078321 46584748 40192248 1000000000000000000 87554151 74474127 34443922 16344264 1000000000000000000 735930347 511276668 225399476 666582571 1000000000000000000 518386574 331975401 488302445 380620692 1000000000000000000 512883187 405235817 512228034 105147046 1000000000000000000 943353220 854748946 475041095 265981749 1000000000000000000 647257275 557576511 377731045 395234405 1000000000000000000 268027300 205337416 137647983 137156815 1000000000000000000 698168407 285476660 218654371 12573041 1000000000000000000 672015608 169901445 656340035 285707350 1000000000000000000 8572575 7208576 6864773 39746 1000000000000000000 291263417 12856614 281600250 222023719 1000000000000000000 286034818 92182841 166493222 115326322 1000000000000000000 452742211 149831410 16562223 320218918 1000000000000000000 534068201 52501238 213207472 3335395 1000000000000000000 731416979 327424935 621502287 335303648 1000000000000000000 305646978 168292279 173133316 149611271 1000000000000000000 98069202 38902086 59460389 51125790 1000000000000000000 337096143 238163082 321212292 246086171 1000000000000000000 27675215 16982253 16526465 19162615 1000000000000000000 334251152 170920197 25920673 59603672 1000000000000000000 116908995 13686293 91697301 94523964 1000000000000000000 476733694 121027854 96971851 233734958 1000000000000000000 457951224 38146696 110317435 199821362 1000000000000000000 442909839 138093742 15014844 153285066 1000000000000000000 272243681 184801653 173378337 198063607 1000000000000000000 958747705 453220108 814404115 486797732 1000000000000000000 433943733 149965887 85143487 38876303 1000000000000000000 694049430 387497103 81405948 466888042 1000000000000000000 275128234 137911566 8956082 248117456 1000000000000000000 442697149 210739663 245727629 224304029 1000000000000000000 387748470 280864442 154015963 88284802 1000000000000000000 922502853 658181838 565407385 534178791 1000000000000000000 472823548 402962375 323199366 52176006 1000000000000000000 678008472 252269649 575507413 585303325 1000000000000000000 806289885 54386591 493475208 669952842 1000000000000000000 745577194 334158221 77080944 575777771 1000000000000000000 933368946 651113543 109474182 136071002 1000000000000000000 117845758 19768996 87052531 72170595 1000000000000000000 496931437 24066850 6117549 291827363 1000000000000000000 769339058 501400406 529269764 452978232 1000000000000000000 911843789 136501718 783015533 537531627 1000000000000000000 925788767 389231918 549118542 877194723 1000000000000000000 842065161 368210190 778912182 219957989 1000000000000000000 386843323 352641952 295884025 20904942 1000000000000000000 645117440 550208014 543266718 502311161 1000000000000000000 288780638 50798919 266611400 247480491 1000000000000000000 439473502 47637114 237363818 292979052 1000000000000000000 971774964 249776310 273077044 339593644 1000000000000000000 486023360 112057937 8354454 224103600 1000000000000000000 836410887 794702699 162493873 14788188 1000000000000000000 538424471 458259706 4849235 165036407 1000000000000000000 379263711 116273350 216232441 258202482 1000000000000000000 909876537 675699228 258933409 7179066 1000000000000000000 852135981 625608529 186341910 89366568 1000000000000000000 286683237 93797085 142559634 117315386 1000000000000000000 982261359 386533461 722702100 613634610 1000000000000000000 708366702 424148459 583323624 328078330 1000000000000000000 985821845 594551081 123773584 336079870 1000000000000000000 389310483 157514210 367652207 28104381 1000000000000000000 810171232 501612259 187325580 364805438 1000000000000000000 37103396 33717850 9821646 15207716 1000000000000000000 721273681 437100093 534635112 566401325 1000000000000000000 947244984 448889601 822649801 654328553 1000000000000000000 438157731 33068242 31767996 379904657 1000000000000000000 807899895 766336856 489472628 528135212 1000000000000000000 807182149 264642525 582046715 557067718 1000000000000000000 451357919 427269539 371075936 55326157 1000000000000000000 445049793 185865413 156770885 283532791 1000000000000000000 21986240 20942584 5848910 8918107 1000000000000000000 727192754 339739869 666138597 67608731 1000000000000000000 935263246 829826264 169877881 853788522 1000000000000000000 198482306 1031312 18722656 192196301 1000000000000000000 580683310 242400462 201856683 325075963 1000000000000000000 9798761 2583261 3314001 334303 1000000000000000000 133253499 122510848 112726139 60193508 1000000000000000000 413552114 183718070 257382935 223135316 1000000000000000000 443891418 169405568 390776367 27827547 1000000000000000000 499209465 254779373 244232790 435160807 1000000000000000000 128909179 75369429 118535048 85356587 1000000000000000000 769020181 589246308 718790811 286047245 1000000000000000000 841530429 218322899 178747847 476430590 1000000000000000000 765256665 425453607 478428026 590226537 1000000000000000000 135606402 1152941 74314044 97807257 1000000000000000000 439947311 435755214 411070548 292454562 1000000000000000000 860615260 202291092 104258441 781103482 1000000000000000000 253209665 10397025 149518659 3308769 1000000000000000000 863694150 367433091 712531467 118638156 1000000000000000000 13844188 12529400 6541677 11408517 1000000000000000000 858266725 48576279 178932717 56423702 1000000000000000000 102039346 16573913 97127875 4892282 1000000000000000000 845425913 27081739 283750344 727698764 1000000000000000000 987090064 319894150 648280311 93312979 1000000000000000000 459749816 102736952 32572304 291570526 1000000000000000000 468147215 188327353 285235042 425970542 1000000000000000000 454231668 452060702 307098348 445339462 1000000000000000000 129899016 114025400 66441746 101326332 1000000000000000000 653841150 205133750 228039990 500856501 1000000000000000000 840331672 263617837 69123992 392393709 1000000000000000000 20415843 15853938 9155683 9182823 1000000000000000000 180965157 59939644 86370509 126682412 1000000000000000000 14309453 13096728 5494731 9859247 1000000000000000000 882725390 252791462 662313647 172891931 1000000000000000000 225180842 194478207 162929281 54022032 1000000000000000000 477128541 118879705 228507401 22618457 1000000000000000000 414570510 306372566 74880333 4978146 1000000000000000000 333741024 330366727 288247649 3133314 1000000000000000000 905369986 301504007 527211547 586328846 1000000000000000000 104263972 37577142 76870193 95723480 1000000000000000000 935771611 43530585 336040264 346735164 1000000000000000000 18040604 9833890 13786852 6901532 1000000000000000000 739847358 599689559 477946896 341470862 1000000000000000000 813518017 697256655 270840369 2486442 1000000000000000000 353625698 331860084 100797388 61643079 1000000000000000000 121770629 68446544 49313693 32209981 1000000000000000000 5550141 3894066 4435779 1870337 1000000000000000000 985634465 32462859 461600141 179181411 1000000000000000000 80096073 17862513 75358524 26158672 1000000000000000000 798707639 653300360 108200082 746884295 1000000000000000000 952913429 951610909 900615725 387580963 1000000000000000000 763041988 398410632 505033734 591543630 1000000000000000000 451932611 444753825 31962632 72304919 1000000000000000000 793327165 216451578 642247773 782906930 1000000000000000000 914802642 488326343 701225860 206170642 1000000000000000000 421798191 43168378 287559075 176767186 1000000000000000000 440288301 4611771 412774610 335482114 1000000000000000000 888945804 676707630 312493491 179232574 1000000000000000000 37363748 33638096 12373692 32162931 1000000000000000000 20444611 18037258 10875619 14924324 1000000000000000000 397365227 271121962 311881166 273118612 1000000000000000000 161916590 117734292 138626914 13407175 1000000000000000000 101574132 22775351 94053898 86275205 1000000000000000000 542487773 29016612 261151757 344165420 1000000000000000000 275945880 223591595 208661257 39458669 1000000000000000000 496014377 270857128 17829892 98854154 1000000000000000000 708694249 486826821 692845137 658799534 1000000000000000000 651956120 355468600 548560000 508764287 1000000000000000000 62643105 10921855 43771380 14163930 1000000000000000000 725774704 235281404 630995842 641350925 1000000000000000000 863061934 578432226 383237632 319673469 1000000000000000000 81254587 24890674 41445253 4514462 1000000000000000000 384820711 30432875 341312441 359132954 1000000000000000000 324793212 301946094 251085323 137261861 1000000000000000000 464344484 97793222 73025921 210961271 1000000000000000000 803469510 549699839 309719329 148122154 1000000000000000000 357986216 275577477 266732078 345139147 1000000000000000000 818750505 640652518 455907888 436402815 1000000000000000000 182689299 9156860 89983222 83353880 1000000000000000000 589994232 544003595 55951228 107363501 1000000000000000000 22234376 530710 15487632 13739075 1000000000000000000 864445073 392245535 547707021 355605395 1000000000000000000 26512841 4863235 18712674 15573630 1000000000000000000 870975796 392670281 428677783 200023284 1000000000000000000 844175671 199447004 34895525 196399066 1000000000000000000 16601384 15169514 14509402 12724478 1000000000000000000 921140355 198389140 508322804 711357948 1000000000000000000 303870509 148602420 249287969 6336199 1000000000000000000 714688957 488844223 21045658 60024920 1000000000000000000 469030092 152840332 441079208 198928033 1000000000000000000 545377667 412749584 138785702 397981884 1000000000000000000 588544221 27896615 294935557 526216147 1000000000000000000 289502255 74084529 286158620 86748944 1000000000000000000 372712699 71346539 23704035 248445460 1000000000000000000 165556974 158872133 53159210 86976374 1000000000000000000 565971959 826232 24399172 49294531 1000000000000000000 291939482 104662868 246812458 81440659 1000000000000000000 807152174 234785437 556568907 673085756 1000000000000000000 345270189 318482331 128252509 334959169 1000000000000000000 569431664 473298462 505758915 73080814 1000000000000000000 280386139 41167923 262321983 116814614 1000000000000000000 528686689 408260879 241589912 391618857 1000000000000000000 132294796 108069063 81930436 62303581 1000000000000000000 616528996 462191283 188066340 173662465 1000000000000000000 744243368 321114471 717275440 301713920 1000000000000000000 803162866 748834490 638439328 669387189 1000000000000000000 180028980 24182169 126203295 148580719 1000000000000000000 650273553 25902164 182813655 229005627 1000000000000000000 184882452 159898404 99990045 184416369 1000000000000000000 466835147 395873937 265110916 103877716 1000000000000000000 319365772 252551010 108545128 291465106 1000000000000000000 520966813 1690391 371965435 427047076 1000000000000000000 809858234 92467823 259620441 141152146 1000000000000000000 774955352 659006434 580558215 257081192 1000000000000000000 9434747 4517762 2348000 5204194 1000000000000000000 761669801 658809158 640005866 87176715 1000000000000000000 743235863 229859503 206938440 378867813 1000000000000000000 761880936 582252853 421664848 638779207 1000000000000000000 399325811 160277066 231894542 260884283 1000000000000000000 110431849 43371879 44815737 14437781 1000000000000000000 124817629 54019475 94505054 77486574 1000000000000000000 548349140 456901421 274700749 54285401 1000000000000000000 556220474 282004169 1239487 144170426 1000000000000000000 25294406 22942687 12571809 17756936 1000000000000000000 942302559 558231657 618865193 282529383 1000000000000000000 862122534 307607486 263356053 543579099 1000000000000000000 897619815 8872539 866865822 892755713 1000000000000000000 971107435 671969854 743824481 649486849 1000000000000000000 107837161 36915303 35119022 18551089 1000000000000000000 523424580 377001344 517115749 421411301 1000000000000000000 11046738 7979998 825339 2595666 1000000000000000000 884939453 21591703 332984253 520022528 1000000000000000000 142204069 124655748 30932310 73557364 1000000000000000000 189826201 146330667 108252995 102205167 1000000000000000000 443401375 123176035 321955487 325791673 1000000000000000000 907462759 339905193 478138814 526908683 1000000000000000000 144599459 49388416 29401451 60710433 1000000000000000000 361957036 331582234 176109329 16208200 1000000000000000000 799642915 797289390 77878824 455938411 1000000000000000000 359181428 21519013 191856038 187849027 1000000000000000000 846586875 570241431 441108431 443478968 1000000000000000000 38339623 3371035 24412322 19424902 1000000000000000000 160666238 123380452 43994165 80248921 1000000000000000000 174402447 133783101 23561954 72682789 1000000000000000000 106233520 93229204 58253246 49285905 1000000000000000000 545473024 123997035 264122943 172937223 1000000000000000000 732357127 511893800 18872875 627354722 1000000000000000000 353033416 35814453 62471642 244915068 1000000000000000000 109060441 59718536 103600209 94094201 1000000000000000000 75861113 55483934 2160635 51862644 1000000000000000000 173580692 44489296 49755600 109570504 1000000000000000000 822976420 82028776 329940942 340030171 1000000000000000000 720157251 590655860 85457606 104482200 1000000000000000000 143273249 109660475 44080112 73485097 1000000000000000000 459445042 20842626 433919391 119864885 1000000000000000000 350938679 164114291 338991376 105064859 1000000000000000000 927900651 152324168 888737770 781925439 1000000000000000000 470308439 415994593 79575880 27897590 1000000000000000000 41253651 38844085 32976430 3093882 1000000000000000000 989544857 229695990 389574041 897248116 1000000000000000000 160016292 150227324 94243023 114513801 1000000000000000000 86457179 54503317 28542797 60748090 1000000000000000000 572733823 534430384 265133936 289301537 1000000000000000000 975504178 538470868 133783738 453775548 1000000000000000000 459980889 231210442 264874546 68150234 1000000000000000000 321628538 304911240 224894553 124690613 1000000000000000000 266573412 207357917 229313598 19315250 1000000000000000000 211226180 49164028 145590300 203853553 1000000000000000000 225721619 113298581 71349601 218381977 1000000000000000000 441044455 350689389 333831890 37557832 1000000000000000000 626533044 190047472 149800098 500001761 1000000000000000000 341888229 177122763 240594302 233720879 1000000000000000000 91948320 70692829 31700987 56447290 1000000000000000000 226993624 178460444 179194185 66958125 1000000000000000000 594749155 537538461 167201056 188721567 1000000000000000000 91685528 68777532 91071784 70710811 1000000000000000000 714127904 44784953 311548068 223561038 1000000000000000000 407097298 370333274 119909 168870845 1000000000000000000 498054691 289876585 357418780 452031008 1000000000000000000 304681598 152911013 261362047 52092921 1000000000000000000 1255611 893012 587485 1124832 1000000000000000000 513176566 142525542 31861517 23270756 1000000000000000000 21296693 6482991 8644041 18147267 1000000000000000000 42465913 20563146 21858326 22935454 1000000000000000000 209070854 92194245 85640688 36829873 1000000000000000000 493628930 476622535 324067913 387421482 1000000000000000000 516733802 118548887 466182860 11954410 1000000000000000000 137524336 78616169 87345165 27571246 1000000000000000000 728188229 596012366 111969001 130991743 1000000000000000000 392420597 82541746 20523375 389205423 1000000000000000000 480580244 269796427 246602530 305184943 1000000000000000000 102631390 26040058 84172715 60580030 1000000000000000000 95815531 23526016 26249101 39506926 1000000000000000000 174872696 24571789 139941333 55103798 1000000000000000000 579269166 301804339 72161832 82674962 1000000000000000000 990117944 170043128 243627805 281850238 1000000000000000000 466241353 73376059 275401819 284344557 1000000000000000000 129304594 55427601 50219636 63084282 1000000000000000000 344452450 318666664 198473231 54832345 1000000000000000000 28900874 20092373 11582271 2451775 1000000000000000000 906519051 425108362 391542061 465931049 1000000000000000000 812159794 588183317 802006225 79375461 1000000000000000000 215979210 16896290 25491946 212942840 1000000000000000000 398908739 56705194 64579925 3375758 1000000000000000000 254343636 141568827 128216330 126265892 1000000000000000000 346220112 163978926 164105671 241528541 1000000000000000000 873911570 66473414 469017239 637463518 1000000000000000000 955487236 105761145 29282135 830495802 1000000000000000000 796877665 293889411 41201922 49105073 1000000000000000000 285875911 78052475 68033090 138639330 1000000000000000000 749481323 649343362 237941537 242373879 1000000000000000000 438196987 239071326 318561980 145226704 1000000000000000000 652987023 191548657 641398140 24291344 1000000000000000000 624614562 160536157 155010103 126218365 1000000000000000000 405889083 160881171 170037373 275686382 1000000000000000000 735559801 653976437 299625282 319764047 1000000000000000000 880653711 853574748 630671944 451610320 1000000000000000000 45074794 35793411 35867098 36795735 1000000000000000000 875275499 725558539 522321067 697512805 1000000000000000000 85460296 75613218 14704260 35982097 1000000000000000000 80108477 34051599 6732567 7441383 1000000000000000000 63498938 35708625 8196433 239029 1000000000000000000 194907156 39048079 161454880 151281279 1000000000000000000 401149112 388651011 305070974 300510141 1000000000000000000 519765115 202283161 143723408 201690310 1000000000000000000 436077203 102139847 84365072 178045457 1000000000000000000 255868907 136372977 192965633 235438601 1000000000000000000 70807074 53867072 41832832 36616277 1000000000000000000 283038097 203671067 241565954 20202026 1000000000000000000 241168390 99599580 64300056 234119715 1000000000000000000 684702468 297195555 420842920 287762500 1000000000000000000 741494003 82718652 273769269 330390080 1000000000000000000 849617289 552158084 707075405 23042621 1000000000000000000 344460099 178597677 107510130 220217779 1000000000000000000 338244105 5302319 40694204 224468629 1000000000000000000 737201553 504724953 147436163 222192087 1000000000000000000 796167321 425731145 245192197 483661017 1000000000000000000 600529128 355072397 67487912 441250185 1000000000000000000 827161205 747251671 384858194 589814925 1000000000000000000 949503946 348454397 468902806 278597625 1000000000000000000 837190083 537062611 768858830 759354749 1000000000000000000 679212296 581483325 527261047 328448370 1000000000000000000 323539782 123564144 260082137 143055173 1000000000000000000 473163470 247401969 307160469 112942679 1000000000000000000 217210081 149756061 212338001 188005851 1000000000000000000 644523566 389731842 429328160 348647934 1000000000000000000 822091001 218261756 162429978 800727059 1000000000000000000 171788 104763 48146 48268 1000000000000000000 268568429 70686117 144158389 76477438 1000000000000000000 273479710 170297646 186948967 105610857 1000000000000000000 324192242 20254594 37365432 255882888 1000000000000000000 857024651 297332236 796162349 708335169 1000000000000000000 179098757 83347699 175903666 156574656 1000000000000000000 918080190 528967939 618779399 674931007 1000000000000000000 575566518 122309856 147173000 353970124 1000000000000000000 538168033 213104216 534349006 15303390 1000000000000000000 427225760 196040226 275990361 300063394 1000000000000000000 906522258 90291735 693221517 160045533 1000000000000000000 390631518 156426754 374787812 332796382 1000000000000000000 385334993 17861253 53774760 4537918 1000000000000000000 982475377 757002629 674306870 420011494 1000000000000000000 837111930 517256431 153455973 105501202 1000000000000000000 120421609 59481204 60615023 35921298 1000000000000000000 245317851 145327065 130545041 179439764 1000000000000000000 172340265 142492679 41389894 36120016 1000000000000000000 889426689 605567238 861460762 12661622 1000000000000000000 306243447 55660258 222869997 259361779 1000000000000000000 247512256 104259141 95114019 208812266 1000000000000000000 510572201 416697957 381006268 397026045 1000000000000000000 169615028 29850203 10775662 120589865 1000000000000000000 905661427 509869628 2388489 379599431 1000000000000000000 541637776 519221832 67722560 264897228 1000000000000000000 461521597 114665481 333576823 286853180 1000000000000000000 755884924 390911994 255156899 736937768 1000000000000000000 160361760 112372816 13876145 13501279 1000000000000000000 56689058 44936953 9918419 24120060 1000000000000000000 495276130 420644284 219030912 143034968 1000000000000000000 471487112 288646962 280064180 176091991 1000000000000000000 348937808 300147319 56993304 214519666 1000000000000000000 811700106 507647190 747242809 467611962 1000000000000000000 721653419 283233999 212568067 515830875 1000000000000000000 975642742 500778972 437252758 933157774 1000000000000000000 809506256 432264693 474742693 280985775 1000000000000000000 436103078 217003432 242215182 367278364 1000000000000000000 258828472 165226546 79316067 249496406 1000000000000000000 745688926 193115806 455662078 576748347 1000000000000000000 349469201 144549825 84607937 283571841 1000000000000000000 993012522 875338121 139146093 418753565 1000000000000000000 434584859 409879199 90224798 194753359 1000000000000000000 716737607 442175260 620315781 423902905 1000000000000000000 586605482 55784780 497207610 323843892 1000000000000000000 786155298 301368868 177245547 525089757 1000000000000000000 508561220 415700507 237556092 301988753 1000000000000000000 201589561 17032898 60256777 106055147 1000000000000000000 606811486 230563480 57225162 476422401 1000000000000000000 713298891 536079483 679895522 268453246 1000000000000000000 362613086 174030814 214379544 338259269 1000000000000000000 40472220 13945517 786336 35486087 1000000000000000000 122712302 62547854 24541981 120219101 1000000000000000000 775767233 338477239 242505190 319613017 1000000000000000000 102909300 17416583 99183771 45957803 1000000000000000000 714193843 83198164 123003935 35244278 1000000000000000000 469203819 204661087 136933422 430681784 1000000000000000000 87307942 28045040 36166543 78451428 1000000000000000000 795568849 500832030 233129830 425576279 1000000000000000000 845962564 212906895 798732175 390536767 1000000000000000000 414158619 227071033 394751561 125029200 1000000000000000000 890178714 530652951 32785086 719833162 1000000000000000000 479720077 239304465 233460953 452018373 1000000000000000000 880895888 27336477 24705099 427909600 1000000000000000000 493471382 41771574 323846447 162610233 1000000000000000000 331371578 259620920 179687069 205691270 1000000000000000000 718216326 423502905 265956212 327172147 1000000000000000000 978573218 283230562 268781581 302000826 1000000000000000000 661156080 622679627 10757713 307938488 1000000000000000000 792023915 630552790 789496506 684978401 1000000000000000000 208954521 16201188 129107491 24043328 1000000000000000000 515215723 97883312 29566062 118924184 1000000000000000000 926944456 186738990 555510151 438371205 1000000000000000000 240933771 117981098 221032623 197321869 1000000000000000000 783503841 406345166 165322592 168453993 1000000000000000000 519020693 498778408 317710674 161888529 1000000000000000000 400460888 360164736 234697339 70745228 1000000000000000000 206033046 67534544 187157616 132167300 1000000000000000000 362913984 182567480 19217626 146672318 1000000000000000000 42158755 20607260 30424788 17140775 1000000000000000000 538015975 252824844 214534719 534656437 1000000000000000000 911816573 818163948 33359371 828101497 1000000000000000000 265585278 208252870 57736364 57105393 1000000000000000000 410283866 86451358 88948563 267540233 1000000000000000000 821252016 351024833 579046606 746181880 1000000000000000000 164271282 72718183 69305531 43655518 1000000000000000000 683188459 678657235 520035491 237233102 1000000000000000000 63411872 42652447 54648213 23505797 1000000000000000000 513112363 138107758 301967244 329292564 1000000000000000000 853024250 377883835 572286812 338801307 1000000000000000000 592743532 365275339 205365363 1718730 1000000000000000000 499626011 87113524 390227012 438207693 1000000000000000000 107927098 79923711 58023245 67201533 1000000000000000000 229446375 145644965 160712521 11388365 1000000000000000000 577029210 156187179 203931686 371986588 1000000000000000000 119129698 36995884 36419249 67163643 1000000000000000000 872199325 754146598 165076995 350261893 1000000000000000000 68486697 5827576 39976278 43461019 1000000000000000000 612264340 19353813 437374000 489692524 1000000000000000000 315112561 212479162 96619831 62005091 1000000000000000000 864390362 140111886 330950388 548281569 1000000000000000000 330821185 141452811 250859972 311540314 1000000000000000000 861593871 475543445 349384916 553094106 1000000000000000000 38752251 20311493 28139051 1926209 1000000000000000000 348867569 299082298 304050367 295178033 1000000000000000000 11126845 4368262 1589778 3950468 1000000000000000000 65277009 11933490 10946673 25682004 1000000000000000000 59747149 415210 31749561 20102329 1000000000000000000 481161016 311159191 424699183 389941079 1000000000000000000 733012601 535451150 451607298 506183629 1000000000000000000 545940644 528984678 327645736 306150780 1000000000000000000 696102822 651267013 403571568 66506309 1000000000000000000 115988997 10336662 39913532 11055859 1000000000000000000 432601531 136285170 366632758 355784282 1000000000000000000 608794288 250271464 433966107 194137391 1000000000000000000 238382041 172079248 132707507 19071507 1000000000000000000 535348684 356789840 525402284 175344075 1000000000000000000 271033732 214705638 20530819 191679908 1000000000000000000 145142871 92863489 56848377 96000626 1000000000000000000 629158440 371532854 584953310 315156777 1000000000000000000 812864409 497849542 809742491 358437707 1000000000000000000 426452500 119516113 87517941 379796518 1000000000000000000 814977601 762457233 582466973 406604185 1000000000000000000 367822622 171442950 199523801 284743574 1000000000000000000 188023665 146564179 131810741 62539893 1000000000000000000 306455073 290998774 47632606 174222207 1000000000000000000 564743578 222457698 99461022 382271756 1000000000000000000 899310094 483112475 554134376 625670730 1000000000000000000 529635757 423039026 440646316 508016030 1000000000000000000 114863188 71536081 98420540 52593033 1000000000000000000 568733089 186584349 543985708 556623864 1000000000000000000 790295397 239670724 74083662 284176390 1000000000000000000 114342229 56149928 103499378 50331499 1000000000000000000 190201882 39728607 53268007 174259138 1000000000000000000 50145286 34545363 31919141 35260023 1000000000000000000 995164767 628366029 890448363 899218427 1000000000000000000 261384354 102498420 2285233 116865509 1000000000000000000 421154915 278141516 383293227 330732074 1000000000000000000 611570797 178758605 9707074 138957924 1000000000000000000 294468891 143506691 196213942 36691770 1000000000000000000 214471305 73394663 84766955 11909673 1000000000000000000 715318991 258132320 92168326 273639367 1000000000000000000 381214950 161503204 344364008 145411973 1000000000000000000 117054162 18185003 28610409 86826686 1000000000000000000 194198808 168792303 84322824 148174443 1000000000000000000 497787616 270632740 442026604 315505860 1000000000000000000 62689218 5815862 4972019 52722041 1000000000000000000 668463577 288241297 170038095 402761775 1000000000000000000 415977930 390974274 126631967 347233518 1000000000000000000 577327173 92264706 290947734 15044562 1000000000000000000 919886757 380056593 388724634 38764510 1000000000000000000 673212344 320262800 500635124 380126377 1000000000000000000 267682956 128234923 72727341 12392224 1000000000000000000 679464233 114554771 424484358 370561015 1000000000000000000 817474505 26975411 503701359 749219740 1000000000000000000 345185270 274686763 162872055 213064960 1000000000000000000 151049370 45089232 113673690 80234503 1000000000000000000 105070129 81430829 98740604 62222347 1000000000000000000 315814819 255445932 111667488 163886168 1000000000000000000 967661496 913438863 786012022 133062819 1000000000000000000 684531618 377127225 489604555 187448132 1000000000000000000 711197118 195146952 147462410 230146225 1000000000000000000 374488053 353618885 49848520 349321769 1000000000000000000 83070908 36584637 7129298 57865392 1000000000000000000 960650249 396007090 575332722 678998023 1000000000000000000 788282973 155570476 599247571 401936729 1000000000000000000 29551460 202872 15070410 2190531 1000000000000000000 25866090 3338761 16506794 21214213 1000000000000000000 470597523 17333084 448299266 332597182 1000000000000000000 727426930 264447935 655354916 277971870 1000000000000000000 181832370 181133843 133714994 179179420 1000000000000000000 429111731 280193292 37689017 164148312 1000000000000000000 939778795 230709810 49771081 847715679 1000000000000000000 84146068 61741450 54262292 13172204 1000000000000000000 257460371 111093821 180950453 145282448 1000000000000000000 423731244 298121886 218806671 173760117 1000000000000000000 728891015 407442579 710830509 193007905 1000000000000000000 508648891 268808543 393151690 242606786 1000000000000000000 631370098 125944438 553197640 116727589 1000000000000000000 918074189 225774166 156277150 759640198 1000000000000000000 215590129 52838293 190756527 199491149 1000000000000000000 597752845 213732179 372466314 184878091 1000000000000000000 397879529 240776495 97866433 376927556 1000000000000000000 690553746 552813304 463335575 80743273 1000000000000000000 902238667 717082943 544466002 810876925 1000000000000000000 256349992 40248128 182003270 145687268 1000000000000000000 435351760 151316546 260538287 418854741 1000000000000000000 169096338 152360852 77005725 24593019 1000000000000000000 26225726 8153414 9927102 4205673 1000000000000000000 14697495 4895372 13117485 392350 1000000000000000000 664181931 421577564 151443819 246360772 1000000000000000000 426299336 30027834 325703485 318474732 1000000000000000000 213840568 196003946 18634478 204421271 1000000000000000000 73143073 6599707 34153087 45103749 1000000000000000000 277781494 190668966 103313809 184626038 1000000000000000000 644581477 218400252 277165641 441682860 1000000000000000000 367870170 94533082 292793081 114577392 1000000000000000000 468100358 122286225 110587445 378254947 1000000000000000000 876167682 77250545 219574067 281739755 1000000000000000000 832289576 95777633 707989342 383922034 1000000000000000000 739123992 458864518 447038175 463620812 1000000000000000000 399098106 313834558 371579197 140377727 1000000000000000000 4487217 3066722 2770260 886146 1000000000000000000 546860220 26166064 345163368 470206993 1000000000000000000 498829123 84337991 378915375 434377843 1000000000000000000 13244227 188856 9629248 9600486 1000000000000000000 5912615 4328189 3001459 2203884 1000000000000000000 405775986 356030005 193651712 385758960 1000000000000000000 958957773 535782995 668817525 421338894 1000000000000000000 27975513 10561943 20575459 1407287 1000000000000000000 224898370 172532878 195257872 138361810 1000000000000000000 482051168 88881791 334706199 53791847 1000000000000000000 883994386 563942745 720404321 352419326 1000000000000000000 903814138 682806311 688197670 353109690 1000000000000000000 506961627 31217389 387041549 244834144 1000000000000000000 477315287 402463539 43927034 211365673 1000000000000000000 31440309 13740833 28501395 20064566 1000000000000000000 454473853 387049669 116499691 106538218 1000000000000000000 449982730 59367494 316835972 156115625 1000000000000000000 976919433 607457233 531781857 133267890 1000000000000000000 651035879 585629887 459820567 306898372 1000000000000000000 627908411 97329720 341091710 515112928 1000000000000000000 539195503 101430704 367797036 210704905 1000000000000000000 701161841 75232772 663339723 529828706 1000000000000000000 463720390 132538835 281688843 199217835 1000000000000000000 270266676 142059089 15109500 146415942 1000000000000000000 185745767 136321857 89832304 68604669 1000000000000000000 799884040 379326841 523616144 256324311 1000000000000000000 430704354 165347930 67582175 25342257 1000000000000000000 32969102 7406130 26640796 17461472 1000000000000000000 829876122 788758985 335579874 548832384 1000000000000000000 627152134 278429581 370675913 310370542 1000000000000000000 265178743 996854 173772494 207745463 1000000000000000000 569332933 110906058 390217723 371269273 1000000000000000000 753365670 289002584 292695638 312157475 1000000000000000000 174518758 136140286 109341166 81722362 1000000000000000000 60104683 15510889 6198722 33086617 1000000000000000000 747545942 420900668 451354904 131447137 1000000000000000000 427185139 124502913 25886714 83157447 1000000000000000000 391031538 207264864 185691276 94660625 1000000000000000000 83149629 50202424 82146430 60810027 1000000000000000000 248960856 164973798 159608097 234528651 1000000000000000000 455854194 321071925 135498040 341907698 1000000000000000000 597163136 522160687 355316590 386283348 1000000000000000000 738030999 536025280 666844113 677852487 1000000000000000000 239014686 127817404 35991672 27547147 1000000000000000000 470483589 19268742 231540231 452219541 1000000000000000000 551044230 425374467 89784028 102721637 1000000000000000000 505709708 381890477 170468626 476558801 1000000000000000000 11701348 8006083 2213196 3640839 1000000000000000000 925161530 741770123 392853953 560703132 1000000000000000000 633669573 200432890 423964467 143440006 1000000000000000000 528305659 225065440 35026012 522683437 1000000000000000000 984012364 887090737 301211179 799085566 1000000000000000000 223634767 128948885 54231379 44923712 1000000000000000000 652226115 613365670 138814039 496565420 1000000000000000000 438531581 366990138 30579974 208082886 1000000000000000000 93322379 17482533 86926652 29457729 1000000000000000000 562671980 408078348 180771632 304837894 1000000000000000000 314311194 60057295 171010591 158195260 1000000000000000000 756246321 338690516 660266432 734055916 1000000000000000000 759860196 520224739 340062336 605062721 1000000000000000000 487331781 5407887 232780139 293119956 1000000000000000000 568093111 409424788 483595690 319938566 1000000000000000000 305212309 226647985 199064681 39954624 1000000000000000000 271450754 196925573 9953952 3439792 1000000000000000000 373783075 193965161 325979834 14430796 1000000000000000000 559854772 126522449 555454568 559671798 1000000000000000000 372594315 168318698 49203144 307231282 1000000000000000000 110705147 83568016 86344487 24831562 1000000000000000000 445862847 208715773 72968169 444294819 1000000000000000000 733755531 425237169 99562607 697000496 1000000000000000000 467765573 228973673 46707399 112671696 1000000000000000000 641412488 38432318 608137275 97722933 1000000000000000000 883976750 745206127 217990971 534204182 1000000000000000000 404355141 192318044 69530884 162081553 1000000000000000000 254948748 191651929 88607784 249221871 1000000000000000000 163367331 143449252 124446540 68601658 1000000000000000000 634864222 580736808 504935029 428376890 1000000000000000000 790964053 15597259 380452738 626980516 1000000000000000000 479083544 389798607 213653530 18393626 1000000000000000000 420692889 297440362 113953872 398970976 1000000000000000000 183529542 166670950 126577705 180671985 1000000000000000000 736260544 515960780 90072087 25751244 1000000000000000000 951498409 894440043 836497279 136601834 1000000000000000000 284286519 95646928 109779657 223424097 1000000000000000000 76364415 14752977 63651411 47790170 1000000000000000000 16276410 9176904 1849300 6091251 1000000000000000000 395019319 2690392 128460462 252761736 1000000000000000000 403795119 158332552 46571348 113225551 1000000000000000000 320861266 34368684 21179226 287386165 1000000000000000000 606043275 309863935 95875101 583205363 1000000000000000000 708621054 699498489 496102508 319938636 1000000000000000000 518746016 267842896 255891998 294985904 1000000000000000000 958258197 854936753 509964965 409356841 1000000000000000000 890396515 346291615 402686727 868802936 1000000000000000000 113387037 101053570 20955598 35231312 1000000000000000000 400273503 327629755 100582945 202983340 1000000000000000000 436328814 379358 98820777 61462223 1000000000000000000 417829035 99392381 150751192 70019448 1000000000000000000 843941164 412759253 230916559 413023755 1000000000000000000 721916672 214688790 315364021 321343838 1000000000000000000 292073301 153077670 148094939 56615580 1000000000000000000 556603026 379008385 214483845 2105339 1000000000000000000 323864894 94878152 159495089 296147353 1000000000000000000 932426044 602474995 223617001 650816952 1000000000000000000 716949575 668459440 120109141 433109480 1000000000000000000 630207856 446784379 512838904 355909707 1000000000000000000 960486812 111264913 193049273 810602386 1000000000000000000 727425956 328716432 459006673 490084104 1000000000000000000 171443289 64692477 112933885 160486005 1000000000000000000 442221816 298282143 12306555 107936157 1000000000000000000 862178371 128056241 186658166 742392010 1000000000000000000 729708442 75993134 18174227 339800805 1000000000000000000 83918586 81083409 43625328 83669246 1000000000000000000 355487852 8665021 244364955 277222226 1000000000000000000 330683163 222777499 187516855 326189593 1000000000000000000 98598430 96953771 17099748 52433422 1000000000000000000 436562629 294551986 276270646 235514793 1000000000000000000 153134437 135920596 7023261 142993500 1000000000000000000 54885544 46985446 40227522 52654657 1000000000000000000 194424060 119145980 106556671 149663998 1000000000000000000 279315171 15618374 48278894 187386104 1000000000000000000 893274683 93088606 816653571 789132750 1000000000000000000 771903410 165894020 177224018 585142657 1000000000000000000 266762954 99519781 142296046 24000374 1000000000000000000 160414755 43057765 35165682 3892630 1000000000000000000 617973086 63268990 599364158 142865494 1000000000000000000 670183274 666689741 377067446 3654236 1000000000000000000 594482257 41314286 158614474 368030203 1000000000000000000 837651649 232275179 703677221 610184468 1000000000000000000 612054864 389139191 33891396 31955187 1000000000000000000 130377279 43925293 21425231 113654166 1000000000000000000 953016637 27689270 829436840 442260642 1000000000000000000 85471946 76221612 14621281 70377467 1000000000000000000 151562526 180044 5510936 47113886 1000000000000000000 850186126 402280698 51540292 516989858 1000000000000000000 424926014 82998201 217156036 176083690 1000000000000000000 472533642 61182307 246651755 245046988 1000000000000000000 844954638 128576402 541267655 819042150 1000000000000000000 167677702 28655128 20008015 115850767 1000000000000000000 876401504 41332103 292895545 678735629 1000000000000000000 103235016 7713807 99701140 71675912 1000000000000000000 840246990 254518178 411487393 606926257 1000000000000000000 27223319 7558298 22843623 23870733 1000000000000000000 308163966 194711047 34543228 14910 1000000000000000000 550761796 186813580 322660610 299946701 1000000000000000000 801585152 166804682 177194547 327664549 1000000000000000000 456501071 220611102 90624559 205273501 1000000000000000000 688194193 648740681 393030876 369392698 1000000000000000000 641345199 349504178 275338194 285899644 1000000000000000000 598643728 512656790 189176489 196098733 1000000000000000000 645986562 124819546 75706941 497361326 1000000000000000000 528678851 285294267 331769474 475445539 1000000000000000000 331930111 25657753 186968256 307478463 1000000000000000000 203343268 106443656 134647456 89862745 1000000000000000000 657788845 213024634 638858895 639641288 1000000000000000000 729670625 591808108 678583230 111392609 1000000000000000000 327136058 173662958 241381051 59290715 1000000000000000000 442312820 283840618 65990387 42884324 1000000000000000000 940416432 389850781 692084914 23219342 1000000000000000000 354260689 8036751 80544871 245232362 1000000000000000000 984576279 449901199 678858391 516664571 1000000000000000000 395191064 200820097 278488118 81013868 1000000000000000000 763608453 170517565 757098474 480046235 1000000000000000000 838659845 594895171 196232163 597720460 1000000000000000000 149535539 127226318 131427359 95554963 1000000000000000000 440348367 68143228 101688449 43756790 1000000000000000000 53277850 20912991 16003327 25776169 1000000000000000000 47992742 22356444 41075160 2949150 1000000000000000000 929942370 178766693 50997404 422602443 1000000000000000000 499431773 167389620 451964100 382649639 1000000000000000000 187717325 180063018 159751375 22943287 1000000000000000000 571209459 75406941 56038145 536417812 1000000000000000000 664666493 409071584 420380368 459132759 1000000000000000000 981359927 235636159 707175066 580131067 1000000000000000000 843308316 18572353 651538194 82667743 1000000000000000000 436566006 74808737 81509721 199848016 1000000000000000000 62306865 7408037 45300743 40714748 1000000000000000000 604898130 160747526 419986115 300251791 1000000000000000000 821886208 67921257 334677638 75430608 1000000000000000000 370318880 199366249 6602428 138915097 1000000000000000000 635026247 353157736 432154221 295420895 1000000000000000000 199093857 182069768 27194484 189614414 1000000000000000000 468694163 63142776 425151112 400632684 1000000000000000000 306316068 305715969 125585110 207834295 1000000000000000000 302876410 31459271 73156051 240800603 1000000000000000000 630747383 133388307 462824066 540169693 1000000000000000000 672759194 114368439 414420669 624172739 1000000000000000000 9410583 5767298 4403700 8912730 1000000000000000000 835957462 176738105 379289498 228940925 1000000000000000000 409893558 170574643 40632077 229333280 1000000000000000000 706744533 140123712 476419462 217539077 1000000000000000000 195045418 61245969 87290133 51208355 1000000000000000000 965477820 959798743 792223917 31005891 1000000000000000000 795433832 216743432 389168292 671414912 1000000000000000000 560879635 369858321 203874938 530243656 1000000000000000000 654355638 543127286 627963708 331164480 1000000000000000000 172105222 55554549 153471172 11168002 1000000000000000000 587908817 113126895 131235669 254708994 1000000000000000000 591202984 485988622 338201320 38383287 1000000000000000000 265337821 78006268 48601974 82746278 1000000000000000000 418859558 16601485 119524686 129633445 1000000000000000000 653684663 167142802 107317131 485494431 1000000000000000000 579487318 459424195 21947092 565201583 1000000000000000000 64111010 33802773 27748343 58721387 1000000000000000000 260380067 151270970 144513443 48994046 1000000000000000000 965540140 772295514 537498176 423570673 1000000000000000000 918479056 153334951 623678258 349949128 1000000000000000000 384659555 151155439 216354230 229025336 1000000000000000000 517893833 431706325 227936602 152386154 1000000000000000000 654556086 500836707 20657771 321396782 1000000000000000000 534788334 44850507 294718169 450493848 1000000000000000000 388039667 44825651 229603795 368812101 1000000000000000000 27939959 20643880 3181276 7076428 1000000000000000000 736403272 564924545 79701610 519988235 1000000000000000000 878271495 403029479 633287137 116056091 1000000000000000000 677691973 526599197 276162154 556810303 1000000000000000000 518908777 38608700 341627958 404917566 1000000000000000000 360719380 115277903 332213758 85861524 1000000000000000000 147474195 143917860 70167750 123181838 1000000000000000000 60644836 25258288 19885423 31021074 1000000000000000000 458137401 220957700 64117457 2309548 1000000000000000000 328834 167243 297356 156922 1000000000000000000 911782492 394667113 393675198 519834377 1000000000000000000 554299395 121176737 14048442 466101760 1000000000000000000 609103523 307001557 508413138 275194785 1000000000000000000 524992151 193343158 69925408 25201095 1000000000000000000 117435534 27606319 117097138 1816887 1000000000000000000 982941004 65445282 611884562 272194577 1000000000000000000 122991303 38595226 5993444 41545897 1000000000000000000 80573931 381925 51551048 75659372 1000000000000000000 302949652 185526715 1552556 180470588 1000000000000000000 876108763 209359009 532565449 750226459 1000000000000000000 127783424 99990805 29647450 122599945 1000000000000000000 699624651 568964085 111999344 55119050 1000000000000000000 513540811 191249591 378463719 14496597 1000000000000000000 972613547 732930334 283679267 930722649 1000000000000000000 211463646 93684613 95595751 126884995 1000000000000000000 28494529 16701156 21458905 21014720 1000000000000000000 496313628 464282817 327537246 31710234 1000000000000000000 682821857 436894985 234271231 138798519 1000000000000000000 997562147 969312594 134993787 477254508 1000000000000000000 645487583 100006626 64909981 503656394 1000000000000000000 368499883 199590617 208843500 230149802 1000000000000000000 901751107 366484272 121185875 701832966 1000000000000000000 977095115 964726712 422532841 791141991 1000000000000000000 72740274 15754012 25030695 68459170 1000000000000000000 634414733 426232156 357660928 563549392 1000000000000000000 961367300 431235167 378721738 944859239 1000000000000000000 707644963 466052621 435448505 305166777 1000000000000000000 428832670 205167119 125416651 281593491 1000000000000000000 699035909 318661170 107892422 521213146 1000000000000000000 997397883 304698535 683663590 200682486 1000000000000000000 694822293 81417795 155371782 568542045 1000000000000000000 499483030 470262965 386183850 69211218 1000000000000000000 126989251 92756118 12220138 90106923 1000000000000000000 299051286 105921502 235229139 35129007 1000000000000000000 545096519 371376770 114750684 120802174 1000000000000000000 546448899 130801840 365635145 403036082 1000000000000000000 296435892 55521949 281978014 78120277 1000000000000000000 769154947 318029501 282453810 500815217 1000000000000000000 488416818 313488472 33493222 33451156 1000000000000000000 919301496 479650981 167206252 609386296 1000000000000000000 642070065 334053273 239554161 305928614 1000000000000000000 214084330 7545009 117038181 166947221 1000000000000000000 801631941 705976674 540023194 407643220 1000000000000000000 831618152 44841422 133784399 765052354 1000000000000000000 720708079 534665562 353409230 457128970 1000000000000000000 404765504 386869963 29724498 347026296 1000000000000000000 714253094 707745122 613638940 339274398 1000000000000000000 767606205 324206241 352053975 535094136 1000000000000000000 516446253 16650143 12732448 385526933 1000000000000000000 538077186 358036328 47832119 147540593 1000000000000000000 351985262 140990747 102981763 274750708 1000000000000000000 475109093 338431114 72664155 408381445 1000000000000000000 886950809 750968028 366295224 709036065 1000000000000000000 823750041 595119768 243379501 332306126 1000000000000000000 541666136 323634251 267871369 297491844 1000000000000000000 669737124 220162359 166619291 529601805 1000000000000000000 887876318 526422684 298859286 428605782 1000000000000000000 997896277 834468967 13543108 527103536 1000000000000000000 435452020 273931259 242366956 12937070 1000000000000000000 154640616 34311319 48810216 83647235 1000000000000000000 300641851 171959207 227867983 66255787 1000000000000000000 430923645 216660309 62208184 271188488 1000000000000000000 482079245 414894039 104558230 132534584 1000000000000000000 999471383 695467557 210227462 966836785 1000000000000000000 97157397 58477059 85875891 35905001 1000000000000000000 99010623 7731502 56477729 25817373 1000000000000000000 987176366 501354853 338506019 495249694 1000000000000000000 929841892 695116793 544624394 6185054 1000000000000000000 149105618 86549243 22620811 93868338 1000000000000000000 872622836 805524190 119571776 713723993 1000000000000000000 511410472 317247462 423367118 30705240 1000000000000000000 450004581 63323502 427412289 179763497 1000000000000000000 164893787 5068911 48218272 64194810 1000000000000000000 202248890 199686592 78080345 23235795 1000000000000000000 712219961 82340066 528319494 106718363 1000000000000000000 87684265 63943703 30243778 81657062 1000000000000000000 424145426 30252889 352856319 17636422 1000000000000000000 441420223 398495894 397427172 287944109 1000000000000000000 821006102 752974272 97474911 782164764 1000000000000000000 948688548 602539249 806722896 847096097 1000000000000000000 7008576 6417864 985339 1744013 1000000000000000000 164312376 149371011 21234726 139879592 1000000000000000000 673059778 416160416 371210912 617009043 1000000000000000000 44129668 23828389 22205611 38099289 1000000000000000000 65644056 11907826 34035841 10762496 1000000000000000000 296252100 122413153 19949169 222603372 1000000000000000000 935060752 49188894 842538944 377448712 1000000000000000000 930604341 13192605 98291556 630951480 1000000000000000000 488809020 313593291 477179977 36341305 1000000000000000000 464120060 308476764 230884877 457908691 1000000000000000000 923329727 259038445 844873294 316862960 1000000000000000000 731611131 438502329 523192852 357575235 1000000000000000000 995112409 695780041 556618127 12101224 1000000000000000000 704149012 314625755 685296762 128538283 1000000000000000000 407715495 307202240 303699598 193956107 1000000000000000000 357462368 196195400 188285373 251509274 1000000000000000000 883332125 419693064 421582779 220907935 1000000000000000000 246698605 223810831 3012236 244150361 1000000000000000000 913008259 633204979 71824750 386372228 1000000000000000000 392271489 94251772 40343433 130663854 1000000000000000000 934060912 741168686 433635759 497559030 1000000000000000000 629970149 468101222 608499564 370459548 1000000000000000000 324528852 86225940 142839220 306883817 1000000000000000000 431502644 358658684 93423685 180990706 1000000000000000000 669199317 538224628 484053116 515331308 1000000000000000000 81398616 45902874 55765145 10662639 1000000000000000000 37323750 31824668 30852144 34913133 1000000000000000000 603264460 50586585 415837637 446720777 1000000000000000000 587155500 552934433 13295545 350108759 1000000000000000000 474102891 71483592 112557978 242359319 1000000000000000000 404653954 108577571 130126427 9302066 1000000000000000000 998445820 852309427 18926258 660174801 1000000000000000000 438418683 101583534 249223098 250371978 1000000000000000000 783978834 535498291 441159042 241324826 1000000000000000000 196431457 125470140 158497924 82854864 1000000000000000000 787663810 30253984 243374597 110002732 1000000000000000000 334555172 65407279 16893763 262949364 1000000000000000000 135227346 10328811 97812625 1953350 1000000000000000000 351000187 148752404 296040892 265729552 1000000000000000000 766491807 418199484 315783718 295453132 1000000000000000000 379207214 230826488 18568050 68298779 1000000000000000000 679920772 164701902 41611333 66905084 1000000000000000000 129305821 45275139 71796069 56718779 1000000000000000000 240503435 136977283 93092961 116568814 1000000000000000000 771298029 235869733 577948929 182562084 1000000000000000000 633656803 253269446 207300679 544477206 1000000000000000000 728902530 577076356 47243590 392517837 1000000000000000000 531842607 13105275 117367925 184155042 1000000000000000000 507320196 356954625 24495926 161791103 1000000000000000000 956662762 556535269 489418779 291521979 1000000000000000000 999431918 703753721 348267336 59340746 1000000000000000000 131408139 101670277 52747948 89828765 1000000000000000000 236654738 83675252 65387568 6127090 1000000000000000000 394430081 44727597 317765640 155292166 1000000000000000000 559117157 503500894 30557753 127080935 1000000000000000000 238964227 214886987 154785961 89205732 1000000000000000000 658853858 276717767 300591132 261946430 1000000000000000000 349617744 333578447 195813662 242320949 1000000000000000000 874057733 312756641 70020189 545741649 1000000000000000000 906189886 825928073 253502894 183535097 1000000000000000000 526695389 261605109 519285235 66976202 1000000000000000000 144486791 12609139 27270441 26658582 1000000000000000000 231000004 27143122 17264400 110131481 1000000000000000000 78373653 34421711 4530860 50187433 1000000000000000000 152772637 52307814 30295329 123641030 1000000000000000000 728111878 611372476 356371649 67981385 1000000000000000000 108249271 16632532 23351812 20694096 1000000000000000000 282790199 21679897 218943912 156340275 1000000000000000000 871397608 753042519 545106570 311513668 1000000000000000000 247893045 80845920 58427067 127729832 1000000000000000000 902995413 693318853 133376464 315649723 1000000000000000000 531717660 325496557 242475655 527572936 1000000000000000000 499680261 204501013 409522967 346493705 1000000000000000000 270354589 59299944 106341878 80594630 1000000000000000000 730811865 542698817 141381749 514049328 1000000000000000000 405795099 88745588 103741526 6437017 1000000000000000000 19589575 8460641 694084 10247432 1000000000000000000 435785268 218463153 344960266 273018348 1000000000000000000 235206508 167422873 212093361 69266043 1000000000000000000 425921170 34084406 335085661 255147434 1000000000000000000 754196620 497610105 400574100 545330779 1000000000000000000 638572777 459760017 306431184 467010797 1000000000000000000 862854533 43287481 36860333 321592658 1000000000000000000 812115633 683290087 513893060 370448822 1000000000000000000 734533247 319705058 336716627 623743986 1000000000000000000 816366732 508344356 403760270 523194392 1000000000000000000 169687363 11984629 84795511 73975092 1000000000000000000 453841557 437429636 124278230 187099697 1000000000000000000 215338457 122277186 211449891 114990551 1000000000000000000 961473905 37981086 390667578 719133039 1000000000000000000 754908614 242951470 444655842 51145894 1000000000000000000 778009770 196124503 15241879 356793786 1000000000000000000 41851469 6208277 5599746 13599340 1000000000000000000 307443064 230978183 282739027 86092707 1000000000000000000 314210716 214942068 214228555 223046599 1000000000000000000 403299841 133603947 150859950 36591745 1000000000000000000 422666193 63446200 292187935 205540875 1000000000000000000 879099012 485950148 638785682 307603982 1000000000000000000 66081533 63556915 44020504 17366450 1000000000000000000 207354072 17747072 122064299 57443465 1000000000000000000 91537976 49705067 37934332 4206908 1000000000000000000 980777326 191490825 295844899 832934555 1000000000000000000 979838196 654179633 372356624 774683750 1000000000000000000 190260747 153926416 144649416 143145710 1000000000000000000 624662077 361208409 21950136 337269873 1000000000000000000 835436201 604927970 285150958 661103290 1000000000000000000 40586035 27984687 9283162 25341025 1000000000000000000 876205242 210756068 473521236 241734672 1000000000000000000 900786124 55691159 771614634 773647614 1000000000000000000 450986915 157872610 307657210 427457965 1000000000000000000 704098626 78831331 40189382 301896598 1000000000000000000 213897733 103976224 78380733 63363109 1000000000000000000 996682822 641637134 612472437 512207380 1000000000000000000 817370614 24867458 16824207 579185039 1000000000000000000 799531697 791592049 471337262 184607346 1000000000000000000 898368647 383735330 317423362 841591715 1000000000000000000 842144752 217852725 372741137 217786632 1000000000000000000 935867076 698334774 330745281 502636299 1000000000000000000 922131472 456129596 262147997 86229085 1000000000000000000 757901835 153402579 331530534 723733034 1000000000000000000 661583102 138095761 379263248 50503661 1000000000000000000 538888195 244042160 290915919 480339435 1000000000000000000 606537762 602564612 64250465 338918246 1000000000000000000 332139278 182824028 3407938 270576668 1000000000000000000 387085903 269428323 95209428 239130612 1000000000000000000 183089048 165626466 19721163 153741160 1000000000000000000 313504311 140960278 238153289 24283473 1000000000000000000 922843556 827184626 772084702 228506248 1000000000000000000 415946577 145754702 15659072 190986190 1000000000000000000 366583242 187543967 155284948 119824747 1000000000000000000 424230077 196207123 97686498 38305155 1000000000000000000 597984285 108023113 543838496 397245307 1000000000000000000 550522065 513544257 130949677 16487263 1000000000000000000 656557428 255469061 514554506 260946799 1000000000000000000 456471160 300411213 187472696 378012741 1000000000000000000 34170078 435808 23429552 30576770 1000000000000000000 527201566 437643070 230068895 30347137 1000000000000000000 161008888 154882162 97208756 111662004 1000000000000000000 856326770 589345326 584934062 824752760 1000000000000000000 920597847 528634732 751806710 181991333 1000000000000000000 369668465 294244741 136891195 172178982 1000000000000000000 179076750 25575719 31062721 100195749 1000000000000000000 29429978 3677116 2194461 5925284 1000000000000000000 587204898 136167045 303804296 451214026 1000000000000000000 730506876 502224600 159580785 554284554 1000000000000000000 562662052 115323405 518101001 193515378 1000000000000000000 810842906 1994561 264598696 485300468 1000000000000000000 924646551 279683500 476694077 467812080 1000000000000000000 964509412 805043243 636957278 813737786 1000000000000000000 113722485 67976798 110174013 86150970 1000000000000000000 200475567 45385315 108730331 180599217 1000000000000000000 273639513 130040109 120711200 86949191 1000000000000000000 948458629 779957915 95306759 25911563 1000000000000000000 21593510 2765666 17164932 6930502 1000000000000000000 196796853 176452535 88081869 100692206 1000000000000000000 544972386 218882706 517775 211460303 1000000000000000000 888924743 57365385 740780738 132810153 1000000000000000000 265263676 260601937 209478127 66649508 1000000000000000000 112888626 4600186 109066693 32362796 1000000000000000000 952547548 517016332 929157636 851148164 1000000000000000000 562878257 197198161 279935639 43125272 1000000000000000000 780035154 149803329 38112235 645359300 1000000000000000000 737022270 643618836 475238121 280333237 1000000000000000000 850093313 526369081 302319261 377489121 1000000000000000000 649107548 25519716 594893906 218171960 1000000000000000000 169943665 96494264 22901039 97508635 1000000000000000000 856232872 519632212 248571636 685242548 1000000000000000000 195351567 16033127 85447615 156951012 1000000000000000000 72189236 53306729 11486282 46547418 1000000000000000000 12121807 10088611 922862 646401 1000000000000000000 435417285 369615640 103569588 149935061 1000000000000000000 796849546 425304546 780333492 575427479 1000000000000000000 819508049 438954381 309957283 433184332 1000000000000000000 50738082 5385352 8932391 24487336 1000000000000000000 485397979 247197092 205265540 151617623 1000000000000000000 139298092 66030181 18558854 118338832 1000000000000000000 347387323 213543642 233517472 212076942 1000000000000000000 475339929 475177394 444622148 121132139 1000000000000000000 11654954 6150822 7550073 8528053 1000000000000000000 187589356 27177501 16480898 95235192 1000000000000000000 935105490 654304312 456073722 301706848 1000000000000000000 486939106 113222853 238407366 381705045 1000000000000000000 219451881 27458112 26743833 145035991 1000000000000000000 776848367 51350914 419422776 468524447 1000000000000000000 272532174 6335164 224966226 106886940 1000000000000000000 684758663 94635148 530985446 350203586 1000000000000000000 23877141 290279 3406421 1992554 1000000000000000000 314703609 170570736 30695457 77435033 1000000000000000000 203974988 98844370 162529805 69293971 1000000000000000000 942462943 316453629 754067536 178476022 1000000000000000000 319571108 89189008 207239536 292250246 1000000000000000000 759565384 385117275 534734485 680338444 1000000000000000000 321699380 102636616 22454583 149125411 1000000000000000000 186377036 51601256 28480114 160079732 1000000000000000000 231945508 143968077 77204117 115842102 1000000000000000000 653106143 53461822 350034556 133489009 1000000000000000000 398820413 113999445 217032355 136913726 1000000000000000000 964105943 581391248 330856524 238351723 1000000000000000000 876021345 577999302 325151710 424213942 1000000000000000000 981732944 917310006 269337237 288370427 1000000000000000000 81932976 45134872 2877648 78712216 1000000000000000000 44685403 8029132 36680732 21521380 1000000000000000000 930266459 475140833 850690419 816241609 1000000000000000000 890521214 791165037 711203743 344628221 1000000000000000000 902197801 16734692 415829709 443590907 1000000000000000000 499721009 314174316 484717350 36125814 1000000000000000000 974366687 512709046 203375781 973408646 1000000000000000000 916094560 97297805 168853877 790520002 1000000000000000000 260328009 92712283 210432163 21421883 1000000000000000000 54749922 338874 10398707 12928147 1000000000000000000 100911059 87834864 62438078 54654886 1000000000000000000 427456918 77018690 13118402 314624273 1000000000000000000 66196354 29203184 50069983 35719608 1000000000000000000 181309947 79954351 38489358 58340716 1000000000000000000 419485445 82498263 269869984 412816594 1000000000000000000 696621506 443254955 615870401 373141169 1000000000000000000 633933556 407059427 418436408 615511661 1000000000000000000 181888014 3782283 101384389 180366284 1000000000000000000 390209941 382024227 277013879 46101290 1000000000000000000 793245542 230917346 148575641 520385294 1000000000000000000 481169664 187218765 414459686 251361070 1000000000000000000 503789282 429315169 349551994 199200244 1000000000000000000 609253113 544922550 135885543 467899404 1000000000000000000 881202245 771773331 287721646 868877211 1000000000000000000 87097170 34480752 48824639 43130556 1000000000000000000 835015570 136479514 61833147 495502045 1000000000000000000 889497073 171614930 530260340 30586996 1000000000000000000 156952729 21153938 72575730 6791123 1000000000000000000 734546384 549762741 92757167 145374197 1000000000000000000 542460503 73388526 289399757 282243272 1000000000000000000 722458943 340862229 202401448 380216073 1000000000000000000 499901242 168734210 407484615 200450944 1000000000000000000 843697436 130491907 376261061 153065427 1000000000000000000 557651092 247555945 372967035 515771781 1000000000000000000 718524379 450636693 58716614 119862891 1000000000000000000 183745096 104715373 59039648 182966390 1000000000000000000 243481550 196960962 229874721 24126153 1000000000000000000 613300750 602372000 191048657 213939451 1000000000000000000 91637902 14276286 73397594 32819853 1000000000000000000 926058109 669474430 635545348 95148991 1000000000000000000 198585383 36120372 10669397 22899866 1000000000000000000 917212002 160934502 448814154 337101060 1000000000000000000 422154614 280153630 230589366 101675499 1000000000000000000 732356973 457990318 692763457 585786695 1000000000000000000 430421016 78941055 189687556 73437096 1000000000000000000 593005415 168370483 182277032 392484225 1000000000000000000 444822601 8285295 91171216 341361378 1000000000000000000 529664133 77698567 123057033 371414169 1000000000000000000 983521600 62289880 544827779 22503410 1000000000000000000 755691525 113444438 465872269 647777589 1000000000000000000 595712591 579145054 591566994 567507799 1000000000000000000 188735549 14223315 186749513 74811092 1000000000000000000 941505689 489154889 543491198 488624725 1000000000000000000 193525927 39212532 190726105 55371820 1000000000000000000 380835608 142635614 131562850 164406835 1000000000000000000 529030944 407056715 74864484 208504920 1000000000000000000 4389348 237927 3402144 1775502 1000000000000000000 771349933 723658472 412903589 411992158 1000000000000000000 949021512 338698651 597227659 356221704 1000000000000000000 649279830 518790094 280345669 66576203 1000000000000000000 948169810 751077211 320707520 347029125 1000000000000000000 956883173 567542800 114895702 379237690 1000000000000000000 521957782 414996221 373095423 301147948 1000000000000000000 930743956 510281745 429409302 438038085 1000000000000000000 500443301 82038121 294077371 232103292 1000000000000000000 625733478 247199670 218992401 91071879 1000000000000000000 307310367 96742791 19720046 59089878 1000000000000000000 81304975 35630236 18453555 25970943 1000000000000000000 432757291 18520605 379821214 208512418 1000000000000000000 464195195 416751927 107128628 366422275 1000000000000000000 748088643 578859233 503373718 550070684 1000000000000000000 651985851 132743250 644283154 241870051 1000000000000000000 105947155 57558712 31515791 75786305 1000000000000000000 421203277 246630293 357916566 347322081 1000000000000000000 920629554 590994473 720449429 645238821 1000000000000000000 813886306 186412913 679327922 657035404 1000000000000000000 464105495 105724010 228462180 251803479 1000000000000000000 907787450 2262287 291048123 449568134 1000000000000000000 46057020 10702157 29962495 18423639 1000000000000000000 679750469 10262967 260019489 410776062 1000000000000000000 821948119 5546947 522200741 360174639 1000000000000000000 906167227 833369301 508498348 261236812 1000000000000000000 399248192 168042295 357058726 215784591 1000000000000000000 479063180 231260667 142334433 417721153 1000000000000000000 20962831 15890012 5771503 10767422 1000000000000000000 35515072 7685661 2864568 30012203 1000000000000000000 64763222 27021020 26710700 3789559 1000000000000000000 419219466 44265625 349147674 75805310 1000000000000000000 680506205 641496611 392663641 347880313 1000000000000000000 398885538 165164891 118223476 310734849 1000000000000000000 775988419 528261819 343007676 644721386 1000000000000000000 89109242 2742216 85650285 51314913 1000000000000000000 508704466 476728618 406454588 382996011 1000000000000000000 987578574 366481709 218722308 887822981 1000000000000000000 381243468 343545959 199066799 330479410 1000000000000000000 691694139 54980612 139535322 218701905 1000000000000000000 683661504 23749773 267836339 578221008 1000000000000000000 496098998 362855534 215008745 469511001 1000000000000000000 157591138 116925401 137039510 4856529 1000000000000000000 953423796 625822369 253356438 254149257 1000000000000000000 382815591 281695387 49768525 316264960 1000000000000000000 229910366 121557282 120788464 50539449 1000000000000000000 35746930 346733 212509 32137352 1000000000000000000 812317273 396643405 518149342 308990489 1000000000000000000 923912845 753745145 786327126 747400992 1000000000000000000 884177423 224006495 701011756 473588585 1000000000000000000 541671026 133643014 4260429 134644036 1000000000000000000 670965838 534327156 206834316 529994762 1000000000000000000 479049557 447049517 321473992 319178264 1000000000000000000 835565084 205937199 628056877 733566834 1000000000000000000 62505585 9530922 36541952 26926205 1000000000000000000 184627937 48275959 6426224 99061032 1000000000000000000 678741785 237854244 526447252 407212609 1000000000000000000 667944398 451471831 312017116 190576125 1000000000000000000 184050712 65927519 98443783 124192807 1000000000000000000 674769263 364029273 338001430 383798631 1000000000000000000 661223633 501727861 590253138 8832415 1000000000000000000 286122899 118038641 286104377 197528133 1000000000000000000 749909092 630995059 601960667 674995555 1000000000000000000 63250910 32641014 20281611 30022468 1000000000000000000 225188220 127999099 193601232 215834617 1000000000000000000 934744402 447352078 327386471 123321919 1000000000000000000 445977654 427695309 79117386 260872107 1000000000000000000 366556859 259679942 172902243 316153622 1000000000000000000 574080297 404848010 257149857 146560687 1000000000000000000 216980603 109375809 155471720 68705407 1000000000000000000 110011913 8471962 47524999 67953448 1000000000000000000 94616113 72283857 5392057 87777369 1000000000000000000 331802024 300039148 140974052 116313835 1000000000000000000 367299113 170776483 40553440 324549807 1000000000000000000 209344307 63576392 71961622 157285157 1000000000000000000 109010160 108710278 48752607 26785705 1000000000000000000 759231112 208164860 41724288 514667466 1000000000000000000 151542805 89509185 41981563 103225323 1000000000000000000 559709318 302288542 67054288 80048536 1000000000000000000 871218975 619897337 521225005 736441942 1000000000000000000 910234582 252568990 792022231 450939817 1000000000000000000 191825427 43999561 33681171 22150603 1000000000000000000 693643125 478872071 262842066 10008701 1000000000000000000 667988486 95610207 364074866 281985989 1000000000000000000 113789725 40458649 102400356 14805152 1000000000000000000 170806180 123009517 8752412 141661749 1000000000000000000 674276071 32518088 655239952 360713579 1000000000000000000 952162736 171273412 944651121 61145787 1000000000000000000 25665545 11003694 13672864 1213388 1000000000000000000 549759826 276994990 125538912 247028659 1000000000000000000 805676634 18361107 45120089 510034733 1000000000000000000 280505646 215133993 227223753 56716246 1000000000000000000 235772937 17209617 95864900 188369521 1000000000000000000 686307249 84704024 314209223 528950968 1000000000000000000 916428423 604656037 752045647 296661149 1000000000000000000 826745205 630332537 347767189 822423388 1000000000000000000 264362802 172992009 44486948 38268067 1000000000000000000 682760974 173771372 20722262 54646334 1000000000000000000 414463818 355012760 116025725 46306952 1000000000000000000 642177601 185199130 234906495 58045065 1000000000000000000 700423484 168836323 312568597 441212461 1000000000000000000 485262811 282370367 36442624 273999599 1000000000000000000 244502827 90534839 24397300 139963201 1000000000000000000 236656742 145323429 29935329 232520024 1000000000000000000 498729938 42664303 195551029 108234443 1000000000000000000 20402518 10759571 8153370 7221320 1000000000000000000 826984019 749647691 771539549 326346641 1000000000000000000 408099057 26020375 157097140 22974040 1000000000000000000 683693305 42728667 108217087 63767401 1000000000000000000 533779581 126632869 265899966 431776645 1000000000000000000 457467036 112913650 53686181 209257586 1000000000000000000 610895156 470629831 15740811 470678304 1000000000000000000 265801941 261975722 84498061 16533810 1000000000000000000 110666994 4194320 33558469 73945163 1000000000000000000 863149013 218627460 483456843 545566839 1000000000000000000 443294554 79110174 62284886 142501361 1000000000000000000 214253818 15840402 191296372 183583549 1000000000000000000 273323301 15087400 94051106 68379398 1000000000000000000 814034558 225205424 403169064 247335825 1000000000000000000 428422297 84100222 252245610 76568874 1000000000000000000 814622210 587806260 94618715 528743982 1000000000000000000 198292901 90688121 2342067 179064648 1000000000000000000 513857113 336956048 266777124 246333963 1000000000000000000 326036065 60062791 37964792 107752880 1000000000000000000 701946217 289750153 546567669 543469365 1000000000000000000 992730504 749537474 188445325 108654405 1000000000000000000 444887873 381809521 39446501 299293795 1000000000000000000 755539294 667491522 534028876 221254148 1000000000000000000 926767545 509597425 33641010 43579916 1000000000000000000 363697661 286441379 127597508 312696320 1000000000000000000 690736070 327961012 677781551 151085091 1000000000000000000 597555087 360989212 517560305 449675879 1000000000000000000 657939881 274617124 583566668 224317332 1000000000000000000 278532320 184707401 243477200 188804980 1000000000000000000 121400210 100693018 12443127 119377078 1000000000000000000 621180906 509494812 620936944 420134983 1000000000000000000 172154208 35197462 47412410 162925660 1000000000000000000 602175694 80778106 509181622 387552634 1000000000000000000 33804522 30324899 33586693 15197420 1000000000000000000 625837642 88351052 475012293 477413063 1000000000000000000 583660070 489882529 360095755 227377976 1000000000000000000 924767484 467147775 777564721 358835695 1000000000000000000 793892615 249411991 539230106 135308540 1000000000000000000 12242145 7098522 5314327 10930165 1000000000000000000 833725272 70545975 748094962 614520718 1000000000000000000 813214051 305655070 198202845 354784420 1000000000000000000 277163988 228231630 57799495 188142393 1000000000000000000 525859837 160643674 109771818 251058806 1000000000000000000 953106410 110059105 660038035 2717957 1000000000000000000 606813971 25942535 166347700 72644974 1000000000000000000 778811509 99350484 91081703 481469138 1000000000000000000 62315038 9531201 4098802 32925407 1000000000000000000 506109975 458944182 255866450 150017156 1000000000000000000 402412977 380588339 339246780 163303604 1000000000000000000 776876126 573616342 301773726 148588343 1000000000000000000 40267980 6530718 27162721 9428995 1000000000000000000 407683633 354733406 38255827 14291097 1000000000000000000 626515910 438572405 60007083 4724266 1000000000000000000 607136161 575417504 27354561 105548537 1000000000000000000 81524501 34038855 71837415 6360336 1000000000000000000 230442131 83722724 48873806 227983674 1000000000000000000 259865800 249964851 210412181 247341318 1000000000000000000 312734637 222703262 263575034 309431292 1000000000000000000 778893925 286014883 9248165 465072674 1000000000000000000 651981819 76116768 523351975 145902898 1000000000000000000 262488052 156568713 252152821 215527722 1000000000000000000 628310022 367734602 206385385 219541847 1000000000000000000 825853957 404469215 300591695 194979287 1000000000000000000 21560005 673436 15958649 10557161 1000000000000000000 685606649 504066954 337962379 11809967 1000000000000000000 880847942 211895965 637861602 233984544 1000000000000000000 309566275 110171421 130763756 308053947 1000000000000000000 398980467 61837598 304717162 372278973 1000000000000000000 797572239 130436948 220443292 695360447 1000000000000000000 949433808 875880924 233934363 479935455 1000000000000000000 995129334 809301033 464256922 403669180 1000000000000000000 538923972 254115439 312195356 219691526 1000000000000000000 122611051 17417370 69767197 7613671 1000000000000000000 373624622 159509541 95824060 103067470 1000000000000000000 345492365 229512754 323113649 20263305 1000000000000000000 83518527 51658164 47605435 42377299 1000000000000000000 784305643 642332709 189470110 305428498 1000000000000000000 303902262 269555831 274828234 156101056 1000000000000000000 509033066 132044270 15594677 84347190 1000000000000000000 650027629 549370382 269470026 443066099 1000000000000000000 522570903 30073387 4246217 277918414 1000000000000000000 79829800 45596224 66282440 19041686 1000000000000000000 942777173 426935768 674467890 387654672 1000000000000000000 150351754 81806333 41827596 128894197 1000000000000000000 766474191 228127828 265394386 552236551 1000000000000000000 309877027 60384989 218295805 276818643 1000000000000000000 578137564 274018093 509299029 363243092 1000000000000000000 539940715 55938209 48389854 213111542 1000000000000000000 914208980 382332740 247633244 454002057 1000000000000000000 674720984 340857590 664956975 368311657 1000000000000000000 893689023 372807368 95256448 181375762 1000000000000000000 654965656 248928740 251833577 296098677 1000000000000000000 315123605 107167981 139202454 19277302 1000000000000000000 158315214 14473037 26743859 114205852 1000000000000000000 508591090 439908700 472045847 316812193 1000000000000000000 457030433 424053226 303342389 323739095 1000000000000000000 836266025 621927236 476214782 335442159 1000000000000000000 631020867 578370086 121907903 515470787 1000000000000000000 724244155 270623755 358359049 396251073 1000000000000000000 434093734 319385266 166997778 319821328 1000000000000000000 122488982 13432575 90059659 89341320 1000000000000000000 702508812 7992512 540226552 203052595 1000000000000000000 74806904 47174039 35575945 54276089 1000000000000000000 893963844 873078423 374510730 255140342 1000000000000000000 111698955 108210731 38685809 23311181 1000000000000000000 686330669 629575901 164360587 676521660 1000000000000000000 816817620 593148618 667288332 603604716 1000000000000000000 312282793 67657949 127529771 264868773 1000000000000000000 763103662 199815581 433676357 519036618 1000000000000000000 74653775 56201544 50842580 20082435 1000000000000000000 487133216 134804338 452708171 464352575 1000000000000000000 92297264 86795058 38621860 63896814 1000000000000000000 254653446 84951858 210760801 207552314 1000000000000000000 384384145 196205199 115850730 223686545 1000000000000000000 691759416 504829458 386027247 529240122 1000000000000000000 957378757 488852472 41996144 473630185 1000000000000000000 117205349 32251900 100490529 32067584 1000000000000000000 538504857 461698506 303692820 97067885 1000000000000000000 855327943 519745083 259080413 503227710 1000000000000000000 247791137 64820338 54048304 40911024 1000000000000000000 895859482 251940342 470850111 402312835 1000000000000000000 531525191 244073833 520202228 506192408 1000000000000000000 791399460 330712125 699519763 774191130 1000000000000000000 840010668 608572780 379531844 18063721 1000000000000000000 378926279 208633166 369807443 4559584 1000000000000000000 614223087 506717194 54469628 129673807 1000000000000000000 221738767 56432251 140643707 4064142 1000000000000000000 648572656 526620146 239746470 592084827 1000000000000000000 866076786 401574977 515274585 563872328 1000000000000000000 123714756 36826557 46252574 35075832 1000000000000000000 473384799 355318379 367864008 84434516 1000000000000000000 644501859 198615993 641753997 156790996 1000000000000000000 872879635 485144478 314926173 808732861 1000000000000000000 8439454 1802923 1365882 498474 1000000000000000000 627350237 277525895 470742543 32300076 1000000000000000000 510843856 364295011 290142324 490856077 1000000000000000000 462753641 444776311 195048141 313814195 1000000000000000000 784421318 139165007 492642185 577618823 1000000000000000000 727472465 535138924 129599825 244787295 1000000000000000000 889748038 632301390 60146203 54434359 1000000000000000000 981760851 359898682 718931098 875531187 1000000000000000000 21431928 7854880 16638156 14436637 1000000000000000000 843308152 636072635 595987104 751304918 1000000000000000000 76585614 41638497 60503582 67819174 1000000000000000000 829178620 472418666 807970259 111130432 1000000000000000000 493395480 67449916 405800829 93272802 1000000000000000000 374750396 66971622 116878634 247218087 1000000000000000000 641784141 202641819 454239846 21323415 1000000000000000000 459537655 144701765 394428802 412397140 1000000000000000000 286384209 183923500 248401770 188810237 1000000000000000000 925918926 759914579 582478018 411121512 1000000000000000000 303905775 166173532 48858004 75289126 1000000000000000000 58155331 1481957 24262918 36814515 1000000000000000000 252315632 44853460 233273078 30862430 1000000000000000000 422250877 73626537 253444922 291446110 1000000000000000000 164924273 15796854 34011230 84264221 1000000000000000000 452382345 385502155 3047889 174273825 1000000000000000000 625384741 184232433 330151521 574792191 1000000000000000000 791139252 119424887 787530426 487233085 1000000000000000000 272348211 14941018 69312968 14692422 1000000000000000000 915709439 446155440 209421363 89478485 1000000000000000000 501710130 92462908 407252415 417521702 1000000000000000000 546203019 382433829 346148863 341385381 1000000000000000000 682214557 279600866 207905997 555339946 1000000000000000000 187417995 59071500 112796665 88394890 1000000000000000000 183567756 119069090 89129337 92943184 1000000000000000000 522494154 297919984 31351616 190766491 1000000000000000000 548011777 419419224 418802847 126492816 1000000000000000000 203519470 8134098 84033540 65122547 1000000000000000000 779914583 356251758 598722705 412977879 1000000000000000000 373484710 26244016 195124838 319589967 1000000000000000000 388752489 105236511 277718095 71407746 1000000000000000000 494501733 30898281 448886353 24992056 1000000000000000000 807834775 696354537 591538764 78961971 1000000000000000000 288419942 223785156 123491812 98476247 1000000000000000000 166156211 135112206 51392544 29779181 1000000000000000000 438985206 155662669 412171255 64758460 1000000000000000000 55157801 28922244 5689815 40419619 1000000000000000000 669168792 107259605 611241233 15048937 1000000000000000000 246649013 43038623 158062432 229091890 1000000000000000000 588301912 50960405 42421554 49696921 1000000000000000000 938161704 604499061 420988887 346537592 1000000000000000000 717394371 217553130 156771763 276845502 1000000000000000000 4711486 1093701 2864833 1467652 1000000000000000000 165525141 138880746 101930295 119611151 1000000000000000000 760075246 523919733 6522298 584936159 1000000000000000000 607039279 494157448 556850809 302053702 1000000000000000000 825167052 320324033 604407225 321133561 1000000000000000000 791717723 556857128 279832315 385776090 1000000000000000000 404776120 354735656 208006202 279046948 1000000000000000000 490050432 29014186 7988516 15475646 1000000000000000000 998886256 605113332 172480252 165626261 1000000000000000000 257088717 94519783 183432683 187434726 1000000000000000000 355797537 262214939 146502584 321943754 1000000000000000000 487287387 448316933 98524467 422604745 1000000000000000000 223419445 128052463 22024035 115367907 1000000000000000000 485187820 87632448 103176068 32522473 1000000000000000000 269876365 183825672 107394073 23656701 1000000000000000000 182454635 2303844 106741416 23807049 1000000000000000000 714611542 369755995 320155920 164029006 1000000000000000000 404814608 103177663 372993667 197933810 1000000000000000000 650495453 644517876 414819297 204538343 1000000000000000000 338206304 146916362 17274310 314719634 1000000000000000000 966888179 244114351 297040863 551320887 1000000000000000000 233486955 24771278 229199745 150933284 1000000000000000000 47511994 9035091 36957730 18820637 1000000000000000000 427022917 118238379 174480863 51473778 1000000000000000000 612737170 254882443 275403306 206836455 1000000000000000000 553526175 365984626 253242926 526127548 1000000000000000000 287761601 65748529 142230393 148810625 1000000000000000000 681773204 64016345 128652196 330179722 1000000000000000000 10711197 9642415 2232614 9955956 1000000000000000000 194687993 56879173 43639634 171255603 1000000000000000000 634386458 316250680 254757048 480532514 1000000000000000000 30701100 2716854 13506863 16519732 1000000000000000000 379641506 153705802 231890325 91498600 1000000000000000000 676668673 169092266 228894083 134890688 1000000000000000000 260207726 217432244 256765007 84975000 1000000000000000000 579918648 340315715 266563163 261339713 1000000000000000000 451346068 56450173 44171040 66749894 1000000000000000000 238568172 113877417 178735244 110064323 1000000000000000000 343179974 311174584 32197878 145817558 1000000000000000000 353439244 64576677 261401607 156194491 1000000000000000000 119968424 79156307 77747941 27816527 1000000000000000000 564787383 209481495 429601329 31238870 1000000000000000000 912074126 770249242 337400631 482441661 1000000000000000000 480697464 355953925 286743487 90769180 1000000000000000000 935779163 678616720 487000465 825406737 1000000000000000000 971520214 524119019 440170036 783013303 1000000000000000000 707318368 131680559 142435283 540043697 1000000000000000000 692779550 580220716 145685589 270319927 1000000000000000000 994842085 946797747 595150335 700996221 1000000000000000000 428351344 341386387 66415256 241871367 1000000000000000000 49449958 24269097 21304043 46184754 1000000000000000000 41050328 25256729 37325196 18994910 1000000000000000000 182384394 178264969 51231460 38649359 1000000000000000000 234762117 35128329 10594027 75808934 1000000000000000000 243641141 49825542 68986351 169481404 1000000000000000000 751414302 169380537 508848209 596061973 1000000000000000000 931377023 931030144 573243317 586511127 1000000000000000000 452526920 330090152 280239100 367306371 1000000000000000000 79113216 29452492 5119694 39183954 1000000000000000000 538596752 412884513 512882243 330132999 1000000000000000000 697737431 352999896 663114487 602647169 1000000000000000000 302429091 244272113 194334412 19736223 1000000000000000000 527825118 467388157 152756697 311806666 1000000000000000000 815890071 624949434 593662808 602808117 1000000000000000000 388628768 53846284 334522105 227209663 1000000000000000000 347868186 170551708 118377770 119186171 1000000000000000000 982520460 699717368 391924262 371639141 1000000000000000000 31300569 23076592 21430067 10071798 1000000000000000000 519280261 417483871 141417097 332682082 1000000000000000000 308323873 100580680 43520003 280528569 1000000000000000000 378053651 189044970 316424648 36037182 1000000000000000000 984735728 893455397 553760229 65945444 1000000000000000000 355382856 333516486 210969034 6855750 1000000000000000000 312714883 252086054 8977188 66330889 1000000000000000000 563056531 148188466 334537127 111761774 1000000000000000000 90244734 42213056 19438214 74381080 1000000000000000000 216166960 28253985 72611636 142000408 1000000000000000000 77581886 26306780 36090328 8693166 1000000000000000000 527063248 471908907 450050132 363158077 1000000000000000000 185660561 51095214 119916819 80970762 1000000000000000000 448762006 288215675 120431456 171198600 1000000000000000000 221703388 164512510 7079780 195650624 1000000000000000000 454533492 15683912 225720338 437415245 1000000000000000000 487968666 39591384 115777228 421676199 1000000000000000000 492517657 276915300 221313240 90609390 1000000000000000000 666078635 633710116 526813093 640289569 1000000000000000000 204942435 126462883 156215417 175117237 1000000000000000000 858453663 644011760 267684764 493491333 1000000000000000000 12997473 1877131 1547175 9960248 1000000000000000000 475507579 190241790 109472477 247600283 1000000000000000000 2013578 1002197 689818 1045039 1000000000000000000 521916652 333071033 23640534 124296789 1000000000000000000 815888161 736116088 629834563 4581409 1000000000000000000 927389445 560711822 18709438 83390308 1000000000000000000 591917926 467250109 524587226 368436995 1000000000000000000 625081400 414009806 300538726 375546536 1000000000000000000 320496565 62895142 239781842 158531379 1000000000000000000 243185175 200224835 210042396 154874711 1000000000000000000 517389452 257603285 298740468 488825934 1000000000000000000 281774049 1984847 129712191 25788756 1000000000000000000 350000453 124590700 321825127 279844856 1000000000000000000 234507062 182749017 42903908 226808098 1000000000000000000 427167989 12663655 1728114 327374667 1000000000000000000 38096900 32621444 6960092 20078089 1000000000000000000 714252624 182004637 623055923 52934464 1000000000000000000 967363293 24866955 744572401 895463725 1000000000000000000 696306385 239520203 458501684 226552646 1000000000000000000 224244366 85625144 102955935 126074159 1000000000000000000 79815949 6208471 44746793 75010342 1000000000000000000 98934738 82836715 50667844 50177295 1000000000000000000 292675156 229921204 238180205 1867445 1000000000000000000 165901287 673850 97688692 159616996 1000000000000000000 259436556 251961859 250811323 147567183 1000000000000000000 728371270 81093342 208001563 496942128 1000000000000000000 867054148 26000155 505078710 73515887 1000000000000000000 9187586 7960293 4998286 2304917 1000000000000000000 735875612 80588154 522636716 66439343 1000000000000000000 135237792 123466593 32342500 61151390 1000000000000000000 80926985 46704956 63035571 46670752 1000000000000000000 252069584 196095669 202344546 3001573 1000000000000000000 126938737 12589731 124602645 6143756 1000000000000000000 652915250 291102547 495296829 174469323 1000000000000000000 769668597 377527446 368761904 296516743 1000000000000000000 403873781 43913290 67269198 5348535 1000000000000000000 558895816 414331513 113820809 158957381 1000000000000000000 359154886 294351541 264711879 187694976 1000000000000000000 614829341 335371804 162932126 270720284 1000000000000000000 311547679 55205695 84653236 46089568 1000000000000000000 154174948 124337928 18739257 26529482 1000000000000000000 687313387 284755508 344409703 211628075 1000000000000000000 635890105 89512616 188415650 494740027 1000000000000000000 739317907 19768198 418745203 387478852 1000000000000000000 13977374 3678076 10602357 13742916 1000000000000000000 887444153 147964306 529600355 118836661 1000000000000000000 111264132 61620643 83694670 77675810 1000000000000000000 441175571 171697504 204441656 123072798 1000000000000000000 121920570 107589338 43017946 109679181 1000000000000000000 987807325 971643735 904375948 385660364 1000000000000000000 943952660 791645714 276477956 62200175 1000000000000000000 641352592 121514850 471967690 610874251 1000000000000000000 607334762 256494644 313939955 71522030 1000000000000000000 888893824 616329956 838984485 258577619 1000000000000000000 416951693 92065991 270113206 365770361 1000000000000000000 120178033 68782064 19117502 78546403 1000000000000000000 644593041 203788359 22687418 305425837 1000000000000000000 639962028 614811137 524509814 263956319 1000000000000000000 342985584 125497910 92180853 277759794 1000000000000000000 480274550 307932765 25262166 34163304 1000000000000000000 392076092 176805988 121815548 237322709 1000000000000000000 201877477 39581105 120803773 45411301 1000000000000000000 695516349 219006334 364040662 423927919 1000000000000000000 388704641 97206375 36385136 329317989 1000000000000000000 820940220 601275269 666995118 232851446 1000000000000000000 170763746 2634511 87589023 19727575 1000000000000000000 682704801 70201733 560181610 282256100 1000000000000000000 956557405 239543427 251858444 618428279 1000000000000000000 446326406 120832108 236817421 107652444 1000000000000000000 781968307 361190018 206052506 728484969 1000000000000000000 891103986 554845565 759350032 469227357 1000000000000000000 118058578 82286697 94824493 11356776 1000000000000000000 95762980 58583866 82054629 23731052 1000000000000000000 681593602 260726371 540918042 254594591 1000000000000000000 530190175 121930483 506445039 70313588 1000000000000000000 889104032 540484046 272295683 520374203 1000000000000000000 444517752 408493647 2943934 298800582 1000000000000000000 31215452 12514717 22666369 11140630 1000000000000000000 699479167 609037108 222188628 595171757 1000000000000000000 514465818 16790079 363550663 203035973 1000000000000000000 636768746 485399089 472485117 566244030 1000000000000000000 632458369 287264505 356373836 285049473 1000000000000000000 7069821 3129989 23126 3072570 1000000000000000000 601025041 131960824 513545604 592634390 1000000000000000000 59805643 35585091 23571205 8813584 1000000000000000000 128219151 5793343 118921819 80710196 1000000000000000000 706413538 670841115 355707711 203328380 1000000000000000000 792680961 127163575 515368531 332015249 1000000000000000000 77687639 15805116 57018937 30688221 1000000000000000000 95272531 92595601 94646451 67614049 1000000000000000000 997214387 770708157 821091249 377904960 1000000000000000000 202792754 170311332 87172978 143533022 1000000000000000000 640588837 327091278 100149626 596067017 1000000000000000000 299324343 99054004 177585875 190050552 1000000000000000000 471440034 122474322 464470677 300599006 1000000000000000000 727642406 354499840 515999863 441181097 1000000000000000000 450551372 219964802 321701213 126470438 1000000000000000000 68238921 19121173 6881841 55339915 1000000000000000000 947710127 441204179 56921513 811896560 1000000000000000000 381396712 230335320 357477799 210776437 1000000000000000000 765713142 33592401 553494024 190098197 1000000000000000000 985711739 410309480 214385087 682881304 1000000000000000000 373714994 183365811 295000826 98431260 1000000000000000000 432240535 166141656 300142673 388569619 1000000000000000000 678548066 616573524 461227365 501725154 1000000000000000000 837540509 723630989 201409984 44142355 1000000000000000000 844550627 613205577 241621481 797102913 1000000000000000000 381841974 96289375 33813965 180809542 1000000000000000000 185696632 145819011 172180945 162853958 1000000000000000000 144853298 122971401 69966276 121679863 1000000000000000000 712657481 678530569 355266412 696799787 1000000000000000000 316597279 288857737 173488634 129484455 1000000000000000000 979629289 27682551 466184965 825261070 1000000000000000000 406080139 60348928 7992205 86278651 1000000000000000000 89316722 32451031 41158839 80063358 1000000000000000000 881140854 311950259 418214712 429207317 1000000000000000000 340244196 28921554 4651074 40872920 1000000000000000000 326817682 152222018 292989969 296998313 1000000000000000000 365551812 304869290 267037559 66003806 1000000000000000000 987620779 253602118 337616271 235748542 1000000000000000000 307231521 67740043 260878318 235772545 1000000000000000000 150878611 107448826 8376345 84346527 1000000000000000000 16916836 11361760 1599624 3548048 1000000000000000000 590007693 180496368 231015080 564192858 1000000000000000000 278340284 259020109 155457990 132305761 1000000000000000000 264004659 203423427 225111113 107079329 1000000000000000000 367166402 274716503 354855511 46665891 1000000000000000000 736956816 513275829 627126820 481946406 1000000000000000000 575820337 116076742 523506948 79914248 1000000000000000000 461945493 146387024 91674753 63540461 1000000000000000000 575512582 405298951 212521108 56263239 1000000000000000000 96588724 77161376 32914918 71450607 1000000000000000000 130422821 67632908 62495585 123755637 1000000000000000000 88563171 72472507 66914727 6349487 1000000000000000000 775785351 380381899 320914967 92151114 1000000000000000000 990019455 844102715 401575783 467464451 1000000000000000000 362069950 218060590 351338747 142858017 1000000000000000000 56823922 117118 26474361 27062959 1000000000000000000 824193979 365580322 616095666 96479452 1000000000000000000 830336254 680617824 40002763 714773574 1000000000000000000 355407130 316206674 278678059 249462160 1000000000000000000 486045817 341558101 428211131 337289802 1000000000000000000 337663520 44259110 232292749 106226136 1000000000000000000 372941341 37837212 76181631 286393422 1000000000000000000 451389196 39994780 80718944 352550359 1000000000000000000 847216591 503928686 384387721 543414011 1000000000000000000 270051759 208951836 111902570 50926008 1000000000000000000 387263418 9439387 385048565 239887701 1000000000000000000 274122586 136893044 218327582 238304751 1000000000000000000 726269358 634882980 436733969 554635676 1000000000000000000 287548012 81534483 117581748 91387243 1000000000000000000 81015479 59922376 25223548 3565327 1000000000000000000 632432025 571991390 316255191 466546540 1000000000000000000 255971571 218460936 140395887 210170030 1000000000000000000 583411030 458629691 455527889 454436057 1000000000000000000 559328450 525068532 61709586 461683567 1000000000000000000 392043380 113602271 350183686 280080764 1000000000000000000 764835846 591520477 481465533 22524803 1000000000000000000 332413047 211809469 126510625 225729256 1000000000000000000 145579854 2704352 63213140 132079353 1000000000000000000 269638008 217887703 88821824 269569999 1000000000000000000 647628391 104622314 219042368 194375461 1000000000000000000 988738948 850160105 140222012 482962153 1000000000000000000 244637685 112519455 29288524 8516914 1000000000000000000 392378573 28986634 214462926 222675515 1000000000000000000 126931140 54471270 44990432 98849386 1000000000000000000 510064164 229398107 324285314 82798942 1000000000000000000 635227769 140222994 124525241 281350150 1000000000000000000 579267693 458234576 406999223 35780430 1000000000000000000 146254866 103634877 41787804 2729337 1000000000000000000 383255405 101251340 30915384 135266626 1000000000000000000 971731450 553376813 279252147 126363769 1000000000000000000 188148051 917538 68928509 185083421 1000000000000000000 3859684 1239653 169040 1369663 1000000000000000000 290412211 85165467 7906293 229015349 1000000000000000000 52973663 27459016 29737562 21037772 1000000000000000000 117106885 28295045 11614884 85358916 1000000000000000000 740764007 131021659 292319751 480350233 1000000000000000000 185792081 100444886 22436436 144637209 1000000000000000000 248412328 119656273 115002366 8934584 1000000000000000000 129651008 30505149 57770982 108365098 1000000000000000000 926711947 740049960 192978803 719168318 1000000000000000000 445013284 210380327 203618453 427366367 1000000000000000000 567725317 547899852 567619340 447585185 1000000000000000000 820797441 320451789 265587196 251288458 1000000000000000000 367456281 304158272 144442780 253672732 1000000000000000000 75599602 75303435 56849959 44027520 1000000000000000000 495357448 181812465 119853422 325546965 1000000000000000000 902687212 91295614 741810071 664041242 1000000000000000000 698213106 600417113 433160072 117692879 1000000000000000000 345097035 292895425 212710254 120304589 1000000000000000000 335742834 307627208 174294289 281509612 1000000000000000000 707672620 163207516 175523827 223601044 1000000000000000000 82548638 25980837 43924418 78171738 1000000000000000000 691599263 174089522 632741127 309811031 1000000000000000000 438585365 395051965 355545848 13775565 1000000000000000000 885632821 388331209 308817077 138620158 1000000000000000000 936109280 132090369 594133172 906328563 1000000000000000000 569581192 230038449 361914225 510500641 1000000000000000000 831391181 686898406 306288958 428723855 1000000000000000000 500334100 355743706 463601098 328581714 1000000000000000000 589291397 461198600 477400346 372516067 1000000000000000000 677093227 416371697 369539991 549464013 1000000000000000000 468316864 163444873 196765883 109855533 1000000000000000000 414088416 251304040 42035377 73599422 1000000000000000000 781508392 553744389 135497997 410501480 1000000000000000000 284756088 86696025 206608169 100156762 1000000000000000000 308009757 209949443 165218956 228155440 1000000000000000000 663093247 613272828 320718961 302923090 1000000000000000000 44070501 5425574 5897545 14737464 1000000000000000000 229408913 185643559 51228801 184537604 1000000000000000000 859963018 153268545 74577091 31430534 1000000000000000000 747954556 466145267 684709553 178601863 1000000000000000000 338104045 49360303 276646525 161592063 1000000000000000000 997659146 922379398 387271514 424535547 1000000000000000000 256400785 136577117 174545805 145959014 1000000000000000000 739269218 590632988 352011029 249371019 1000000000000000000 539885779 244298910 23648600 244036641 1000000000000000000 981625105 36314398 278425124 949241804 1000000000000000000 106971492 68535551 6911264 84487118 1000000000000000000 763030328 198147856 387020875 394441936 1000000000000000000 714874937 473180780 154025578 173044905 1000000000000000000 153317855 126750781 118243699 65318335 1000000000000000000 600993454 76896005 346973289 319114817 1000000000000000000 90221907 22612009 45351602 53553248 1000000000000000000 149337774 2700082 22669982 137510774 1000000000000000000 895069640 470800134 708342601 354144384 1000000000000000000 996454627 407999629 513934162 86323342 1000000000000000000 887827027 749911177 701855852 73110270 1000000000000000000 974654481 214017873 7290878 36834187 1000000000000000000 826861514 619216136 439934974 613478063 1000000000000000000 34843822 19861788 22370246 30970965 1000000000000000000 438533758 111548091 15575624 128298746 1000000000000000000 424991124 244497788 314704839 51044515 1000000000000000000 672897383 233900765 449860206 408607146 1000000000000000000 378115659 227215483 189608331 367259142 1000000000000000000 645559375 453517117 209061005 114061538 1000000000000000000 376764541 92372060 352467901 205283195 1000000000000000000 249304737 181543654 203908201 76583654 1000000000000000000 482206396 10966123 350623649 421795728 1000000000000000000 101944344 48078877 87858507 45382970 1000000000000000000 628918967 581073539 63872015 291615029 1000000000000000000 198883886 30590547 153749603 180420582 1000000000000000000 370157999 32955588 130570538 246737562 1000000000000000000 805337639 761250732 339973462 144393922 1000000000000000000 687764464 459381087 362267998 172840760 1000000000000000000 82905419 81297044 43529391 64901080 1000000000000000000 273729971 61216493 116682424 169544642 1000000000000000000 215550369 160109447 60183240 177527410 1000000000000000000 233805324 33107542 202902614 3905058 1000000000000000000 221658188 41194345 24728433 26709883 1000000000000000000 984553492 725168790 463578370 537509018 1000000000000000000 879452874 617329533 437972954 37361810 1000000000000000000 675413505 63962435 196750998 489382202 1000000000000000000 713243670 257339564 371882424 682788569 1000000000000000000 749507149 494643098 185478382 460099247 1000000000000000000 310295547 221938952 297700390 42146361 1000000000000000000 585389388 297458060 363721524 222855727 1000000000000000000 868135954 27725874 634296487 612829058 1000000000000000000 804279846 165230277 523931376 308665113 1000000000000000000 748666541 46805886 737226325 710100491 1000000000000000000 168091175 104329164 133506210 118365633 1000000000000000000 144776264 105455066 127137179 18430569 1000000000000000000 9021676 3619188 497654 1825499 1000000000000000000 426760883 288952864 403934407 44825383 1000000000000000000 447206537 55858564 136003258 41162148 1000000000000000000 694179054 155042780 411311161 546852072 1000000000000000000 491049772 348864339 23317575 123138458 1000000000000000000 893088310 249167657 427066232 863446918 1000000000000000000 149630003 81401224 65747001 129478895 1000000000000000000 92981234 70158194 60055171 71260745 1000000000000000000 284740758 64875244 156691225 33428876 1000000000000000000 210427661 58694324 90580500 167367601 1000000000000000000 847888186 707512640 39475866 186711405 1000000000000000000 648552713 421629014 582658772 516822222 1000000000000000000 898628313 810772113 591064600 845499240 1000000000000000000 98054541 29186884 71184410 83736732 1000000000000000000 397734748 70272840 316583288 247109714 1000000000000000000 845403090 702134957 793442972 817698100 1000000000000000000 3914820 2917303 1278730 2179693 1000000000000000000 274251051 62223197 30989009 169916849 1000000000000000000 892310242 339870734 287653995 79963767 1000000000000000000 336896166 246152158 282351117 161505006 1000000000000000000 79710991 79364752 55736143 70313341 1000000000000000000 545595494 184334231 353821851 201045576 1000000000000000000 700601637 430949095 541470220 503521026 1000000000000000000 557979112 306582602 99098436 430047266 1000000000000000000 869643532 114384915 122282134 189976464 1000000000000000000 322482956 240992599 128967032 200843646 1000000000000000000 602204580 237135269 181334865 9552513 1000000000000000000 200058251 52327728 118939443 118129554 1000000000000000000 296780778 113107121 212239421 156638388 1000000000000000000 171511155 19724075 90929245 50899426 1000000000000000000 65207051 35070903 7489573 40151490 1000000000000000000 482511338 437972833 354718812 433261828 1000000000000000000 974808919 190485576 508961747 476289325 1000000000000000000 502309876 19034303 222998374 406410155 1000000000000000000 161685388 93804935 101551197 23471573 1000000000000000000 194821835 50116154 16582022 32741282 1000000000000000000 578462236 565138128 141523063 51640880 1000000000000000000 676249575 501893862 211055180 482452052 1000000000000000000 561550598 482425483 525128741 410080275 1000000000000000000 644498406 180986766 273043658 367349206 1000000000000000000 522663985 345324703 29694075 300253728 1000000000000000000 677283088 671770383 315326321 252732092 1000000000000000000 774745764 49056001 37127738 209370437 1000000000000000000 689909854 379010611 483480699 562949255 1000000000000000000 493493919 405316880 318166163 337483915 1000000000000000000 728127997 399708342 91307303 331526998 1000000000000000000 441860218 235031895 14510401 38057089 1000000000000000000 21019547 20459195 1656153 18045821 1000000000000000000 223095362 153280047 76374200 67151981 1000000000000000000 172136796 97356190 100424134 33592095 1000000000000000000 171242130 71672777 54757022 57015075 1000000000000000000 42547393 17229528 26047021 41600052 1000000000000000000 364229222 40134776 317870452 120383595 1000000000000000000 985146940 585749983 647310173 409597570 1000000000000000000 849672024 766870591 57896545 520508300 1000000000000000000 483271848 28253019 81500378 480250747 1000000000000000000 785456761 274174547 342390372 249130192 1000000000000000000 147200654 67631750 126681213 46686006 1000000000000000000 217309505 214282849 153359943 120432930 1000000000000000000 297713396 149215962 69976070 268228212 1000000000000000000 240543116 64701390 67205148 224905899 1000000000000000000 189801602 88086809 74609523 27979705 1000000000000000000 169970596 139864829 120022377 13290438 1000000000000000000 572779243 69997627 90429754 313447351 1000000000000000000 603110539 307499981 451427093 111415605 1000000000000000000 896941271 137789022 212165067 827424709 1000000000000000000 713872211 185336994 419075440 98168901 1000000000000000000 744637620 702912664 514406633 181239498 1000000000000000000 967973021 680218307 408443874 81368746 1000000000000000000 871616149 34981244 43225197 199494944 1000000000000000000 581234127 69281522 250081334 330595016 1000000000000000000 435539388 55085772 369003224 250969468 1000000000000000000 589114433 511600713 129048583 583669015 1000000000000000000 894898206 542946998 665656970 509952746 1000000000000000000 692661386 455924095 312471859 204756934 1000000000000000000 526968761 83306957 352700799 508072053 1000000000000000000 371756626 178937456 325846931 294790986 1000000000000000000 236071414 166666442 124892690 114257826 1000000000000000000 959298066 211292332 376009285 706103046 1000000000000000000 563723412 364683939 65274565 43446753 1000000000000000000 591810335 578017148 547568324 412003318 1000000000000000000 542749479 127393925 174921220 323325662 1000000000000000000 529123448 309793821 253436865 241044886 1000000000000000000 186633639 154770660 63286607 167230696 1000000000000000000 507282962 418906570 43295900 294803596 1000000000000000000 514089161 68655367 414590483 101468650 1000000000000000000 8399126 1852927 6063933 244618 1000000000000000000 922329750 630733079 498053324 671221045 1000000000000000000 306217869 196251615 247848383 103207301 1000000000000000000 317707906 70520451 59915034 43200035 1000000000000000000 512272428 154160570 499136133 177825325 1000000000000000000 280693711 267962885 96250039 244037590 1000000000000000000 306328972 166209934 192094275 258737381 1000000000000000000 186385692 70803098 126186817 166656064 1000000000000000000 965104593 676384634 108161911 701780759 1000000000000000000 461426696 291025462 245948355 26624140 1000000000000000000 865983999 296150566 357700000 826019924 1000000000000000000 178733336 36206059 99083458 37232706 1000000000000000000 427448577 63763863 13127639 368910924 1000000000000000000 924465257 81260136 871681925 802661085 1000000000000000000 521607552 385573517 327477274 61441493 1000000000000000000 417792338 374772314 234958548 32908835 1000000000000000000 356980185 81553622 144671582 182239095 1000000000000000000 489887549 67893851 367446131 84457602 1000000000000000000 302774601 18403057 293032328 255434872 1000000000000000000 232404104 165724401 200323855 28099973 1000000000000000000 250502525 202085391 194685486 171706851 1000000000000000000 727655678 518475208 404487028 662989373 1000000000000000000 71348438 25662068 29129670 14125799 1000000000000000000 637839111 71453342 277618936 19523095 1000000000000000000 857828705 762092335 599745997 293363144 1000000000000000000 139747183 6579071 5065370 9620086 1000000000000000000 637373062 232986536 348307439 592241507 1000000000000000000 763573094 625157797 371763434 577722171 1000000000000000000 125436181 56128072 114809339 37761666 1000000000000000000 25631273 20240494 6106731 9348589 1000000000000000000 55305724 34362425 53984530 31632716 1000000000000000000 286927610 123269876 87971044 11693108 1000000000000000000 61541001 8353467 562633 24107186 1000000000000000000 59216983 39799397 58002965 8053558 1000000000000000000 755825628 177776347 283074788 213190405 1000000000000000000 903680218 873395610 790365689 1974636 1000000000000000000 62095256 60223954 2460935 58238531 1000000000000000000 524094594 202830196 419287665 298956233 1000000000000000000 865634187 424896946 360607681 376864262 1000000000000000000 427176535 208574178 21812364 303819354 1000000000000000000 44808332 13310631 36815258 4996443 1000000000000000000 829155430 482311369 696356034 729539893 1000000000000000000 493851633 203469807 194716836 333322134 1000000000000000000 123607219 6875040 2889646 117854253 1000000000000000000 70844872 20450348 5025397 5848343 1000000000000000000 163925451 99029524 147295294 74325639 1000000000000000000 690371067 453552455 185092567 610464808 1000000000000000000 508659728 107773663 13475708 311819419 1000000000000000000 683021942 152878410 462739063 144294869 1000000000000000000 456148711 259429366 417980970 376715903 1000000000000000000 892792368 812743479 338290265 276277904 1000000000000000000 758332189 412425102 580290829 124780836 1000000000000000000 794751985 580479253 146842144 208888678 1000000000000000000 887644741 449240065 26453310 326914283 1000000000000000000 160411621 96326844 45176008 19894680 1000000000000000000 899662822 701845753 321405151 15317180 1000000000000000000 855053382 405256166 125933377 311043697 1000000000000000000 84687604 10241088 10278319 58106973 1000000000000000000 259708823 66598611 231087403 74176286 1000000000000000000 307277433 141823679 85866925 89763975 1000000000000000000 397179680 118607368 35049614 209846900 1000000000000000000 165649528 97075329 103949682 71935305 1000000000000000000 293318170 29937578 152380048 104865 1000000000000000000 231920140 89280699 215853899 171567388 1000000000000000000 720397481 143882711 302267295 552220223 1000000000000000000 678507667 418655319 484735355 17018773 1000000000000000000 176249242 107185846 91442452 150362338 1000000000000000000 155718296 74197158 61259081 110364132 1000000000000000000 933511518 529698097 613882564 485623010 1000000000000000000 68579914 28191943 43933007 39322621 1000000000000000000 608443787 269739399 545090921 393849728 1000000000000000000 582068676 15324781 73904288 415840994 1000000000000000000 175281347 123356951 4552008 28082488 1000000000000000000 435357826 312319568 72125179 173939979 1000000000000000000 209944197 196279370 127996838 71513431 1000000000000000000 715326949 524064574 14573176 582987544 1000000000000000000 458006301 244925410 426205054 373495201 1000000000000000000 73338316 43117308 52882045 40493936 1000000000000000000 30282733 18800308 4740061 26979965 1000000000000000000 695098530 304115371 557092781 613670075 1000000000000000000 279414673 20172783 238120887 257825765 1000000000000000000 59014156 42510506 51239312 43806874 1000000000000000000 488696258 169792301 433603158 285597079 1000000000000000000 613729353 97663720 207605724 126563516 1000000000000000000 724998944 163701555 700469881 6830846 1000000000000000000 68244226 10699344 16905291 14589499 1000000000000000000 196101092 60481791 168334174 41727584 1000000000000000000 975001941 402335044 86909119 59915809 1000000000000000000 27131165 3060027 588427 24518202 1000000000000000000 500979649 100823062 407858487 346146984 1000000000000000000 225517488 88817204 212922580 173938563 1000000000000000000 593917101 584011853 15153652 283189510 1000000000000000000 699132265 96510899 92395927 211245870 1000000000000000000 464956523 82307750 54711707 130742222 1000000000000000000 955910187 793987198 546808161 320760558 1000000000000000000 230946208 117295593 10022512 17074698 1000000000000000000 339760956 123203051 254756842 278234703 1000000000000000000 237484364 125634522 6891181 126962417 1000000000000000000 944216447 516026873 224867170 497307924 1000000000000000000 759117737 407562495 496462641 195721139 1000000000000000000 253049498 77468191 44523740 10491610 1000000000000000000 114544641 32406889 25224997 52665632 1000000000000000000 359115415 353049709 211619290 133342068 1000000000000000000 932628156 408861561 166883582 7204505 1000000000000000000 179625323 96811375 10339504 60764258 1000000000000000000 793626744 384663102 683931072 401959323 1000000000000000000 689103265 418823830 199321165 289956711 1000000000000000000 260597541 66734073 73861781 116222118 1000000000000000000 782855786 110504663 509295409 645783987 1000000000000000000 94181710 69109317 33266697 92268231 1000000000000000000 848586615 715109597 268486193 142840595 1000000000000000000 590020282 381314920 342527787 64253625 1000000000000000000 115458579 6773583 20519543 27333469 1000000000000000000 64012394 47173836 32520524 13414681 1000000000000000000 331265506 306576198 116396086 70814868 1000000000000000000 723140040 370568001 66811423 700642593 1000000000000000000 769580120 614132577 357176168 225643230 1000000000000000000 399707906 99436776 388820347 64825331 1000000000000000000 724584418 494476137 708000393 412815668 1000000000000000000 62560578 28645004 62146576 50790670 1000000000000000000 435663792 215360870 41651466 334981475 1000000000000000000 594061437 570347827 312897914 509389836 1000000000000000000 711061127 482642702 691676975 606703597 1000000000000000000 566422013 507397399 335591306 42493715 1000000000000000000 676966376 200380659 420772091 618137699 1000000000000000000 992781656 757021203 604243405 321630571 1000000000000000000 943948326 283159727 248581226 866629916 1000000000000000000 553145766 462526673 281765588 321743410 1000000000000000000 124539082 12052375 122449369 36649488 1000000000000000000 987185544 807606503 902095923 808105126 1000000000000000000 937705972 750019287 201200873 458881190 1000000000000000000 230557683 515687 97062879 18554354 1000000000000000000 529820376 454699136 440035928 173190038 1000000000000000000 864117131 458228644 144310182 766176123 1000000000000000000 57053205 39256767 56713884 55570604 1000000000000000000 303074042 249110978 37416956 278029860 1000000000000000000 402483848 395140000 332533386 151099641 1000000000000000000 136507293 100053165 37023420 28282177 1000000000000000000 442683135 281049112 250198609 350715231 1000000000000000000 250393396 175181959 189615691 187932249 1000000000000000000 169732968 49019272 36772773 88528937 1000000000000000000 106649957 105773715 73046877 78633686 1000000000000000000 197802304 163605368 99439746 121429047 1000000000000000000 905318092 437281476 147560684 457333527 1000000000000000000 875405895 461862992 819605301 533790049 1000000000000000000 95937947 2866923 1619075 13235446 1000000000000000000 759153313 371373893 566069420 741161786 1000000000000000000 981902823 421813687 93278538 764205846 1000000000000000000 235102102 80945346 70471838 158032373 1000000000000000000 256856887 256541736 164805772 78092581 1000000000000000000 617206728 592364823 526557428 510285431 1000000000000000000 402844860 168844611 24326782 281980293 1000000000000000000 168893279 55545778 102468705 106681568 1000000000000000000 986667655 137518574 88989886 804608351 1000000000000000000 505606708 187228725 172903735 175015983 1000000000000000000 405826837 63424233 12326950 340258131 1000000000000000000 290822070 3166829 16863844 163372408 1000000000000000000 70513208 33112886 46689224 49940862 1000000000000000000 861638052 646466260 389170998 30748678 1000000000000000000 614526322 85645564 563982617 317465416 1000000000000000000 960082316 920409343 356773385 684821486 1000000000000000000 796783757 225449534 737773557 416870236 1000000000000000000 508126669 484363750 185539939 369259701 1000000000000000000 460888423 449271554 49643990 385001249 1000000000000000000 309156591 91860141 64915592 144614984 1000000000000000000 384189541 213747711 242584443 20677707 1000000000000000000 762657158 255174683 736219860 705725956 1000000000000000000 593936653 286563801 441270004 199327588 1000000000000000000 52156709 48036853 10060453 39171743 1000000000000000000 714711489 642037965 614113045 109158254 1000000000000000000 836174934 620724557 796926582 654652669 1000000000000000000 305383942 172230833 205758643 53239276 1000000000000000000 201103058 146284250 172545198 129768152 1000000000000000000 93488931 14576734 66639093 9238495 1000000000000000000 79167607 41819768 2213333 47309825 1000000000000000000 944327257 159367846 662626076 895942301 1000000000000000000 510377902 101046100 25678454 113496117 1000000000000000000 133013984 88660425 110758532 5722360 1000000000000000000 872721931 508223081 671902945 808884949 1000000000000000000 86477950 61671857 41817317 27910854 1000000000000000000 540099573 389466695 159559661 16989254 1000000000000000000 714589982 52552651 429164534 199003348 1000000000000000000 988095492 365312672 380528649 731167494 1000000000000000000 620277228 570140309 421550869 283870426 1000000000000000000 534947873 350727913 118793856 447706896 1000000000000000000 242291048 115333670 210323847 107659051 1000000000000000000 753409041 59139948 173500720 283693155 1000000000000000000 687566700 185018929 206852232 525977556 1000000000000000000 201798921 27501883 54821806 87193024 1000000000000000000 779237727 64131550 743680594 464270200 1000000000000000000 286215542 133514565 231090914 234214454 1000000000000000000 669618890 189012540 247317742 480907105 1000000000000000000 738152095 335418122 548031218 534200812 1000000000000000000 756896978 219408991 397301075 341791319 1000000000000000000 369466783 306179214 29724573 271394324 1000000000000000000 545458946 372188470 98252781 84291936 1000000000000000000 651695699 611138392 93170074 469698098 1000000000000000000 268550909 83139181 192657689 132952041 1000000000000000000 983291310 653091233 909332967 165071018 1000000000000000000 156874733 16878535 134372539 73049619 1000000000000000000 817287985 309887255 618827455 611094719 1000000000000000000 160036677 78344215 45096500 128839335 1000000000000000000 735417601 208588554 344308292 499716369 1000000000000000000 664146891 495441442 221194392 597779562 1000000000000000000 467995840 114631039 370074263 48313691 1000000000000000000 868602251 679546675 679559791 678864924 1000000000000000000 4752294 2354214 1160438 4565130 1000000000000000000 543003540 66155105 39507829 101100331 1000000000000000000 174661169 70126453 12360030 80135737 1000000000000000000 73253425 29400841 18834415 66922373 1000000000000000000 256699480 247761900 248223606 152855489 1000000000000000000 161332181 56236728 146834173 119838300 1000000000000000000 78065736 46331773 31037456 55333175 1000000000000000000 14225483 11315897 1039112 10982399 1000000000000000000 981588439 123212911 483535103 388853762 1000000000000000000 621475079 111970986 34213525 105997569 1000000000000000000 122365793 30805530 32778742 70404573 1000000000000000000 599737983 15856872 513625517 285411523 1000000000000000000 971334892 633839698 963526490 749062254 1000000000000000000 984788539 259890297 139785227 202706235 1000000000000000000 426661728 282008526 171240682 78319522 1000000000000000000 608496356 153533092 435873543 306782660 1000000000000000000 888995154 676488878 471316778 560805307 1000000000000000000 963526329 557758422 940284697 621092205 1000000000000000000 699035108 131701711 258611735 535974502 1000000000000000000 498129405 239483160 467392253 80817341 1000000000000000000 810866038 381387769 207706517 622632811 1000000000000000000 936165278 87762921 529976130 279316615 1000000000000000000 816541597 182006423 696938140 18222712 1000000000000000000 311918983 98359298 88876708 226843763 1000000000000000000 130496120 116865665 116471636 99235843 1000000000000000000 613104229 111885344 311501811 229336218 1000000000000000000 779588819 75378887 521912353 500456923 1000000000000000000 436740538 372554687 71321757 323181867 1000000000000000000 883960404 80780171 344555017 768188791 1000000000000000000 298266337 3979528 80403438 129044866 1000000000000000000 296909853 55460826 246144045 39794279 1000000000000000000 661036511 411337193 186715860 189447697 1000000000000000000 947131098 124913017 234750454 257276719 1000000000000000000 460662434 19654269 392762854 444663413 1000000000000000000 312984796 775486 181030420 290060381 1000000000000000000 536965624 93187693 232896119 202926410 1000000000000000000 359244481 124130995 96226884 280253301 1000000000000000000 952184749 592941087 545229326 617404308 1000000000000000000 608191578 367088215 561869747 352254945 1000000000000000000 55961775 55576064 54753397 43844925 1000000000000000000 141101351 34104513 40562764 24386031 1000000000000000000 727972986 86413079 384349549 439590018 1000000000000000000 390029822 334530764 138434129 289700761 1000000000000000000 474718462 27642266 286909776 380004961 1000000000000000000 759845061 399797181 686321545 67769205 1000000000000000000 301989999 93531048 106135739 26597339 1000000000000000000 153723949 19847861 109517813 119312474 1000000000000000000 360512862 81052825 125359638 81208082 1000000000000000000 62254285 53547260 58885883 20604635 1000000000000000000 284907704 125607901 155281963 75017457 1000000000000000000 108755151 24397544 84373578 86204484 1000000000000000000 522989002 498822568 311513847 418445741 1000000000000000000 677289503 461723927 413402752 87851551 1000000000000000000 892713490 870305626 763406399 581498154 1000000000000000000 910020846 208772576 259176657 721108761 1000000000000000000 330071026 238924775 113928547 239793538 1000000000000000000 652710679 213320353 66370355 623124838 1000000000000000000 191265224 41550778 113264842 27775064 1000000000000000000 91049247 72254555 58064613 88566335 1000000000000000000 46461789 8157371 14957992 28001569 1000000000000000000 976963427 368442272 963419376 498021055 1000000000000000000 211547414 145316 71552881 27487411 1000000000000000000 155630424 103817862 69548872 66740638 1000000000000000000 120930645 5557883 49566289 58184034 1000000000000000000 467858572 357534455 467145750 108696249 1000000000000000000 223683460 207692062 124238835 1881223 1000000000000000000 315226124 17304150 176807342 6113431 1000000000000000000 990349198 969602888 705604193 185558538 1000000000000000000 329700769 20306816 126033827 216149256 1000000000000000000 494089810 308242572 455658984 116629079 1000000000000000000 960398576 653630870 584416643 753473355 1000000000000000000 808942744 742507577 541887135 358223796 1000000000000000000 335227567 252160171 206574193 178425837 1000000000000000000 451975877 391976899 423534776 225610506 1000000000000000000 504922234 302219009 322815585 280841756 1000000000000000000 759060780 517114800 282811277 44653752 1000000000000000000 207110407 149736223 48655688 133934295 1000000000000000000 75019427 38136185 38903035 71746198 1000000000000000000 608423470 434145209 151625981 191140161 1000000000000000000 458537684 219797471 302612498 62350577 1000000000000000000 346922873 177000544 321620848 193806886 1000000000000000000 118026625 64763076 37538320 104431777 1000000000000000000 345715702 52311265 132860362 338159121 1000000000000000000 928544316 151921360 306689549 358039517 1000000000000000000 52688813 52585683 39309225 46135930 1000000000000000000 228850011 51167646 4455154 97031400 1000000000000000000 590715372 184053463 473502876 61502333 1000000000000000000 99320070 35146052 17223084 70326136 1000000000000000000 17648603 2276829 10089965 10589559 1000000000000000000 625700577 349522849 332837291 116380535 1000000000000000000 587446299 3319521 75078452 52848191 1000000000000000000 901447338 220991442 384448637 218533767 1000000000000000000 739345426 4743690 728010842 263794037 1000000000000000000 123177525 25243165 39859468 86833724 1000000000000000000 464231080 396957136 240291747 378482145 1000000000000000000 217794590 199128200 30566959 207030198 1000000000000000000 975486132 383477432 153048654 852222584 1000000000000000000 342329610 59934090 92897897 253637867 1000000000000000000 824754777 187441849 422942298 70060171 1000000000000000000 151310062 3109912 28599839 21203821 1000000000000000000 940449638 779351139 140514357 887666080 1000000000000000000 660173435 259607432 392056429 234600143 1000000000000000000 939566722 128350524 609922221 857584326 1000000000000000000 666748808 363055835 381657969 306488006 1000000000000000000 970310071 951785169 559992290 11462315 1000000000000000000 89473644 48928666 27706904 53430466 1000000000000000000 582517722 577286984 434408763 581413977 1000000000000000000 328250912 202686545 32709938 90905356 1000000000000000000 858010973 544176953 335229528 760207558 1000000000000000000 507240782 484225565 41580765 160727187 1000000000000000000 252517940 86589672 143080208 147365750 1000000000000000000 29243160 18302754 26429461 19553704 1000000000000000000 829272054 62659632 629435176 812427358 1000000000000000000 297456954 255143348 278681388 196351179 1000000000000000000 206498624 191327697 28073501 73348561 1000000000000000000 568669563 272867103 149891267 183424721 1000000000000000000 641612049 307401053 269459861 193009147 1000000000000000000 138441800 39160590 69678809 91119705 1000000000000000000 342558285 21999520 52013946 35492506 1000000000000000000 573334369 258520434 384877401 372632301 1000000000000000000 909791340 347832600 554588893 244372551 1000000000000000000 22031706 18069322 14878377 6483789 1000000000000000000 100935418 68196546 40207002 27000706 1000000000000000000 511848868 320248249 161908012 470178288 1000000000000000000 400620333 334262081 114409121 180311400 1000000000000000000 171057023 36430457 34952625 153826774 1000000000000000000 729497777 326528445 66756186 78830960 1000000000000000000 553100696 223093145 94149176 473764883 1000000000000000000 81053111 47798793 47087950 11995847 1000000000000000000 250223610 126096014 228271336 163373065 1000000000000000000 996449728 853936398 465996740 164608162 1000000000000000000 128133017 25658926 24107451 29746444 1000000000000000000 983598495 796846919 92236404 838237578 1000000000000000000 907863922 466387466 280347194 472696335 1000000000000000000 282634906 6878111 196193165 255730864 1000000000000000000 248201591 58017642 200147239 104635096 1000000000000000000 404754255 188276243 174444959 295548677 1000000000000000000 324619853 49739589 138044374 44254855 1000000000000000000 940553098 322605541 217123923 809389232 1000000000000000000 59056625 28213289 55274360 26054231 1000000000000000000 708186617 22938487 564403281 644644573 1000000000000000000 53499531 23167478 5049391 16572136 1000000000000000000 326872380 281376256 214703669 231408515 1000000000000000000 802704182 183962639 495876956 616078513 1000000000000000000 689651150 245987765 6916240 519171619 1000000000000000000 665968516 404256772 62713229 555668707 1000000000000000000 268147921 70669617 120001486 43736662 1000000000000000000 362388677 30547353 139130993 306730366 1000000000000000000 327070127 144863488 185460017 213588572 1000000000000000000 484494269 139374615 427595572 378633442 1000000000000000000 731148922 384441108 142838116 414066233 1000000000000000000 611743588 172707476 531963642 50179302 1000000000000000000 442960264 307148632 151923775 293367953 1000000000000000000 913434953 782261725 485996142 229003784 1000000000000000000 557524432 385852241 181750568 275014430 1000000000000000000 364787360 52812803 180012287 134656206 1000000000000000000 3241303 2857675 1722819 2925008 1000000000000000000 683305028 398342680 219370591 662579332 1000000000000000000 621374740 271944355 94842945 566462807 1000000000000000000 854446363 51810313 302174889 310653506 1000000000000000000 832530307 311637312 778937201 829674545 1000000000000000000 774937059 185119640 84932616 26200900 1000000000000000000 377353826 335331100 238710695 313211976 1000000000000000000 68238082 42666105 42524989 13324522 1000000000000000000 128061895 111373816 110347177 103354735 1000000000000000000 237694182 88350750 208364492 142565019 1000000000000000000 959517585 640864998 606251547 326662415 1000000000000000000 850328938 741016211 445367408 671241497 1000000000000000000 257371963 7745421 120054013 256592704 1000000000000000000 17794318 11910287 380365 9523977 1000000000000000000 411618703 235729699 123899010 90546921 1000000000000000000 581707166 290583210 409968144 168438789 1000000000000000000 873821476 654788255 322764915 631117244 1000000000000000000 346222150 80710548 321052733 315300000 1000000000000000000 759934581 453997732 642623869 224547453 1000000000000000000 212417540 122772848 172584572 19545970 1000000000000000000 215864421 207686867 133197607 49798106 1000000000000000000 80476481 43235518 74908741 16263192 1000000000000000000 92247087 5046218 5060526 55419335 1000000000000000000 786335930 344465125 12782312 403782319 1000000000000000000 354653350 342127393 266119891 32030342 1000000000000000000 666429073 520413866 65929521 541184088 1000000000000000000 73537317 27234643 10734474 5813540 1000000000000000000 444778563 181806298 105766546 31346726 1000000000000000000 574629424 384990539 363762554 488619818 1000000000000000000 559856257 363732237 312660247 417494501 1000000000000000000 621582530 270424990 265598616 257923819 1000000000000000000 725157768 528263462 184439974 222491752 1000000000000000000 232928256 197451311 17701368 97222131 1000000000000000000 250457902 178887706 233920486 242617 1000000000000000000 445255613 263936269 268028091 186400626 1000000000000000000 403243549 42319752 151947266 15015166 1000000000000000000 120638031 104636178 41069162 9187583 1000000000000000000 101040182 57139035 35358571 13426156 1000000000000000000 947871410 350408652 791695711 223465927 1000000000000000000 569947902 259026561 242585535 238191961 1000000000000000000 296924061 74717925 264738429 61535181 1000000000000000000 234499351 53344017 40392435 165906657 1000000000000000000 204105662 80225264 151113074 76584330 1000000000000000000 880301806 438517750 267373540 757412757 1000000000000000000 827643642 446189641 407851693 822043481 1000000000000000000 357016785 18342604 319198715 235664483 1000000000000000000 638125710 170775495 69046472 231987677 1000000000000000000 859631123 71892902 853646527 529163760 1000000000000000000 60531090 13532603 5544923 32033262 1000000000000000000 334087724 190180048 201036035 228722002 1000000000000000000 946668293 53338732 884669603 769841056 1000000000000000000 275956453 174542096 58522972 257493116 1000000000000000000 10861120 2152206 7934134 8270170 1000000000000000000 273369762 233262097 212496514 269533249 1000000000000000000 708250341 284661356 431485077 433235573 1000000000000000000 327720955 94231832 18462311 187868410 1000000000000000000 503905889 292630333 6258099 17668693 1000000000000000000 674658466 32665238 413813605 382461673 1000000000000000000 312929355 157902542 171914316 293599599 1000000000000000000 130483691 116264020 118813062 42249864 1000000000000000000 142875803 110961794 67824884 114010644 1000000000000000000 920190291 112246882 252695406 855355810 1000000000000000000 760611351 582752278 403869075 366369079 1000000000000000000 359987848 116288709 318451641 118015919 1000000000000000000 330323287 45964035 9472430 6761276 1000000000000000000 592747035 332080202 130795872 341743332 1000000000000000000 947035493 921665294 819195044 487242728 1000000000000000000 878423067 537126275 774459414 494369332 1000000000000000000 609192969 322583208 166594479 473946467 1000000000000000000 258315081 61363334 108662835 197018052 1000000000000000000 941899111 705234583 410361653 475011228 1000000000000000000 795883837 783500337 88975296 363349832 1000000000000000000 585043674 43319541 367424729 166281096 1000000000000000000 989268937 326427103 784524216 831334508 1000000000000000000 225248552 90682534 89037234 194414908 1000000000000000000 952908234 466064614 650422771 195187973 1000000000000000000 814127790 501789401 757605430 475985760 1000000000000000000 808254598 597755206 540893416 250647417 1000000000000000000 579845509 564438014 572958504 360978727 1000000000000000000 97931817 25991954 90328115 32939913 1000000000000000000 858329699 418703199 184549795 744870741 1000000000000000000 434076283 192607172 293293146 293270472 1000000000000000000 987244150 752993050 946016337 89910103 1000000000000000000 655494307 108007221 26176117 473787270 1000000000000000000 821995686 237499725 154691670 279873542 1000000000000000000 8806733 1996852 8216262 8198399 1000000000000000000 32677411 31239622 5216577 16454182 1000000000000000000 285133412 161648880 239366206 143659779 1000000000000000000 483312419 385968294 35663105 454704288 1000000000000000000 446076342 26491633 342503126 417816707 1000000000000000000 202803344 177288817 188478141 128801952 1000000000000000000 843734845 541909343 275695871 333380502 1000000000000000000 161346609 10604962 19632199 153030670 1000000000000000000 90166721 28265370 85513415 48817123 1000000000000000000 277947876 28122066 210682401 179583077 1000000000000000000 210767973 21471666 181970674 127051379 1000000000000000000 708746115 487955306 562644197 676407505 1000000000000000000 729771308 646561794 535203604 279067948 1000000000000000000 861847924 707293287 798838985 308171965 1000000000000000000 380008076 91613409 227372074 47603494 1000000000000000000 828334812 567796564 59718146 234469152 1000000000000000000 338575187 89878350 234752265 179010003 1000000000000000000 243514491 170512218 83442239 221834113 1000000000000000000 557063191 479179005 40125889 489616730 1000000000000000000 456547181 374767497 140224995 123190387 1000000000000000000 878080007 849043413 159018140 133952619 1000000000000000000 48756469 42156732 32179613 31345983 1000000000000000000 493864707 314106737 135593922 456039642 1000000000000000000 433806417 46569025 134260766 349420527 1000000000000000000 944048223 604824753 267589753 849153623 1000000000000000000 108091665 97701351 81352988 91470095 1000000000000000000 346698652 172282752 67206782 278377030 1000000000000000000 429038839 94712881 21466431 402718189 1000000000000000000 590290535 134171347 223853835 210282219 1000000000000000000 471922238 55315998 354210976 239302966 1000000000000000000 163642031 82187648 147751485 117611470 1000000000000000000 199980810 171092346 167686606 155705973 1000000000000000000 336484914 15047700 93071499 90750849 1000000000000000000 625540583 332190147 479035678 2027360 1000000000000000000 907214580 323080898 192089984 438508201 1000000000000000000 539558842 420548893 352202896 355413077 1000000000000000000 983403693 979548569 419761041 433907984 1000000000000000000 888349882 773444922 700289953 410379668 1000000000000000000 407352262 293756946 365360652 87099889 1000000000000000000 626013326 159451287 28249403 1484733 1000000000000000000 519169648 401636901 232535441 67634134 1000000000000000000 653176690 446020505 62710627 505713947 1000000000000000000 402580524 286651226 204728102 202534371 1000000000000000000 106242433 98714744 75533908 46163140 1000000000000000000 424332720 394561027 414707276 19459362 1000000000000000000 402278147 169112302 173118820 380955596 1000000000000000000 971901696 864789571 333300923 859090083 1000000000000000000 860232817 850237686 716718342 724796922 1000000000000000000 532615500 141614724 459919405 189875016 1000000000000000000 990287402 280816588 749142090 711914493 1000000000000000000 427997311 191771031 100452516 209728580 1000000000000000000 492761119 87982732 31703613 330962868 1000000000000000000 865559217 286488398 802730107 615382801 1000000000000000000 48513297 1644443 13017713 8433585 1000000000000000000 984456449 752465450 29579493 69608476 1000000000000000000 31345776 30306782 4519162 15520093 1000000000000000000 992248243 311655094 26535826 755575279 1000000000000000000 977899067 950801293 903684711 160530067 1000000000000000000 270810923 55758754 159009477 146234650 1000000000000000000 523911442 110755408 203937369 377509768 1000000000000000000 930363578 804514510 709309119 262987342 1000000000000000000 594448179 365229554 237927511 473652292 1000000000000000000 671923479 439744961 18156894 509921808 1000000000000000000 199672764 140141171 93932292 10905243 1000000000000000000 710986437 560078189 99596209 214163367 1000000000000000000 680147966 261785333 38373346 647681109 1000000000000000000 548953072 161672915 143405106 306685702 1000000000000000000 199515236 192271586 140764567 70777330 1000000000000000000 645908555 533522358 238430199 551966877 1000000000000000000 680523027 451638661 252743771 542439659 1000000000000000000 1380592 300105 557120 347829 1000000000000000000 196630921 129626798 93908080 180188342 1000000000000000000 765597312 561800389 77828759 86802361 1000000000000000000 141193983 97402554 130481133 116302293 1000000000000000000 885428840 736363737 330371193 587229490 1000000000000000000 351140344 96765880 89228574 272546603 1000000000000000000 9994568 2904537 7089444 2927916 1000000000000000000 572656530 399060718 14335842 472165233 1000000000000000000 373542957 248580338 143977251 256827652 1000000000000000000 735774462 317975664 626238880 400046883 1000000000000000000 544525358 252602219 125230077 524266672 1000000000000000000 126264341 85908193 85563242 32508642 1000000000000000000 902987296 394562585 23371002 399263300 1000000000000000000 915673605 796835545 416675689 27568085 1000000000000000000 45125076 7669059 28471085 30781602 1000000000000000000 157346661 32119526 40195042 154594284 1000000000000000000 306831729 72866020 216815018 174784097 1000000000000000000 530359372 125954072 224299587 440928224 1000000000000000000 872965598 13087592 498584803 398221410 1000000000000000000 639025337 85575316 211433778 631866721 1000000000000000000 905297507 26331690 470909644 577543582 1000000000000000000 659253683 91752837 157185952 570753884 1000000000000000000 556066827 89091049 239740720 461948215 1000000000000000000 448722448 243344117 267025869 145600026 1000000000000000000 516593480 317097580 425377817 219827664 1000000000000000000 905234906 275568403 734102080 430945207 1000000000000000000 227923624 43459782 153232972 207249731 1000000000000000000 70250469 26473305 13930857 38455855 1000000000000000000 437241264 359753389 55759255 276710559 1000000000000000000 955942426 759516911 230830131 24581205 1000000000000000000 268751463 43161008 97055946 120865135 1000000000000000000 672728400 525180995 110807178 311039591 1000000000000000000 688252408 646232385 316762577 467272789 1000000000000000000 220311334 164511836 179716309 71156894 1000000000000000000 450782453 445768503 24706210 242444601 1000000000000000000 565584835 22039840 157532150 404532631 1000000000000000000 912253731 498672095 636400011 35966278 1000000000000000000 499019940 157875354 437517180 437894619 1000000000000000000 88686769 10624833 87712882 41614149 1000000000000000000 679143303 304058872 387607931 50514891 1000000000000000000 111955138 67650365 6004592 83377507 1000000000000000000 858007593 142390390 388374416 604522736 1000000000000000000 689162413 126194778 458931658 386873630 1000000000000000000 241425375 155106260 19294301 138184026 1000000000000000000 769239153 267607949 614484079 732935365 1000000000000000000 298916408 211032916 21577385 70649592 1000000000000000000 762580770 375961906 404530194 518879981 1000000000000000000 656157857 322569876 148286766 578390309 1000000000000000000 333936457 78063476 239306349 134915061 1000000000000000000 77916923 44087083 54287980 52583869 1000000000000000000 456588644 105421765 39479465 446274083 1000000000000000000 231703465 54504038 85614758 56484781 1000000000000000000 374813673 188783324 275765865 222362150 1000000000000000000 669409336 90092237 52952900 71022920 1000000000000000000 668604857 587605343 523759644 207800783 1000000000000000000 972523994 24800972 547607406 936498869 1000000000000000000 852426849 120133052 522808790 647042776 1000000000000000000 655451855 518394887 396507893 233874580 1000000000000000000 387793403 359144 113166753 80222882 1000000000000000000 892829422 738165477 618496597 887031930 1000000000000000000 827171008 451843562 623262593 278321885 1000000000000000000 351589215 177929069 131510254 303102157 1000000000000000000 711722442 426518897 125769966 116756891 1000000000000000000 276183423 6344482 109792671 58890536 1000000000000000000 371590592 200961965 47066405 72392697 1000000000000000000 629802131 253692798 419989114 180544182 1000000000000000000 697513231 56496092 199382889 235924517 1000000000000000000 566443534 324776492 69119200 364188841 1000000000000000000 159980953 23130381 4318369 132238857 1000000000000000000 27661268 12867072 21415765 7470686 1000000000000000000 782773536 703195441 243961760 43846019 1000000000000000000 294480328 30361946 28325040 109161386 1000000000000000000 57106015 34013379 53235486 10200510 1000000000000000000 344254713 311565189 157272163 90366319 1000000000000000000 909776752 296832298 684680105 897795012 1000000000000000000 261638077 138079508 245914826 127562356 1000000000000000000 343009369 38350860 337497548 53861286 1000000000000000000 645912801 142313939 492383275 311906834 1000000000000000000 358097111 265648377 100342177 322833598 1000000000000000000 818430815 174984083 41541434 342622512 1000000000000000000 519448784 175707138 269339339 81598114 1000000000000000000 26920244 24733695 20290505 16557607 1000000000000000000 757029104 201141375 64903900 203836708 1000000000000000000 844658865 604899363 242884786 147316767 1000000000000000000 685951017 669117511 340130442 385377851 1000000000000000000 646236030 384606393 588771121 142066550 1000000000000000000 629139142 401439468 247153366 46527237 1000000000000000000 177706447 106549432 115801976 22295826 1000000000000000000 658667777 216593727 557918044 58872890 1000000000000000000 468873647 156037848 465001423 318238667 1000000000000000000 681664553 65723272 86941077 457970148 1000000000000000000 376571969 136692905 6277734 92372831 1000000000000000000 80181487 6447106 21433994 26330140 1000000000000000000 342110792 238657010 38657188 244160967 1000000000000000000 347454269 115668542 9554263 51725023 1000000000000000000 514884620 166564600 49514966 432365111 1000000000000000000 275292202 245770505 259413813 99272120 1000000000000000000 164553320 142037822 2564263 68880621 1000000000000000000 474692861 126859227 92097872 130111596 1000000000000000000 250831917 82004703 158367245 206717649 1000000000000000000 443048634 423469541 305118554 83691891 1000000000000000000 370702558 243495172 265478945 259238722 1000000000000000000 8149206 7538287 7719488 505478 1000000000000000000 330189569 293892365 232272852 93197055 1000000000000000000 982319582 87709087 696110179 979503983 1000000000000000000 158835194 54254190 144963004 23255448 1000000000000000000 801584389 769364987 323035776 530103320 1000000000000000000 758703593 592435328 711793101 61558823 1000000000000000000 16639891 6340512 8541400 13472250 1000000000000000000 210008370 127069170 55337656 55743154 1000000000000000000 558653817 118531557 534988 480303954 1000000000000000000 656462406 492492742 54748844 200211568 1000000000000000000 114598554 24837541 93162287 97947476 1000000000000000000 719283801 412342010 506025385 458609792 1000000000000000000 70393663 65664722 61503380 29593497 1000000000000000000 491535882 167396992 394924436 453099996 1000000000000000000 63402379 53046847 4234024 4716046 1000000000000000000 815512425 354144929 508985863 58819127 1000000000000000000 874690818 22473595 344357176 623711993 1000000000000000000 939328035 246178484 342075472 317816030 1000000000000000000 770030687 247805786 183553710 440501860 1000000000000000000 512702869 163787274 351402574 25444349 1000000000000000000 66014203 16919197 46517965 3806176 1000000000000000000 70869656 8674513 67803025 23317034 1000000000000000000 724582947 112236589 166748095 573948620 1000000000000000000 444937075 1619145 166107541 131266436 1000000000000000000 596782704 341338475 160045245 562317579 1000000000000000000 670116581 109452901 593681643 644329245 1000000000000000000 915707612 327849557 245059286 429028812 1000000000000000000 403420224 391489530 163267170 39219798 1000000000000000000 450173293 269776683 32482985 243850398 1000000000000000000 487746663 65626465 105766580 234093979 1000000000000000000 464519612 16187739 5831541 408450247 1000000000000000000 618425557 169192033 424651159 400255015 1000000000000000000 491862345 129262935 347765973 188806662 1000000000000000000 350866528 44188865 198852265 150783348 1000000000000000000 105585680 96992104 58614850 72611839 1000000000000000000 150015526 4223095 44003056 44265387 1000000000000000000 763815607 506450340 159793993 97582737 1000000000000000000 562162723 536581692 446618926 179602560 1000000000000000000 319081864 303853784 95615833 153534962 1000000000000000000 281898919 55820948 151329399 31986747 1000000000000000000 615009095 575111730 194085193 85088120 1000000000000000000 862540717 136185038 76832293 390545740 1000000000000000000 42872454 30515305 7294023 38590806 1000000000000000000 448984468 349629331 278732387 70830194 1000000000000000000 758164519 592004734 507616683 195080881 1000000000000000000 683208277 479217262 246332735 350744481 1000000000000000000 268502630 248519272 172811948 209965786 1000000000000000000 352186991 274906942 265559778 235745770 1000000000000000000 568599030 514955285 41904260 132203774 1000000000000000000 501488968 207026763 71735320 55205831 1000000000000000000 117093185 49894756 87124882 82640121 1000000000000000000 794450602 311373527 203356832 166354283 1000000000000000000 17302189 4589236 210799 1907826 1000000000000000000 108082848 7954879 74695709 1700249 1000000000000000000 431983213 237994368 240975772 149862489 1000000000000000000 926569278 554077173 482824867 664587152 1000000000000000000 411010369 374767599 1805220 324517241 1000000000000000000 967860543 906679227 539210895 725764809 1000000000000000000 457131555 319262654 233948960 303072113 1000000000000000000 907582443 432626057 670205670 228869630 1000000000000000000 489165208 374040574 129706775 487730908 1000000000000000000 552628264 356829499 500784246 218735889 1000000000000000000 240590936 136360610 66848831 68645417 1000000000000000000 969018537 274442978 405822004 773383083 1000000000000000000 210002016 144718387 202265081 31523607 1000000000000000000 717099198 710743520 542450048 526642747 1000000000000000000 585200608 340371877 38498783 62657172 1000000000000000000 331599860 278757493 127060722 109842509 1000000000000000000 3962328 2418855 2147825 1454396 1000000000000000000 852522533 829474082 284410062 106592187 1000000000000000000 132715079 53400674 108468482 45831328 1000000000000000000 11463290 2081011 9469169 6583153 1000000000000000000 266451403 133320628 93644087 184765214 1000000000000000000 494651624 16285787 95259152 121524358 1000000000000000000 127030212 72618625 9733086 5143364 1000000000000000000 872126921 11913988 244437157 187390520 1000000000000000000 348920733 139512840 277196296 83582417 1000000000000000000 601699049 143399852 289664659 212389284 1000000000000000000 985720580 441170621 242680504 464499924 1000000000000000000 762622541 704313132 241853129 666647488 1000000000000000000 871914732 200629367 658753614 201725858 1000000000000000000 205937620 93847030 38465325 66576352 1000000000000000000 763246293 173596280 487454169 113987458 1000000000000000000 825771513 237541218 509514768 772061265 1000000000000000000 26133693 25148345 11610367 16418035 1000000000000000000 880752577 146021193 561309956 191262597 1000000000000000000 787091482 775321963 590435845 46834772 1000000000000000000 960577637 88312548 819130185 426243750 1000000000000000000 338379865 55625660 319341183 52614814 1000000000000000000 223303354 84969021 197336511 26123768 1000000000000000000 909296437 608994543 751919509 251005029 1000000000000000000 980150914 573397499 835470608 428862909 1000000000000000000 648288639 139302823 141683388 605328768 1000000000000000000 814769603 470089701 704024006 47523586 1000000000000000000 367740306 140921031 329025276 362289480 1000000000000000000 558903840 472587217 85076891 405393166 1000000000000000000 715367948 545134381 643745909 274917689 1000000000000000000 50107826 6200134 37493351 1249374 1000000000000000000 590487621 526488334 488433980 148998768 1000000000000000000 306372166 16920722 97727812 293870613 1000000000000000000 967169631 171675508 359237171 928965441 1000000000000000000 362997048 270663526 119456723 183905462 1000000000000000000 964741776 559510267 250441845 307208660 1000000000000000000 525406812 220929732 112136470 492859148 1000000000000000000 891145786 105987232 577223636 783371182 1000000000000000000 681511487 288366724 369652173 162344406 1000000000000000000 668842447 516665290 535989817 167236928 1000000000000000000 887598182 55472994 547758635 378012135 1000000000000000000 671060439 264594846 411619973 616441822 1000000000000000000 553145461 444196814 86871834 410503618 1000000000000000000 984904068 481244305 12996565 716303848 1000000000000000000 9891080 3363362 3399273 944314 1000000000000000000 68695534 36877001 52373630 54573521 1000000000000000000 390349187 88059945 106068927 114510950 1000000000000000000 807220476 526150971 554794025 7200473 1000000000000000000 483792263 187912609 280329817 127998224 1000000000000000000 614883350 282757551 32625690 257212868 1000000000000000000 268616729 37618885 135938321 248678942 1000000000000000000 29701275 12675991 17191743 16862687 1000000000000000000 594898530 6311539 338069302 215317172 1000000000000000000 674420101 660744853 379112836 457256101 1000000000000000000 98854524 58157814 88116609 9216776 1000000000000000000 127372338 49730744 14396333 43265280 1000000000000000000 984708699 610477618 407948309 367136518 1000000000000000000 218472598 122763169 194341474 170680621 1000000000000000000 971759515 65896060 746400407 553422928 1000000000000000000 847104243 310179597 674360015 798277732 1000000000000000000 825656282 733933072 632127833 766656354 1000000000000000000 629931166 185012651 611764677 495493467 1000000000000000000 393989993 120186016 392769 70895375 1000000000000000000 803386920 61925948 266742254 435054610 1000000000000000000 819080583 84704571 393252250 360252997 1000000000000000000 473205344 254385067 414131202 198465832 1000000000000000000 177766558 99704910 70213866 132679386 1000000000000000000 495923643 274907573 162601030 269024549 1000000000000000000 694519750 535894171 38061798 429267495 1000000000000000000 355787547 196062744 228678263 59052923 1000000000000000000 899910342 422110260 571495123 531335393 1000000000000000000 960877425 31056319 367266101 373405241 1000000000000000000 658939091 576012603 388523152 381752437 1000000000000000000 420863971 386360084 272084324 158536979 1000000000000000000 870325050 378558828 437588407 157145357 1000000000000000000 13609232 9249470 6432490 4217557 1000000000000000000 327955222 12634828 133071905 42347748 1000000000000000000 850776250 839203385 448704110 769137561 1000000000000000000 591768381 488989971 159522998 268961032 1000000000000000000 738576677 475928129 34644243 239432572 1000000000000000000 624619596 46788201 230197344 338612683 1000000000000000000 886432246 340838317 295549203 229893292 1000000000000000000 567889555 555255946 280925451 323165417 1000000000000000000 349657730 223478166 284266256 339670061 1000000000000000000 134079014 9097430 80154223 93570251 1000000000000000000 366174327 171148833 183537075 351937798 1000000000000000000 557111251 160474708 155999593 314176076 1000000000000000000 536325840 403660506 314677571 8908468 1000000000000000000 9146084 8926669 4371306 827624 1000000000000000000 410661638 139658100 381916150 399700476 1000000000000000000 778088986 53414524 109114931 502607750 1000000000000000000 813084278 611039486 505100574 776930438 1000000000000000000 398854439 391784280 190003765 23163633 1000000000000000000 820455820 302161696 82328381 405211248 1000000000000000000 717310626 706909063 88908546 40456859 1000000000000000000 266407320 12395205 167927119 262488795 1000000000000000000 406895762 115980582 78207370 24149688 1000000000000000000 579490453 21062456 251529658 81653146 1000000000000000000 11866164 2649006 6437505 2485114 1000000000000000000 506681314 436587699 111071431 333801637 1000000000000000000 463892837 207358971 176948849 8169949 1000000000000000000 677735314 360150574 284983510 477604589 1000000000000000000 914188155 726370498 355653116 242330029 1000000000000000000 876435650 825214011 121952657 744220785 1000000000000000000 616046326 25162436 568585269 48600690 1000000000000000000 876021284 520077007 749056278 838116475 1000000000000000000 515966988 480097547 433835697 9607803 1000000000000000000 301459880 143539211 253403987 143632353 1000000000000000000 546158362 9016246 316151452 291198792 1000000000000000000 341342407 206505856 127845033 98280125 1000000000000000000 573362933 11534718 292626463 292362137 1000000000000000000 257837112 88977229 42603468 627439 1000000000000000000 700028452 253664612 468745838 477794279 1000000000000000000 602315769 397197293 362027799 79647387 1000000000000000000 501458427 306372367 233888519 124304534 1000000000000000000 826333871 588011893 144176385 800318162 1000000000000000000 245245539 101430621 218550184 75357201 1000000000000000000 270217182 218134875 189182330 249301372 1000000000000000000 757435060 570129571 613698368 289687708 1000000000000000000 382987706 42304112 64281223 6825225 1000000000000000000 985006033 863190275 328740365 875415517 1000000000000000000 429716351 337768227 293419407 55596859 1000000000000000000 943429797 767266727 457062691 562887430 1000000000000000000 353477750 200809241 94817177 344656185 1000000000000000000 328574830 161517396 85725296 76088172 1000000000000000000 144729495 85614915 5066638 29921940 1000000000000000000 530857452 431771216 141495799 20894808 1000000000000000000 382626239 39219975 348882568 41369046 1000000000000000000 232918412 12805072 62985366 223936619 1000000000000000000 344953534 263631588 223663563 24625081 1000000000000000000 636329937 164374473 51385670 481764358 1000000000000000000 697225180 169818610 73421037 197269990 1000000000000000000 184834823 40712005 7364237 173465835 1000000000000000000 827517736 205758093 94661499 767394837 1000000000000000000 47628634 37234549 32797231 19408213 1000000000000000000 791402018 613452925 606797227 487002229 1000000000000000000 117305478 94658002 28491466 90085214 1000000000000000000 609794051 428019272 180189586 597009385 1000000000000000000 323145015 36362292 279350139 194106507 1000000000000000000 567574871 266151213 212811363 20488604 1000000000000000000 866455851 658429701 535193819 511528518 1000000000000000000 352947287 68259604 148429793 325541223 1000000000000000000 260719844 72370980 1887564 56749961 1000000000000000000 727748284 704106148 578544531 262757677 1000000000000000000 398790912 337026014 155228268 179117980 1000000000000000000 440740663 223976656 381016328 133908899 1000000000000000000 702849714 686675360 384610557 165639728 1000000000000000000 941090 112088 460246 800989 1000000000000000000 309347627 72631892 90051481 246638284 1000000000000000000 50933356 17407400 24360307 40759146 1000000000000000000 135801669 63942541 112777418 120318380 1000000000000000000 742002258 326074724 492706862 486804835 1000000000000000000 917680397 526683221 359305469 274909719 1000000000000000000 285414775 185445271 218481754 262431426 1000000000000000000 427601835 127617283 7429067 368957733 1000000000000000000 177560261 58658800 41786920 46488120 1000000000000000000 266963129 236652213 84980361 76295304 1000000000000000000 566661311 39291749 204082649 201957095 1000000000000000000 76639587 58109821 43283384 35870799 1000000000000000000 796344242 92900095 456831902 170362730 1000000000000000000 450165071 154599029 319013822 265698293 1000000000000000000 541012829 470169079 323364697 124469576 1000000000000000000 296751046 120485814 12851956 7414271 1000000000000000000 453111821 79599187 60669142 398145923 1000000000000000000 956986755 707574682 754759808 342502514 1000000000000000000 166719732 120832792 147619264 34290012 1000000000000000000 893441301 270743109 529037659 77072627 1000000000000000000 638820172 202457200 277916206 161482293 1000000000000000000 648786379 122856318 640524097 2120271 1000000000000000000 325590556 129457874 102043513 297727385 1000000000000000000 483490692 283980621 12362937 472850153 1000000000000000000 846648286 48591490 487363377 525940156 1000000000000000000 2086594 924391 766181 910178 1000000000000000000 400888683 302860306 280161999 388692194 1000000000000000000 317335880 307986116 91815272 218254954 1000000000000000000 16985272 8078279 8832558 8575368 1000000000000000000 185216449 164625678 15166597 48191509 1000000000000000000 246107361 136272282 11755529 85955035 1000000000000000000 286837265 31415557 195482502 114430191 1000000000000000000 106725341 51161882 62323931 11084206 1000000000000000000 161438796 90475936 115639268 65095810 1000000000000000000 848600039 717671886 297968576 601058794 1000000000000000000 975409458 214120502 84162744 186467325 1000000000000000000 865369035 270763871 598402220 668656708 1000000000000000000 974754499 158143933 369720576 715455031 1000000000000000000 788205029 45636735 771082125 361823685 1000000000000000000 813688235 628649597 654268392 1133299 1000000000000000000 242970523 214324355 83920695 20789411 1000000000000000000 52219390 17099811 12539031 33717064 1000000000000000000 884888119 297850917 726208587 376350233 1000000000000000000 724576183 261311299 66636360 299609943 1000000000000000000 115741859 89074953 57704583 115326472 1000000000000000000 234270983 146692468 192551196 212925924 1000000000000000000 465757665 333642729 308189937 418564917 1000000000000000000 40951941 17510275 7260694 2729106 1000000000000000000 784720267 24980640 535230430 784136366 1000000000000000000 28190644 14601724 22127118 14594681 1000000000000000000 973145989 698363128 24974207 445957858 1000000000000000000 373583226 104351182 255676558 300182267 1000000000000000000 992989735 225343082 434148380 197382571 1000000000000000000 293130233 70734676 50314877 104907761 1000000000000000000 829144843 14801221 723009405 314257342 1000000000000000000 781636970 686891398 358966434 93045542 1000000000000000000 497444158 380053125 419633190 188725356 1000000000000000000 275047022 160256805 224573671 57702050 1000000000000000000 943601841 31801155 496696077 109005290 1000000000000000000 840520885 2386525 570087599 475058324 1000000000000000000 385053632 156777822 46733414 362116535 1000000000000000000 654642967 492444454 309758578 356270863 1000000000000000000 387046367 197042935 49663067 18806884 1000000000000000000 417505518 300483592 299070269 310798673 1000000000000000000 192559974 112588447 148915808 80195154 1000000000000000000 391593240 197864217 239638337 318506873 1000000000000000000 81893606 44251030 78507399 17600245 1000000000000000000 94088061 76829235 80077263 41757443 1000000000000000000 887475498 664111122 490605017 866622045 1000000000000000000 241366838 97306498 51764990 5778538 1000000000000000000 139139921 109818645 9062635 125969371 1000000000000000000 741674285 282522136 201014708 317059877 1000000000000000000 857431704 314606464 572634716 655421614 1000000000000000000 792695280 543428803 587793616 303339266 1000000000000000000 105889649 69089600 76854120 96596792 1000000000000000000 593431901 174242447 509836222 562222805 1000000000000000000 821354967 252731707 137899862 290388370 1000000000000000000 644818509 36932790 168298577 451034217 1000000000000000000 581030042 577212435 222095797 244415213 1000000000000000000 156870605 33491456 111044103 106155615 1000000000000000000 428973349 300580028 1633305 340138931 1000000000000000000 527343010 151431560 194681189 516869550 1000000000000000000 440820966 12258936 138314529 47252949 1000000000000000000 361396498 56090226 190076352 165597434 1000000000000000000 948418839 195052301 242068891 387336470 1000000000000000000 850597081 688152209 51743061 448411082 1000000000000000000 954616227 245199749 909462441 954482931 1000000000000000000 48183204 38550523 28803958 26023802 1000000000000000000 346350086 173613483 238741666 194816720 1000000000000000000 854782028 277326455 826189550 17685998 1000000000000000000 322135722 50573685 23681849 114228801 1000000000000000000 20985509 12245315 9492713 5706657 1000000000000000000 946929157 290321331 246862538 290308255 1000000000000000000 182193130 136546199 169100442 38178955 1000000000000000000 126988065 13973148 19296778 126634385 1000000000000000000 191449399 16272224 190057587 133363485 1000000000000000000 981728787 931939787 72299247 839284517 1000000000000000000 399480195 42085922 250303897 4592956 1000000000000000000 18498086 2542229 17858641 17435984 1000000000000000000 898872714 862962721 683792223 539295221 1000000000000000000 4966225 2928417 1365644 2545352 1000000000000000000 646308590 21272921 82331407 280663439 1000000000000000000 730681605 577892224 489943650 492678998 1000000000000000000 355463063 64848069 121523672 210155823 1000000000000000000 709752298 627584475 423171910 421678216 1000000000000000000 271010100 221134245 82743430 73682314 1000000000000000000 125447720 17937282 9204961 101768132 1000000000000000000 441668183 1347195 407829134 262654058 1000000000000000000 791238305 583958946 575370073 113957718 1000000000000000000 358190684 81893384 12329010 325202741 1000000000000000000 935866785 169363627 753666068 326647424 1000000000000000000 240511675 198554862 132022680 29143846 1000000000000000000 825764201 510182136 551600067 174846859 1000000000000000000 229951335 147125464 120608133 42077050 1000000000000000000 426219199 291560281 30563297 1922270 1000000000000000000 390888296 252014447 236611606 334878264 1000000000000000000 729084845 242968275 130101017 103749544 1000000000000000000 815492321 550407611 725709266 473331082 1000000000000000000 150276527 50633173 116699569 53667362 1000000000000000000 863025843 298675782 389911131 498512654 1000000000000000000 658921720 240689966 636190339 74217139 1000000000000000000 127052758 15735916 69689406 62036427 1000000000000000000 935774830 811161572 789339159 356213326 1000000000000000000 381532128 162729251 304846987 256190910 1000000000000000000 563909160 373667737 276133840 30474257 1000000000000000000 490837473 449887331 99569080 205008719 1000000000000000000 700608556 523396386 403367616 595901051 1000000000000000000 127689582 44329786 83282632 123818887 1000000000000000000 616454326 496837604 2905306 361103109 1000000000000000000 533035523 19592999 118061079 89900046 1000000000000000000 577611849 209938264 65704292 509778520 1000000000000000000 270906173 132751239 212914033 43521742 1000000000000000000 923758559 434390042 265529253 21535541 1000000000000000000 998973865 288391353 659540190 280951604 1000000000000000000 189601216 103681712 37069849 43593432 1000000000000000000 361697160 312918626 127138165 217695952 1000000000000000000 604381691 345794438 406695697 410406758 1000000000000000000 323115313 270241890 153630789 148215025 1000000000000000000 457252434 270742884 411100342 191119982 1000000000000000000 288378724 153859196 198109225 10289744 1000000000000000000 711030858 605577794 218047936 652820010 1000000000000000000 815372193 620725419 207116848 387479612 1000000000000000000 448090092 397096886 18922832 137891701 1000000000000000000 266666912 170437830 265102821 120040252 1000000000000000000 317151596 138075941 155616124 299725203 1000000000000000000 649658654 36135088 503403384 326679738 1000000000000000000 209574379 181360085 85063292 93401397 1000000000000000000 242418123 134540250 116252461 136393534 1000000000000000000 664860859 649872782 215593140 290428287 1000000000000000000 200544862 128072767 164906075 196285389 1000000000000000000 970970685 13331974 497158082 128979602 1000000000000000000 8323453 2852695 1133049 5209716 1000000000000000000 762520243 323826354 368520193 55320607 1000000000000000000 754460338 363936918 278504009 114953777 1000000000000000000 632778497 41739265 15903504 503187248 1000000000000000000 247643989 143423494 246299532 94502884 1000000000000000000 698991495 25888985 467848272 154003450 1000000000000000000 885837976 741474588 158579718 418567150 1000000000000000000 729844438 516481766 337761583 571032033 1000000000000000000 365165805 102528756 85373406 211917086 1000000000000000000 466353939 100081911 254251927 373946026 1000000000000000000 166609571 90845835 24167478 84022007 1000000000000000000 292997357 231798373 109916336 57728447 1000000000000000000 446093233 429978417 182085806 211752633 1000000000000000000 292681503 14592357 37202736 269654339 1000000000000000000 874261600 367709219 767309467 490761478 1000000000000000000 652620031 134941638 473535878 352051883 1000000000000000000 584445057 57994536 276373238 359676110 1000000000000000000 828575941 276044447 612362795 592233728 1000000000000000000 187836210 64647366 38165423 77545126 1000000000000000000 666541068 556917390 641472406 527299147 1000000000000000000 497386701 65984068 54755508 303846775 1000000000000000000 101776726 47536605 9562813 50933162 1000000000000000000 935476805 175043389 145922013 555155300 1000000000000000000 525243003 62728655 148545960 296591157 1000000000000000000 795537913 535642240 641739085 635544956 1000000000000000000 948164609 483465723 900738142 593384128 1000000000000000000 554277675 100717139 525036457 245639871 1000000000000000000 696620026 235924834 27622022 620351055 1000000000000000000 753699216 62702616 271848105 599625668 1000000000000000000 2517136 187286 2316873 598074 1000000000000000000 362987301 135427438 155136931 307817711 1000000000000000000 765525352 732668973 475949491 331284730 1000000000000000000 841611866 362383466 331285856 762260238 1000000000000000000 46312370 9245815 46288747 41943343 1000000000000000000 910889449 600636033 496115268 769849820 1000000000000000000 11297549 370862 3279944 7005158 1000000000000000000 886156799 295389672 590612483 693695008 1000000000000000000 574872286 315613177 255073699 391166552 1000000000000000000 669060821 73868554 489554927 453341513 1000000000000000000 827204158 727774298 718249013 430904007 1000000000000000000 146702767 67112586 82495034 67178041 1000000000000000000 278786112 74632573 94975935 166647019 1000000000000000000 152230180 83097774 47591583 123599749 1000000000000000000 72588227 61136554 2191520 68643370 1000000000000000000 392463259 367334988 111415594 105470833 1000000000000000000 840445290 468404387 207015286 641393622 1000000000000000000 944493105 158570263 82527942 484213418 1000000000000000000 660440765 31189492 545059012 548066371 1000000000000000000 447464993 417966053 275027054 275781767 1000000000000000000 212921517 193352560 167511067 102377260 1000000000000000000 862362948 680934912 72347134 575711906 1000000000000000000 580968139 352114096 506531055 451735850 1000000000000000000 591426200 401886123 60469666 71836370 1000000000000000000 34087201 21710128 6968024 3775932 1000000000000000000 250171594 223676906 35924036 174345572 1000000000000000000 541127913 374420040 285174058 4620522 1000000000000000000 566918075 398800533 41990853 448776078 1000000000000000000 117260964 109130188 69317172 63933982 1000000000000000000 943919297 813523568 845051060 854098146 1000000000000000000 4276736 4027869 2335691 3422039 1000000000000000000 497010392 217056802 213327437 77910432 1000000000000000000 528358566 431072374 296039096 2531980 1000000000000000000 666689004 282550092 146883103 519377600 1000000000000000000 707749751 67349805 102442607 515747304 1000000000000000000 801641559 69213560 493782662 499439937 1000000000000000000 2467955 555402 2092773 356147 1000000000000000000 498327765 476017090 116513476 189868057 1000000000000000000 589046770 541389386 8038849 40401813 1000000000000000000 204342048 130673517 36841385 18326574 1000000000000000000 883225990 168366472 230462122 837122701 1000000000000000000 310350865 98776168 19944434 29660101 1000000000000000000 443719665 266677985 268469623 313758005 1000000000000000000 966176437 845555609 797749568 919564801 1000000000000000000 262947699 150405487 16988986 140622912 1000000000000000000 622109364 61571296 254933163 3096844 1000000000000000000 167488362 102105184 138790041 28964608 1000000000000000000 137840362 4122487 52992460 21977990 1000000000000000000 533639118 519318901 207171296 419171516 1000000000000000000 135707774 32822721 77463965 130177835 1000000000000000000 70470328 67598662 56438898 68226593 1000000000000000000 902006494 631176255 269133939 118347568 1000000000000000000 541400694 307408390 441014256 273836477 1000000000000000000 824907364 695083350 464379360 520522690 1000000000000000000 272981294 113665936 30301952 269897302 1000000000000000000 322862688 118812300 171366821 263014038 1000000000000000000 529076789 38495601 186353812 422038668 1000000000000000000 428840442 205064191 195474032 116133134 1000000000000000000 437415913 189043358 391410546 397261619 1000000000000000000 417797370 178585502 153598467 34907941 1000000000000000000 437655432 243057847 323650136 93413645 1000000000000000000 971142741 955453601 667609398 961923091 1000000000000000000 497602416 196313220 446115532 373260730 1000000000000000000 488476107 226847168 177733089 97784445 1000000000000000000 507700934 18490655 59501448 133176017 1000000000000000000 820023027 398579005 645490392 724712488 1000000000000000000 162123461 76190406 123360592 138042892 1000000000000000000 336179165 170644382 193758535 249039241 1000000000000000000 673175639 662640630 641106439 161925284 1000000000000000000 381309520 366843769 327045148 47992087 1000000000000000000 664633310 276728760 291071836 458120703 1000000000000000000 484462575 49575317 475261251 244891164 1000000000000000000 977951346 779914479 282611392 767511032 1000000000000000000 981189867 729893162 735610127 302917455 1000000000000000000 587355863 250025830 7553215 265463245 1000000000000000000 638167194 474036122 393274205 299121406 1000000000000000000 656235026 611795689 86884461 166061782 1000000000000000000 776071231 4545719 652945354 205404877 1000000000000000000 239923066 81646083 167332578 82365703 1000000000000000000 967336716 304045048 64365212 892808692 1000000000000000000 180042488 172153191 71233123 15879182 1000000000000000000 254547927 107634520 248665241 207655519 1000000000000000000 734031661 359613511 506740357 448140176 1000000000000000000 130141056 56343702 74356822 79895235 1000000000000000000 63178306 45460260 43230139 2937612 1000000000000000000 643963703 385365670 413227880 545190234 1000000000000000000 907772962 893453217 446175646 26823074 1000000000000000000 36611430 8410632 32951798 30043787 1000000000000000000 5378847 3338059 3998681 1617712 1000000000000000000 618996313 202379957 586198165 508093275 1000000000000000000 278333158 16725338 239138520 147499157 1000000000000000000 618527264 23758238 469855730 181985531 1000000000000000000 69237386 51033001 4095026 9916180 1000000000000000000 730085481 53107844 535928101 388966140 1000000000000000000 420924499 253166782 357784126 138768462 1000000000000000000 797327189 513983549 126577611 277854472 1000000000000000000 810165762 345447355 792970366 102553279 1000000000000000000 422901091 305420523 350444344 375365701 1000000000000000000 571878324 283524213 37026038 13557230 1000000000000000000 191025406 99913861 39085253 177631931 1000000000000000000 854085544 774515245 415654944 265644976 1000000000000000000 328093779 196805425 197507637 99518958 1000000000000000000 659670972 133086582 22443338 653418960 1000000000000000000 124053507 32648933 44567971 12813987 1000000000000000000 525629720 176430544 34845609 342935255 1000000000000000000 495874768 332076831 360715782 92079992 1000000000000000000 833207354 94790186 38214035 677537475 1000000000000000000 519026622 342737018 88597536 397171605 1000000000000000000 134309298 35609622 76244213 3226731 1000000000000000000 504189466 260559750 402294232 477403952 1000000000000000000 78468480 8274448 54888459 56950351 1000000000000000000 110761147 81827521 10183351 53148788 1000000000000000000 769037488 575728855 314042891 531154822 1000000000000000000 758062613 388472215 256113451 354017018 1000000000000000000 639282702 61107635 337908644 151480782 1000000000000000000 878381703 494776768 639606443 803054340 1000000000000000000 63210211 35718571 55127297 56588160 1000000000000000000 410245503 236649725 150348143 381659739 1000000000000000000 654935760 465282705 450211670 592729050 1000000000000000000 951728036 36325195 118326546 145778140 1000000000000000000 279145586 238606917 242553918 113502608 1000000000000000000 797524925 131402453 204186502 428012781 1000000000000000000 973317681 951532157 611110827 250680887 1000000000000000000 987918808 392488950 730793663 795385469 1000000000000000000 386653248 113106955 52808755 66926608 1000000000000000000 131168408 47824186 92225994 126743189 1000000000000000000 188559880 18147134 10912306 30333187 1000000000000000000 370279001 251845255 205480901 133161875 1000000000000000000 645713874 159620323 249891461 312253617 1000000000000000000 534836707 48866968 138496562 21642484 1000000000000000000 612114151 201750688 557731438 342205071 1000000000000000000 19275816 3777438 13550665 4387129 1000000000000000000 379079830 180922274 276376185 60458101 1000000000000000000 401403710 81337135 212553659 350584119 1000000000000000000 759041809 77940668 155491579 506293560 1000000000000000000 203985373 37310788 32062512 117404328 1000000000000000000 302082402 58469586 69368601 58641288 1000000000000000000 346765912 326107246 234071372 99039132 1000000000000000000 608268995 385609137 460184757 327726284 1000000000000000000 621975621 307921843 21661081 351789433 1000000000000000000 51489530 11373326 36326983 21686743 1000000000000000000 570903890 192196878 467951047 201312957 1000000000000000000 25741103 24889256 3597183 3248507 1000000000000000000 235079741 6263078 204760998 224386199 1000000000000000000 269868107 174489871 62276454 7102964 1000000000000000000 159525650 122685904 138237060 84313185 1000000000000000000 575051469 422540756 481479269 104231258 1000000000000000000 594652573 540067613 506201500 145839956 1000000000000000000 775600713 275115372 153615813 233376946 1000000000000000000 931633554 472789629 77458482 355248246 1000000000000000000 440642179 352625305 361575729 94062384 1000000000000000000 506702763 135649433 44410595 185865594 1000000000000000000 900212979 224478245 745834158 552894428 1000000000000000000 391620220 384492597 298755546 296644726 1000000000000000000 198871547 7567939 23541091 60835811 1000000000000000000 405029393 240842950 224626389 21175538 1000000000000000000 371747778 15767992 19027793 130457647 1000000000000000000 731423362 632254750 593469774 288096106 1000000000000000000 172242832 159267921 166583191 26825178 1000000000000000000 478547081 140016395 178900797 148201731 1000000000000000000 353775327 185571422 92701049 62376665 1000000000000000000 323701501 239485197 81855848 102738282 1000000000000000000 524896268 133909768 147540169 322171216 1000000000000000000 283846764 56177679 142325156 191256800 1000000000000000000 69945698 5664336 51324749 44839419 1000000000000000000 982000080 832275506 367871790 121706033 1000000000000000000 47865701 36081443 40823068 1903624 1000000000000000000 215368288 49238387 168696852 20282298 1000000000000000000 593306627 333848918 504362847 86452166 1000000000000000000 319497164 75619437 61130654 309559213 1000000000000000000 920042093 56963707 258557727 607165125 1000000000000000000 363334712 218697768 14739240 96572941 1000000000000000000 512951029 419458170 195073779 293984127 1000000000000000000 997265007 910922730 770303054 392578216 1000000000000000000 407789318 360623922 338700937 330255467 1000000000000000000 850233888 202748805 496721285 334950011 1000000000000000000 280396562 146647226 155117014 186165331 1000000000000000000 538520350 80534798 10727195 344269545 1000000000000000000 467000972 323052324 193369321 7143954 1000000000000000000 133321606 607841 62041374 113903173 1000000000000000000 415670784 109524652 225195061 103817967 1000000000000000000 713849775 482415492 568028811 355620511 1000000000000000000 145137902 97673961 12175336 144385981 1000000000000000000 562903201 8397348 90521038 200730912 1000000000000000000 69705545 39916450 29506734 63089046 1000000000000000000 427652696 402835814 330114134 142487880 1000000000000000000 259889247 14572963 126024522 71258777 1000000000000000000 592343292 240632450 317036033 452739344 1000000000000000000 672385795 316512170 643801354 54183194 1000000000000000000 84034802 1770061 42709525 9059115 1000000000000000000 738075253 622337900 187515756 118993913 1000000000000000000 54012060 21455759 32059924 35443709 1000000000000000000 149479724 19913131 103843672 115668129 1000000000000000000 651412448 191034169 224395476 647279125 1000000000000000000 742960356 698004601 242676305 633290209 1000000000000000000 806212439 502021574 689125623 333206655 1000000000000000000 769078272 416917531 359042194 340927277 1000000000000000000 883779350 540946410 759495950 759824287 1000000000000000000 356906662 25911574 87955356 299790141 1000000000000000000 922582371 841351142 190805178 520766453 1000000000000000000 818113049 427860310 755146545 300978037 1000000000000000000 365979051 35174783 70670771 18629110 1000000000000000000 241436304 83186505 132391153 4901611 1000000000000000000 443178569 403838592 42568843 403372859 1000000000000000000 417625016 384722355 53680471 176532463 1000000000000000000 498820264 94612186 458454802 271326827 1000000000000000000 694636462 334233099 575689995 173559255 1000000000000000000 78944082 2691858 38641767 34433211 1000000000000000000 202725133 46830931 56718829 158817665 1000000000000000000 210723995 100001169 197374143 132575472 1000000000000000000 391005968 14208091 149152566 206168145 1000000000000000000 798100176 199157946 489226511 624188493 1000000000000000000 755448554 55540701 9534482 512286107 1000000000000000000 665489912 414307918 62840851 120673974 1000000000000000000 303527135 80748591 72071947 225344023 1000000000000000000 127231096 120450392 50485926 85046890 1000000000000000000 644283710 417905695 614338526 145912474 1000000000000000000 870514326 182730600 730977234 106880559 1000000000000000000 173754941 29664095 73612415 3304251 1000000000000000000 332591119 231084156 317177921 278425133 1000000000000000000 188139417 184023788 23309282 78755638 1000000000000000000 798863538 464365578 493367509 83356962 1000000000000000000 228902548 108791255 177471246 213594675 1000000000000000000 942989342 326661373 28618485 638624112 1000000000000000000 611869460 397866009 24083026 460718767 1000000000000000000 175653223 118424456 142735804 96811425 1000000000000000000 408926573 29187458 318828720 86978370 1000000000000000000 139520012 78465073 77137064 89178309 1000000000000000000 541221283 116832387 325586247 305842530 1000000000000000000 58806375 2639377 29023641 56608264 1000000000000000000 518887885 429645767 9297429 120127416 1000000000000000000 970836465 674257898 7707855 200570069 1000000000000000000 938191147 131405080 809936794 327271663 1000000000000000000 297756724 224279818 234986726 165660246 1000000000000000000 704015584 290127927 386528766 455164061 1000000000000000000 947057375 674415043 554943751 485014436 1000000000000000000 319527031 66967394 251703656 208704811 1000000000000000000 546137779 220439383 176809147 183552062 1000000000000000000 224639660 137851192 123304568 134170002 1000000000000000000 379366731 9209080 220232221 5712125 1000000000000000000 934852115 280047188 272023699 79498824 1000000000000000000 179170840 114317369 63265667 113943562 1000000000000000000 915267241 776897771 831350717 539477213 1000000000000000000 533587027 257120679 39167031 41218466 1000000000000000000 368309621 264662396 135976077 244870070 1000000000000000000 43449175 1558842 7550745 6196224 1000000000000000000 635183477 236806948 556547662 384015482 1000000000000000000 154629028 77431697 146591677 64383313 1000000000000000000 288192154 239932326 172419544 27835717 1000000000000000000 616191189 501984276 139384593 521275931 1000000000000000000 996310620 657410974 544577768 596561558 1000000000000000000 35110929 33806642 15407278 26180977 1000000000000000000 388828850 238260259 309627457 2193707 1000000000000000000 993709743 337972431 356279397 112138929 1000000000000000000 765118299 498415386 144834457 73503602 1000000000000000000 496163716 333878312 294003311 276501526 1000000000000000000 347734823 261451803 317905634 163597133 1000000000000000000 31333404 20147289 14543402 1990368 1000000000000000000 869462180 313074668 249723416 228665287 1000000000000000000 527392019 121243283 173379235 102015457 1000000000000000000 803643927 678952257 179201569 786140453 1000000000000000000 343544715 181981198 214919693 231626862 1000000000000000000 129800809 93212473 12457939 84517351 1000000000000000000 886168133 522787503 362770106 389532571 1000000000000000000 720373638 122554010 382320154 470028039 1000000000000000000 333044937 37402206 179234436 170876733 1000000000000000000 254293904 103335418 17096318 105384899 1000000000000000000 340047438 288636620 26668578 197663356 1000000000000000000 763921844 134190127 151195054 713969926 1000000000000000000 690774517 299255773 49039589 613500876 1000000000000000000 710327189 403435852 686872424 100130280 1000000000000000000 998059186 513040855 693087750 957010303 1000000000000000000 860475074 408207250 513481645 657921763 1000000000000000000 778761074 661639883 455419740 5162391 1000000000000000000 643099223 432114586 491659672 92908430 1000000000000000000 221937588 93672640 204274635 184535871 1000000000000000000 624729682 523409872 238674772 208570268 1000000000000000000 622594697 593492996 138967551 80363362 1000000000000000000 616060400 334277463 120487623 476856650 1000000000000000000 372458577 106546411 191397869 88140594 1000000000000000000 653129011 84636124 193319739 330877674 1000000000000000000 268994640 227323292 87197994 40388968 1000000000000000000 628610157 414343168 120689162 266363908 1000000000000000000 976241155 16488328 119919146 417287851 1000000000000000000 447244608 212989857 429198919 169633956 1000000000000000000 680804856 201777543 265160654 656157422 1000000000000000000 268237763 201424875 247723248 39298455 1000000000000000000 978654745 276279037 831449623 205157348 1000000000000000000 212680792 136641566 166429891 160372326 1000000000000000000 383572827 365702003 70757886 93515458 1000000000000000000 716479159 711631855 159020499 626667518 1000000000000000000 535058575 465885727 321085680 123106279 1000000000000000000 551455046 485786883 447331337 130117286 1000000000000000000 851297917 24886247 401817640 529487164 1000000000000000000 511954879 194278207 6802984 99144650 1000000000000000000 895574459 145042536 567721634 104094121 1000000000000000000 413848322 164036079 60822597 187854698 1000000000000000000 821086872 573442548 796760022 490632686 1000000000000000000 401667563 110764298 89760576 168550042 1000000000000000000 357602472 328479136 206230445 345806964 1000000000000000000 656191247 573205543 441344580 113564483 1000000000000000000 571225668 258144134 114138307 408225420 1000000000000000000 322495712 218533553 213800458 155064791 1000000000000000000 890129871 614585070 271035887 225440818 1000000000000000000 642368140 619263952 527363225 563393589 1000000000000000000 556915364 494083221 192030553 218636449 1000000000000000000 351601581 103002131 8947571 284873684 1000000000000000000 446718393 176121193 338134936 197259162 1000000000000000000 456138959 34295467 82288859 263473871 1000000000000000000 387421491 100804101 281468932 184125320 1000000000000000000 676184567 592310025 496769459 533594016 1000000000000000000 46056760 21957352 13214459 40049703 1000000000000000000 419443477 287925323 112280840 351958429 1000000000000000000 967641488 871562841 701500678 663509858 1000000000000000000 467377643 460210353 250090856 250059290 1000000000000000000 584091179 435722271 137527062 83433150 1000000000000000000 377819102 370660625 353564973 271127640 1000000000000000000 579515010 108438028 543000991 49902701 1000000000000000000 907913505 801919710 668800281 771462862 1000000000000000000 943131929 573651800 292746647 621548587 1000000000000000000 269929439 10190620 102425433 118975287 1000000000000000000 898290729 233953919 567022491 402088735 1000000000000000000 427395800 120946143 73712076 365326825 1000000000000000000 496373020 258374144 51257211 428597365 1000000000000000000 739847662 363441136 542974138 737740197 1000000000000000000 657916086 386854333 554742914 628001361 1000000000000000000 948421108 510088321 642316588 98893137 1000000000000000000 347274189 5319337 10639313 204980683 1000000000000000000 51074763 15503348 39673290 20102692 1000000000000000000 144680164 24191443 102437704 19378847 1000000000000000000 511680485 26812085 81033069 303370724 1000000000000000000 622241699 549385298 480148045 139543035 1000000000000000000 146735952 90769922 49868206 114249181 1000000000000000000 188565812 136046835 177863036 83736179 1000000000000000000 707834393 387373748 155183234 504520816 1000000000000000000 799088148 653846536 454463794 568073538 1000000000000000000 42512812 18308172 23546126 27819825 1000000000000000000 711461103 335486335 491662868 536073457 1000000000000000000 208478665 7949066 25718655 57906338 1000000000000000000 258463527 21616753 69948172 122033849 1000000000000000000 614641269 148523997 541069777 395385270 1000000000000000000 490854828 373740695 406112749 374166565 1000000000000000000 388654419 218380452 143844777 94625417 1000000000000000000 881262045 325771448 738372553 864795613 1000000000000000000 817051947 73628636 233908934 88624962 1000000000000000000 70960571 25161917 24499218 54106899 1000000000000000000 242762301 128776464 211475141 192800961 1000000000000000000 489935666 77575964 80307648 218272167 1000000000000000000 843380687 154651400 107813187 77104563 1000000000000000000 229737114 216028625 105987097 159048538 1000000000000000000 733067622 338288510 409767740 395887541 1000000000000000000 718027953 661284341 80542723 465728279 1000000000000000000 278533174 29425150 25444059 181864696 1000000000000000000 640484397 229741498 278839325 571347699 1000000000000000000 392957564 232851404 222811855 226406794 1000000000000000000 260042222 128161323 66052307 201524174 1000000000000000000 505165797 235187976 3561200 453881498 1000000000000000000 37941462 4131897 6619817 12171355 1000000000000000000 780506060 705335153 57512983 435644085 1000000000000000000 778658841 266369815 775395626 269243662 1000000000000000000 717476075 144114829 206001840 428196206 1000000000000000000 858848483 156672036 585098623 57868516 1000000000000000000 862300584 289268241 692766976 487328350 1000000000000000000 556272612 247156256 259114260 219066099 1000000000000000000 390582652 252728740 295390052 288936286 1000000000000000000 427365056 315777632 322244880 106645150 1000000000000000000 910777045 871710947 391852323 46849235 1000000000000000000 292092551 246271972 130596987 142910182 1000000000000000000 668328257 150632877 667579145 69319484 1000000000000000000 398976468 22879020 143295535 355185000 1000000000000000000 867811481 418530731 2220151 592909251 1000000000000000000 252822474 141141909 136807514 9993115 1000000000000000000 528393054 265715376 351980346 327575247 1000000000000000000 156776262 84327869 113149644 104688299 1000000000000000000 239443981 63797296 67120216 149640277 1000000000000000000 826921040 572894856 700455244 514578770 1000000000000000000 676832362 340595833 310888269 655660532 1000000000000000000 38547285 36956262 4022747 14146878 1000000000000000000 668796826 312923269 225340092 452576948 1000000000000000000 869261511 248978090 465640272 591479104 1000000000000000000 541645572 438839084 157243654 486084326 1000000000000000000 970027373 485322623 477591879 193535551 1000000000000000000 786989832 311901245 517543691 695524296 1000000000000000000 647931628 327562302 130954706 520162999 1000000000000000000 873243953 797665601 281142162 629674378 1000000000000000000 705361376 448147512 401184158 660450246 1000000000000000000 401202972 201205950 205559159 181694975 1000000000000000000 172002468 96125334 19376035 21658451 1000000000000000000 322902187 181042573 23864305 262612825 1000000000000000000 716676092 495537052 310208747 367598435 1000000000000000000 859014853 851005060 526298782 647635452 1000000000000000000 221456752 217817736 214251217 161002059 1000000000000000000 203599286 43373217 98140091 156819916 1000000000000000000 354676635 196342970 54427392 88284329 1000000000000000000 901936825 315340119 429441570 121865842 1000000000000000000 275822260 76905638 176667167 220148603 1000000000000000000 733202602 491731703 127423578 7559363 1000000000000000000 341526952 229872870 167399713 149546049 1000000000000000000 332304520 193650000 208486143 70627049 1000000000000000000 355834765 200863738 156106988 337666617 1000000000000000000 595308805 440183418 582680020 339763311 1000000000000000000 500346854 174803316 324598680 488696691 1000000000000000000 434809456 70569356 37913612 393996711 1000000000000000000 58773370 47584375 32842162 12270258 1000000000000000000 487421958 447761595 267238725 380678747 1000000000000000000 855645466 227283639 688106626 490319753 1000000000000000000 922370160 30380598 811795407 440181272 1000000000000000000 719397447 138358982 324228808 566428388 1000000000000000000 143084288 32153988 28601619 86727075 1000000000000000000 827452235 394513671 434121805 216647886 1000000000000000000 304725795 210899985 69694654 244170762 1000000000000000000 40197160 32091234 27425370 14684080 1000000000000000000 896873759 807150018 852313392 854119133 1000000000000000000 568733506 182098036 277817480 405939711 1000000000000000000 499778759 495168986 160547244 225534784 1000000000000000000 696899244 210353249 570941870 660107303 1000000000000000000 540939781 388842998 408089399 472908007 1000000000000000000 98994011 86853595 27598736 56100591 1000000000000000000 522365504 237454239 8652702 149081860 1000000000000000000 466158727 30931085 59275436 437644725 1000000000000000000 199242225 58132270 142715533 20149006 1000000000000000000 581163915 8599242 189026479 40195246 1000000000000000000 507300923 94140721 449987149 239472460 1000000000000000000 228486574 85406345 69664566 44419970 1000000000000000000 450428954 76262368 333337639 443437197 1000000000000000000 19853625 14042345 9730198 7888216 1000000000000000000 815800329 292276298 246390950 263090424 1000000000000000000 516936755 160853945 9106432 78038942 1000000000000000000 192775494 145162619 9383254 16056761 1000000000000000000 831500330 282077535 324190299 66885031 1000000000000000000 337503420 42822253 265435066 317751377 1000000000000000000 114949075 29240628 101307886 32757120 1000000000000000000 2403509 2283085 1779017 817353 1000000000000000000 113225496 12109700 103251513 19140134 1000000000000000000 616156767 22560657 505868676 347841050 1000000000000000000 284048647 177380730 141313276 69347147 1000000000000000000 711577941 382681149 611774583 163903894 1000000000000000000 304500232 282521933 204249617 220850789 1000000000000000000 20551952 14805840 6162955 2875805 1000000000000000000 269195318 110422543 207032898 254105278 1000000000000000000 509805826 12227955 107703708 460338552 1000000000000000000 729936155 342752933 486956163 633943305 1000000000000000000 693677253 212649196 245018431 535711022 1000000000000000000 160050583 73817749 52479951 133358521 1000000000000000000 174967154 64169287 113759818 7251551 1000000000000000000 241618849 109575914 212224086 218142776 1000000000000000000 848885008 649399391 547868897 581703393 1000000000000000000 604750278 516750697 494609171 490210485 1000000000000000000 36639487 17125693 7334869 6208533 1000000000000000000 189582447 4982490 27272137 154433439 1000000000000000000 933251766 526664006 430778138 96912005 1000000000000000000 988743486 92618081 575912264 381892242 1000000000000000000 930783028 731915552 198511517 854256716 1000000000000000000 988534810 300401796 531461946 387161977 1000000000000000000 480068409 103212250 159740848 159211245 1000000000000000000 786380041 92215577 678989122 120202327 1000000000000000000 241043130 214030433 209179986 146729508 1000000000000000000 783162290 710561284 62024283 342668879 1000000000000000000 881395411 388864697 552907803 842150566 1000000000000000000 160744780 22138030 78696209 94717898 1000000000000000000 954352084 270740969 461541981 663642006 1000000000000000000 746000653 167343478 203012591 447794069 1000000000000000000 339663338 270485734 57640820 63097802 1000000000000000000 578242675 246492149 244124477 304001120 1000000000000000000 577834189 261075616 357116619 410070458 1000000000000000000 391490389 233320556 309473129 288510312 1000000000000000000 983978778 734710887 882688757 844369807 1000000000000000000 57922642 12412417 48138198 44058249 1000000000000000000 360730021 316663371 289498459 290655843 1000000000000000000 996367328 670534136 652928207 362408157 1000000000000000000 795540370 518560170 242148069 488030031 1000000000000000000 56711683 51650459 14270880 34220614 1000000000000000000 855005839 845570361 606557453 116805861 1000000000000000000 650813084 168426849 414082426 592494442 1000000000000000000 302138985 87080284 256884040 215163736 1000000000000000000 294327744 256832070 238593625 32666423 1000000000000000000 110354402 97901745 89168920 26061092 1000000000000000000 593040637 162087529 175304084 169170064 1000000000000000000 409438162 272777988 352487759 201474310 1000000000000000000 127460333 121742041 24016724 44340354 1000000000000000000 418750961 310308446 259029844 81857818 1000000000000000000 375537094 188438471 188374419 231799982 1000000000000000000 424780868 130729562 159543194 197679731 1000000000000000000 395810065 117732080 214630939 209344962 1000000000000000000 785992647 341720743 651545151 592993927 1000000000000000000 709728222 11623578 41317759 523270797 1000000000000000000 783502951 121049529 421087902 491909293 1000000000000000000 191989136 91709930 134408343 127007906 1000000000000000000 274513835 139926058 78092942 203077793 1000000000000000000 569989670 224283695 64628495 95464503 1000000000000000000 818061246 168786214 639531599 108892492 1000000000000000000 280604563 122809092 228473786 225076853 1000000000000000000 268132853 255372937 159935225 55825086 1000000000000000000 1355475 340422 168548 956179 1000000000000000000 264916613 202654798 79192114 124293470 1000000000000000000 818564872 399762070 738102387 621700949 1000000000000000000 579619167 409636630 136697417 417242580 1000000000000000000 862083078 19273717 849796025 340508023 1000000000000000000 26169035 25623866 5696236 16902278 1000000000000000000 210734 15908 66093 103414 1000000000000000000 741388976 231028539 166726366 350977370 1000000000000000000 104490541 60386499 7285305 44542384 1000000000000000000 29320732 15886840 13270708 13044153 1000000000000000000 475960181 293680880 67594840 266073550 1000000000000000000 603885049 219457909 344813551 530290507 1000000000000000000 9976388 7830185 24846 4190837 1000000000000000000 207367088 177039541 1966496 136546586 1000000000000000000 738453398 517043492 703176698 660614045 1000000000000000000 25336357 6360739 13950769 22805669 1000000000000000000 168934364 120975930 45278808 145877452 1000000000000000000 166950203 44656828 127524295 10350222 1000000000000000000 718620343 351543368 28746104 321035059 1000000000000000000 797003471 171373999 616607393 5077079 1000000000000000000 219902849 8130370 163669863 16478028 1000000000000000000 816297187 428286407 340762167 386251520 1000000000000000000 213756348 57189175 49861880 12302098 1000000000000000000 587605280 21113710 261208111 61532349 1000000000000000000 442981920 384905489 305359617 178193439 1000000000000000000 76207708 51253641 24082129 27056919 1000000000000000000 37307325 5277393 3182143 15250196 1000000000000000000 972661117 887131060 441479502 835222165 1000000000000000000 948537982 86046135 460706317 528734526 1000000000000000000 888693209 428336574 625762053 864699787 1000000000000000000 739465863 521530174 680490659 683186617 1000000000000000000 297419653 170752988 273534598 262551870 1000000000000000000 420961372 377965191 415436179 362471848 1000000000000000000 925353481 559768535 805454282 196757099 1000000000000000000 714790028 189871651 302770920 327895547 1000000000000000000 501953711 307509277 331181490 332640309 1000000000000000000 993071773 805132326 301302646 317042609 1000000000000000000 11965037 3593802 5137838 3411987 1000000000000000000 547237506 506329445 296443653 277076885 1000000000000000000 883265197 435314562 271963789 683525375 1000000000000000000 578102630 24885214 267019708 254655451 1000000000000000000 80589020 70164494 36366464 60957270 1000000000000000000 689126087 515746147 426982967 589294018 1000000000000000000 887507078 116332426 586892240 682889039 1000000000000000000 978544332 517761306 584477426 754016591 1000000000000000000 783092549 622438606 628385007 256689672 1000000000000000000 88491580 46666186 76437303 21492063 1000000000000000000 378823070 72864092 85611606 226565691 1000000000000000000 860929794 164306231 411776000 112001371 1000000000000000000 298794052 268376896 182658393 28942809 1000000000000000000 980699586 588109549 104704107 350412304 1000000000000000000 18154240 1548911 240734 8161189 1000000000000000000 99115422 5851981 80281671 85593463 1000000000000000000 402586017 161389872 381743442 287825490 1000000000000000000 303964555 100653613 1027791 72798877 1000000000000000000 731947404 320436102 259636420 262070453 1000000000000000000 157424287 132881178 150080319 35406545 1000000000000000000 268267339 161966503 222725022 81364071 1000000000000000000 869057287 634860622 104385759 316842497 1000000000000000000 9463908 4471884 1746972 6474411 1000000000000000000 967579537 32212059 406346363 766471465 1000000000000000000 858545271 53292791 682626814 266831951 1000000000000000000 785753944 244391824 774110391 279892985 1000000000000000000 16894368 15872401 7020243 2860730 1000000000000000000 89072967 6901164 23339209 63045614 1000000000000000000 337562878 16621737 269433649 253732443 1000000000000000000 602275899 415499719 371410357 319217929 1000000000000000000 354255227 325922060 10916474 319884975 1000000000000000000 428094912 423109195 414108485 235560228 1000000000000000000 546634605 95894715 400071308 319715937 1000000000000000000 385475646 124077786 222410157 52978695 1000000000000000000 335825991 25622889 34536137 310029750 1000000000000000000 944932022 171473011 930753523 513370321 1000000000000000000 925949503 230135762 879492891 233657555 1000000000000000000 105650176 11624549 25949457 7872617 1000000000000000000 336175755 334814201 148995773 107130315 1000000000000000000 551058561 96804542 99481081 482920157 1000000000000000000 267584366 210995896 33864352 218181723 1000000000000000000 543540267 344772991 317526555 220296415 1000000000000000000 941955628 249082742 83019850 927115990 1000000000000000000 677856786 278838774 182834327 414702486 1000000000000000000 74184241 34321511 27474257 3828842 1000000000000000000 219732048 161310457 164553024 133969012 1000000000000000000 546642971 417596399 543263074 36554516 1000000000000000000 456771028 83146522 27786748 326623667 1000000000000000000 313611964 255364202 20684612 88904530 1000000000000000000 988096072 755202361 773221845 365473531 1000000000000000000 497281828 448935103 455653277 373438549 1000000000000000000 652008045 440065354 364122343 508970345 1000000000000000000 74232362 33871098 35684981 67968972 1000000000000000000 999692326 688644569 5737127 950008924 1000000000000000000 53042969 14599365 34081139 34879428 1000000000000000000 262425449 203612707 249754962 137842148 1000000000000000000 717886813 554151894 652699958 450398059 1000000000000000000 246615524 132418118 86304014 104051913 1000000000000000000 900027492 572031251 624596657 417201675 1000000000000000000 218080711 119972333 6518097 152428981 1000000000000000000 911631019 714467802 306501512 96229723 1000000000000000000 266914259 228134548 145618397 226514185 1000000000000000000 492968804 96277421 3039025 194483643 1000000000000000000 847689567 535315117 5433365 85052588 1000000000000000000 578903259 467122814 432907571 559609222 1000000000000000000 336447841 334182680 266669720 14382880 1000000000000000000 330540665 94403045 85703427 46513528 1000000000000000000 393598028 355191169 191007689 166960897 1000000000000000000 201112342 19437008 140080990 7207439 1000000000000000000 161161911 137743467 68136267 100397498 1000000000000000000 55861610 55636277 47729335 23032430 1000000000000000000 592631082 421645420 424404428 101562716 1000000000000000000 941816729 843773211 816696637 250759967 1000000000000000000 759632426 377972256 471571928 226570950 1000000000000000000 718256287 372498240 230510283 69868653 1000000000000000000 780993522 143191223 590215867 10744331 1000000000000000000 346637525 74587576 76173497 236758523 1000000000000000000 728384971 421053382 228942782 553653635 1000000000000000000 54526464 24256119 42475798 37117469 1000000000000000000 749052028 682608724 316260197 659059726 1000000000000000000 818615642 312077741 578403222 11856713 1000000000000000000 729550668 66166214 599377011 215386966 1000000000000000000 739711002 119814143 669021799 370864366 1000000000000000000 978952412 185363201 970351031 182072685 1000000000000000000 386234309 263722824 144208318 193198980 1000000000000000000 14935750 10056200 4893068 704605 1000000000000000000 613612547 460135093 513015840 491554350 1000000000000000000 558217652 46013400 393594649 333773775 1000000000000000000 651001757 273850889 46739684 24767662 1000000000000000000 508592652 73062464 63974706 211305477 1000000000000000000 272867161 65007495 267273399 11929653 1000000000000000000 571953042 401508301 402373168 280253993 1000000000000000000 652882085 152958533 249951272 23103801 1000000000000000000 890556537 7820201 454237383 224267273 1000000000000000000 733485296 520608186 284150529 663162483 1000000000000000000 643323282 616476368 254668391 295657597 1000000000000000000 747315865 49477891 109418248 546340456 1000000000000000000 725594567 461115959 468037898 338606253 1000000000000000000 388439246 10343565 12172879 308147759 1000000000000000000 359298072 197208775 142571550 322762561 1000000000000000000 979826774 896204976 332967536 154876803 1000000000000000000 497348648 149281068 204272842 69792867 1000000000000000000 550054031 420037747 352116949 137009394 1000000000000000000 285959912 274344020 33868770 4931943 1000000000000000000 541236445 334728587 358561585 316233805 1000000000000000000 683243552 554421823 650168771 146208880 1000000000000000000 125199684 112881945 98843225 91936405 1000000000000000000 683261836 170554783 230487706 31088424 1000000000000000000 374103681 158857767 299441493 28677427 1000000000000000000 387792209 366863817 352476422 243639026 1000000000000000000 913939216 212814025 111084753 814379990 1000000000000000000 909366684 82482174 657051154 142621485 1000000000000000000 63214589 51062099 57028021 58498089 1000000000000000000 760351328 340920039 264526485 404667109 1000000000000000000 570388863 378643826 247919177 134921279 1000000000000000000 881629359 352299749 97094240 714479021 1000000000000000000 76492409 31577931 64027514 75426496 1000000000000000000 477111556 300748488 203129391 156755377 1000000000000000000 882937303 229112247 403391320 518503213 1000000000000000000 871669587 780519086 833643568 118723478 1000000000000000000 694074284 579071934 128361698 219381752 1000000000000000000 302505271 67039831 281512609 9970743 1000000000000000000 960250118 891611890 891766633 780945344 1000000000000000000 120942081 57500956 100489690 103504795 1000000000000000000 766891587 681265386 721703230 245854162 1000000000000000000 857767868 832443245 339543259 831097072 1000000000000000000 105501022 41257472 76602141 43539259 1000000000000000000 551706284 430452654 254770046 338809057 1000000000000000000 781807308 62762843 223830033 331926156 1000000000000000000 91554161 58466905 55327032 88245006 1000000000000000000 942749960 789527728 504343936 538161822 1000000000000000000 523807698 277159247 3100888 200103123 1000000000000000000 387389213 270232331 234105532 228855917 1000000000000000000 565266987 232586046 491750013 527945183 1000000000000000000 411417205 357649999 219752660 280894399 1000000000000000000 365772637 354809928 138691451 306589131 1000000000000000000 134715448 129211859 39023230 49040667 1000000000000000000 362293087 248227110 344109030 202558412 1000000000000000000 693296160 619572853 91667565 302229748 1000000000000000000 520621022 276612818 10488506 58566559 1000000000000000000 432473605 261039365 222027259 106890853 1000000000000000000 716179208 687259101 490666856 243234469 1000000000000000000 188598711 111192434 82275257 162562662 1000000000000000000 389546775 61198931 155679065 21915240 1000000000000000000 705417498 279370266 351517829 295423015 1000000000000000000 929095920 444163016 584357259 310140367 1000000000000000000 752209479 168321615 194897943 597742617 1000000000000000000 241579249 214708192 121551419 66902105 1000000000000000000 683020156 212095672 62243936 375550189 1000000000000000000 987370188 539184587 42329364 533612674 1000000000000000000 461236494 193189039 355884412 174371322 1000000000000000000 428670977 335886795 338298883 152257791 1000000000000000000 131877476 17952017 16708222 39699054 1000000000000000000 762272946 630601264 118035268 625584878 1000000000000000000 225277987 110390293 54637034 197402519 1000000000000000000 271779830 188868567 142780767 107988663 1000000000000000000 308242693 44739147 44858049 7538034 1000000000000000000 396088686 216611973 200434857 130500464 1000000000000000000 304280774 115697562 69171950 219180177 1000000000000000000 98627126 72948364 8337213 96967636 1000000000000000000 41608086 29643788 25462955 21986123 1000000000000000000 301260907 150639379 293982891 94873959 1000000000000000000 52426663 19061526 40524744 44281514 1000000000000000000 110447872 8250496 7992461 79834877 1000000000000000000 401447915 322265148 184320453 368852517 1000000000000000000 256474981 208171754 61182286 121309491 1000000000000000000 684708535 146060980 518580308 231430922 1000000000000000000 298695616 70767978 91022734 32395048 1000000000000000000 521239454 490810785 317823840 469255857 1000000000000000000 941897052 717634779 14874649 877996491 1000000000000000000 347682313 26487884 12109558 240797593 1000000000000000000 485706730 95895127 122998843 194085692 1000000000000000000 340742809 236542099 324009764 240819901 1000000000000000000 694943187 89431893 567840074 267084043 1000000000000000000 75939022 56121969 33312763 46955602 1000000000000000000 359042921 269752496 175518081 14044484 1000000000000000000 509806190 304037482 491089675 287776184 1000000000000000000 263070935 121016262 57055739 66140849 1000000000000000000 561135460 394662629 379767944 402784071 1000000000000000000 373478139 108603930 288866544 231821104 1000000000000000000 548296903 90236348 121712059 480910960 1000000000000000000 713397382 54629951 578594322 657155091 1000000000000000000 81542794 57407870 24178601 59030465 1000000000000000000 820583539 780945601 60524419 738935236 1000000000000000000 829690862 829435919 354416867 363680540 1000000000000000000 88749952 41343426 46397459 72886636 1000000000000000000 166005906 77764632 61358592 56580655 1000000000000000000 240793334 230330188 180614330 2318064 1000000000000000000 826737200 749548757 337501938 530727906 1000000000000000000 580282089 174248831 395515141 75113966 1000000000000000000 69722347 49497828 13620495 5533954 1000000000000000000 178690540 148073862 139985016 77138296 1000000000000000000 55486565 24626536 20174400 41395267 1000000000000000000 20534188 11732759 259426 2556817 1000000000000000000 803719505 577694190 339541288 775841202 1000000000000000000 901709089 177279862 713691424 507901872 1000000000000000000 539411566 85798661 28408436 529798096 1000000000000000000 139177711 6130622 32936908 15992360 1000000000000000000 245843168 123376843 52689020 99467512 1000000000000000000 905891461 396495733 230821201 440474433 1000000000000000000 598775752 254513192 210130727 552221679 1000000000000000000 746763266 179289371 447956083 481068057 1000000000000000000 362676018 322224802 126340703 218119135 1000000000000000000 923602930 911617027 533225961 88901325 1000000000000000000 285389580 132423305 148697867 66184972 1000000000000000000 417409460 136378958 43976867 389575949 1000000000000000000 59159171 23806609 44685504 23157850 1000000000000000000 759498948 439884423 335419657 372731608 1000000000000000000 288713880 200255049 211839151 12905659 1000000000000000000 327989883 81797208 142956593 167114877 1000000000000000000 219836848 190047402 75013849 155278279 1000000000000000000 181433495 132601964 172696266 153421356 1000000000000000000 36087309 14149594 6703348 14651127 1000000000000000000 349918569 208235486 334964895 137770417 1000000000000000000 434080466 144036547 57382678 90920862 1000000000000000000 105962333 89150183 35754294 73757109 1000000000000000000 606415578 287015209 423973012 411075525 1000000000000000000 692644230 55959456 116942863 78814991 1000000000000000000 553197455 456617870 242251539 162143723 1000000000000000000 372445465 313038111 207964983 103482580 1000000000000000000 582512969 88024799 255507607 378842311 1000000000000000000 507955679 415823990 113626099 470158120 1000000000000000000 143456920 37142746 40651610 12940410 1000000000000000000 373858234 272818464 247210017 357995521 1000000000000000000 78980707 71705610 2360218 53033225 1000000000000000000 833423935 287756810 70335385 571027509 1000000000000000000 185947454 82457672 42191585 35585085 1000000000000000000 655266159 196115296 551488940 496906191 1000000000000000000 424810384 64407103 82698640 318719537 1000000000000000000 313606318 190938864 38950695 226958182 1000000000000000000 626272161 240697737 26758848 480321633 1000000000000000000 35388856 22885400 4907650 3735321 1000000000000000000 622290255 377262742 180782925 486671302 1000000000000000000 608861529 330374237 458630327 432726202 1000000000000000000 539943620 265560004 319986449 496260810 1000000000000000000 591560985 343191682 297689123 422878630 1000000000000000000 880898724 551724464 317873085 419798103 1000000000000000000 873714003 410721897 281701545 35997738 1000000000000000000 510534471 364914072 327905102 40803051 1000000000000000000 111505935 103775810 70896790 70736711 1000000000000000000 449260163 48043802 350281277 403409941 1000000000000000000 319517911 27804068 41920511 44430533 1000000000000000000 501002470 19655111 262507116 188973261 1000000000000000000 63212212 25129939 11773001 7732962 1000000000000000000 351572136 6796004 90422498 151537212 1000000000000000000 964948519 164593095 879403799 775988165 1000000000000000000 9969648 9394926 5575532 804702 1000000000000000000 847506000 534748669 18976819 178564917 1000000000000000000 529541659 432226970 254623914 384222100 1000000000000000000 678483282 356650174 198275666 375323791 1000000000000000000 385011019 205617509 78971458 60890254 1000000000000000000 857744378 281287713 218959338 88362960 1000000000000000000 330926492 288094163 76904981 62244768 1000000000000000000 865922665 66408135 424905781 140795644 1000000000000000000 145256224 70673806 4719135 122402590 1000000000000000000 363514291 180439782 195106925 271128515 1000000000000000000 70824573 67190217 45214284 9491967 1000000000000000000 869095486 290444705 214595879 534141916 1000000000000000000 745136634 202169528 733365024 308524617 1000000000000000000 531667718 359594500 430100846 405488219 1000000000000000000 594050171 558572505 271556256 475489689 1000000000000000000 736508173 105342942 388244835 716566503 1000000000000000000 791915669 78089188 97020121 653403192 1000000000000000000 304065500 280301384 171177034 45804447 1000000000000000000 318845605 161037541 140258697 283978662 1000000000000000000 88490428 75099663 7447101 43715501 1000000000000000000 546366855 523863688 344508027 312252472 1000000000000000000 670674389 578261558 468978309 575560115 1000000000000000000 556253471 190899181 29475483 163367559 1000000000000000000 281018990 142386817 218933013 116251093 1000000000000000000 111678672 97148240 61058704 20675956 1000000000000000000 375930618 304437261 222577877 342912157 1000000000000000000 192546339 149794406 187372760 23865923 1000000000000000000 225516877 205921351 101175320 149975199 1000000000000000000 87078343 23986125 68913251 38319173 1000000000000000000 379127743 364392163 222118278 71381258 1000000000000000000 287578558 73476302 74076606 183867995 1000000000000000000 346787655 135796924 4617420 88584708 1000000000000000000 769308810 179278632 616111895 80402705 1000000000000000000 346500335 164146904 167759969 149800774 1000000000000000000 325213447 158435348 76473436 67611005 1000000000000000000 282500418 31229062 182526191 135720315 1000000000000000000 254165564 75893471 175226270 149220005 1000000000000000000 582195171 365474894 350850983 103511910 1000000000000000000 791440016 32369504 437897324 278381744 1000000000000000000 55496711 52545838 8921312 3554551 1000000000000000000 93314023 71633911 5406276 36162978 1000000000000000000 905139035 257921803 759436877 365985614 1000000000000000000 122339851 20823158 87080804 93950719 1000000000000000000 428714423 255101384 371639464 426852965 1000000000000000000 611841192 121856929 544557935 331365813 1000000000000000000 721221072 425266017 262712331 97866053 1000000000000000000 8199059 7117775 7514914 2136267 1000000000000000000 215197501 107457695 39442217 94436735 1000000000000000000 815492763 702991426 339343890 182456775 1000000000000000000 917778910 252649227 769747232 147357027 1000000000000000000 928798774 292675539 40188691 800384695 1000000000000000000 921292986 546507289 526945602 320772234 1000000000000000000 300534756 86313295 278723424 171732105 1000000000000000000 676056172 493155990 38249513 96263722 1000000000000000000 975197612 430675726 832214463 184933976 1000000000000000000 770921370 41219823 129827712 743414270 1000000000000000000 613151020 483599714 255933923 42151369 1000000000000000000 51389376 42471108 38660624 49887602 1000000000000000000 56443029 53282670 11287430 25713471 1000000000000000000 253734874 160114393 240515013 153672389 1000000000000000000 620594666 352621702 149571894 481144796 1000000000000000000 777095 260111 659579 187797 1000000000000000000 543120956 167016571 51844110 113041499 1000000000000000000 988943279 806340416 731573159 510725005 1000000000000000000 293223098 287925279 276198973 167185770 1000000000000000000 293276612 28252915 284009491 3157230 1000000000000000000 143786021 63564409 136488899 4378870 1000000000000000000 217929062 101743464 179727550 134920225 1000000000000000000 486612231 385585531 229073233 142564511 1000000000000000000 379569567 359838743 211102274 31769932 1000000000000000000 731718773 243079051 59340814 482687554 1000000000000000000 182295183 168685303 55379859 54746118 1000000000000000000 436948987 366873250 420400980 287882931 1000000000000000000 656141852 602253953 596046984 358646521 1000000000000000000 383535370 119768419 73991783 75385186 1000000000000000000 63594425 28738051 45160131 47078985 1000000000000000000 930534819 37409365 584855673 306654825 1000000000000000000 545713547 535837354 64090745 155709850 1000000000000000000 632725362 381445763 432331435 389781160 1000000000000000000 505029359 368959257 141535438 164560245 1000000000000000000 421011062 406038742 147525814 187006275 1000000000000000000 169776414 39061528 67169970 110440742 1000000000000000000 791488309 43863672 153036086 655540730 1000000000000000000 239323471 211605926 66010807 50016815 1000000000000000000 562678253 262388763 216042645 373271912 1000000000000000000 648382841 347482685 609463571 453260296 1000000000000000000 168957717 46970428 80740447 114443334 1000000000000000000 233157167 221399207 97786304 164145516 1000000000000000000 756308402 414995798 723166881 63260191 1000000000000000000 39824003 3267838 24160253 31674947 1000000000000000000 40885016 7261791 3374629 23639080 1000000000000000000 265445115 128032689 59315500 209986957 1000000000000000000 690789074 418977325 4993884 179179788 1000000000000000000 113547502 23589486 11512183 14554544 1000000000000000000 224990924 68114367 140625784 205204250 1000000000000000000 326275161 23945062 229484844 12628267 1000000000000000000 41881389 34142875 1182191 20460003 1000000000000000000 485621048 408307274 249342061 197084219 1000000000000000000 323679626 110751437 321961214 107785703 1000000000000000000 407856302 137129356 110458248 190872302 1000000000000000000 243255684 125180282 102803950 237578495 1000000000000000000 561316782 264965127 65972336 92039377 1000000000000000000 666714305 232528874 451648147 369415766 1000000000000000000 199158116 110021937 44939675 62963619 1000000000000000000 941506602 671202217 705961922 310417444 1000000000000000000 158782417 6944636 86551436 56769132 1000000000000000000 744566301 110143120 524289354 54898742 1000000000000000000 321427584 292511810 298729796 273885152 1000000000000000000 406645734 129182386 245948248 28787894 1000000000000000000 946625743 261174007 266037567 826175926 1000000000000000000 230874884 98482315 70228409 28774144 1000000000000000000 916958362 653261674 733926302 809177231 1000000000000000000 319931634 280728345 229022589 154019926 1000000000000000000 278450061 106317321 132318690 97561278 1000000000000000000 525103527 243073465 348511893 422314844 1000000000000000000 386930828 205188403 25449113 172828818 1000000000000000000 229637476 104212346 33083480 190540960 1000000000000000000 721957504 170135281 78838670 277994276 1000000000000000000 790012824 639700275 358668013 316163673 1000000000000000000 259325098 159104796 121462982 90452376 1000000000000000000 568272650 1060312 378565260 266956877 1000000000000000000 485958635 229492971 39223439 242414298 1000000000000000000 169984987 50872567 151835909 34600838 1000000000000000000 480478639 12727060 141263247 12110806 1000000000000000000 911754487 576279662 542185168 899225448 1000000000000000000 45241959 11266839 595018 11488731 1000000000000000000 576363455 228313451 273052919 393208892 1000000000000000000 379504485 273177633 335346785 39052143 1000000000000000000 22578744 9018187 391977 6040202 1000000000000000000 819645409 564636671 302936206 650422248 1000000000000000000 217459849 135633953 47015846 57701521 1000000000000000000 625484495 224170710 128747224 16953953 1000000000000000000 966969751 653005312 700163151 61020343 1000000000000000000 677872602 97917350 263392034 631733040 1000000000000000000 823416231 524206347 689058465 303216042 1000000000000000000 630507037 508550084 78990123 96717137 1000000000000000000 489163833 270712628 201243595 266582363 1000000000000000000 872873577 168434629 623149208 367128704 1000000000000000000 666061701 72433132 250166233 480490539 1000000000000000000 687462673 423505610 139387077 627567765 1000000000000000000 861243048 277738901 821349991 52868624 1000000000000000000 895196931 679487957 233238625 86341881 1000000000000000000 183801706 57106981 100684291 33683303 1000000000000000000 967997013 161933451 434218959 135477997 1000000000000000000 584284160 516286134 459611976 167131473 1000000000000000000 521760857 247424330 274344206 288871379 1000000000000000000 376226178 176883690 317243798 263792714 1000000000000000000 104875250 30401151 72670872 2721911 1000000000000000000 334861751 34355208 136574167 328237223 1000000000000000000 244055328 76458192 137206664 175370569 1000000000000000000 955798737 105142740 947219616 105482409 1000000000000000000 314261052 36788133 115058114 102429466 1000000000000000000 951865134 123715538 197075890 628833441 1000000000000000000 426056077 87342 274136993 69052675 1000000000000000000 615626364 270563905 435481192 297980774 1000000000000000000 260404863 211499171 2691948 184093376 1000000000000000000 193832922 49081970 141862400 93710259 1000000000000000000 966864557 909395859 759871803 22448027 1000000000000000000 963420199 122535658 524888418 245551487 1000000000000000000 714016251 116358746 265537995 423299499 1000000000000000000 785489045 628537511 567798587 777065232 1000000000000000000 437587992 24245659 313337557 418971456 1000000000000000000 992642285 815608374 337506453 970429787 1000000000000000000 131212846 39627996 60643044 6904564 1000000000000000000 953205901 726571883 935901339 737891855 1000000000000000000 429680121 216791620 94900706 36318649 1000000000000000000 627363485 242196846 537494062 266002349 1000000000000000000 359772886 290480990 6048305 193432608 1000000000000000000 121828746 84944469 60286855 95635491 1000000000000000000 318700312 198533296 259875889 53725190 1000000000000000000 837010224 377029718 458458352 143733024 1000000000000000000 504655286 59924988 154767894 158552348 1000000000000000000 984694450 277949526 879257032 276114979 1000000000000000000 765540207 560531023 246858000 692071178 1000000000000000000 822485738 383449323 153076481 754356851 1000000000000000000 340018098 68236833 83259909 99108347 1000000000000000000 171830425 23112847 30280204 170981049 1000000000000000000 167585632 115188096 24403038 124910539 1000000000000000000 792140933 67517135 48425706 384379644 1000000000000000000 719326758 222423335 299968899 10130335 1000000000000000000 909738011 291900369 319779195 246361321 1000000000000000000 32940595 12239341 14593849 30574523 1000000000000000000 409251089 100192225 119242076 116182100 1000000000000000000 150350851 97644615 105110575 34340637 1000000000000000000 542687817 56100008 344615066 533973290 1000000000000000000 752669568 198718388 178490908 190309912 1000000000000000000 749492309 542445188 10631024 467402561 1000000000000000000 620318323 557262240 275199504 433420022 1000000000000000000 647843514 86867081 286517291 592274175 1000000000000000000 777522383 629759731 390008285 458268051 1000000000000000000 689530879 44477848 81274404 177011253 1000000000000000000 817221790 678788553 291323494 240223321 1000000000000000000 722879665 348254254 461533537 582494467 1000000000000000000 810208840 652504546 787006491 722626588 1000000000000000000 397248984 275274066 383603320 225673557 1000000000000000000 90130187 44249340 35607992 45742084 1000000000000000000 111302313 8612785 10246066 40946739 1000000000000000000 203184643 23773576 170638684 165094736 1000000000000000000 432952526 246941830 185554925 412034843 1000000000000000000 269657610 72426002 62972633 71615612 1000000000000000000 726847084 200358151 350801613 127162513 1000000000000000000 270265681 57181997 232027980 71428666 1000000000000000000 770644100 732691769 563915389 368739359 1000000000000000000 541730949 207241142 521105713 380695680 1000000000000000000 214140735 185752913 11772901 136614904 1000000000000000000 496887582 147809478 413897623 348392549 1000000000000000000 113439287 61022217 94600925 43273378 1000000000000000000 684806717 422212264 274907006 350195549 1000000000000000000 949637815 340481443 99675163 319557825 1000000000000000000 404698578 169960993 264525014 64598970 1000000000000000000 631705449 560442876 284254097 312754502 1000000000000000000 579751470 324579299 432332948 452138455 1000000000000000000 44114536 9296901 23867872 23319682 1000000000000000000 603815541 600962130 557930182 82787683 1000000000000000000 395212521 275155146 138238792 296386729 1000000000000000000 885678103 839887109 688267896 712711511 1000000000000000000 598272507 314216998 131867992 521464565 1000000000000000000 401939362 258510327 245446259 360220971 1000000000000000000 386004017 106850706 215720064 382847903 1000000000000000000 306986539 221763854 69140570 87306167 1000000000000000000 602706645 298521625 341307562 150463314 1000000000000000000 436343062 74134585 269216791 79613242 1000000000000000000 665037759 188738166 651063987 43719303 1000000000000000000 449802438 260656697 380057649 358874360 1000000000000000000 732946547 157899544 729890998 529358193 1000000000000000000 834263731 94962997 515381537 500690875 1000000000000000000 566562484 163916701 137188000 241475179 1000000000000000000 76374349 3663582 55998533 28890217 1000000000000000000 636813694 269034088 570008437 96616311 1000000000000000000 144099516 121190334 40880386 89119989 1000000000000000000 894850476 633406693 14498234 94686592 1000000000000000000 855642259 711064480 241177766 613094505 1000000000000000000 267198461 206240056 116330607 152953061 1000000000000000000 520847262 417232372 53317423 368129431 1000000000000000000 310276507 73659315 88001436 15114760 1000000000000000000 292399794 284807012 166081364 195620629 1000000000000000000 465282002 117168781 307301534 85509165 1000000000000000000 702738697 310718322 633787813 425332219 1000000000000000000 803328025 285452318 214290101 750518818 1000000000000000000 482843346 59541830 277303739 394773854 1000000000000000000 145342325 49478114 61382863 29779343 1000000000000000000 292444252 30900834 11366666 246442396 1000000000000000000 327595455 263429798 248569414 91835745 1000000000000000000 915992631 333596974 596702493 163988306 1000000000000000000 140070634 58596307 96782454 30176993 1000000000000000000 44592865 13647528 43945049 2718194 1000000000000000000 194090909 182454400 87737076 166980671 1000000000000000000 359515244 179904108 25225561 32052567 1000000000000000000 288800806 200893725 247169391 137112686 1000000000000000000 262068114 34668985 3450238 15406219 1000000000000000000 363760587 106213824 73162409 334565268 1000000000000000000 130767548 102988579 48171932 19817977 1000000000000000000 2132582 929412 1428643 1008742 1000000000000000000 159968081 97508025 131286526 45495034 1000000000000000000 530848470 392976025 52966253 19326300 1000000000000000000 409563960 168035734 90405520 397383003 1000000000000000000 924846915 686622345 741492246 468804093 1000000000000000000 29997488 4491044 19730995 14694073 1000000000000000000 565913437 383544178 457618749 333934858 1000000000000000000 43609287 21172083 24110375 26469673 1000000000000000000 634148767 229123694 438245311 303104749 1000000000000000000 184159630 47799721 139089164 103776484 1000000000000000000 278041190 70319576 247277980 211481532 1000000000000000000 636052387 454395905 115240762 199022475 1000000000000000000 340430096 246750239 277879330 162999277 1000000000000000000 412408019 351642527 367797107 266161454 1000000000000000000 846121010 438965314 127469148 21426795 1000000000000000000 771913859 536678811 125010730 763214872 1000000000000000000 671985264 542071720 323829795 368272210 1000000000000000000 676810205 304959538 364678381 437833882 1000000000000000000 721365671 483955098 340777365 716828761 1000000000000000000 576962058 250589633 421237082 488889705 1000000000000000000 384098802 56381357 216033954 55697234 1000000000000000000 953983526 321284076 383910840 894463327 1000000000000000000 628287697 377627969 358050410 241059471 1000000000000000000 276156883 267341108 187383312 37895057 1000000000000000000 795116542 367625278 290893507 318109622 1000000000000000000 218271068 181771209 28695186 120603893 1000000000000000000 63037633 15129275 870040 35817018 1000000000000000000 518815441 509862198 132250270 316470254 1000000000000000000 287038700 164158285 112803151 602682 1000000000000000000 427090580 194132513 140102519 167193958 1000000000000000000 176671233 64419342 119277632 6315426 1000000000000000000 182429361 11121292 22460178 7309075 1000000000000000000 339850376 271030252 275092814 86507806 1000000000000000000 441878911 165061445 251869676 90079676 1000000000000000000 728089140 450580827 612994889 82662488 1000000000000000000 960828080 334823390 221394369 736645844 1000000000000000000 443077429 90420411 238755588 257613208 1000000000000000000 693192327 274107105 600735447 549612499 1000000000000000000 359679736 233180809 181306146 153700047 1000000000000000000 36007164 34549536 14141147 19974713 1000000000000000000 355261191 127949968 318135583 185270909 1000000000000000000 830251350 19285958 542870957 248506377 1000000000000000000 286450773 139591054 137487189 104244770 1000000000000000000 837764618 407057048 278405558 63168255 1000000000000000000 365953387 258888348 86085274 181996039 1000000000000000000 89365988 46133803 4084473 84913080 1000000000000000000 647209115 439778001 311516593 616404741 1000000000000000000 974279474 824017850 740070393 195919099 1000000000000000000 776087703 478173915 628918548 553991499 1000000000000000000 488807742 216858725 92857073 483641898 1000000000000000000 826460966 204167350 20060972 315129923 1000000000000000000 328646235 181806207 292079358 34011553 1000000000000000000 688580947 263353436 637423387 670293845 1000000000000000000 179604946 42658043 25455502 144591231 1000000000000000000 771979763 540374190 767422644 84705348 1000000000000000000 498793394 163105431 164203198 153764812 1000000000000000000 172763224 160967220 117852995 123149584 1000000000000000000 163870469 129240214 54335840 37972369 1000000000000000000 704834708 185651849 151672172 105023497 1000000000000000000 326687987 282957742 25024008 271147726 1000000000000000000 154828471 47152608 69072299 66215916 1000000000000000000 569988767 9441765 108732700 300645270 1000000000000000000 563889886 171443510 314366738 426610491 1000000000000000000 67593517 44898261 52630254 5678974 1000000000000000000 171394613 25026941 84190694 14780595 1000000000000000000 364988428 290636565 176484447 344509522 1000000000000000000 814943173 88365812 722788462 443318261 1000000000000000000 506762301 387147563 102508327 34696594 1000000000000000000 154882774 5118596 36940177 39171141 1000000000000000000 942314846 457666653 199331457 649631318 1000000000000000000 215402537 197867150 18542300 82315705 1000000000000000000 754609450 726782998 563899742 358972654 1000000000000000000 334073791 95874444 310777320 281999606 1000000000000000000 934216323 282586356 762870221 582456607 1000000000000000000 251946181 140361579 37715398 191631697 1000000000000000000 397908664 165320356 265265520 5783067 1000000000000000000 448074337 382660343 102709024 318856987 1000000000000000000 696087595 589748727 592426744 256175047 1000000000000000000 746292163 300298670 540103173 616497676 1000000000000000000 848683772 775715575 44630553 359452785 1000000000000000000 286330404 256199097 222412020 241093618 1000000000000000000 828130213 234805280 394758416 807490628 1000000000000000000 658480692 129749164 570571074 392040991 1000000000000000000 29795978 23367012 3419313 5415476 1000000000000000000 285735361 169643780 228400245 156984313 1000000000000000000 552019560 290774644 302662830 196133012 1000000000000000000 4326209 883439 46604 3153963 1000000000000000000 897010436 504716767 1802141 862926834 1000000000000000000 319361147 16678539 283423628 145854756 1000000000000000000 645170196 564986056 567196807 528848963 1000000000000000000 287220913 147599642 181797770 133173747 1000000000000000000 383333769 167472882 342833315 297222260 1000000000000000000 431433293 155965156 110134508 84263739 1000000000000000000 292233595 217157862 290689030 191912047 1000000000000000000 933257342 103590472 124928290 366270874 1000000000000000000 123554535 29558991 64168516 109002257 1000000000000000000 40204919 6262499 18396815 17814940 1000000000000000000 994082196 919430318 126800383 147558144 1000000000000000000 136435713 83087057 17749835 111134449 1000000000000000000 73345790 24106193 45486854 63872297 1000000000000000000 728403508 645366125 290837137 304000810 1000000000000000000 237730142 202515396 164283669 50765744 1000000000000000000 492916194 486554626 93764649 40339406 1000000000000000000 225409388 196280660 160969682 30315368 1000000000000000000 759593713 162552622 432522150 409454005 1000000000000000000 507032891 167572898 46146212 179065600 1000000000000000000 476449501 128127555 305794912 199346090 1000000000000000000 920967698 509145465 178279389 873737289 1000000000000000000 462636129 344543824 302842510 379428868 1000000000000000000 829852681 311895088 301705584 368800042 1000000000000000000 723021887 506056836 525550773 434332224 1000000000000000000 967577136 129226618 391561045 471769974 1000000000000000000 37965414 8025228 16624645 1416208 1000000000000000000 396311082 86746483 154269688 89065852 1000000000000000000 822215556 740763114 114757210 319602396 1000000000000000000 172419902 48380252 147251762 128451135 1000000000000000000 149569161 65994451 71406140 88499870 1000000000000000000 832852839 751790911 166820322 718573357 1000000000000000000 19504818 14204945 7887947 11020706 1000000000000000000 429849853 264225136 375268777 160132960 1000000000000000000 496017833 453761612 359269116 185682341 1000000000000000000 712821927 216177291 496767891 9899068 1000000000000000000 972302644 555327647 257432622 72201802 1000000000000000000 148814093 65850377 94574914 123386265 1000000000000000000 918307786 163557811 375789294 612961504 1000000000000000000 912914827 357126936 489113366 93513715 1000000000000000000 449645860 43079475 270866793 340905453 1000000000000000000 889869049 307249206 490210904 272273487 1000000000000000000 666624551 482625233 167465718 6950146 1000000000000000000 651459637 437919268 481446477 21976865 1000000000000000000 781534025 277547134 66948796 136251466 1000000000000000000 669107783 207292924 619292886 231978972 1000000000000000000 572152334 38857438 436441930 465672622 1000000000000000000 313750697 312704017 280456270 158323695 1000000000000000000 54413654 38260759 49754260 13871552 1000000000000000000 836302224 558218018 623365629 143220148 1000000000000000000 595257888 532831857 527745994 527336787 1000000000000000000 646617617 112137270 537207306 257193661 1000000000000000000 894071027 870357484 263481157 676338041 1000000000000000000 448582162 55176897 316740765 341135555 1000000000000000000 831704959 421359626 483964173 436931852 1000000000000000000 239937822 141789773 40407604 69220334 1000000000000000000 367785505 25419124 212368300 65012586 1000000000000000000 743492654 148330035 397204646 486102749 1000000000000000000 524673289 362115619 171704851 34292844 1000000000000000000 495250953 37045868 294137460 424122739 1000000000000000000 659710008 510624852 44629178 122693638 1000000000000000000 593256106 94044782 218282251 297632552 1000000000000000000 933198862 503713613 67486957 240841427 1000000000000000000 220661724 204454626 101366114 1462656 1000000000000000000 675446049 267594238 237047000 452946310 1000000000000000000 19125836 8734031 11851920 5257225 1000000000000000000 432367547 247435157 92976664 33020111 1000000000000000000 671647009 657248876 92349750 595597049 1000000000000000000 940127421 217852243 554892803 832507043 1000000000000000000 563986150 425140411 546844555 109638248 1000000000000000000 546375809 443303240 221737147 37237173 1000000000000000000 11528685 5185898 1786537 5427313 1000000000000000000 187007503 97817481 34165526 3898277 1000000000000000000 499095078 262335100 80824419 129995367 1000000000000000000 795852055 383748737 149943344 759700638 1000000000000000000 92555867 6559813 89068026 35898008 1000000000000000000 252931967 56823825 97279606 239818590 1000000000000000000 962339430 368677712 882843811 710181947 1000000000000000000 190505126 178382321 67185314 41693129 1000000000000000000 565128290 142047991 368810823 203341631 1000000000000000000 88824620 87609295 29486324 14764116 1000000000000000000 890069578 356406266 524821854 457738209 1000000000000000000 520111304 312116042 20526568 271846325 1000000000000000000 6712416 4034733 2697313 2039646 1000000000000000000 283681349 251792411 169316137 139888644 1000000000000000000 377154542 86006444 36366151 38834955 1000000000000000000 293373832 207770360 131189755 26891564 1000000000000000000 736091718 522548634 483841625 696082977 1000000000000000000 649002832 141748833 153013724 566782840 1000000000000000000 14733351 944088 3188494 10432716 1000000000000000000 336449352 95198569 105828209 193087737 1000000000000000000 632230944 296169412 187430725 104619100 1000000000000000000 11571319 2249397 6428336 3666921 1000000000000000000 118281135 37488997 70912146 57283765 1000000000000000000 134275484 43654900 37349781 125809804 1000000000000000000 231589162 168084232 138968788 206515835 1000000000000000000 790390341 533096445 341356666 239788752 1000000000000000000 605701306 29994269 172465765 544374267 1000000000000000000 699686451 578951559 15256624 171904104 1000000000000000000 256258300 78821342 176112735 8077897 1000000000000000000 775175784 161300124 408955052 742882679 1000000000000000000 857257066 585101198 683144073 516588722 1000000000000000000 827293457 51917005 436947053 617141086 1000000000000000000 770092133 356739059 384544556 605061601 1000000000000000000 597261264 476633758 207625785 432078335 1000000000000000000 69233311 16632536 18222041 63130019 1000000000000000000 391187216 250564960 338412494 223429528 1000000000000000000 566465434 71272493 455840703 561611764 1000000000000000000 146807172 131347382 55109860 124408934 1000000000000000000 55144958 40768057 36423256 36622898 1000000000000000000 552568729 524858628 291845740 443262621 1000000000000000000 5856382 3170746 5586423 3656962 1000000000000000000 305061507 72967963 93713599 240968419 1000000000000000000 932049616 497161762 210699047 315464343 1000000000000000000 512792232 72166608 449353922 182248274 1000000000000000000 443095518 258979385 287216207 113355125 1000000000000000000 140436495 128499372 9520237 54073224 1000000000000000000 125931827 76981296 30732864 105692394 1000000000000000000 726140728 715366412 164286480 491055088 1000000000000000000 815420050 452584142 7467340 44278159 1000000000000000000 294566160 263841864 143591482 190971539 1000000000000000000 284063111 242786916 89482979 98876354 1000000000000000000 758667677 572606258 580726969 236814673 1000000000000000000 446012189 105150769 1905748 37483425 1000000000000000000 123742958 25919082 41243218 102855807 1000000000000000000 50923230 16280703 26049844 17718742 1000000000000000000 984133800 630726981 519410 868690949 1000000000000000000 855659818 633208325 63710700 248994259 1000000000000000000 756396203 321437605 506343529 295774361 1000000000000000000 936915826 854859615 54861598 28120084 1000000000000000000 84007761 60557515 26900189 43318067 1000000000000000000 488141205 362189191 353975962 408628836 1000000000000000000 56295899 130225 9488544 25578550 1000000000000000000 388288192 281174854 91714111 31864324 1000000000000000000 9744783 5363534 1959377 3854483 1000000000000000000 377258907 207852873 117555437 208893701 1000000000000000000 963258092 437092375 152849708 269078396 1000000000000000000 666776857 198961712 349552718 150965765 1000000000000000000 501308843 38686469 164598353 31471412 1000000000000000000 261255957 51534497 253589496 248586281 1000000000000000000 947900367 614440691 900675538 773703652 1000000000000000000 967407557 662035313 949016184 918904872 1000000000000000000 998954335 968079475 132271335 832954547 1000000000000000000 568384783 484035629 69394686 502494450 1000000000000000000 348034216 29368860 295627401 243713576 1000000000000000000 463664478 54003096 258056864 179482855 1000000000000000000 760007619 303442729 79909663 278491886 1000000000000000000 469091850 18779598 440741940 280115600 1000000000000000000 292466037 216849083 143510622 227511691 1000000000000000000 744564226 601290077 625439900 311314504 1000000000000000000 595924246 51501734 359211878 564429924 1000000000000000000 343844678 135707334 311508055 215315686 1000000000000000000 813711732 403100711 105371132 415122019 1000000000000000000 419492024 268173102 23915982 349561913 1000000000000000000 329312814 131597678 145403987 247297556 1000000000000000000 724459956 146446856 43514900 482274864 1000000000000000000 994500902 574429644 869578216 248530837 1000000000000000000 52716868 19327818 33287069 6345212 1000000000000000000 33479593 14201892 9355995 33296673 1000000000000000000 814797131 40081119 746525046 660229308 1000000000000000000 787160534 352070278 452694289 364805564 1000000000000000000 501814504 96154663 156181844 87472898 1000000000000000000 507973888 432940470 145283030 84189744 1000000000000000000 666524294 72210118 540992358 287380361 1000000000000000000 813915936 459013678 730702922 442039888 1000000000000000000 550521119 456105372 182712289 3395471 1000000000000000000 292013865 201744766 66276933 73544075 1000000000000000000 559432381 70659503 149204610 248062693 1000000000000000000 108060949 97847444 13205495 54534877 1000000000000000000 204989908 63516535 219702 46896911 1000000000000000000 959358094 530873077 400671642 276852962 1000000000000000000 960375829 557234831 905422782 324041405 1000000000000000000 331910046 253343544 247525506 8338989 1000000000000000000 33478037 30677049 3497436 10748115 1000000000000000000 335004104 197175977 317169386 198246916 1000000000000000000 906126337 610596547 741300979 406189147 1000000000000000000 972569961 270110598 147827012 936027755 1000000000000000000 463336417 181653768 404938039 11372463 1000000000000000000 730433579 482557030 427479788 5593070 1000000000000000000 481521868 103325793 105252446 199292275 1000000000000000000 928693952 287218049 369582150 774415889 1000000000000000000 71102888 925523 44015542 53378892 1000000000000000000 762817648 314171153 77734725 482348348 1000000000000000000 169611736 130923206 135906862 23241706 1000000000000000000 208001824 204223667 189446689 49392182 1000000000000000000 189636614 169409057 101910489 52988910 1000000000000000000 498567510 350070239 199658094 102874276 1000000000000000000 677639473 29511467 633202972 579186612 1000000000000000000 376998994 322926651 176153408 275471980 1000000000000000000 327419329 64422399 197298328 159768081 1000000000000000000 603652643 485169422 587312692 209358629 1000000000000000000 148510544 88016165 73816330 68346662 1000000000000000000 320656642 191912597 59237574 309203995 1000000000000000000 385049017 194782776 284362394 208866333 1000000000000000000 579573436 419368158 339863590 508786271 1000000000000000000 690100107 432279560 118119470 689081789 1000000000000000000 574421702 495383069 458608412 307944639 1000000000000000000 610634610 585615461 214780016 110695415 1000000000000000000 416166786 154528366 252900178 152487885 1000000000000000000 211897784 59864055 181529951 36451946 1000000000000000000 408321562 229887854 36602768 37516667 1000000000000000000 840596376 394614308 422719392 700394661 1000000000000000000 172068407 84923695 7468709 104274262 1000000000000000000 681213812 296704695 159097428 535582336 1000000000000000000 585754605 438782689 287314250 37205657 1000000000000000000 855027832 206155626 570853326 481688430 1000000000000000000 913186381 628688237 261758867 206918363 1000000000000000000 153063980 57574569 114272169 76935781 1000000000000000000 514002404 380496285 149976735 82792272 1000000000000000000 373111042 194048786 349530617 154389934 1000000000000000000 625978401 238258308 592688239 251673004 1000000000000000000 456604865 169502302 43238353 14649108 1000000000000000000 889558556 404129342 862064834 425889929 1000000000000000000 25265186 17275666 12788960 9091440 1000000000000000000 813006411 578714372 670807263 531433308 1000000000000000000 99718142 30465439 77112255 11098297 1000000000000000000 256095301 38915758 74948909 160579453 1000000000000000000 769557216 472961184 458614763 59273702 1000000000000000000 633060078 160519209 549161020 415688542 1000000000000000000 254654700 220466485 68209535 220722460 1000000000000000000 878444928 748375901 421098550 178950946 1000000000000000000 593189834 270593759 447902328 388380938 1000000000000000000 708478893 281851535 156674810 390273521 1000000000000000000 153371772 60803785 9539650 118141493 1000000000000000000 321528921 62933675 193001168 42689254 1000000000000000000 606222541 165497979 4981341 25294253 1000000000000000000 572815068 452831489 521380146 77579226 1000000000000000000 436089680 272200627 56881693 213788229 1000000000000000000 946911219 5801256 797418806 339509209 1000000000000000000 224578708 215590094 182825502 214548841 1000000000000000000 36919412 35105512 11540161 29015179 1000000000000000000 646642510 186624095 267499754 424319148 1000000000000000000 306067176 245974163 173379839 171433932 1000000000000000000 65304505 49557145 461210 11808876 1000000000000000000 571028503 340356240 40910724 332517831 1000000000000000000 483555093 259848765 130931303 210562204 1000000000000000000 427703145 306282400 75215497 104878621 1000000000000000000 998654332 400984929 152322943 337806759 1000000000000000000 513750234 11291447 459891032 45696619 1000000000000000000 836473496 165479579 483465579 625999249 1000000000000000000 104991100 70431431 38131579 44069982 1000000000000000000 75083831 6664577 50722632 59522669 1000000000000000000 344832301 193276001 73690018 177682841 1000000000000000000 807040017 312232763 78591055 275032472 1000000000000000000 823308211 67048655 374156670 730062585 1000000000000000000 352119680 65277352 302832157 72960140 1000000000000000000 473080982 416471801 209698703 206050679 1000000000000000000 38583185 3082176 19141484 36421518 1000000000000000000 951633873 369317007 9254945 46094740 1000000000000000000 879429564 266872203 846682191 780233959 1000000000000000000 527651141 110577648 311005037 116416460 1000000000000000000 904957405 276684382 460809466 536769294 1000000000000000000 626480702 17337465 470626187 53756717 1000000000000000000 286032243 104987534 254496595 46323458 1000000000000000000 939172335 39592681 390958268 795590093 1000000000000000000 996522894 601245550 134600976 335141443 1000000000000000000 779502847 367943550 651596514 270055439 1000000000000000000 171284098 27253465 62106967 148032487 1000000000000000000 857119036 566222701 297406122 74960102 1000000000000000000 174555311 82087533 58045430 170779744 1000000000000000000 313783323 305753240 261086455 21996310 1000000000000000000 878641002 563052264 628715896 576588747 1000000000000000000 619916052 102192106 59438251 261230465 1000000000000000000 543731135 229655991 282444096 493611702 1000000000000000000 627241340 4922117 176478851 559315525 1000000000000000000 969773300 287443446 275666325 641281891 1000000000000000000 589108901 156861853 342969196 241092328 1000000000000000000 329207677 200418678 281809480 183308315 1000000000000000000 730032288 324034486 710346686 6631084 1000000000000000000 966358008 590133381 935670828 317639052 1000000000000000000 284201716 120806778 21482220 253317660 1000000000000000000 176772846 155893356 121917305 25549448 1000000000000000000 66260770 1843889 7776380 48288376 1000000000000000000 288088770 114369578 29430833 61559738 1000000000000000000 67154664 16469712 64615336 53074273 1000000000000000000 778695035 65995449 313500180 584032001 1000000000000000000 738985679 553534260 562565493 401023482 1000000000000000000 800253303 707010009 696859555 246729477 1000000000000000000 57052430 28735995 53821004 53126223 1000000000000000000 246065586 124861249 144073497 53013362 1000000000000000000 149453074 116191741 12752972 147597413 1000000000000000000 411429640 302367642 128608311 48760412 1000000000000000000 828875783 54339451 74758116 480564819 1000000000000000000 600218652 234745202 348568406 231560996 1000000000000000000 481754689 301123397 469298580 198370916 1000000000000000000 922713465 813553085 405695110 566696382 1000000000000000000 694531215 470568726 660421066 245964887 1000000000000000000 729053107 611416591 498046991 121120540 1000000000000000000 548841905 356480750 284682711 358017615 1000000000000000000 847214375 456991834 602264179 249529465 1000000000000000000 94810500 17279557 32192498 12945629 1000000000000000000 323760260 113694597 98304294 182668603 1000000000000000000 604788829 441132492 115897487 63568738 1000000000000000000 352608395 7220896 244044016 145006116 1000000000000000000 137632768 7991725 82604857 108332002 1000000000000000000 156226111 126222268 77448728 77069340 1000000000000000000 317737483 17457076 150782260 48003629 1000000000000000000 509056961 239489516 410334910 497253935 1000000000000000000 998328834 303822110 403320183 946668840 1000000000000000000 517343294 229544112 400850574 432671480 1000000000000000000 856893100 41841546 70836712 393183895 1000000000000000000 381360993 118318723 86464408 81337265 1000000000000000000 214140363 95505573 153540559 104016803 1000000000000000000 570853393 4719750 199707562 62623710 1000000000000000000 64599021 33921473 7660040 34053605 1000000000000000000 719746706 180219042 679682537 387525101 1000000000000000000 296271649 235485640 229183309 20960864 1000000000000000000 952196162 129590806 5828310 701011931 1000000000000000000 255950455 170147079 191287716 162764559 1000000000000000000 62949637 2664154 14477907 35792786 1000000000000000000 411778077 385575993 333391028 77360801 1000000000000000000 428988101 167376284 288265894 252298892 1000000000000000000 642028095 332913103 493775009 547365449 1000000000000000000 586029379 354425869 266893517 6462695 1000000000000000000 574551155 528270176 222526409 352901008 1000000000000000000 951128900 717153500 644875156 403000612 1000000000000000000 356462440 323368243 180029411 204885418 1000000000000000000 737845050 473481980 396518175 596230852 1000000000000000000 849020488 348755104 442322742 489822742 1000000000000000000 387720068 308737392 220144154 11567060 1000000000000000000 231547478 224395692 86788660 25571821 1000000000000000000 760455066 34340725 736870012 72070371 1000000000000000000 518462707 157089171 184572082 326049915 1000000000000000000 616661193 284795588 468184210 479324107 1000000000000000000 587750471 118821563 249693518 137076099 1000000000000000000 653293980 40715961 267792521 409069858 1000000000000000000 433997797 267552188 178065828 145337767 1000000000000000000 708578423 671634850 562284471 248705821 1000000000000000000 2332637 51339 151287 472965 1000000000000000000 389208794 56284330 306184143 339374776 1000000000000000000 769482648 417829084 761801384 235028842 1000000000000000000 14712936 10166668 2259266 630911 1000000000000000000 313067412 100029689 106542626 270114291 1000000000000000000 249304146 26875508 91485937 48507385 1000000000000000000 167962082 83949190 112587238 149568806 1000000000000000000 251667634 90323244 248840075 24068357 1000000000000000000 622941082 15544368 517521313 54691340 1000000000000000000 992564853 568845702 2634869 458112444 1000000000000000000 485561037 310765972 236658473 67779140 1000000000000000000 782535782 327654612 127275253 480840356 1000000000000000000 547602388 72104022 627522 409507900 1000000000000000000 151304063 2396412 88489528 147591226 1000000000000000000 205979432 170420049 46183774 81665963 1000000000000000000 79004444 48370624 60952929 40932877 1000000000000000000 456143106 224263284 117381625 452150067 1000000000000000000 307487708 261809192 236196348 48948313 1000000000000000000 792840460 661873786 225057272 532896200 1000000000000000000 344367592 196202694 55155553 54110860 1000000000000000000 93299204 8692417 9678051 67733016 1000000000000000000 955276990 391394681 599597195 816406553 1000000000000000000 71312608 56295702 67562396 67117939 1000000000000000000 741180207 21212616 721719865 204827624 1000000000000000000 450454663 266657003 327468131 75795662 1000000000000000000 521136345 155603422 95475746 299424887 1000000000000000000 256865167 255978669 9049992 152712312 1000000000000000000 77334692 49266864 32932194 55035077 1000000000000000000 278628294 123650114 236156185 108912712 1000000000000000000 33863181 25936282 32307437 27394632 1000000000000000000 873147886 758679143 9261344 856094652 1000000000000000000 123531774 10415450 118883140 75886329 1000000000000000000 35014440 12196065 20212982 3426016 1000000000000000000 305972136 1813069 66709531 175265087 1000000000000000000 917546103 115700735 243734620 801058641 1000000000000000000 889285739 752420066 879052294 481569655 1000000000000000000 264883959 74716531 203067006 146908252 1000000000000000000 618902134 288544525 478857552 525003374 1000000000000000000 110173317 47319196 51965185 14049366 1000000000000000000 190755211 67355358 3853078 86638569 1000000000000000000 647235312 106327768 365491306 234973598 1000000000000000000 206050533 185787388 67540377 10162985 1000000000000000000 567863092 11880361 341885165 70760569 1000000000000000000 926742602 99323501 195926849 106459419 1000000000000000000 480053274 309578268 202335833 472925320 1000000000000000000 116880583 108595834 38275978 28414898 1000000000000000000 526126156 342167749 306382355 32724739 1000000000000000000 217127581 193808814 197078514 170148286 1000000000000000000 575548068 301224251 206471363 204194272 1000000000000000000 181474665 4636030 50947837 171518483 1000000000000000000 645171913 151409953 75744895 256246303 1000000000000000000 159422598 109683408 33644424 158675332 1000000000000000000 660407890 265596449 235085655 641632850 1000000000000000000 354458832 246795277 330530316 250553906 1000000000000000000 777140544 313970679 549558349 452578780 1000000000000000000 68921915 63931173 28517881 30105353 1000000000000000000 324068778 315981621 169414545 263763813 1000000000000000000 491290672 363847831 354713808 126207934 1000000000000000000 442694370 35683391 112554196 342655383 1000000000000000000 606664491 362437189 346099935 78920441 1000000000000000000 945767024 373620406 694012922 464889226 1000000000000000000 329998649 127574651 60720408 246805091 1000000000000000000 575573858 113035739 347416260 537754132 1000000000000000000 349792759 241630196 159459061 342334015 1000000000000000000 290656417 145657929 46393684 129702263 1000000000000000000 700140056 323640342 654884586 355999946 1000000000000000000 458776755 209604845 100183879 217583114 1000000000000000000 974084084 258235753 201275229 43865455 1000000000000000000 273071937 144123890 91037605 207260980 1000000000000000000 497846201 8347018 275259761 262324154 1000000000000000000 958224736 196338347 287194717 173892780 1000000000000000000 826849107 248516286 532916592 197926437 1000000000000000000 116397136 98144999 113851638 33775329 1000000000000000000 337647191 33524535 138362129 197439133 1000000000000000000 384872090 278775727 139460359 58978504 1000000000000000000 302703374 123553736 272297666 271321982 1000000000000000000 649077103 475376401 133669032 276899228 1000000000000000000 545874446 81574133 217510342 308357110 1000000000000000000 83058780 9306782 15397671 64024654 1000000000000000000 432381992 38187072 305086611 74942916 1000000000000000000 530893332 75967291 247690369 243630143 1000000000000000000 395725930 241380100 112511588 322378408 1000000000000000000 697632545 383680061 311484298 514510270 1000000000000000000 866064196 120145871 509907284 795562180 1000000000000000000 21202213 15593901 12566778 4619453 1000000000000000000 916650647 87435294 430715434 652504972 1000000000000000000 942001204 74665884 374110662 289652312 1000000000000000000 931069345 861883918 791618605 904335480 1000000000000000000 460615981 26840133 3532274 78404937 1000000000000000000 69623350 54415449 57423299 29025272 1000000000000000000 399810367 283883410 117165420 353582295 1000000000000000000 203408287 93889703 70798971 19147941 1000000000000000000 105648705 6500500 66922613 70211056 1000000000000000000 38048127 34226319 748136 12627478 1000000000000000000 988729089 735941673 524622232 736687396 1000000000000000000 854491490 682460129 743564292 561657800 1000000000000000000 138899135 116326115 78264695 89016375 1000000000000000000 689604241 579469972 229652171 635633430 1000000000000000000 319189347 233087025 1950581 264921651 1000000000000000000 908381202 799848553 36669156 370138535 1000000000000000000 997793697 520456405 69893965 527988380 1000000000000000000 106573857 3647924 60718088 21255175 1000000000000000000 586758592 310442650 380923629 392664578 1000000000000000000 434743439 401604678 150468581 402643748 1000000000000000000 511700572 276600025 222330995 103056435 1000000000000000000 17420219 14482933 9435641 4772314 1000000000000000000 691383682 361838 476056677 272654447 1000000000000000000 776571477 597975606 466693360 523483650 1000000000000000000 380110059 52438575 165696924 69256507 1000000000000000000 867456203 165653304 40450646 373298041 1000000000000000000 433055503 385904648 345668839 355245510 1000000000000000000 567510236 337320120 252901102 127107677 1000000000000000000 321581787 225570241 280260383 144164047 1000000000000000000 411698781 96112120 410159754 109163959 1000000000000000000 391557344 20845538 43017200 23120327 1000000000000000000 788199501 407099302 185189528 292907540 1000000000000000000 830904655 740603977 135032837 167966420 1000000000000000000 321631019 85458947 33517045 112145178 1000000000000000000 661567167 398470536 493623574 344890730 1000000000000000000 29710826 12886393 12909368 10392288 1000000000000000000 42140503 37248178 36807239 34111807 1000000000000000000 715086012 334167147 338997947 404553405 1000000000000000000 178617007 133780999 66268355 9950024 1000000000000000000 272541788 95917154 261874082 193427320 1000000000000000000 75877048 50986624 49034160 57382707 1000000000000000000 256202718 47900761 178173366 234132338 1000000000000000000 255897296 52415235 112109353 147166160 1000000000000000000 371113912 175941933 103994607 58736774 1000000000000000000 760988985 677032619 158744957 454298592 1000000000000000000 22208005 3614521 9140565 3240205 1000000000000000000 228587097 134815002 72877186 123760363 1000000000000000000 276372764 16465962 222106740 112594503 1000000000000000000 157447146 92558647 89626273 7621925 1000000000000000000 878268878 485205020 529000744 578879972 1000000000000000000 556214912 342312765 318053072 329102253 1000000000000000000 695901920 168633939 207087461 29883105 1000000000000000000 51221797 43439569 14982153 25806239 1000000000000000000 970190578 42359575 209131631 608366386 1000000000000000000 53573550 23043832 37890269 17871667 1000000000000000000 24095335 2690345 7971131 12335695 1000000000000000000 203087016 171332269 183899342 37580870 1000000000000000000 911003425 284441951 131162270 597461017 1000000000000000000 489618947 287363410 221001282 446245334 1000000000000000000 152611850 26275304 52441473 83798473 1000000000000000000 927555605 755524666 488778064 583640939 1000000000000000000 663655407 113502560 563804781 610137978 1000000000000000000 969628758 293624577 58990293 316250643 1000000000000000000 713133193 224447249 624386782 43493717 1000000000000000000 813908990 710950970 731138467 190298554 1000000000000000000 902252063 673127865 592997741 435455089 1000000000000000000 157636054 27087270 21521351 118512366 1000000000000000000 167701243 153728248 115458675 95198492 1000000000000000000 976552992 493140862 255777069 322665425 1000000000000000000 25024488 12597555 4137124 4686719 1000000000000000000 3077582 1710310 686159 1779427 1000000000000000000 787503806 229095381 373756962 598207599 1000000000000000000 500340933 428301389 454433372 193972831 1000000000000000000 465975430 303788694 325999440 357653165 1000000000000000000 138044684 89237189 26521676 10359713 1000000000000000000 680980346 208107307 193470186 361524223 1000000000000000000 661564927 581681660 300915362 336342841 1000000000000000000 532958680 459487433 263428708 148445802 1000000000000000000 176072075 98289547 165122356 122033947 1000000000000000000 583603388 273567834 173221783 320140925 1000000000000000000 292520160 136975709 162015733 147784149 1000000000000000000 421911066 9374872 273565187 224027977 1000000000000000000 126208258 17484666 32051729 103051170 1000000000000000000 385866455 207553502 141680442 261514104 1000000000000000000 45330183 7075749 11170382 9981697 1000000000000000000 964140447 318625212 766866811 523901816 1000000000000000000 319586539 200938207 44407368 183013231 1000000000000000000 181076741 122370196 179798287 159450924 1000000000000000000 59064251 50164204 39923437 2047401 1000000000000000000 975753829 841382658 500668764 662027255 1000000000000000000 417507445 403829267 61941977 14065445 1000000000000000000 537865558 318156055 110814800 301987796 1000000000000000000 45329812 36147893 40285121 18706552 1000000000000000000 113349286 46989179 109594867 78870681 1000000000000000000 526203703 84891060 49012632 479484305 1000000000000000000 969715368 944990569 807064836 791155916 1000000000000000000 746156166 341640042 164326309 445998094 1000000000000000000 607489189 166146768 248275966 525609921 1000000000000000000 832704896 142130691 397167962 61766343 1000000000000000000 723498549 9158559 50990467 538069230 1000000000000000000 763206286 323742523 475773502 522857523 1000000000000000000 283915780 143513007 14527789 130168529 1000000000000000000 274962192 243536222 130539333 243238260 1000000000000000000 127951166 45248688 26984429 51421634 1000000000000000000 492133369 120625068 311323018 107706948 1000000000000000000 907018341 419744881 86087136 800244905 1000000000000000000 193689145 64434160 11495515 121643028 1000000000000000000 868717195 431195289 856864165 129011999 1000000000000000000 996328670 910473330 776581704 778128165 1000000000000000000 921258790 287727504 232483429 206324462 1000000000000000000 941158074 789737930 386353327 753939190 1000000000000000000 3196956 1325174 2109175 3146331 1000000000000000000 767292607 461892311 460652896 293674600 1000000000000000000 365980533 25056145 350114162 44641571 1000000000000000000 652216363 576569159 107503546 341683155 1000000000000000000 899420630 334428884 699728313 274316080 1000000000000000000 873114802 72007926 385489239 16214041 1000000000000000000 705911865 118587303 331614278 485958698 1000000000000000000 623784027 156138496 300778639 506666152 1000000000000000000 487879830 412064493 49964812 256100274 1000000000000000000 466711888 77579931 242857265 373733467 1000000000000000000 756904788 280209841 318485565 320254232 1000000000000000000 955523192 643231390 870658213 162758110 1000000000000000000 821330799 169029602 717260560 338429239 1000000000000000000 670499509 592503556 153361044 46964602 1000000000000000000 834010401 661618195 365607624 821189197 1000000000000000000 607444894 206421678 329140549 454200592 1000000000000000000 662785104 168748192 316954430 504591400 1000000000000000000 666004374 320246236 570435498 580353950 1000000000000000000 315032511 64743187 46126062 147241543 1000000000000000000 449839332 279561376 194769488 317200048 1000000000000000000 254475111 236584093 186266185 49336089 1000000000000000000 512221538 61076991 35930481 314005333 1000000000000000000 559140048 178333423 432172554 287426871 1000000000000000000 745222215 302622015 324491504 60125103 1000000000000000000 476447351 327200074 471818153 363873907 1000000000000000000 449434924 213498777 49183368 339813419 1000000000000000000 130106957 122221756 3478903 23816337 1000000000000000000 91491680 21934798 87977532 4412929 1000000000000000000 910489529 847156164 72712160 615336268 1000000000000000000 285572104 167501045 8153695 115365555 1000000000000000000 444264016 360343847 313699101 131571531 1000000000000000000 148344976 47448237 85817398 12764016 1000000000000000000 340608369 142499036 186410348 339179970 1000000000000000000 86675121 42834168 17794403 74899484 1000000000000000000 334884214 9784517 160140359 77359101 1000000000000000000 820023706 150958916 245228562 453640604 1000000000000000000 332984937 118650706 176595634 38753618 1000000000000000000 203451242 61091615 99142071 157097469 1000000000000000000 337949373 199145947 36813841 14703003 1000000000000000000 870709811 389850850 524066488 138556422 1000000000000000000 482677027 360609787 439635180 88683191 1000000000000000000 439918684 365950356 20884248 324205196 1000000000000000000 718728488 339631394 205229147 441304471 1000000000000000000 881152016 247837786 634991393 415468514 1000000000000000000 216113502 189602715 209090484 204003661 1000000000000000000 142117497 142071135 93776584 138827510 1000000000000000000 328886038 321757079 50044783 35427784 1000000000000000000 255698472 76356949 180371164 111875000 1000000000000000000 553824998 422865460 497488463 89202250 1000000000000000000 663358980 260485550 356869336 238154719 1000000000000000000 657367026 305061732 84609834 63982585 1000000000000000000 681410601 309241396 639408688 561763695 1000000000000000000 538115321 297558886 131072453 357652823 1000000000000000000 335227490 73434858 253468401 16628579 1000000000000000000 628782121 406474172 102820349 200795513 1000000000000000000 950174556 514994569 846632793 267473807 1000000000000000000 187330303 17897247 102341217 45656509 1000000000000000000 100958697 47081450 21201403 21038966 1000000000000000000 576878066 433936593 64559379 185975989 1000000000000000000 564811418 387034714 377175027 125756005 1000000000000000000 476507770 224507734 104800459 187320254 1000000000000000000 700649865 420199052 574108766 286532930 1000000000000000000 30279273 24112212 20169747 6590637 1000000000000000000 681431507 665367562 469785335 609919432 1000000000000000000 225167497 170723147 157731132 151081897 1000000000000000000 458322847 417689908 306787287 7685396 1000000000000000000 912005618 16123202 394181385 289346728 1000000000000000000 75113029 58328731 57152757 9481530 1000000000000000000 93877497 87104551 3494307 69216952 1000000000000000000 461343372 391639617 62508742 321906421 1000000000000000000 626863939 568225126 46875841 502301393 1000000000000000000 209926610 79891627 23966880 27878550 1000000000000000000 675480882 59735900 40247805 334713378 1000000000000000000 407942155 222943812 331412872 123945605 1000000000000000000 348341615 189719134 130057565 309625050 1000000000000000000 914791396 758037178 875827509 669576233 1000000000000000000 249561415 111848480 111390472 223470801 1000000000000000000 393283951 146465488 162994105 313641784 1000000000000000000 15206674 938824 343216 12919247 1000000000000000000 513853371 488033163 490592230 483664230 1000000000000000000 752617110 439524552 277084593 579273092 1000000000000000000 49344982 22910996 44572082 18688265 1000000000000000000 449462130 410880843 279388969 247699638 1000000000000000000 929226340 258181831 872731099 927972605 1000000000000000000 886309027 687039030 516788971 156070461 1000000000000000000 388260093 369522193 223025281 113703499 1000000000000000000 873960780 855744983 721005025 148030310 1000000000000000000 402202245 254913126 54992826 160731246 1000000000000000000 869107628 513319070 217785690 497420457 1000000000000000000 152161297 65072410 20565593 87395342 1000000000000000000 644600848 173006620 128047967 371052771 1000000000000000000 697543534 288344056 674766937 90653533 1000000000000000000 839503080 427076630 583019540 182200307 1000000000000000000 597637573 363521461 590356460 323036170 1000000000000000000 966167302 698228947 292005175 765870989 1000000000000000000 583495913 573447731 497348640 371406552 1000000000000000000 563044198 7268349 341361263 409843155 1000000000000000000 69978630 68951313 35294127 62511941 1000000000000000000 465785011 248457785 337514617 104441066 1000000000000000000 820158660 99263553 343150689 642658335 1000000000000000000 286805972 40002541 99277539 118030295 1000000000000000000 554827529 338739373 554675287 550445982 1000000000000000000 991888484 847644319 817508703 155513106 1000000000000000000 704098516 265327666 521921828 613269895 1000000000000000000 874112234 283835797 855290071 145292655 1000000000000000000 885193051 337431610 166715477 120225229 1000000000000000000 643918610 288374457 412527860 426225163 1000000000000000000 249161336 1950535 114185774 56432101 1000000000000000000 702740367 151248669 222861730 144237425 1000000000000000000 483737300 435422842 437572292 344626637 1000000000000000000 896515792 72892251 210899914 827219663 1000000000000000000 589064405 224644468 169108173 528037164 1000000000000000000 928113035 358705710 51509292 637063886 1000000000000000000 895914616 738695642 826270104 141804694 1000000000000000000 145984004 92737957 110554714 112321816 1000000000000000000 485073657 199348124 61861970 86700249 1000000000000000000 379795094 111403309 288556423 57679383 1000000000000000000 238928289 92479435 690726 156785561 1000000000000000000 271401382 234247703 179042786 63327424 1000000000000000000 754544872 603097557 743870604 205915146 1000000000000000000 633978933 187888996 257977070 404632290 1000000000000000000 164195366 155835862 104800897 109977861 1000000000000000000 488683552 4367310 48162011 95296168 1000000000000000000 974446246 3265240 426388751 158808047 1000000000000000000 393941493 251705660 80652807 324522094 1000000000000000000 536657949 24090858 363746377 32998410 1000000000000000000 446085663 355380871 253508970 407272282 1000000000000000000 414932342 264636803 316324501 227371527 1000000000000000000 66659179 16690842 61692561 22047790 1000000000000000000 955048776 45044500 167203504 921661143 1000000000000000000 595033036 26324611 136723693 388247763 1000000000000000000 221780560 10520004 16173128 56934530 1000000000000000000 50032470 18633021 14116289 13474241 1000000000000000000 521183492 285169042 417961135 154864029 1000000000000000000 218405301 43193795 37151907 79056405 1000000000000000000 47400453 29825450 26919098 34086181 1000000000000000000 92675608 35906384 5577982 39366176 1000000000000000000 133368433 127887031 9022612 76650815 1000000000000000000 667676027 59539186 23196510 360209619 1000000000000000000 254337053 35507390 14719977 206123584 1000000000000000000 749105865 592570646 655147307 357993920 1000000000000000000 850443902 434633102 315491183 314223804 1000000000000000000 365176575 180724427 84061397 356657452 1000000000000000000 689029182 323198942 8275042 499776699 1000000000000000000 134514082 5200555 40278494 108754474 1000000000000000000 339944049 1069881 140748182 325732460 1000000000000000000 811772739 417444380 230577007 166459294 1000000000000000000 292028206 244115681 160131683 51982011 1000000000000000000 241276556 908660 1261181 205476067 1000000000000000000 595020196 373450797 86543597 38239398 1000000000000000000 27748074 7086893 16367593 10720893 1000000000000000000 870951718 264024466 475494100 32586141 1000000000000000000 65132942 2039158 60444515 38015125 1000000000000000000 186743797 61881418 143963556 81276439 1000000000000000000 630232214 158863995 380469750 74012920 1000000000000000000 654255965 24926890 581726230 202233376 1000000000000000000 740121136 599492382 161622642 295298710 1000000000000000000 143209230 3399509 135829762 97726199 1000000000000000000 142095195 66944288 108573526 15907298 1000000000000000000 539923419 488923266 192677893 485575537 1000000000000000000 664749393 553715268 33760917 98217254 1000000000000000000 578290303 511698105 27017611 159792913 1000000000000000000 802962554 146536279 262750696 554274822 1000000000000000000 104575610 3575479 91606045 65759253 1000000000000000000 910864586 12478920 581026245 147078350 1000000000000000000 19395095 3846941 266694 16628040 1000000000000000000 141107279 25005816 48311669 69159433 1000000000000000000 497567055 348165386 239941069 335715998 1000000000000000000 818705657 227083170 649822067 312303534 1000000000000000000 126203432 61348127 97829776 5184130 1000000000000000000 914740320 761052884 198565002 767720367 1000000000000000000 555896843 273745967 367413138 20826789 1000000000000000000 893979350 434132718 547430398 183899529 1000000000000000000 863762417 713641165 424122161 469053104 1000000000000000000 256946251 240342664 219448152 161699898 1000000000000000000 324382781 151119937 18623909 299069154 1000000000000000000 828895380 168148535 545320161 198878115 1000000000000000000 75693984 41266850 17231276 30935845 1000000000000000000 405134905 2344565 323044310 7833534 1000000000000000000 792405838 85225688 97771157 312951768 1000000000000000000 600977058 37595451 149982129 59764522 1000000000000000000 775092252 264653785 292466440 63292638 1000000000000000000 372941098 272470305 217824457 6076097 1000000000000000000 498011570 243722964 421628574 480822420 1000000000000000000 368795836 41132124 315498182 182134000 1000000000000000000 691546625 481752705 560222260 223450017 1000000000000000000 94722251 1423825 32066737 35360614 1000000000000000000 715112939 302140559 609243483 340790872 1000000000000000000 490926283 350737247 145278942 424528419 1000000000000000000 583001667 157898274 507043870 272601535 1000000000000000000 826797510 702584030 788135440 406906927 1000000000000000000 130687611 51802744 9741818 6668869 1000000000000000000 562891787 366012242 158553606 418644681 1000000000000000000 734089582 610277806 261969430 355316724 1000000000000000000 35728892 32437986 14332438 33586025 1000000000000000000 471399085 197255281 211422279 95263924 1000000000000000000 683934057 104069988 665716684 2688467 1000000000000000000 72133174 14903533 58643414 37942511 1000000000000000000 154082634 102051813 33471591 135748229 1000000000000000000 58941887 27987549 12147785 48844756 1000000000000000000 451053421 93392520 393660227 95714433 1000000000000000000 510819003 428507219 508692044 451554884 1000000000000000000 649312755 12037207 229527011 533182146 1000000000000000000 566034948 430336915 552015443 70348269 1000000000000000000 288841630 76784348 116626979 287374807 1000000000000000000 423327777 418157325 289930114 354667941 1000000000000000000 915747208 520254512 402355351 885064834 1000000000000000000 627238543 302682075 476914612 601213834 1000000000000000000 88025336 14059345 54635451 64712619 1000000000000000000 872545795 34700765 336218254 747899206 1000000000000000000 324878522 151433257 317592048 268172993 1000000000000000000 687369671 280230714 525120171 312436477 1000000000000000000 961280612 559224046 651712805 955448532 1000000000000000000 454699521 426717955 10165766 441836451 1000000000000000000 302199728 28234323 11609870 175841813 1000000000000000000 223955112 90281004 61533232 116861576 1000000000000000000 628000950 429706979 542537698 292543253 1000000000000000000 933841440 265571254 646292618 369939371 1000000000000000000 15309810 8443546 7932104 7478400 1000000000000000000 245300519 235743293 110663352 7434659 1000000000000000000 638993127 7663953 286989585 298240939 1000000000000000000 612284525 446619316 120357125 20397615 1000000000000000000 889369097 85643413 840252214 494493738 1000000000000000000 444822408 439776453 415293847 250974982 1000000000000000000 109079062 90894390 6952309 3195243 1000000000000000000 496135344 105530204 351256710 379567361 1000000000000000000 185087198 78801696 11532883 48943322 1000000000000000000 711689374 216478085 498328824 528979053 1000000000000000000 139279211 133171935 41178115 76826452 1000000000000000000 577542315 94008020 211547249 232827779 1000000000000000000 13321596 4427815 1937916 3525597 1000000000000000000 533871787 322629397 55787729 182864663 1000000000000000000 649427982 266000804 226320275 96212383 1000000000000000000 683324423 508535461 491350582 269032498 1000000000000000000 158439099 125967911 141700502 19475707 1000000000000000000 149942000 123918903 99640687 59677548 1000000000000000000 596908648 46307653 433138360 146799960 1000000000000000000 16872915 3380226 15683063 6360651 1000000000000000000 701206374 195227455 595065513 104101300 1000000000000000000 845350705 35990468 171297980 157789200 1000000000000000000 981480781 652114547 488641890 38537594 1000000000000000000 365609455 215594532 331242878 342115659 1000000000000000000 996000301 902425322 430035041 810596461 1000000000000000000 255470872 163644444 136410733 211567766 1000000000000000000 953158652 256134535 599304669 512981255 1000000000000000000 937789498 763983328 928260893 85206306 1000000000000000000 202907121 103762611 64456013 3208906 1000000000000000000 912293818 586902253 770578800 884734595 1000000000000000000 281672639 106049702 102402960 82547931 1000000000000000000 573298856 324592313 396518256 347923105 1000000000000000000 758126610 141418168 134667610 492821328 1000000000000000000 536471782 198246543 58343727 108719276 1000000000000000000 263444498 147706043 159103699 31444364 1000000000000000000 900634240 117651203 844651009 152336082 1000000000000000000 192642370 183652042 98303451 34841560 1000000000000000000 229420350 167342671 74325522 26654265 1000000000000000000 568405503 266137830 495499896 385081137 1000000000000000000 701384571 341958956 10708158 515383554 1000000000000000000 687456435 407755981 329827523 16882681 1000000000000000000 738437561 497428596 52379325 633786818 1000000000000000000 629229816 437686530 103582813 496538377 1000000000000000000 977323307 913365258 213132282 558684016 1000000000000000000 293928791 95892637 278820666 216135931 1000000000000000000 674755217 165800914 361469507 555393423 1000000000000000000 709213641 394629875 281122648 445405224 1000000000000000000 455197729 340248667 168315585 157483783 1000000000000000000 535190174 274443285 393533755 270214234 1000000000000000000 74522681 49584129 24049809 51460812 1000000000000000000 772064678 563998823 36190079 120467444 1000000000000000000 752931645 225415723 427437284 391580936 1000000000000000000 457542334 278315686 197997427 413980513 1000000000000000000 58821837 17740016 45826770 33442192 1000000000000000000 669120959 178745822 328916119 539168317 1000000000000000000 614657258 259253607 341090855 187424954 1000000000000000000 537768100 75377084 127349516 168245052 1000000000000000000 287877564 1773006 152426027 221584402 1000000000000000000 972184263 341434884 597750247 691528924 1000000000000000000 922258555 498210753 384358115 516392140 1000000000000000000 52103628 35966471 15873436 48411384 1000000000000000000 617722724 126258247 78355376 474246550 1000000000000000000 465673204 110159486 339602901 351720886 1000000000000000000 305154716 88589420 236376061 155652496 1000000000000000000 994478424 844364183 207156681 928787473 1000000000000000000 658505363 332558529 592839402 344775982 1000000000000000000 219843790 193802281 106943404 67996196 1000000000000000000 63657298 49432591 6518638 12097669 1000000000000000000 921057315 334187587 354366142 736241175 1000000000000000000 63183309 24381276 59497498 43235493 1000000000000000000 938315760 40305860 720158754 415303181 1000000000000000000 557621212 46382284 34969834 525508277 1000000000000000000 860084288 775224481 761605876 560305989 1000000000000000000 404202195 150951400 65269038 169184000 1000000000000000000 895161126 791084695 774412707 26688940 1000000000000000000 408781490 39642994 345178894 250313248 1000000000000000000 143780924 38380675 59614090 137846733 1000000000000000000 377288213 304452971 127836896 79496242 1000000000000000000 753013849 706106063 457054164 41074613 1000000000000000000 96185346 33864823 3117911 7041625 1000000000000000000 51777015 5636832 16383565 43708030 1000000000000000000 735299897 687765252 477101043 614282190 1000000000000000000 455550965 186751603 396453805 136349412 1000000000000000000 466807376 347646911 368571242 285707307 1000000000000000000 44678216 14190857 20322135 26556608 1000000000000000000 541543254 526052052 187635973 246303573 1000000000000000000 418711636 316385908 84048075 371298499 1000000000000000000 592337086 277153429 266484719 217255602 1000000000000000000 468753618 256629566 318347252 108666223 1000000000000000000 448113222 319592153 421137396 190582525 1000000000000000000 85305565 67377030 50607875 45649899 1000000000000000000 541149540 179256051 462624686 270884502 1000000000000000000 513960783 148141127 261189566 289008784 1000000000000000000 965184953 618169014 263030439 606262915 1000000000000000000 865001918 422778461 753973678 12690407 1000000000000000000 645092666 496136125 214501662 72180350 1000000000000000000 485727637 470365543 198943150 464563469 1000000000000000000 27568581 13040328 22285454 8483523 1000000000000000000 389717297 214452614 23856499 379333238 1000000000000000000 491615760 410826338 232810268 278951832 1000000000000000000 27677149 5991297 11908885 11226360 1000000000000000000 623568934 94911 322428926 227286437 1000000000000000000 903159866 837988925 555343360 258405885 1000000000000000000 667029675 274314613 327344654 210005181 1000000000000000000 389260417 308742173 31324900 14290734 1000000000000000000 891848567 772084359 488430591 7244493 1000000000000000000 748953090 99972490 69697277 600706146 1000000000000000000 847745702 659328830 812540247 155708574 1000000000000000000 981132107 52571192 774483101 672908193 1000000000000000000 704037874 20334972 110869645 498623915 1000000000000000000 248387335 214483089 224025907 29224337 1000000000000000000 467024298 425024642 130964574 236495449 1000000000000000000 966304910 403815288 10977755 91937414 1000000000000000000 138790672 80438844 86319068 87493688 1000000000000000000 680998430 130227249 358483481 457175256 1000000000000000000 144015261 70926606 38854048 96006903 1000000000000000000 23948252 12627960 12884316 499252 1000000000000000000 714048037 354342251 384214065 389294037 1000000000000000000 80761610 50177954 44188207 38134671 1000000000000000000 299270500 227403319 146303781 235615997 1000000000000000000 886701601 313703444 359179559 711905007 1000000000000000000 502252878 262207970 423559563 87587526 1000000000000000000 405662876 143744253 106848769 196770390 1000000000000000000 694569327 433273883 159397007 640605118 1000000000000000000 662438118 645470411 143795991 182734222 1000000000000000000 794380683 25428702 231991380 659241134 1000000000000000000 848219256 489546268 569461470 816237184 1000000000000000000 530853493 330864726 43220911 179095318 1000000000000000000 948869021 375496496 379362096 457939676 1000000000000000000 243872344 32037903 21566704 171709335 1000000000000000000 335259911 36374065 291769600 14488537 1000000000000000000 50212605 48087900 40741956 10811288 1000000000000000000 119090207 49091725 66607461 77060911 1000000000000000000 220448880 177187199 151431347 183298288 1000000000000000000 953538703 694056642 531833751 228164214 1000000000000000000 611882062 249049740 143832630 218268110 1000000000000000000 41298533 11534189 5473263 29907824 1000000000000000000 812022689 331365368 551075991 593424179 1000000000000000000 36040104 21179459 30043539 2821691 1000000000000000000 633731788 630981095 372704223 33179636 1000000000000000000 918056008 794020147 908298589 447806816 1000000000000000000 275181642 37244225 41544321 21503944 1000000000000000000 546388357 248614759 220388763 110179447 1000000000000000000 964867851 302814685 343885557 831003369 1000000000000000000 969789053 830783828 764469806 477568348 1000000000000000000 547015095 25274557 90517039 162291000 1000000000000000000 970199639 468084588 359641917 189516212 1000000000000000000 696035373 500056766 449792990 403587513 1000000000000000000 13588826 3114319 2435224 2991629 1000000000000000000 388151331 328441827 366321569 198378306 1000000000000000000 84275339 49210192 79852992 10130403 1000000000000000000 137167897 100474109 21035828 87783537 1000000000000000000 210512787 165934015 137476499 79111929 1000000000000000000 397070968 381967873 336402635 122636873 1000000000000000000 381606643 168991947 202686111 97318344 1000000000000000000 893393109 727563240 690449709 571101886 1000000000000000000 577167135 120874605 8313133 356738307 1000000000000000000 118569534 87008778 104171753 26426442 1000000000000000000 485071004 41639415 431547285 199594065 1000000000000000000 310560380 14979541 72189516 162930279 1000000000000000000 642216976 574755187 115396921 170398649 1000000000000000000 488359809 304453186 253146978 279550135 1000000000000000000 662253535 440195401 244823633 502875774 1000000000000000000 242836806 157589363 166544367 214091944 1000000000000000000 160442648 122884270 66935533 147607501 1000000000000000000 129728361 119540140 113333604 19509758 1000000000000000000 796369406 83742863 156053017 562010529 1000000000000000000 935212044 46797356 367214892 479609883 1000000000000000000 480965185 172032452 338321415 200635043 1000000000000000000 359447006 234065719 228112367 120268585 1000000000000000000 129573641 55904875 75755595 122683089 1000000000000000000 649811794 483500455 446616660 353913224 1000000000000000000 727742972 643873037 554074332 590557456 1000000000000000000 914718267 251247537 758943942 811830928 1000000000000000000 872437312 671492426 572708738 345335599 1000000000000000000 89646616 85599102 13796854 59280402 1000000000000000000 71056438 48077657 26143006 53046923 1000000000000000000 731266027 533400346 433381620 476025576 1000000000000000000 961695661 836833274 112181667 84826628 1000000000000000000 907216348 45574233 607475462 317062476 1000000000000000000 997082516 460783966 30004944 546732350 1000000000000000000 287866480 68099098 272376007 70574106 1000000000000000000 224180863 73233704 219096349 95300177 1000000000000000000 678632308 9615107 505348161 578686401 1000000000000000000 590309300 407180591 178873579 547261849 1000000000000000000 619779737 21122506 548741482 567961499 1000000000000000000 369007917 24157710 343947191 270327030 1000000000000000000 650003666 279158394 224075582 265349030 1000000000000000000 157632736 130947735 113298785 27425139 1000000000000000000 833850631 136045924 451673882 489540998 1000000000000000000 58275009 19427988 35021574 17312135 1000000000000000000 602345308 191933624 398638877 417187538 1000000000000000000 447800742 420723729 126775790 35475659 1000000000000000000 895821526 459467254 436258197 684960095 1000000000000000000 989066217 556663594 401823747 491829787 1000000000000000000 655876971 452361838 636448453 463120110 1000000000000000000 336766865 123745315 133729500 246397691 1000000000000000000 646218502 15537890 249285572 324729638 1000000000000000000 83491549 13265692 26823044 77287457 1000000000000000000 99617252 8120135 82127427 42344591 1000000000000000000 646296929 565840585 540409658 224086886 1000000000000000000 391068243 128975278 339220603 23582771 1000000000000000000 744603676 95424964 37802403 620825188 1000000000000000000 101547160 2065056 43509289 78456344 1000000000000000000 619185842 458888501 347469473 578539745 1000000000000000000 576567325 258242231 429530372 213154598 1000000000000000000 966582334 280987772 223672094 301036314 1000000000000000000 932281803 27738319 807083092 640870155 1000000000000000000 397550529 80865340 134095987 60786266 1000000000000000000 368797736 271391444 141132445 250937367 1000000000000000000 118354120 65968072 22111637 5720693 1000000000000000000 602969843 342653236 47604017 339971106 1000000000000000000 797994607 477160946 274492580 328431805 1000000000000000000 993128654 717687974 307573208 393527320 1000000000000000000 463836489 249896810 95992384 438983285 1000000000000000000 893108240 740090385 792724173 891932802 1000000000000000000 911682021 259079199 875005148 704918758 1000000000000000000 345830224 161216887 111230066 10505527 1000000000000000000 787554069 245862605 145402545 303800377 1000000000000000000 460667252 395723196 69459633 165211482 1000000000000000000 31648608 25852667 24632899 25911633 1000000000000000000 931734692 774803629 225115903 575208995 1000000000000000000 497160074 112324466 489021766 380846805 1000000000000000000 291803704 134979567 12625666 111796773 1000000000000000000 825919429 241305312 107317841 262731181 1000000000000000000 923763233 67704812 671494739 565079897 1000000000000000000 235670074 65127305 25463088 76155507 1000000000000000000 747851266 614563450 673772458 106316787 1000000000000000000 998407117 217114561 98533604 616426353 1000000000000000000 661896201 41444281 654148152 36678844 1000000000000000000 466241507 84353920 346727989 372794621 1000000000000000000 473882516 146588223 277293033 127741434 1000000000000000000 471257141 404105183 280289973 131793043 1000000000000000000 486581153 23487709 198295724 208060267 1000000000000000000 418864565 273859244 92337399 242254482 1000000000000000000 74220440 37687790 44063597 21799050 1000000000000000000 112952479 86315592 59324310 76787463 1000000000000000000 551191916 105678972 257240537 435021162 1000000000000000000 300318744 131301105 224612983 267361017 1000000000000000000 710045468 71427035 241986716 553546403 1000000000000000000 455050333 299301573 263053930 177047455 1000000000000000000 392367566 113755554 318352780 200908073 1000000000000000000 392906292 164779424 189174756 158666786 1000000000000000000 606870913 484425872 569579484 175570249 1000000000000000000 1825228 1663145 361901 458239 1000000000000000000 650776928 511421523 226487321 447508802 1000000000000000000 13178640 3673019 3670231 5753539 1000000000000000000 77228545 76237557 29792607 75589937 1000000000000000000 381377821 42120718 257610343 131133106 1000000000000000000 308735388 74051536 174871271 193297739 1000000000000000000 19027441 377997 4438467 8573201 1000000000000000000 883681444 36139129 506577055 583596643 1000000000000000000 924225022 592081937 347620256 799584240 1000000000000000000 286571940 6942997 262307027 273214366 1000000000000000000 842305715 438424677 524870306 482640724 1000000000000000000 378244077 321110744 59737163 28737438 1000000000000000000 897537236 94750102 547261816 819660986 1000000000000000000 827242359 315516978 254792569 239431875 1000000000000000000 703491151 179410059 523713498 79442123 1000000000000000000 181324964 98287489 122419830 149901346 1000000000000000000 125659300 87827358 66579548 115297137 1000000000000000000 950674685 148507072 380434165 570914883 1000000000000000000 425780004 14775518 163509111 394017757 1000000000000000000 756422030 188611059 306468997 187538894 1000000000000000000 950507119 647399390 356732111 710348936 1000000000000000000 182872070 72885844 74233227 61876017 1000000000000000000 174908115 165193209 167250081 61279554 1000000000000000000 975603579 803335502 755405964 563743576 1000000000000000000 989791406 549856213 903001248 159563393 1000000000000000000 632091118 197621552 392726596 397322283 1000000000000000000 727047380 124890650 419888691 594523396 1000000000000000000 268150506 140350502 198774949 233066440 1000000000000000000 6622923 5604912 3507578 934484 1000000000000000000 244005623 117175101 214271442 137826854 1000000000000000000 148097250 39608014 70605265 113503832 1000000000000000000 990180344 442635815 67489935 120638850 1000000000000000000 305551012 51468620 207161889 104481132 1000000000000000000 886209681 371344266 286227894 755254189 1000000000000000000 604363026 51621752 447347354 24133655 1000000000000000000 26188888 15790097 20013705 12623553 1000000000000000000 629020905 435896613 426620486 90454077 1000000000000000000 68918575 63942968 55560955 34731854 1000000000000000000 610748035 251279565 610629166 210494283 1000000000000000000 27588402 19863267 11677174 15855063 1000000000000000000 661816192 185970079 400712673 240353160 1000000000000000000 24419894 12017650 2770461 2998425 1000000000000000000 154017557 127401932 58183588 141424452 1000000000000000000 583948757 527059579 90619864 69553022 1000000000000000000 71168295 49992049 64142051 46726261 1000000000000000000 930261825 428882934 595430528 268413369 1000000000000000000 175428769 34610813 153057108 98565668 1000000000000000000 250599958 130920774 4576298 216903541 1000000000000000000 196048717 30363807 126621305 17909844 1000000000000000000 98750388 60824174 60228267 85283573 1000000000000000000 811632352 482241774 122468722 347497679 1000000000000000000 745083146 36789437 455309455 268918684 1000000000000000000 74634984 34390721 17028462 43696617 1000000000000000000 600903761 44392713 390469785 544573898 1000000000000000000 691478066 664060117 624194833 29394965 1000000000000000000 757024729 342674841 428292035 307055012 1000000000000000000 535272115 472513783 320576307 426763904 1000000000000000000 972881029 184254352 926015997 213674059 1000000000000000000 144207684 23245164 102977011 82631351 1000000000000000000 951275809 475961958 794219096 645605182 1000000000000000000 543212569 214492275 321354873 204850605 1000000000000000000 427999136 286175633 4758674 127653243 1000000000000000000 765946583 192724765 370751263 190491412 1000000000000000000 887093422 587471733 134258393 635674975 1000000000000000000 794968291 414038715 626179085 78281748 1000000000000000000 794255214 686097952 302364423 294888871 1000000000000000000 530416911 478848677 52071966 165798662 1000000000000000000 350586538 314824305 54331189 320216263 1000000000000000000 364998535 158667323 175430716 143750886 1000000000000000000 666717197 521974302 250304699 184258874 1000000000000000000 620867819 33525613 220094319 419763249 1000000000000000000 394879153 41313973 323187375 346335342 1000000000000000000 656286165 61216474 340648383 356347369 1000000000000000000 136551465 35296790 125089402 9037129 1000000000000000000 369408373 240941515 35692527 61036366 1000000000000000000 367550642 261933605 366742958 28308836 1000000000000000000 398367707 345075308 47676622 288359686 1000000000000000000 215704654 168794244 90954688 40584724 1000000000000000000 267099187 16781104 253321379 84728269 1000000000000000000 380124758 122576296 2384733 180029794 1000000000000000000 791888809 146143217 390451528 272903168 1000000000000000000 828025763 493443782 116295210 573202491 1000000000000000000 832559070 659458055 378073710 561721678 1000000000000000000 475817964 238416147 379601287 411929525 1000000000000000000 697433461 561732704 596430946 252955096 1000000000000000000 174321616 153571409 158247432 119724803 1000000000000000000 294380701 100018213 128762800 119358392 1000000000000000000 28466342 16660051 7446987 26182050 1000000000000000000 765733899 405407421 120969501 674168668 1000000000000000000 460409923 244623447 120197368 40960962 1000000000000000000 24390573 10616926 11052067 14359383 1000000000000000000 616943019 612252530 23217019 312539811 1000000000000000000 951723201 291712990 440826539 288085937 1000000000000000000 547842697 336045430 270660169 526521498 1000000000000000000 218356875 122947723 75281668 195148019 1000000000000000000 835786868 813340430 595296998 236012296 1000000000000000000 100988794 35532872 96364421 82881337 1000000000000000000 460087882 301321829 415351792 406812261 1000000000000000000 504865496 259756126 495690363 238651887 1000000000000000000 942762136 516192592 300685750 820194064 1000000000000000000 17542606 8449378 4911806 10213381 1000000000000000000 498789917 379397369 122002243 109685392 1000000000000000000 544470231 490831695 82935577 429664538 1000000000000000000 923191207 566554966 133135986 670133776 1000000000000000000 932729680 79734131 829895359 597091552 1000000000000000000 354160115 28700031 189132794 233951760 1000000000000000000 167973866 68995261 12983164 100960007 1000000000000000000 910656446 434709184 541050839 195291051 1000000000000000000 194667017 192577916 154106198 60246571 1000000000000000000 616053895 225105330 153749062 139702686 1000000000000000000 444459725 71056472 241422003 209984972 1000000000000000000 838656580 519637421 47188805 328224565 1000000000000000000 185968387 7486478 18062312 31616828 1000000000000000000 692012599 598652080 272544022 567736069 1000000000000000000 679193366 234026199 342330693 354264608 1000000000000000000 470503652 354965063 461540689 347079313 1000000000000000000 529950506 3748482 362114091 312408294 1000000000000000000 114093406 1221840 59704967 57048884 1000000000000000000 596746439 441030832 33685905 6541430 1000000000000000000 275384617 85937117 116236486 215276341 1000000000000000000 87238919 10401169 38347498 12023358 1000000000000000000 365216585 147106719 199268190 345354413 1000000000000000000 829651201 681166146 426875054 41009504 1000000000000000000 303598973 271297829 226690079 120670689 1000000000000000000 376346813 132467771 184666515 196067737 1000000000000000000 11270963 8418616 9339573 6305731 1000000000000000000 787225162 89946767 692049476 127368246 1000000000000000000 571796134 101066683 226527002 507453421 1000000000000000000 182820205 112525791 19163047 170602592 1000000000000000000 553410055 50416964 30433262 410284112 1000000000000000000 806352894 660774759 787092703 535669373 1000000000000000000 981047057 21032857 733187224 668476867 1000000000000000000 865451866 790272418 223351397 606012860 1000000000000000000 363561609 294328595 228837064 334503482 1000000000000000000 706011461 59328083 615521183 409870721 1000000000000000000 612193403 572387663 540496025 371286809 1000000000000000000 921782106 9393065 880191163 453645799 1000000000000000000 369426667 103055283 260443958 304307802 1000000000000000000 797672833 134286749 570496954 15258659 1000000000000000000 762355661 250705176 285322787 718128658 1000000000000000000 869901747 545174189 681579884 832007061 1000000000000000000 529426748 177187904 392603767 262410362 1000000000000000000 715464710 594097110 512586659 57460724 1000000000000000000 398214409 139071910 383109165 165865861 1000000000000000000 539044941 137125391 25373178 415014894 1000000000000000000 323652333 12928895 307512922 316405253 1000000000000000000 287895557 239102247 35875230 154925217 1000000000000000000 350450537 338190852 343992632 332773622 1000000000000000000 48964696 16397496 30351296 24306957 1000000000000000000 727050083 494305175 272089367 335060941 1000000000000000000 733473403 102517027 680447216 22122791 1000000000000000000 309972516 73087794 137149404 200781540 1000000000000000000 871062699 254841644 210053292 306723714 1000000000000000000 708696092 267771105 261583566 425027593 1000000000000000000 868590007 862611794 286868426 856685872 1000000000000000000 212991597 197814155 64380213 42100469 1000000000000000000 200939345 191721452 51116213 39761298 1000000000000000000 481521665 37181887 348582482 347810573 1000000000000000000 500627185 48917772 273057745 492001935 1000000000000000000 943918169 714442251 896757450 371948737 1000000000000000000 466637753 119787305 15812270 43881929 1000000000000000000 541024208 524364224 168090987 89179742 1000000000000000000 448314594 226363737 219789954 194904017 1000000000000000000 556648260 545015192 257551138 109108628 1000000000000000000 352385349 188880681 257741588 2956669 1000000000000000000 42663242 34245954 9225018 818446 1000000000000000000 921453535 7359541 774919350 464705727 1000000000000000000 855503446 798494215 759700504 652965423 1000000000000000000 847178707 210009903 530749473 666954122 1000000000000000000 325434572 62670655 159078666 65934399 1000000000000000000 617714788 143656197 371168493 90481853 1000000000000000000 231661842 40566804 208172223 136881584 1000000000000000000 490325146 457151637 62175617 194255021 1000000000000000000 579181611 274434516 146951136 314518759 1000000000000000000 957735654 256924008 97708932 622912446 1000000000000000000 89438696 21988564 60356980 15903423 1000000000000000000 919170783 30232868 617472281 5814610 1000000000000000000 146298126 121543227 1493668 87220163 1000000000000000000 715570238 401852665 353109336 90118166 1000000000000000000 53221552 20635803 47166433 28721096 1000000000000000000 4524613 354790 3043239 3493900 1000000000000000000 650329336 529052590 387378854 144407511 1000000000000000000 994061640 623905036 148934837 829839007 1000000000000000000 856846990 415925088 795575299 816541711 1000000000000000000 542038727 247176045 476287285 488560072 1000000000000000000 817786181 263838027 45954361 4994893 1000000000000000000 794762708 23867721 621066325 333299579 1000000000000000000 354678863 19608484 119779720 29450463 1000000000000000000 910349094 528212815 208432234 415220067 1000000000000000000 39580692 38624865 22447372 22792942 1000000000000000000 32798045 25848658 27972884 24984835 1000000000000000000 191554611 122959082 75741937 63627249 1000000000000000000 845584216 372710023 533445662 219444895 1000000000000000000 884326232 567732727 322960958 771151148 1000000000000000000 436994507 248828714 382107706 171673800 1000000000000000000 493779083 353895684 43153937 470513764 1000000000000000000 772568937 254070458 662416665 565102989 1000000000000000000 756442242 482993767 706365443 480773772 1000000000000000000 757983379 629310704 245436229 504400357 1000000000000000000 343213933 219065886 11534856 257336561 1000000000000000000 711310530 290991170 7228849 300337275 1000000000000000000 814467892 713595707 505047658 601218218 1000000000000000000 965837744 178387849 391899571 815391110 1000000000000000000 290038622 261068093 229041548 227548667 1000000000000000000 630807202 166577557 315996546 269765417 1000000000000000000 850063666 60403153 195898958 390475392 1000000000000000000 18580595 3139744 14711638 5883208 1000000000000000000 953771045 413185787 64055460 783843260 1000000000000000000 499186353 348190349 53475492 412806951 1000000000000000000 801404379 619578542 487624323 322648419 1000000000000000000 686701267 368303851 507284514 450030170 1000000000000000000 984680575 423252657 391405329 585427715 1000000000000000000 888835969 414966455 170715839 813824726 1000000000000000000 907651969 565267685 303332725 846528509 1000000000000000000 189778897 48330143 77000941 45347635 1000000000000000000 184181197 107326318 3060013 120716730 1000000000000000000 591935195 355966660 142986485 585777709 1000000000000000000 125771918 90267262 71245322 43600529 1000000000000000000 342713864 50059754 223683318 148610386 1000000000000000000 997291799 889424335 320417581 910540657 1000000000000000000 500482115 237268347 173789989 478253661 1000000000000000000 740346458 364544341 735047384 737533750 1000000000000000000 901625528 542583390 194556429 328690024 1000000000000000000 884188036 770432079 258147785 284871504 1000000000000000000 402426735 311102070 175421982 21517140 1000000000000000000 293075129 964268 31415628 218553056 1000000000000000000 652099510 133182903 608571673 95436385 1000000000000000000 902643602 348559216 637693338 443805739 1000000000000000000 253171253 191439182 226713386 169941515 1000000000000000000 790847350 768915766 690592204 304712479 1000000000000000000 809653990 162523161 134414053 221354155 1000000000000000000 3070622 869907 489447 2996617 1000000000000000000 461716862 85678520 459791174 330522140 1000000000000000000 270452592 167651322 200396446 50650009 1000000000000000000 512097238 262639826 279386244 85021355 1000000000000000000 157086948 7513878 28368863 72277881 1000000000000000000 149520478 123247528 65011894 84178663 1000000000000000000 7550336 962807 1103666 2642140 1000000000000000000 89811256 38578632 20794782 75000025 1000000000000000000 525718092 344371143 392295943 220592025 1000000000000000000 359226908 70404733 298519440 354990536 1000000000000000000 992231027 824635485 392018344 677056539 1000000000000000000 243810094 119268872 84853307 156932382 1000000000000000000 216485758 53769093 168058434 178290527 1000000000000000000 111883446 66193420 100978122 106738590 1000000000000000000 32914725 23843323 20051747 14984302 1000000000000000000 9151661 3298508 3397139 368128 1000000000000000000 296950448 278133033 166245594 81000083 1000000000000000000 878669676 34272793 864244157 95050485 1000000000000000000 697449194 616310186 237643661 254796977 1000000000000000000 117106810 41091047 1269736 107055907 1000000000000000000 789581963 725077770 689374322 782091560 1000000000000000000 699369025 95571068 273782041 563882868 1000000000000000000 97663145 52897974 96048009 13206082 1000000000000000000 427452497 350092457 365760589 287163105 1000000000000000000 276873010 110686853 210909514 118246497 1000000000000000000 337358331 218209609 318493025 197997443 1000000000000000000 213606261 69563239 160504473 162351451 1000000000000000000 929194661 103337411 601398713 854410573 1000000000000000000 806321473 146659980 598226391 61954944 1000000000000000000 887025868 696655294 303116546 644529289 1000000000000000000 673050447 506990109 65434686 359849140 1000000000000000000 157776836 64380978 53291261 24452499 1000000000000000000 59294159 44311084 15972272 48595693 1000000000000000000 594396574 440876808 534091796 562461758 1000000000000000000 656365114 643055506 488729200 599826915 1000000000000000000 508388656 3954523 143432988 64301956 1000000000000000000 480414285 243546103 192631254 350483552 1000000000000000000 643450473 596150687 380172812 21033898 1000000000000000000 749114291 220492091 255161895 218156051 1000000000000000000 508547722 499470521 8255393 148827778 1000000000000000000 645554925 137038079 194907077 291901960 1000000000000000000 94281234 77718810 83452842 19865957 1000000000000000000 898156299 898074275 374323722 538606294 1000000000000000000 682684663 613145939 304391288 594792230 1000000000000000000 804630307 463804756 342682519 752299153 1000000000000000000 204873382 70792982 112838707 169161596 1000000000000000000 964221576 756604248 493758680 409437616 1000000000000000000 234784606 80464322 130308227 161543106 1000000000000000000 75603805 52132980 45298362 18699555 1000000000000000000 346420580 16167759 208456024 340855865 1000000000000000000 672960365 657249023 385695036 314913652 1000000000000000000 85184278 11933816 80226107 72065024 1000000000000000000 639373969 106866725 618046752 581732879 1000000000000000000 294835191 293936922 253114806 104426989 1000000000000000000 978351990 154022490 967602121 705524250 1000000000000000000 106192039 53779412 58085569 104808848 1000000000000000000 93416632 86443658 58178636 36812042 1000000000000000000 77146638 44760884 40893715 27873270 1000000000000000000 954126194 707837919 880386395 920633459 1000000000000000000 797438784 625203992 214404272 236708179 1000000000000000000 960898734 217941792 763344154 356514048 1000000000000000000 918449887 643203982 769175552 656626503 1000000000000000000 995824722 242441943 15981475 714098175 1000000000000000000 699659382 552296481 130322957 664737186 1000000000000000000 858660257 667785000 576306002 286792842 1000000000000000000 960562176 413572560 504936443 106188550 1000000000000000000 540678226 70864761 106715252 439555434 1000000000000000000 148185643 141354495 48935419 52954482 1000000000000000000 648226032 458629343 253626257 183842618 1000000000000000000 389573907 282827689 325815976 37218340 1000000000000000000 426860942 213521633 250689025 56604275 1000000000000000000 190857330 165957103 157835264 32738434 1000000000000000000 140784292 88270821 39621274 41587911 1000000000000000000 814191650 801410013 258451854 162884481 1000000000000000000 92281502 4282760 32862054 12964416 1000000000000000000 833969962 825548175 306063220 513232162 1000000000000000000 56588934 42076288 42992340 4432754 1000000000000000000 966332746 63489090 288872772 636577531 1000000000000000000 952359119 71882191 113492313 919330218 1000000000000000000 797934953 453484078 793674814 795648693 1000000000000000000 276064080 231560322 132733823 185729187 1000000000000000000 166844102 154916227 141450065 56752138 1000000000000000000 468467574 169112421 186505813 293091221 1000000000000000000 199405872 99020130 25992191 73643675 1000000000000000000 889187324 369561368 778709187 555467817 1000000000000000000 585763733 372711061 236135700 119725225 1000000000000000000 71098413 5536392 28493461 55740628 1000000000000000000 433705633 242027646 268769794 349852453 1000000000000000000 912870446 617579674 799590406 560957119 1000000000000000000 851691740 107422795 836199151 415135066 1000000000000000000 125778967 31796397 110331571 83598029 1000000000000000000 331783482 257037236 216613218 11008071 1000000000000000000 113484861 55791280 32498524 84174855 1000000000000000000 611999726 192216647 300773653 127621041 1000000000000000000 827610076 578780008 447580232 289977436 1000000000000000000 234180332 103410052 225517617 170521808 1000000000000000000 864550315 221088110 449818671 464938577 1000000000000000000 448099021 217519520 150021789 168249641 1000000000000000000 315882476 218012753 309192410 91178003 1000000000000000000 482442862 302151754 152258935 238249496 1000000000000000000 435536492 110061698 416461642 427817173 1000000000000000000 444878048 323192911 183241837 67834524 1000000000000000000 563562535 159315976 249992562 225810293 1000000000000000000 903148474 390165519 702980173 289084155 1000000000000000000 216875870 30040557 117067394 149095775 1000000000000000000 47882040 46287048 43222259 13984844 1000000000000000000 762497828 33283864 260707763 480526516 1000000000000000000 310988338 302543927 162678630 20340724 1000000000000000000 6154354 5342678 2959698 2837226 1000000000000000000 882371277 464351902 535178143 703094616 1000000000000000000 476699344 336509914 28634067 90075002 1000000000000000000 157577003 33273355 62026618 1782805 1000000000000000000 234760532 203673572 139242816 88207113 1000000000000000000 639054883 616239108 605520981 390155539 1000000000000000000 317462370 105948008 66220199 251710331 1000000000000000000 299974088 206664879 130155952 184751758 1000000000000000000 574253481 530575529 469793050 526158528 1000000000000000000 603162339 421284098 385775327 105386171 1000000000000000000 597434089 157848131 444356444 303304040 1000000000000000000 690685718 368175157 551137625 630066294 1000000000000000000 142776938 40144111 9801535 24625207 1000000000000000000 21696366 18103444 20289317 19655251 1000000000000000000 62908225 39881606 49364244 48858217 1000000000000000000 927658965 160400141 161569240 330721102 1000000000000000000 845917051 780420304 833846262 684822369 1000000000000000000 715632876 289093074 55316130 412937550 1000000000000000000 597415013 207334043 483188317 18056727 1000000000000000000 467738994 44784370 338056217 120204549 1000000000000000000 819196503 408015932 588018017 798878045 1000000000000000000 185007993 38243737 106549189 126846907 1000000000000000000 294258164 57571541 49807021 172758339 1000000000000000000 950708876 771288749 5977064 419494719 1000000000000000000 906694894 599194695 365946440 665417732 1000000000000000000 366472181 158022809 222002000 193410822 1000000000000000000 792134427 540801901 692914404 443380610 1000000000000000000 756333238 255127423 692442262 306586151 1000000000000000000 48902882 1440832 4164788 35780316 1000000000000000000 622310365 256579225 585671363 33383762 1000000000000000000 646715259 508653964 82801435 312767167 1000000000000000000 888804021 722304285 338814185 204886613 1000000000000000000 159667598 13579476 52815158 151689017 1000000000000000000 417401417 193264371 16410332 397901652 1000000000000000000 389820599 376047133 143707144 351766690 1000000000000000000 77633310 77066690 56732169 65771133 1000000000000000000 693007031 346984984 238230805 107995918 1000000000000000000 55201790 54918395 23173000 25035328 1000000000000000000 204292593 168428437 139644268 99448987 1000000000000000000 277079402 204558668 138460252 30295139 1000000000000000000 8203079 1267624 6345933 7495344 1000000000000000000 871472335 502986279 60935806 205744997 1000000000000000000 624328369 294041823 169128159 23680220 1000000000000000000 567838520 287267525 176166288 213884356 1000000000000000000 848429718 845102788 763381989 787871132 1000000000000000000 534176245 386370137 138575976 134700370 1000000000000000000 307023116 284229787 219530127 258692458 1000000000000000000 153173078 3956331 74549677 95054751 1000000000000000000 219269199 85086703 89390576 14295154 1000000000000000000 827873682 776565768 730641405 329244361 1000000000000000000 307388732 265621366 109894171 192290185 1000000000000000000 309222588 251101773 289952873 109797281 1000000000000000000 743681764 640844161 378616454 509212012 1000000000000000000 806551960 629491420 25151367 574106679 1000000000000000000 629727488 548454068 36045765 284005218 1000000000000000000 307225660 281074376 156907450 118085968 1000000000000000000 120418093 79934948 18765652 118462244 1000000000000000000 372130678 294089144 125024331 98996438 1000000000000000000 575746541 263514258 306888439 456240542 1000000000000000000 457895074 85608324 167129441 355446974 1000000000000000000 779840080 715890806 272712249 582720779 1000000000000000000 234779165 89927640 193495884 29889574 1000000000000000000 507699061 466419815 168454273 330737630 1000000000000000000 226879949 10678662 156694411 92567470 1000000000000000000 864885797 71841035 672531876 643868854 1000000000000000000 151107892 19254324 143358862 3270003 1000000000000000000 556067179 268628634 469029597 312831383 1000000000000000000 337956759 85069453 177425354 217193536 1000000000000000000 677656597 404787372 310693670 172568124 1000000000000000000 106285943 64277809 69439360 28176936 1000000000000000000 123881442 109721078 47820715 81977139 1000000000000000000 945605423 886227327 498429563 509348155 1000000000000000000 726789566 417566097 134682189 512406047 1000000000000000000 816932073 747754644 572564391 365091097 1000000000000000000 354908212 145624342 213982854 250198113 1000000000000000000 226407796 78240501 190861187 62605861 1000000000000000000 236204755 119290700 65336563 112901809 1000000000000000000 918212759 169840990 481183050 591698133 1000000000000000000 550521914 525713449 246230236 199893699 1000000000000000000 979307484 432465857 693717862 4223883 1000000000000000000 244441022 40583921 197277237 39279340 1000000000000000000 946550333 913877185 482812154 499520072 1000000000000000000 259725298 228646717 71364295 20530058 1000000000000000000 707761156 81527718 146629577 369242196 1000000000000000000 480727427 303193289 300003633 148868957 1000000000000000000 127585587 5948631 1717957 83885384 1000000000000000000 474150253 35639187 143465073 73039172 1000000000000000000 573781605 378335962 426226348 445474424 1000000000000000000 858396757 304676526 60022806 64473602 1000000000000000000 183997291 121920248 172203817 140900871 1000000000000000000 118844118 34535040 6558888 58263057 1000000000000000000 216116831 45837212 123433145 65190517 1000000000000000000 461742024 319064479 368289601 38769072 1000000000000000000 351214195 241007928 122682068 33489807 1000000000000000000 543135187 187492131 387170852 398987038 1000000000000000000 159797699 46144706 152177134 3144657 1000000000000000000 57212500 27880046 24776394 443573 1000000000000000000 170888996 122262976 21933042 116140012 1000000000000000000 664252752 331602447 292838329 106414806 1000000000000000000 673806832 400171066 483912597 510847186 1000000000000000000 229707589 82008215 217335632 88752489 1000000000000000000 204948875 69231657 30340280 68133861 1000000000000000000 550614599 113384545 279913348 307386059 1000000000000000000 188047856 105104543 183762521 8047807 1000000000000000000 839132875 207397094 341841203 700499215 1000000000000000000 322263302 239775486 167584560 120859550 1000000000000000000 132705554 129186666 112312853 7145627 1000000000000000000 551944521 310646471 87990113 272733724 1000000000000000000 248376995 168178850 245457046 36664509 1000000000000000000 248002690 247962763 127009714 183046835 1000000000000000000 11509187 9820491 6871778 796703 1000000000000000000 250506816 3683703 77179104 12838238 1000000000000000000 103224874 94525703 39652113 33717996 1000000000000000000 390647009 81677602 228882930 216811873 1000000000000000000 394530573 324516279 361123352 194363672 1000000000000000000 188087807 167523340 141130968 96172086 1000000000000000000 663692342 633072014 500838648 218372970 1000000000000000000 843340672 635680760 250458517 702189774 1000000000000000000 176519199 169237426 155125328 64971524 1000000000000000000 377578450 28413577 256252209 102272448 1000000000000000000 11787280 8256626 3568951 8954775 1000000000000000000 438650550 200193265 150893046 388496185 1000000000000000000 9111320 3129162 5535118 7437852 1000000000000000000 855178854 368506040 850336691 303319387 1000000000000000000 801973388 15032200 82075532 310591465 1000000000000000000 325509902 317164804 244451092 26505353 1000000000000000000 795695676 718676219 680026470 446771050 1000000000000000000 508258898 40670744 389876564 464209542 1000000000000000000 320221401 315933428 200766367 264386308 1000000000000000000 427347628 72544847 350022175 133788009 1000000000000000000 963693919 952397691 859169450 518660244 1000000000000000000 29619296 21499049 22083955 13822399 1000000000000000000 361404087 267595837 265081911 77333990 1000000000000000000 807193340 602464071 329895859 64091651 1000000000000000000 24027469 8967473 5596515 21428788 1000000000000000000 10790872 7572020 1396250 6786626 1000000000000000000 635278141 235096219 208249610 158016515 1000000000000000000 76212823 74098737 70360316 9688574 1000000000000000000 322311838 124576906 227786797 178943961 1000000000000000000 429948063 191674780 253261491 169908452 1000000000000000000 360745026 34176025 75715980 3047811 1000000000000000000 810940669 702788110 371093952 285531020 1000000000000000000 957257279 335618350 184376266 528815957 1000000000000000000 804024131 740113467 190049468 94885053 1000000000000000000 120484891 18500336 89496093 101735328 1000000000000000000 685205778 176718262 93449939 163697751 1000000000000000000 104003630 90756108 3951629 46594610 1000000000000000000 375702206 158584043 300055809 366335797 1000000000000000000 987966683 388966384 556538804 311547905 1000000000000000000 221082096 4258156 112824182 52269116 1000000000000000000 161912526 99346115 138456435 156232828 1000000000000000000 226872451 147395573 23061598 15255566 1000000000000000000 411539316 32178781 251187236 152356226 1000000000000000000 921547327 65043596 623298361 603811035 1000000000000000000 801456462 581634630 523667469 584586960 1000000000000000000 934504450 851533790 515167744 202276212 1000000000000000000 868241660 824023638 534956272 258447854 1000000000000000000 635674989 39949503 167280564 186403826 1000000000000000000 217809756 204128515 42311383 34525882 1000000000000000000 231133569 123931660 52307160 31367738 1000000000000000000 83149667 43318903 15314158 9255525 1000000000000000000 101457074 97347813 84429574 82864834 1000000000000000000 233209356 106628846 111227119 50987016 1000000000000000000 305236509 286000743 175311055 87074859 1000000000000000000 315954957 284849097 79058044 20661707 1000000000000000000 561251641 23402417 372948113 143066535 1000000000000000000 623641672 194236747 63256442 448863791 1000000000000000000 759224541 52464642 194699579 237979983 1000000000000000000 724867291 613335838 645836216 490154950 1000000000000000000 753421695 725128237 195660176 304836669 1000000000000000000 543821585 301722523 30736244 152555538 1000000000000000000 687044455 412424549 169053502 62191096 1000000000000000000 43023471 31271157 22204087 36365317 1000000000000000000 25223973 20312850 8047671 13860325 1000000000000000000 848827287 299300145 364881690 245785925 1000000000000000000 96805761 36108280 96537547 813492 1000000000000000000 455812936 265923097 158523323 386441369 1000000000000000000 205835567 15161541 111825191 147217907 1000000000000000000 201435891 3684692 121331814 93865369 1000000000000000000 333035495 207491653 247393320 70654980 1000000000000000000 814283304 591769715 526111777 411146028 1000000000000000000 310977889 59410891 195434110 221901634 1000000000000000000 540754624 190995019 369220365 506016695 1000000000000000000 547924622 420244341 300885410 45891520 1000000000000000000 334233156 74231144 135840397 182811933 1000000000000000000 688070312 407704658 158781968 620766977 1000000000000000000 106356603 74584023 45972100 38529304 1000000000000000000 453792585 241555523 188447656 105525083 1000000000000000000 793629842 174906311 359953894 117860525 1000000000000000000 647686849 232590829 290466102 32011709 1000000000000000000 270727829 125397511 19984231 156612539 1000000000000000000 913673384 199010278 30834955 631314844 1000000000000000000 280485654 64214494 243098741 218461245 1000000000000000000 20575775 7573231 1968464 2860317 1000000000000000000 697022570 411138311 166617287 258331647 1000000000000000000 535776628 465410814 245228843 511738380 1000000000000000000 483436621 470926043 432442437 312099469 1000000000000000000 711701656 448424483 326732366 32187114 1000000000000000000 84063156 75205284 12003496 3187853 1000000000000000000 533759612 522529487 240552631 43547903 1000000000000000000 935417700 568919323 490194725 569216233 1000000000000000000 695884443 608059246 12056211 637783671 1000000000000000000 926602076 329668319 554842704 807550152 1000000000000000000 481725665 126089231 31170056 280243485 1000000000000000000 389975200 226849989 349670489 382695875 1000000000000000000 461723987 111297558 341681123 137756343 1000000000000000000 667037221 142069308 555217275 370067282 1000000000000000000 754228297 479266638 169258642 625035268 1000000000000000000 711087318 138358911 360419029 14626575 1000000000000000000 571153433 381898514 241760252 534400608 1000000000000000000 53933338 19202376 45360252 32756426 1000000000000000000 440104822 123105837 414568377 160803370 1000000000000000000 233488839 44416695 161725084 10137014 1000000000000000000 988998856 494008240 878909045 173846324 1000000000000000000 560079082 403728919 240905197 314299059 1000000000000000000 606852885 297210105 528984086 181752824 1000000000000000000 636503946 125644299 408557382 584756541 1000000000000000000 647513234 378865155 10151377 321813339 1000000000000000000 857003984 811906288 213647262 563442274 1000000000000000000 245459164 161477645 45543520 81386407 1000000000000000000 366531051 186242973 48765867 246349650 1000000000000000000 417998243 208521748 204233101 242162634 1000000000000000000 776720495 730742403 233603388 252016284 1000000000000000000 970954358 716532109 704542916 822264780 1000000000000000000 65496345 31838875 33090898 1365692 1000000000000000000 855940650 466818402 526170571 46429899 1000000000000000000 712170498 648896404 33854874 557785065 1000000000000000000 978910843 456738636 505125011 670561 1000000000000000000 580662259 400663559 290376039 515311322 1000000000000000000 671777319 414173401 25828542 146263590 1000000000000000000 914327647 669945508 896658808 310161795 1000000000000000000 949434571 386337679 434901424 83997509 1000000000000000000 925830280 691173392 177740828 118367662 1000000000000000000 895324937 300285558 587704942 130115886 1000000000000000000 800949309 610964787 284237345 281467828 1000000000000000000 696790882 562638302 370723168 676723650 1000000000000000000 476902366 267790151 380688845 343184848 1000000000000000000 513770689 238060509 17688317 325712205 1000000000000000000 37756849 17414417 16752401 14751658 1000000000000000000 767591919 217658446 529370952 489346966 1000000000000000000 359864316 220140345 132803015 243580104 1000000000000000000 720932427 43086927 25954906 328256083 1000000000000000000 347972951 81203826 42651949 194535978 1000000000000000000 297039361 181066816 161254042 25556096 1000000000000000000 25346092 22857680 2049398 168712 1000000000000000000 52690544 18306208 8612978 19785453 1000000000000000000 543004948 383616146 341732732 275972478 1000000000000000000 804599371 53534787 158233623 210679906 1000000000000000000 192927954 112773775 127877745 47062528 1000000000000000000 803473803 408751676 594157905 542295714 1000000000000000000 723618805 644099251 120705403 149014539 1000000000000000000 720867347 517774679 545480523 670015862 1000000000000000000 657533362 252321802 468749673 481653601 1000000000000000000 324669507 262975839 36604976 215039019 1000000000000000000 734961986 622261337 339311666 90177285 1000000000000000000 895697161 241100074 830643688 348299269 1000000000000000000 571536417 306069970 134676218 430241120 1000000000000000000 372189425 184448911 177382044 360969408 1000000000000000000 145866012 40514199 116142426 2903192 1000000000000000000 267979083 172882939 147760150 191550713 1000000000000000000 748655790 563373399 437028217 722377262 1000000000000000000 921647277 285403081 349651082 199864303 1000000000000000000 532324888 21003448 420451220 88535923 1000000000000000000 606504779 69094492 239604848 341874812 1000000000000000000 909046301 901655868 217489312 141479436 1000000000000000000 407509160 26468842 94068738 30319701 1000000000000000000 752662350 309435967 666569423 192510348 1000000000000000000 238561180 23672987 187417565 210249030 1000000000000000000 667990458 255474718 325257902 53853681 1000000000000000000 391203259 264839066 246484513 289885875 1000000000000000000 28465000 18917889 13570184 11531035 1000000000000000000 273053573 235986869 98042909 139089927 1000000000000000000 649904200 619723351 443497215 228798322 1000000000000000000 113594907 23179212 40600840 93332052 1000000000000000000 52452469 50992865 21443479 34964520 1000000000000000000 448439139 83603930 369401983 58207221 1000000000000000000 953501342 274884002 593314967 670286106 1000000000000000000 594288396 438217864 421485151 534698079 1000000000000000000 124882306 77248460 57333306 11804535 1000000000000000000 948324223 13038727 758135110 490503798 1000000000000000000 696827232 328824216 33731905 28786984 1000000000000000000 189082607 128139498 79030510 18363643 1000000000000000000 759660184 362048217 664356454 573700882 1000000000000000000 731655954 122868397 115358156 697139328 1000000000000000000 37043932 9192055 36113167 13313786 1000000000000000000 219416904 195253793 21298851 9991092 1000000000000000000 681268566 433202188 621520106 223786767 1000000000000000000 6199446 3946551 1814961 2207538 1000000000000000000 519606959 12261971 85866057 138159246 1000000000000000000 117314561 81979871 45303628 100353868 1000000000000000000 740118353 523972552 637103186 401589034 1000000000000000000 300071919 61516999 273026989 172942040 1000000000000000000 828293048 671366854 289499914 575125092 1000000000000000000 73185992 47523913 42183547 16512861 1000000000000000000 130374402 23868445 39912698 58195099 1000000000000000000 430854744 258139282 68578000 381267524 1000000000000000000 376406218 313277315 83605741 14058289 1000000000000000000 606014895 343998619 4924324 1996372 1000000000000000000 581845734 360014669 52028527 106265514 1000000000000000000 497271911 182617230 413186064 344360536 1000000000000000000 915522966 242364410 46664980 222009472 1000000000000000000 554008980 79201841 207481997 38230457 1000000000000000000 701233922 98804666 47115804 664059673 1000000000000000000 971889115 705607749 337279410 218210838 1000000000000000000 368727670 213550617 40546129 110923847 1000000000000000000 294275657 118820749 278020000 163827892 1000000000000000000 280018787 28464017 251421478 17431526 1000000000000000000 760737557 140141052 10608908 595300056 1000000000000000000 193173856 37239157 91563619 109528588 1000000000000000000 568780874 95850172 458452537 3615103 1000000000000000000 40720192 35817122 16405972 15828749 1000000000000000000 376700439 237668156 129526313 16758352 1000000000000000000 855217585 435452667 528143006 728965407 1000000000000000000 636806914 503280330 369445503 443460258 1000000000000000000 695091457 606672703 237323251 5464553 1000000000000000000 606689708 558748071 605081863 194522350 1000000000000000000 140040756 11656229 12410038 62361719 1000000000000000000 119268563 26541647 45943389 54821020 1000000000000000000 640951547 292690788 588434801 535664116 1000000000000000000 919470327 725615035 522627842 403672355 1000000000000000000 357027066 227931627 197962443 49610112 1000000000000000000 244496071 227989831 103850217 177030651 1000000000000000000 645391355 525733398 33612849 577610813 1000000000000000000 927686518 644931481 871568903 298358270 1000000000000000000 867841158 841734000 234671930 223092008 1000000000000000000 588383184 163160371 468117587 65579129 1000000000000000000 772699479 561377133 706953676 696129626 1000000000000000000 526831802 295957694 36459991 502438059 1000000000000000000 295142983 97287450 24956036 225565179 1000000000000000000 568723636 532880147 401325530 58510046 1000000000000000000 934041665 462206675 920628589 98899620 1000000000000000000 62302151 19792982 58462395 59210242 1000000000000000000 599338308 589545471 445970915 345484231 1000000000000000000 440929429 234361297 116771101 376181231 1000000000000000000 95105167 65647939 54672844 30393886 1000000000000000000 341363389 99856815 291283876 121154605 1000000000000000000 294878857 217616118 100098333 143572819 1000000000000000000 736824170 600159875 453767984 224699040 1000000000000000000 794607350 726799734 533711603 548762697 1000000000000000000 177561083 64984723 89813353 91326335 1000000000000000000 415253115 368504391 267536178 128692547 1000000000000000000 778830694 375201176 155173902 282113804 1000000000000000000 982267639 98074050 852921088 419123047 1000000000000000000 322832286 317264262 301509523 27426232 1000000000000000000 664449744 324025194 170583191 328495441 1000000000000000000 49844480 41043039 21611730 9557230 1000000000000000000 412918683 292784723 254270536 352037019 1000000000000000000 650469232 45647764 40474568 403472741 1000000000000000000 274436063 138607301 131960756 241905976 1000000000000000000 122467255 5829493 37356025 64468314 1000000000000000000 941520712 521427451 32911584 655688636 1000000000000000000 603259401 588016062 531877312 217057071 1000000000000000000 491877400 449369681 53748387 404462585 1000000000000000000 340727046 116105828 86363660 32677327 1000000000000000000 873568468 417594877 390887848 11520525 1000000000000000000 687332835 291819545 270894175 522382125 1000000000000000000 574221549 470623595 220975854 481327115 1000000000000000000 392851940 198802993 291625094 223051229 1000000000000000000 100459879 66153173 53420661 4740157 1000000000000000000 753803969 463432541 152101465 260172689 1000000000000000000 735266899 299389559 731117107 249806789 1000000000000000000 461132480 399516372 273611048 137651636 1000000000000000000 577573211 405548890 443099743 153187296 1000000000000000000 559929610 251255447 108912846 435541526 1000000000000000000 941142595 825588207 281067638 933046762 1000000000000000000 975297841 690152707 492207145 198325809 1000000000000000000 22646892 7000689 14768608 8051174 1000000000000000000 810352049 578628477 535369158 782372565 1000000000000000000 746662323 11575305 633514371 685076541 1000000000000000000 591736968 317815539 255239156 368261645 1000000000000000000 582050616 161225674 294094833 119779194 1000000000000000000 729925995 239896484 6710178 204254008 1000000000000000000 840873183 344469621 32784059 253590386 1000000000000000000 805756356 143734812 615027091 113284064 1000000000000000000 524113190 509957585 369873272 97752807 1000000000000000000 920204674 630810153 795572015 458372367 1000000000000000000 451406972 186336869 419613496 437402372 1000000000000000000 245827837 135656250 98677165 156296027 1000000000000000000 468404773 340754117 437080837 342943760 1000000000000000000 759819150 641301378 174102891 272107581 1000000000000000000 952189187 47486242 775777775 81470887 1000000000000000000 746337312 362875044 577344501 107935093 1000000000000000000 616800340 87861116 80056281 495706560 1000000000000000000 540847177 307318480 361252003 182343412 1000000000000000000 685441471 395939850 513816562 603845460 1000000000000000000 592238750 106931021 579845481 101327835 1000000000000000000 803790125 698831464 544010703 584021498 1000000000000000000 517943062 442733405 461795823 18454907 1000000000000000000 59240261 40595133 44547037 40803978 1000000000000000000 442189806 120023489 137122057 328315532 1000000000000000000 173754103 152686315 25904166 163712169 1000000000000000000 15177859 11644916 8533017 10609303 1000000000000000000 791417763 214303729 641827553 390382594 1000000000000000000 563107632 147473956 230715153 35666518 1000000000000000000 983282152 516766832 40741726 734767275 1000000000000000000 852525964 328028335 409525033 521482648 1000000000000000000 824640428 559578866 154613023 595459474 1000000000000000000 801184695 411899544 786542801 414305387 1000000000000000000 844005026 398044422 191991689 312066414 1000000000000000000 288752434 96849138 88282631 92723972 1000000000000000000 636717420 242730198 562459624 122915088 1000000000000000000 504586386 141922941 214871641 54379193 1000000000000000000 892977683 499302179 346361839 317780996 1000000000000000000 217697591 95600836 29501795 107414926 1000000000000000000 163264849 8269519 96199672 150226756 1000000000000000000 531515637 67892284 160388339 26229468 1000000000000000000 769895865 127655690 336983548 252361308 1000000000000000000 44685439 41751505 18778603 14736316 1000000000000000000 671764385 607441548 344990969 634492149 1000000000000000000 841726199 476145327 583139428 463537509 1000000000000000000 509331624 111160321 72246808 314875945 1000000000000000000 445942 333386 170268 162890 1000000000000000000 750634977 109233420 270440176 510513203 1000000000000000000 23056597 16486342 20540180 8967076 1000000000000000000 942289438 139438523 89840642 516832317 1000000000000000000 685600103 651680144 28154990 372327662 1000000000000000000 245451596 17537669 173630019 192703820 1000000000000000000 150188401 137819396 89218129 70319208 1000000000000000000 518618652 312053699 349345542 258074954 1000000000000000000 493725184 266999121 205301733 361195491 1000000000000000000 292552965 93125749 274138093 230558806 1000000000000000000 348863645 323731529 334468326 312520411 1000000000000000000 533845151 500007708 211190528 105051674 1000000000000000000 928183150 634807947 719635728 491161398 1000000000000000000 504717007 418788006 160002630 350608079 1000000000000000000 320278756 268049825 300754795 65199300 1000000000000000000 389300091 257212223 190885684 17605494 1000000000000000000 290624536 281242370 110840404 220919557 1000000000000000000 704010292 106926733 376677912 342322441 1000000000000000000 402743165 190973216 278991346 3471604 1000000000000000000 909671557 845438577 211870350 296720613 1000000000000000000 583498339 89316499 131059648 100849211 1000000000000000000 892280424 645788296 580195812 807310630 1000000000000000000 641296080 317732770 142203974 533697040 1000000000000000000 508258716 336444104 130547932 129711855 1000000000000000000 656605826 266583710 394463469 366262287 1000000000000000000 649476974 536714732 101181866 61892145 1000000000000000000 109182718 82978576 30466225 19749211 1000000000000000000 760668556 396440868 180330332 210023354 1000000000000000000 255703614 128599140 92970402 108579791 1000000000000000000 33581777 13010459 28198258 19111573 1000000000000000000 73976260 46109583 22039154 7942307 1000000000000000000 469246079 106255069 89015177 384607347 1000000000000000000 583364443 501026337 527653065 152317548 1000000000000000000 58714106 56489636 29202079 42765252 1000000000000000000 716475950 268607108 503202162 4892440 1000000000000000000 116620959 67527942 85655801 41849256 1000000000000000000 267724615 184824102 226264264 132822353 1000000000000000000 210205458 157805587 22655335 192354306 1000000000000000000 396103598 200133678 155642083 7678951 1000000000000000000 920838383 391055638 91371969 619735298 1000000000000000000 193030775 152000049 87820203 59203118 1000000000000000000 408307009 127900755 267576955 259025488 1000000000000000000 677176927 381949214 306263220 483001261 1000000000000000000 357754215 132565861 68578522 236443146 1000000000000000000 38990030 34433863 9463381 35202277 1000000000000000000 392178567 52585906 170512476 93745088 1000000000000000000 689333270 599853131 672202881 660360866 1000000000000000000 879196304 29648684 448431291 224938743 1000000000000000000 599524204 525652082 580664551 291599843 1000000000000000000 556757571 251238526 159789700 13934511 1000000000000000000 748718090 649798132 666004693 485737401 1000000000000000000 293338081 278490921 87411990 62520691 1000000000000000000 60693094 7743984 24847502 7847204 1000000000000000000 624857005 379393672 232590418 173460790 1000000000000000000 59554169 32890540 5876992 11284199 1000000000000000000 376086537 125286860 109915179 180853372 1000000000000000000 52296487 14020715 14238384 33162195 1000000000000000000 56279262 29645529 49891326 40894181 1000000000000000000 185717004 71119812 166779871 87342493 1000000000000000000 361501933 220884572 153241673 159328653 1000000000000000000 776923302 222835589 321333908 37966984 1000000000000000000 161138712 67057510 113127203 90909604 1000000000000000000 839679797 418983435 838870464 400002255 1000000000000000000 133821027 24168888 1201980 96218690 1000000000000000000 769125881 515423012 757058719 655770274 1000000000000000000 608085941 505567447 268807381 534037699 1000000000000000000 419593173 186296440 28829457 51908355 1000000000000000000 206987430 10106622 76313200 30560005 1000000000000000000 931236716 826368857 388545890 671299105 1000000000000000000 418219237 356030745 133674444 43381365 1000000000000000000 25979557 16637285 5332166 4065150 1000000000000000000 593082051 281110871 181913211 467249281 1000000000000000000 752929353 526002374 450984222 235683633 1000000000000000000 66581825 13321079 32658471 32450934 1000000000000000000 865121884 664384201 748093499 232703864 1000000000000000000 182619506 172826595 17622415 4964615 1000000000000000000 427722544 123368006 346551831 318260202 1000000000000000000 368561026 363721527 223481511 26427803 1000000000000000000 764901195 313891776 299851609 386333328 1000000000000000000 184484424 68975956 27136667 74486687 1000000000000000000 890964146 527187400 700758896 113848152 1000000000000000000 594696623 445037720 312777711 588419646 1000000000000000000 335345596 92947527 187588899 193104390 1000000000000000000 432157401 179732129 415831325 134879564 1000000000000000000 844804890 520845106 375771105 800585240 1000000000000000000 817630803 218121384 168630003 11029247 1000000000000000000 212105250 89392375 95328939 153537894 1000000000000000000 390909811 54724663 49175048 369077120 1000000000000000000 96869153 62116020 30483834 43331621 1000000000000000000 811733469 581494634 684177037 428828102 1000000000000000000 661570193 532248465 124548750 465218723 1000000000000000000 808519428 597634615 484474375 123255829 1000000000000000000 630667904 12297282 112783149 377203937 1000000000000000000 106721273 73909309 87731802 68175767 1000000000000000000 65471471 44997739 47463516 58304628 1000000000000000000 929985340 455281008 195254975 175275438 1000000000000000000 493000704 262342949 123371853 397219322 1000000000000000000 213409484 6936841 43895308 208581298 1000000000000000000 474703162 3677792 185098662 191467939 1000000000000000000 498682621 464674264 452835563 421613077 1000000000000000000 735663989 704374471 613455940 46931223 1000000000000000000 336853132 135744001 281901902 111588875 1000000000000000000 436771012 346500697 23447636 296655279 1000000000000000000 979402005 269399819 240921842 170785814 1000000000000000000 801257272 550942698 136045579 226168252 1000000000000000000 881078447 306442584 269651811 144349978 1000000000000000000 458823068 427057303 115188946 443540695 1000000000000000000 380532757 11779345 306509328 225525026 1000000000000000000 693379843 548960751 282668625 290290127 1000000000000000000 566498414 543534522 39633200 209143373 1000000000000000000 922474107 738152513 808157023 459775441 1000000000000000000 997213856 248975056 960973871 679173195 1000000000000000000 499400754 53491394 411856383 132118060 1000000000000000000 322772510 84166081 11697813 282324324 1000000000000000000 65305612 56114 46037519 19803338 1000000000000000000 974695186 627659534 809735276 328931895 1000000000000000000 578273851 265677941 183780257 493576265 1000000000000000000 191039206 72071770 153434064 183450952 1000000000000000000 545179731 311762134 335042711 197227290 1000000000000000000 922843910 191158051 127839190 208998668 1000000000000000000 411815497 103633847 174589937 166861576 1000000000000000000 13491399 11546349 12635733 6780345 1000000000000000000 165522770 31889930 164390691 136505191 1000000000000000000 318157965 199631808 213858508 187378419 1000000000000000000 642167484 439805933 17218835 508045326 1000000000000000000 995131016 236721080 953789185 491916909 1000000000000000000 362224518 277174740 211711019 294398679 1000000000000000000 353613387 4338616 324362091 115383535 1000000000000000000 739795749 389755647 290080855 38585535 1000000000000000000 405177586 27479241 205968265 277504521 1000000000000000000 643182372 210806717 86709837 245021958 1000000000000000000 790068842 312286455 249015263 65068850 1000000000000000000 740030817 539058860 638441910 479660047 1000000000000000000 196735594 134244628 158836336 165541987 1000000000000000000 261752460 222004293 39698809 37967241 1000000000000000000 776009478 269176611 255655396 62622944 1000000000000000000 192651286 132066345 73280255 10131327 1000000000000000000 612365469 94296651 321325422 154746464 1000000000000000000 251208939 225247548 94007737 110847873 1000000000000000000 310587568 294576406 238141177 204156103 1000000000000000000 853816847 642016271 743354228 423402380 1000000000000000000 498745290 368421070 75335371 309768416 1000000000000000000 499864350 83502815 6615536 340500865 1000000000000000000 505330019 202113218 357412695 505096142 1000000000000000000 26385254 1513655 21181272 11443625 1000000000000000000 239846326 156731441 143726275 63075675 1000000000000000000 501491571 273162217 122751776 84023086 1000000000000000000 306093469 107945119 24024214 49207922 1000000000000000000 408135268 271087707 322641176 356137210 1000000000000000000 554017015 281048851 255867663 231964994 1000000000000000000 706818546 480162380 350947285 702624975 1000000000000000000 780720673 579636832 14475862 587887772 1000000000000000000 33687183 20133982 7426347 33228723 1000000000000000000 190103966 115664304 78724472 63246481 1000000000000000000 284880208 10784700 50212546 166239978 1000000000000000000 26644217 10162379 1342683 15540387 1000000000000000000 379035028 88631973 44717762 223882487 1000000000000000000 494274119 460603398 217288880 169891839 1000000000000000000 38427511 34202793 21877053 19357131 1000000000000000000 752705582 75826084 195427904 597758412 1000000000000000000 934593511 210632327 927163352 677076108 1000000000000000000 972504566 93260864 797992707 363831812 1000000000000000000 611326192 130021094 567160551 521077313 1000000000000000000 964887428 281015444 638176426 921021146 1000000000000000000 809612437 533777261 571013985 489144390 1000000000000000000 917862833 146302810 460379617 711963805 1000000000000000000 503240370 390138546 167080316 458871472 1000000000000000000 46372690 38390591 6945433 5899715 1000000000000000000 539661425 124701941 7264040 405415833 1000000000000000000 703239276 386187195 8454927 56851734 1000000000000000000 650879664 214904931 79442589 643291175 1000000000000000000 811340021 83275425 441880042 333950712 1000000000000000000 344042228 110825250 287173921 283773703 1000000000000000000 466540133 236228910 330979296 266362486 1000000000000000000 291367658 187798831 68110754 241133129 1000000000000000000 677444903 148241587 154107737 432098042 1000000000000000000 18842899 14711149 11846183 4379577 1000000000000000000 415253051 139351929 261394942 377881248 1000000000000000000 853633651 42633469 674940765 834101436 1000000000000000000 751513336 67112304 76267704 440109462 1000000000000000000 866674143 354578794 480113515 658992372 1000000000000000000 309833826 35737808 30274406 93245212 1000000000000000000 785564085 442321377 691995897 764979267 1000000000000000000 719627778 164805672 290693958 417012250 1000000000000000000 412393851 367857994 213667423 46359404 1000000000000000000 268318326 252305402 147646127 194560039 1000000000000000000 473948364 250891636 473517224 13592652 1000000000000000000 616879455 358931279 380477450 313272177 1000000000000000000 268066557 225406268 257540466 63242186 1000000000000000000 326948118 89438665 257775222 216240094 1000000000000000000 727069198 107068611 549267058 654891536 1000000000000000000 116518327 95325186 346239 54057499 1000000000000000000 786456439 584187164 455498737 735919223 1000000000000000000 129618664 120939709 18712971 68188553 1000000000000000000 898824335 392270189 641948526 796519251 1000000000000000000 613194208 509083976 437099127 135538255 1000000000000000000 459639225 5038751 406208981 449231517 1000000000000000000 261647163 101819300 35514962 246223590 1000000000000000000 712462392 364536740 643512994 648190659 1000000000000000000 359888432 333243826 83658927 140955779 1000000000000000000 336343823 89858571 241194917 17095233 1000000000000000000 899659522 138055200 495373728 155895420 1000000000000000000 727552083 587996344 529994474 709892650 1000000000000000000 966365121 697243495 244702450 787458547 1000000000000000000 349837969 108091539 92697433 24979851 1000000000000000000 815077044 812492062 746326834 447084805 1000000000000000000 324994338 67333780 324171720 63626183 1000000000000000000 93164609 13698580 45148225 26765271 1000000000000000000 568136964 84724521 106574542 154896274 1000000000000000000 146687264 84577842 45012230 8133695 1000000000000000000 696708233 567140115 303413606 558433060 1000000000000000000 270970893 49967737 19340652 34488345 1000000000000000000 123492872 20420636 22413911 91533310 1000000000000000000 995701624 292410680 815162441 890560979 1000000000000000000 974295279 48402947 696184859 826974184 1000000000000000000 855221516 569330691 77387908 33414104 1000000000000000000 753317408 27468775 175730321 551998329 1000000000000000000 195715348 169988289 125723386 42589157 1000000000000000000 6886488 6244992 1078761 3322042 1000000000000000000 281489305 145500817 210475841 18590056 1000000000000000000 44802127 9935434 14432763 25851741 1000000000000000000 407811489 393407731 399872660 396282960 1000000000000000000 860475010 747089346 479072390 27603894 1000000000000000000 93188113 43533332 73000307 18347500 1000000000000000000 993459631 981850068 886446117 180326114 1000000000000000000 386319825 13194905 177905892 120119449 1000000000000000000 614120534 575200260 208048105 541525986 1000000000000000000 759965696 180970369 610416724 39623959 1000000000000000000 89740260 74719378 77616512 53736703 1000000000000000000 577147309 464246287 360798764 543195069 1000000000000000000 672718569 185726158 515803493 3866534 1000000000000000000 815455571 495702832 784445879 142330812 1000000000000000000 654798690 487523167 463390582 128434410 1000000000000000000 805435491 675670641 79948768 561160486 1000000000000000000 244762596 30873164 89407511 215621478 1000000000000000000 514322193 391791178 20916547 321800707 1000000000000000000 87647906 73861402 2868276 5540821 1000000000000000000 406640233 301868686 382392602 248680373 1000000000000000000 597024838 142834250 329588001 277845426 1000000000000000000 255680767 63086513 24376313 13110225 1000000000000000000 650481016 482568425 160067997 53395827 1000000000000000000 735956318 550197309 46915576 466067660 1000000000000000000 818889548 392283342 615411200 579960125 1000000000000000000 391386145 344668549 47995131 174780167 1000000000000000000 143508954 41478066 16773735 86782860 1000000000000000000 467526012 288515394 463178497 235892317 1000000000000000000 298833798 67957287 116502799 175037528 1000000000000000000 995644328 507113764 218662565 785595969 1000000000000000000 670950376 103543624 362674569 592787816 1000000000000000000 548268335 382336156 512123445 544015063 1000000000000000000 909756114 343283474 136973576 262303379 1000000000000000000 193412880 72302402 18935099 126240313 1000000000000000000 856949181 783422675 382475348 413772533 1000000000000000000 803888056 95534115 35940182 103238679 1000000000000000000 609783318 169615242 281094852 462563946 1000000000000000000 809862332 595854302 614053331 705873348 1000000000000000000 578855747 391045835 462640317 481544107 1000000000000000000 714472160 375676092 561894950 375423863 1000000000000000000 404085549 320823308 107638523 174381803 1000000000000000000 671853141 322865043 109040246 369345047 1000000000000000000 159565165 77760312 60435743 148852734 1000000000000000000 607822459 446622220 242971882 191017036 1000000000000000000 28811538 27095741 18551260 8739763 1000000000000000000 11952171 1938438 3680806 8378534 1000000000000000000 720026148 227196096 408798148 619602723 1000000000000000000 290589487 273551976 2059132 170073596 1000000000000000000 351523102 194528944 210653184 226874176 1000000000000000000 632135435 338860981 556055230 420696303 1000000000000000000 108674407 31185507 69051959 90226625 1000000000000000000 653306902 55397172 566504964 577549740 1000000000000000000 361027671 32994193 20961212 88140461 1000000000000000000 611096663 529213576 444765004 301174979 1000000000000000000 966395840 144375768 946248852 588511481 1000000000000000000 201440424 90813948 143060637 160581401 1000000000000000000 24056370 185415 8435450 15417018 1000000000000000000 339305217 72542183 157685424 184445353 1000000000000000000 691202364 467520880 270897166 198440086 1000000000000000000 728531736 61528703 697529037 59139090 1000000000000000000 852387608 173515566 630775044 438287466 1000000000000000000 502853221 174855390 20174969 363537142 1000000000000000000 318438092 16160233 27569833 271877418 1000000000000000000 770735964 284480557 451761723 86152597 1000000000000000000 770455117 436615867 216077204 82078965 1000000000000000000 11740154 4935611 4022443 1091901 1000000000000000000 787844042 126406638 725282230 41793977 1000000000000000000 184127984 131812570 631559 94194034 1000000000000000000 609304263 471832070 174224858 293115788 1000000000000000000 601305462 70246630 476623095 285929767 1000000000000000000 296893041 210693968 289876914 156121513 1000000000000000000 229463148 43822802 101765442 168596204 1000000000000000000 213624222 153417226 151655230 29295068 1000000000000000000 87378723 68281415 4764168 39732294 1000000000000000000 971964655 515662560 194657978 276266009 1000000000000000000 565432746 341552008 144623016 380385695 1000000000000000000 776961793 586235511 188675631 769414755 1000000000000000000 433249400 110901155 26165833 196242268 1000000000000000000 833480388 273063026 324587522 680801547 1000000000000000000 161141300 62203209 4959314 85441807 1000000000000000000 793191078 253371202 143539088 760977483 1000000000000000000 999765023 918599996 680494579 691231248 1000000000000000000 447746710 46690781 286261465 56167013 1000000000000000000 876685649 420602195 265184196 588885530 1000000000000000000 381629104 238619669 266298751 272089064 1000000000000000000 897968901 743800418 618809687 571166534 1000000000000000000 313824598 252777420 9644655 124042440 1000000000000000000 463911216 187357052 151316451 370279012 1000000000000000000 383859686 325879070 331652232 380413099 1000000000000000000 782883295 648925014 606159792 209372479 1000000000000000000 49025007 29906910 17014050 8885711 1000000000000000000 538523419 91224664 212717186 173888303 1000000000000000000 422435824 359468772 54218290 377878209 1000000000000000000 569962942 207035242 315994988 322608445 1000000000000000000 793396749 124975224 476269658 283928011 1000000000000000000 973219589 116843468 330556209 573312921 1000000000000000000 145603102 29702044 111924183 117171863 1000000000000000000 477595937 136740247 34532546 337870468 1000000000000000000 332990425 311009866 150675970 213538071 1000000000000000000 604290343 582485647 199803575 61915384 1000000000000000000 859045773 384489767 2312079 814847615 1000000000000000000 972948825 567053674 901956793 316215476 1000000000000000000 70701621 56383333 12972024 55351144 1000000000000000000 407023079 261134213 374978511 216139665 1000000000000000000 406722960 374976363 140358582 333507302 1000000000000000000 516150216 196709587 340666411 284788448 1000000000000000000 110876799 65729091 10108337 102360979 1000000000000000000 839319319 538339982 591130326 385837015 1000000000000000000 264807692 108339934 247138617 236687644 1000000000000000000 358164933 102564555 43012114 283507829 1000000000000000000 638514103 298310079 262753978 207764807 1000000000000000000 153158830 150448753 143027650 98560129 1000000000000000000 151862515 127229772 57661149 139763830 1000000000000000000 477418953 4110829 284228334 145330302 1000000000000000000 82011310 7641888 61512171 42968656 1000000000000000000 796129716 311770414 145743990 12519095 1000000000000000000 114382362 89653044 89851187 11437420 1000000000000000000 585193663 509498579 359303633 440463512 1000000000000000000 605756936 533248988 354004310 248422232 1000000000000000000 502827470 7217003 287102098 46076833 1000000000000000000 870556922 407878015 211852133 665312311 1000000000000000000 330294624 164050353 26238758 213125558 1000000000000000000 709056654 608565741 135255413 301804540 1000000000000000000 316411570 193573395 22849991 272008469 1000000000000000000 605826801 268237766 470289538 81871580 1000000000000000000 82574398 65242239 49172567 264896 1000000000000000000 569850275 174785260 357394349 265510631 1000000000000000000 212753795 105751308 38090626 154329862 1000000000000000000 116705765 62816965 105498665 72039826 1000000000000000000 933353999 362047540 629633599 317392049 1000000000000000000 177290610 9162594 165375043 143303481 1000000000000000000 77551583 48897183 68677632 39453682 1000000000000000000 195302705 92388667 150720805 42518983 1000000000000000000 536119483 496457966 7735994 444041309 1000000000000000000 558654551 94831711 499678216 205353556 1000000000000000000 595011809 568584896 426320314 345475804 1000000000000000000 567254398 465644004 117814414 124633555 1000000000000000000 488383320 323589292 31024503 436465880 1000000000000000000 491654012 357909727 209094546 274038047 1000000000000000000 701437041 468079342 11696589 283749205 1000000000000000000 660292572 179292453 644101338 461926249 1000000000000000000 733690100 122329581 331754699 500716634 1000000000000000000 618788477 165394883 443192184 430511082 1000000000000000000 684937775 453794644 634344389 647379729 1000000000000000000 625305100 204693488 167223880 135534921 1000000000000000000 428341196 185386618 180777942 277545625 1000000000000000000 997405064 13833669 54490316 764946981 1000000000000000000 860654540 372757423 397267053 203999616 1000000000000000000 742717870 692394544 710129424 192175519 1000000000000000000 711463628 692247629 186323174 222929585 1000000000000000000 92997820 89672396 80328769 8569805 1000000000000000000 604155413 397900775 362568551 263426779 1000000000000000000 489734162 404360912 419902275 211992798 1000000000000000000 363240054 184013697 23832207 270339100 1000000000000000000 958692190 490054215 606685757 351993506 1000000000000000000 34243881 12979098 5693835 11351540 1000000000000000000 344138380 66952483 301024916 343497695 1000000000000000000 968316304 886222536 643704475 553929709 1000000000000000000 988145595 280458744 110957679 847617789 1000000000000000000 723502586 288116551 478957615 620110113 1000000000000000000 710417042 288647840 415247697 105427864 1000000000000000000 291636201 94749334 27331366 175433818 1000000000000000000 296766793 171684778 173029197 58588708 1000000000000000000 160192769 47947646 120086147 146026914 1000000000000000000 36887144 21234718 15578683 26909533 1000000000000000000 855991896 503550163 341480692 809118503 1000000000000000000 740055096 181929985 476364226 369931649 1000000000000000000 104943358 104079828 58231010 62071338 1000000000000000000 637648997 127015313 312921568 390083185 1000000000000000000 756642337 202357832 609017512 355225527 1000000000000000000 974571152 784298604 145927213 733520525 1000000000000000000 993763067 92645905 830932852 763877174 1000000000000000000 72712234 30250745 35732003 45975376 1000000000000000000 735401629 57168051 415675849 38682157 1000000000000000000 490714476 151411643 365201780 91274916 1000000000000000000 772904396 640745176 193261115 360198197 1000000000000000000 404320749 10454071 370199984 317716590 1000000000000000000 202777588 104469180 52870028 15497250 1000000000000000000 325624781 241764969 306947670 31194388 1000000000000000000 248937752 34644988 23055712 169069764 1000000000000000000 514108167 81091184 271191269 222665630 1000000000000000000 920516215 247759713 747884155 49272410 1000000000000000000 334644655 193927903 32054719 66216802 1000000000000000000 16776440 4254930 8758012 14241022 1000000000000000000 8912331 378035 4465417 7877624 1000000000000000000 359735202 110245588 251308908 344233452 1000000000000000000 17611191 12709357 4209715 2932012 1000000000000000000 756812825 14454829 12860408 441044224 1000000000000000000 507663107 416363680 401037288 19142459 1000000000000000000 677631077 530789942 275957254 507927746 1000000000000000000 710463009 72845037 243725208 452093325 1000000000000000000 723513443 109228558 306757209 478572729 1000000000000000000 911915858 456165978 37838250 218901632 1000000000000000000 896640899 885608264 125826836 306180822 1000000000000000000 157756419 99258973 133396453 49910562 1000000000000000000 131468785 29408079 24806803 1454661 1000000000000000000 90161111 58903070 71896677 64348675 1000000000000000000 627209758 318433887 229431342 525815839 1000000000000000000 112630033 51889387 22042506 95975364 1000000000000000000 222182653 28003258 211273591 9858584 1000000000000000000 370158050 11590160 193571885 330755168 1000000000000000000 937803785 19145492 397498263 854527379 1000000000000000000 341252026 259176852 130872751 18099253 1000000000000000000 417314777 16219128 306441454 348516462 1000000000000000000 824108742 671224969 169277423 632887105 1000000000000000000 339772120 201445432 99724582 332351351 1000000000000000000 95782119 90666718 27080147 91678974 1000000000000000000 959417041 733694662 212908453 765898856 1000000000000000000 668498228 613581268 31097534 644474432 1000000000000000000 708584304 336452753 181696161 206585775 1000000000000000000 400403589 242190451 360283697 397618659 1000000000000000000 283631934 88898373 46001469 202156045 1000000000000000000 813968390 777931274 382933110 307747323 1000000000000000000 900721843 128478659 56260865 39009029 1000000000000000000 420856115 369708225 306568525 413067933 1000000000000000000 337277008 253407649 333678065 224949321 1000000000000000000 150793158 23132248 43624907 6422439 1000000000000000000 317552601 46003413 172648812 298846635 1000000000000000000 375644838 147685383 216899278 27187241 1000000000000000000 166819161 131006674 118562504 90727275 1000000000000000000 992882219 717245073 434691109 616979885 1000000000000000000 818087041 583552194 68889924 411911527 1000000000000000000 554323739 114940716 506508309 49175856 1000000000000000000 354193579 222908028 146336674 148105518 1000000000000000000 651529370 453357890 12129366 199557542 1000000000000000000 205602159 158639262 5103511 184443517 1000000000000000000 300897398 293862430 36110758 151325652 1000000000000000000 536395942 10610398 500515605 149196855 1000000000000000000 132217114 24113159 51164374 174388 1000000000000000000 613362257 322612465 142282337 165006437 1000000000000000000 620331173 42423154 525583260 491965126 1000000000000000000 978929343 670538002 37870632 300729635 1000000000000000000 346179807 101349369 293525659 219915044 1000000000000000000 396256285 162490282 147466363 24441043 1000000000000000000 281292638 16038956 71237260 138256181 1000000000000000000 344853191 233865975 312794686 280783361 1000000000000000000 863583195 9390375 134974700 392421022 1000000000000000000 107350607 83856511 10276286 73858611 1000000000000000000 278035004 107405048 45322568 10120513 1000000000000000000 560586461 409832930 511492490 247292887 1000000000000000000 807279976 17639466 219555842 384610668 1000000000000000000 864192879 707745493 147960806 514091844 1000000000000000000 599513216 303934797 174107973 19220886 1000000000000000000 975854256 815229057 603736523 448308386 1000000000000000000 874936343 367401528 838284206 10336565 1000000000000000000 595954008 171978550 292180391 296996341 1000000000000000000 695508955 426550946 512375650 147382359 1000000000000000000 318404695 1283585 61541565 177165974 1000000000000000000 261341624 56431487 69676462 24329454 1000000000000000000 621499485 425602169 445799424 237509479 1000000000000000000 962448387 127409819 943851685 932683113 1000000000000000000 53085176 40621959 46224161 41561888 1000000000000000000 607367545 324562567 112437370 53219474 1000000000000000000 45229715 5476765 30809993 723085 1000000000000000000 895227952 607608989 334731985 379781773 1000000000000000000 524014231 506799515 363208766 368167726 1000000000000000000 818109726 320541078 714115299 413485731 1000000000000000000 540969433 67248740 411535852 459617785 1000000000000000000 889865102 316978981 753106241 608276735 1000000000000000000 76603265 35222024 66005930 46886025 1000000000000000000 325171577 99803642 9564610 271661789 1000000000000000000 352016781 261892400 49206411 188457903 1000000000000000000 406993051 187170122 155099441 96221474 1000000000000000000 676201286 378287268 596392383 555728069 1000000000000000000 408196363 363447451 294981002 180629785 1000000000000000000 544817236 155334014 141473263 36474326 1000000000000000000 598883893 22486060 150152690 418456861 1000000000000000000 791360105 306306716 23761752 359820864 1000000000000000000 528604794 287305932 39609561 306716786 1000000000000000000 948318988 541364494 720547921 884790805 1000000000000000000 555332776 427982667 32901242 512600434 1000000000000000000 592375316 365309467 28067665 72201255 1000000000000000000 687108538 157134250 105322965 103205700 1000000000000000000 809480275 246815895 30112712 168908150 1000000000000000000 682630912 83343811 657938726 154983153 1000000000000000000 836187883 707468344 126496979 730316121 1000000000000000000 284411877 170225793 55203686 157857144 1000000000000000000 459358966 277615536 255049346 140223947 1000000000000000000 973017460 593115823 642956457 405271507 1000000000000000000 748020723 388682482 218722438 699876584 1000000000000000000 821572713 663972432 645967306 229046547 1000000000000000000 457730554 85009050 406490207 419718819 1000000000000000000 622337670 124944982 324043017 611683289 1000000000000000000 232406843 153663014 167829869 68312950 1000000000000000000 69781503 1027827 66298803 45798193 1000000000000000000 19682188 13183337 14867292 6467996 1000000000000000000 111968399 15074649 46991846 109653010 1000000000000000000 125330113 113740022 35389988 50187991 1000000000000000000 950690007 277628665 112078407 70949088 1000000000000000000 633195182 180488675 118852428 89009830 1000000000000000000 145011257 81591117 79742425 39515039 1000000000000000000 641333353 705037 619406143 366535680 1000000000000000000 159888467 85608953 128436467 60377726 1000000000000000000 63194303 29756921 62438533 56401119 1000000000000000000 744134443 442120330 47640231 270850384 1000000000000000000 145031615 142804572 131504873 102892991 1000000000000000000 227836770 140033983 52198649 10294037 1000000000000000000 793338469 362327437 247887300 73606284 1000000000000000000 988564777 246255958 982638307 855499681 1000000000000000000 853626356 320338691 504506209 34825154 1000000000000000000 410586616 188204083 52907822 26093587 1000000000000000000 144363517 77523805 102655932 107233696 1000000000000000000 797630322 1519446 527421294 255344540 1000000000000000000 983170264 443411214 755014830 751676357 1000000000000000000 384280129 231435754 144620093 369831621 1000000000000000000 85638084 4375942 35864635 10369335 1000000000000000000 219028968 70353076 211338618 198738216 1000000000000000000 905682841 597889147 29024104 516926562 1000000000000000000 361919406 150444177 180981053 71399516 1000000000000000000 301307398 238428092 86676616 277380043 1000000000000000000 833300741 223987515 827420054 771706807 1000000000000000000 218903763 215749693 63279480 45782131 1000000000000000000 148336748 55408581 96334962 127323415 1000000000000000000 195992514 15365555 161076530 171436526 1000000000000000000 897469640 452184782 833721994 247604113 1000000000000000000 536177064 410631623 258897710 276812591 1000000000000000000 437566617 31737619 258447966 364504295 1000000000000000000 643290692 352292882 18179105 28006457 1000000000000000000 979071688 625513699 47602261 975512566 1000000000000000000 895707813 263375135 88594915 422536827 1000000000000000000 919943440 214072612 272679513 273539863 1000000000000000000 566160510 17149292 309218705 302515537 1000000000000000000 499659649 297390418 464842143 185004362 1000000000000000000 174720168 71935657 154996888 127142567 1000000000000000000 41666529 8585553 34587414 12274623 1000000000000000000 699696386 675303434 683901176 657505568 1000000000000000000 560369230 9800534 84239951 157322975 1000000000000000000 739041359 622869561 169808944 394132083 1000000000000000000 852912022 748619824 524520708 429407657 1000000000000000000 424478758 247546626 64308187 311012590 1000000000000000000 982125997 583407101 846150225 220672009 1000000000000000000 589204350 39871927 392779279 403112035 1000000000000000000 120442053 3647673 100446216 47142040 1000000000000000000 68786252 21596088 29139140 34052227 1000000000000000000 84058812 36777073 32575282 71777743 1000000000000000000 794848765 777807169 65684611 52611382 1000000000000000000 729434258 593976566 225748849 477028525 1000000000000000000 990663563 217707530 815597535 103746487 1000000000000000000 99361455 25463784 21792866 29769923 1000000000000000000 859279377 450139179 590983198 577260604 1000000000000000000 35515088 7856714 26809021 23214186 1000000000000000000 146475446 58536372 130082131 114305054 1000000000000000000 773831084 759140374 446465723 199196950 1000000000000000000 571518209 492173973 201556697 209080834 1000000000000000000 891027363 160789239 575638467 264537012 1000000000000000000 265396591 32949985 80264698 240764832 1000000000000000000 166513972 74232429 166234856 81394681 1000000000000000000 468271381 269901532 162497737 217139903 1000000000000000000 739779742 104820358 216558910 694958764 1000000000000000000 690256819 614082839 402638181 541683081 1000000000000000000 629848050 519302147 429845091 519511224 1000000000000000000 261630096 171627289 48302898 261438094 1000000000000000000 385395776 173483536 354030243 170244796 1000000000000000000 892273264 832803098 301197021 376164303 1000000000000000000 973221280 38018571 104271342 139097535 1000000000000000000 734610758 19729710 718158069 49216503 1000000000000000000 995271986 102418361 26436677 63458486 1000000000000000000 246319843 199751872 183385730 186578475 1000000000000000000 363258546 221426430 85917288 335221912 1000000000000000000 816703327 704086425 417899953 340223653 1000000000000000000 340249274 162868227 228721640 294298154 1000000000000000000 386013761 64320741 64665650 183795467 1000000000000000000 1706338 530243 1431590 1596205 1000000000000000000 270177751 123795567 15766501 198728255 1000000000000000000 638126470 552548048 314679441 192046422 1000000000000000000 425195997 184730817 125693481 48392063 1000000000000000000 937369263 285140395 840567864 388672064 1000000000000000000 784892826 408857769 109284277 25570317 1000000000000000000 268901470 18052198 163033877 170285603 1000000000000000000 592736394 527877763 58248287 588005562 1000000000000000000 945729628 824100346 647774315 537093817 1000000000000000000 594040551 123115418 189392011 46767573 1000000000000000000 393069157 282072439 224908486 192391792 1000000000000000000 491861771 306922356 485910119 382841155 1000000000000000000 803815912 778752338 597438142 209333659 1000000000000000000 451245908 288171238 51469321 184539764 1000000000000000000 161758384 80780163 3202599 63269641 1000000000000000000 712284912 40946198 656395517 469698392 1000000000000000000 132866313 11777520 47069679 67076369 1000000000000000000 210997358 3671420 183706340 172026792 1000000000000000000 187962130 115236753 145627427 54587926 1000000000000000000 820514262 206058522 480572838 804585248 1000000000000000000 3406975 811968 1365424 3020410 1000000000000000000 241021911 208318808 206244707 7986038 1000000000000000000 904574017 30797369 364001887 862315587 1000000000000000000 908109207 16224072 349832423 182496217 1000000000000000000 305618596 255058286 184204657 26305524 1000000000000000000 609365373 358720617 575163606 275828615 1000000000000000000 706136152 544480224 377059309 366021451 1000000000000000000 600511275 132758985 561511645 536767662 1000000000000000000 727524029 359535107 548824051 576366577 1000000000000000000 940537432 899645259 728182314 925276391 1000000000000000000 159807865 106167019 52655849 116194556 1000000000000000000 457328468 118647221 307774078 399822731 1000000000000000000 763908686 650400135 69575696 265029395 1000000000000000000 521833070 518104311 418480922 192673762 1000000000000000000 156341505 87632265 63169072 149427638 1000000000000000000 206310684 173053563 170469742 85517780 1000000000000000000 191210329 166908219 50380439 20553647 1000000000000000000 410636367 181366633 157433566 234105853 1000000000000000000 266405361 135492476 61844137 80280084 1000000000000000000 734466038 455357515 419638919 676492597 1000000000000000000 189829786 11774540 63415770 66731760 1000000000000000000 68609161 37354217 61391317 41929971 1000000000000000000 269655181 248659474 177199055 70879105 1000000000000000000 445459150 144597314 160677789 86660428 1000000000000000000 951737168 8853102 526358265 99837237 1000000000000000000 972221239 269345357 77938252 438867214 1000000000000000000 327039092 294746598 129922879 231399330 1000000000000000000 167527621 98827379 127024933 137700796 1000000000000000000 78417973 53035838 27489119 77790611 1000000000000000000 172129557 83569288 71099715 57232894 1000000000000000000 434156487 40686633 239434767 420128665 1000000000000000000 91515573 36625721 37721871 63351558 1000000000000000000 692608867 327197546 121614154 635806276 1000000000000000000 499526772 134176350 466731599 377368722 1000000000000000000 902005550 278410360 323081287 801614848 1000000000000000000 361146729 173462428 248446470 218950869 1000000000000000000 274124267 10454149 135507198 17381343 1000000000000000000 906090048 242465070 595643947 236487574 1000000000000000000 617829408 511571642 573803545 151868719 1000000000000000000 162301671 34512205 86198455 58209726 1000000000000000000 216899970 123073999 202903330 115276357 1000000000000000000 406521556 122005353 63318853 161954556 1000000000000000000 241826306 100541097 187587432 41201473 1000000000000000000 829155065 329109733 378111791 513407803 1000000000000000000 123504327 50970470 34780208 112462129 1000000000000000000 557103235 165443009 414166178 273415414 1000000000000000000 399075850 149788465 264211059 371921206 1000000000000000000 229317613 39998425 216157809 80772439 1000000000000000000 869080814 796512423 683320050 821258648 1000000000000000000 180508892 59417131 45026804 20223014 1000000000000000000 859358282 622552396 29794357 267740508 1000000000000000000 52217872 2176801 846486 15147309 1000000000000000000 391494051 100082202 105376306 272143778 1000000000000000000 717520502 352417875 161488071 316256869 1000000000000000000 56849455 23396221 7845142 37177318 1000000000000000000 370763428 169182347 152667726 97189772 1000000000000000000 499794878 428401862 474429942 237143280 1000000000000000000 459314067 61975784 371884789 171431864 1000000000000000000 962329266 171998503 714293345 339368022 1000000000000000000 703603924 251228227 221063787 32316409 1000000000000000000 24098998 4471747 18778306 4694399 1000000000000000000 552972656 364098518 475333782 99807621 1000000000000000000 217117947 79269097 51321618 150361606 1000000000000000000 843134051 330052771 13805164 182494089 1000000000000000000 354130454 279114418 83624961 221142132 1000000000000000000 137934673 24838473 133012215 121303515 1000000000000000000 309479737 263192003 256510268 37005378 1000000000000000000 858130233 370374346 703214037 593161255 1000000000000000000 85802470 261857 48360686 56439264 1000000000000000000 528765124 190086309 527732152 385082829 1000000000000000000 129554525 29461642 35457109 67862235 1000000000000000000 105700217 90910537 17844691 38042620 1000000000000000000 130363618 103364237 54799193 31400061 1000000000000000000 576009096 300122930 161226309 570243101 1000000000000000000 285166328 158174910 107138443 229576044 1000000000000000000 994424209 876264417 638549574 142953416 1000000000000000000 331449995 205259803 52875108 243726741 1000000000000000000 983321632 802621887 798213532 916933620 1000000000000000000 242540730 14196117 205158505 179568281 1000000000000000000 281972425 214565780 32364228 281750917 1000000000000000000 301129796 244866132 34068786 35621029 1000000000000000000 597759120 276360418 490107233 365512228 1000000000000000000 76485464 68428948 34899352 14364738 1000000000000000000 366852453 185599324 46742861 315364860 1000000000000000000 252067132 228669378 189006744 161617050 1000000000000000000 216758815 176060393 117074278 7747454 1000000000000000000 537940566 96110394 391836754 168267263 1000000000000000000 845575918 496389657 701837646 748104312 1000000000000000000 122578742 44750675 91318287 801294 1000000000000000000 42311701 9516808 1732352 38439700 1000000000000000000 778138683 511058068 59297781 737734914 1000000000000000000 664929632 186841146 582908910 354563243 1000000000000000000 454236997 287433557 156707500 251946396 1000000000000000000 918969927 359260030 93307643 698182734 1000000000000000000 499283650 37910460 123990017 119162109 1000000000000000000 185877012 116540348 18774424 91875417 1000000000000000000 860513120 582901407 1973149 422965310 1000000000000000000 770329943 48613473 280109127 694894735 1000000000000000000 984608049 424233455 972536686 500893219 1000000000000000000 281084913 42315402 132224560 53543599 1000000000000000000 197639687 23526744 188751913 132777073 1000000000000000000 301838077 251396547 10485724 33124415 1000000000000000000 826342858 106827301 211819118 781802839 1000000000000000000 185448339 167648398 178746825 98492262 1000000000000000000 894576463 723297586 675579217 852628372 1000000000000000000 387515709 188559137 123459810 322701661 1000000000000000000 798510497 392911279 370596527 378283329 1000000000000000000 230528905 90530976 191171781 154121343 1000000000000000000 403755665 184008840 159045308 23716583 1000000000000000000 839172350 173405231 100802974 726423121 1000000000000000000 799267128 167908644 21953278 559437382 1000000000000000000 173993444 104109700 103332348 113807005 1000000000000000000 187225707 79186471 107893083 88390497 1000000000000000000 17536025 11020575 7152759 13929094 1000000000000000000 331987634 172415852 148887128 296490238 1000000000000000000 703051653 423866794 678571759 143917704 1000000000000000000 987521476 811457799 78610929 381879749 1000000000000000000 423233538 213641649 317138552 167691072 1000000000000000000 597209459 568811391 374700272 303468216 1000000000000000000 99889652 27156331 93369890 40075148 1000000000000000000 453429239 429039368 228392922 83990699 1000000000000000000 333130739 102604831 8224397 198721886 1000000000000000000 6519029 1943800 576031 2827107 1000000000000000000 95546672 90452617 10638081 80984954 1000000000000000000 177885556 174783688 55162351 32213445 1000000000000000000 273603722 94019682 135645744 259522184 1000000000000000000 601196973 443534959 50983006 486353606 1000000000000000000 549622763 196562325 2625024 145023715 1000000000000000000 996066225 558866142 698662541 834224474 1000000000000000000 953482774 850611795 931098473 142412148 1000000000000000000 979672520 831259008 731142645 860099589 1000000000000000000 804940868 248307700 287822653 699454407 1000000000000000000 611512010 34967696 488757919 82470206 1000000000000000000 334843944 129686463 12532403 79262562 1000000000000000000 858118882 315807400 856586844 665130893 1000000000000000000 110134864 36060822 54122098 3366535 1000000000000000000 593295106 492864103 486905845 307493616 1000000000000000000 254997965 222957985 123090032 156915106 1000000000000000000 492803492 256694436 407383923 76614118 1000000000000000000 761569588 746103787 47209522 389007868 1000000000000000000 945862714 480551676 357829273 882235763 1000000000000000000 492968837 80888403 327015467 28087097 1000000000000000000 449106658 370917388 55669141 397107110 1000000000000000000 728566956 402593787 318326096 479770268 1000000000000000000 141445963 73972697 111373444 56494855 1000000000000000000 730986065 474716911 314992034 434736944 1000000000000000000 812032936 70796276 608503435 620813861 1000000000000000000 781779273 141541053 366389300 487044457 1000000000000000000 826867262 554246753 124218023 446361680 1000000000000000000 357155194 319369691 317455405 330621825 1000000000000000000 182979189 147471474 161270841 41606861 1000000000000000000 89789873 21086284 38995607 57764862 1000000000000000000 439928673 160960523 28710805 390169709 1000000000000000000 615883015 604975425 445326748 464739478 1000000000000000000 370063028 122475854 30464004 243325592 1000000000000000000 324810324 146684223 115054112 193678052 1000000000000000000 250676374 4278890 117214847 46665055 1000000000000000000 791249028 354123552 391044235 685406194 1000000000000000000 934361084 320561753 415684725 125851046 1000000000000000000 802966077 303495773 571460857 723695717 1000000000000000000 604668081 323416487 69481374 370532719 1000000000000000000 540638246 21713271 141492892 67132072 1000000000000000000 466023246 53122420 93639134 271280765 1000000000000000000 621891935 615112961 429138614 570658874 1000000000000000000 800284645 782420218 392490684 298686181 1000000000000000000 423341331 203967537 83083163 320898276 1000000000000000000 113620015 54782596 34148014 20344161 1000000000000000000 948014047 230343790 722016438 806014950 1000000000000000000 865649902 803326960 623379316 114402979 1000000000000000000 800706904 671498642 346506808 548925289 1000000000000000000 671991379 471443032 13525413 13386424 1000000000000000000 541534684 110558112 272509471 353361713 1000000000000000000 508134966 306144903 506755203 87759007 1000000000000000000 670474754 82547424 567237770 639878514 1000000000000000000 693132592 493066535 94072572 613265701 1000000000000000000 38662247 18193041 17580982 34233625 1000000000000000000 950094022 88165654 787590746 478072660 1000000000000000000 729107614 301121161 704424443 626801888 1000000000000000000 68938890 3479282 63529792 61416631 1000000000000000000 430346443 79090874 274857720 79257581 1000000000000000000 743938602 362159406 320391016 650594927 1000000000000000000 196086016 82233182 165471038 103862563 1000000000000000000 127745720 91518453 17854025 27400425 1000000000000000000 515078149 186112759 353863737 496212653 1000000000000000000 107755591 82861575 85460532 86648173 1000000000000000000 518138057 422585004 512792309 183789766 1000000000000000000 329724758 81620141 153224928 325728879 1000000000000000000 934686343 429479339 822627400 521978325 1000000000000000000 426082278 101643508 222719284 371015219 1000000000000000000 222991506 32255758 104533617 40838286 1000000000000000000 465878705 327109500 455865035 367152549 1000000000000000000 133872729 62132727 108434577 23785352 1000000000000000000 123424180 82674157 29753241 119630602 1000000000000000000 562170863 326642324 530029445 213652885 1000000000000000000 477763336 473237772 443128283 110917844 1000000000000000000 180086610 38880188 51131698 138257336 1000000000000000000 330449396 252959022 84464724 216971738 1000000000000000000 140437025 135974843 114657574 23233998 1000000000000000000 884231702 13725723 698056237 213566762 1000000000000000000 822908890 573930119 703801899 109354419 1000000000000000000 224685761 83844981 156058800 98452526 1000000000000000000 81136872 77168568 2453803 13228338 1000000000000000000 703610745 599708614 275988842 70304019 1000000000000000000 291250848 87538809 185310135 285860361 1000000000000000000 857252488 342276959 429488202 209391475 1000000000000000000 860722014 634892314 369122736 535204292 1000000000000000000 540131772 161415619 391621644 32276714 1000000000000000000 763700917 121024975 365053156 652559916 1000000000000000000 649847238 78289313 27465664 215014000 1000000000000000000 71618745 58816718 66878161 34652947 1000000000000000000 192546858 190459044 149051321 95510643 1000000000000000000 269820205 27924581 75448286 20860434 1000000000000000000 430640044 37725739 4103874 81665070 1000000000000000000 460758522 373198373 173827331 129549998 1000000000000000000 130553811 75654119 103503920 15514177 1000000000000000000 313435010 97274807 53411555 301515103 1000000000000000000 460665450 385583015 110571949 68787858 1000000000000000000 316087132 157044134 16610345 166403550 1000000000000000000 891573699 290982136 215823484 169297899 1000000000000000000 124371385 90068347 67835547 43266909 1000000000000000000 40319126 30179025 31505746 26522907 1000000000000000000 799153505 414805532 514253342 355599602 1000000000000000000 189041246 141552472 185424370 186110544 1000000000000000000 49679487 9630380 33536723 41575680 1000000000000000000 113780066 108166248 25935473 51254410 1000000000000000000 350879395 118158541 226118745 6651284 1000000000000000000 794948809 623045222 10484114 113656721 1000000000000000000 101232832 89415271 88908988 11960585 1000000000000000000 510880992 207234901 131923282 24839191 1000000000000000000 561144818 71752205 473210794 397669216 1000000000000000000 104380366 75900162 971969 44506092 1000000000000000000 415801145 20479186 100531558 86930577 1000000000000000000 94312387 19578255 7578233 53153251 1000000000000000000 632470491 399732878 268747052 174619565 1000000000000000000 669247041 423877563 249299214 178813502 1000000000000000000 834547876 389207093 19639456 716809781 1000000000000000000 704817792 200950043 612664954 284943436 1000000000000000000 62241086 26467242 57711698 39501020 1000000000000000000 151113568 106084354 84433129 138160899 1000000000000000000 8509406 1139385 3530322 2198500 1000000000000000000 601657346 56338501 49212062 497668985 1000000000000000000 615563427 553945828 114788525 536911394 1000000000000000000 777519176 770690194 173128201 760003712 1000000000000000000 142713030 135426395 140376374 19338373 1000000000000000000 798536569 585828764 457423992 614641606 1000000000000000000 184747979 125067552 114782013 65715592 1000000000000000000 598999293 37607646 411206577 480500619 1000000000000000000 701617546 491136901 283059282 504849041 1000000000000000000 152820440 111737512 42468662 11197631 1000000000000000000 8443736 2396541 3579982 5935685 1000000000000000000 979909884 56325732 134891304 123011443 1000000000000000000 189376867 37441895 111753118 150037421 1000000000000000000 750081379 44428139 18670657 507821739 1000000000000000000 625982715 495107415 295824491 404168526 1000000000000000000 635115554 333955750 178562135 179474425 1000000000000000000 574587441 444706170 173091936 150217018 1000000000000000000 882456810 413602008 861562155 428553735 1000000000000000000 844381554 596017662 757294572 53864405 1000000000000000000 728471157 104476666 40180924 673372330 1000000000000000000 631860992 581129475 416069508 190880741 1000000000000000000 822228613 652006273 360102822 137585376 1000000000000000000 975912935 6132334 831127577 674142014 1000000000000000000 267436165 83280488 97718091 7449265 1000000000000000000 25355048 10422127 2601395 20184422 1000000000000000000 633682446 519602772 486293061 33789101 1000000000000000000 411756937 202037658 146328928 324960261 1000000000000000000 399782812 111021249 69002380 277428220 1000000000000000000 57061099 21384418 34541710 43573734 1000000000000000000 545110748 84440216 75837333 451796162 1000000000000000000 156176152 44740858 31964172 498205 1000000000000000000 177176801 163917392 3637130 28378371 1000000000000000000 153646531 7281376 6225566 101978721 1000000000000000000 84932433 83880563 27394301 73179371 1000000000000000000 917837541 200536196 585910433 70590726 1000000000000000000 678698841 599476757 637394660 426624319 1000000000000000000 316425511 85283340 50155995 105836415 1000000000000000000 158722799 117035517 72030411 68277888 1000000000000000000 877522150 217751279 634781189 733453583 1000000000000000000 139144338 54094173 108931048 52139308 1000000000000000000 501427588 114344572 250341852 84043355 1000000000000000000 851707888 781563964 727312801 197781185 1000000000000000000 2150163 1802992 266040 169912 1000000000000000000 944803286 618297189 298833407 84420093 1000000000000000000 415560263 347822003 118923683 122920596 1000000000000000000 974675730 156512667 488521241 572776223 1000000000000000000 169618047 131432363 3794718 126948984 1000000000000000000 148985086 54294017 29891554 77302796 1000000000000000000 757201377 615336106 59817204 392687619 1000000000000000000 528597994 484360605 179572357 265234485 1000000000000000000 475965270 295670333 303027504 38309621 1000000000000000000 100731212 21592336 89333495 52710098 1000000000000000000 883716873 487161418 232578054 733330813 1000000000000000000 801817792 339202880 196366163 392260909 1000000000000000000 218294220 137580745 78770544 145920783 1000000000000000000 882925386 546570733 239960664 464809026 1000000000000000000 554540574 367790237 65745750 322517122 1000000000000000000 207780700 93866297 201216362 75451017 1000000000000000000 634666851 204922668 180938385 115432607 1000000000000000000 338428114 281307876 123801238 292029855 1000000000000000000 574313830 197177467 387277446 235685880 1000000000000000000 250972558 138777674 224245025 116347584 1000000000000000000 533169955 4920696 180106809 528756271 1000000000000000000 462840431 64664604 18738363 407895943 1000000000000000000 610763184 444423275 565421069 168285526 1000000000000000000 611830359 602921589 16891770 202828931 1000000000000000000 74645808 58938315 66607917 23151350 1000000000000000000 882634665 215251108 822638886 60572274 1000000000000000000 689869069 624411159 402692419 345148883 1000000000000000000 909231577 703903380 606532630 189203645 1000000000000000000 700063143 246163691 18460360 187049461 1000000000000000000 167323535 157252098 30723258 61007282 1000000000000000000 870019902 466656854 605511051 296163047 1000000000000000000 996269333 712400785 860756321 330200013 1000000000000000000 684687994 32027024 635246271 564646111 1000000000000000000 210850138 52554050 119135689 51493006 1000000000000000000 124570074 123702388 46944872 103059752 1000000000000000000 278265645 70836452 170554650 191290596 1000000000000000000 219139396 104347833 127620031 143258850 1000000000000000000 355491677 249016999 162248276 23695966 1000000000000000000 145366285 99135093 144673119 744657 1000000000000000000 703376767 275508961 74576206 623454814 1000000000000000000 717376304 663090737 683210855 387563183 1000000000000000000 475835350 453669132 195191222 451854303 1000000000000000000 671516563 77360888 397020578 373427557 1000000000000000000 536111035 401203349 466805857 316906738 1000000000000000000 996863673 743539038 4216709 409267067 1000000000000000000 374809096 61765133 227834822 228504857 1000000000000000000 951699699 593625455 770299955 855355043 1000000000000000000 736965669 609202779 630387067 376882245 1000000000000000000 568869638 178626481 164100126 159426426 1000000000000000000 876885431 626152264 150515512 378840288 1000000000000000000 809865227 302603594 606036771 107315880 1000000000000000000 772889080 652962952 118968592 692980682 1000000000000000000 153887532 70339422 69821569 137822764 1000000000000000000 715828024 503521977 52366699 179739543 1000000000000000000 965521288 488792882 555062708 392054613 1000000000000000000 114555345 898232 112004169 51492947 1000000000000000000 393831604 290727637 315896442 74186704 1000000000000000000 581481761 78105485 510038708 549288996 1000000000000000000 508695394 493118708 353987385 15979455 1000000000000000000 824051893 529118933 487538966 795545056 1000000000000000000 132949857 80022931 87571371 110763385 1000000000000000000 569731621 296063118 300320249 425728100 1000000000000000000 7480248 2202520 5065293 3237426 1000000000000000000 195067163 135973404 79865596 69176504 1000000000000000000 888717853 340513614 543755600 651531485 1000000000000000000 886433666 317146589 118767633 25974315 1000000000000000000 62039746 11735783 26446625 46815014 1000000000000000000 512790312 254716364 425804858 396593217 1000000000000000000 734519295 704244098 603337464 732030072 1000000000000000000 48584811 28805949 45687032 18109169 1000000000000000000 172659256 21034417 69517703 8564984 1000000000000000000 375552289 113261012 119686361 344674518 1000000000000000000 969669530 572292520 831015184 84886597 1000000000000000000 423561920 23849656 261471081 163940697 1000000000000000000 573470193 359871935 227899712 341739394 1000000000000000000 476591250 429072088 114427338 458755415 1000000000000000000 313778589 123814960 270838243 196332907 1000000000000000000 804139953 609257279 178463768 416087268 1000000000000000000 962726091 137582027 461271681 939009998 1000000000000000000 822264474 270964597 189802776 800210558 1000000000000000000 638934821 302747253 81129775 617511540 1000000000000000000 138530223 78905777 21929353 75276480 1000000000000000000 207882370 96009844 109112370 136823543 1000000000000000000 84416474 32080224 6155026 55665970 1000000000000000000 722936041 506588935 589871904 599410918 1000000000000000000 151576714 132885602 56931584 15006262 1000000000000000000 977593800 839160093 532320999 254050215 1000000000000000000 426143840 25265049 421580980 259974021 1000000000000000000 546925310 333313977 82096982 198355932 1000000000000000000 743610018 219029782 133389690 270452979 1000000000000000000 276951849 41531249 90379102 162773143 1000000000000000000 510341265 391304495 428297884 265947157 1000000000000000000 837686388 371831124 772674000 644355595 1000000000000000000 296605444 280202160 163172735 193408466 1000000000000000000 876936840 428121872 600570965 146392626 1000000000000000000 804544476 640889635 767338302 469514861 1000000000000000000 349291794 81249727 194878759 235665909 1000000000000000000 113265755 77224194 103227057 70139464 1000000000000000000 595080989 94637615 133267487 30513085 1000000000000000000 915438632 882116546 418586395 556587917 1000000000000000000 270065064 167204157 93151475 200009721 1000000000000000000 102977021 58694971 9341394 53017141 1000000000000000000 711373849 114622116 122050114 466584327 1000000000000000000 167634637 130224960 137921254 49937017 1000000000000000000 984949070 450268266 365776584 890787103 1000000000000000000 567986231 436361412 219764539 144017333 1000000000000000000 382544947 248531249 119546767 223627571 1000000000000000000 426384999 294983225 273274253 280252955 1000000000000000000 83168661 81880707 30731579 52753210 1000000000000000000 640568028 577643666 436455342 182216061 1000000000000000000 168015348 108816040 43014985 139583918 1000000000000000000 30143393 27379776 1417715 16896437 1000000000000000000 501299890 312727412 184055187 26942382 1000000000000000000 581722280 131358605 464796773 272023043 1000000000000000000 319782842 37279215 129724747 217945431 1000000000000000000 846016279 829851760 358432749 657416127 1000000000000000000 593092794 141470626 506400499 524152765 1000000000000000000 547811561 230592630 397951724 455131088 1000000000000000000 773910657 604652704 687522240 68124131 1000000000000000000 666956435 138182772 152325709 66549000 1000000000000000000 864111611 736068363 184884638 399227632 1000000000000000000 953061029 619109788 926143954 168398493 1000000000000000000 1721771 1255793 917602 1377208 1000000000000000000 818491144 670464127 175978949 82332240 1000000000000000000 283586886 268522007 89655840 96402707 1000000000000000000 104206909 89399123 99734095 60263206 1000000000000000000 208807714 93923408 43771790 116238044 1000000000000000000 61747303 49340884 28277336 35041463 1000000000000000000 619756068 283520878 120552234 364510552 1000000000000000000 421877974 304097507 262429382 242922808 1000000000000000000 790431632 23892656 707042351 495710719 1000000000000000000 987601743 650010928 314304585 160843812 1000000000000000000 685400888 534328131 230134283 265095123 1000000000000000000 954929769 703842092 872446819 761935930 1000000000000000000 169994066 11889265 18051458 161842973 1000000000000000000 152442109 149019951 124915743 136271586 1000000000000000000 264758959 195777552 239110958 149650752 1000000000000000000 972494455 788278056 89495024 328218148 1000000000000000000 733349906 45997915 156234137 296796093 1000000000000000000 69673363 31098032 46175463 4958618 1000000000000000000 688367712 37061321 244824801 369418173 1000000000000000000 32032594 21001351 16964289 2679885 1000000000000000000 41286729 41264556 18874679 39826560 1000000000000000000 312770000 79010725 312393710 77024375 1000000000000000000 144924289 36717387 109033830 75524588 1000000000000000000 558739455 154936552 154393206 425427385 1000000000000000000 86459942 53689061 56643484 5028281 1000000000000000000 860565798 517948401 282493199 334972072 1000000000000000000 331666356 28229677 182473427 100150123 1000000000000000000 176594443 102040000 125729080 7030185 1000000000000000000 126001969 93240658 30478685 97432912 1000000000000000000 990908168 173956570 756002916 730270386 1000000000000000000 767868385 624650959 177853616 724161088 1000000000000000000 81877906 31203036 769974 45172781 1000000000000000000 755238219 317897928 423913152 399723359 1000000000000000000 384914525 205025169 204550000 289624027 1000000000000000000 398233882 40287854 71526783 210417316 1000000000000000000 439724875 69216746 127811992 74348732 1000000000000000000 49537716 36952792 38658258 32350390 1000000000000000000 830554907 685692979 523887167 602061898 1000000000000000000 40750259 17059969 32712762 22363562 1000000000000000000 749245708 495103506 343764642 530397859 1000000000000000000 396831505 195271666 55230268 274274043 1000000000000000000 127707237 45436043 112072847 101659772 1000000000000000000 360585253 88041171 305004449 53503507 1000000000000000000 752599783 485608971 285018046 137198708 1000000000000000000 137703317 31839884 36403072 57504083 1000000000000000000 785150116 218355507 180536913 246958089 1000000000000000000 155855107 5846295 71891888 50779076 1000000000000000000 418604817 188596087 329502895 305365616 1000000000000000000 397103351 360104933 347336516 336597031 1000000000000000000 496855433 329963216 167991882 231449469 1000000000000000000 350781483 190779003 4154416 161460540 1000000000000000000 23283586 23236373 20238009 19442439 1000000000000000000 656317863 308872886 180786302 385982173 1000000000000000000 177685632 101466606 14982127 15139710 1000000000000000000 983881378 781838109 925924078 646657990 1000000000000000000 540024486 369026031 483408214 67820565 1000000000000000000 929172626 675405224 673481602 688941212 1000000000000000000 926191773 219224590 178062129 386164707 1000000000000000000 388579008 257136677 176009757 159484551 1000000000000000000 854651050 381644115 762619904 526915072 1000000000000000000 840737279 778584194 22631660 271243401 1000000000000000000 862811711 510661919 725401702 284040693 1000000000000000000 44360513 5907060 13247873 17645285 1000000000000000000 695923318 543551608 366571931 361587644 1000000000000000000 522835630 152969800 520211319 437234738 1000000000000000000 34683971 28394882 33082788 10536463 1000000000000000000 446430816 224032918 202214498 94378949 1000000000000000000 851340559 137119934 323935077 518862626 1000000000000000000 701074763 290370422 336521429 319247046 1000000000000000000 367236228 124624291 150172787 313783385 1000000000000000000 296371648 57259581 116493034 119746734 1000000000000000000 499311884 153009601 35539294 356994795 1000000000000000000 194564100 25252298 68436296 109921503 1000000000000000000 744615246 570531321 457600664 593094095 1000000000000000000 625502470 425355445 102606562 508067254 1000000000000000000 398938668 38164192 27151220 179969298 1000000000000000000 154188220 92247354 122031341 115698791 1000000000000000000 543552778 111216006 309805433 310876516 1000000000000000000 440139907 371428480 293880771 49031796 1000000000000000000 891000830 21110969 534047798 231168764 1000000000000000000 908517604 845512700 166036903 679998456 1000000000000000000 210497694 8746526 155400772 83272035 1000000000000000000 69363887 54056153 15505900 68693648 1000000000000000000 591129835 331105999 320670848 553033753 1000000000000000000 763390593 694871757 702286296 356406366 1000000000000000000 633231018 95449816 311388912 35498324 1000000000000000000 202652735 94601670 160664512 77508847 1000000000000000000 944512535 882940623 660212554 886170774 1000000000000000000 326738022 268015746 2295771 136654802 1000000000000000000 633895042 260121977 473744144 452721616 1000000000000000000 235038336 84381197 102654919 232100202 1000000000000000000 574503095 209673135 370361364 495786767 1000000000000000000 820849315 809719681 268040911 729088008 1000000000000000000 638115224 601337124 420504876 580515543 1000000000000000000 806489631 191293749 189442651 768045541 1000000000000000000 492765748 215406042 61848046 145014986 1000000000000000000 433146012 128389692 181125677 384644947 1000000000000000000 715058498 663065191 70050475 262324619 1000000000000000000 405019207 317341049 329831336 365118110 1000000000000000000 398292934 165712842 209528770 65862069 1000000000000000000 347754697 137065613 162902576 55273342 1000000000000000000 320449879 234146057 277754677 303808735 1000000000000000000 858010846 283034547 800108843 603384087 1000000000000000000 916102132 342371332 499112294 73449640 1000000000000000000 368571727 144862752 282498509 39960197 1000000000000000000 1303411 556090 636292 1168492 1000000000000000000 211125685 121526671 112563486 72294391 1000000000000000000 684415128 435665658 476231711 626966401 1000000000000000000 37308783 7661294 26454562 29106760 1000000000000000000 318802191 124139248 310617523 284225502 1000000000000000000 781677877 532507012 670582302 364437408 1000000000000000000 508512833 465783573 171064613 404154720 1000000000000000000 17062043 11316163 6534779 16050263 1000000000000000000 137008762 96037347 115629731 89352216 1000000000000000000 271075357 88869420 54905280 21286175 1000000000000000000 765486544 194988072 320120465 557973766 1000000000000000000 790992989 362247351 644850470 382833715 1000000000000000000 676759543 292540758 233442825 455225918 1000000000000000000 990571707 969641018 441569719 797119412 1000000000000000000 61483333 4441558 3422435 1179472 1000000000000000000 745878295 417038473 316320379 168152149 1000000000000000000 574173245 428529653 19889375 302156984 1000000000000000000 400487476 392608977 91377981 372646890 1000000000000000000 29631810 27177040 2022258 18350118 1000000000000000000 373278028 15598669 104689820 106633102 1000000000000000000 65559721 4471248 9042432 30218346 1000000000000000000 415746282 196424455 280156869 21236463 1000000000000000000 941941089 42120723 559370346 688851293 1000000000000000000 643000849 78718245 363254939 246492545 1000000000000000000 419037741 109083928 320348290 85685066 1000000000000000000 859455289 633917190 779579562 303301934 1000000000000000000 457632773 257349672 394558278 330836278 1000000000000000000 568088018 93049985 115246743 304731019 1000000000000000000 785818509 89956255 50314396 612543270 1000000000000000000 448991557 378118707 442300259 324236125 1000000000000000000 198822881 104056654 151144262 122956330 1000000000000000000 453881153 206235189 293695679 236051149 1000000000000000000 311574847 127047125 3201330 50177277 1000000000000000000 489909819 368689317 292202816 328377666 1000000000000000000 822375206 553179659 442576932 415506958 1000000000000000000 868019641 564051075 794962954 629087866 1000000000000000000 421357808 35966157 21047361 149895133 1000000000000000000 713318907 374097227 708440178 4811351 1000000000000000000 274595664 200602981 198695413 187864639 1000000000000000000 391995793 201949608 93961553 130235661 1000000000000000000 319997342 129278084 218559649 203950275 1000000000000000000 889030697 641505961 499346694 456921688 1000000000000000000 826868603 920040 420429373 8901926 1000000000000000000 199608369 172290981 23896272 177865271 1000000000000000000 335834850 241655442 334903888 168790398 1000000000000000000 608296541 158750750 375032988 154693221 1000000000000000000 888316095 766498010 273594212 506772788 1000000000000000000 498301700 484050464 183629145 174663245 1000000000000000000 102577267 41308435 83865982 19697641 1000000000000000000 490229228 307302737 303658895 335841197 1000000000000000000 191035796 116112785 32607888 66783847 1000000000000000000 2547897 88943 1546071 223684 1000000000000000000 393782435 120590147 329988578 263869738 1000000000000000000 362864448 187302206 329072402 215161687 1000000000000000000 427871604 223484938 354939461 280960314 1000000000000000000 987889439 572816147 190045790 2236634 1000000000000000000 990413975 360036086 806564449 414755787 1000000000000000000 208954723 112652582 118014779 61290990 1000000000000000000 470452962 52995645 61046678 109825968 1000000000000000000 846546644 447122557 119021455 281406253 1000000000000000000 353075790 191879454 298394992 59769938 1000000000000000000 610931681 570383231 186862315 450900899 1000000000000000000 13648106 6191928 2887193 6483790 1000000000000000000 643947653 65772249 555507300 616788581 1000000000000000000 335810791 216309412 5912250 201770278 1000000000000000000 584940292 478954816 394509276 242844251 1000000000000000000 581764497 279376562 473117836 530761021 1000000000000000000 5448819 2819399 4873546 5199478 1000000000000000000 86823805 24813438 53396887 73097057 1000000000000000000 101338023 13247807 68508224 26800181 1000000000000000000 663015892 377948669 158860746 24172761 1000000000000000000 682891473 162656450 606981755 49353831 1000000000000000000 135389664 13626589 38279558 76325534 1000000000000000000 592695278 138298879 585860580 413298782 1000000000000000000 790356479 18311516 460586452 70965842 1000000000000000000 145550395 61736223 86179996 141256231 1000000000000000000 332065932 38405993 61428055 318163648 1000000000000000000 887698360 777797921 313857231 643732071 1000000000000000000 841471599 357149815 434358566 243543461 1000000000000000000 35669876 1309328 27806942 24886841 1000000000000000000 265810739 108784054 250236383 190879432 1000000000000000000 761983909 687181407 530112647 586415027 1000000000000000000 984442867 607377360 189172388 76195728 1000000000000000000 68653636 36429303 8333059 65649643 1000000000000000000 319287813 144132083 172038792 277878938 1000000000000000000 170347567 8398763 32789182 158247219 1000000000000000000 69996716 57519456 25770144 48794945 1000000000000000000 307927063 197453146 206202086 51214719 1000000000000000000 299393963 259930933 124952332 141664646 1000000000000000000 346249781 96079888 209482281 35603554 1000000000000000000 172084696 152008612 140275887 162394142 1000000000000000000 743236362 488018321 636804878 591381529 1000000000000000000 492558319 176414583 142806134 480540373 1000000000000000000 553396987 548728436 169079587 514221978 1000000000000000000 433195592 246307965 314825515 192186826 1000000000000000000 536885320 2285148 195866044 234997601 1000000000000000000 215414162 33653368 179983030 51612798 1000000000000000000 219586686 148095978 199057114 205262032 1000000000000000000 564471332 264527590 50909735 416001319 1000000000000000000 169292949 34293976 63799509 33016291 1000000000000000000 495275213 14344175 447114442 479732910 1000000000000000000 717745864 104371233 349182111 262951328 1000000000000000000 129638573 41700168 61746963 27871825 1000000000000000000 320439861 315288142 16512937 182182333 1000000000000000000 540951811 327475326 317645471 323780578 1000000000000000000 442590743 387058568 328384324 120508527 1000000000000000000 548515176 356769540 547791400 227156934 1000000000000000000 697782514 563784661 19589897 628904406 1000000000000000000 339124190 172283867 325569056 25234809 1000000000000000000 749597298 683809004 107333538 386939842 1000000000000000000 598494464 350805984 9695373 319629482 1000000000000000000 641253796 512299881 524209131 625284689 1000000000000000000 797482680 80810623 277239628 781565988 1000000000000000000 527460023 250624036 196986643 102390383 1000000000000000000 64361217 18051151 31109168 64344520 1000000000000000000 27453137 22075043 24907433 15335359 1000000000000000000 886428177 333369598 274831093 369823049 1000000000000000000 392468534 51467332 183785919 248984443 1000000000000000000 447131847 11469989 185073705 23583168 1000000000000000000 573149821 481724105 60331198 226226841 1000000000000000000 574516496 419675436 359508993 152084157 1000000000000000000 286176217 36081895 3249128 192728438 1000000000000000000 832490417 593749787 480852871 291880479 1000000000000000000 880520078 632254599 443468936 195055877 1000000000000000000 416534032 162351702 315412746 71812897 1000000000000000000 321871561 305454135 197211229 151193643 1000000000000000000 57574407 15605600 4897971 16358840 1000000000000000000 219564296 166466619 123078279 139985919 1000000000000000000 808955131 316348286 249820104 104375474 1000000000000000000 125866137 74814848 47902792 50418451 1000000000000000000 554868441 534296477 318278418 318410980 1000000000000000000 144849971 14965612 94263256 119424274 1000000000000000000 9948845 9416177 5872288 7036064 1000000000000000000 41093362 12801999 8204057 19908486 1000000000000000000 719985953 232414224 458388652 268437732 1000000000000000000 854316815 446672821 225619486 605951264 1000000000000000000 629274072 132409424 523825111 74116884 1000000000000000000 493606359 217239753 442453239 81466260 1000000000000000000 125163920 45188906 94308536 64306927 1000000000000000000 390902322 214284177 343028678 148761510 1000000000000000000 273463364 203695889 142355953 108163003 1000000000000000000 885221701 192682530 164379892 701620030 1000000000000000000 587928412 180944885 231995403 143441821 1000000000000000000 419737026 274657484 80038264 298425076 1000000000000000000 471896525 354099448 358946460 152724951 1000000000000000000 256620954 114717995 27783590 125756746 1000000000000000000 233274200 37635640 65798743 232070727 1000000000000000000 135700171 116920729 50408315 107154231 1000000000000000000 993241099 17144496 901166181 446725307 1000000000000000000 380826140 228384749 290844448 285352929 1000000000000000000 918554555 27537794 662560068 31623843 1000000000000000000 523776236 12691340 418935066 343754198 1000000000000000000 328751905 59581202 101680425 166171673 1000000000000000000 109396886 68638900 38630366 4205746 1000000000000000000 310838180 22691013 183125631 109121838 1000000000000000000 823672359 422914174 685854061 614846461 1000000000000000000 163299428 139948981 85963649 104477926 1000000000000000000 809656554 604942284 257419807 555766811 1000000000000000000 127780991 127285521 28252972 31499818 1000000000000000000 943120597 460192870 322245057 78094272 1000000000000000000 87157762 71100708 84383659 41719662 1000000000000000000 931047247 797371010 654848858 873603709 1000000000000000000 31599699 7121987 15026034 10769837 1000000000000000000 36788827 1031669 28929490 19181378 1000000000000000000 758683163 532751332 665346679 323006690 1000000000000000000 967453808 9904238 15356976 719335252 1000000000000000000 64990119 6917120 10329504 5429227 1000000000000000000 361546665 243555562 121332674 125657656 1000000000000000000 374001251 342185710 111737798 208445151 1000000000000000000 265588156 228181960 48264017 52216422 1000000000000000000 909819724 825101725 251504419 819714943 1000000000000000000 431764257 280649039 104775829 115029386 1000000000000000000 533010465 47008026 343463156 274326403 1000000000000000000 857929476 267721813 689377514 468767242 1000000000000000000 397679662 234201818 132561367 348429328 1000000000000000000 446084058 197211172 313880180 317066060 1000000000000000000 418343545 220062979 127523149 367666013 1000000000000000000 344943424 206447937 68388648 252198020 1000000000000000000 788001989 531853444 292748312 160891976 1000000000000000000 312372790 27942035 266858891 1366454 1000000000000000000 438596380 427133124 161091060 74738641 1000000000000000000 223821331 58076312 58498585 57335948 1000000000000000000 749934041 218230848 211271052 62508421 1000000000000000000 969421913 673065253 501275329 913101116 1000000000000000000 626648501 286796256 542636142 211869975 1000000000000000000 975778493 841147155 487893394 167178810 1000000000000000000 42124894 15303032 22045343 97841 1000000000000000000 176651395 145180584 68032875 119798624 1000000000000000000 964345352 666855745 566451620 136497535 1000000000000000000 880395663 374860406 54718803 357329032 1000000000000000000 744220611 95274768 371294790 603284979 1000000000000000000 664265740 389457628 663194408 275415116 1000000000000000000 931159326 471993861 667793850 293773970 1000000000000000000 561766106 235563090 197300936 126272737 1000000000000000000 523071162 293100209 315229657 238195184 1000000000000000000 232199209 20993756 180282910 108263614 1000000000000000000 702936752 343466981 343421413 531502457 1000000000000000000 214538885 141114138 165429024 39804436 1000000000000000000 252518136 105045109 226175303 65370816 1000000000000000000 153236920 144897626 55158526 110392239 1000000000000000000 510487207 341782072 490054013 81418688 1000000000000000000 235799539 2489324 230561559 211280076 1000000000000000000 206434384 119017443 35892915 65398923 1000000000000000000 475232790 208203587 51934313 289435546 1000000000000000000 975294292 573936348 626062743 348895222 1000000000000000000 862815154 94081786 144395187 56370923 1000000000000000000 997785748 176124075 17307987 735108414 1000000000000000000 284754432 278096611 57698597 142872718 1000000000000000000 964807145 298527286 19930836 183442582 1000000000000000000 162042475 109143494 44325917 111393942 1000000000000000000 316258879 243093226 269972384 94645172 1000000000000000000 609262472 544379056 162631276 544074639 1000000000000000000 133066125 13589307 69513791 78838340 1000000000000000000 102148251 100631027 74450128 95414419 1000000000000000000 163023477 78325610 77706021 50718425 1000000000000000000 845375917 159069594 507868537 472954914 1000000000000000000 955857731 214478648 577188255 631649815 1000000000000000000 937095027 82382579 311840699 161600826 1000000000000000000 87503324 35574862 80233182 73406051 1000000000000000000 154409490 151836622 59489441 63879140 1000000000000000000 347780356 335749089 212777347 304613293 1000000000000000000 165699786 133734840 147200022 145020245 1000000000000000000 159972657 51953384 56553150 67219005 1000000000000000000 720796562 440855865 91385477 373021944 1000000000000000000 611594171 387864829 295192273 539893435 1000000000000000000 193699295 139485411 8950758 155338863 1000000000000000000 486403596 57702424 182588486 364177535 1000000000000000000 865231328 251523871 285288231 430247337 1000000000000000000 471295865 49774454 247156292 380068062 1000000000000000000 585665092 218968250 567721697 321704136 1000000000000000000 268438319 33416616 106142734 251675769 1000000000000000000 243465393 53900010 62885202 239958294 1000000000000000000 180303812 179672030 19750606 175154946 1000000000000000000 129641232 2289890 37762656 71196059 1000000000000000000 528361770 60108906 445007567 357536953 1000000000000000000 967774699 441850146 129312119 651360685 1000000000000000000 681299858 326719258 558655606 150194241 1000000000000000000 183922271 28503173 13734238 91276716 1000000000000000000 536972826 302538018 220188272 281883737 1000000000000000000 134323704 60711376 25973014 8446547 1000000000000000000 636260855 239864526 159797723 67110778 1000000000000000000 61868205 27708566 26298588 41310324 1000000000000000000 208440030 59843881 49305879 198421310 1000000000000000000 703434731 666005152 31115571 194204670 1000000000000000000 155201115 120671251 113007920 147301721 1000000000000000000 228270498 130335922 125499782 7647177 1000000000000000000 368362894 320299072 99631818 367316144 1000000000000000000 939504949 609248200 375969679 453482212 1000000000000000000 23691477 7276481 10144937 11838496 1000000000000000000 792406783 643798465 472755799 586015980 1000000000000000000 494020492 310792571 50683660 102905673 1000000000000000000 227402019 192431140 218610 91255449 1000000000000000000 269350894 116585387 260124854 187365916 1000000000000000000 646586892 223335580 520380724 202370798 1000000000000000000 270705895 251132626 198895364 182675152 1000000000000000000 644298650 91309213 16013950 484557176 1000000000000000000 442232065 273919869 181201700 342841007 1000000000000000000 501086213 362024696 126056726 407357900 1000000000000000000 109939155 74116554 90698539 5294641 1000000000000000000 629799332 3745108 597013865 418695026 1000000000000000000 972982515 355750766 696772296 222486924 1000000000000000000 434393509 144135103 15572461 97973385 1000000000000000000 436208505 70964769 288286015 35859868 1000000000000000000 40936154 4565817 23965936 18766938 1000000000000000000 839716344 636907005 359452040 828962039 1000000000000000000 178668329 91381055 137544185 138014491 1000000000000000000 164718943 109627949 110554090 83263070 1000000000000000000 250882440 196611241 212529169 17051740 1000000000000000000 117713473 53695801 57771471 110902624 1000000000000000000 838752330 630291899 515299938 554737055 1000000000000000000 780541931 437461062 161515348 343296750 1000000000000000000 97175241 50587466 7541307 33718593 1000000000000000000 156370333 94650741 7105838 28557918 1000000000000000000 46540866 32897578 24784842 12881262 1000000000000000000 555900124 76485658 83173006 148055540 1000000000000000000 621587953 527120715 285189973 384317812 1000000000000000000 248238789 2908534 28690413 69918622 1000000000000000000 805223519 753837599 132237396 517072536 1000000000000000000 491378692 323412744 60955488 400698708 1000000000000000000 870381869 696681174 273026454 328083664 1000000000000000000 563876101 63525989 460095899 485475052 1000000000000000000 955338147 533395545 94677057 336550857 1000000000000000000 114748476 85907995 51768942 68407231 1000000000000000000 182111172 152010794 100599318 169336052 1000000000000000000 18371373 4078122 2692443 2072937 1000000000000000000 44221302 41348469 44089530 27854597 1000000000000000000 829795913 96562699 713353535 325850648 1000000000000000000 449164262 389716362 372963303 65332013 1000000000000000000 638126601 583993218 468744280 52270535 1000000000000000000 932370251 180918445 503154876 441764889 1000000000000000000 83045184 35079995 14172531 32621986 1000000000000000000 339993036 67470945 66267878 125922759 1000000000000000000 296133137 257350323 30239336 56531941 1000000000000000000 369562494 45979047 111579670 84650456 1000000000000000000 645370232 57458645 167230687 61574421 1000000000000000000 381682405 334135029 244548884 252202585 1000000000000000000 388158347 350752804 349740511 308668134 1000000000000000000 981918699 760125158 502970039 15919574 1000000000000000000 793894241 600522728 66356045 96581786 1000000000000000000 264404821 247737456 171802235 197902994 1000000000000000000 716660605 469751020 676276482 133537957 1000000000000000000 357197997 262929201 35545153 236964611 1000000000000000000 340565174 247639982 289564446 116628026 1000000000000000000 614841126 129732171 581373568 506186493 1000000000000000000 603789078 118313596 502142783 352328150 1000000000000000000 899073074 595652530 162102108 153585298 1000000000000000000 432543913 69742045 135633961 267655159 1000000000000000000 208940513 118897665 116330250 79210454 1000000000000000000 28427963 9747998 20040647 10115244 1000000000000000000 874566266 340623023 131916051 342410568 1000000000000000000 761382223 85073830 277716197 12683652 1000000000000000000 699091775 597963199 333555489 356136774 1000000000000000000 926487057 733517606 75296831 22815381 1000000000000000000 569175702 530062182 395842042 167068205 1000000000000000000 415538457 289488859 335356822 325770071 1000000000000000000 19324599 14165398 13665428 10893632 1000000000000000000 593384650 25872354 127043042 215301215 1000000000000000000 433421768 48715615 93874871 191020096 1000000000000000000 413076885 354874250 276297743 229997053 1000000000000000000 614968211 19314167 348330078 32232108 1000000000000000000 637335995 150785687 410447800 129734244 1000000000000000000 5166088 3443628 2622345 4068419 1000000000000000000 121277719 34907924 103884680 90947154 1000000000000000000 525961905 266239116 183247413 488286322 1000000000000000000 321306671 89951444 157474447 280589482 1000000000000000000 200713324 12319352 41213885 40061920 1000000000000000000 279350270 185920419 228427586 251620955 1000000000000000000 62724711 24431605 37768477 244404 1000000000000000000 551543513 453210553 226044919 227881150 1000000000000000000 742058570 120681944 63894661 674544289 1000000000000000000 967513175 499978815 469090914 865776796 1000000000000000000 962561787 39360094 634221601 792208637 1000000000000000000 627885566 442298888 181679137 302900928 1000000000000000000 67381004 30553688 7380932 49244047 1000000000000000000 187672491 112360844 74206486 128529636 1000000000000000000 425102538 209481918 348847301 66359114 1000000000000000000 97865007 74909861 28689714 90244705 1000000000000000000 972499745 310855971 377851886 528560522 1000000000000000000 535087813 454745470 275895137 447884510 1000000000000000000 172130404 36097476 51983878 142675906 1000000000000000000 837227844 118666662 552784838 381582732 1000000000000000000 763396837 138804878 479105989 459626710 1000000000000000000 285620966 39486134 91881394 118988365 1000000000000000000 100606477 82475582 24204714 48748134 1000000000000000000 193046979 146088630 106086230 86217092 1000000000000000000 133753067 33796032 62784507 133384016 1000000000000000000 824562379 574004744 512619069 641309546 1000000000000000000 548317382 104521650 267951283 289436184 1000000000000000000 496173997 322935337 77021265 300441863 1000000000000000000 472857683 98880402 128948107 70500420 1000000000000000000 196072741 17608028 51949436 8722830 1000000000000000000 652828974 608914747 516790297 606103063 1000000000000000000 226217928 90826824 126017921 30556920 1000000000000000000 620553121 150563995 150291139 236721295 1000000000000000000 675661548 607600158 140288753 124666324 1000000000000000000 308620208 56221563 252183333 160771829 1000000000000000000 674337583 294892772 74140123 560219668 1000000000000000000 365779708 270018336 347574367 121057636 1000000000000000000 836396079 609823737 665735114 516558615 1000000000000000000 644577678 579818900 256610422 35698102 1000000000000000000 577101650 430112013 167505342 48398594 1000000000000000000 263680508 44173701 90976852 219427865 1000000000000000000 132309905 64399788 119593310 29843965 1000000000000000000 520567128 108082104 229855424 38948425 1000000000000000000 31342929 6941344 17002751 4162889 1000000000000000000 219879645 188403457 116332421 123424022 1000000000000000000 572903784 160893768 363508431 328415688 1000000000000000000 405694040 135687818 308066410 212843548 1000000000000000000 329753318 20372903 153471592 87135750 1000000000000000000 465519258 156782378 181678629 88840857 1000000000000000000 542798313 135107490 423651878 144026624 1000000000000000000 151413708 135219947 58796281 90741717 1000000000000000000 496667738 206205067 189422472 321209876 1000000000000000000 125550091 75405418 10107092 11824350 1000000000000000000 708866242 390130714 351521385 363509635 1000000000000000000 602475421 238245200 106870386 234928893 1000000000000000000 959706235 854983455 494745555 528589201 1000000000000000000 587846118 109558034 147070456 149531990 1000000000000000000 497869389 216383547 314481875 153819578 1000000000000000000 636374357 59294408 517486749 338443268 1000000000000000000 252044567 152201611 231116492 157730204 1000000000000000000 331148585 328531556 272124039 275007313 1000000000000000000 959946554 910782656 127755863 763075271 1000000000000000000 539047583 46473736 431286548 335445597 1000000000000000000 299036609 111967058 207704462 218474782 1000000000000000000 453814742 370722271 424494079 134420512 1000000000000000000 555327699 219193898 536591909 489697289 1000000000000000000 386270271 295819344 167507326 198985102 1000000000000000000 851630703 228885732 304101703 787070189 1000000000000000000 32809140 20461760 15662198 27302680 1000000000000000000 742279245 179871670 180707347 619653711 1000000000000000000 529397813 309269023 493972351 274984579 1000000000000000000 3182484 1509678 1558554 197959 1000000000000000000 171824876 96243336 66255249 93935008 1000000000000000000 120042505 117749276 99885135 35643773 1000000000000000000 542318525 451533513 390826271 460735438 1000000000000000000 584213169 341005123 255311290 368353989 1000000000000000000 863501282 160238951 556561655 138252591 1000000000000000000 225202246 144871831 53500113 214673831 1000000000000000000 970992229 616246870 957835933 845577318 1000000000000000000 538843006 498270409 58579287 385503434 1000000000000000000 123278798 113284630 25592719 98926659 1000000000000000000 872851664 677829364 262189269 92890105 1000000000000000000 906483180 87474727 891383664 388694896 1000000000000000000 295970287 103930363 294466512 235658887 1000000000000000000 195367331 83583361 19545467 49143649 1000000000000000000 825219308 789062076 680214633 625097306 1000000000000000000 74740961 37696571 47664950 30939434 1000000000000000000 167570479 147263569 152039896 98791174 1000000000000000000 678040777 382526405 261795764 549059460 1000000000000000000 499255035 242000364 313756126 250306368 1000000000000000000 996218036 497055098 507404627 871351539 1000000000000000000 676969840 432208223 576981541 180229430 1000000000000000000 797714892 573854541 265323440 161265217 1000000000000000000 560387659 322057801 463790174 489797966 1000000000000000000 617633642 266404651 313282190 489469216 1000000000000000000 74782218 45641139 60554772 26182726 1000000000000000000 696421271 158579926 278729718 525843712 1000000000000000000 931760794 58871901 748025674 247392481 1000000000000000000 854733270 762576570 764008714 741387542 1000000000000000000 565455523 306577243 417587907 224224757 1000000000000000000 312534972 296604433 308776469 273963816 1000000000000000000 260248864 99952013 40756492 22808988 1000000000000000000 334098673 82381793 778873 236311400 1000000000000000000 665205028 342295853 166052241 188129188 1000000000000000000 25375927 9594149 12928440 20690637 1000000000000000000 229888186 194367083 115574015 28989195 1000000000000000000 286346398 212484794 218203673 38034655 1000000000000000000 739443462 646389999 445001708 452067338 1000000000000000000 264477138 248815334 173366368 16865917 1000000000000000000 600936681 266193420 481282041 9161167 1000000000000000000 85392490 75731809 57024745 37886333 1000000000000000000 323758274 126142203 156546679 30723108 1000000000000000000 495391409 269224397 419517208 460868311 1000000000000000000 376237197 175591994 322836498 80344079 1000000000000000000 245747766 202988276 78281128 194807264 1000000000000000000 811682273 343386262 304955091 795780640 1000000000000000000 492729011 422656662 248965701 479656142 1000000000000000000 888157410 181403690 448117762 488341252 1000000000000000000 866907930 846658051 701712761 813892800 1000000000000000000 387471193 200952114 293994917 97783453 1000000000000000000 351174298 13770484 22223026 157904077 1000000000000000000 854835630 450020444 718566749 306355196 1000000000000000000 771695840 139217615 752894192 58419379 1000000000000000000 20510582 9601651 4345720 11588437 1000000000000000000 978681220 410110872 154471454 862564165 1000000000000000000 573822628 514660970 294745766 465693602 1000000000000000000 951549002 946166339 421617699 76736618 1000000000000000000 825777098 166242901 454459120 118243416 1000000000000000000 66226709 60552150 38834794 28355108 1000000000000000000 514420895 304108073 77754633 195706061 1000000000000000000 363644948 278019007 75331165 137942243 1000000000000000000 66734350 16984395 19442841 54278847 1000000000000000000 612165447 112902364 487407516 9252307 1000000000000000000 797897594 251270687 699748225 261335927 1000000000000000000 439087859 325815589 26196247 59574581 1000000000000000000 154347975 47777719 129179152 125581780 1000000000000000000 811224428 37446586 134100260 623175945 1000000000000000000 163672191 30279775 70897050 31750512 1000000000000000000 338143713 294871758 100409553 163269423 1000000000000000000 505354741 447614074 2487570 467321554 1000000000000000000 446069894 178226255 156450530 219821938 1000000000000000000 146165926 17988621 129374635 127219774 1000000000000000000 738145490 225770482 169687678 305750919 1000000000000000000 573340060 412105141 353046550 201047525 1000000000000000000 640968692 259159668 472718051 329527628 1000000000000000000 665427499 400264811 643191683 28646695 1000000000000000000 608839824 222014793 73790303 41155205 1000000000000000000 304363267 274014699 53285267 37486748 1000000000000000000 671006389 451635893 410009161 415371848 1000000000000000000 595455027 490710000 211768378 385379822 1000000000000000000 512976349 21943456 63288995 453054793 1000000000000000000 552819256 446811658 331570738 99588945 1000000000000000000 776206744 273146413 548115660 527467734 1000000000000000000 613571990 441190452 357504938 146376980 1000000000000000000 836994763 322217291 601658260 418742334 1000000000000000000 39715330 21180091 37268979 11433273 1000000000000000000 679120917 300523486 65482855 455605448 1000000000000000000 573056444 327300381 485632306 122182999 1000000000000000000 676496787 608733391 537543968 513662222 1000000000000000000 305365279 249089726 95434802 231369015 1000000000000000000 363633096 233753145 118614745 119619891 1000000000000000000 375121661 55755406 140137831 143606175 1000000000000000000 688766087 502595406 171667980 357044336 1000000000000000000 785303909 306955561 353471270 67733921 1000000000000000000 654709825 44668831 331016151 471336162 1000000000000000000 365852050 219960737 211154884 139344133 1000000000000000000 361382171 50602085 165091741 13984221 1000000000000000000 901646923 377311863 282427424 7321715 1000000000000000000 571152512 435838585 173211145 395153792 1000000000000000000 398982948 398718022 5955237 383280325 1000000000000000000 527770774 168535904 496699564 211661398 1000000000000000000 275969238 221511874 96894058 30390995 1000000000000000000 436394009 54504535 277300447 339981509 1000000000000000000 407489587 229849447 154731280 28313168 1000000000000000000 468520687 131683288 458036112 21794934 1000000000000000000 752483955 539474937 691033315 125261302 1000000000000000000 857227001 401277358 399035556 628931153 1000000000000000000 901806336 149289991 683129611 610482416 1000000000000000000 700927356 6936904 310604359 413376036 1000000000000000000 376471338 62751062 189522748 338692570 1000000000000000000 530438278 123709513 183071013 520997900 1000000000000000000 965591039 946820909 59426579 271589743 1000000000000000000 889439140 157212066 409940410 637132297 1000000000000000000 504094570 50975103 37326507 48235218 1000000000000000000 990431962 545669208 124813021 607910377 1000000000000000000 552302131 29168463 353867173 449284371 1000000000000000000 612524813 35643583 263042516 607710700 1000000000000000000 510907140 291895115 296109022 432184270 1000000000000000000 840942323 556808354 656019423 292415648 1000000000000000000 712959732 216597988 694552026 362227804 1000000000000000000 291641328 257820235 217970169 6914067 1000000000000000000 296649456 13437223 254575105 203296452 1000000000000000000 440589646 317958047 438325056 309966293 1000000000000000000 100078696 74070874 92815923 50770260 1000000000000000000 3376330 1290413 2573950 644915 1000000000000000000 34948044 1117265 30424088 30706242 1000000000000000000 754619553 189201004 509938690 369259621 1000000000000000000 136706522 108180749 23884213 128991055 1000000000000000000 242820860 75125738 175861821 14909913 1000000000000000000 303289219 73240373 274932633 163257622 1000000000000000000 792572938 180547816 297853558 781929378 1000000000000000000 56449861 18195450 13180952 25326937 1000000000000000000 873578840 445369675 342410556 387248386 1000000000000000000 682941 223493 597719 122774 1000000000000000000 721380741 40700297 630074557 404094055 1000000000000000000 921197301 154935272 557544011 842102259 1000000000000000000 315479324 115008313 165134098 46911518 1000000000000000000 579352047 208852789 160127425 545806499 1000000000000000000 595390211 76912419 311954186 52028779 1000000000000000000 279634540 251593730 30185072 52992673 1000000000000000000 696156690 634380987 451281386 615415367 1000000000000000000 43083534 3896669 18267774 27736624 1000000000000000000 506934 84524 127761 182958 1000000000000000000 443717439 27889009 154940354 1137581 1000000000000000000 57284409 9088299 8048676 32277530 1000000000000000000 481306672 322334488 64598575 370238883 1000000000000000000 188495510 18605315 158181126 108191341 1000000000000000000 511906181 362982423 142315898 257885285 1000000000000000000 954068267 676426444 702726845 922150331 1000000000000000000 993538016 171674567 659826233 426746148 1000000000000000000 796658463 196059328 106230223 294393297 1000000000000000000 500272569 352402177 190091769 162021 1000000000000000000 452985459 140464668 452907905 245036286 1000000000000000000 262949337 89423816 35482027 151625356 1000000000000000000 550134410 428725605 270919132 175344774 1000000000000000000 186598194 164945512 98115833 32506781 1000000000000000000 329537174 141819034 272062867 328688048 1000000000000000000 294988258 137520242 263026516 68157426 1000000000000000000 758966545 44603066 677841265 99546758 1000000000000000000 24760847 12623217 15528071 11573486 1000000000000000000 951786975 933798540 583700853 410287829 1000000000000000000 36385381 21362840 7255192 18012075 1000000000000000000 506003086 30796538 81721119 102930381 1000000000000000000 700547970 498229817 354057866 538292543 1000000000000000000 210796993 56309264 173303555 200804565 1000000000000000000 678428229 428108051 502742584 477191968 1000000000000000000 151551525 65265650 17281144 81987396 1000000000000000000 29152177 1063991 20290105 23424120 1000000000000000000 315017075 283857895 294446730 274726268 1000000000000000000 717028862 538194218 276093849 391332079 1000000000000000000 364917743 78365809 72040519 10995688 1000000000000000000 192542456 173491706 10949160 127542871 1000000000000000000 979635434 652654142 864792357 60326346 1000000000000000000 877994850 648708889 304331626 571544019 1000000000000000000 595448421 512531546 509054573 393275178 1000000000000000000 698216640 437885826 519648729 334549533 1000000000000000000 695634336 444025973 20114882 39280631 1000000000000000000 202142592 159373569 92476804 193675426 1000000000000000000 751917521 363415574 372326648 539494513 1000000000000000000 217437178 159912530 94705266 43806545 1000000000000000000 816614773 367858130 641180926 591161799 1000000000000000000 951236382 524815404 256809854 887939739 1000000000000000000 913896005 653053359 300870570 804453436 1000000000000000000 885129080 809707454 575669259 479587669 1000000000000000000 607682739 423734772 254767870 77851701 1000000000000000000 111656068 82251816 10737672 108997408 1000000000000000000 604411329 427748626 62491582 183332168 1000000000000000000 494339949 462095206 38253691 52378183 1000000000000000000 49878732 48882871 18666074 866031 1000000000000000000 735447221 717265925 391828274 38733564 1000000000000000000 516330300 292620819 209349750 88976853 1000000000000000000 184430394 140367311 91300582 79612232 1000000000000000000 235255711 73936454 79179838 53806774 1000000000000000000 706247429 431545562 103729422 69382347 1000000000000000000 796851696 617706257 14646112 284777403 1000000000000000000 870710836 733404446 358759988 552069106 1000000000000000000 871289320 469420947 27520653 331802882 1000000000000000000 650939159 392721622 459519057 420240696 1000000000000000000 716703798 142020727 261920159 560181864 1000000000000000000 316677044 38012419 119470338 136115403 1000000000000000000 786001956 26542879 783642940 585358590 1000000000000000000 869293339 539416090 614267775 742323602 1000000000000000000 208341073 155388953 1800964 76055447 1000000000000000000 30087252 16713057 25444329 5708124 1000000000000000000 32334371 4506337 22448137 21936629 1000000000000000000 705374178 65772624 478319056 327133617 1000000000000000000 857020900 718676014 232365417 613688606 1000000000000000000 409831404 118871740 407745632 46372057 1000000000000000000 548760825 217827832 161793851 290914867 1000000000000000000 254408138 185242257 104409034 91036359 1000000000000000000 104471739 84167694 40898915 91880496 1000000000000000000 416792661 206419255 228116246 53153890 1000000000000000000 291311584 90057259 245681254 150968070 1000000000000000000 982003280 589753210 185663019 823459810 1000000000000000000 618968759 407910218 322048417 580810179 1000000000000000000 620795852 356171137 10811359 292133914 1000000000000000000 769790629 20604261 760015540 292841275 1000000000000000000 33689155 26583799 11620267 17997851 1000000000000000000 797307717 399509689 273384192 606300418 1000000000000000000 715906492 326648827 197148379 70508246 1000000000000000000 42023948 9469693 9720256 27980735 1000000000000000000 681688523 405031186 205333316 119465802 1000000000000000000 486058635 311164016 152746196 48784954 1000000000000000000 355540369 123027591 227718302 72243378 1000000000000000000 312976366 14465261 286737934 166964315 1000000000000000000 554601601 418010435 177889789 151744121 1000000000000000000 196158140 32803768 123723533 154530222 1000000000000000000 38430914 11481600 31422778 5325638 1000000000000000000 713077794 322863821 665711861 568766914 1000000000000000000 973321265 893384719 446925927 622930626 1000000000000000000 398110025 56343352 384661659 333654635 1000000000000000000 962096117 1619456 358413382 175478862 1000000000000000000 735992362 653778201 347477029 297920567 1000000000000000000 565501399 313068426 395759320 296048910 1000000000000000000 695314350 490467611 592390857 583686358 1000000000000000000 652589417 270448257 315955297 111916809 1000000000000000000 214268015 26413541 125525582 42632513 1000000000000000000 660288039 46103728 180329598 511520789 1000000000000000000 616769043 320286315 223329296 473175940 1000000000000000000 560682768 462824538 107059387 344982408 1000000000000000000 979069852 474888917 871618050 705882034 1000000000000000000 367421699 327157405 91260153 312877084 1000000000000000000 104626799 81143626 22478345 7940153 1000000000000000000 880714672 9177601 548637961 786667039 1000000000000000000 60973939 40950634 35217625 30445428 1000000000000000000 978755444 68843918 32114454 225777216 1000000000000000000 627073867 600500220 557114808 501998212 1000000000000000000 591342103 590408879 185147246 443753002 1000000000000000000 201729700 96877261 38475748 46978296 1000000000000000000 941382723 763426143 685678663 160840962 1000000000000000000 686849476 472856631 601398454 579010539 1000000000000000000 546515551 311750296 158790821 540350134 1000000000000000000 266821191 77636879 222196263 2593572 1000000000000000000 431367467 266645304 163450843 298694346 1000000000000000000 972711247 754016960 82855257 707931311 1000000000000000000 223064214 96793237 47807456 38410540 1000000000000000000 910175229 241373180 108159425 704173425 1000000000000000000 59719684 46561572 33624606 5260575 1000000000000000000 289853152 220984043 137763502 18193965 1000000000000000000 511487581 314684086 398447765 482495631 1000000000000000000 819425592 195330771 628613870 603743210 1000000000000000000 145203108 144682741 83764301 51474978 1000000000000000000 496187872 50268342 490851908 199956830 1000000000000000000 267847877 43437887 103276804 54795628 1000000000000000000 841910935 830778098 470676960 58496517 1000000000000000000 297555517 226097757 204252397 212710671 1000000000000000000 219283714 182586863 208444598 155637091 1000000000000000000 875098654 305056558 119069404 604455664 1000000000000000000 330855718 170926792 196511963 285194734 1000000000000000000 358373048 17956514 79416706 91785596 1000000000000000000 913628814 118160357 688367214 519968194 1000000000000000000 481417026 436759692 212679612 101482814 1000000000000000000 630936562 280511086 446451156 262112067 1000000000000000000 223015658 69223319 53501155 35845649 1000000000000000000 737202177 64570071 679476047 58780823 1000000000000000000 342266018 329196333 32739473 203302478 1000000000000000000 595033022 64415036 10420434 433198774 1000000000000000000 968782228 171198050 434743065 763617397 1000000000000000000 458325920 296135684 219671929 396838662 1000000000000000000 755363318 136920177 87064607 234613481 1000000000000000000 275612038 49576426 211442555 18042987 1000000000000000000 204519091 15251741 72636002 101010407 1000000000000000000 214527230 145047152 112303334 75214381 1000000000000000000 989164091 827783128 86380529 581782199 1000000000000000000 912965226 675905899 272572633 593469211 1000000000000000000 498004016 438559381 326725848 195934182 1000000000000000000 637846460 508666384 356572482 301218549 1000000000000000000 369976617 129776009 276147628 86371832 1000000000000000000 634918097 567919502 367126777 544823604 1000000000000000000 912845525 800874417 98246708 289121348 1000000000000000000 736382946 23297636 347517257 596920951 1000000000000000000 986931498 527688751 192391927 5566334 1000000000000000000 771932913 622622731 224225839 689514672 1000000000000000000 867797975 86590719 172122197 339512747 1000000000000000000 556599725 58925845 92211549 164611693 1000000000000000000 834404882 469198082 132074397 8756531 1000000000000000000 571092043 429985228 325520951 227117027 1000000000000000000 695526564 524736127 540083939 224109955 1000000000000000000 585719874 501748171 441418874 483463045 1000000000000000000 163297189 18706298 124005248 74241488 1000000000000000000 48936450 32228883 35793575 4458907 1000000000000000000 628689469 67632724 366769015 164178586 1000000000000000000 288894777 102672191 124107828 37125847 1000000000000000000 979680584 675056354 905367134 479310844 1000000000000000000 139985328 73050548 116629970 24278293 1000000000000000000 525189520 274735055 286829438 23941078 1000000000000000000 909925497 453297740 704427615 520559231 1000000000000000000 954042652 132929382 139027165 197248516 1000000000000000000 106636350 29631046 38557357 106623732 1000000000000000000 117992967 111734966 105284333 104687589 1000000000000000000 802377381 607609128 756516214 743682530 1000000000000000000 87159521 51540353 17787109 84141665 1000000000000000000 713634187 145250298 600457160 115286650 1000000000000000000 523555919 380824132 181369199 173559095 1000000000000000000 818692407 756059536 144417215 70274210 1000000000000000000 463777040 203956807 205623663 228380387 1000000000000000000 580046421 419354634 291448288 527170936 1000000000000000000 910197459 710108468 734631846 24193570 1000000000000000000 25184724 17433060 13571212 5917617 1000000000000000000 974858845 98362333 127399219 900059712 1000000000000000000 370551555 310054515 8132040 96693792 1000000000000000000 506408293 440559405 285298612 465931188 1000000000000000000 760871842 338559369 512890726 271525136 1000000000000000000 347641912 81127316 117425255 308441878 1000000000000000000 774129811 640983650 713716272 444716799 1000000000000000000 618759730 270856457 225525113 504261195 1000000000000000000 305481580 112138572 73328859 160068232 1000000000000000000 542649668 295300763 120958023 295019346 1000000000000000000 19036693 12621633 9112393 12453710 1000000000000000000 412555708 278860948 241084918 234616205 1000000000000000000 170115842 21940381 129466626 74298669 1000000000000000000 15744312 8746571 13879072 12744697 1000000000000000000 480754015 110017811 89239703 223524372 1000000000000000000 943112742 621660569 520013376 446257697 1000000000000000000 140009110 95426600 133599699 76646917 1000000000000000000 72973518 66754932 54114493 38659159 1000000000000000000 580105397 213622397 342670481 429249492 1000000000000000000 496817890 369523824 267286508 66305447 1000000000000000000 6416881 2191403 1447587 3436056 1000000000000000000 946059393 821245684 183677216 746793521 1000000000000000000 576221253 300495480 78137182 476679976 1000000000000000000 984686670 281656065 257238919 601461832 1000000000000000000 116847916 107824939 51028828 5348648 1000000000000000000 479261285 223000199 84248138 181191117 1000000000000000000 384634455 6583075 124519456 303527051 1000000000000000000 314416115 194464815 216745318 312886430 1000000000000000000 676652193 242675400 399031681 530982541 1000000000000000000 615663343 379590697 259051855 437404579 1000000000000000000 564388663 412711821 552247318 162356509 1000000000000000000 525919841 166452405 302534237 225771795 1000000000000000000 781675420 301300733 19145959 348387389 1000000000000000000 73095804 28459885 62324340 32888965 1000000000000000000 306703847 18688343 227161915 290421053 1000000000000000000 404611602 145325572 226556992 73244330 1000000000000000000 932353447 555392 53913237 72913149 1000000000000000000 980867446 578813922 849347295 808660943 1000000000000000000 61541588 38841098 32174761 40008599 1000000000000000000 491639729 209169544 15045824 467239936 1000000000000000000 165477157 11254753 29585165 27259571 1000000000000000000 595072342 218466786 94023938 184180326 1000000000000000000 896035779 574375472 278399091 163416165 1000000000000000000 534919813 158631298 152737516 409568993 1000000000000000000 755741838 136797839 186258472 627040524 1000000000000000000 364812392 192893931 95367801 261571786 1000000000000000000 912563250 644426387 7268897 646768739 1000000000000000000 37268957 29194632 32836877 23262560 1000000000000000000 132329026 129890300 129408654 54490569 1000000000000000000 99500299 34703251 61484820 17223973 1000000000000000000 602122485 419694303 439791109 189589372 1000000000000000000 857778993 760861964 615585379 602941475 1000000000000000000 614795145 550357658 505490080 354263772 1000000000000000000 866142863 253007598 287994760 578748999 1000000000000000000 890186476 601929656 737627711 351661418 1000000000000000000 164060987 43145156 24516057 13661670 1000000000000000000 714601634 352737934 250759946 8445275 1000000000000000000 935675698 370632002 474821968 808002689 1000000000000000000 470585356 148503780 440791712 125370814 1000000000000000000 42107385 8586716 7974181 1001575 1000000000000000000 974361326 178734688 393455980 110465469 1000000000000000000 507059907 146307964 394694582 178571098 1000000000000000000 579160819 491567121 303225812 359020783 1000000000000000000 833320630 536376959 21960238 541537765 1000000000000000000 496953797 115859912 251588706 218192140 1000000000000000000 391450943 8530504 233063439 14695753 1000000000000000000 599939955 61813255 505407558 36797502 1000000000000000000 154434931 15146247 73119698 112673256 1000000000000000000 796604876 533437967 465204155 578449111 1000000000000000000 815176352 628052277 221457354 134094683 1000000000000000000 73063272 68802660 32895951 28556137 1000000000000000000 647149834 532390954 25781637 612592714 1000000000000000000 390162128 87423827 309196762 316196090 1000000000000000000 667818938 252296263 543821132 513715915 1000000000000000000 384251128 96531315 335053841 167688832 1000000000000000000 582031437 127124417 201398513 140972595 1000000000000000000 995105043 508275422 626444376 479272051 1000000000000000000 158126748 119104778 27581873 57705815 1000000000000000000 136547572 125875844 71039749 74598490 1000000000000000000 666961895 550920581 4838578 564450147 1000000000000000000 529342302 342460643 336779102 419688505 1000000000000000000 58582081 47547083 7247062 37670124 1000000000000000000 926259390 219806105 385402307 658996227 1000000000000000000 469463642 384073126 363227449 84567783 1000000000000000000 794824247 53080725 210808573 163644794 1000000000000000000 989996883 74170163 849024526 653655384 1000000000000000000 125662738 93516692 80397740 26673605 1000000000000000000 192440228 47815193 191695137 151858903 1000000000000000000 654598367 212446927 628373439 439589657 1000000000000000000 692933828 360647955 492388196 601330654 1000000000000000000 710166570 541875270 388235759 430655012 1000000000000000000 361939182 110417958 9306 53777020 1000000000000000000 769452519 76792411 41456690 36724807 1000000000000000000 918048278 241394332 18768289 428390355 1000000000000000000 715724484 640403879 560881448 320749496 1000000000000000000 716283156 24710832 511915280 39430212 1000000000000000000 57129989 53774342 11491740 29194165 1000000000000000000 302621287 249920136 44806570 184523258 1000000000000000000 519860567 31581299 135040679 146388681 1000000000000000000 529206574 322228293 441026123 280539534 1000000000000000000 368607370 188875600 68441470 307938298 1000000000000000000 324703868 204784259 27480546 36610771 1000000000000000000 947667594 592981744 67191415 293228919 1000000000000000000 336735906 156873906 164370922 16222095 1000000000000000000 864848786 838089725 141429806 291293962 1000000000000000000 463675768 307891482 80378194 178940634 1000000000000000000 985667152 494996503 127880570 860444461 1000000000000000000 367767241 233466719 256851609 337808950 1000000000000000000 202259543 19075365 33266043 134648099 1000000000000000000 241765538 188624364 6586934 115470452 1000000000000000000 823934121 517760359 585122403 646117540 1000000000000000000 322335126 198861252 50180744 204666194 1000000000000000000 981797210 904082437 701737357 585882435 1000000000000000000 565211715 7844509 22590571 481296908 1000000000000000000 259740778 122636833 55712307 190125872 1000000000000000000 518891793 448442352 137925518 230740719 1000000000000000000 888914688 563890551 337209670 499165408 1000000000000000000 30482542 25225976 10104723 17504325 1000000000000000000 367463510 234614322 331256248 140845009 1000000000000000000 822916543 625857503 725025148 682670368 1000000000000000000 698994045 22454576 582372566 92261390 1000000000000000000 62093009 16863819 54067966 33710744 1000000000000000000 348437941 286260587 274148287 170520949 1000000000000000000 236322814 85917456 106353536 9058701 1000000000000000000 815614616 727989754 306754819 392062637 1000000000000000000 733046545 437236770 592686809 598244043 1000000000000000000 818451141 356783112 174634182 106300825 1000000000000000000 929261114 320619189 128240492 427476724 1000000000000000000 175901893 169067247 86916410 98792685 1000000000000000000 220224062 202794231 196002330 67875936 1000000000000000000 882740968 779699619 748955747 572607282 1000000000000000000 677471970 247163560 596405813 416365471 1000000000000000000 399692735 51319748 246346486 244545142 1000000000000000000 13118110 3621668 469346 5280253 1000000000000000000 658829225 549166747 221333965 477201623 1000000000000000000 150398118 119182564 18857324 45316085 1000000000000000000 153733036 40373098 56736053 51889973 1000000000000000000 670871809 276450446 390889538 403275209 1000000000000000000 420369507 255447217 291339074 166733777 1000000000000000000 867745776 252874537 380795288 661399249 1000000000000000000 85659881 54220418 79020210 5831780 1000000000000000000 504880725 64089901 156791679 11117401 1000000000000000000 368698069 101401867 166354642 123635169 1000000000000000000 628808012 304749942 543800822 274796855 1000000000000000000 582276882 32889230 48065211 359549791 1000000000000000000 149268425 79946341 120824279 77551914 1000000000000000000 554810233 322409509 87605565 515432552 1000000000000000000 842135369 191501231 756662106 307526506 1000000000000000000 613648127 601543085 10124487 112560728 1000000000000000000 428338127 203212940 260577649 350156947 1000000000000000000 739085897 433675277 523896011 223570663 1000000000000000000 316069858 290427460 266045896 217588646 1000000000000000000 566910390 414089206 551121185 177945029 1000000000000000000 448062962 124717815 174852171 258856995 1000000000000000000 529280759 163125797 439289559 224832524 1000000000000000000 145641513 33252520 135857017 74438883 1000000000000000000 447494502 70237580 56575177 417127628 1000000000000000000 18957195 16525082 18084421 16959868 1000000000000000000 285526839 15227664 266243693 72548054 1000000000000000000 893835869 99218557 475694049 790419030 1000000000000000000 134836106 17443654 98918859 68581622 1000000000000000000 986990623 610067491 635090486 975637674 1000000000000000000 448219687 28720809 232691652 132980019 1000000000000000000 15322980 12869867 11763828 11935826 1000000000000000000 442314452 388813415 6991338 144679347 1000000000000000000 966604427 776869677 563335337 218012156 1000000000000000000 32148880 7339706 6175254 20860262 1000000000000000000 612574930 411351786 497917493 211456982 1000000000000000000 157780098 37918371 131108063 2048208 1000000000000000000 570637429 389570235 45583480 420520648 1000000000000000000 175282077 130896407 170076090 136288910 1000000000000000000 135230250 65278105 31801040 97653063 1000000000000000000 273324557 93308240 47936221 119663056 1000000000000000000 25797048 15877105 2899980 9222519 1000000000000000000 688367272 451606786 54402187 566133834 1000000000000000000 932762946 161178157 737624000 602723769 1000000000000000000 810624940 211309256 719484102 223686573 1000000000000000000 112598839 90048197 15660100 10218796 1000000000000000000 496943517 98160161 145173697 168049295 1000000000000000000 499174098 2773894 307913903 67725106 1000000000000000000 438841908 27894624 168152888 348907589 1000000000000000000 545425084 191273153 293789175 291069149 1000000000000000000 385086511 287946264 353753806 110318461 1000000000000000000 186198175 102959124 132185336 78299294 1000000000000000000 368073806 8749258 302500076 130492018 1000000000000000000 994114767 179393770 517381691 611529981 1000000000000000000 777661640 106895826 195207547 68484471 1000000000000000000 369840988 44352395 45491631 83820047 1000000000000000000 576449732 17029906 154936167 231121616 1000000000000000000 892444896 2542420 12079012 252796187 1000000000000000000 912656475 75835268 1221497 17992194 1000000000000000000 450896141 65902630 326778554 164717630 1000000000000000000 398578023 97818632 117083523 230368338 1000000000000000000 275702461 132493061 217687220 252609208 1000000000000000000 305790405 136211538 108777089 301680116 1000000000000000000 93675673 87232070 46068185 74211660 1000000000000000000 453359025 408581579 211590966 4674080 1000000000000000000 673996204 75197195 184902105 107564456 1000000000000000000 612631108 135983824 305587521 131642580 1000000000000000000 139243475 42587033 43906569 109515472 1000000000000000000 571936902 257094955 542940263 161278055 1000000000000000000 785136698 202783155 574632407 698013586 1000000000000000000 273970781 220521964 171482476 245983945 1000000000000000000 307077901 58376177 266159097 105753645 1000000000000000000 377607134 52617768 120276286 78392346 1000000000000000000 197306858 77279213 97993598 98314804 1000000000000000000 345069762 336233971 37883550 122636597 1000000000000000000 807382725 727261260 368370940 487784282 1000000000000000000 588519866 397224884 363228203 421112261 1000000000000000000 966903256 104974181 580478492 819712346 1000000000000000000 762865620 499607383 347892523 227646286 1000000000000000000 715073779 605928900 79328380 52423231 1000000000000000000 347156119 17270048 104624360 291350638 1000000000000000000 909368315 371420340 668741384 474600368 1000000000000000000 525655838 278213797 355152249 520429657 1000000000000000000 146743222 11354288 42572086 103829475 1000000000000000000 247324345 25488612 147667790 246961990 1000000000000000000 490356252 175931663 379340033 233559241 1000000000000000000 968631656 115832349 609017426 678205297 1000000000000000000 140477764 3616629 62927952 22315295 1000000000000000000 888041853 220120155 66772985 552419285 1000000000000000000 988823628 593727202 881224566 796214422 1000000000000000000 72933005 67461157 28792570 54916798 1000000000000000000 559721327 35876729 288869735 522057225 1000000000000000000 77789591 44196437 56161070 9147731 1000000000000000000 989059861 370865623 586447966 420943668 1000000000000000000 759703855 643540223 90940558 669057132 1000000000000000000 815089770 602538720 656028173 330777749 1000000000000000000 624473518 244558203 582077294 55842488 1000000000000000000 820152148 710400433 455294185 554428332 1000000000000000000 387341115 326651708 343551831 216527704 1000000000000000000 799228623 534128255 260440685 282835227 1000000000000000000 312821601 36719703 143296904 115556562 1000000000000000000 763978639 361750697 210715681 33439159 1000000000000000000 524463886 104126578 14439255 104101766 1000000000000000000 380971184 277368978 299086986 215187211 1000000000000000000 557309977 62905919 99786802 446202958 1000000000000000000 781244483 238620854 143585503 120569030 1000000000000000000 858125149 397070392 240790882 508570897 1000000000000000000 624961030 16305277 536675006 526203536 1000000000000000000 634966035 116034362 216209209 483320124 1000000000000000000 56373127 29589471 14822279 10682359 1000000000000000000 16303400 3832073 9733264 9336895 1000000000000000000 446347397 104757841 51907943 119094211 1000000000000000000 13962799 6157375 7917754 2438208 1000000000000000000 5866124 4763994 719358 4754785 1000000000000000000 761782275 717516522 222012636 503727691 1000000000000000000 768176160 35906268 659733163 335598714 1000000000000000000 841828086 554248400 639210348 444069042 1000000000000000000 170289293 48558776 113218995 77919029 1000000000000000000 635670388 304832304 369945057 480095312 1000000000000000000 170130045 94571333 28695425 41880007 1000000000000000000 980707991 977862336 272239354 406655839 1000000000000000000 518333050 344362489 34866521 235348049 1000000000000000000 163853082 104917773 70943501 153088519 1000000000000000000 266980637 107969406 134095794 34816443 1000000000000000000 110720519 17728070 68523926 19670948 1000000000000000000 269878646 96818499 6568633 71657163 1000000000000000000 721409107 377762483 320556058 607380118 1000000000000000000 783310308 575646833 592017651 697435548 1000000000000000000 256770722 46165182 233157201 118175634 1000000000000000000 939594648 529991576 236880429 47945168 1000000000000000000 804730879 464911581 644925976 565589260 1000000000000000000 576467409 106808250 436208274 268315153 1000000000000000000 91034052 86159892 75316468 40945441 1000000000000000000 629623523 429804894 81317727 304139941 1000000000000000000 663872976 264279042 146186458 295998326 1000000000000000000 926399837 545584423 759361371 543956097 1000000000000000000 480734011 136953586 160308118 199848933 1000000000000000000 480796712 43554728 136946270 8178658 1000000000000000000 920864081 199183614 211308109 525163114 1000000000000000000 146837029 10962139 43812810 92739158 1000000000000000000 857032987 375390787 821191327 153118876 1000000000000000000 657710377 222676852 366060200 491882773 1000000000000000000 617265641 154914890 237600470 216846449 1000000000000000000 675922422 262351864 33660182 457505222 1000000000000000000 471181023 33053977 300483108 46471307 1000000000000000000 15791132 3294855 13266896 5784820 1000000000000000000 613792387 575589736 445629976 366043481 1000000000000000000 488194328 347296127 63803598 396987980 1000000000000000000 17110710 16304700 14558045 7834563 1000000000000000000 107498472 26387825 102843090 92711278 1000000000000000000 408572181 150841908 40502202 347550616 1000000000000000000 851593049 613117538 628573246 824835008 1000000000000000000 148941411 77872427 49432033 108147815 1000000000000000000 246812373 215727962 184704878 174892769 1000000000000000000 214875774 18931362 207884036 102596485 1000000000000000000 798257692 658868636 310275252 712370710 1000000000000000000 792619142 165266900 379748752 341703084 1000000000000000000 690088762 212244729 512067830 53582262 1000000000000000000 63342591 39357614 8086757 19290497 1000000000000000000 658758678 167017316 326737346 181072627 1000000000000000000 235665651 212818593 200838846 67410678 1000000000000000000 973741486 870851102 780788035 130433590 1000000000000000000 206576044 36985611 91776156 29438670 1000000000000000000 402711907 162011958 387703284 98634651 1000000000000000000 875795582 391909021 38621103 506347322 1000000000000000000 765615464 387005372 333881419 249595206 1000000000000000000 586887137 433443140 218121525 393830947 1000000000000000000 535923896 472227654 208583165 497992843 1000000000000000000 288728471 222676543 8177004 115119504 1000000000000000000 253094208 43281183 33051383 65082147 1000000000000000000 359430623 233934806 199443942 148455167 1000000000000000000 734265444 38750136 374587840 170746285 1000000000000000000 724672598 678578246 699752947 115965541 1000000000000000000 801960235 283643951 553910810 275482437 1000000000000000000 912762997 640043817 554398139 781710716 1000000000000000000 491288661 293484266 447281388 443493610 1000000000000000000 267819980 164381764 195371212 223381632 1000000000000000000 216760955 211211716 208870689 73666169 1000000000000000000 640696361 8248057 36881607 17296839 1000000000000000000 35163391 11206737 29421334 17232804 1000000000000000000 324269877 307689914 161927782 223798174 1000000000000000000 981207505 727476375 808762161 192957469 1000000000000000000 22575534 13476291 6690113 3944822 1000000000000000000 980535819 226925738 738117670 470153816 1000000000000000000 10176357 8911813 8285374 2315320 1000000000000000000 284830292 8007158 35064474 229470788 1000000000000000000 971519798 475682867 434698316 96777340 1000000000000000000 968115934 965200565 434547768 275625209 1000000000000000000 457191633 336935029 381796441 183723440 1000000000000000000 747442266 396264909 506337473 824856 1000000000000000000 614680732 75695793 75278727 549250802 1000000000000000000 61058639 49039378 35063632 22487092 1000000000000000000 874579833 281154909 475105829 216707164 1000000000000000000 465853808 45825433 297069736 274016540 1000000000000000000 612858472 262004269 569363538 413947424 1000000000000000000 769335315 511859891 491453860 22966100 1000000000000000000 20243826 563350 16171719 13286695 1000000000000000000 540941246 459674283 1327390 164552227 1000000000000000000 351722334 80462240 191322812 79554479 1000000000000000000 391534801 267023655 255433594 247402208 1000000000000000000 963558698 463185502 109559971 600754530 1000000000000000000 9996847 5060265 5136946 4468268 1000000000000000000 957160427 257080247 432433513 871299185 1000000000000000000 235020471 233519865 123544819 194171695 1000000000000000000 600934605 417219702 384487376 376972651 1000000000000000000 808169445 595088428 288398634 264593248 1000000000000000000 162907497 11734806 110189381 77585397 1000000000000000000 711383103 611137358 500280467 444558096 1000000000000000000 51418837 16667328 15750146 43208767 1000000000000000000 28583174 7906382 25069728 9772792 1000000000000000000 524285247 306561473 362249552 118364941 1000000000000000000 391167093 261569018 254485614 103240436 1000000000000000000 294942534 29770885 280327636 96883 1000000000000000000 738412331 111802757 13187847 399121579 1000000000000000000 55464019 35339295 42769583 12222665 1000000000000000000 50468524 29703150 3944322 26569675 1000000000000000000 53525045 50896981 3657420 18712711 1000000000000000000 749818063 2335466 581628342 280369026 1000000000000000000 281855423 206709797 207894515 141736865 1000000000000000000 563410514 177822648 151848334 183042879 1000000000000000000 228781678 191173193 65133849 168841290 1000000000000000000 700722881 119260854 467672670 547215025 1000000000000000000 558028603 161335270 474291480 167844700 1000000000000000000 896706499 880992443 26431501 219769207 1000000000000000000 518252670 343453605 15909173 275997004 1000000000000000000 444236009 224272734 141241281 395119972 1000000000000000000 448670438 384160065 389266294 278481575 1000000000000000000 471016910 110739730 50910563 385618555 1000000000000000000 550450645 432905302 193557390 357885622 1000000000000000000 56260627 8677225 11693535 6183812 1000000000000000000 271646017 42647303 27570149 200877938 1000000000000000000 735244531 430283326 366438807 705324729 1000000000000000000 135660187 22150569 11956351 8270570 1000000000000000000 175325436 132333186 142151096 72543490 1000000000000000000 786498276 715234281 291808779 72501891 1000000000000000000 96791855 8841836 31825284 42865784 1000000000000000000 97457650 84853908 8384334 6755860 1000000000000000000 177417566 21592541 138077691 145329456 1000000000000000000 439191196 332370032 112352572 233588189 1000000000000000000 283278573 52527301 120949825 212382441 1000000000000000000 968982758 674301998 380559305 174357193 1000000000000000000 442646862 223608376 125732255 136627502 1000000000000000000 533770710 414666334 337259289 308284746 1000000000000000000 659285050 71773319 120725507 399385374 1000000000000000000 550453635 295217882 475612351 444667753 1000000000000000000 341813420 289212702 296041583 158945540 1000000000000000000 919071554 324440298 619844051 304384799 1000000000000000000 940151043 881707706 433500427 410893493 1000000000000000000 468403193 346977394 143002352 62783967 1000000000000000000 394656363 116663032 205781107 57434694 1000000000000000000 330948033 96869964 40502113 316362100 1000000000000000000 231370205 156628793 136251187 221880063 1000000000000000000 975223497 209387817 808159589 292222505 1000000000000000000 500092879 425139360 410227781 37568902 1000000000000000000 212600473 157469719 10459618 83386860 1000000000000000000 54974437 49591547 31196003 561336 1000000000000000000 685660385 547885747 575789921 262763580 1000000000000000000 359166647 223039508 309794888 9319138 1000000000000000000 498769643 128265522 231190252 393569105 1000000000000000000 193974638 28580610 116574614 97283951 1000000000000000000 655337402 232729087 263083786 40213463 1000000000000000000 885889290 719782137 491816324 68211542 1000000000000000000 57896078 14891971 19027983 37409296 1000000000000000000 615315916 134161843 357026184 318872789 1000000000000000000 769345146 477133296 571198649 269013756 1000000000000000000 778088333 277870043 361875295 684005573 1000000000000000000 93899982 85655758 54486276 85590978 1000000000000000000 451282132 194530505 191033230 373373315 1000000000000000000 250091114 188137103 193666206 22470560 1000000000000000000 427391865 243275679 123077689 223821575 1000000000000000000 763157773 421861402 544724514 116712658 1000000000000000000 593174 548257 351382 292160 1000000000000000000 270294258 69690399 162055000 267379376 1000000000000000000 826974621 300364277 129324588 7236773 1000000000000000000 193867489 166908019 108394228 103098528 1000000000000000000 467708766 114496526 105769084 133762302 1000000000000000000 264977901 155751386 119919366 15111486 1000000000000000000 377374500 160301857 26512227 113773037 1000000000000000000 176121186 11819565 115854405 110354657 1000000000000000000 755595247 510544435 752937219 475375977 1000000000000000000 352854738 30073259 324907584 175520009 1000000000000000000 135384136 43229527 6271943 3172929 1000000000000000000 351840203 31875297 121198762 189228688 1000000000000000000 784761444 193151387 124923960 91569044 1000000000000000000 728103986 629883419 724493784 198481554 1000000000000000000 542452769 263851257 496237066 23010606 1000000000000000000 444285208 129895272 435443494 439783772 1000000000000000000 6974475 3312159 3593426 5172364 1000000000000000000 438883820 387909411 300672763 44509183 1000000000000000000 772852375 85762623 154502506 513927778 1000000000000000000 603482537 108705143 544698832 441960478 1000000000000000000 535291241 264850427 38697223 513872029 1000000000000000000 552250726 241567167 347253190 244420168 1000000000000000000 142569943 123236232 18803762 12526894 1000000000000000000 917154832 750964162 825056238 294474740 1000000000000000000 886262637 529283033 232803666 9566103 1000000000000000000 592194041 343306646 423367856 566313116 1000000000000000000 179385628 33046313 141698486 152284768 1000000000000000000 438503982 211616797 175525616 289575999 1000000000000000000 717517977 630533767 672893135 459637064 1000000000000000000 204601690 198358387 118400215 146023174 1000000000000000000 257812425 84181472 132489201 107995419 1000000000000000000 655139520 578688351 623957096 123735675 1000000000000000000 917803056 782654244 166271712 321587547 1000000000000000000 579306998 72267782 143897153 4221770 1000000000000000000 296792383 78820707 26830891 227748515 1000000000000000000 935251736 745114790 573858764 861435100 1000000000000000000 131986719 125910631 76553019 26065854 1000000000000000000 430984251 55451517 282287657 315077352 1000000000000000000 566109301 442634171 430910408 229216687 1000000000000000000 993190104 252812455 633558794 278856914 1000000000000000000 241832405 216670999 188949874 227725126 1000000000000000000 67340856 45148337 4491480 29318672 1000000000000000000 486539501 39685850 466147298 120133483 1000000000000000000 643175819 396633834 299545356 553826376 1000000000000000000 137117234 122621800 2168340 77394845 1000000000000000000 479320016 53072670 350866505 349585094 1000000000000000000 820309639 786145161 197177470 293024908 1000000000000000000 1811183 1025635 1675865 462587 1000000000000000000 888053707 338931075 867941014 309745477 1000000000000000000 346158183 183368095 81825269 199874815 1000000000000000000 788819472 778601515 500657951 78531029 1000000000000000000 943474869 689935342 916974570 378419437 1000000000000000000 905440276 514582146 444927060 300926337 1000000000000000000 602060617 85507969 465917840 439988704 1000000000000000000 2635816 1302717 1463687 1366384 1000000000000000000 918714799 770636557 376150168 257718955 1000000000000000000 601290507 6919161 434200269 135838013 1000000000000000000 353072640 324518621 101627721 220818523 1000000000000000000 658096374 107217147 21494404 132800954 1000000000000000000 861803795 341517568 367173606 537386390 1000000000000000000 679998058 664129322 438101460 278327045 1000000000000000000 904081967 894013757 417931802 416010922 1000000000000000000 126989986 67228039 111949184 118306103 1000000000000000000 271226917 65542850 242738899 220427104 1000000000000000000 609961486 436447258 491125949 168207172 1000000000000000000 784997078 607864880 119638800 440201381 1000000000000000000 127140162 104686810 5771493 35585903 1000000000000000000 324757213 10974105 126771950 219395690 1000000000000000000 65089761 28752412 63206283 43012801 1000000000000000000 371022551 87683802 281152169 196035993 1000000000000000000 211097196 155442263 147984175 137347590 1000000000000000000 646547020 212587146 436916429 410662556 1000000000000000000 76178478 60870875 49604550 72169427 1000000000000000000 498706401 68843040 69558138 190529255 1000000000000000000 108194732 24253134 44719108 52132508 1000000000000000000 57413327 47555172 3609064 29488209 1000000000000000000 265786888 82887457 218269104 168715045 1000000000000000000 987832487 198319829 166629471 924220143 1000000000000000000 712385077 245655315 109826875 542416514 1000000000000000000 651170505 27369234 512234847 623517174 1000000000000000000 968383439 507456681 558211839 169886757 1000000000000000000 675119009 241812725 522202337 316192032 1000000000000000000 272980651 220688538 146071108 172967326 1000000000000000000 299470765 54207504 80810302 171637484 1000000000000000000 608135982 20488331 83930731 156496387 1000000000000000000 254586080 203946549 90304045 181629916 1000000000000000000 567339068 63882846 458567441 280023786 1000000000000000000 434066968 361832039 62078276 388736449 1000000000000000000 47545703 23263290 13624880 22016425 1000000000000000000 466640975 244623934 395393983 135797739 1000000000000000000 373928349 358881124 32204799 115469730 1000000000000000000 169238576 81885085 78963753 166785722 1000000000000000000 729085975 432356693 379914067 419826849 1000000000000000000 733459390 223561460 347950368 632340828 1000000000000000000 89580859 43761913 11643471 40390194 1000000000000000000 561266359 353687689 326027207 369549349 1000000000000000000 852456038 119023581 19854681 282817297 1000000000000000000 187461997 67061823 28742948 176542724 1000000000000000000 86491610 62675780 27357116 69513447 1000000000000000000 304066218 132345550 122810293 209190213 1000000000000000000 11854682 6280180 8930605 4462948 1000000000000000000 15066795 5973821 8501763 5742960 1000000000000000000 160532961 156222877 139251417 28115393 1000000000000000000 328906206 212439071 264553646 267658494 1000000000000000000 321199135 122371235 59067345 300608608 1000000000000000000 243229117 2894744 9785393 69266185 1000000000000000000 981578089 828494608 897540356 162326210 1000000000000000000 983201615 327242850 172194998 84482016 1000000000000000000 327034141 167333165 91287174 167446171 1000000000000000000 508272517 481602274 339080938 494012306 1000000000000000000 308105347 243650499 51028487 137588591 1000000000000000000 312588599 207187280 214335247 202485135 1000000000000000000 574811325 246932773 23271703 573669100 1000000000000000000 199556205 93074198 1276290 58674330 1000000000000000000 235879601 39066792 64805028 160846919 1000000000000000000 230419905 60704963 95679984 94484462 1000000000000000000 188172923 71992447 55975628 122706596 1000000000000000000 1448141 1310176 938946 479478 1000000000000000000 181391587 29800403 32587033 132992956 1000000000000000000 462868967 165263602 206257357 275633373 1000000000000000000 968883592 714512572 524199978 668715784 1000000000000000000 995729232 455259009 707564690 436197158 1000000000000000000 939728537 2090670 461193789 547573698 1000000000000000000 82241449 58859910 52606241 322511 1000000000000000000 150028186 68405630 7653432 97304342 1000000000000000000 838037052 146265898 246458801 473947904 1000000000000000000 802536309 679817785 596363985 418820976 1000000000000000000 130188563 107323451 110088614 61486888 1000000000000000000 388267045 22564161 109362216 2867255 1000000000000000000 369445797 174846430 195980303 39384890 1000000000000000000 634247336 508739239 337273166 31207021 1000000000000000000 11542396 4238446 7830289 6698823 1000000000000000000 248179535 223340833 195713347 224339681 1000000000000000000 466876216 197697893 290553690 355510194 1000000000000000000 258989778 240988223 89981000 218032876 1000000000000000000 30082036 4793771 14603443 27727589 1000000000000000000 327235773 327155262 210130663 308168791 1000000000000000000 321849071 195037791 59878130 296933142 1000000000000000000 897287083 763753917 102001242 540353841 1000000000000000000 657971441 128763370 54598421 105372558 1000000000000000000 642660390 54624579 196922608 43413484 1000000000000000000 863139917 848104596 177787856 32271472 1000000000000000000 323504155 130274955 262419780 34615613 1000000000000000000 615210569 692022 355923094 43504237 1000000000000000000 145435733 109718800 30031893 37072220 1000000000000000000 453183734 217293414 133764019 307553082 1000000000000000000 155479147 77110486 127097878 63791850 1000000000000000000 912954458 192329044 746253107 197157516 1000000000000000000 378553647 376598460 251922961 157115872 1000000000000000000 874479841 29462951 644799922 618452103 1000000000000000000 174947927 160790642 122923791 94972146 1000000000000000000 775864021 107620869 612517943 257446088 1000000000000000000 91032230 82296840 8402119 81384392 1000000000000000000 922731555 500284405 14252908 490982549 1000000000000000000 903747005 340945764 325153971 394843064 1000000000000000000 8043322 2187163 1332079 5689864 1000000000000000000 612869266 284085588 151523388 306337273 1000000000000000000 136870450 103987315 115231779 99934930 1000000000000000000 339283972 39067299 10427984 315540290 1000000000000000000 984238872 652602390 875328991 108071345 1000000000000000000 262430493 22716113 246580954 134050486 1000000000000000000 311437173 152974174 255120185 31947113 1000000000000000000 975309268 664711683 618894748 783824388 1000000000000000000 804102222 777624796 273849181 369919751 1000000000000000000 870041566 771577921 723416425 126514633 1000000000000000000 238438846 117841126 161966670 199494953 1000000000000000000 776810770 418722014 449143136 713600648 1000000000000000000 107597456 12964058 105411374 38225627 1000000000000000000 884453862 242123382 592953759 121707931 1000000000000000000 824677624 763042640 123388936 811359175 1000000000000000000 815026865 420464317 452327362 670241753 1000000000000000000 228459155 8827233 185894141 86675444 1000000000000000000 906627402 818859663 270943102 468618721 1000000000000000000 841193857 332562325 98571065 812084263 1000000000000000000 691157248 488631137 46150357 569306278 1000000000000000000 84397781 64306152 48214463 54250189 1000000000000000000 22983043 10946104 15801553 12268218 1000000000000000000 42231043 37596698 33465071 20319427 1000000000000000000 834242291 174925599 232183532 559355828 1000000000000000000 141389086 68615830 48859509 4933414 1000000000000000000 98786671 23415984 29087176 79039990 1000000000000000000 658298321 465846519 566748862 356377687 1000000000000000000 393016172 216544217 338730516 264038534 1000000000000000000 947583832 445775037 730246207 851609894 1000000000000000000 451807886 255361417 181170797 365518986 1000000000000000000 997557701 107170647 19885615 781465854 1000000000000000000 538766833 505914159 55564627 514166322 1000000000000000000 619410735 35851013 544997879 380098690 1000000000000000000 79225300 52942273 76221226 65279089 1000000000000000000 604358027 562646893 457784938 328209808 1000000000000000000 850382936 319066181 76796923 158356974 1000000000000000000 79714255 77473977 70629464 27300838 1000000000000000000 722018693 165005260 256939570 226471144 1000000000000000000 645439156 465725736 74402493 140760929 1000000000000000000 360997329 120028174 74583893 2335252 1000000000000000000 174819781 49201639 116202673 132510699 1000000000000000000 287659842 236847421 170641312 110325400 1000000000000000000 859232244 700970244 581131229 613141456 1000000000000000000 197536913 156777827 12190459 102942343 1000000000000000000 167338522 80787201 128107675 82077993 1000000000000000000 914498890 819135414 305646042 908673361 1000000000000000000 713504110 373131768 38037130 70244014 1000000000000000000 720691278 697367210 195027597 532505274 1000000000000000000 612035119 461958723 115764819 588011179 1000000000000000000 388500009 363157111 90628718 150681031 1000000000000000000 642766492 316782272 107879358 434349347 1000000000000000000 735804258 622655915 17857208 606851397 1000000000000000000 483842143 234204521 398495569 239382682 1000000000000000000 403413291 357257523 309663562 294434001 1000000000000000000 157229801 100548016 92041907 67073623 1000000000000000000 463903318 32201658 133560138 387086260 1000000000000000000 73951239 63678975 9387053 10235808 1000000000000000000 589310706 405630164 468720607 35274987 1000000000000000000 671783360 518673187 510144340 495491513 1000000000000000000 882866525 722860710 360214208 876598424 1000000000000000000 716086981 519585121 252918485 569823288 1000000000000000000 938177308 250545137 70982732 286982778 1000000000000000000 811533529 778310177 497841025 283918214 1000000000000000000 547136814 252794934 30239606 250813468 1000000000000000000 671596659 640196625 147805998 456042354 1000000000000000000 719888653 79524767 96826836 501099481 1000000000000000000 988650634 957779895 511514511 643853702 1000000000000000000 96114615 90999368 63867939 89742141 1000000000000000000 479259004 122368041 57456123 211767943 1000000000000000000 491781447 469959864 107373162 477975753 1000000000000000000 811264826 257973529 690715900 95100404 1000000000000000000 530115702 11853938 395639803 197933768 1000000000000000000 52141432 31796363 10313706 48450863 1000000000000000000 344840710 178037723 326073161 330309802 1000000000000000000 663651419 52295342 421023078 278382590 1000000000000000000 549824583 331594666 491646375 171407937 1000000000000000000 239176236 153246963 50285979 75898980 1000000000000000000 663742316 190565502 211819080 252438887 1000000000000000000 429354552 164409568 403946333 107363150 1000000000000000000 372593164 221274758 337205362 359573732 1000000000000000000 533653946 120487713 292587749 519249291 1000000000000000000 753576900 64960709 245054160 357261189 1000000000000000000 747040752 585640436 621049972 592204307 1000000000000000000 805480902 120278057 316338578 283256763 1000000000000000000 239008263 14700495 50868637 116843827 1000000000000000000 760429677 4713204 551083242 76863283 1000000000000000000 670487883 403502417 102379108 560289061 1000000000000000000 205205649 48285766 151002713 1765723 1000000000000000000 178206809 141174591 51234962 123456381 1000000000000000000 669511717 516788649 540278645 134046356 1000000000000000000 10172327 3292912 922184 4100279 1000000000000000000 657885726 530605450 413457830 23516920 1000000000000000000 451846052 384902034 46156812 237603250 1000000000000000000 339130061 127121336 85292176 311253954 1000000000000000000 387335605 233695875 282955313 326878265 1000000000000000000 101969065 91790677 20889233 32561522 1000000000000000000 144192089 92756776 88219562 119448041 1000000000000000000 366090988 31207295 44858094 260651426 1000000000000000000 659603176 608357920 220078387 638635960 1000000000000000000 835744019 231193410 114382106 702790527 1000000000000000000 154371428 132459566 61067901 94078913 1000000000000000000 322883039 193097745 162480393 82105810 1000000000000000000 351504607 25412262 63280530 56267963 1000000000000000000 230936323 142446783 168770361 153240699 1000000000000000000 12457890 6639359 11445358 7775202 1000000000000000000 97910993 43876602 12375371 44329536 1000000000000000000 95105512 60902731 23865193 87033310 1000000000000000000 522543659 487696967 10966323 128284970 1000000000000000000 466920482 107343286 245874776 395323078 1000000000000000000 744479183 477095696 538608043 108092471 1000000000000000000 837917298 250896848 205091579 795252615 1000000000000000000 477086200 91205907 327994933 403663819 1000000000000000000 807445052 411226224 240120909 347845591 1000000000000000000 730973087 707040610 655288543 614510943 1000000000000000000 929674453 69243797 106563664 663248611 1000000000000000000 833632735 112658579 19701764 110245994 1000000000000000000 796871845 324022582 403638747 513684275 1000000000000000000 559640655 324749643 368001727 46965925 1000000000000000000 116763247 82939509 65321440 111565481 1000000000000000000 156900981 24274580 83625232 22528824 1000000000000000000 45241541 25044221 7465350 268264 1000000000000000000 599051328 418929186 195281143 302769450 1000000000000000000 966800318 315750574 567199427 35065979 1000000000000000000 343788032 63157209 176094038 5047078 1000000000000000000 172826399 49625845 87178291 123894571 1000000000000000000 486052132 364709873 132117367 185623090 1000000000000000000 847073653 291517276 118383692 108525422 1000000000000000000 745417676 4817193 605709891 649302854 1000000000000000000 370668251 334774266 43885012 346542731 1000000000000000000 21290005 2553374 3794400 14899326 1000000000000000000 411281298 196036914 155018534 153669310 1000000000000000000 245012536 42346803 233556113 236231601 1000000000000000000 735881517 650217354 72188033 332049235 1000000000000000000 168524078 917673 68098026 74949329 1000000000000000000 423313018 195045839 51472398 107193667 1000000000000000000 289149989 188928066 387292 84888942 1000000000000000000 532171904 298742023 140191679 322048754 1000000000000000000 483800441 186383304 367357997 379925515 1000000000000000000 757412151 256986346 271238077 181456094 1000000000000000000 939614016 417086337 74261533 684805867 1000000000000000000 418366088 283351269 62224841 35306668 1000000000000000000 896237187 323933539 688790383 329970942 1000000000000000000 694182790 431647326 350455251 360576637 1000000000000000000 475992818 237243355 70403667 138317276 1000000000000000000 289565666 85660619 36619610 221988020 1000000000000000000 408587197 223002782 233989469 374685858 1000000000000000000 457748267 75563993 134899252 77698163 1000000000000000000 638329806 103523835 335115750 112979665 1000000000000000000 229231048 46467488 171205381 96875114 1000000000000000000 737643791 408506637 209243106 606468154 1000000000000000000 140279571 70933228 43840047 51032629 1000000000000000000 525421740 244158915 86606273 312239663 1000000000000000000 751101455 673743693 292457352 122224009 1000000000000000000 843423257 805923316 835934951 364380726 1000000000000000000 513886042 46346705 365774246 82104848 1000000000000000000 809747420 241760434 808994497 234173177 1000000000000000000 746226822 507512861 112332896 67677507 1000000000000000000 34204480 2287882 22767683 4194776 1000000000000000000 978651663 1100664 49464809 217426760 1000000000000000000 76087300 6687197 24600396 44016843 1000000000000000000 600490352 398136515 176503936 16918518 1000000000000000000 193086991 48429069 131950475 91630605 1000000000000000000 69520103 24529485 52900673 56203431 1000000000000000000 336400059 50419945 114035459 332219034 1000000000000000000 841621130 530079646 806529310 630806997 1000000000000000000 795747571 447460811 116082568 96750817 1000000000000000000 991654626 739344864 507664931 93559111 1000000000000000000 143226601 141687800 77454568 11747109 1000000000000000000 681056223 387480066 461964038 286947996 1000000000000000000 167993387 130585218 117610933 141876611 1000000000000000000 404600709 19866438 65129695 101289013 1000000000000000000 580136335 196375886 13907745 536516001 1000000000000000000 439081856 61965135 221277848 225690895 1000000000000000000 519434906 506037449 358284188 301857397 1000000000000000000 960984350 305266372 98947979 199637121 1000000000000000000 975995731 458424364 338130861 203994079 1000000000000000000 884150210 750322196 653705959 574325149 1000000000000000000 951510925 542362399 350042908 10078372 1000000000000000000 230982662 90610279 63804802 139861469 1000000000000000000 900395184 443989965 572380883 508172386 1000000000000000000 449525926 396717500 229036459 226264489 1000000000000000000 70893560 37164722 50456677 53337599 1000000000000000000 541873241 375095587 222620811 369487405 1000000000000000000 279586789 207568710 113255096 78149160 1000000000000000000 970188928 206839173 824355285 316634571 1000000000000000000 152101178 75199613 114099237 11107077 1000000000000000000 882269669 601287794 590371933 19657575 1000000000000000000 849856803 830143858 163440274 843946795 1000000000000000000 432969204 243838304 429483239 59517887 1000000000000000000 915688045 295927144 215353536 599230012 1000000000000000000 845028623 523522714 16099764 41875257 1000000000000000000 163345908 91543756 4532749 161801388 1000000000000000000 40315180 29260530 37999675 30856237 1000000000000000000 422637679 185259308 268845285 298382251 1000000000000000000 196956849 51914354 147514454 176972298 1000000000000000000 249844937 73269818 144144635 76043862 1000000000000000000 822654299 341936909 543364578 286020849 1000000000000000000 366878802 328229011 75869537 196329223 1000000000000000000 714205944 273502488 102169940 62115164 1000000000000000000 115808969 39830118 71798670 93971049 1000000000000000000 940682372 597244567 84449275 248753114 1000000000000000000 733527337 499514491 301027811 55043318 1000000000000000000 517470149 315120817 160241899 280614257 1000000000000000000 906998283 216791267 728451654 593517620 1000000000000000000 478490735 286447083 174209136 172697637 1000000000000000000 417364746 387484367 232658970 237566361 1000000000000000000 99718118 67402556 18535923 83938240 1000000000000000000 217525061 122698203 91714249 88135310 1000000000000000000 537360921 483938930 479764344 368020561 1000000000000000000 45864672 36436308 35716068 37195035 1000000000000000000 206882068 33290234 95663783 187682479 1000000000000000000 792835154 637040403 431712261 598566696 1000000000000000000 351510023 161103256 131869324 238481921 1000000000000000000 585766743 250623880 13470711 336297689 1000000000000000000 309994224 295890986 150562407 211378412 1000000000000000000 495895721 359577551 237449793 4812791 1000000000000000000 211408274 99897661 86136153 47468503 1000000000000000000 9801721 5088502 274500 8225898 1000000000000000000 59822838 47953480 34530430 56211832 1000000000000000000 460471208 268692148 456344809 1593623 1000000000000000000 325584758 121243283 214253598 279784662 1000000000000000000 495739467 132931754 144923754 111556638 1000000000000000000 174957788 138420068 9533771 24211839 1000000000000000000 289307741 215845738 116966553 177238619 1000000000000000000 582597302 341418903 433716295 39172752 1000000000000000000 50208691 21086461 26950387 32611021 1000000000000000000 370374139 239233614 339432747 105918148 1000000000000000000 57795997 14366084 41040230 41745296 1000000000000000000 21294287 1684099 20482182 8102199 1000000000000000000 738739993 605291681 347538738 423142106 1000000000000000000 683338378 392936519 68209921 297211189 1000000000000000000 986023297 557601057 839299536 420819774 1000000000000000000 186796547 42104246 48368645 140933285 1000000000000000000 823911928 807844860 790400646 460564835 1000000000000000000 119472464 109598608 35766759 73775682 1000000000000000000 572711896 120236922 8471446 246177817 1000000000000000000 46970200 635353 16224250 46416359 1000000000000000000 700420967 370902955 79271447 390261456 1000000000000000000 133412141 111413533 103855324 17038587 1000000000000000000 195805809 71153623 112813579 110585502 1000000000000000000 321485083 81350500 249414481 171532082 1000000000000000000 947422521 737296411 68727005 708625850 1000000000000000000 446179853 67841815 282312660 405678291 1000000000000000000 900146006 589498403 160340610 648239084 1000000000000000000 199989645 178487823 141674301 139662642 1000000000000000000 894727337 876557381 293888804 799486020 1000000000000000000 607329309 435923276 142231804 520765266 1000000000000000000 303954502 174607867 132080116 53113114 1000000000000000000 347576598 41892777 117612755 160444475 1000000000000000000 83500122 40347117 35527603 38501339 1000000000000000000 624956193 623353516 89665259 135781347 1000000000000000000 193996799 93474339 101277552 99970541 1000000000000000000 711132445 556625381 396927269 434337036 1000000000000000000 240813535 224392621 121420489 48957769 1000000000000000000 562182005 234844142 312591214 518149359 1000000000000000000 833735207 832612209 781234189 237075701 1000000000000000000 150883360 30316233 121153366 35318211 1000000000000000000 486571339 398334047 156157011 332531994 1000000000000000000 276471884 248798236 161258702 128297259 1000000000000000000 960160517 57127935 627942287 542406373 1000000000000000000 983675666 580068029 88808912 546738909 1000000000000000000 89535151 19440225 76224281 27722942 1000000000000000000 642937674 620031054 578900728 260755457 1000000000000000000 729760118 118912629 250816660 385540799 1000000000000000000 509450401 249476315 444870863 126052819 1000000000000000000 336374878 16899679 5117763 201333219 1000000000000000000 2026846 134130 1623081 468377 1000000000000000000 130395643 53060300 9343772 32027179 1000000000000000000 451997825 386970351 1623003 121778193 1000000000000000000 899495772 762334480 473380469 161616435 1000000000000000000 837426978 64005954 737605031 696922691 1000000000000000000 678481977 36179934 266678310 43229503 1000000000000000000 747526440 438783682 607906627 607751088 1000000000000000000 327018550 125518359 244230628 30577620 1000000000000000000 698525554 101531431 294415444 20678063 1000000000000000000 925892095 753839975 371865578 121598488 1000000000000000000 23265141 21781231 345121 16005546 1000000000000000000 961882991 924472506 621890711 703842433 1000000000000000000 61522050 51155804 24591893 24556207 1000000000000000000 650329892 243811741 46320180 27228132 1000000000000000000 380980242 272735459 159664744 272604859 1000000000000000000 642692361 74566569 267021980 498011070 1000000000000000000 774440253 145746816 88143325 43418443 1000000000000000000 625232658 286088332 429197721 306268154 1000000000000000000 962050252 12028098 670345974 430104708 1000000000000000000 128648586 13402653 56845953 17338868 1000000000000000000 971271093 911398635 433528073 559101367 1000000000000000000 738678644 721366427 733452655 9140328 1000000000000000000 588961336 280897224 274089526 385535570 1000000000000000000 416444325 132868063 298228462 401506016 1000000000000000000 887489143 836146306 598503196 801833818 1000000000000000000 403649691 97221974 282550467 187176360 1000000000000000000 67313043 23326337 62188873 52083031 1000000000000000000 877652454 345700761 372353265 757438342 1000000000000000000 853979685 843835822 117906114 542751374 1000000000000000000 328130348 269330604 175101091 202312391 1000000000000000000 199624307 135094598 86336118 175446632 1000000000000000000 482385725 292688119 4716020 45869169 1000000000000000000 614303617 515153450 555184186 476997955 1000000000000000000 949677203 41470087 191951574 131789310 1000000000000000000 212464051 43982756 184478347 147125013 1000000000000000000 69402670 43945144 1327596 52218538 1000000000000000000 917622884 109230542 760657673 733869737 1000000000000000000 832501412 91525712 483342669 734900290 1000000000000000000 134072991 10637473 42165790 113094726 1000000000000000000 706731069 212575748 638502504 262016862 1000000000000000000 341961143 54906950 101272047 260595346 1000000000000000000 592686498 160682180 513804830 302137889 1000000000000000000 613130903 561728602 504463690 186860220 1000000000000000000 235707226 227140175 164942027 196468729 1000000000000000000 782796872 284862007 571129546 274661892 1000000000000000000 612842878 128557756 268980180 299339908 1000000000000000000 424048655 231932149 305220967 389567247 1000000000000000000 217280879 66392912 196474549 184094063 1000000000000000000 909092641 242809319 752387093 745284337 1000000000000000000 494289735 282441855 128967550 233194278 1000000000000000000 180664153 179478908 173289311 36844819 1000000000000000000 823888343 437789609 94791309 85693187 1000000000000000000 581326128 487018180 217329421 130161657 1000000000000000000 501048942 114437154 421114976 289684679 1000000000000000000 717136925 78172182 631890747 175673130 1000000000000000000 710149142 241176192 639709512 320065791 1000000000000000000 51138727 26458035 39641274 27169085 1000000000000000000 275024571 10830844 9073826 256531239 1000000000000000000 620970248 156593594 141329422 158001490 1000000000000000000 707240035 284672538 376769676 588759798 1000000000000000000 404576444 24080680 353502789 317539374 1000000000000000000 212778920 145447300 59353361 78534974 1000000000000000000 960097412 594559080 745688445 671008689 1000000000000000000 920378041 838546026 796865990 11694008 1000000000000000000 661653553 232920592 64062253 546314279 1000000000000000000 457086406 436356447 178079220 348480312 1000000000000000000 468737580 197313105 160850506 310956766 1000000000000000000 40944145 31861758 16540033 29532087 1000000000000000000 938161336 541656431 549719221 814184051 1000000000000000000 247689298 148506944 55275528 56833803 1000000000000000000 630870480 189221064 63531658 291397837 1000000000000000000 451387898 9819285 377712900 61822511 1000000000000000000 582116354 476609219 93236201 217967185 1000000000000000000 56503785 31553458 17580386 44383125 1000000000000000000 54286232 19235698 33480336 2218258 1000000000000000000 576840949 211479804 273999801 436771520 1000000000000000000 332958217 293036738 93478676 34900881 1000000000000000000 810634070 105968902 498047102 311499260 1000000000000000000 243844015 136962673 93869685 219837109 1000000000000000000 211082663 173405279 24965615 120055110 1000000000000000000 356434902 347449840 256142304 106082241 1000000000000000000 917460921 718012877 396947268 101851588 1000000000000000000 253762467 162371805 59670051 72358747 1000000000000000000 916772847 211393377 561737332 290515587 1000000000000000000 399487537 13984442 91045544 215896759 1000000000000000000 295143018 282370550 120057485 130910526 1000000000000000000 137285573 98333015 374371 68053599 1000000000000000000 167923 18542 127850 40708 1000000000000000000 453656945 99053499 103844474 431090321 1000000000000000000 375932582 328627117 36322280 88469681 1000000000000000000 197232429 67718146 125807554 191610777 1000000000000000000 245810750 238961575 179678568 214088978 1000000000000000000 171323899 68543100 64866261 90659558 1000000000000000000 686146928 436535925 593900523 684649656 1000000000000000000 256691327 200691006 228819062 74291652 1000000000000000000 97863724 92218287 60057778 12860433 1000000000000000000 927440696 489786886 175216989 43327455 1000000000000000000 661218720 30422598 78211495 162543572 1000000000000000000 863319916 399845359 847239321 11184117 1000000000000000000 637731110 406576689 171045731 616363136 1000000000000000000 840719153 482240921 490842124 570489172 1000000000000000000 967749021 620169422 703413260 813558176 1000000000000000000 904528967 366858580 764578543 205055239 1000000000000000000 169502373 7261838 4064066 68942347 1000000000000000000 409309064 156602628 261925732 406178996 1000000000000000000 943630255 935465766 382152945 578416443 1000000000000000000 116776615 74089265 65418196 43263666 1000000000000000000 154669102 3348612 146454123 122205939 1000000000000000000 539571954 298574011 521133445 514268323 1000000000000000000 896624321 385916058 748127602 836545799 1000000000000000000 994914792 26251462 182913991 726070954 1000000000000000000 95075210 74630044 15388659 36360351 1000000000000000000 237970289 103036688 23006755 81903899 1000000000000000000 508268521 29685185 30477065 383473286 1000000000000000000 292184133 59128875 132854875 136543659 1000000000000000000 938217212 872789571 407654607 897042802 1000000000000000000 213788111 106739592 44941724 126662598 1000000000000000000 867742461 454566391 767348570 774657989 1000000000000000000 132833134 49011573 42824974 129679824 1000000000000000000 874389394 526466260 237076770 849151964 1000000000000000000 260065215 203042144 150723018 211268194 1000000000000000000 123692848 101926315 15796307 2306047 1000000000000000000 160064759 124540449 35844727 111490464 1000000000000000000 109144085 31004108 71489723 92211862 1000000000000000000 254642823 141243683 1452087 87655426 1000000000000000000 815502911 34078737 235338694 570523187 1000000000000000000 346090968 322888696 302283434 124255569 1000000000000000000 909318702 39162418 564201955 389537365 1000000000000000000 657832250 231961165 322722511 644662604 1000000000000000000 156982630 60937631 85363173 128803463 1000000000000000000 779536290 703615744 503721942 603268213 1000000000000000000 478689592 306830985 120644086 356843834 1000000000000000000 184881437 65011926 63102070 149585978 1000000000000000000 302965604 167793313 85350069 187360948 1000000000000000000 683012459 10036598 182905331 554112132 1000000000000000000 492206538 74604095 423106740 211505760 1000000000000000000 936412215 841687543 172451315 417630888 1000000000000000000 686828858 235479784 611636984 264524562 1000000000000000000 863552447 754293175 790747509 20957201 1000000000000000000 937235924 243300909 656632094 699296025 1000000000000000000 363243168 297738632 253141234 174426527 1000000000000000000 180152208 172991843 152500315 138816265 1000000000000000000 978902805 539696879 278626790 880076051 1000000000000000000 214150567 172732387 205338969 83462029 1000000000000000000 228790821 152439198 161079938 67772010 1000000000000000000 648858063 170393089 368692327 495918069 1000000000000000000 896263136 97601013 683359417 344791058 1000000000000000000 639700166 231509514 226022707 187678580 1000000000000000000 497381039 145169995 75450609 336888231 1000000000000000000 920358071 480450170 246005965 644165529 1000000000000000000 395660061 180077496 380109110 80408128 1000000000000000000 539943970 167488032 240626884 497828123 1000000000000000000 317612745 298410777 6279564 158738482 1000000000000000000 440445463 49071397 114176033 98132712 1000000000000000000 491566488 285386623 101149103 427892086 1000000000000000000 492418369 420975701 321790520 14443577 1000000000000000000 285420849 248574290 101714650 267472329 1000000000000000000 142222919 91469449 83953145 96581171 1000000000000000000 679960589 508631451 36469621 293622670 1000000000000000000 563460729 211693572 528403976 54114539 1000000000000000000 513173593 385367571 100411571 1923047 1000000000000000000 453269805 308554169 420756204 446710546 1000000000000000000 24696879 14159612 6462729 10146328 1000000000000000000 958734593 611817380 406077410 386162547 1000000000000000000 249862914 171639981 120028226 21373573 1000000000000000000 4125516 4017942 2314120 1572635 1000000000000000000 764133630 495323529 298954 577371076 1000000000000000000 53925019 40043027 44782396 25730373 1000000000000000000 121510629 27115510 602478 43213119 1000000000000000000 304272374 128550190 76391989 38640362 1000000000000000000 494173323 79693342 249624196 302596757 1000000000000000000 719065810 666140588 356249374 364064392 1000000000000000000 643846470 146475359 472070893 11318568 1000000000000000000 539696787 228546516 510133572 507453390 1000000000000000000 898312916 880302618 363981732 783323498 1000000000000000000 607246132 184462368 499381401 550742032 1000000000000000000 839167833 541724251 819317068 579073670 1000000000000000000 337949956 195710915 23663453 253195646 1000000000000000000 871057951 333178591 274375596 633409018 1000000000000000000 947819079 560387842 694277583 12905874 1000000000000000000 610280588 188282520 308947713 489315000 1000000000000000000 998379124 826382324 161962411 585284978 1000000000000000000 967279672 166318032 885884662 79317368 1000000000000000000 556057303 512978732 293686837 185358847 1000000000000000000 71679310 67815840 15366926 20818551 1000000000000000000 881626337 726383657 638390083 206974410 1000000000000000000 750773333 361364845 458211172 512644907 1000000000000000000 630603165 592994583 138126034 549706652 1000000000000000000 352813998 290131530 311049579 30140385 1000000000000000000 759938364 106590331 228451668 122158018 1000000000000000000 689826349 410513719 216976659 73643946 1000000000000000000 305906191 92010293 198057841 57327236 1000000000000000000 737660743 17663343 712386804 308188427 1000000000000000000 78923823 51733378 26333803 72965539 1000000000000000000 400705276 239661735 209334250 264092148 1000000000000000000 309293837 209999422 197661078 221945708 1000000000000000000 536097949 225623024 117325165 376596695 1000000000000000000 414565026 25010086 130006811 198893680 1000000000000000000 67582842 23684055 38431118 9249147 1000000000000000000 396603045 267040439 67750838 303100220 1000000000000000000 551081558 426296813 483146272 70614936 1000000000000000000 427364271 255951363 373616495 69422402 1000000000000000000 520429870 404043313 159872210 518476699 1000000000000000000 189114421 139211269 97937119 136895584 1000000000000000000 18130780 8305286 762764 11165580 1000000000000000000 937844356 228084180 548537127 100868949 1000000000000000000 843136273 188222176 331250392 727451976 1000000000000000000 380459810 202896063 253794138 380074170 1000000000000000000 464878975 160196750 83393414 178476339 1000000000000000000 987396788 906663680 369433535 233933468 1000000000000000000 530448228 260273022 502941835 190773338 1000000000000000000 734093762 151291774 402139492 273149958 1000000000000000000 773243254 718379145 683390935 450897693 1000000000000000000 486826010 232989600 373051910 185714445 1000000000000000000 846396871 639503998 618456852 266442091 1000000000000000000 413788148 245699244 405444662 408219112 1000000000000000000 276757325 118507197 130756970 8459622 1000000000000000000 388146888 5684973 11590461 235396766 1000000000000000000 308101040 28219350 202311719 287174781 1000000000000000000 103623313 43560691 49221979 49394000 1000000000000000000 726903492 534705161 91481368 240431421 1000000000000000000 923796756 893242695 498851634 330682345 1000000000000000000 791323668 723750801 27875583 403342844 1000000000000000000 286447897 30668451 81838523 239720716 1000000000000000000 946768270 52036251 116039294 567547281 1000000000000000000 6182309 4959986 2190386 5156076 1000000000000000000 330943341 226301052 80457296 148637523 1000000000000000000 791553719 214357840 526558936 443179718 1000000000000000000 751863789 568677370 150634305 354794968 1000000000000000000 849234733 212891277 104656979 766447507 1000000000000000000 223160720 47690470 52815401 26835633 1000000000000000000 264673760 137827227 79179268 61255389 1000000000000000000 229124623 188292844 89772250 157841223 1000000000000000000 604835401 407606640 312158953 140767557 1000000000000000000 981461185 179558636 973893783 333464718 1000000000000000000 876194323 728203283 263539235 447207316 1000000000000000000 236558099 54398642 23898910 102924872 1000000000000000000 197041631 97711350 46329179 65042588 1000000000000000000 599194370 487609160 59240978 164852022 1000000000000000000 296984607 225110786 133210313 27136291 1000000000000000000 963766054 532525066 937674848 219415290 1000000000000000000 566804308 357113037 50323033 438331163 1000000000000000000 959399212 645123691 683211204 126619379 1000000000000000000 127557883 39179373 103697578 54878838 1000000000000000000 890443919 314747251 421696283 133291827 1000000000000000000 458301886 26036490 372543330 148528034 1000000000000000000 910760294 458607126 473675765 479369751 1000000000000000000 873895283 687338226 249533098 522969036 1000000000000000000 129174062 69447793 7272735 17782929 1000000000000000000 557787843 143227 541146681 274136591 1000000000000000000 447066730 93109190 366001983 136296432 1000000000000000000 379146546 92643266 222967208 58477932 1000000000000000000 546104336 357236557 147837375 329809494 1000000000000000000 478151213 343518166 28797990 227131713 1000000000000000000 401821353 166713870 210400725 378372147 1000000000000000000 535481581 373708580 472814174 19616230 1000000000000000000 515443219 499846819 49757300 216014651 1000000000000000000 752398292 655775797 499639120 438892412 1000000000000000000 330860333 65643755 235609678 312676526 1000000000000000000 286393908 82557842 232318604 183336482 1000000000000000000 891428414 690003781 540453072 759139272 1000000000000000000 178684789 41252482 96884561 75669982 1000000000000000000 654875396 115492855 258392766 627174418 1000000000000000000 557911228 210850500 227473056 321640472 1000000000000000000 608162673 367848163 115504531 533108091 1000000000000000000 154943011 52545180 117245218 121172508 1000000000000000000 523604702 97744978 175129397 113423020 1000000000000000000 328844197 44139812 228802525 105789647 1000000000000000000 26333942 22265413 12819762 3833418 1000000000000000000 444909373 240543200 443224127 364691592 1000000000000000000 943106338 221437714 847625473 37858952 1000000000000000000 915780230 758664287 154004346 748182297 1000000000000000000 452292351 220101604 221722453 431018565 1000000000000000000 168190506 52331000 18217555 116081116 1000000000000000000 521501129 154005524 490781174 508935438 1000000000000000000 866002644 235994133 336840493 774587092 1000000000000000000 381505401 70251677 337990283 66574472 1000000000000000000 686369431 323856316 464832026 158561408 1000000000000000000 659145250 232469521 502152756 628811348 1000000000000000000 283676289 159643466 27929922 272913395 1000000000000000000 544434835 309843641 211147919 496633436 1000000000000000000 391429549 339187289 324984135 71069155 1000000000000000000 28123990 28070743 15918097 5062159 1000000000000000000 988205325 502340898 601693741 458954660 1000000000000000000 286052446 10370534 263096156 190441234 1000000000000000000 36429663 7896814 5900445 35782162 1000000000000000000 623582807 353251820 112558772 6407521 1000000000000000000 415268917 295182963 62258568 261558764 1000000000000000000 328582780 104427010 195365655 176309909 1000000000000000000 223744496 92410340 84792196 41170541 1000000000000000000 693679483 113086148 170696434 266506818 1000000000000000000 179289243 16932243 131680733 52768497 1000000000000000000 603918334 370122281 253237528 546798324 1000000000000000000 340851642 280801534 311077305 112370280 1000000000000000000 221204098 220105594 119175484 210220751 1000000000000000000 304676934 166981714 298866306 221278862 1000000000000000000 128849399 93644629 88259541 47285038 1000000000000000000 198173630 109180856 132475756 26807619 1000000000000000000 519741651 86741627 163856078 251591095 1000000000000000000 345525023 42930623 35133577 33465472 1000000000000000000 597244698 181272558 436222953 105770744 1000000000000000000 217665759 9565120 6788760 8681975 1000000000000000000 232223557 9865194 62132421 92490069 1000000000000000000 56212846 735517 20881129 52085700 1000000000000000000 508985302 381904207 303684561 33399504 1000000000000000000 339605183 78453925 119068428 252679607 1000000000000000000 208510842 110866526 9535035 186860363 1000000000000000000 649765806 106668031 512867034 292868288 1000000000000000000 681386441 559373729 441591685 189846238 1000000000000000000 747272192 667257375 629105814 178248207 1000000000000000000 455994030 381755934 414130610 5347087 1000000000000000000 507949084 495046592 130544420 443933729 1000000000000000000 704257976 55326732 233241164 15207460 1000000000000000000 607345405 19988824 554901021 435747522 1000000000000000000 465089381 342379387 432155120 270026558 1000000000000000000 553017698 108036306 458516763 85535344 1000000000000000000 507536969 30456393 482339698 427662443 1000000000000000000 939937235 450147083 413521567 692203463 1000000000000000000 994243713 456142528 401220460 90372072 1000000000000000000 897280697 533729659 277273025 329095417 1000000000000000000 251623427 122281770 79506677 197482904 1000000000000000000 322772047 249193595 256176478 122371575 1000000000000000000 882839278 718095716 611270373 226116615 1000000000000000000 139242931 71644452 32736321 131814755 1000000000000000000 17696748 17634067 9354694 317539 1000000000000000000 323433926 79593268 235745562 153412033 1000000000000000000 375636222 262359465 67245639 176780980 1000000000000000000 297934015 196131135 129947928 216417021 1000000000000000000 801409194 29881698 56939650 59263872 1000000000000000000 661490428 324278270 175401595 552168033 1000000000000000000 455788969 117275933 197392658 54648336 1000000000000000000 467080707 358021957 247232959 170322624 1000000000000000000 471985177 47029473 160250476 38181259 1000000000000000000 766768409 222590670 605481817 490275041 1000000000000000000 109662343 38019861 43764766 105215643 1000000000000000000 923349915 447485417 852329284 814537570 1000000000000000000 777747860 89301507 624777805 366493867 1000000000000000000 438918969 208154778 267791099 321458805 1000000000000000000 921942402 253739984 842595734 691298122 1000000000000000000 907288123 51463106 36408167 731405698 1000000000000000000 11887529 11074885 6047855 4294980 1000000000000000000 471197592 75957418 470936659 164433316 1000000000000000000 419497812 265687907 305649407 413265962 1000000000000000000 980446275 822871164 939296503 976157800 1000000000000000000 431392004 112732950 356568469 325312146 1000000000000000000 893269535 781665835 583563601 181761285 1000000000000000000 126078451 111672365 36024458 69559687 1000000000000000000 735592949 112937502 719836462 281874265 1000000000000000000 596781213 4082021 580628420 424504050 1000000000000000000 220906019 136350013 121594252 140510339 1000000000000000000 933827669 378863067 454830653 686442845 1000000000000000000 206705798 30016209 195534938 159838031 1000000000000000000 788426634 520216055 50995154 337337001 1000000000000000000 534097723 73339890 249559798 190518010 1000000000000000000 495043215 304022239 170809388 374262640 1000000000000000000 611247156 489650597 258231165 502407094 1000000000000000000 275723780 185731932 68312638 47691665 1000000000000000000 568008479 439557591 106278694 240678461 1000000000000000000 541490507 106998580 379242578 72833731 1000000000000000000 435659532 203103290 162844552 402949479 1000000000000000000 47639444 19124891 46526857 33026992 1000000000000000000 900970704 765077210 339634905 755221558 1000000000000000000 387911683 8938049 98864506 273430681 1000000000000000000 761620648 176562588 195952875 384928872 1000000000000000000 204568053 14495660 50639443 138968312 1000000000000000000 474929172 276716965 470037325 15791590 1000000000000000000 992517209 853039312 274263907 781227333 1000000000000000000 687698061 430563831 449432558 642383795 1000000000000000000 161104446 14925104 66783139 115342086 1000000000000000000 928790628 168830681 14954578 459407822 1000000000000000000 878885086 213525591 301540513 270581878 1000000000000000000 421998192 87514950 84914399 49111834 1000000000000000000 592520962 510867715 192443678 27882023 1000000000000000000 551537659 345563842 398421030 147517269 1000000000000000000 709136594 6363306 489212165 467132389 1000000000000000000 205405163 98643994 157774754 160217153 1000000000000000000 68568148 52861305 27125238 4653548 1000000000000000000 359361817 129209556 147250386 275827715 1000000000000000000 426732349 266025895 106577814 97786977 1000000000000000000 657993738 623294017 466944100 127191172 1000000000000000000 536948466 163214803 166801894 479369204 1000000000000000000 500773709 117055899 462092202 425196115 1000000000000000000 805269933 149860861 608867884 473810079 1000000000000000000 293040313 216744008 92691522 63190066 1000000000000000000 857032050 421994886 803967972 22871282 1000000000000000000 694207745 342021566 669275263 207502626 1000000000000000000 568603852 211889287 205979711 527705606 1000000000000000000 839856578 93919043 481119164 836427018 1000000000000000000 369064039 136964038 292844415 314356957 1000000000000000000 782733769 574008945 717069851 453319106 1000000000000000000 105965649 33675814 101044836 15294329 1000000000000000000 89712266 28979799 67904232 56198502 1000000000000000000 158122903 45657993 14076315 127918779 1000000000000000000 120366010 113185186 21221176 7485610 1000000000000000000 997097271 580044195 632536708 959829089 1000000000000000000 703472257 68918145 615884072 506831351 1000000000000000000 855160373 574190598 211356331 752671707 1000000000000000000 856114119 232371044 104846983 409481915 1000000000000000000 800467062 376317957 616846960 753502103 1000000000000000000 495399804 471175600 327479468 82688672 1000000000000000000 830397685 276477072 257319931 560641114 1000000000000000000 589239140 152893390 200364080 470407388 1000000000000000000 712022726 354715678 450562080 429423980 1000000000000000000 566756014 564559168 165650709 505032723 1000000000000000000 332166802 25516913 321086326 234013345 1000000000000000000 870857196 403578477 259906944 678367646 1000000000000000000 966745454 499471056 323301130 757990416 1000000000000000000 269354485 62978157 194731863 153499923 1000000000000000000 935712731 861306249 221889575 501011572 1000000000000000000 891996897 689102925 134764707 425368464 1000000000000000000 750367963 340867850 385488870 600035660 1000000000000000000 293075371 106827130 92035237 169310648 1000000000000000000 685373169 73461834 37667698 186378498 1000000000000000000 13757106 23512 12254006 13492262 1000000000000000000 383304541 143847037 51498024 356560503 1000000000000000000 183876584 169624484 169165052 126238292 1000000000000000000 783708123 702512290 318877017 687586007 1000000000000000000 788015091 583242168 289406919 305685914 1000000000000000000 865033359 360513061 512999501 621063017 1000000000000000000 685071764 83341866 190622300 279192850 1000000000000000000 242855323 241552514 94293078 149916828 1000000000000000000 526335117 223966961 447298915 415636169 1000000000000000000 443713800 99809137 120524541 284687970 1000000000000000000 654569703 564767283 397440962 317670556 1000000000000000000 756867460 433142880 175782962 582008880 1000000000000000000 657574717 476173690 591154734 119027427 1000000000000000000 100942412 8333566 13350779 25410579 1000000000000000000 611067215 76623793 354881787 148869011 1000000000000000000 183329511 144890130 109813269 115535683 1000000000000000000 831184720 817890322 534718621 728729879 1000000000000000000 623857645 584765127 44310456 450089719 1000000000000000000 458036820 250085370 363160529 392597472 1000000000000000000 781952784 29752519 600235588 119160246 1000000000000000000 226923758 86703261 20273027 191431067 1000000000000000000 213318670 79118068 51844921 90157321 1000000000000000000 401326976 262719818 216682570 104930025 1000000000000000000 137416917 66537363 37085718 80629531 1000000000000000000 589238376 559557397 36863537 579773252 1000000000000000000 303137806 171693907 284142321 43709800 1000000000000000000 726016322 412019109 7233803 395576457 1000000000000000000 126504485 73895292 7295993 96739101 1000000000000000000 721827323 693463399 524478180 227481859 1000000000000000000 393403557 78359921 156686807 25063122 1000000000000000000 483811932 115067265 265766573 27847988 1000000000000000000 603888459 433758527 157395355 534859301 1000000000000000000 95065364 70821299 5777582 8895420 1000000000000000000 897363935 393188518 183945043 514070357 1000000000000000000 691637906 625580778 392254477 172380973 1000000000000000000 773541238 237000799 129895607 474051779 1000000000000000000 742236783 223755846 312943916 269578383 1000000000000000000 370633523 58511202 249984376 286701033 1000000000000000000 335866620 101369876 235199513 319457810 1000000000000000000 123978803 50641955 66252766 95410633 1000000000000000000 563595734 184579038 335814835 548094828 1000000000000000000 700021118 533674470 32425180 485804343 1000000000000000000 551575404 176564728 381022040 453294103 1000000000000000000 963551226 29269672 163778783 791784906 1000000000000000000 620021603 184858545 17801696 506779303 1000000000000000000 731800832 702894166 111670607 614422626 1000000000000000000 601496504 354964225 403690755 316592071 1000000000000000000 749764504 729089577 536083097 452274237 1000000000000000000 526157159 203973748 420207313 135450206 1000000000000000000 695880692 79002697 226847953 347497395 1000000000000000000 404809632 91617504 108961422 116832123 1000000000000000000 239715544 60258732 69775119 11026768 1000000000000000000 163357271 110513242 67686547 115721285 1000000000000000000 613904316 271489799 333172722 461453893 1000000000000000000 127892223 126099047 63021433 566623 1000000000000000000 189918175 77970023 172138150 129122755 1000000000000000000 567722891 146093785 208643985 179146190 1000000000000000000 3138090 1213812 2333389 3059223 1000000000000000000 789552046 601345110 523243757 728709023 1000000000000000000 766391590 215594322 35985390 603869858 1000000000000000000 127114223 46141838 64538231 53898678 1000000000000000000 344291959 121321258 125247422 249729314 1000000000000000000 292837941 128249346 153816506 159339357 1000000000000000000 289022362 254917300 60776031 148034152 1000000000000000000 885932693 182037676 624220390 480364107 1000000000000000000 693712038 602659140 414423202 423185701 1000000000000000000 38761370 5694650 4692382 38131459 1000000000000000000 795337617 673205868 648573721 481434495 1000000000000000000 710164453 565037013 64821428 54239099 1000000000000000000 855429478 526495735 540969910 125911235 1000000000000000000 264743412 14987954 175650607 4931250 1000000000000000000 566503992 443427316 282228367 437932263 1000000000000000000 740061883 611129620 338655731 651117036 1000000000000000000 7627219 2591547 2370473 6036707 1000000000000000000 519658936 401982681 412320868 145790529 1000000000000000000 563194987 206952632 191165347 237509484 1000000000000000000 659343664 177289122 96188518 480674693 1000000000000000000 468700860 232406834 252128122 360664565 1000000000000000000 414888564 279698533 264287117 85311704 1000000000000000000 170045759 69135828 85509867 32754347 1000000000000000000 612614608 148807363 151792736 454653531 1000000000000000000 539740240 18268911 73520019 370975088 1000000000000000000 605194421 123161200 527401464 135155623 1000000000000000000 59368388 48699370 19491935 13982101 1000000000000000000 549199425 16595897 105367255 537895236 1000000000000000000 653732238 262152506 328134956 105370995 1000000000000000000 635538289 226601382 454225771 503233212 1000000000000000000 516980912 47401318 306019662 3061903 1000000000000000000 59967903 27046096 25033286 14375798 1000000000000000000 935647177 71460312 831564763 351722154 1000000000000000000 588332016 331189789 47378259 10014380 1000000000000000000 73115428 68466090 13868204 8544868 1000000000000000000 25363917 6911609 25189346 21121111 1000000000000000000 836504919 527349526 79232222 137887207 1000000000000000000 615956447 33222700 569554325 191011091 1000000000000000000 328293507 168019881 242112558 154502973 1000000000000000000 296668119 203834716 69304695 118815253 1000000000000000000 356491728 86180642 338964174 243251255 1000000000000000000 918221590 466470476 687995551 250054422 1000000000000000000 208508169 42675194 16377064 142442159 1000000000000000000 823844026 392771345 429703600 583411011 1000000000000000000 687351129 190532579 55498955 60774178 1000000000000000000 937012833 548976434 551295276 180635986 1000000000000000000 701211080 496888350 170767019 257823189 1000000000000000000 757796056 444186395 224915558 211854270 1000000000000000000 113610012 12363476 9384941 102244077 1000000000000000000 632959992 169987238 337641672 85254003 1000000000000000000 992785455 4123281 945959843 540165204 1000000000000000000 3458347 222248 2519460 1640611 1000000000000000000 87803758 71331993 4786906 37572051 1000000000000000000 557328251 370335082 265608095 115464429 1000000000000000000 837301856 378032051 418242903 379594806 1000000000000000000 164788273 130797774 38798342 138114887 1000000000000000000 766911954 100319989 222157260 595016806 1000000000000000000 768943028 380167235 595964008 105909054 1000000000000000000 419986309 187304556 92897687 338456139 1000000000000000000 796193810 444572754 703811253 281333677 1000000000000000000 470725453 115090132 432431785 89719759 1000000000000000000 185963665 12744599 21637431 93703743 1000000000000000000 102429665 33030858 100290354 48962715 1000000000000000000 454228984 251609739 127144891 187061055 1000000000000000000 512444766 80760734 98360941 411518517 1000000000000000000 464150239 166161019 218368077 230948942 1000000000000000000 296186833 37707430 5856376 219887488 1000000000000000000 327116951 47188762 148064488 144761116 1000000000000000000 94763419 65221277 94057518 8607837 1000000000000000000 236713396 14722281 132369007 59776861 1000000000000000000 218751918 179291597 148003895 42345961 1000000000000000000 338573017 135583966 143014840 198244074 1000000000000000000 647201105 311981815 575422853 253042318 1000000000000000000 825448259 618208054 145554064 486372026 1000000000000000000 268905851 109347913 69089496 11690018 1000000000000000000 387321671 172558480 105657315 75668944 1000000000000000000 404543637 65784847 400489902 108426969 1000000000000000000 281383146 272377689 235994028 243127772 1000000000000000000 470034491 105214054 67237501 129605690 1000000000000000000 952608154 548420646 938902423 62624067 1000000000000000000 240714120 32091693 98661555 223119534 1000000000000000000 541221326 261793257 425188982 248494710 1000000000000000000 124455826 70331825 17344765 58155997 1000000000000000000 737086733 250009677 323619513 43082470 1000000000000000000 302684657 179587591 226401700 171811681 1000000000000000000 448657822 85187293 9882160 167184442 1000000000000000000 765913846 633641147 242166788 73990859 1000000000000000000 351213338 102713296 268434972 226650945 1000000000000000000 509080001 36398226 399142287 38620511 1000000000000000000 65409083 58199942 3889005 54898426 1000000000000000000 524822205 289243739 222526739 272560688 1000000000000000000 928411530 464835951 702241462 156515516 1000000000000000000 149514410 19919483 22528060 61152708 1000000000000000000 46313019 21585384 21966519 18339553 1000000000000000000 541308877 296461671 71241254 407219314 1000000000000000000 507803687 115129928 453130406 180088464 1000000000000000000 282371334 219179025 243647809 234325718 1000000000000000000 4927253 4300681 3389292 4292883 1000000000000000000 265623090 259291513 205059795 118061380 1000000000000000000 281242386 253208581 60505292 256573003 1000000000000000000 192118711 154253807 73157786 29012844 1000000000000000000 808773504 26558750 492550459 684061776 1000000000000000000 620748700 401957286 68395182 20559456 1000000000000000000 4595659 43569 4195947 237591 1000000000000000000 721512932 673544358 521451323 714141194 1000000000000000000 21375897 7095624 6195750 18335441 1000000000000000000 56627199 26907260 31984982 1246443 1000000000000000000 484202522 226027183 481139812 101391317 1000000000000000000 502795335 458063610 192748795 299846394 1000000000000000000 297518888 271652509 183446783 58944278 1000000000000000000 497588029 226236324 307495168 166496044 1000000000000000000 415102959 99106025 153817029 217356986 1000000000000000000 677285469 115304043 634297244 160120236 1000000000000000000 543689248 438300827 275124508 45599252 1000000000000000000 339386261 336490892 84123830 103219695 1000000000000000000 950621884 620911558 218967217 276554482 1000000000000000000 240871069 23955914 224189149 184581198 1000000000000000000 979708646 587835449 357961495 27637583 1000000000000000000 988203897 739030008 889615981 351544507 1000000000000000000 664925167 176564054 274058451 494440105 1000000000000000000 27397785 20786513 14890685 5382712 1000000000000000000 850452182 461456789 541148362 130295919 1000000000000000000 117340992 103233314 74085390 30083124 1000000000000000000 369679119 345533596 292399219 6918621 1000000000000000000 402896197 374407845 380831473 39016367 1000000000000000000 795819242 769518120 590291460 36565829 1000000000000000000 94457261 44529749 94309286 8607720 1000000000000000000 804243921 756691923 503258287 763175248 1000000000000000000 788409193 299575764 783490196 341470659 1000000000000000000 638892090 341758159 630710631 310732953 1000000000000000000 391947934 301045131 328037804 335681190 1000000000000000000 762477729 10647814 648060101 106250119 1000000000000000000 958427717 23623058 212324281 561938955 1000000000000000000 12215975 10247522 5587156 2708067 1000000000000000000 725101825 235627285 392383756 685532269 1000000000000000000 254252443 58287344 222184392 23714966 1000000000000000000 322520594 28335630 206450017 235986652 1000000000000000000 532443848 482345927 125034818 283796352 1000000000000000000 981849692 644220080 149735955 123289136 1000000000000000000 430615695 84017414 156470413 108715270 1000000000000000000 233797049 39446317 193867365 44978268 1000000000000000000 858547562 706718817 303376397 237815910 1000000000000000000 707852990 282210588 100163723 218922149 1000000000000000000 906582903 830617897 31447087 211308122 1000000000000000000 326008290 254539833 204475507 317266183 1000000000000000000 905952401 6289284 727036054 584784287 1000000000000000000 670722854 194383798 340795644 291841393 1000000000000000000 300540565 194151858 9122825 242524448 1000000000000000000 142926213 4016822 6909822 9455818 1000000000000000000 332432010 34488362 222516893 267942702 1000000000000000000 530861802 195333495 200603987 406615160 1000000000000000000 181476358 91514859 112512153 129217454 1000000000000000000 398194511 41410598 157562140 288470838 1000000000000000000 234501012 28650268 126180667 94652013 1000000000000000000 457646104 16477659 249137142 99722953 1000000000000000000 644363881 531795311 211117516 636805197 1000000000000000000 812227482 758034288 613374108 667944457 1000000000000000000 351078950 22464302 190775077 145501135 1000000000000000000 592735820 246865822 466108671 430602694 1000000000000000000 567537380 311424654 126221445 504490431 1000000000000000000 296288676 235922296 254931761 88099887 1000000000000000000 122795531 76819569 80943140 10493847 1000000000000000000 629241301 157549661 526334858 220247853 1000000000000000000 706545819 9919912 315329263 273811858 1000000000000000000 444992789 191788827 372729349 83949135 1000000000000000000 82945358 21850137 40830622 72949996 1000000000000000000 987651696 372950400 489676333 890569349 1000000000000000000 167378254 44251498 50223990 12763531 1000000000000000000 333722445 282623165 242804699 234445468 1000000000000000000 380792490 80382385 354734193 34088230 1000000000000000000 38601449 4997680 21174184 22276121 1000000000000000000 732314670 364608681 578216679 404465078 1000000000000000000 511915476 505664320 504753850 97736012 1000000000000000000 830405102 187385123 814147340 92089440 1000000000000000000 818340789 709174147 298163383 63521386 1000000000000000000 984342913 259076124 233020110 296355894 1000000000000000000 565233516 299233513 129014123 331409944 1000000000000000000 722972184 620011417 92929672 170251125 1000000000000000000 291790876 542478 88877332 237646689 1000000000000000000 564089609 326888909 61630736 238471306 1000000000000000000 54104960 24411920 34847346 3991258 1000000000000000000 192471198 152042753 77660452 1703651 1000000000000000000 41829823 32287243 36676136 33785853 1000000000000000000 300919685 236120080 11661823 226387154 1000000000000000000 376005612 328378542 76319855 371434890 1000000000000000000 731309672 573959982 328610632 353360828 1000000000000000000 751871029 249096882 176860117 693723171 1000000000000000000 971555851 928760034 191796866 145229653 1000000000000000000 255114028 213453451 128806379 188127151 1000000000000000000 964350467 638857047 357809645 659009557 1000000000000000000 431078483 303385477 282750797 95871429 1000000000000000000 101695809 15338850 5153871 49484135 1000000000000000000 775162010 673398015 9139165 62111240 1000000000000000000 8251878 4458529 3291767 4233494 1000000000000000000 373417985 311707462 294698086 204938351 1000000000000000000 753185794 269216427 593755224 672555242 1000000000000000000 164954643 113977732 15591168 16648604 1000000000000000000 380754669 229961000 148119653 214846881 1000000000000000000 685425513 16279961 662496188 248714040 1000000000000000000 532359048 378448794 479445894 473936332 1000000000000000000 581528501 480915483 234565375 26286675 1000000000000000000 944001626 320314143 93837076 478179877 1000000000000000000 242647479 18489707 34771910 8380446 1000000000000000000 656987775 20411812 132574358 547592239 1000000000000000000 283060978 15296397 253390149 31326113 1000000000000000000 108786110 104747624 89108922 6623038 1000000000000000000 246866338 100203863 6435630 132309007 1000000000000000000 604981759 357784435 38910177 559604014 1000000000000000000 543946090 16032060 329077276 10913913 1000000000000000000 973657110 19048584 429669442 61790980 1000000000000000000 336225576 41932919 223361535 31122993 1000000000000000000 555188698 241187704 538884747 402153693 1000000000000000000 921827816 683397528 153509430 747829977 1000000000000000000 716458609 176558117 551323682 434857519 1000000000000000000 108843482 47349503 98416259 90156009 1000000000000000000 558809512 226541422 105648603 383244456 1000000000000000000 567492572 27575860 288332273 168866211 1000000000000000000 368808414 90761510 42741517 269233036 1000000000000000000 902656978 441906092 357235907 105823251 1000000000000000000 104524729 104488333 73544913 50179269 1000000000000000000 477721174 463197814 223335088 273505797 1000000000000000000 279830211 223539859 26093839 222363741 1000000000000000000 639212574 275818562 375335551 526236393 1000000000000000000 374740228 192265045 85226311 32684677 1000000000000000000 658912389 523828535 216680270 463027766 1000000000000000000 179644546 56993198 35770231 119194773 1000000000000000000 190833828 134225912 129366216 70280793 1000000000000000000 880465311 74524582 475438667 213369524 1000000000000000000 110916480 80253331 72289979 20192613 1000000000000000000 489344725 316837287 90981750 260544668 1000000000000000000 479818373 361482972 317300164 27663299 1000000000000000000 197375530 84386073 116542714 51644104 1000000000000000000 774736693 600152744 456690901 653339399 1000000000000000000 775221290 615858718 204752309 228899713 1000000000000000000 230553674 221285950 65881982 158243309 1000000000000000000 722471434 339582495 357636487 593891722 1000000000000000000 331441625 266606444 177210901 193143098 1000000000000000000 232651952 152900014 207113701 142238766 1000000000000000000 398020622 240720035 90408458 196059674 1000000000000000000 46254201 17289708 41435668 27979863 1000000000000000000 49042750 2953457 44196585 12465352 1000000000000000000 405764712 320342998 380293156 48711838 1000000000000000000 806447577 650447025 413864471 708462698 1000000000000000000 779136053 683256145 392752415 216354407 1000000000000000000 667879403 292781513 379441506 269369089 1000000000000000000 900883550 655402942 734786411 595743403 1000000000000000000 995465135 237176687 598550862 19475830 1000000000000000000 930298483 590712115 722899091 624721405 1000000000000000000 533164269 40542024 346729348 43332897 1000000000000000000 638776639 351972857 165205912 300948245 1000000000000000000 504905521 335796632 415839561 214759809 1000000000000000000 840804601 150014045 189361893 375541721 1000000000000000000 444315502 168748954 1172363 68044868 1000000000000000000 416047897 86157985 313670689 319220162 1000000000000000000 986560176 168783102 493176133 611390680 1000000000000000000 723733634 699282836 655870797 36814413 1000000000000000000 772253486 142968911 442858330 11061072 1000000000000000000 882581579 668025645 493210044 107177194 1000000000000000000 855235965 744471432 322737141 722960852 1000000000000000000 788092438 40736597 431574778 582207509 1000000000000000000 184335513 18255894 22974517 6735309 1000000000000000000 899485366 173480749 566229812 244146799 1000000000000000000 623215973 114097821 424798290 309460301 1000000000000000000 508289406 396134443 187719016 181274222 1000000000000000000 877648029 615240524 436078688 172377165 1000000000000000000 308204442 154429138 165437968 271550906 1000000000000000000 853868771 563636422 26419169 691213896 1000000000000000000 835421768 167054586 736636435 373071402 1000000000000000000 160217735 145106253 22872397 11581605 1000000000000000000 452181878 329412716 70595877 380684184 1000000000000000000 667418063 8465457 203878161 600924835 1000000000000000000 575153443 535069695 377791880 501908157 1000000000000000000 397661297 176063233 128356636 345578423 1000000000000000000 383853190 80452713 9578294 67507769 1000000000000000000 508891773 330310963 296147909 299764308 1000000000000000000 170344025 106847893 3268945 102606294 1000000000000000000 591046477 553509772 24978306 283159369 1000000000000000000 853486044 845228287 312583093 197646312 1000000000000000000 278165558 203512363 274633679 270323652 1000000000000000000 33580212 24541111 17038954 17716421 1000000000000000000 257966119 43283764 163970829 52515927 1000000000000000000 238825848 50755499 150980235 74796194 1000000000000000000 181943499 172467200 88620075 149048458 1000000000000000000 807076522 408358535 52435723 560530456 1000000000000000000 849051579 231053685 624750761 6637587 1000000000000000000 551553784 324182601 453035089 536669553 1000000000000000000 498272237 360490181 315709041 377218988 1000000000000000000 17026085 14942352 9982393 2398285 1000000000000000000 758418965 532933874 599467960 41184929 1000000000000000000 931585710 651297823 835725413 862977529 1000000000000000000 467108294 458159467 261502037 397989385 1000000000000000000 984692902 421499895 304213966 107835185 1000000000000000000 687983584 223860418 22286275 30769747 1000000000000000000 874591223 311708906 453085157 463588398 1000000000000000000 351435896 236094996 217336201 348761239 1000000000000000000 929578856 469573564 155901171 542588402 1000000000000000000 350459527 124149335 131320318 239045441 1000000000000000000 152274271 6214055 79525377 58352688 1000000000000000000 59778893 55207532 4447816 11521800 1000000000000000000 603906003 458439997 442966687 509768533 1000000000000000000 796553905 402339554 492639607 553259593 1000000000000000000 955789200 502693686 592983860 617265970 1000000000000000000 953483266 20803331 507089750 570273687 1000000000000000000 857976536 850627999 302475468 252074520 1000000000000000000 622999185 203788852 187629174 70793286 1000000000000000000 447147801 354064185 445174576 94933171 1000000000000000000 58254694 50096476 33158833 57630435 1000000000000000000 957914859 432817170 829838985 280073871 1000000000000000000 25003647 11108070 2329223 11351748 1000000000000000000 135371112 127237606 67971104 111510261 1000000000000000000 371487435 4924912 11351297 35785318 1000000000000000000 340759351 229323619 147415313 101647513 1000000000000000000 205854429 163973412 27322860 133286555 1000000000000000000 90023754 38739599 1652930 2211038 1000000000000000000 581275655 64781261 420257675 152083766 1000000000000000000 734809676 461770038 32080955 702713789 1000000000000000000 369741652 161053854 309966502 359488052 1000000000000000000 749296837 100382538 689752403 37218423 1000000000000000000 847669856 653648562 505008781 680296820 1000000000000000000 155844702 148611855 146388095 125612173 1000000000000000000 393455912 186795971 45375310 391303157 1000000000000000000 211684365 208244405 37843228 58938749 1000000000000000000 158704164 125654900 142361350 49119707 1000000000000000000 73647996 17557233 9325855 13457549 1000000000000000000 915881766 321216954 254713781 505670868 1000000000000000000 331376257 168670727 243945446 68041515 1000000000000000000 261090123 95956915 5770670 193980136 1000000000000000000 751073245 571425841 643384341 438970274 1000000000000000000 765952320 451639631 700569797 761232905 1000000000000000000 272193393 258858938 166490324 254416530 1000000000000000000 793633557 589906849 8166856 202855513 1000000000000000000 591172168 280245868 404606848 142810944 1000000000000000000 847895389 294862078 569341858 17166739 1000000000000000000 707876212 532809105 26482330 26642217 1000000000000000000 297712614 198172363 171274420 77359315 1000000000000000000 845226275 622919054 103666769 709817081 1000000000000000000 349018670 80161156 171384563 271948244 1000000000000000000 46641774 35887701 27453640 27513828 1000000000000000000 541329592 192772928 489734001 188905329 1000000000000000000 353049283 117505685 76294679 269546433 1000000000000000000 891297726 393356712 158935797 344574415 1000000000000000000 202075041 38513646 148348096 22678681 1000000000000000000 684341080 215526789 669377605 559699361 1000000000000000000 496392390 349634250 384280354 170926115 1000000000000000000 48402599 45702157 23027245 21551632 1000000000000000000 102450719 32601655 92182842 62354538 1000000000000000000 968766604 137003576 262809995 346886339 1000000000000000000 45948614 41031473 13552759 410158 1000000000000000000 353562214 291699188 348429353 4150233 1000000000000000000 349066006 141969637 255638472 150075523 1000000000000000000 102474595 82077512 48200860 23223984 1000000000000000000 848344840 573228551 251760762 67530834 1000000000000000000 766094038 707827652 751668162 496197026 1000000000000000000 346492113 281292453 190441141 320312285 1000000000000000000 564635520 485112346 535228398 513862077 1000000000000000000 545404523 117603836 63002053 367409600 1000000000000000000 402822689 338063566 273974374 363520215 1000000000000000000 97870812 79364173 2729567 61665684 1000000000000000000 129715840 34474690 52815739 106314076 1000000000000000000 482939756 329604745 154103423 341865643 1000000000000000000 565918714 405424835 457887490 330105913 1000000000000000000 255310300 228702785 97010267 205236383 1000000000000000000 645156663 331400577 557101309 374178017 1000000000000000000 339222582 126855751 40559660 16253145 1000000000000000000 603689441 313616774 590105192 454520921 1000000000000000000 173193019 109361950 77726578 112118107 1000000000000000000 322560527 71687911 298450623 151401406 1000000000000000000 591741999 307520722 260166217 349942338 1000000000000000000 855217919 546854282 391141205 31463661 1000000000000000000 5488706 4445535 4343738 793582 1000000000000000000 106941049 106883370 15667347 89588157 1000000000000000000 78457368 50005510 30342123 18577372 1000000000000000000 423706567 290643829 86604776 401010368 1000000000000000000 565810476 69866173 390026429 114252531 1000000000000000000 131791178 86227301 115592510 3030214 1000000000000000000 96420842 43012371 19569609 80359651 1000000000000000000 157261730 68187 107337575 123813333 1000000000000000000 686986505 621374211 440967894 259903358 1000000000000000000 48771630 34341885 10454513 13847429 1000000000000000000 267226021 263495166 138365204 86534420 1000000000000000000 938101484 408904851 74258312 127848777 1000000000000000000 280081643 97477079 266491460 5844937 1000000000000000000 365070066 50296311 197976550 79599201 1000000000000000000 679263213 296248762 16689121 351304257 1000000000000000000 705435191 15713133 270374614 476457419 1000000000000000000 758734414 178571745 742663957 4224747 1000000000000000000 489955358 196925788 425627071 164705731 1000000000000000000 690197554 203436976 329225493 547963174 1000000000000000000 752996066 171769207 613331496 417502753 1000000000000000000 631831072 173171878 458191911 230304587 1000000000000000000 345166962 136389230 308869462 133733171 1000000000000000000 31305229 9598746 6492357 16954884 1000000000000000000 74538928 47950755 9300762 42367613 1000000000000000000 929314812 384220637 770814258 66585724 1000000000000000000 239185750 222684107 215105756 18126143 1000000000000000000 579683928 576083782 441837460 491467141 1000000000000000000 426124587 123480565 188478737 277184106 1000000000000000000 260561158 81006553 150392123 209288781 1000000000000000000 600307254 205759591 546748766 31767246 1000000000000000000 690338483 145276438 334283305 230905590 1000000000000000000 252252844 67968537 71675416 208102406 1000000000000000000 939264705 786751784 274289978 245736839 1000000000000000000 297862515 205965854 187140306 100157832 1000000000000000000 285963308 121855918 120910800 183623030 1000000000000000000 955666971 834219143 75534484 314726256 1000000000000000000 131631322 33645920 4789923 5027003 1000000000000000000 250154878 246192860 84128523 117203487 1000000000000000000 204205353 25113376 83536024 173226674 1000000000000000000 734337497 355216474 630759395 124155607 1000000000000000000 694786534 331445693 329514801 435326066 1000000000000000000 844791217 788415227 369919162 138887098 1000000000000000000 988965103 166724024 899190115 453536819 1000000000000000000 400901069 324891538 65187164 220407836 1000000000000000000 199667100 162138958 82097151 35094537 1000000000000000000 54092493 2801873 50354081 37288549 1000000000000000000 137738748 130506438 91701787 120554325 1000000000000000000 251542498 42418887 31194612 75703746 1000000000000000000 771968960 15797718 54900499 251610313 1000000000000000000 259699382 134049951 185912949 38116537 1000000000000000000 197114418 168456850 179545389 160065786 1000000000000000000 303823785 189516657 258787666 266688999 1000000000000000000 7362305 5801504 355168 2221080 1000000000000000000 107354813 46010428 18503051 59450208 1000000000000000000 30173704 21508758 80050 3261491 1000000000000000000 908446502 26558962 713053622 562970559 1000000000000000000 57074041 25693482 7962502 46367969 1000000000000000000 849180096 506128419 194482910 278825840 1000000000000000000 981739574 282561449 802334817 558180360 1000000000000000000 257670008 189122745 191529829 3693615 1000000000000000000 674117277 287281505 79296439 517370592 1000000000000000000 145519486 117817999 40791112 2546404 1000000000000000000 584397356 495292485 374687203 269147241 1000000000000000000 909626618 198413466 516939308 858117059 1000000000000000000 937427595 298670980 935145290 794475106 1000000000000000000 875194475 728397718 4290513 749169341 1000000000000000000 53213409 29297901 46382181 50166239 1000000000000000000 343716848 168454973 94546609 198788805 1000000000000000000 247759741 161253053 10517347 54350417 1000000000000000000 786936404 255415705 518582873 46196405 1000000000000000000 400852702 23455376 373749743 324031222 1000000000000000000 349695734 140814581 252618186 217557740 1000000000000000000 104690470 93200402 6614862 38362006 1000000000000000000 703718427 169501275 294720131 116862706 1000000000000000000 81899041 71529231 5911342 32889678 1000000000000000000 278801422 3021668 45740328 50999230 1000000000000000000 788216021 479853635 323196069 539961875 1000000000000000000 433841565 33601730 149518870 215010715 1000000000000000000 353346154 169144699 236764744 292795252 1000000000000000000 991605266 862192918 223024036 798631143 1000000000000000000 244897896 207357301 238942361 80676926 1000000000000000000 213048640 108353893 43541428 67699203 1000000000000000000 591980955 483024207 120651808 343012768 1000000000000000000 264631501 82748219 62685833 95058765 1000000000000000000 348557752 82084916 250685676 204725724 1000000000000000000 677770456 363809376 576676105 112181886 1000000000000000000 292689435 187250659 131519185 7836559 1000000000000000000 258318843 146811536 160611164 13306432 1000000000000000000 776220652 158829481 596985748 284667467 1000000000000000000 976958580 512173774 174062267 432474395 1000000000000000000 289099149 71295860 185386493 27933859 1000000000000000000 920290203 449620043 706037035 676796236 1000000000000000000 110806455 81192280 51592315 28532061 1000000000000000000 434376488 105670723 425233292 374048993 1000000000000000000 140177584 42129723 48616886 4632596 1000000000000000000 594361269 232411957 191270035 298036619 1000000000000000000 563316917 470731445 152722978 150079320 1000000000000000000 288953590 95584854 87522224 70990256 1000000000000000000 513852942 493402970 449184957 58877835 1000000000000000000 899544095 824375996 87193050 862036308 1000000000000000000 360291862 79816319 40698798 339880339 1000000000000000000 327711896 116308904 323323402 60666820 1000000000000000000 168527695 159123937 17271284 790317 1000000000000000000 191084760 98051273 56410432 68038398 1000000000000000000 492109344 220633874 115118685 363153003 1000000000000000000 447887229 434713725 307076516 403672570 1000000000000000000 226581839 136263892 37747075 60600941 1000000000000000000 346070367 127344357 300362752 179274741 1000000000000000000 467601800 380277902 115802122 130602513 1000000000000000000 978900864 805887497 776647376 573263190 1000000000000000000 986947201 357796489 211397078 68115650 1000000000000000000 272511078 32328095 257202455 156706194 1000000000000000000 411892100 107464948 74258355 399554782 1000000000000000000 799101488 3723468 95869881 786338429 1000000000000000000 840672870 392585914 177564837 761912807 1000000000000000000 541026799 235277349 534307717 187884663 1000000000000000000 565532205 224572357 231187322 291889717 1000000000000000000 854321196 670869469 433910172 750982287 1000000000000000000 281726021 48169521 190355699 159278232 1000000000000000000 257745014 129099752 180642133 411036 1000000000000000000 302483562 150237564 133912071 106611630 1000000000000000000 165403101 8250779 104957279 152912375 1000000000000000000 634291975 318688695 400478893 284564053 1000000000000000000 558213273 346825576 164438988 328561300 1000000000000000000 260382192 240140592 80219809 49031821 1000000000000000000 381096608 37048748 234425513 238905983 1000000000000000000 816487928 727582644 726709208 543242951 1000000000000000000 945834176 625876688 110971576 465142653 1000000000000000000 365940674 99332833 75648044 176629622 1000000000000000000 51187841 14358923 18056038 3730345 1000000000000000000 119790574 73402494 42896844 101492575 1000000000000000000 752905018 235934514 403556870 163254845 1000000000000000000 382065563 123488535 41590501 99550657 1000000000000000000 120507571 86929281 70579304 70920871 1000000000000000000 253371577 95977603 224987916 66072551 1000000000000000000 552148639 41791662 442984197 339560635 1000000000000000000 560138430 135804838 446563832 68806233 1000000000000000000 283547901 217750562 122423245 71127291 1000000000000000000 167158031 155566165 148555699 17709893 1000000000000000000 558126723 514451557 166407794 123382371 1000000000000000000 374424075 112267731 284562190 98160595 1000000000000000000 599452044 20750517 458260594 33297609 1000000000000000000 617182630 121178412 382434733 255781246 1000000000000000000 66421548 43321478 10566678 27742242 1000000000000000000 24842791 7465115 14024006 11437908 1000000000000000000 891167025 413572141 264701449 352161501 1000000000000000000 77721930 17357780 36514514 32462017 1000000000000000000 103766985 66501876 38766099 68626774 1000000000000000000 516667082 18837505 373221951 493415900 1000000000000000000 67102544 53225006 17742939 15867315 1000000000000000000 270429481 197799347 117365416 69594830 1000000000000000000 428539365 387285922 273529088 81500623 1000000000000000000 575898900 413687568 388134354 416359670 1000000000000000000 480722457 231274147 420828458 448044497 1000000000000000000 183176028 65020118 114484797 3006608 1000000000000000000 80064536 65154861 35341837 70525114 1000000000000000000 723011199 197605395 133799099 437159284 1000000000000000000 443905981 436917579 115594710 343845980 1000000000000000000 278195047 34603548 268309026 22752813 1000000000000000000 116039677 110103774 4553614 74785344 1000000000000000000 331238341 183629936 22687549 145821839 1000000000000000000 224189791 174594912 171744192 94710260 1000000000000000000 142788365 83541386 2625916 103072858 1000000000000000000 230688857 150120885 189157260 155460326 1000000000000000000 143923483 30854582 80584545 64401660 1000000000000000000 546388860 167765458 240860444 16795545 1000000000000000000 376484111 159592335 313282658 352956178 1000000000000000000 625804468 560743362 192927637 335359638 1000000000000000000 784066208 613540218 259689875 514778958 1000000000000000000 910015750 267823274 777918641 515115796 1000000000000000000 301297273 33774378 135009292 43832727 1000000000000000000 817096742 103934378 52408136 628695069 1000000000000000000 759877384 472306691 701013133 396349321 1000000000000000000 637027460 372777237 549222196 74981949 1000000000000000000 510275945 408126066 86360899 316933514 1000000000000000000 478311718 415288411 264493310 337057091 1000000000000000000 265884278 44988075 183254749 238254963 1000000000000000000 628767368 93605092 396199918 36379797 1000000000000000000 250824915 148064451 143001910 128653630 1000000000000000000 168628284 25044519 3803826 57586146 1000000000000000000 778414232 140254860 59036766 306992653 1000000000000000000 139707295 1874141 82312030 40548943 1000000000000000000 923658126 398539776 280556023 97412198 1000000000000000000 180853546 131437712 47691610 121884084 1000000000000000000 790220883 379674671 742365318 542653588 1000000000000000000 715895039 521170075 151010208 662584337 1000000000000000000 646724685 424774741 400051738 214213207 1000000000000000000 757930518 68932590 129936852 25121246 1000000000000000000 939620273 160739577 636795251 536372900 1000000000000000000 850987371 291864754 521984934 739005486 1000000000000000000 294502137 121077292 233834635 45151205 1000000000000000000 129327457 22071076 111259533 57123808 1000000000000000000 955981354 954385982 524886292 118612879 1000000000000000000 227250630 220538957 130497856 191726340 1000000000000000000 643460901 641930840 643460128 312996749 1000000000000000000 620772212 548523436 312020832 602345250 1000000000000000000 652730079 138851045 469087641 253789775 1000000000000000000 824493114 371249949 347427301 143879502 1000000000000000000 780958555 514282291 715365547 158958854 1000000000000000000 240275951 127222251 154970998 16370371 1000000000000000000 513095710 127236051 507583864 59428760 1000000000000000000 176078830 105412405 169637035 37697519 1000000000000000000 680194342 185000382 393816837 99066343 1000000000000000000 63338716 19331379 58615541 52556427 1000000000000000000 410013309 132627899 125234391 155441904 1000000000000000000 196427720 27943817 126854166 113061720 1000000000000000000 416590727 221453898 75150776 177084733 1000000000000000000 21611221 11801365 10046488 21298734 1000000000000000000 231359860 112331844 17054741 57564100 1000000000000000000 636159111 557040012 583622056 201333503 1000000000000000000 693154116 106869146 516818921 382192914 1000000000000000000 135882106 45050711 129237000 56995571 1000000000000000000 672049444 101802277 51836986 129789004 1000000000000000000 63276695 15316599 10224403 22134674 1000000000000000000 753492934 33395095 154105703 733390866 1000000000000000000 258490129 94829299 202077517 434719 1000000000000000000 453445547 147080583 116565619 303958961 1000000000000000000 284700120 161165584 249066138 186875583 1000000000000000000 419698315 360915532 174614386 301178188 1000000000000000000 739145703 14449067 504711978 637609383 1000000000000000000 827910524 440823727 460133726 290062993 1000000000000000000 706448879 454129132 122129924 407809992 1000000000000000000 508752743 13012814 190680040 20427059 1000000000000000000 678959868 450237891 279043472 67660191 1000000000000000000 275593971 111936687 218016820 18250199 1000000000000000000 873610417 17125274 280904667 353521214 1000000000000000000 14062916 5201078 146372 2951676 1000000000000000000 872804382 537122185 469145022 106581947 1000000000000000000 792156959 402550778 590655962 707394421 1000000000000000000 29653716 10067136 4253182 20096266 1000000000000000000 136109694 63248000 35728275 133886627 1000000000000000000 468354120 392493834 275446626 405460189 1000000000000000000 458557772 52073689 53611593 372908097 1000000000000000000 50475069 37783761 15749341 24982844 1000000000000000000 984995650 37446713 870084383 403655863 1000000000000000000 502459160 112553051 237802730 267028703 1000000000000000000 442297781 56731216 6311832 18334058 1000000000000000000 499510702 349926355 318736220 53063402 1000000000000000000 479106025 444054485 123609916 302497367 1000000000000000000 108119551 43047728 88082239 42480011 1000000000000000000 129315136 63741563 24359219 3394432 1000000000000000000 586992425 452075396 527729128 23738198 1000000000000000000 666144939 346229351 210155122 640231273 1000000000000000000 338227365 39041575 215688474 76806260 1000000000000000000 983149243 819728379 21896364 130697246 1000000000000000000 456892835 421006524 27490408 418791189 1000000000000000000 667974537 8124653 289960094 418967873 1000000000000000000 955722064 626502800 90878417 255739776 1000000000000000000 483582717 96050443 311598162 70849607 1000000000000000000 327686564 227570015 74616691 157777310 1000000000000000000 303301096 102399423 31097282 47365474 1000000000000000000 128687747 58875328 11535073 123627136 1000000000000000000 478260690 258537537 38448715 472098591 1000000000000000000 64224433 40453212 38984901 38731522 1000000000000000000 668626954 254646030 398035915 227328708 1000000000000000000 252406760 174748093 216226614 29839664 1000000000000000000 873282649 393038460 476507701 763058745 1000000000000000000 194836251 187239992 43361687 114345644 1000000000000000000 297030072 204275414 242633757 18465353 1000000000000000000 801650056 689599695 176200236 554949117 1000000000000000000 442028345 211495215 253068122 394510098 1000000000000000000 803382151 472860263 222625853 209796529 1000000000000000000 398802243 51228860 137919615 216794049 1000000000000000000 221579311 201161063 93014121 126750650 1000000000000000000 772058890 178539 312349692 757157874 1000000000000000000 337121710 289893302 61156482 186849831 1000000000000000000 278978922 31609062 193117224 44844644 1000000000000000000 690888049 139483690 434200482 261314663 1000000000000000000 804021072 558587992 198253723 284360463 1000000000000000000 476828178 31338052 244280729 285154505 1000000000000000000 487186048 123740223 75113796 377037785 1000000000000000000 968156193 410544561 633341829 908545932 1000000000000000000 183726037 24124879 78704545 72995372 1000000000000000000 90914965 7842034 55043531 75163436 1000000000000000000 484790751 286859093 63299648 167509411 1000000000000000000 154186567 112696270 28101529 139758386 1000000000000000000 224489976 179603888 44629427 16820178 1000000000000000000 632349752 471837562 179472855 108534942 1000000000000000000 892955370 688630578 587985131 728820330 1000000000000000000 173569048 59047461 34605429 118772956 1000000000000000000 546522933 130152085 112609081 440768696 1000000000000000000 159188473 35315636 148194928 66675990 1000000000000000000 53918007 36461332 53760249 27516888 1000000000000000000 21880356 16252492 9727761 3861791 1000000000000000000 264577875 256027463 89740666 187253529 1000000000000000000 830599800 578403194 37090185 642817791 1000000000000000000 174878395 157303903 149751158 151592976 1000000000000000000 693459228 523677406 106020843 445364749 1000000000000000000 27202380 23375512 17140516 11806114 1000000000000000000 616444095 434982619 604817239 457115688 1000000000000000000 198355726 7474064 33323712 17729795 1000000000000000000 846996374 203220613 393523390 385991556 1000000000000000000 640566161 418470946 459336786 368259541 1000000000000000000 486590236 226572298 196088356 430001087 1000000000000000000 399138089 70361358 278580095 201705675 1000000000000000000 656059187 567410579 654541835 354374010 1000000000000000000 691692196 685241969 197086659 662450804 1000000000000000000 532196357 232284388 358932760 193610570 1000000000000000000 255373515 76979956 208276335 160254040 1000000000000000000 741023516 664144793 244342232 427839720 1000000000000000000 893233266 779490686 843669509 483656339 1000000000000000000 802874039 682401384 133842502 450656311 1000000000000000000 267319435 13348237 213801692 107380136 1000000000000000000 222871112 107755938 172354231 103866185 1000000000000000000 827744780 426250804 623844675 225384033 1000000000000000000 494376542 437729106 217129494 25316372 1000000000000000000 157904476 29093976 98173142 116380878 1000000000000000000 617366537 219340180 277331977 329452838 1000000000000000000 427723091 111024596 423538370 165295777 1000000000000000000 654677171 502105492 371581655 375218500 1000000000000000000 243493479 58304458 153081050 63707595 1000000000000000000 72801211 11701532 32517272 12589308 1000000000000000000 911416475 596587946 532383982 495228432 1000000000000000000 755538441 494813801 540466757 751452652 1000000000000000000 328540462 248966785 302693296 94641704 1000000000000000000 749033597 456182416 238241697 296296873 1000000000000000000 926692761 247248133 294862053 12314150 1000000000000000000 295325474 112443990 157257703 81934034 1000000000000000000 163729443 2363612 27215720 12833749 1000000000000000000 30855138 1127999 19691288 27238808 1000000000000000000 333094158 250142117 40787628 253679531 1000000000000000000 920948543 775399871 633000035 439101654 1000000000000000000 959116065 496609400 494222412 326978821 1000000000000000000 741435383 274493674 246009576 733232423 1000000000000000000 320423598 299029671 125058800 157680608 1000000000000000000 221311455 201225409 61713983 197446050 1000000000000000000 452262371 404952038 167679413 62885988 1000000000000000000 821225076 748538516 166778593 299713443 1000000000000000000 388287095 48198416 195576538 327544080 1000000000000000000 824136973 269721668 256716087 229910384 1000000000000000000 634049062 89415370 528674494 162109417 1000000000000000000 729595246 518259303 404703221 83484156 1000000000000000000 970511673 406127350 223964233 643803549 1000000000000000000 698590978 606154060 636528965 422158993 1000000000000000000 817543482 596542646 162430196 13377137 1000000000000000000 294310148 15925449 75470903 220589875 1000000000000000000 901193183 421161312 442754796 749461264 1000000000000000000 470563727 385204109 75064949 113963998 1000000000000000000 138596264 70611654 104093066 92538641 1000000000000000000 145064616 11432452 30169035 30340432 1000000000000000000 494618812 122614151 399964236 262679200 1000000000000000000 156321925 153944622 132154924 81878088 1000000000000000000 69278156 629651 49008346 31364403 1000000000000000000 872198444 149605533 124939654 686380039 1000000000000000000 456622748 157347119 245751004 170689671 1000000000000000000 446723500 210085801 98935072 212906543 1000000000000000000 346899397 336453089 317447904 126887607 1000000000000000000 58493108 8712909 18153211 24839140 1000000000000000000 294718443 159876904 102031844 28633033 1000000000000000000 190438389 93255328 17847860 50952861 1000000000000000000 682493067 355743384 366575747 546125638 1000000000000000000 22768755 2578215 3295466 5515862 1000000000000000000 721909105 618614718 180456341 546402866 1000000000000000000 441108768 229683053 411745457 132553754 1000000000000000000 345273378 271870408 44660179 21615017 1000000000000000000 607938020 267352282 554366823 388829995 1000000000000000000 512127807 12396429 64429770 478018268 1000000000000000000 632160167 471210123 351680443 384692657 1000000000000000000 848278742 97253344 831578184 740776411 1000000000000000000 149747227 54632451 1770905 70707977 1000000000000000000 414126929 309992499 365949386 268413654 1000000000000000000 392856545 207178762 8344903 335576161 1000000000000000000 42170015 39229153 35384118 613149 1000000000000000000 951434163 698013529 292536257 937844971 1000000000000000000 890112368 682364689 247125006 711690760 1000000000000000000 959191350 157353662 899236675 22278732 1000000000000000000 569708565 251739580 233384044 276882411 1000000000000000000 459989378 43252576 143959450 241875268 1000000000000000000 669888797 487772735 523633280 426651906 1000000000000000000 153824074 5836725 34013218 20291698 1000000000000000000 261204410 240761354 211510435 64823335 1000000000000000000 670990870 38351437 350564395 45185186 1000000000000000000 980246691 823152469 706303519 187246921 1000000000000000000 191048983 177659163 115254181 77017649 1000000000000000000 92384858 52114425 12952978 62895015 1000000000000000000 262863156 233193665 40533494 133234039 1000000000000000000 157923528 35410791 140773835 87265940 1000000000000000000 556646716 237610449 242955862 215356998 1000000000000000000 676347826 457829239 611190095 154790549 1000000000000000000 150410326 101760552 7450525 98606508 1000000000000000000 269724296 182139346 100531997 173203733 1000000000000000000 529718850 103008640 58011666 20665472 1000000000000000000 99638228 56735268 18544350 49850345 1000000000000000000 143433989 79352012 41766520 62500387 1000000000000000000 875823243 414333023 646883894 32652011 1000000000000000000 571715266 381529408 368550335 115926502 1000000000000000000 833494623 713175354 386012896 117924093 1000000000000000000 1051718 353364 1044409 330378 1000000000000000000 966717387 417223141 764534626 192948951 1000000000000000000 537313690 304088352 32886376 97271025 1000000000000000000 574906190 276952917 236150204 428349674 1000000000000000000 516356541 181695910 508908490 77856277 1000000000000000000 839918553 274281571 838453568 776939494 1000000000000000000 930659219 851589604 349971774 463388510 1000000000000000000 778050062 353125136 53891077 284615911 1000000000000000000 823700462 161121803 732036662 458901413 1000000000000000000 820081658 694784893 428484365 41713892 1000000000000000000 41434415 27026686 35426022 33016207 1000000000000000000 500328870 139192281 72271989 401297164 1000000000000000000 153811798 78058513 130562613 44318077 1000000000000000000 843269019 350229841 731262288 183932836 1000000000000000000 341406806 196178675 207854486 15763840 1000000000000000000 587544988 37956838 473134780 56149585 1000000000000000000 903285152 658364795 472354211 797584775 1000000000000000000 32451877 26570210 22656631 31374326 1000000000000000000 464137657 82470425 138740639 188043432 1000000000000000000 983833053 43825114 692208485 119766427 1000000000000000000 35105121 4108930 12070755 31643915 1000000000000000000 912901128 688312842 748607278 270954470 1000000000000000000 509095904 57536696 230597256 307778286 1000000000000000000 470551778 4966044 83381263 343541806 1000000000000000000 371578453 305455076 192664757 146803141 1000000000000000000 704390512 53202413 573782587 509884029 1000000000000000000 691085756 541358042 400853050 289819817 1000000000000000000 593003127 472114699 74174167 310625 1000000000000000000 397325822 116507328 145537473 46124944 1000000000000000000 738322229 468683491 485477894 167508647 1000000000000000000 396474710 135057564 180698226 323086408 1000000000000000000 388382610 221838172 34653729 198816238 1000000000000000000 395113663 319627094 59996645 341605518 1000000000000000000 628876867 284715810 30667801 569404032 1000000000000000000 983760525 458355745 417180861 115308065 1000000000000000000 280528789 36897386 137477235 266832525 1000000000000000000 105122355 5710044 22235727 36903149 1000000000000000000 942200920 323674624 383198323 550632098 1000000000000000000 808732749 399032500 268298254 383601427 1000000000000000000 70871201 44155100 55204938 68674424 1000000000000000000 101001041 81832390 22614110 89469043 1000000000000000000 107831858 46927209 25192369 25737630 1000000000000000000 13299332 494704 8562885 4280657 1000000000000000000 134829761 41341615 115135890 104625493 1000000000000000000 923167691 178934762 144166214 769163235 1000000000000000000 109751335 67610206 7552721 30503016 1000000000000000000 899280846 600920390 59900953 18779256 1000000000000000000 11925226 6988066 6499657 8922386 1000000000000000000 892580218 594106652 357752609 285632448 1000000000000000000 812117243 153882045 88243239 125994288 1000000000000000000 644973014 416024382 69183513 107970570 1000000000000000000 23173951 20742167 22203519 13240329 1000000000000000000 197786939 152502073 37931984 100375901 1000000000000000000 753510483 737013972 297502260 498211072 1000000000000000000 348659759 278421343 74780347 322244023 1000000000000000000 211473231 34012952 12172767 137618304 1000000000000000000 768416808 306296401 163687783 197687955 1000000000000000000 71090557 10781994 29277262 58778476 1000000000000000000 338448742 35174225 291340866 65243465 1000000000000000000 509533615 39048842 109180399 214878530 1000000000000000000 131863726 10011649 49238696 7121137 1000000000000000000 644378215 259564059 558270940 90870100 1000000000000000000 922453502 662487944 578524521 419840325 1000000000000000000 763392677 540135480 512701761 129929577 1000000000000000000 479218095 34711322 161763630 119308335 1000000000000000000 482343011 358359118 147414780 114566220 1000000000000000000 73380539 44747051 25729648 66562904 1000000000000000000 154850238 19373822 35820450 123810658 1000000000000000000 633699259 505948284 362290776 332099453 1000000000000000000 437788642 363949982 187024390 58414191 1000000000000000000 186297218 44540795 119493979 163952730 1000000000000000000 267980313 220250581 54768410 220506546 1000000000000000000 816567774 31108176 527193242 315042170 1000000000000000000 612058827 284588373 20802723 479130611 1000000000000000000 391740086 36258382 100096581 24070585 1000000000000000000 760119859 332788026 456484028 148195031 1000000000000000000 231441324 22127278 177963960 116444371 1000000000000000000 228257921 33541538 85532958 3638356 1000000000000000000 39478006 31334262 5790861 8977322 1000000000000000000 343538712 159682086 155466527 243272032 1000000000000000000 657184561 71617239 343648401 518949678 1000000000000000000 8130158 2556332 2036590 1582554 1000000000000000000 722536911 405220187 590701220 337220895 1000000000000000000 981690382 850432105 152226003 880607332 1000000000000000000 444665816 168222873 200817227 236065863 1000000000000000000 223441664 170973446 17814464 26735324 1000000000000000000 768548717 414869891 390159752 8137850 1000000000000000000 396778704 263418948 386704444 56309075 1000000000000000000 364314013 106041849 88053026 2177817 1000000000000000000 51825770 46128519 42051862 8010675 1000000000000000000 966197802 32587425 660799610 799502606 1000000000000000000 788725338 783337313 291912073 253112816 1000000000000000000 916364187 274084658 675877928 49035807 1000000000000000000 918879183 354517289 39810294 761474851 1000000000000000000 472519065 278266917 344760604 99119171 1000000000000000000 158718403 151411767 123475825 34340940 1000000000000000000 254690288 132336736 225492067 6991860 1000000000000000000 483431709 175523585 335330321 250922343 1000000000000000000 119240662 12765611 117036725 115655319 1000000000000000000 638173924 570488720 554515305 517085024 1000000000000000000 189604023 46900484 147580559 127013569 1000000000000000000 876213273 119203364 432456656 740246855 1000000000000000000 860258706 380156088 108253723 379219369 1000000000000000000 628266457 403088956 588479078 493960474 1000000000000000000 102388317 100778968 69146626 71770009 1000000000000000000 546446269 332501444 264732033 237850329 1000000000000000000 185585104 164741104 118228161 102339513 1000000000000000000 543936510 200449787 349077401 500451059 1000000000000000000 366486325 82702644 50081783 191913153 1000000000000000000 166887242 52138523 128699329 139453288 1000000000000000000 457062559 226724829 97959240 28378462 1000000000000000000 380365897 257104157 142319650 282616161 1000000000000000000 460425595 363188205 419972335 357772717 1000000000000000000 87972158 64163589 4622961 11865661 1000000000000000000 849112293 792337556 776115368 724124066 1000000000000000000 930852868 130574165 59507599 515440138 1000000000000000000 609903928 27978594 48514747 477518526 1000000000000000000 295724658 187369644 149041229 140963536 1000000000000000000 202119558 185782014 75585072 193937725 1000000000000000000 557463371 24995809 304697939 341173144 1000000000000000000 214202351 27855070 140730297 145940417 1000000000000000000 690273706 515328217 258910621 689305693 1000000000000000000 708502698 309372113 316097018 352711702 1000000000000000000 792951281 93570055 207095192 499469305 1000000000000000000 815136534 251229330 565023265 800096471 1000000000000000000 24429923 14894754 13547840 15895526 1000000000000000000 140850209 63796472 116352532 137758299 1000000000000000000 14668904 9956846 2757159 11446439 1000000000000000000 683842876 316962360 175016091 310182703 1000000000000000000 608184956 462631817 549191037 554989950 1000000000000000000 723742754 296795572 654087604 50883631 1000000000000000000 417155560 287860695 71058061 212836925 1000000000000000000 380561914 134229637 335403577 24022556 1000000000000000000 915364481 223881938 486410951 128664134 1000000000000000000 927342372 268367847 345949321 706360046 1000000000000000000 806126764 788684608 112061083 686756262 1000000000000000000 529618371 67923873 455772524 446073823 1000000000000000000 262846284 258513962 169293651 219607834 1000000000000000000 147604933 85402934 55771258 51341149 1000000000000000000 497895534 332425585 209965020 465248675 1000000000000000000 627922275 352467474 329817868 427722628 1000000000000000000 655898399 578201843 284477916 615573656 1000000000000000000 722572530 148899725 312243301 505243096 1000000000000000000 774749859 674817694 203665775 296157184 1000000000000000000 220715055 94630659 91598612 46488163 1000000000000000000 346343933 14686475 297509200 194449671 1000000000000000000 297383568 170281905 25493960 176096162 1000000000000000000 23798158 23768498 3333312 5548980 1000000000000000000 999985974 487312142 656205258 163495408 1000000000000000000 787042139 111695106 18926127 464871752 1000000000000000000 473333743 129400644 430338641 150620400 1000000000000000000 810835412 115795666 333392660 534796849 1000000000000000000 662574824 3296741 62518944 100773998 1000000000000000000 985970103 556824224 565925573 183854087 1000000000000000000 295569990 199670243 68523192 259803089 1000000000000000000 772101525 236608092 32881508 728117043 1000000000000000000 233732569 55618324 119684226 155890960 1000000000000000000 528649147 183907153 180419890 275820229 1000000000000000000 567622959 184416267 541679991 191315843 1000000000000000000 103193436 18638198 75728304 35244697 1000000000000000000 685728492 202425532 485479427 412950383 1000000000000000000 889321101 451277828 628505050 543741960 1000000000000000000 32393292 18064241 20229625 19946576 1000000000000000000 760968090 726261187 241018407 324052633 1000000000000000000 998341800 664384403 542119053 222081156 1000000000000000000 829029432 479401031 620519007 376272936 1000000000000000000 315205328 46472629 268690316 60256227 1000000000000000000 482598639 165305307 34935389 261520647 1000000000000000000 141284573 114670023 125645760 109253281 1000000000000000000 804263719 611659092 96164775 761426597 1000000000000000000 305625114 182343492 132016304 13094286 1000000000000000000 432046255 6651194 34557902 53484241 1000000000000000000 959968920 593387667 890107594 816152615 1000000000000000000 947318199 100856185 939504659 313909877 1000000000000000000 908904540 848793537 861223461 303948006 1000000000000000000 855229115 762430932 222121290 251474490 1000000000000000000 474598751 147526717 237485843 292726606 1000000000000000000 906867339 558511436 795877150 60598473 1000000000000000000 130221074 83776316 62448203 46834607 1000000000000000000 944046880 706206038 840147014 368413038 1000000000000000000 430669416 316166486 176064704 91844114 1000000000000000000 984614309 975009192 327781043 718109690 1000000000000000000 326168282 315430427 95935864 242852957 1000000000000000000 916792395 146949455 393261159 38567356 1000000000000000000 966122635 390092205 698545378 383678255 1000000000000000000 733765811 99981723 248709909 268129573 1000000000000000000 724270846 79200615 499813658 380037621 1000000000000000000 320795638 12625974 206494607 299479642 1000000000000000000 994549079 903189063 355623669 800416754 1000000000000000000 238593727 117762266 196443115 138112324 1000000000000000000 261798718 237668316 186786465 4107409 1000000000000000000 395159185 364489271 394053131 35291032 1000000000000000000 749647858 209095145 127765776 636131568 1000000000000000000 627104915 473398505 304018256 280538302 1000000000000000000 775000970 724018998 449567528 222630851 1000000000000000000 636399793 635353746 263502493 16652674 1000000000000000000 397820673 273481293 213790633 329311565 1000000000000000000 548090397 538194792 357956946 92992787 1000000000000000000 274897251 221732157 135323395 268673697 1000000000000000000 324162158 206314086 299680634 250382135 1000000000000000000 848973135 97328564 750133060 118405860 1000000000000000000 250150472 99027631 249442354 54583622 1000000000000000000 316315213 98310898 14461922 143926721 1000000000000000000 451579485 3584712 126289039 194119368 1000000000000000000 264037592 244745330 140436386 210702878 1000000000000000000 641021325 423488159 360573215 180201624 1000000000000000000 198872519 11581013 115538724 152517030 1000000000000000000 394639415 342668959 168447525 68171155 1000000000000000000 118739515 101129020 58157974 27290302 1000000000000000000 628858784 216919089 125488092 433536956 1000000000000000000 591420348 370278383 519912838 443735487 1000000000000000000 456785896 191451775 191079872 339107417 1000000000000000000 111886379 44995438 13142149 78632923 1000000000000000000 466329697 146818193 225443991 237004118 1000000000000000000 932155110 852813830 545811933 416545264 1000000000000000000 824856246 458195990 405107923 359791734 1000000000000000000 634147460 95117946 375246545 10978479 1000000000000000000 836418202 680529278 279851797 78332229 1000000000000000000 158121707 120971785 103534987 53745034 1000000000000000000 155613844 9964607 82605762 22340503 1000000000000000000 141879868 50769761 57228405 29400829 1000000000000000000 296530653 106505454 118189582 216260314 1000000000000000000 595174879 207851364 289790585 2291245 1000000000000000000 54401888 8011662 14843407 1335076 1000000000000000000 579658749 14180 90516413 383706271 1000000000000000000 202051017 131167431 55634352 86448247 1000000000000000000 224479106 210276966 221776433 212083579 1000000000000000000 219641026 11458845 9248352 125868183 1000000000000000000 749051330 94752490 325407572 175695707 1000000000000000000 287409598 263256686 108054439 136960018 1000000000000000000 394237142 310242207 312853643 236115299 1000000000000000000 512150929 484015537 443050565 471592103 1000000000000000000 270584767 60577897 58047690 19632972 1000000000000000000 509782783 282248450 192019629 7842735 1000000000000000000 443317337 8870413 162045473 17311805 1000000000000000000 755086837 746588352 87256183 732412561 1000000000000000000 459254946 449932913 179996133 443193153 1000000000000000000 255338808 81284732 60983211 108983989 1000000000000000000 867583590 446887372 818843355 239691238 1000000000000000000 781488206 733536550 726656047 364585161 1000000000000000000 667934252 380315794 573034780 639511136 1000000000000000000 278703692 138296734 220515045 33544163 1000000000000000000 617488879 282816570 58086966 105933522 1000000000000000000 410570303 147156750 149586843 143882392 1000000000000000000 315826112 62842458 307968301 181444966 1000000000000000000 304187852 860049 196417267 179612360 1000000000000000000 834104722 81695376 311694823 813891835 1000000000000000000 246483742 52380186 22622285 65102941 1000000000000000000 226820766 222990411 221421156 200552119 1000000000000000000 996247124 604406556 761086529 286034397 1000000000000000000 493645394 201408581 38541860 343752094 1000000000000000000 337865852 185748917 302280544 223589354 1000000000000000000 412504892 109418722 271975594 150609190 1000000000000000000 637149429 41897507 329707182 34289654 1000000000000000000 122627641 110152829 34374573 14644931 1000000000000000000 623544405 411622132 477083462 274549601 1000000000000000000 287821945 135741246 142815434 128234485 1000000000000000000 400892037 16379318 272228738 109536757 1000000000000000000 827977838 323271589 282076575 673981254 1000000000000000000 76153426 9092567 18654050 37093809 1000000000000000000 917916909 122021248 618731268 837025981 1000000000000000000 329009763 31766377 274921897 232119029 1000000000000000000 939927609 866443508 257880601 785028024 1000000000000000000 959571535 131774216 380242906 913880180 1000000000000000000 560662208 480774028 483231873 271100252 1000000000000000000 118818541 73443174 14369878 28481072 1000000000000000000 104281111 66649266 18880976 96104418 1000000000000000000 269940304 65132785 202100021 125980688 1000000000000000000 320217874 255914654 9572112 71627686 1000000000000000000 121089317 79435076 97002513 48506298 1000000000000000000 631979737 523428297 185018619 34286953 1000000000000000000 319169309 136335973 96074770 112131553 1000000000000000000 702129591 656265657 522314790 535747497 1000000000000000000 256760688 235298247 249086761 102097150 1000000000000000000 935120085 859464463 216702494 157840466 1000000000000000000 833095410 601497064 828509531 533785395 1000000000000000000 234016025 29509788 3846104 94502780 1000000000000000000 800332914 383578725 337983242 793090165 1000000000000000000 846086828 86198395 128586300 86920686 1000000000000000000 950033801 885090784 473272835 434209649 1000000000000000000 906466154 95078108 677647407 474801413 1000000000000000000 843609749 584841068 84332910 11068368 1000000000000000000 798257368 536640729 394668259 656733322 1000000000000000000 660082761 215872699 158664587 44004176 1000000000000000000 157542407 118649058 143959924 60639419 1000000000000000000 452201829 349035174 447891505 189597406 1000000000000000000 455115149 430956520 140556219 118072364 1000000000000000000 796980544 725745778 103785741 615060572 1000000000000000000 261479016 54565650 49224598 242254668 1000000000000000000 555250213 188171702 185325634 536999775 1000000000000000000 358932475 183324801 97076240 73647696 1000000000000000000 662259916 653389612 8317452 16082134 1000000000000000000 977917639 14342141 107554137 467430598 1000000000000000000 533860869 263730992 113445513 351953212 1000000000000000000 907881865 481170400 183756230 554864317 1000000000000000000 408577525 93184483 133621857 302036785 1000000000000000000 13701587 1443841 6390697 9755659 1000000000000000000 304068384 215734375 82282357 115420424 1000000000000000000 839862813 764706973 227759216 268523488 1000000000000000000 444602196 421091224 118856322 276719785 1000000000000000000 740959940 483135140 446739964 547650903 1000000000000000000 727940810 222217542 295555721 498268934 1000000000000000000 301296135 69790248 49605903 77055373 1000000000000000000 299863395 190618752 118114351 210479945 1000000000000000000 575701940 114102118 162246739 56031755 1000000000000000000 755359322 404953973 99071000 551442475 1000000000000000000 584654799 412835641 441563515 196533418 1000000000000000000 9344592 5344704 5915061 63167 1000000000000000000 493355805 483505343 361705361 378963069 1000000000000000000 456052743 53743314 278704375 70243712 1000000000000000000 448416995 126853723 65826922 331268637 1000000000000000000 852292101 483020812 277456315 751469911 1000000000000000000 771178921 115688957 731868416 515645910 1000000000000000000 790801609 209046144 327852148 35523111 1000000000000000000 577412167 377945344 468187144 531037684 1000000000000000000 728412278 356671228 318988840 24015901 1000000000000000000 166827133 155142086 18685825 40400436 1000000000000000000 251025634 233005190 209132932 196921978 1000000000000000000 759789506 694404759 543658744 728817687 1000000000000000000 726039090 191305170 702960620 66150765 1000000000000000000 729613430 623364314 104742366 410255399 1000000000000000000 172769602 3492971 84526045 165397270 1000000000000000000 18784842 2774029 2460951 18669251 1000000000000000000 938652799 420108011 133219165 718039489 1000000000000000000 878253289 460905754 217234227 825250096 1000000000000000000 456978247 169223365 263207903 125360249 1000000000000000000 851849256 733266824 381214926 596125120 1000000000000000000 940554135 930210075 681629405 563372261 1000000000000000000 691037261 632840125 244660672 34907335 1000000000000000000 467461591 383551547 144774794 85018929 1000000000000000000 110282683 16172877 58509847 95527425 1000000000000000000 65575933 8879233 16313532 53111950 1000000000000000000 332313352 178025215 88712855 180786161 1000000000000000000 751164036 201911960 535579705 655460907 1000000000000000000 421570119 164888462 287597412 416184375 1000000000000000000 381900515 231398208 362710630 369160084 1000000000000000000 436783623 338191626 184066699 203386202 1000000000000000000 698276326 83284606 481349010 7495448 1000000000000000000 576488987 199286455 262213777 416591107 1000000000000000000 168997868 45267421 53856735 137027009 1000000000000000000 151870047 27202654 71345112 125504270 1000000000000000000 358270827 111782729 221518353 143764367 1000000000000000000 959031116 363444758 124758388 212112732 1000000000000000000 595028919 66464618 525829893 386381595 1000000000000000000 28745879 1246305 13779367 16000320 1000000000000000000 670616176 248423791 183119181 414254424 1000000000000000000 659505312 367876208 479459175 656011249 1000000000000000000 802075645 590452662 509615180 486973723 1000000000000000000 37778041 5988171 4440304 5824906 1000000000000000000 353005251 44406358 188122505 32877386 1000000000000000000 615375805 392568464 532648793 15557944 1000000000000000000 381902228 358688894 344248208 223348975 1000000000000000000 430933009 187541331 423563278 409218222 1000000000000000000 600951163 124237095 296420884 308973282 1000000000000000000 118442487 111816326 39199193 47167441 1000000000000000000 407344005 291626990 100566670 239890726 1000000000000000000 674019369 534695762 197984827 85164583 1000000000000000000 351669941 227047302 272475368 149137905 1000000000000000000 156511078 68056389 115444998 41070411 1000000000000000000 171066270 148257038 47175479 155648329 1000000000000000000 425089187 242001438 18872000 358860848 1000000000000000000 702080194 426982014 225704100 3726984 1000000000000000000 357611 258354 307022 332610 1000000000000000000 264833415 251196599 155100573 134770863 1000000000000000000 115266926 106790372 87812308 88635268 1000000000000000000 821436339 585598466 644740787 711101864 1000000000000000000 197493325 12595373 165414154 97550155 1000000000000000000 876232667 605877772 835352257 143708399 1000000000000000000 166739138 9408287 86259505 70726222 1000000000000000000 565113777 232986291 426334752 198755795 1000000000000000000 396911118 115477915 317898590 156445632 1000000000000000000 642727616 540435781 27967949 416190120 1000000000000000000 956725313 830053799 443058882 873050184 1000000000000000000 515711191 295792180 338135030 411945068 1000000000000000000 283963087 188269342 278708842 11341029 1000000000000000000 28965021 5447420 1081628 2565618 1000000000000000000 610153449 110815711 375162125 426384129 1000000000000000000 327981478 98011395 207582917 312538986 1000000000000000000 748857662 727854258 740219425 327188143 1000000000000000000 858138742 592704383 403054807 731960351 1000000000000000000 415791293 296633138 27089323 294132594 1000000000000000000 727028642 531955724 545616250 2530521 1000000000000000000 740778315 550406965 571370251 85064936 1000000000000000000 602752520 589665614 458011641 341662237 1000000000000000000 60885570 45610247 16061308 34613202 1000000000000000000 359070310 35372545 232065506 304615017 1000000000000000000 654836531 51476725 68934265 96593374 1000000000000000000 783994902 555312775 328125551 653581792 1000000000000000000 885945535 59714146 108819942 129763470 1000000000000000000 672828728 41628783 385714930 364720128 1000000000000000000 18154449 14630949 13892478 5650121 1000000000000000000 447351804 424420709 382233933 34928099 1000000000000000000 773917941 657071284 164682205 313717398 1000000000000000000 649240017 250447585 630209554 267891511 1000000000000000000 247322007 74007787 130891233 174332816 1000000000000000000 295568205 166797212 231129440 188762248 1000000000000000000 187346523 161216748 180561374 153630706 1000000000000000000 253447850 125580390 225236485 127418862 1000000000000000000 142870030 22209100 123724768 91181977 1000000000000000000 561682570 363255030 113504835 537056317 1000000000000000000 970099757 429467959 163404279 129327795 1000000000000000000 139231424 30059572 123900643 119051969 1000000000000000000 515641541 229122177 339945828 195993231 1000000000000000000 530281025 359979226 314330706 38032143 1000000000000000000 537476084 349779287 228857071 399058169 1000000000000000000 878224526 568315992 478728168 116163009 1000000000000000000 268588478 9276853 241347823 169382417 1000000000000000000 1199585 1148534 917179 52210 1000000000000000000 3095218 1683952 1967673 1630677 1000000000000000000 600633972 310284564 12307872 203858384 1000000000000000000 204648600 44551416 116431747 112749416 1000000000000000000 249397801 176742659 175088219 26004045 1000000000000000000 734521179 394556451 232765402 314782680 1000000000000000000 525145547 376273267 53892466 71149190 1000000000000000000 760636925 543837250 430488297 11900998 1000000000000000000 890330220 253118346 197862962 348711034 1000000000000000000 414577883 4307762 36518084 358407886 1000000000000000000 925604827 268632833 558813263 155938144 1000000000000000000 873035408 820488148 83429534 850364993 1000000000000000000 772602131 472006336 103370655 412272108 1000000000000000000 808739636 367629152 26276844 397508138 1000000000000000000 319870410 142591189 206967775 49627423 1000000000000000000 463998440 209902616 288202121 201914324 1000000000000000000 553354295 90552476 544921560 324954491 1000000000000000000 324686753 87416119 46652936 277086144 1000000000000000000 858229080 805084400 470161579 240456728 1000000000000000000 466776629 267103210 13569446 156216867 1000000000000000000 521998785 515964563 23923808 367556741 1000000000000000000 50285238 50062346 20109417 49299976 1000000000000000000 727360691 213975415 578889778 130014111 1000000000000000000 742750230 347586260 287588254 617024997 1000000000000000000 25990601 24549873 7511045 23395302 1000000000000000000 784628930 187048480 170733743 69376566 1000000000000000000 68158411 55592430 57021942 32206656 1000000000000000000 702671273 624927034 697816665 105238017 1000000000000000000 364315184 298225338 208317156 147472336 1000000000000000000 152295069 83115956 46715238 129132330 1000000000000000000 944346907 214289001 548149686 742847140 1000000000000000000 27840066 26452318 19631950 18934940 1000000000000000000 120766633 98110747 89641935 58358247 1000000000000000000 225218426 65824969 69402990 19962501 1000000000000000000 946003386 409427658 928599964 541251054 1000000000000000000 533376654 166272040 318937161 24052532 1000000000000000000 907822097 179661100 571427040 211470730 1000000000000000000 475599177 262695452 420842050 293101277 1000000000000000000 765728707 619767687 435150995 289270321 1000000000000000000 476720949 19902252 386148605 277120533 1000000000000000000 281458419 31376805 77058131 134423163 1000000000000000000 894315055 886189223 665560873 4532864 1000000000000000000 167626397 132505140 157192933 108448098 1000000000000000000 90623033 18959373 22396601 39913859 1000000000000000000 32794720 8067324 8693966 6494307 1000000000000000000 59824712 5729111 14832851 37203044 1000000000000000000 766910675 194963932 367745966 394626903 1000000000000000000 116048499 84953365 6746274 47739940 1000000000000000000 299657578 76929653 97677946 231947461 1000000000000000000 505297572 117828624 447830986 334084350 1000000000000000000 992930309 503790960 198119456 4825365 1000000000000000000 373755395 314028290 230792090 141540019 1000000000000000000 995926406 920749746 476758368 578350055 1000000000000000000 952137676 297381883 129203492 322420777 1000000000000000000 837545973 316256978 236590284 791226218 1000000000000000000 455131654 31842055 69828255 72385663 1000000000000000000 283570246 273602934 224609566 128119005 1000000000000000000 793109025 332873787 69823831 354424946 1000000000000000000 639346460 172887279 606085588 461160983 1000000000000000000 555127506 383881414 279222007 369508656 1000000000000000000 524709847 22136170 327139505 504773610 1000000000000000000 140938223 19805109 123279029 3634551 1000000000000000000 876397887 760130283 70501995 250402396 1000000000000000000 344598495 83439252 153595119 246363517 1000000000000000000 324996145 194853076 201790755 31193266 1000000000000000000 518959932 113178831 500734676 89886293 1000000000000000000 478162966 231052052 293699973 108938150 1000000000000000000 330037773 190710366 257369811 309415623 1000000000000000000 303356346 197505097 217293141 163663555 1000000000000000000 789569428 528637926 680731268 447389824 1000000000000000000 880508842 198295360 473512501 358470422 1000000000000000000 872176488 298448843 399709947 201195556 1000000000000000000 42878998 21226079 11478123 29965682 1000000000000000000 171733607 127015101 50098776 128599241 1000000000000000000 989556922 418563157 121329730 953710662 1000000000000000000 348157135 155127331 299999964 300533989 1000000000000000000 433603774 247627083 84239728 242247545 1000000000000000000 939077386 230238945 187698043 878691146 1000000000000000000 108210072 43188333 108189525 22568302 1000000000000000000 390291781 176444909 42785099 278210583 1000000000000000000 597386252 277810564 499582652 149034027 1000000000000000000 731557391 693688684 326451422 699328786 1000000000000000000 662149069 425971339 357119480 223358672 1000000000000000000 270938632 41598174 61556171 239646396 1000000000000000000 355013742 284251425 84958826 275516234 1000000000000000000 291395988 242304810 114565176 271722324 1000000000000000000 686765752 442392914 521512075 150184969 1000000000000000000 142896643 36738566 92266412 12325639 1000000000000000000 60278669 29448777 18140913 18747395 1000000000000000000 989702440 47789863 741445119 735686575 1000000000000000000 986792580 73769880 570526241 843763714 1000000000000000000 814112388 132645179 411449722 382242941 1000000000000000000 372991662 85058489 371198028 111036380 1000000000000000000 586877832 508221019 456869264 419749532 1000000000000000000 113988598 23542379 83392639 76101033 1000000000000000000 603219163 566041446 580870098 66572518 1000000000000000000 976988034 435523656 497290495 163135270 1000000000000000000 965054305 916661368 812584886 108531077 1000000000000000000 483863587 28138972 184539976 336072215 1000000000000000000 475618641 79214904 70921330 323970358 1000000000000000000 973331558 345806089 760182366 219699368 1000000000000000000 427937619 269479069 8423008 265639784 1000000000000000000 388606482 20039515 368674439 294276545 1000000000000000000 656016065 248586000 498941401 475133699 1000000000000000000 115088272 49779015 96927054 28636260 1000000000000000000 705537593 343615612 253522193 572531448 1000000000000000000 938181902 873533226 851712262 371604581 1000000000000000000 561217604 218331461 491998321 446724116 1000000000000000000 426577635 65015612 151675170 335535707 1000000000000000000 8565740 447147 2960235 7281140 1000000000000000000 915255053 338258153 708820406 473412942 1000000000000000000 883189053 110585236 620584692 288774587 1000000000000000000 974239800 648330453 388723790 212051062 1000000000000000000 854193890 581197585 180357130 262658670 1000000000000000000 792728320 267221045 131606889 672367086 1000000000000000000 994078721 82318246 878654857 394858342 1000000000000000000 961456477 675844228 47333277 174123265 1000000000000000000 206924456 137214166 147421871 205601734 1000000000000000000 407089171 388717371 269003795 185846087 1000000000000000000 368779447 51614286 18396823 193724533 1000000000000000000 412874175 387145920 224516215 341220266 1000000000000000000 84179633 80679641 28090096 6504625 1000000000000000000 270908261 199954184 214835769 105609126 1000000000000000000 950390258 857585319 352393312 699281999 1000000000000000000 375926995 183348542 166092112 299729306 1000000000000000000 635843300 571950448 84866744 337438676 1000000000000000000 309250642 233631463 242921192 217163623 1000000000000000000 836679205 784522509 61278996 63830843 1000000000000000000 399270382 391661097 87138545 84589455 1000000000000000000 404385968 105624613 91302338 30560306 1000000000000000000 99745594 81216335 16321302 83820482 1000000000000000000 228621283 97685151 76174576 47229455 1000000000000000000 596365537 401095706 190145428 417977097 1000000000000000000 4368053 1634649 1050265 2598553 1000000000000000000 693089271 649394778 950300 515122896 1000000000000000000 816102970 145486074 437381128 432114172 1000000000000000000 807172939 29152141 630083912 763781288 1000000000000000000 169188124 135846359 107469901 54424483 1000000000000000000 675784909 263187239 280768879 110157735 1000000000000000000 54064720 8377879 42840219 37270835 1000000000000000000 160879976 118426272 66457078 15279211 1000000000000000000 922876834 781780095 276177974 532927316 1000000000000000000 260331472 89875764 160304939 121471185 1000000000000000000 887708807 560529420 115930322 532537921 1000000000000000000 726540924 158203646 562656809 532007085 1000000000000000000 568920832 301403125 273176849 431591859 1000000000000000000 937892675 859384122 426764221 800071868 1000000000000000000 569885811 44890475 145733335 559479168 1000000000000000000 878409820 651647488 355896892 546758594 1000000000000000000 620859125 537493632 436079669 325205524 1000000000000000000 892746012 137120204 147722487 471999102 1000000000000000000 705412295 541613961 428202872 148416608 1000000000000000000 675919848 622137612 589751643 298629928 1000000000000000000 795184404 231626799 739066990 427888610 1000000000000000000 936536529 769312709 707762139 918954940 1000000000000000000 615650659 586665327 454302372 130749289 1000000000000000000 686961808 366406244 215514019 475793777 1000000000000000000 532771395 419119758 515153277 57936563 1000000000000000000 409231315 380032815 165275018 67494387 1000000000000000000 855052349 333669279 59262304 478246962 1000000000000000000 828354458 562451292 343522419 553207278 1000000000000000000 414415707 270880143 398302798 188851145 1000000000000000000 105716096 58985247 14962980 100696144 1000000000000000000 373931401 299997216 86267755 254096264 1000000000000000000 393298884 243338536 31211936 32471170 1000000000000000000 143551976 125018 121049192 86699422 1000000000000000000 514610865 287970635 53630111 409655831 1000000000000000000 46840784 21187633 13901074 10087044 1000000000000000000 529663647 194305386 55371040 111171350 1000000000000000000 132362567 7562643 27069086 978154 1000000000000000000 765030160 724663791 111707743 709569955 1000000000000000000 459619814 140582904 415951422 76472346 1000000000000000000 543813540 102260966 325701057 156922503 1000000000000000000 442493480 327984071 333158572 349531748 1000000000000000000 872820283 333839916 679630588 545291230 1000000000000000000 154636332 136647211 135113427 105033025 1000000000000000000 882285306 121058111 288844245 18231438 1000000000000000000 596307269 473829490 886352 158058557 1000000000000000000 752084894 112911966 423540504 442918270 1000000000000000000 968207495 506706970 434170470 853907830 1000000000000000000 229726900 159092268 134531408 62406440 1000000000000000000 273856037 203994573 143953630 270259719 1000000000000000000 915224799 850782348 614789540 373751743 1000000000000000000 544624791 234431611 260383408 507322945 1000000000000000000 376208327 43066034 348266978 168753820 1000000000000000000 220803708 126424164 59360508 55268931 1000000000000000000 196917847 75203536 196563787 177167611 1000000000000000000 841703664 67334081 187398680 125164166 1000000000000000000 794977979 461609923 181661360 342865876 1000000000000000000 953723798 837316498 374890361 123002570 1000000000000000000 7137278 1917042 932568 4535940 1000000000000000000 472525097 384718671 320164315 138275824 1000000000000000000 87064542 2059059 5494643 82671312 1000000000000000000 862165027 184550570 62273605 665642806 1000000000000000000 94621432 16006081 70047881 45645976 1000000000000000000 761358624 401684624 689557528 307188750 1000000000000000000 316193590 268170355 32078284 243935124 1000000000000000000 60945446 59280795 49984115 2512987 1000000000000000000 425069150 144594169 38820431 419497218 1000000000000000000 731549256 162301093 83728645 663343196 1000000000000000000 200353017 183868981 22878476 115133497 1000000000000000000 307296863 114294564 231958281 182256124 1000000000000000000 331095599 1283977 38728863 7015313 1000000000000000000 229550004 47781737 16083849 52985300 1000000000000000000 299641868 21829033 286369037 243120028 1000000000000000000 420417470 124495295 379596013 360517075 1000000000000000000 959328349 882537801 715158263 625153665 1000000000000000000 697625745 579452257 66359322 638298683 1000000000000000000 828026449 585063404 461195424 93383570 1000000000000000000 935547231 701575462 10613790 97194971 1000000000000000000 166587724 17279498 122938344 115403304 1000000000000000000 848259132 208193486 719132343 281569230 1000000000000000000 195711407 44696083 83936338 169777920 1000000000000000000 924286550 42461269 10950665 506027373 1000000000000000000 689633902 88436757 140025271 550361039 1000000000000000000 522588076 214081475 220008162 502507447 1000000000000000000 558729965 201412451 447641025 232746012 1000000000000000000 684817287 183805749 114215420 460357111 1000000000000000000 664822308 143286977 523369047 358932022 1000000000000000000 817711053 645396160 599988587 76503558 1000000000000000000 723488635 683279138 71920677 520683774 1000000000000000000 715167162 330306444 150703395 237371226 1000000000000000000 949893273 391435686 368303669 346321156 1000000000000000000 514824103 299703884 262112059 445407030 1000000000000000000 230748898 24617308 52109636 31747041 1000000000000000000 411755535 176993913 44427660 227634795 1000000000000000000 163903111 144028604 5118097 20224148 1000000000000000000 171212277 129667107 104493560 52241498 1000000000000000000 150054386 21732633 1278371 27962853 1000000000000000000 705688279 541742960 561745155 262984218 1000000000000000000 14733360 3830506 4719531 319815 1000000000000000000 827366211 750679899 317868051 34731368 1000000000000000000 801527372 271578907 433850527 529259198 1000000000000000000 910001931 449776713 538657886 677172654 1000000000000000000 772654964 148689265 458511248 462973445 1000000000000000000 575446470 201292184 53683694 382400555 1000000000000000000 717521616 520497559 554849153 21944424 1000000000000000000 229859107 43592433 217859840 43754018 1000000000000000000 600377084 179490081 135028246 586635167 1000000000000000000 554509075 44666151 161545425 15031657 1000000000000000000 308875682 176775045 279287335 182447133 1000000000000000000 960231697 260113649 268148094 621350957 1000000000000000000 702115317 512578736 687104643 402426247 1000000000000000000 982065990 528147720 285524351 65574955 1000000000000000000 698824159 440309257 637063611 408587202 1000000000000000000 480959568 60470370 122153197 143053970 1000000000000000000 525159878 17977948 433285755 317253319 1000000000000000000 487111953 467134298 265316949 49943338 1000000000000000000 142163879 90704987 105317049 12768143 1000000000000000000 9793500 9638832 4240972 5320550 1000000000000000000 352549648 1390638 179522855 218881897 1000000000000000000 859185448 264366055 36855218 640492091 1000000000000000000 596999259 302890465 361751316 66074859 1000000000000000000 437808207 180624143 344253526 8127967 1000000000000000000 439863473 405687584 23662737 424230044 1000000000000000000 788215306 109882082 15666090 572226695 1000000000000000000 992593404 476458915 533446284 879644744 1000000000000000000 311836854 121205605 189378830 64905067 1000000000000000000 850826713 778615828 247479344 790916680 1000000000000000000 984085850 787299359 597197804 493397691 1000000000000000000 96813960 78594492 68507500 84690616 1000000000000000000 701782331 282106489 650756216 288328576 1000000000000000000 863788553 796727090 207928822 668020497 1000000000000000000 919821908 702857218 326485118 780858120 1000000000000000000 781537408 719590555 651770708 119206008 1000000000000000000 902358618 21638314 833580050 11911290 1000000000000000000 74469212 5808889 45616011 48135778 1000000000000000000 878889854 220575185 216731435 509166755 1000000000000000000 133766437 26406774 132135020 44142358 1000000000000000000 37333015 32501165 9701877 22487634 1000000000000000000 533583004 288629487 117910475 140883851 1000000000000000000 225182507 52385674 148513303 2018050 1000000000000000000 584797864 311220394 533775518 280392604 1000000000000000000 756215516 388221400 384276152 525053740 1000000000000000000 685632675 673636454 370620509 663002879 1000000000000000000 47840542 15978178 16693233 970731 1000000000000000000 501157089 260751326 488899996 195487598 1000000000000000000 460333911 453946767 296778097 376759648 1000000000000000000 608248021 350653609 401572128 105892012 1000000000000000000 825315061 137768936 505626239 299598430 1000000000000000000 780206345 547138007 347378090 731946340 1000000000000000000 341467477 58385164 331524376 101141862 1000000000000000000 396288070 119465886 225366920 250698064 1000000000000000000 11301665 9946983 8485025 7538684 1000000000000000000 797303398 14176209 567133942 309199352 1000000000000000000 919708868 916182908 191606722 176963507 1000000000000000000 596965222 44947718 114077935 499387862 1000000000000000000 724012890 647073001 377383987 638048994 1000000000000000000 84538237 78100096 83406104 84511060 1000000000000000000 506437362 312408340 484244668 233990306 1000000000000000000 414072443 46968406 118528269 217073287 1000000000000000000 806039836 67315109 571688880 84209902 1000000000000000000 251871476 147170346 198191207 217778355 1000000000000000000 576585682 560961238 168143913 536073720 1000000000000000000 436366907 50345500 288358091 425541783 1000000000000000000 988395475 51806257 131391839 821054508 1000000000000000000 809523223 316482986 164589566 641508025 1000000000000000000 166037522 32095550 1988670 149269377 1000000000000000000 314925897 177221078 266495220 79491731 1000000000000000000 303256341 155975893 28464525 222612773 1000000000000000000 39517699 21509331 24275561 17785125 1000000000000000000 492612077 297342542 250503742 248815027 1000000000000000000 522525525 358178083 196211290 499666930 1000000000000000000 431213449 396074166 35613170 425649674 1000000000000000000 196167823 172916741 27246535 157245441 1000000000000000000 235013494 158281837 213037817 7826456 1000000000000000000 504125339 21265639 48563837 71133967 1000000000000000000 192096210 27739666 135868462 80695583 1000000000000000000 564171643 98474779 482642117 315402163 1000000000000000000 999895080 424808900 962517639 412423819 1000000000000000000 822733167 676475833 635493186 281545699 1000000000000000000 997283107 889059812 408031315 966677468 1000000000000000000 963292158 951753128 916191843 866854836 1000000000000000000 636954380 446517739 560122028 467622608 1000000000000000000 824216031 148532189 369043566 44737394 1000000000000000000 283340269 75714991 152460636 208105424 1000000000000000000 945858548 593431423 497743444 785184752 1000000000000000000 648073052 204295996 369183834 506554131 1000000000000000000 462916403 45222250 131441754 416762249 1000000000000000000 102938116 19485659 26929975 56569673 1000000000000000000 58606266 37936433 19837110 4115671 1000000000000000000 625834803 400278465 141039432 316514462 1000000000000000000 552144571 400210056 430812117 205210903 1000000000000000000 487927849 430272049 448152550 304958842 1000000000000000000 344373505 279810624 217288091 199426551 1000000000000000000 790335501 204139437 348867669 121429916 1000000000000000000 182269060 164105892 34548795 141736686 1000000000000000000 857777921 198939811 193094187 173874720 1000000000000000000 610623891 77947098 407709892 533210462 1000000000000000000 543696600 495671073 513027600 268724623 1000000000000000000 609762797 25353214 514517985 504327472 1000000000000000000 164287456 130731757 97504573 132710558 1000000000000000000 973073765 104967313 282138021 131142148 1000000000000000000 730429453 715814920 139178624 294374010 1000000000000000000 540863523 498765275 75140914 362498977 1000000000000000000 586429670 268825312 525364915 292438408 1000000000000000000 963770357 785217582 538706275 126322860 1000000000000000000 389272097 379241476 78681153 96437555 1000000000000000000 272681849 208168664 68554848 190220650 1000000000000000000 563305595 387393999 332482255 398940870 1000000000000000000 628436643 565702363 366594432 444618204 1000000000000000000 567435313 361737361 13137072 411453368 1000000000000000000 699512693 72314414 571774058 136244683 1000000000000000000 297377938 128607598 293252688 77605312 1000000000000000000 207593214 78929388 189410741 5125412 1000000000000000000 803420991 281394354 420948657 661111712 1000000000000000000 59794265 28013382 46684266 18607034 1000000000000000000 64702363 29837563 35277098 7171304 1000000000000000000 585245360 187889076 150966601 545761802 1000000000000000000 209312025 20193423 40221861 107583556 1000000000000000000 471824572 372407337 175132491 402670031 1000000000000000000 588777541 471248983 117516812 477266582 1000000000000000000 48886012 4083116 14237545 9997114 1000000000000000000 778866228 334983935 715697522 297766018 1000000000000000000 173175243 132951661 113374712 58025914 1000000000000000000 535462033 504743969 395867225 212403147 1000000000000000000 526343955 331357043 12553731 409894946 1000000000000000000 99066469 63571122 46645877 29520081 1000000000000000000 25177365 24045365 19173044 19179346 1000000000000000000 848330473 758482198 828183685 502080324 1000000000000000000 933274571 678562973 802829521 386771160 1000000000000000000 895257547 745787634 685960190 541534251 1000000000000000000 541459442 390861400 459359860 508102133 1000000000000000000 867864322 646783748 603513742 675036527 1000000000000000000 512462619 143725501 451124523 168062629 1000000000000000000 575399263 314547216 40040381 474445698 1000000000000000000 371399324 324255140 187753174 247676297 1000000000000000000 488575245 70191965 444761622 21742785 1000000000000000000 969474104 664459709 937862400 110162764 1000000000000000000 728953697 420576460 493851813 670586747 1000000000000000000 285756746 127787985 221649287 85395001 1000000000000000000 32011936 22404570 17941706 17547512 1000000000000000000 237201779 165171700 201739123 211257041 1000000000000000000 58527572 6365607 42355906 42513253 1000000000000000000 738267321 554899100 3163159 631643405 1000000000000000000 14780611 11306259 10520266 8547973 1000000000000000000 653447834 507289764 29102916 242994626 1000000000000000000 246822705 54962388 44143159 22633435 1000000000000000000 474750131 465907031 76410693 363155393 1000000000000000000 298829403 290829885 198527563 180226486 1000000000000000000 796923096 60464980 147388899 125257140 1000000000000000000 482290375 49515084 13931261 132475417 1000000000000000000 77071806 749595 71339222 13260576 1000000000000000000 622414316 314639129 100899862 449539584 1000000000000000000 890877103 489657923 870354926 497679181 1000000000000000000 658896707 183828860 362531389 398448472 1000000000000000000 588170432 336280451 339669534 564019980 1000000000000000000 998362323 308309541 7740530 570450307 1000000000000000000 325537086 275488920 314481211 119715243 1000000000000000000 504283769 378416801 161159124 102616385 1000000000000000000 91262087 18904899 69797019 13317243 1000000000000000000 770135199 662069937 105308652 763430006 1000000000000000000 718878978 404528311 661779351 641565397 1000000000000000000 373546964 179652313 340080672 143301613 1000000000000000000 315532825 114240279 21016515 220184089 1000000000000000000 308398319 14430579 225446723 286670022 1000000000000000000 319819483 148106150 176217988 178652005 1000000000000000000 438817250 43278916 236557149 12729912 1000000000000000000 297734652 220852130 124921750 19047457 1000000000000000000 428459281 260202913 236351784 413237657 1000000000000000000 612507918 44854634 343326600 213744241 1000000000000000000 567809143 188829829 558476794 40939731 1000000000000000000 12923212 10093068 7026661 5105919 1000000000000000000 748060832 413157185 633825716 739818587 1000000000000000000 146463007 53273607 143381818 116924279 1000000000000000000 349509894 324931228 171771323 79880996 1000000000000000000 417657861 286706009 269454704 106371557 1000000000000000000 56128877 55348266 24195661 13699208 1000000000000000000 208914394 13701300 88518715 95504287 1000000000000000000 381988261 154965055 158832664 189084748 1000000000000000000 647094680 449512045 540346526 468243212 1000000000000000000 557103689 105067887 492203589 509040944 1000000000000000000 915391720 188234513 391641561 344381746 1000000000000000000 703097109 660247382 35362519 8101818 1000000000000000000 358873418 219619569 304552340 230170772 1000000000000000000 432024921 209912263 170008433 134834007 1000000000000000000 476981314 89633452 291711627 307513921 1000000000000000000 424473865 174834374 226960861 334850624 1000000000000000000 415237967 186545400 44026211 262363559 1000000000000000000 991272582 516665363 544782852 521561123 1000000000000000000 319469340 252209004 217157618 13655332 1000000000000000000 146994390 21862199 32269525 39849599 1000000000000000000 215018769 150006439 68591483 25696891 1000000000000000000 182714080 94132 15813143 180588021 1000000000000000000 209480096 180607411 162696766 48647857 1000000000000000000 738589785 577945251 335210050 715054224 1000000000000000000 669012790 367885613 191245683 355336427 1000000000000000000 747783598 55560555 416083539 12581366 1000000000000000000 524698712 172995834 36885363 112624373 1000000000000000000 113516066 23341074 96999197 104988390 1000000000000000000 121894742 90515014 10120549 105717242 1000000000000000000 334576881 97944903 245141428 42420927 1000000000000000000 457412519 279854878 6012641 411476691 1000000000000000000 322592424 301182803 290803245 151547582 1000000000000000000 204841782 141377432 136809086 120747951 1000000000000000000 93453260 12299021 79183022 19703391 1000000000000000000 877946906 300918604 761577852 298800073 1000000000000000000 70469209 31562834 26517036 34134567 1000000000000000000 15456009 10583520 5714664 4732559 1000000000000000000 539699148 172981759 470861458 199438854 1000000000000000000 56676032 28532118 2345236 46410041 1000000000000000000 888091450 204057444 491966927 730650978 1000000000000000000 608942958 74293046 363573218 252806277 1000000000000000000 49045111 10347984 16288178 45515155 1000000000000000000 200521715 37598603 64919144 71521240 1000000000000000000 718815345 702570120 430690734 283656612 1000000000000000000 651162802 218403362 195946925 389708095 1000000000000000000 101030279 23026462 57873360 99533949 1000000000000000000 908550911 803791685 31281262 837622486 1000000000000000000 814425981 193682457 465473227 121669794 1000000000000000000 282918218 232569700 86947747 279243270 1000000000000000000 403040659 399429748 182366632 140164992 1000000000000000000 448010759 34282905 345130595 86131952 1000000000000000000 786790977 392855414 566863804 55406468 1000000000000000000 138463563 58385357 58199583 34574770 1000000000000000000 725244534 410866184 523678540 682157581 1000000000000000000 503924552 166201447 219733728 475245198 1000000000000000000 867694016 55300120 370591520 172243924 1000000000000000000 643425850 9604176 146495224 320980912 1000000000000000000 27969178 24418510 16923046 23203125 1000000000000000000 936645879 549388270 842336090 95534666 1000000000000000000 263780545 215360641 37695464 96419171 1000000000000000000 146704229 6084199 110595011 56393234 1000000000000000000 652061671 159590332 641528679 551539634 1000000000000000000 228091124 12998576 180362103 123280104 1000000000000000000 651732262 380549670 280886038 483659946 1000000000000000000 492324329 211171405 272776114 75529616 1000000000000000000 195834327 170866317 50661286 158278906 1000000000000000000 341748162 199003654 176286335 82507304 1000000000000000000 187748564 76566512 4708444 136962726 1000000000000000000 663118704 320775059 474619875 83386831 1000000000000000000 906257227 811116851 342832549 464970026 1000000000000000000 164760054 134908454 137306604 12335063 1000000000000000000 706949101 95671393 101844364 481639634 1000000000000000000 28085225 1763961 16659576 23619748 1000000000000000000 985229555 327496856 89359687 716296794 1000000000000000000 327469347 260527603 183462264 67525419 1000000000000000000 940375329 175948312 429144044 856014805 1000000000000000000 934032720 85412016 379963102 866864333 1000000000000000000 656440354 140872340 458123059 308177597 1000000000000000000 873251169 201773663 445602585 26592214 1000000000000000000 525224509 454319999 485090523 482016997 1000000000000000000 910033968 688564378 610327631 813586308 1000000000000000000 469028879 442425043 115399463 190051145 1000000000000000000 50335230 17715593 43071479 48611351 1000000000000000000 322767981 172090406 41810382 206990656 1000000000000000000 921198628 273994472 235577539 597407506 1000000000000000000 491376593 58371278 36633329 491180181 1000000000000000000 609256966 372957815 266925091 123312562 1000000000000000000 987348942 688704464 648101681 108361993 1000000000000000000 143728920 57440860 76597028 136200713 1000000000000000000 911371207 260226987 594654730 169690776 1000000000000000000 965347907 625495972 668745100 419441205 1000000000000000000 97677516 57985829 27265756 49421526 1000000000000000000 664000398 63327304 101167407 420074385 1000000000000000000 891422792 340059389 403285187 878208616 1000000000000000000 616265502 500241055 156441763 429333321 1000000000000000000 505659111 272856603 431777939 214275950 1000000000000000000 648598485 439687504 328285337 632533101 1000000000000000000 811693161 315310806 644280588 31519364 1000000000000000000 821250796 563813363 353596848 727002308 1000000000000000000 523161241 505895532 256213146 168655217 1000000000000000000 959296231 364192312 427378505 79486124 1000000000000000000 435092422 428337046 242654065 383520484 1000000000000000000 812768776 643565798 547359831 614366124 1000000000000000000 652281809 610341441 120736510 420076880 1000000000000000000 718071689 312503995 623195926 694085980 1000000000000000000 858879461 505563755 705362279 732563984 1000000000000000000 859811158 595339238 615742994 842822967 1000000000000000000 196455463 44187952 67918736 55154819 1000000000000000000 109376471 28504852 67067731 58392570 1000000000000000000 902361699 581633026 755527954 797193236 1000000000000000000 13928166 11487495 11158174 12973200 1000000000000000000 538654255 329861281 412311883 111993920 1000000000000000000 851920718 561054974 737675752 24014474 1000000000000000000 981984112 8396535 624252533 405666985 1000000000000000000 196838028 88598988 103444054 168313646 1000000000000000000 153260046 125186668 48630357 85404967 1000000000000000000 842938152 176661401 331164123 319042033 1000000000000000000 322498183 100080330 271887806 240360413 1000000000000000000 39783934 6312099 22513818 13684204 1000000000000000000 91785257 62669292 25525601 62035725 1000000000000000000 444146680 116458619 208686551 104958798 1000000000000000000 252247443 7554153 90710368 74952924 1000000000000000000 917302381 621488581 368602584 319967304 1000000000000000000 440956298 225354653 379882494 375637060 1000000000000000000 622715641 9890695 585993865 546032322 1000000000000000000 357151091 274163754 309138244 230904407 1000000000000000000 869708561 517636906 693011635 14994535 1000000000000000000 453840675 246732073 232840615 325109818 1000000000000000000 465714817 395863816 363860862 21404541 1000000000000000000 912050152 63285825 861759364 773283666 1000000000000000000 181452891 121282905 119550747 77028320 1000000000000000000 699416403 57011479 290336969 108677849 1000000000000000000 186651660 110177529 181986371 81461732 1000000000000000000 142296196 46478931 29687528 4810896 1000000000000000000 601008921 359230728 408041581 537954568 1000000000000000000 349190196 565227 117358577 317516890 1000000000000000000 182702134 147910876 160878113 111052658 1000000000000000000 302944855 252593515 175437860 301165405 1000000000000000000 830983837 236483952 720718232 573576564 1000000000000000000 493089369 3257235 158510999 37480643 1000000000000000000 766444325 363202656 446939268 96000271 1000000000000000000 586489906 2414882 63267678 526598727 1000000000000000000 772313065 300892322 176053506 467918434 1000000000000000000 264732337 91712349 123959624 209562928 1000000000000000000 66787794 24797258 10481588 55213740 1000000000000000000 938248744 412838624 569782225 306220423 1000000000000000000 283317784 250579530 243582724 125340125 1000000000000000000 230416383 110456578 129743747 214196858 1000000000000000000 169064781 37390542 53659800 5289989 1000000000000000000 924535238 763285873 882490658 405147617 1000000000000000000 821321397 606455060 713760238 494522594 1000000000000000000 542039048 526284399 382280843 173904906 1000000000000000000 990678264 677787750 593318573 136143687 1000000000000000000 567305720 443412897 244666113 546527364 1000000000000000000 109213636 31722320 39951354 94328766 1000000000000000000 561426859 55436930 133203593 476749162 1000000000000000000 154040953 146614536 130916161 117710825 1000000000000000000 358589192 109409332 298791343 84775254 1000000000000000000 4816436 1572995 193314 3110836 1000000000000000000 611516080 226709118 570551040 72795863 1000000000000000000 288205047 192454376 163686145 4059453 1000000000000000000 194243694 75630261 10702374 58521885 1000000000000000000 486722041 34622139 421098482 265683891 1000000000000000000 808201540 136873866 654103774 67847914 1000000000000000000 223516250 139143576 180174111 205678904 1000000000000000000 136253207 43539737 64262098 83192516 1000000000000000000 495936585 344527304 477311743 279872127 1000000000000000000 667793807 655598770 612007793 229398641 1000000000000000000 444651441 339189141 105492860 85591981 1000000000000000000 348120413 318652832 264417841 156454417 1000000000000000000 43498882 21131987 2460768 21937727 1000000000000000000 13665888 517054 5046941 12676330 1000000000000000000 863302738 772172049 481482123 256332913 1000000000000000000 40371203 32527372 29869842 9933527 1000000000000000000 549565201 51233768 145242777 222536012 1000000000000000000 260117634 67598646 198203256 171553793 1000000000000000000 800620250 255109687 268572141 434476848 1000000000000000000 956320808 629124718 364901521 269128089 1000000000000000000 612416355 113400264 92048666 433463536 1000000000000000000 687085607 658888199 18556865 172836777 1000000000000000000 48908279 10062331 25763151 36770153 1000000000000000000 594855886 264318330 206967726 25736149 1000000000000000000 196227340 12590611 87027340 57893501 1000000000000000000 347542351 284606524 153033250 301055161 1000000000000000000 700311926 143306741 8928560 539495588 1000000000000000000 289473645 34656652 224051667 211589514 1000000000000000000 832744521 487472090 375156461 598506280 1000000000000000000 856368400 444675695 791339311 583959423 1000000000000000000 737918382 218833269 394260028 555365927 1000000000000000000 625946270 221877079 92586232 374651011 1000000000000000000 945280069 392549921 35331302 334796856 1000000000000000000 515468387 451407976 112444052 383654425 1000000000000000000 520621438 467782251 440612441 251439211 1000000000000000000 491995580 415754765 202255285 188863769 1000000000000000000 580533218 293818630 490018158 501276743 1000000000000000000 230313277 120648644 153530077 26292590 1000000000000000000 595283804 563626434 342354943 422738236 1000000000000000000 750363526 572039987 605328617 612222764 1000000000000000000 784712264 288377812 551668477 622096376 1000000000000000000 645083255 283559015 207708091 368348866 1000000000000000000 277367810 57670766 156770502 253234766 1000000000000000000 49730306 41955277 41341722 48558294 1000000000000000000 105892848 75863352 34733495 44612060 1000000000000000000 823961780 19014198 284116070 729932410 1000000000000000000 340342440 186667983 319724210 291039387 1000000000000000000 179402453 82846105 27423048 175407280 1000000000000000000 582679242 307614592 237427171 419426324 1000000000000000000 882816490 712590482 92749927 832516515 1000000000000000000 914849050 417071247 368884215 369039432 1000000000000000000 719622264 466876176 449619373 544414630 1000000000000000000 812178952 542647393 176721214 791637935 1000000000000000000 40258436 29438798 35354959 17745794 1000000000000000000 797336074 603332219 111480437 17842974 1000000000000000000 868481412 437541614 127584527 430606989 1000000000000000000 642727919 626350750 234618142 233939906 1000000000000000000 105599406 101481358 87786729 27072575 1000000000000000000 288695213 153224377 190475894 219658988 1000000000000000000 394783439 391059663 196407875 193887444 1000000000000000000 630157578 95862618 588711726 619251946 1000000000000000000 8825069 5613520 6395944 5445291 1000000000000000000 368466126 252240665 315359711 101727405 1000000000000000000 327922170 308393616 188843456 129659974 1000000000000000000 797726397 665237697 220832380 555238096 1000000000000000000 565090858 213118507 286105682 368050704 1000000000000000000 668734407 81295545 665188046 426728478 1000000000000000000 111575923 62164202 38334055 42489148 1000000000000000000 288911461 8924235 123047007 218599617 1000000000000000000 479361655 473215629 13380144 24458863 1000000000000000000 897852819 689876220 81559129 672610869 1000000000000000000 627139864 50855102 158196826 190798095 1000000000000000000 259317427 223122407 75304914 256327524 1000000000000000000 285724889 178917897 76954883 226486195 1000000000000000000 793305336 762784150 177554933 647952741 1000000000000000000 77662794 59582606 30726749 71979454 1000000000000000000 202531147 82474569 43749907 98821944 1000000000000000000 600747917 418593160 140623347 344171119 1000000000000000000 18557085 4362738 2980463 16768055 1000000000000000000 97013125 17239131 53431332 55042787 1000000000000000000 538667156 101214927 394192387 362678872 1000000000000000000 582902652 391476959 305595688 117519691 1000000000000000000 189813093 31169015 29142585 34499509 1000000000000000000 570680959 156364067 304554611 329798377 1000000000000000000 513265986 232179603 149397703 45488519 1000000000000000000 868279531 847151364 520034963 492482917 1000000000000000000 318195412 40360 169036995 224598403 1000000000000000000 655055847 454848117 117143524 490543816 1000000000000000000 716919741 538853710 685900224 17507223 1000000000000000000 430778188 375411578 367084739 241688784 1000000000000000000 955841540 572371460 262561845 654577934 1000000000000000000 33504147 9760089 368076 9411853 1000000000000000000 73248224 68733504 59413362 60169111 1000000000000000000 143901657 83197235 35222639 51019634 1000000000000000000 991864788 551068532 302412730 70113372 1000000000000000000 71707404 3925972 7010341 62985665 1000000000000000000 27340177 23719649 525094 6381171 1000000000000000000 692171425 378406508 477678661 187399296 1000000000000000000 3367609 1078700 2555794 1563502 1000000000000000000 278818791 266350038 14934770 208145782 1000000000000000000 470758877 135415156 452023618 359299133 1000000000000000000 694230761 355433808 225024671 296029876 1000000000000000000 821199975 814250007 207402706 803876230 1000000000000000000 224044942 77980756 70397542 140168727 1000000000000000000 971914200 607035780 528598175 916306595 1000000000000000000 425091215 369446516 183300314 85257439 1000000000000000000 233053948 195971543 26028961 115011792 1000000000000000000 397829441 104946860 362018876 123787533 1000000000000000000 987639337 10102739 300924755 421030109 1000000000000000000 276298245 252796201 80338290 198804406 1000000000000000000 484445159 407381439 99036778 123416673 1000000000000000000 56170557 48729670 2018737 1539022 1000000000000000000 901050122 336826658 523258503 39657653 1000000000000000000 703321935 265264526 203999431 271005078 1000000000000000000 21297188 9637803 7490472 373803 1000000000000000000 350587562 25434774 245275643 147993209 1000000000000000000 870936548 143076652 43439179 301510042 1000000000000000000 832718978 498101508 334282450 114965818 1000000000000000000 795969298 744168037 171614561 398939301 1000000000000000000 396843684 157113303 169675700 185026981 1000000000000000000 841899796 81351895 62399480 757618438 1000000000000000000 386847288 65288373 201909219 245271735 1000000000000000000 396326938 62714257 143257527 75270043 1000000000000000000 309074830 273985989 296331274 127422659 1000000000000000000 689444263 447843125 68020959 63480808 1000000000000000000 143057042 60590730 91292634 103723413 1000000000000000000 838274925 397924916 224612166 801988538 1000000000000000000 295424435 258825645 266241506 56824540 1000000000000000000 379716131 134648234 59062629 261342353 1000000000000000000 406337663 379500788 51717156 129735476 1000000000000000000 974710700 783229950 348531576 132218713 1000000000000000000 650908955 506107202 265162913 352239508 1000000000000000000 377593040 316101672 301888812 8408867 1000000000000000000 146618100 77823698 9389516 42598313 1000000000000000000 793889102 534101265 57125357 429220140 1000000000000000000 639571667 526300742 316812272 355566327 1000000000000000000 913124577 750313975 703632738 443663802 1000000000000000000 557886425 392793020 256868439 159210676 1000000000000000000 232485849 52391092 98645979 55052743 1000000000000000000 397459952 17190064 239280298 251746672 1000000000000000000 118961352 24791829 105626241 61059278 1000000000000000000 508978918 212522784 503859203 366301355 1000000000000000000 988288630 499874887 618182267 853429261 1000000000000000000 9661436 4612439 1202742 247322 1000000000000000000 132103610 94730927 49930119 8131082 1000000000000000000 232071913 82695631 79166233 219759361 1000000000000000000 760944324 209324490 572886465 671934743 1000000000000000000 932653785 199973288 534155214 256982587 1000000000000000000 121212784 89911222 45691590 41728345 1000000000000000000 233058657 100511294 111353603 114326493 1000000000000000000 635252767 537011022 56401014 367855333 1000000000000000000 832584303 679815258 401893330 675238978 1000000000000000000 809355462 772037841 774166821 385558116 1000000000000000000 939740931 340647152 466769886 462934049 1000000000000000000 784845935 408604093 221474034 728013191 1000000000000000000 715990822 391965226 541758653 625648305 1000000000000000000 957558526 602973895 504233493 508057013 1000000000000000000 112991301 102420784 93400457 48270610 1000000000000000000 499984897 262715364 174913634 289250954 1000000000000000000 995031861 351009124 120934861 187125720 1000000000000000000 447220065 97392273 344887065 154506988 1000000000000000000 587366731 348670867 495267073 15512800 1000000000000000000 387941186 302417184 326702191 226370895 1000000000000000000 496251095 98098828 280419996 147969768 1000000000000000000 141760246 73632054 34731893 86826152 1000000000000000000 65412764 40022241 45844775 28395736 1000000000000000000 592331907 289231194 94180493 97733060 1000000000000000000 21606521 7979058 6813081 18507479 1000000000000000000 960636055 228850870 552896745 723673439 1000000000000000000 243964431 67935710 104210248 125338876 1000000000000000000 495085334 12071328 443953144 269222355 1000000000000000000 284970827 148550371 131230636 43170537 1000000000000000000 42642061 7290759 27961698 21656063 1000000000000000000 507626465 490084357 416941662 211130795 1000000000000000000 389578587 54442946 219496726 361994275 1000000000000000000 470549592 74340523 190328196 254594897 1000000000000000000 432464443 162496740 95313793 430078386 1000000000000000000 8824621 3254102 7693661 8726755 1000000000000000000 555712602 184943474 39284043 134367531 1000000000000000000 628230424 130614808 175282934 301280796 1000000000000000000 139813620 47230655 44589945 99477348 1000000000000000000 291462795 128945467 281376505 245973196 1000000000000000000 263259557 20335848 50956507 237855827 1000000000000000000 643702952 227062188 92577086 551651713 1000000000000000000 729237504 668757407 521494607 394242718 1000000000000000000 348298251 53912416 73904905 341060576 1000000000000000000 393967025 196853095 305093504 139673697 1000000000000000000 14508886 5618118 1241644 6357134 1000000000000000000 552429170 174552702 343412501 503104389 1000000000000000000 842858104 289794274 21297451 55418265 1000000000000000000 263328415 176586182 250086999 78516825 1000000000000000000 817551029 396100730 719032149 732248737 1000000000000000000 438792658 420523313 298601389 416529880 1000000000000000000 397908129 247628622 121120718 113246611 1000000000000000000 854487414 725881007 512928281 252615941 1000000000000000000 864142254 619772412 702728369 811107319 1000000000000000000 993254958 481311985 58983252 668783775 1000000000000000000 853514874 147524290 424273486 670932065 1000000000000000000 26494545 22915785 9254840 23182670 1000000000000000000 375885618 205080709 322269718 113713229 1000000000000000000 418809249 275692532 89654240 247422937 1000000000000000000 288198065 58276689 228909392 197442489 1000000000000000000 828899036 545608135 87343455 262148424 1000000000000000000 869965910 826821019 681207610 798548941 1000000000000000000 52049001 40882189 5112615 8269902 1000000000000000000 387038829 308874930 169411684 140548758 1000000000000000000 879672053 830288266 517399478 862769940 1000000000000000000 776142431 515377601 651294440 642961445 1000000000000000000 276491041 133890748 210598704 87388155 1000000000000000000 403205749 271915596 75153025 225656299 1000000000000000000 189877512 49672038 91451560 137580011 1000000000000000000 288428697 105888193 74755655 9906823 1000000000000000000 924418644 20998769 852973480 910516263 1000000000000000000 438615889 401494208 218919500 78206760 1000000000000000000 92871872 31462135 72617611 2936668 1000000000000000000 614853809 496589730 218014244 303008226 1000000000000000000 513725971 236111446 397261268 464724598 1000000000000000000 339885122 224692084 289525192 37960893 1000000000000000000 4198064 4034141 938147 524509 1000000000000000000 785333584 113622265 127365401 364467343 1000000000000000000 389297297 29556275 239315677 278223312 1000000000000000000 596574651 308259728 416414724 503415972 1000000000000000000 956636197 677093562 815692660 87106440 1000000000000000000 323330455 273589820 84833995 200725152 1000000000000000000 37030516 22963906 1240957 31474295 1000000000000000000 804399835 730635487 774877248 226096034 1000000000000000000 907126684 653418815 222652262 389491035 1000000000000000000 157082329 75992541 86421041 71152426 1000000000000000000 116800855 14450421 59615903 68349024 1000000000000000000 968490121 861144227 684240756 364276232 1000000000000000000 529832219 205224015 443030759 299064417 1000000000000000000 818062383 545982814 601800277 754321313 1000000000000000000 520267891 502017276 283846220 487016861 1000000000000000000 306840189 107313390 260198288 283056927 1000000000000000000 617125067 369495801 417610146 130021777 1000000000000000000 373170446 323853204 315018503 336507689 1000000000000000000 951607463 164170877 206541467 805477449 1000000000000000000 259499967 204181686 106945280 189890354 1000000000000000000 259135173 245440721 81203729 202288583 1000000000000000000 556878062 50389338 298747001 518413560 1000000000000000000 816379434 659999958 282384846 76788028 1000000000000000000 419696007 414049957 352376013 25123062 1000000000000000000 49783698 17885353 12081374 23048177 1000000000000000000 13400317 4250656 6895225 1065258 1000000000000000000 444321775 208327136 31974280 430130797 1000000000000000000 949736929 900323018 773271690 702590399 1000000000000000000 190722833 178557918 90408095 8800897 1000000000000000000 491001033 294825498 212161542 242584806 1000000000000000000 176444852 31473155 170027269 103622517 1000000000000000000 856624473 395833764 566887632 696144583 1000000000000000000 862788657 124315251 11721019 285842822 1000000000000000000 506063124 297287500 322982110 375672713 1000000000000000000 755051177 377429391 433358983 543589087 1000000000000000000 439857196 37668730 41799351 140093040 1000000000000000000 139234557 70586798 80525200 108204612 1000000000000000000 686831160 601377583 379385652 553994135 1000000000000000000 656203217 626340655 505982612 71577030 1000000000000000000 466217570 20767383 375832239 340088774 1000000000000000000 23558740 14706087 11412458 19001553 1000000000000000000 545086824 28538340 324022603 251132510 1000000000000000000 130934688 76280334 73865863 58328944 1000000000000000000 903243636 776322059 350879553 814233969 1000000000000000000 76893963 16447691 9761946 55925690 1000000000000000000 749329390 192956136 97510258 712524461 1000000000000000000 178078517 4612949 120924441 47538073 1000000000000000000 709899577 186030013 483025122 13763703 1000000000000000000 347523873 255638065 109595896 36690176 1000000000000000000 219808372 134564387 128761530 9722478 1000000000000000000 941702397 221320132 287569838 292787924 1000000000000000000 377698814 107833769 252542336 91028021 1000000000000000000 992317572 132030178 706051175 257024001 1000000000000000000 142143326 94581827 113201987 70796003 1000000000000000000 165455836 162580813 51586836 7308757 1000000000000000000 707827859 450903874 84673214 314727528 1000000000000000000 592732085 561115125 273018963 80534637 1000000000000000000 378286322 22537203 149954402 174951991 1000000000000000000 68120773 22241546 58553952 8432990 1000000000000000000 460613519 382835856 341674039 106560214 1000000000000000000 700638630 76790553 639178389 171610639 1000000000000000000 512779001 176461097 203860005 212618302 1000000000000000000 394575826 80860083 230448732 5526671 1000000000000000000 899100575 301495223 469392805 460102945 1000000000000000000 213141028 206630291 194189292 173415983 1000000000000000000 257924061 238232275 242059643 59157384 1000000000000000000 495522819 434285478 304333374 358077206 1000000000000000000 839285031 420537830 595777566 24281911 1000000000000000000 363709822 14268183 357961902 161827789 1000000000000000000 382333243 97957851 321815565 316974370 1000000000000000000 912842460 723156612 38708974 57700584 1000000000000000000 321362031 122056363 79076086 208033 1000000000000000000 114619016 50503723 22073153 65815623 1000000000000000000 961439499 626832538 739319295 47257321 1000000000000000000 571972178 240014158 421466990 103437577 1000000000000000000 812904831 552633024 796410065 767179145 1000000000000000000 109422151 76645974 76288323 15577922 1000000000000000000 524500815 60582153 177836771 307764402 1000000000000000000 450390230 48027305 390382946 32597485 1000000000000000000 759962642 422911815 435237257 345428899 1000000000000000000 497320139 135673537 9055992 316906511 1000000000000000000 269798516 35811476 59649777 16723615 1000000000000000000 245563253 125308016 160392117 3736697 1000000000000000000 859088104 143870727 229487864 166497816 1000000000000000000 682188862 118229135 70797394 538495140 1000000000000000000 21733550 11194130 11264798 14935414 1000000000000000000 271179777 111544292 233615339 180385742 1000000000000000000 731857987 452292116 594521833 248880827 1000000000000000000 637699820 493360517 87187365 383535259 1000000000000000000 756005231 287948463 751789237 741729231 1000000000000000000 683062706 616810671 364661796 681195927 1000000000000000000 299519411 180375767 167030151 19548310 1000000000000000000 521917719 126905016 501016879 317589499 1000000000000000000 959279922 581218425 916219248 906904294 1000000000000000000 868596663 567772620 461689142 153245213 1000000000000000000 604506899 337429980 347854241 222254160 1000000000000000000 728448906 673719453 280033680 144657712 1000000000000000000 645921440 443352898 25743200 37417146 1000000000000000000 665946310 583645484 12608296 404199752 1000000000000000000 957267795 151988691 371299564 916489563 1000000000000000000 757348209 1911294 256972245 341748025 1000000000000000000 973065810 144927808 551940141 262088827 1000000000000000000 606415929 200651805 259404931 186218703 1000000000000000000 797328963 374668569 688272502 538826246 1000000000000000000 680574352 518348172 475507693 553940701 1000000000000000000 710251080 257659104 188502740 326624697 1000000000000000000 290696661 219151602 256137936 1357026 1000000000000000000 792170591 274713317 479574246 788162296 1000000000000000000 807746305 130952350 203651800 85747341 1000000000000000000 41947037 35763431 14639969 15140371 1000000000000000000 527057944 195250503 238833990 243104185 1000000000000000000 845289254 69209525 563650445 165491418 1000000000000000000 270938374 125786932 112086555 114738970 1000000000000000000 780804356 57657961 541858660 165057759 1000000000000000000 855494290 704693414 565351381 296881274 1000000000000000000 16099912 10986339 12548773 11033716 1000000000000000000 987943416 231558169 635511461 206458472 1000000000000000000 323869059 48122166 287091721 316496141 1000000000000000000 42140971 996300 24809667 7515773 1000000000000000000 933012374 802307862 696414459 882055262 1000000000000000000 430111365 22623522 179455114 245459657 1000000000000000000 998712255 748733839 352902537 666245741 1000000000000000000 456353026 54733215 415699725 175918452 1000000000000000000 409066658 136503096 338078251 276669303 1000000000000000000 142838371 142251110 113998746 99803717 1000000000000000000 683414082 492572194 555000669 389040916 1000000000000000000 23066557 3310881 17871224 13300570 1000000000000000000 596187774 292183359 147952978 30653985 1000000000000000000 783091336 733358426 22261189 369380409 1000000000000000000 390475407 53267723 239271082 20249799 1000000000000000000 199040273 162880214 49452662 90929947 1000000000000000000 380651658 359172245 116612091 84234452 1000000000000000000 518843804 499240479 68661454 319303088 1000000000000000000 202731581 13433846 137573977 116873245 1000000000000000000 10047227 3054262 7020018 1611846 1000000000000000000 881829639 751708787 463458424 124341773 1000000000000000000 244761888 75314544 110642020 69744231 1000000000000000000 845523786 559047136 537728954 635783091 1000000000000000000 327064245 260996456 75644982 253717645 1000000000000000000 224846928 220792756 191316179 74559845 1000000000000000000 700043826 152229980 623071353 62252805 1000000000000000000 702397031 655299641 32532587 456722394 1000000000000000000 858117240 842400629 513057697 493160681 1000000000000000000 911749621 641182322 204783100 787159369 1000000000000000000 161481986 87150683 145283299 20694525 1000000000000000000 113266719 82816684 50962211 89478441 1000000000000000000 274857527 25981189 123413979 200855055 1000000000000000000 832684154 445560535 371945325 117780046 1000000000000000000 158658602 29630573 11440858 154524763 1000000000000000000 885915654 101933505 321830770 233891002 1000000000000000000 732849196 618122166 335465957 249179855 1000000000000000000 940356375 238912393 933773581 37995796 1000000000000000000 991380162 337477926 813310038 51242559 1000000000000000000 793290333 771936065 458394155 252897249 1000000000000000000 351189674 255856224 269736071 114599647 1000000000000000000 363829732 5678385 217148260 348455510 1000000000000000000 664232162 158661085 196889819 269593581 1000000000000000000 383303642 259252372 178575213 378143302 1000000000000000000 835251654 526233009 314233338 185575228 1000000000000000000 833292058 34193457 297360416 324945694 1000000000000000000 24943162 7420273 13346559 20650370 1000000000000000000 712211100 644129600 350522110 285023951 1000000000000000000 195727799 90625979 33289050 65380974 1000000000000000000 23245340 3553935 5771549 23157219 1000000000000000000 499738434 116220800 1324757 4299015 1000000000000000000 355245288 341468 221100010 22214147 1000000000000000000 345352384 106403811 185249421 74384073 1000000000000000000 499086023 234975504 245592636 118260938 1000000000000000000 800604698 375275664 51047330 157455173 1000000000000000000 768513314 711132722 132517460 340453750 1000000000000000000 842252700 46965480 339620494 483249109 1000000000000000000 120013896 70856203 68042771 88526804 1000000000000000000 467392024 94113421 57252921 374044597 1000000000000000000 131595183 109765283 13663105 936884 1000000000000000000 380800548 289990335 251847292 355808660 1000000000000000000 814067963 689485327 198944274 640344439 1000000000000000000 172434757 166099590 117492522 13783488 1000000000000000000 357288618 169720241 130987078 62533110 1000000000000000000 402974635 352459886 308643920 78048407 1000000000000000000 114654937 10788993 55739683 22378915 1000000000000000000 950899558 238789961 369042823 615076075 1000000000000000000 146713893 29318716 104750216 46894068 1000000000000000000 908486074 567335713 705713471 632508181 1000000000000000000 64957347 27943317 4008841 45690151 1000000000000000000 999563176 366142928 968245141 966724639 1000000000000000000 186513627 95951854 155910977 56584822 1000000000000000000 296435544 100352882 64865028 198942083 1000000000000000000 376294893 155918093 242805000 134754251 1000000000000000000 291944600 31858360 206063567 49130063 1000000000000000000 856052335 250080740 345366029 481866249 1000000000000000000 711532227 195428068 116122190 677423239 1000000000000000000 212382478 125869990 170850581 110580397 1000000000000000000 803064539 632499257 389448490 573179672 1000000000000000000 163988203 18354784 85055783 682694 1000000000000000000 278925476 41063177 170238103 255596085 1000000000000000000 314818705 914905 17758054 166327878 1000000000000000000 876751484 649816118 138139172 815126967 1000000000000000000 678175833 597925835 288727958 310368201 1000000000000000000 114357398 99324518 103693633 27026001 1000000000000000000 211683459 175254524 151209923 118667358 1000000000000000000 32678611 10093543 17930266 23652926 1000000000000000000 257251704 167455108 169104862 3399808 1000000000000000000 149662327 71280862 141638845 92158560 1000000000000000000 951482513 812833854 74822713 285843288 1000000000000000000 507583878 410755416 433710743 177343234 1000000000000000000 559365817 538106124 74045226 89297655 1000000000000000000 900079679 128725313 422783688 449454584 1000000000000000000 66300185 2078700 32184726 1179981 1000000000000000000 628662256 401973584 344409898 94986685 1000000000000000000 217537166 195180798 37769486 197052753 1000000000000000000 867044488 480672150 150390964 787985870 1000000000000000000 610738015 146385717 594367446 344498565 1000000000000000000 435473245 23008179 262639778 402913855 1000000000000000000 447495757 164395893 163892149 47272504 1000000000000000000 462529180 32425824 335065837 398550884 1000000000000000000 22541462 14990072 15014503 14355523 1000000000000000000 107901679 28275864 26700934 19446175 1000000000000000000 925459800 617105463 376995086 674186529 1000000000000000000 95093876 45067763 837303 25477554 1000000000000000000 327861066 181466932 185847465 318478180 1000000000000000000 152718550 141966983 14526263 41125746 1000000000000000000 628877677 106728674 96744136 399340166 1000000000000000000 786617339 144066727 733046218 351345339 1000000000000000000 905302548 365280982 33740285 767536317 1000000000000000000 896307137 571544630 139534486 361070093 1000000000000000000 605625440 284891366 110339693 281490893 1000000000000000000 9558164 1106472 7936259 3679185 1000000000000000000 777660603 493029538 203608406 660488942 1000000000000000000 32434441 30865154 21233010 1886509 1000000000000000000 766058179 517550774 410187329 523607481 1000000000000000000 38974500 35513289 19421613 35660098 1000000000000000000 915406630 538414227 31226436 568863526 1000000000000000000 841875703 812084307 640262387 429260493 1000000000000000000 792515503 109782409 531536604 339047335 1000000000000000000 877161037 609110565 331912566 661411597 1000000000000000000 113305144 439542 80296085 77594086 1000000000000000000 883099022 355067660 256177181 141675114 1000000000000000000 30483272 26605251 9013761 17271120 1000000000000000000 118188699 47846751 22953297 88981725 1000000000000000000 91356202 68941355 5909951 39588128 1000000000000000000 651248336 405707597 521681907 514733872 1000000000000000000 206489521 44530594 68459373 79791293 1000000000000000000 731423229 208501367 718828454 574125854 1000000000000000000 288211979 117636466 108402808 80746318 1000000000000000000 310019859 174027157 247151299 168112614 1000000000000000000 791491722 109020013 48706008 471490079 1000000000000000000 677275777 448544167 564523874 186695728 1000000000000000000 482230703 34125396 482025174 327552834 1000000000000000000 980069484 733111788 349875332 661610379 1000000000000000000 665834736 438663365 138040631 428826115 1000000000000000000 162043836 21165861 51128382 134330705 1000000000000000000 165528480 4344389 119531337 11978665 1000000000000000000 50621289 48261835 44488608 40095789 1000000000000000000 484274460 402902531 316969357 337676538 1000000000000000000 605004047 217993913 34920720 424933299 1000000000000000000 552422530 306138444 201359913 434640846 1000000000000000000 452790390 83307341 90784723 284230743 1000000000000000000 168652347 61064467 62849191 168198359 1000000000000000000 839412007 344387839 643824052 686150220 1000000000000000000 809759431 696356516 358947567 800169958 1000000000000000000 826564691 574331152 760398561 159177184 1000000000000000000 725818450 704078294 367658583 195365568 1000000000000000000 162723496 60166082 97632939 109889389 1000000000000000000 530895509 488745016 363076796 463246856 1000000000000000000 189108594 147145339 112607446 16533280 1000000000000000000 429350925 397010460 216575687 92142061 1000000000000000000 529198103 160734914 23909447 4083042 1000000000000000000 542412967 302556939 262182155 82494633 1000000000000000000 902543624 690943065 583591339 670595963 1000000000000000000 170228331 46252350 136651409 127812943 1000000000000000000 136213923 47351706 46161230 46628463 1000000000000000000 123525960 26922061 88709643 112378667 1000000000000000000 322920231 94398514 12464024 108267964 1000000000000000000 607482640 526393993 347664132 233272858 1000000000000000000 42113890 8611253 4089714 38929179 1000000000000000000 389184616 303117028 212868679 146867723 1000000000000000000 820864979 138948835 223794175 499344742 1000000000000000000 23799956 12060553 17651300 14820692 1000000000000000000 319614797 88488836 226405012 195876227 1000000000000000000 758198810 60222785 195584615 35387800 1000000000000000000 213727111 79284953 172373431 196473517 1000000000000000000 132515607 35929925 124606203 11800482 1000000000000000000 472011506 381887342 284127778 317138028 1000000000000000000 667455113 282102802 175190413 567224846 1000000000000000000 829962918 293950110 134230927 161165701 1000000000000000000 700407698 319608672 77743590 693641872 1000000000000000000 205074638 198972139 88104375 7966113 1000000000000000000 792050288 13542761 433076809 701506879 1000000000000000000 557964621 284085302 331215360 502331595 1000000000000000000 57113932 10704071 961427 10011162 1000000000000000000 236429279 100190201 16717627 58553953 1000000000000000000 993147176 386571875 93518150 387155855 1000000000000000000 444097186 143361525 259091629 51331975 1000000000000000000 770955890 287363922 447579996 45678479 1000000000000000000 629664963 104276528 265580122 459913643 1000000000000000000 372513143 291223640 183839406 150495158 1000000000000000000 624721303 362173364 453128824 355810114 1000000000000000000 372564336 164422883 323996500 362317795 1000000000000000000 983512136 858928099 715840101 116439289 1000000000000000000 607765251 202957255 313068462 452268703 1000000000000000000 461062654 251590686 370379233 409106853 1000000000000000000 479355531 346229417 172302012 350392159 1000000000000000000 89473503 55426613 41067297 21286254 1000000000000000000 937085625 290126640 265897475 781436724 1000000000000000000 88984571 11155584 19763333 78457504 1000000000000000000 392318068 378214990 258969903 319690219 1000000000000000000 180555421 148486191 164543949 163030362 1000000000000000000 157497097 33796637 62894886 117284876 1000000000000000000 782345697 232365125 677774880 598792106 1000000000000000000 753238460 348797200 168322350 201268543 1000000000000000000 57041605 21831417 7158894 55101140 1000000000000000000 762524293 491386559 139714797 383660218 1000000000000000000 555639212 350205189 210344947 83856823 1000000000000000000 885107309 356620684 346539559 572423272 1000000000000000000 791468099 340460998 102774048 64456695 1000000000000000000 87465649 58648425 48366912 86635422 1000000000000000000 435820100 269299119 175777367 164484529 1000000000000000000 967015390 391832142 617948060 75449502 1000000000000000000 173670987 156499275 166989816 166547762 1000000000000000000 615922333 118515707 36481776 604215130 1000000000000000000 412778236 227456790 265785084 246714315 1000000000000000000 313127123 292362172 155719082 108209253 1000000000000000000 522463290 241621089 295662780 413695833 1000000000000000000 412440219 269729680 358178346 395376604 1000000000000000000 824555962 656907739 670343392 559157939 1000000000000000000 203918752 166966363 180302888 112647972 1000000000000000000 827319203 307892544 180895927 49760263 1000000000000000000 193790631 125865235 105798552 170938313 1000000000000000000 643980294 122601152 108042977 299133772 1000000000000000000 28116611 12779690 6960290 17085638 1000000000000000000 607931199 419528190 230240709 264139865 1000000000000000000 631265487 187200667 107769413 109161107 1000000000000000000 133566504 70589139 50539179 51378160 1000000000000000000 117273709 51851932 68422066 8183759 1000000000000000000 470940233 79027380 37837060 391798016 1000000000000000000 195839250 104364690 55972402 65144370 1000000000000000000 969899458 425073159 241960614 8676943 1000000000000000000 893591749 357958263 203837428 262220035 1000000000000000000 140965877 120615129 26436547 45912759 1000000000000000000 189967651 113017779 54145105 27849272 1000000000000000000 870075902 715860866 732931540 277100386 1000000000000000000 504393425 445365757 146411067 299868451 1000000000000000000 373560778 260599098 180996616 222011143 1000000000000000000 306107110 43503175 137924651 242089584 1000000000000000000 114246658 81638093 112227439 111051287 1000000000000000000 179270881 104030798 160066630 21919282 1000000000000000000 171090571 102369546 133391187 139480818 1000000000000000000 196249089 159816315 5674589 15972194 1000000000000000000 683839861 210521883 452054190 226860632 1000000000000000000 506456000 333777904 304604109 460706882 1000000000000000000 236029156 5313163 64689566 222882946 1000000000000000000 13712781 12300156 4555741 4454851 1000000000000000000 901740835 512757697 495390093 29374017 1000000000000000000 111848065 109230714 80516778 74625234 1000000000000000000 662408325 167156251 341110794 10107970 1000000000000000000 27954478 5262988 1943847 130 1000000000000000000 720855873 227437797 652227531 493141840 1000000000000000000 700874853 366660334 569514116 181422607 1000000000000000000 579912192 382869045 72689854 149618773 1000000000000000000 768866994 415927177 114254586 676115907 1000000000000000000 548402882 393311446 110600897 155044842 1000000000000000000 311467179 240874272 49037526 29866599 1000000000000000000 139325329 119334565 51953317 17330509 1000000000000000000 638239056 414958306 297505411 309137225 1000000000000000000 426798667 222276928 232845974 273584386 1000000000000000000 160063059 39014199 147303399 13062586 1000000000000000000 458277081 391842958 423375694 49430893 1000000000000000000 574166239 293005596 171523519 279482777 1000000000000000000 12537482 5324816 9475029 11638640 1000000000000000000 173561824 107887808 168459865 73772900 1000000000000000000 940407813 64179733 474158681 697620634 1000000000000000000 850704323 723285884 772463709 351322016 1000000000000000000 544500443 355749123 495446555 43382612 1000000000000000000 352998791 42134331 336934013 178038396 1000000000000000000 515111737 160614743 462216750 460605572 1000000000000000000 465834443 247158112 138082530 380793607 1000000000000000000 936224382 675187093 39989178 904747697 1000000000000000000 376788892 300297692 342734451 211853609 1000000000000000000 332253528 35221271 60288193 169383618 1000000000000000000 476306715 29288065 363425177 413759923 1000000000000000000 273616345 201373986 223403748 250583260 1000000000000000000 349349625 133321009 151002229 135437315 1000000000000000000 527173207 163864318 453237212 142546421 1000000000000000000 504146228 321948364 83103657 461897897 1000000000000000000 315580035 191113068 88097828 201258003 1000000000000000000 327833222 50699980 297372446 292071204 1000000000000000000 318774001 12633423 236724902 200814494 1000000000000000000 984049470 267149260 791415167 153136848 1000000000000000000 658104973 12526876 390768137 296854875 1000000000000000000 579925375 264746401 170087820 74787307 1000000000000000000 931556140 767585010 207981340 882830376 1000000000000000000 89982496 16691274 34563245 41800221 1000000000000000000 699526920 135750962 239067920 672541366 1000000000000000000 135787286 68973083 24202191 63813449 1000000000000000000 232343530 207111 218985309 204740551 1000000000000000000 142315804 121335857 119776738 105091872 1000000000000000000 789532480 93178068 142787939 709400957 1000000000000000000 439932062 247008683 51158068 47076616 1000000000000000000 821245219 431143524 47054615 295926733 1000000000000000000 262858732 21069527 230897318 220986200 1000000000000000000 368333568 209176971 205859097 183433931 1000000000000000000 692231074 11631861 680167920 141033042 1000000000000000000 775083997 142002925 345086082 337712915 1000000000000000000 427400692 79204572 34416140 234243815 1000000000000000000 344160410 80472693 283775086 295120219 1000000000000000000 466178519 61086158 410875758 6835732 1000000000000000000 604666851 569277945 225640724 525109990 1000000000000000000 37545723 31287225 4572090 34927495 1000000000000000000 664367104 267457704 388546835 230791567 1000000000000000000 674171639 289143504 137232338 32656400 1000000000000000000 419208916 371215372 37134215 98528573 1000000000000000000 161447692 7506450 97813143 110309649 1000000000000000000 558494611 315337380 36532418 287785954 1000000000000000000 781593641 205461989 698135069 91564333 1000000000000000000 109651319 17439691 40598506 98126676 1000000000000000000 838328441 364421296 725617814 388308263 1000000000000000000 476536307 290482548 127114310 423040485 1000000000000000000 382991042 119267037 32312341 1576514 1000000000000000000 441619867 362748498 264380901 35793675 1000000000000000000 439455848 222294036 305122704 300033366 1000000000000000000 72276117 5885674 24044677 53507386 1000000000000000000 200973522 137794135 30617857 148402264 1000000000000000000 206773225 160813838 49427177 190696746 1000000000000000000 59134585 57161868 16421922 48756453 1000000000000000000 126469520 101895114 22032204 72999028 1000000000000000000 767451026 207994269 35472951 43783067 1000000000000000000 385513284 240888589 5888716 103017778 1000000000000000000 926908572 672061261 618811718 755684799 1000000000000000000 72963516 33239487 24380065 27317869 1000000000000000000 760334917 365489436 359819448 389931708 1000000000000000000 834426791 71836632 834016224 734175247 1000000000000000000 148990795 103846727 21542113 82376415 1000000000000000000 510104427 165534410 336279666 499537092 1000000000000000000 717412334 425989076 667526597 284575293 1000000000000000000 647222250 627080092 524891976 513264058 1000000000000000000 814497077 556092266 228396764 666879353 1000000000000000000 236936816 162020091 136507775 83637954 1000000000000000000 972269725 707692232 694359942 509056460 1000000000000000000 978396344 847644573 745923455 217835477 1000000000000000000 286510298 269443503 29485787 284192667 1000000000000000000 446064711 428410718 154952885 137876922 1000000000000000000 180805004 162236120 38883783 62497468 1000000000000000000 53660379 10291472 41462565 45974371 1000000000000000000 902326162 611165046 458311147 361056914 1000000000000000000 365701437 88693141 24322218 258104176 1000000000000000000 916673192 813662826 746903089 737390295 1000000000000000000 649045622 106351191 225835551 118601473 1000000000000000000 181317569 142459810 59493916 63122432 1000000000000000000 318100836 82195363 159015289 117657339 1000000000000000000 279284832 54977782 106191460 19397487 1000000000000000000 678620805 26199525 436185809 83876221 1000000000000000000 483178164 401075106 298632010 355517408 1000000000000000000 941339163 650778294 492307483 736214430 1000000000000000000 266641193 197789915 131375955 111828761 1000000000000000000 522282341 135516432 133936183 326829467 1000000000000000000 833372196 39572355 705992930 645175886 1000000000000000000 57039928 47650647 49708787 10608422 1000000000000000000 830282707 329115454 718051749 617619256 1000000000000000000 665599378 57587680 462649173 630234215 1000000000000000000 83865469 53436965 82196896 74188250 1000000000000000000 710578787 677426433 664029990 664638023 1000000000000000000 17019022 2409051 13470894 3429522 1000000000000000000 544371351 405100373 70131010 72155521 1000000000000000000 401605661 43581919 139459442 383814380 1000000000000000000 347146652 110030470 25648862 128525533 1000000000000000000 951613329 437207535 706564268 814297944 1000000000000000000 955010050 625843556 417862942 863081766 1000000000000000000 498101787 92554039 457757950 427858903 1000000000000000000 878067647 855737909 564807904 586349586 1000000000000000000 427164454 33833737 23885956 291745967 1000000000000000000 927651238 631253528 846972855 683951542 1000000000000000000 34704680 17481657 4124514 22302268 1000000000000000000 417268154 104681100 379066294 96473617 1000000000000000000 563459410 12052780 147159659 17374830 1000000000000000000 202041043 47969255 129947381 48135038 1000000000000000000 456395188 268966889 213356026 163561458 1000000000000000000 918197462 719804747 659172839 65654433 1000000000000000000 435942114 54721662 285362491 191140713 1000000000000000000 51053782 35072023 33486082 38275383 1000000000000000000 184322618 48129617 99097144 77471643 1000000000000000000 945539257 177837419 88297669 214751693 1000000000000000000 36619017 8713295 24564322 10587339 1000000000000000000 771755680 367469880 699548137 145317374 1000000000000000000 845476956 365100424 202621973 195212402 1000000000000000000 564194170 463467224 114445497 167382116 1000000000000000000 230632374 37442588 167371616 167489382 1000000000000000000 859197574 110920517 550545567 253604942 1000000000000000000 811418999 524609967 646035468 348750262 1000000000000000000 976561246 250565283 241090647 762079268 1000000000000000000 609653541 507391297 459071976 148859582 1000000000000000000 213441275 104822569 47934325 104887707 1000000000000000000 215210535 190043119 136279254 54767649 1000000000000000000 819878095 486515702 268675983 368963242 1000000000000000000 492992264 395650542 134037094 29394592 1000000000000000000 973038554 766418999 751437707 233261509 1000000000000000000 807880639 124252367 398024940 674993380 1000000000000000000 326958069 75469313 7306413 139207751 1000000000000000000 518659923 364676500 289443639 494738730 1000000000000000000 4381280 1090899 680212 1602506 1000000000000000000 690415335 232443673 299873360 66806142 1000000000000000000 549624128 195099854 81942353 341132401 1000000000000000000 384918151 72284760 149494759 138146285 1000000000000000000 915782804 863579895 530755944 131709738 1000000000000000000 122272290 15719282 21223205 103942934 1000000000000000000 181573316 71729399 149569808 40764615 1000000000000000000 282435399 87999210 267538106 31257750 1000000000000000000 694727640 184845237 633952747 654332655 1000000000000000000 93724785 73634993 35210877 67443581 1000000000000000000 797726942 447285357 360835413 221329086 1000000000000000000 871915499 769893153 692197194 279655288 1000000000000000000 318570044 190148027 170525656 232180919 1000000000000000000 557013940 128662059 260894056 69979375 1000000000000000000 308221482 171801695 240868196 46999727 1000000000000000000 862511595 455745096 618827773 33215926 1000000000000000000 377438133 1738212 20564465 87983019 1000000000000000000 735623654 269081544 721400255 38640668 1000000000000000000 680016852 161302360 642295606 398578250 1000000000000000000 889369748 420490816 748843678 303941231 1000000000000000000 502616475 358702992 408995349 375911166 1000000000000000000 20165302 10367191 17453430 4777755 1000000000000000000 725344420 504073559 403372818 326128438 1000000000000000000 785335199 293027202 505064921 779576912 1000000000000000000 128855012 42025323 50591594 30837738 1000000000000000000 700290201 180532651 488764321 566664611 1000000000000000000 745161641 209795673 362756597 731504638 1000000000000000000 401310645 330488021 372509133 349021587 1000000000000000000 148799035 2389225 26482323 38218300 1000000000000000000 810077359 216674524 334997695 298909682 1000000000000000000 157894548 56551052 83044755 38707179 1000000000000000000 916549135 316814167 569655610 399357325 1000000000000000000 883721381 196382717 550272050 250595784 1000000000000000000 859141313 583064627 830508016 99213705 1000000000000000000 257984702 136771454 196115676 222726735 1000000000000000000 633895235 369299234 402066753 190953967 1000000000000000000 914307465 683403093 13209984 732389472 1000000000000000000 301554750 12255975 277572490 190519528 1000000000000000000 487432847 80477508 99119540 213566205 1000000000000000000 752106704 67040006 522508284 337092093 1000000000000000000 886695587 69516217 261461516 630684095 1000000000000000000 329855474 218793113 207719821 33477586 1000000000000000000 276735297 61982838 100327879 143690609 1000000000000000000 873714129 667225232 376171742 242743560 1000000000000000000 532359107 474734542 478108285 499620987 1000000000000000000 850703785 221843046 596393311 71549368 1000000000000000000 449144014 439718501 152078365 173524828 1000000000000000000 572356288 318108183 162158404 93433234 1000000000000000000 144664438 90739341 64288678 88297677 1000000000000000000 316737088 75976892 272900185 80887629 1000000000000000000 173291286 13933188 57747643 156618781 1000000000000000000 772733968 76952845 237791749 30585056 1000000000000000000 367588224 152123735 257043199 49536561 1000000000000000000 239962891 166386561 170179427 152357523 1000000000000000000 770082044 120441187 453478434 376584108 1000000000000000000 919713063 587316771 578039468 847898176 1000000000000000000 1746079 373929 332933 430289 1000000000000000000 484903210 159081081 107222951 422930054 1000000000000000000 846659959 14512578 844872616 843912001 1000000000000000000 125471214 58186645 61764945 8741900 1000000000000000000 153581380 149407271 80368787 42409785 1000000000000000000 739985333 350804704 3413565 82412452 1000000000000000000 672200425 141592957 548230872 385796275 1000000000000000000 884726926 119095495 171471034 1103565 1000000000000000000 100948950 78278166 11324145 7613238 1000000000000000000 926681713 350963816 522142486 858923247 1000000000000000000 714508900 635611894 360165907 454271096 1000000000000000000 858902179 182591706 836183902 342445139 1000000000000000000 886872693 248958625 427489395 546450966 1000000000000000000 65717410 17450207 35780097 52133107 1000000000000000000 136631564 29214387 88874703 57919911 1000000000000000000 119853441 98077235 112788054 492135 1000000000000000000 254880961 81391212 133746483 118197406 1000000000000000000 663533871 193566983 528034567 12968016 1000000000000000000 884730215 780347678 726883274 330494327 1000000000000000000 230637964 213563539 147104503 139357775 1000000000000000000 598988439 205800745 435400024 734908 1000000000000000000 970133047 465994526 639335647 915620470 1000000000000000000 190636528 153841324 75675307 91834163 1000000000000000000 501077937 326080855 363491941 412453924 1000000000000000000 125078902 106458637 12100306 53475247 1000000000000000000 881405317 622942349 72022579 717937818 1000000000000000000 374726580 1387791 168099912 360244192 1000000000000000000 669227155 465946121 600097030 75791945 1000000000000000000 944539268 847049480 477417214 380926392 1000000000000000000 367543449 2623865 97869722 94684681 1000000000000000000 407291054 22483134 130808491 291482206 1000000000000000000 928375368 398006602 610523847 113137947 1000000000000000000 164177095 143562732 72158619 118817455 1000000000000000000 706483450 604627292 461750346 27382089 1000000000000000000 440010175 234581656 6446735 182818201 1000000000000000000 436231514 256087737 144697396 409868788 1000000000000000000 173199138 101269471 142167904 25378167 1000000000000000000 234936733 87531329 201133199 154635345 1000000000000000000 64699435 25447909 22298592 11011637 1000000000000000000 638531754 28652302 179249819 564826076 1000000000000000000 163253587 64800918 46346133 105169051 1000000000000000000 637302708 523061309 528989054 75516454 1000000000000000000 788502370 43934378 549974094 633809114 1000000000000000000 568989032 563888431 135915772 228109767 1000000000000000000 227143258 34016282 32751040 30655553 1000000000000000000 626877862 115469634 146606998 543232327 1000000000000000000 490123819 364581900 14703394 245557464 1000000000000000000 639177258 191624864 190701358 201986434 1000000000000000000 501603857 181325648 214475949 152780170 1000000000000000000 856601213 81181848 234245598 748194685 1000000000000000000 943641897 105328117 745016630 4298072 1000000000000000000 264607429 12742407 169973865 21845263 1000000000000000000 231502156 166274079 15300067 84226892 1000000000000000000 601160780 134686106 328930684 362968009 1000000000000000000 218459100 46534431 45769582 92736276 1000000000000000000 1542499 842695 1449760 1255129 1000000000000000000 349531713 304688281 209701433 286071053 1000000000000000000 984407856 830567373 736675466 233135757 1000000000000000000 519947267 506401781 251005174 428467314 1000000000000000000 751267735 576624188 585033461 255351637 1000000000000000000 238749592 36977365 217288528 171467106 1000000000000000000 541313388 406759851 356963919 188976964 1000000000000000000 227952488 23250608 53742725 115271404 1000000000000000000 429654860 301007458 179974821 74328738 1000000000000000000 497121856 59506538 206029113 487626281 1000000000000000000 852097682 512888097 515268498 634253398 1000000000000000000 833206255 691521458 202204990 568267632 1000000000000000000 34397203 16494188 4828148 33873241 1000000000000000000 193254121 113195470 173447222 130682914 1000000000000000000 821791612 148107911 229030263 651136222 1000000000000000000 943121696 163141972 277889233 769343964 1000000000000000000 376733964 267787899 173558810 171339944 1000000000000000000 858686452 117388985 67935551 285485139 1000000000000000000 424412439 404930689 343915083 113375488 1000000000000000000 759284548 485703838 104759245 327885915 1000000000000000000 464615194 105075026 67862442 73714408 1000000000000000000 283964731 128283260 140017934 156891898 1000000000000000000 53075530 19837444 50921139 26999431 1000000000000000000 77294228 10048188 49948046 4402342 1000000000000000000 168111334 85818094 105345090 117901644 1000000000000000000 631014234 527245347 183490214 172890628 1000000000000000000 460858878 304977016 355151253 312373445 1000000000000000000 225708766 6117645 170875005 22287212 1000000000000000000 377198390 186781532 156138812 14600933 1000000000000000000 372863164 214069979 312207253 280112934 1000000000000000000 331811673 198215049 298078225 177339380 1000000000000000000 329622518 545120 75781082 117205017 1000000000000000000 715950856 389400267 221053135 369566178 1000000000000000000 210323483 151896977 99678335 154414944 1000000000000000000 862977804 95177743 726374264 551388599 1000000000000000000 562196722 366108815 533221220 382284117 1000000000000000000 744862903 273766598 47213678 557373433 1000000000000000000 125843743 106198955 117210279 51725782 1000000000000000000 551419256 333400111 135901412 262789232 1000000000000000000 371281182 66790916 108734638 129128254 1000000000000000000 754825537 101456880 233311251 149437712 1000000000000000000 896807108 401731077 762838069 120115695 1000000000000000000 172758295 62544723 48047702 64706795 1000000000000000000 313222254 225481890 204413994 39944930 1000000000000000000 459297437 52883700 366822743 199680246 1000000000000000000 832643962 181742397 653987851 485876504 1000000000000000000 760642201 396575136 591214512 722812535 1000000000000000000 771939355 641817470 447675300 386240109 1000000000000000000 815194010 324085412 372824267 115903525 1000000000000000000 76291062 31679031 12116097 35750645 1000000000000000000 369363400 297515765 188117011 205937617 1000000000000000000 708629944 376111197 334445564 462346421 1000000000000000000 992335790 586792733 308695121 709417253 1000000000000000000 324413240 108579734 181436013 302820354 1000000000000000000 233023427 122595632 126118758 150469506 1000000000000000000 775826869 130900283 472627624 613918737 1000000000000000000 822858726 585611995 606954922 460217873 1000000000000000000 378483440 159002125 62098681 48920327 1000000000000000000 876890100 692137816 820589430 376237007 1000000000000000000 885526354 366947693 454231083 463822162 1000000000000000000 719426623 214028256 299137331 675839432 1000000000000000000 778460395 164940910 134695142 320715415 1000000000000000000 43015323 377366 40162609 11004976 1000000000000000000 713978832 256364962 11865715 7509002 1000000000000000000 456493355 402864101 251781183 423037215 1000000000000000000 801617519 667013980 16862532 93515849 1000000000000000000 745145906 53217083 496404041 322568525 1000000000000000000 328632872 96094589 81517203 89051923 1000000000000000000 916231869 760854868 474488985 624685663 1000000000000000000 33250051 10735280 13093313 19531231 1000000000000000000 111141540 49139400 53379540 89442496 1000000000000000000 806316312 192708013 222465912 414222380 1000000000000000000 914332415 166167537 308945417 79404436 1000000000000000000 259633783 253183649 220308296 232515357 1000000000000000000 106865463 69170445 87484704 100444924 1000000000000000000 393832625 177789181 384289552 171827372 1000000000000000000 301356962 205315554 171053154 222877329 1000000000000000000 902495847 523869662 407834993 188380329 1000000000000000000 695271242 132157746 130747883 113071754 1000000000000000000 723498249 64417876 481081554 284418039 1000000000000000000 575056379 551041861 569549592 28733095 1000000000000000000 921201387 686955767 97051185 229069871 1000000000000000000 772060917 693231187 404050092 589669723 1000000000000000000 700637343 386093325 89018068 668412564 1000000000000000000 983361250 607670341 414554133 598415794 1000000000000000000 336302147 18568002 215784969 266542555 1000000000000000000 809635047 40259618 687224944 665345252 1000000000000000000 215821315 154930187 111080780 52637051 1000000000000000000 378728386 315182435 276415982 331007169 1000000000000000000 492194759 398801588 158069213 88153117 1000000000000000000 865846728 84640129 826128032 141588048 1000000000000000000 666670010 625033338 101183185 257681679 1000000000000000000 600111201 481713078 106356124 351227458 1000000000000000000 216782127 191802829 23577862 94268763 1000000000000000000 162375921 42793804 102022753 22880286 1000000000000000000 926400501 223925056 3002172 834749515 1000000000000000000 854106123 623597605 60451735 209818931 1000000000000000000 422731846 22916952 68181337 225528902 1000000000000000000 669871345 347105013 21957608 193517356 1000000000000000000 984967956 202270954 563869540 595578158 1000000000000000000 417100156 122330496 300776931 326207509 1000000000000000000 788152273 326831880 464566421 160738525 1000000000000000000 880468158 396515319 66991067 831790751 1000000000000000000 501593858 98977771 173800857 324376882 1000000000000000000 668512010 98712530 201622684 48816015 1000000000000000000 538453368 537484212 73237375 107439841 1000000000000000000 700469281 498177424 288661105 653927138 1000000000000000000 641692400 439435612 322164914 84035133 1000000000000000000 634032987 231798142 16597595 17890084 1000000000000000000 630413330 83699617 456385015 261712941 1000000000000000000 647202614 25692666 130208179 368662958 1000000000000000000 840262989 506149948 388334366 637658670 1000000000000000000 204621063 165028253 20526113 184836046 1000000000000000000 816363202 584902850 219883824 390398517 1000000000000000000 851748477 336474099 748458804 101575646 1000000000000000000 680008459 327660949 344217186 215261672 1000000000000000000 761228034 749775838 222488941 755460317 1000000000000000000 87003781 82758452 66254252 20622515 1000000000000000000 246497479 26206400 239243890 31706920 1000000000000000000 551298434 439165700 287625458 374646442 1000000000000000000 818872141 111828833 307411998 673359017 1000000000000000000 685996431 279443420 398375029 251651404 1000000000000000000 213284306 130797616 171491715 88441217 1000000000000000000 376531400 220053721 123385947 362367737 1000000000000000000 999363250 744073729 995281106 615472879 1000000000000000000 581334075 219871823 396699918 111296127 1000000000000000000 844041460 834261584 287255967 803801946 1000000000000000000 541486089 307124691 281549279 63232455 1000000000000000000 733288247 292793229 358676013 544367569 1000000000000000000 176568530 29056822 37226698 91784054 1000000000000000000 436714748 35992885 28991883 404067940 1000000000000000000 631352503 344309075 80543683 220711267 1000000000000000000 234372604 115901441 188027423 188060202 1000000000000000000 673765978 89641652 542847139 251276817 1000000000000000000 737488272 617191685 655956214 365348277 1000000000000000000 997457088 240140441 897894107 940853452 1000000000000000000 185478049 65733233 146897000 184402488 1000000000000000000 783765524 762295568 565168123 206750430 1000000000000000000 878663580 296393200 447125075 15507991 1000000000000000000 288143270 5324035 106495576 251819846 1000000000000000000 894469724 289308153 446048287 66029977 1000000000000000000 358081666 301232495 11438438 336373075 1000000000000000000 611585310 21027352 27667152 257292981 1000000000000000000 195360036 56453297 28669119 78677499 1000000000000000000 337341288 334566987 118401031 249889475 1000000000000000000 211814146 126167973 163196894 107139770 1000000000000000000 28598283 25353278 18073345 18684887 1000000000000000000 1458794 188923 1430359 652339 1000000000000000000 233323239 156274046 147116467 28852297 1000000000000000000 27677459 14898453 1705332 21700294 1000000000000000000 490004480 154501377 317363128 370624833 1000000000000000000 536646241 291400798 392937213 484452628 1000000000000000000 781300351 52234053 380976767 496597271 1000000000000000000 621777529 386464740 338104113 379215309 1000000000000000000 614063976 146264583 592823702 251129318 1000000000000000000 103137953 85619369 50831518 89811489 1000000000000000000 681982043 115281744 606945890 471550055 1000000000000000000 249310444 220135995 56494914 38634360 1000000000000000000 337571523 255636436 31825630 265401465 1000000000000000000 424954074 322742557 132255826 247570802 1000000000000000000 696086989 290535149 609331180 63001657 1000000000000000000 449332207 435519177 403348709 159609892 1000000000000000000 757886532 658649155 629288742 184687838 1000000000000000000 591393255 71467851 271989085 375608892 1000000000000000000 84164656 28926563 9010615 77835536 1000000000000000000 722603826 352478759 233465753 552192878 1000000000000000000 212031174 13731572 10012135 140599201 1000000000000000000 695074481 484253709 410105950 475533220 1000000000000000000 834498761 779327649 87158891 687979166 1000000000000000000 903325137 306568266 829979638 190283979 1000000000000000000 11947025 1488415 11291724 6710286 1000000000000000000 281242589 148493427 47314038 130301316 1000000000000000000 828924029 195598038 5301946 379597707 1000000000000000000 668040641 471924281 322588699 22837815 1000000000000000000 136931297 85719264 123300030 81615681 1000000000000000000 372296221 156401930 5357511 42647126 1000000000000000000 570776036 58044840 196738066 247933435 1000000000000000000 64402249 45032366 12451405 9431906 1000000000000000000 351400759 343579606 299136201 325964851 1000000000000000000 394469409 22215889 327801090 20724220 1000000000000000000 853934351 309597495 540958150 772892116 1000000000000000000 564663302 480889561 351650802 510767401 1000000000000000000 324847520 46802208 140618859 159330927 1000000000000000000 643420008 533512187 497119933 618328494 1000000000000000000 111866257 35654571 89020500 97120792 1000000000000000000 913715326 240812129 212051258 564010290 1000000000000000000 141239611 55235117 10674630 122098300 1000000000000000000 486546668 151205222 408482635 230215162 1000000000000000000 318502466 26081438 12257295 176872437 1000000000000000000 939742316 736880623 405224459 179110430 1000000000000000000 46759004 15634827 2272603 16148197 1000000000000000000 831116836 129318103 306940825 496509641 1000000000000000000 772556129 80292705 555782306 366074099 1000000000000000000 854253709 46201518 239154248 51759486 1000000000000000000 275871016 122178158 44217156 169586252 1000000000000000000 472676906 453351874 205629309 118687671 1000000000000000000 457247333 424303444 217901973 35584300 1000000000000000000 54342492 6640008 50101593 39202299 1000000000000000000 52027396 49025015 32347140 44673406 1000000000000000000 964110448 637055830 117894510 541816404 1000000000000000000 314471739 298632579 142046834 112485371 1000000000000000000 631141455 595609143 330824492 537280426 1000000000000000000 525483850 65303934 498317724 466564959 1000000000000000000 505128180 280359908 157531152 494725083 1000000000000000000 625487611 363481000 506820595 275215561 1000000000000000000 510681434 61638319 433256905 398705212 1000000000000000000 352936371 100786881 48766121 113526416 1000000000000000000 123911821 74333945 45376947 40378836 1000000000000000000 937179178 508375437 598664697 549319414 1000000000000000000 219395816 129933388 136586465 198599244 1000000000000000000 337021492 14223914 3254621 36152665 1000000000000000000 859863565 639249285 106993502 12901397 1000000000000000000 292331709 88776260 70951034 111657839 1000000000000000000 805712537 690237205 541906679 33267617 1000000000000000000 489113876 300723086 426317390 181180361 1000000000000000000 667900977 579401852 69193899 480892372 1000000000000000000 407053592 355313227 54312085 86652403 1000000000000000000 497143087 452048093 339441029 317330282 1000000000000000000 911594904 215113021 377749949 381330828 1000000000000000000 484400555 166742637 424834666 310353171 1000000000000000000 580966994 394920532 423048004 393768568 1000000000000000000 855349267 136047691 619688331 566128837 1000000000000000000 84316481 1586789 7251275 39734275 1000000000000000000 871767776 114966438 355443663 263788138 1000000000000000000 475330322 381838755 252757628 322948876 1000000000000000000 569456986 94886088 511709396 556788247 1000000000000000000 606326046 87092640 227688709 148195374 1000000000000000000 871802800 104335474 334298388 733434308 1000000000000000000 48438764 46700318 41407866 17305210 1000000000000000000 340462429 204163226 227306175 33879003 1000000000000000000 12638642 4215125 10042745 6134482 1000000000000000000 583791608 13764842 90342725 215275478 1000000000000000000 501875585 345580320 304680922 288982743 1000000000000000000 619002692 120065978 192230370 181725866 1000000000000000000 276466376 56127157 123268561 162430120 1000000000000000000 998539789 8776851 310893647 640988889 1000000000000000000 720841083 153921147 192832046 370367521 1000000000000000000 77249758 4933941 70520658 37480026 1000000000000000000 671265496 237430326 493636584 456575687 1000000000000000000 676477236 662086561 130783060 431647604 1000000000000000000 300188129 183991302 89076625 294425476 1000000000000000000 171792500 66638828 167692423 14866370 1000000000000000000 527632938 338219706 117246809 144101238 1000000000000000000 478262781 64725192 94294019 82232426 1000000000000000000 682290818 639257262 254917411 401932114 1000000000000000000 91100378 59403771 12001774 90668640 1000000000000000000 47401790 14546291 25713777 44630558 1000000000000000000 477326671 402963866 334262748 72244330 1000000000000000000 260318908 85264285 30954469 173897713 1000000000000000000 411730619 406008686 390511546 221912386 1000000000000000000 894942782 815139294 29783396 46274066 1000000000000000000 491274091 74377084 449534984 39687190 1000000000000000000 595890713 285393513 360662023 187227055 1000000000000000000 558311866 323299149 123310589 79263656 1000000000000000000 537320645 522310199 371271092 312422763 1000000000000000000 485180449 349014367 38143578 261193693 1000000000000000000 666902887 351971107 439823739 499927429 1000000000000000000 806846227 417555452 627144473 336095183 1000000000000000000 770019872 488835326 642336973 512164476 1000000000000000000 337432689 315183278 53200907 283579053 1000000000000000000 106145842 90496355 8783257 81324043 1000000000000000000 279084367 93491772 69959876 245891273 1000000000000000000 867932525 608192836 119699598 785146998 1000000000000000000 356414871 1971022 247841226 47869325 1000000000000000000 921359051 334074150 58134561 867288103 1000000000000000000 772640939 235061296 493769284 305649541 1000000000000000000 526294154 49859099 168335281 430338150 1000000000000000000 280787256 124370414 47153232 111380516 1000000000000000000 915352061 453122999 15588954 256942722 1000000000000000000 889892465 694319588 685047205 488984528 1000000000000000000 941848510 706135056 819023886 320115866 1000000000000000000 28907662 16447780 10983719 3898973 1000000000000000000 860661210 58623900 89080513 309321053 1000000000000000000 951221201 570575966 887286476 17181085 1000000000000000000 974680322 170360504 211062474 948414718 1000000000000000000 191565373 69582042 33059865 104242836 1000000000000000000 413767643 315669474 226068559 255110022 1000000000000000000 618808853 108624456 330538733 157440331 1000000000000000000 336246104 152387676 100839844 169237354 1000000000000000000 107364880 87536734 30076026 30396106 1000000000000000000 720781950 201943595 686353789 658343510 1000000000000000000 686386175 131704931 14644185 451732013 1000000000000000000 634236856 529904844 174244428 170114033 1000000000000000000 2508319 753227 2840 1064982 1000000000000000000 3083042 2820371 2401575 1288038 1000000000000000000 744957511 16845166 211860020 181529568 1000000000000000000 496735171 97255440 87354685 357561122 1000000000000000000 11599063 11260053 5130078 4927461 1000000000000000000 305856116 138461838 61377648 249392111 1000000000000000000 807858504 607916377 69405721 741168885 1000000000000000000 147386180 130339136 123647923 110383086 1000000000000000000 34125820 32111265 31213486 1102547 1000000000000000000 594609317 296324431 307618294 62078128 1000000000000000000 180656553 7334007 60492249 170287702 1000000000000000000 652977523 567400528 97619644 581664645 1000000000000000000 439264989 41006873 58350986 415723937 1000000000000000000 390250005 104748756 289563643 364162474 1000000000000000000 464304246 457832701 133827099 55381176 1000000000000000000 554082057 196036011 130298120 462242094 1000000000000000000 789636766 561166219 381228960 591699864 1000000000000000000 101681356 86613589 44854918 90146539 1000000000000000000 592265487 94697125 269786717 88613702 1000000000000000000 415929881 219765641 307773568 343973774 1000000000000000000 562023816 164941784 38710041 545021210 1000000000000000000 687790528 676552099 218324858 29425998 1000000000000000000 37844840 23185221 29029495 21827051 1000000000000000000 418750833 34366613 170958565 55878856 1000000000000000000 431533316 358483819 180352492 418317788 1000000000000000000 304273075 303097375 150187730 302558502 1000000000000000000 524376675 146260091 483651644 407473665 1000000000000000000 663201587 117202690 620677055 476617641 1000000000000000000 586491817 251445885 152418727 355085225 1000000000000000000 672290194 194892119 439407395 105239038 1000000000000000000 261108600 68803969 101126335 142791264 1000000000000000000 677508311 672193288 475060172 221376074 1000000000000000000 167195197 7412260 2061857 158681528 1000000000000000000 853926388 125249948 394101756 136121208 1000000000000000000 839942387 719064827 698111112 781822863 1000000000000000000 401003000 216053106 95831702 52139178 1000000000000000000 147158840 41387364 38478295 78839577 1000000000000000000 948451272 694715153 662206409 235941385 1000000000000000000 867037256 234336535 626905945 677677565 1000000000000000000 625690402 255590380 495193528 201107053 1000000000000000000 939832251 173420588 63516233 706125739 1000000000000000000 934184721 768922246 17973381 507178544 1000000000000000000 833530516 158328964 439155058 153352858 1000000000000000000 35256115 15716415 20288302 27415235 1000000000000000000 874025421 674321582 409712223 850497132 1000000000000000000 530342170 30103315 395896033 266258562 1000000000000000000 615151838 403510049 529374152 110478250 1000000000000000000 674284396 536515639 383478159 267298248 1000000000000000000 978784841 942080662 201713773 676714349 1000000000000000000 499226536 261219323 147000835 218997545 1000000000000000000 881582707 646417854 636282821 559355364 1000000000000000000 728444588 162181135 369953742 640480867 1000000000000000000 659487407 69550277 111151099 132654401 1000000000000000000 502282529 342519040 387433518 188426962 1000000000000000000 524605435 425376621 62914975 409347863 1000000000000000000 381098229 283297615 16048107 335593645 1000000000000000000 413057528 29124383 269308991 7748178 1000000000000000000 796366250 523692698 488915908 645102239 1000000000000000000 506082075 176721011 276591467 360250186 1000000000000000000 644709855 25714627 583759442 514090039 1000000000000000000 894794515 76398486 38417775 641711707 1000000000000000000 206533994 137001695 177957443 96673480 1000000000000000000 180233281 10309132 129550774 41382936 1000000000000000000 657715766 627955636 439991775 314572609 1000000000000000000 903275701 776009107 588259892 117422605 1000000000000000000 949243069 190640301 722218398 504342556 1000000000000000000 599562824 536755072 165084497 239389611 1000000000000000000 434437001 174315732 428440724 114290382 1000000000000000000 109311117 98411273 39117175 56058443 1000000000000000000 168890742 125228510 115592508 87211310 1000000000000000000 95886720 8228082 85729533 5690594 1000000000000000000 451863410 108549652 79151650 220851775 1000000000000000000 82038436 9033305 67460460 579326 1000000000000000000 399733032 388248711 334497760 364510770 1000000000000000000 716533159 646420126 116875736 530760057 1000000000000000000 407891402 301941836 120396700 361405917 1000000000000000000 840548019 231383374 76228791 829319514 1000000000000000000 689747277 183209762 213365247 217140783 1000000000000000000 322138964 102141476 297857589 97402047 1000000000000000000 39201608 25414362 23899255 12199027 1000000000000000000 487530791 313490148 269842551 356542226 1000000000000000000 691072172 681308734 212244331 419491755 1000000000000000000 268223035 61481600 188458419 255459600 1000000000000000000 187036051 41197873 151951515 37033856 1000000000000000000 477604935 362121142 293237966 413158560 1000000000000000000 440212422 266443353 405472570 424963827 1000000000000000000 822256811 544340697 342392546 20384971 1000000000000000000 685626332 296078291 128932451 483738920 1000000000000000000 587122895 105815340 483224324 469029030 1000000000000000000 55128538 21365893 28439198 5012724 1000000000000000000 789694565 30332072 481773502 709239549 1000000000000000000 969953795 786465035 137521601 254143263 1000000000000000000 516955183 62018798 246917664 290454841 1000000000000000000 521325241 263108533 102171964 86010980 1000000000000000000 440383806 146782542 167847543 437847659 1000000000000000000 236468907 109160228 125558733 72509046 1000000000000000000 639522770 505831267 599360327 127870767 1000000000000000000 308182436 33404376 79955021 183613456 1000000000000000000 725263387 553598391 240086466 406232889 1000000000000000000 820485258 224882397 634481698 276311397 1000000000000000000 683970332 605553478 467869008 98453575 1000000000000000000 969383424 855641819 599160567 347342843 1000000000000000000 737165355 11242619 353037853 333340631 1000000000000000000 121650767 15081674 16693748 115220059 1000000000000000000 494867589 173813666 139683939 262191171 1000000000000000000 602884547 135119862 39917954 302805941 1000000000000000000 745197060 4531850 361717675 58172079 1000000000000000000 230059384 43548922 75508213 162506336 1000000000000000000 836722230 523477513 522187779 405988923 1000000000000000000 647927758 302755925 475183883 388334789 1000000000000000000 660523576 223242548 195119841 470874904 1000000000000000000 938194909 159991070 268901230 716102779 1000000000000000000 758532177 638502498 689027169 128339190 1000000000000000000 57628730 4272612 17165250 49397191 1000000000000000000 274925724 106884683 108775044 159138765 1000000000000000000 31775189 20745683 1241167 22928655 1000000000000000000 476440571 224665345 83701883 146826071 1000000000000000000 939628094 721915792 12973631 735474725 1000000000000000000 382021410 198756343 213487676 264151807 1000000000000000000 15053387 12655356 5826842 702720 1000000000000000000 814728093 746427412 786693306 504492811 1000000000000000000 206854457 66892756 88827127 29158990 1000000000000000000 790608024 201548384 119925751 658596806 1000000000000000000 715150997 563236472 153176416 519680417 1000000000000000000 377480097 157743678 114664480 145050585 1000000000000000000 920597363 561507588 411487523 354641682 1000000000000000000 101322699 17099632 82979018 39290837 1000000000000000000 449322775 248638216 258679402 290374740 1000000000000000000 343362160 44884832 161197803 314854651 1000000000000000000 421990564 185760449 249199676 342513872 1000000000000000000 425750619 244613464 344658844 96329826 1000000000000000000 209924991 12813121 43945110 114892935 1000000000000000000 243138138 97330996 106062380 69592586 1000000000000000000 539751796 496077838 339089924 434598901 1000000000000000000 948066403 785204170 413220202 818255716 1000000000000000000 531661081 503915461 385770167 329701957 1000000000000000000 225029073 209271905 210966450 24237894 1000000000000000000 183694834 109768670 179796288 12736762 1000000000000000000 156662374 124805995 18535701 147945484 1000000000000000000 727774290 15856121 550441490 648385286 1000000000000000000 101917253 18045607 78408726 48534500 1000000000000000000 555173014 347133915 8611935 26044765 1000000000000000000 230901312 203434267 140965450 127565617 1000000000000000000 576619500 170346584 495723673 565279869 1000000000000000000 29310084 6737652 5717842 6836546 1000000000000000000 89223985 1263406 76081040 744713 1000000000000000000 214021559 23339351 75414809 118132927 1000000000000000000 331737070 134444146 151615021 2747013 1000000000000000000 492014629 284022152 362030363 110930841 1000000000000000000 480831040 333572287 464696191 457401560 1000000000000000000 738489912 138351775 100323485 422838364 1000000000000000000 446272305 127955737 53819701 236028492 1000000000000000000 114817911 109326926 85611099 9538141 1000000000000000000 547376402 61840170 412271395 28219180 1000000000000000000 824822765 441155552 662794629 395139726 1000000000000000000 259456520 216188181 239162914 216815562 1000000000000000000 532355553 205541484 229221357 1467663 1000000000000000000 939700160 667974916 656645997 594733318 1000000000000000000 585166081 534046049 19183343 514632381 1000000000000000000 342859364 326069301 142985531 251674681 1000000000000000000 649347294 36788545 121097029 195704592 1000000000000000000 433879456 19985373 109553010 193488512 1000000000000000000 757405318 333702038 459362785 642692310 1000000000000000000 177570533 68072142 3299415 10481257 1000000000000000000 408738491 323893166 310444013 228320345 1000000000000000000 124709697 84146884 100806323 42658956 1000000000000000000 546448192 346520633 500238992 148446942 1000000000000000000 965989248 73857791 509805023 193039883 1000000000000000000 796458152 281308946 322667111 157346676 1000000000000000000 281233868 158854411 88804567 193973429 1000000000000000000 288610026 112415080 283961875 184184800 1000000000000000000 73757785 39244942 17725734 38650866 1000000000000000000 590228525 310383930 78396847 341947348 1000000000000000000 16696644 16247425 8366523 4243845 1000000000000000000 575220267 200484086 95274964 515795915 1000000000000000000 743907004 658627591 474026473 346729731 1000000000000000000 280220105 139688555 119931726 125063006 1000000000000000000 73511608 29181877 71270725 39676266 1000000000000000000 318677068 31925083 105796551 317162340 1000000000000000000 678358867 314402015 186292828 638192800 1000000000000000000 193515954 77777912 79315725 30589153 1000000000000000000 195637094 115543260 136365792 32791043 1000000000000000000 683541063 573459903 124896246 358055172 1000000000000000000 589022254 490057667 566684790 457331561 1000000000000000000 916350926 862336406 101774013 356029576 1000000000000000000 255592069 98423902 171422097 47384830 1000000000000000000 102996167 67561173 93622562 48821555 1000000000000000000 650650672 575778743 453897129 314332036 1000000000000000000 813556831 622118866 307807901 710397083 1000000000000000000 823416322 517984174 83540318 552437036 1000000000000000000 520087967 476215098 506806475 152106920 1000000000000000000 476277616 30660478 111465576 73074730 1000000000000000000 943256500 185622133 625045071 939086780 1000000000000000000 369223242 7986922 246411327 204742088 1000000000000000000 242672651 225257425 116029435 239815749 1000000000000000000 352450199 301929061 230781610 218117463 1000000000000000000 15667414 13960932 1847215 216886 1000000000000000000 143207791 35166728 79136429 125715863 1000000000000000000 223406219 172242759 176911361 6359116 1000000000000000000 265888914 214641861 206206859 129581825 1000000000000000000 390185200 39959072 19807004 183041520 1000000000000000000 666308244 19639505 312259807 376469666 1000000000000000000 722180663 151207859 339277977 224216470 1000000000000000000 147046024 86991948 11371036 123656833 1000000000000000000 292198535 260388054 168488964 149073939 1000000000000000000 279933016 229214313 239305553 88671804 1000000000000000000 38109407 29830392 16405865 17909244 1000000000000000000 247204374 171024689 158976958 190292766 1000000000000000000 466350560 430388581 462903106 16856795 1000000000000000000 173619021 12888224 91306067 114501816 1000000000000000000 883044110 359743249 761727544 752105718 1000000000000000000 335786190 271123776 19883753 45255874 1000000000000000000 391645976 284038899 171465760 344950416 1000000000000000000 715328085 624068911 508750546 388333007 1000000000000000000 266341675 38439906 52155489 49405308 1000000000000000000 759808486 628557941 693161444 646826213 1000000000000000000 823855945 303173961 588032417 136388040 1000000000000000000 117823281 95044741 25665615 85926822 1000000000000000000 736392045 130128310 216176261 536755439 1000000000000000000 432697187 369492772 182265268 147302147 1000000000000000000 143341619 55168241 97444955 14736868 1000000000000000000 397486576 292174612 16692098 6308973 1000000000000000000 126812168 43575270 125011235 18754896 1000000000000000000 359279683 1820915 44036474 44143267 1000000000000000000 282243139 270212712 171161575 149576556 1000000000000000000 766690383 684506617 148253136 463282601 1000000000000000000 136573940 60663480 55187423 37413807 1000000000000000000 541399111 83170166 202242741 171961400 1000000000000000000 406760286 330455607 96258704 17514311 1000000000000000000 418629767 172864377 382839965 151555652 1000000000000000000 666865978 520142182 422047985 176453689 1000000000000000000 28967805 5621434 11552060 19532738 1000000000000000000 434270291 376818681 77394630 102124175 1000000000000000000 632312458 558093402 69234936 256885709 1000000000000000000 963433867 565383090 912481368 419445797 1000000000000000000 322119589 143290960 123851650 9389747 1000000000000000000 811374668 407603992 583134620 522384839 1000000000000000000 812797138 10075748 347970077 107828770 1000000000000000000 628206969 604521442 219479704 357520116 1000000000000000000 122243949 120867214 68526356 116905285 1000000000000000000 552770720 439979964 115681864 31754527 1000000000000000000 994508499 579745887 373415815 757110058 1000000000000000000 610323547 466104414 120206437 2179018 1000000000000000000 283772706 63628409 17292873 183668693 1000000000000000000 1668462 1103856 905038 1052777 1000000000000000000 492372640 483582534 183471828 369571330 1000000000000000000 951344341 476166387 774974885 893942310 1000000000000000000 333146006 328651746 233850744 133549443 1000000000000000000 756103595 389841936 674559539 681182004 1000000000000000000 853784162 317265370 279735092 480645949 1000000000000000000 652783423 278233565 633906703 106425178 1000000000000000000 343348545 78462902 281412060 162134453 1000000000000000000 551874128 103952928 28641062 47953194 1000000000000000000 461050965 103203939 268979838 48513320 1000000000000000000 970791976 861963467 194632346 359078639 1000000000000000000 170480380 45837905 158746311 92926796 1000000000000000000 451111977 262718920 4542573 85109224 1000000000000000000 697569806 300045168 519381748 587650884 1000000000000000000 570260274 370930794 313875964 179483865 1000000000000000000 392894289 332464167 177762480 371489070 1000000000000000000 96626941 26418777 72156593 62159879 1000000000000000000 124217974 122022014 58127383 81970238 1000000000000000000 359842281 10600054 338088301 344043876 1000000000000000000 257944050 99929871 177309738 5044676 1000000000000000000 9621246 2625569 7669108 7646725 1000000000000000000 158951988 114865864 116311294 23798665 1000000000000000000 56856241 9459890 2181094 48103946 1000000000000000000 117659812 18258458 80467657 38858837 1000000000000000000 455833812 416781429 113800876 131384973 1000000000000000000 176687801 119197472 79320542 108046789 1000000000000000000 783716910 211643386 297925897 735560922 1000000000000000000 602342597 463620256 499383615 430353212 1000000000000000000 327234238 282621397 53004262 142290366 1000000000000000000 57813679 35159393 26309060 14400405 1000000000000000000 542044753 411050743 27111862 106358224 1000000000000000000 842862974 132517185 491452051 800521910 1000000000000000000 361950308 77262594 158461217 34630682 1000000000000000000 912344273 815090958 108354389 879673162 1000000000000000000 874602486 697734874 11039700 544875196 1000000000000000000 450839641 195161660 277143452 416019575 1000000000000000000 885582585 211708575 734075705 667706233 1000000000000000000 970482166 87550806 40846249 369238337 1000000000000000000 541878173 509378830 208170032 127485263 1000000000000000000 193098499 20614097 181929880 93478824 1000000000000000000 241996204 180953542 179579815 88534174 1000000000000000000 563880033 419152257 518145644 167921893 1000000000000000000 841162697 741020661 225792264 19880716 1000000000000000000 841504409 63372821 174074858 442082461 1000000000000000000 27090293 16711852 10025839 24879720 1000000000000000000 939690724 459885843 441180913 245630632 1000000000000000000 702426200 101533028 278699914 58842651 1000000000000000000 180235204 49793707 121271909 125176897 1000000000000000000 70866330 66555884 19781635 68232229 1000000000000000000 837647785 88952637 42895404 637525050 1000000000000000000 819130179 120707079 581955115 639724117 1000000000000000000 278250970 13777611 239946807 263613762 1000000000000000000 600471297 300345074 238212691 29583424 1000000000000000000 338454810 200589731 37353024 163798222 1000000000000000000 8803564 5314168 4221844 6796383 1000000000000000000 188054046 163244820 117618882 153177058 1000000000000000000 773542594 602425665 12344881 130284537 1000000000000000000 448451725 404104335 252191585 201060521 1000000000000000000 528704604 319628881 152966666 294773011 1000000000000000000 246876560 30025992 47184142 23033607 1000000000000000000 237934059 220438557 170868978 183920772 1000000000000000000 563148624 312054694 316953872 415664282 1000000000000000000 990114512 677446615 557024464 548950315 1000000000000000000 971061759 652153058 818755360 416940449 1000000000000000000 362436398 143088145 337139123 324400195 1000000000000000000 186250664 3814307 82966558 171273239 1000000000000000000 526931580 67351766 105855398 523569507 1000000000000000000 316951337 64171825 144948931 4023415 1000000000000000000 855319153 727744238 818100936 97372583 1000000000000000000 830169190 62517457 470578023 816623384 1000000000000000000 777171156 581239434 28478105 130515530 1000000000000000000 77754157 77122274 47768308 61848802 1000000000000000000 188291304 30656616 87368773 14102750 1000000000000000000 12324197 5150911 3913542 6911536 1000000000000000000 885165866 198109772 718386456 583394565 1000000000000000000 627594842 239505433 320782831 290268618 1000000000000000000 217582789 40221054 84777630 50312529 1000000000000000000 766552569 451199313 393768096 619917567 1000000000000000000 724191742 720702102 272640023 474249102 1000000000000000000 530149971 113684702 360583534 430733685 1000000000000000000 975065107 344512025 64960474 889080487 1000000000000000000 388979256 319556011 148423175 150712125 1000000000000000000 591057604 197939018 355899835 424027599 1000000000000000000 917906269 539517219 596693926 19182645 1000000000000000000 385099030 129347247 118574226 318029682 1000000000000000000 304850926 190884618 287435231 26300061 1000000000000000000 129615080 116635069 125169218 105626570 1000000000000000000 470561988 30540183 172000523 194044562 1000000000000000000 77520888 15407933 3109991 76106117 1000000000000000000 347156410 100361018 47384298 166271322 1000000000000000000 906735739 759926222 489560560 499514647 1000000000000000000 572413662 59814285 33916968 457780872 1000000000000000000 176682976 146641240 43257298 61395045 1000000000000000000 427603429 384922132 212186823 124803992 1000000000000000000 645965733 57808200 180705072 630091539 1000000000000000000 557099317 386554615 527087339 301974474 1000000000000000000 292601250 29133222 25887784 8428506 1000000000000000000 158989709 134127028 127766875 37108027 1000000000000000000 832056994 598878583 808376082 630296521 1000000000000000000 133029057 47163384 49973111 8283892 1000000000000000000 483909765 91492999 3448468 306989041 1000000000000000000 33653471 4235349 33222727 22543612 1000000000000000000 78077309 24724720 4577124 14058566 1000000000000000000 816322234 109703403 442651767 596548240 1000000000000000000 791790205 267416802 453229167 69705611 1000000000000000000 398724609 185183275 51525054 181260515 1000000000000000000 829216066 490640284 735813254 366698582 1000000000000000000 411709796 59494576 244284635 345349094 1000000000000000000 35793428 28848297 9458539 3366964 1000000000000000000 706932054 502739525 504714110 27524057 1000000000000000000 951694358 110240862 382288444 518664330 1000000000000000000 911008604 669635630 354505481 286235515 1000000000000000000 962749290 375851680 190331740 405507695 1000000000000000000 916933489 828295277 537675336 57487987 1000000000000000000 123010513 70023045 45398052 83590815 1000000000000000000 995725299 226626111 95912283 41389566 1000000000000000000 337549726 93521267 138876853 175379111 1000000000000000000 732382349 511963681 376994214 170298562 1000000000000000000 888992522 619664426 321872885 152890131 1000000000000000000 157494818 8725792 137235574 87964578 1000000000000000000 860154565 838240886 71395246 562144529 1000000000000000000 318187358 48058318 281808660 186341790 1000000000000000000 842204727 831702446 190377352 251611892 1000000000000000000 191384910 11210238 182662021 148798070 1000000000000000000 346191414 178556853 230813258 125996583 1000000000000000000 758035367 615187840 13723770 613074077 1000000000000000000 352063268 304776563 82814678 239778774 1000000000000000000 25444761 23053881 9840527 10874761 1000000000000000000 980120612 452984158 866913510 664634379 1000000000000000000 90828073 10939773 20009949 70209474 1000000000000000000 777746212 179134007 488426862 396817511 1000000000000000000 416647578 110371272 8055038 139033542 1000000000000000000 392405961 58531082 189349934 165764241 1000000000000000000 958839832 466828170 516149202 911346176 1000000000000000000 945272537 508006102 448745278 365788276 1000000000000000000 747566367 276429382 84537938 91906683 1000000000000000000 73216962 38517411 60999196 8425436 1000000000000000000 794659110 633791267 634953402 733917573 1000000000000000000 720883870 280323153 380125885 216036730 1000000000000000000 244130048 169902953 6119668 39386819 1000000000000000000 443644392 370096766 72913323 211389031 1000000000000000000 507932924 261037420 47638413 217000609 1000000000000000000 225957607 31172371 69116403 92066565 1000000000000000000 337855716 214957950 319697709 230561059 1000000000000000000 617236405 589877245 159360908 92484608 1000000000000000000 84010080 35239277 14670085 81019766 1000000000000000000 458268848 433610055 124275374 259466072 1000000000000000000 579338104 271078726 317497624 119656208 1000000000000000000 282209727 217394901 265482183 258406924 1000000000000000000 241321146 215454127 171884180 214959725 1000000000000000000 175719191 19844572 41988390 161944060 1000000000000000000 55953605 15083797 2049040 2759614 1000000000000000000 125113051 33619368 25330273 41124196 1000000000000000000 261854270 178885670 35650506 201128468 1000000000000000000 960465499 501403382 662251227 859935618 1000000000000000000 222149881 180989064 129527000 118088284 1000000000000000000 97822347 6274557 68792164 2259380 1000000000000000000 66186322 32081894 35259629 33730576 1000000000000000000 408545951 110029457 258738346 158466641 1000000000000000000 86783734 21588665 6617126 71989276 1000000000000000000 845445829 236360637 233347647 701422115 1000000000000000000 188514058 71836170 176927243 2919259 1000000000000000000 825874227 42070717 106719494 129288921 1000000000000000000 710688549 349011494 613620217 126549972 1000000000000000000 8561717 5090440 5292096 1361366 1000000000000000000 886024534 209509435 306711578 483321079 1000000000000000000 327074171 98555827 216727 26847587 1000000000000000000 482186792 444210402 198905017 464855636 1000000000000000000 456169449 21509131 446267516 339688158 1000000000000000000 987087808 473695075 361773470 180918403 1000000000000000000 753274004 611116503 72198320 705018035 1000000000000000000 355835778 280433494 254232162 89271274 1000000000000000000 503824426 359142449 62298435 250834781 1000000000000000000 371131534 23234704 321914561 181435787 1000000000000000000 766792169 462382322 620606684 694528413 1000000000000000000 335460267 59617959 147411051 269225795 1000000000000000000 771766281 402367090 536394748 247882239 1000000000000000000 529452128 384933356 40019278 122023488 1000000000000000000 439449232 376203373 140718478 50967440 1000000000000000000 252335872 154609632 102853762 170418473 1000000000000000000 839232069 287051110 337645900 629069501 1000000000000000000 9775513 1599636 4229016 7269669 1000000000000000000 393431911 66242211 372428475 191662173 1000000000000000000 818025503 553334491 197018253 473010893 1000000000000000000 857938456 490872498 813905685 494734123 1000000000000000000 937507063 213471033 381707646 574841352 1000000000000000000 574454756 68581443 480054929 36463732 1000000000000000000 228472996 133976137 168145288 155147346 1000000000000000000 798869076 600736333 705144140 211549130 1000000000000000000 600600332 597540516 348221258 299585810 1000000000000000000 795995418 511993501 705081549 744526884 1000000000000000000 673247308 291894175 446376396 209311843 1000000000000000000 100999163 21974334 64705143 7365561 1000000000000000000 900244906 75045241 684108739 360692587 1000000000000000000 88045381 73980948 10531788 48545776 1000000000000000000 846239577 192321990 280613331 483174864 1000000000000000000 599536329 223167417 219460696 177981076 1000000000000000000 171815086 87676363 34958495 78566028 1000000000000000000 302602174 41671256 302368308 255804797 1000000000000000000 818723116 477141477 450936012 231600663 1000000000000000000 532675808 511568338 102063291 388830766 1000000000000000000 771618363 699232022 192642958 204654682 1000000000000000000 362499331 234095522 115412928 298705673 1000000000000000000 592145470 75292562 205881263 2975021 1000000000000000000 264690737 133510885 165346975 201245773 1000000000000000000 245842136 190406765 7271786 178436049 1000000000000000000 572664519 64058883 137927843 468521869 1000000000000000000 487052566 144043991 62368940 211609813 1000000000000000000 218781120 191066970 177063031 88166490 1000000000000000000 670050911 146017370 396069464 410573167 1000000000000000000 196718223 155214503 19006789 56890360 1000000000000000000 358911232 130426774 353225280 85044471 1000000000000000000 811028397 418246468 299103650 146722245 1000000000000000000 341752898 209082924 92802294 223441553 1000000000000000000 304325337 96301888 87173391 12887664 1000000000000000000 862635900 595562737 326989555 743185435 1000000000000000000 223538897 96336679 53378702 74210591 1000000000000000000 613994218 517264748 259575704 197455017 1000000000000000000 131707611 43534350 19964934 7823378 1000000000000000000 676735895 224548904 674217759 490213192 1000000000000000000 223294511 183426026 41541893 93791735 1000000000000000000 407147334 305702416 160491415 347697360 1000000000000000000 483780167 471011179 184794139 205158733 1000000000000000000 100657070 63626593 69411026 90299924 1000000000000000000 104962822 52693463 50428518 53850300 1000000000000000000 716471467 472142280 637809799 510326124 1000000000000000000 638184777 254809708 33060329 435482830 1000000000000000000 425925449 9531183 200571208 369370941 1000000000000000000 197993924 150997784 149171266 196907969 1000000000000000000 932291470 706726246 677510189 84759779 1000000000000000000 910404672 158597501 557050998 876395590 1000000000000000000 135995603 74330434 103250763 5019840 1000000000000000000 43868318 33635800 20770446 6942119 1000000000000000000 802159652 85027367 689019219 169780466 1000000000000000000 10861403 2768109 4114891 154552 1000000000000000000 352192167 173938495 25878252 271570336 1000000000000000000 584647158 402481690 560107343 146698958 1000000000000000000 650949689 527387602 255719867 627276569 1000000000000000000 79649979 79060994 79614033 52804650 1000000000000000000 685373 1211 515559 76736 1000000000000000000 356136465 245655672 90176144 346841296 1000000000000000000 350604225 83222772 39270661 60763650 1000000000000000000 774677154 181613682 460322981 223816996 1000000000000000000 372726048 99919104 146000339 357329209 1000000000000000000 288237669 105012420 241130136 240153277 1000000000000000000 467964675 8802502 53099225 311386734 1000000000000000000 107299796 34212278 80004258 70564447 1000000000000000000 186549825 33705793 135918827 178176099 1000000000000000000 898106035 792179339 88735268 27091343 1000000000000000000 936940556 598308400 272889256 380687936 1000000000000000000 550522499 512849124 309448664 25941010 1000000000000000000 437527453 306986211 62968590 361128488 1000000000000000000 608007533 307864669 545684363 350579584 1000000000000000000 817236409 171738800 173453934 390021672 1000000000000000000 217483465 166717935 46191129 194497295 1000000000000000000 906280031 768192409 366313485 418461099 1000000000000000000 610801293 401509655 329679947 396866602 1000000000000000000 212797823 164810240 189660838 48609511 1000000000000000000 494914170 444303227 333243429 77906392 1000000000000000000 815413410 377400051 438638643 110288104 1000000000000000000 90316708 75851396 40953629 26123114 1000000000000000000 166598974 37386821 61589263 77536236 1000000000000000000 397980288 397845564 302440666 59181390 1000000000000000000 47810871 28107358 15410164 42979805 1000000000000000000 959833255 597469162 893487692 436818608 1000000000000000000 442053444 240354665 58120803 149342584 1000000000000000000 564212980 335211303 241632544 553030913 1000000000000000000 46135858 12921798 15025322 24011303 1000000000000000000 791731873 682830076 778952107 616614927 1000000000000000000 913600791 492058700 491583619 787533552 1000000000000000000 328559836 112957120 168808550 111345171 1000000000000000000 515987944 102843041 114705316 464237588 1000000000000000000 144201587 123239612 90446137 39129195 1000000000000000000 922064235 704020868 512073283 415593734 1000000000000000000 95411896 28450465 80040477 63823936 1000000000000000000 439699035 41653764 52325176 393407734 1000000000000000000 74870322 6145747 58871888 26847174 1000000000000000000 334956067 309991928 1461051 249838948 1000000000000000000 576632887 452168275 402614865 160067791 1000000000000000000 410451581 131773490 189460425 158162607 1000000000000000000 834671526 366235657 156489908 596911121 1000000000000000000 194191672 91432564 96107346 21589148 1000000000000000000 860222777 762925224 237379366 511729982 1000000000000000000 850414870 70861320 448609938 282435897 1000000000000000000 776455830 201442141 631964446 473779815 1000000000000000000 157095856 8945863 87535956 139216709 1000000000000000000 870147032 640566933 821789339 808353565 1000000000000000000 835451883 404404921 225461436 141699345 1000000000000000000 324493055 293470700 75739931 43492650 1000000000000000000 145753257 90746561 74362230 15963050 1000000000000000000 330832024 157200118 33480962 138185670 1000000000000000000 954414570 53627405 426373338 529505701 1000000000000000000 33424417 9835081 21643694 31241194 1000000000000000000 457733516 136036295 314725918 308346627 1000000000000000000 774762484 233052911 686460050 536722443 1000000000000000000 175945710 48241127 16397864 60386669 1000000000000000000 671154843 492849598 200147930 13044829 1000000000000000000 262484389 124997146 55706164 262481555 1000000000000000000 717102197 587653077 557964902 122469095 1000000000000000000 674901341 335377748 126481502 609871372 1000000000000000000 282046750 66706838 114096717 109692909 1000000000000000000 989334470 899761078 503399744 235333587 1000000000000000000 774240739 322518591 456241957 557746104 1000000000000000000 219264136 87565156 126802500 1654999 1000000000000000000 74858607 23646393 69427733 59379798 1000000000000000000 922996683 870363845 363447126 89001308 1000000000000000000 32393340 18074479 32044357 20336833 1000000000000000000 839465502 467412796 388867357 422578241 1000000000000000000 432836570 52482079 334388957 425340134 1000000000000000000 972271927 56445740 894220497 73530774 1000000000000000000 628340588 65224672 2319370 520544001 1000000000000000000 695914871 226720372 470050994 424353771 1000000000000000000 280731124 54409955 222277167 41558615 1000000000000000000 833550057 411161065 722644965 169421999 1000000000000000000 994534016 903448097 171314704 763722893 1000000000000000000 760893929 323218256 473789110 210386294 1000000000000000000 93180920 47299948 61989624 92176808 1000000000000000000 882197407 457020024 104078496 334525924 1000000000000000000 229698954 76712673 206909160 169458961 1000000000000000000 698658035 287373418 230850800 530277314 1000000000000000000 642266159 170395862 592211280 66311359 1000000000000000000 747759551 452341562 465667375 141622412 1000000000000000000 522840512 453794022 284124412 76192400 1000000000000000000 424635022 207442493 210739906 405027447 1000000000000000000 881659161 105602782 274127434 482297186 1000000000000000000 291082451 231511279 123177454 253390562 1000000000000000000 673447983 161504844 531727707 162093364 1000000000000000000 414113512 324888967 142527707 93080856 1000000000000000000 170486458 142786907 56326417 85865541 1000000000000000000 927381917 146810195 118344190 462145678 1000000000000000000 645776250 116713499 218403584 163452645 1000000000000000000 715080120 59871108 403077456 120854372 1000000000000000000 612983954 211101731 459021705 478300061 1000000000000000000 583129665 218623881 174045228 396451217 1000000000000000000 402374807 215724940 76071959 287956571 1000000000000000000 728394301 53497038 429857617 375650495 1000000000000000000 710042751 125913500 582785106 534122337 1000000000000000000 753612721 311165631 247503082 203374645 1000000000000000000 902938020 74131562 274827076 478651425 1000000000000000000 234899689 116622669 55754855 171291139 1000000000000000000 558484915 18438684 355772690 245854849 1000000000000000000 47143110 22397243 33980336 28167415 1000000000000000000 988259704 422263557 849065756 454251784 1000000000000000000 123399974 46435930 87578542 76806656 1000000000000000000 801818179 176489283 326059279 689589888 1000000000000000000 558547074 48474455 342421626 46300389 1000000000000000000 473043209 55282043 411203108 396596665 1000000000000000000 86750092 52822244 69516737 22837896 1000000000000000000 444492021 3754032 153593474 171634559 1000000000000000000 262962811 73087448 134773208 96672797 1000000000000000000 90478289 72706025 23853143 32832061 1000000000000000000 629550672 242372911 442755117 505017858 1000000000000000000 359878300 338693102 224407298 257715683 1000000000000000000 451489822 329255353 440840440 401596066 1000000000000000000 60620911 29326338 42336631 56506744 1000000000000000000 991085449 466018856 286657465 218711108 1000000000000000000 664933278 178915637 589700370 195013058 1000000000000000000 458540581 9883131 160323511 318382329 1000000000000000000 349996761 211248984 194542577 144420140 1000000000000000000 843867040 89732422 777982734 337897230 1000000000000000000 521437760 115206857 267571842 184888785 1000000000000000000 280697489 39118540 56414730 99870040 1000000000000000000 294653970 95428408 212201772 233453520 1000000000000000000 298799610 63140577 262363688 100952949 1000000000000000000 870391730 436218427 846273829 20184994 1000000000000000000 774588056 434994271 474164883 609468621 1000000000000000000 120218904 14306560 117835138 58912688 1000000000000000000 617998791 303157623 251416626 7353108 1000000000000000000 82678367 39591798 37912358 76509515 1000000000000000000 181606279 59561509 12979302 43358174 1000000000000000000 925420499 292649881 604165116 330966600 1000000000000000000 2330287 1548495 846514 202271 1000000000000000000 420357066 179505825 386044211 1394051 1000000000000000000 448471687 3580643 277116541 213255434 1000000000000000000 211374007 103752569 49027757 196374893 1000000000000000000 56239509 11077762 26550132 34088611 1000000000000000000 101634439 17252736 56304625 98768704 1000000000000000000 167899875 12718262 11097476 50575814 1000000000000000000 401198769 328467895 163789469 276519997 1000000000000000000 316468502 257475973 124767440 62778747 1000000000000000000 51169477 49030744 23566210 33715732 1000000000000000000 662107007 429787175 56713418 557945799 1000000000000000000 476003893 1053065 243429277 112547078 1000000000000000000 928653046 827359101 612278021 645441555 1000000000000000000 377649506 277479402 180432644 227625148 1000000000000000000 694920548 119778808 293580589 16598653 1000000000000000000 956698996 446988767 532041672 766101185 1000000000000000000 986871031 344593923 379167053 707873149 1000000000000000000 961844488 410961055 512510097 112948576 1000000000000000000 461148187 366470320 334673509 459628241 1000000000000000000 859253882 338450760 162598655 630128315 1000000000000000000 150613206 17342847 36329201 144567886 1000000000000000000 956048672 714844323 115148928 476925121 1000000000000000000 493570907 145687062 359012702 98949126 1000000000000000000 777261833 230671997 495284859 469498158 1000000000000000000 721262512 569296114 4524623 644782170 1000000000000000000 251081626 241572000 229420695 197474174 1000000000000000000 74210441 42354298 49445761 8859269 1000000000000000000 383489479 26827846 74033702 292093748 1000000000000000000 74143656 25112919 44574444 13680721 1000000000000000000 987398848 805082170 928047386 564266971 1000000000000000000 711021855 2636134 513141601 165547008 1000000000000000000 167879015 13868882 21037453 38333798 1000000000000000000 44243874 23963545 760323 31117796 1000000000000000000 505418244 123253396 240019038 378355764 1000000000000000000 720469851 116373319 47711873 180370714 1000000000000000000 740635947 655545774 180473185 579693055 1000000000000000000 112817582 15586343 62884116 31315831 1000000000000000000 100197900 72058680 1111822 29311025 1000000000000000000 89169637 42596958 66467603 70941371 1000000000000000000 724080223 435162862 588402493 269840196 1000000000000000000 969626376 557252247 388852631 206818098 1000000000000000000 337220540 222005956 41913070 38311705 1000000000000000000 769081694 181524017 340377800 508617149 1000000000000000000 596074794 168828167 506152367 494126704 1000000000000000000 196081693 98438999 3241854 187213107 1000000000000000000 544166436 20077765 362172543 158127201 1000000000000000000 333098983 283751969 73569909 202835627 1000000000000000000 992675360 470543360 793634193 949165055 1000000000000000000 724958845 9911537 656540987 605358819 1000000000000000000 38347488 32047983 38118656 477573 1000000000000000000 811485701 302263315 158555817 219146139 1000000000000000000 879327671 6398869 608898366 226158072 1000000000000000000 912630989 51345611 810560065 871572443 1000000000000000000 814265643 621635776 256898719 127609062 1000000000000000000 981935100 297106279 595576043 251584 1000000000000000000 938347706 153670459 4497168 801714999 1000000000000000000 204601250 74869376 99348780 103568871 1000000000000000000 83632619 39104924 2854184 40772511 1000000000000000000 824332745 283235385 580485039 325828945 1000000000000000000 593051222 561825496 152828439 83696233 1000000000000000000 944667641 649489403 664368309 348167700 1000000000000000000 214990208 116758165 185914737 151311164 1000000000000000000 80664511 80515516 30752384 62413797 1000000000000000000 870803638 761331498 379544698 163054259 1000000000000000000 681614181 204081226 436874238 403256043 1000000000000000000 566989506 427137918 252570315 160480244 1000000000000000000 21462297 4410624 18513324 3815864 1000000000000000000 377555805 252863198 19252688 68354607 1000000000000000000 448160332 430275742 408144329 282411177 1000000000000000000 367481699 168651287 75085636 8669763 1000000000000000000 319939833 61994882 163130926 256206066 1000000000000000000 291169313 33848681 241068041 228545428 1000000000000000000 739811963 595171437 568785340 311031559 1000000000000000000 254369542 231200109 221194652 181138866 1000000000000000000 890795266 845129217 202116455 14489525 1000000000000000000 161063627 44224840 118450084 152038428 1000000000000000000 788758813 585851931 287729973 346497497 1000000000000000000 734430236 331295658 6161875 393933452 1000000000000000000 853260591 696919734 686458231 90848990 1000000000000000000 834323500 650108368 378258107 334714729 1000000000000000000 875540388 206481902 502924374 3727261 1000000000000000000 824180452 485453883 145687519 226507915 1000000000000000000 731279032 460640768 419841518 270613307 1000000000000000000 850261294 683512520 98943126 352577439 1000000000000000000 943185730 848673468 20476055 449713867 1000000000000000000 940630297 352488420 593636793 368202507 1000000000000000000 484663982 110718890 360930731 140028587 1000000000000000000 574947658 89060041 46245653 569703834 1000000000000000000 958401694 448117541 163732602 940954894 1000000000000000000 885734841 863500914 630212537 797884009 1000000000000000000 188929282 103592326 11443153 172888120 1000000000000000000 440211352 68964416 176705874 380478285 1000000000000000000 587133848 353768915 521083591 20846516 1000000000000000000 728012910 318587086 519098463 353254303 1000000000000000000 885035339 620116817 639085689 869894805 1000000000000000000 267267076 247099804 89744511 12493118 1000000000000000000 642227363 497736429 490264081 564695961 1000000000000000000 991913521 929139384 729283648 937265445 1000000000000000000 399527395 234835704 342284619 225831739 1000000000000000000 204053828 11427465 34681969 117494030 1000000000000000000 472345384 432387703 449603753 369180510 1000000000000000000 869644423 249927735 394177783 449339690 1000000000000000000 150473050 64295729 7226973 23119849 1000000000000000000 965498718 357472643 544886313 765385705 1000000000000000000 60985652 56671305 3932806 7157252 1000000000000000000 631599553 194184592 500669903 249397796 1000000000000000000 545794773 485944381 544513404 277711528 1000000000000000000 989475341 4829024 637765370 703649554 1000000000000000000 874986640 432093326 319814669 807555743 1000000000000000000 734758434 477909730 733536132 4951541 1000000000000000000 984089777 766553693 650891841 538555822 1000000000000000000 875294116 201626557 463143981 291554795 1000000000000000000 364310235 56515280 243015427 313717744 1000000000000000000 485175527 312523744 239322917 64226902 1000000000000000000 477367736 16200883 310428744 436456642 1000000000000000000 462246022 2115905 421082280 44806369 1000000000000000000 395430483 272920685 327760946 230236568 1000000000000000000 619508328 59184322 441346456 99421729 1000000000000000000 985424590 694332774 158398257 524722755 1000000000000000000 957302088 801113006 190530335 422758043 1000000000000000000 511620722 461627678 260775023 305790688 1000000000000000000 980877691 230093727 697848672 134835086 1000000000000000000 786446971 371240523 381274803 409663385 1000000000000000000 90836189 78484840 19996227 46017863 1000000000000000000 122599419 63180366 66631133 66952790 1000000000000000000 333131690 132544700 71783498 48735748 1000000000000000000 146641953 56696737 102816090 70076385 1000000000000000000 762793866 15574911 624894687 319045904 1000000000000000000 228652435 211624978 132317072 51203370 1000000000000000000 82145122 67844046 51852887 1643825 1000000000000000000 991692525 507751485 900821445 287164837 1000000000000000000 895051646 473450816 792029055 398228403 1000000000000000000 993420803 813342942 682421387 231780849 1000000000000000000 277374166 57592553 189796380 135502601 1000000000000000000 48612884 2126435 25584805 1646317 1000000000000000000 828796762 708926620 806429810 547386492 1000000000000000000 601642596 485055928 493723121 169642982 1000000000000000000 741513493 635440016 387864327 186618796 1000000000000000000 26379667 17182079 12050571 6919237 1000000000000000000 441586106 116533475 20393689 425266677 1000000000000000000 121856016 118121756 84324599 67368508 1000000000000000000 371259794 20007465 287753888 229319028 1000000000000000000 672146392 513182756 573262390 82146251 1000000000000000000 610230265 76665134 306411396 115513370 1000000000000000000 253120565 201221997 27133744 51727730 1000000000000000000 265261098 7074932 167555341 29447540 1000000000000000000 83687956 26874943 7239549 13187493 1000000000000000000 438801775 116238499 199869379 26108661 1000000000000000000 694454903 613827438 510046544 43422975 1000000000000000000 483564894 401538970 117040358 241252755 1000000000000000000 578252865 253561700 248641060 43032128 1000000000000000000 54169908 18646588 24958078 52810274 1000000000000000000 163849213 11435222 33381902 89142434 1000000000000000000 105908544 86286599 81413875 26195444 1000000000000000000 531807624 170996549 445286320 504141238 1000000000000000000 729840778 216848294 497744042 551534126 1000000000000000000 259993703 31406370 26029011 247026000 1000000000000000000 340703278 298733415 329018356 179587161 1000000000000000000 21031175 17402024 20499076 936709 1000000000000000000 341178419 215270935 248401841 267438605 1000000000000000000 191468443 101214760 102674097 52854535 1000000000000000000 9306323 1486853 4820567 8051864 1000000000000000000 447376225 220086692 12783217 398445356 1000000000000000000 622700311 38248947 429301112 103364156 1000000000000000000 471174789 279414454 72075844 389002792 1000000000000000000 833166303 804190589 124330982 650690697 1000000000000000000 655536583 509314504 245857024 140822304 1000000000000000000 464555958 398194886 14078451 303436465 1000000000000000000 319387086 247102233 297252083 135568739 1000000000000000000 28940319 21110925 28583937 8647493 1000000000000000000 12109895 2169432 252210 10091876 1000000000000000000 198376486 87183519 12122632 193377415 1000000000000000000 675920267 402184414 602105816 491572369 1000000000000000000 73015415 57223573 68267348 5643611 1000000000000000000 773521677 192533061 500922377 405079254 1000000000000000000 109603861 5562779 94923946 33485834 1000000000000000000 587932828 279412830 543962339 309292516 1000000000000000000 542738173 262821716 113368642 391915793 1000000000000000000 629486221 158172605 303745130 174479117 1000000000000000000 560350624 177329047 355593380 268209665 1000000000000000000 849876666 451949034 809037449 438783492 1000000000000000000 724634691 146602090 217456600 654440010 1000000000000000000 560780260 215206914 506065808 177373062 1000000000000000000 921022453 393982334 799108623 262157376 1000000000000000000 612196900 393176056 391580690 491365546 1000000000000000000 965719119 310794653 516224692 629825602 1000000000000000000 618783821 602599806 297420831 102685171 1000000000000000000 270468954 86823800 175391236 90660940 1000000000000000000 942329231 850482424 616308223 380091950 1000000000000000000 863991070 448509788 337631725 733254834 1000000000000000000 400100401 384347524 31317138 110033428 1000000000000000000 393110539 332894817 4714103 296657464 1000000000000000000 133380481 131417214 57772811 107190199 1000000000000000000 131525112 107268341 23215043 64538633 1000000000000000000 919258803 585780607 373963452 338758383 1000000000000000000 700889245 648449112 13116544 506848003 1000000000000000000 132233771 35165892 28458133 27544728 1000000000000000000 585767063 36291821 201655363 43700488 1000000000000000000 403510504 9480567 13815217 164035752 1000000000000000000 421194772 88074881 67567410 160643366 1000000000000000000 834047690 700805306 121122914 405383892 1000000000000000000 659672020 19949690 395766136 337661855 1000000000000000000 509282161 95035454 389380700 156845167 1000000000000000000 896911025 655510520 122447350 588321188 1000000000000000000 416964897 205409652 36974419 320479816 1000000000000000000 308897629 119253934 207454476 164117144 1000000000000000000 952116924 327955826 376712212 534916116 1000000000000000000 991894817 225696304 362883579 856799433 1000000000000000000 633261299 331414513 203253354 372369 1000000000000000000 268166636 242457866 68548827 104357721 1000000000000000000 791236451 485377610 715190658 551590473 1000000000000000000 562495440 91293086 177868273 185165441 1000000000000000000 271724901 212559307 120564284 6167715 1000000000000000000 468539115 215719207 460140358 24237095 1000000000000000000 4842223 1822695 356922 4488496 1000000000000000000 168930617 160864726 99001048 40818763 1000000000000000000 504276730 497040457 435701467 367843221 1000000000000000000 14724029 12870900 9262621 13371975 1000000000000000000 869540580 287228445 184205629 765713202 1000000000000000000 445817948 421280904 78758411 115912104 1000000000000000000 718114858 72511107 575373779 601070415 1000000000000000000 795591629 89557391 457940556 728169134 1000000000000000000 801246861 755725070 689252109 312839807 1000000000000000000 182517201 153600676 79126764 63429517 1000000000000000000 901660975 547179628 528128093 786086486 1000000000000000000 893416109 246256188 124280902 867520345 1000000000000000000 933740134 702808733 344313521 857299848 1000000000000000000 880213553 266839893 103100497 354023056 1000000000000000000 11260020 3394265 10535549 4035795 1000000000000000000 17058371 8086881 686258 3850817 1000000000000000000 698939317 119810417 200495641 139178306 1000000000000000000 399354200 165300397 286050670 232737888 1000000000000000000 566348860 62962153 54411875 312634611 1000000000000000000 104448844 27937853 41839090 49973212 1000000000000000000 592912875 150945327 245531585 291212528 1000000000000000000 199991372 114456790 111066907 92817818 1000000000000000000 608465920 240062204 109097932 571570988 1000000000000000000 869160553 356121934 714834821 670715437 1000000000000000000 191430219 186679065 115654497 30452726 1000000000000000000 800953569 217249952 390335817 782020679 1000000000000000000 531760811 143784535 153465917 288323244 1000000000000000000 465955250 10645147 230949470 173654288 1000000000000000000 230199212 112140629 18786542 75203418 1000000000000000000 20921792 3947545 2440721 15253590 1000000000000000000 917606508 548442495 145260373 777102797 1000000000000000000 851532103 468864556 133299828 389838163 1000000000000000000 817001927 554142921 29840280 607488902 1000000000000000000 435153978 296187348 424800970 340432262 1000000000000000000 217138043 21433535 83564267 5263090 1000000000000000000 983726280 941184530 787849835 776017880 1000000000000000000 343896080 189055098 284594152 123559150 1000000000000000000 855985371 19315149 792229960 697154359 1000000000000000000 918679609 289110683 198057757 242686423 1000000000000000000 711662715 678413192 204825632 98980192 1000000000000000000 562315582 318182115 171435582 363315313 1000000000000000000 30679117 17482510 4282350 9937763 1000000000000000000 748692762 728339362 430717459 515346597 1000000000000000000 299215059 262196929 198976634 30504491 1000000000000000000 69218855 44032539 26203404 2247331 1000000000000000000 564793460 217692290 250451364 350585724 1000000000000000000 499688639 79968067 279217467 272142952 1000000000000000000 415172998 241857940 393073416 178626572 1000000000000000000 813217294 559198508 310522977 735747989 1000000000000000000 451093097 12416751 192813058 365484016 1000000000000000000 111026073 21724522 85021719 72528531 1000000000000000000 283580259 146917227 82272412 169177762 1000000000000000000 57196484 34652345 20393883 40448131 1000000000000000000 275240136 186551040 162380886 107013898 1000000000000000000 30312081 21396397 24937122 16517611 1000000000000000000 183980886 135291942 108629250 80100968 1000000000000000000 950852143 586266701 417829007 44372863 1000000000000000000 947179343 635244977 820179881 711532687 1000000000000000000 41327669 2963693 15260726 22576931 1000000000000000000 299132763 293729317 149266126 192631486 1000000000000000000 777172944 24814152 272874468 614502929 1000000000000000000 388348197 125788138 38138103 129096394 1000000000000000000 579178737 540044007 151475952 432961527 1000000000000000000 768232462 622054893 738917977 246133453 1000000000000000000 111665429 2619377 416623 111511973 1000000000000000000 231092464 88686002 81926137 67721575 1000000000000000000 820316336 719156780 647177498 551294049 1000000000000000000 769066546 421873514 429797701 1816604 1000000000000000000 398143387 163586307 304582862 278740410 1000000000000000000 493232718 414941192 278356063 318413013 1000000000000000000 582570181 412316032 174184646 13736487 1000000000000000000 503055500 487261304 244588498 86227823 1000000000000000000 33143333 3500364 23920168 11420419 1000000000000000000 776623127 334640330 76175096 621019592 1000000000000000000 978180052 933354328 516221925 740814225 1000000000000000000 185874646 26097745 144687240 145205940 1000000000000000000 711452059 426714812 515635818 17481623 1000000000000000000 812274316 272886587 333584351 803948223 1000000000000000000 386925174 257259214 121122249 132148346 1000000000000000000 284559967 237868730 247356114 12191119 1000000000000000000 195319720 74427394 35718620 61124175 1000000000000000000 882414194 798930486 281437146 620260922 1000000000000000000 978808785 482380852 151060510 444643531 1000000000000000000 639143437 367391108 25294854 314170436 1000000000000000000 847442354 833226330 255440957 209274464 1000000000000000000 62247344 35729534 48187841 21803481 1000000000000000000 568739451 422587638 187495341 166735273 1000000000000000000 957770118 428874931 627909885 643050431 1000000000000000000 83270569 1431326 28577711 1154529 1000000000000000000 315078878 141514 256482371 13646809 1000000000000000000 682900636 582440159 146899000 555437079 1000000000000000000 950002442 447194677 340968452 384234101 1000000000000000000 224169243 190372710 147429068 127977952 1000000000000000000 408838880 276286891 176768045 343770427 1000000000000000000 927594153 637686343 810512267 699183334 1000000000000000000 203541405 191129544 15852771 103146894 1000000000000000000 675721426 489972084 434180936 486676784 1000000000000000000 172482545 121830375 88840198 89628492 1000000000000000000 605244121 54462299 216472560 149836344 1000000000000000000 873689431 315710962 210914808 480736636 1000000000000000000 884245787 451668332 290778887 564956151 1000000000000000000 644511379 473035579 424064995 221033508 1000000000000000000 765597004 650178304 456179546 550761639 1000000000000000000 443265674 220309495 89705512 352503362 1000000000000000000 540310389 174661347 108782423 119596245 1000000000000000000 58712755 39062616 14228049 13256497 1000000000000000000 667805257 89360865 420878010 178082410 1000000000000000000 457508062 48250654 198868081 293772063 1000000000000000000 864556712 790380077 543597934 754720979 1000000000000000000 937137949 575547274 31579926 735743842 1000000000000000000 422459355 174669985 14619269 246888844 1000000000000000000 779623443 74611718 212556585 496387110 1000000000000000000 430605279 100394405 155468996 191526641 1000000000000000000 917099190 643332313 262950367 515091489 1000000000000000000 932585338 64690821 316236394 6272283 1000000000000000000 117359137 83267991 19015387 32371038 1000000000000000000 75153541 59950945 24758173 47833847 1000000000000000000 120522084 48876916 82131649 12630297 1000000000000000000 198707318 148336693 82655772 111426188 1000000000000000000 198697413 109882600 77900823 181928483 1000000000000000000 843565375 193234864 99902286 2377745 1000000000000000000 185118567 131068350 121406762 69726518 1000000000000000000 762332411 583314941 709427912 50381023 1000000000000000000 444520237 200976681 272810532 136328732 1000000000000000000 200820030 197041127 24921199 21308333 1000000000000000000 35408560 15274290 24263738 23845516 1000000000000000000 153762242 131135583 38125665 54933346 1000000000000000000 779677532 174757134 406544970 256800165 1000000000000000000 52638494 16320152 7650506 41165008 1000000000000000000 786151282 210317521 172328826 99597785 1000000000000000000 616363803 558018754 184952981 239750200 1000000000000000000 731633642 406312148 307731519 686465571 1000000000000000000 475804953 309207372 77381732 255320108 1000000000000000000 988936623 103382600 109309470 605337918 1000000000000000000 226540816 106682104 195079086 27126127 1000000000000000000 181006074 271213 13152105 170447891 1000000000000000000 109797353 28366797 70290003 39034138 1000000000000000000 507894153 426084063 343743153 325416697 1000000000000000000 181015726 180678582 33913826 88937099 1000000000000000000 302208448 250969146 131919284 218450115 1000000000000000000 892992595 128439479 341252531 128814202 1000000000000000000 382227809 282337577 376586411 324588542 1000000000000000000 146192635 116764895 86340350 113560955 1000000000000000000 487903286 183554435 297111789 358105770 1000000000000000000 692079073 566233485 621683339 69464449 1000000000000000000 761479852 2793771 287534073 580630953 1000000000000000000 47926695 6020671 47258584 17926070 1000000000000000000 582904461 69981571 121960800 520047075 1000000000000000000 985323898 878339271 475444414 240446406 1000000000000000000 510147052 286737458 176158536 163747249 1000000000000000000 374637450 328164815 149705024 342939784 1000000000000000000 765724579 687047719 641716799 579110820 1000000000000000000 96933172 18432782 35282671 32314007 1000000000000000000 426970414 282812241 121091519 360163117 1000000000000000000 588911086 54173153 568776937 150138901 1000000000000000000 21162571 4867190 20683622 1324336 1000000000000000000 63526821 28627520 44499632 3425311 1000000000000000000 277974098 159390327 98198334 95777713 1000000000000000000 974298776 453446990 49034616 3918138 1000000000000000000 504109160 203253276 498809324 379127969 1000000000000000000 71875938 5388077 34335962 1478985 1000000000000000000 113327682 74104042 61782719 107043313 1000000000000000000 783849891 175408098 687405372 78461823 1000000000000000000 34000156 12177073 7233671 8269425 1000000000000000000 890829768 277962387 311824138 140020710 1000000000000000000 168396076 136598792 61713229 103775756 1000000000000000000 589397743 371758853 117351819 324018962 1000000000000000000 927503261 710429745 624079594 701657771 1000000000000000000 568706492 25939272 181738483 455428851 1000000000000000000 554450157 212708366 37298808 355739015 1000000000000000000 835106208 549288162 61651001 170685110 1000000000000000000 450065953 272797221 411782756 115175201 1000000000000000000 890430091 38963186 332741682 631305830 1000000000000000000 474108670 221103102 215835487 179454615 1000000000000000000 320375073 226477512 34816883 275479886 1000000000000000000 803190203 662893746 236511384 468331901 1000000000000000000 390850954 312962560 141898768 201152872 1000000000000000000 949732313 736784339 131976925 857808056 1000000000000000000 665939457 133808595 117707719 205136845 1000000000000000000 68435194 66739794 16478870 35535044 1000000000000000000 47962698 14011943 26443307 18473942 1000000000000000000 694304561 129145177 1983741 590977533 1000000000000000000 242986183 151535010 19467853 182301411 1000000000000000000 92964902 77282717 4759800 82074158 1000000000000000000 184463070 121128487 52671101 116518064 1000000000000000000 933150925 653957619 170441522 343226370 1000000000000000000 961871391 756477564 217834951 907697697 1000000000000000000 840206403 687404699 708427796 315198627 1000000000000000000 203804775 129511873 165038732 99263611 1000000000000000000 220978623 219744886 14700667 81309664 1000000000000000000 629823816 162276632 171673679 349803620 1000000000000000000 750228181 463053486 513667159 14859186 1000000000000000000 807686195 195561026 361813910 180294831 1000000000000000000 737463548 685306064 234867772 396722720 1000000000000000000 66527962 17510160 7322617 29532918 1000000000000000000 162591112 12434085 10429915 16588688 1000000000000000000 595067012 463887092 305158289 537036250 1000000000000000000 19447920 19183668 11355962 15764066 1000000000000000000 964314774 915414097 317997864 77582855 1000000000000000000 421249287 253981718 388570396 240872865 1000000000000000000 955327149 99557948 152690679 935856036 1000000000000000000 326278934 120365355 94997421 161084698 1000000000000000000 270086639 111515213 177109568 263005927 1000000000000000000 850379575 543419026 711950889 447876547 1000000000000000000 610097063 305335777 20441136 379874429 1000000000000000000 155920183 131564662 91332782 39159205 1000000000000000000 764814896 85986713 229744774 176235981 1000000000000000000 708706310 438960277 17350380 299736578 1000000000000000000 13890440 2175842 3939516 5492077 1000000000000000000 191828730 71369720 72816323 1559981 1000000000000000000 247166896 133369796 150561136 13489892 1000000000000000000 525063465 498572830 235508487 185693472 1000000000000000000 903520253 873077299 23820409 377421701 1000000000000000000 203111638 20244084 141234096 153321992 1000000000000000000 785163373 634400264 725501079 580701817 1000000000000000000 875389710 860788002 726854167 869486157 1000000000000000000 923136682 53907192 240263574 524135408 1000000000000000000 798890309 563453529 688271916 495029371 1000000000000000000 623359711 432188159 194483928 471573077 1000000000000000000 592989962 242039788 238809048 566817017 1000000000000000000 657543429 641901945 132998169 89963081 1000000000000000000 157815754 16432241 98194494 94758920 1000000000000000000 978188317 584507029 134734759 853507596 1000000000000000000 469922153 55962552 422752956 377101932 1000000000000000000 223623792 183229729 168442553 129817835 1000000000000000000 305149623 63127253 130252717 142159648 1000000000000000000 74512131 28494745 18324521 26789931 1000000000000000000 973090364 646535226 758514087 788303906 1000000000000000000 213768773 115007077 134366016 61111773 1000000000000000000 382620304 85041524 288862711 359549372 1000000000000000000 441752385 104494804 341361678 192034032 1000000000000000000 811201578 331427556 531151582 448695142 1000000000000000000 929201136 305325502 304932685 181000028 1000000000000000000 570746129 527336513 356397009 429500284 1000000000000000000 1666498 1650989 36417 1142068 1000000000000000000 289412620 170778851 117291215 69328193 1000000000000000000 239464678 58460364 195210234 201272108 1000000000000000000 922605777 217362303 748515893 474035212 1000000000000000000 738488382 177768176 475714477 155771309 1000000000000000000 386365852 188593487 169826531 72895238 1000000000000000000 889583149 713632856 607983606 121151987 1000000000000000000 844126416 664804522 425839452 173301664 1000000000000000000 107622522 68284713 17082455 71741779 1000000000000000000 564340700 554084388 383190780 78652511 1000000000000000000 911624923 184641549 298043936 108087146 1000000000000000000 620243267 26102530 285262582 22515160 1000000000000000000 167074062 53922462 154973695 126697844 1000000000000000000 443645549 73215497 234580831 7287343 1000000000000000000 998269408 898539913 259410689 204911733 1000000000000000000 196837640 163675359 158179032 177225092 1000000000000000000 865992806 100774915 560196270 814463483 1000000000000000000 790930663 553603491 10599712 400671354 1000000000000000000 753763018 464234725 235476310 716601888 1000000000000000000 811896408 229027438 717670602 665880223 1000000000000000000 407196895 294637824 275414206 53586834 1000000000000000000 529739208 324315679 270945176 77278109 1000000000000000000 375988036 358374711 254632205 111868260 1000000000000000000 710232146 468046237 626606419 253290726 1000000000000000000 151600282 100785679 5335464 91019852 1000000000000000000 643015143 81519252 93639292 19795327 1000000000000000000 783760126 431354595 310702792 314048404 1000000000000000000 232588199 228870079 141409704 171778754 1000000000000000000 953812950 840702746 373191188 661226734 1000000000000000000 750009564 558497496 659078981 640049289 1000000000000000000 656024632 267864217 603386106 538437091 1000000000000000000 912701922 30688734 23096026 700328712 1000000000000000000 458205050 384609649 405120108 119187972 1000000000000000000 542441043 190866404 488626357 40053054 1000000000000000000 879331271 367392480 542777235 583845701 1000000000000000000 217601305 92331581 149698826 94571103 1000000000000000000 599127585 128615731 285130968 8471698 1000000000000000000 902481777 350279555 426949099 191128905 1000000000000000000 981108104 612102326 853877420 513157584 1000000000000000000 378254972 262095685 206742204 316002237 1000000000000000000 659183019 549390976 110862407 624744064 1000000000000000000 85142463 36879713 70101940 44084312 1000000000000000000 541822376 242384134 836707 304741942 1000000000000000000 379489697 308657021 81459643 224551055 1000000000000000000 209707609 166751919 66871159 1997165 1000000000000000000 33745972 7740111 24704270 18407987 1000000000000000000 686167244 17498626 419047548 558232113 1000000000000000000 502355691 410143078 165403318 424760167 1000000000000000000 925299091 157656787 62992396 602246795 1000000000000000000 554655045 496304587 493586772 154579384 1000000000000000000 483482268 224467956 136293163 118674135 1000000000000000000 566845008 103840065 227647827 88472812 1000000000000000000 468920041 351781606 415142222 292711639 1000000000000000000 494068603 17697433 26998447 43514552 1000000000000000000 464150014 22410269 163892459 122435588 1000000000000000000 614728993 239835076 279611109 505759381 1000000000000000000 997911539 892004977 710928599 653451252 1000000000000000000 897664882 209526864 848245706 798854273 1000000000000000000 132503667 25788522 81560039 109144304 1000000000000000000 784142113 346654023 315923095 609820609 1000000000000000000 725503752 335306034 331704246 349294607 1000000000000000000 693229332 75833727 128575567 77384934 1000000000000000000 627778988 581436724 615098599 519296609 1000000000000000000 186398573 97499617 179672416 96766904 1000000000000000000 293302766 282860343 136010580 274337032 1000000000000000000 156934004 136923331 135496425 38988912 1000000000000000000 281557934 234966373 29992250 79042546 1000000000000000000 391637433 150226721 145924081 298996543 1000000000000000000 319254447 290871637 58486388 34283037 1000000000000000000 617831142 407931432 592295378 446051748 1000000000000000000 87111053 54226493 49231470 54576586 1000000000000000000 617261857 99255334 129440509 247205815 1000000000000000000 409588254 378548044 331504078 102311550 1000000000000000000 592209250 439202038 85328610 310413860 1000000000000000000 332377981 8581592 36172830 279868572 1000000000000000000 46346992 36161704 5626504 1087367 1000000000000000000 527809288 458322271 71887245 295597836 1000000000000000000 365331399 42535671 349378683 167735881 1000000000000000000 955848136 800930455 923394931 150295874 1000000000000000000 795110947 290604056 19581185 133485399 1000000000000000000 743573066 95107934 575675989 488123478 1000000000000000000 180359871 82986918 26043854 94290852 1000000000000000000 35078635 2495786 33696014 21239802 1000000000000000000 568220817 319743182 318356784 233599905 1000000000000000000 379806134 76315799 345397547 8428656 1000000000000000000 468845013 10248090 177436405 364388610 1000000000000000000 112143144 23720287 69318757 34027923 1000000000000000000 84209250 35643120 78356025 33987015 1000000000000000000 47248792 17732165 9460157 4199831 1000000000000000000 217811282 155805222 187284568 24771684 1000000000000000000 715854424 606034553 371902911 485965351 1000000000000000000 776958652 583169808 348101443 154622601 1000000000000000000 883997707 360458593 348319045 566242232 1000000000000000000 387536885 22360326 8908005 268060757 1000000000000000000 215715081 113111864 81913061 144437662 1000000000000000000 140523118 65990467 108284232 39361787 1000000000000000000 428700944 152715233 312139760 173980156 1000000000000000000 554275215 446793819 23913101 370404709 1000000000000000000 640743784 125424195 601381351 441394531 1000000000000000000 134676525 20196089 91712704 93919608 1000000000000000000 204590249 108525364 60297487 14332936 1000000000000000000 681817732 105336396 272726254 272234068 1000000000000000000 9898928 6240609 5613469 1251140 1000000000000000000 223825643 110273610 105458288 110919578 1000000000000000000 643900471 594512812 457388005 76588879 1000000000000000000 443966804 158947592 325744498 267859688 1000000000000000000 798752206 302997067 48761614 774544636 1000000000000000000 368344022 115646104 29737209 228621977 1000000000000000000 215586857 120761365 59168288 63107117 1000000000000000000 197833488 20327205 137889707 11866989 1000000000000000000 312746272 141765820 218409890 269857707 1000000000000000000 86089789 58710293 51904110 15386107 1000000000000000000 911053583 394037678 460477248 449638714 1000000000000000000 549877534 40868527 319879174 533124009 1000000000000000000 452174017 176832984 175321443 238165207 1000000000000000000 879813658 156074703 162697921 196828029 1000000000000000000 741636240 463183849 447887869 224343852 1000000000000000000 884729088 472715062 227747849 816187909 1000000000000000000 501385386 310787995 45081837 436899747 1000000000000000000 307904672 6463335 94731258 6310364 1000000000000000000 504048936 235255050 205379106 154004892 1000000000000000000 612682118 598933805 67895060 509512246 1000000000000000000 793681697 63945451 689014097 155173552 1000000000000000000 919436146 834117056 244920800 899729802 1000000000000000000 632553193 5664961 71025716 372796872 1000000000000000000 46349981 14068376 8772724 3885031 1000000000000000000 924122999 260806664 75010676 646825030 1000000000000000000 45756091 37204830 20165218 12468484 1000000000000000000 601316684 569662995 331071579 313236041 1000000000000000000 66713187 13314988 20460313 3531024 1000000000000000000 212616093 151374170 74845265 8549819 1000000000000000000 514564892 268340912 331257563 171609899 1000000000000000000 314317752 14072292 184361366 134518831 1000000000000000000 948374836 697959564 163045521 676313522 1000000000000000000 590688087 74704546 196131328 419153031 1000000000000000000 782651231 156639310 720731777 29665661 1000000000000000000 627946998 514508890 476726506 254302014 1000000000000000000 544182063 465071780 399205600 312597065 1000000000000000000 386453628 303238977 282406249 123873976 1000000000000000000 187765231 5852170 172831623 148367165 1000000000000000000 100480247 1480457 47073036 71366691 1000000000000000000 280148137 128046002 188956614 35518813 1000000000000000000 185203980 123917840 81870761 133755979 1000000000000000000 325025866 219746993 57095577 8299452 1000000000000000000 412154165 373223814 176752911 84520002 1000000000000000000 941677466 207792465 711639275 292144082 1000000000000000000 721979356 294857642 307461188 166511780 1000000000000000000 930659550 689731034 712700187 82092902 1000000000000000000 755798210 570332918 648889306 70700190 1000000000000000000 713926895 215595826 312057159 509334986 1000000000000000000 353055127 131378047 49740270 279811128 1000000000000000000 329861234 202654565 250202534 75504095 1000000000000000000 403906613 10440972 194349801 7971521 1000000000000000000 805779825 567762909 676374173 14618548 1000000000000000000 457689913 402505083 426461109 295014906 1000000000000000000 481809271 171087052 181696537 82305291 1000000000000000000 642955330 636421787 200808767 140793329 1000000000000000000 391025736 1783321 106699195 390936401 1000000000000000000 800397452 736984904 110641146 705061421 1000000000000000000 696473533 644990983 92318977 384887145 1000000000000000000 870782277 663687773 863333288 322529510 1000000000000000000 328100495 50683172 266797464 78480597 1000000000000000000 244377154 169539005 64478086 180383937 1000000000000000000 426593799 374294867 288043195 245466070 1000000000000000000 823999610 482992139 103199773 652227089 1000000000000000000 552523098 314205579 548723331 541787366 1000000000000000000 397012894 309098751 9244497 105364729 1000000000000000000 934894084 777107979 324370083 523003462 1000000000000000000 953614534 214876949 922218218 481517105 1000000000000000000 517584997 405195559 363827107 415200863 1000000000000000000 145070764 43485996 135967793 113771758 1000000000000000000 77664859 24289452 75995386 72705764 1000000000000000000 881833156 658124724 363303975 676689408 1000000000000000000 194339773 76847422 29249658 125491329 1000000000000000000 362357995 164251763 233455362 88780165 1000000000000000000 291251379 168342585 196652716 233689964 1000000000000000000 154873858 71718572 148173208 104092676 1000000000000000000 805551963 184669504 74992751 696424702 1000000000000000000 788671381 170296925 285212327 677687171 1000000000000000000 284844516 134923297 177641892 217227455 1000000000000000000 405701230 8009657 194964821 144205383 1000000000000000000 921452926 54589532 465194190 314321632 1000000000000000000 554976028 34623097 180070141 419057216 1000000000000000000 294214090 121175152 154620697 79229052 1000000000000000000 746296427 329604210 233178748 126999597 1000000000000000000 699521250 84073619 186068144 643451103 1000000000000000000 248106731 15624105 247121313 35420744 1000000000000000000 347543388 72902464 306298475 340107358 1000000000000000000 608500338 363796769 319817069 529232403 1000000000000000000 60926029 2533495 25424787 50865360 1000000000000000000 554383225 57734004 530411322 551277243 1000000000000000000 409044983 205871104 202870982 171710018 1000000000000000000 582494953 20999959 351165792 462784587 1000000000000000000 984875860 640956266 723562165 409784970 1000000000000000000 482243667 235610953 198759511 306364665 1000000000000000000 618774959 465389053 339113656 156132394 1000000000000000000 289544804 32946198 141806688 111152023 1000000000000000000 587582351 43100848 17281099 10095654 1000000000000000000 759675957 183116806 550664750 330415549 1000000000000000000 653801394 629826865 417873528 329363527 1000000000000000000 349850566 141049220 234589855 173469714 1000000000000000000 432525423 10691487 108114959 34795675 1000000000000000000 349207542 126580634 260644132 50804658 1000000000000000000 567181125 173920410 22832092 179777504 1000000000000000000 287188760 77084326 191070700 24547474 1000000000000000000 230346513 74611186 55917033 218373166 1000000000000000000 399957490 315900600 203026017 191203046 1000000000000000000 275156283 154561834 144553497 146157595 1000000000000000000 888402018 349921358 200197798 773277311 1000000000000000000 808061157 520868961 170287987 269533191 1000000000000000000 885310158 545301539 304034403 592696174 1000000000000000000 895274269 760247450 542125742 642531460 1000000000000000000 508804831 257717769 136419710 204495199 1000000000000000000 128965196 122870361 74384493 60181632 1000000000000000000 593553904 363339231 118891445 31770938 1000000000000000000 357910332 291509572 109559166 49017205 1000000000000000000 656818026 405886779 552149856 490909521 1000000000000000000 965172259 862479739 75135501 699544615 1000000000000000000 905862727 661614854 484049311 579629316 1000000000000000000 653596151 639806795 30538703 445072952 1000000000000000000 884257133 549406918 831731413 352705733 1000000000000000000 162154492 138583495 135677336 67620967 1000000000000000000 107112175 28165317 25155127 47146053 1000000000000000000 82357210 60471977 39161205 67223137 1000000000000000000 174370934 13008530 65233716 109153547 1000000000000000000 299375502 29753696 147470072 2039483 1000000000000000000 852905948 667355228 573290702 421982407 1000000000000000000 920334729 150803859 715593056 516912801 1000000000000000000 936226560 928528766 42309261 595787424 1000000000000000000 386762172 116513277 370764548 183789412 1000000000000000000 892093602 1972683 165141457 744491334 1000000000000000000 595955757 68566832 7213533 162333834 1000000000000000000 949809810 366527651 181422023 162595686 1000000000000000000 156464045 146963368 22345635 136522303 1000000000000000000 287613231 19352645 203624572 250348967 1000000000000000000 133041498 13193620 5837508 130818358 1000000000000000000 367257006 243807728 252800526 6984611 1000000000000000000 571798746 413248242 112805769 350307172 1000000000000000000 353217629 160462013 223073630 262458293 1000000000000000000 179909636 169539658 103827512 2378895 1000000000000000000 857824019 431624605 696344474 5285423 1000000000000000000 635039702 494805404 562896214 632540985 1000000000000000000 405364239 225491925 11338060 130194699 1000000000000000000 199446186 67575409 119124342 106114690 1000000000000000000 310800856 179982540 14643273 232207333 1000000000000000000 619012595 293599010 328973081 504120164 1000000000000000000 670576831 226182697 603037228 555263205 1000000000000000000 979726913 721583886 449655191 127521575 1000000000000000000 971181330 724151795 503063664 313211461 1000000000000000000 632782336 99147160 158628982 370105550 1000000000000000000 722133062 161336057 472209910 30596071 1000000000000000000 813990992 668962292 262239329 92570121 1000000000000000000 141773032 35301324 102573073 104982671 1000000000000000000 54984426 24760379 30830874 15799561 1000000000000000000 627753470 227183833 615251120 132040521 1000000000000000000 373436057 249419409 201768689 233206334 1000000000000000000 936452487 246543100 200978275 49828273 1000000000000000000 835539701 271766401 355129876 226865493 1000000000000000000 467775288 351154230 192076601 48887048 1000000000000000000 224089986 178960078 115418952 217490352 1000000000000000000 756156340 252465479 320609222 482378988 1000000000000000000 794555689 125688988 740553139 382042082 1000000000000000000 853345621 501216462 767086322 225349450 1000000000000000000 376916346 222851560 253352633 143125794 1000000000000000000 789264206 235989105 492914736 211175729 1000000000000000000 512268157 264184081 99810434 190967605 1000000000000000000 653921713 357941044 574643291 284109815 1000000000000000000 913090116 385929276 779830427 88709986 1000000000000000000 689160573 15542863 496190083 567301356 1000000000000000000 229546013 210314027 219517578 96943985 1000000000000000000 356557433 230484483 66157820 227029914 1000000000000000000 539083714 302102591 169890040 297271813 1000000000000000000 425056710 197631429 299916869 293667893 1000000000000000000 226040331 1271908 4385638 13223016 1000000000000000000 380727171 91653779 160305505 284925246 1000000000000000000 277447027 221445685 99669788 64606862 1000000000000000000 282170763 225876946 212777563 261050471 1000000000000000000 313163419 245829474 249848213 207433308 1000000000000000000 467069578 340635292 191777880 458735593 1000000000000000000 898399169 575934815 87955088 331325581 1000000000000000000 789892895 734773799 747993296 244795480 1000000000000000000 423102126 341770357 284449940 102287812 1000000000000000000 423239372 408058872 338523939 266302707 1000000000000000000 496243634 248610896 427715489 207418485 1000000000000000000 87483200 50607963 37904437 84890367 1000000000000000000 271463583 162636077 244657741 45945959 1000000000000000000 8450101 5957899 5021030 2351165 1000000000000000000 420103252 79437510 99799946 151385154 1000000000000000000 698316520 364871562 296774483 201708707 1000000000000000000 579960288 173820055 83743816 56010660 1000000000000000000 817931920 381373335 329519049 804009437 1000000000000000000 293202177 69760382 156116896 90775253 1000000000000000000 904972482 5437912 506467649 273889880 1000000000000000000 871772278 683114536 281902351 609800610 1000000000000000000 641401894 30426635 550145869 376937395 1000000000000000000 788038355 615870158 712865512 723099049 1000000000000000000 976275379 440335980 472705259 569804951 1000000000000000000 495031098 71419639 234970568 237037849 1000000000000000000 427306017 307245080 188308102 339914863 1000000000000000000 33957983 18926632 24274272 10510193 1000000000000000000 125564797 25950867 8773409 47452553 1000000000000000000 338326320 222869841 183612842 217676058 1000000000000000000 219483754 211787287 137124343 22687822 1000000000000000000 162864988 134463443 49778700 66392195 1000000000000000000 853730991 303235966 219339836 126095786 1000000000000000000 442416316 158613346 53213198 85753693 1000000000000000000 708733690 483420877 498664994 178242237 1000000000000000000 951972268 812726037 13732805 533233593 1000000000000000000 284678076 59588781 212931171 234750090 1000000000000000000 221566361 198282299 174066932 47579722 1000000000000000000 245014949 65958408 227132870 165168155 1000000000000000000 431835480 415822364 263730110 54257163 1000000000000000000 255487095 98940869 90821056 254487272 1000000000000000000 18977245 10973908 3482851 16615736 1000000000000000000 346271612 345605316 139709886 46748927 1000000000000000000 96198589 82061468 22755289 53660865 1000000000000000000 564432002 124902775 194386454 345284692 1000000000000000000 261644480 194378769 35041379 150852597 1000000000000000000 665123541 86207453 170898639 341673484 1000000000000000000 122566958 113897879 25148490 68717284 1000000000000000000 616502485 263706888 457871445 150106987 1000000000000000000 959504749 696814470 144895769 923549487 1000000000000000000 837194112 544351636 303646812 468313278 1000000000000000000 327538429 228296378 226299995 121457987 1000000000000000000 166479966 27459670 96468430 52751029 1000000000000000000 997258910 339674644 623296738 485027158 1000000000000000000 154470127 18908227 99821878 87120829 1000000000000000000 972094839 93160783 486097287 378282503 1000000000000000000 714768129 333744619 221149051 324168350 1000000000000000000 682137644 547586300 519121308 595190312 1000000000000000000 540560774 55940384 99376062 373136317 1000000000000000000 790932151 723352420 595593030 528502363 1000000000000000000 438662897 56875994 391210191 187773707 1000000000000000000 63539526 47605154 33490900 9928589 1000000000000000000 166872208 93022926 100558348 32144543 1000000000000000000 118727991 80403272 117192740 20237254 1000000000000000000 450408752 26595893 279959174 134676169 1000000000000000000 713532441 568111440 280681435 341222389 1000000000000000000 358782420 217390447 351778614 25758586 1000000000000000000 393339474 216481582 70423243 320629306 1000000000000000000 797317218 308767838 177366112 657971556 1000000000000000000 800143560 590704834 349642147 183490480 1000000000000000000 511188876 380804294 43846962 167495616 1000000000000000000 219100216 101910626 68272397 32778906 1000000000000000000 419803900 7612498 413862116 204741682 1000000000000000000 895675818 475963495 748875360 882131821 1000000000000000000 456712171 43730521 210290567 234597171 1000000000000000000 341340508 193099136 233031917 176982618 1000000000000000000 474125148 378623423 23486416 224583145 1000000000000000000 417157884 292636364 1575198 78381094 1000000000000000000 949241163 583282834 7918303 731790961 1000000000000000000 332420361 327202507 135803964 92300537 1000000000000000000 308936619 139252437 70122427 251285774 1000000000000000000 528724816 459016479 137132606 214058311 1000000000000000000 8721534 1782808 7114974 3569831 1000000000000000000 590556388 521158487 140189266 552127766 1000000000000000000 722454210 283758725 647187236 200945997 1000000000000000000 881276908 676968006 102093082 611429228 1000000000000000000 257468972 15898585 53383421 150775008 1000000000000000000 814015982 720867920 767259456 600518953 1000000000000000000 497776389 34341174 431177272 400843818 1000000000000000000 643329411 139280513 225387931 475168949 1000000000000000000 18773812 17599758 2046133 10194455 1000000000000000000 919349547 778385297 369493505 93737203 1000000000000000000 123880269 120314460 17225930 5705453 1000000000000000000 260835060 230528911 258608139 99331368 1000000000000000000 33915138 32685283 31096651 15290825 1000000000000000000 381893660 45458712 263544755 365125232 1000000000000000000 230119979 218985994 214846120 200518875 1000000000000000000 878767280 327863145 363607512 857304456 1000000000000000000 497630714 382390452 385785145 88777175 1000000000000000000 551425165 207135740 361715487 124865272 1000000000000000000 473545233 75851666 230750856 18923539 1000000000000000000 220282400 78552152 47868837 87304468 1000000000000000000 583521524 182489536 272324606 224871286 1000000000000000000 533005154 72812812 343017276 476866834 1000000000000000000 400284590 32121325 343147161 398706409 1000000000000000000 412413087 242326506 257894766 56285398 1000000000000000000 155189918 117287461 118665325 26218007 1000000000000000000 453039275 412042126 200073300 171230511 1000000000000000000 149644845 8712906 109070812 118886481 1000000000000000000 102213685 47251066 96491061 20497207 1000000000000000000 915918029 231142394 742391498 173886620 1000000000000000000 561921736 13241454 547860589 449325870 1000000000000000000 913753659 231153757 818401160 611678988 1000000000000000000 360595732 339687305 273305075 200275031 1000000000000000000 203837528 49135931 30466448 99667733 1000000000000000000 155534537 100583338 42744258 114406527 1000000000000000000 33295615 14455957 24864386 22012733 1000000000000000000 985764080 904077811 476782213 219197554 1000000000000000000 6274848 2281228 3609980 4371768 1000000000000000000 255182527 81119309 32547067 170566445 1000000000000000000 775525673 536289516 181747155 242108953 1000000000000000000 788656509 57869458 675522631 238811674 1000000000000000000 407015666 327174135 249792538 239120641 1000000000000000000 69433459 24737870 28987100 28229144 1000000000000000000 216628528 20641052 41357524 215643862 1000000000000000000 673605244 409988301 310753095 484176959 1000000000000000000 233418738 220683570 161085480 190082174 1000000000000000000 733607988 375167981 630655573 454407118 1000000000000000000 144856935 79564318 114437699 26106820 1000000000000000000 464856383 292868501 105760980 304334165 1000000000000000000 971658533 571040294 810166264 654953612 1000000000000000000 138040714 67307179 35269917 74499869 1000000000000000000 35313071 11714351 29655706 18422454 1000000000000000000 292389666 163526220 235671148 269164194 1000000000000000000 282753243 232682262 277393328 28252826 1000000000000000000 912943701 579309334 495812267 268379573 1000000000000000000 711889300 528146496 180392755 631080784 1000000000000000000 33418219 19754607 3474845 12255781 1000000000000000000 785019586 442736363 576801378 92556575 1000000000000000000 62452766 35939228 37087760 21181500 1000000000000000000 627043605 499957959 169288526 7132512 1000000000000000000 544452174 301378023 291788297 477688962 1000000000000000000 200324062 109683948 177102193 52642586 1000000000000000000 942796836 662514141 797441321 339183307 1000000000000000000 776705433 37555917 523376256 542537129 1000000000000000000 927170792 230344150 300599083 476713658 1000000000000000000 470091685 128939968 255650209 40104500 1000000000000000000 671128622 491552848 489367355 315937501 1000000000000000000 892603916 710325422 239586598 840433526 1000000000000000000 477187738 65540957 368818981 350089852 1000000000000000000 26786466 13697596 26390090 15591843 1000000000000000000 219525285 186424047 199349962 176806709 1000000000000000000 15956824 3759372 8114771 574639 1000000000000000000 32312636 5045152 27308294 26512809 1000000000000000000 342650072 77366419 103500994 340606455 1000000000000000000 958341886 768010912 208315248 492389376 1000000000000000000 112436311 100163033 100270815 96984379 1000000000000000000 800263080 783121334 17959156 150190526 1000000000000000000 359114404 217780176 341843897 32106348 1000000000000000000 56109324 49036281 6388658 43782248 1000000000000000000 232442500 134241369 185226215 157203088 1000000000000000000 390924970 112757085 389205717 179422143 1000000000000000000 668308860 117598881 378685523 308354252 1000000000000000000 368915283 161679899 270020595 158090520 1000000000000000000 747902091 735761846 581487387 61507005 1000000000000000000 270943578 238951030 57035626 256714216 1000000000000000000 125680518 41397232 125424544 26804399 1000000000000000000 569006916 137668739 467577397 104191172 1000000000000000000 267097016 258999545 19368412 189659328 1000000000000000000 794276080 359336745 604287266 17886721 1000000000000000000 497777543 14362548 338211405 396537681 1000000000000000000 782837340 706377120 508683017 441857331 1000000000000000000 410900686 149258666 359003848 184051901 1000000000000000000 594551102 211773614 161816951 184100459 1000000000000000000 943783550 828605384 814939096 223226138 1000000000000000000 917894841 737416652 119906379 660975647 1000000000000000000 746128158 427108151 436230074 220730156 1000000000000000000 676139189 52242581 527911597 485808675 1000000000000000000 965854083 557537223 68838050 169480012 1000000000000000000 181502465 131508103 14293519 138959855 1000000000000000000 888637942 849346537 263535097 258563064 1000000000000000000 623233345 329706344 383111183 467006628 1000000000000000000 651894416 634994304 354273748 583440739 1000000000000000000 193262997 99744938 133395624 150584794 1000000000000000000 54267662 15856943 20693354 30427298 1000000000000000000 948930777 893703151 218713925 390512542 1000000000000000000 199842918 8775867 171810717 196092057 1000000000000000000 983675637 828444891 562780115 972470714 1000000000000000000 608146883 539514159 269168557 298505366 1000000000000000000 731997158 611328555 652087030 208232575 1000000000000000000 849493820 17209185 814344740 195053441 1000000000000000000 820841626 103058624 708289346 737118672 1000000000000000000 823152868 328316297 218499391 490156348 1000000000000000000 944914446 232648541 3593600 237824115 1000000000000000000 883253478 461664280 292146296 275346963 1000000000000000000 124238897 3150353 121019851 64612361 1000000000000000000 894760566 483605957 421586109 342384892 1000000000000000000 951967773 9524883 375587927 252147522 1000000000000000000 578925658 54378158 319527018 59418610 1000000000000000000 134163193 30912029 28034897 3128097 1000000000000000000 850742080 271624283 394830509 284787081 1000000000000000000 28831419 24814768 2239117 10716633 1000000000000000000 73432589 26133761 17393311 20393271 1000000000000000000 70876245 39182692 41101617 46391574 1000000000000000000 654191288 46505965 101032032 220848550 1000000000000000000 532979727 22892234 469251016 207317368 1000000000000000000 245038168 179448213 212155165 107637603 1000000000000000000 977221924 541824014 490800897 442273239 1000000000000000000 444336244 10475079 441336549 42042198 1000000000000000000 725661974 73943688 315962277 16044821 1000000000000000000 934196444 44788003 920982375 293999836 1000000000000000000 581838321 73332948 77110729 280268618 1000000000000000000 823510395 572230901 285954697 657201241 1000000000000000000 46574205 13878833 20056268 2580760 1000000000000000000 116429132 75600420 80175370 10492511 1000000000000000000 603966862 279794476 64279479 521657380 1000000000000000000 665223482 329911297 663624729 555711419 1000000000000000000 68550520 35997550 642682 44432562 1000000000000000000 366905434 157745810 25523854 25664537 1000000000000000000 959511887 799792636 734796287 491304250 1000000000000000000 589326724 311113589 229795021 268973462 1000000000000000000 20049445 18153649 9260578 15524038 1000000000000000000 564366815 386382307 32962710 471066987 1000000000000000000 213749304 154112966 171871274 32972725 1000000000000000000 346471604 177532342 53913575 317870652 1000000000000000000 475238346 346270206 2947371 83130978 1000000000000000000 417866952 296432176 265416446 103123070 1000000000000000000 493152074 441122878 229631198 352580598 1000000000000000000 394191783 21851735 183828579 43823368 1000000000000000000 161244566 21132827 83471893 147385960 1000000000000000000 883314966 655019614 703728624 63161254 1000000000000000000 875128335 795542325 308498674 561276841 1000000000000000000 760275786 600913300 403257143 698986246 1000000000000000000 978449588 214596670 666897206 348774530 1000000000000000000 529606687 161765387 221798583 271248579 1000000000000000000 111581517 108216523 25244859 28332536 1000000000000000000 429680365 21453863 276933321 159488905 1000000000000000000 751458020 621248677 684988054 166443099 1000000000000000000 589638492 551988408 240278683 130853745 1000000000000000000 470644677 52283956 149456607 314929405 1000000000000000000 406293892 42985185 55925939 193497043 1000000000000000000 952716651 320045844 280400243 369348 1000000000000000000 918009564 209344697 807785222 632924937 1000000000000000000 379645966 247050189 266004912 131557439 1000000000000000000 348567429 279294124 70725682 218785512 1000000000000000000 586199868 334231932 328855635 10558089 1000000000000000000 242867454 153787856 77315210 201549756 1000000000000000000 760036805 149089433 122573433 179264679 1000000000000000000 225290124 146083518 206879917 125415868 1000000000000000000 52239877 50503757 15501347 44354379 1000000000000000000 908427269 195682023 375446820 777750906 1000000000000000000 933354976 329333816 907843041 664720335 1000000000000000000 241135595 220958384 44589916 159117410 1000000000000000000 808437500 332282934 446976969 464222123 1000000000000000000 737714370 701532585 377796585 355293324 1000000000000000000 908261026 629432969 16886258 635514225 1000000000000000000 704204786 581404992 54285376 230859110 1000000000000000000 800847730 424983268 230565004 512174346 1000000000000000000 505326138 335289727 481801985 645043 1000000000000000000 916664777 536429190 415441802 169878137 1000000000000000000 26370232 12051476 22493695 18678866 1000000000000000000 934184137 341597527 413045745 864377615 1000000000000000000 626189219 116510696 393654476 90172205 1000000000000000000 362150020 155829931 103132113 268219682 1000000000000000000 731865892 583963573 393746856 470130423 1000000000000000000 575197109 475023756 255536008 138317273 1000000000000000000 614035582 380645097 469819038 219938798 1000000000000000000 753522882 237173938 493789716 583043371 1000000000000000000 434955321 202235411 301749254 346041845 1000000000000000000 329514519 100446971 138561820 280115709 1000000000000000000 613798435 507514281 196673454 338868704 1000000000000000000 855710422 849149989 234253794 138434125 1000000000000000000 83862452 19288591 23009297 4788349 1000000000000000000 965276320 723162646 92037375 410749712 1000000000000000000 254165950 143080364 133964732 3029844 1000000000000000000 146025697 109570067 142861246 105756367 1000000000000000000 20665018 11701521 12835114 6393283 1000000000000000000 399137487 381180873 140984777 104991438 1000000000000000000 814447794 499611084 495770246 570595890 1000000000000000000 477586315 264540476 152742984 358420559 1000000000000000000 382418439 367038064 134707950 23213127 1000000000000000000 852638366 611378331 392766294 287624137 1000000000000000000 41815006 12389125 16038791 30959511 1000000000000000000 683479042 570935866 210931675 412664077 1000000000000000000 661834632 380008532 81354065 652256196 1000000000000000000 562560668 25115783 163375545 281749138 1000000000000000000 549999104 213522484 512454922 388104359 1000000000000000000 153634323 9478159 83363197 120705164 1000000000000000000 782267761 532444475 310530351 242795855 1000000000000000000 465000881 185270676 361747369 281439870 1000000000000000000 529019638 171312014 230007295 521567392 1000000000000000000 25411336 9057986 7106351 15934607 1000000000000000000 169375171 78407196 132169232 156405864 1000000000000000000 474626936 149991034 30753986 281526368 1000000000000000000 694256678 667602999 12373107 251455863 1000000000000000000 172338484 12763977 26721004 144814261 1000000000000000000 37870599 2038507 35783661 28746690 1000000000000000000 791383320 478488964 415739842 123936187 1000000000000000000 407880154 254042341 254667647 2820868 1000000000000000000 85385601 85100436 76077697 80991797 1000000000000000000 504212759 396906126 87429810 16523722 1000000000000000000 477254600 260711971 186404191 270673189 1000000000000000000 86771122 5469544 80405519 76258113 1000000000000000000 586796481 176568744 263112133 341965154 1000000000000000000 993601408 513952181 535317680 779013315 1000000000000000000 696491642 185951861 175989958 321165109 1000000000000000000 911274725 330973269 283254047 455399719 1000000000000000000 773685386 84910405 259466636 86399487 1000000000000000000 204694980 24757277 15635358 146958307 1000000000000000000 858730458 181139668 686724042 839722469 1000000000000000000 811315706 774043790 625521308 33356493 1000000000000000000 375409749 39908012 9739298 111483021 1000000000000000000 999767923 91227845 719357406 788044387 1000000000000000000 590364183 462277738 505175181 394585209 1000000000000000000 287638491 27386108 283105743 240480137 1000000000000000000 727422755 18802133 558492697 152137669 1000000000000000000 153506286 124588874 74730389 22683616 1000000000000000000 834756512 699738952 462465606 517059173 1000000000000000000 91215032 45009573 73228125 26992371 1000000000000000000 668986867 950351 361346944 88192855 1000000000000000000 952275149 177304659 833547144 85106509 1000000000000000000 420969871 402305162 345465492 243122723 1000000000000000000 581481529 320305809 279812195 221792446 1000000000000000000 387582757 233814460 46852513 102009122 1000000000000000000 178255164 98969409 26375540 13961451 1000000000000000000 172467792 117700044 54012447 123164512 1000000000000000000 477035791 181920164 275643866 297728004 1000000000000000000 420779401 13542119 310958029 266200637 1000000000000000000 582610525 351655122 64589181 254770408 1000000000000000000 276641976 170114973 115021426 95848177 1000000000000000000 898036897 82504373 443332476 92468569 1000000000000000000 781264768 96368349 666771339 326359004 1000000000000000000 746930073 249968573 227461952 353453227 1000000000000000000 405183620 25605518 43358738 332984378 1000000000000000000 832701041 269236087 195208409 122932905 1000000000000000000 757073781 247362129 194175196 464327962 1000000000000000000 117704388 96211492 81226018 115720837 1000000000000000000 146673780 134152077 12160373 16796719 1000000000000000000 831795925 741050292 26453115 104745757 1000000000000000000 297071289 154443846 47173114 150692925 1000000000000000000 700469819 165667198 205452871 454974945 1000000000000000000 103375421 49981169 11372535 7401085 1000000000000000000 879411010 124788850 376535806 351357811 1000000000000000000 580015032 449434284 173994766 442351699 1000000000000000000 266557445 151965201 223939068 54690190 1000000000000000000 382639725 11337947 298654142 316816083 1000000000000000000 926843220 238332237 485559870 848731992 1000000000000000000 530314034 7965302 432207023 67736696 1000000000000000000 792662788 777647475 584533809 754032931 1000000000000000000 4581755 380066 4142345 478490 1000000000000000000 825527321 631903146 401717075 332774502 1000000000000000000 495495501 313344848 346078955 408119719 1000000000000000000 220409172 164546182 215492481 21535967 1000000000000000000 309383745 135707305 12883775 86662765 1000000000000000000 688638189 188550265 311150382 347390919 1000000000000000000 272781162 270573876 11172717 238570308 1000000000000000000 517750290 237846626 243211147 433780937 1000000000000000000 844048851 142120248 654601525 87411381 1000000000000000000 571887886 438606831 84486203 522562160 1000000000000000000 621862290 333647594 366863847 160387747 1000000000000000000 240235626 138437718 147130338 74031901 1000000000000000000 306536889 117052431 60844014 122781930 1000000000000000000 916614188 249940180 81378740 245020752 1000000000000000000 694847276 595912385 260571388 523876086 1000000000000000000 975554960 108838096 330418223 900593327 1000000000000000000 827498935 330945591 635625783 779499689 1000000000000000000 199511171 101050002 48548608 174240985 1000000000000000000 354821900 108905866 232224743 266540696 1000000000000000000 880425668 844740822 351703305 197780343 1000000000000000000 600113850 382568701 545940974 110455146 1000000000000000000 663826695 449383573 179644163 493000519 1000000000000000000 519252877 88458651 510167469 295792591 1000000000000000000 857820825 781532706 584592832 109045356 1000000000000000000 589506611 540589502 312628517 30803927 1000000000000000000 390991529 343388884 319869317 156346998 1000000000000000000 960067219 357611167 556489589 47143638 1000000000000000000 546016905 232106423 143261438 476464551 1000000000000000000 182748518 160474059 36234734 20782898 1000000000000000000 74650831 51459328 59679026 51059077 1000000000000000000 435216916 30027412 59683798 6300742 1000000000000000000 642818239 35156312 278826811 102857504 1000000000000000000 165416181 89265940 129832169 128381313 1000000000000000000 892188974 719128893 398016563 618052001 1000000000000000000 517312366 124514395 233209335 47939560 1000000000000000000 787831388 702520718 75036405 18202203 1000000000000000000 790146070 112395231 270855128 362082271 1000000000000000000 525037732 41337220 78220514 242815513 1000000000000000000 868839225 118868580 201368095 848480433 1000000000000000000 490898339 452336494 205678737 351332807 1000000000000000000 745536334 290017096 697818628 260700802 1000000000000000000 424278773 388980440 171494639 323744621 1000000000000000000 85969162 14520169 4730540 68870138 1000000000000000000 516858274 490425365 331723229 5286682 1000000000000000000 261645799 61408959 237373566 45703902 1000000000000000000 730866883 697064619 464432500 155083605 1000000000000000000 325753591 89604716 242340782 187084627 1000000000000000000 60996465 7094608 35255318 57102006 1000000000000000000 671369961 226475923 512386589 189051308 1000000000000000000 138752837 56428087 117527731 20030993 1000000000000000000 614672741 486537515 562218270 46354006 1000000000000000000 167406307 27578268 93326980 82913111 1000000000000000000 468787213 263153998 265578 351405993 1000000000000000000 226808405 158163358 46181157 21698265 1000000000000000000 486759352 265583130 55878093 368995201 1000000000000000000 369975368 133320059 320855885 252000792 1000000000000000000 814252676 393063597 4384336 128923143 1000000000000000000 895896100 315971160 700317763 779340192 1000000000000000000 874320817 371928672 456622042 267626060 1000000000000000000 924124225 667372950 750360066 792118859 1000000000000000000 567463139 274641046 294584847 332737579 1000000000000000000 780578431 155153308 62869927 650648610 1000000000000000000 184047699 38291958 43397708 31719581 1000000000000000000 758735967 661950269 727705452 285140324 1000000000000000000 695071116 611587376 315677203 127819566 1000000000000000000 255887152 198255600 66327790 141606497 1000000000000000000 502762514 188197893 225335994 454899418 1000000000000000000 720467158 279339592 375301498 598348165 1000000000000000000 855026350 101502013 171408043 153757907 1000000000000000000 939013509 597906474 641674279 171458237 1000000000000000000 162474712 146005782 97264543 51835746 1000000000000000000 160886956 108092313 22203185 78859238 1000000000000000000 854511078 478351359 501069024 250644840 1000000000000000000 728714749 452942412 700794614 493191384 1000000000000000000 752982068 52253795 245680591 690848490 1000000000000000000 767372702 595929585 584368847 90825079 1000000000000000000 803182209 229241496 594677596 495137565 1000000000000000000 628883554 521304401 584416961 199937966 1000000000000000000 726311127 444031884 713725561 50360874 1000000000000000000 577133934 487930365 311347079 325249040 1000000000000000000 256807375 162125140 244399519 232510963 1000000000000000000 47608002 1681756 6067299 45842193 1000000000000000000 750464087 30291331 446431751 731112972 1000000000000000000 306348009 108447603 110374952 273626797 1000000000000000000 351175196 222187970 53782748 68965677 1000000000000000000 286212478 247358011 65351706 56481697 1000000000000000000 92890988 76279427 14523047 18943948 1000000000000000000 612901817 435886337 117791766 187643212 1000000000000000000 510384642 379198059 221169450 331987679 1000000000000000000 785379667 131228356 507585693 233136756 1000000000000000000 386737217 127136268 104792639 221487352 1000000000000000000 227229470 87452459 23942225 148029483 1000000000000000000 322732451 206708525 284648618 197456665 1000000000000000000 693975709 221745741 628414615 447900664 1000000000000000000 23543644 728816 151621 1763558 1000000000000000000 555296322 336422008 323916112 292908179 1000000000000000000 52346735 48874027 50900216 45198625 1000000000000000000 810166540 397844689 67950445 683050410 1000000000000000000 49769546 38262638 11834078 31102460 1000000000000000000 44777618 5845769 15762596 44586269 1000000000000000000 888183762 86462293 326876228 618479150 1000000000000000000 772814909 454461721 306797016 127900122 1000000000000000000 58635944 23637237 47599060 53761163 1000000000000000000 737545547 399562481 712458357 628321644 1000000000000000000 666525850 661101677 19368013 485396068 1000000000000000000 756412788 166485825 653240983 337582907 1000000000000000000 105005864 13494652 70002526 52823857 1000000000000000000 726567880 13674628 442911792 400757760 1000000000000000000 61993974 60649668 25025682 55628403 1000000000000000000 117079811 57058652 104660621 113524071 1000000000000000000 161141983 84087840 88476481 108446616 1000000000000000000 373127508 196799614 10206395 90115753 1000000000000000000 268842262 157325180 248912622 165906408 1000000000000000000 378149990 115423204 139862768 184159957 1000000000000000000 493779853 446646988 218701551 474246413 1000000000000000000 205684727 144798824 33565482 147150335 1000000000000000000 871722022 262217618 397822849 596776783 1000000000000000000 534214257 293451593 15845813 167431096 1000000000000000000 474407785 329481650 73422358 233647686 1000000000000000000 698405907 567969696 526687525 176032806 1000000000000000000 179974138 54976224 124057843 56310663 1000000000000000000 665228427 143597166 567582150 145974609 1000000000000000000 437859167 322438003 155277519 321338896 1000000000000000000 787611274 515682232 113822344 559681390 1000000000000000000 779846509 279471005 261675273 739757279 1000000000000000000 537159420 82923695 77029552 64343056 1000000000000000000 87507526 43208410 65393054 6826667 1000000000000000000 614250720 456570770 189445392 232105528 1000000000000000000 704833574 68520009 502894074 418162314 1000000000000000000 647121144 571746037 1941152 617438094 1000000000000000000 308512426 120238939 205652360 166043702 1000000000000000000 103250710 58099367 73139896 26165517 1000000000000000000 154380412 138126583 40348059 44668494 1000000000000000000 185395513 138728836 1990140 88169479 1000000000000000000 966189031 435791247 545091280 475198764 1000000000000000000 683313994 450546636 70488679 24682315 1000000000000000000 181728587 64704618 177385933 11348491 1000000000000000000 64580600 64383431 37127427 51876697 1000000000000000000 650334091 228062728 303829599 52229720 1000000000000000000 351129797 166888272 163832159 36226262 1000000000000000000 826927229 54781091 744101203 563087550 1000000000000000000 468935285 432481252 49323703 351147988 1000000000000000000 840016490 533294513 749075731 260228601 1000000000000000000 102828978 52848764 49385307 36666630 1000000000000000000 195412367 31192100 162162317 34222194 1000000000000000000 281852447 85844158 130510481 268499291 1000000000000000000 453688487 300881797 37409220 376113417 1000000000000000000 276434797 147078798 239081553 42958118 1000000000000000000 450638615 250260856 85060010 32693706 1000000000000000000 125053248 101247588 115199907 86881090 1000000000000000000 163577814 112062793 50132952 93365021 1000000000000000000 462231982 233070081 225205676 125490021 1000000000000000000 951474444 889073890 715909907 253049849 1000000000000000000 342383087 251721329 29250595 246376748 1000000000000000000 950779485 414297763 89467483 311696510 1000000000000000000 328378757 195763695 265416836 198056104 1000000000000000000 672517609 624589551 563292177 334453725 1000000000000000000 728050864 73055657 133242173 165416222 1000000000000000000 743169276 168748088 13516375 315822033 1000000000000000000 190059015 24054290 8982129 65556575 1000000000000000000 519651812 431699876 217214337 413878631 1000000000000000000 317113350 264191168 115100830 192701729 1000000000000000000 862080021 697523803 321300465 362347541 1000000000000000000 456927210 41957231 397335715 353685342 1000000000000000000 840178941 618450444 24805011 766367328 1000000000000000000 112805490 81865838 1768022 58051718 1000000000000000000 175280400 142594863 46211608 31312440 1000000000000000000 511501969 483384891 39997450 483062949 1000000000000000000 273730189 203610571 147208102 71846544 1000000000000000000 611514725 340917181 307298145 371335949 1000000000000000000 808350885 340811965 683493791 775919139 1000000000000000000 405328690 286203808 169705117 134157524 1000000000000000000 807725474 92422423 220937804 204041056 1000000000000000000 236780383 145370250 115652511 104107784 1000000000000000000 677460277 342852817 53800680 82143500 1000000000000000000 275108785 168350458 97922017 161436474 1000000000000000000 249214242 2317586 201612395 1865872 1000000000000000000 867606399 835368315 610503309 273935125 1000000000000000000 997397508 505054247 645806314 617660077 1000000000000000000 818692854 228022282 306886756 510315494 1000000000000000000 104707261 82881061 78916263 18063692 1000000000000000000 61525023 25881605 47803839 33488783 1000000000000000000 953752980 165410014 527213922 390471880 1000000000000000000 964175002 568711942 646256923 930916484 1000000000000000000 488195883 254491562 389000635 13602867 1000000000000000000 658446410 510033529 488540603 187291196 1000000000000000000 295780820 160919690 129812350 33599410 1000000000000000000 939898016 635841266 543858947 130332777 1000000000000000000 381520588 354310409 318491090 22104726 1000000000000000000 34881594 27468622 15973768 34834150 1000000000000000000 28004894 8898166 18432947 7950539 1000000000000000000 215838873 127781144 147702950 157122989 1000000000000000000 34845074 11568699 8027311 4649340 1000000000000000000 22019886 8664433 10876705 13472867 1000000000000000000 472701409 257124435 181715890 211378056 1000000000000000000 803005501 433642130 664326046 741287009 1000000000000000000 995120803 44066344 736267303 867234692 1000000000000000000 139716752 34132573 48508522 12203545 1000000000000000000 751368067 94159169 360281053 422118178 1000000000000000000 693062317 561233658 169585208 191546846 1000000000000000000 513982687 210483673 223918639 34096961 1000000000000000000 461633245 159335256 25725151 123978027 1000000000000000000 512842324 296926189 314515334 10241034 1000000000000000000 742609602 244143173 17555568 228729816 1000000000000000000 994767969 538092818 149125201 978084594 1000000000000000000 523190089 13694618 391458833 465870674 1000000000000000000 786916901 567049694 389744011 495990601 1000000000000000000 365774109 69733611 76968066 251563172 1000000000000000000 869293255 73478515 248673410 863774512 1000000000000000000 474816073 131053530 297308341 19206846 1000000000000000000 387223087 94607986 217147258 89526619 1000000000000000000 815007120 564014807 591694147 355233186 1000000000000000000 822098784 805842061 816694280 129752467 1000000000000000000 550472261 535321113 61668016 33271183 1000000000000000000 172464857 101481182 100679631 22210044 1000000000000000000 675377123 8211268 180699070 595076724 1000000000000000000 784863122 57392958 296396144 573079967 1000000000000000000 554454317 434585861 317260972 207820871 1000000000000000000 333235269 58080864 258880058 105893021 1000000000000000000 140315875 16104586 53231998 85806957 1000000000000000000 611904664 323012612 329522600 561372623 1000000000000000000 782816115 290857531 67541766 734809988 1000000000000000000 779278643 456068085 131898695 642439826 1000000000000000000 357940136 124139535 279580602 72737220 1000000000000000000 387181950 114229893 263237498 20581971 1000000000000000000 517757835 445771720 40222018 432757947 1000000000000000000 220417467 213018744 131077296 203623412 1000000000000000000 232858632 187407135 205258203 7222286 1000000000000000000 78761244 597270 73687632 28795558 1000000000000000000 61536690 22059617 39261190 49584510 1000000000000000000 545418396 172746873 433049793 359980809 1000000000000000000 472474492 341210354 383493475 348052226 1000000000000000000 876811935 256279600 266725262 338019074 1000000000000000000 537655460 135962116 16070484 335333009 1000000000000000000 22997840 10753106 4225777 20503582 1000000000000000000 180297534 36064670 109668228 90588025 1000000000000000000 32184894 30191703 25605304 17535921 1000000000000000000 59131822 41553451 56358554 10450543 1000000000000000000 101683313 48249367 58033014 15384857 1000000000000000000 119963543 76713176 39140443 102728984 1000000000000000000 832961674 440240665 16815588 282091752 1000000000000000000 44812035 10895958 38174452 4286847 1000000000000000000 192357454 44936880 168203729 30156206 1000000000000000000 21904016 2733029 1602345 9312296 1000000000000000000 187555378 87571119 146449879 24214882 1000000000000000000 315376164 25632160 104601290 109774969 1000000000000000000 547000442 500639020 388065654 395058255 1000000000000000000 681770386 505922495 259336848 573935872 1000000000000000000 310534139 23880216 112230836 242125962 1000000000000000000 149023744 121530815 41953167 60194570 1000000000000000000 527000469 178278331 21620482 427995410 1000000000000000000 778085895 264562653 134162802 572706519 1000000000000000000 180421362 21407779 82609894 80591969 1000000000000000000 762427285 106516340 169154354 336109463 1000000000000000000 233107045 132463588 105663816 193458236 1000000000000000000 347862366 116258732 330611450 69140878 1000000000000000000 679321778 109617562 28518876 218288980 1000000000000000000 289906472 20086697 61173133 201638921 1000000000000000000 798048178 713662581 206216381 537431911 1000000000000000000 605149472 375767727 87586636 207521926 1000000000000000000 648077880 409023398 498436519 615578704 1000000000000000000 888655541 350794850 687506444 485730959 1000000000000000000 303054810 213903788 196837089 159865028 1000000000000000000 227482957 196513433 113260710 66986230 1000000000000000000 901662699 882104035 223955924 329653203 1000000000000000000 628029264 74515006 206601380 609277279 1000000000000000000 389751992 366979292 243908315 308229769 1000000000000000000 366875234 289152951 140692459 143939752 1000000000000000000 406855933 86449541 44510196 333246867 1000000000000000000 619980211 454386358 458114683 227581883 1000000000000000000 306958748 111542173 149283334 14332795 1000000000000000000 263129169 32961463 141184328 107338130 1000000000000000000 5208987 1671581 1378282 2544121 1000000000000000000 868783510 154028629 374558860 187904960 1000000000000000000 720805782 697969366 218397951 351585430 1000000000000000000 735444590 589485271 257477549 545384159 1000000000000000000 401716729 293835070 25737869 112230379 1000000000000000000 578732341 94529994 307321929 399057399 1000000000000000000 790089409 683670900 660103194 476260821 1000000000000000000 836125065 753681735 251431681 638204409 1000000000000000000 949778485 204021801 716060503 53440892 1000000000000000000 619007175 477391486 283839339 534587921 1000000000000000000 125990808 109275380 105285760 93245266 1000000000000000000 539507760 238471603 160986469 415540258 1000000000000000000 136571982 65033584 24506886 20716958 1000000000000000000 266646557 67197771 124314255 104507843 1000000000000000000 757312434 286140748 338226834 578434174 1000000000000000000 654584664 614818110 523776001 278936083 1000000000000000000 77288628 39296985 41646907 64355983 1000000000000000000 143641866 140590292 9893504 77373325 1000000000000000000 722062696 592590253 544397057 423166953 1000000000000000000 287813654 171584279 248193030 239128226 1000000000000000000 693635615 414311848 195964931 163662342 1000000000000000000 215314182 32064460 127117521 85629316 1000000000000000000 941900975 845767366 668775585 352142800 1000000000000000000 59031786 7704326 6969183 46113350 1000000000000000000 622378180 76806122 572148270 247254515 1000000000000000000 457651629 222021042 78800160 56883203 1000000000000000000 809573493 189096561 41788168 772754680 1000000000000000000 582787864 380224359 429444740 109678505 1000000000000000000 161937706 63115274 34997118 137138296 1000000000000000000 982617473 666724625 103536389 792291814 1000000000000000000 378384973 136408707 318359213 3045063 1000000000000000000 362364968 303063060 58336042 159932625 1000000000000000000 331274529 114120945 103573262 219132864 1000000000000000000 564204899 21410594 358954489 140357018 1000000000000000000 273155879 253216954 10374098 168080221 1000000000000000000 656800304 259243853 246344498 300410079 1000000000000000000 834104378 175021127 549173545 658176787 1000000000000000000 411592468 71159683 330612593 229462287 1000000000000000000 912495512 287329890 211514031 743122039 1000000000000000000 209312675 68581189 179675652 180514047 1000000000000000000 526138780 380864675 154482184 489547779 1000000000000000000 728903510 6576067 661712127 510672237 1000000000000000000 494392959 426429602 313875744 238155227 1000000000000000000 169794087 16781489 12194165 98779869 1000000000000000000 641560127 522656023 486759734 145773951 1000000000000000000 993289991 444899596 187521810 259001472 1000000000000000000 864799709 524169870 580959813 379853733 1000000000000000000 204677133 142168976 135974354 52386168 1000000000000000000 248357550 69271476 54647645 122160656 1000000000000000000 986917432 99109967 657242735 669649350 1000000000000000000 219183260 166310030 21548186 81144188 1000000000000000000 494224486 410176780 222909236 398295898 1000000000000000000 672289516 68218573 268756149 606548255 1000000000000000000 477621176 61694947 134133832 260584261 1000000000000000000 219663265 155901363 86509110 81600187 1000000000000000000 407952768 379982050 156258788 46998653 1000000000000000000 522822388 400897929 328960132 118284059 1000000000000000000 525623515 506800232 241918491 296888792 1000000000000000000 71480857 27113961 38590284 16314703 1000000000000000000 566523181 56247323 219915406 255206036 1000000000000000000 13663880 7625445 10298066 6003960 1000000000000000000 985957151 71920218 463731619 456828534 1000000000000000000 881260954 776920271 753139325 50276671 1000000000000000000 494489273 452567926 456698995 481954290 1000000000000000000 908845958 216214224 313930055 691717271 1000000000000000000 176557116 152496349 8819522 79865122 1000000000000000000 793036521 343205024 116122783 105553636 1000000000000000000 243496694 167363213 178784362 78048559 1000000000000000000 704580926 606949761 405603786 10012029 1000000000000000000 130252936 101332440 51703469 74663380 1000000000000000000 344064070 150362345 147401331 343810619 1000000000000000000 998781362 869355143 652719763 602918343 1000000000000000000 536686278 350346219 340112910 267800257 1000000000000000000 969529649 654069573 643220186 338136204 1000000000000000000 974696299 835049041 89470480 578819585 1000000000000000000 896512572 789166070 308413500 635605320 1000000000000000000 475831087 358343127 428575407 387003751 1000000000000000000 630745500 591368948 367607025 315004078 1000000000000000000 827064430 797721018 344625567 91764021 1000000000000000000 404172360 345914077 88077513 114897250 1000000000000000000 706348879 130940373 27492889 2838878 1000000000000000000 752316082 321927252 144475112 11148236 1000000000000000000 146535327 77991752 45525726 76669327 1000000000000000000 126897240 20682704 16160469 59363021 1000000000000000000 335810339 299178357 94528717 127659131 1000000000000000000 92224377 10910338 60038614 31184040 1000000000000000000 987900437 165724419 925272615 395448823 1000000000000000000 166883497 108243972 40762367 585576 1000000000000000000 899798559 578962672 642627457 404741928 1000000000000000000 612789256 223540380 515036088 58472304 1000000000000000000 821008821 432357876 133684770 600672956 1000000000000000000 163367856 153522157 60362995 47472279 1000000000000000000 206724199 117803188 132892640 45516860 1000000000000000000 646042213 546823004 609527320 144415782 1000000000000000000 68016840 17144701 46805194 39072305 1000000000000000000 909879860 279024552 561210894 819527132 1000000000000000000 146056977 86221389 98192117 74912875 1000000000000000000 196951705 91582110 193784445 127953451 1000000000000000000 488052928 229329298 393304856 192072394 1000000000000000000 588365899 258331355 527771392 553738186 1000000000000000000 438841067 293491343 234328130 87157001 1000000000000000000 116385650 3381440 79500756 91403173 1000000000000000000 107641786 101478052 51812567 22433188 1000000000000000000 399013707 89737137 93215853 101420544 1000000000000000000 888054434 37676234 312818119 23125433 1000000000000000000 558020501 113480736 452141568 238815937 1000000000000000000 946514636 69723767 113812462 195444314 1000000000000000000 398585134 263254659 254278895 259130172 1000000000000000000 887023487 684439898 321834234 67133799 1000000000000000000 627776643 588500960 575514207 333275074 1000000000000000000 470750118 407483922 156838662 437044325 1000000000000000000 687302408 268326047 320414911 32006987 1000000000000000000 171366639 112521775 50775112 62986608 1000000000000000000 475198069 448030537 445994445 48497797 1000000000000000000 347138612 74133303 116988206 207234196 1000000000000000000 261455045 169596380 143022071 218380824 1000000000000000000 340145263 274541187 302391752 300389913 1000000000000000000 252868223 193417009 186561325 154884021 1000000000000000000 877730220 700487564 568096298 135686849 1000000000000000000 236431735 28090428 187816358 177848022 1000000000000000000 669803206 164432445 186152085 343831763 1000000000000000000 864131773 583023064 130047844 296311201 1000000000000000000 825652788 199081606 339928910 593561442 1000000000000000000 63143057 41552855 55469268 14043336 1000000000000000000 290017664 140541435 155964230 178188025 1000000000000000000 257766398 95995163 75899989 69762761 1000000000000000000 919411562 464323429 815296855 451894978 1000000000000000000 663606159 467410341 175674690 596862533 1000000000000000000 603489611 177031036 237083141 433046405 1000000000000000000 388211022 22371004 362873806 199292013 1000000000000000000 503818589 228752891 477132023 134138708 1000000000000000000 347348190 76982719 136914289 322938231 1000000000000000000 336494050 7930536 16564540 127704556 1000000000000000000 148955574 2129239 100825498 83004980 1000000000000000000 801452630 240070061 463411251 697587361 1000000000000000000 555447083 195928215 206688612 472734011 1000000000000000000 509947000 210755944 376175907 399645361 1000000000000000000 160485794 17072450 69653226 103517555 1000000000000000000 62731783 24908380 54893031 4707960 1000000000000000000 34782085 19602837 7814053 21228056 1000000000000000000 921886843 821604230 253148721 135859895 1000000000000000000 91801283 50574863 19962377 18564591 1000000000000000000 49173410 5263924 47877659 16849495 1000000000000000000 28285562 17486821 13394997 20948750 1000000000000000000 583175285 530907437 86027652 418448236 1000000000000000000 588668297 359002261 278451962 464714793 1000000000000000000 506988131 66958225 263222487 321669463 1000000000000000000 450090911 127032002 203609249 386543891 1000000000000000000 198270902 117476862 9311774 148810181 1000000000000000000 548149202 89342503 477992715 162338586 1000000000000000000 830942174 475372729 43290106 133368318 1000000000000000000 300928594 1401726 187065417 136677352 1000000000000000000 152206664 140763104 55938920 68267379 1000000000000000000 927444173 271993781 144678474 54010509 1000000000000000000 119489788 26323043 9546757 24033869 1000000000000000000 828025310 520793751 725301968 331343256 1000000000000000000 635866653 165806091 94370887 112266119 1000000000000000000 39383182 39293507 5360744 14621375 1000000000000000000 1613895 690789 639698 1015026 1000000000000000000 357412196 38435923 206993265 101622602 1000000000000000000 123587 71542 41621 84029 1000000000000000000 995738300 776573485 40539598 975056701 1000000000000000000 328071288 81965419 230430412 300434063 1000000000000000000 659642091 624259249 75609368 285955621 1000000000000000000 35703436 11886366 4643795 35533551 1000000000000000000 842106990 575311264 22327602 333788209 1000000000000000000 948639509 254277002 896942768 225899530 1000000000000000000 122340043 79455692 111328894 120056832 1000000000000000000 433285879 171377337 132334025 276174897 1000000000000000000 229876996 42140930 149599728 196661091 1000000000000000000 464618989 429398147 419346785 456170513 1000000000000000000 140391456 64244315 11002446 7971376 1000000000000000000 522053525 110077692 424957841 255619279 1000000000000000000 277104840 75684651 5586351 258929369 1000000000000000000 665766207 214028220 45284366 412370764 1000000000000000000 93374670 77017536 83570463 14992386 1000000000000000000 534838606 195522109 199248449 444890383 1000000000000000000 882378709 693450084 768936367 589429579 1000000000000000000 708038556 418857912 372326525 221431044 1000000000000000000 892942208 861979556 513149938 715129513 1000000000000000000 917274890 221496594 724429607 174408954 1000000000000000000 597530083 348676821 416794552 281765408 1000000000000000000 683982925 479399254 249223039 242115305 1000000000000000000 130823210 77433159 24300673 108867872 1000000000000000000 641563578 258125178 550440824 555610677 1000000000000000000 671739197 607602238 498236252 23677085 1000000000000000000 817359900 39722313 622454688 142389792 1000000000000000000 790825147 232601031 695645040 284094339 1000000000000000000 662785747 164489029 529981776 24453228 1000000000000000000 193029510 48618344 43609914 143521115 1000000000000000000 982236547 76817022 478330754 217372893 1000000000000000000 434683895 115686481 125849132 352507581 1000000000000000000 281287441 1984917 56710874 50019744 1000000000000000000 103008687 71002613 60655720 60176307 1000000000000000000 898343829 869569110 627413124 565636562 1000000000000000000 729144264 333314904 389740846 306505184 1000000000000000000 404038375 213653232 322234524 359228291 1000000000000000000 146753501 24779450 129044913 80818652 1000000000000000000 159509341 52574618 151778589 108510975 1000000000000000000 741856179 523149015 555632134 268949269 1000000000000000000 80931059 70541814 29868395 59673101 1000000000000000000 884939845 363969794 60106514 242795264 1000000000000000000 742339349 300235227 478592708 65259193 1000000000000000000 970942614 258936586 184815107 885611893 1000000000000000000 488790526 215371902 415548886 44786387 1000000000000000000 415167829 59468274 89592408 395414422 1000000000000000000 26255361 24390743 7513023 21578301 1000000000000000000 991334820 372562932 809808073 945917119 1000000000000000000 120671374 16350415 98394226 61610176 1000000000000000000 133660494 99408885 86519343 24209635 1000000000000000000 506352070 338734894 308528661 200448675 1000000000000000000 160747476 62631068 107036030 20376085 1000000000000000000 168028346 92959472 150541448 152260946 1000000000000000000 475849419 77262358 469062311 351806827 1000000000000000000 685692284 672935005 342014003 217915283 1000000000000000000 63468621 13020480 29234348 63225266 1000000000000000000 540335125 128435686 151461064 334180268 1000000000000000000 427642156 61903180 263100377 32545122 1000000000000000000 793145454 489584802 64080679 573404881 1000000000000000000 308756801 283975263 254831096 32011722 1000000000000000000 714434248 288807409 117515794 611269112 1000000000000000000 392939054 196521078 246771243 27795001 1000000000000000000 704236671 451901025 417080450 501074880 1000000000000000000 987203125 666700416 888649664 794543982 1000000000000000000 591905024 103312375 50118130 323746089 1000000000000000000 967734154 168593867 216922680 642783146 1000000000000000000 416145456 386234948 285247 141399491 1000000000000000000 737172256 689711174 53143628 408066822 1000000000000000000 20737487 16598904 6682564 14834530 1000000000000000000 729642559 526954624 246777126 388873081 1000000000000000000 969287975 811844391 764610777 841414693 1000000000000000000 528030018 303242658 130354219 142857545 1000000000000000000 133256385 22213083 8351678 108160905 1000000000000000000 458951339 43248933 171690413 374073918 1000000000000000000 720673704 589093965 587338441 416168958 1000000000000000000 758482646 328765622 8210159 489389348 1000000000000000000 850165241 289957612 572368491 419443950 1000000000000000000 23009914 4162894 15206314 7878713 1000000000000000000 215893851 87184615 104184963 214552575 1000000000000000000 956604560 362170126 360505407 434194192 1000000000000000000 142862054 88915218 86751960 122274145 1000000000000000000 788983295 767511626 759844943 223639971 1000000000000000000 365737258 21832963 139174639 32067267 1000000000000000000 25173968 15556288 7832815 12317749 1000000000000000000 13792060 12998684 11122223 4625311 1000000000000000000 408157510 225236177 8028200 194500467 1000000000000000000 606451967 449649805 274580452 339358382 1000000000000000000 684580975 387597473 50064924 90450241 1000000000000000000 26971458 2790134 13530905 9994199 1000000000000000000 69786156 25256441 37441157 1669500 1000000000000000000 573802313 432892951 106319534 554348145 1000000000000000000 177750963 7525801 37001514 116574072 1000000000000000000 530205324 461968430 455982550 126852383 1000000000000000000 236705220 143680414 113409338 58334621 1000000000000000000 582604493 338210778 387966962 170022038 1000000000000000000 297935316 110161554 63340393 258542160 1000000000000000000 441920589 296610495 196276597 13234884 1000000000000000000 607550739 32763086 361430895 7572405 1000000000000000000 214239636 168591143 131218527 31270395 1000000000000000000 500350222 441916130 104774856 232761044 1000000000000000000 887690929 488909534 798819322 288954140 1000000000000000000 184225543 24400535 22310121 6893165 1000000000000000000 193611235 8389864 153234388 52448274 1000000000000000000 402931926 65538487 80305736 181216779 1000000000000000000 842442993 26858354 122638210 9097332 1000000000000000000 560243466 70609090 144900336 52992646 1000000000000000000 456475291 336131941 239407280 331123391 1000000000000000000 709874334 63024881 579202606 495603779 1000000000000000000 945142699 206708074 308042869 345006321 1000000000000000000 842666167 420592472 488721866 488583487 1000000000000000000 783558013 48513573 80598557 315314082 1000000000000000000 896330872 116747115 842634880 113435878 1000000000000000000 490537331 449586463 399101931 337975339 1000000000000000000 674937291 605652699 603387768 158621513 1000000000000000000 671125860 46882373 470745630 582377851 1000000000000000000 923457408 837851837 245719603 719309992 1000000000000000000 656446804 35678832 519378874 388194277 1000000000000000000 244552899 152770465 26342241 69036097 1000000000000000000 213022103 48503040 148655004 140228236 1000000000000000000 394600636 231880513 11946476 205112469 1000000000000000000 370205139 203836443 8825865 28841331 1000000000000000000 399056636 217584655 394074697 247158709 1000000000000000000 163738039 114726809 132856149 152748013 1000000000000000000 886224482 190787212 288548075 410183698 1000000000000000000 581390913 68695728 195537290 3500220 1000000000000000000 854541875 473834624 191831836 733417147 1000000000000000000 225298794 180985769 182705957 193327199 1000000000000000000 436913431 1809306 323934371 51161121 1000000000000000000 415578857 275430671 373190696 295839917 1000000000000000000 305855908 298975925 85784886 32580668 1000000000000000000 129759217 98872294 110956054 78529600 1000000000000000000 296689092 130629630 17994973 99900222 1000000000000000000 663883971 37629351 163168367 318147633 1000000000000000000 782837434 585236326 36076750 386762604 1000000000000000000 909198776 366689690 702125305 706505284 1000000000000000000 862224545 529163177 330482920 64265518 1000000000000000000 833283975 337580417 403721939 225553097 1000000000000000000 94074696 75930642 60626680 32636353 1000000000000000000 928623677 544940417 167852957 363405951 1000000000000000000 815252222 59525952 800551609 329844853 1000000000000000000 146242374 134609442 58373252 77214810 1000000000000000000 888334059 735201090 728373587 269958463 1000000000000000000 110615337 15148234 70987707 49044147 1000000000000000000 691285853 617659059 644449699 440969971 1000000000000000000 493551138 10801966 385137665 478506703 1000000000000000000 504070556 475162346 137975108 2261778 1000000000000000000 281557128 249073822 280613172 142281937 1000000000000000000 903827634 680008081 181350691 642419296 1000000000000000000 920459227 197222405 570539766 473328993 1000000000000000000 442558259 8514123 182991649 287962587 1000000000000000000 426538946 139689144 41259999 306407807 1000000000000000000 22200279 1640379 13374837 3553839 1000000000000000000 343363909 233635686 325295997 325864508 1000000000000000000 756099461 398792637 569145300 35652669 1000000000000000000 261631338 28776861 130580345 105355915 1000000000000000000 85669497 74522058 65753714 34957933 1000000000000000000 283753808 27825179 265789474 282524092 1000000000000000000 774859127 722478529 411310241 641716755 1000000000000000000 29130882 12244807 2899664 7262814 1000000000000000000 214090988 100295877 24493645 137968679 1000000000000000000 767308999 17243371 597263890 361585321 1000000000000000000 170742289 10889439 73869305 98589586 1000000000000000000 636928641 250965755 404364296 558794821 1000000000000000000 321096952 315825960 220673943 291445064 1000000000000000000 702347229 65132635 634331032 307337888 1000000000000000000 327828495 213934574 138646365 13749174 1000000000000000000 275686915 48252377 222646434 124384097 1000000000000000000 619671762 397951760 127103114 169558630 1000000000000000000 224231855 172710374 8929921 75621659 1000000000000000000 687774136 222739278 62412446 87085817 1000000000000000000 365694944 327153603 266021972 6698730 1000000000000000000 293336250 110968139 14153551 135377980 1000000000000000000 445225425 228581360 284693462 63839413 1000000000000000000 947963463 832153298 561234791 939164626 1000000000000000000 690812989 331644510 241569706 68323155 1000000000000000000 660506474 290778874 486589338 497139964 1000000000000000000 877039684 22028878 193917872 106084716 1000000000000000000 169856369 138720618 156949458 108690667 1000000000000000000 668849414 509748538 382210412 140455269 1000000000000000000 53198112 21998001 36215288 14325772 1000000000000000000 653817860 109509783 325539528 399057280 1000000000000000000 338514201 57693775 106176911 24345591 1000000000000000000 435910971 333327794 65515687 203121217 1000000000000000000 644415687 455369460 431639437 130193571 1000000000000000000 942780129 513537879 658386600 451694046 1000000000000000000 689403381 200383865 94552561 147797940 1000000000000000000 694070954 488989839 62280155 616954564 1000000000000000000 805770870 279090630 711708908 124045455 1000000000000000000 761382080 462583564 355030098 161247114 1000000000000000000 601475157 317313576 26953652 119169334 1000000000000000000 54469750 47699217 29886192 46786506 1000000000000000000 207162908 188438949 44398977 163460890 1000000000000000000 761069551 505738752 490750997 139293175 1000000000000000000 83603327 51565070 12648431 47396476 1000000000000000000 581619516 433072386 404267002 240075036 1000000000000000000 718081917 470884023 671262423 341882389 1000000000000000000 91354281 48511465 45434219 13949073 1000000000000000000 144136882 72189877 100234099 33846020 1000000000000000000 303730401 223653397 26062384 46987722 1000000000000000000 787007902 134303301 478701191 653045862 1000000000000000000 879466270 72552780 754568965 570105350 1000000000000000000 519367065 10930510 223927543 407357804 1000000000000000000 56963094 18689797 48887240 17244875 1000000000000000000 970496275 83746436 292842886 336040231 1000000000000000000 342243963 321777231 171767220 252433552 1000000000000000000 58093154 57516165 87290 19364407 1000000000000000000 80585490 6260646 3108544 77508243 1000000000000000000 934409735 6330591 547197645 900182748 1000000000000000000 572422862 285370171 122714856 236893677 1000000000000000000 139134492 29153604 29835938 51335320 1000000000000000000 188993983 62650230 171056554 57063659 1000000000000000000 618213405 66321198 266558441 574558626 1000000000000000000 622064406 184668907 583480689 610149741 1000000000000000000 483744180 65537965 39578513 151338652 1000000000000000000 486948799 114617026 144782902 176525439 1000000000000000000 291678455 262663903 147400452 34715179 1000000000000000000 337463791 134879482 116244629 8681429 1000000000000000000 111595735 58718924 74565830 22755987 1000000000000000000 843245184 665533286 819200708 20985111 1000000000000000000 239288757 41838212 156978560 129627106 1000000000000000000 774490601 181478999 147058727 331897504 1000000000000000000 885141374 511800170 759761878 185406024 1000000000000000000 679947785 559705562 367365785 433550069 1000000000000000000 716120550 48003810 323082744 323521352 1000000000000000000 758693010 699577331 639162648 234465736 1000000000000000000 219414755 125932070 149940004 47182115 1000000000000000000 73679889 27588894 12333855 3564182 1000000000000000000 779245457 462469537 329696018 153402841 1000000000000000000 419978100 184853298 353740034 42734807 1000000000000000000 73339276 55312458 67259437 67838803 1000000000000000000 850755066 366752481 591363909 246073002 1000000000000000000 279755769 130442707 249466473 91284446 1000000000000000000 234974146 117641894 57057289 147633278 1000000000000000000 276377315 238735961 98542038 241771790 1000000000000000000 914513796 230541050 627876229 182592856 1000000000000000000 667243992 3407785 213477093 40643500 1000000000000000000 288609327 225845990 109898263 182883544 1000000000000000000 618948907 404372528 71902417 153182783 1000000000000000000 521057525 332395186 211624311 306651294 1000000000000000000 105251005 9850118 14537052 51255108 1000000000000000000 808928854 445968682 648537365 340840010 1000000000000000000 944571790 240310331 390549213 517667440 1000000000000000000 810761198 794272387 377470753 767762560 1000000000000000000 769103612 693282517 603075088 716141504 1000000000000000000 729360552 43675655 358802542 611474227 1000000000000000000 796602845 469049882 26880577 173433842 1000000000000000000 407528694 86837283 220384388 3599135 1000000000000000000 205833039 140516061 190559172 86338484 1000000000000000000 823657541 294809500 54298587 473739517 1000000000000000000 922079933 371753721 445843755 566965818 1000000000000000000 2432916 1585024 1961339 1747639 1000000000000000000 644584617 359999640 627533694 289835415 1000000000000000000 906717622 508857664 677433182 780075755 1000000000000000000 119295052 108289104 89020515 12039158 1000000000000000000 25902914 9283265 24108080 17778730 1000000000000000000 743925579 452538014 386251548 611008235 1000000000000000000 690474976 422324198 524599780 83943931 1000000000000000000 550026610 537573961 294078342 244228406 1000000000000000000 137392585 58685036 84571415 44741028 1000000000000000000 183675328 83366207 28448086 10391917 1000000000000000000 832665421 104040853 665102745 757816800 1000000000000000000 510601125 501754566 202217691 418188512 1000000000000000000 603333700 2075986 483493690 535784315 1000000000000000000 513129953 21698104 381378767 76203737 1000000000000000000 454845400 8724574 158370782 438630098 1000000000000000000 216351018 140004311 201487349 147784578 1000000000000000000 538015491 236383933 105667564 532579115 1000000000000000000 456249974 39423780 412241911 189275829 1000000000000000000 460843252 250174926 114094862 204985698 1000000000000000000 7951598 7922188 7085101 7823743 1000000000000000000 923599843 844770436 907800439 182224604 1000000000000000000 281698378 185539429 80097822 219052290 1000000000000000000 59019778 31384058 2523683 24202957 1000000000000000000 848497320 168535617 791919692 172293205 1000000000000000000 13979185 8157376 9313388 11536617 1000000000000000000 517289136 438479813 367004725 301483864 1000000000000000000 272257661 268527914 261907927 176643969 1000000000000000000 175984127 60655671 119363701 162645118 1000000000000000000 377396371 209522979 245844661 208836443 1000000000000000000 503971851 390762155 378167539 99649478 1000000000000000000 846708161 719103875 527209001 68223761 1000000000000000000 384397977 41994057 367246407 223339499 1000000000000000000 901167123 399480256 259754013 513962369 1000000000000000000 345621224 3752353 136785354 143456968 1000000000000000000 239156604 220633786 3284434 50656158 1000000000000000000 545111357 236679735 19110090 376012173 1000000000000000000 591460191 332984800 159865041 320033073 1000000000000000000 236902904 178646308 38928944 152932460 1000000000000000000 86175014 58450560 32950253 25251322 1000000000000000000 770262749 587217519 297157304 573458962 1000000000000000000 379557664 73389510 52617506 357324321 1000000000000000000 343239871 278603217 164229413 234885773 1000000000000000000 113333966 45360840 100040994 77790772 1000000000000000000 940036884 356138465 297830652 444177017 1000000000000000000 725942380 519959139 288272052 558661446 1000000000000000000 645609785 179722778 306253159 261367013 1000000000000000000 329551604 174937955 112715782 210314096 1000000000000000000 45809127 34617109 44543361 11949186 1000000000000000000 11276690 8259353 3828733 3882705 1000000000000000000 759817667 110331178 698577462 397386541 1000000000000000000 516037567 26067267 326749629 173352141 1000000000000000000 454422353 190310697 275255220 81712483 1000000000000000000 981747348 930864920 220314362 598564432 1000000000000000000 817438872 558323913 272575328 465241570 1000000000000000000 411506830 226176767 29847506 47857116 1000000000000000000 216017487 133899666 194066432 62569680 1000000000000000000 162648972 6813648 146442837 37972576 1000000000000000000 14595358 7894977 11780505 8756401 1000000000000000000 759827564 418172998 318884992 196486782 1000000000000000000 694567192 606852947 5224625 286771133 1000000000000000000 802872148 236862433 433607308 190045473 1000000000000000000 375928576 134460533 236765565 144071323 1000000000000000000 393507850 358870452 354305691 112458779 1000000000000000000 596819595 131690622 96776995 336642341 1000000000000000000 143121133 122237025 28310217 76849968 1000000000000000000 690765044 439884803 610877287 492733541 1000000000000000000 621750022 515038185 18454242 237859756 1000000000000000000 858238071 57944960 180354989 847411836 1000000000000000000 732548315 313797229 53535259 541192127 1000000000000000000 627528292 415115827 13652428 524158020 1000000000000000000 7065542 1430391 5876911 668325 1000000000000000000 430643061 4302258 362676575 291871816 1000000000000000000 128164012 6423168 68530497 57391177 1000000000000000000 881671884 830697831 528844123 101719729 1000000000000000000 15587979 15171548 2564345 12033356 1000000000000000000 399349779 286734860 101715246 96973621 1000000000000000000 856713107 46679513 220718919 147204122 1000000000000000000 77349329 72862900 15520099 16645910 1000000000000000000 828930329 599854544 172481082 713869494 1000000000000000000 492557896 313351501 267212841 348302251 1000000000000000000 88064560 11900425 76858959 80395624 1000000000000000000 35589954 9763741 27287026 19876676 1000000000000000000 832247129 132781946 665033359 494392482 1000000000000000000 436271208 173752247 292124545 242648753 1000000000000000000 371872420 42883926 248058109 327908095 1000000000000000000 233030573 182695544 190485569 159048713 1000000000000000000 96713793 71536501 92638616 38296173 1000000000000000000 925081441 590378580 494473533 273410072 1000000000000000000 491567749 409923732 79843994 123295668 1000000000000000000 318809066 275133980 285395196 105358307 1000000000000000000 212877236 98750174 133771843 64924371 1000000000000000000 755112155 59683226 325587208 593538420 1000000000000000000 32080397 5684479 25821722 18199271 1000000000000000000 435521844 297535287 96769288 192410437 1000000000000000000 287461528 174393921 221372092 138675891 1000000000000000000 509966362 23722545 298062784 118463128 1000000000000000000 104387264 91168404 49748151 40545996 1000000000000000000 93983858 46500544 20985271 10098219 1000000000000000000 5206917 4729142 3572184 2713148 1000000000000000000 382715406 314987614 252582475 121392924 1000000000000000000 8261272 1303221 3887630 4784127 1000000000000000000 762229895 313021623 491941566 428929466 1000000000000000000 625669696 325729468 1101068 153042466 1000000000000000000 804661247 9841950 564108740 41400219 1000000000000000000 680209653 654831560 170224572 183911079 1000000000000000000 270582848 192663529 37371737 249717919 1000000000000000000 457666193 173201960 142890585 426427699 1000000000000000000 388307192 295369960 165027843 39929703 1000000000000000000 504122449 86783759 458484378 90824570 1000000000000000000 233357934 221011600 10215785 195228604 1000000000000000000 6413183 3680879 1878064 2937987 1000000000000000000 342639134 243625449 92462661 299629174 1000000000000000000 613845057 157048137 421579957 101111944 1000000000000000000 735351548 414343790 518085387 635808703 1000000000000000000 567311556 495409490 436421835 442735883 1000000000000000000 306881943 277280172 194148472 230648861 1000000000000000000 64298340 52268633 58141624 33880163 1000000000000000000 426772700 315397408 96633239 425595312 1000000000000000000 588198380 480395469 246565591 309721270 1000000000000000000 901841319 264391795 859376251 678208074 1000000000000000000 705392852 66880797 212831852 473767933 1000000000000000000 190235772 46925510 88598074 26367151 1000000000000000000 532816575 323957698 182609026 500506276 1000000000000000000 150983812 144549506 3671753 71614955 1000000000000000000 188457081 100141784 110716774 112284902 1000000000000000000 627328613 521271897 297722872 114231311 1000000000000000000 243061193 167976616 172353251 175210127 1000000000000000000 199907513 145189445 140938124 163272356 1000000000000000000 325918120 149727258 277715438 266710419 1000000000000000000 739879447 297104418 87013670 252643140 1000000000000000000 150282953 128053684 149967142 80092007 1000000000000000000 877730053 732197656 360433806 126582082 1000000000000000000 973168282 61540179 752627031 572464708 1000000000000000000 973586723 614022349 566588516 7745191 1000000000000000000 249334818 207178324 99132254 53054457 1000000000000000000 824013728 122250808 591529139 656058500 1000000000000000000 938783340 444460017 485158117 227393577 1000000000000000000 742185688 437014351 681825112 471190989 1000000000000000000 466165456 6952047 10700419 159013001 1000000000000000000 370330675 137581192 135756002 17338082 1000000000000000000 64615663 63748499 30244785 58950807 1000000000000000000 498729136 241894739 45254706 263215896 1000000000000000000 403141829 299794493 205462998 245735750 1000000000000000000 421004069 172530246 8442497 401436260 1000000000000000000 25894938 19823284 22894713 14259250 1000000000000000000 430323834 427712609 136510668 95501990 1000000000000000000 853803186 792768067 535519819 482280158 1000000000000000000 373259942 272007102 16829516 4779866 1000000000000000000 109659849 34252324 77267125 109220688 1000000000000000000 602507134 203510292 247558761 54242974 1000000000000000000 505278251 336419771 174320938 418678338 1000000000000000000 897883421 214054215 45218591 688014329 1000000000000000000 61036982 25539082 935740 6814643 1000000000000000000 746405403 13287231 126919499 385922322 1000000000000000000 230264603 5751466 48717411 108421984 1000000000000000000 5627906 4860889 3200976 3520488 1000000000000000000 415390071 123701855 332625996 38116163 1000000000000000000 140041587 44459121 118986049 3382076 1000000000000000000 655015853 123071792 27126631 52299633 1000000000000000000 521163639 121109341 388656548 480134168 1000000000000000000 765594265 144218300 21753428 613643195 1000000000000000000 644211346 121249022 578195451 11610865 1000000000000000000 57171948 51708326 29201766 29022703 1000000000000000000 791384878 521975702 188903586 521029984 1000000000000000000 421954103 201236992 320456693 251016996 1000000000000000000 869458577 240666297 650473069 676409894 1000000000000000000 832019200 356893647 561680053 363461760 1000000000000000000 672781602 583068597 599740422 452528675 1000000000000000000 168424249 41091504 110439366 81144916 1000000000000000000 109425572 100623517 1140426 87278358 1000000000000000000 527284403 193123806 491501205 478178474 1000000000000000000 192758087 68381992 1152135 181917768 1000000000000000000 251998216 85519855 147218213 187213249 1000000000000000000 385133105 127564654 81252597 308617035 1000000000000000000 800147673 128882665 528988232 525958942 1000000000000000000 44478370 5604971 36347873 4689176 1000000000000000000 517024838 415237909 504244610 207014046 1000000000000000000 408526839 241996022 284133038 244126628 1000000000000000000 935996661 502512249 132541367 426972992 1000000000000000000 227949738 24215584 29775797 38148424 1000000000000000000 321429714 37643423 295709553 163515850 1000000000000000000 521686093 205979979 308613726 452921804 1000000000000000000 79372785 54195696 4355700 7165533 1000000000000000000 376832125 31812118 23410305 242768050 1000000000000000000 211372494 96683226 112729874 203914635 1000000000000000000 282203108 42722018 216211303 85229043 1000000000000000000 889689221 42396034 633709563 788771979 1000000000000000000 344881608 327713409 15304936 72127049 1000000000000000000 848398282 108625791 614775727 131573630 1000000000000000000 631783387 521972434 349933916 423183800 1000000000000000000 988990801 258377960 341532454 246827529 1000000000000000000 375555143 345832330 68333971 201875204 1000000000000000000 569730039 523143325 240251112 155984887 1000000000000000000 376553645 117921653 35417047 19125871 1000000000000000000 278097292 212886022 154197198 271923230 1000000000000000000 43879470 35899423 30309494 18680358 1000000000000000000 969156887 633346757 341517182 258501727 1000000000000000000 838823417 398250517 2791076 167424169 1000000000000000000 812047009 657281034 231629068 289349572 1000000000000000000 806756776 497724138 437675105 511946765 1000000000000000000 552353695 427177507 487492383 59839096 1000000000000000000 918028254 905169108 357933452 803913456 1000000000000000000 981810093 266884686 208795888 964907069 1000000000000000000 592680962 566144428 396988138 372209796 1000000000000000000 396650459 106872637 357139007 356352025 1000000000000000000 110554504 91782240 27543864 5429405 1000000000000000000 706565116 687671064 77525151 680921686 1000000000000000000 195681974 2330017 833643 104782767 1000000000000000000 913053803 563955133 521735779 886871640 1000000000000000000 741252355 457215333 222932276 613057912 1000000000000000000 152244810 114698826 128705673 82071663 1000000000000000000 633936911 146554847 517219062 397160802 1000000000000000000 321998358 163318967 294290086 24769388 1000000000000000000 149583107 124146631 70906461 42268733 1000000000000000000 19578856 9277805 1617000 4621951 1000000000000000000 651319460 419760511 15830375 535518952 1000000000000000000 422050848 262377063 307675842 82894155 1000000000000000000 445491092 311470662 228826195 179705023 1000000000000000000 40932361 36163290 8073024 37889023 1000000000000000000 49826535 30979042 21234789 34579483 1000000000000000000 53017929 23519132 27775164 30312180 1000000000000000000 907318399 320777394 586796682 70901011 1000000000000000000 879081591 81423168 9716889 610626327 1000000000000000000 161763229 8745437 142343245 117460926 1000000000000000000 301567741 69550638 34122987 44921287 1000000000000000000 493933892 34471520 456041266 135448557 1000000000000000000 724065992 554590983 229350878 590945024 1000000000000000000 695592599 351232611 328749194 268962543 1000000000000000000 686249769 383929714 393101408 279073012 1000000000000000000 172824840 17353350 25041187 15412436 1000000000000000000 172632014 52761035 122193126 40443054 1000000000000000000 947492586 496705171 822332816 137581586 1000000000000000000 598293178 307518529 176808558 383106548 1000000000000000000 962534186 163309506 634960367 229340082 1000000000000000000 962048917 117467206 792932767 635964146 1000000000000000000 36401444 20772333 27321298 35418195 1000000000000000000 302608661 71165971 200889971 172399560 1000000000000000000 466570274 15322803 26516342 226584083 1000000000000000000 414205918 310522328 386168015 267086730 1000000000000000000 71766078 60433725 52618344 12756851 1000000000000000000 758384515 100625458 121626138 178653645 1000000000000000000 535131610 455729934 375278816 34194197 1000000000000000000 616437849 611300623 463663729 433525016 1000000000000000000 132206812 113558175 80151100 117304584 1000000000000000000 82281460 76182241 42867761 57773162 1000000000000000000 479671181 143618775 23204094 458562380 1000000000000000000 946309720 90797418 900190121 808084170 1000000000000000000 173705053 50476369 112213399 126516371 1000000000000000000 469781259 454690368 375720069 144455063 1000000000000000000 24536533 8702122 283353 18335212 1000000000000000000 504504280 327943533 495833990 329190278 1000000000000000000 691363649 461029317 236077244 453686725 1000000000000000000 706261735 498605697 561347589 107753004 1000000000000000000 416462765 75221076 198135555 49988547 1000000000000000000 735372757 658989949 370275550 210866643 1000000000000000000 353589771 114242441 193120639 268097484 1000000000000000000 790931299 719163465 92438938 315850820 1000000000000000000 872750631 296665677 146127696 252470181 1000000000000000000 328703764 167527060 60380502 240175423 1000000000000000000 790786508 593965724 264679996 597216170 1000000000000000000 562033263 23475748 343508512 104637369 1000000000000000000 672330793 561859345 558162136 223170576 1000000000000000000 723468137 489105001 609186327 77374113 1000000000000000000 129450789 43788327 127020801 46091586 1000000000000000000 318333573 145964589 259078554 237835238 1000000000000000000 774511772 136060940 476723081 42192540 1000000000000000000 491845936 463151998 299291407 471457630 1000000000000000000 747253132 289419367 400641613 410950285 1000000000000000000 661877779 187599042 68860684 431272831 1000000000000000000 306562890 216326869 118486601 141602792 1000000000000000000 515295316 244117313 364104666 81972510 1000000000000000000 596199879 289957309 464885705 422302254 1000000000000000000 894263153 759215834 662329497 353389779 1000000000000000000 342200673 2761723 797118 244522806 1000000000000000000 48330934 20239576 35157163 30467117 1000000000000000000 429938471 57010689 210672323 134074911 1000000000000000000 206490521 163518977 136930001 128843396 1000000000000000000 201705249 25175026 70290844 87586845 1000000000000000000 875260910 485814176 355939541 129898739 1000000000000000000 89060476 43824889 58262009 79532721 1000000000000000000 388561006 123998716 116184021 202481706 1000000000000000000 63109684 32977526 32517216 41615394 1000000000000000000 276485467 121615384 133682286 253035478 1000000000000000000 714964487 676051143 301795814 503790333 1000000000000000000 795814262 406760082 26319596 601313418 1000000000000000000 382559233 200514385 320150291 61079406 1000000000000000000 763263946 275087644 589673283 29200215 1000000000000000000 724204131 72213106 132436507 154389253 1000000000000000000 616490149 124879899 442161526 445858988 1000000000000000000 316332127 297183991 99109613 201483801 1000000000000000000 130650248 23602357 107922402 40109097 1000000000000000000 923968018 145351112 415869296 163103347 1000000000000000000 727949437 536304626 15283361 501117682 1000000000000000000 546212232 356140017 540627399 408391399 1000000000000000000 205630820 96769884 14282167 64259392 1000000000000000000 750328553 313862332 163517829 378255718 1000000000000000000 344033234 319642858 226358673 191217720 1000000000000000000 305718584 151798130 27947995 36679990 1000000000000000000 722730452 96968896 95373360 127960882 1000000000000000000 285338952 48325340 284630077 2312930 1000000000000000000 212429179 27918632 128770285 169676394 1000000000000000000 38180975 35032615 24298221 35170876 1000000000000000000 541031613 493760257 272547271 226450356 1000000000000000000 165000893 33670218 138299219 141428094 1000000000000000000 19191127 703783 2795823 6526529 1000000000000000000 792734670 13643487 411521803 588482232 1000000000000000000 652496672 551303222 65184263 23350154 1000000000000000000 445949580 170476948 391313333 377120448 1000000000000000000 352394998 308903125 39983393 30307831 1000000000000000000 70589966 67402664 66891502 67969384 1000000000000000000 774641953 148004941 223466878 750208851 1000000000000000000 78873539 30586723 27492407 905097 1000000000000000000 373903462 340449871 345877113 356500938 1000000000000000000 879809997 560674533 637164856 825891182 1000000000000000000 630247983 386968752 506762468 393410632 1000000000000000000 39100489 54060 12434944 31960064 1000000000000000000 715803882 642288793 247534126 60013242 1000000000000000000 281561026 139160718 210270786 139422614 1000000000000000000 907193538 327827108 394410063 377174692 1000000000000000000 959651254 34885084 21871144 274414089 1000000000000000000 406675908 403259963 49390174 173558011 1000000000000000000 675983831 487357425 477220227 69872901 1000000000000000000 601229193 108697500 29551559 271577162 1000000000000000000 124790432 38345780 30650573 32307115 1000000000000000000 859652581 465316940 456912043 408957104 1000000000000000000 573588201 37050967 117736214 303332994 1000000000000000000 342971361 67845661 303755104 321923394 1000000000000000000 755175027 507058277 736226753 14662289 1000000000000000000 889467749 253801830 130230124 823437620 1000000000000000000 659252907 540658104 298715517 521721365 1000000000000000000 541474729 321172395 297825517 301114270 1000000000000000000 299710833 129400442 281243504 135052057 1000000000000000000 248285362 96488922 66993178 65438102 1000000000000000000 679615675 97141053 50898027 564287652 1000000000000000000 28059295 6999167 15661569 8513054 1000000000000000000 859307027 837640484 290445909 308397655 1000000000000000000 634350711 62398032 493195495 529695281 1000000000000000000 40561426 34173712 28766440 1658665 1000000000000000000 801486350 202559343 400490323 69428516 1000000000000000000 167777532 152238722 62607542 152341374 1000000000000000000 244699063 167635116 150654610 15522565 1000000000000000000 598035654 274087244 594010570 467726062 1000000000000000000 242388211 86068586 114010265 141741861 1000000000000000000 903835908 344256122 196581672 613457767 1000000000000000000 468544665 288820770 251498550 344837403 1000000000000000000 794970312 420389987 81612388 730386658 1000000000000000000 696193326 321838288 688688441 249223207 1000000000000000000 829928817 112520781 641306986 318989614 1000000000000000000 544145956 243480052 408472079 423627903 1000000000000000000 603340913 159967030 148629652 365657530 1000000000000000000 985062877 20427410 214794727 406537005 1000000000000000000 442032218 134787680 335077494 46599733 1000000000000000000 718634900 587593140 342476061 293867726 1000000000000000000 766891158 382779387 513920996 237993358 1000000000000000000 648695818 288322580 26530218 259859510 1000000000000000000 443740766 303817417 64817315 284464813 1000000000000000000 914110134 446414105 238422744 706761682 1000000000000000000 785285042 305203426 584838787 169342906 1000000000000000000 441180913 246004224 211936461 366570197 1000000000000000000 553996122 43490204 334813189 532232132 1000000000000000000 534410495 332107829 181812050 508181638 1000000000000000000 616419257 582089701 362547348 237382999 1000000000000000000 155781226 50913637 68252016 92830473 1000000000000000000 582944073 185078439 383376287 298856522 1000000000000000000 574075002 566906791 486112950 330435801 1000000000000000000 762126679 169271583 244508963 664521361 1000000000000000000 590667500 377319609 133681269 417180684 1000000000000000000 582346168 439133840 170787744 162502311 1000000000000000000 633539652 45888065 297740986 489317771 1000000000000000000 413519789 290754573 282055506 335113785 1000000000000000000 413192448 213952000 349033711 282060431 1000000000000000000 421483222 384959328 312187932 184799814 1000000000000000000 896108404 280534061 152595946 745389705 1000000000000000000 890313219 654668240 522214780 357729351 1000000000000000000 963373266 384366944 817067327 156985674 1000000000000000000 372842237 216897749 327129102 237594072 1000000000000000000 853163254 155617376 814399126 88488956 1000000000000000000 34884875 9668026 12140997 4960919 1000000000000000000 688768616 383016132 265790650 530408868 1000000000000000000 99721695 6334620 17086156 52114581 1000000000000000000 470232356 390899683 246037595 461466676 1000000000000000000 140709135 140626138 6080293 91910983 1000000000000000000 61351429 7081154 52946879 12699050 1000000000000000000 388175830 248584270 136718407 349835364 1000000000000000000 786160479 589274389 414142907 408151686 1000000000000000000 571562180 120329490 445204113 407041221 1000000000000000000 166973807 40036028 112472509 13992487 1000000000000000000 932813630 808672035 384919616 719635785 1000000000000000000 843764764 157520585 215780569 769403054 1000000000000000000 800001304 286703580 519236055 286696817 1000000000000000000 18922689 8096974 2862813 14455117 1000000000000000000 592362982 339274043 216190654 483028161 1000000000000000000 833593363 55390637 696856915 284847757 1000000000000000000 298861448 122003000 279530051 229391947 1000000000000000000 393497263 293303945 163539060 282131151 1000000000000000000 287956788 55911652 66887160 176768717 1000000000000000000 495903549 440305384 336515331 71510136 1000000000000000000 841828961 263151918 639407831 496100252 1000000000000000000 866215665 322078134 791235660 842450212 1000000000000000000 946040085 883948605 66117815 53487781 1000000000000000000 418269262 48724598 236187337 393065396 1000000000000000000 999146882 73316112 985917933 309061519 1000000000000000000 323963795 234711350 204808409 104743465 1000000000000000000 355616943 159181160 309094739 187499109 1000000000000000000 971950662 576899893 419977417 585710086 1000000000000000000 630630033 284216016 492633196 553233394 1000000000000000000 985050100 574451317 172054615 497922001 1000000000000000000 963925631 35357496 869288653 665032870 1000000000000000000 555660533 329877567 221071480 201215499 1000000000000000000 372070944 330804335 46681345 136454414 1000000000000000000 523154697 508885596 46356599 212970483 1000000000000000000 30289215 27250340 15946538 22789551 1000000000000000000 367241947 362459308 247337715 30353190 1000000000000000000 843314433 247665618 747422420 242602522 1000000000000000000 271494935 176577848 146960160 227126730 1000000000000000000 415999734 106976496 212467603 284945754 1000000000000000000 808710950 149330291 472804077 235852318 1000000000000000000 995187316 137798223 79916858 175181890 1000000000000000000 662540150 520480680 281694744 285316849 1000000000000000000 868280042 117883075 684997483 126692003 1000000000000000000 919322533 720963363 882518154 518353450 1000000000000000000 294896880 248118839 76908470 195277132 1000000000000000000 475914419 124850114 429549435 119049455 1000000000000000000 329540502 143541670 38038607 134639338 1000000000000000000 762020395 231911060 688377703 758946461 1000000000000000000 920742286 701070529 661836839 905704091 1000000000000000000 108433055 61959151 66194422 59151492 1000000000000000000 711190457 505645331 609332269 79593049 1000000000000000000 125449924 38904527 103190783 116024418 1000000000000000000 868560573 59571478 108946641 266868431 1000000000000000000 142018371 121909171 67372174 69833306 1000000000000000000 306252674 262560644 215035184 30027700 1000000000000000000 169158228 60506248 72287731 68879141 1000000000000000000 510253864 190967281 504200969 451470688 1000000000000000000 575078139 312731469 507222872 404805254 1000000000000000000 625334942 47364071 412742839 312063726 1000000000000000000 310456899 189695874 198261413 96210953 1000000000000000000 788409997 25500703 200563019 743932888 1000000000000000000 689630226 512121416 233127282 340592373 1000000000000000000 945305127 427637494 505067478 595548747 1000000000000000000 470486601 350516679 387874844 210137456 1000000000000000000 797598605 794845059 132451917 731283861 1000000000000000000 548119699 106751402 107077542 372016249 1000000000000000000 313391617 135534775 117045668 78036536 1000000000000000000 436649545 285075545 197267238 107739712 1000000000000000000 963743022 158521476 778644947 713762553 1000000000000000000 214326704 83524006 19189661 76829158 1000000000000000000 544510406 226256797 88330285 329417864 1000000000000000000 564917664 453176005 299572181 499219919 1000000000000000000 815312346 288032590 215677678 280997737 1000000000000000000 760262518 318649588 723577264 637069357 1000000000000000000 619443214 116563954 29171361 419362389 1000000000000000000 75047188 32019709 72686680 8743193 1000000000000000000 415658405 227428353 377340491 406265437 1000000000000000000 895435031 543538428 355665809 524401880 1000000000000000000 80489611 60684826 43366167 73394747 1000000000000000000 961310096 909095646 115220226 186318511 1000000000000000000 198808965 3835999 71259678 50229686 1000000000000000000 696395824 514914693 144986481 653087111 1000000000000000000 786772561 652654867 613739596 781115533 1000000000000000000 601033321 546713295 130742130 490614018 1000000000000000000 14508173 8013431 7971466 8847813 1000000000000000000 409919696 399463230 327832027 382808258 1000000000000000000 643444485 106011977 484112087 41632986 1000000000000000000 224997142 146258055 51489892 166882027 1000000000000000000 575645871 102087739 246009826 25622473 1000000000000000000 130516945 42477533 37522903 87381244 1000000000000000000 364578570 349974136 242479022 276042104 1000000000000000000 10038837 9863494 5089987 8304623 1000000000000000000 946963725 654680374 882798755 811804579 1000000000000000000 882428288 58383647 58049724 149576750 1000000000000000000 590503127 176191052 410495527 444201056 1000000000000000000 44346920 4195603 9817959 19905101 1000000000000000000 540416901 140717682 325250077 253104955 1000000000000000000 403100079 71272611 127129062 120539576 1000000000000000000 187689536 78058743 183857582 22984033 1000000000000000000 130078071 67525187 28205118 126018430 1000000000000000000 321485019 32060595 12968717 204128451 1000000000000000000 891553872 15090244 412862206 344698890 1000000000000000000 844261499 467213001 679845263 269204551 1000000000000000000 859600660 189530338 535152464 223327835 1000000000000000000 658264906 211491599 597398749 476656083 1000000000000000000 467365692 417097969 26725386 177777184 1000000000000000000 894980868 261527658 721559886 311103647 1000000000000000000 780285312 323648821 599548157 311614603 1000000000000000000 932794967 74312696 505546022 259267872 1000000000000000000 923277175 449909813 509454469 72939877 1000000000000000000 768046954 219731546 760624703 158896097 1000000000000000000 415205267 188502371 124053294 406681131 1000000000000000000 250671720 199800459 33451502 96541053 1000000000000000000 813599252 129119343 582811378 102363691 1000000000000000000 826797510 229997418 32303639 367580636 1000000000000000000 792645917 579949311 275049545 126798982 1000000000000000000 394318482 39896978 88100505 317750000 1000000000000000000 196620765 96323119 137931602 145606723 1000000000000000000 572869467 112913048 70858681 206761385 1000000000000000000 334816184 142610135 44660981 65200380 1000000000000000000 883040970 245397722 185800471 170717417 1000000000000000000 942371149 208092611 634483435 818619632 1000000000000000000 762632126 104420988 193133493 199996541 1000000000000000000 439485608 27395593 435262691 31039892 1000000000000000000 169064315 59949125 856220 119305259 1000000000000000000 648943110 104539133 34796011 518023903 1000000000000000000 451441217 11369237 172415989 51416458 1000000000000000000 451824153 366551755 248860662 385215037 1000000000000000000 831208258 223642011 464555500 279607205 1000000000000000000 709856568 581852195 40765446 326048106 1000000000000000000 729463930 526216551 468131118 147332106 1000000000000000000 661085287 193295059 314194675 517225999 1000000000000000000 882672298 254156888 289246913 83305448 1000000000000000000 846428993 541970078 282045049 67315280 1000000000000000000 943191210 445290491 868147899 782494271 1000000000000000000 703637873 617218660 509953576 603731099 1000000000000000000 723513327 67461257 693006490 139053234 1000000000000000000 417004510 9700046 16981358 153366588 1000000000000000000 368128071 346136755 81845605 307004962 1000000000000000000 499858726 498390257 100215322 102352631 1000000000000000000 89589763 23377780 62563607 3916230 1000000000000000000 363631204 219839579 281094876 16761358 1000000000000000000 51399749 20535601 51149319 45278995 1000000000000000000 238702932 210999591 51215338 201084008 1000000000000000000 636001435 612693330 353987821 505461366 1000000000000000000 833875863 11472142 783329248 303620479 1000000000000000000 425554674 245478154 331811102 406532267 1000000000000000000 417050965 355220428 143754030 84577367 1000000000000000000 442460815 158654914 242211131 380171724 1000000000000000000 618254103 291625434 95150406 154530511 1000000000000000000 467100443 358445432 400422076 407598138 1000000000000000000 520915536 222794950 114605518 479329533 1000000000000000000 741183904 458118583 595226351 702435844 1000000000000000000 471122641 111357914 164580223 17519212 1000000000000000000 782532312 682868628 544999077 43915179 1000000000000000000 817701606 59097965 672351940 311403735 1000000000000000000 840651637 617692483 822911480 626053213 1000000000000000000 118712112 23875934 75805905 28952728 1000000000000000000 399637774 392298426 147723478 388132554 1000000000000000000 419756330 251126456 317289711 302160043 1000000000000000000 995615101 775830051 804787503 293521973 1000000000000000000 560687427 13896501 118092128 479995978 1000000000000000000 487995662 428357282 257073350 463157029 1000000000000000000 493377062 117382274 14691196 491956655 1000000000000000000 492932059 23541575 280676684 439589249 1000000000000000000 615013047 428991357 490156558 135054813 1000000000000000000 124096260 43033051 63312231 43795818 1000000000000000000 995424331 242624732 482110440 729565823 1000000000000000000 534144300 322537648 352306056 160865493 1000000000000000000 154101787 16922267 20595297 112789263 1000000000000000000 691755994 32731785 400605879 431413617 1000000000000000000 311819935 15634426 239403507 175148515 1000000000000000000 478507267 468070111 67565803 71300079 1000000000000000000 90740572 74309594 22639287 13268579 1000000000000000000 174037431 11884716 104752608 137589075 1000000000000000000 166267595 162195437 79598393 84178357 1000000000000000000 712020687 161073071 444449263 114796437 1000000000000000000 493185988 284028098 184988852 389584102 1000000000000000000 598199977 477733141 88560594 540013480 1000000000000000000 278175730 15952725 202263136 189938901 1000000000000000000 967801432 481179691 858417417 550100621 1000000000000000000 592955726 418443021 115529469 165916196 1000000000000000000 702371425 621796122 696045343 119321144 1000000000000000000 289735456 32638962 107235514 33741178 1000000000000000000 416011003 41720740 392307988 173859996 1000000000000000000 681396892 36789929 271621499 313983698 1000000000000000000 364510928 220619383 290710686 26200777 1000000000000000000 356625450 58794415 73665063 261653609 1000000000000000000 219569333 7062186 143652271 142406902 1000000000000000000 98145536 64510219 40247945 32716299 1000000000000000000 77470980 43302557 65306357 61569003 1000000000000000000 246562973 16075375 161581145 8685407 1000000000000000000 306438880 185654220 28001879 166280705 1000000000000000000 338559244 247189222 21233360 107824897 1000000000000000000 928333774 219120819 434592031 845607612 1000000000000000000 123987913 106347988 56088618 75549901 1000000000000000000 205056998 52514049 30483277 110403184 1000000000000000000 901797277 324088852 542248237 148321327 1000000000000000000 979337599 731864558 653330340 433000740 1000000000000000000 212528111 209284956 31566052 62414652 1000000000000000000 282157180 104644085 182461377 207314694 1000000000000000000 29379598 28656224 3826928 11020465 1000000000000000000 73227758 22108567 13222522 31600367 1000000000000000000 819107544 16681725 74228740 81651744 1000000000000000000 26114470 11604250 8088684 4331133 1000000000000000000 412887605 271864300 320952190 62523166 1000000000000000000 397390558 34365279 295029350 307920474 1000000000000000000 694750194 452287692 542658219 523508762 1000000000000000000 965421282 375093587 533821123 651296482 1000000000000000000 672798313 670969397 564399202 546305118 1000000000000000000 521036826 38918171 418135199 174947577 1000000000000000000 888046966 713173458 735803034 303010828 1000000000000000000 389749119 113423319 284071359 62870884 1000000000000000000 988031451 886011526 268995433 830854081 1000000000000000000 988793144 817672548 386359339 36432356 1000000000000000000 425233570 375666637 39929767 136009001 1000000000000000000 974354469 469225736 902054362 689477825 1000000000000000000 903291370 184892777 190162975 2202894 1000000000000000000 83880580 74166365 56908027 71099287 1000000000000000000 805719601 146617993 10824124 491129721 1000000000000000000 923778060 824090445 732846307 264386028 1000000000000000000 281396520 96978868 274655598 32274994 1000000000000000000 188898754 135738712 13070593 105990767 1000000000000000000 372853569 302797242 350709988 8497888 1000000000000000000 665099266 361869086 340553429 492800149 1000000000000000000 938173741 548776720 881214987 933777039 1000000000000000000 357395002 160232311 60542757 226955591 1000000000000000000 696789107 660602010 617462315 518597123 1000000000000000000 361400530 45705252 212092306 259149371 1000000000000000000 519179457 195863787 224319807 277239939 1000000000000000000 556939378 433318245 422262133 133784049 1000000000000000000 153673277 82998574 2268323 5231125 1000000000000000000 207528511 199539136 93767576 170227995 1000000000000000000 867441734 248472284 48872948 672750904 1000000000000000000 740740194 452559670 533095626 185542157 1000000000000000000 298414585 175830349 140985785 122216058 1000000000000000000 127505106 105842425 111761266 86061224 1000000000000000000 220194485 115739434 35814946 21446541 1000000000000000000 129305656 24015780 126845416 74253583 1000000000000000000 211862954 199213525 44068067 194019690 1000000000000000000 223234335 61178082 44885147 105456528 1000000000000000000 676633072 196237158 278242214 404235325 1000000000000000000 929906772 46982414 809825741 563469472 1000000000000000000 550888141 99387705 118969737 167882665 1000000000000000000 37469847 25859523 32564980 35104780 1000000000000000000 334118991 86352778 154248203 286256891 1000000000000000000 877892438 591846135 220408593 680379262 1000000000000000000 629146472 612585237 376922048 208497065 1000000000000000000 500761834 342684924 434888493 160952717 1000000000000000000 560981726 539908626 412157175 202884948 1000000000000000000 493148971 205186158 33986705 266470865 1000000000000000000 280595902 62958435 19399114 39410556 1000000000000000000 50700964 17727339 18816881 43840406 1000000000000000000 52867774 44864428 10651864 26732279 1000000000000000000 208738815 55277663 118764024 145394526 1000000000000000000 455328061 176654485 153825076 346125290 1000000000000000000 362943239 66787394 268199403 247474521 1000000000000000000 310457411 307486695 76334843 265868855 1000000000000000000 960914018 872955134 381495294 715218453 1000000000000000000 52815659 52289563 50192539 38791579 1000000000000000000 769498626 179230988 377370673 18740281 1000000000000000000 489185229 233066729 416330303 322853765 1000000000000000000 210242610 125587383 204297626 197766033 1000000000000000000 311855040 310164106 10698274 297723135 1000000000000000000 104049399 44428285 27271423 88697357 1000000000000000000 773527752 702479289 438781686 26954596 1000000000000000000 62669319 28550419 55147332 54054898 1000000000000000000 726942023 674879762 169809723 559422207 1000000000000000000 568151799 166154391 160681774 49376169 1000000000000000000 615755450 564872004 454623948 360791020 1000000000000000000 541800672 164520870 157322501 197805422 1000000000000000000 531539625 449484528 237159434 371229564 1000000000000000000 326862090 274129918 55388865 125552132 1000000000000000000 32066711 26369576 5372925 29164999 1000000000000000000 643650998 194887781 447365489 634447740 1000000000000000000 85776256 906210 57784638 78276053 1000000000000000000 278361627 239300608 110793421 141004948 1000000000000000000 69828256 11824364 6708284 69281442 1000000000000000000 20629303 11681539 10839575 13075918 1000000000000000000 700858924 281014884 515958453 601508630 1000000000000000000 796579268 86116039 383086248 149408587 1000000000000000000 329017507 104898736 305574318 42669809 1000000000000000000 369839216 300689102 178570960 218978907 1000000000000000000 434390041 356331284 391231119 75360846 1000000000000000000 864632252 64138208 261717343 811358687 1000000000000000000 122591155 112406720 97489804 106741219 1000000000000000000 419618931 149534313 225651510 76016354 1000000000000000000 58432795 21272074 2914162 56710610 1000000000000000000 909870600 26975864 131796348 163301020 1000000000000000000 429858626 99473310 191646619 378645229 1000000000000000000 356427788 190559812 334961404 191443036 1000000000000000000 914382886 716739820 640366361 223338502 1000000000000000000 268430921 69470458 113953263 229629501 1000000000000000000 375385655 309793694 309601326 196985771 1000000000000000000 324809351 234183902 119014638 288887156 1000000000000000000 128109447 9295053 109176191 90866528 1000000000000000000 752964406 84338614 319628469 559695900 1000000000000000000 289808679 246292337 81609798 5464105 1000000000000000000 506372716 502646713 382474426 402734275 1000000000000000000 146384522 27094389 134056760 110722913 1000000000000000000 799547234 418077755 398739913 396640373 1000000000000000000 210604102 25467641 190123485 60226867 1000000000000000000 271850320 151564381 169566662 61494272 1000000000000000000 598968182 533000048 331028542 243560769 1000000000000000000 698439036 261528868 598765716 195217396 1000000000000000000 177340471 115749563 142245545 144892055 1000000000000000000 118796683 60631492 118289948 93632254 1000000000000000000 375378831 38352384 171201010 248369612 1000000000000000000 901366405 131546461 500769118 532691146 1000000000000000000 182002949 180193303 121391538 97334350 1000000000000000000 499314438 281532181 529311 386122889 1000000000000000000 140715209 30242306 84049009 13766660 1000000000000000000 216228511 176542723 36174599 44619124 1000000000000000000 67551052 66205852 49410679 6400707 1000000000000000000 427471914 395794280 229655224 188133261 1000000000000000000 286387081 86260604 151130616 77737430 1000000000000000000 284950458 29592144 11557949 256916148 1000000000000000000 595880798 494458378 190083151 375544003 1000000000000000000 345615809 230895319 180960980 241823172 1000000000000000000 335819725 41381589 197407994 227204822 1000000000000000000 94857724 40714856 55105708 64341784 1000000000000000000 971559487 235321847 35524273 969363670 1000000000000000000 155389311 17311144 57249861 104091385 1000000000000000000 507723906 128337673 73392999 199543719 1000000000000000000 613722611 357846135 270633027 320468916 1000000000000000000 771110471 69122935 466974171 709232479 1000000000000000000 429273441 195953214 199240368 213636102 1000000000000000000 230204306 156925295 199254929 192513905 1000000000000000000 628004246 407860439 75822811 504986533 1000000000000000000 96172346 13543397 26915078 17235245 1000000000000000000 859256352 264056833 276851780 740987908 1000000000000000000 810731424 470374693 586973465 679025871 1000000000000000000 253497586 39552892 22423925 102644042 1000000000000000000 82515796 75366758 4799075 73635020 1000000000000000000 107092644 69188740 61017211 21871979 1000000000000000000 803182241 371095674 82361577 311834732 1000000000000000000 727323814 376962860 410209176 143222912 1000000000000000000 92692602 18325129 60771711 75565965 1000000000000000000 328509531 285408102 290921251 191549155 1000000000000000000 329003669 175883437 54045665 260855568 1000000000000000000 553788966 413503598 546066595 311489346 1000000000000000000 758704923 207796754 491561665 68845562 1000000000000000000 983904955 650527600 822228165 910245000 1000000000000000000 431609677 251167896 414350575 335406057 1000000000000000000 457814787 382067717 25884147 79461420 1000000000000000000 795583987 559229218 596745809 689751170 1000000000000000000 350813387 197853633 215543558 267791501 1000000000000000000 471543790 327034357 193581880 161115163 1000000000000000000 415529294 364797734 52047655 53124486 1000000000000000000 899432620 678556869 272322880 608433810 1000000000000000000 420337550 266992629 347692885 31605302 1000000000000000000 53919910 39152593 21129665 25204819 1000000000000000000 331251841 309623299 210239437 77253962 1000000000000000000 454394780 304534609 255119619 113966732 1000000000000000000 617873326 613475810 586774299 49573294 1000000000000000000 977302383 801331283 426014754 623206672 1000000000000000000 514294704 270989888 198285729 314168608 1000000000000000000 557465139 496980788 332462634 368281492 1000000000000000000 181963748 8355119 143748748 160342008 1000000000000000000 369570099 180502955 168924951 169455427 1000000000000000000 973533642 225342627 614530292 232014010 1000000000000000000 194339960 68074019 151625790 133605992 1000000000000000000 574068875 265198902 360268432 30998988 1000000000000000000 370383320 277230813 84738391 300384265 1000000000000000000 281598780 75080564 43351573 38732150 1000000000000000000 305418500 81981218 47688062 63583345 1000000000000000000 185024348 76105259 31945916 144003213 1000000000000000000 115732653 106252455 36703937 51892655 1000000000000000000 34065642 14972980 10775488 30759011 1000000000000000000 489356949 107771368 69128971 118756883 1000000000000000000 877691866 782078690 857780760 764622311 1000000000000000000 468286086 294498916 366044873 3383683 1000000000000000000 111232074 14280335 70802298 52854715 1000000000000000000 399279585 71002772 100785732 361036992 1000000000000000000 497560819 286648384 5057388 470490472 1000000000000000000 757396201 153340155 614526245 285744161 1000000000000000000 942191349 883392368 771863124 736078128 1000000000000000000 49638280 22638881 13227823 14190180 1000000000000000000 682479586 18143721 158075212 444963359 1000000000000000000 322883854 316362575 125950727 22710797 1000000000000000000 153998388 28860213 145151461 147009615 1000000000000000000 371258923 40759197 312714022 13328968 1000000000000000000 271694206 16151242 75966524 216216292 1000000000000000000 941485170 916130812 822445565 786764353 1000000000000000000 721542154 258326727 702681819 421600888 1000000000000000000 711441105 349439045 136849502 656851745 1000000000000000000 665953063 336012343 233853046 181898561 1000000000000000000 639582235 628022744 258773252 234688258 1000000000000000000 402267817 71741476 355124718 165925460 1000000000000000000 567165937 29045783 446193323 4994252 1000000000000000000 232232572 3702992 112069112 99529977 1000000000000000000 406221216 253784872 38761637 24350339 1000000000000000000 648255615 85883157 551929496 398762487 1000000000000000000 175012543 166490854 91529545 39876683 1000000000000000000 87442401 21861855 65827853 72588135 1000000000000000000 983002773 495280856 423629124 296518197 1000000000000000000 860269194 597353812 464908461 462219709 1000000000000000000 346081445 74862739 330091658 210191332 1000000000000000000 559361909 74150802 432205749 406058860 1000000000000000000 381407436 126735892 345878355 255875345 1000000000000000000 976241690 746999628 974176829 258724747 1000000000000000000 776860070 294739424 209980695 164661926 1000000000000000000 110653360 74985141 78828819 86917818 1000000000000000000 575945236 253609419 287932023 479991680 1000000000000000000 758924339 335524279 476060019 634839938 1000000000000000000 647994778 458905875 599821292 209559759 1000000000000000000 24203560 7410495 21307868 18935654 1000000000000000000 128183015 33487170 124473436 116460171 1000000000000000000 342370333 25675607 238415661 329905595 1000000000000000000 874626840 780024196 126835665 615813621 1000000000000000000 563217029 302872434 416967559 62701082 1000000000000000000 830300273 438667819 310617660 813255236 1000000000000000000 504334695 63022148 461049310 226968467 1000000000000000000 979097846 96896718 670276677 631512914 1000000000000000000 165733418 48903679 36866999 119570299 1000000000000000000 888783423 363874395 63950556 412767354 1000000000000000000 213655537 142148384 173703694 205683537 1000000000000000000 124460451 31193121 40944853 50686390 1000000000000000000 473634845 203993132 114865037 79287162 1000000000000000000 729257928 174100515 239361946 276460345 1000000000000000000 405141321 156473556 347707027 224891070 1000000000000000000 174474566 40415456 158906105 111344384 1000000000000000000 630521052 500879034 213750416 269367791 1000000000000000000 341458836 135458982 181506375 109191207 1000000000000000000 908392041 520534872 713974153 683123188 1000000000000000000 716280926 307169021 32051620 517037083 1000000000000000000 566122827 52027486 256380627 157248156 1000000000000000000 907696298 607295343 627496739 8176342 1000000000000000000 241207998 130442801 235499211 26319292 1000000000000000000 958146415 601825813 178928223 169433677 1000000000000000000 983222127 263803762 679223872 561092864 1000000000000000000 27511845 24806888 17294141 19891588 1000000000000000000 427390270 106612040 145749797 148297437 1000000000000000000 312543568 259902564 269343328 8762253 1000000000000000000 979866809 620816357 245411485 254795121 1000000000000000000 263847238 153268086 52262354 59603285 1000000000000000000 496079592 345169040 348473200 234793391 1000000000000000000 7417542 726875 2029241 7296755 1000000000000000000 490892156 99219699 312747798 46346617 1000000000000000000 153316524 101042330 102656964 43911948 1000000000000000000 837292448 513993127 646677729 475337370 1000000000000000000 524638870 74054643 506266953 398795623 1000000000000000000 599180582 426898850 51763573 300307499 1000000000000000000 291013696 175616393 79400199 205888901 1000000000000000000 498714647 132904810 173189518 431973595 1000000000000000000 270086369 132941950 232211212 257786629 1000000000000000000 332608582 9385744 328282988 80219433 1000000000000000000 670255494 622560717 454588383 206935385 1000000000000000000 891676471 719472406 561686034 184102665 1000000000000000000 738998284 29682037 382287860 480345340 1000000000000000000 195464276 60293437 76394284 11696779 1000000000000000000 141237433 55009664 97934423 1313767 1000000000000000000 391238314 223065178 270602736 131359761 1000000000000000000 963280595 353347452 754981046 679206614 1000000000000000000 967030755 466285991 775421042 757152956 1000000000000000000 894428775 183767930 704069593 68358282 1000000000000000000 527029111 385407445 80236756 364837256 1000000000000000000 753298212 703153018 304380338 604854835 1000000000000000000 902722469 21581768 333519665 484834084 1000000000000000000 283947538 214970381 157260332 46980108 1000000000000000000 752199818 718535997 180165557 21750598 1000000000000000000 993129155 614866371 716291575 123118956 1000000000000000000 10843475 3878799 5303871 1072288 1000000000000000000 400033275 320338634 195661686 277356595 1000000000000000000 238470583 61993385 218139954 158835877 1000000000000000000 995746049 332584814 145927754 775198474 1000000000000000000 194836476 136429580 144576506 138929088 1000000000000000000 658711737 156870422 613798150 130251731 1000000000000000000 184521863 166962325 95595771 59016542 1000000000000000000 44382822 27837099 37991169 10597129 1000000000000000000 449282248 262254043 135203300 31199145 1000000000000000000 92775659 10532664 59623986 69017224 1000000000000000000 406794287 86258131 69437686 226044356 1000000000000000000 167972553 90577229 77505765 23206131 1000000000000000000 682064259 52299597 510551021 228618791 1000000000000000000 164951453 10523554 95889439 163596984 1000000000000000000 41218443 40625789 28990563 14075499 1000000000000000000 698430488 162002911 50128466 92005434 1000000000000000000 575839576 468761397 338425249 447708240 1000000000000000000 575647327 80827557 94505057 290641188 1000000000000000000 491881165 33947428 14931590 449369546 1000000000000000000 721595941 120777859 67898944 542218169 1000000000000000000 353018151 29013993 163135982 117619672 1000000000000000000 671035157 2056706 468419951 623553045 1000000000000000000 459620887 374810929 154936931 38899501 1000000000000000000 113593377 93654400 51111585 33311642 1000000000000000000 721265334 16713142 136806126 663261052 1000000000000000000 418024258 172842149 85758761 301973869 1000000000000000000 67213155 52266753 3401679 48856078 1000000000000000000 400131920 251595662 159630798 321256649 1000000000000000000 581295830 21336865 500874663 91110466 1000000000000000000 196388375 6417602 7123408 52233984 1000000000000000000 545047066 420445098 43816725 346173541 1000000000000000000 3730724 2823659 1519232 344845 1000000000000000000 329503635 22178587 12912908 16434644 1000000000000000000 460179238 128803733 50350837 386783308 1000000000000000000 366337569 102327019 123648281 190775101 1000000000000000000 64360436 3370024 22438698 46574388 1000000000000000000 784211826 773227673 593514748 114465283 1000000000000000000 618931362 444373000 152489868 351009670 1000000000000000000 337815315 53947040 237306487 50270710 1000000000000000000 680713403 239294971 581374545 216227532 1000000000000000000 923577788 598190887 33546290 749591428 1000000000000000000 262989909 15086654 41394752 206410286 1000000000000000000 282871321 59306647 177391403 42040962 1000000000000000000 481317022 149259396 7004641 323210240 1000000000000000000 657183680 89233643 550747840 485505938 1000000000000000000 731155272 386550961 212887890 87641280 1000000000000000000 437240907 253051626 381649749 264916872 1000000000000000000 606079098 431614594 518726354 497058431 1000000000000000000 469806083 347020030 303151105 353021782 1000000000000000000 913302007 407535654 744048787 505736808 1000000000000000000 42999139 28623593 42859454 5093126 1000000000000000000 468939346 110012894 302028610 149669577 1000000000000000000 899675558 247737295 160761145 768702027 1000000000000000000 381937724 352233576 17938891 240383179 1000000000000000000 975338356 533153169 599421060 208968820 1000000000000000000 780606573 8965572 27613119 254588658 1000000000000000000 604144819 347980665 473999819 51845207 1000000000000000000 941785534 801181002 760768220 557149016 1000000000000000000 355085124 289750612 21451827 235668518 1000000000000000000 973337474 531116191 361982414 577835890 1000000000000000000 774813586 503937097 346012836 526060052 1000000000000000000 139438685 118920931 87625892 137039991 1000000000000000000 925785465 708765471 260192436 911474966 1000000000000000000 521180680 414940402 141541578 208309110 1000000000000000000 952765465 430870341 97561985 821513089 1000000000000000000 165987242 108717012 115975134 119193752 1000000000000000000 426726269 221716290 405337500 287172876 1000000000000000000 317602782 189200774 89198063 102903346 1000000000000000000 551297904 19971235 320858490 185722726 1000000000000000000 283308706 209922035 264409182 244161093 1000000000000000000 43116391 43115117 32715871 30727926 1000000000000000000 681433166 509200552 178407202 45212805 1000000000000000000 369333432 306122822 77604780 72572116 1000000000000000000 349430738 20050000 191738622 304232419 1000000000000000000 318545702 214682178 115411297 180246340 1000000000000000000 465635796 280228655 385554141 83101479 1000000000000000000 618443365 439137262 243114044 267499011 1000000000000000000 980110552 689495583 822129525 467482640 1000000000000000000 57326589 28651044 36188596 29317082 1000000000000000000 914379928 118880253 778302063 205783924 1000000000000000000 806763231 487498933 769422733 469098268 1000000000000000000 18654484 5275994 2286532 6356416 1000000000000000000 377999982 355013321 353647297 38317163 1000000000000000000 244940600 56736456 29889745 204005129 1000000000000000000 372666222 348165407 333690155 110077108 1000000000000000000 942870897 311831560 339890712 736900167 1000000000000000000 358557195 124303704 170981124 244098151 1000000000000000000 112322274 94003974 61944741 78686122 1000000000000000000 409137282 273118004 281861659 111573861 1000000000000000000 322246219 84433180 286713325 58913698 1000000000000000000 43696357 12072144 38965182 33168503 1000000000000000000 599516930 461786360 160919848 582012964 1000000000000000000 128343138 110997490 17397244 45172884 1000000000000000000 728288419 30139755 139575635 580187585 1000000000000000000 180764231 145600493 173748605 5322463 1000000000000000000 524124206 442171427 369672461 31674257 1000000000000000000 224724357 203031476 970898 205544945 1000000000000000000 975616809 425442210 205333435 561342160 1000000000000000000 242988809 11225396 30608896 39888 1000000000000000000 151260513 69339881 85707732 131775385 1000000000000000000 655495203 233364977 232356274 283469907 1000000000000000000 227352042 64967014 143931625 35977802 1000000000000000000 467011180 435601047 95343763 457453549 1000000000000000000 580866598 506950186 183143557 515449173 1000000000000000000 46569695 26467260 18852967 17801254 1000000000000000000 762102626 197885960 382267635 443993657 1000000000000000000 130785210 28108078 55964436 10014035 1000000000000000000 667233588 332994898 599794343 398367987 1000000000000000000 945286983 945276146 153126841 566399803 1000000000000000000 762614701 238876657 255614844 28886551 1000000000000000000 890154110 528454257 131029860 568963719 1000000000000000000 608045439 68543001 405844355 369368691 1000000000000000000 288497541 103297383 197642497 174953084 1000000000000000000 365082306 70502679 49401416 179839654 1000000000000000000 825749293 214713090 166519587 115083441 1000000000000000000 936097673 564215184 295592562 285779892 1000000000000000000 289759152 146918658 104234919 234355267 1000000000000000000 351056393 219148874 339882651 335045757 1000000000000000000 314757229 21228837 42995944 210103302 1000000000000000000 364649092 345614102 116072393 204325250 1000000000000000000 198077416 126695904 4055005 445335 1000000000000000000 899340997 225115006 449023322 70852571 1000000000000000000 49192813 25605596 46227286 37216821 1000000000000000000 169873993 77434246 15017201 59745673 1000000000000000000 938917811 886522913 193885504 605343713 1000000000000000000 771096080 179926166 678246179 171008557 1000000000000000000 437974474 134320347 148910182 351195139 1000000000000000000 596619827 5894736 56262814 335692395 1000000000000000000 835086994 733920697 128218626 202646895 1000000000000000000 855844208 628346839 553711822 837643971 1000000000000000000 297357411 268492023 115303025 224834953 1000000000000000000 756887747 570213394 18405206 100348643 1000000000000000000 464498688 37217729 156425093 378881196 1000000000000000000 873340720 298861785 786923385 690783692 1000000000000000000 78284245 13676142 12582620 39576559 1000000000000000000 166604678 44545226 43670869 47932991 1000000000000000000 466788595 120610092 34418474 268637836 1000000000000000000 164953928 41270211 97637372 150937298 1000000000000000000 740764857 343066265 654592086 607965944 1000000000000000000 587821703 504604816 121046715 392627426 1000000000000000000 638862262 348113404 295513398 417525418 1000000000000000000 599711186 191846089 20675805 509227001 1000000000000000000 464388317 440556775 331646340 319176776 1000000000000000000 362037664 3406420 149906852 248317630 1000000000000000000 563277173 238689282 19878836 470717261 1000000000000000000 978218389 264538484 131077960 852894431 1000000000000000000 242009556 561986 27260140 218586119 1000000000000000000 784347970 702599631 299128635 559345598 1000000000000000000 360132709 43817678 83241045 354549066 1000000000000000000 775716175 436998329 283773569 510477304 1000000000000000000 802028758 640606289 420713486 677277635 1000000000000000000 178745356 55170872 151628586 42728638 1000000000000000000 258266909 150284887 229570227 177773167 1000000000000000000 724899818 605691697 191763988 695074926 1000000000000000000 939008996 73203228 202769735 72142177 1000000000000000000 643676049 262402171 466270535 193404002 1000000000000000000 53815515 39040917 4951005 2364849 1000000000000000000 159839995 117953388 154735790 20416626 1000000000000000000 311558167 54374489 152749609 193254304 1000000000000000000 318878687 119356294 58222548 133214838 1000000000000000000 550322909 423256979 330056127 222766997 1000000000000000000 996224536 894460605 183758742 31499027 1000000000000000000 99812188 24999445 88841051 31566714 1000000000000000000 213329912 152527675 141978810 158690110 1000000000000000000 194559390 156074439 57785238 159061209 1000000000000000000 103833260 44796274 24156691 37248163 1000000000000000000 130182494 56207388 95067257 335899 1000000000000000000 387980272 304101067 53104654 198388799 1000000000000000000 715761813 598614873 157710982 250946401 1000000000000000000 61564110 35607759 57541821 3567065 1000000000000000000 35326633 32912629 14343910 23120047 1000000000000000000 565172579 145053160 369059946 535114574 1000000000000000000 534593067 492897144 383329354 285152300 1000000000000000000 595412299 594235991 151979761 480241532 1000000000000000000 157024327 129055820 151406819 122062363 1000000000000000000 923178096 221604345 465706260 176199465 1000000000000000000 948508743 914598053 904983514 540363495 1000000000000000000 340179044 330352752 13115945 150671514 1000000000000000000 720422205 433287523 436615858 311515891 1000000000000000000 68527529 16860262 20923780 41379679 1000000000000000000 859191775 101227786 658292638 684771382 1000000000000000000 382450615 121825642 236642486 206527207 1000000000000000000 395692983 58579936 332302454 96902725 1000000000000000000 266725671 219486088 156926954 238279087 1000000000000000000 158750825 139111549 140719624 128452614 1000000000000000000 605547512 468961420 461651627 167354589 1000000000000000000 484852316 124249645 337839320 305851225 1000000000000000000 449824840 315239314 418965062 446786090 1000000000000000000 714263024 536883705 197127722 602465216 1000000000000000000 684499743 494563350 514417601 157468750 1000000000000000000 341396410 139425555 20448548 263001520 1000000000000000000 230314296 46136359 174187364 113044122 1000000000000000000 560660784 102116721 38378954 223818421 1000000000000000000 446173310 321808112 357103151 250659413 1000000000000000000 920934691 830262111 224652475 865168584 1000000000000000000 768314283 21422913 65615072 693463350 1000000000000000000 459221402 418622698 446423314 191460787 1000000000000000000 431339812 327615795 347557665 300114118 1000000000000000000 449545115 271651807 355637584 325314729 1000000000000000000 156872809 90649759 3037161 130755904 1000000000000000000 660153392 232979454 127838308 35459474 1000000000000000000 938062708 68405110 604061369 328142640 1000000000000000000 793733010 456749433 315143182 484628889 1000000000000000000 855515002 239989056 402546089 350266418 1000000000000000000 167755179 50900700 132001316 12483599 1000000000000000000 119860374 34548229 10763736 6592881 1000000000000000000 590076179 142397370 581897574 564456952 1000000000000000000 236077185 224511623 191785422 38301106 1000000000000000000 887949708 366011882 380553812 780131259 1000000000000000000 383614596 27508440 175254755 122642897 1000000000000000000 670655493 414162870 237030953 351455087 1000000000000000000 303566353 143232929 220294556 120881206 1000000000000000000 728587088 102663632 357181767 690921677 1000000000000000000 840777876 391073803 646650616 659500055 1000000000000000000 472418567 135259841 345541917 463802604 1000000000000000000 370463315 144244086 202614585 220491552 1000000000000000000 893236555 242247094 433788895 630071443 1000000000000000000 18606562 16086146 3455717 7042510 1000000000000000000 975294491 464595243 4929776 665530420 1000000000000000000 772694367 144004834 82201761 132849131 1000000000000000000 301666301 59216147 120574114 256940348 1000000000000000000 767611722 606061646 603368007 447113688 1000000000000000000 4784172 3668824 3370508 2985823 1000000000000000000 807671054 177674110 8284171 211335547 1000000000000000000 681829133 238273916 101516331 485004240 1000000000000000000 892197638 769575774 868513295 212064047 1000000000000000000 137202220 19669905 95843460 40851794 1000000000000000000 953548090 288477682 816764392 228121719 1000000000000000000 629060277 349141284 471847633 17630994 1000000000000000000 160567242 149604730 79770312 113129942 1000000000000000000 671247137 257298414 373540066 161585404 1000000000000000000 638428207 471497206 91981297 424284286 1000000000000000000 773599919 38675871 107623046 690989191 1000000000000000000 801669580 420756910 526436834 590897509 1000000000000000000 402896386 258233464 329534634 207197590 1000000000000000000 924254044 635828053 748634555 522382853 1000000000000000000 654130823 651612188 26923637 298762821 1000000000000000000 157167430 72105051 97123457 96785436 1000000000000000000 671774444 128492006 609200923 405231868 1000000000000000000 510450787 425157278 493417827 243407223 1000000000000000000 531446221 94089950 397732072 249162167 1000000000000000000 575806621 107803586 454622458 73645021 1000000000000000000 402389703 187169728 171920693 250433231 1000000000000000000 746325783 313188025 291075140 120540801 1000000000000000000 120704866 28463310 67457289 37369298 1000000000000000000 467052872 191326162 271400304 79602391 1000000000000000000 440417838 312757993 411863779 329546832 1000000000000000000 285163734 279364063 97656865 200781061 1000000000000000000 90963888 39909655 7864005 12928525 1000000000000000000 81096233 70985883 41383170 78126448 1000000000000000000 760261191 3366103 314966622 688141940 1000000000000000000 993197168 736961328 724960026 856608955 1000000000000000000 259462628 86237894 143035696 13877265 1000000000000000000 692763337 71249087 178984244 369915348 1000000000000000000 796280155 457465124 446473937 617363244 1000000000000000000 601993835 422765234 505167760 361201518 1000000000000000000 682726488 448150859 570340648 280133030 1000000000000000000 331928061 222091814 314026683 76664976 1000000000000000000 783972162 639207090 209563998 563633457 1000000000000000000 446046922 298106706 254746159 379051146 1000000000000000000 116453590 2404501 79699173 3546345 1000000000000000000 599289202 49081031 351681014 22242485 1000000000000000000 275149676 242418638 11555436 69339210 1000000000000000000 749468875 108596210 163949939 501673592 1000000000000000000 965336050 624325740 872975817 164989152 1000000000000000000 153941397 147761 23153023 38717211 1000000000000000000 243870985 218204265 197916852 32921919 1000000000000000000 819086216 245359372 774060329 701879645 1000000000000000000 63123831 58818421 12143293 60552848 1000000000000000000 649231480 87363175 335035804 167078986 1000000000000000000 117482357 49045972 40790200 48841727 1000000000000000000 195001331 116505350 125854683 163446511 1000000000000000000 860227977 50418858 231880120 526547375 1000000000000000000 74963652 61789526 52882758 53238757 1000000000000000000 486757568 36749526 58067261 437719486 1000000000000000000 599041191 130136857 86344517 417477672 1000000000000000000 541585767 264820172 519597485 14366237 1000000000000000000 177320273 28153528 101706382 144481391 1000000000000000000 34414088 12323464 5960604 16994100 1000000000000000000 402152150 27763459 220895192 10934625 1000000000000000000 469670030 184050679 224403727 365110697 1000000000000000000 465635344 288033621 21549535 465308979 1000000000000000000 218329143 178095331 91117258 179572823 1000000000000000000 280420926 173500353 243467430 189478291 1000000000000000000 503186015 299000596 106778358 416814586 1000000000000000000 57558016 20608606 39834030 43828917 1000000000000000000 93282572 60999616 42752907 36229206 1000000000000000000 340349324 290482489 208080732 144794693 1000000000000000000 55225197 4330535 31906112 14185705 1000000000000000000 165643146 74581841 154446465 46158950 1000000000000000000 731103847 684842971 153084287 117860237 1000000000000000000 423625761 217283421 4134026 199495547 1000000000000000000 12662522 269180 11349519 4579546 1000000000000000000 515558513 203418825 455593902 143679845 1000000000000000000 572723177 531885249 423704882 82656822 1000000000000000000 701281327 87932394 580532448 33602875 1000000000000000000 847340950 455894814 232786711 581976543 1000000000000000000 726805212 5296553 235661780 590158816 1000000000000000000 617952375 107380349 316881955 282146863 1000000000000000000 584312233 538917409 313816374 443162909 1000000000000000000 44644480 20096526 42795349 10350994 1000000000000000000 32574761 21014164 10403538 22436496 1000000000000000000 223746982 210487339 182973779 96074209 1000000000000000000 432928179 381295388 178984220 254356617 1000000000000000000 470088767 329898156 58162713 62444113 1000000000000000000 411680383 88259012 110938237 41695347 1000000000000000000 136886805 1235214 128637923 121381474 1000000000000000000 96599217 86452413 57592484 62589737 1000000000000000000 786153785 213956144 226945460 542471921 1000000000000000000 825181437 11413379 45149666 13322164 1000000000000000000 887952052 636766611 858503078 74165062 1000000000000000000 756020551 212062421 247978767 111596283 1000000000000000000 816263481 464605651 722227542 407962383 1000000000000000000 460966005 407659562 412460255 427703268 1000000000000000000 969298222 572465731 50203500 392182963 1000000000000000000 986615101 827985764 245460975 821669435 1000000000000000000 678484253 24300614 178409957 25160467 1000000000000000000 892960677 246623125 527454123 460754962 1000000000000000000 958535820 606705107 348481471 167934765 1000000000000000000 548463504 29284148 513906470 112231829 1000000000000000000 773778484 490974345 576170322 165782175 1000000000000000000 3023542 376860 1178754 1451446 1000000000000000000 253567004 96692700 208201391 13089091 1000000000000000000 53112245 40228922 46050948 5731865 1000000000000000000 962537021 131008311 645173357 823878033 1000000000000000000 639297173 425872150 609313115 70869080 1000000000000000000 167439821 153023982 165644077 26851310 1000000000000000000 999616177 871578889 634077039 958128982 1000000000000000000 306648783 220595826 147337709 179699941 1000000000000000000 880949125 231646371 498821348 744674580 1000000000000000000 996199788 187400386 741398482 358721033 1000000000000000000 764129028 523181869 195564949 252407386 1000000000000000000 497191951 189768986 92684243 415226785 1000000000000000000 309064216 55184967 287855863 285676965 1000000000000000000 942199705 144688960 495133308 662705984 1000000000000000000 435042788 296774311 88503683 86647455 1000000000000000000 330993531 324437262 223500114 143593832 1000000000000000000 651182759 407014335 468179493 534170979 1000000000000000000 200472730 89242532 162127368 125823284 1000000000000000000 636079979 309602369 22627954 534739506 1000000000000000000 237430915 67058875 16416802 118115682 1000000000000000000 379961593 203492623 280476950 172624023 1000000000000000000 388776951 148097857 202226114 291551612 1000000000000000000 784234755 666267586 760083638 593475520 1000000000000000000 830528319 810221120 715534483 100799540 1000000000000000000 676986315 643152366 156422369 616757354 1000000000000000000 776717465 542805138 748121810 709918904 1000000000000000000 998434612 54381838 276481514 113956234 1000000000000000000 156871549 5034931 111936168 14812770 1000000000000000000 151510986 135908920 7151494 148533101 1000000000000000000 530869763 317273882 499305719 499905033 1000000000000000000 928084178 165126573 538552723 648597568 1000000000000000000 457665537 120097604 251327632 49494732 1000000000000000000 151365230 99857226 92458874 123291574 1000000000000000000 792750844 220974306 174183698 114184881 1000000000000000000 724790222 282611305 348971508 486409055 1000000000000000000 893122001 417371964 193229832 597607408 1000000000000000000 238854206 54447060 146059532 131602737 1000000000000000000 908693882 80330326 903928994 510716591 1000000000000000000 643883474 416806226 159082619 393963615 1000000000000000000 817940124 140619005 790907243 723264124 1000000000000000000 146907880 122697944 95584297 68698442 1000000000000000000 203552693 97421738 77660075 75469762 1000000000000000000 157354797 100764710 6122218 130790368 1000000000000000000 899771877 5550973 72748435 203711674 1000000000000000000 523928005 55592821 9809880 500463627 1000000000000000000 801408380 179839692 138107671 554098734 1000000000000000000 729291037 248964675 127037399 684063157 1000000000000000000 576208298 541272271 379457196 439432226 1000000000000000000 447902334 400901677 217726787 214584860 1000000000000000000 563894291 432150931 200362541 52325929 1000000000000000000 434642787 324221742 20466201 60125414 1000000000000000000 332878924 299007405 233925471 98856968 1000000000000000000 412377745 172883635 81255373 382071780 1000000000000000000 708357349 120049986 357465851 543022979 1000000000000000000 580904094 106933072 181825709 181349309 1000000000000000000 318370160 27362007 95651934 263938460 1000000000000000000 574161227 265153204 37430372 364901181 1000000000000000000 289868017 94809730 26374193 64492311 1000000000000000000 947809900 797177007 835238398 209246972 1000000000000000000 901304299 338425553 675166554 557105905 1000000000000000000 767847081 13411740 574775488 427227698 1000000000000000000 851279893 147054633 171892121 310848706 1000000000000000000 135914153 67324626 120669299 51068706 1000000000000000000 93648322 33010183 62822299 51277344 1000000000000000000 602202772 90976459 53460532 504078056 1000000000000000000 858990073 32158913 592060073 410483937 1000000000000000000 841529687 655505651 107752234 269792652 1000000000000000000 464920339 120558774 290002625 146616714 1000000000000000000 568021300 552930033 183594607 70432282 1000000000000000000 347946768 28390093 316681771 71889832 1000000000000000000 891007126 855646143 365357177 168198593 1000000000000000000 623411162 358937983 514437335 123081786 1000000000000000000 568879163 54104075 247558764 237158390 1000000000000000000 625453489 138482587 507172558 349519150 1000000000000000000 398868863 224921850 346807120 309841485 1000000000000000000 841307199 322281881 339033957 364825115 1000000000000000000 877673596 603670779 396575321 865638041 1000000000000000000 887551196 153800362 489953960 374516047 1000000000000000000 206198197 132463620 120522028 7564105 1000000000000000000 482974054 317922663 422309221 306448845 1000000000000000000 248918965 22638754 167883640 43914072 1000000000000000000 622803197 155479178 329840736 380090467 1000000000000000000 728721468 167311122 692230667 247936435 1000000000000000000 803090280 604773753 296494725 372316683 1000000000000000000 235755613 174424098 143025723 129813628 1000000000000000000 164803576 43797378 34492295 96601773 1000000000000000000 744733073 545205377 480095757 203070930 1000000000000000000 174192037 85109858 156138358 31587696 1000000000000000000 662717876 523567335 183549566 444297248 1000000000000000000 795942812 625251061 170667554 140007419 1000000000000000000 222143669 128504472 101699073 43370604 1000000000000000000 268687772 149447744 133490641 136331569 1000000000000000000 635132097 481670219 339713362 165784323 1000000000000000000 663732014 312626334 115920115 244458049 1000000000000000000 336595594 284196010 113331945 162369216 1000000000000000000 506560721 448898001 356491337 84999868 1000000000000000000 237932017 13512075 144988081 80984633 1000000000000000000 916466796 709007070 363073430 406062881 1000000000000000000 283426538 98780699 164603478 143744690 1000000000000000000 403810427 391516108 132071855 356162907 1000000000000000000 256772089 83331170 24929125 248990074 1000000000000000000 753171117 648378103 249403561 178018226 1000000000000000000 389849127 252076383 312607233 175258705 1000000000000000000 728526336 136220861 642993763 207087843 1000000000000000000 282759455 96842462 256759696 235826648 1000000000000000000 254994507 188394074 58775284 99845938 1000000000000000000 115907391 21524894 101675826 78680980 1000000000000000000 334931599 185689615 1069525 324837218 1000000000000000000 319202376 80541049 266451217 277000605 1000000000000000000 785594956 313987964 11907606 54543012 1000000000000000000 114621566 801779 263410 79257906 1000000000000000000 132094464 45655440 58011514 116207811 1000000000000000000 910648916 252089384 863739635 642961452 1000000000000000000 245173680 168265499 195094219 137104697 1000000000000000000 479057072 307523389 386146158 102280477 1000000000000000000 64229439 61488710 27286372 9980427 1000000000000000000 667338710 253045282 131800150 430789328 1000000000000000000 287638823 169776195 86434213 109819105 1000000000000000000 277300028 264905449 196123027 6881585 1000000000000000000 480913738 459434551 128140894 225160307 1000000000000000000 930335096 34723880 868744016 751702183 1000000000000000000 214097203 166651690 200605814 123788386 1000000000000000000 461653530 217241846 62279480 407200209 1000000000000000000 111597452 12781652 22390163 14812697 1000000000000000000 632875007 629412147 336082478 308504240 1000000000000000000 438735726 251514596 194872933 2766152 1000000000000000000 46414326 20375599 26717088 37633367 1000000000000000000 142489085 33650720 52184832 79175944 1000000000000000000 915907328 190993260 714044415 694097817 1000000000000000000 931947504 809668324 731346181 482458486 1000000000000000000 882639078 515917439 188396675 511697119 1000000000000000000 446471811 139202910 64373700 88467732 1000000000000000000 944096362 53022849 721998755 700360947 1000000000000000000 725538910 272245918 455249485 255085550 1000000000000000000 558572073 20827704 124933866 313430213 1000000000000000000 58314044 17893545 56946949 2770259 1000000000000000000 799436586 190433005 348866373 196773672 1000000000000000000 218081493 195285624 8274914 102718502 1000000000000000000 70982340 17398748 43583997 8293716 1000000000000000000 642367661 270283304 60685792 358464098 1000000000000000000 145940986 38387659 30553100 88064848 1000000000000000000 403673238 102849391 218495156 139209270 1000000000000000000 964276492 481046456 583709221 121084127 1000000000000000000 518151953 493759757 70553294 411722858 1000000000000000000 275402714 145171257 71045843 234818490 1000000000000000000 421760825 61015500 396421340 102093061 1000000000000000000 392569344 117435997 281909333 96823386 1000000000000000000 387705294 283191310 8871608 215970839 1000000000000000000 520748960 251803795 79805814 117651556 1000000000000000000 932897246 921826024 129415301 872939836 1000000000000000000 53646254 6818253 30218739 22380837 1000000000000000000 230083267 61128243 3942256 131236093 1000000000000000000 842143420 104966714 291439859 399238506 1000000000000000000 566038095 448282593 212336051 42263443 1000000000000000000 296472923 182690753 44062167 18380936 1000000000000000000 399214512 137942573 302751502 315715541 1000000000000000000 262944868 158601738 86076001 245745744 1000000000000000000 115327373 75216288 106847293 3751599 1000000000000000000 639137191 578851994 59119206 474006531 1000000000000000000 170493582 170420563 36873536 148070314 1000000000000000000 683559022 135449886 101741993 523061037 1000000000000000000 526831421 70624866 105718806 297540334 1000000000000000000 460338262 133279123 92192374 416522827 1000000000000000000 900796919 230851223 235213886 710593509 1000000000000000000 603968246 84922364 553681637 506876916 1000000000000000000 928027658 686092569 285959772 333929271 1000000000000000000 146752914 59001739 32573969 85478217 1000000000000000000 973400750 308562719 857684217 170937701 1000000000000000000 818971162 222016086 86434596 464429473 1000000000000000000 947353444 297455337 547487091 627940507 1000000000000000000 97110360 72993343 82347007 38519985 1000000000000000000 762140127 45348595 302539008 170249515 1000000000000000000 800398637 554605029 86589159 333695272 1000000000000000000 383151794 255419699 284474656 112637421 1000000000000000000 490488137 196523325 482688297 408691719 1000000000000000000 439291630 167930546 37622858 174928985 1000000000000000000 991515934 40396811 980940242 232116429 1000000000000000000 707166848 543839775 332408528 422560845 1000000000000000000 292926536 78043305 108813544 155634100 1000000000000000000 754072219 238749944 51453394 87365662 1000000000000000000 920280120 867974370 536867226 898552501 1000000000000000000 48680404 38405134 22263724 43760732 1000000000000000000 531556074 378950869 347523878 406720405 1000000000000000000 994206665 44367010 665908045 648166084 1000000000000000000 28133662 27598699 18266876 4371209 1000000000000000000 77745293 66247157 22995710 11134616 1000000000000000000 457501848 84247366 299994994 122185750 1000000000000000000 457718751 40653077 282251182 439896759 1000000000000000000 640441422 283372568 108914876 390833659 1000000000000000000 630480904 348866245 625474151 119348025 1000000000000000000 798977078 665443992 696437331 324467053 1000000000000000000 320363113 166417878 81933279 260037209 1000000000000000000 346456484 17013869 39324607 277920061 1000000000000000000 178891187 135016292 23740701 16441172 1000000000000000000 609888249 514363762 64055969 548199204 1000000000000000000 712364182 611890606 206615672 315032629 1000000000000000000 670641031 470713325 50548727 547947855 1000000000000000000 228339362 95900261 111203435 79778847 1000000000000000000 655645083 51433811 599348157 401550910 1000000000000000000 556483561 456433720 459994734 203689035 1000000000000000000 23973860 16736350 8292265 12903032 1000000000000000000 289853326 135384074 214041278 130562492 1000000000000000000 748271135 340133567 283343041 613719499 1000000000000000000 568247490 366080977 41351127 563624079 1000000000000000000 561823051 417888254 413959362 392466042 1000000000000000000 688563152 426909036 504395992 361455296 1000000000000000000 550768113 81495930 35850695 366509191 1000000000000000000 132600860 38756383 106376743 14094133 1000000000000000000 536922706 317130558 248878268 126296263 1000000000000000000 446857274 103927615 59309418 174707097 1000000000000000000 943221551 37031615 764076400 711122845 1000000000000000000 823507194 97803072 481176526 455681595 1000000000000000000 23554608 9906629 9974466 15453370 1000000000000000000 872650569 795355630 732811069 298611221 1000000000000000000 530490033 43625561 525296202 252191816 1000000000000000000 825026666 2149798 474802848 206226033 1000000000000000000 521847845 285878689 292489720 177706361 1000000000000000000 450865310 413088062 129488519 443594829 1000000000000000000 481439568 395862587 200139422 50985217 1000000000000000000 597173442 403430775 6941613 307745013 1000000000000000000 838989404 765220938 432266539 433830095 1000000000000000000 606516460 393373073 479048562 320179956 1000000000000000000 976103294 240967619 488502903 641373990 1000000000000000000 888564684 718895441 103565442 856326881 1000000000000000000 841423324 388175239 721452743 572893773 1000000000000000000 965957809 16845279 807820981 11325894 1000000000000000000 310354498 25493458 261837950 74709375 1000000000000000000 970275394 77214234 148879986 544056564 1000000000000000000 208319643 189824351 28324261 30644647 1000000000000000000 942473458 919254304 620437711 615035813 1000000000000000000 996064218 426334752 7829422 564353421 1000000000000000000 440955750 243756053 236551146 379921264 1000000000000000000 899736219 170698751 482784063 42347366 1000000000000000000 828748879 327982094 306102829 808515778 1000000000000000000 985113952 680843065 60134927 616851229 1000000000000000000 888309842 670905529 300025308 223370365 1000000000000000000 325133654 196290289 131774378 242495067 1000000000000000000 644556861 164634220 150057011 556385744 1000000000000000000 126516505 32086058 27951907 59789131 1000000000000000000 293435390 142387338 163307296 131277968 1000000000000000000 213206328 74439946 68217834 194007909 1000000000000000000 946833403 26587846 656483312 846835054 1000000000000000000 518263098 192002208 253845316 484441481 1000000000000000000 158578628 71519650 45005961 20715498 1000000000000000000 201392689 194053549 85688655 10432427 1000000000000000000 379046382 378454908 167288623 64742455 1000000000000000000 374503845 193494750 311833745 191240016 1000000000000000000 157750718 116209632 38451014 50911367 1000000000000000000 263671220 128180526 19983787 39647036 1000000000000000000 747613266 633558655 297322651 522093331 1000000000000000000 443638165 153313096 233243392 37097010 1000000000000000000 382919135 320455063 106617713 100154598 1000000000000000000 287427184 44263442 200142937 159743761 1000000000000000000 765413133 79081826 380027891 323644333 1000000000000000000 473918803 224394701 203374135 411220827 1000000000000000000 539048084 96133088 429729335 178367216 1000000000000000000 820522603 747801641 347318946 350702245 1000000000000000000 269251360 118420293 61755750 140045414 1000000000000000000 174324079 31109509 7552626 3278703 1000000000000000000 930729213 228395018 912568142 469208769 1000000000000000000 524668730 443618627 163346220 252171008 1000000000000000000 729825467 299477689 314689208 29368194 1000000000000000000 613683002 340223504 513161348 248923177 1000000000000000000 220972159 73435185 200795000 54511758 1000000000000000000 5624460 4194537 5592574 583615 1000000000000000000 362416485 297539323 226216078 74202980 1000000000000000000 604349228 303677679 123318965 57504570 1000000000000000000 347273173 282671760 86530667 30245503 1000000000000000000 56431944 48851127 28817577 26858115 1000000000000000000 488883845 375956544 253215277 416443022 1000000000000000000 718008494 601538033 537564279 460379943 1000000000000000000 889600778 749564777 713937291 498802970 1000000000000000000 815383738 619082541 375754996 531783655 1000000000000000000 727401999 193136630 309435477 247902584 1000000000000000000 939038582 470394074 194218015 757172776 1000000000000000000 122525014 74518679 76008767 112089784 1000000000000000000 406680280 272055191 386552455 242245399 1000000000000000000 597223635 447857113 211989089 66777744 1000000000000000000 573707604 453527852 516525703 356094177 1000000000000000000 574905415 11392212 423550621 221146470 1000000000000000000 495818897 421174255 59943566 44909909 1000000000000000000 898312275 265513919 175754897 456576593 1000000000000000000 381544688 177683552 237640226 294233586 1000000000000000000 580999298 541065588 246830134 222524023 1000000000000000000 41200570 27580760 39870536 25089522 1000000000000000000 569070567 184095706 313850252 515498952 1000000000000000000 795421876 407729114 150247432 662760798 1000000000000000000 773835014 240977305 666848455 272235576 1000000000000000000 422562644 33360768 367002374 229988194 1000000000000000000 659984876 502186311 7001300 200388668 1000000000000000000 568953151 461544454 232722126 117816362 1000000000000000000 264841472 170393190 191942727 161023401 1000000000000000000 401008862 318435006 190642918 318334035 1000000000000000000 366170800 254352925 360009145 165241654 1000000000000000000 953670916 843414418 35342619 155312334 1000000000000000000 609446914 410549137 279834114 302687595 1000000000000000000 879307502 180281756 138793127 491327346 1000000000000000000 448930790 283898610 18762160 211203850 1000000000000000000 869880719 467728105 150037802 26229242 1000000000000000000 385033481 228107575 55943209 127995736 1000000000000000000 5573579 2577711 1220845 5537303 1000000000000000000 524444748 272647653 92934022 246497484 1000000000000000000 437620985 14685353 337004471 60688137 1000000000000000000 370744462 19343318 254348843 76772255 1000000000000000000 280661842 126570149 150311159 118365283 1000000000000000000 804765836 677261456 536495041 403241060 1000000000000000000 399579624 324751080 6126692 7078802 1000000000000000000 371715544 68360625 211799872 283022413 1000000000000000000 354238144 162145766 22928739 250692584 1000000000000000000 883049086 50472621 167176537 540277018 1000000000000000000 535247865 446371854 263963616 325486762 1000000000000000000 97056435 22004636 22309077 19442305 1000000000000000000 137153017 90528598 118621161 119039212 1000000000000000000 506445472 163646237 406887615 159043637 1000000000000000000 355224897 110033497 63977435 213008798 1000000000000000000 37112843 23255164 8653766 30170366 1000000000000000000 727788456 255186102 460958919 318104616 1000000000000000000 832817049 805809471 55311361 369302009 1000000000000000000 964926903 760067247 600755770 470076355 1000000000000000000 126265048 87167606 12245166 25258933 1000000000000000000 820132010 238513363 411252338 737818662 1000000000000000000 169056168 66096477 41083751 113451949 1000000000000000000 637838444 626545993 310684713 307818870 1000000000000000000 281414000 189007864 64914223 121975214 1000000000000000000 157087636 119082745 88163481 28361648 1000000000000000000 712663893 298057161 88719296 229352791 1000000000000000000 189300440 177642023 184372083 70164376 1000000000000000000 805219211 223096521 755825948 790293764 1000000000000000000 570415202 559323022 215041800 390070247 1000000000000000000 759853738 419817251 232059604 451748909 1000000000000000000 374133933 38025833 314517251 188778192 1000000000000000000 238812660 195167672 218065968 193075577 1000000000000000000 42333284 27463707 23549667 31347250 1000000000000000000 594126437 449842951 170501087 432579848 1000000000000000000 387195122 331983418 132077852 196072047 1000000000000000000 601882637 223908894 473105551 351623062 1000000000000000000 725387752 650022764 724417295 299905692 1000000000000000000 643876719 326777283 211084202 252987474 1000000000000000000 503931629 463082575 444934663 63548378 1000000000000000000 183320293 87644371 136336035 74729731 1000000000000000000 460298149 274145575 417772864 33599639 1000000000000000000 545785302 458107436 441938666 130910482 1000000000000000000 262390959 150328969 28539407 148330528 1000000000000000000 759366378 197981030 447053647 219663180 1000000000000000000 252069872 114985151 201000296 150423505 1000000000000000000 965456131 68586341 580786227 253929120 1000000000000000000 668430069 435889736 605367634 305915489 1000000000000000000 424546442 106994687 374769863 97576098 1000000000000000000 716375276 697262662 542904588 572248658 1000000000000000000 803557366 143507465 754275324 323066152 1000000000000000000 202096216 176375108 76612337 28740980 1000000000000000000 188816480 112206381 144481023 174044239 1000000000000000000 137204294 63114822 62746681 69456598 1000000000000000000 132454111 14405530 100775892 64641470 1000000000000000000 767359026 753673199 584548018 490162799 1000000000000000000 395821754 186056417 38553732 91803517 1000000000000000000 369489121 260438871 8858814 301461694 1000000000000000000 926708278 110748110 372647545 585113789 1000000000000000000 65651341 25958941 14925658 26222972 1000000000000000000 327628215 316533488 229638799 305411616 1000000000000000000 161454479 33821728 59088279 74157355 1000000000000000000 574397193 204195220 195698709 544358894 1000000000000000000 33808757 2256186 16507267 3300256 1000000000000000000 882634762 128910483 150981414 242981257 1000000000000000000 652157483 278641649 219045070 453833289 1000000000000000000 430343659 11246432 422974126 166674962 1000000000000000000 400019231 1035245 181358314 246344770 1000000000000000000 431463388 16570108 59387167 366854056 1000000000000000000 542522777 449062319 202358751 524333804 1000000000000000000 164384852 95908984 86143714 83054488 1000000000000000000 170381828 146312380 23060662 77430205 1000000000000000000 561278927 201487998 356943665 331041130 1000000000000000000 234944560 141514560 63609719 111023877 1000000000000000000 617894459 242903464 252330663 586908410 1000000000000000000 262998390 10411441 154607811 214271765 1000000000000000000 703119386 561375526 53299851 282113175 1000000000000000000 931154445 256532009 212784293 671310051 1000000000000000000 673865095 581478133 99818946 571748263 1000000000000000000 213891298 35315911 83216407 148501945 1000000000000000000 671864052 525063351 648249256 386911490 1000000000000000000 911228302 878526248 713407598 744522124 1000000000000000000 274870902 203028041 75557686 18235109 1000000000000000000 58909670 16916421 43570290 13407743 1000000000000000000 212170324 189586871 59544856 115252838 1000000000000000000 236566024 150985456 93624141 52857322 1000000000000000000 508097437 380860548 154138923 447293382 1000000000000000000 784169628 108157297 64377319 422237273 1000000000000000000 613978700 490327095 121829034 354098560 1000000000000000000 858257114 314210839 302281883 213122279 1000000000000000000 268710628 217731395 59411816 173754255 1000000000000000000 405448042 359955141 337041300 314332030 1000000000000000000 201264281 95548141 134668525 199232769 1000000000000000000 561186613 492887134 531393660 363437815 1000000000000000000 124717243 48580435 119702982 98445867 1000000000000000000 822733022 167114178 70825419 419855764 1000000000000000000 677784334 526829887 446361095 145336305 1000000000000000000 608494127 189058585 576657934 569698304 1000000000000000000 559267076 369717982 64573551 397314232 1000000000000000000 413943976 159657614 4567849 290335895 1000000000000000000 207400793 126153418 69296781 18831486 1000000000000000000 345366043 29388002 152095917 310952636 1000000000000000000 402771923 318288003 42693552 313929430 1000000000000000000 865902831 441841060 721741621 661610644 1000000000000000000 568218251 336126900 219513100 333960829 1000000000000000000 811524891 623481195 645695492 448565560 1000000000000000000 766693750 342243373 396114288 557741661 1000000000000000000 369657638 167138171 204769457 51686451 1000000000000000000 802605978 468944882 794158111 162390127 1000000000000000000 664295565 8223074 537305899 292796252 1000000000000000000 294989847 132759677 57907465 41658120 1000000000000000000 243123294 66611011 128954129 238389879 1000000000000000000 142776107 105674039 39186289 27489084 1000000000000000000 428909483 379945738 178092797 218710659 1000000000000000000 333241946 247853953 1845376 282534632 1000000000000000000 747334826 477888491 574648852 600740190 1000000000000000000 326277118 155656208 297473581 182099536 1000000000000000000 739142802 374057659 143759453 265171515 1000000000000000000 27883072 2287968 4445290 21923095 1000000000000000000 15724378 7000929 5537412 8502252 1000000000000000000 956847322 767871060 239633158 55679463 1000000000000000000 958288944 955091596 263417039 298841544 1000000000000000000 236504983 233614758 208331942 206976264 1000000000000000000 349452563 91451627 128505267 322374214 1000000000000000000 960216326 188183510 742276088 916676769 1000000000000000000 240660815 168208305 25042626 1410086 1000000000000000000 641359165 289289608 112834819 405115828 1000000000000000000 453321709 194740215 402674481 24000472 1000000000000000000 132413478 32916137 88802522 106322687 1000000000000000000 673578018 66487561 632434355 553698014 1000000000000000000 986529833 898399044 509004507 492653488 1000000000000000000 315086654 161185914 202869917 42193578 1000000000000000000 471910880 18747925 32135397 280028861 1000000000000000000 807011423 68271931 421718937 88441359 1000000000000000000 928365875 633216269 653455323 571012122 1000000000000000000 154889626 24334389 80811814 97464159 1000000000000000000 158959761 83787433 153197059 41923961 1000000000000000000 495386909 205137750 453351788 150262988 1000000000000000000 816338871 744534153 26859264 266870348 1000000000000000000 878353744 436680015 773947834 723837629 1000000000000000000 181157167 8650467 110383697 120102530 1000000000000000000 737374550 76844508 157954824 523007295 1000000000000000000 829142982 668288328 562492787 279856964 1000000000000000000 288276529 276228978 268364240 55144437 1000000000000000000 184876512 172778548 160076133 154473854 1000000000000000000 643720421 263892999 639516015 53283246 1000000000000000000 672353124 308642250 215188241 218089916 1000000000000000000 830982903 519707752 41931022 436768069 1000000000000000000 499159313 302990132 201285748 368280546 1000000000000000000 438312065 174519961 168090785 155456348 1000000000000000000 885094718 754015606 578444110 214532393 1000000000000000000 856637906 649728826 189647735 381407676 1000000000000000000 777912062 640506737 698365705 106216348 1000000000000000000 243694297 19189438 151149225 117216373 1000000000000000000 509076380 94342456 221351298 115459380 1000000000000000000 881628020 528421688 791122177 594126200 1000000000000000000 496023483 175822506 318718669 75494914 1000000000000000000 280361208 264874898 55668147 169435642 1000000000000000000 999468411 204590530 945726818 577736889 1000000000000000000 179083626 87398510 148679207 100087209 1000000000000000000 888165099 196006357 675693377 66854327 1000000000000000000 819497630 11666447 473182484 234252155 1000000000000000000 921586388 715745262 447626827 795754091 1000000000000000000 389094197 179420180 156032381 166574112 1000000000000000000 778462422 656062916 270660580 564074798 1000000000000000000 959562203 923015181 210209372 753522147 1000000000000000000 939112883 121287650 537715945 150367687 1000000000000000000 855455278 106532225 104767327 432034955 1000000000000000000 411783189 309329181 231406044 266640897 1000000000000000000 136993775 135297119 70107069 117001944 1000000000000000000 188890289 43190938 93027392 45221201 1000000000000000000 566093431 470757374 411145838 320275454 1000000000000000000 243847333 205307203 46232497 81993514 1000000000000000000 28822518 7373833 28569841 17130564 1000000000000000000 47271106 19991193 30979230 16055329 1000000000000000000 470481293 33237041 205113072 316244433 1000000000000000000 479184307 165416099 212996465 239112499 1000000000000000000 949011446 460493678 703380737 205696485 1000000000000000000 61972523 9316998 36503072 49683225 1000000000000000000 537700185 451900924 47888097 240542454 1000000000000000000 398239687 3288008 279951811 394133906 1000000000000000000 235131980 209811996 202153392 48041103 1000000000000000000 461307044 307356640 247368783 218556403 1000000000000000000 63652654 22097922 17412604 51976693 1000000000000000000 445705877 37014545 366119616 402913269 1000000000000000000 139601302 49067248 71511590 111953227 1000000000000000000 946560851 881757134 323523762 157037075 1000000000000000000 147679417 140394596 66764453 90010310 1000000000000000000 578591231 415996866 498590743 538890459 1000000000000000000 678550883 146329928 647913351 567215426 1000000000000000000 224627967 79202033 55440002 130604937 1000000000000000000 605622823 228566584 488655810 282904480 1000000000000000000 614204198 80361660 328836833 228713081 1000000000000000000 610439643 79162150 353188851 418146893 1000000000000000000 758386381 537652 228376800 567575827 1000000000000000000 279945567 108086587 17464833 231786454 1000000000000000000 820251783 522346375 752880246 44985894 1000000000000000000 129359978 102306428 128947894 32353805 1000000000000000000 317853719 146516142 71940021 93806198 1000000000000000000 961283086 958414163 676244628 496517286 1000000000000000000 808949705 655106428 692072610 249072670 1000000000000000000 210071908 126063272 91423132 204272632 1000000000000000000 873312371 81115582 197291537 631828759 1000000000000000000 673280987 54866845 550955945 610433580 1000000000000000000 13659143 12820595 12061204 5224294 1000000000000000000 918095775 735861231 900853029 84990977 1000000000000000000 551478569 304822884 10010715 534336727 1000000000000000000 642766647 416430492 392942309 255635870 1000000000000000000 829273595 823447150 28214638 142673445 1000000000000000000 917724683 336481093 465639995 533458500 1000000000000000000 547149017 511583694 18877873 306069127 1000000000000000000 815844399 429847163 101126369 397970930 1000000000000000000 708882134 256534975 212646608 552253896 1000000000000000000 613177948 408735454 567706568 603810075 1000000000000000000 894448790 39118958 688377999 348993680 1000000000000000000 894310452 223698624 449698287 250909467 1000000000000000000 919300739 767534695 799346241 406369982 1000000000000000000 683465600 300082243 72934598 4042348 1000000000000000000 273406644 177892246 49848391 213984964 1000000000000000000 449104266 210793644 196717484 148802572 1000000000000000000 233553916 220850044 103547103 46868234 1000000000000000000 494190855 429727667 198663768 284691199 1000000000000000000 438283997 252350837 159400980 263509518 1000000000000000000 270376454 218656742 137926615 106544978 1000000000000000000 486301734 135881327 301169841 70351232 1000000000000000000 512100354 361652409 458043813 41670519 1000000000000000000 942652420 653464517 606588275 663030926 1000000000000000000 542936113 538977472 6234368 10091250 1000000000000000000 393252675 16189494 78753831 11202527 1000000000000000000 21081881 17343338 6397378 17888633 1000000000000000000 834064440 254200773 59702920 62077823 1000000000000000000 665200065 413888565 71719107 133794272 1000000000000000000 969555471 639292597 577010098 564872449 1000000000000000000 65380674 62595749 29179973 17070485 1000000000000000000 120309350 58339161 110435105 114942100 1000000000000000000 138161826 61440348 30219781 49600453 1000000000000000000 623944161 206348551 448030971 499893053 1000000000000000000 515872022 333098528 75682180 411595460 1000000000000000000 124569129 55380236 79023182 20531247 1000000000000000000 704353853 338053577 684465819 628607218 1000000000000000000 118373925 72209017 58645123 84616644 1000000000000000000 883833931 560360633 671166691 25372499 1000000000000000000 875901789 459305987 301776499 596738444 1000000000000000000 830992702 710060922 380812756 624302558 1000000000000000000 225916270 206353412 57573863 84879467 1000000000000000000 675492850 368796967 668028440 668710247 1000000000000000000 903180946 875411616 667273371 111740356 1000000000000000000 534642052 374773858 198227456 329681718 1000000000000000000 481161189 279876618 41897086 263481027 1000000000000000000 939383115 19516712 852499033 47372724 1000000000000000000 809525762 726366612 621352332 96088299 1000000000000000000 32322524 5850713 23440675 12742890 1000000000000000000 917896589 406128454 519643163 886582307 1000000000000000000 151036749 84380648 51073861 146983776 1000000000000000000 779597988 188783867 272161319 234642549 1000000000000000000 726711999 267103815 599711107 672880658 1000000000000000000 375833212 120105481 54113720 56918268 1000000000000000000 70487524 24457793 41352758 11590168 1000000000000000000 178502788 127781819 116498528 72823779 1000000000000000000 953021619 828130213 115914764 169819799 1000000000000000000 769331307 481918992 417579129 438513860 1000000000000000000 831136672 413565875 637837151 163187959 1000000000000000000 905165460 415001925 169784136 329255887 1000000000000000000 233882114 169086296 39482926 212676841 1000000000000000000 686481885 418590205 645126301 640191403 1000000000000000000 110581582 36067128 57006213 75889641 1000000000000000000 456769421 377561343 318417382 118415004 1000000000000000000 518674633 166091334 167328327 382358444 1000000000000000000 960386460 368301077 216821115 160456681 1000000000000000000 668297709 216873085 102496037 576314578 1000000000000000000 204882453 60363467 72035331 192358553 1000000000000000000 944248658 442846277 10153365 251480308 1000000000000000000 684187449 501108325 171188497 267106960 1000000000000000000 618921839 90589507 433801298 372829955 1000000000000000000 366498112 64953921 311812693 158286025 1000000000000000000 818775352 436598115 571655623 676703035 1000000000000000000 762112828 90272141 509484367 358779029 1000000000000000000 504325447 386479499 49032283 168448097 1000000000000000000 58290547 27338943 27268722 48518825 1000000000000000000 593329744 252572172 507756585 209033873 1000000000000000000 106012126 16011207 15477360 8441856 1000000000000000000 523253543 454685610 438249495 280321128 1000000000000000000 227355682 212942421 193282243 82727655 1000000000000000000 908807388 176357181 466012799 795681472 1000000000000000000 404856910 149643676 92336927 357979273 1000000000000000000 96591868 67310264 29676738 4676279 1000000000000000000 49955712 2706994 18629938 4288644 1000000000000000000 327107830 53655781 90320183 304325320 1000000000000000000 775878195 511502342 640367507 286672705 1000000000000000000 203707662 65189488 126285737 8281000 1000000000000000000 673091741 593451813 603706277 570652898 1000000000000000000 979654808 255851938 355579880 910091165 1000000000000000000 461802833 352494823 230528616 429266842 1000000000000000000 700629764 33157680 521511325 551525741 1000000000000000000 614145664 485758625 66061676 111494755 1000000000000000000 150772968 83067462 105486963 52113939 1000000000000000000 82691293 17540168 48618518 2442908 1000000000000000000 159779954 134727915 82743391 158973270 1000000000000000000 593172787 157291113 144249950 311783768 1000000000000000000 209270814 128005843 3391510 9854509 1000000000000000000 802219568 359460455 502956595 111909762 1000000000000000000 91412270 80966925 39588394 5916119 1000000000000000000 177014051 79640941 107792453 66239269 1000000000000000000 94337660 46609444 30565053 19991626 1000000000000000000 649104466 568966088 567857136 228842328 1000000000000000000 811898437 627144049 756144096 285008930 1000000000000000000 155273662 142753003 152786633 79504884 1000000000000000000 288318407 201748205 227869807 169426455 1000000000000000000 907790721 49494782 664524741 767388709 1000000000000000000 31588177 18014871 10912056 26486768 1000000000000000000 981886009 352165010 749925412 101658120 1000000000000000000 709266080 18808541 621409138 27012545 1000000000000000000 423888564 305060980 114030703 170359551 1000000000000000000 921321151 247238239 911595419 827705930 1000000000000000000 560354070 299408244 329951650 40847405 1000000000000000000 564365361 245159268 257391519 339993243 1000000000000000000 387236490 136729854 100115707 99460043 1000000000000000000 733088726 78380315 210782186 134187872 1000000000000000000 123032625 103985509 18880752 55922924 1000000000000000000 23957871 10063342 20390402 6473747 1000000000000000000 898694288 730971382 62767369 488479972 1000000000000000000 439589608 134683170 151176412 254275744 1000000000000000000 698723259 22179686 654082702 197713041 1000000000000000000 511144173 348566674 112047030 201507645 1000000000000000000 45562143 13870601 34116836 828242 1000000000000000000 10330513 4788843 10217458 1112134 1000000000000000000 244922652 100751365 34100401 174020390 1000000000000000000 250508428 99864330 200056874 5606836 1000000000000000000 400356913 131565776 390777376 191423802 1000000000000000000 530998899 211611798 258340957 409118219 1000000000000000000 336314418 123502891 323220776 40055377 1000000000000000000 44225847 37449075 4025587 20550054 1000000000000000000 505387685 237482226 30913741 85845875 1000000000000000000 19904447 6378223 3645447 11580966 1000000000000000000 20571607 5395104 18002176 4961712 1000000000000000000 631782974 606401903 154126897 147231191 1000000000000000000 4300646 2265492 539971 3500540 1000000000000000000 174969847 25585082 43873871 137011317 1000000000000000000 243779507 233864576 181795606 140976987 1000000000000000000 376032751 62504494 176640183 275585844 1000000000000000000 718225623 249979505 387498756 129114706 1000000000000000000 812908319 529978411 431342732 807459387 1000000000000000000 484366709 87604257 303869632 424555492 1000000000000000000 547306508 272436083 56161779 336794628 1000000000000000000 15102933 5259046 13607491 2505830 1000000000000000000 507798895 227007556 238063784 500259848 1000000000000000000 723914929 449758062 567018019 59453830 1000000000000000000 249856183 74926699 104664886 113967625 1000000000000000000 772368203 673050157 447970233 61957395 1000000000000000000 523457765 58484019 97296607 354545913 1000000000000000000 263334659 155957075 190951594 173429952 1000000000000000000 2405825 1872385 1773283 522465 1000000000000000000 103406651 94292753 65482401 70302940 1000000000000000000 461241504 230667368 31012544 232686592 1000000000000000000 929015949 173230528 418336387 768952582 1000000000000000000 147919258 63916915 80836389 55334895 1000000000000000000 395774788 270633388 149914287 11871309 1000000000000000000 181476893 126938246 167329586 120223282 1000000000000000000 746982492 613023069 184421437 116837238 1000000000000000000 879459432 525768609 674708636 686597538 1000000000000000000 893192118 331454224 391285636 444991253 1000000000000000000 267246133 213333791 155747696 257649932 1000000000000000000 995122082 252667044 336042655 217095219 1000000000000000000 874197127 678819587 617482402 403572400 1000000000000000000 928645190 686421573 160993242 159535788 1000000000000000000 890273507 800113805 867511836 351612141 1000000000000000000 505122937 420617177 148928657 446485300 1000000000000000000 724447885 411182602 616616272 94608436 1000000000000000000 466818073 184912795 451720891 117614672 1000000000000000000 968801773 864564285 364577851 305013191 1000000000000000000 709652176 192376848 202742760 107162839 1000000000000000000 505201818 114128371 251607250 364515140 1000000000000000000 344782176 224319982 94565830 282914245 1000000000000000000 867084926 625052963 758963113 346744168 1000000000000000000 386255794 34720465 102365533 256800514 1000000000000000000 97484037 68751428 45662504 15187326 1000000000000000000 857260722 265200113 651936748 574795642 1000000000000000000 486046686 118652464 418767467 188172323 1000000000000000000 658287547 243084541 543205457 583418616 1000000000000000000 100538302 9648508 51880323 10806728 1000000000000000000 530067838 126198129 285498959 324901990 1000000000000000000 258473788 189600826 200516900 156943502 1000000000000000000 790033317 126251980 313181582 9285074 1000000000000000000 403001990 231567423 223106467 91237342 1000000000000000000 448992356 256567695 99160510 371423340 1000000000000000000 838837005 59164109 109004685 723846122 1000000000000000000 126311633 39351353 41284540 63410105 1000000000000000000 655495683 289277869 258773868 480375770 1000000000000000000 99644401 49304502 25038434 140225 1000000000000000000 953118682 370017147 373299036 76404038 1000000000000000000 385838070 73998998 311751458 356342990 1000000000000000000 518369540 168583213 472081659 188785427 1000000000000000000 385384166 148780209 358218674 298462760 1000000000000000000 933071273 785640744 364802968 470212600 1000000000000000000 439478076 8297997 131084325 51719182 1000000000000000000 224109686 193950819 52157452 77772578 1000000000000000000 331835303 133792406 74774267 44308822 1000000000000000000 247602629 169967503 53863280 96527978 1000000000000000000 405313433 25693807 47333554 346071218 1000000000000000000 783881193 333203107 604964681 132324097 1000000000000000000 755206425 354219431 497123391 482754727 1000000000000000000 592454117 259230689 131727364 35206821 1000000000000000000 20907086 113357 13267220 3235322 1000000000000000000 450752695 406208568 204649807 112691891 1000000000000000000 421405902 125740644 421135327 273013992 1000000000000000000 168549437 75964348 50982700 128719307 1000000000000000000 774515223 330036099 307699473 695774799 1000000000000000000 260696469 215079652 156444127 1387629 1000000000000000000 661425390 397800800 548875842 404067059 1000000000000000000 652425826 360510715 241585635 423204848 1000000000000000000 545395945 259668768 428962821 497997823 1000000000000000000 118444751 118194743 83546595 55703593 1000000000000000000 725336974 418366931 156842041 693028123 1000000000000000000 416494368 136701758 65195433 64800428 1000000000000000000 98837148 78858895 72196924 65493427 1000000000000000000 768718900 632924702 376154805 493345948 1000000000000000000 930425962 584661371 866103261 142889040 1000000000000000000 20485886 301570 1629048 846727 1000000000000000000 352545412 112139123 242134878 216074994 1000000000000000000 567786502 248621945 535954744 434246693 1000000000000000000 786628221 675609492 112863957 726531202 1000000000000000000 497215561 417752079 203835651 365786667 1000000000000000000 465685892 177389550 208524038 227677682 1000000000000000000 864750143 706355609 738542745 855747962 1000000000000000000 206823094 103308657 124202283 179893583 1000000000000000000 776810935 762577910 75563444 455293363 1000000000000000000 733053441 326140146 44591632 731501978 1000000000000000000 142809857 33668921 112858772 17913063 1000000000000000000 80922775 16422480 29769745 51168711 1000000000000000000 801835269 778667652 218203351 298478224 1000000000000000000 543765674 147885064 365632907 504247350 1000000000000000000 847561759 620596551 246559209 496791692 1000000000000000000 788718294 216641664 605205149 574694075 1000000000000000000 759002799 172218439 259751302 3596570 1000000000000000000 372103452 213474519 310026888 158557122 1000000000000000000 319929996 302736327 207889495 134354912 1000000000000000000 305016141 242810252 174141079 5201650 1000000000000000000 233052914 213672316 9289686 29137099 1000000000000000000 787428336 778228001 37680430 24108149 1000000000000000000 710034815 115443420 541986834 169840807 1000000000000000000 793970508 333775390 161689398 415536280 1000000000000000000 83707583 1949256 67612118 65595128 1000000000000000000 195330784 115887738 36290257 15111855 1000000000000000000 383253220 342569186 376127668 69591322 1000000000000000000 757053916 22734351 592943105 406859259 1000000000000000000 688623346 418977988 229734741 307094677 1000000000000000000 50185669 46084009 28307522 47333476 1000000000000000000 150920042 136150485 73681347 76170981 1000000000000000000 689549585 58512148 383538722 540323114 1000000000000000000 558182877 55911132 408925812 103475494 1000000000000000000 209638612 120135108 204011624 154772635 1000000000000000000 703136303 615506336 74816432 72876917 1000000000000000000 544451873 39937002 271080982 410221552 1000000000000000000 934671219 10209308 614143701 932818804 1000000000000000000 335355474 101509430 126440896 75626510 1000000000000000000 123600412 50213793 80110725 88646990 1000000000000000000 685562343 586563463 11718959 677618485 1000000000000000000 296949833 205331512 197656930 66781375 1000000000000000000 164308838 76002414 124754875 39148852 1000000000000000000 99641915 63451538 29203698 89622308 1000000000000000000 183354134 22717543 108731094 162103734 1000000000000000000 818514440 763445911 663482303 330025647 1000000000000000000 591884102 434869985 15518530 93178851 1000000000000000000 647916971 78462894 585676446 96395109 1000000000000000000 783081161 620375867 564589285 683626936 1000000000000000000 517411252 257864090 331796992 427134456 1000000000000000000 914540488 323809755 601755952 628670073 1000000000000000000 350555175 218761987 134868172 305855437 1000000000000000000 600669544 121743386 552520225 69394669 1000000000000000000 942044207 923486163 341417487 629375118 1000000000000000000 964141516 778322927 524393096 247358779 1000000000000000000 660587092 642207158 545981390 543130810 1000000000000000000 686645163 258840068 284468291 277251920 1000000000000000000 588336204 186022563 192320748 234286426 1000000000000000000 521185865 23769558 429456075 99203406 1000000000000000000 841415990 404131967 641512403 708325754 1000000000000000000 967234418 724025249 739703534 727229833 1000000000000000000 568645431 293719343 64958830 66275773 1000000000000000000 756677280 722166233 203430939 105234777 1000000000000000000 437030030 10148132 131961095 349644553 1000000000000000000 194942097 139780326 119697333 158887376 1000000000000000000 274300118 163368792 124164101 63634318 1000000000000000000 544531478 93676850 106422069 510027198 1000000000000000000 906304159 832560066 301157701 335380429 1000000000000000000 678716428 407964631 148214627 298654328 1000000000000000000 717577903 603192030 151935735 73078159 1000000000000000000 497458053 447657635 312155620 355362650 1000000000000000000 482243788 433344809 287406232 325958143 1000000000000000000 872177581 751985214 691861473 424496600 1000000000000000000 127022679 68578309 79770468 90797576 1000000000000000000 39871836 25536385 22303030 6819089 1000000000000000000 972773337 637660688 619752992 945402181 1000000000000000000 24091248 2780935 7153120 22523752 1000000000000000000 552421598 191813430 540853838 303099116 1000000000000000000 696739869 13634645 591859308 494563060 1000000000000000000 156812372 75341561 28446185 108475169 1000000000000000000 818560516 553263852 375409018 94999003 1000000000000000000 894494020 62653438 359687674 329848366 1000000000000000000 55472070 19323716 45354896 31696334 1000000000000000000 624553957 37773435 422737135 474217274 1000000000000000000 382626892 370245721 213876906 363714115 1000000000000000000 874587503 231303856 266999729 470702902 1000000000000000000 797648540 80532122 660779002 453286373 1000000000000000000 509699920 115792620 480874235 232765218 1000000000000000000 758426100 728720245 706286657 521623530 1000000000000000000 38346459 25139236 1777878 4815788 1000000000000000000 673482360 123860815 623068263 62027795 1000000000000000000 733849443 468509373 380609720 623800819 1000000000000000000 539310340 285307551 81185754 89664194 1000000000000000000 997535160 219314677 438981427 380155639 1000000000000000000 53658410 6923466 41724602 38373274 1000000000000000000 469880075 271141283 103107712 143200891 1000000000000000000 712508263 554698342 413695224 423143478 1000000000000000000 75768570 16311012 5101720 59672100 1000000000000000000 642429131 566767623 53167650 358093477 1000000000000000000 319857438 41422271 116590677 147976647 1000000000000000000 49063314 12086388 6799494 21413744 1000000000000000000 578889415 6160839 39192283 98685696 1000000000000000000 360566283 180971300 45577358 10477083 1000000000000000000 86754498 35603112 26322659 5960691 1000000000000000000 110375177 103189786 97896066 32620372 1000000000000000000 560777689 263899171 19252997 420933318 1000000000000000000 107979068 37589303 46489617 36892523 1000000000000000000 314639240 302216658 109790252 204900924 1000000000000000000 117791015 24338268 73742889 5790856 1000000000000000000 423198481 147992528 82835087 178213723 1000000000000000000 324775123 11591775 77862985 25821069 1000000000000000000 308208471 245676018 30609729 234354037 1000000000000000000 133225145 96957818 125586059 89399492 1000000000000000000 469772605 15805699 406291377 392532588 1000000000000000000 141267951 114337940 42092704 11286041 1000000000000000000 256954931 243580369 55048200 26649885 1000000000000000000 576597632 68107820 560833431 115846814 1000000000000000000 842722556 732942123 603234978 368853381 1000000000000000000 283527577 205738898 205547308 245764115 1000000000000000000 77371463 60380269 25116123 127923 1000000000000000000 968502083 847243570 430677882 913572447 1000000000000000000 332413395 71466687 52485182 182669419 1000000000000000000 320057345 242976502 44375603 168738967 1000000000000000000 168244548 50445843 158557846 122763072 1000000000000000000 27540504 1412695 14138928 9552634 1000000000000000000 74438979 2219613 28464541 68025895 1000000000000000000 143732464 55563531 24444029 70599482 1000000000000000000 559494727 419672458 117378452 243862722 1000000000000000000 461774457 124709067 67826854 443549374 1000000000000000000 549962003 277809463 23194372 256781768 1000000000000000000 738588312 733638181 182548733 657452883 1000000000000000000 390121171 76450744 297690360 105961542 1000000000000000000 407041235 97813386 5389988 223530004 1000000000000000000 762617313 151738776 395043371 332625208 1000000000000000000 588755886 215269672 545066305 206206301 1000000000000000000 336924849 27408570 139639796 127792375 1000000000000000000 876449125 50721094 649368678 200240576 1000000000000000000 142111177 47227966 69290179 75383156 1000000000000000000 250132177 95466743 131288141 75871456 1000000000000000000 809154752 193299537 570985254 115246680 1000000000000000000 186953216 122556102 44889300 145542863 1000000000000000000 996020980 653126231 820733411 89460557 1000000000000000000 146704915 71926634 20401336 130741509 1000000000000000000 828488291 121790870 613258068 99640247 1000000000000000000 521337791 451180946 515794853 254597421 1000000000000000000 251882632 145466878 79470032 195666845 1000000000000000000 811202793 592394966 444252088 408219588 1000000000000000000 968200025 801799738 61307739 611540921 1000000000000000000 462397236 149725263 195960849 441420477 1000000000000000000 139285009 113397460 8528088 59634920 1000000000000000000 896367686 559789314 423245301 671952003 1000000000000000000 213810145 205301869 35217278 174152965 1000000000000000000 944748740 461810567 599116476 610050808 1000000000000000000 842867984 189468022 16772819 294133114 1000000000000000000 932536371 758959410 50498439 542102867 1000000000000000000 408084787 27776407 97711025 326889935 1000000000000000000 404157687 136541334 343382783 176977204 1000000000000000000 189397451 32776330 57319070 189200977 1000000000000000000 891727138 379556592 419313535 629470591 1000000000000000000 418320776 75550520 37092055 71020175 1000000000000000000 399069204 56408473 95311226 91445492 1000000000000000000 273041042 65626432 853032 253395737 1000000000000000000 764547692 52027059 131975119 758355108 1000000000000000000 414213038 95672632 105159858 79491769 1000000000000000000 522879011 114803985 374841827 2766649 1000000000000000000 203700113 65764907 139092148 97700521 1000000000000000000 572194800 453057102 476627316 410492741 1000000000000000000 163608414 105722108 160697107 136754910 1000000000000000000 861676269 525952052 251232394 666828352 1000000000000000000 766788905 718752081 383393384 606531584 1000000000000000000 223080761 140307180 197286980 35573411 1000000000000000000 91845824 28212323 43837147 9250816 1000000000000000000 687084009 524393593 290338132 364242308 1000000000000000000 452188279 58526079 60473613 125997169 1000000000000000000 976993454 139775282 8743196 477837558 1000000000000000000 562425533 137475154 15177444 251318200 1000000000000000000 128210447 110602628 75677726 99237555 1000000000000000000 470249131 82814099 19806396 208672058 1000000000000000000 624341011 334803199 133057043 231328650 1000000000000000000 184163850 98257952 97225428 94604922 1000000000000000000 489830639 26055987 181036737 67342328 1000000000000000000 49693136 30984312 28921689 11492926 1000000000000000000 986457476 763181220 478287177 575542298 1000000000000000000 541417593 323079755 202347384 72033603 1000000000000000000 367040462 98698625 344288224 92758851 1000000000000000000 402320366 166614217 108071373 245234638 1000000000000000000 634285125 546088333 462213289 406437256 1000000000000000000 132365221 61022613 92125108 22526723 1000000000000000000 86122125 44120224 36380835 9187053 1000000000000000000 613279864 345045191 156180633 296927063 1000000000000000000 360054651 163330870 125484108 287259642 1000000000000000000 972228657 29295213 377055812 245388669 1000000000000000000 904931771 802681041 886949302 208673343 1000000000000000000 675528942 328851110 10758484 538571839 1000000000000000000 933815108 306292121 141124677 559189230 1000000000000000000 535796004 57172055 363915328 347147022 1000000000000000000 980564887 977288355 662865760 202618054 1000000000000000000 859920830 839049687 332331456 737074589 1000000000000000000 546488633 2673902 528785182 346038930 1000000000000000000 690853111 30786913 139306437 125036650 1000000000000000000 226085991 178264194 157596407 10961001 1000000000000000000 225233697 31041291 111811950 81830153 1000000000000000000 188233235 57047032 1076448 75675231 1000000000000000000 791046832 622873801 689964117 681569484 1000000000000000000 847893546 254714378 231385867 57207984 1000000000000000000 77336103 31340028 76322123 48875175 1000000000000000000 925902462 782116935 631082081 593749241 1000000000000000000 774101251 575736921 88775810 8228763 1000000000000000000 692299305 174184152 667984265 433922335 1000000000000000000 369098499 12525833 111345628 297453292 1000000000000000000 788142962 679173445 64756999 192267870 1000000000000000000 834413012 468940031 322388590 603413405 1000000000000000000 103070400 62423381 12198111 6302826 1000000000000000000 441882446 119358315 329059929 32417328 1000000000000000000 111702639 93529911 97329253 69232323 1000000000000000000 183394835 88553519 82316271 105083173 1000000000000000000 390692552 381179626 35125999 292842198 1000000000000000000 334660721 211959387 8722287 120575937 1000000000000000000 319754887 244967201 120673493 278700365 1000000000000000000 433890475 278778370 84754361 325083847 1000000000000000000 552876962 306956883 163526940 493205501 1000000000000000000 829701773 237613815 12423625 732759319 1000000000000000000 347251993 320228078 218303572 209254906 1000000000000000000 199969388 146730226 47929163 128812356 1000000000000000000 764786038 319977884 611984649 65942537 1000000000000000000 159111698 2468278 101041759 19216951 1000000000000000000 566245727 119596630 444422892 78102836 1000000000000000000 731701562 102660572 320750963 208504543 1000000000000000000 189521273 150289315 4547535 98712871 1000000000000000000 573235393 105006171 136624288 548369316 1000000000000000000 473335204 275772587 365288716 66650013 1000000000000000000 122505118 91157845 32289017 39946501 1000000000000000000 930377751 842860128 200773388 734325930 1000000000000000000 167277206 103829096 117273088 11856984 1000000000000000000 813378178 358035822 174782910 257619968 1000000000000000000 449752727 385505871 224399609 157941377 1000000000000000000 950639152 846023444 365204777 865811280 1000000000000000000 736273223 734472383 324250435 400509123 1000000000000000000 77770357 15772614 57356349 4425013 1000000000000000000 791412818 717557612 210870957 246576841 1000000000000000000 814896556 122045154 570589175 51923515 1000000000000000000 3381136 2074814 2653304 347186 1000000000000000000 761776302 334817149 181909511 380899601 1000000000000000000 356453481 309176882 262413792 105569620 1000000000000000000 252443448 8567704 221664636 114657008 1000000000000000000 158746966 121495963 1089490 16727078 1000000000000000000 935904609 312505251 776642110 646434589 1000000000000000000 191431809 93339230 90416880 129751474 1000000000000000000 531363128 295298428 47087007 88534475 1000000000000000000 484582135 356470124 139737894 366655232 1000000000000000000 609037560 336703911 326324715 475830089 1000000000000000000 857927003 803498358 574353001 172594846 1000000000000000000 752166297 308236181 271987716 738563155 1000000000000000000 498074755 29494793 55252332 169170077 1000000000000000000 788916945 359762626 565466709 458522444 1000000000000000000 897028983 845765045 4626859 532020339 1000000000000000000 151316378 121091536 143565692 31889115 1000000000000000000 647920388 74005860 185686712 150722893 1000000000000000000 148565783 102705879 68759394 41864906 1000000000000000000 710208390 548779437 136999859 29770966 1000000000000000000 132537057 68495954 37898041 59058312 1000000000000000000 581559383 294389920 486366024 387313081 1000000000000000000 376689455 316457057 243401751 265167679 1000000000000000000 150572254 67546681 13781988 28837622 1000000000000000000 560299260 464861644 101044710 130223733 1000000000000000000 907211950 733831909 197384660 340758189 1000000000000000000 600354517 528236629 273725690 187771851 1000000000000000000 189454120 66004594 26855252 2689160 1000000000000000000 833962693 4798107 483626154 484434633 1000000000000000000 988079557 114017852 824578524 244362171 1000000000000000000 988354902 256475799 250470532 858653613 1000000000000000000 19450677 2590025 1289960 10770995 1000000000000000000 809784053 226283593 295287643 326622003 1000000000000000000 677292369 510290724 221103300 452065676 1000000000000000000 141017885 30851133 44993584 30519066 1000000000000000000 617582730 330258953 238823241 125695459 1000000000000000000 665824888 145846022 529488469 609660123 1000000000000000000 643322070 494042340 320292364 146502114 1000000000000000000 334729274 218474472 225558410 329162280 1000000000000000000 883574289 664562095 690674103 311999816 1000000000000000000 665053125 144711726 508690978 662159245 1000000000000000000 598123136 597412610 138150340 476928157 1000000000000000000 971458498 700299429 754827774 694748315 1000000000000000000 441698677 268910553 239218107 423354375 1000000000000000000 772364996 250114094 221621478 413704252 1000000000000000000 2343400 522246 1558219 1395795 1000000000000000000 614789115 406905305 351308900 598121953 1000000000000000000 952971647 394029454 93997700 909010607 1000000000000000000 167255276 30482134 21410677 102784865 1000000000000000000 718708041 537647924 4546571 339149928 1000000000000000000 57029390 27821290 41254003 37768178 1000000000000000000 989190202 401293691 762899552 927047595 1000000000000000000 448162835 91344214 130244132 154477837 1000000000000000000 596915896 193731847 429307268 59274106 1000000000000000000 904877187 452730481 195983369 770677755 1000000000000000000 564484714 375133755 253358619 383796198 1000000000000000000 875383462 862600413 437254740 7498378 1000000000000000000 419543946 260291300 109398154 27374799 1000000000000000000 676726804 353664135 505464998 372493333 1000000000000000000 124450053 83389264 50464681 61280606 1000000000000000000 208184011 26512215 202026293 73267632 1000000000000000000 454973957 296324961 105888504 214117531 1000000000000000000 476508488 388883634 38569305 31954971 1000000000000000000 913744830 214412986 394895949 136850162 1000000000000000000 107349340 92239003 65757004 54775183 1000000000000000000 603225515 558641380 392061969 104649474 1000000000000000000 441434315 101956821 158691697 155626423 1000000000000000000 596348952 215223765 356509614 140726068 1000000000000000000 969685482 652670685 49401552 569873278 1000000000000000000 506847605 202284213 38051298 490873680 1000000000000000000 682179545 309778692 212914825 651796573 1000000000000000000 920669728 776094880 320046306 108197766 1000000000000000000 323073590 266152886 62430722 270325155 1000000000000000000 393388165 244385032 289312618 92187609 1000000000000000000 781852879 147927681 71876584 370930629 1000000000000000000 342973646 261272221 259139465 336621751 1000000000000000000 875181571 650158851 579464702 70579853 1000000000000000000 234165864 5021045 185952668 12991036 1000000000000000000 633651844 530406874 331805698 601103151 1000000000000000000 839653022 23553224 42371243 756266245 1000000000000000000 7628411 5393587 3429066 3059948 1000000000000000000 669868095 228140117 152482158 511782411 1000000000000000000 678466024 514593803 135535820 334057439 1000000000000000000 370952256 23365096 137036226 232037354 1000000000000000000 951627040 899062542 669388912 620479732 1000000000000000000 902909518 639412589 353961823 690800204 1000000000000000000 809678936 82800447 701503782 281653108 1000000000000000000 430964270 265598105 14593712 187654347 1000000000000000000 850146149 61193030 212594309 291740166 1000000000000000000 928927311 584474682 922912131 285256684 1000000000000000000 570471046 219722200 534024545 454085185 1000000000000000000 66880692 25437102 51803655 66661284 1000000000000000000 659548283 53057934 568047563 629197029 1000000000000000000 379545927 122093867 233731346 363532665 1000000000000000000 524158792 489125015 350399663 40867704 1000000000000000000 772574794 20323317 768232901 397261181 1000000000000000000 748748273 204204740 475101880 523346350 1000000000000000000 891575141 402918733 81277934 678279610 1000000000000000000 532020843 33896478 23301542 480866036 1000000000000000000 175928345 123207908 76661252 82882567 1000000000000000000 826061225 527682723 145401764 452271552 1000000000000000000 238047950 202275611 180974822 109388681 1000000000000000000 245581993 197527460 142434065 23990025 1000000000000000000 676937054 658831158 81972023 289078711 1000000000000000000 397078384 242092024 9276862 309160419 1000000000000000000 140285442 43339802 14796616 46216046 1000000000000000000 84420129 68765905 57130537 61340340 1000000000000000000 308951467 179112855 129666125 175840836 1000000000000000000 126790397 47759291 80687914 48038381 1000000000000000000 376094429 156510267 138617584 94882929 1000000000000000000 593855939 98926056 428970193 76792236 1000000000000000000 689368045 438861657 311683145 106626650 1000000000000000000 742935210 712422375 582343564 735482295 1000000000000000000 806204965 281452557 800376319 212997303 1000000000000000000 445528753 230465717 310498910 25201499 1000000000000000000 896786370 733405373 53206235 809604437 1000000000000000000 330739252 200423859 5653535 254092925 1000000000000000000 413548056 362740228 28882275 117695466 1000000000000000000 39556581 5740942 16601800 2317717 1000000000000000000 439318562 257538532 258670217 362463641 1000000000000000000 218575589 160875664 21913328 178918427 1000000000000000000 265655301 5475399 209750614 144721731 1000000000000000000 44549607 30203948 12353720 42162985 1000000000000000000 509103213 297435513 473331737 157198472 1000000000000000000 917372466 524489538 904738045 3641442 1000000000000000000 362491211 5944478 246978643 264890481 1000000000000000000 293932904 110465976 107697960 218495681 1000000000000000000 77381862 13873296 46564851 38349073 1000000000000000000 722069940 650829316 247675190 608648716 1000000000000000000 207144782 154169048 11866585 8049921 1000000000000000000 984743024 971058347 28215811 6557902 1000000000000000000 14582911 3690296 771397 3138771 1000000000000000000 850158123 133643189 637259765 290387665 1000000000000000000 203132018 72615075 167831421 173616145 1000000000000000000 716699720 10911241 43425720 466865865 1000000000000000000 86216321 77949001 83248428 21235585 1000000000000000000 549129583 448113911 85414015 193347376 1000000000000000000 328609418 147192131 279306878 9515453 1000000000000000000 750721642 59522611 326480063 49833082 1000000000000000000 225000089 29976597 219294315 106716519 1000000000000000000 282733605 5198167 95351112 15015362 1000000000000000000 864625249 682425469 60626766 360100836 1000000000000000000 140420058 40259724 108443760 6296317 1000000000000000000 23457137 20666744 18091824 466687 1000000000000000000 102329406 89506396 13542416 76855733 1000000000000000000 407933168 315185328 4608033 7711199 1000000000000000000 879593855 493738824 171898449 774188052 1000000000000000000 693220575 379060704 118618232 91841372 1000000000000000000 979397750 549228246 438336974 165434443 1000000000000000000 475749216 137065704 437699761 212386105 1000000000000000000 737951338 201521907 359103520 55196556 1000000000000000000 241853380 55311294 27196410 3749382 1000000000000000000 597725346 120576685 197494599 107560216 1000000000000000000 334547435 81883475 187049479 175325011 1000000000000000000 574927719 395194240 236114778 281778030 1000000000000000000 912709730 633898875 95129506 840959882 1000000000000000000 586898856 552502341 559007141 173424804 1000000000000000000 956793749 436341930 474208069 180347467 1000000000000000000 115780564 113064658 61317697 3704218 1000000000000000000 470897626 140332382 121495953 210674268 1000000000000000000 463926659 210555279 380912099 57597630 1000000000000000000 190887071 67924794 63778185 116671560 1000000000000000000 273732051 144885026 123961481 162069083 1000000000000000000 946596471 259413999 390582009 805030113 1000000000000000000 421353612 340994670 272706381 279460229 1000000000000000000 641545892 383159726 68395475 430063619 1000000000000000000 856241330 747391273 782874834 69092037 1000000000000000000 836916669 602641052 121422580 178220959 1000000000000000000 235270969 168410606 84056600 106224073 1000000000000000000 125253159 64495775 89846757 104751950 1000000000000000000 501552266 6693250 124562050 119988677 1000000000000000000 884459657 99596299 388505464 365541130 1000000000000000000 801297841 480489508 775091669 246753204 1000000000000000000 409524486 195398076 26565022 303773973 1000000000000000000 111700014 27526592 70580912 8917844 1000000000000000000 216945967 50259890 60897537 139955133 1000000000000000000 514816638 158819078 435081423 268490367 1000000000000000000 937300033 868441680 907055211 844059474 1000000000000000000 78974078 21571400 3258776 28881505 1000000000000000000 329212163 212004668 212067331 120953380 1000000000000000000 201032211 82150188 24661039 52062597 1000000000000000000 307226864 234960697 292575067 53664347 1000000000000000000 503002827 472580797 189118225 468092455 1000000000000000000 390803569 336018123 154773920 94847962 1000000000000000000 483466925 255145410 167770271 386077438 1000000000000000000 327521576 66525888 265753685 227114438 1000000000000000000 89376421 85726958 53979757 25421303 1000000000000000000 636328811 287450020 21466692 156123301 1000000000000000000 711408827 599994361 160530238 189897494 1000000000000000000 856724273 493227015 390570357 587204684 1000000000000000000 832268468 138986631 135478323 232489259 1000000000000000000 677294115 338335487 550049662 262915077 1000000000000000000 574683420 78255353 509782831 342332252 1000000000000000000 862541775 637095977 33976267 651711398 1000000000000000000 27352428 16823795 19436242 26715345 1000000000000000000 591535392 188576098 31975176 174201488 1000000000000000000 397358640 41007461 265645895 160424780 1000000000000000000 392877006 358846853 224950801 78272669 1000000000000000000 849351956 516808537 796643748 598019057 1000000000000000000 135870756 40252315 77185058 109077504 1000000000000000000 96267303 42259063 25491318 19949149 1000000000000000000 364011609 32432917 56464950 180623720 1000000000000000000 234610477 88557242 162773214 192770651 1000000000000000000 605330623 25025714 177872083 49647438 1000000000000000000 493972599 215511759 326264519 412526658 1000000000000000000 896354321 806727548 523804575 596430472 1000000000000000000 242719472 85815639 41732363 38218195 1000000000000000000 250725138 99859349 46388627 63706827 1000000000000000000 538645992 163902042 491077128 241585175 1000000000000000000 578193302 293740748 508395587 127492867 1000000000000000000 482773057 160870595 413102349 132087796 1000000000000000000 532855122 279017279 12339148 71643080 1000000000000000000 167406093 79754543 27263187 39590290 1000000000000000000 673702865 312309541 166609046 490281801 1000000000000000000 561468896 396775248 391224399 352279260 1000000000000000000 811467520 578031254 27410804 230533449 1000000000000000000 172341912 59831448 33603144 120533456 1000000000000000000 788365036 121295035 692391677 184478987 1000000000000000000 72373910 50832688 7231098 38074793 1000000000000000000 970873711 320184805 710476192 548216091 1000000000000000000 426928539 36661646 216627978 201550855 1000000000000000000 335726559 240543982 95409889 74280039 1000000000000000000 646531919 567440645 205951519 237500799 1000000000000000000 582033654 337066074 217448561 525754466 1000000000000000000 831834642 758258499 301007507 368505394 1000000000000000000 844882608 306996338 396963977 797335370 1000000000000000000 914805888 702757258 725944070 141740364 1000000000000000000 107906267 56847669 106073143 66929254 1000000000000000000 501776926 202966994 143798066 225903720 1000000000000000000 271671308 269632527 123367579 86943696 1000000000000000000 516483339 247648368 18292691 2121785 1000000000000000000 22628178 12416317 10114367 4193711 1000000000000000000 207126648 185131589 17169700 129028935 1000000000000000000 573402442 412612991 38573957 85520647 1000000000000000000 794302184 587280871 722361889 449651047 1000000000000000000 125372377 40697804 95441888 123043779 1000000000000000000 861615133 101911530 681075464 849791531 1000000000000000000 67932168 30828463 27951116 44793966 1000000000000000000 286217417 62535566 185934285 152991424 1000000000000000000 139239700 47418072 123715211 25233803 1000000000000000000 685688152 590698925 366474120 338799869 1000000000000000000 147796536 13484346 79940579 109102351 1000000000000000000 540669790 225815343 106095984 53121762 1000000000000000000 353625226 333487154 170046101 129891033 1000000000000000000 387503763 123827120 242890046 101710398 1000000000000000000 815006596 537777418 23179690 445845915 1000000000000000000 788051748 701080680 665352511 113987415 1000000000000000000 75302991 44244720 12472140 47116611 1000000000000000000 959055291 493766710 135795435 390918708 1000000000000000000 999226482 159105237 681224876 468999472 1000000000000000000 887893704 546585867 587679315 774846307 1000000000000000000 670655255 570578542 138243159 176360775 1000000000000000000 385671082 334599407 223560924 212132966 1000000000000000000 656482827 86204704 103380957 593271500 1000000000000000000 864257774 516904659 129980594 549745996 1000000000000000000 392411943 35492449 371055023 137394881 1000000000000000000 858086621 331386327 615916439 566101392 1000000000000000000 393240106 164453698 191682356 188070626 1000000000000000000 620855889 393907751 389107516 444281444 1000000000000000000 66383084 50552404 64339489 49332882 1000000000000000000 682776014 664854373 433588613 295954749 1000000000000000000 343074438 54683024 201643436 244542478 1000000000000000000 241195342 112553985 240657119 174865825 1000000000000000000 723244502 155535563 211931058 404380253 1000000000000000000 851151538 764865217 565379448 3414822 1000000000000000000 484205451 125870206 427549314 132385801 1000000000000000000 833069140 77694384 268018998 11650836 1000000000000000000 62495649 14012269 43642076 32990217 1000000000000000000 812859911 587462537 392012627 385053401 1000000000000000000 825247342 375988022 625947194 117473743 1000000000000000000 717680856 568114681 268567998 604153036 1000000000000000000 299356941 106677244 115390810 260005520 1000000000000000000 204615961 86949718 64603617 116156269 1000000000000000000 360555547 84090008 215110127 202285320 1000000000000000000 140608148 75164693 105777316 62067855 1000000000000000000 6084327 4987163 2309238 4318973 1000000000000000000 21823930 21021146 21379385 12653188 1000000000000000000 150107644 43432742 90348244 5993021 1000000000000000000 174285068 111091960 119525676 70697855 1000000000000000000 380600974 380154609 238394998 320522350 1000000000000000000 155801582 20036321 52881939 128738254 1000000000000000000 377304579 86312384 114948342 281203367 1000000000000000000 697009421 187902891 370403803 593111219 1000000000000000000 773512626 498034132 267310044 566058950 1000000000000000000 562790531 147121482 941439 357531994 1000000000000000000 107863990 89525612 104648004 107783167 1000000000000000000 778586342 378571404 20773125 13818447 1000000000000000000 724835295 259267485 605330142 126429365 1000000000000000000 260029126 87036734 33596877 245947324 1000000000000000000 955913350 369362606 398317813 858224492 1000000000000000000 576135813 157639835 348222711 342052977 1000000000000000000 508628945 111417143 302961594 453057301 1000000000000000000 906464565 31642355 645309828 721363263 1000000000000000000 918584357 536981271 734671728 367673586 1000000000000000000 300371491 143713940 289357237 145175939 1000000000000000000 845229228 195730801 70684277 641028650 1000000000000000000 630789714 234691988 145947531 446839917 1000000000000000000 125234510 40082883 29241278 110644282 1000000000000000000 987010771 156669740 757543205 41500294 1000000000000000000 471994232 205616087 240114224 340311997 1000000000000000000 494446148 276532621 463010287 178876988 1000000000000000000 323233040 52356106 46289673 96568276 1000000000000000000 458001639 131634066 231033114 145757254 1000000000000000000 933678284 587726613 488386883 496585108 1000000000000000000 436395455 12905837 138400405 190323624 1000000000000000000 15474973 6055742 2015700 2237307 1000000000000000000 944961784 300025175 108356453 760831960 1000000000000000000 809356611 190722223 75508103 266862611 1000000000000000000 140396695 57537105 59392041 89312069 1000000000000000000 222541443 13770182 210170627 52342159 1000000000000000000 51302846 46446204 4146634 13309713 1000000000000000000 354992381 286919106 239523505 185250319 1000000000000000000 994790842 273612168 362275833 729481169 1000000000000000000 216830940 2251129 25244018 7202333 1000000000000000000 655388097 158218100 506936836 547829805 1000000000000000000 351291045 152144969 136187762 181936551 1000000000000000000 948037890 571581963 435719040 619898170 1000000000000000000 378044802 80727407 376785101 97782230 1000000000000000000 338193844 311159503 83714620 185348182 1000000000000000000 541116890 431317386 453876823 30897820 1000000000000000000 489463804 298679306 91812345 410231164 1000000000000000000 926349663 106165604 539926555 809622012 1000000000000000000 365512359 247335210 80018075 43152863 1000000000000000000 407688466 354932427 340610238 326744778 1000000000000000000 55171008 11664633 33418387 36836430 1000000000000000000 380429516 152235687 19172970 49103180 1000000000000000000 215462642 100303248 56177788 162701722 1000000000000000000 592663225 95350080 112042444 105643527 1000000000000000000 960094736 506844678 850591527 636026890 1000000000000000000 354450456 125319748 91699364 77740077 1000000000000000000 856558056 611719641 58529192 793848328 1000000000000000000 916198102 658986127 371180381 887096501 1000000000000000000 92022483 67176625 65313040 51087884 1000000000000000000 556453567 226499182 540428140 291060390 1000000000000000000 307115341 280576214 298118262 148664596 1000000000000000000 701801750 109873764 255335993 523129017 1000000000000000000 753762128 71419988 181684066 734928160 1000000000000000000 592002258 388490794 45908900 589523662 1000000000000000000 331712414 258449120 101105107 47990710 1000000000000000000 187128606 49054460 26080908 72656010 1000000000000000000 736160303 23592121 645982161 485602592 1000000000000000000 575114438 292465861 546378503 351865530 1000000000000000000 452757787 120889122 99836659 418071665 1000000000000000000 22745164 11328529 16191292 16556675 1000000000000000000 213935918 44356896 212163054 111688574 1000000000000000000 357152576 278800360 61828646 76399830 1000000000000000000 715796869 470566403 567845978 275788611 1000000000000000000 349298698 176732384 290054727 240801856 1000000000000000000 830531649 142152815 188754792 830292169 1000000000000000000 890668773 480012070 86704097 700332353 1000000000000000000 143045041 132215991 91083275 139462890 1000000000000000000 585295675 564398277 580903377 563744959 1000000000000000000 60223630 40701939 37033386 55616832 1000000000000000000 795192946 743958158 615262712 787161547 1000000000000000000 259198412 106936513 185198254 163234978 1000000000000000000 484938565 262681196 392673026 73215598 1000000000000000000 751821704 602758247 367054588 385778625 1000000000000000000 103420996 48179221 62623826 92376916 1000000000000000000 88651897 22105997 43779897 51026545 1000000000000000000 965394058 360958076 842581047 385848011 1000000000000000000 945380529 174399135 562755180 128331366 1000000000000000000 585865268 188296749 263696214 520104920 1000000000000000000 947651796 270714330 113659989 589329661 1000000000000000000 316672441 249069763 185609707 52812768 1000000000000000000 320062242 115421607 107103014 301186152 1000000000000000000 183482507 4020354 21154850 122034078 1000000000000000000 787705564 578458514 4276008 639424385 1000000000000000000 127207349 98060239 14717330 40982081 1000000000000000000 188105780 124896438 42233739 50445722 1000000000000000000 558371702 133840036 429619810 82079929 1000000000000000000 56582886 11559376 2031535 13752821 1000000000000000000 433205614 49624997 243436407 347299489 1000000000000000000 84699552 78234022 16765204 16898742 1000000000000000000 519707885 439592451 263896382 136655925 1000000000000000000 925822729 534497912 250007138 93957027 1000000000000000000 440778545 30403275 328148495 222624897 1000000000000000000 982951943 230001693 364052588 547426844 1000000000000000000 182731903 31362603 79543372 148922139 1000000000000000000 60039855 58154343 22566027 50498817 1000000000000000000 627504342 122992271 373754464 196924140 1000000000000000000 334118028 119423535 192654762 284219891 1000000000000000000 861124541 404928846 73247217 45698403 1000000000000000000 425067114 160678246 56100349 418081814 1000000000000000000 393833109 307200118 289763351 269661684 1000000000000000000 958238304 208474791 742568743 488769432 1000000000000000000 720892149 607235719 626719397 73528101 1000000000000000000 880835504 90057880 78143586 275637193 1000000000000000000 729302580 280105345 454410287 576133194 1000000000000000000 591839162 448212978 84920479 409876713 1000000000000000000 990312751 492071035 898581328 173639572 1000000000000000000 602854597 334388787 187219684 233218323 1000000000000000000 989232190 16248952 526806014 883668696 1000000000000000000 528140330 340500644 134359910 124452916 1000000000000000000 62637883 462322 27795209 41685257 1000000000000000000 791088080 201221094 41700606 719863541 1000000000000000000 143216226 37199577 38303440 106335533 1000000000000000000 383211179 25982226 117772428 162800690 1000000000000000000 882393755 823022319 484930497 156160049 1000000000000000000 6532339 4301601 1341665 267311 1000000000000000000 803879782 206350264 773037279 915735 1000000000000000000 489994246 56586281 380982867 187441404 1000000000000000000 375851827 75870330 255023121 61190913 1000000000000000000 927069017 87757195 191057071 778833485 1000000000000000000 217349083 129021927 150918928 123733162 1000000000000000000 679474682 653803935 107964761 66253934 1000000000000000000 722965086 241716480 286653699 59633492 1000000000000000000 743762717 670568136 459587342 253409156 1000000000000000000 238270624 142103096 5238914 58427966 1000000000000000000 326798499 213692147 120000090 163885167 1000000000000000000 701294586 630319198 77943143 176555423 1000000000000000000 727545009 74682823 233760620 335329482 1000000000000000000 292454853 46692482 107415591 236445059 1000000000000000000 729962390 208524393 547117366 465981572 1000000000000000000 572187042 454838942 466574799 418696600 1000000000000000000 210394743 164040798 73449573 197679385 1000000000000000000 645154818 395109054 83955333 69400087 1000000000000000000 309616708 152999644 240016941 69248020 1000000000000000000 97764399 45175780 88150383 33095648 1000000000000000000 930150628 669056804 190522401 873189372 1000000000000000000 951936640 115016365 204970833 797400515 1000000000000000000 993639039 527119266 385153459 685928818 1000000000000000000 696048432 371558198 182946481 107916341 1000000000000000000 136816427 64408497 51798170 601007 1000000000000000000 839543806 199398640 802709035 734375780 1000000000000000000 240406389 25918249 181422021 21844422 1000000000000000000 109141879 88345605 40889072 14177239 1000000000000000000 508879391 448134287 371538853 267764388 1000000000000000000 593731428 556421564 156589786 204577177 1000000000000000000 899841638 812984679 773001456 240254041 1000000000000000000 133942078 43355800 26763146 112589601 1000000000000000000 27547282 15128633 15818443 25708855 1000000000000000000 456832185 404591635 223489602 236394655 1000000000000000000 303093230 282086209 124454278 158927336 1000000000000000000 494498012 457364102 135550606 88418417 1000000000000000000 893964201 107458086 548194492 13603600 1000000000000000000 144210337 87455649 35114554 75841216 1000000000000000000 550362174 395973646 162833788 163283071 1000000000000000000 722325502 512022491 197821784 566434278 1000000000000000000 532819855 493680047 243105073 59468441 1000000000000000000 786330835 250396757 104702930 286561233 1000000000000000000 57728497 34977376 15303530 3581684 1000000000000000000 346336233 111010839 202491784 290534332 1000000000000000000 830481561 775979925 154111744 344304783 1000000000000000000 304833943 233165723 214901182 84775294 1000000000000000000 811366409 228067299 710806938 109559180 1000000000000000000 862230764 208264333 335040050 223812967 1000000000000000000 254599005 243865616 60619743 188905134 1000000000000000000 528518394 400585827 59574621 45715402 1000000000000000000 519318492 287715484 342555324 450292124 1000000000000000000 319849414 117826783 229145143 220149302 1000000000000000000 870364819 612910443 415694004 867434352 1000000000000000000 784527655 625294711 145217779 209589656 1000000000000000000 643100436 342628304 617840719 416312185 1000000000000000000 735432104 119332969 318375325 687748769 1000000000000000000 355048014 305777446 167540415 335785098 1000000000000000000 405066572 144080646 378559026 8307375 1000000000000000000 859455671 716904519 352601218 59070670 1000000000000000000 353734294 50672012 38994309 184017924 1000000000000000000 399941843 399674906 366880667 9797387 1000000000000000000 299255715 288501581 209176642 275485126 1000000000000000000 937300784 674027945 722417402 232321374 1000000000000000000 82891514 25372657 30569091 69443248 1000000000000000000 10565185 2684033 9327527 3354324 1000000000000000000 512714594 314589773 442925289 509778964 1000000000000000000 580181075 331063903 359026533 358995266 1000000000000000000 357399855 93132242 340918589 165110263 1000000000000000000 369900197 303512675 3930920 172728602 1000000000000000000 75051386 2969925 34561590 22359350 1000000000000000000 419950457 80152884 387733712 277060357 1000000000000000000 620860709 464244825 201243848 220348604 1000000000000000000 100838827 42920594 61075938 47964289 1000000000000000000 282097179 274448895 96827682 105057670 1000000000000000000 944960637 415782236 571949112 487842390 1000000000000000000 293961167 18555067 255522253 74721183 1000000000000000000 217595102 161028050 95949227 3879119 1000000000000000000 854279324 462921898 224453376 349202943 1000000000000000000 356705820 20305172 114650710 47950544 1000000000000000000 107605634 107182445 30565777 94867064 1000000000000000000 240180697 190191816 140629246 124195719 1000000000000000000 181899645 159729104 173886924 164646518 1000000000000000000 874465434 628196166 792381926 663363254 1000000000000000000 136400554 69870531 45439125 39527508 1000000000000000000 555078002 448368041 8695087 215360145 1000000000000000000 247356430 89970357 41797364 130260263 1000000000000000000 339815542 136579971 287500859 162553743 1000000000000000000 104063721 93883739 79411891 102233521 1000000000000000000 170874681 27863263 47870637 32870890 1000000000000000000 682896264 25656391 549184583 96397911 1000000000000000000 34694704 23942193 3739601 24179464 1000000000000000000 837904354 801947283 828802385 532362130 1000000000000000000 401554931 111540762 207477596 324359178 1000000000000000000 618929751 187827699 280722531 509985509 1000000000000000000 289253787 215735943 187421382 170757209 1000000000000000000 340522061 72528549 121300290 176597453 1000000000000000000 31394819 2219452 20294291 886180 1000000000000000000 40992222 36375406 12638131 29301023 1000000000000000000 499051535 378091740 126985487 265102085 1000000000000000000 650203505 495668915 60334302 261706127 1000000000000000000 440217200 239721709 28088773 184495732 1000000000000000000 192516021 125319032 142795556 48306472 1000000000000000000 638768805 183426763 425313809 206879276 1000000000000000000 568060281 254463113 168976469 97149258 1000000000000000000 175002484 152052265 69835670 122747426 1000000000000000000 525967400 460042112 348709431 82160886 1000000000000000000 497859968 327148043 379590898 412393644 1000000000000000000 362863093 148512928 152320864 144851493 1000000000000000000 87715678 38790588 55492720 20576198 1000000000000000000 550926652 479717164 297164374 531517291 1000000000000000000 473246714 389201100 313680449 268313523 1000000000000000000 517604311 105242176 268637088 47371295 1000000000000000000 975765657 525320636 469344557 858318177 1000000000000000000 433975541 106496003 279158233 269274151 1000000000000000000 97325792 57542241 89105497 80879297 1000000000000000000 278769654 239387411 231795700 61100110 1000000000000000000 388812063 65183422 259997161 5186189 1000000000000000000 278708530 150925833 105867918 258787832 1000000000000000000 643300608 452929902 413751398 403443146 1000000000000000000 343110223 38976757 34629230 122729134 1000000000000000000 152254486 48979447 141767160 26955425 1000000000000000000 520469722 93040715 41933040 407202404 1000000000000000000 379184181 232911369 360861172 143202221 1000000000000000000 985272598 513891154 408990555 974097441 1000000000000000000 899295588 533525413 591365285 630031538 1000000000000000000 796292903 532219857 328914220 750337731 1000000000000000000 885749216 270321589 804428890 210139969 1000000000000000000 246894098 2555306 19970950 128944699 1000000000000000000 418003836 201750242 65417049 55013927 1000000000000000000 711045838 571273453 210547215 319698011 1000000000000000000 956676406 47269406 752503442 765901356 1000000000000000000 14639085 13938123 14166704 8573640 1000000000000000000 122682912 52871614 38487074 113827942 1000000000000000000 746860126 652590144 61471527 372893489 1000000000000000000 134960343 112890908 66210269 86184781 1000000000000000000 712684798 180431876 268869624 365990931 1000000000000000000 503553186 422822953 352811967 429055182 1000000000000000000 849400510 674269251 609443962 89882014 1000000000000000000 718117565 396810127 650525064 218862326 1000000000000000000 151294683 104218743 134632350 106720228 1000000000000000000 3134545 3034310 637030 1880149 1000000000000000000 823800186 403224306 629285539 638948683 1000000000000000000 313852982 83961388 167619297 268234841 1000000000000000000 525201468 32089110 16643086 76595769 1000000000000000000 335581038 291894681 141364074 224842568 1000000000000000000 370485324 12224138 234970437 53963031 1000000000000000000 382264549 20824749 177846484 247294494 1000000000000000000 81342503 64746677 47235444 61974986 1000000000000000000 142894285 95147047 71431443 45819889 1000000000000000000 209710787 69287739 39725937 21314407 1000000000000000000 595652761 464988605 8568958 427407417 1000000000000000000 866975722 726697036 778189770 558136542 1000000000000000000 899140734 276667495 750306150 260342495 1000000000000000000 777809927 62912941 688284735 300211166 1000000000000000000 263016258 222002523 117562452 68829738 1000000000000000000 849411198 482007931 545189453 8858958 1000000000000000000 344793645 63109135 159056997 244122260 1000000000000000000 544970478 533064939 485761554 311821727 1000000000000000000 129383961 43204110 56745419 55352809 1000000000000000000 391764512 371223558 149160031 88763358 1000000000000000000 4288470 2352689 500202 3051430 1000000000000000000 913219245 481761255 2682319 498477255 1000000000000000000 922994549 872222237 915992927 772264711 1000000000000000000 196321675 155999792 193519320 47849023 1000000000000000000 148971079 115563279 82738277 42079937 1000000000000000000 973556464 169144483 319341430 890570522 1000000000000000000 898247928 740242520 465579307 168866925 1000000000000000000 369258300 119540699 67314983 305213517 1000000000000000000 896990413 687076276 624196290 266686693 1000000000000000000 644327650 205800539 443087979 339112219 1000000000000000000 540816803 307279502 120791227 58998973 1000000000000000000 568180442 65891599 543611764 6209047 1000000000000000000 778753431 41359390 634033656 80774497 1000000000000000000 739241573 348957770 601784296 133977596 1000000000000000000 239231393 130457291 229206109 134143427 1000000000000000000 999625862 306450075 550054995 695038294 1000000000000000000 333355783 303987098 91588595 197743202 1000000000000000000 279656145 168582461 1899498 193490310 1000000000000000000 948727769 793250453 359779678 643411504 1000000000000000000 64046064 40148803 17884746 55900117 1000000000000000000 670686787 463767040 238717650 72220815 1000000000000000000 519690988 404882353 496879757 499156335 1000000000000000000 473729693 435594620 190336550 332692677 1000000000000000000 750729418 601100205 9113146 537992758 1000000000000000000 25857872 22849707 22577925 19357103 1000000000000000000 419050612 288194113 129141402 382950437 1000000000000000000 688019711 184095969 647099691 72177384 1000000000000000000 215565304 88216348 137371054 136876243 1000000000000000000 427106299 23598082 394001758 396593634 1000000000000000000 486559982 117159519 257402323 142230441 1000000000000000000 775957757 21341853 492177445 173627390 1000000000000000000 540686214 450538457 51950412 436608627 1000000000000000000 503188680 29454509 332987531 67239565 1000000000000000000 915114984 467589962 476975857 297014208 1000000000000000000 419040411 349199947 202046405 211331125 1000000000000000000 367539467 51730992 138388395 188928819 1000000000000000000 925165897 278534584 36771906 606915986 1000000000000000000 724426879 149568151 648094356 226466088 1000000000000000000 689214226 142475183 302108916 471476002 1000000000000000000 478460680 9127324 25280605 239882299 1000000000000000000 970053713 690587537 212700188 598111980 1000000000000000000 376528841 354264891 59007603 301714132 1000000000000000000 905153835 207126083 279544787 62077274 1000000000000000000 338954089 105176943 156216654 282924109 1000000000000000000 768557112 65460472 28125599 266721589 1000000000000000000 965661615 263186407 655943454 321708792 1000000000000000000 638062400 254904404 493327187 612946558 1000000000000000000 449803037 109273149 288246454 41097524 1000000000000000000 679552359 389973033 271904859 37625658 1000000000000000000 489957976 301822639 451003553 81393532 1000000000000000000 230241188 38370482 73473353 217750057 1000000000000000000 464939346 393948883 137795189 336435303 1000000000000000000 94883104 63360430 22537821 49192492 1000000000000000000 219489777 57078444 62615108 150873579 1000000000000000000 958822119 460525522 484560879 223085398 1000000000000000000 688907988 601491137 65101200 53045158 1000000000000000000 818987186 676490121 385882377 130759319 1000000000000000000 184766078 172248032 90136741 182936269 1000000000000000000 155037725 145722357 150781713 87133282 1000000000000000000 661176777 118774762 566159793 595418442 1000000000000000000 389556899 105126422 167275354 134649535 1000000000000000000 869040567 368119634 11076627 568279028 1000000000000000000 440310561 221660780 192610255 57527975 1000000000000000000 376991082 149017033 184691781 73575930 1000000000000000000 801655459 500608878 404640052 454084245 1000000000000000000 566627036 120684069 500604883 83399521 1000000000000000000 63979003 42320846 12313025 51015036 1000000000000000000 550695920 414386282 185683922 550354699 1000000000000000000 83044357 78932049 25180720 29814673 1000000000000000000 522216660 483815301 75264443 309526668 1000000000000000000 588038693 371880406 281306576 296173176 1000000000000000000 376931489 132907488 239207900 352211619 1000000000000000000 966100857 145175171 218829289 756010377 1000000000000000000 789075680 549957839 129575467 338110404 1000000000000000000 250078219 104072887 117676243 171633580 1000000000000000000 757738230 362777029 322477453 119469154 1000000000000000000 206025681 126478180 121874429 30101109 1000000000000000000 140706053 88755885 37847352 44079312 1000000000000000000 655606331 491960393 131498963 248457974 1000000000000000000 506619194 266704500 489960936 2303488 1000000000000000000 145987174 31221739 62520940 74280360 1000000000000000000 417250603 231999416 302375265 344222326 1000000000000000000 824083211 510052975 822782643 262101331 1000000000000000000 900868491 533435870 464992128 130034629 1000000000000000000 735309703 144603269 46686816 67914361 1000000000000000000 353050655 186605984 345704672 150881877 1000000000000000000 865259969 431685864 608259410 666485470 1000000000000000000 843467244 327025420 237736803 101084394 1000000000000000000 579481107 370980857 25440179 182258631 1000000000000000000 312082657 285291297 107785096 198652317 1000000000000000000 447108441 339234000 212879325 163483008 1000000000000000000 688606416 262850258 540023270 168604020 1000000000000000000 574224570 27965788 135395027 310329540 1000000000000000000 824790090 357580172 299635212 92369437 1000000000000000000 409025973 139285241 49793882 172397799 1000000000000000000 644708916 231769669 432563637 404187213 1000000000000000000 329518624 103532855 202681598 291309182 1000000000000000000 557957877 354596273 347290127 447456170 1000000000000000000 491120676 119260360 267997236 374045500 1000000000000000000 153669998 123647648 86434325 5847583 1000000000000000000 831319912 679982557 636446842 675237883 1000000000000000000 115280914 24612175 17556381 2556491 1000000000000000000 892776229 168194683 376533034 443234098 1000000000000000000 502302633 267074383 125097867 120737244 1000000000000000000 698286123 452337074 89551558 313962531 1000000000000000000 288823245 157917211 42404389 61747333 1000000000000000000 530439034 139786768 72595299 423606123 1000000000000000000 423377938 134023554 382876077 83513083 1000000000000000000 61215593 53304004 53282394 51196320 1000000000000000000 250320087 41570311 196769484 229210353 1000000000000000000 662590508 519730420 541759863 65554469 1000000000000000000 362509466 175290160 283102589 197154582 1000000000000000000 749947146 9846856 511451913 545973551 1000000000000000000 873127672 578400757 597279965 320287085 1000000000000000000 149170634 37214887 90031644 142715763 1000000000000000000 320319780 190310379 55097766 216237210 1000000000000000000 204697962 19287947 203261546 191594339 1000000000000000000 628552197 325721020 212361226 423251339 1000000000000000000 669823253 656080633 538961290 82546307 1000000000000000000 622715322 436245402 488245363 582143642 1000000000000000000 50352709 32970801 22239763 49791861 1000000000000000000 326354000 77031014 34506865 308845280 1000000000000000000 647089082 462657393 510430409 503692424 1000000000000000000 531887992 8906727 38869720 491727403 1000000000000000000 606060780 482581112 238125389 277816480 1000000000000000000 196665290 114619116 46923466 103769251 1000000000000000000 44547261 14850508 35315475 19556629 1000000000000000000 554385476 110743032 385094182 539300183 1000000000000000000 653668772 230788018 633466813 528353637 1000000000000000000 764912773 553666673 365377773 470853271 1000000000000000000 738660397 56133926 661862968 409400472 1000000000000000000 397505680 343157690 20403004 133004110 1000000000000000000 33790339 25951397 5165010 4009290 1000000000000000000 747276352 45201264 111443744 273843966 1000000000000000000 437897978 98859301 216612433 406394853 1000000000000000000 789887022 443418265 365054810 289009092 1000000000000000000 235266858 191198314 35243694 7918477 1000000000000000000 264950889 47905795 209917052 220466438 1000000000000000000 827723613 55992080 89910078 535740160 1000000000000000000 425259323 122020684 281017851 195971908 1000000000000000000 769365859 353207708 144827040 409371975 1000000000000000000 388355446 171191071 148596763 149806685 1000000000000000000 311485629 116354461 51452241 23816695 1000000000000000000 880606636 2514857 123480464 569566305 1000000000000000000 238155593 61941567 132832115 48225025 1000000000000000000 414458355 269678645 409656962 165597471 1000000000000000000 710025070 91764569 502664205 361881399 1000000000000000000 653877976 363664683 496216407 265366276 1000000000000000000 879273298 289392789 334951880 558528706 1000000000000000000 949520920 791721430 840796839 838811375 1000000000000000000 392396596 6565499 86417364 95749393 1000000000000000000 288871401 53744863 206053121 109660541 1000000000000000000 104084304 39357051 55102598 71813726 1000000000000000000 718372914 244790242 24971320 295053295 1000000000000000000 143605321 102598313 126290388 50271682 1000000000000000000 37382795 18899102 35157254 31204813 1000000000000000000 286920628 260025929 212979110 41269116 1000000000000000000 393380812 298138266 275325933 262871419 1000000000000000000 845701092 805322000 672413579 757206351 1000000000000000000 21773406 5629950 7348411 75846 1000000000000000000 901499444 168016549 727168121 520945912 1000000000000000000 42277081 14689528 8896517 23701162 1000000000000000000 974036569 693026001 64938636 143180637 1000000000000000000 750050863 679142975 303240204 373478031 1000000000000000000 877420187 498658606 740677797 720007117 1000000000000000000 707600301 695805214 645351095 474643697 1000000000000000000 160652429 43726291 5070016 146784769 1000000000000000000 445662383 139713147 186769799 33444607 1000000000000000000 2924833 2850452 841366 1661692 1000000000000000000 553602001 135840621 319668027 301144502 1000000000000000000 227532065 117429590 62227544 214732742 1000000000000000000 591129847 264880956 41090102 141019934 1000000000000000000 272095657 111658621 56735016 178071348 1000000000000000000 485176580 157530680 165912448 465267479 1000000000000000000 720622328 386430932 104159947 454312308 1000000000000000000 540166780 296141391 403225543 158946792 1000000000000000000 284265545 212010644 89358188 23246870 1000000000000000000 607353778 364490206 381357009 40866074 1000000000000000000 459691366 153646321 277190529 207550809 1000000000000000000 615030992 26834723 432565308 122742182 1000000000000000000 133198739 51481760 90853372 10476940 1000000000000000000 625701356 345666985 474981234 61474344 1000000000000000000 890936539 220126967 250327015 702462733 1000000000000000000 120310783 31842353 9799458 84717100 1000000000000000000 760251552 130924646 236732856 599739952 1000000000000000000 835222643 162240776 63905186 654448494 1000000000000000000 699002396 589112420 524511146 266578624 1000000000000000000 197437851 25312719 139523483 118581802 1000000000000000000 226695053 141802576 107082363 179187415 1000000000000000000 26590802 24962870 2489899 1051747 1000000000000000000 373797054 48930014 139466349 56315331 1000000000000000000 350993453 38346377 87811484 233890913 1000000000000000000 573610538 422790862 484387210 372364355 1000000000000000000 122094894 57547776 26982804 56931100 1000000000000000000 474604908 173275059 87733426 248618847 1000000000000000000 746088151 555843808 274664694 402763357 1000000000000000000 577373485 567819193 208952439 347981936 1000000000000000000 136442736 86234583 132143437 81776512 1000000000000000000 552328424 312560793 470274722 188644477 1000000000000000000 16991737 15353079 2633601 8510649 1000000000000000000 129660533 45632954 121883577 92159297 1000000000000000000 33767984 28100198 27664943 6856514 1000000000000000000 850578144 138169814 159143791 776214932 1000000000000000000 293852377 231087324 283819753 92042817 1000000000000000000 206402915 113273005 35592129 19798078 1000000000000000000 832824153 163284500 798204125 500576013 1000000000000000000 778287864 129469569 146944443 47708390 1000000000000000000 399619017 40567019 266053948 249412198 1000000000000000000 236792075 136336783 53557196 40806022 1000000000000000000 431283045 95242837 60517860 282541277 1000000000000000000 358671332 211535048 183310410 271487277 1000000000000000000 333004116 130186671 258986150 196314755 1000000000000000000 242802944 100888412 202161384 33709465 1000000000000000000 257957954 38570391 105401060 186864759 1000000000000000000 275784302 95100957 225965551 258981690 1000000000000000000 14876250 8341984 8153464 6856517 1000000000000000000 872932048 274418404 369898591 316153926 1000000000000000000 30623198 21782117 16401026 13334048 1000000000000000000 795706765 392307588 286075969 218165498 1000000000000000000 575530096 169276062 559547015 213935591 1000000000000000000 825686719 404430034 396649978 748868624 1000000000000000000 804920188 557878687 364871300 582140995 1000000000000000000 285330525 32939023 14511688 236948444 1000000000000000000 611896989 197970074 602563455 209040061 1000000000000000000 694154647 48712917 514548166 328274819 1000000000000000000 216980400 216589759 143439184 187238311 1000000000000000000 983129477 928876777 450909977 275143309 1000000000000000000 52105965 43148293 41884429 38487406 1000000000000000000 377013733 217781171 325639370 360495626 1000000000000000000 339079704 35464192 83885465 211944167 1000000000000000000 382613994 194493082 359916485 221495483 1000000000000000000 345476414 149306329 108738420 145902623 1000000000000000000 161622606 58896798 89018510 156475221 1000000000000000000 109552128 70681358 61307790 10419799 1000000000000000000 340902504 303314385 215606513 10513427 1000000000000000000 142167 83235 69527 36571 1000000000000000000 835011190 382110388 117761968 36501091 1000000000000000000 190983760 59474088 154148567 11801471 1000000000000000000 815055942 813796183 719125038 189237737 1000000000000000000 211663612 91159882 148033532 48691398 1000000000000000000 232508375 121787309 32090191 102987301 1000000000000000000 400120716 224068828 140398721 231516775 1000000000000000000 935335474 757976884 114452142 224835379 1000000000000000000 346810632 257882871 267493211 214415605 1000000000000000000 482352181 291975545 208834618 30540851 1000000000000000000 93766114 23698064 36575499 32859878 1000000000000000000 610451119 79304576 397774973 351889780 1000000000000000000 452927817 440541182 391834059 188625674 1000000000000000000 466870232 198023630 228175665 435068032 1000000000000000000 864126685 264992766 57717597 226803169 1000000000000000000 289864450 288567006 240671963 50780582 1000000000000000000 996220306 390117903 220928447 554636323 1000000000000000000 51841194 51475075 22583901 4742629 1000000000000000000 694507763 54925896 198956980 381297695 1000000000000000000 58886861 2671888 22755892 25652972 1000000000000000000 948410060 612291082 689902925 505221931 1000000000000000000 461295393 133763648 90269690 110261537 1000000000000000000 108462474 76226272 40238746 68065949 1000000000000000000 937978889 484913447 425016225 221175381 1000000000000000000 106560131 11601527 31304190 102620038 1000000000000000000 801673598 190615639 498631695 95908264 1000000000000000000 701776099 310769127 110613640 213941402 1000000000000000000 703843715 228439416 198157427 546429861 1000000000000000000 221661758 62060829 75829659 39339557 1000000000000000000 310528168 247156714 19185830 198258768 1000000000000000000 540497155 188590988 387497089 456861240 1000000000000000000 895395564 670806717 391967823 357676038 1000000000000000000 251240738 64235047 67843810 240035094 1000000000000000000 586611932 331495487 159514999 286260653 1000000000000000000 247378317 104510132 226227835 186755609 1000000000000000000 291195295 98153735 263519427 138743012 1000000000000000000 792139764 725588151 5765931 257339694 1000000000000000000 46099434 39114064 1521640 34360189 1000000000000000000 681492268 279021272 1203257 210365249 1000000000000000000 94379055 75898311 72445406 60530878 1000000000000000000 472529603 91161527 106589115 376312544 1000000000000000000 635837070 3707099 180805208 495287216 1000000000000000000 118736796 115566643 93599641 55510703 1000000000000000000 759569898 146686225 181653059 758583257 1000000000000000000 612440833 276963108 314428865 185502423 1000000000000000000 612182542 216709884 208861826 48916580 1000000000000000000 552380318 159004539 182238804 35531965 1000000000000000000 638357228 348666212 401135333 501557151 1000000000000000000 154413825 21168223 78794094 82560515 1000000000000000000 138352268 52821731 137841898 60929574 1000000000000000000 311447456 284395695 308698151 149235934 1000000000000000000 217910212 118019092 54545927 8025261 1000000000000000000 662630619 66035470 314255012 114064437 1000000000000000000 422829269 420182287 4409471 114566240 1000000000000000000 546853337 2648527 431315467 48736230 1000000000000000000 911012562 414980928 555691184 139741421 1000000000000000000 184644993 86774574 43454396 53948775 1000000000000000000 662902279 510939656 226443065 54421785 1000000000000000000 877604241 543259560 282691600 602689469 1000000000000000000 196293012 14963408 167549187 111144766 1000000000000000000 237870803 141889455 6615284 17248314 1000000000000000000 338564713 146359029 68433726 312682843 1000000000000000000 925551103 518241561 208925133 462406550 1000000000000000000 878783607 352018991 432106378 463911597 1000000000000000000 55357155 14967464 17480434 53230191 1000000000000000000 810589516 291475897 356395486 539293759 1000000000000000000 549816957 444609365 131422355 176278517 1000000000000000000 538652628 108760139 366865744 190757427 1000000000000000000 655405183 305353096 379079903 9782284 1000000000000000000 453080442 211539517 220400503 436044418 1000000000000000000 815183548 795362893 664383365 488710320 1000000000000000000 410087379 265512244 352667969 55437964 1000000000000000000 152847539 142679995 88690406 121251044 1000000000000000000 914577365 905739864 591244934 458480850 1000000000000000000 928141671 544826863 914090079 347933399 1000000000000000000 425845459 201609230 55370732 81128963 1000000000000000000 958940579 598219153 938073896 562102367 1000000000000000000 532028149 269928120 487449771 186705275 1000000000000000000 596011261 462193096 392406989 518783162 1000000000000000000 712984051 371669640 699657035 40849260 1000000000000000000 218671920 102178257 126284026 16581943 1000000000000000000 766711173 525875266 214399798 60899286 1000000000000000000 115034291 59473440 56885288 96736642 1000000000000000000 242358935 141763826 6008641 29350679 1000000000000000000 287027001 248713940 16191812 98049414 1000000000000000000 650105458 570562171 411365404 538067210 1000000000000000000 773232042 365708377 393974088 310561272 1000000000000000000 169694460 164792577 109456909 79906279 1000000000000000000 706637459 227686968 31020533 558345686 1000000000000000000 247464093 99992279 130348449 19903151 1000000000000000000 895592592 152699348 171054631 387948132 1000000000000000000 744735998 657101065 157873528 116464745 1000000000000000000 91666303 51301267 85532164 79449575 1000000000000000000 577716234 44188547 547208151 110649964 1000000000000000000 43479606 34353647 14026575 27653698 1000000000000000000 208642682 189688463 162135800 197106879 1000000000000000000 846470421 394448617 782188286 805099249 1000000000000000000 100444066 65793280 87234591 39283452 1000000000000000000 869113435 347858945 313981671 123523901 1000000000000000000 151791889 150273593 53833237 99123538 1000000000000000000 595775958 230188434 421153438 559499126 1000000000000000000 474437104 393325876 343785121 393201549 1000000000000000000 133402913 61282384 27118724 101614981 1000000000000000000 182612168 38670661 163837776 160111145 1000000000000000000 185664580 168420823 104367259 179258750 1000000000000000000 748897237 406766222 346587611 553155272 1000000000000000000 150355270 106069596 56824464 101740409 1000000000000000000 167678656 45979657 55000955 54118257 1000000000000000000 974108463 938613999 721802854 164602080 1000000000000000000 969774723 61273087 424660676 950755580 1000000000000000000 972872583 126665119 622956346 523663938 1000000000000000000 64427479 8864461 45264156 64134728 1000000000000000000 384196135 103442376 142250075 223344525 1000000000000000000 450018473 155516237 336399066 60551042 1000000000000000000 665781445 612885967 171289369 335110771 1000000000000000000 789772399 405580087 541990267 734738515 1000000000000000000 922304846 148893347 757823677 545917973 1000000000000000000 154040613 81962227 7803507 142016702 1000000000000000000 177330192 102731394 22174432 71072193 1000000000000000000 759488311 211835951 300121505 719068967 1000000000000000000 773257240 144085800 620989095 6191488 1000000000000000000 50192033 2193418 29856850 4510849 1000000000000000000 498592682 391517689 231368141 245791329 1000000000000000000 41756840 37910906 21496085 4540487 1000000000000000000 106766869 90481597 77733715 101337689 1000000000000000000 578519553 370048921 49977638 95734531 1000000000000000000 278010050 104703701 273842794 28366951 1000000000000000000 970384699 489733389 71341813 666121017 1000000000000000000 506200960 85768682 310733031 189783750 1000000000000000000 7318873 656886 4558621 2842829 1000000000000000000 636972388 331579349 456119453 547301231 1000000000000000000 522754509 162805434 296464959 333239470 1000000000000000000 986741223 894638406 185289 466207584 1000000000000000000 155558819 66246788 99769938 71420413 1000000000000000000 483438044 184244915 352338325 124270560 1000000000000000000 520366777 79362133 305721587 502676929 1000000000000000000 327405859 30170583 117250998 72987958 1000000000000000000 779630544 302258862 757641239 558423338 1000000000000000000 409904734 90655351 222426949 254474112 1000000000000000000 405115752 255225280 218376444 285168915 1000000000000000000 874191470 195605532 278619553 520996422 1000000000000000000 323422673 118548890 122028277 94425404 1000000000000000000 714601107 40837858 460378285 225815945 1000000000000000000 207024237 10239759 62309031 88911151 1000000000000000000 282893694 265328711 72010078 185143320 1000000000000000000 841328118 77067085 458976732 331874461 1000000000000000000 547272390 204373654 142510244 371300538 1000000000000000000 105336385 80721895 78733820 19876925 1000000000000000000 1261527 1187530 228770 762533 1000000000000000000 607775672 58503743 32427952 600134332 1000000000000000000 924416779 347815582 904198238 670060268 1000000000000000000 915625025 178050887 355170633 459337937 1000000000000000000 491635023 473568913 241880251 49508724 1000000000000000000 594118567 593563459 545806719 433756433 1000000000000000000 436544398 23263622 255411314 174842084 1000000000000000000 509601893 355278125 8349128 133353795 1000000000000000000 399539413 215670385 95309558 326315725 1000000000000000000 183964813 31297741 20533859 128400329 1000000000000000000 247261778 175583086 209269471 211787528 1000000000000000000 880419192 262672790 721578397 630275955 1000000000000000000 931873727 435293109 383432706 391549285 1000000000000000000 469391934 47514031 225956382 186965864 1000000000000000000 2265711 1602529 1038556 1029310 1000000000000000000 71655603 71628399 70870312 26921891 1000000000000000000 89307215 69440374 31263168 32746185 1000000000000000000 17501697 1767523 6105284 6756036 1000000000000000000 182210975 119582888 82312139 87752892 1000000000000000000 654319627 421545585 135943000 504373505 1000000000000000000 791431487 637168901 603979066 138848014 1000000000000000000 374154945 186587988 234538270 198320084 1000000000000000000 411567057 7044225 137498818 342960949 1000000000000000000 962636031 544395431 46639733 380787948 1000000000000000000 987364681 303195733 28245862 576211819 1000000000000000000 829721698 54476805 575214521 25462887 1000000000000000000 445157658 365354898 198262140 188632951 1000000000000000000 527240612 413600517 280577495 285921024 1000000000000000000 748933935 606958009 460784588 542312635 1000000000000000000 516828000 156901686 108401289 28066703 1000000000000000000 674504944 308567224 599756973 478067502 1000000000000000000 455521978 252253419 96168414 54631076 1000000000000000000 229964420 165480844 104417469 126646926 1000000000000000000 780314749 404911391 668175180 652464084 1000000000000000000 104166526 77041935 26653888 11876840 1000000000000000000 295844237 234562188 142006630 212666897 1000000000000000000 317426750 83457996 313390055 15278814 1000000000000000000 721195576 330437225 80524089 407649772 1000000000000000000 288308792 7522787 197105792 72252661 1000000000000000000 931311915 390855122 621299024 473943581 1000000000000000000 851178295 150315207 250859816 519001541 1000000000000000000 359823010 203707945 111640336 343003023 1000000000000000000 649152390 218775380 458631674 619120194 1000000000000000000 805367437 414836657 432088507 138417370 1000000000000000000 644076939 70267732 44443441 563303591 1000000000000000000 510959270 443064050 67724605 163169313 1000000000000000000 852904030 358614786 618273690 423373567 1000000000000000000 246583961 169095547 119865941 198021595 1000000000000000000 448685909 58266238 145548406 217025963 1000000000000000000 863742598 669649783 217003619 449224050 1000000000000000000 458411713 176311333 371919068 430789072 1000000000000000000 715225378 134134743 605978370 43598196 1000000000000000000 394135529 53280262 260123369 378587014 1000000000000000000 958309438 793445144 846899511 10426174 1000000000000000000 537731050 372462718 261549342 138511072 1000000000000000000 32201560 15788169 14359434 28488828 1000000000000000000 243646541 120938604 152946718 31630478 1000000000000000000 638071293 131644617 225295349 375748207 1000000000000000000 879237060 136419640 232962499 428898638 1000000000000000000 734935463 606921467 26675504 630514207 1000000000000000000 131339727 29709369 69652728 85239716 1000000000000000000 806167488 270725479 788538590 196923567 1000000000000000000 202366672 96486361 54188337 36498676 1000000000000000000 165035817 95009163 128208314 86081429 1000000000000000000 839818585 641219831 462704615 263752131 1000000000000000000 181034100 118225625 42984687 1925621 1000000000000000000 419546459 71685860 70763997 225389685 1000000000000000000 669504907 194922882 609862805 1830644 1000000000000000000 732025469 278206108 230078056 34191815 1000000000000000000 10854479 9555622 10853426 9677629 1000000000000000000 700359008 696448785 587202929 408137528 1000000000000000000 188457650 184790926 54271360 43543445 1000000000000000000 346396249 204738254 51253805 245721872 1000000000000000000 737433618 67814271 61589234 491593981 1000000000000000000 296645975 144762801 61517314 65410039 1000000000000000000 748685703 461990674 332390028 127218616 1000000000000000000 196727461 46159445 40938447 12776952 1000000000000000000 41761597 29088015 25221189 6661349 1000000000000000000 65359039 6032366 3981244 53120719 1000000000000000000 998438560 84443265 339475564 442821106 1000000000000000000 558130121 155509940 485949519 352129444 1000000000000000000 485211843 218907789 239013562 27921140 1000000000000000000 92759837 35565363 44464916 90942122 1000000000000000000 34541612 20763811 19024415 22895270 1000000000000000000 584468867 506073938 134750337 326580875 1000000000000000000 817199041 514734221 586111897 570560246 1000000000000000000 895544332 173494943 840989316 812057409 1000000000000000000 372452509 312467184 315010083 216829014 1000000000000000000 58098743 17118211 33700866 27787598 1000000000000000000 81914543 17886705 61443674 20949866 1000000000000000000 876842495 63529965 409691724 566319495 1000000000000000000 347326105 46639097 62204146 220513472 1000000000000000000 999020170 96287576 306444245 760635678 1000000000000000000 782260692 185284523 313323023 777780652 1000000000000000000 91995984 72840013 12113800 38531726 1000000000000000000 146230948 48858903 19772004 19159243 1000000000000000000 3581544 605139 843558 1293772 1000000000000000000 668942843 73750772 102976744 66719336 1000000000000000000 769323138 55181837 42596028 438289509 1000000000000000000 523442023 356475650 381267196 11729324 1000000000000000000 956088755 474825344 278491667 220978338 1000000000000000000 324495859 51006961 222943415 20255551 1000000000000000000 640549979 387180451 55265506 152849881 1000000000000000000 896519395 540532185 211011482 520706646 1000000000000000000 419635354 105066261 187831041 321764958 1000000000000000000 830524026 378044309 320857576 181224223 1000000000000000000 533767889 528919135 29463708 89939911 1000000000000000000 182582796 49106504 106637698 140737068 1000000000000000000 44348600 22010054 38707736 10845673 1000000000000000000 877788452 8429449 510919075 481349661 1000000000000000000 725730302 698316188 55454429 381190737 1000000000000000000 679207214 329863567 400354750 610898796 1000000000000000000 158148166 147412902 77555410 101883048 1000000000000000000 636719707 483547237 502084436 576127774 1000000000000000000 515478477 4384172 163030737 264809822 1000000000000000000 83905086 64330269 5591297 48416510 1000000000000000000 865679340 721982451 304895685 633193159 1000000000000000000 686831396 463849713 641354911 252445919 1000000000000000000 865650325 252120912 45216726 133029129 1000000000000000000 556527476 152331451 496507281 425811454 1000000000000000000 267757143 165249557 254536961 152209741 1000000000000000000 38476530 23735553 9703812 12876911 1000000000000000000 286989798 267132261 16236427 256903909 1000000000000000000 126874568 53999846 93866598 115128183 1000000000000000000 634933227 437593944 564985504 323755558 1000000000000000000 95861364 20389836 86614288 79611620 1000000000000000000 225880240 21405589 92003892 47483884 1000000000000000000 567189288 280520991 297147154 428200386 1000000000000000000 401724382 283447470 19139459 338733889 1000000000000000000 687126534 321451290 295015138 67788883 1000000000000000000 556406711 536011714 485247358 539895178 1000000000000000000 907372904 373979719 42242636 313228159 1000000000000000000 747798034 110747726 159692147 642377875 1000000000000000000 846687077 704458583 356525612 379865220 1000000000000000000 255199462 237563757 81089924 112157882 1000000000000000000 244343934 79293916 130355163 97439354 1000000000000000000 591231948 48887299 82942535 152544705 1000000000000000000 648717639 379849963 372716521 81718937 1000000000000000000 897737833 178283689 138132387 418277493 1000000000000000000 790003005 531969170 751972212 412019796 1000000000000000000 457972871 183919643 109627377 306419786 1000000000000000000 208687326 10029414 47699624 77434966 1000000000000000000 912925812 594988429 278051741 129463911 1000000000000000000 590703558 358504604 558366351 328819630 1000000000000000000 540600546 207528350 92043159 420858129 1000000000000000000 337873106 82346169 170919979 272565336 1000000000000000000 261804692 133837871 51830993 199490245 1000000000000000000 945720877 15845416 448606748 61452794 1000000000000000000 180325658 3245463 143970014 13790732 1000000000000000000 420497215 291933593 83863534 149385424 1000000000000000000 686173470 559124287 398430455 56904283 1000000000000000000 704917034 528595048 11553820 290839154 1000000000000000000 821585692 12152947 528154408 474368889 1000000000000000000 436303720 320916653 130950474 20367852 1000000000000000000 205724508 84563877 192776250 122697917 1000000000000000000 528303242 352306921 95350218 460583472 1000000000000000000 325103646 145208472 176683763 56866414 1000000000000000000 533429276 316229361 484621577 308910252 1000000000000000000 431429245 140994407 156323804 116269537 1000000000000000000 714752042 354438517 216140902 408969660 1000000000000000000 595546910 232578906 11675678 228766608 1000000000000000000 419042862 158728799 62905079 293052650 1000000000000000000 783622879 176162137 210650731 204594642 1000000000000000000 685964882 114334591 449651689 293001464 1000000000000000000 858368952 382787416 217401574 598475147 1000000000000000000 338931961 177202407 27626211 163777027 1000000000000000000 311221662 203915591 303966674 96993485 1000000000000000000 463031658 39355425 288427546 116744305 1000000000000000000 814432270 539426560 7941329 173129527 1000000000000000000 982304429 313151131 955607479 265536365 1000000000000000000 866902174 580483705 501528898 751730294 1000000000000000000 136955921 135685904 41754759 6482216 1000000000000000000 470567634 52605858 209346930 5561753 1000000000000000000 900158329 616303491 405105334 346679941 1000000000000000000 874283824 317571363 110022082 18216851 1000000000000000000 182060376 120350890 6408237 65274895 1000000000000000000 871488111 751352280 353328590 797162926 1000000000000000000 884750334 598188390 148124380 154614839 1000000000000000000 299659647 98690791 186252624 46158629 1000000000000000000 998868952 657173828 101070451 569828914 1000000000000000000 640361581 281975221 483553175 300470234 1000000000000000000 810603090 207772178 384232934 426974656 1000000000000000000 356947261 275636001 312214464 167669360 1000000000000000000 324920667 168303700 157558279 91815137 1000000000000000000 799802570 379022990 516562663 419830971 1000000000000000000 466134025 339157662 316887898 348703828 1000000000000000000 755055061 258185482 627333369 536561360 1000000000000000000 780990095 694866597 451650985 47990198 1000000000000000000 893983196 467817017 453953360 436555413 1000000000000000000 910526854 773640081 401586904 754361597 1000000000000000000 420451505 4053574 93039939 10955593 1000000000000000000 186063644 46716715 95148706 120648761 1000000000000000000 142275759 13551310 5735810 129046998 1000000000000000000 872618889 276210714 738667255 401946255 1000000000000000000 235284115 111664073 230119531 144102670 1000000000000000000 304391735 18719105 190483073 265802249 1000000000000000000 27804011 25108455 11126582 24769517 1000000000000000000 825377373 132781952 92804678 439488107 1000000000000000000 519550054 405575298 131453263 77511686 1000000000000000000 831885946 6334166 421032595 366376166 1000000000000000000 4803324 3530472 43115 2026073 1000000000000000000 117470387 64107959 81198066 105063082 1000000000000000000 275046708 77173423 16839675 185249643 1000000000000000000 295153914 225510795 253705199 219542673 1000000000000000000 111478661 830168 105228092 75951516 1000000000000000000 421755724 331966461 141055307 384833176 1000000000000000000 554983723 352660402 370372720 155392333 1000000000000000000 953957623 242909745 252060443 680091674 1000000000000000000 89230710 5381139 43408876 88357174 1000000000000000000 760078468 663491217 96667388 635265688 1000000000000000000 918797877 64486713 838647578 82410719 1000000000000000000 504391400 376550201 428638301 496274378 1000000000000000000 953347450 71029277 276090375 782640796 1000000000000000000 20608376 19067792 17870614 10685833 1000000000000000000 307596702 185467326 66787776 262192511 1000000000000000000 996353335 813988762 864735722 871037448 1000000000000000000 570175886 4757432 93606571 107366684 1000000000000000000 194404903 27041751 16988613 18056837 1000000000000000000 714085000 327451600 441565680 444565943 1000000000000000000 470408548 319140742 359491233 427453502 1000000000000000000 188416566 120131308 88320522 96957739 1000000000000000000 473389846 237863346 134905802 246179541 1000000000000000000 374841466 114109274 203221808 35396794 1000000000000000000 955044866 616979807 243393594 159695571 1000000000000000000 503539773 257910619 270083044 422785052 1000000000000000000 833104060 779843725 571561096 330009700 1000000000000000000 590585745 304452865 193462574 158797047 1000000000000000000 456416147 225786827 158118477 5263182 1000000000000000000 910992080 212177504 452590441 543433862 1000000000000000000 45778238 37129355 42978516 7625532 1000000000000000000 363762903 341673479 125197655 332926332 1000000000000000000 668216423 98664831 375547892 100942831 1000000000000000000 768839067 510959223 42453490 619200555 1000000000000000000 711002669 63390973 646720590 505313538 1000000000000000000 951658257 142533660 875824825 630373009 1000000000000000000 805061894 761999864 289611656 158618138 1000000000000000000 52641103 15434665 28319610 23755993 1000000000000000000 942659887 915710625 318409079 451993681 1000000000000000000 929963562 566186569 353662279 91689779 1000000000000000000 435048940 67570490 413869877 67471298 1000000000000000000 670223625 610246954 478820675 608716020 1000000000000000000 78547003 1875405 32903785 76196763 1000000000000000000 214773184 208941041 207571109 150073132 1000000000000000000 435819977 420759312 359832762 22622583 1000000000000000000 490401293 168615678 152561126 369292564 1000000000000000000 567401068 52244143 338862878 224240056 1000000000000000000 590784255 18054907 78265471 204678011 1000000000000000000 22003816 9858719 14715517 5356384 1000000000000000000 41793375 22596825 2634153 25864408 1000000000000000000 858220650 794715062 572477176 533510804 1000000000000000000 403914874 364006174 191263237 90441881 1000000000000000000 685293788 562382775 82711093 500305271 1000000000000000000 21364981 3364638 14031145 10582873 1000000000000000000 571257139 301247873 48867979 334694386 1000000000000000000 679433074 661599688 154978003 295927108 1000000000000000000 366443454 38918301 7015158 13274677 1000000000000000000 763779465 424601841 744208650 735124333 1000000000000000000 747972103 393394988 345541393 70996481 1000000000000000000 405981839 107310520 318262306 307188256 1000000000000000000 416307249 34430343 288588612 138882908 1000000000000000000 856641586 560331818 218761002 678544406 1000000000000000000 514319260 96575193 179989878 425715537 1000000000000000000 726968112 281153364 397106135 384463486 1000000000000000000 83766005 38571525 82368442 78617421 1000000000000000000 874549555 170439580 276326286 224984818 1000000000000000000 657567393 7753341 222125162 236852039 1000000000000000000 21139336 3749103 16587341 19024866 1000000000000000000 164110562 72248289 101584908 38120743 1000000000000000000 233762332 137166833 106494861 228052729 1000000000000000000 368627561 285087931 306701489 53683426 1000000000000000000 478756570 226268160 295079701 138639940 1000000000000000000 711372504 183873136 699832145 50584960 1000000000000000000 568313841 189017287 417728655 119235939 1000000000000000000 942298882 271080247 131333876 586986263 1000000000000000000 51988382 47367098 31344593 19353357 1000000000000000000 629522433 85772512 288028155 170621094 1000000000000000000 212298331 161102811 132204114 146542 1000000000000000000 141428609 84074844 34784189 79616728 1000000000000000000 140226899 6295388 106903873 31395330 1000000000000000000 892274462 693152494 401485934 646278060 1000000000000000000 157523013 25410133 13696236 11731420 1000000000000000000 759383701 581183680 694354273 416526920 1000000000000000000 954788678 493491678 233843864 383144350 1000000000000000000 809952717 204258411 230953164 391581223 1000000000000000000 997986380 220001744 29243150 712817997 1000000000000000000 578222909 194026018 439590774 567082870 1000000000000000000 243720575 176236677 29792583 220480444 1000000000000000000 528275399 141688694 123475855 84802154 1000000000000000000 339527078 266161368 23727259 315245885 1000000000000000000 4264219 2555531 3767398 3573342 1000000000000000000 332004648 123572402 203986472 256052497 1000000000000000000 411955775 200875527 217885097 66757130 1000000000000000000 718281924 595029484 682691875 235432621 1000000000000000000 515367567 216553668 401184271 87537463 1000000000000000000 440540215 151626973 283205040 202507794 1000000000000000000 781268210 699655921 31796228 444538119 1000000000000000000 503528614 231606540 297987510 217025728 1000000000000000000 148531360 66776884 12774267 35559510 1000000000000000000 687690715 70475451 241850408 110587814 1000000000000000000 301532911 291470722 405379 98574525 1000000000000000000 6942902 4238726 1885823 1317566 1000000000000000000 545434542 448550519 452966484 359613525 1000000000000000000 259391640 50724684 105276072 52227674 1000000000000000000 764217964 361137998 53890397 697605658 1000000000000000000 58504331 38529308 15890372 37361540 1000000000000000000 556028610 87335524 258406368 477281270 1000000000000000000 358662604 178313582 283635181 137794337 1000000000000000000 3223975 1351757 2275021 3143038 1000000000000000000 393829816 144888371 28378648 337328017 1000000000000000000 315977945 250051817 67656635 240290752 1000000000000000000 983268211 555869418 718470480 654136843 1000000000000000000 664245740 448515724 272047563 57994261 1000000000000000000 811617801 545512428 556357555 168294418 1000000000000000000 116593637 81278855 71539428 82962259 1000000000000000000 449012819 270650121 275398389 163639599 1000000000000000000 280690999 83243054 98347680 126486054 1000000000000000000 570209786 387252965 103217841 557760707 1000000000000000000 496547971 236484744 26661745 1791061 1000000000000000000 728874701 321204845 307276701 177940573 1000000000000000000 906006906 540375406 310847341 249841266 1000000000000000000 547469704 479363415 232232043 237028108 1000000000000000000 651245887 321759890 594920159 490034885 1000000000000000000 638428111 101689925 574007144 479536278 1000000000000000000 919841362 80099595 39698742 667849968 1000000000000000000 531475296 25174475 445013482 324900365 1000000000000000000 795128653 393129076 623316112 111910848 1000000000000000000 772333630 675347295 265299270 500534872 1000000000000000000 78020654 26859649 39747295 55853234 1000000000000000000 408951563 325462586 187299818 284973607 1000000000000000000 843336521 387237938 305395014 545592747 1000000000000000000 680625058 59561884 365397995 140847023 1000000000000000000 869084162 126685092 468939261 804000894 1000000000000000000 107153684 104403747 31357157 54266842 1000000000000000000 170531091 115276785 97479412 61842149 1000000000000000000 479001798 277522418 240779936 154664116 1000000000000000000 915440065 261310373 283121804 187270632 1000000000000000000 621855958 376275663 62975749 608464164 1000000000000000000 33736284 20658910 24781029 6068367 1000000000000000000 560470194 534852771 230068427 478594774 1000000000000000000 439207150 105566884 131188784 275319372 1000000000000000000 38115787 4867867 9937382 10313337 1000000000000000000 916043321 540696821 725853183 75899448 1000000000000000000 143404385 92250255 139349645 79142600 1000000000000000000 762480888 193897867 605097296 183289168 1000000000000000000 955684476 932459306 322122842 928858902 1000000000000000000 512462838 117379198 273734437 290325267 1000000000000000000 879758496 732558400 534150292 273647629 1000000000000000000 9255209 6124676 3245660 3290516 1000000000000000000 138456638 20537690 78468409 76210278 1000000000000000000 786987319 447302829 775378765 20113717 1000000000000000000 463645448 183430671 210057476 118945118 1000000000000000000 704798940 166401806 391099385 44869763 1000000000000000000 114534022 7316437 168810 83763964 1000000000000000000 617226325 285487813 462040380 578707656 1000000000000000000 669778224 168309883 559210096 482623566 1000000000000000000 780130650 573384740 506878582 23616032 1000000000000000000 463489720 296348617 91254790 8233517 1000000000000000000 874237794 716175466 768276543 861269213 1000000000000000000 901519159 58586356 231619955 485408502 1000000000000000000 942835283 458015164 918171086 627894839 1000000000000000000 228166631 194176381 202529170 78285212 1000000000000000000 53616556 37546349 22508715 4742050 1000000000000000000 84694456 24798378 67375582 18194182 1000000000000000000 414961591 112531199 96929416 250628335 1000000000000000000 386791435 49945899 160020790 183607980 1000000000000000000 369599777 70749306 132033968 288768873 1000000000000000000 573674073 471392519 476697558 369525603 1000000000000000000 104801832 85036802 34586073 93798813 1000000000000000000 179931042 81305882 118121130 3878962 1000000000000000000 338203867 100206782 212977653 83623731 1000000000000000000 533393716 473417788 208423497 420839334 1000000000000000000 840588224 381779619 524601886 692536943 1000000000000000000 263096981 35794470 62863057 125886620 1000000000000000000 631834374 477730300 250429046 423988936 1000000000000000000 115120726 62161300 40129545 109147311 1000000000000000000 605910773 147053498 444401175 58294204 1000000000000000000 980928051 195986409 78623783 61606647 1000000000000000000 617875309 424432095 45561274 52695934 1000000000000000000 53587726 7371527 38409351 26811169 1000000000000000000 129063148 81508689 127821883 126309636 1000000000000000000 28067311 17708248 24194366 16805162 1000000000000000000 382166880 337651865 221983291 180987999 1000000000000000000 426737948 53160563 366866227 271900148 1000000000000000000 446065070 191957364 112772661 1572329 1000000000000000000 119064568 108341898 98996017 27233043 1000000000000000000 787706329 480427115 661024941 365929139 1000000000000000000 335248306 283834826 207998642 266217141 1000000000000000000 925283475 259309429 298000667 410780290 1000000000000000000 121643080 10590019 119677085 82542417 1000000000000000000 338479989 135614137 35014199 166900919 1000000000000000000 931960740 444920529 16395705 459813473 1000000000000000000 718695206 78150567 276292124 537368597 1000000000000000000 330646615 307210661 205751917 248418039 1000000000000000000 485179801 40955190 327797733 414498106 1000000000000000000 865253926 348261770 392635683 364208374 1000000000000000000 979688501 429754523 701668691 392539509 1000000000000000000 809729417 14503122 437836315 672877539 1000000000000000000 516686280 474126145 332911017 357656078 1000000000000000000 694960739 388846670 276480511 438825236 1000000000000000000 835400210 103645926 156925223 455509700 1000000000000000000 127496234 113312596 16057435 74812341 1000000000000000000 419666775 172375936 379125896 262951287 1000000000000000000 945838246 540176331 11131235 713138486 1000000000000000000 406958354 276799753 80512107 324689337 1000000000000000000 192386107 70998692 156004834 54816385 1000000000000000000 676661843 495896579 340411082 259218891 1000000000000000000 113413989 33823630 73484342 94909670 1000000000000000000 885177068 112826309 844155947 413591001 1000000000000000000 77890220 59260907 76306517 23690963 1000000000000000000 75186567 44339644 25291429 35617349 1000000000000000000 609779465 569128802 174288966 607996938 1000000000000000000 157448922 18579300 141108283 49696943 1000000000000000000 356578892 336849336 13893139 348315599 1000000000000000000 552159282 332814134 256012384 362821459 1000000000000000000 988795420 685000667 679153267 228672266 1000000000000000000 262438768 9227854 238226925 170358027 1000000000000000000 815201900 402359030 345173286 532068552 1000000000000000000 614639015 303262887 14415859 208605785 1000000000000000000 770832076 243460473 634039172 493934075 1000000000000000000 24561829 5110636 18775235 3675387 1000000000000000000 793696060 778116969 618870204 595926564 1000000000000000000 940511301 544954071 399828288 142236168 1000000000000000000 685592746 488883567 680728108 235348354 1000000000000000000 543016823 112966539 471137949 302676366 1000000000000000000 694396048 456276136 454955983 278492440 1000000000000000000 624501172 91194961 26206476 588321957 1000000000000000000 633817856 607965269 493608696 214874165 1000000000000000000 302736934 112170086 69531026 144428693 1000000000000000000 511841143 195336804 472066162 62135567 1000000000000000000 980429697 931912482 91857842 623379540 1000000000000000000 379663778 125384651 335631566 307773882 1000000000000000000 476060745 124412198 253434130 24524901 1000000000000000000 618360432 448522561 316500773 55209324 1000000000000000000 215813877 146402930 113887613 129864228 1000000000000000000 350155977 45718989 195261972 235229496 1000000000000000000 87348602 87286893 15849416 21621511 1000000000000000000 552629825 433670862 412793137 552368390 1000000000000000000 580314868 514642681 175000621 174067728 1000000000000000000 132614094 85390565 121819958 131681255 1000000000000000000 183567726 157063322 71409130 117776985 1000000000000000000 507843161 115697406 199130313 341996275 1000000000000000000 421777802 157571164 240491192 327481919 1000000000000000000 844707776 802869537 415583451 656569576 1000000000000000000 202285650 120171606 46023624 185601386 1000000000000000000 678234149 501100606 300679681 541244843 1000000000000000000 394399125 362273177 320502438 171818035 1000000000000000000 307385809 225959108 235209131 183563238 1000000000000000000 260691828 51091770 202293927 8381090 1000000000000000000 784930947 610227758 327542638 63281037 1000000000000000000 856710740 120122639 621135651 580510683 1000000000000000000 284749297 177940133 201089289 270719987 1000000000000000000 405882004 370271811 231446942 12662300 1000000000000000000 888918423 825122843 218667217 814533792 1000000000000000000 244367826 45697357 54745921 41409915 1000000000000000000 614075383 403201341 173863672 480019420 1000000000000000000 946713815 855086866 419827512 682979645 1000000000000000000 222789984 169471360 78060305 127296067 1000000000000000000 158984292 85694673 145709664 39075921 1000000000000000000 964898773 932192846 61371829 655105631 1000000000000000000 891546132 754500590 128369440 740565978 1000000000000000000 920345829 890624053 511077436 516519040 1000000000000000000 4717082 4170338 790532 4024549 1000000000000000000 157393598 38312315 86564820 117389218 1000000000000000000 193386459 40024845 26441065 158478767 1000000000000000000 693849636 214891199 659230984 162318055 1000000000000000000 315622589 120538903 2131162 79866531 1000000000000000000 403713025 115941831 22554193 192084084 1000000000000000000 242363019 200254974 3823071 217141650 1000000000000000000 232442479 81344761 187152772 112924005 1000000000000000000 341109332 129987025 57071865 327028748 1000000000000000000 933007377 768430563 737654454 218219749 1000000000000000000 848542119 519209403 803687554 554559271 1000000000000000000 409543590 181216894 275969787 399456701 1000000000000000000 383321162 274072593 5582704 278909927 1000000000000000000 531972628 57897747 337320428 498311059 1000000000000000000 91527668 44946401 37948786 31810419 1000000000000000000 472194781 280866003 384569104 75409014 1000000000000000000 326143595 11878016 213955748 289078817 1000000000000000000 799292924 456060008 119841106 425231266 1000000000000000000 514306987 94052650 199395329 457522664 1000000000000000000 749082410 572490867 363704113 247070952 1000000000000000000 428994782 392110146 301588437 244909534 1000000000000000000 201150058 186316598 35182150 65660056 1000000000000000000 784420791 121808419 772765199 143775958 1000000000000000000 188678679 157267569 126259188 60184610 1000000000000000000 727187031 43357942 243405451 70325094 1000000000000000000 117335488 15925721 44444715 113638602 1000000000000000000 899642124 724760564 499125099 460625169 1000000000000000000 330261230 89810187 306891644 204007549 1000000000000000000 838289906 187602229 374940327 203976103 1000000000000000000 899299374 189839045 85846322 356253728 1000000000000000000 911306465 446938184 715071314 353633874 1000000000000000000 105052082 67419206 11603178 66306040 1000000000000000000 491863993 383372425 136384040 22400520 1000000000000000000 726190874 177908456 373313093 253533058 1000000000000000000 127379698 51804895 63397118 65893433 1000000000000000000 228232579 134407102 7464164 88932821 1000000000000000000 608115194 254664947 64871448 44640733 1000000000000000000 257083354 242046695 100772679 151426116 1000000000000000000 589604283 302653388 130301747 314031322 1000000000000000000 705848241 513458617 273414265 348955963 1000000000000000000 172118170 122040461 36451451 51406585 1000000000000000000 32341869 9922170 14094452 4265869 1000000000000000000 397549088 226990598 251975878 36378325 1000000000000000000 306772137 115343935 270876929 171091279 1000000000000000000 45154230 35977547 24589174 10926699 1000000000000000000 577105595 527897797 543764767 221292059 1000000000000000000 731881576 416880358 456013178 696653756 1000000000000000000 166114907 70241376 150683544 120693877 1000000000000000000 254144926 41357956 107724544 220579290 1000000000000000000 447158489 287308066 311192820 41100818 1000000000000000000 209576895 188933598 49377311 101265196 1000000000000000000 406789697 258194947 82440033 404958702 1000000000000000000 770117105 282014708 103921108 594008784 1000000000000000000 697869699 194979726 520102961 75471477 1000000000000000000 317189836 32969264 22356076 192232848 1000000000000000000 927771957 563828355 863342118 722772074 1000000000000000000 931256107 811557835 793942191 558141720 1000000000000000000 879731438 389587802 487097603 215501029 1000000000000000000 884500436 256205985 846217590 375265221 1000000000000000000 850775744 175421966 543137008 721238163 1000000000000000000 524662876 179607473 272407801 397470725 1000000000000000000 67705346 62520011 1972921 23140770 1000000000000000000 138879796 14227125 19414123 68807148 1000000000000000000 698508017 362536194 616837405 615896584 1000000000000000000 108583213 57140669 56743549 36081200 1000000000000000000 186970107 46948401 167935539 109981741 1000000000000000000 795558149 50536905 757488662 713807061 1000000000000000000 200114538 16808100 24311378 34646374 1000000000000000000 403406326 209738824 335958143 164425546 1000000000000000000 810363815 616723590 23414343 339341904 1000000000000000000 908706397 742164354 344468380 192886890 1000000000000000000 843282534 272953015 577915429 526524847 1000000000000000000 833088914 98178270 594693887 103574936 1000000000000000000 243732872 181442277 190884347 82145638 1000000000000000000 637372394 183785307 278048119 132338421 1000000000000000000 655368327 310966830 281653053 430141931 1000000000000000000 253216028 158442987 129858171 145868770 1000000000000000000 321666548 158989558 34268566 81239918 1000000000000000000 708937587 79261285 315894897 332824467 1000000000000000000 684878065 217820141 149641680 129619217 1000000000000000000 797419222 167142668 322457119 425720840 1000000000000000000 219744279 58522838 58810437 159801775 1000000000000000000 968392265 637469879 70650630 747379470 1000000000000000000 494310645 266221132 45013493 480341470 1000000000000000000 475090595 33427627 119912570 5857920 1000000000000000000 677953956 232801204 125940840 661418813 1000000000000000000 487937543 189144324 328136571 352751589 1000000000000000000 435748955 49008746 116450123 366031780 1000000000000000000 348913865 327195900 244985359 93999161 1000000000000000000 943953640 144590176 536067824 908639260 1000000000000000000 842255824 712579854 695513953 213283382 1000000000000000000 322603194 254257800 207485792 234585253 1000000000000000000 244326532 198616237 55914602 196482989 1000000000000000000 590666031 33801800 494724532 430033341 1000000000000000000 911405129 151409827 739185647 433508988 1000000000000000000 938900895 247829466 603967784 298063450 1000000000000000000 843851121 109531754 412862548 307022695 1000000000000000000 928421521 496853560 496316089 241219245 1000000000000000000 218249685 75882509 20588956 71920290 1000000000000000000 733634944 188138239 147548040 155264241 1000000000000000000 229260266 169194236 8444877 65928779 1000000000000000000 341761005 293967613 263444152 136199622 1000000000000000000 590071685 195725181 522668905 27981446 1000000000000000000 727475455 356632427 647123029 190242538 1000000000000000000 888460751 44208496 510880137 611263232 1000000000000000000 962135543 723789149 302847928 300673828 1000000000000000000 802802314 231449554 432851642 668571716 1000000000000000000 415541066 350067794 223726856 379071194 1000000000000000000 512325680 324831481 195387169 141183820 1000000000000000000 354245063 309150087 137384721 240751409 1000000000000000000 751809277 37975961 738632603 337912730 1000000000000000000 583319422 4876859 127382149 525537639 1000000000000000000 51100886 37884927 42842436 8171647 1000000000000000000 989536899 165059674 572946125 585269556 1000000000000000000 802796912 563812441 207656996 794710688 1000000000000000000 882501505 497380176 815172713 696432365 1000000000000000000 523809233 348151368 271163644 215555642 1000000000000000000 405673193 28146371 199990516 162020834 1000000000000000000 831507901 337325128 655931857 33836223 1000000000000000000 146045326 77898969 2243572 80236911 1000000000000000000 795665889 729127258 105474815 95070680 1000000000000000000 650500790 592797131 526416444 502676765 1000000000000000000 793079212 314110663 451900392 613951443 1000000000000000000 643022656 356496747 165072704 70722195 1000000000000000000 454629112 59468658 7342546 331878297 1000000000000000000 528155429 458799020 163510966 353616937 1000000000000000000 570134249 543757250 198175873 561617946 1000000000000000000 175894484 31798863 168444503 22910632 1000000000000000000 566139416 521375581 382324526 10460352 1000000000000000000 544615857 433747018 506660158 243200924 1000000000000000000 226936407 156073350 76723538 41040315 1000000000000000000 924547558 73506331 477728465 647825066 1000000000000000000 937059662 42400459 808777722 322645962 1000000000000000000 837806799 263505409 376022109 186286983 1000000000000000000 808790608 772244893 299507117 164503011 1000000000000000000 505650804 270336147 494931363 205477848 1000000000000000000 624969301 106983901 58354406 103825698 1000000000000000000 717329250 560676509 142663724 456838274 1000000000000000000 984325159 601510410 362952466 474967883 1000000000000000000 780474829 699991077 418230352 380665953 1000000000000000000 392000438 203543679 353670894 210071886 1000000000000000000 35623923 29431823 4265698 11261075 1000000000000000000 733133592 110827135 179538940 503459863 1000000000000000000 110996880 110156502 88004877 77338632 1000000000000000000 148556353 122076049 97499566 72897519 1000000000000000000 296602215 242430592 8529613 196443234 1000000000000000000 17513761 15425213 3619293 5499549 1000000000000000000 539866697 80148535 8442554 410663074 1000000000000000000 601290908 520509247 103467284 265573174 1000000000000000000 653688724 648653985 231109108 584585074 1000000000000000000 877564112 281607627 61462533 32504131 1000000000000000000 57441430 54305917 20504221 47959009 1000000000000000000 488332396 460938559 377489146 258447912 1000000000000000000 979794164 47750418 558472361 406409778 1000000000000000000 256607522 226489503 117668679 14936461 1000000000000000000 847255810 70540419 813427453 16749234 1000000000000000000 651602482 608343364 230986410 32129482 1000000000000000000 430011192 265734304 351219118 169045450 1000000000000000000 684678538 610502815 572052684 612400981 1000000000000000000 954726285 193450657 770724956 564733876 1000000000000000000 880496159 622010349 29701364 368770985 1000000000000000000 368662585 89022468 35495380 110351078 1000000000000000000 589549496 215227001 573064834 433199057 1000000000000000000 502353547 187895246 345970790 262631174 1000000000000000000 402590860 206952252 247136361 221845715 1000000000000000000 192553684 161676902 146050521 64791390 1000000000000000000 272574094 261802548 9898971 75499103 1000000000000000000 615474910 453885421 338212463 68748532 1000000000000000000 663452699 249061400 309016211 313783252 1000000000000000000 58819464 33405154 18079459 33453573 1000000000000000000 876055594 500238891 594229466 846777885 1000000000000000000 400576490 396011995 322544808 397606056 1000000000000000000 751769863 227488223 149006978 747616481 1000000000000000000 600500458 274091421 135634279 494279304 1000000000000000000 319529185 259428573 304997256 164223642 1000000000000000000 539861250 255314493 388177513 14525706 1000000000000000000 820317835 82402866 427956917 552058535 1000000000000000000 446059332 78973369 196334203 87866943 1000000000000000000 413387539 369857539 295664960 218850810 1000000000000000000 803952614 647838823 222629985 739867656 1000000000000000000 289221359 41920932 173138879 10008077 1000000000000000000 698805447 477863580 228194060 541422665 1000000000000000000 339587179 267243064 118238628 25373223 1000000000000000000 741489704 223669595 584835183 475788886 1000000000000000000 552587612 529528353 3584444 262067381 1000000000000000000 541980874 359045412 377640727 288455661 1000000000000000000 892205266 26829532 97506776 217957372 1000000000000000000 329533747 157416387 308621816 105846731 1000000000000000000 20420477 5832107 1348589 9462090 1000000000000000000 62838813 38352037 380678 5946298 1000000000000000000 371549769 216471280 143986312 126287317 1000000000000000000 752241115 180058804 355623519 187272606 1000000000000000000 152119269 105048085 59516800 139241900 1000000000000000000 197068741 26263296 23339672 20525329 1000000000000000000 590207068 92598931 137672390 372490827 1000000000000000000 554660312 420295332 379745713 418134387 1000000000000000000 194126360 119738865 108928059 116842675 1000000000000000000 658837760 607559147 321277173 110423864 1000000000000000000 124279549 8865706 123217732 88204797 1000000000000000000 615384179 470144136 578508932 312862291 1000000000000000000 720160671 315982351 595142292 406389849 1000000000000000000 430542923 237237931 111540005 321379949 1000000000000000000 207673514 65746712 130106808 165474901 1000000000000000000 159228490 138825505 38907927 96477392 1000000000000000000 207517594 21991501 42651808 70416920 1000000000000000000 977617354 525300783 658125608 459765936 1000000000000000000 731203474 288137719 494998790 3045313 1000000000000000000 758438227 162162792 431431533 756781444 1000000000000000000 659527746 497580171 190575550 438503782 1000000000000000000 729147406 48393166 282940871 16497287 1000000000000000000 19170990 5864767 2552812 13162849 1000000000000000000 543592712 484899422 55697919 289703126 1000000000000000000 813886488 487476425 282276167 690075591 1000000000000000000 105152402 73320077 19802256 70901647 1000000000000000000 166270254 155039136 30508487 149885771 1000000000000000000 805676434 720367321 340493154 311275124 1000000000000000000 183502849 15867820 50160424 83389447 1000000000000000000 231639569 183948731 116971292 142752184 1000000000000000000 895653196 309305029 828240378 606344508 1000000000000000000 760701749 661114474 182802296 84089797 1000000000000000000 984135882 525085646 501747871 552407182 1000000000000000000 267092664 206663836 145270488 61439489 1000000000000000000 944618444 625553458 438734671 132071131 1000000000000000000 438350840 258316832 380661048 17887650 1000000000000000000 699602470 281040549 106677454 661272987 1000000000000000000 777952181 742887320 531528345 755179174 1000000000000000000 70411779 19237207 6700780 28543002 1000000000000000000 416330756 261975721 67423371 26937014 1000000000000000000 572424813 34232341 400083063 163775699 1000000000000000000 861655500 88181144 824007693 362214531 1000000000000000000 430124113 60806908 160686239 40833041 1000000000000000000 671096330 187204871 211242869 319224573 1000000000000000000 864771584 158028739 158575512 275076727 1000000000000000000 923047324 132630481 800874740 609084915 1000000000000000000 251963431 64627387 12754775 59738535 1000000000000000000 342461304 127524266 189518867 342362241 1000000000000000000 559170866 140956472 385882031 181312082 1000000000000000000 47779702 13965163 11201069 6209869 1000000000000000000 650428044 37880095 360671275 106683899 1000000000000000000 207057282 67877467 168530274 109480358 1000000000000000000 971592368 764843052 424894039 409315358 1000000000000000000 63487242 61519466 45872736 41502643 1000000000000000000 142919215 2692452 120426377 27905996 1000000000000000000 816793219 555893500 16273472 213165695 1000000000000000000 768829188 439061916 371957418 160400046 1000000000000000000 548560928 116169674 320328166 146059299 1000000000000000000 900189693 796260464 884633936 12979879 1000000000000000000 430259981 138754209 126911106 360933844 1000000000000000000 779970729 301369448 765742078 527936223 1000000000000000000 850417922 154844578 18630042 119455023 1000000000000000000 94920275 45913519 46291707 44231144 1000000000000000000 225188874 196928117 202227349 58360894 1000000000000000000 570846226 240706768 210830857 297316170 1000000000000000000 262240041 152074684 198814714 203377260 1000000000000000000 651147366 405243751 637140991 565559199 1000000000000000000 718802667 94251692 524601753 191309973 1000000000000000000 721034809 397504067 402478807 353877578 1000000000000000000 635419741 590052803 477607565 170795293 1000000000000000000 435000207 160245547 54891995 334050541 1000000000000000000 743383771 389372316 275336646 26998219 1000000000000000000 273911583 23333706 267008337 180997082 1000000000000000000 435245333 374801132 291413989 429155645 1000000000000000000 277158647 67542023 224159649 273131755 1000000000000000000 322868844 268262299 201314000 201249923 1000000000000000000 948081968 13351754 858645564 927655454 1000000000000000000 134819723 45219391 126556900 97343958 1000000000000000000 787864228 611930410 463813886 317373411 1000000000000000000 781872396 513337468 337077171 363021481 1000000000000000000 445406212 243186452 12368369 442911725 1000000000000000000 169018494 92971403 23074342 63159909 1000000000000000000 723128642 516040032 583200207 30408126 1000000000000000000 274540305 119638901 144751950 252079324 1000000000000000000 809430088 301936464 58989512 272061370 1000000000000000000 16654787 14493311 1748337 8934413 1000000000000000000 72775010 25891863 65367366 65847428 1000000000000000000 290995280 94195577 176233517 279607212 1000000000000000000 511537978 120505989 359960920 208179881 1000000000000000000 859464291 208011574 266878222 64138714 1000000000000000000 356084248 287750677 284429200 191405771 1000000000000000000 126399853 55031464 90469307 43465516 1000000000000000000 593461515 439321986 547803311 557529995 1000000000000000000 538969506 85338825 493321861 11406110 1000000000000000000 789620601 520113692 9250807 699439836 1000000000000000000 457153524 333702101 343572000 219785842 1000000000000000000 991953625 548335493 861321467 634757558 1000000000000000000 378547365 286159942 252120312 286811097 1000000000000000000 230725365 163921299 191077413 52563620 1000000000000000000 217574356 84953710 149545664 131516187 1000000000000000000 326703531 252738054 323070880 6604026 1000000000000000000 425058274 103140832 165466069 234339410 1000000000000000000 978111021 642213038 853125610 157833477 1000000000000000000 807961541 417571215 436608519 238048040 1000000000000000000 690547937 536923983 510147870 376183866 1000000000000000000 17138263 1903188 15489444 3122077 1000000000000000000 699367234 433490041 453757256 634611188 1000000000000000000 815714501 662850594 792906199 223105574 1000000000000000000 174316997 21006564 24908908 50094107 1000000000000000000 246187024 180627295 108945653 194878777 1000000000000000000 510534560 219023917 333766623 98835161 1000000000000000000 965476954 102292183 170205125 790552783 1000000000000000000 827615350 452876042 642998585 765848485 1000000000000000000 573279277 97085570 42274995 474824548 1000000000000000000 352262479 250673061 213098511 191327954 1000000000000000000 708267015 381135409 555766719 470067994 1000000000000000000 836501815 196077148 146209722 465348781 1000000000000000000 589361682 53980162 174100213 536825201 1000000000000000000 545855993 468136099 89458935 425329722 1000000000000000000 514468759 297277769 327025830 302223391 1000000000000000000 532314803 193482474 436178553 185640029 1000000000000000000 427013703 6323736 166341346 412287108 1000000000000000000 278740778 269171783 8236450 94247811 1000000000000000000 272994935 140461183 222827371 96360138 1000000000000000000 784299479 276607548 273744412 247349376 1000000000000000000 409788014 212458715 265431597 189733001 1000000000000000000 917505860 513515372 678807071 96311346 1000000000000000000 139698116 117372698 16120370 116955901 1000000000000000000 768937637 566730779 131498783 50479734 1000000000000000000 458016196 17579551 241790093 108488581 1000000000000000000 163087619 105366345 26763198 124426293 1000000000000000000 555022076 237100933 483977889 474038556 1000000000000000000 777785006 751378721 724723239 227435966 1000000000000000000 164130854 76762454 122554261 127302288 1000000000000000000 160528161 36321898 23921291 145526273 1000000000000000000 769723347 441606392 52361132 352819358 1000000000000000000 455518290 172960038 220822396 378258191 1000000000000000000 816220996 704046018 440576861 111989838 1000000000000000000 64159094 48072770 39557282 60449988 1000000000000000000 496090024 347052611 17322311 283613970 1000000000000000000 138080732 5007821 110048888 19759033 1000000000000000000 203432554 61338503 36800181 164170300 1000000000000000000 441418246 356535520 147787090 357115908 1000000000000000000 180626846 10176813 128940616 138088687 1000000000000000000 363020345 60962516 111047302 190579238 1000000000000000000 210126443 111023328 190606195 150849175 1000000000000000000 277556086 15845811 148929136 270347678 1000000000000000000 614174951 328780010 189879619 187468062 1000000000000000000 626025647 52358519 313625028 309483327 1000000000000000000 666718273 653826644 21520925 199304860 1000000000000000000 242417234 67924403 177558836 136327298 1000000000000000000 621344944 74285076 344922794 299245530 1000000000000000000 550046997 45899749 176184779 223073467 1000000000000000000 443718625 81931512 57214642 61903864 1000000000000000000 173321794 52881765 19254449 73739373 1000000000000000000 363025813 24751969 276841268 197186760 1000000000000000000 130942971 62940735 18130512 10704680 1000000000000000000 988273533 744943733 722828794 468235054 1000000000000000000 946794601 500159609 787186211 202987415 1000000000000000000 757702755 695885042 665774825 450161505 1000000000000000000 841025972 376345307 804485784 139011239 1000000000000000000 66955311 21499702 64296531 19501986 1000000000000000000 691689141 612423248 563285042 364572338 1000000000000000000 699124082 498911930 616108187 533107007 1000000000000000000 156129201 15028881 90732568 8688251 1000000000000000000 964430325 710965480 718631262 106922862 1000000000000000000 631552319 390676663 104555366 69913830 1000000000000000000 584320962 280977317 525618514 360156467 1000000000000000000 460854319 121508006 164775699 318746796 1000000000000000000 7722575 7345979 2706009 6664484 1000000000000000000 54744461 40682550 15610101 28572166 1000000000000000000 766451108 322150691 54669516 734979288 1000000000000000000 726882142 41414259 636290896 252209726 1000000000000000000 769123049 583666116 379233472 198562930 1000000000000000000 993015380 339693711 657530421 609407058 1000000000000000000 158519579 2090720 56974784 45004319 1000000000000000000 174477399 172565697 164590824 80133060 1000000000000000000 229007099 43134439 200973337 57688651 1000000000000000000 876421992 760309032 509353578 222538315 1000000000000000000 101268440 26827597 82484000 1554179 1000000000000000000 199517120 65583270 167251779 60314215 1000000000000000000 488822749 229728405 135108445 369220090 1000000000000000000 20294815 10446250 6926276 11229145 1000000000000000000 507238381 336592286 164289582 183125877 1000000000000000000 518156667 509316865 427911638 445286843 1000000000000000000 131395601 67871747 119788928 117530163 1000000000000000000 830528953 71107828 284386061 295840460 1000000000000000000 89129999 13406376 28747776 33257235 1000000000000000000 518197667 184587232 479041015 55100433 1000000000000000000 222929281 130977515 171195776 207381087 1000000000000000000 803973758 373434876 513615021 649461463 1000000000000000000 684467826 664579553 182320869 590958157 1000000000000000000 633145617 429256996 603892249 190809942 1000000000000000000 537178317 45117879 13233116 485826240 1000000000000000000 528737484 173581423 366195875 203127471 1000000000000000000 987352188 704443279 671555073 404739950 1000000000000000000 141490850 54788808 74142767 136376723 1000000000000000000 787639005 129808272 604882913 402866606 1000000000000000000 714668846 36257540 537197095 33759870 1000000000000000000 94923256 4830865 3630205 79667306 1000000000000000000 881008452 636779856 646882399 404068248 1000000000000000000 144981784 47751212 37667553 87356395 1000000000000000000 457562505 346089968 401385422 318315509 1000000000000000000 876927699 57052210 835913151 748578973 1000000000000000000 42987250 27327871 27837976 13586972 1000000000000000000 196140494 12480323 171286668 107856942 1000000000000000000 277226382 148854 266193038 118468799 1000000000000000000 15376579 509369 34778 8327513 1000000000000000000 748755515 615873098 448521828 185093468 1000000000000000000 86921801 79752876 65655145 48199006 1000000000000000000 84108863 24605590 1670230 51811047 1000000000000000000 582535266 525331452 220948101 249557985 1000000000000000000 589970304 436652683 356470764 335363516 1000000000000000000 807056845 563709246 283591526 6798658 1000000000000000000 615691164 328837157 572517123 504695133 1000000000000000000 911642091 685051604 575623367 203170197 1000000000000000000 190961794 81979240 86823949 6526046 1000000000000000000 22758809 20315895 13949545 2824857 1000000000000000000 621570366 159863836 520232570 39885205 1000000000000000000 847961298 249737729 511492151 531753534 1000000000000000000 407805713 101866495 266686299 388875741 1000000000000000000 871853509 198300495 864957749 367432970 1000000000000000000 440159759 45581195 130026443 293720349 1000000000000000000 648055756 15023003 214158783 332471947 1000000000000000000 361086868 253199647 322639749 74400923 1000000000000000000 454216905 83939936 116848969 217129814 1000000000000000000 753471389 138935176 339628445 664979566 1000000000000000000 339243859 79340552 183707987 292803849 1000000000000000000 214972154 20572289 29191182 1438091 1000000000000000000 256330094 255638807 134188447 167371642 1000000000000000000 488240953 17825252 89498039 13151168 1000000000000000000 567576438 77813931 48261592 350994199 1000000000000000000 877886576 484951889 384024228 460178121 1000000000000000000 194695390 171209702 152490257 188343385 1000000000000000000 941214524 51920949 422121844 491478464 1000000000000000000 958026879 573384898 581756887 482373201 1000000000000000000 542090719 84942752 197735377 259309179 1000000000000000000 557897647 347335839 203580086 262698498 1000000000000000000 27204135 17255012 17695378 7361982 1000000000000000000 196166813 28560925 105673894 177093394 1000000000000000000 559173972 381971446 452580321 283374939 1000000000000000000 856768599 118620867 244796043 403066123 1000000000000000000 191960808 22116919 100459589 110523313 1000000000000000000 100914850 59450583 92393805 91432680 1000000000000000000 200528856 116646339 112101097 71555316 1000000000000000000 395872594 73571440 88204603 98856315 1000000000000000000 495374083 462702100 452500908 367192279 1000000000000000000 491828067 265891024 339769957 217655454 1000000000000000000 436267651 241834300 157627542 56337186 1000000000000000000 274011475 149912794 21129724 114868834 1000000000000000000 912473350 451063437 178122665 20052923 1000000000000000000 608945603 423153686 219080596 393860406 1000000000000000000 289708728 39134630 112175031 281099488 1000000000000000000 51476506 6349964 13402863 44758663 1000000000000000000 807525028 89730464 375617707 159699376 1000000000000000000 989308076 541165372 964451777 427413958 1000000000000000000 123027940 67393415 58385002 99615203 1000000000000000000 206057838 11312746 36162915 201483599 1000000000000000000 388718637 195879104 28036353 73413603 1000000000000000000 399321155 186178273 392868519 113800414 1000000000000000000 769873513 567585189 493250467 64513995 1000000000000000000 516998091 235073865 262885302 497020592 1000000000000000000 64554906 43089610 6311193 35387904 1000000000000000000 155843815 50472083 153229952 36555228 1000000000000000000 342830972 276645486 319394294 216221582 1000000000000000000 404195919 175800033 334039466 118160393 1000000000000000000 158185286 76828651 87426731 23480536 1000000000000000000 44206358 14879967 7958544 35723897 1000000000000000000 46692613 37440799 32687938 13715550 1000000000000000000 197055708 129604292 99363669 121866118 1000000000000000000 837746935 284844702 264776411 584258233 1000000000000000000 548507281 536428977 546364292 199982872 1000000000000000000 742179511 203655150 506998248 637635737 1000000000000000000 129869060 16921059 26254918 70962851 1000000000000000000 109681810 51523034 61834158 92629654 1000000000000000000 431019587 424752252 117399565 176854818 1000000000000000000 422241472 115723952 388568953 312777280 1000000000000000000 577955824 53150824 517358423 100827917 1000000000000000000 414543120 111743628 280772175 56004420 1000000000000000000 707749164 323782222 96164469 7093435 1000000000000000000 881577783 486537313 268500504 784591559 1000000000000000000 305107472 48725401 290294720 8485986 1000000000000000000 391754619 100965687 158167861 93568059 1000000000000000000 82475343 76944732 78054162 72272844 1000000000000000000 193834553 83055707 27064824 62633686 1000000000000000000 789544937 170965374 413140445 391313458 1000000000000000000 947642589 417394764 398387396 756956914 1000000000000000000 794567636 770840608 665711803 214599596 1000000000000000000 604567669 237559103 317374615 254368274 1000000000000000000 729373261 98566898 119862146 676044557 1000000000000000000 529370900 444390121 239163932 12253136 1000000000000000000 431122033 355515006 55665804 316005889 1000000000000000000 842794 568002 568187 824552 1000000000000000000 841668140 324597213 795457790 483870730 1000000000000000000 794740723 436010010 188907345 501444349 1000000000000000000 2527137 1878590 834693 646131 1000000000000000000 979015540 176548487 677049219 972594371 1000000000000000000 789664917 576465662 464132179 757738948 1000000000000000000 901138736 327422806 804457457 434993604 1000000000000000000 952826990 750281997 503894311 285274303 1000000000000000000 207558138 72575480 158969285 161049876 1000000000000000000 728069657 130896386 582065987 188150053 1000000000000000000 725710220 374731294 219706102 653524177 1000000000000000000 894973500 599251702 99518317 329627806 1000000000000000000 973753504 945190331 342323574 515268986 1000000000000000000 703376844 651075221 546455691 702687107 1000000000000000000 517384064 416522934 379649800 504512927 1000000000000000000 627871841 569682879 530814204 147770572 1000000000000000000 666764773 339624638 501960230 645382616 1000000000000000000 288997259 286036983 29875454 16036624 1000000000000000000 370749936 19430704 104679061 331514627 1000000000000000000 117006409 21160569 22613984 46845615 1000000000000000000 623374063 518336346 267640403 51214673 1000000000000000000 358685051 158601441 104438771 155615478 1000000000000000000 176388989 174832374 119699948 61542110 1000000000000000000 358469078 352399005 84843255 172926273 1000000000000000000 449704312 294398565 21332719 330586351 1000000000000000000 333465910 258195832 160487362 329911167 1000000000000000000 235059011 39103480 172486333 213859841 1000000000000000000 979775833 337680016 898089312 879636398 1000000000000000000 553562009 7130506 183570183 407897052 1000000000000000000 648192297 483307301 118847846 329525413 1000000000000000000 250859133 173942607 1648680 230664073 1000000000000000000 579464755 576277419 98152477 370342363 1000000000000000000 212219377 67910949 19512995 122659855 1000000000000000000 182582395 1045094 38788685 84585864 1000000000000000000 376442900 335745790 223496860 10241619 1000000000000000000 83370892 46904883 43481044 39916623 1000000000000000000 947656771 375001152 941857203 423872956 1000000000000000000 684869938 347056071 46876757 555780921 1000000000000000000 651654996 258638070 618977716 471995852 1000000000000000000 741365175 736620722 115050558 683799756 1000000000000000000 198553607 146461513 7584992 80976548 1000000000000000000 99414015 32842565 69758918 50599352 1000000000000000000 823364522 143223047 478917441 584940885 1000000000000000000 736430191 124469423 43072564 402088309 1000000000000000000 137494416 67004681 101347836 15203328 1000000000000000000 404655873 229327476 257240981 225417517 1000000000000000000 123605035 43281496 94083276 90310953 1000000000000000000 773134257 582479357 77306736 203402726 1000000000000000000 605054229 372280720 492731070 295897967 1000000000000000000 542332279 386525245 69869212 518215591 1000000000000000000 23093098 1903602 23067805 15542161 1000000000000000000 351275501 15876248 246293018 109900515 1000000000000000000 203543205 78460998 139023105 133788380 1000000000000000000 84052067 20964310 29519726 28409398 1000000000000000000 78955824 4118080 56271365 36880436 1000000000000000000 502255471 418821585 339032090 26159274 1000000000000000000 848677494 227421879 759754394 336889400 1000000000000000000 625143470 334233316 184033765 353835486 1000000000000000000 170671698 148390966 108996273 115837802 1000000000000000000 303849367 289405868 233051149 141596406 1000000000000000000 365811273 338992085 273814185 298323434 1000000000000000000 762114292 243260117 155819078 662825464 1000000000000000000 151941189 29214259 72853366 17718541 1000000000000000000 944348386 577698283 384165388 853406783 1000000000000000000 288623300 216914455 257222527 167006759 1000000000000000000 33528429 22914019 16111329 7443176 1000000000000000000 10116109 7914644 1299542 6359559 1000000000000000000 146538567 34944339 112728593 5723507 1000000000000000000 451998973 277865326 171487815 26971832 1000000000000000000 155477307 39962421 110655202 33287813 1000000000000000000 187789072 86767986 143940299 173327512 1000000000000000000 306476830 73264617 185808755 292226232 1000000000000000000 510023731 273903639 242731524 299706889 1000000000000000000 153994570 88151618 36844980 138671017 1000000000000000000 376693465 265822885 340685302 63102415 1000000000000000000 687372182 584162377 350682151 190885509 1000000000000000000 301044301 171242220 114126124 64849238 1000000000000000000 792065664 367438029 396058697 313615018 1000000000000000000 467814140 409255393 352704643 8962937 1000000000000000000 795240553 701736334 794646782 300197380 1000000000000000000 854772742 557399966 232665894 524017053 1000000000000000000 549988398 215233891 31574287 270802081 1000000000000000000 130104331 46278860 9315412 56654799 1000000000000000000 790338648 347435073 689404856 300619123 1000000000000000000 808572087 650863955 491345400 360952746 1000000000000000000 298495047 252341757 99965624 158890081 1000000000000000000 611886402 428437342 29717709 448100762 1000000000000000000 544376551 482936737 200194618 237480580 1000000000000000000 759050058 183084630 433446448 602201261 1000000000000000000 615272030 456695367 507890393 501478839 1000000000000000000 141335960 76074151 6454988 58169767 1000000000000000000 925911955 733587095 483597661 439802595 1000000000000000000 770766697 302745189 198526256 277047516 1000000000000000000 534522078 433344813 455527911 387869711 1000000000000000000 913635552 533384563 866538681 823608573 1000000000000000000 92739539 55890971 10252919 353529 1000000000000000000 210989365 114720073 146990413 59735889 1000000000000000000 664282794 625411082 434152996 328812813 1000000000000000000 605647913 73496615 464455116 107715415 1000000000000000000 44530193 31031820 42041282 4374238 1000000000000000000 411346097 134443022 18585388 145886963 1000000000000000000 151100464 114072412 91426477 94803230 1000000000000000000 230281836 170144419 57738921 72936648 1000000000000000000 687459429 497516620 52370138 592086286 1000000000000000000 510905365 161273257 306725030 347969010 1000000000000000000 832591071 569492472 596714948 6468798 1000000000000000000 211735531 86612105 172314965 195827541 1000000000000000000 589320500 53631010 338318608 540441347 1000000000000000000 292646660 247886677 80327645 213615780 1000000000000000000 477749489 307357084 69512300 174477772 1000000000000000000 684267172 88139554 64959479 483544798 1000000000000000000 608067120 476492921 530702504 295505986 1000000000000000000 722273593 378190677 47856819 116612701 1000000000000000000 703359136 649731121 51396477 652844429 1000000000000000000 176633363 120625985 17225054 109054450 1000000000000000000 864479240 3019984 789861048 326397756 1000000000000000000 503991325 331729240 103401949 129192061 1000000000000000000 815904725 498451211 730619115 641190404 1000000000000000000 43740286 26888899 37095064 35667624 1000000000000000000 531982061 422179838 496693012 229368832 1000000000000000000 733613144 45163422 220367996 406173175 1000000000000000000 864945709 666400721 298691175 603124848 1000000000000000000 148471200 132685740 6899443 35447279 1000000000000000000 806865010 284049158 408636634 376132013 1000000000000000000 892054188 350135360 131198007 355126818 1000000000000000000 332974906 206730733 236839328 306492251 1000000000000000000 699089997 246163845 548019779 281754933 1000000000000000000 841752920 815350917 723880691 111333386 1000000000000000000 950598427 218658396 142065960 493352986 1000000000000000000 886167462 667150936 391819124 281099443 1000000000000000000 382490107 316435191 163563467 292345892 1000000000000000000 540936391 116358832 133090084 409373203 1000000000000000000 413914756 102407164 28572277 400318310 1000000000000000000 196955915 13793164 158870290 110057075 1000000000000000000 524955239 285356456 351199614 524670592 1000000000000000000 545970523 538861066 258625216 54349422 1000000000000000000 296679162 119757408 19545991 42362087 1000000000000000000 993988029 877182458 356123555 718917128 1000000000000000000 135520076 122039914 133738302 18238963 1000000000000000000 825115793 269330674 247053688 5694449 1000000000000000000 714523191 365590705 272043711 57683035 1000000000000000000 551076522 146632200 304362657 194900797 1000000000000000000 816299730 193047739 122550825 513841880 1000000000000000000 820213077 440748530 103276745 745319620 1000000000000000000 911880503 80283205 721467549 827930771 1000000000000000000 532006406 474529799 248934832 162159909 1000000000000000000 608291491 15614491 471992142 468342174 1000000000000000000 457119873 319144630 356388916 304305785 1000000000000000000 685638267 505244174 343670028 444056437 1000000000000000000 364380820 320575943 133267782 253134989 1000000000000000000 637896248 203898011 378659395 324376442 1000000000000000000 989221851 288003951 529370378 250580332 1000000000000000000 570176814 219230564 241070316 514431180 1000000000000000000 82720591 21644236 63762280 21876455 1000000000000000000 526470363 182733639 50898181 16406369 1000000000000000000 639734508 200367459 257486343 212088947 1000000000000000000 464293760 93614460 368904448 403902926 1000000000000000000 778750109 602303997 617398828 588542997 1000000000000000000 25106738 18539758 16203564 23498010 1000000000000000000 553618645 8576834 184936258 141959009 1000000000000000000 358226663 986297 276311229 314170472 1000000000000000000 540263079 13937110 91385928 303409181 1000000000000000000 781314114 611537253 154813500 461238009 1000000000000000000 466734083 425273519 371761739 355056273 1000000000000000000 215244221 55836667 182252317 110456211 1000000000000000000 407239978 250778170 33487951 338645172 1000000000000000000 482973912 98636812 341945774 428211828 1000000000000000000 668685101 330624225 397597635 18366882 1000000000000000000 665796080 268742254 219211282 198384846 1000000000000000000 590596555 100339735 135209359 374859477 1000000000000000000 884672974 521757933 382121739 680801090 1000000000000000000 655083245 511352520 510672003 165016084 1000000000000000000 925249669 686615364 563114791 254981243 1000000000000000000 951756997 164250750 554324596 101339260 1000000000000000000 935672682 856458453 489161754 652392065 1000000000000000000 357637762 228305077 337273519 157994997 1000000000000000000 244297088 110866176 234275203 14971566 1000000000000000000 293595116 148264525 66370692 165211901 1000000000000000000 633958262 593259418 305535826 450435747 1000000000000000000 594319 537532 299941 502941 1000000000000000000 587196389 138455272 38835241 289237409 1000000000000000000 807298843 322067514 108298458 399661509 1000000000000000000 21420067 19840455 14140042 20281459 1000000000000000000 650099444 529794941 432469879 69069718 1000000000000000000 721635450 8282489 679419022 506529463 1000000000000000000 984241108 29144599 587554397 686519373 1000000000000000000 777274847 636697398 267055582 514938892 1000000000000000000 550456327 310998484 506806503 171035527 1000000000000000000 592706602 460691924 11949650 430157876 1000000000000000000 824990959 405875008 14979169 250514094 1000000000000000000 111684085 58228827 108631454 17159967 1000000000000000000 840714922 225203851 470215375 133992376 1000000000000000000 274996300 183753054 7747987 41962156 1000000000000000000 304163006 140368235 165233973 75616971 1000000000000000000 630503446 14380235 601975740 67350319 1000000000000000000 190875626 167380749 139588298 132735621 1000000000000000000 5342857 4563678 3904587 3373448 1000000000000000000 766719338 355657196 350496707 680129611 1000000000000000000 540583566 20952710 532926799 184946497 1000000000000000000 994049094 689359554 572891138 993424089 1000000000000000000 397020569 384336183 177451324 333310413 1000000000000000000 750849572 146718483 43867434 684997256 1000000000000000000 176810977 138193273 12701899 128546297 1000000000000000000 332130672 32971633 122973915 306535400 1000000000000000000 881758231 730610405 360335575 387239554 1000000000000000000 710235148 636343712 495896725 367787748 1000000000000000000 318194002 178711104 271387366 119496888 1000000000000000000 817449750 693876616 296864951 738765038 1000000000000000000 137392733 99604225 126718907 9552863 1000000000000000000 52041027 20412187 48802028 320525 1000000000000000000 151880983 140630441 31270096 57832007 1000000000000000000 333228570 143446349 71206759 52284430 1000000000000000000 243245039 22302983 27357177 16174421 1000000000000000000 549128140 497393916 295468074 418484186 1000000000000000000 185064519 156047057 140354829 26129438 1000000000000000000 352503313 131746255 194921728 57214631 1000000000000000000 374115610 138497219 82670296 113017561 1000000000000000000 602286118 98923034 82715485 46765378 1000000000000000000 386257933 187045321 181453627 315845953 1000000000000000000 355893302 159118138 120184719 147881971 1000000000000000000 71655867 35680086 5262180 6268151 1000000000000000000 287819536 1566512 214433593 103429691 1000000000000000000 233260125 167811326 135795087 52371352 1000000000000000000 77354813 20357507 38436738 35789256 1000000000000000000 638344332 586408356 507491845 313237982 1000000000000000000 553301731 548564302 187505472 219630687 1000000000000000000 233430938 179811747 1238978 55871584 1000000000000000000 264797775 90749645 85407800 151686379 1000000000000000000 256639787 62312238 73918734 2396598 1000000000000000000 402124851 117717278 273817107 12246554 1000000000000000000 859896328 617406248 622066056 553402089 1000000000000000000 622476113 324021820 8574156 340769826 1000000000000000000 893939528 813500201 242776766 33765881 1000000000000000000 304365320 180265830 246027589 144462721 1000000000000000000 760868701 739689464 754514858 189316267 1000000000000000000 240420115 35901136 190532672 138939046 1000000000000000000 182236991 112233106 74664201 146620853 1000000000000000000 767820001 644894410 735679812 500599780 1000000000000000000 949556140 37122892 67110029 886816071 1000000000000000000 883921632 94268597 635853049 56595620 1000000000000000000 383433773 204544826 246396101 242975419 1000000000000000000 636313137 72425853 499796027 375777172 1000000000000000000 684903614 337497615 443563432 467721037 1000000000000000000 451520526 286290300 139193829 699995 1000000000000000000 18670308 13510471 4141021 7516477 1000000000000000000 106040354 102290933 23842232 105161476 1000000000000000000 530416374 383953120 468692430 4329180 1000000000000000000 950929648 593872377 332174238 706892481 1000000000000000000 626845226 232538780 369556220 412686036 1000000000000000000 332213871 90507146 279845474 308013635 1000000000000000000 314685403 184800797 178305467 16927131 1000000000000000000 462113877 86991518 369817038 40663378 1000000000000000000 757761829 666948298 521706121 549462820 1000000000000000000 315223858 247952636 251369664 133204088 1000000000000000000 547338245 25965444 444499689 64565895 1000000000000000000 749327880 477796113 474777196 242293285 1000000000000000000 942414916 714254999 74740428 29372653 1000000000000000000 499626465 168569602 158804399 374367766 1000000000000000000 925690470 184025823 9878872 244487176 1000000000000000000 524143031 493367792 165477990 407488930 1000000000000000000 368493847 330489650 45624122 262815079 1000000000000000000 951019332 789063548 603119004 945058070 1000000000000000000 254990256 10529737 91676214 124403765 1000000000000000000 847348321 242999403 369466682 489388636 1000000000000000000 659798812 447186049 443418330 345171168 1000000000000000000 469355938 352217959 431588667 435090392 1000000000000000000 30606727 15274641 17803865 12318939 1000000000000000000 834844102 246509232 144136829 417813356 1000000000000000000 235802506 120385018 161407424 95696305 1000000000000000000 584244100 386280583 560895739 20638319 1000000000000000000 416187301 204834684 367645731 101605032 1000000000000000000 636834070 618794622 418829289 454509523 1000000000000000000 758344222 295464506 288642467 567715871 1000000000000000000 427861605 341232776 227337993 94044106 1000000000000000000 855303280 83786015 719356054 245670704 1000000000000000000 877305769 22185349 445989797 212726603 1000000000000000000 38056552 3224859 14248132 4227715 1000000000000000000 793318016 764829142 297834086 59681195 1000000000000000000 660504316 548403997 549376697 133967526 1000000000000000000 186940152 180350347 85311733 80681397 1000000000000000000 644201952 377029850 626247197 345959889 1000000000000000000 439501391 79621862 240761505 234450910 1000000000000000000 77863393 69922827 66466243 44797857 1000000000000000000 887965598 232938677 403732128 73945184 1000000000000000000 463933172 195865761 100899825 86699733 1000000000000000000 193811927 160296006 73723278 186140562 1000000000000000000 49042160 28206595 15172254 42212804 1000000000000000000 243030132 141774572 133803072 48070954 1000000000000000000 211305864 128423954 209766159 118926799 1000000000000000000 11727933 9559366 10339776 5387932 1000000000000000000 799455796 687589625 486148756 716520747 1000000000000000000 752594731 184956373 597038039 675530737 1000000000000000000 686519721 183379167 502819503 340443244 1000000000000000000 626568663 95445169 555162475 96967208 1000000000000000000 246483690 86191057 161065351 876023 1000000000000000000 299637399 37216654 192370119 6181587 1000000000000000000 625173408 401381316 360314954 29827540 1000000000000000000 935022680 483487169 655549582 38306135 1000000000000000000 940514365 715398241 188043750 862971260 1000000000000000000 484729942 282479755 42032345 259336390 1000000000000000000 663435783 125231277 641032966 440980712 1000000000000000000 608252638 42940357 331325872 384938590 1000000000000000000 51350408 28158138 1850725 35319757 1000000000000000000 338903708 127208763 31210910 262625758 1000000000000000000 141051233 92212386 52854234 27229197 1000000000000000000 416894123 140928705 92283693 226093676 1000000000000000000 716707809 201338723 1913328 297803376 1000000000000000000 73772343 17912521 1343540 54717725 1000000000000000000 936164067 518628667 233212077 836809434 1000000000000000000 983371600 561681921 608020336 208749379 1000000000000000000 860584825 797153579 167465972 415536819 1000000000000000000 758180496 360843777 727086848 743309405 1000000000000000000 913730216 367470788 778146907 389523995 1000000000000000000 782401294 556000690 639781323 638234271 1000000000000000000 96382071 48556338 51921760 79824790 1000000000000000000 163353771 73496293 78510449 119428082 1000000000000000000 835139498 760209589 334079582 161885931 1000000000000000000 934498963 440301688 183119239 885850740 1000000000000000000 616560886 269461463 9592488 465177257 1000000000000000000 544547335 465009012 540961677 244707640 1000000000000000000 615756750 215684234 172015124 195645679 1000000000000000000 619087740 188260512 300835781 267099909 1000000000000000000 463087605 321267581 234613202 66816730 1000000000000000000 469304966 208092139 430067763 50461499 1000000000000000000 133720145 12728589 105293372 30451018 1000000000000000000 862050749 100292793 793709738 304883796 1000000000000000000 965763290 109920604 168193293 139344181 1000000000000000000 176398734 165803354 169689957 94061672 1000000000000000000 759773520 682765328 29571282 462181423 1000000000000000000 911882914 832329316 849472628 807705402 1000000000000000000 679841494 264756393 531115061 77409685 1000000000000000000 948676221 673620065 365841663 470930692 1000000000000000000 252537313 134938796 37394441 151048157 1000000000000000000 199455606 33243265 60017035 143683334 1000000000000000000 162159293 15611735 72189927 1424369 1000000000000000000 611405017 323128467 240696722 57207966 1000000000000000000 177320191 31986779 19422595 67137258 1000000000000000000 772984385 45059985 578921907 377085946 1000000000000000000 422178185 82641015 139045739 80601444 1000000000000000000 168117563 153296870 74331799 9688833 1000000000000000000 83877930 74628979 17977051 58930907 1000000000000000000 271164616 11346135 195433622 127616120 1000000000000000000 291388131 108138910 272947976 278228535 1000000000000000000 526705054 49374829 168963611 39259654 1000000000000000000 873026068 841753753 508736153 501763516 1000000000000000000 462400130 338560601 216036615 284201082 1000000000000000000 639839261 66842000 510196601 524065763 1000000000000000000 767127707 197658897 747237668 16135321 1000000000000000000 2049687 1781841 808051 254269 1000000000000000000 506950971 254499904 313920933 187329905 1000000000000000000 260671068 139652886 59719026 65660678 1000000000000000000 52358441 32655436 46595763 27585955 1000000000000000000 947985414 465797485 559686113 934428486 1000000000000000000 212863715 148084891 172873657 94088695 1000000000000000000 810937322 303327339 425579393 476573707 1000000000000000000 846499360 593348626 787082263 183377163 1000000000000000000 403731864 59783224 292098318 189850620 1000000000000000000 662099194 338312604 342100288 55170541 1000000000000000000 823066490 821130612 778904792 334845293 1000000000000000000 90425084 89475832 31758943 78677106 1000000000000000000 230442286 13710000 167520392 172581088 1000000000000000000 690703856 355139171 465802935 459698893 1000000000000000000 35516963 26385075 26222791 10769210 1000000000000000000 503027660 99773202 850970 71446677 1000000000000000000 503962038 218949982 103067558 226752758 1000000000000000000 632575154 598236783 61470796 10079963 1000000000000000000 470644963 83294748 283051456 397933570 1000000000000000000 844235688 595855505 776657082 397314095 1000000000000000000 537771769 470842871 424065021 413835132 1000000000000000000 882022335 317769615 537559188 502077147 1000000000000000000 610700460 543167655 537344360 393650143 1000000000000000000 638956609 374598862 74979862 577374834 1000000000000000000 832848286 327048202 620787646 8196170 1000000000000000000 566805568 32440818 562262224 255085616 1000000000000000000 260512017 211554520 184747194 143440229 1000000000000000000 347602414 209981067 187230669 194540456 1000000000000000000 204704479 50179916 56263847 74756434 1000000000000000000 902366228 890685758 897077176 775630291 1000000000000000000 357953317 239843184 91290172 277436529 1000000000000000000 136210123 98070497 34339314 3559220 1000000000000000000 669376477 374133580 365374729 108077250 1000000000000000000 646338782 184693989 505737876 42974694 1000000000000000000 912164894 583385407 873248023 905855111 1000000000000000000 625960572 122296981 316642117 258727108 1000000000000000000 55326852 32400698 14200240 43813046 1000000000000000000 327480446 39799641 59270438 238256835 1000000000000000000 572084099 187721346 190628792 214603367 1000000000000000000 340609288 98301428 7712106 72064358 1000000000000000000 292743176 3023869 292000387 182950769 1000000000000000000 919542083 691424476 745357734 707376640 1000000000000000000 423384262 130725008 385177269 177331523 1000000000000000000 986149351 885812621 379888869 272674047 1000000000000000000 395206404 7359339 369710902 189195030 1000000000000000000 46618588 27323822 12059409 23831754 1000000000000000000 29230187 4833366 28185651 4075472 1000000000000000000 969695965 805246100 708987587 599210971 1000000000000000000 149755488 3440269 71708330 11603784 1000000000000000000 991476885 249009523 373103559 297889968 1000000000000000000 963409272 904330159 762850411 150668676 1000000000000000000 592605285 327386531 455034908 512313004 1000000000000000000 327947327 55720948 77663227 198935390 1000000000000000000 779853061 649355898 466222030 295197279 1000000000000000000 182938932 169717167 160756422 114508862 1000000000000000000 923881234 11146552 764945435 836211519 1000000000000000000 607014974 9649465 541976538 155588307 1000000000000000000 887857902 115844931 245610712 790594478 1000000000000000000 52749367 35200194 28286938 1030873 1000000000000000000 594158888 330957139 285789874 132939636 1000000000000000000 264088855 121729827 262202993 19905989 1000000000000000000 117943512 35234491 76812980 103851574 1000000000000000000 430909456 39695204 307000647 342142192 1000000000000000000 988385288 476719095 577049337 198165008 1000000000000000000 9907771 7543515 1883160 7503330 1000000000000000000 185255601 145456680 82276018 91853244 1000000000000000000 265554394 83579115 25350115 225207106 1000000000000000000 459096181 429463028 22655194 382945825 1000000000000000000 599840273 156006870 455894758 564120469 1000000000000000000 171630157 157229831 7551359 10759666 1000000000000000000 659876478 342962876 50219129 137013640 1000000000000000000 668698371 204655200 135547877 573627566 1000000000000000000 662543685 132154831 573834495 532401634 1000000000000000000 549826210 276800314 315046466 115797440 1000000000000000000 84197246 63876891 25631085 59577837 1000000000000000000 24546484 9194316 534781 14561273 1000000000000000000 104192810 61475497 50708763 95297293 1000000000000000000 262699552 145772398 194450104 143121555 1000000000000000000 8955751 2473566 2368798 706357 1000000000000000000 260649462 223510225 202700026 52076975 1000000000000000000 912760829 177879693 655272649 894409771 1000000000000000000 860825796 618048 298116876 242472348 1000000000000000000 968070757 149839908 153111222 446453147 1000000000000000000 336642302 182812637 210392659 317227381 1000000000000000000 88308910 25848633 46553359 20492727 1000000000000000000 13605198 1847264 1472696 2572712 1000000000000000000 308663513 177506138 180333901 83679017 1000000000000000000 185016206 80920396 51714062 122787780 1000000000000000000 848033148 416290326 449102857 470219186 1000000000000000000 935897847 168873026 467742654 760874259 1000000000000000000 882941170 433818752 706048064 419683003 1000000000000000000 868840581 855803776 482874492 635467239 1000000000000000000 338930109 132113090 123635725 51246556 1000000000000000000 723500873 171126471 340647330 329385766 1000000000000000000 870276436 213913773 246263306 702293053 1000000000000000000 925610386 603369288 227498781 513839269 1000000000000000000 299886192 43811381 218393187 39684348 1000000000000000000 504980016 123298403 43921678 476268765 1000000000000000000 304234929 165547446 72014334 71569086 1000000000000000000 267049630 215567975 138323597 733742 1000000000000000000 888636647 594040170 294884007 90548234 1000000000000000000 929189384 783897261 514329151 580624757 1000000000000000000 371127722 282677058 135262187 321366491 1000000000000000000 814411863 441454554 379414017 475064448 1000000000000000000 911113445 851524210 704340707 218479932 1000000000000000000 827181984 523797125 377806332 268918413 1000000000000000000 83296058 17049187 64790374 73847261 1000000000000000000 426837758 289265696 314586182 345047057 1000000000000000000 693679297 534118013 625114618 620626644 1000000000000000000 88760948 65670161 9384758 29129404 1000000000000000000 280085619 173429003 72520076 89112905 1000000000000000000 321636715 280081861 166917237 120351931 1000000000000000000 994832126 99681233 472181097 480763716 1000000000000000000 638677700 405062238 91306813 301034083 1000000000000000000 758278006 107562129 218784333 226323800 1000000000000000000 583115508 503123616 348931965 278613679 1000000000000000000 204304649 188876903 8458405 159526592 1000000000000000000 153477675 33509132 63972860 105627654 1000000000000000000 805814270 570712341 511583473 133153366 1000000000000000000 953528265 415789553 746815926 210795736 1000000000000000000 327864708 55458041 88380896 243795912 1000000000000000000 777973628 36894131 87978338 660090353 1000000000000000000 275041061 61126159 70849791 242021347 1000000000000000000 858672428 397229735 360160860 369263619 1000000000000000000 979622190 97195104 945313259 177414139 1000000000000000000 160626358 30622302 101302329 146021926 1000000000000000000 966022197 796066381 588196934 334981410 1000000000000000000 457589001 3760683 86306263 83416240 1000000000000000000 108007689 1008184 25070880 69375100 1000000000000000000 84212991 53131006 47497227 60783023 1000000000000000000 521552012 305684180 359788752 230731346 1000000000000000000 683335832 240700750 393021229 7196374 1000000000000000000 707386250 408145942 239672212 153815431 1000000000000000000 481875790 405424215 282686236 56178135 1000000000000000000 601233242 472768210 98178807 468137553 1000000000000000000 805207823 158746364 754820419 277026595 1000000000000000000 363362222 172621461 241638452 244292461 1000000000000000000 872836688 533493261 302106708 345467059 1000000000000000000 645404542 360628604 115020325 428586151 1000000000000000000 318195084 148698544 293463204 102742769 1000000000000000000 992043897 256842455 941008509 54665865 1000000000000000000 77523633 26591480 20680975 52521101 1000000000000000000 986083668 696469342 343599602 322752703 1000000000000000000 717873769 536782901 537459594 544112979 1000000000000000000 985309734 89540725 234586775 43262924 1000000000000000000 555805352 409811288 54724074 440743863 1000000000000000000 226039477 55503507 159302422 172470294 1000000000000000000 451121192 120596373 406124075 342549202 1000000000000000000 187959310 78995960 89284923 136094254 1000000000000000000 396051075 82540148 374335885 368346871 1000000000000000000 886731730 534646147 306587903 102764483 1000000000000000000 485117170 51129271 256380955 224961563 1000000000000000000 656317669 567429281 22050893 620828904 1000000000000000000 809655217 414889514 12357942 695115272 1000000000000000000 489804827 450697615 378123455 296244756 1000000000000000000 226089469 104613776 20268621 172653316 1000000000000000000 608462816 239057802 18930451 426424575 1000000000000000000 72944332 40721231 17169446 64801419 1000000000000000000 267187737 240698381 81821702 110652242 1000000000000000000 388263026 79480081 109364976 248356509 1000000000000000000 867732007 121815924 698638783 490093753 1000000000000000000 65438969 30161778 37789824 31084437 1000000000000000000 543438781 511965121 435796687 20444452 1000000000000000000 25256698 3124763 15012640 25165757 1000000000000000000 684304431 71866250 215570755 435933742 1000000000000000000 819313560 470541926 214414214 600671425 1000000000000000000 666003418 28063058 26887813 147158764 1000000000000000000 206519747 202328086 86985722 90739871 1000000000000000000 331653238 121928094 261039617 96678330 1000000000000000000 47455756 7402922 20490416 14440690 1000000000000000000 660589222 123055268 209443573 283607929 1000000000000000000 311726217 204418856 156212130 34821531 1000000000000000000 608782801 191025318 579995862 65080823 1000000000000000000 814811324 769121259 546598607 219423106 1000000000000000000 301731649 11026491 225970091 244743574 1000000000000000000 675241756 98804662 568849653 657261910 1000000000000000000 30692755 2969075 8807621 29787040 1000000000000000000 283257167 196538017 266166899 198843788 1000000000000000000 955623985 740367832 48423918 43860842 1000000000000000000 459511070 254061738 135411701 92731109 1000000000000000000 667677551 265008407 414935059 283303193 1000000000000000000 472763020 438183812 92983894 882062 1000000000000000000 273254975 203628960 96047469 243397147 1000000000000000000 760015689 494378310 173394376 555950834 1000000000000000000 949128629 598541147 932108133 508352585 1000000000000000000 184425864 31062780 95603542 182118758 1000000000000000000 741609861 697419334 557293087 300187341 1000000000000000000 995428750 27383683 31993111 939874839 1000000000000000000 380981877 364695657 49066749 64119724 1000000000000000000 900297446 292759309 237566298 400893560 1000000000000000000 93673854 61306544 56175361 5174113 1000000000000000000 134353458 29279579 114404480 75666249 1000000000000000000 92400135 31008569 82988366 86600555 1000000000000000000 753335870 277641012 115609337 13737401 1000000000000000000 800745821 523617287 81684126 166758234 1000000000000000000 860262235 162470597 812861210 468921841 1000000000000000000 203509032 161994639 190204070 191236602 1000000000000000000 828163342 247617410 133183877 705040679 1000000000000000000 696650227 404078407 647377590 338370361 1000000000000000000 457921475 206146657 381375124 100930480 1000000000000000000 586392304 215236811 449874562 380129173 1000000000000000000 931816647 19472759 376276804 866244679 1000000000000000000 592734692 200586260 182942306 430147761 1000000000000000000 670719852 554003636 32897014 98945760 1000000000000000000 211853543 35081031 84948058 39809278 1000000000000000000 201141152 14300755 6742250 136561167 1000000000000000000 304654327 187101794 86800626 91111264 1000000000000000000 509678426 37081497 57791895 269598786 1000000000000000000 75031981 28988676 63340268 3620849 1000000000000000000 149176666 102289785 51300033 77269086 1000000000000000000 264758321 188282845 196338973 145979234 1000000000000000000 383973339 131595689 33074293 158541163 1000000000000000000 394193302 159423250 278441963 121568352 1000000000000000000 114547935 38759657 68760481 84078069 1000000000000000000 389967600 314313270 132307441 262033024 1000000000000000000 873728877 503917162 415767443 608039857 1000000000000000000 615390677 219961916 568855502 466186710 1000000000000000000 564159766 484933193 454281980 126871853 1000000000000000000 825340003 621132101 560445957 82216684 1000000000000000000 672274800 341014577 584763962 670777546 1000000000000000000 365810640 339184521 25083946 316862701 1000000000000000000 417286893 351090716 212631302 309417213 1000000000000000000 555567275 224996921 538741919 329838359 1000000000000000000 328671748 57464222 219340470 8868227 1000000000000000000 376936303 256018137 270779764 79473015 1000000000000000000 641528597 111000351 346480700 415513655 1000000000000000000 718239754 583428316 466843429 95470864 1000000000000000000 494163806 244884185 423159052 488274162 1000000000000000000 288220273 12129063 77763843 137005389 1000000000000000000 815583722 35496798 622615423 323021297 1000000000000000000 654866011 354305526 28400337 22958798 1000000000000000000 513388793 506944110 156924457 502813745 1000000000000000000 234980351 43368711 5722884 58210715 1000000000000000000 170513142 102030402 166279866 15850318 1000000000000000000 45904730 22181595 2181954 6481516 1000000000000000000 755661261 714408054 490371040 591793834 1000000000000000000 822642301 608989385 680273612 306826614 1000000000000000000 658346354 268582562 317933134 192621344 1000000000000000000 965122743 881726545 606847103 447724292 1000000000000000000 455803669 179289032 122926618 301513549 1000000000000000000 933830381 550590533 228342903 557462172 1000000000000000000 429522409 182632245 240566382 238139778 1000000000000000000 790314473 351568202 524309051 235605003 1000000000000000000 460475362 326150810 115490038 457445766 1000000000000000000 967473940 160861276 929974826 532443279 1000000000000000000 407328088 325513545 320783205 263632282 1000000000000000000 116377399 87785402 26088039 101567261 1000000000000000000 489999094 263458141 246097057 91530178 1000000000000000000 644025967 123158356 98227833 610921395 1000000000000000000 423218762 363467144 284947318 358293109 1000000000000000000 862615853 347134540 240129301 261224919 1000000000000000000 438407581 153821441 406636540 102847398 1000000000000000000 28647638 1617067 14043646 19058381 1000000000000000000 682945398 415352943 420764761 271402664 1000000000000000000 648912632 96170661 442411950 578480736 1000000000000000000 769792806 101408688 387904580 564343566 1000000000000000000 921309479 783673351 792702179 104703558 1000000000000000000 12720370 755139 4366502 12476758 1000000000000000000 369308939 352395705 197909514 321696958 1000000000000000000 289674921 178158391 92485606 34976508 1000000000000000000 745381724 365421216 362940644 68613874 1000000000000000000 358884898 103420139 256319600 337423575 1000000000000000000 497613909 441187842 387892891 472244869 1000000000000000000 316135931 244535540 516305 49960148 1000000000000000000 962206358 259541313 837604659 557457975 1000000000000000000 274462016 219095064 258616012 116869093 1000000000000000000 133210080 74520293 39805359 8688842 1000000000000000000 438545062 392520880 119755391 336049293 1000000000000000000 280603661 190387611 50157307 77287438 1000000000000000000 807855480 735567189 36573739 487849773 1000000000000000000 603266605 261160247 49873955 145031737 1000000000000000000 855918108 73538514 233951660 295847154 1000000000000000000 573931644 543551156 167015790 316154501 1000000000000000000 200267022 41920009 123779577 8573477 1000000000000000000 533754613 529196527 56188493 217688747 1000000000000000000 771755582 369898563 346559690 63244399 1000000000000000000 242538331 118421964 11041940 45145576 1000000000000000000 165128742 92019087 100565807 9941818 1000000000000000000 75934286 12138946 45948745 17283318 1000000000000000000 678560919 411092674 550924517 123085243 1000000000000000000 672804190 150250133 536167499 548024567 1000000000000000000 883027227 375818561 363698517 481331254 1000000000000000000 694236049 449889891 581313238 309691592 1000000000000000000 998052143 130136544 952248711 901832014 1000000000000000000 199555787 51208719 108686545 103939914 1000000000000000000 958342010 53341468 195053262 201522897 1000000000000000000 255712456 3327954 143156877 44429417 1000000000000000000 448808505 72844746 294847710 138276234 1000000000000000000 675154338 513101030 60143675 251320991 1000000000000000000 379759000 183656925 163575187 180148554 1000000000000000000 682586181 87291498 54877547 587359822 1000000000000000000 527739642 209127533 264660213 231193548 1000000000000000000 311759272 164605671 155657851 107896345 1000000000000000000 434003532 380203911 145860500 417997073 1000000000000000000 734994242 447975958 500694246 603575597 1000000000000000000 208680963 103005031 7068958 198176890 1000000000000000000 633558719 378449569 504962719 1739932 1000000000000000000 799070235 625814740 207596962 732460719 1000000000000000000 739072878 717330298 724950464 323556472 1000000000000000000 356644907 350528996 137455782 241706089 1000000000000000000 741670604 696333181 443979932 430437336 1000000000000000000 889887178 121390989 243573771 638601502 1000000000000000000 574780851 418659621 115032190 559809845 1000000000000000000 810461438 81422390 313503656 585250492 1000000000000000000 755483776 739518062 640876109 742797575 1000000000000000000 322953085 68219806 166957616 273299165 1000000000000000000 852636360 128810418 395114856 802428829 1000000000000000000 349044867 23108994 341860048 247943102 1000000000000000000 122834117 52975240 94517154 11420725 1000000000000000000 164521716 94916029 140291312 28258374 1000000000000000000 577208568 237485814 446023247 49818939 1000000000000000000 786666302 2704004 704199361 125954015 1000000000000000000 255489009 183582093 134553491 175288072 1000000000000000000 955645033 827845385 691314476 103883459 1000000000000000000 386014640 360894665 41877452 355939571 1000000000000000000 376137937 280957976 262367061 41175900 1000000000000000000 285534472 74745782 185795716 25625649 1000000000000000000 765403827 481897489 169668095 591780411 1000000000000000000 11204964 7861123 3307600 6788481 1000000000000000000 698196011 574368518 587029002 260518296 1000000000000000000 60428069 52189642 28741762 52846998 1000000000000000000 454636021 190629417 296257863 164695327 1000000000000000000 373997615 341855697 93731034 100820620 1000000000000000000 776400381 274682125 243056946 229048792 1000000000000000000 74203258 31839697 4973937 45658319 1000000000000000000 13932076 4199381 2496105 95565 1000000000000000000 735408553 17636950 25444059 490844268 1000000000000000000 956419300 533432985 613624879 852847827 1000000000000000000 867535712 542290103 845834352 577719344 1000000000000000000 497985312 185644390 205672056 138689486 1000000000000000000 317485970 203835024 21996804 239240528 1000000000000000000 285628635 209049557 232416653 177274875 1000000000000000000 674007150 502956918 44174034 631309810 1000000000000000000 476977618 33381226 69439852 320944319 1000000000000000000 442300124 355840619 247838149 306837815 1000000000000000000 453653595 440529913 338088452 405430165 1000000000000000000 758843294 358161234 457620359 191115471 1000000000000000000 400315516 64290062 138529903 21860024 1000000000000000000 506057758 228423617 60748048 3493012 1000000000000000000 402262702 13277617 139414212 63027998 1000000000000000000 881958526 628714376 652352910 95585392 1000000000000000000 302623112 164466394 176306823 202454428 1000000000000000000 479466724 228015370 410987845 371021259 1000000000000000000 940674567 432207606 886248828 563502753 1000000000000000000 469396782 257688423 450941332 326797220 1000000000000000000 222046738 177125704 142103814 24750141 1000000000000000000 842289178 469310308 757876481 619635705 1000000000000000000 319234827 87260908 173351989 165379178 1000000000000000000 131847949 47392877 65902936 127721412 1000000000000000000 537374328 19008383 390597412 190107821 1000000000000000000 219766825 174292401 170913343 132831191 1000000000000000000 222818656 186191000 185797821 86042056 1000000000000000000 164656337 112103300 23403809 156859575 1000000000000000000 83715585 40555975 52708248 58369259 1000000000000000000 977763573 358346613 971389860 225160101 1000000000000000000 955568993 406025334 626851696 735920143 1000000000000000000 602370695 375175607 195249023 318012436 1000000000000000000 493862935 331360403 252462711 389777422 1000000000000000000 912856178 173314893 758294012 409830306 1000000000000000000 585378608 203980031 349237473 316604122 1000000000000000000 992745891 211454760 157892951 293066995 1000000000000000000 602983835 45035914 545519660 473672357 1000000000000000000 402097640 277419394 361901143 42479426 1000000000000000000 959689076 796324120 848933232 469246877 1000000000000000000 700010631 297499912 573985895 419229333 1000000000000000000 710126068 360619523 562687502 653542768 1000000000000000000 237663195 122970774 119248210 158547118 1000000000000000000 834149293 660072889 11262025 13566432 1000000000000000000 505622692 282152678 472144742 321781615 1000000000000000000 903054407 285860657 885969409 366389723 1000000000000000000 752131258 361537883 720622722 465294197 1000000000000000000 504133765 498787488 393238241 326164205 1000000000000000000 154528985 151298945 87227546 24228447 1000000000000000000 927308840 295494802 584175747 680686682 1000000000000000000 700210781 552677562 95187199 514004741 1000000000000000000 171347254 170440985 3092166 36305613 1000000000000000000 626378634 545399343 491794859 271955565 1000000000000000000 255563737 166043092 222425710 107708787 1000000000000000000 313460103 59312316 275954279 39625465 1000000000000000000 539126043 239280337 280180196 29183530 1000000000000000000 713681298 130539299 487121674 395874178 1000000000000000000 319598713 61403609 192504550 209795769 1000000000000000000 722190951 161736782 373597181 172807610 1000000000000000000 225220772 167769516 147531159 183471974 1000000000000000000 469539470 307451903 187928748 79503421 1000000000000000000 76359989 52726452 30336743 32018454 1000000000000000000 750626619 318437698 56267044 99241444 1000000000000000000 801666544 473987062 657544199 150700900 1000000000000000000 774805445 25088355 364704583 508235588 1000000000000000000 828158054 197043924 409150814 793447459 1000000000000000000 142949031 56596780 97472049 95064564 1000000000000000000 442742540 129206424 115577356 10424445 1000000000000000000 680742299 430662426 234260767 22658867 1000000000000000000 368461105 24576632 145456341 362944600 1000000000000000000 727259095 213450176 206721644 592597855 1000000000000000000 864921341 432403716 707361649 27822760 1000000000000000000 205572424 117539603 73460732 181106966 1000000000000000000 702910923 121784463 595288200 548578981 1000000000000000000 908928603 707997627 639905053 577362519 1000000000000000000 836890173 474322232 74527596 542458518 1000000000000000000 359495114 26419906 62585022 34893284 1000000000000000000 568225688 106194774 527648121 168143274 1000000000000000000 480705932 152530826 445441935 375823264 1000000000000000000 93479936 80603493 15877085 39783088 1000000000000000000 968885993 777703358 604734780 564583700 1000000000000000000 704492408 64863110 67886666 488326596 1000000000000000000 334523778 217631366 220015604 45745164 1000000000000000000 874240511 233141115 147540096 480479128 1000000000000000000 622362124 421442710 31002279 215762166 1000000000000000000 73147275 41340499 4661239 43275495 1000000000000000000 509386827 29157116 77136989 132212752 1000000000000000000 391087372 309137029 37532798 204996697 1000000000000000000 932697728 677404391 110854929 799950681 1000000000000000000 791395385 432864635 533815097 54456769 1000000000000000000 793965147 263392211 542447056 525377614 1000000000000000000 317283104 183405613 258281444 157329473 1000000000000000000 362739212 317744251 18114943 323447331 1000000000000000000 376304151 167189568 296540916 162811505 1000000000000000000 381131606 138652240 149681435 298902332 1000000000000000000 734901092 138379377 242725140 615234185 1000000000000000000 579742886 65516349 35329402 413840446 1000000000000000000 651396385 616192234 243748916 352157592 1000000000000000000 370470313 241695355 166060344 299248292 1000000000000000000 81752641 54143564 38552262 39017966 1000000000000000000 645105793 574298092 83899839 295571361 1000000000000000000 600841991 583688709 506228053 353837492 1000000000000000000 282598819 188985321 232448894 37218654 1000000000000000000 500519892 395754812 285906655 425202460 1000000000000000000 556897394 495442405 228662954 470645302 1000000000000000000 469291219 14954278 7567720 234344872 1000000000000000000 771637669 85398685 537646586 136598477 1000000000000000000 85630817 73146253 14206066 16611138 1000000000000000000 790029448 654864254 722863190 532706366 1000000000000000000 651308797 620876456 503942369 330831824 1000000000000000000 670579858 63707439 254084481 143007777 1000000000000000000 358420190 266868366 3804135 93227138 1000000000000000000 300077488 1945808 65864723 58512185 1000000000000000000 318910257 242285746 6968081 2339817 1000000000000000000 23937559 3408851 14098196 10487720 1000000000000000000 173690868 21451002 148639336 49055901 1000000000000000000 269268783 106622691 266124335 196919456 1000000000000000000 80794083 78034237 6047815 34335981 1000000000000000000 472614896 163151915 93115399 340067652 1000000000000000000 707394714 199650511 562738951 534065476 1000000000000000000 935579368 600535092 834833507 593961431 1000000000000000000 387103423 249151060 116816734 322905078 1000000000000000000 776404316 463568591 353879168 727874167 1000000000000000000 608567397 587601690 85154024 297140898 1000000000000000000 12583874 11618909 12191899 7143727 1000000000000000000 729738060 536777508 244928502 273650261 1000000000000000000 376117589 12495720 43248976 348299609 1000000000000000000 425628793 172556829 321532499 332145441 1000000000000000000 921863959 130960419 100388510 766886324 1000000000000000000 157326414 15522844 135945977 125160180 1000000000000000000 374930953 70325030 185685798 362765069 1000000000000000000 671773748 526032240 341852798 219508052 1000000000000000000 213755534 105956190 107536519 183970488 1000000000000000000 230891419 21517657 42113553 229683311 1000000000000000000 631563367 132521046 408199516 551096951 1000000000000000000 293203307 90517967 57888362 42157843 1000000000000000000 786210469 779681802 527576248 159293808 1000000000000000000 416067254 37363435 235129218 198302695 1000000000000000000 744960062 128931201 97108521 292616621 1000000000000000000 589149721 236349084 359483128 117743486 1000000000000000000 576133015 534617211 175844462 564017835 1000000000000000000 23680674 6386083 6110519 10609773 1000000000000000000 559172583 297303125 402171649 239565242 1000000000000000000 201122366 153652177 189673941 129910941 1000000000000000000 419400497 190321354 170203839 68961794 1000000000000000000 343944893 206372027 246237333 78697051 1000000000000000000 99351728 88677878 11841826 71645421 1000000000000000000 189961674 126960390 132564945 181159155 1000000000000000000 672376639 609125457 185482147 625331412 1000000000000000000 778579075 107611168 314208150 88945781 1000000000000000000 74016619 56282540 5695868 7482612 1000000000000000000 981440642 928652929 107519296 50752316 1000000000000000000 330846715 46905543 306051130 265642109 1000000000000000000 682574486 12392272 340632114 318423193 1000000000000000000 150550957 109354889 137447585 52919050 1000000000000000000 797841007 545109460 293070681 602731401 1000000000000000000 866478336 160331887 696868175 401954450 1000000000000000000 984521446 928897020 740447253 318842029 1000000000000000000 398584742 394358835 245686960 91070822 1000000000000000000 540584215 424410135 135981689 171219951 1000000000000000000 839114617 589352427 138021530 77967049 1000000000000000000 141765786 114815870 58975519 96384864 1000000000000000000 41963417 39139432 2431145 41891786 1000000000000000000 799098658 525295531 203015482 627222695 1000000000000000000 997031431 862544485 201265136 178937540 1000000000000000000 114519038 52814564 91564690 53255272 1000000000000000000 671024430 58162926 486833737 158397136 1000000000000000000 452593318 322347720 290803591 419788929 1000000000000000000 394263320 51145490 255014768 9753188 1000000000000000000 922618451 146716842 436169604 262954655 1000000000000000000 681909341 644458641 396966417 207481445 1000000000000000000 763120781 388885159 535061077 197150184 1000000000000000000 426987042 189296003 86893801 338279642 1000000000000000000 803747961 752127335 623697323 380650423 1000000000000000000 514050268 505297466 107030910 489231283 1000000000000000000 333575130 298023484 30553720 139756030 1000000000000000000 33072737 16282883 23693327 16433176 1000000000000000000 113784700 65461307 87599241 2203594 1000000000000000000 262492853 22479955 48329523 41428867 1000000000000000000 906520883 712320336 818559082 521447387 1000000000000000000 835333578 162479379 183990695 5995048 1000000000000000000 303442971 99307142 32675647 172331353 1000000000000000000 890265592 168122260 690956252 51272292 1000000000000000000 281091827 82643306 78612622 116238931 1000000000000000000 104761401 73522534 58890683 7228409 1000000000000000000 575042023 566468864 219015852 419751118 1000000000000000000 717044360 174427397 60902607 308265837 1000000000000000000 901683092 723525914 345536370 751190155 1000000000000000000 434084599 18857431 420884347 66969285 1000000000000000000 827919357 225566053 774148467 122958363 1000000000000000000 265992348 256456544 187959111 73862167 1000000000000000000 840354315 654274921 712616493 544987121 1000000000000000000 64819566 46865287 5550639 2335545 1000000000000000000 176521125 61717055 4835015 117824413 1000000000000000000 912058695 486592307 468350941 497404866 1000000000000000000 275404188 175999411 262264811 66819370 1000000000000000000 297759555 65533968 275355522 105091365 1000000000000000000 286548915 73129889 26222490 185980616 1000000000000000000 281737169 40397739 75905574 55116876 1000000000000000000 326705847 68628228 153513963 37216205 1000000000000000000 272186506 261609256 204788109 236736332 1000000000000000000 997311069 965436005 713316477 156051444 1000000000000000000 375292328 321065405 39230488 105867850 1000000000000000000 269570216 194987638 64581746 162500160 1000000000000000000 886274686 502316559 644150361 386293734 1000000000000000000 882110509 581526184 745026932 304074426 1000000000000000000 415170236 236810492 283968838 92910352 1000000000000000000 568307921 214535457 9383626 303801122 1000000000000000000 854543094 17668738 775869262 480073532 1000000000000000000 773116277 643982374 73518464 409057529 1000000000000000000 628814093 351013045 332662074 386685321 1000000000000000000 537206835 149145761 484318822 482951260 1000000000000000000 68520736 53314258 8643528 49431189 1000000000000000000 693158719 168440502 123352908 611899644 1000000000000000000 777625185 416779905 288375842 446372105 1000000000000000000 3414064 2406089 811687 2043475 1000000000000000000 765947164 309057409 461413161 466008495 1000000000000000000 439416971 251706301 285951549 390732276 1000000000000000000 342350918 182014003 300099740 321823209 1000000000000000000 332632467 92890850 314320676 98781653 1000000000000000000 181353069 72697295 169232903 79115142 1000000000000000000 495882223 144297529 412007678 142895772 1000000000000000000 67058910 64327308 56069147 66868 1000000000000000000 667591699 55676156 650756013 397447713 1000000000000000000 801733430 521403228 160835829 449044151 1000000000000000000 56403680 35556577 32896440 25762856 1000000000000000000 737798028 543540081 569959051 637958593 1000000000000000000 804131615 227983621 449041468 301449535 1000000000000000000 189399976 56193111 60959873 131372910 1000000000000000000 652375478 48479929 431044328 253518315 1000000000000000000 406488073 29837122 183403377 342329725 1000000000000000000 499424984 416141068 408681444 381297563 1000000000000000000 350245802 272528822 172394503 102883021 1000000000000000000 150501351 37623195 63367804 67093111 1000000000000000000 649233710 79032123 162833467 608246617 1000000000000000000 684959022 521025905 254424818 118782582 1000000000000000000 295230799 179145010 92732884 106103593 1000000000000000000 728315418 714239479 332814132 280189946 1000000000000000000 465882376 249705493 317341277 390066773 1000000000000000000 785688061 343502357 573477017 488954709 1000000000000000000 26231765 16450869 4892029 13780817 1000000000000000000 563597009 77789006 150384961 302429718 1000000000000000000 250956681 171222673 211641998 59560584 1000000000000000000 647275726 391036656 54736687 224814920 1000000000000000000 211821313 167107799 119307517 132390821 1000000000000000000 350971264 244838725 219419718 65197356 1000000000000000000 846897048 298740092 667817033 607148316 1000000000000000000 709881846 117351241 705138594 196001935 1000000000000000000 357064589 211278285 206623012 188760928 1000000000000000000 774498734 150852652 313681334 23745767 1000000000000000000 442730015 390432968 366446236 275838423 1000000000000000000 170581409 113764335 42528780 97837146 1000000000000000000 972656185 747539079 202553681 60450315 1000000000000000000 694898003 213546581 60818881 537146132 1000000000000000000 966814183 280901781 184654383 440993405 1000000000000000000 324377136 79538804 88093429 223890492 1000000000000000000 947989588 923733483 139441948 534116486 1000000000000000000 26245515 6913370 25719751 15552971 1000000000000000000 512308414 287062037 486204555 310760929 1000000000000000000 36763056 35567858 6527485 14366312 1000000000000000000 926112177 119161494 640287466 722252662 1000000000000000000 845044566 555376974 573316978 373420169 1000000000000000000 755127655 123118859 257058998 373110637 1000000000000000000 517407176 479848888 517062941 219846528 1000000000000000000 244053173 212083029 155678385 27229833 1000000000000000000 853449923 137774472 58861734 69782215 1000000000000000000 797062304 287099758 397582918 280054356 1000000000000000000 168265431 143362447 97774200 54992499 1000000000000000000 515298730 68833089 431244020 110514617 1000000000000000000 722774586 795592 26178253 255091455 1000000000000000000 36633440 20448774 9988397 18687515 1000000000000000000 810327936 102839247 273121958 250191188 1000000000000000000 426396308 167383743 262099323 408726502 1000000000000000000 418037029 113282656 111396482 58818946 1000000000000000000 599535801 494176089 323628806 40049066 1000000000000000000 157648978 144121758 85267334 139604858 1000000000000000000 882440895 472295039 616027485 423013140 1000000000000000000 184269135 39968893 181029828 85405283 1000000000000000000 217078794 5944187 37612220 118404984 1000000000000000000 189447452 101119741 123269657 120040839 1000000000000000000 148169063 66857567 116976636 118603310 1000000000000000000 86175076 28836777 85517208 41857500 1000000000000000000 72578623 42568209 39679890 16915975 1000000000000000000 656938290 162728226 141414849 483151190 1000000000000000000 652228287 195415257 634949343 457326236 1000000000000000000 896959483 78346194 697112132 493804011 1000000000000000000 442744758 407032991 297631534 10749689 1000000000000000000 165446175 164022434 85168131 34108033 1000000000000000000 793003485 175613837 622447694 135099796 1000000000000000000 926998470 98246874 852357337 873691212 1000000000000000000 532331707 115973444 358350549 216693016 1000000000000000000 319051768 621627 189919319 144319428 1000000000000000000 810032831 239806942 767023176 119064445 1000000000000000000 795861896 377442257 652849076 325425580 1000000000000000000 665898863 85515009 157118984 499231839 1000000000000000000 217751399 104979964 70065580 194428355 1000000000000000000 37747328 14594929 30032823 33907802 1000000000000000000 476096045 455288603 92020401 233373443 1000000000000000000 770309641 178150392 308392354 752128618 1000000000000000000 539132762 354356842 432369345 368047937 1000000000000000000 357521868 49029847 324855148 148018773 1000000000000000000 59290723 30623949 32936199 16753992 1000000000000000000 576622444 216354356 480850093 101355188 1000000000000000000 727923768 22794892 225107329 505265371 1000000000000000000 422789332 277726760 199115160 186612483 1000000000000000000 112447569 42285766 12510251 95143475 1000000000000000000 884861393 523450734 461664098 471880009 1000000000000000000 649009922 177616365 110330532 392280203 1000000000000000000 51465305 7347012 5402131 47411356 1000000000000000000 802077761 368290442 764181143 407637102 1000000000000000000 960789637 536839792 605610137 181921746 1000000000000000000 907258594 531797523 294526586 841833227 1000000000000000000 298843857 225179049 133844709 65085213 1000000000000000000 672304676 316751514 447939745 14270463 1000000000000000000 148678121 131478276 66257492 20783891 1000000000000000000 175301449 97272852 65129984 83725029 1000000000000000000 692921943 162169142 620133171 659951107 1000000000000000000 786579925 36668757 456764622 182169519 1000000000000000000 380566018 46901744 324203162 294747642 1000000000000000000 288143087 47490999 228647060 8661509 1000000000000000000 261045581 39711582 242511849 52573187 1000000000000000000 846192506 379568146 385590400 750767454 1000000000000000000 68009082 38763374 29219205 53269346 1000000000000000000 769170010 417099385 623961612 560483151 1000000000000000000 853408882 384242261 321232093 359448631 1000000000000000000 560473240 208361106 94202668 527993650 1000000000000000000 382780262 367469654 61432460 53442807 1000000000000000000 640721922 89361146 400210267 219650928 1000000000000000000 108371879 100056686 87531710 49801796 1000000000000000000 71940172 26230924 61693577 25758456 1000000000000000000 284678675 266536093 51451805 253114031 1000000000000000000 297195551 19455386 240352108 159357702 1000000000000000000 725462585 383193208 85069575 381518602 1000000000000000000 547564036 304097636 341026201 187698826 1000000000000000000 393801215 39827251 31285017 68150695 1000000000000000000 965105489 961163921 883520871 488873347 1000000000000000000 624838177 142618866 405154929 299441893 1000000000000000000 150942853 14165612 30898700 36253377 1000000000000000000 6611160 6029553 3338810 4258655 1000000000000000000 919035523 491253682 55433500 619607692 1000000000000000000 642924578 266937529 155123462 564020453 1000000000000000000 276368553 68760465 105178653 186222042 1000000000000000000 459761437 451131717 156168784 81198555 1000000000000000000 182825622 95900340 164537709 53155180 1000000000000000000 213691164 24969140 82121972 4519228 1000000000000000000 677291500 581374668 317554501 200977378 1000000000000000000 419193426 329714007 232618250 214142230 1000000000000000000 542179123 464547825 484699409 492110625 1000000000000000000 39912239 8212864 15830087 9792734 1000000000000000000 813777418 231189688 536361007 100272061 1000000000000000000 605335024 174907133 172838583 406518947 1000000000000000000 547499622 2484963 387303247 296486624 1000000000000000000 60109684 41855671 35961645 13528585 1000000000000000000 2837604 1404686 2115406 1152948 1000000000000000000 241833553 152082067 130857385 188804688 1000000000000000000 592002469 352830099 36516395 376989822 1000000000000000000 194612319 36113311 104500424 33905594 1000000000000000000 861652039 351657328 347775249 129962249 1000000000000000000 584896896 198878594 266620325 561163111 1000000000000000000 292647387 22306187 207636563 31846358 1000000000000000000 186399086 176156568 139706859 144769022 1000000000000000000 944405068 156326076 894295087 259652717 1000000000000000000 202288330 164545405 94238033 127779683 1000000000000000000 247262382 21538909 49812307 173403457 1000000000000000000 337859064 289880791 316187065 43940189 1000000000000000000 576241986 287099934 539992474 536885116 1000000000000000000 247989001 208836676 28556027 62703120 1000000000000000000 402832826 84510694 332939649 228695176 1000000000000000000 860071424 490696581 398554490 55804987 1000000000000000000 627068509 533621659 55496796 476988840 1000000000000000000 78994060 22279429 9932473 66582418 1000000000000000000 153770850 14520378 140656668 13097103 1000000000000000000 422942244 342149906 309329041 214881139 1000000000000000000 892536566 22179644 145554216 52506008 1000000000000000000 242593605 20592425 124455124 230148529 1000000000000000000 619413034 574182892 553331597 411891784 1000000000000000000 952397496 695708986 689318410 703232697 1000000000000000000 493020809 492753553 283563584 354846393 1000000000000000000 440099505 251476156 367677327 72042069 1000000000000000000 458252462 155476567 214101886 214613251 1000000000000000000 286318619 106354649 231560284 253733274 1000000000000000000 350370589 134460710 306620398 51035991 1000000000000000000 645304937 36569084 377767759 181870154 1000000000000000000 52942999 35821715 37295323 13407183 1000000000000000000 7881120 6132553 1515460 2518495 1000000000000000000 96965421 26249996 1659388 16308507 1000000000000000000 596713103 91953283 149809360 347415185 1000000000000000000 589230992 286948096 106387792 471287053 1000000000000000000 447681836 445933881 102634732 123549934 1000000000000000000 370889955 179503619 311019141 152740083 1000000000000000000 128503239 100213540 20155216 23973168 1000000000000000000 978793691 204010894 406825322 499340218 1000000000000000000 705271513 304662602 310777312 539324059 1000000000000000000 651083168 212550119 593265906 510593118 1000000000000000000 620018093 110821811 12821029 481525236 1000000000000000000 795985202 662071225 222350826 549175321 1000000000000000000 706753807 139712276 375268439 422754464 1000000000000000000 347362846 330332220 256015629 236045969 1000000000000000000 439217063 138007018 412574988 219201770 1000000000000000000 124327616 22495867 96993319 90889191 1000000000000000000 644708032 159400442 430564339 17424544 1000000000000000000 989358010 238305939 708828097 494672106 1000000000000000000 237504356 37282129 13787979 215036470 1000000000000000000 166320000 35501366 107512058 22597388 1000000000000000000 446750956 190264949 237975016 174914882 1000000000000000000 6481553 1854304 5465017 5842701 1000000000000000000 242770168 16443580 85238616 61397838 1000000000000000000 578875995 130740149 162906031 186577283 1000000000000000000 386029397 18469512 92885184 38960224 1000000000000000000 906660135 387050308 891522618 11349758 1000000000000000000 381935418 257211117 244324274 350770989 1000000000000000000 725194970 543029158 420165422 110258545 1000000000000000000 870698199 816463042 343571187 164188766 1000000000000000000 414337429 200796740 91278286 407365032 1000000000000000000 202514154 62096986 45622609 8442805 1000000000000000000 827883621 135375789 671591312 69003816 1000000000000000000 736769431 616627599 480756863 617568484 1000000000000000000 997037880 870788819 658431685 898732580 1000000000000000000 979170567 401736371 112706556 100462427 1000000000000000000 473628018 164659437 13537018 177143628 1000000000000000000 546027132 359244118 513514957 498491079 1000000000000000000 589051399 193925469 191141287 500834110 1000000000000000000 305000240 157571103 209311694 285548331 1000000000000000000 343606264 35871488 2840679 149292609 1000000000000000000 597362 438652 530219 166919 1000000000000000000 60012949 10422652 16332515 4018232 1000000000000000000 80378086 18633291 36627223 60740490 1000000000000000000 461944056 363824344 443045412 390680853 1000000000000000000 905595432 603120560 166790234 636260028 1000000000000000000 444418824 16274309 29243904 88915736 1000000000000000000 803481315 361574027 235891268 668617967 1000000000000000000 788188970 443825506 533275354 325259696 1000000000000000000 266052555 236355428 148820958 67433389 1000000000000000000 492595676 207720193 413350957 169709898 1000000000000000000 242232971 55100327 61810362 168763342 1000000000000000000 416172232 14745433 352028655 43604450 1000000000000000000 865446549 209089091 576596226 77429850 1000000000000000000 26983839 17449666 752726 4949374 1000000000000000000 251624783 120468339 238543505 201872364 1000000000000000000 351332783 170638650 67828935 287413068 1000000000000000000 925639628 890581549 788030926 737814236 1000000000000000000 399873951 90151583 368117970 376844447 1000000000000000000 928082968 739082724 828306767 32040721 1000000000000000000 859180602 535903246 319427828 266481673 1000000000000000000 192143873 2899322 3355262 47732210 1000000000000000000 728637022 316378532 421036516 26903608 1000000000000000000 959540357 796104754 589548681 387600312 1000000000000000000 325749200 254984418 91061122 243101572 1000000000000000000 662907510 174569060 70178450 613103240 1000000000000000000 781144782 22144597 102636228 264582540 1000000000000000000 582243252 100619650 559495963 467020785 1000000000000000000 942957066 591273955 781777285 592342696 1000000000000000000 939922217 482663091 469502915 86280806 1000000000000000000 623604719 536711532 463662771 41478374 1000000000000000000 287950976 220862667 272785017 38458251 1000000000000000000 488465510 101249260 293680412 330119911 1000000000000000000 405922437 342097320 135715532 261121751 1000000000000000000 896713909 143154496 213519608 73418625 1000000000000000000 668983040 616319508 194057609 472666431 1000000000000000000 226890757 211618311 154814097 1232131 1000000000000000000 312923631 126433912 287452036 41157841 1000000000000000000 715555948 74866603 366186673 546774840 1000000000000000000 578318095 301718970 409134682 21253853 1000000000000000000 56082783 19824224 13356966 8367072 1000000000000000000 543804216 298574511 317545544 236580044 1000000000000000000 451586366 394781277 45195730 356834166 1000000000000000000 620786441 138919112 53352538 300425622 1000000000000000000 220072034 60135595 171417572 136705447 1000000000000000000 529299385 37743999 495878212 213631265 1000000000000000000 322477711 236862940 78734733 266708521 1000000000000000000 736769526 99674023 260726674 736736306 1000000000000000000 985492337 290139072 699678308 47408869 1000000000000000000 854184721 117399477 734691894 696411658 1000000000000000000 263921768 245053461 230433103 227673618 1000000000000000000 786553456 177175353 395602135 31183170 1000000000000000000 942015428 815980751 644084973 351893351 1000000000000000000 436364476 240649688 38456439 434413741 1000000000000000000 957355115 106305824 564279970 318186878 1000000000000000000 749172973 579399538 706205275 255059818 1000000000000000000 738328797 516054541 335728534 617101876 1000000000000000000 288546272 44536945 91688200 149069110 1000000000000000000 967199993 544410580 352210730 259798910 1000000000000000000 115155401 67089522 56079734 102091199 1000000000000000000 725417711 522832879 14574095 176754213 1000000000000000000 25896952 24374353 22654204 9715541 1000000000000000000 808079663 749225531 44605784 344993702 1000000000000000000 41556042 41468984 28093267 27707737 1000000000000000000 117785790 35587036 94028794 100392468 1000000000000000000 96434444 77258195 26490834 41917122 1000000000000000000 123251108 19220433 1697661 16014121 1000000000000000000 821306355 810391547 2069113 676400309 1000000000000000000 733242206 452455807 410635052 722899798 1000000000000000000 634240641 531942206 624588316 537914325 1000000000000000000 763489338 429632457 206755714 489079245 1000000000000000000 43065760 21319104 3972274 37058254 1000000000000000000 833134673 732557536 566963391 570550281 1000000000000000000 713256797 598050748 655760428 472786876 1000000000000000000 282353094 79954634 20977170 155926965 1000000000000000000 332122005 91588896 159154083 179591229 1000000000000000000 52935799 43562104 37333386 46672623 1000000000000000000 937427360 693913699 485266522 446956715 1000000000000000000 327654782 267721697 43208198 142941643 1000000000000000000 963142369 521729897 765387129 100108546 1000000000000000000 891965610 307093066 707741768 536663221 1000000000000000000 754214488 73460056 146603210 109689039 1000000000000000000 955149171 337634379 626431841 178306399 1000000000000000000 653037429 50129670 593110420 452104200 1000000000000000000 295169470 174957624 45076797 64641069 1000000000000000000 458884687 132649553 36230087 365138338 1000000000000000000 801476094 556616109 543655948 589334773 1000000000000000000 836003719 610760037 219037997 408006857 1000000000000000000 97494175 17478764 45299172 90051219 1000000000000000000 194627281 120673881 42688329 11032331 1000000000000000000 950827710 114500295 26276225 254017002 1000000000000000000 748743829 660412952 456597124 159833979 1000000000000000000 243480671 145010685 237964565 105307727 1000000000000000000 187934644 169619798 148120782 178008786 1000000000000000000 221281504 109116722 98097080 200909845 1000000000000000000 453375765 392213872 138565642 396976541 1000000000000000000 392916441 64618699 221118506 209888793 1000000000000000000 52012739 39855811 13111531 24343287 1000000000000000000 144857857 41794307 89490996 113363352 1000000000000000000 316730715 281469162 242128972 194716550 1000000000000000000 104211193 41959700 96565999 41597609 1000000000000000000 247305555 196219376 56332800 179748032 1000000000000000000 414390326 341550531 211410567 393991591 1000000000000000000 921502714 45382731 325287902 589316511 1000000000000000000 714945628 328394555 468739740 618301274 1000000000000000000 620246603 510259843 310758055 309658084 1000000000000000000 207169720 88080390 113528447 171072747 1000000000000000000 803497852 129616888 431362439 405652760 1000000000000000000 721771649 312327129 44545203 140100766 1000000000000000000 915007745 100867077 830952060 184091591 1000000000000000000 636055955 513762984 533667736 536294018 1000000000000000000 287974478 49483606 253552591 154311763 1000000000000000000 806315316 201455034 175356867 679360916 1000000000000000000 338199564 165631614 89091824 55517856 1000000000000000000 817644639 773466692 107038438 424400656 1000000000000000000 146133578 56208898 76557749 60660005 1000000000000000000 304154856 20126224 14064377 180021940 1000000000000000000 366484890 218265535 218349752 106837892 1000000000000000000 944308618 548408063 337566367 580601718 1000000000000000000 718933289 159133422 435072881 700380623 1000000000000000000 745788935 698307390 550540295 538615281 1000000000000000000 380127671 239309423 341090782 115855398 1000000000000000000 706147792 129420860 516863523 644372108 1000000000000000000 59181555 56499502 18450706 58907081 1000000000000000000 535739953 143002958 424064765 508041259 1000000000000000000 170587216 53164975 117767115 106241338 1000000000000000000 144503423 130290858 97053161 70435936 1000000000000000000 39362911 31977060 12239639 30281544 1000000000000000000 765649338 171978706 278520722 614532070 1000000000000000000 974833113 723405914 715093066 728644488 1000000000000000000 976428178 268239009 230321984 624296113 1000000000000000000 308070955 44980260 25761955 153257686 1000000000000000000 539690368 149053234 171795619 191202654 1000000000000000000 351002641 299147479 329434802 85460253 1000000000000000000 995229640 776024540 836878156 335392934 1000000000000000000 98554847 32981603 92022506 19338766 1000000000000000000 106937468 9794928 31599458 82640304 1000000000000000000 979169517 712308318 727784011 901145071 1000000000000000000 996543899 397576078 513180641 456318062 1000000000000000000 680950795 424905413 324500250 249716816 1000000000000000000 90038271 10300862 42672489 71305256 1000000000000000000 654474794 54162299 252028023 351126910 1000000000000000000 261268488 260989549 146565342 218637252 1000000000000000000 588479730 509371990 542213491 558997935 1000000000000000000 964677777 584461665 746036317 477111577 1000000000000000000 305612449 44441683 297235599 82632416 1000000000000000000 733697882 42550902 693025323 638547197 1000000000000000000 10791436 9972959 2624924 5149752 1000000000000000000 4213065 3179973 1754771 196881 1000000000000000000 761841481 208318819 107888775 533791622 1000000000000000000 949764275 22527036 107711172 233013567 1000000000000000000 281517682 220591479 278619181 102451972 1000000000000000000 510348341 191677836 398841232 245888900 1000000000000000000 590797680 555035597 293554209 452358145 1000000000000000000 200088528 25718238 46355704 39059236 1000000000000000000 19483062 6461250 17508954 4843 1000000000000000000 155191513 128656317 99326922 102456072 1000000000000000000 604138692 578195720 137748680 598893839 1000000000000000000 706035470 216864132 58999450 652570130 1000000000000000000 474975549 460256156 108905836 399889656 1000000000000000000 301007047 277575264 80096359 163568130 1000000000000000000 311239275 267138731 225951830 201534556 1000000000000000000 665958958 126006313 616046713 582667440 1000000000000000000 430722792 106339663 298958621 149975377 1000000000000000000 171631280 125817372 15502695 134000282 1000000000000000000 250111914 97429306 147456460 42960688 1000000000000000000 195105817 95166667 68472182 55607686 1000000000000000000 211932142 92748950 177888785 14615717 1000000000000000000 616794127 609927018 176959567 86977285 1000000000000000000 956966226 757521892 264213954 720858530 1000000000000000000 739020884 386962927 133419434 255590527 1000000000000000000 295638042 81880084 168445205 125463985 1000000000000000000 878449573 360646104 719488698 145840971 1000000000000000000 545847288 221900440 156311432 472646815 1000000000000000000 449629415 198862497 177825787 293884167 1000000000000000000 207280352 139231511 114904760 116528167 1000000000000000000 867617340 555107782 292116793 394924472 1000000000000000000 835388128 572938241 745992719 261648783 1000000000000000000 727111191 659264570 292154443 581008232 1000000000000000000 799770582 78971692 462787535 619401030 1000000000000000000 766021492 18380393 102956568 478812732 1000000000000000000 876249088 180692565 617915432 421422276 1000000000000000000 225407336 114678817 105583311 200306471 1000000000000000000 411425676 69766452 231545256 86044391 1000000000000000000 685275204 634578213 476756511 37394448 1000000000000000000 502209862 171535790 290643030 498004733 1000000000000000000 646156321 31958731 604084121 124430721 1000000000000000000 183620875 55086957 89156057 70352064 1000000000000000000 40758394 22955156 4891217 16811448 1000000000000000000 618113302 400752433 281693506 111409814 1000000000000000000 803016716 104604957 736484180 353887144 1000000000000000000 322081241 152024311 165107401 310587136 1000000000000000000 215783070 130133350 37410915 134963999 1000000000000000000 704707865 164347909 688475994 99600866 1000000000000000000 101303985 7209259 69099765 76879275 1000000000000000000 314449567 194305293 286606570 261551767 1000000000000000000 751452953 86072028 370382644 662125409 1000000000000000000 64589189 11979091 47976599 2005662 1000000000000000000 613982187 377528865 342328308 103694915 1000000000000000000 927769854 372321744 659218357 124790758 1000000000000000000 818316079 163324836 643659505 128980306 1000000000000000000 704235094 195695348 611612365 349835136 1000000000000000000 956281623 430254068 532603146 490760905 1000000000000000000 54576464 26270508 50775306 53394531 1000000000000000000 145760577 134836931 14563073 11134241 1000000000000000000 166531788 105062831 161024492 87116762 1000000000000000000 402882366 152907207 94894286 100628747 1000000000000000000 260750971 80711951 77428322 89339543 1000000000000000000 654943551 107657893 123148526 634956088 1000000000000000000 978365351 605776532 281611829 670931077 1000000000000000000 27970543 23238327 890208 3823962 1000000000000000000 734969053 683801308 102730073 511773099 1000000000000000000 983102037 68367886 25190840 634698182 1000000000000000000 999012090 237385855 38637347 974084676 1000000000000000000 18207390 3236554 11875988 2485422 1000000000000000000 773422637 484815382 730627010 336862673 1000000000000000000 519853133 403227632 84944127 392118575 1000000000000000000 333267180 142208230 26060535 120422798 1000000000000000000 250666004 26947642 24549639 216992568 1000000000000000000 235262547 89358813 181537111 74292097 1000000000000000000 350798284 85469552 208151414 31991011 1000000000000000000 149619524 134727970 131677583 131420221 1000000000000000000 866991684 267944913 43056460 325641179 1000000000000000000 319676972 150250278 117341276 190630219 1000000000000000000 105558043 21319676 6048074 8373394 1000000000000000000 206718533 180733614 74615521 111920606 1000000000000000000 346338863 134205989 262400587 61912723 1000000000000000000 17021134 2692187 16289333 10717463 1000000000000000000 239976494 129277489 78112132 102465439 1000000000000000000 965711664 762045407 458268538 758021753 1000000000000000000 743360749 55919883 580623566 731625224 1000000000000000000 838907160 571465615 776283488 16898408 1000000000000000000 741335607 471389898 45187909 48468369 1000000000000000000 125035965 16742590 18283008 124039174 1000000000000000000 54405768 15015343 7797941 35034299 1000000000000000000 782756887 399432446 751209924 635133451 1000000000000000000 139899074 2333526 108756424 77282514 1000000000000000000 369667236 130413654 34226035 299304761 1000000000000000000 610095110 536239353 374493832 108042908 1000000000000000000 432395912 95424408 213766485 376219775 1000000000000000000 242680727 6219977 89673267 123436231 1000000000000000000 30401792 28111856 11266039 21884381 1000000000000000000 869202906 55459754 37385342 196487898 1000000000000000000 713372712 298453266 680149493 264549769 1000000000000000000 620558092 277967650 440078900 52718904 1000000000000000000 969905244 651437097 306217137 444267680 1000000000000000000 188590509 146381861 50222476 62477357 1000000000000000000 542224079 63585599 292634130 356027969 1000000000000000000 320267886 102447539 309404846 113673377 1000000000000000000 809252761 277516397 489015847 6744732 1000000000000000000 388362674 115752773 371198856 144247368 1000000000000000000 669229862 399290519 316677492 151877096 1000000000000000000 274104926 177741433 141632180 269917292 1000000000000000000 201367147 15737368 90389974 173696729 1000000000000000000 922732077 554618456 631985901 102843238 1000000000000000000 485610499 148921726 214195000 424489222 1000000000000000000 680733293 435427743 391292931 126156431 1000000000000000000 222179570 64180341 211370749 155091834 1000000000000000000 341746353 130733365 252893225 218929051 1000000000000000000 766196810 435104554 736293732 228928479 1000000000000000000 770474840 357622348 465833074 380756399 1000000000000000000 566817188 211816493 362004997 154496219 1000000000000000000 456197438 102256913 210665074 25577048 1000000000000000000 332164945 164419387 18217482 116265544 1000000000000000000 676768830 412326486 231480905 627002319 1000000000000000000 22989129 12161257 6467633 281823 1000000000000000000 536443753 41814417 65560524 71297105 1000000000000000000 123012751 2381403 93705381 74709774 1000000000000000000 247638635 190518285 62169027 68023288 1000000000000000000 490747655 282400551 65385548 241683341 1000000000000000000 593889862 431678870 150465460 351877168 1000000000000000000 667685154 160482208 37625340 530489803 1000000000000000000 650738143 568463331 10810117 446665392 1000000000000000000 586948403 197092905 50709719 245495768 1000000000000000000 455575373 42115156 23923739 368326648 1000000000000000000 301105881 11719541 25314847 127058480 1000000000000000000 610061176 104070267 76121585 86697471 1000000000000000000 612812569 250243023 310137562 377382274 1000000000000000000 785929748 234021240 518162316 42430251 1000000000000000000 398248297 201192066 227641883 371170959 1000000000000000000 347886021 311675448 312794465 129030814 1000000000000000000 157582535 148290851 23669702 16117550 1000000000000000000 426799854 40087571 77990704 336587608 1000000000000000000 459581298 293105173 175344300 230882633 1000000000000000000 279430443 206619757 85681697 194477376 1000000000000000000 431601867 51376610 319938496 326351177 1000000000000000000 427693706 351755349 78766210 60716214 1000000000000000000 387974162 252788029 41033880 200122470 1000000000000000000 85071643 29842276 40418441 31341818 1000000000000000000 997641166 167320766 762609857 743785523 1000000000000000000 536148573 289855209 233489418 139969829 1000000000000000000 493383602 216539961 26285857 27049738 1000000000000000000 800721109 108802540 269036905 265643040 1000000000000000000 942630385 782220855 622807962 424123648 1000000000000000000 323740902 280393221 267932063 103219410 1000000000000000000 486624450 342177116 63863483 477306974 1000000000000000000 900974540 561566913 72290990 735958106 1000000000000000000 545110957 239598483 288626242 507307777 1000000000000000000 891566070 696021084 284812714 480373039 1000000000000000000 34430094 26981700 11520270 12176939 1000000000000000000 576038480 378770365 487770526 63774820 1000000000000000000 177949695 76414030 86669023 37322730 1000000000000000000 482753772 332152687 314194992 73251459 1000000000000000000 160677583 24881690 97993197 7266017 1000000000000000000 132452237 69579348 61871056 512985 1000000000000000000 261809 219600 19668 123941 1000000000000000000 994696023 264157837 267266407 721745780 1000000000000000000 600709120 241274720 118985183 52810391 1000000000000000000 274995102 152339625 94752895 150577783 1000000000000000000 339038706 58944052 175035572 41388161 1000000000000000000 58741884 53908568 31019043 8898673 1000000000000000000 453715878 196522116 202623111 258508856 1000000000000000000 860452502 431047907 289791846 375438315 1000000000000000000 973381000 586210438 95427727 396415641 1000000000000000000 546470292 456788961 458338463 207477536 1000000000000000000 594972260 368181723 302104896 579285123 1000000000000000000 336552150 48826480 316929516 303944273 1000000000000000000 228005779 32028246 136059971 218925887 1000000000000000000 456133054 391764718 42572306 304279032 1000000000000000000 951858923 241540395 238162715 927509742 1000000000000000000 698204080 364339268 36452735 598000446 1000000000000000000 72558420 208044 68028897 16474920 1000000000000000000 181074304 131829039 157784005 28446469 1000000000000000000 299977976 65038970 143778651 173907390 1000000000000000000 781071053 444442580 16390723 733122874 1000000000000000000 572986291 523525243 268183204 137788042 1000000000000000000 99498394 63506103 32190250 24300047 1000000000000000000 782907342 509739799 520855173 378103589 1000000000000000000 343836650 124918162 296157218 244655477 1000000000000000000 991747959 616576544 155659889 479598388 1000000000000000000 981555164 2251208 845141792 698038545 1000000000000000000 63741372 6296064 33833702 6018889 1000000000000000000 822266615 426891725 38722885 385191039 1000000000000000000 36641586 8834454 14757131 36396683 1000000000000000000 807596227 507637313 489318214 237362929 1000000000000000000 865807729 201489924 732767932 245589947 1000000000000000000 845849066 464561748 73619430 691636210 1000000000000000000 277682951 273208151 73057292 40553091 1000000000000000000 605489327 441845007 4602738 321565468 1000000000000000000 600680889 288984748 19695992 159588175 1000000000000000000 924637938 246427062 543645691 316846663 1000000000000000000 364128357 186633471 302417004 60902972 1000000000000000000 882376926 701299873 80557166 461907880 1000000000000000000 441648294 140130351 368984170 352250899 1000000000000000000 541482236 274179608 322757465 537086651 1000000000000000000 842118713 756351064 16632202 641062629 1000000000000000000 903051050 268514984 571298197 37802514 1000000000000000000 834014777 397154721 246423153 366815985 1000000000000000000 422109923 251492461 345511344 36150421 1000000000000000000 965714433 443637003 10920882 917433217 1000000000000000000 768760401 497434148 464202951 260383696 1000000000000000000 279485173 76794972 226947627 9302423 1000000000000000000 723862358 704995162 339910957 384110882 1000000000000000000 81798015 59161785 63883881 24877370 1000000000000000000 971220587 813113969 400580231 882310827 1000000000000000000 125448312 106147293 102575776 69529109 1000000000000000000 883069247 141109381 388625973 522230541 1000000000000000000 928517577 924591797 318515648 703327801 1000000000000000000 332743864 34673713 127128019 227418795 1000000000000000000 803961047 30935022 181111726 755394675 1000000000000000000 371944751 320402335 280027594 132686432 1000000000000000000 518429472 39498538 90342229 356345420 1000000000000000000 710589905 55556985 207617685 420324936 1000000000000000000 405849191 360544845 153970860 76197843 1000000000000000000 523122159 171128023 381394688 84616988 1000000000000000000 920103083 621641855 361301458 352609267 1000000000000000000 505996218 122963394 132362688 395781136 1000000000000000000 294443083 124078735 102183896 95670935 1000000000000000000 279855839 243765737 103296952 79826991 1000000000000000000 237932802 189534853 48143150 215997963 1000000000000000000 138326934 7796349 63009006 14011972 1000000000000000000 825935889 336986050 808398431 743436234 1000000000000000000 535621219 377255606 165457300 125430962 1000000000000000000 850785249 290288480 794010642 421484244 1000000000000000000 483376955 17404328 413663164 169726947 1000000000000000000 978132314 359006403 954745338 27115064 1000000000000000000 877622579 102539762 584257004 234025978 1000000000000000000 35515594 27907832 26190171 6572529 1000000000000000000 133240869 7396478 39929293 67585802 1000000000000000000 516278918 138731165 33895279 10556786 1000000000000000000 304488766 122065685 194114127 282883211 1000000000000000000 495530086 113746504 317963110 458668333 1000000000000000000 465743519 65424769 64881347 320409997 1000000000000000000 613252479 541191569 311032700 130506666 1000000000000000000 150383393 76772021 27176440 33279890 1000000000000000000 759885590 721943781 148238643 51386541 1000000000000000000 427764619 359681207 134009165 258193210 1000000000000000000 788532517 20881649 400274685 496201998 1000000000000000000 427138609 7909774 337284381 129219135 1000000000000000000 351309100 108025133 344640530 298069218 1000000000000000000 266796615 126249252 47411127 74951605 1000000000000000000 594797151 565992271 558516684 422459211 1000000000000000000 493626813 280129488 294569160 420670389 1000000000000000000 963425831 721071038 135210778 182927802 1000000000000000000 884871985 415568409 511153153 753802200 1000000000000000000 138269868 17714699 18492170 4596124 1000000000000000000 18085098 17965504 5479036 13538630 1000000000000000000 154839637 67464870 49916911 36222617 1000000000000000000 338217114 310660907 85700656 261711562 1000000000000000000 483883219 43678659 142883794 357632166 1000000000000000000 712991283 73834048 110440544 476278348 1000000000000000000 944751254 35099857 692313662 759033682 1000000000000000000 686814423 62357222 95525180 403710391 1000000000000000000 429329668 300562502 298521685 262336160 1000000000000000000 757879317 565008534 177894744 640022613 1000000000000000000 839853662 511306376 532495069 130633107 1000000000000000000 383199736 2154239 10549304 176080301 1000000000000000000 991711539 773818863 407444557 289985933 1000000000000000000 208980347 129074011 90234347 96357884 1000000000000000000 303850870 153898196 582308 219047080 1000000000000000000 5218506 4587982 4877058 106602 1000000000000000000 538719293 7781728 320320903 211841407 1000000000000000000 819459981 188521174 225021423 605061347 1000000000000000000 655708449 7144652 568472371 578771417 1000000000000000000 693442378 507001322 61677202 93692088 1000000000000000000 691230629 658811517 110675522 647189369 1000000000000000000 223843749 31529447 159989237 23112909 1000000000000000000 14906229 11661638 8648751 7495798 1000000000000000000 593199706 371803149 284270172 205704988 1000000000000000000 807368824 475980294 599588510 774727342 1000000000000000000 864956280 530917544 41915205 237891236 1000000000000000000 883523415 160196910 674834179 458446392 1000000000000000000 880218905 839033292 682400526 229788165 1000000000000000000 832163864 422884835 563393770 145292530 1000000000000000000 714440218 535755067 581333925 571306033 1000000000000000000 840321001 617117336 597609552 48680165 1000000000000000000 21081975 5242308 7048234 10063635 1000000000000000000 179935825 113030984 101963306 139559181 1000000000000000000 564414384 360011651 474252153 151749153 1000000000000000000 57251160 40696793 32516723 32670022 1000000000000000000 738338327 333716459 7337193 638526312 1000000000000000000 815788586 202656418 339498653 613597923 1000000000000000000 694151538 253251438 247324313 486642370 1000000000000000000 411929823 322211929 229040753 295141272 1000000000000000000 564217816 243272428 303143709 440651710 1000000000000000000 731266218 722087607 198965238 387851237 1000000000000000000 733078233 134039308 550441246 59811652 1000000000000000000 336961012 130948038 119584515 331564303 1000000000000000000 905758112 89780135 728207383 462231955 1000000000000000000 856108613 293543195 150525932 631637463 1000000000000000000 739318542 381523319 257695487 37646396 1000000000000000000 530668778 238713137 483930525 219443698 1000000000000000000 805134648 7263062 596860341 229492679 1000000000000000000 398574680 359667259 384442493 298227889 1000000000000000000 792033317 4664504 123751908 405526111 1000000000000000000 566925986 251783494 298170201 286028483 1000000000000000000 380442719 82364059 45666135 87109148 1000000000000000000 778160499 418661617 313173897 196872521 1000000000000000000 148844984 1216028 100010412 4932037 1000000000000000000 420965072 234445615 86266977 155250498 1000000000000000000 156630114 1114780 76276753 125749231 1000000000000000000 243200077 215794019 19116479 77997380 1000000000000000000 972699582 59904123 455199224 247351518 1000000000000000000 991759619 545671826 362122880 820207687 1000000000000000000 25487550 17098420 23806926 23568539 1000000000000000000 986791101 412351375 738539215 342200425 1000000000000000000 6058893 721671 3269612 170560 1000000000000000000 507685028 344144892 220979700 277393601 1000000000000000000 418577799 164426830 63266409 347573508 1000000000000000000 475652 297611 16970 15351 1000000000000000000 480066895 40778035 159959880 358347503 1000000000000000000 514437248 246064304 436084619 338475349 1000000000000000000 787501815 365835509 303812359 161741564 1000000000000000000 271652214 224678954 271141704 60917890 1000000000000000000 110561257 96330878 62951566 101264087 1000000000000000000 759607350 150222488 473750174 747319209 1000000000000000000 663201969 18000950 379963270 374163058 1000000000000000000 975057682 164138114 245583571 184584887 1000000000000000000 879498160 722140370 328007904 5446304 1000000000000000000 134350666 123945736 128606626 54034943 1000000000000000000 804304846 624392153 354672976 733752036 1000000000000000000 298700618 22573459 4647155 256085261 1000000000000000000 488909381 474782412 97751658 161128071 1000000000000000000 27745868 22894367 16194446 22234680 1000000000000000000 794324292 127313369 750684315 1954839 1000000000000000000 445435697 327960287 170747302 266533188 1000000000000000000 700292057 266764209 144687800 251162407 1000000000000000000 452410717 302906975 335608071 204303694 1000000000000000000 505769846 174326834 239859298 172500107 1000000000000000000 519355082 428702195 429045879 382824966 1000000000000000000 407054432 370657880 177724006 379791779 1000000000000000000 786250444 457832474 71307600 106993581 1000000000000000000 766362473 526245214 525742905 40829117 1000000000000000000 548325393 496868744 401025189 83155700 1000000000000000000 72112825 20860064 35488474 50794695 1000000000000000000 814873652 728928768 577574249 709969324 1000000000000000000 659190110 271569256 307205839 124130630 1000000000000000000 751080000 423019818 309844973 580516392 1000000000000000000 91155865 15022815 57857010 12171104 1000000000000000000 620337055 532652333 500917311 524524640 1000000000000000000 423361177 411555785 128919269 1820620 1000000000000000000 971457780 682688051 201425193 160330115 1000000000000000000 705811173 510811987 463246824 90523482 1000000000000000000 347115586 120052886 240145412 267068082 1000000000000000000 186091219 182063204 163267929 130509507 1000000000000000000 62229902 35955847 5354994 36343984 1000000000000000000 336641946 316269930 19757128 29337695 1000000000000000000 389891846 294768806 27820240 292113028 1000000000000000000 566681314 530262460 502860638 313046916 1000000000000000000 428645695 67782695 5637143 268796696 1000000000000000000 638263793 187027875 355735887 510594041 1000000000000000000 436064769 193654176 305111394 78796124 1000000000000000000 601844892 26853782 76566333 221996782 1000000000000000000 335747974 21750208 96392438 325855510 1000000000000000000 493729616 225953195 308566058 316977071 1000000000000000000 36681003 10059883 24225796 20850172 1000000000000000000 383226568 376294759 209506596 21585179 1000000000000000000 466932046 164071740 145684613 70298514 1000000000000000000 425870693 418020905 168600355 5895309 1000000000000000000 89205220 28571897 29286703 27267484 1000000000000000000 932396181 627384858 849198522 348494364 1000000000000000000 930502749 725628450 441259484 317520223 1000000000000000000 28599021 16549351 6273610 25952093 1000000000000000000 663118585 516475543 454449379 548145231 1000000000000000000 574395414 522981249 160232970 401967961 1000000000000000000 206361761 114075440 198622589 109298110 1000000000000000000 104407795 17020040 22529491 69423453 1000000000000000000 390994494 48032198 165701860 145375286 1000000000000000000 689976556 626390990 630984688 7066676 1000000000000000000 865183096 718225512 272820641 277435305 1000000000000000000 68586107 53454018 11995019 42022892 1000000000000000000 213442551 70236159 144186563 169361785 1000000000000000000 767422533 258702359 688291898 309435433 1000000000000000000 913425461 741457826 585159349 669794029 1000000000000000000 575031230 528631304 221254159 319185075 1000000000000000000 98751884 84771227 38878489 71724146 1000000000000000000 631094381 36820004 536336463 398574593 1000000000000000000 76257883 65406633 29007926 17916837 1000000000000000000 319587194 178302228 122806603 187063409 1000000000000000000 774288403 289860090 535506257 509174915 1000000000000000000 552067224 136904872 287955195 478642203 1000000000000000000 191355431 46194578 121517907 7622299 1000000000000000000 633887403 629306070 293032255 174828982 1000000000000000000 426007373 58807293 138978538 204889135 1000000000000000000 559067176 270226414 325580116 46824947 1000000000000000000 337165538 165679442 195251680 54659041 1000000000000000000 569314960 204017907 310434486 16036688 1000000000000000000 522272658 183588571 283597219 481895531 1000000000000000000 150710873 14676963 71330225 90905281 1000000000000000000 855224958 363943448 539548189 577501808 1000000000000000000 913542650 816901797 196079055 738859103 1000000000000000000 675444422 533254772 272398849 541578611 1000000000000000000 780356414 404256245 546682750 275367054 1000000000000000000 347340255 135040793 284609887 110564491 1000000000000000000 66901763 40622291 21511715 59802500 1000000000000000000 916156766 612863332 296156450 794700530 1000000000000000000 101995338 13104462 50580940 80989831 1000000000000000000 285228389 99560055 24983557 109795302 1000000000000000000 552115905 13967575 302427242 118262543 1000000000000000000 725475270 724760102 488560042 191329250 1000000000000000000 527296255 409527412 189140253 352836189 1000000000000000000 115302310 55396815 98487546 114953332 1000000000000000000 280664311 54152748 140828379 194473605 1000000000000000000 733514176 714873066 389813390 30638186 1000000000000000000 368067674 113101452 3494160 308109501 1000000000000000000 258141853 15758333 207131424 79237628 1000000000000000000 122070597 97516312 2280601 21920151 1000000000000000000 740592570 54101216 439553457 686814201 1000000000000000000 499264569 280917314 299543674 137386538 1000000000000000000 58620010 39969351 35972905 231942 1000000000000000000 42524429 35684868 41764560 12763012 1000000000000000000 509975574 190176289 359322686 53381985 1000000000000000000 628218253 2593655 260987094 393908394 1000000000000000000 736683216 286190311 250768920 307574811 1000000000000000000 997691650 205931261 419691233 416574506 1000000000000000000 547832962 120973809 70813545 385621742 1000000000000000000 135804347 9653402 60654786 135767558 1000000000000000000 413014512 180080441 127392400 239907976 1000000000000000000 136840269 66881495 66906824 70643933 1000000000000000000 951452109 901466751 393571270 345585817 1000000000000000000 115470673 1224991 57735648 41492138 1000000000000000000 633760696 437330586 188434933 460185223 1000000000000000000 235991396 121904521 193673220 216278014 1000000000000000000 294995357 215084672 210626225 41315591 1000000000000000000 257075047 219473774 10242166 8500287 1000000000000000000 241536167 193444235 61003666 140256374 1000000000000000000 649008761 464596663 300574282 604686016 1000000000000000000 702857169 620980952 537674480 686223193 1000000000000000000 28826343 8173551 21005555 22513225 1000000000000000000 280851006 95874103 150649525 76349729 1000000000000000000 931548810 557827959 588738573 745265269 1000000000000000000 271679135 247188792 102729697 89810024 1000000000000000000 509087484 388665533 342446714 436761743 1000000000000000000 40423661 17539950 25098475 18938896 1000000000000000000 387065387 38950765 331506638 244279241 1000000000000000000 458673927 108419839 422997297 377997003 1000000000000000000 437066511 376139879 96588653 311998667 1000000000000000000 200638363 509203 105312120 22228988 1000000000000000000 990707721 831215036 964292114 230032556 1000000000000000000 459092719 128478315 231733860 457395065 1000000000000000000 62237906 5352960 35391765 5414721 1000000000000000000 727147866 270383918 547380496 558974700 1000000000000000000 494992055 445938686 166809351 43911911 1000000000000000000 456774947 242661804 224051456 432702679 1000000000000000000 613587994 195550234 51652654 231041176 1000000000000000000 74541621 4738026 33809028 68253764 1000000000000000000 653647500 48437396 461837411 497429661 1000000000000000000 363729519 14921969 330387757 324927391 1000000000000000000 8656887 6582551 3804164 5974539 1000000000000000000 358928082 128136747 15046139 298205657 1000000000000000000 318891502 88151369 31753180 289337887 1000000000000000000 531974359 474919742 231496465 500642609 1000000000000000000 468877062 190107200 339989567 413278981 1000000000000000000 485091415 439564556 426259899 52604864 1000000000000000000 394615099 319439028 284644992 174880995 1000000000000000000 392293664 118531932 22741371 38566475 1000000000000000000 569021795 288484234 12920202 438705756 1000000000000000000 72889893 9502218 37350694 40576046 1000000000000000000 948835702 12822422 551588561 650793165 1000000000000000000 239173318 11060801 58571336 214452268 1000000000000000000 928983795 804883139 532224302 494377050 1000000000000000000 93588363 54025141 83023341 32888451 1000000000000000000 517157236 478411116 211340423 4949169 1000000000000000000 467817509 257654614 58906637 184557047 1000000000000000000 690907367 634966146 669166247 321632710 1000000000000000000 696171689 625762304 166380785 629804448 1000000000000000000 447219677 211513352 140927333 229564513 1000000000000000000 332160683 300083071 330830434 219967384 1000000000000000000 263833611 168109552 192493357 239450616 1000000000000000000 679888517 83190019 613644388 2758084 1000000000000000000 115615172 87731608 2929785 82945700 1000000000000000000 471799474 333570940 424798982 70106445 1000000000000000000 197515444 88274967 101996151 172105047 1000000000000000000 655820659 359689822 154458818 487117298 1000000000000000000 208299687 157074109 67455324 27720963 1000000000000000000 936346478 660401414 785294007 663645513 1000000000000000000 749733170 424014932 372362716 26597957 1000000000000000000 22653260 8839937 2370455 19132772 1000000000000000000 349375089 282026400 250130209 95642938 1000000000000000000 119077611 89504329 88547754 62322641 1000000000000000000 476811154 402959639 343269309 468465623 1000000000000000000 5653078 1611304 3881365 1836661 1000000000000000000 603300823 105176059 582604546 190776356 1000000000000000000 305644755 246804840 260938547 188913264 1000000000000000000 275764102 254641080 98266846 124852619 1000000000000000000 848349144 493444210 39145114 612280967 1000000000000000000 518721968 277888880 106974089 58429649 1000000000000000000 26113287 16820888 12153704 10397426 1000000000000000000 383171340 68569731 43793776 29451267 1000000000000000000 515280507 84851908 231479937 153840023 1000000000000000000 75249765 58771120 5871264 67196821 1000000000000000000 33963643 26331069 14731820 32058346 1000000000000000000 239993466 188083404 228800674 80281054 1000000000000000000 678690573 256625268 7706448 388937284 1000000000000000000 949089694 935177772 668323667 731981776 1000000000000000000 748848829 303399544 266487242 600599072 1000000000000000000 683686786 455590835 151034826 255915472 1000000000000000000 715333197 79920421 564447228 443471001 1000000000000000000 662295897 404261359 489389181 393519808 1000000000000000000 423789958 421460362 17946167 53562993 1000000000000000000 360049166 44232127 64657685 155795341 1000000000000000000 794822742 86184367 65996205 39958611 1000000000000000000 312294237 271987073 84061012 290319342 1000000000000000000 465238315 364642085 113919928 258743375 1000000000000000000 148070233 535166 110005474 146627616 1000000000000000000 331041586 162177689 301793287 92658278 1000000000000000000 370626252 10847852 367760894 9711443 1000000000000000000 335499845 97642451 175643932 21782533 1000000000000000000 829788490 178724873 379722945 614694764 1000000000000000000 169600548 87356030 151571626 5913545 1000000000000000000 837714939 785879449 489973100 295843541 1000000000000000000 615677559 528925644 285841933 78067698 1000000000000000000 568008090 5106869 383085860 56390745 1000000000000000000 8179908 483199 5734573 4274762 1000000000000000000 751621985 99901951 459386031 160258785 1000000000000000000 566879118 404851865 251410977 566656982 1000000000000000000 925691822 215962552 792787680 409267337 1000000000000000000 268787446 219501070 148970984 7758088 1000000000000000000 173874301 173526076 6421944 55661491 1000000000000000000 242681618 202085376 91116668 75307491 1000000000000000000 779856341 562686318 264965034 290744254 1000000000000000000 460914120 354416179 283330773 273606069 1000000000000000000 515905258 203906742 37850671 422273493 1000000000000000000 613350309 258138439 524160192 269289565 1000000000000000000 961894842 537168745 198398570 204633897 1000000000000000000 653857827 168090826 225597723 227130485 1000000000000000000 938225185 167082286 53317391 513989595 1000000000000000000 226235749 142096748 88549366 103483312 1000000000000000000 267238475 229639282 129871131 233428914 1000000000000000000 796070500 370999519 410388159 324527175 1000000000000000000 297053291 91060117 146290673 5105910 1000000000000000000 726511206 202127484 216621892 412461019 1000000000000000000 959546990 183329747 127256386 893218113 1000000000000000000 268968122 247263426 240693945 122533038 1000000000000000000 530844620 409263435 379721643 62863339 1000000000000000000 299945749 41340789 250213243 89939391 1000000000000000000 817314614 225656930 616793873 808578060 1000000000000000000 331507040 263189021 260884130 221176840 1000000000000000000 260658883 31121084 56861413 184090760 1000000000000000000 737326652 28919699 492851225 401923276 1000000000000000000 46418299 38233467 26398561 9497699 1000000000000000000 599184533 121130575 27366824 79695434 1000000000000000000 363239201 311094869 238848929 25522570 1000000000000000000 104078709 33132745 58419111 58455121 1000000000000000000 522509109 506052372 344002868 337066590 1000000000000000000 291056185 51421054 207587801 161663341 1000000000000000000 636885252 77786658 346106543 561078755 1000000000000000000 817258770 466903014 330956816 83776151 1000000000000000000 957324389 125042107 170230883 254000539 1000000000000000000 536453011 522631008 346536667 500004700 1000000000000000000 366135848 22027183 351472787 282295843 1000000000000000000 130253870 47738401 540803 57871207 1000000000000000000 699757 589331 421750 306208 1000000000000000000 375814914 274090328 125328166 8206095 1000000000000000000 951425039 487669788 533879965 443982659 1000000000000000000 464442844 184421324 210522936 325554496 1000000000000000000 700140759 125821580 187318925 122635068 1000000000000000000 221092542 129657628 54067206 156452075 1000000000000000000 465368525 426156937 114274244 354546741 1000000000000000000 431630087 29050106 336801921 127009266 1000000000000000000 915420517 440495958 493483454 92520120 1000000000000000000 370003882 307801730 33298338 159519812 1000000000000000000 113480513 60309871 204190 85512271 1000000000000000000 112114 72419 64993 82763 1000000000000000000 596574376 466679983 365983022 77155337 1000000000000000000 864761157 713884174 669303094 35603189 1000000000000000000 192129347 118719590 171882846 127420255 1000000000000000000 162517662 110853656 81361322 66555973 1000000000000000000 829623962 14533717 282910921 710008307 1000000000000000000 345830726 34670287 345677854 336434392 1000000000000000000 909725990 349226284 394291980 119152363 1000000000000000000 174970128 64931593 168169287 42276945 1000000000000000000 208636024 152655779 176444770 99495352 1000000000000000000 437459873 41902232 348163823 191205713 1000000000000000000 37068817 32398008 15535647 15588841 1000000000000000000 855889918 468503381 375698589 684664095 1000000000000000000 641047754 189099889 280297382 95060090 1000000000000000000 423203898 273417612 268651138 43312080 1000000000000000000 110875181 11074913 102116584 63201921 1000000000000000000 257991151 153584225 225965239 34979096 1000000000000000000 843312673 810726452 256899908 572537727 1000000000000000000 551761430 295092664 172273964 175966239 1000000000000000000 856365243 703417191 695544448 584419646 1000000000000000000 41881889 19430352 2082738 27595133 1000000000000000000 351140863 89698669 109124018 174995329 1000000000000000000 451873487 325707899 203486271 264561896 1000000000000000000 478169343 54082772 376787512 34134407 1000000000000000000 542877517 151887683 226700893 145350898 1000000000000000000 314353723 49728063 314145855 235951438 1000000000000000000 301123587 278890025 287106229 125203904 1000000000000000000 70268273 20688993 45628570 17952609 1000000000000000000 48024382 1920141 1480210 3107345 1000000000000000000 464218805 458607670 249878894 281996518 1000000000000000000 404718280 189599061 251265330 279353345 1000000000000000000 622863315 142411955 62297328 298486186 1000000000000000000 70433262 55034653 50475123 22622020 1000000000000000000 804875417 631307904 50693510 4466709 1000000000000000000 938234143 470216599 199373954 824692509 1000000000000000000 339823109 310636490 303560788 268318980 1000000000000000000 810249615 257557353 76363801 145188281 1000000000000000000 547960798 532087464 437404037 285409561 1000000000000000000 449886843 16761507 259842366 443598533 1000000000000000000 422040078 209439718 312669512 271711619 1000000000000000000 41690519 22633261 8936349 40170391 1000000000000000000 110671973 87569935 20332267 28399027 1000000000000000000 51930161 9983121 3189833 21256531 1000000000000000000 149464940 10994218 45852408 49458248 1000000000000000000 693190418 391609378 230263557 62958289 1000000000000000000 399927798 231027492 139586913 142354461 1000000000000000000 778462482 145190882 641120555 530190627 1000000000000000000 390622524 227402184 3061640 7922281 1000000000000000000 223548709 209989965 142909910 86302958 1000000000000000000 910444376 601961313 395018888 251711971 1000000000000000000 418723812 159847734 267928870 253096121 1000000000000000000 39168528 5873262 15481068 9046357 1000000000000000000 745760494 81761416 595449844 606840249 1000000000000000000 651698262 217422546 435256230 66151981 1000000000000000000 845537783 406159754 48079189 122235207 1000000000000000000 524138541 478498775 20151501 352739913 1000000000000000000 940899796 197332799 679101371 469643455 1000000000000000000 540963389 37737168 385476797 384184711 1000000000000000000 6540771 4328739 5448792 4072895 1000000000000000000 603796411 252981228 577175562 302302313 1000000000000000000 514765246 196838987 430478065 449282974 1000000000000000000 33599177 18060159 24680408 24841511 1000000000000000000 642454207 114834645 192209371 428029306 1000000000000000000 599273300 504569997 337268651 591303683 1000000000000000000 410808001 255877826 225823232 260718283 1000000000000000000 846297207 77297013 131856395 743832597 1000000000000000000 114524993 21466777 5396559 103123489 1000000000000000000 216970114 178132412 172135801 33751699 1000000000000000000 560940109 447372573 76445578 292991233 1000000000000000000 97448285 34114074 71080306 13936477 1000000000000000000 354630403 220336571 79701449 78992318 1000000000000000000 359487626 104531366 132910161 210226414 1000000000000000000 210210556 14198116 170115759 28856052 1000000000000000000 909335842 840930 619772021 890329238 1000000000000000000 424663086 384051391 210451392 226398563 1000000000000000000 820287272 337695499 741160133 217166594 1000000000000000000 422168704 76760992 274924703 135626993 1000000000000000000 745990538 62519786 66801590 425449099 1000000000000000000 134652808 91152473 75244939 5359962 1000000000000000000 984503748 320623147 234522408 676759133 1000000000000000000 706832402 294183728 25841180 428608976 1000000000000000000 322019920 198634547 129662862 53135787 1000000000000000000 859259544 543799400 358483258 325651839 1000000000000000000 179044723 32417193 34883306 140667269 1000000000000000000 431176849 56340928 242666464 398193682 1000000000000000000 528689818 141895735 125881768 418357331 1000000000000000000 439122161 94903236 344736145 119410044 1000000000000000000 106990207 316203 90379290 7868679 1000000000000000000 809216494 580026323 560335725 248211502 1000000000000000000 702486629 617158921 692592967 222913543 1000000000000000000 758594957 508155990 691378685 481963099 1000000000000000000 397620811 87505446 295533273 276899759 1000000000000000000 967029639 589577017 804609098 177516327 1000000000000000000 322474726 309205024 13220221 2012787 1000000000000000000 710958490 90540146 409359195 526513741 1000000000000000000 644227020 259520170 607578593 356154857 1000000000000000000 716918286 201321245 174300409 591139610 1000000000000000000 493970386 463471450 215918854 435677454 1000000000000000000 823237477 256645995 88950507 169171817 1000000000000000000 412083051 261124979 167430259 216031747 1000000000000000000 671955114 236292619 174741294 425134418 1000000000000000000 300599121 259517399 121348928 101414279 1000000000000000000 296948502 3997791 92771300 194812350 1000000000000000000 259365224 104590058 95493358 91975914 1000000000000000000 858795630 154776838 803538317 562956277 1000000000000000000 276065068 230017927 250661995 245603061 1000000000000000000 833749638 747914504 177093701 715556478 1000000000000000000 29994934 26114067 25254377 21948666 1000000000000000000 473384138 364421896 79919596 336578813 1000000000000000000 994893457 642158841 394405202 543224463 1000000000000000000 430004232 218384644 315241885 307735777 1000000000000000000 789715009 738201529 375251576 351923616 1000000000000000000 834008199 164300614 27580753 660244494 1000000000000000000 759311653 70206165 372487082 523380295 1000000000000000000 332541763 312237144 232156442 209115691 1000000000000000000 787748351 168173130 284625864 21888785 1000000000000000000 546265380 117569760 411341965 59542833 1000000000000000000 27740750 4012526 6697796 10143130 1000000000000000000 434989360 292623301 356249382 427392193 1000000000000000000 107134931 98712908 9797721 23531563 1000000000000000000 296472029 117483813 212868618 277310334 1000000000000000000 473083971 44598396 62216181 240702628 1000000000000000000 935954390 262410732 922214204 265219460 1000000000000000000 697844121 434726588 42508204 15441052 1000000000000000000 903907313 23497036 423063922 12194784 1000000000000000000 253214759 235133697 175248958 205799452 1000000000000000000 760565855 211991126 584986426 237953152 1000000000000000000 815272834 673170749 719568078 88195776 1000000000000000000 331938841 153873832 306117122 149913798 1000000000000000000 544095889 204038837 47846409 38112411 1000000000000000000 653932264 595940778 456696900 546126058 1000000000000000000 220583508 16509293 123346878 178085013 1000000000000000000 219180591 112743508 216569386 167200865 1000000000000000000 779036894 472664464 680731067 210502508 1000000000000000000 484973956 299732425 54482861 77242326 1000000000000000000 135969568 74941164 20263341 101510070 1000000000000000000 760271713 686087483 426953524 50842503 1000000000000000000 789366107 640334541 660705964 342215955 1000000000000000000 388664348 43232955 276498452 140073560 1000000000000000000 256728046 132627062 150826133 6088806 1000000000000000000 851439945 220380396 645085816 567861995 1000000000000000000 661437758 407587600 555273012 77141914 1000000000000000000 909253562 851528278 624683432 257478118 1000000000000000000 363665965 145604465 307782680 159532731 1000000000000000000 840933585 211075529 474822666 97121299 1000000000000000000 685530281 307167202 82233848 186691962 1000000000000000000 169421576 67821511 128926654 82776262 1000000000000000000 596468579 40105441 369454506 357491367 1000000000000000000 702235802 220362701 129096116 258989978 1000000000000000000 685982109 271626697 47128062 656085051 1000000000000000000 249581791 136905899 236348145 223884537 1000000000000000000 740870807 109988800 659699557 487603639 1000000000000000000 97985416 48877002 53476963 46793273 1000000000000000000 716314507 550415452 294835233 566636585 1000000000000000000 833507080 693411355 460692761 424338342 1000000000000000000 254938371 137208636 237268297 81128739 1000000000000000000 917007012 888751810 515520222 837287810 1000000000000000000 387659571 225672812 224925287 94257340 1000000000000000000 217856611 157667130 186832562 24395668 1000000000000000000 274747231 176381880 274324720 26678522 1000000000000000000 255031885 54538254 80486227 156449858 1000000000000000000 636075750 324989052 101858333 99581274 1000000000000000000 645144843 115206072 163202765 446388741 1000000000000000000 426280510 326026708 155581751 402532310 1000000000000000000 844954817 582984160 519155244 256049517 1000000000000000000 561054794 500779413 486589735 314217065 1000000000000000000 472902468 83833935 21279238 12403545 1000000000000000000 291598878 20248592 263024127 272752899 1000000000000000000 342549099 236046247 342181341 157752643 1000000000000000000 353374565 223923529 265096769 68927407 1000000000000000000 162987497 55716485 105848340 155143522 1000000000000000000 333388779 195407970 39236301 102725862 1000000000000000000 816442428 334647032 399454636 28637284 1000000000000000000 219175425 28580057 180548263 109072897 1000000000000000000 268266029 225835170 142820425 102975578 1000000000000000000 476964125 468957363 161447636 244679165 1000000000000000000 723615901 195470355 701211634 193947990 1000000000000000000 394449850 6778742 175887944 213006339 1000000000000000000 806871623 290379175 17857159 108249421 1000000000000000000 542452463 248777208 398468980 80101773 1000000000000000000 183457859 21844097 171881128 72137383 1000000000000000000 496802547 35524069 257615835 30288319 1000000000000000000 324422944 298623810 106261743 89749653 1000000000000000000 948577360 411671521 573524058 792516681 1000000000000000000 184356461 168310221 81945546 173953781 1000000000000000000 749102331 35413333 229399771 667976126 1000000000000000000 584212956 53899082 57033375 575014181 1000000000000000000 696860122 297311744 582525365 134267547 1000000000000000000 487013773 99768486 485506719 458436082 1000000000000000000 548055916 304941127 464528472 491082809 1000000000000000000 815179521 257319024 509573661 730056580 1000000000000000000 543544525 397327081 507871885 277313090 1000000000000000000 933657076 879469589 867820800 693645613 1000000000000000000 432382296 388594045 381579015 84203888 1000000000000000000 110465701 102861820 98313263 64223879 1000000000000000000 164400943 9756110 6339535 81042229 1000000000000000000 10136062 4129898 3984926 381972 1000000000000000000 907695787 232955365 257816229 810055507 1000000000000000000 809748951 280877664 147190627 540755392 1000000000000000000 156009824 138049292 12804712 133360297 1000000000000000000 278557002 146913313 122288040 107605585 1000000000000000000 50688873 49126152 19192249 22306851 1000000000000000000 430550700 225696389 66789999 293293518 1000000000000000000 211495774 208692947 186998732 107972517 1000000000000000000 174720895 49218684 1342433 55586679 1000000000000000000 907163271 326939079 217290547 733609638 1000000000000000000 947300569 643099223 214447225 144260 1000000000000000000 72217249 28028623 34233409 8634166 1000000000000000000 726425597 461411852 680139887 547682283 1000000000000000000 76880866 76022336 66417222 5553863 1000000000000000000 967855285 74896920 476962774 493909237 1000000000000000000 474037651 191614732 441982739 104224204 1000000000000000000 281080873 109648392 191640684 63607327 1000000000000000000 558604642 343541654 310422702 401643677 1000000000000000000 651280892 573914327 329515662 263237085 1000000000000000000 477110754 183093645 202431859 363353927 1000000000000000000 602270430 146249155 154147079 311332200 1000000000000000000 36572499 26190444 35263236 27189036 1000000000000000000 803612823 133762008 736484445 785975225 1000000000000000000 386131516 43826745 379563077 88575223 1000000000000000000 970312174 815750708 667466474 583408610 1000000000000000000 508712955 483901698 193355601 359726044 1000000000000000000 645226163 11913748 510566171 1986194 1000000000000000000 579264706 478310200 354123252 35544420 1000000000000000000 863702854 73072175 601355985 770923774 1000000000000000000 184919257 91025548 168532780 13525910 1000000000000000000 402394741 227560211 243996884 242259034 1000000000000000000 782917958 23555866 669187007 434371055 1000000000000000000 488265218 464156492 373524585 389151853 1000000000000000000 48786189 28985707 23305903 24395643 1000000000000000000 367017716 177176012 117810839 227292145 1000000000000000000 345239246 157618258 170373695 186032457 1000000000000000000 310621721 49448622 5861073 125341193 1000000000000000000 285289250 3377604 242907383 277246997 1000000000000000000 904127829 177765334 215792535 237094394 1000000000000000000 105805116 104314946 1716894 90622949 1000000000000000000 974730977 752254808 433550412 350395733 1000000000000000000 255126437 252608621 233458804 142001802 1000000000000000000 183038841 98536740 102266877 79508401 1000000000000000000 559000641 248519311 310930688 42540195 1000000000000000000 203424641 158844973 150862619 41934203 1000000000000000000 326507658 188346067 275013113 132997089 1000000000000000000 505030970 106054177 443453293 272614120 1000000000000000000 500194043 159106580 165859661 384465525 1000000000000000000 959414192 706534977 904889890 237521844 1000000000000000000 107507780 18920987 68940096 104684019 1000000000000000000 832692023 520643141 633990983 442988753 1000000000000000000 248671590 212528457 75462740 170245810 1000000000000000000 968660680 515823505 601457862 849176439 1000000000000000000 436691324 427333528 280240719 257089804 1000000000000000000 636975352 601617148 397504441 538127082 1000000000000000000 152693827 71926556 96310582 125203440 1000000000000000000 737657934 481654948 688926479 154289443 1000000000000000000 622887097 63348792 238057475 226992732 1000000000000000000 981161726 480995029 599675491 687786832 1000000000000000000 776213444 522703743 531667633 36641199 1000000000000000000 12928589 11309656 3790415 2348469 1000000000000000000 127463053 93058187 88396120 91117293 1000000000000000000 365306314 128679891 2935810 278441917 1000000000000000000 100568031 84381875 17284819 93774880 1000000000000000000 968877153 168056962 675537954 545002164 1000000000000000000 156182151 7613112 89568368 154678481 1000000000000000000 932884426 819017749 267958347 540525233 1000000000000000000 349012747 279254542 207680080 60563829 1000000000000000000 831906511 31270713 526465687 821841964 1000000000000000000 884259044 248271729 720178389 717954648 1000000000000000000 809335500 37851839 245741689 800430727 1000000000000000000 386639604 201452354 154254068 51341115 1000000000000000000 852348924 382465245 270399025 164917872 1000000000000000000 853262191 340303587 405411653 44368025 1000000000000000000 275097004 176884437 120476597 128868444 1000000000000000000 753333413 622470310 12316298 744423401 1000000000000000000 75578902 9310464 48966981 3785276 1000000000000000000 766773228 384482965 750578591 765713083 1000000000000000000 787244016 218743639 360412079 223106716 1000000000000000000 857801575 186152309 124213580 382439071 1000000000000000000 972727305 308057661 47414026 65800894 1000000000000000000 484645271 238787201 276829616 467068948 1000000000000000000 611371906 454170215 303833617 83258933 1000000000000000000 130608702 51867807 103678899 26802558 1000000000000000000 267265965 192435376 146550855 221165019 1000000000000000000 881725591 531293319 408181649 111525260 1000000000000000000 634002233 217801961 361925802 517412656 1000000000000000000 561053907 523079047 174958443 215776309 1000000000000000000 910211468 528910414 723961119 858078153 1000000000000000000 232847406 190693826 105219241 34073396 1000000000000000000 9478572 7110533 5874299 1173862 1000000000000000000 730958521 433768214 379665183 383589121 1000000000000000000 645342743 636427655 151143600 180489471 1000000000000000000 378188805 352290131 348933873 172470417 1000000000000000000 214401736 150697289 173323158 153647276 1000000000000000000 558899303 545377342 131686184 553977723 1000000000000000000 176846178 99143108 136545552 115389161 1000000000000000000 214227468 17126996 17148363 145754065 1000000000000000000 797883343 156834867 106951558 256334229 1000000000000000000 530744683 76714804 83375472 122570652 1000000000000000000 189873614 113231948 172986126 55711271 1000000000000000000 792620694 786478473 229246084 764795881 1000000000000000000 161976262 70134465 12466886 125234151 1000000000000000000 585838133 193331288 573712780 261738899 1000000000000000000 542658352 345224805 426402222 398141004 1000000000000000000 979124779 631854160 326211455 929986354 1000000000000000000 415285906 329880987 208088112 85550946 1000000000000000000 860054372 88332932 425664902 622517354 1000000000000000000 783611166 99336204 497522936 140107714 1000000000000000000 525715755 141188926 328498996 327838391 1000000000000000000 879395902 55898455 204003191 521671356 1000000000000000000 966224585 205686795 546224677 517006874 1000000000000000000 375334566 371746619 117821299 131469436 1000000000000000000 565555882 260879599 275665794 238068996 1000000000000000000 731543697 187804978 141131532 78657814 1000000000000000000 63894014 37403595 43348511 28081874 1000000000000000000 249566444 11452904 40769454 68939958 1000000000000000000 831207578 452218615 255570592 808306436 1000000000000000000 965647629 384846409 916626175 693428452 1000000000000000000 233072345 51434899 92940355 37968236 1000000000000000000 840323778 825375094 794768990 73790311 1000000000000000000 748023448 627119342 642501272 469832855 1000000000000000000 724027516 6654694 513753899 220688811 1000000000000000000 633069107 181390280 303760655 216659407 1000000000000000000 73382563 71186078 2406908 4838792 1000000000000000000 194077 92533 149709 98122 1000000000000000000 674380878 323129749 453105134 500377728 1000000000000000000 876977285 737940787 754426025 789822177 1000000000000000000 559794620 529262205 158537063 169083348 1000000000000000000 854328474 655104187 756735731 586733085 1000000000000000000 67498738 53857877 38885127 21062187 1000000000000000000 145162289 79469579 129032934 38221740 1000000000000000000 387069589 45965803 339467443 186403598 1000000000000000000 788565171 487096334 337369502 296379633 1000000000000000000 61303881 18257908 1106665 28339701 1000000000000000000 275708216 260694503 161736235 191118948 1000000000000000000 290015639 165136110 260012819 4295781 1000000000000000000 279084627 236259583 26062751 137208567 1000000000000000000 94496473 16049030 57297511 45535124 1000000000000000000 117330976 45693683 49815722 33962363 1000000000000000000 979657086 860112993 173683303 252968694 1000000000000000000 56099386 40270461 24690682 6812583 1000000000000000000 860985034 198640541 587915613 201431437 1000000000000000000 77770145 49822440 50456077 48034383 1000000000000000000 679592923 559968164 331481525 135425724 1000000000000000000 892906049 634761014 139522012 59112574 1000000000000000000 608722608 403414472 362217852 207314430 1000000000000000000 348960449 99420508 103647483 37988223 1000000000000000000 840601721 380283239 676108283 348179606 1000000000000000000 524002728 270670330 433785682 280412291 1000000000000000000 820806821 17668510 553904412 114040637 1000000000000000000 603323159 50145974 486104581 591209586 1000000000000000000 322406512 136772746 274949452 198889677 1000000000000000000 861824743 48553057 67639615 358601670 1000000000000000000 248805998 155208067 118445528 69088816 1000000000000000000 952524341 565679527 541238028 757080533 1000000000000000000 214078439 124669622 186382950 72914488 1000000000000000000 761105936 57948946 432685468 205102394 1000000000000000000 159311376 62441917 70663911 8094015 1000000000000000000 373105662 224798614 117578606 298160303 1000000000000000000 854453940 174139324 152445695 39912787 1000000000000000000 700248344 495649045 476278903 570631930 1000000000000000000 234475375 27613425 178389072 198422191 1000000000000000000 754320444 310944134 405959132 708735208 1000000000000000000 569338572 524559819 57085955 207620664 1000000000000000000 639747683 86884104 408051611 398568347 1000000000000000000 433708297 34465075 89386780 331421698 1000000000000000000 821205668 706965804 417438277 395738670 1000000000000000000 69116738 36737269 17399217 37738547 1000000000000000000 86869134 71272338 63807001 2850580 1000000000000000000 188274936 119921384 109174330 104451986 1000000000000000000 488315286 367196708 481047670 358778750 1000000000000000000 896132965 721542226 107448572 310175333 1000000000000000000 762299085 454034291 472757005 739373041 1000000000000000000 364646999 92057240 353796548 171048305 1000000000000000000 295312178 47558109 15841601 89963153 1000000000000000000 29821739 24377681 14644439 24190728 1000000000000000000 548015025 356755992 375964110 17128299 1000000000000000000 853177394 629496356 701862099 765366562 1000000000000000000 47272599 2906279 36661345 7005568 1000000000000000000 433938145 426841992 277512193 271527340 1000000000000000000 374998300 130521933 132338481 208724480 1000000000000000000 165923264 54089991 98058413 84943156 1000000000000000000 905717049 659088103 687231531 340718947 1000000000000000000 256767062 78441495 29604566 112033683 1000000000000000000 809657816 221688062 174611790 38731194 1000000000000000000 298350463 185940557 249851627 256733404 1000000000000000000 107795785 60851587 77069173 6921319 1000000000000000000 876593832 173728189 759391185 433455511 1000000000000000000 668441192 353781298 315968239 271634344 1000000000000000000 256594511 43716142 217257521 212411911 1000000000000000000 703629224 635630133 592707444 297345535 1000000000000000000 151435834 113150731 51527764 50487093 1000000000000000000 229435498 4434450 159465699 10036970 1000000000000000000 643458279 97023024 179164867 410914775 1000000000000000000 848537152 493953772 630977303 271904259 1000000000000000000 717478220 504983313 709593709 29646225 1000000000000000000 804073012 385819055 188555023 316784960 1000000000000000000 193258702 138214064 89965025 53713313 1000000000000000000 545359707 416293777 72990259 150951937 1000000000000000000 285782515 153872168 152270113 231357375 1000000000000000000 989923783 826541118 55230863 30188119 1000000000000000000 101443802 21298279 43250129 49453119 1000000000000000000 338355807 81315283 301606225 231479626 1000000000000000000 115539566 53523934 55385427 75857267 1000000000000000000 668383095 397972851 339349745 408379112 1000000000000000000 977090570 817826208 318754269 287846224 1000000000000000000 554667347 140318754 526340441 374479748 1000000000000000000 401498123 371495013 13626565 78496483 1000000000000000000 906214579 356418780 344118562 843687014 1000000000000000000 317077336 7872981 241440934 266463858 1000000000000000000 616706302 333879055 307826196 536049273 1000000000000000000 305981570 278115205 33676352 225683132 1000000000000000000 224625700 144672397 179755395 135307653 1000000000000000000 510545030 282971676 312236808 221741681 1000000000000000000 325549739 289250791 155810879 13563163 1000000000000000000 558083952 305581859 120341221 205330053 1000000000000000000 967990188 157040503 41350367 320436101 1000000000000000000 344228821 261617467 254395432 51928580 1000000000000000000 69158778 13953262 25652524 32503740 1000000000000000000 203291547 193590269 177837661 93354809 1000000000000000000 241000202 225905771 19803539 182086864 1000000000000000000 358097426 353802403 321909569 232506537 1000000000000000000 677115293 197146622 99822619 96745355 1000000000000000000 433772474 149602094 181439885 278882464 1000000000000000000 488253044 405264751 436652443 98998642 1000000000000000000 833107014 609436505 21579872 627017373 1000000000000000000 639770829 420665381 36462307 537664042 1000000000000000000 250551065 230902472 131814620 46973832 1000000000000000000 512090737 363585594 475415374 199494988 1000000000000000000 1310594 802455 369542 546506 1000000000000000000 347028406 336594669 280640900 136102768 1000000000000000000 150073898 143925085 99624483 39332829 1000000000000000000 46231586 37434276 25036661 6945393 1000000000000000000 785725971 766948009 661351215 571759658 1000000000000000000 347720247 285087722 196849011 309544144 1000000000000000000 269545428 235409087 130899502 82379409 1000000000000000000 303014827 100368434 224594256 84780335 1000000000000000000 119752255 116264961 4085727 38031665 1000000000000000000 895988858 872129830 767912143 621480116 1000000000000000000 208815646 176609163 208119075 47303417 1000000000000000000 135258992 106639808 97648860 111541542 1000000000000000000 500310276 259505549 124553960 159573498 1000000000000000000 551810237 502985409 193118828 119589165 1000000000000000000 201664592 48196787 125810850 187494511 1000000000000000000 835568455 479009101 500686648 7206646 1000000000000000000 460309165 174265144 229843201 297906061 1000000000000000000 478585839 164673696 132721175 174361305 1000000000000000000 366276915 118438717 299757497 16335378 1000000000000000000 79664548 59622453 18586116 54113381 1000000000000000000 977958856 783247740 286703089 812449703 1000000000000000000 833528935 38436696 773693048 509609367 1000000000000000000 107619980 55029278 73195687 87608648 1000000000000000000 57603867 1803691 11686622 23430998 1000000000000000000 74465883 60716160 23740060 58381183 1000000000000000000 531696903 106228614 155091170 153065086 1000000000000000000 135850255 69598536 121211072 31175725 1000000000000000000 359125220 129515054 300759529 292093931 1000000000000000000 682194654 133452877 144513969 286293045 1000000000000000000 148897544 74394236 24477658 143545287 1000000000000000000 49458005 19251668 39079923 45541465 1000000000000000000 942617062 773849303 830697160 331397682 1000000000000000000 899340003 144897421 760264924 190039958 1000000000000000000 280636556 204296605 76626598 209138388 1000000000000000000 500670045 277508145 362087825 199823907 1000000000000000000 628017372 512416321 336965060 463685604 1000000000000000000 227957988 224676746 146320122 149243395 1000000000000000000 266955214 128106627 119512041 226228872 1000000000000000000 732344832 501095906 88947805 511840428 1000000000000000000 556533909 239507552 17683816 537463287 1000000000000000000 730255491 540745087 614795084 653166960 1000000000000000000 348668363 271754564 113497920 274548184 1000000000000000000 300436979 280254097 296288133 236865246 1000000000000000000 954932111 282760527 93543460 810358767 1000000000000000000 945469255 170508069 293765096 341512009 1000000000000000000 841018312 568404805 694937525 781623908 1000000000000000000 297496308 218457014 98850529 239461746 1000000000000000000 847317247 650364781 125965523 647059522 1000000000000000000 574022725 367486329 27741312 68210107 1000000000000000000 986549349 817594309 672300611 67955776 1000000000000000000 462521660 186558435 141281937 42619888 1000000000000000000 895862364 114421555 739579945 548942004 1000000000000000000 686761407 195656382 223922929 363875474 1000000000000000000 51347001 40580250 44891958 47161321 1000000000000000000 818602752 463727054 118533768 314359944 1000000000000000000 954586943 656990907 25591075 679622848 1000000000000000000 33383587 10143344 2492505 17388730 1000000000000000000 386335810 131196208 270708901 284709758 1000000000000000000 588723412 330133797 229319928 33000742 1000000000000000000 246243967 87397573 93460884 128447230 1000000000000000000 124837223 108735440 39552830 25549407 1000000000000000000 684794890 272820022 167100699 422966423 1000000000000000000 962775675 763692486 765218607 494546386 1000000000000000000 572276485 342860749 313542925 538697222 1000000000000000000 404715461 328130751 243867842 339338108 1000000000000000000 253780990 110022612 123372324 89182629 1000000000000000000 593998270 334493862 338587400 77153213 1000000000000000000 927585164 427747273 903902751 61902190 1000000000000000000 395515679 385856756 273591360 117351408 1000000000000000000 354772468 326121230 140608731 143314967 1000000000000000000 849151984 357649720 496000343 378323314 1000000000000000000 468384109 191433912 422006509 36358472 1000000000000000000 580951445 542511006 152140955 238566684 1000000000000000000 419549210 232116167 85093386 200363372 1000000000000000000 770495300 180554162 748196885 13213315 1000000000000000000 480751652 50610045 364665048 368821763 1000000000000000000 686570168 599318442 605324413 135447498 1000000000000000000 665732983 241826889 59249435 539506286 1000000000000000000 394808266 163918654 388998869 54160708 1000000000000000000 739219662 30139571 574555801 236657606 1000000000000000000 957844749 64941082 530722039 90938848 1000000000000000000 920959285 797197777 178689618 856372511 1000000000000000000 812037492 514179829 146442548 176638126 1000000000000000000 920632184 664308493 261612314 424291696 1000000000000000000 60183073 49029242 38010622 9360473 1000000000000000000 63529081 14999656 61637693 31214382 1000000000000000000 746414481 21243112 364160534 537418686 1000000000000000000 45124177 39128318 30156125 37907115 1000000000000000000 450180656 29675513 359412957 6515413 1000000000000000000 162674638 30078767 54206865 87346985 1000000000000000000 256259609 208497674 143343549 23086643 1000000000000000000 99142420 96563115 2710793 826756 1000000000000000000 242018299 238447545 138283765 63310510 1000000000000000000 351881363 349013652 73251258 293415300 1000000000000000000 42902026 32187361 15737385 16303123 1000000000000000000 439468228 119140432 410102549 165322336 1000000000000000000 506450636 116104170 210580162 7426615 1000000000000000000 366575503 131661240 149734501 206462765 1000000000000000000 582250561 65028135 244056183 487357764 1000000000000000000 668300250 394468029 212368724 224773523 1000000000000000000 839625509 608368530 144428274 835905878 1000000000000000000 451949419 374500794 299186305 233296751 1000000000000000000 942150391 905016088 92950083 34142069 1000000000000000000 896897793 445383940 853670855 789615972 1000000000000000000 476412329 322154596 334262028 106099271 1000000000000000000 333319387 25114264 206239784 111580731 1000000000000000000 852625586 849919107 796481515 127642478 1000000000000000000 343314649 120714000 314515397 2364255 1000000000000000000 505366808 176538230 338925408 304567474 1000000000000000000 586143836 235542149 362624495 220942976 1000000000000000000 353393358 260568142 140414857 168821647 1000000000000000000 166645106 73742634 73295657 3628125 1000000000000000000 966071592 612706790 361867647 576592013 1000000000000000000 695458957 409870750 460954740 630338598 1000000000000000000 117071671 24842541 26476087 81983768 1000000000000000000 629411088 216298906 461047079 612634675 1000000000000000000 65737380 10321152 48188932 31812330 1000000000000000000 20812118 7292180 6142257 16511227 1000000000000000000 579854761 316620249 562457724 405162596 1000000000000000000 68771962 4594000 55004317 17579956 1000000000000000000 639620365 539266819 469759830 353032696 1000000000000000000 995102277 165185012 658406207 499486050 1000000000000000000 504943727 111360823 493925076 439548651 1000000000000000000 547119136 416850066 316266719 16892896 1000000000000000000 423834106 216954174 256301125 390474408 1000000000000000000 850921033 637888197 249565816 657243185 1000000000000000000 550303679 121829405 390673813 136449468 1000000000000000000 585432502 528484617 255020994 521062579 1000000000000000000 300583910 81914585 8646383 270600228 1000000000000000000 294962748 136276027 25305307 248754815 1000000000000000000 408482215 188817470 346826389 154765401 1000000000000000000 790295754 16773953 314344323 650590945 1000000000000000000 31529489 16441203 14864041 4965601 1000000000000000000 83050466 29340352 48037313 77220078 1000000000000000000 816330232 507649618 6842441 463299530 1000000000000000000 747790118 41912869 80026664 247460192 1000000000000000000 756723419 370724465 305329532 386818331 1000000000000000000 944166923 859183058 246073307 741064902 1000000000000000000 141031425 92630513 131360614 97974740 1000000000000000000 256360587 55328241 5442154 135068890 1000000000000000000 638085575 207803388 36582867 601672188 1000000000000000000 941096244 662134565 207166057 41414989 1000000000000000000 657866927 388020738 510425890 447961579 1000000000000000000 366802832 14370133 189381900 146076085 1000000000000000000 357432629 42331298 249881729 303530996 1000000000000000000 956667247 317280994 588567149 291061384 1000000000000000000 937946876 376153377 232984068 721291970 1000000000000000000 311026971 188897782 41352938 158084835 1000000000000000000 115377902 71684981 35606173 89094097 1000000000000000000 432490877 314601013 252540565 286035537 1000000000000000000 930857126 704363444 110275320 770422573 1000000000000000000 673058888 439520816 143787040 72202408 1000000000000000000 15899151 15516090 11506358 15018451 1000000000000000000 705590389 183829427 188416519 131314832 1000000000000000000 966796290 752263276 869271256 1381498 1000000000000000000 667339885 650878051 79062614 564108740 1000000000000000000 170298176 13874527 111152642 128009472 1000000000000000000 521923165 41678955 229767611 504710629 1000000000000000000 515629680 130018571 8722644 243760669 1000000000000000000 782856702 272968442 183539040 150812829 1000000000000000000 5257137 104228 4367039 5140996 1000000000000000000 930975832 924163563 636020569 807746893 1000000000000000000 488071052 343664330 114417153 272006498 1000000000000000000 856290675 202598224 346451996 468661291 1000000000000000000 243139712 32268823 222742813 31838891 1000000000000000000 925314126 557114579 56502556 391786603 1000000000000000000 663716387 607046438 425929001 497298655 1000000000000000000 606993249 18088678 8142813 318375556 1000000000000000000 28634597 23298031 20784231 26768474 1000000000000000000 570354796 546450360 228637043 257844452 1000000000000000000 885452307 815027196 767660896 872162167 1000000000000000000 798249936 409490020 318339308 312615422 1000000000000000000 539279905 5381588 371521861 85758383 1000000000000000000 977633569 168531638 506181198 822012987 1000000000000000000 31174863 6162359 27455376 26186133 1000000000000000000 752923911 499327219 334642197 551957064 1000000000000000000 342237246 238017403 106567869 145055066 1000000000000000000 831998925 143271533 766876149 76995144 1000000000000000000 663538352 457385564 30766559 340303516 1000000000000000000 26500930 4743200 6081385 21004258 1000000000000000000 602336495 222485717 454929155 402915346 1000000000000000000 539533099 373637781 167190552 244129811 1000000000000000000 321112300 49259873 263999655 33733881 1000000000000000000 348714642 17956554 256475078 102861838 1000000000000000000 912777406 310250178 163861491 804149840 1000000000000000000 148987699 134623577 32157519 11061477 1000000000000000000 332750751 211465980 298519548 187329738 1000000000000000000 294883714 294675095 154631301 230702329 1000000000000000000 188815335 155839115 87112181 160869574 1000000000000000000 559259653 81184417 241694206 264168934 1000000000000000000 743958856 326804724 128389866 521973087 1000000000000000000 88859766 74702989 38548191 83553614 1000000000000000000 959013636 800647076 197367799 588342045 1000000000000000000 369361568 66841888 5322551 53106027 1000000000000000000 312028761 235390019 28011537 53734166 1000000000000000000 296230185 80189051 203517502 252096053 1000000000000000000 961351117 633673144 714094541 312699063 1000000000000000000 491814257 401448892 286931787 255009355 1000000000000000000 2844700 2502151 738719 2325203 1000000000000000000 541461035 157510642 132079648 347127487 1000000000000000000 163015001 101288529 94679706 136549246 1000000000000000000 712630379 413117155 457970893 294454314 1000000000000000000 65064130 12786138 64781683 669978 1000000000000000000 478437270 218213134 259661532 330313065 1000000000000000000 291895667 70161468 171595609 24763591 1000000000000000000 606356864 557476101 327083623 102663301 1000000000000000000 424396857 413374404 132478639 149115756 1000000000000000000 578096324 419482376 304814517 169247763 1000000000000000000 847819269 562493994 445071321 660771551 1000000000000000000 990188384 260603406 348939613 180293018 1000000000000000000 503846518 453193286 397361195 61280513 1000000000000000000 771292354 667160870 754883486 23255382 1000000000000000000 364285061 213141857 7679807 77092740 1000000000000000000 490201343 190473017 78214461 232472137 1000000000000000000 154247335 39434511 98561860 34584738 1000000000000000000 254048165 121943774 109290089 141096061 1000000000000000000 95366229 27241330 13823816 26294152 1000000000000000000 397136563 15214111 187168879 118032045 1000000000000000000 53438832 1085456 17329601 32104572 1000000000000000000 630301659 180157853 323198966 92116368 1000000000000000000 140412013 41181842 115058482 30075694 1000000000000000000 67941396 26597148 4899821 58902957 1000000000000000000 834125948 424173246 252503816 415485000 1000000000000000000 172662347 18252398 84672565 148896763 1000000000000000000 802369407 94419320 92603249 390960845 1000000000000000000 77252928 20939592 62468809 65845126 1000000000000000000 277328446 217797824 66091386 244325380 1000000000000000000 475236746 69368710 439455806 259936041 1000000000000000000 178761428 176326386 1860732 170905221 1000000000000000000 532396058 75592263 300601160 515324376 1000000000000000000 678761976 515662230 116635370 125295357 1000000000000000000 298364333 225793893 210823805 78583742 1000000000000000000 219250525 70527318 34351519 47293549 1000000000000000000 331568630 241560121 163118838 112864024 1000000000000000000 802791944 322674303 81946716 756671831 1000000000000000000 666750783 127813733 39996461 349095196 1000000000000000000 101433793 1964248 74433064 63205580 1000000000000000000 683015413 518746857 258948147 125706219 1000000000000000000 731975848 373952100 716076401 679961558 1000000000000000000 640297654 466774851 123351735 401885794 1000000000000000000 326993026 250963571 201225077 276094114 1000000000000000000 350569707 266307792 86213366 224074709 1000000000000000000 852915393 234824764 594699773 56054736 1000000000000000000 625645255 557200908 5869544 435932582 1000000000000000000 26927833 4053112 4599754 9218571 1000000000000000000 25759550 5458382 1889708 22235312 1000000000000000000 743646472 20437558 98251569 280529838 1000000000000000000 257847282 137121065 92617049 142701958 1000000000000000000 506357729 323966150 504148131 9610192 1000000000000000000 422034190 336650375 99204987 137289517 1000000000000000000 987946846 287838314 731910584 5083287 1000000000000000000 419485956 287038593 21801455 285296950 1000000000000000000 12851396 7203202 1181987 3735414 1000000000000000000 694750500 191437630 437189380 412101649 1000000000000000000 569460880 464583620 154496802 527163445 1000000000000000000 66064494 54490380 26254646 59669852 1000000000000000000 79422461 3171788 36123466 63815834 1000000000000000000 683298982 484705843 505100404 384314946 1000000000000000000 548233028 88161818 14996986 230191730 1000000000000000000 469363289 145654895 148865345 26862216 1000000000000000000 573540348 122733613 202254674 285597129 1000000000000000000 511692595 421891726 189417731 65286288 1000000000000000000 886599480 405413924 386687525 535384756 1000000000000000000 184043534 35210200 158731298 163347670 1000000000000000000 321650985 189880408 115163026 297273167 1000000000000000000 21491911 13650524 20112008 11791210 1000000000000000000 89668800 85606173 52997905 5784076 1000000000000000000 37227929 8065314 16148212 17179048 1000000000000000000 801787651 635572590 80400116 406216523 1000000000000000000 431948893 72768244 60348792 320858206 1000000000000000000 201783419 34135469 120752751 13472844 1000000000000000000 913527301 774785368 319401825 851431475 1000000000000000000 346285926 201156138 103983890 96116032 1000000000000000000 41879054 9619581 41321331 14686568 1000000000000000000 763669090 589138800 536089844 614822461 1000000000000000000 346224877 136872825 267164280 270284057 1000000000000000000 341868293 104621204 332374808 297553745 1000000000000000000 835964086 724269529 122962530 271432931 1000000000000000000 735893293 320172290 350770987 172212793 1000000000000000000 757807480 709737729 256721174 247006400 1000000000000000000 658466315 512822260 344235230 465405992 1000000000000000000 527769517 47097055 315375081 465391981 1000000000000000000 755059377 235531623 511095006 713445352 1000000000000000000 797374324 107855420 633098817 352267943 1000000000000000000 79435821 63122299 73728648 70961896 1000000000000000000 977781952 689050988 205779580 460633092 1000000000000000000 153934334 76114371 58324246 133631707 1000000000000000000 98674549 61523322 4524929 72433585 1000000000000000000 853062934 460286993 437382070 7914223 1000000000000000000 229732572 50062285 156452924 139599470 1000000000000000000 130195739 128418121 54218391 63846239 1000000000000000000 133544325 98058524 113332614 120680794 1000000000000000000 683349391 653007833 326014222 478511581 1000000000000000000 757993123 127920538 270072306 667782082 1000000000000000000 636212692 612986335 475367932 228921090 1000000000000000000 46384451 36924606 17937961 22872833 1000000000000000000 646073374 377234623 561895046 440766880 1000000000000000000 131517470 124744732 92486168 75551439 1000000000000000000 23526657 15295352 7072020 8008849 1000000000000000000 110903027 53058904 6420733 86665179 1000000000000000000 915766780 31176037 797521172 788335231 1000000000000000000 985694966 822251091 510791209 332974192 1000000000000000000 194726856 124099080 104675420 162257321 1000000000000000000 953624520 245475401 239056728 200925438 1000000000000000000 347247544 248131227 162044338 225067937 1000000000000000000 517352764 110569869 227383000 275058699 1000000000000000000 906714212 46101084 257805300 70668035 1000000000000000000 581235132 12021341 47589181 221371688 1000000000000000000 974037095 43253789 326586546 847342305 1000000000000000000 301046690 26555366 273160510 300724079 1000000000000000000 724278811 24147894 181092524 426464219 1000000000000000000 194020673 110929077 52854931 87164985 1000000000000000000 218413916 74690772 40705644 127213414 1000000000000000000 424423705 106820154 82345286 389468342 1000000000000000000 483736949 478193315 41296245 235200814 1000000000000000000 789539976 308272135 670005663 783710223 1000000000000000000 705760817 94815233 135608902 444958357 1000000000000000000 684310530 550001400 225851665 261492378 1000000000000000000 644094630 616525013 212579998 206523090 1000000000000000000 313923919 172765283 230732713 193984241 1000000000000000000 855319420 75195444 506402592 113144483 1000000000000000000 805204532 324005798 745620714 90740940 1000000000000000000 247222640 156784603 153799159 92569341 1000000000000000000 973121094 353311949 161234333 737464275 1000000000000000000 317109293 260530321 85278968 37847198 1000000000000000000 181652548 117930322 1896789 119604644 1000000000000000000 812705046 480874095 771480600 116786506 1000000000000000000 823555303 418946095 263376330 124555610 1000000000000000000 966956837 937441396 150838642 751849045 1000000000000000000 861329405 354618860 198842267 50582532 1000000000000000000 292962287 259492976 198912236 14714568 1000000000000000000 564151324 432356819 203631764 435664831 1000000000000000000 811392598 761234467 2486700 591988863 1000000000000000000 62201134 29409423 47435920 24421312 1000000000000000000 15076692 11408067 3891632 11852184 1000000000000000000 824367924 609660821 116044063 385038371 1000000000000000000 789368571 91644886 391957060 664232537 1000000000000000000 812744411 634599216 568266082 779304900 1000000000000000000 713258803 488018136 339092665 288929496 1000000000000000000 401531478 45240539 243041506 82931058 1000000000000000000 667117160 252788301 177879881 413279278 1000000000000000000 532912071 165415247 338859601 441177852 1000000000000000000 31982027 16040579 12194046 13657815 1000000000000000000 498536195 213560124 260433066 465883178 1000000000000000000 874207761 513514649 412543924 79153023 1000000000000000000 570184418 356056435 315823909 336102781 1000000000000000000 255884304 170254517 193018278 65690255 1000000000000000000 285438113 159490214 66647326 228575808 1000000000000000000 367339227 191000391 239694456 322749688 1000000000000000000 998087387 200884765 456726718 628477922 1000000000000000000 493557353 77002936 210798980 400111149 1000000000000000000 901003958 17262386 347327791 826883039 1000000000000000000 77293567 32720957 10438193 62574857 1000000000000000000 829554254 523353170 195447113 573559460 1000000000000000000 951133347 795822048 95616630 346804903 1000000000000000000 489135864 168148011 471175850 409480707 1000000000000000000 166806087 102052553 5988913 128792706 1000000000000000000 394436878 39095827 337705233 144522949 1000000000000000000 770609897 87043338 213825144 548480694 1000000000000000000 270910902 182146757 120910827 102167646 1000000000000000000 401007631 392400757 249477386 3601140 1000000000000000000 243554554 195918077 17228231 211000619 1000000000000000000 146336398 10895394 101127056 112922694 1000000000000000000 262459224 210018980 63195192 63072289 1000000000000000000 586800304 81388778 294040629 264583731 1000000000000000000 439661229 378309028 309566717 105156148 1000000000000000000 845695601 782758680 729400608 311950600 1000000000000000000 765557942 279288026 601159227 415579392 1000000000000000000 282803029 15763550 168030495 198895426 1000000000000000000 251357502 215186716 237213396 62078391 1000000000000000000 130472051 27445093 63214539 35455830 1000000000000000000 728310427 261769919 300285852 478304887 1000000000000000000 138642314 52980117 9903241 94415527 1000000000000000000 375137923 158664638 72342432 252981496 1000000000000000000 749020171 626863603 121990433 516034663 1000000000000000000 839045758 528435420 356026971 332901894 1000000000000000000 667057936 164539648 587771880 346645238 1000000000000000000 870429151 588353315 398743778 262546963 1000000000000000000 995499673 847262551 868446536 610745737 1000000000000000000 221455132 147511984 139146335 140934160 1000000000000000000 42042486 29699629 15170844 6087596 1000000000000000000 119471389 9041458 64913903 68084241 1000000000000000000 327056520 171377402 61759170 140233443 1000000000000000000 407438054 213475485 392638032 341542950 1000000000000000000 733911841 347564187 210807153 322319325 1000000000000000000 81630540 24319175 53686525 62003037 1000000000000000000 562627307 341641096 158480369 216883436 1000000000000000000 422972232 242361163 271432129 245770168 1000000000000000000 172111535 44706266 77564847 70660834 1000000000000000000 475079673 156241827 216117901 179773012 1000000000000000000 596789598 378885143 54758674 13753411 1000000000000000000 349186568 36590552 28674436 249982690 1000000000000000000 778612259 522558671 258699949 283402867 1000000000000000000 415156295 194461873 160699830 230659155 1000000000000000000 247152666 75780789 182614437 87909031 1000000000000000000 775391043 201557342 265444146 649524173 1000000000000000000 65991513 55956951 6712715 17794355 1000000000000000000 190958982 52044545 21364497 39782113 1000000000000000000 613614175 534283938 55632250 331991520 1000000000000000000 520687004 54026547 11296040 332468117 1000000000000000000 980809555 551580996 75255658 403199875 1000000000000000000 365897621 345735806 192081997 120059547 1000000000000000000 903074828 483794999 463709727 576913884 1000000000000000000 61715748 37830878 32342268 48413186 1000000000000000000 737883007 670134685 185959661 220674485 1000000000000000000 144957857 79493674 71949234 114804100 1000000000000000000 658348219 267206774 166037757 501799143 1000000000000000000 230689533 213187662 119660539 41465419 1000000000000000000 303968791 91902102 51208213 252841695 1000000000000000000 955068413 362665771 936413815 596295811 1000000000000000000 464427408 352681583 150882561 424783529 1000000000000000000 729776967 197651972 117006570 397264158 1000000000000000000 112626640 109874386 26664934 100796912 1000000000000000000 491377949 276460812 142509015 355892792 1000000000000000000 871426112 119869336 841886051 444653464 1000000000000000000 190344627 35613069 46024593 113877720 1000000000000000000 238650033 32019741 106827231 43277565 1000000000000000000 519422400 104153727 304239831 211541287 1000000000000000000 705054019 649281987 15018436 507685124 1000000000000000000 548665068 111496063 463864984 510823710 1000000000000000000 40664601 2916791 13503306 5231876 1000000000000000000 379347438 36915643 107078492 122832838 1000000000000000000 515618876 130327085 508043839 250724491 1000000000000000000 716958747 543057506 344614224 509252621 1000000000000000000 5277898 815991 1551293 1991298 1000000000000000000 285517008 223006464 207616349 13556658 1000000000000000000 951400924 724821666 868284836 114992000 1000000000000000000 248114164 22191554 109906640 84069710 1000000000000000000 881229476 656153866 680968450 212929427 1000000000000000000 214780898 127400273 138288290 114080065 1000000000000000000 364848085 197126108 214724164 338240389 1000000000000000000 497482606 265630278 6621498 45397310 1000000000000000000 603324899 485101007 120988536 283377760 1000000000000000000 820324578 801197965 640794201 294338158 1000000000000000000 590963815 218804072 220744390 221980590 1000000000000000000 595936556 225751544 7806785 371063098 1000000000000000000 824910842 140913870 196461580 768804685 1000000000000000000 698032512 171602202 637243979 290482218 1000000000000000000 719824775 718695458 72272948 347929254 1000000000000000000 670480378 238689544 154900694 116487963 1000000000000000000 808197278 668840077 793398284 681726947 1000000000000000000 823054688 182940570 138061691 573322661 1000000000000000000 459851300 351820382 150060648 18885644 1000000000000000000 446733138 51188164 343700231 234762583 1000000000000000000 717976024 606641800 640842379 63489490 1000000000000000000 784200267 16971417 276904267 652939266 1000000000000000000 766601488 540569201 188163673 309695633 1000000000000000000 440010629 236209055 144944362 285169101 1000000000000000000 500202560 259654132 20237452 210787966 1000000000000000000 967467641 468756055 509336022 382211119 1000000000000000000 77396861 35718526 62501646 66718044 1000000000000000000 368803826 296856616 105955423 309631811 1000000000000000000 510970528 162706710 208465987 441920331 1000000000000000000 571171830 537887244 523501480 198682165 1000000000000000000 290555504 40045648 25853538 156315606 1000000000000000000 459251205 220233358 83502947 366956935 1000000000000000000 852240316 475615899 95311213 163734202 1000000000000000000 891929108 859173449 151805095 124645325 1000000000000000000 151261449 148018141 99838635 15057096 1000000000000000000 713990447 35978497 316786385 402198877 1000000000000000000 468791716 268139695 375595453 42412599 1000000000000000000 975897183 951542869 348689247 302374043 1000000000000000000 553416008 236805170 339851348 333902522 1000000000000000000 750283198 261600450 159939822 129001671 1000000000000000000 587310244 258870614 79147287 409287982 1000000000000000000 915689781 43609619 421737522 47788329 1000000000000000000 137274618 109337931 62431356 59705072 1000000000000000000 67158977 20440524 18932433 57410485 1000000000000000000 391534043 76726151 47445515 127136247 1000000000000000000 441826302 319813069 28526887 183244385 1000000000000000000 213131032 58754343 72041671 141162876 1000000000000000000 666714701 240685229 283001728 168824069 1000000000000000000 454481858 321343839 189113854 397296676 1000000000000000000 336545066 215397837 66944840 271512862 1000000000000000000 681572362 178313782 137272764 180857129 1000000000000000000 645518963 454656487 620841527 392214299 1000000000000000000 364909338 224897434 314970700 75725708 1000000000000000000 127707534 71360953 126171575 2821253 1000000000000000000 53832635 14825794 40598864 2594465 1000000000000000000 488235599 256106148 209245900 324873852 1000000000000000000 198123641 43855891 61943065 103069090 1000000000000000000 663887842 325633396 589567804 96421551 1000000000000000000 145929024 72951143 7558269 15152545 1000000000000000000 266580887 217331733 151607120 212750235 1000000000000000000 228173358 15634239 228038525 43856748 1000000000000000000 879730710 90304691 601927220 646298264 1000000000000000000 425880981 222916871 179979537 154015528 1000000000000000000 395879081 367702815 92424087 285052547 1000000000000000000 142282458 63860005 58932705 125693686 1000000000000000000 122251866 121355263 6747068 95645082 1000000000000000000 587696379 63675332 192677371 28679010 1000000000000000000 597868251 566925316 246949887 298170068 1000000000000000000 700102233 259139845 539888219 10593750 1000000000000000000 649782722 425264421 444675946 51027542 1000000000000000000 691797966 455880471 20813452 494008513 1000000000000000000 444677948 132265357 239639051 344465856 1000000000000000000 936404886 117129450 794130298 73794488 1000000000000000000 891052906 35678378 640722489 741792220 1000000000000000000 595285944 328765485 440561450 52678082 1000000000000000000 905614483 435143011 452001450 298334565 1000000000000000000 163018802 23356112 90091583 91449011 1000000000000000000 27263366 19114100 16856872 10915802 1000000000000000000 341082121 143962148 272172917 158407170 1000000000000000000 395268166 222427339 339750151 50777797 1000000000000000000 990109302 350426187 513828827 573190930 1000000000000000000 178001620 174373289 20870405 158565111 1000000000000000000 233598841 55574761 67632065 179044588 1000000000000000000 873277149 803259092 98169908 562401372 1000000000000000000 882734673 522262540 829642611 105802894 1000000000000000000 312785618 286433877 65760712 273756352 1000000000000000000 310108396 302859113 10387081 139387648 1000000000000000000 283168157 277534090 28227335 206758699 1000000000000000000 36596989 25989532 15160000 20305385 1000000000000000000 8320675 3143720 5112553 7494435 1000000000000000000 24868062 7326258 5486243 4827152 1000000000000000000 312545608 5357602 100726717 81175134 1000000000000000000 356496662 57481969 291853937 331380031 1000000000000000000 191104083 63364576 6493455 109636704 1000000000000000000 517944208 440267801 4165252 221805534 1000000000000000000 339465939 166283594 282614839 235718391 1000000000000000000 984178002 227536049 945624115 469398421 1000000000000000000 144302930 18912676 31082517 54161573 1000000000000000000 579055907 204370546 313674172 210839889 1000000000000000000 609479063 361620783 332338830 346926079 1000000000000000000 98550957 18321756 55167823 58124174 1000000000000000000 370437385 218773786 243581513 231344872 1000000000000000000 880346187 326776965 154234550 730505974 1000000000000000000 314719119 92198083 124450563 89155983 1000000000000000000 275500591 83912115 213772794 129317764 1000000000000000000 116727856 95115403 56904231 88826936 1000000000000000000 340991694 317252669 175538881 277630832 1000000000000000000 18760457 12776577 10192401 10327737 1000000000000000000 912382708 609796634 119739111 858249264 1000000000000000000 247006220 111649417 221829758 224781530 1000000000000000000 843135209 211975871 558635703 566013222 1000000000000000000 230708573 104533035 86738285 72160376 1000000000000000000 105503833 34974465 5241804 14182437 1000000000000000000 893091029 735839975 759119739 874333381 1000000000000000000 882163263 168544549 183147183 861185869 1000000000000000000 886326689 85757744 554669644 343725998 1000000000000000000 529218228 301331283 174080217 383103401 1000000000000000000 529172642 166292765 101183972 264849856 1000000000000000000 711225563 467077998 316822828 214718817 1000000000000000000 955667114 168667235 584920032 147706823 1000000000000000000 605764218 237368348 262284321 186678878 1000000000000000000 616494266 223338199 47483378 130632144 1000000000000000000 378901898 168355138 168353415 71949472 1000000000000000000 572948370 457589096 194357012 109772109 1000000000000000000 593687653 243046561 356446157 406424039 1000000000000000000 346552755 7756884 249046490 309046950 1000000000000000000 899670449 170274161 271915312 271139503 1000000000000000000 349213461 182482307 40528219 13224709 1000000000000000000 809641613 39468558 493276598 419650512 1000000000000000000 234483859 31954960 7648934 58270962 1000000000000000000 583192026 33015861 54544794 504597209 1000000000000000000 518123323 399042115 458112260 350473429 1000000000000000000 991542084 379633236 488677165 249172743 1000000000000000000 939666091 78757997 85286458 6395517 1000000000000000000 609791789 600479903 457459011 92646213 1000000000000000000 873792143 317136506 832664182 863833169 1000000000000000000 735643493 134414170 78955781 471007865 1000000000000000000 383300680 78849837 169310898 267560956 1000000000000000000 137872052 122279309 94076703 19687834 1000000000000000000 72870726 46713037 11591675 44077990 1000000000000000000 458692741 71899525 115093209 260060101 1000000000000000000 211077593 171460406 80381183 29476206 1000000000000000000 713798946 553117147 142673959 59248981 1000000000000000000 648821869 284688470 303012877 98148035 1000000000000000000 55162592 31219603 40344793 33998671 1000000000000000000 589767903 168356932 217243666 136717160 1000000000000000000 1148082 1107681 1061164 279701 1000000000000000000 257721575 33922714 17035027 41960428 1000000000000000000 745943999 181441920 475100502 240422567 1000000000000000000 942016837 481749048 388592749 676074151 1000000000000000000 107391378 40784532 87971517 46771407 1000000000000000000 994923316 747281079 721592897 786516868 1000000000000000000 170854773 18561625 85482873 149112476 1000000000000000000 758113456 525203854 749608724 338413278 1000000000000000000 423188830 127337264 174593374 77103494 1000000000000000000 510676596 252550338 306304759 239224557 1000000000000000000 672607189 342569778 500677144 451691571 1000000000000000000 400535386 98275724 127807267 196023842 1000000000000000000 705332431 402873396 613002032 486329393 1000000000000000000 320836051 57278949 2381402 219369200 1000000000000000000 644722738 49848564 448453495 127704398 1000000000000000000 50875940 28638583 19458918 25541634 1000000000000000000 164755643 134595498 102909067 26059034 1000000000000000000 764476504 223726154 265025328 717231990 1000000000000000000 334872252 156864040 314181619 242301367 1000000000000000000 395141938 269953907 393243140 44930589 1000000000000000000 368803495 290297257 217924364 51754389 1000000000000000000 770106664 455147015 197585986 625586503 1000000000000000000 598543059 15810647 42253606 490019828 1000000000000000000 636185148 123246032 108094786 334513649 1000000000000000000 421664055 5276741 411260940 69037986 1000000000000000000 916477727 307899414 594085232 568166382 1000000000000000000 668767272 463519281 339679206 84362542 1000000000000000000 548601112 207123675 310519678 188202604 1000000000000000000 521174262 104393181 40499052 29785536 1000000000000000000 931644852 9498872 622887933 38837555 1000000000000000000 843474219 651062319 739687776 583330676 1000000000000000000 202241210 12555382 175415453 102342941 1000000000000000000 958577579 544423281 308927943 407632017 1000000000000000000 203330978 68392523 99690131 145873177 1000000000000000000 246658384 79317620 28800174 202563737 1000000000000000000 801025258 513544627 291800260 799535074 1000000000000000000 279538572 278384386 226730451 180845052 1000000000000000000 940115581 679412324 364093269 36015636 1000000000000000000 642663060 63379468 65353216 443050097 1000000000000000000 587055994 35527613 324491605 191804882 1000000000000000000 393946669 128380243 363803305 156126056 1000000000000000000 838088425 262540675 705282877 142289117 1000000000000000000 458703755 376615013 449605649 356460555 1000000000000000000 616461129 88528540 199269256 314795230 1000000000000000000 354516237 244791638 112325888 245573033 1000000000000000000 257954636 27177975 153920626 80971482 1000000000000000000 258673950 237810194 88761817 9406364 1000000000000000000 885307865 605402739 692583842 497240192 1000000000000000000 51472959 40088340 26372210 11616991 1000000000000000000 835406282 242976986 692754486 827822347 1000000000000000000 326238618 322347605 208259578 62960833 1000000000000000000 875981960 419339209 752023335 650336303 1000000000000000000 294445974 243815850 265296631 208207992 1000000000000000000 864844382 71989244 314400607 655911330 1000000000000000000 44504411 7091077 42620512 13690172 1000000000000000000 633508461 575767958 227204684 212403923 1000000000000000000 232410473 170400615 97933225 161609276 1000000000000000000 898913295 769198465 60327723 527849439 1000000000000000000 257980744 38736938 205893606 59643435 1000000000000000000 459830307 87935648 362082803 212093063 1000000000000000000 387628236 168530398 306384423 67269238 1000000000000000000 397661371 85539566 183136382 219876094 1000000000000000000 509489414 406962535 318057359 437022298 1000000000000000000 33761894 9460527 25573688 31727722 1000000000000000000 79667623 61861457 46235556 55495944 1000000000000000000 755759071 547862778 309438913 568749903 1000000000000000000 753303739 381126365 691626225 665010989 1000000000000000000 36347767 11319118 28548427 12727648 1000000000000000000 507388491 330466546 7512556 337126819 1000000000000000000 333263720 228584493 36695718 219890622 1000000000000000000 786940520 506817509 412111339 358797013 1000000000000000000 395142229 172928013 300640588 78150622 1000000000000000000 175337579 100107705 154691337 124116958 1000000000000000000 839800873 377920144 781281531 832329351 1000000000000000000 405523839 305447342 139498128 248655543 1000000000000000000 139019448 36202676 58959163 2902587 1000000000000000000 68155414 14549718 13891845 38531102 1000000000000000000 668785316 340233030 305942672 467980754 1000000000000000000 618393961 325384855 141495870 586664093 1000000000000000000 682681865 576395752 82684617 335109391 1000000000000000000 308065287 264000466 59360093 130324641 1000000000000000000 294973399 233525996 185908381 247075432 1000000000000000000 221122305 185981976 42043477 144740466 1000000000000000000 811745732 277068225 18010884 509325457 1000000000000000000 402376035 390588364 365862227 334122560 1000000000000000000 370830652 119307741 159189991 19900121 1000000000000000000 814561401 338883806 556771327 261895549 1000000000000000000 268899409 25260786 19426527 96161290 1000000000000000000 384132274 300522676 116734732 180401713 1000000000000000000 809784922 751898968 60354128 509828364 1000000000000000000 186952313 56963551 586884 163542963 1000000000000000000 466626289 131120042 394403156 238074422 1000000000000000000 907398878 285863627 616054958 48523154 1000000000000000000 411999059 222101236 213334862 712905 1000000000000000000 39643686 10475419 1523901 2786352 1000000000000000000 112113913 26292095 36268790 97059836 1000000000000000000 2316704 1428392 41420 835632 1000000000000000000 885392506 278597137 705468783 85467748 1000000000000000000 513754512 177536101 493528139 455190065 1000000000000000000 723216789 17449810 40899601 166735077 1000000000000000000 177009810 51449167 109717908 163799881 1000000000000000000 115917180 87920959 88050986 94756917 1000000000000000000 448642448 170523934 107987390 365690506 1000000000000000000 303791062 299212308 191781589 67321543 1000000000000000000 104520118 62682342 83924233 34601264 1000000000000000000 915477445 130942462 347982088 181835121 1000000000000000000 767284009 747850569 247500101 124132424 1000000000000000000 26882993 17996255 1617673 6041108 1000000000000000000 918857970 723614599 382493778 612874986 1000000000000000000 345072559 199983213 156445961 110892210 1000000000000000000 295313016 17310700 34983022 127089617 1000000000000000000 851975114 815731900 828729788 121806125 1000000000000000000 932133037 43324604 862191442 117250943 1000000000000000000 757678163 180128365 210177667 629192825 1000000000000000000 985792086 369986674 395728637 444094767 1000000000000000000 950256213 733891677 438904456 904621817 1000000000000000000 259172452 120091179 230009363 136946077 1000000000000000000 239026390 150870623 55646948 15217188 1000000000000000000 101327892 71394506 93963443 56433520 1000000000000000000 797437204 622221171 668402477 239420149 1000000000000000000 464828620 239582102 155129541 229490665 1000000000000000000 17647354 15222038 10955855 5818930 1000000000000000000 379955302 76943025 25005789 190615274 1000000000000000000 467032105 277329383 107286269 49550032 1000000000000000000 760103225 339758247 32094104 247626658 1000000000000000000 417430208 80134073 115313344 285064521 1000000000000000000 786952149 124877175 9715127 495982888 1000000000000000000 382860191 296431224 180528711 159058062 1000000000000000000 514860849 344294407 470671756 401759541 1000000000000000000 752468090 615466560 503180053 644942853 1000000000000000000 79048413 37352940 31627886 21004438 1000000000000000000 617307555 11800811 324785307 335130334 1000000000000000000 546374969 133981377 529616426 121486820 1000000000000000000 984646088 478346460 118992859 773869664 1000000000000000000 9140375 6588797 5439786 3784101 1000000000000000000 64824610 50273068 23319601 13729953 1000000000000000000 637186334 157496192 512902157 121192037 1000000000000000000 484056168 272874893 345352539 285510379 1000000000000000000 778740119 288578854 776815857 420120051 1000000000000000000 846889574 82582106 625095414 302645099 1000000000000000000 997398827 317385471 659540181 896081306 1000000000000000000 71369255 46716233 7707798 59027576 1000000000000000000 787113688 497663902 139575242 285064191 1000000000000000000 21599431 20362653 1325838 6462030 1000000000000000000 451517686 405469859 192614273 48949869 1000000000000000000 583296408 124834821 319802863 122848880 1000000000000000000 999791736 199812634 10290786 913840484 1000000000000000000 76009209 34981227 60066512 56485788 1000000000000000000 346956385 160428044 98110548 330725159 1000000000000000000 969529480 635447212 413197004 190805963 1000000000000000000 146359730 81749493 102783496 69426428 1000000000000000000 646652895 250818890 524032735 247215935 1000000000000000000 215541400 103217520 111682719 98556475 1000000000000000000 880067982 632938730 676031200 822496799 1000000000000000000 246900692 26183950 39766141 96497759 1000000000000000000 405057212 321693003 156343235 237239431 1000000000000000000 487968514 346965144 452749924 239574825 1000000000000000000 211714954 60572497 24436709 126262493 1000000000000000000 715649826 554388647 332359913 568256849 1000000000000000000 635442132 362316814 128995034 239501088 1000000000000000000 755268958 596543719 427566753 26616321 1000000000000000000 353283762 78045657 323679615 47781631 1000000000000000000 231187938 200454424 219328507 191604373 1000000000000000000 70640871 49798755 38422023 6512326 1000000000000000000 352918894 311240260 163052058 158970901 1000000000000000000 560713708 456330677 144686643 394561267 1000000000000000000 874435327 437213038 277371302 168275921 1000000000000000000 236090046 175583463 67373300 234253335 1000000000000000000 718974916 514771893 406979692 118807335 1000000000000000000 61897439 53169550 23057530 10554801 1000000000000000000 686188174 319320436 641403484 289271699 1000000000000000000 337877246 320691723 85314968 171015471 1000000000000000000 679866259 513172321 270558916 72441054 1000000000000000000 920004021 225173619 548810814 459489490 1000000000000000000 684223339 624432533 417941334 47787032 1000000000000000000 477287534 253229213 60213036 431395112 1000000000000000000 737005200 443629002 266119794 420533516 1000000000000000000 292894266 225077609 201548291 184723863 1000000000000000000 17287774 13250986 6957664 11153396 1000000000000000000 840500904 61182177 16128532 601226150 1000000000000000000 681146840 492459551 234609998 579751668 1000000000000000000 372883853 286332 341930489 341262426 1000000000000000000 384775718 327981584 300100361 170612519 1000000000000000000 941692861 166931692 926282800 372903010 1000000000000000000 952095370 46550086 622193451 519446649 1000000000000000000 411709311 197689469 325387220 319013203 1000000000000000000 215927988 116673944 93006884 97075676 1000000000000000000 34531899 24460216 23737425 28443876 1000000000000000000 13568308 3711505 1802119 707191 1000000000000000000 537535871 413845795 330748623 127097326 1000000000000000000 123848456 15580902 107368282 34193081 1000000000000000000 872047404 592114225 827622327 774910937 1000000000000000000 859899120 412454782 791630418 436439772 1000000000000000000 368150244 24666905 59528887 118656229 1000000000000000000 55338852 49510496 33632369 26890203 1000000000000000000 230778442 72328073 111420442 165380748 1000000000000000000 242930521 53522032 96575157 141199130 1000000000000000000 454847539 437077115 359699015 428136635 1000000000000000000 492781943 289443372 76430157 286527708 1000000000000000000 947016037 788960637 707527603 107783567 1000000000000000000 262009698 178979173 5470188 161175573 1000000000000000000 87162195 44988642 35425085 45319526 1000000000000000000 113152110 103527270 81477973 101285992 1000000000000000000 350160572 11291092 260085672 204442430 1000000000000000000 926876558 326565310 777035342 641573595 1000000000000000000 541801144 339845923 31701582 433891794 1000000000000000000 310075710 177252590 268554348 236675218 1000000000000000000 79697824 64407628 6365591 57617137 1000000000000000000 508163413 234852919 1264113 195578893 1000000000000000000 668847503 653830209 153608263 328228859 1000000000000000000 71297486 26819721 67732987 42263706 1000000000000000000 775604618 150301167 614641477 568415049 1000000000000000000 136428838 34545320 132416860 22346035 1000000000000000000 255786054 249164344 49952347 7047325 1000000000000000000 287259889 196984604 99383350 28900033 1000000000000000000 528892309 319798181 219195943 291676947 1000000000000000000 102160404 80702932 87806832 81183622 1000000000000000000 26311891 11018241 8066175 11960845 1000000000000000000 905847050 338927241 732422960 225772811 1000000000000000000 251024828 130705 126961740 123406016 1000000000000000000 887642808 254329345 67263803 872498924 1000000000000000000 293368046 208844445 52769398 153419693 1000000000000000000 326697721 17650 46203490 21723671 1000000000000000000 663100982 137601865 255362006 615213242 1000000000000000000 683610087 668598558 476890545 521818755 1000000000000000000 372261118 329882492 100770213 274414160 1000000000000000000 23927411 21280666 21872717 8955432 1000000000000000000 353414299 68400220 180220246 236699951 1000000000000000000 522030471 205151753 21058475 391943147 1000000000000000000 931074414 832856142 784574148 411900587 1000000000000000000 24472932 22282437 15859402 189276 1000000000000000000 957434470 824268798 335245304 8612871 1000000000000000000 488491951 456158359 32127747 430358126 1000000000000000000 17285893 5442370 2816722 10865925 1000000000000000000 792169999 472622249 618599498 553092200 1000000000000000000 634660552 276701351 131247176 319717431 1000000000000000000 357474527 230190053 219038582 44546898 1000000000000000000 580393331 417030460 339792141 561715240 1000000000000000000 684160674 463560618 77428430 382801787 1000000000000000000 719924753 99291045 562345707 671517039 1000000000000000000 292144406 184015558 2414237 251701590 1000000000000000000 986739733 592882183 971303152 16898574 1000000000000000000 77000287 7631183 40303505 34025370 1000000000000000000 2850870 909127 2480403 351945 1000000000000000000 899718432 163287066 859002234 352455886 1000000000000000000 384134997 12419173 326373799 107367083 1000000000000000000 982698992 264814457 194532931 589849922 1000000000000000000 735382330 721835847 236948924 487311462 1000000000000000000 64877888 3458303 55772198 48504712 1000000000000000000 679613279 140245001 182524706 624395256 1000000000000000000 784023808 742362718 546213919 50205702 1000000000000000000 976744944 331083342 268403630 393024483 1000000000000000000 390820206 171152190 193893992 248310918 1000000000000000000 383132747 88654414 58922397 166574079 1000000000000000000 190043473 64761811 152130327 174817552 1000000000000000000 887546077 775211754 253386283 240284067 1000000000000000000 415814711 399066634 304700865 211977641 1000000000000000000 325608087 288346218 86896124 314425877 1000000000000000000 563001475 296353425 305345338 352093159 1000000000000000000 157865827 114838249 14304547 63013631 1000000000000000000 597939331 343020354 309451391 568218475 1000000000000000000 611753194 487704699 510565585 520407508 1000000000000000000 773775962 496869358 724449725 506807987 1000000000000000000 229890934 24508086 31890694 49099470 1000000000000000000 75321349 18047281 75261050 31709767 1000000000000000000 129783179 9657031 106867414 14058542 1000000000000000000 850631961 155041618 187455183 539277989 1000000000000000000 975626843 875119635 946450106 425783279 1000000000000000000 212183230 181488114 56442978 6309840 1000000000000000000 515926010 63229637 344126029 49313473 1000000000000000000 33810992 14982710 30499394 4407285 1000000000000000000 725316866 178374397 660588814 359885487 1000000000000000000 488455619 151261088 31541725 157958335 1000000000000000000 115381747 91237309 14173547 25587094 1000000000000000000 52804526 45092508 24379284 32604646 1000000000000000000 35934054 6648771 15880392 14706625 1000000000000000000 589508178 75137488 310340012 89910386 1000000000000000000 576258585 215275556 160516128 112727308 1000000000000000000 696068749 169393519 373476750 64436277 1000000000000000000 470811251 129720238 167281736 368818838 1000000000000000000 212562733 54030303 103533781 73595371 1000000000000000000 431461785 367811590 272793257 151362279 1000000000000000000 636969394 193348760 239643609 556322891 1000000000000000000 373113550 285745755 82637742 158590203 1000000000000000000 750436122 514041053 53669563 102076472 1000000000000000000 788395897 513562801 217156239 562292290 1000000000000000000 227901710 188757858 129409836 127421695 1000000000000000000 955612962 166006910 881876849 212646154 1000000000000000000 42574357 18114650 21770615 19133225 1000000000000000000 696573803 370884480 546802356 377730729 1000000000000000000 462295908 353255739 294235987 415626585 1000000000000000000 467335369 98644260 446304656 388349855 1000000000000000000 303265810 233675795 175157353 20550685 1000000000000000000 776789431 346702788 126588396 135545652 1000000000000000000 889718996 821435699 535559364 522353605 1000000000000000000 979971716 713437275 144803723 552063714 1000000000000000000 839802537 517980313 367001828 808567383 1000000000000000000 823164566 409485989 488043528 778944224 1000000000000000000 331696297 182311313 306308967 14805537 1000000000000000000 485605057 103117859 163152596 141490349 1000000000000000000 708495034 48801742 533774553 108858526 1000000000000000000 485188129 484051432 99326109 189883001 1000000000000000000 614333102 163660514 288409028 236524705 1000000000000000000 219215198 211628241 132692215 68241338 1000000000000000000 189090643 38186355 109702221 139537302 1000000000000000000 692433352 147099049 683738895 33504697 1000000000000000000 881656559 227456668 775721307 101954741 1000000000000000000 38729506 19535913 20825915 27012325 1000000000000000000 39047681 22557115 15710537 12559402 1000000000000000000 162671450 123406034 28987781 160066152 1000000000000000000 568564650 280077091 528127698 221676671 1000000000000000000 697933767 381402914 203893123 278309246 1000000000000000000 179721303 154034045 58617860 14029249 1000000000000000000 215620269 22681341 50113842 201935248 1000000000000000000 320817822 287958861 298744703 297745868 1000000000000000000 530718244 334236364 238624903 21488484 1000000000000000000 38812266 34798183 12426748 17635725 1000000000000000000 923859115 780991282 852556964 883264145 1000000000000000000 325115400 309157622 320470082 222835959 1000000000000000000 117163023 86458396 5729394 8501154 1000000000000000000 802109277 591788181 306305353 77594624 1000000000000000000 512258867 255306629 402139153 499409064 1000000000000000000 898806066 483079354 10399530 246501908 1000000000000000000 277928692 139391447 76303121 93401347 1000000000000000000 475244598 445330263 122300133 428347528 1000000000000000000 474486111 27237734 302696578 302259175 1000000000000000000 177091695 96344580 30410434 172716190 1000000000000000000 155387674 36035777 32241229 107688202 1000000000000000000 6791585 5546680 2359403 1659899 1000000000000000000 81576198 72723517 68315725 40908830 1000000000000000000 493504153 488834932 324517420 159258900 1000000000000000000 334042948 325598092 100186733 239348713 1000000000000000000 288691924 229272185 190390626 197645102 1000000000000000000 364007369 332083189 150443120 3503471 1000000000000000000 3974425 915930 499735 2396461 1000000000000000000 700691134 81818220 58201380 563816468 1000000000000000000 76807878 43044764 49743241 68971128 1000000000000000000 5057913 3891306 2334397 3772298 1000000000000000000 899273344 646555928 513327685 656576784 1000000000000000000 211785399 99440526 144919678 53886618 1000000000000000000 706408997 645801325 599290401 325095245 1000000000000000000 55728071 19102303 45404644 26055616 1000000000000000000 952569253 830962653 307792276 436727271 1000000000000000000 118317520 90786673 114378235 1007219 1000000000000000000 66494101 22996320 43067483 9376672 1000000000000000000 701094548 260391071 652971432 423645094 1000000000000000000 715881007 115064773 127709356 260071104 1000000000000000000 406243829 325416432 348712827 291225740 1000000000000000000 136306185 53142963 60179486 15667572 1000000000000000000 444113765 31855887 192142180 29492535 1000000000000000000 719730360 455149426 686072680 319646007 1000000000000000000 170968820 134288939 5003930 120407955 1000000000000000000 889831307 131801114 535809903 18605559 1000000000000000000 622448254 45015807 5959007 212323800 1000000000000000000 352690575 108745238 57694583 324192804 1000000000000000000 767784368 489535725 719944932 257063447 1000000000000000000 629768201 253820854 232944650 38358364 1000000000000000000 857708553 477018220 744634763 363234218 1000000000000000000 129148305 47666139 7748023 84310380 1000000000000000000 468677107 301224163 267658090 370082878 1000000000000000000 886975166 97308094 97639610 124458502 1000000000000000000 810964748 27390231 36211664 795351037 1000000000000000000 394866759 360671636 110991382 144329281 1000000000000000000 645569075 445922570 214155473 10789963 1000000000000000000 81305248 63112324 27116245 1726405 1000000000000000000 233591920 63289694 125973529 95096505 1000000000000000000 283792563 218273703 178988504 28786071 1000000000000000000 603480146 283732318 506876126 426470067 1000000000000000000 923540521 838362778 20921590 320802114 1000000000000000000 662252162 71974714 474447157 634370645 1000000000000000000 973992297 718456552 85337634 929354539 1000000000000000000 778945999 74234717 459576728 390760867 1000000000000000000 813158229 675690590 163030894 486604030 1000000000000000000 574000942 272240843 368193252 62966719 1000000000000000000 333504337 316726447 295924743 173420798 1000000000000000000 463063024 759595 25072511 253206223 1000000000000000000 963819275 652735459 466437161 511690907 1000000000000000000 582853340 127883244 291593645 432689693 1000000000000000000 242682883 199461596 112032006 145866311 1000000000000000000 807393550 153783690 157234057 558291390 1000000000000000000 280048261 66168320 19965115 230015201 1000000000000000000 786428563 181817997 246539416 329803827 1000000000000000000 122340723 31612932 30276001 109788682 1000000000000000000 538614582 393114518 161566595 41714844 1000000000000000000 555817853 18981989 4799182 82125160 1000000000000000000 25579491 14956595 9123442 21695206 1000000000000000000 535072842 316504834 161984113 339187026 1000000000000000000 463566235 288696605 446216098 230704213 1000000000000000000 877289704 55208932 289627087 524078823 1000000000000000000 207457910 60196006 145281667 88603123 1000000000000000000 715035574 671769386 641428016 297859229 1000000000000000000 659470184 200330364 511305241 656372912 1000000000000000000 788525981 410401297 787025345 5793381 1000000000000000000 936551417 295752703 69048172 223863419 1000000000000000000 641495738 130911246 632200219 26354692 1000000000000000000 716812240 113985886 603652274 227832118 1000000000000000000 398458362 101423242 390927448 333446811 1000000000000000000 601597294 305357330 455096105 487395009 1000000000000000000 502295063 265173077 415630416 84225977 1000000000000000000 953867501 501867337 757182217 378501366 1000000000000000000 170134437 113979574 83146928 152072000 1000000000000000000 825042406 611724461 183691063 306821440 1000000000000000000 524395416 131846413 267294191 268719236 1000000000000000000 688136999 163100027 54688023 643986928 1000000000000000000 12437977 6228287 11048062 6741326 1000000000000000000 374329463 248441155 208372053 105180488 1000000000000000000 462553109 80656928 411057805 70940174 1000000000000000000 479426923 376515987 166858044 37478922 1000000000000000000 797136906 136788081 570297754 464512195 1000000000000000000 687796967 170747406 53797281 514228090 1000000000000000000 990434247 650918786 764231817 725764816 1000000000000000000 859230868 46640351 12437393 805417336 1000000000000000000 732024162 53263813 441335871 41537628 1000000000000000000 471666262 443373013 145415089 407780409 1000000000000000000 163104574 125463200 20949106 43261292 1000000000000000000 34300007 4282756 30200499 2808778 1000000000000000000 187207103 35629920 153091428 126454616 1000000000000000000 302381541 50381890 95108555 101201106 1000000000000000000 972026288 111143513 236052717 803972810 1000000000000000000 447086089 165957316 265871598 55826181 1000000000000000000 790100563 513873511 746378209 170380616 1000000000000000000 139493871 130487391 1271747 7903677 1000000000000000000 301644900 173320679 84637525 104703684 1000000000000000000 232224520 123592669 226630226 138874651 1000000000000000000 160021698 27058004 70583531 94769456 1000000000000000000 420456039 132432895 285614246 32336551 1000000000000000000 897789849 272173372 479168462 384761274 1000000000000000000 57599104 50337053 16941254 14738543 1000000000000000000 492293680 181289861 362234015 622069 1000000000000000000 612996390 298290859 276294590 376391151 1000000000000000000 386421492 31787063 108458763 119743197 1000000000000000000 25393969 8291141 16461312 6692047 1000000000000000000 10445375 4690733 9144849 9226974 1000000000000000000 382106359 134456235 43262012 89105702 1000000000000000000 699178478 145721578 363678151 536045952 1000000000000000000 928204293 155627412 411281964 890176243 1000000000000000000 799032736 166678748 699706117 292610190 1000000000000000000 906262949 509114279 613197379 453459643 1000000000000000000 620626639 336443306 421400819 193905266 1000000000000000000 985396346 293316731 164125153 279087669 1000000000000000000 717128280 350757215 69827536 116365311 1000000000000000000 357001902 159864286 220329953 330688670 1000000000000000000 100344662 55407231 16604531 27295054 1000000000000000000 496640072 32931552 474096191 226557063 1000000000000000000 442909935 377137515 89863339 83540817 1000000000000000000 688268873 325795277 190668033 591705352 1000000000000000000 42202300 17455950 17424178 22056149 1000000000000000000 353053512 298521517 42055925 96262542 1000000000000000000 653492332 286154551 558168881 186245627 1000000000000000000 90711311 53895293 41123122 7457928 1000000000000000000 360065384 247792559 104517874 24012180 1000000000000000000 931861544 325855515 855728930 325731410 1000000000000000000 673724407 454051519 611155034 164625942 1000000000000000000 692679255 445399732 349002997 252794120 1000000000000000000 202349314 70590104 119298430 141232538 1000000000000000000 948685792 542546497 57251624 827499641 1000000000000000000 97984345 59048014 77514340 14573013 1000000000000000000 50827014 33292010 12385969 42494213 1000000000000000000 527096588 98806307 453802744 24534970 1000000000000000000 464854667 233293031 281024586 175802928 1000000000000000000 941464578 247184706 171715871 784650166 1000000000000000000 719863962 286567141 140488698 174715777 1000000000000000000 732282703 59645859 366305863 306346476 1000000000000000000 564804650 387093763 294304125 513768893 1000000000000000000 196391012 109634304 25475218 161332068 1000000000000000000 954020502 638009032 456547599 905030973 1000000000000000000 667870978 280904216 563309960 201412348 1000000000000000000 350746799 319692205 299659838 119345133 1000000000000000000 882484058 635482143 454588697 431291020 1000000000000000000 482781118 322600791 382364577 7813672 1000000000000000000 41806015 33988372 12936704 6749973 1000000000000000000 713393203 560791340 13253973 94452169 1000000000000000000 888845816 187358986 278660435 503939257 1000000000000000000 395393769 141349804 58636296 256651953 1000000000000000000 110916748 45681492 28641769 73180786 1000000000000000000 741669470 348255086 738306094 30791252 1000000000000000000 815926427 457763613 499068061 676898758 1000000000000000000 684698947 620311637 88219420 16512804 1000000000000000000 781904261 495525214 218499574 660078349 1000000000000000000 951386775 633631490 73722287 674924899 1000000000000000000 546914836 415925938 247604216 291952474 1000000000000000000 545946043 538387416 1067602 531721200 1000000000000000000 386276445 189437643 374098612 51426295 1000000000000000000 903377622 644803745 246107613 886308605 1000000000000000000 271949740 39754101 28007085 126789663 1000000000000000000 88587075 68646049 4865824 31391598 1000000000000000000 128266499 78536453 34790293 127307100 1000000000000000000 105230930 4531192 7693056 78170931 1000000000000000000 581323866 281633578 31310573 130003941 1000000000000000000 435891933 112337674 374058586 381747202 1000000000000000000 70796051 1943816 33656329 38674254 1000000000000000000 538636391 365746007 178914426 287404342 1000000000000000000 549414050 414830492 117071024 97367432 1000000000000000000 777148594 31150043 129458943 641331937 1000000000000000000 285815381 21012007 233727447 261784602 1000000000000000000 409804441 78197487 181866745 162209454 1000000000000000000 795012663 582522250 731254511 611197111 1000000000000000000 363849232 149916385 111973715 17234939 1000000000000000000 191444602 62243516 72834999 120278888 1000000000000000000 691987926 375432461 467150875 448165075 1000000000000000000 224040790 138758435 142610971 172007299 1000000000000000000 219770350 211504766 183160640 192453069 1000000000000000000 700770255 278314589 467207586 243126915 1000000000000000000 978356635 363232771 166197502 617755956 1000000000000000000 661385529 146185238 377500627 258409713 1000000000000000000 241419807 18518650 132793039 25869204 1000000000000000000 77291648 59557114 67882220 72236479 1000000000000000000 812680106 390684183 40197954 648594400 1000000000000000000 773312405 14258750 361062992 150477631 1000000000000000000 437522030 316330476 85134412 252466063 1000000000000000000 191322560 149783505 20845979 29445576 1000000000000000000 912870505 908522478 565225569 611908853 1000000000000000000 301809399 201801782 232922083 71360641 1000000000000000000 138607979 135550225 78811062 35407473 1000000000000000000 437597703 69294278 270374310 113688305 1000000000000000000 773792460 29180579 426078973 205415289 1000000000000000000 868551286 797561508 830279587 649900988 1000000000000000000 865924763 507592227 98769453 388877748 1000000000000000000 971439338 36294919 29011222 255296629 1000000000000000000 472344368 316343526 172251183 247250977 1000000000000000000 397437639 314090603 19588109 152873887 1000000000000000000 793087506 711075088 262400488 14676208 1000000000000000000 497823261 115226453 88303714 272110238 1000000000000000000 244247936 7648803 179827515 68067153 1000000000000000000 493243037 341703034 100082993 4674750 1000000000000000000 181344286 11034525 108839655 81434897 1000000000000000000 567160198 494914457 33093881 540271096 1000000000000000000 31845643 13337942 18964599 14261692 1000000000000000000 902002703 712642807 670908804 624421509 1000000000000000000 433702156 21368946 233685859 33493146 1000000000000000000 719787203 570418983 504011100 291109708 1000000000000000000 19791233 10124069 14289530 13365960 1000000000000000000 650167168 134784827 523814761 568309964 1000000000000000000 754433136 378319179 133825922 563110742 1000000000000000000 175826732 47296891 25340845 59374465 1000000000000000000 714693264 709984428 457626110 198494136 1000000000000000000 476362425 406313152 80011384 422816409 1000000000000000000 346113395 233557825 59180231 74345224 1000000000000000000 221707366 175531067 209182740 6171674 1000000000000000000 526983790 99140642 435931510 20898221 1000000000000000000 588130090 243901998 541625294 192624313 1000000000000000000 729554520 132742444 75802861 681424687 1000000000000000000 450396265 89166438 177372430 159301800 1000000000000000000 82558669 29858166 32596114 10300908 1000000000000000000 600422322 72425188 550122637 508898529 1000000000000000000 958461039 646250222 188865242 941381673 1000000000000000000 168882419 75925964 37832827 149637396 1000000000000000000 137297006 60996297 33946072 65211385 1000000000000000000 992322693 424867799 588331534 44408696 1000000000000000000 594061601 542564233 381038003 351081886 1000000000000000000 468671006 419896038 97113959 353791326 1000000000000000000 331568303 323115792 73593181 152391748 1000000000000000000 211863591 77472854 100907333 108502585 1000000000000000000 220453374 23368950 90929687 178915676 1000000000000000000 950898483 167909057 417314992 496557728 1000000000000000000 230779951 129636854 121964240 144610419 1000000000000000000 36170506 35194250 32774846 16485901 1000000000000000000 104934017 15133876 82235546 13625635 1000000000000000000 304300708 21736675 193124167 125072011 1000000000000000000 952142738 369559603 349177183 867454352 1000000000000000000 88720218 40137052 57151710 70806338 1000000000000000000 975604710 630138185 793016685 605865236 1000000000000000000 723620355 32471839 223800471 21938017 1000000000000000000 522790344 421740521 285471819 85381474 1000000000000000000 846593445 701441688 71419572 469869824 1000000000000000000 472304271 369848656 360739200 211041675 1000000000000000000 237143759 143108723 161431221 125312550 1000000000000000000 439326944 160707407 74175610 273280188 1000000000000000000 176254548 28921084 87919878 118744123 1000000000000000000 342766520 166618795 225852878 310552058 1000000000000000000 868727665 370647919 608487478 763763562 1000000000000000000 36876658 29660365 3570986 8493522 1000000000000000000 52459621 19071546 51407149 37069366 1000000000000000000 48142317 9356706 35475313 37748837 1000000000000000000 953595705 759184832 721338320 702308116 1000000000000000000 932564261 343320693 455121206 28876587 1000000000000000000 45241252 22515992 33100966 34702338 1000000000000000000 165773844 86428559 93050607 25960019 1000000000000000000 952459881 5572040 453944200 671141475 1000000000000000000 797935870 196466123 176830639 448700377 1000000000000000000 393503036 261679402 311675338 29542303 1000000000000000000 122551043 63767960 115337074 48905787 1000000000000000000 289869564 8316119 190118657 144285239 1000000000000000000 438552437 425848161 351104498 252037861 1000000000000000000 149085421 60523323 101396807 142319136 1000000000000000000 659681857 229054745 596741879 75438097 1000000000000000000 787724825 7796122 669785864 52052546 1000000000000000000 65553645 14218785 29689580 17403847 1000000000000000000 791499878 239574682 406940709 538857897 1000000000000000000 851880789 180221363 259119072 553872953 1000000000000000000 391865739 255906961 318897718 276692853 1000000000000000000 694525412 446540663 539170395 248419151 1000000000000000000 462714733 52372709 224419065 259869103 1000000000000000000 644331838 461466159 469501003 171124631 1000000000000000000 638222973 120382020 216881713 97099007 1000000000000000000 799406886 715199143 585935192 157503370 1000000000000000000 733133054 181717876 193985617 436238375 1000000000000000000 653349814 316181366 289142491 634623966 1000000000000000000 500949 169417 19163 474076 1000000000000000000 800435754 56802595 365932319 505747230 1000000000000000000 225469797 69390377 15336220 159903491 1000000000000000000 406668174 277179513 127141463 304508073 1000000000000000000 371341578 188058088 138357301 123805880 1000000000000000000 738114572 222947662 30716099 273451692 1000000000000000000 447876184 213782569 83616910 388861784 1000000000000000000 476012098 378683079 474547878 403984430 1000000000000000000 845282704 299057577 588089257 816020627 1000000000000000000 208270289 76002501 204703355 17109284 1000000000000000000 588386698 174508979 482551920 61965099 1000000000000000000 194762396 159222105 79441609 51229027 1000000000000000000 387376804 230463535 132413329 262826670 1000000000000000000 921655681 491815640 557560199 597611572 1000000000000000000 735432764 732167335 133785336 233676544 1000000000000000000 598754837 87039304 477351047 458449663 1000000000000000000 672360182 120085906 289039046 278712059 1000000000000000000 493643122 8143704 294986403 482515100 1000000000000000000 704187997 7417182 442474647 551474196 1000000000000000000 933068206 12968615 278432767 536554969 1000000000000000000 281773577 267284478 149201848 215867689 1000000000000000000 681136421 176759105 205489034 380263764 1000000000000000000 874667379 680442976 235514062 400876040 1000000000000000000 419741366 184540070 306082407 30672741 1000000000000000000 65049218 3587176 38127780 23598954 1000000000000000000 873783136 346218852 860018430 16447999 1000000000000000000 980317642 557189274 646978297 309626860 1000000000000000000 477015593 328921277 269194254 13899829 1000000000000000000 431494435 417234297 327390067 405688792 1000000000000000000 61293176 18441709 33195953 53442370 1000000000000000000 522504334 365400726 314437657 41818690 1000000000000000000 122425436 1979613 47706038 53047381 1000000000000000000 285325602 214077960 168734979 41570885 1000000000000000000 516928262 225776942 56726937 185187774 1000000000000000000 291785792 257351328 155352426 126366342 1000000000000000000 660922391 529190583 558882603 448649256 1000000000000000000 147913652 30682907 78350295 68855303 1000000000000000000 463159075 38288161 16194204 68224130 1000000000000000000 924514543 482758694 274047543 262907295 1000000000000000000 251683058 31494947 16542447 174628010 1000000000000000000 912039861 463268020 15391211 411028317 1000000000000000000 512314981 233658462 399270943 329450922 1000000000000000000 499166 351562 72985 473438 1000000000000000000 489623655 449242344 337473203 99753805 1000000000000000000 264992427 129675767 176907245 256459226 1000000000000000000 764911266 463120503 203648618 166911428 1000000000000000000 668454195 75350949 207870384 155410452 1000000000000000000 514990008 181507720 427293466 232589783 1000000000000000000 979818868 419045205 777679659 39514820 1000000000000000000 339376675 169407938 104682737 149941931 1000000000000000000 586561653 37661062 527303457 26754320 1000000000000000000 767084092 355072977 417423762 578417802 1000000000000000000 179515930 129628097 1407798 14855911 1000000000000000000 518260844 79545943 309995628 481845292 1000000000000000000 436900257 9739863 235503231 423198522 1000000000000000000 978750136 662232527 737273679 260011085 1000000000000000000 237477087 149771948 64738239 97000935 1000000000000000000 720828675 110125990 157279474 644849335 1000000000000000000 175248390 105532393 147905214 173661755 1000000000000000000 924146004 924116189 834838471 353279288 1000000000000000000 326611401 214712876 44042338 205238476 1000000000000000000 925642157 702877463 821152187 456983679 1000000000000000000 310265131 232091219 27496275 180447451 1000000000000000000 825834257 473491361 763674636 307355786 1000000000000000000 376001778 283138997 294363734 295982964 1000000000000000000 517115113 263789595 283217840 363383272 1000000000000000000 194320871 155825829 129226216 160546604 1000000000000000000 83221630 39712722 35190705 9044694 1000000000000000000 783905293 719219198 261611555 724331566 1000000000000000000 439979772 129577696 291385739 377607142 1000000000000000000 518693160 238615454 246863083 204337428 1000000000000000000 968662227 879434939 556575292 347046749 1000000000000000000 510472072 120731349 232719705 23227678 1000000000000000000 863525531 819880272 720917881 364924703 1000000000000000000 618671475 611066725 345492384 570210881 1000000000000000000 902926196 873918203 689192173 698283036 1000000000000000000 386563971 47235331 378432443 324082818 1000000000000000000 258650883 132523288 147057507 209571043 1000000000000000000 677863167 1505712 252345954 133618119 1000000000000000000 661381870 401721419 600385189 512598352 1000000000000000000 600551126 442460224 101858242 80940540 1000000000000000000 288149559 148768966 155108284 145023479 1000000000000000000 530903599 450476673 324855682 382896379 1000000000000000000 413313076 9353757 272367985 116018096 1000000000000000000 691928248 185031935 11895720 240185888 1000000000000000000 33364011 17474570 29544521 408348 1000000000000000000 29837216 22322826 25740197 17593672 1000000000000000000 807048020 186136217 652347708 266590729 1000000000000000000 891946582 516513206 352734108 763922066 1000000000000000000 805354899 484268717 693741507 289624588 1000000000000000000 93843375 31576674 24108792 80964181 1000000000000000000 85716659 48729289 32806142 6447253 1000000000000000000 138192717 18354269 3804886 42005883 1000000000000000000 761549064 683366474 744529880 375159393 1000000000000000000 836121872 518929785 607991796 621872633 1000000000000000000 14376069 1388214 4154177 6960834 1000000000000000000 551281163 278459470 215438452 62623979 1000000000000000000 505070140 424329845 121905749 262134961 1000000000000000000 135432293 57754359 11283955 49651817 1000000000000000000 110860133 78027462 66561690 18748144 1000000000000000000 123399378 50723458 59783730 71912461 1000000000000000000 886236306 30241021 222966237 862694637 1000000000000000000 467207618 56960363 215478202 18641361 1000000000000000000 26707489 13785299 4621410 26126031 1000000000000000000 686551992 600993373 42330779 139308554 1000000000000000000 253082461 100498006 78482936 46510352 1000000000000000000 381696991 128400085 154082334 276571049 1000000000000000000 301466915 69153072 89067086 147412170 1000000000000000000 114528974 55817282 34494195 63625773 1000000000000000000 857969885 385274718 663857121 380462334 1000000000000000000 626696655 126397040 343235902 455684683 1000000000000000000 71289672 69820583 59811119 18814697 1000000000000000000 513853058 333147967 175961497 98211445 1000000000000000000 601302249 555661970 415860285 423310980 1000000000000000000 546740244 309152951 165842770 375861784 1000000000000000000 871219428 116054740 755139460 744804797 1000000000000000000 323117600 162981658 31566793 205317039 1000000000000000000 167474684 81575965 52259848 102836529 1000000000000000000 30037917 10458088 27241543 22803604 1000000000000000000 941140798 804866009 819669230 768496867 1000000000000000000 924130521 688551363 690694154 359800758 1000000000000000000 373701708 87051113 93488698 274963776 1000000000000000000 64859748 41745401 36060893 60638322 1000000000000000000 166735067 109420517 112965652 63676060 1000000000000000000 352149285 251498502 241839728 62128993 1000000000000000000 426044975 264995940 254473141 262679391 1000000000000000000 800768344 88962853 711428956 474914036 1000000000000000000 622411860 402318767 369431225 244316316 1000000000000000000 812889260 670261757 7328916 661965025 1000000000000000000 712810047 238974121 509092398 649130879 1000000000000000000 386422817 14102334 70039770 45465855 1000000000000000000 248292652 34230536 7196815 169287571 1000000000000000000 882608340 652377783 556847006 419627402 1000000000000000000 903309639 137144387 82970197 692920710 1000000000000000000 8135296 6227084 6679529 6636041 1000000000000000000 258712421 93552429 149247963 201432366 1000000000000000000 520914332 64422209 91403097 166458261 1000000000000000000 637092243 159545421 27528583 235286656 1000000000000000000 11640842 7068297 10565477 2735834 1000000000000000000 75512417 45133907 21267243 40292502 1000000000000000000 608650868 279494257 412430448 358186471 1000000000000000000 24374599 15787465 2545708 1769260 1000000000000000000 273468894 69208072 61866160 251176717 1000000000000000000 99454442 92156168 93988106 77730230 1000000000000000000 862321853 206947693 133533104 256384502 1000000000000000000 166331076 2898006 122753116 46526537 1000000000000000000 682281628 353459715 505938726 289086952 1000000000000000000 411609622 187667946 357311845 252928812 1000000000000000000 377861132 204366753 228193271 348500970 1000000000000000000 660506718 18310784 632926948 254839592 1000000000000000000 75801883 14089623 51668442 6467510 1000000000000000000 525440779 116824776 277584012 87980333 1000000000000000000 77806202 10136894 74186154 48136553 1000000000000000000 932841252 155943018 651584365 587946843 1000000000000000000 814573516 789592230 36864902 537278575 1000000000000000000 279729349 238910548 64963779 246984322 1000000000000000000 317228004 800393 21684215 271494457 1000000000000000000 896931045 103214186 104240841 684868748 1000000000000000000 451572933 110118801 283162619 243886456 1000000000000000000 723374191 346637829 203564784 30633662 1000000000000000000 898902138 133621078 195086203 21508801 1000000000000000000 890097673 837089284 769284395 825632681 1000000000000000000 287540696 112191081 153009628 194422142 1000000000000000000 657069043 199039204 77466313 441422503 1000000000000000000 433054731 418843019 214076067 371648194 1000000000000000000 52859907 38010230 14786522 50661464 1000000000000000000 404408858 169516712 36393452 298597845 1000000000000000000 147525743 125889763 98974339 79918382 1000000000000000000 783561564 586110861 600729328 2069401 1000000000000000000 768392843 444815248 628755792 284503565 1000000000000000000 717170599 422424660 79111076 325558531 1000000000000000000 805179467 509040608 420862160 543167162 1000000000000000000 531051682 332213233 418922842 130701581 1000000000000000000 567896610 414699399 129686303 158759883 1000000000000000000 713237645 213995546 341325447 333743485 1000000000000000000 947162492 269979301 347590908 914091895 1000000000000000000 498890762 197996137 329065885 387014532 1000000000000000000 229741780 8678054 45010121 198184215 1000000000000000000 674879753 137762196 326154154 65708936 1000000000000000000 11973232 11313208 937126 102800 1000000000000000000 2803685 2414950 637672 2153756 1000000000000000000 682391267 670847689 346225539 329975590 1000000000000000000 763071809 499004309 639059716 212193171 1000000000000000000 913988142 848834790 438053563 431912795 1000000000000000000 779430301 292940398 449750232 659362127 1000000000000000000 863886030 403601528 168993240 413488309 1000000000000000000 134861994 107602506 7770680 23128650 1000000000000000000 831240141 413537557 377632921 34380536 1000000000000000000 836648380 390223562 9479422 113091657 1000000000000000000 50009678 12782836 21388000 46238008 1000000000000000000 389332668 14764396 201074980 49822743 1000000000000000000 382600872 362540685 263824734 6553086 1000000000000000000 389715149 134310615 235398926 316157757 1000000000000000000 820476096 620923488 571422844 279029354 1000000000000000000 783339917 136565968 685198837 282190882 1000000000000000000 782719114 403554231 353656113 229470276 1000000000000000000 699849869 619981129 128250398 475971510 1000000000000000000 116433471 45518542 76091645 78386959 1000000000000000000 865668403 727328582 506426928 509523328 1000000000000000000 765427577 223070647 126185930 672696306 1000000000000000000 753994720 663631124 652141618 108825381 1000000000000000000 401698424 44526272 178846965 382049556 1000000000000000000 171684808 166035178 157315666 65442682 1000000000000000000 754597618 176077244 111202519 63477822 1000000000000000000 948738053 696215570 892098992 57316525 1000000000000000000 968813567 213262194 398228609 919776242 1000000000000000000 622244502 587908615 264789383 434174160 1000000000000000000 690066279 249323609 156577802 62649290 1000000000000000000 615415959 360320054 54187577 337656225 1000000000000000000 982736750 163505389 232880837 228469311 1000000000000000000 29176445 8363498 20508845 11114456 1000000000000000000 179159086 138318404 99326837 123188513 1000000000000000000 108309936 45815940 98972342 3478820 1000000000000000000 358240288 33867658 174709297 342562224 1000000000000000000 918529385 143112558 696683211 758305818 1000000000000000000 744351435 178308733 306314590 594001209 1000000000000000000 344761591 325637861 205427931 233963690 1000000000000000000 417841521 40375458 10039733 323913981 1000000000000000000 805055946 136491007 21018327 207309843 1000000000000000000 766460896 762492709 260743055 333934520 1000000000000000000 383219967 260591198 148975961 149809523 1000000000000000000 844903104 552695066 611455541 122965744 1000000000000000000 466551876 122846251 54251180 215168306 1000000000000000000 58270978 33645053 45552611 31073141 1000000000000000000 35713105 22663273 28862817 27539905 1000000000000000000 967479611 276679551 330207721 283187949 1000000000000000000 351959729 170347594 171245350 259205223 1000000000000000000 354752624 65965681 334918958 317292814 1000000000000000000 286988680 274961883 7798028 186444549 1000000000000000000 234134521 123510733 130932270 202374202 1000000000000000000 405342507 234706331 396376745 403766546 1000000000000000000 27899142 7821369 18919602 3834924 1000000000000000000 143065533 117046902 66349545 126230474 1000000000000000000 738912977 23663597 287235490 23848019 1000000000000000000 185642793 60332009 110607326 78939204 1000000000000000000 373499213 216191183 347447550 136294057 1000000000000000000 292403626 87566208 22872599 235203413 1000000000000000000 157649729 59141332 80823482 5564498 1000000000000000000 880552369 409363047 240108560 425609910 1000000000000000000 172215683 37542357 70850190 31508640 1000000000000000000 704024284 171565398 346700133 333372863 1000000000000000000 988904540 181859276 573520481 814371551 1000000000000000000 501069233 278280493 49766348 252653642 1000000000000000000 319945070 1750344 8371686 37501297 1000000000000000000 598660599 378834438 570664215 74654637 1000000000000000000 141461688 34153901 29077065 2107268 1000000000000000000 261728371 45251027 93776505 113230922 1000000000000000000 199891984 29620464 100801900 81926257 1000000000000000000 666269513 433844244 355124445 540189586 1000000000000000000 811378155 655882917 611754344 8305565 1000000000000000000 707037697 387378950 189173905 161537100 1000000000000000000 619564884 353687642 493570495 232768802 1000000000000000000 667405476 67022727 556648471 461544057 1000000000000000000 867841001 148548275 751600274 377882824 1000000000000000000 418574391 374535718 233096868 279391053 1000000000000000000 241666441 217137045 143273313 756640 1000000000000000000 503500585 246609395 383279752 285120848 1000000000000000000 123390057 75881680 47894416 50144150 1000000000000000000 468286393 279185730 344318674 93044693 1000000000000000000 326135545 304310153 220242732 85230276 1000000000000000000 545300809 141183999 343791956 538947074 1000000000000000000 531509915 506949795 201828571 220742295 1000000000000000000 849142948 616785114 243144897 531498838 1000000000000000000 463426552 209910179 215117228 58625214 1000000000000000000 954304849 935069659 54625068 445220911 1000000000000000000 296408110 171948075 216619158 83853788 1000000000000000000 268678414 29834122 250407929 77640134 1000000000000000000 385563982 284677827 188682855 343404067 1000000000000000000 674969835 183637148 465761212 354117973 1000000000000000000 186438420 107463637 32149464 122006958 1000000000000000000 474571481 264646296 455344543 197097399 1000000000000000000 342222922 339756087 63031032 120641554 1000000000000000000 355372557 103616002 275908474 270522668 1000000000000000000 641432251 352132309 274972244 2791200 1000000000000000000 461697129 2820070 104955587 452274300 1000000000000000000 430992062 291694305 81795755 372252892 1000000000000000000 261201689 43791373 196108572 252975277 1000000000000000000 579315770 312958424 230430923 437802113 1000000000000000000 940454835 499618286 323801514 737593801 1000000000000000000 567630276 244961438 443485413 554662605 1000000000000000000 102283446 100179454 75251872 47531763 1000000000000000000 508421865 484952449 348255594 433898430 1000000000000000000 378225474 61614213 236241302 311868525 1000000000000000000 127213284 31127286 81381211 58978241 1000000000000000000 106207910 23690165 76317304 13944911 1000000000000000000 548479930 286391392 368745481 372163299 1000000000000000000 998007781 486458234 256592849 274043857 1000000000000000000 148828002 62949059 18956232 7502685 1000000000000000000 417099552 189115931 142973282 105277646 1000000000000000000 815054847 94420384 303916380 199052363 1000000000000000000 656825543 10946172 51916829 469740850 1000000000000000000 777518090 198632327 199185404 479686471 1000000000000000000 582647365 99800958 508043319 315234590 1000000000000000000 317042495 138264142 280782681 178463433 1000000000000000000 453454830 378616111 167511772 74627667 1000000000000000000 443697017 6239222 36463361 326617183 1000000000000000000 802463424 324316648 536155276 693284779 1000000000000000000 447810657 312439212 177722441 443579126 1000000000000000000 575025696 353779927 486847168 31154302 1000000000000000000 879943650 661191818 119250235 503842439 1000000000000000000 904962666 407101395 151123949 613530831 1000000000000000000 82623075 63960487 77519796 24047017 1000000000000000000 930698292 22766990 293675821 243085524 1000000000000000000 981868749 175247804 209823030 38279633 1000000000000000000 405813903 8231463 134559030 181879560 1000000000000000000 590795048 427790765 328474820 563741500 1000000000000000000 496504604 19843124 199389680 476295051 1000000000000000000 938300856 813278455 832457802 592938030 1000000000000000000 937718995 395249224 338793616 419014527 1000000000000000000 805375844 570985659 5044337 636509130 1000000000000000000 249136612 88643157 161205537 80239240 1000000000000000000 680379586 566730729 431078727 49411665 1000000000000000000 310500257 155198837 201007171 293085105 1000000000000000000 547824263 342751112 100139063 467636494 1000000000000000000 712358752 588057380 190524737 450439255 1000000000000000000 619294453 420396831 437280571 62072768 1000000000000000000 907267787 103344402 687861597 790142366 1000000000000000000 335525182 281749250 199674539 157281111 1000000000000000000 291562132 74052106 275518227 278987220 1000000000000000000 835653310 264101822 470266776 697648392 1000000000000000000 570521427 512671456 124805552 501875251 1000000000000000000 290510225 154837796 32918532 179681448 1000000000000000000 567304679 155380823 498364489 378339053 1000000000000000000 995382573 828211617 347980589 95224593 1000000000000000000 904182515 636528779 191305 654045287 1000000000000000000 511542620 448627856 451235833 90308876 1000000000000000000 384420442 136724205 302740532 273587659 1000000000000000000 851681294 273314185 427962405 410767556 1000000000000000000 631921365 312451034 15425938 513950530 1000000000000000000 568623652 342874198 276245556 182634305 1000000000000000000 667373258 434975554 138245033 289889123 1000000000000000000 859998925 173771845 397963051 566049481 1000000000000000000 785727316 306474895 446689547 305408131 1000000000000000000 18729693 4546506 6511652 18245763 1000000000000000000 406840087 124620051 237026250 390072101 1000000000000000000 92594353 78995817 57235896 69089093 1000000000000000000 831429040 542139729 164972971 488919869 1000000000000000000 727132044 296881689 678037238 119924414 1000000000000000000 622061040 560867244 91668616 607680379 1000000000000000000 816557633 664049649 316312463 47513168 1000000000000000000 979948453 879063620 331323332 660055906 1000000000000000000 457133014 313734128 38978294 386170002 1000000000000000000 344072735 207376983 209281567 99651570 1000000000000000000 166268295 163157537 150552498 85046570 1000000000000000000 332081535 309419618 108105607 195490855 1000000000000000000 35823262 9797877 2591428 1699865 1000000000000000000 41893467 30817984 38242322 9381269 1000000000000000000 407117850 371035946 291914337 271988268 1000000000000000000 865420453 701794110 829592299 842466066 1000000000000000000 898471451 107462877 588774415 886093024 1000000000000000000 735128806 466625582 424497765 180911533 1000000000000000000 727307783 370960643 427828931 64846094 1000000000000000000 342079858 181052325 98734340 15219815 1000000000000000000 868522917 257942458 733145813 806523716 1000000000000000000 922644164 399592858 247887594 518514001 1000000000000000000 120799730 108991640 47856896 53618123 1000000000000000000 748518395 645471009 18943855 554144193 1000000000000000000 435576079 180588631 171042176 159783543 1000000000000000000 653168160 465830760 156788515 581344371 1000000000000000000 261502896 195534036 106475374 124844584 1000000000000000000 998278688 608068964 692029420 816985247 1000000000000000000 10950821 7357666 2439567 1003922 1000000000000000000 909305598 242819101 790820051 789085796 1000000000000000000 620662020 361354392 211095007 144240752 1000000000000000000 111180829 89304034 77404583 39552783 1000000000000000000 787203336 213776059 541496742 153174269 1000000000000000000 780759570 330349769 342351035 614348177 1000000000000000000 214042149 82052624 115998062 155018833 1000000000000000000 337960877 20370338 235085831 31685338 1000000000000000000 607935819 74845723 123574716 545695582 1000000000000000000 368455951 276166186 16370547 229136953 1000000000000000000 294166654 151313201 161290130 86908445 1000000000000000000 889837742 676003399 706957826 808417588 1000000000000000000 422226483 275420987 346717938 261720367 1000000000000000000 647549465 104559055 101217666 281951990 1000000000000000000 134446463 45909770 129464156 113835614 1000000000000000000 318557764 54832967 2758905 116031816 1000000000000000000 399812763 358870236 390175579 182437252 1000000000000000000 432969318 225332780 213863504 270254571 1000000000000000000 123826305 69957343 123441833 44046050 1000000000000000000 661910743 466875776 425036113 249555548 1000000000000000000 294729954 4980482 134002865 221768042 1000000000000000000 315521131 161730491 263751099 27011462 1000000000000000000 264435581 235564253 107565944 154875981 1000000000000000000 321275559 301355534 199959316 252732757 1000000000000000000 335278788 298165303 266975858 147679423 1000000000000000000 792053039 716478077 400682501 683713411 1000000000000000000 279605581 235977810 21020796 248234955 1000000000000000000 714609957 160280704 593807902 93993497 1000000000000000000 805216732 450036630 225002478 104417605 1000000000000000000 272108155 76239138 152260990 153430178 1000000000000000000 971140961 644315454 119057479 575782983 1000000000000000000 864912621 225553210 211599080 638796300 1000000000000000000 990100492 725146393 729621197 858837515 1000000000000000000 502253333 416735464 7590608 348852028 1000000000000000000 624843823 612614317 380448268 344083350 1000000000000000000 140648600 29961768 135829397 52522435 1000000000000000000 12980222 989657 232755 2240801 1000000000000000000 622254015 210024592 36046637 434368052 1000000000000000000 773597450 139370840 457690518 252958520 1000000000000000000 245716417 149139377 60506726 228455470 1000000000000000000 108510752 97309210 4014270 80476414 1000000000000000000 696903756 97271812 48841609 107625423 1000000000000000000 130593446 107628454 13655737 45502468 1000000000000000000 95299465 11500311 88129977 94542674 1000000000000000000 289706561 121509952 40971627 37467762 1000000000000000000 632722855 207655659 523611051 389926573 1000000000000000000 313757427 117136574 78622411 230288149 1000000000000000000 703202803 585767230 430308787 107961695 1000000000000000000 212720822 171193634 75390963 126004355 1000000000000000000 73603686 43187078 30252997 23482008 1000000000000000000 32740070 8307145 30821059 5164699 1000000000000000000 727423399 526741662 439286515 105767436 1000000000000000000 134418853 79588131 6892910 34131848 1000000000000000000 976292428 894034725 526134703 432611194 1000000000000000000 219998391 131728996 124166689 32812494 1000000000000000000 935681163 435187965 100082477 367346101 1000000000000000000 248479522 91600456 182921010 188052465 1000000000000000000 543882042 102106912 118833911 395075106 1000000000000000000 61485302 59149654 37207530 31552258 1000000000000000000 56722266 22290528 18520514 26609508 1000000000000000000 658146015 458351166 343401676 229565240 1000000000000000000 850816367 198948310 519561271 362200243 1000000000000000000 655433953 160365137 26312896 139404458 1000000000000000000 986289498 179861722 836368054 550449324 1000000000000000000 49225368 22622561 43962230 17570544 1000000000000000000 567888422 421158830 476990619 142390398 1000000000000000000 548878872 525367605 116548487 366787425 1000000000000000000 418995171 177317712 104196065 3275257 1000000000000000000 60261090 47798583 3152366 39313068 1000000000000000000 197402621 6225389 120835242 25989925 1000000000000000000 146912197 99356898 72218701 135817831 1000000000000000000 507190873 419368412 293680184 101461780 1000000000000000000 795088178 131332903 466832007 593857001 1000000000000000000 847695446 463389661 7741613 610635445 1000000000000000000 278497882 230987964 203236934 228763576 1000000000000000000 602147481 410921475 108837176 355894627 1000000000000000000 844197300 510454643 217444030 676738061 1000000000000000000 320326731 297762017 95559941 40933692 1000000000000000000 896442085 306811590 4379397 861776904 1000000000000000000 910313947 268585514 720845075 780894977 1000000000000000000 507303078 42255884 287012298 418945410 1000000000000000000 686302385 604538187 338728393 492139618 1000000000000000000 636617554 632610992 243521839 409378259 1000000000000000000 687396706 120531097 127575999 452766348 1000000000000000000 908033448 795463326 682820518 533073904 1000000000000000000 563161658 389397607 293294093 455927149 1000000000000000000 460584496 229573007 76086762 353804438 1000000000000000000 353467238 78372058 169128787 203005535 1000000000000000000 596295694 488971810 233974830 152289595 1000000000000000000 975165806 677451138 190572445 524643340 1000000000000000000 652695435 270520531 614130188 221641784 1000000000000000000 233167492 44400081 69682230 69015269 1000000000000000000 661996996 375200608 213265798 626177134 1000000000000000000 566511641 553051226 57368369 348719088 1000000000000000000 773599705 215334841 239608902 434782327 1000000000000000000 561603108 263360024 151926843 511155565 1000000000000000000 575356619 176211930 245166985 34209304 1000000000000000000 848909497 677680448 341997578 549108835 1000000000000000000 573245291 321327374 314900586 489398219 1000000000000000000 817821842 85216969 635221710 287647717 1000000000000000000 318983788 54732617 222134380 306503912 1000000000000000000 915582163 849501862 891766131 714171483 1000000000000000000 952872257 824065874 116027671 726838797 1000000000000000000 902015635 443568902 38325902 837511528 1000000000000000000 744957191 615153477 208312479 238881890 1000000000000000000 546821279 252221013 347003969 236025291 1000000000000000000 475370790 351780030 368665213 403884931 1000000000000000000 969045424 505480575 787697859 850235949 1000000000000000000 96897358 66300312 68282949 31509549 1000000000000000000 582769380 414359622 431867948 47932468 1000000000000000000 67549764 1249416 32150458 57030052 1000000000000000000 903948919 106322710 531863854 369929887 1000000000000000000 88734168 79608637 82813073 86986359 1000000000000000000 807104859 720102260 408949930 193177358 1000000000000000000 502033484 48943911 462043519 277883820 1000000000000000000 584791313 249152281 305146877 528125111 1000000000000000000 189888870 53883582 130945477 17278840 1000000000000000000 744163547 256936775 344671457 489679069 1000000000000000000 28803996 11260327 21668789 16077994 1000000000000000000 461530798 81829741 287037284 306228309 1000000000000000000 728348303 425767331 494581585 550269762 1000000000000000000 832538999 712972836 629976268 453363256 1000000000000000000 699094310 62960057 54047816 245241091 1000000000000000000 117174983 26914824 82338053 82979775 1000000000000000000 788386206 749736405 16129202 270064167 1000000000000000000 820463436 569917931 579195235 342302293 1000000000000000000 493632916 420205461 117593180 3290836 1000000000000000000 889480400 156421211 559860429 574210901 1000000000000000000 758206289 550384436 127515701 377870315 1000000000000000000 400697818 357438872 149853320 158631277 1000000000000000000 732106448 597778631 483660175 49736502 1000000000000000000 867384216 813746335 576165214 677746541 1000000000000000000 388939827 51102856 368788892 262541027 1000000000000000000 316090241 279190438 15552726 242457239 1000000000000000000 914925843 193055593 766735903 273115155 1000000000000000000 136977601 38465572 41623472 7890037 1000000000000000000 726333839 692917917 409687765 218425775 1000000000000000000 389282683 60214524 27160389 279587071 1000000000000000000 241831946 41512454 166877832 37030534 1000000000000000000 24214132 12249139 16955413 3010144 1000000000000000000 899088093 438026478 833213406 644098203 1000000000000000000 232478148 53206845 56534451 66316458 1000000000000000000 258707908 51541610 207913576 20063504 1000000000000000000 717336729 363343839 154843683 428570565 1000000000000000000 239640426 12141361 173489595 154181341 1000000000000000000 604012966 479559635 178334661 179321016 1000000000000000000 669444301 115743281 37010752 565745835 1000000000000000000 169108156 12006426 113770432 21838946 1000000000000000000 235482046 193118776 65544556 203787443 1000000000000000000 933202751 44823847 226671165 912362887 1000000000000000000 627254697 74179364 390673196 505335372 1000000000000000000 694120842 132329013 219220973 314587312 1000000000000000000 539825336 186335837 169554845 296254032 1000000000000000000 521516387 48545601 70449589 5679858 1000000000000000000 798602664 520269161 602946951 274170233 1000000000000000000 477677138 264312714 409008233 293445015 1000000000000000000 422062358 374832032 356100796 409213722 1000000000000000000 364764669 17470709 216786329 176625217 1000000000000000000 260368271 12552642 48360776 39439400 1000000000000000000 879768231 817242329 310729804 726569334 1000000000000000000 922084833 693556468 130756462 250227040 1000000000000000000 19006778 172139 12953522 1202966 1000000000000000000 38605802 33194876 9375171 37180695 1000000000000000000 895263789 118970220 758405722 127414710 1000000000000000000 75527024 69884493 53743442 45417216 1000000000000000000 81522025 12341467 66629374 75702067 1000000000000000000 193001046 1667425 82655824 130970977 1000000000000000000 82164754 75961608 5237441 79058804 1000000000000000000 723524626 108793152 290140788 34514303 1000000000000000000 696173293 537331255 146819672 150390991 1000000000000000000 707710244 501332345 601564247 69177876 1000000000000000000 535216115 407084543 322503307 162001825 1000000000000000000 2657304 210724 1199383 2460843 1000000000000000000 638587540 210500619 344561006 632593469 1000000000000000000 87598342 74211985 36699711 10960120 1000000000000000000 333532217 106750354 280555669 247547785 1000000000000000000 919295216 387117724 628518970 550342242 1000000000000000000 208908528 120156992 139959119 8088041 1000000000000000000 911205219 843929252 284945153 843298574 1000000000000000000 468698945 23094456 423116336 344619784 1000000000000000000 600949184 262807870 168400861 495046741 1000000000000000000 518548039 124857904 258442304 85976838 1000000000000000000 466473767 259340866 268785298 22511941 1000000000000000000 263034547 251198956 45009224 225266580 1000000000000000000 684053849 33205724 366397269 265736909 1000000000000000000 594706082 577996949 266606788 566070244 1000000000000000000 477630147 424869163 87795075 256495613 1000000000000000000 420375682 158307277 142075453 279742230 1000000000000000000 113086038 95995811 88631547 61095586 1000000000000000000 433575927 413615261 367043193 424747192 1000000000000000000 324891308 241299621 253134363 314787796 1000000000000000000 440025266 26920833 164234309 291135024 1000000000000000000 899016274 168341311 72508061 83745647 1000000000000000000 222337797 200484140 19263299 31325079 1000000000000000000 715063093 527118583 542173018 276957941 1000000000000000000 555778818 376272490 57899286 448184452 1000000000000000000 743538523 537973201 447706743 335097124 1000000000000000000 61343754 17068455 22424796 48095533 1000000000000000000 231457496 148152572 178147730 185363742 1000000000000000000 571770834 469504401 276778509 235016141 1000000000000000000 591632214 70576449 535735318 95221529 1000000000000000000 532303076 102707305 422870087 378510834 1000000000000000000 961585362 627721523 195065218 932059913 1000000000000000000 189629434 107192116 58689786 150510924 1000000000000000000 759182548 615788511 401966279 538586735 1000000000000000000 917005167 62113139 204689955 81392724 1000000000000000000 147087200 1466811 97812231 12810372 1000000000000000000 509794212 237123915 277823177 83762737 1000000000000000000 877015018 868889946 176948227 864477483 1000000000000000000 981519755 531682174 18775392 476149771 1000000000000000000 944142307 578857221 730919196 307308854 1000000000000000000 315929660 240384067 82809521 265292562 1000000000000000000 72345284 47250750 61068787 39046067 1000000000000000000 421766024 345647532 188105494 1521175 1000000000000000000 776724479 715037833 728090810 209411169 1000000000000000000 688730138 458620427 34464692 136759647 1000000000000000000 451452497 119366040 422878224 394214777 1000000000000000000 794709173 708326963 784637329 477462402 1000000000000000000 902057397 406378576 559586574 653993578 1000000000000000000 923101896 610886763 408014840 656097741 1000000000000000000 631404059 64462715 248880829 75381522 1000000000000000000 275716345 11819086 257986788 157258053 1000000000000000000 859636511 597505968 240279835 16782395 1000000000000000000 102406830 15575629 36825597 65785000 1000000000000000000 558149065 269144769 442849973 167651636 1000000000000000000 269564431 50966365 195556809 240604704 1000000000000000000 505565767 10625377 343925596 347200272 1000000000000000000 83754005 60723950 67947854 57485347 1000000000000000000 512110763 12698970 271253857 421996620 1000000000000000000 289516850 287900331 29312914 178981908 1000000000000000000 869937098 787023258 137737425 529201633 1000000000000000000 603290664 183229136 561760812 243442098 1000000000000000000 890062973 606141087 822169022 204192392 1000000000000000000 417180397 298650626 356266955 60202768 1000000000000000000 189459352 86477177 2396973 97644331 1000000000000000000 42063336 98429 7105801 39861961 1000000000000000000 950258689 434674388 159543391 130405750 1000000000000000000 52937218 3829384 6986249 42893643 1000000000000000000 727881746 335559919 107629746 140362346 1000000000000000000 133076570 17613563 128922902 102268455 1000000000000000000 677434931 93998716 299307740 48609745 1000000000000000000 872339671 379010146 218078094 628732565 1000000000000000000 410226356 46248254 41821559 397865581 1000000000000000000 273280061 156505798 258836919 165085951 1000000000000000000 109479776 16027522 46387900 94639404 1000000000000000000 443015463 138313098 160143777 148883405 1000000000000000000 526405671 308263759 142692226 522247142 1000000000000000000 527231079 350785506 279475285 525437672 1000000000000000000 853628756 751766133 791565036 110928328 1000000000000000000 618778812 322303327 84762117 336473315 1000000000000000000 166253969 41204739 111080796 70933564 1000000000000000000 812243132 128678956 624282384 27907050 1000000000000000000 322340509 237022205 141182468 8299343 1000000000000000000 917040029 642147051 810803459 777659802 1000000000000000000 198780254 135050570 161994954 166323874 1000000000000000000 112009501 86025059 76004487 9031159 1000000000000000000 926803564 114820530 558473890 625013575 1000000000000000000 847340961 781418361 524590653 787178080 1000000000000000000 55033500 25466154 32176739 42126092 1000000000000000000 372668355 249073069 87280967 266170326 1000000000000000000 161496860 117319479 126273872 54250143 1000000000000000000 966873802 803146533 728538802 943049135 1000000000000000000 683776309 394996463 454242217 394489244 1000000000000000000 60176970 17308485 19125987 5778770 1000000000000000000 712854523 101073607 301383286 636529090 1000000000000000000 950194861 506319061 315880774 907380910 1000000000000000000 126019647 125854666 32698618 79504674 1000000000000000000 90716111 24060156 36090357 73757944 1000000000000000000 410135369 110280504 333045102 353365686 1000000000000000000 852263473 824315555 692917734 12923192 1000000000000000000 933628468 184833859 603260014 273087936 1000000000000000000 118306829 24080163 84822546 13532305 1000000000000000000 163446423 10524508 30903913 130441695 1000000000000000000 348725610 139601718 311212397 149952152 1000000000000000000 642129321 8710620 604140391 128732840 1000000000000000000 531622342 49917485 326864085 516596502 1000000000000000000 775196037 365705022 568027067 592888515 1000000000000000000 892179465 713991253 47902697 516057864 1000000000000000000 113707684 45697283 111967437 13527471 1000000000000000000 545747901 41886399 222967554 328861785 1000000000000000000 955296476 867660504 309545516 590124956 1000000000000000000 869259225 166953301 762670261 640175204 1000000000000000000 82208255 8432344 41242605 69317623 1000000000000000000 924987893 379843450 444903864 187103675 1000000000000000000 299842696 39217486 210837911 299115359 1000000000000000000 987994235 938971160 647605134 76741268 1000000000000000000 832291421 141254733 258555463 402689715 1000000000000000000 158657311 21339975 107090611 2276216 1000000000000000000 594588060 532434337 186392827 207308609 1000000000000000000 443217544 331257082 202037741 105971406 1000000000000000000 193988761 89813353 170112170 90138990 1000000000000000000 896507323 633667250 553155652 55493947 1000000000000000000 870802182 463778287 742340659 247654382 1000000000000000000 437544675 293278698 37134937 381529449 1000000000000000000 860413301 225368262 508181237 665510886 1000000000000000000 850511969 806687409 388604387 616826428 1000000000000000000 411332547 325410900 315243497 55966044 1000000000000000000 710597974 27308932 246054096 640341999 1000000000000000000 820195499 441945578 299458545 480894706 1000000000000000000 581471773 242414760 40963059 47530938 1000000000000000000 88786105 42008546 1833488 66167103 1000000000000000000 115457133 21714991 53836395 115391504 1000000000000000000 433092765 272595371 79064402 189787871 1000000000000000000 76468664 75108808 66857130 61226642 1000000000000000000 288226882 137946481 248431835 177724445 1000000000000000000 589847192 356199381 270401604 14049261 1000000000000000000 921241376 273696068 576640067 675733814 1000000000000000000 699351061 490025872 388971671 492040820 1000000000000000000 626222676 514805614 303456034 363858852 1000000000000000000 625815738 149220945 167146252 478920839 1000000000000000000 817875374 538654948 284879301 85770426 1000000000000000000 308365444 279818982 238667899 193215981 1000000000000000000 126343556 58478194 9520580 77392801 1000000000000000000 85522587 6331002 48871285 10707854 1000000000000000000 390397565 80671197 101532219 131317660 1000000000000000000 513441858 339247293 148151493 91764039 1000000000000000000 77613359 45986692 24307720 18775106 1000000000000000000 655668248 641238323 511848560 344576155 1000000000000000000 333732932 309040598 59285349 272039948 1000000000000000000 777837762 33092661 245721243 416095556 1000000000000000000 387430600 230133357 81045548 384974506 1000000000000000000 796903219 719230418 63654531 522361618 1000000000000000000 183197113 125620440 70205329 145481159 1000000000000000000 45927722 41666639 6255332 41750300 1000000000000000000 734018471 315543550 92448020 436557919 1000000000000000000 958760906 379209686 45708435 926795928 1000000000000000000 576750487 45404117 161288279 305274960 1000000000000000000 358270381 285077219 281091088 250395364 1000000000000000000 244569131 115745154 211372378 210446473 1000000000000000000 339898360 177363162 221715992 40864445 1000000000000000000 435962655 323785322 227318122 7027694 1000000000000000000 94542648 50214771 93183066 30901179 1000000000000000000 772019747 356819861 707479652 22679376 1000000000000000000 162748313 124218718 4649911 96268048 1000000000000000000 569307671 471649730 257629225 523394750 1000000000000000000 826388628 672866430 584516030 147464608 1000000000000000000 343733804 322382000 190616788 39458802 1000000000000000000 936247313 594471672 298131623 820674172 1000000000000000000 371702202 83110220 29730417 286082271 1000000000000000000 833384011 595032176 302990571 781348559 1000000000000000000 140863043 9995558 27947658 37667033 1000000000000000000 932058487 251119075 549707193 201959149 1000000000000000000 499993455 232866123 185663121 275287463 1000000000000000000 787848931 45352070 392334569 581573001 1000000000000000000 711616409 86371727 480138421 550266388 1000000000000000000 92706016 85105037 68664932 91041989 1000000000000000000 410246460 366346092 126023453 118485521 1000000000000000000 586742169 461618272 435151930 536253281 1000000000000000000 937978462 926134524 455402126 907471990 1000000000000000000 738891488 607918435 535042125 637427355 1000000000000000000 686229905 663752570 619074740 574310375 1000000000000000000 448175808 13902195 307689875 135045310 1000000000000000000 90235808 8836456 18803697 1799743 1000000000000000000 310331316 201330804 40994264 252064971 1000000000000000000 41337398 14425236 5544475 36758203 1000000000000000000 202158212 101991896 47308255 17306988 1000000000000000000 50743766 44990689 27083032 19276790 1000000000000000000 852903656 566485047 416655437 192694633 1000000000000000000 897433173 99247594 76982440 673394878 1000000000000000000 503843164 269874536 1905508 240059180 1000000000000000000 314611662 47620009 184352737 52760064 1000000000000000000 440140419 413924210 424188162 123999393 1000000000000000000 590210270 119056520 501956215 523936223 1000000000000000000 776367579 535845654 566984293 260420066 1000000000000000000 597514598 436213412 129107535 208770745 1000000000000000000 19942625 689120 15917419 12394656 1000000000000000000 33605685 4491525 5775199 18787379 1000000000000000000 998047514 90979696 690880204 352223947 1000000000000000000 749834721 38590646 84082362 711323078 1000000000000000000 583200112 105801259 520596363 155204418 1000000000000000000 812600005 780948702 572658531 640183564 1000000000000000000 527506810 524154495 409590300 123783589 1000000000000000000 779518965 368755265 96784260 146498084 1000000000000000000 18831669 17599723 3305173 957432 1000000000000000000 492135751 60843508 177969331 453573844 1000000000000000000 11854953 4028772 11684663 8455515 1000000000000000000 204839794 163733105 76383333 40882667 1000000000000000000 79859425 30498205 78644105 45946705 1000000000000000000 293896443 204116277 91533264 215437023 1000000000000000000 334499580 53905478 69745890 91756587 1000000000000000000 365526084 326559985 255694630 91922019 1000000000000000000 467840569 296140488 436939746 111166682 1000000000000000000 407764507 188772041 1763384 91636673 1000000000000000000 194745205 50957043 50644387 139768837 1000000000000000000 212441321 182694669 8352978 209463540 1000000000000000000 66985572 22353983 28001323 20799182 1000000000000000000 465151866 132966213 275347141 136051134 1000000000000000000 621901202 211254996 73804667 575630850 1000000000000000000 601823582 345563299 436365681 203375752 1000000000000000000 650422760 564863449 590245323 574038331 1000000000000000000 757225440 287247216 85157009 705870484 1000000000000000000 52381570 29616881 31955805 25670053 1000000000000000000 648878046 421980774 364946785 131495221 1000000000000000000 634428059 204263079 206125991 111008338 1000000000000000000 798054545 68732243 313420978 299886240 1000000000000000000 591679611 96830729 436012090 237827426 1000000000000000000 109392767 104058733 64350643 97023489 1000000000000000000 545194012 494093622 273115154 105163065 1000000000000000000 252110675 73912409 120834885 219928695 1000000000000000000 978005986 288187266 645279882 652903451 1000000000000000000 970209972 639016431 202779765 69361228 1000000000000000000 804957783 36340178 718138459 726266803 1000000000000000000 983920352 697115254 532467379 797240338 1000000000000000000 667732600 292164829 117732089 120176171 1000000000000000000 117412973 71365465 29953298 29242134 1000000000000000000 779405429 2779308 74766023 56724804 1000000000000000000 220002686 77455308 211738333 106831889 1000000000000000000 39357966 8843367 35862290 17080606 1000000000000000000 447812137 69839220 277891163 116992199 1000000000000000000 775567363 747182606 276744011 460262192 1000000000000000000 85027685 46928946 22521033 38163869 1000000000000000000 445339251 277298444 155052429 5936657 1000000000000000000 400895444 302853178 278747932 221539529 1000000000000000000 748005729 488231737 353803766 304341900 1000000000000000000 605750303 557722521 386903243 96861873 1000000000000000000 376496428 90295507 202595248 39411677 1000000000000000000 964444297 350321709 595239228 105154526 1000000000000000000 226886777 169297585 62398669 27192223 1000000000000000000 190886594 34858384 171508567 16031758 1000000000000000000 810448005 601584178 490904140 489692698 1000000000000000000 295561887 2518048 20706917 19070298 1000000000000000000 946917773 242525485 541567141 474169228 1000000000000000000 822338551 233816741 291643653 450785229 1000000000000000000 913011805 543761355 150512167 732320105 1000000000000000000 141334983 64271115 2727489 47185111 1000000000000000000 313155012 48677406 98294221 114959745 1000000000000000000 695607548 15173292 455495923 134145568 1000000000000000000 153833528 11284613 153495423 33436280 1000000000000000000 728809305 549967851 656945584 311582562 1000000000000000000 827395412 361391612 165593336 54008687 1000000000000000000 565607087 193550842 561604987 76237193 1000000000000000000 83324408 59848280 24805866 16574416 1000000000000000000 145186925 123130412 99713556 68716808 1000000000000000000 453160577 350413620 306875932 111976355 1000000000000000000 381121077 309916996 230532805 363608995 1000000000000000000 676942352 300521521 646906564 297880419 1000000000000000000 186702572 21964578 45112775 174663031 1000000000000000000 694922123 319958746 173355611 615896736 1000000000000000000 478562455 437238486 24574320 435790209 1000000000000000000 693503851 438172189 225570301 156288195 1000000000000000000 353062354 47951864 207839703 319707547 1000000000000000000 374048522 152658110 112458469 337273800 1000000000000000000 876856746 505530263 566022834 778343060 1000000000000000000 792607320 21124697 376854977 487263077 1000000000000000000 107118674 18450441 97372217 103324738 1000000000000000000 191191702 173000813 122543593 1282182 1000000000000000000 525769255 61624369 224460595 513569035 1000000000000000000 254319798 252090902 11548388 199631781 1000000000000000000 871109510 233138587 783125145 770778251 1000000000000000000 221540732 20289901 155161998 22312104 1000000000000000000 296686157 31206294 208808637 63793089 1000000000000000000 931744236 206066179 573269156 370580842 1000000000000000000 189592572 8903715 40735639 181399289 1000000000000000000 444335581 331594756 330546859 257560076 1000000000000000000 453480712 431155975 392580214 398471406 1000000000000000000 785046007 503081084 68650895 330007190 1000000000000000000 828139138 128535113 382335362 253299283 1000000000000000000 670955069 668784391 20462539 618174390 1000000000000000000 660912683 598837296 276057908 511143986 1000000000000000000 696984992 147695033 303107857 31734943 1000000000000000000 795149825 662984060 644828049 195556342 1000000000000000000 950033180 316252775 195799175 513351870 1000000000000000000 229539937 94785519 227495949 96880408 1000000000000000000 526314604 383631270 149875354 423830534 1000000000000000000 150561698 120803816 58231589 131960795 1000000000000000000 71934900 25110570 17447355 50491561 1000000000000000000 10491973 1202622 6777708 4012338 1000000000000000000 53425114 5743590 8062204 29210845 1000000000000000000 683102960 446179606 183362652 612561716 1000000000000000000 125116247 81746777 108464052 76826680 1000000000000000000 275755313 82991144 167231630 267483641 1000000000000000000 82526054 22462356 65907525 50254274 1000000000000000000 825701992 346700019 438644303 754991382 1000000000000000000 36745740 35127958 31441286 35711784 1000000000000000000 396121799 27650382 168824955 364973619 1000000000000000000 273827830 48049514 64842027 177123320 1000000000000000000 868835485 701997548 600097927 612817011 1000000000000000000 650877952 297546638 135744872 191860068 1000000000000000000 63358469 6466102 33586286 43805194 1000000000000000000 639801802 588054702 593476722 262163234 1000000000000000000 789393461 237279426 65948222 300170004 1000000000000000000 337923479 93003195 119840168 309756340 1000000000000000000 466560065 124784427 52392923 466185836 1000000000000000000 103357113 85031998 55536022 30119818 1000000000000000000 174040682 80569783 170200109 9964953 1000000000000000000 11494135 2759730 1490779 2768242 1000000000000000000 37774609 6506490 31147551 35872299 1000000000000000000 193230477 5462218 186765785 158295488 1000000000000000000 510274624 148645013 432485210 60842545 1000000000000000000 452932401 267855175 176988620 244598162 1000000000000000000 603074618 43887559 522983955 201636399 1000000000000000000 928289570 630748484 637860846 70201572 1000000000000000000 958471772 678938662 529464645 597253610 1000000000000000000 539924081 536132959 251725577 222025270 1000000000000000000 234145611 134338226 13919340 127808433 1000000000000000000 758132155 548988346 518472411 49431685 1000000000000000000 515203950 275702124 445295355 194697598 1000000000000000000 602926007 481249242 491156491 109216529 1000000000000000000 881615412 348024148 505729663 538550609 1000000000000000000 676042054 468284590 658390939 448207657 1000000000000000000 735690825 638769294 482452661 207596127 1000000000000000000 902496403 429216323 718656634 644195773 1000000000000000000 598050012 34728202 455116930 516127034 1000000000000000000 645190550 156119491 627820146 405366764 1000000000000000000 570179280 92233389 232451850 555933802 1000000000000000000 722653547 563117593 24231299 164360900 1000000000000000000 128377469 56437436 25409002 68567777 1000000000000000000 994819294 176552725 900473249 302166959 1000000000000000000 212423969 20538191 93338991 155477991 1000000000000000000 747382178 411944162 60036449 327080081 1000000000000000000 625338596 168545384 513742330 343793931 1000000000000000000 185945030 53232216 63449470 80151812 1000000000000000000 259588060 232176470 78057392 172418413 1000000000000000000 138743435 47307553 129902764 68220934 1000000000000000000 418072273 359798689 21625045 103758723 1000000000000000000 23360303 1263592 10698056 8603392 1000000000000000000 758950324 708455831 270944170 715563492 1000000000000000000 545410861 101735390 159742318 504074569 1000000000000000000 808888210 476989245 190668449 240687412 1000000000000000000 259251493 129869026 254402936 118561030 1000000000000000000 835948216 459115754 66306408 227203239 1000000000000000000 52135530 50362051 9747317 22085330 1000000000000000000 407572922 24125335 373210910 131226532 1000000000000000000 97555856 66881644 23104528 66111929 1000000000000000000 136604813 46996684 128363429 88010643 1000000000000000000 882313387 243408145 662301841 725685257 1000000000000000000 622992664 159139846 343404009 193576984 1000000000000000000 894987908 630287290 164645591 888081585 1000000000000000000 245435036 82047105 112770376 133099633 1000000000000000000 131528322 61715873 117744736 22131688 1000000000000000000 345233271 231580627 166506747 338561111 1000000000000000000 245292728 205523071 169194484 33022179 1000000000000000000 943854585 382188783 846360501 649310892 1000000000000000000 581867632 257631772 235411657 46865364 1000000000000000000 543166023 66429637 218246108 38639338 1000000000000000000 580187377 97552198 186509619 372687188 1000000000000000000 537294769 157555363 291449098 180487007 1000000000000000000 110170307 3773776 55973180 19014731 1000000000000000000 880108577 650917696 795812204 199482111 1000000000000000000 200676231 29792132 131827500 89703682 1000000000000000000 239639480 102229782 133739809 121421012 1000000000000000000 102303872 18679883 8969358 89200705 1000000000000000000 424781140 421776860 351724606 50051717 1000000000000000000 428365785 236459248 63854607 77883022 1000000000000000000 564142342 254914841 521316105 221842518 1000000000000000000 964031403 888478704 338676831 572045772 1000000000000000000 193061123 148825212 187223767 180639794 1000000000000000000 855235821 578698510 540016976 310140504 1000000000000000000 816267622 710893582 448222759 617771642 1000000000000000000 381368062 171037779 286102712 261134497 1000000000000000000 91675076 16371446 20587932 64387967 1000000000000000000 363868387 230066590 82985566 344316942 1000000000000000000 476211194 473178496 80516903 97377114 1000000000000000000 785198509 90283283 498276539 453948590 1000000000000000000 256504867 10887284 230803972 72769898 1000000000000000000 964542586 255024989 693111112 667761524 1000000000000000000 991689338 809435528 483108684 521308067 1000000000000000000 257039791 193864419 15358691 125524142 1000000000000000000 998819183 347203667 438280429 406015037 1000000000000000000 840673449 787511172 629210979 570677098 1000000000000000000 709929909 677636689 260990875 537650828 1000000000000000000 496146153 421584277 78902175 222890515 1000000000000000000 714182393 73270546 564771860 644576211 1000000000000000000 662379607 344783937 292944020 446214930 1000000000000000000 852130899 471806960 612697107 769683928 1000000000000000000 89087732 3843400 4345693 32414343 1000000000000000000 564713830 337883367 562675653 204902300 1000000000000000000 219245790 203367179 204848296 168459383 1000000000000000000 633481399 537199273 485411707 162009663 1000000000000000000 1214241 617816 1208368 507006 1000000000000000000 603108306 458637470 253601834 578092414 1000000000000000000 422935480 190780222 34912832 192556273 1000000000000000000 272123610 58844101 65063966 38424117 1000000000000000000 680638604 405384204 346968587 634140641 1000000000000000000 107893301 24224385 28231848 91129246 1000000000000000000 845817823 418819069 84673052 487735531 1000000000000000000 5005660 4258357 2479806 4684067 1000000000000000000 310205102 166811348 60398195 118388143 1000000000000000000 558575351 361787351 458762872 140207460 1000000000000000000 282448396 256057281 274446203 185770075 1000000000000000000 837857761 492986930 346861314 581901701 1000000000000000000 984568860 465213427 839282426 651859127 1000000000000000000 389451588 207146136 165671508 231121946 1000000000000000000 105715940 11349594 78597578 62631032 1000000000000000000 871189646 582301097 701886123 157198992 1000000000000000000 284782203 110139795 48044639 12464539 1000000000000000000 820129369 442945297 482067457 213886567 1000000000000000000 499743987 246275671 11919700 429881263 1000000000000000000 863703361 569672370 481821477 437198857 1000000000000000000 294026439 74748210 289220121 119659366 1000000000000000000 939547566 346552782 364589850 232625890 1000000000000000000 140462142 129767131 73468945 2550176 1000000000000000000 954010553 370748740 571719393 927433555 1000000000000000000 167146231 126668686 75216894 143942021 1000000000000000000 660083239 329953568 237171404 566989077 1000000000000000000 341799500 232152479 249602465 93093787 1000000000000000000 234975217 230957180 83727655 155853127 1000000000000000000 920262591 115165300 302294953 182513574 1000000000000000000 67011560 62464108 62089618 19704645 1000000000000000000 417873529 364573431 329069170 33302825 1000000000000000000 130869898 944905 72401455 143554 1000000000000000000 55778995 16577103 24938593 54577920 1000000000000000000 123084388 9399234 106361973 99664089 1000000000000000000 492343 401990 354135 225053 1000000000000000000 128747362 37835884 57933512 66738054 1000000000000000000 895679386 47417912 667351934 680366376 1000000000000000000 164083371 76782487 140149340 153538523 1000000000000000000 426553456 316913794 62484932 313245755 1000000000000000000 903627677 446251751 265056053 254507082 1000000000000000000 763596046 469882269 182131873 186047818 1000000000000000000 568987834 440514084 426665592 347579329 1000000000000000000 412673493 105513310 372048993 377951083 1000000000000000000 304372787 216259598 183044287 242374269 1000000000000000000 529875062 491942971 19988736 217540398 1000000000000000000 489965670 329558159 418914935 210617455 1000000000000000000 836664617 632119709 150954896 784838166 1000000000000000000 737623856 315892031 138455897 300181842 1000000000000000000 476000791 334391750 161264094 90475905 1000000000000000000 377914468 98970414 365545813 306011968 1000000000000000000 105456571 57028653 50565073 30827487 1000000000000000000 739461640 485612362 127497126 308820473 1000000000000000000 691690387 20512322 98927430 566650383 1000000000000000000 246104839 51255651 72065324 75788293 1000000000000000000 385225146 93586037 158928675 381222180 1000000000000000000 734894212 298576026 406267640 469755259 1000000000000000000 934266279 542153514 498535447 557894129 1000000000000000000 701553142 176826949 246474279 198498769 1000000000000000000 423915629 376669216 16942035 214490696 1000000000000000000 913712574 741379980 653953737 127150425 1000000000000000000 979501106 427561341 971852028 799564066 1000000000000000000 634646521 415597141 590269808 482392806 1000000000000000000 340239390 335546239 22937478 90903522 1000000000000000000 96680307 68543262 27788441 30903372 1000000000000000000 670886169 376234511 163729643 583275916 1000000000000000000 959789906 878562520 487281176 259787487 1000000000000000000 107421434 17246853 95015951 35997281 1000000000000000000 299530982 175296203 21344494 9803746 1000000000000000000 287295863 118944056 50865066 234073704 1000000000000000000 990731839 366464295 801236413 897147675 1000000000000000000 644750062 106132340 578935122 261721360 1000000000000000000 655532736 649498964 226623447 478397146 1000000000000000000 361889972 147221324 183691122 155828253 1000000000000000000 602945833 129956409 230082159 340579881 1000000000000000000 680323336 599083029 529122816 381032031 1000000000000000000 611351111 144210960 501998517 494744668 1000000000000000000 87625732 9882422 18904062 76418605 1000000000000000000 478773539 332789576 297378320 106760717 1000000000000000000 323953647 322122985 322262117 169681456 1000000000000000000 578953033 323131609 150252439 475101093 1000000000000000000 189929870 72347523 130347968 136083048 1000000000000000000 951259533 828863967 819459996 328799483 1000000000000000000 514057797 227803489 263302384 146976536 1000000000000000000 814729422 710837907 210201319 283349789 1000000000000000000 359861556 47539679 131348784 52706796 1000000000000000000 30767244 13333907 4988871 10168828 1000000000000000000 61085086 25982113 31553677 47424283 1000000000000000000 306575957 232004575 291663471 247003232 1000000000000000000 730993190 412301651 664025461 223379946 1000000000000000000 813467035 712053099 553057818 565642781 1000000000000000000 779205001 744386801 694191248 769804783 1000000000000000000 110539 46661 46409 64026 1000000000000000000 561291061 444782099 349500896 320394662 1000000000000000000 687815564 132597670 330071207 251599339 1000000000000000000 517994943 66627005 237711835 375159693 1000000000000000000 631912913 504368650 59121832 147121750 1000000000000000000 722568256 708982687 97643368 104039139 1000000000000000000 880007650 459462321 82738279 191894214 1000000000000000000 315090431 137672404 214945698 166264002 1000000000000000000 103641674 28144674 78944054 47333751 1000000000000000000 355441863 252686030 335264627 320783499 1000000000000000000 21666248 7421521 13669160 15133741 1000000000000000000 687526274 682140492 425470433 338545796 1000000000000000000 242106598 29050369 193121758 123857139 1000000000000000000 431881740 235910019 365059901 184075892 1000000000000000000 330668110 104359522 274370018 210614936 1000000000000000000 473431755 179716780 262347510 352791690 1000000000000000000 143118001 63936932 142078002 7711175 1000000000000000000 244572664 153747316 219794412 58353579 1000000000000000000 745189077 448812262 257230358 577270901 1000000000000000000 378777880 122408425 37180195 179084046 1000000000000000000 608869472 205798060 310667720 137387443 1000000000000000000 886263258 823961503 723723680 674450999 1000000000000000000 170773061 73107193 112911610 152283077 1000000000000000000 180447355 28806631 62276121 149129018 1000000000000000000 576617668 400500132 432087907 111042626 1000000000000000000 456732974 388573283 122551733 96583344 1000000000000000000 195176757 16047586 140998136 996816 1000000000000000000 506516431 105169149 482919492 276615995 1000000000000000000 404749921 33172097 318980830 147850791 1000000000000000000 870708587 499030086 675262805 77999004 1000000000000000000 757172984 485261277 266820507 755369452 1000000000000000000 611569754 38017607 231734261 17840825 1000000000000000000 117446022 68866584 110136575 5546666 1000000000000000000 354746493 142814438 156547844 297904670 1000000000000000000 154654900 143617638 108447525 61551460 1000000000000000000 693978832 408656433 682762268 305366668 1000000000000000000 226839282 20871660 94464575 680817 1000000000000000000 354998578 186777169 237356676 228405889 1000000000000000000 754631160 597356139 15870124 605882795 1000000000000000000 789653385 643872666 340576516 257995418 1000000000000000000 748215329 425699081 537564582 327727731 1000000000000000000 882943558 256707518 697007536 40783759 1000000000000000000 893653629 870560596 190446551 718298163 1000000000000000000 403547624 318127366 16234319 306414913 1000000000000000000 881054784 353754735 560117109 801690104 1000000000000000000 552525101 174521246 102468183 303465209 1000000000000000000 655123207 538667450 488585482 476599586 1000000000000000000 760539024 328951438 11438957 489320943 1000000000000000000 982065646 116387052 161660819 319233549 1000000000000000000 693814979 484931612 478205585 381381209 1000000000000000000 17532068 13111509 14517678 12972466 1000000000000000000 112602833 46153735 106149795 32065548 1000000000000000000 966435987 311822464 491916128 949607239 1000000000000000000 239000245 42908036 72556446 69809271 1000000000000000000 137601072 88698826 6350498 96359329 1000000000000000000 401392623 50660171 200075631 397749217 1000000000000000000 311122426 163247657 226716719 72286959 1000000000000000000 135091089 18705930 109430554 133648084 1000000000000000000 344765861 77610449 240392732 134493058 1000000000000000000 9819479 826109 1295182 3976459 1000000000000000000 888772911 194409910 647089063 380479520 1000000000000000000 634921424 322039904 335115186 107945323 1000000000000000000 8293711 3692282 1153296 1464614 1000000000000000000 325614944 239099621 272363847 258074488 1000000000000000000 437455525 85571044 84382768 590811 1000000000000000000 162017145 140329313 25350108 106974650 1000000000000000000 922503111 774758010 722007358 165395634 1000000000000000000 334003518 156366014 197335979 37799558 1000000000000000000 221394655 144631797 10320026 56152712 1000000000000000000 388854666 8246695 5458034 185839737 1000000000000000000 33501228 26785293 2350109 23706151 1000000000000000000 334950348 152533013 309536898 81811367 1000000000000000000 859469402 374875542 397086797 841938582 1000000000000000000 378267744 156748323 101322239 162485111 1000000000000000000 279908068 32438902 136842991 114735537 1000000000000000000 819060659 645180468 510678901 226677709 1000000000000000000 80976940 71240419 59922421 19397349 1000000000000000000 218767778 107884800 567216 132545695 1000000000000000000 448063013 182275353 186506350 39906602 1000000000000000000 758774323 295117350 642568396 349015683 1000000000000000000 789307693 20139701 43068694 276117971 1000000000000000000 217175015 119358546 121501405 16147365 1000000000000000000 521125917 344527482 487929011 42240242 1000000000000000000 505227803 502597169 33573338 356576518 1000000000000000000 223625295 56036651 134368598 124521855 1000000000000000000 44920971 10426629 43772098 6592468 1000000000000000000 616673070 604005749 392389965 221216596 1000000000000000000 213807329 47790517 79102118 78374344 1000000000000000000 300618157 111634138 15184638 167829353 1000000000000000000 561641894 407109589 506503371 301881215 1000000000000000000 349169270 273996607 97682708 133705465 1000000000000000000 440252562 213571395 340245947 355118576 1000000000000000000 726585643 657847446 542400226 110128452 1000000000000000000 288346741 18473882 254263115 199894938 1000000000000000000 258316598 229203196 146213747 17468427 1000000000000000000 93009653 4534705 5486642 81065483 1000000000000000000 920728074 379420898 471388800 793131248 1000000000000000000 687418395 85105447 250003178 668288214 1000000000000000000 755505932 227670116 502145222 181152058 1000000000000000000 13347181 5078000 12532548 756721 1000000000000000000 91015864 39764209 20939360 2551444 1000000000000000000 696135432 66976693 235850511 25118329 1000000000000000000 864751358 667608407 353613204 295138346 1000000000000000000 91590691 13944652 31253523 69032401 1000000000000000000 439803283 353231964 205379193 1639828 1000000000000000000 687327917 359902166 165145664 432577671 1000000000000000000 310352837 111197198 257203802 257448940 1000000000000000000 727827541 183076727 15051772 609253073 1000000000000000000 231301429 212161716 84687391 94623771 1000000000000000000 472683682 415458901 376839699 418280538 1000000000000000000 150154103 127624007 84594852 579191 1000000000000000000 970805979 210224814 259692442 25067769 1000000000000000000 394613848 268602828 176243668 372065902 1000000000000000000 859118143 9798674 616991108 310854073 1000000000000000000 958971522 436807445 293347095 816800368 1000000000000000000 537508092 224272339 227934745 5215592 1000000000000000000 131550320 34468150 46306462 3328865 1000000000000000000 139489209 95850186 21697255 88833549 1000000000000000000 355242835 330026151 292161336 67749713 1000000000000000000 851963926 402475789 45695835 145496802 1000000000000000000 626364410 305228707 126300248 12994096 1000000000000000000 874111309 105701937 327643663 614104386 1000000000000000000 619567116 586534572 317268053 189603923 1000000000000000000 183260947 104243247 29427950 32018618 1000000000000000000 732448320 12153781 174828698 635335147 1000000000000000000 202498495 150798900 62445543 151614033 1000000000000000000 676858107 313043991 109246146 287174593 1000000000000000000 340700241 240211201 177440864 132657423 1000000000000000000 347706096 121760370 326122685 171885873 1000000000000000000 850022675 243608211 727901890 52510166 1000000000000000000 142567904 27603819 17164109 55593231 1000000000000000000 108409675 14526987 72347704 75658924 1000000000000000000 889409609 186912921 638318938 460396785 1000000000000000000 61489580 31343487 32107249 7684930 1000000000000000000 266182247 237157511 201964649 60679994 1000000000000000000 625297701 450999554 364486218 570579752 1000000000000000000 477059034 5780200 251566325 46996268 1000000000000000000 151482001 59716211 12407209 72573888 1000000000000000000 270703719 27542691 490902 104162132 1000000000000000000 645681072 138675277 242864669 425714828 1000000000000000000 717383438 428714782 175379631 390942046 1000000000000000000 411012290 244915006 217171619 200066953 1000000000000000000 543961552 413318021 61811388 388207348 1000000000000000000 147891223 79373231 74211626 96110854 1000000000000000000 850984232 811744334 587964747 575835746 1000000000000000000 494815896 262270219 144913363 489503600 1000000000000000000 60484265 3181622 50701280 37443423 1000000000000000000 611617140 580570880 138351472 221683788 1000000000000000000 54103091 35236527 50377578 39040576 1000000000000000000 789293638 467082360 502212046 117157321 1000000000000000000 842495481 783640872 636581278 773948264 1000000000000000000 368429070 183150090 23776525 83824063 1000000000000000000 365999147 258422229 313555620 355872199 1000000000000000000 993948602 427775608 612295593 539836073 1000000000000000000 186832808 169360042 172451459 64727415 1000000000000000000 753984929 396708082 740840093 300888877 1000000000000000000 106548239 31192647 71712577 18912982 1000000000000000000 616998637 407700272 10708285 217965419 1000000000000000000 414955802 374410790 354547139 126106668 1000000000000000000 893829307 120413416 279995782 36734429 1000000000000000000 443980247 298778974 414905594 408984441 1000000000000000000 861807322 795723359 508809394 89856668 1000000000000000000 412450473 18349840 48676148 159649986 1000000000000000000 616843324 110860192 116552981 492578450 1000000000000000000 215849582 10757800 212820152 57218202 1000000000000000000 867922165 11256173 325105039 293014559 1000000000000000000 400902947 339213067 196334460 183197738 1000000000000000000 207431782 127055039 35279515 78329052 1000000000000000000 419357885 121661777 111380075 117539356 1000000000000000000 468860749 190512903 97733047 346341885 1000000000000000000 313451084 291557031 292402925 122758359 1000000000000000000 168561082 5329471 32108885 148035910 1000000000000000000 967651961 942550520 58647851 14234242 1000000000000000000 538947675 266872622 306812180 64150010 1000000000000000000 234734817 22775109 22935090 103009863 1000000000000000000 994908888 387762776 735603792 436732303 1000000000000000000 48157485 46622132 34324474 3352604 1000000000000000000 68836888 22488876 45407489 8125569 1000000000000000000 835263702 371428416 816084920 243958532 1000000000000000000 798866843 651318752 484612738 317617438 1000000000000000000 751135291 133531754 87869661 212180245 1000000000000000000 696295217 681602031 356708361 267009300 1000000000000000000 315496835 23652993 226575866 114305274 1000000000000000000 423193543 310592132 166689544 123363133 1000000000000000000 829684312 577156595 656601700 178468661 1000000000000000000 223688366 7663141 203181446 167076428 1000000000000000000 406565722 395220226 180871020 199592085 1000000000000000000 580440388 422514761 241301896 24900837 1000000000000000000 936589792 635212420 252476684 526013981 1000000000000000000 325283677 122438230 29551620 169503482 1000000000000000000 101776325 57025442 6043143 57025095 1000000000000000000 852142856 788131918 587114338 827222568 1000000000000000000 188633478 39767358 103850521 184727771 1000000000000000000 620095863 448516660 312785061 442905808 1000000000000000000 968215559 604220198 770885975 406461640 1000000000000000000 964306966 906038873 905696792 4733843 1000000000000000000 72257503 63624298 58606089 38176832 1000000000000000000 356513678 319113372 294411488 175300976 1000000000000000000 462232770 171645344 137148665 29687765 1000000000000000000 673138840 155869095 358179752 630582739 1000000000000000000 832985953 73429988 732140436 456300751 1000000000000000000 6959166 4693786 45995 709342 1000000000000000000 24221001 2506242 20090014 9623154 1000000000000000000 933018836 142452377 931538745 905411027 1000000000000000000 756004474 405730793 313081060 753266334 1000000000000000000 633168921 306067055 61066125 157619279 1000000000000000000 783129943 129346210 70789619 188026797 1000000000000000000 875392112 23367130 538453696 557179389 1000000000000000000 81478546 62600724 10722063 41673331 1000000000000000000 475801354 273814204 275787807 91349935 1000000000000000000 28603940 10907443 23078757 23733916 1000000000000000000 960755025 416687282 813112617 701196778 1000000000000000000 120441210 54300246 60329141 16487618 1000000000000000000 661662265 88499940 124084511 537326188 1000000000000000000 204507068 186323392 50812121 147834124 1000000000000000000 711361773 592982127 302004360 231086981 1000000000000000000 378534619 137137977 80660417 50632767 1000000000000000000 276473386 269374085 49870488 48311640 1000000000000000000 97762801 19380394 35563738 59405855 1000000000000000000 491732034 208862728 102946300 162469677 1000000000000000000 516335267 346760390 281081887 250866483 1000000000000000000 366260636 285839817 99499929 177186756 1000000000000000000 605924472 95718477 331475799 201445166 1000000000000000000 611861781 570183079 175844977 488152142 1000000000000000000 915962369 302473538 248582235 386672846 1000000000000000000 942001576 78457580 644083079 157310769 1000000000000000000 937683887 387779898 47803979 805373398 1000000000000000000 275859766 26956560 8176315 32264627 1000000000000000000 886776619 513210439 411608143 246995767 1000000000000000000 67486296 42881342 34028168 9202376 1000000000000000000 693027419 264584201 215209727 517354884 1000000000000000000 194334107 54970168 63966458 57654769 1000000000000000000 961327969 767227480 920787259 397413555 1000000000000000000 38782079 36995989 19462250 8091580 1000000000000000000 909988483 415689930 704250890 157111904 1000000000000000000 180876132 126075661 47016435 154689411 1000000000000000000 309477658 236933784 126405195 304961970 1000000000000000000 661990263 649859960 104701799 274497110 1000000000000000000 230373074 184664161 173353068 166172175 1000000000000000000 733380479 25815736 577451260 676710511 1000000000000000000 605687682 467180200 502515717 299011447 1000000000000000000 265413852 149529795 201869197 39202640 1000000000000000000 781081354 128246504 590030281 170225311 1000000000000000000 885935023 276612459 148238571 457704389 1000000000000000000 358300804 41154724 253245256 238983822 1000000000000000000 327753412 32211848 279387227 161085442 1000000000000000000 880913017 591052092 606548678 391953581 1000000000000000000 691758029 587132374 357988484 181225675 1000000000000000000 569238522 210740519 486043613 549092403 1000000000000000000 29712329 15370192 17366241 22436449 1000000000000000000 228525124 56281317 179868435 177763671 1000000000000000000 128118816 37305936 11298796 61314296 1000000000000000000 358981590 263909545 170035387 151143024 1000000000000000000 918338330 318536660 593009968 72702664 1000000000000000000 836247866 388828620 818815945 707649395 1000000000000000000 299320756 248741723 82544851 169319288 1000000000000000000 918788494 155414834 807928300 909312144 1000000000000000000 486279639 28186880 192770103 262830753 1000000000000000000 952368178 569216972 564160979 618686782 1000000000000000000 555830410 378186403 331276768 455550820 1000000000000000000 863313366 232133942 181774603 465320381 1000000000000000000 752926653 376444264 198500484 243290270 1000000000000000000 854566110 424616822 675225295 492138146 1000000000000000000 225127772 142597465 48709620 55555617 1000000000000000000 382752997 242555314 7072557 212151648 1000000000000000000 313452609 156325316 23848161 190258830 1000000000000000000 873913998 770707417 447547526 752885381 1000000000000000000 940796502 344187949 233664200 917473082 1000000000000000000 85478580 69796964 81590550 20654813 1000000000000000000 353424201 99925080 244114306 135964703 1000000000000000000 596670436 343226736 575475772 496361150 1000000000000000000 56469778 13765603 22873184 32424882 1000000000000000000 619803060 338911474 86162744 16097233 1000000000000000000 15578413 7158958 10590743 7433319 1000000000000000000 632801966 357279098 538949510 222947162 1000000000000000000 129672612 11155152 13309412 19439514 1000000000000000000 781312518 189799393 167383822 21501180 1000000000000000000 67266865 61519585 48097321 54151375 1000000000000000000 126115312 118001480 36428019 23921727 1000000000000000000 291959114 167438756 100462141 102352771 1000000000000000000 540550119 301717397 396205245 224970696 1000000000000000000 656323952 533147795 86457278 231956293 1000000000000000000 857236178 679082157 500924303 9805501 1000000000000000000 144456611 69749441 21134647 53353667 1000000000000000000 658620084 456199849 135808336 632928759 1000000000000000000 442346335 270681085 30740974 42964342 1000000000000000000 415868782 184890295 239616839 2186325 1000000000000000000 393605717 219010877 271879577 393279349 1000000000000000000 398131416 36670886 52734003 18680230 1000000000000000000 265113872 147545487 128345227 67202611 1000000000000000000 897950827 886926328 373290755 669715494 1000000000000000000 646619504 272404792 431338917 167688256 1000000000000000000 83258712 28325380 75941691 4024041 1000000000000000000 999423315 635884130 391006579 699364420 1000000000000000000 402173410 116899673 79737616 400488673 1000000000000000000 464874740 407158283 172991227 340218786 1000000000000000000 214057124 141191967 28922014 142850323 1000000000000000000 678849657 260301014 495086233 629035509 1000000000000000000 174145852 101354492 99161163 161821675 1000000000000000000 22335853 18784120 9023397 13643983 1000000000000000000 404618910 316043863 294861325 242618106 1000000000000000000 416248312 284303804 133591772 62136585 1000000000000000000 13930561 895669 8493832 4548140 1000000000000000000 539647089 447297364 326440435 449981174 1000000000000000000 230975162 19694932 162885143 172958826 1000000000000000000 115579097 52362930 58434626 29051293 1000000000000000000 252007623 160912019 187429286 129399561 1000000000000000000 746699556 394445149 586705539 35331947 1000000000000000000 4560471 95638 1976556 957981 1000000000000000000 57140892 4352369 26848860 36790014 1000000000000000000 764362591 11524001 326773418 756566915 1000000000000000000 101540322 42477415 72439029 18954676 1000000000000000000 644421366 515670123 504875321 459529314 1000000000000000000 120377742 31588893 66606181 99480883 1000000000000000000 150185979 91363716 29744817 59655221 1000000000000000000 6755529 3127794 6094724 3947679 1000000000000000000 828776713 419511060 802674354 604062581 1000000000000000000 464715528 57988497 137975565 68185458 1000000000000000000 814906367 143395351 484764685 727559251 1000000000000000000 850146689 168582855 324795135 586824576 1000000000000000000 882403472 869270358 397766368 177420096 1000000000000000000 993658402 828561217 491306219 211645991 1000000000000000000 578118987 412431017 545650601 212239439 1000000000000000000 855584411 229970475 650347933 652778842 1000000000000000000 602962140 77401047 451175650 69848841 1000000000000000000 126345438 26110568 35304721 44773193 1000000000000000000 665088437 335290618 203570198 306403586 1000000000000000000 576584086 423066804 257501925 547687987 1000000000000000000 672577203 76143780 421448113 526277772 1000000000000000000 265724466 81565976 53241628 10140442 1000000000000000000 580115902 163377012 47970388 196319507 1000000000000000000 514352446 97351607 97789576 284024350 1000000000000000000 468339042 451456469 122409829 119598695 1000000000000000000 119743115 102666200 76549633 56417187 1000000000000000000 703892799 342873939 630283125 689112496 1000000000000000000 360931964 268749732 165420495 31749910 1000000000000000000 576338939 86081498 534609322 310306644 1000000000000000000 260242624 18575496 95961786 198893364 1000000000000000000 797994416 759371840 656999078 394387088 1000000000000000000 304590373 215851608 67581868 165067584 1000000000000000000 136562418 110144828 60438168 50798593 1000000000000000000 573521130 154657739 132302724 140776 1000000000000000000 223163242 37501615 218817649 21576730 1000000000000000000 690616231 54691225 627617495 332155013 1000000000000000000 676198269 594224240 131448867 517065522 1000000000000000000 441060337 186841264 252286493 403355158 1000000000000000000 778259711 649648610 556599579 221745940 1000000000000000000 798933963 24855927 484914811 211993295 1000000000000000000 723478895 31676403 79103852 426557813 1000000000000000000 614428345 282541119 452005633 314381348 1000000000000000000 543722594 311163287 118301465 16071620 1000000000000000000 55272818 12162742 22236063 917248 1000000000000000000 181330152 22840394 34130769 165020805 1000000000000000000 740496000 378268043 367255903 541376526 1000000000000000000 480121009 277246608 165743619 300448255 1000000000000000000 13860985 9983127 5377342 10081391 1000000000000000000 899045285 159690672 281748774 563813062 1000000000000000000 38041778 25595030 3848688 27284703 1000000000000000000 39710814 15279683 15592080 36854080 1000000000000000000 902148489 281301872 60924615 330452282 1000000000000000000 80438225 60076611 1255659 64781268 1000000000000000000 459879762 41870015 438806175 440879536 1000000000000000000 77572255 10559737 69862053 29876326 1000000000000000000 600890339 401237982 30985579 514516062 1000000000000000000 690825636 189216310 349772760 591436032 1000000000000000000 713954201 689235185 244276599 622226155 1000000000000000000 552983163 159359926 113240613 232447620 1000000000000000000 122554690 93045306 29655252 69665214 1000000000000000000 178504845 178313993 116068106 50251426 1000000000000000000 190219305 35566315 180926562 71022967 1000000000000000000 245602857 203496413 48359284 66627993 1000000000000000000 178729624 156046859 78166318 49278448 1000000000000000000 187633143 119648044 110585831 133190000 1000000000000000000 226204141 179504226 167416223 4845539 1000000000000000000 87971758 65729769 7352666 86457697 1000000000000000000 820710773 86361338 159590386 175835909 1000000000000000000 78063585 12097765 45197773 18201952 1000000000000000000 909494980 522598939 392972235 26124500 1000000000000000000 658920684 581425014 30053389 585059659 1000000000000000000 711031843 85275128 658652382 528178827 1000000000000000000 578433776 1995329 30721392 244475988 1000000000000000000 802887973 361882286 800180618 680067285 1000000000000000000 748806235 500276546 236757584 647617241 1000000000000000000 203574878 6103563 153117629 56874 1000000000000000000 473227325 215367582 47357623 140093915 1000000000000000000 415851335 160792164 359598499 170829104 1000000000000000000 460473017 347859196 313416960 366025496 1000000000000000000 519263185 40398230 398848549 500560018 1000000000000000000 307990198 135744074 287126522 89907451 1000000000000000000 293493830 191304672 157959728 26922771 1000000000000000000 718206861 397596517 629065940 174192341 1000000000000000000 415197252 102917915 171522594 53987849 1000000000000000000 81372752 38550358 56581429 29714336 1000000000000000000 630775951 28743260 229462411 411313347 1000000000000000000 519037602 2052586 334294265 182887813 1000000000000000000 504903012 493367204 299900298 70494213 1000000000000000000 523389783 511094895 172462456 235548773 1000000000000000000 69953844 22467653 48846982 43393754 1000000000000000000 988721490 910959385 407390016 575520463 1000000000000000000 85399858 1596875 2406854 66588892 1000000000000000000 976559706 800652068 136289069 246562891 1000000000000000000 656734809 406315475 560619154 582020023 1000000000000000000 359942360 101097007 48933627 318933402 1000000000000000000 27148417 17769190 23840819 19197346 1000000000000000000 763242415 386839955 714033033 434848151 1000000000000000000 296504338 213456107 819335 33440931 1000000000000000000 727371581 148801158 415612303 675023842 1000000000000000000 331361149 68754869 242374225 262553129 1000000000000000000 796117860 611098656 319226166 374308562 1000000000000000000 902922938 480478237 732869218 581114676 1000000000000000000 600719282 346284366 222800805 344239659 1000000000000000000 242653327 165023642 231996881 191457507 1000000000000000000 889980754 359512869 281387695 808428648 1000000000000000000 495312161 167687368 253901997 134849673 1000000000000000000 321921588 219888874 282191339 95770573 1000000000000000000 256707673 146957459 145459588 58404246 1000000000000000000 881559103 842091957 654927573 733349054 1000000000000000000 337952081 175719589 274260529 250474678 1000000000000000000 215548039 149495661 104972670 20532829 1000000000000000000 252185849 108813878 199918065 246555018 1000000000000000000 905091872 801043894 273485514 902692306 1000000000000000000 659300174 246299309 213786012 183525075 1000000000000000000 231297214 112773364 131312490 87886843 1000000000000000000 805193528 76628132 548213306 646008955 1000000000000000000 46538966 31680553 38779865 36949302 1000000000000000000 370222043 298021775 241987682 41538834 1000000000000000000 797729052 614202385 563928489 146921795 1000000000000000000 982415995 89952583 533516644 455739563 1000000000000000000 985579878 449713711 446139242 562696411 1000000000000000000 527792641 111654777 396032198 496333211 1000000000000000000 905820963 75770966 8022117 63971053 1000000000000000000 758940962 56546527 304654395 98444144 1000000000000000000 691754504 448178764 201934984 98982055 1000000000000000000 710608089 682891372 415565490 447426676 1000000000000000000 66961054 32562160 55268042 53837233 1000000000000000000 606407845 78462512 393922190 322640452 1000000000000000000 177411078 5944141 78648577 142283193 1000000000000000000 707731111 373124913 134190006 299643058 1000000000000000000 667892266 14176251 592566842 37778320 1000000000000000000 999744217 424382033 389933350 502712316 1000000000000000000 634168458 24335313 21793058 199699503 1000000000000000000 738604534 545872768 283085491 406045676 1000000000000000000 194144248 155480282 21559744 15305171 1000000000000000000 114622204 28606952 81708621 111419266 1000000000000000000 438664974 94212159 398087665 108768251 1000000000000000000 831780697 601877632 50601777 600894121 1000000000000000000 25403314 10943351 24224789 1386738 1000000000000000000 980340276 694498926 280041743 391987804 1000000000000000000 115199428 82817826 113221065 35383330 1000000000000000000 828912895 347571902 760438990 229362436 1000000000000000000 281576009 80126025 32332231 48287677 1000000000000000000 815997631 55897935 643786827 569992648 1000000000000000000 717030325 17240065 332219899 164882097 1000000000000000000 90350350 10610327 60581959 74942031 1000000000000000000 200436503 131574702 45500988 86336760 1000000000000000000 549632802 499076586 71272767 63624680 1000000000000000000 746850476 112008452 379009910 251677789 1000000000000000000 56191408 46867923 14801361 26997283 1000000000000000000 825686642 319981053 346378362 212864085 1000000000000000000 902264732 167702480 531938698 386116220 1000000000000000000 682805740 600036077 215525054 174740036 1000000000000000000 716630327 715336573 301088494 307298273 1000000000000000000 937581910 157630973 222418498 788233484 1000000000000000000 684420954 314892805 396488767 323752448 1000000000000000000 756783887 739777161 704824630 683285082 1000000000000000000 786348610 406126337 175202752 269461227 1000000000000000000 245121063 192019354 154013859 102065733 1000000000000000000 780093713 618979620 136328181 682205846 1000000000000000000 20774166 16350706 5163391 69535 1000000000000000000 763991768 632142649 93512221 436028589 1000000000000000000 256142556 124215667 172275565 243442220 1000000000000000000 169263361 29723853 12624821 90142527 1000000000000000000 333579428 25202142 102971286 283732640 1000000000000000000 97261300 72982138 69339527 17598179 1000000000000000000 487132514 138589467 156906552 319328605 1000000000000000000 153883802 39331688 12730315 25214863 1000000000000000000 289237324 71871162 182679760 97218178 1000000000000000000 35598792 2739006 11348996 16719654 1000000000000000000 234139380 52965700 8042143 9604218 1000000000000000000 971976889 944319803 886493943 746345411 1000000000000000000 869368086 457822634 589604082 345673636 1000000000000000000 480179849 230941675 126748247 431618575 1000000000000000000 214512973 194421782 159223346 1486682 1000000000000000000 62204504 46706645 53192504 21849564 1000000000000000000 647970107 81040778 72571505 428101667 1000000000000000000 141592270 128809375 86747047 109025271 1000000000000000000 862976856 834004040 356374918 688547640 1000000000000000000 58663859 21968896 3862043 129983 1000000000000000000 606746020 364381146 383091468 236636636 1000000000000000000 72186574 47566025 52725918 64500741 1000000000000000000 796037760 761100837 44400756 258696886 1000000000000000000 76422114 14645474 43680532 48261824 1000000000000000000 179453762 155190308 85313897 42877507 1000000000000000000 849703062 309717055 211298632 170000686 1000000000000000000 926480945 468982 358565459 27291666 1000000000000000000 905441381 762223210 577893806 831984875 1000000000000000000 911670159 795048241 480493198 359991645 1000000000000000000 249191330 79638947 69926036 183144637 1000000000000000000 70692801 9610283 27150458 61370444 1000000000000000000 100256410 83588038 92180712 58833813 1000000000000000000 436222079 354939704 419108741 50558419 1000000000000000000 550060184 487922153 447899782 129969773 1000000000000000000 742907615 56029152 498210543 121684580 1000000000000000000 771419960 291483807 662795760 611935239 1000000000000000000 553945370 431717982 167486944 396216947 1000000000000000000 714731922 99173817 528368324 91102793 1000000000000000000 129690168 10374867 36697087 72599687 1000000000000000000 418799824 190630192 247719037 349016645 1000000000000000000 196472474 101177276 175344967 45670623 1000000000000000000 198179648 104152828 173257857 42976563 1000000000000000000 224588989 138966829 65985459 154071665 1000000000000000000 687710347 583578756 488434593 154988035 1000000000000000000 539792801 113661987 401974194 62469821 1000000000000000000 863512502 421099633 35509808 741951551 1000000000000000000 386598387 158517589 320048686 347911983 1000000000000000000 504762512 25848172 494312001 238896534 1000000000000000000 926575947 228741996 389281625 147341950 1000000000000000000 593215048 32009833 301846309 172585328 1000000000000000000 564628518 542441232 181754943 482357735 1000000000000000000 180926149 138865987 37306874 91052353 1000000000000000000 602468110 55599413 162331678 251785668 1000000000000000000 527350692 264106616 422820319 431936688 1000000000000000000 311472000 221610558 186018815 18656516 1000000000000000000 379343947 290635994 101066778 21013823 1000000000000000000 313180342 116882326 266735944 92860468 1000000000000000000 826044788 217643102 434405927 542907197 1000000000000000000 182188024 34966 145228916 80032585 1000000000000000000 714192692 463869146 321555215 91767810 1000000000000000000 865896348 25529394 384640662 220312370 1000000000000000000 626994908 233911066 20349074 602259524 1000000000000000000 216950302 68015834 155242991 131030886 1000000000000000000 479740722 407009315 75050135 403822787 1000000000000000000 999555119 373376674 476854997 469559878 1000000000000000000 273491096 96959966 34923946 164624153 1000000000000000000 120903943 99082348 82359701 36151684 1000000000000000000 436664133 376042019 281690706 355154295 1000000000000000000 283156844 134547517 175462035 10589485 1000000000000000000 297875015 245954342 236090472 205467673 1000000000000000000 920927430 134498781 643558955 211761191 1000000000000000000 718362467 260540322 401992996 472529032 1000000000000000000 535515748 263483909 317378334 242759632 1000000000000000000 849652928 758640405 412016810 702889652 1000000000000000000 126157590 10553009 3089209 6477981 1000000000000000000 42353456 1482923 1502818 10230117 1000000000000000000 57284127 32363491 53405815 52202618 1000000000000000000 843575322 396697711 532406524 666900000 1000000000000000000 894830515 800975254 391027393 250821801 1000000000000000000 163782077 62941098 115052567 130987652 1000000000000000000 917014164 177543137 541113780 783137058 1000000000000000000 433024891 271280566 353428666 76354523 1000000000000000000 561966525 98658876 389339058 273554038 1000000000000000000 691763046 669476416 46019896 200107347 1000000000000000000 875571126 789077134 26908946 464348143 1000000000000000000 518731956 350107977 366828608 163604880 1000000000000000000 214568694 78235084 188051793 107173162 1000000000000000000 425180797 98345700 310912001 42020231 1000000000000000000 663799009 413851751 429033069 168213903 1000000000000000000 538831274 517338397 125953091 322883036 1000000000000000000 891631837 426727154 50357275 499133226 1000000000000000000 176617738 142106857 49309881 65307968 1000000000000000000 968190681 806494758 133034938 334035179 1000000000000000000 106949691 77019930 94706358 65725401 1000000000000000000 719746997 363818237 219619011 125773751 1000000000000000000 892971179 391567820 380396800 56590595 1000000000000000000 235517601 207567267 138003609 11218158 1000000000000000000 295620964 10819986 114855251 105169805 1000000000000000000 581991760 127767190 350716706 209957832 1000000000000000000 955854483 468765972 440365069 924836537 1000000000000000000 54219805 42882776 13699513 10164783 1000000000000000000 42305239 1068285 33249037 28341526 1000000000000000000 906532645 493379548 765888215 793222994 1000000000000000000 950061350 92763785 501181933 254583348 1000000000000000000 195914415 156657845 124837172 55750994 1000000000000000000 429453900 425077490 198112036 146524537 1000000000000000000 481608610 101367064 253875131 45972166 1000000000000000000 164798692 150486363 136839645 78295045 1000000000000000000 16210310 12026726 989182 2144691 1000000000000000000 970378965 116503759 849620975 882107418 1000000000000000000 676064532 415962697 371015172 80750948 1000000000000000000 229363078 189096200 79876095 10367661 1000000000000000000 266753646 128013371 41389204 216652553 1000000000000000000 524527543 407280310 67550922 122838274 1000000000000000000 805611268 506601837 767744141 399198622 1000000000000000000 160499632 66060199 14041156 78112256 1000000000000000000 787495684 517856781 11823499 634316492 1000000000000000000 205184091 58709717 148842775 25090252 1000000000000000000 486075570 28150634 253164640 115193586 1000000000000000000 439303131 30187364 406216065 430735543 1000000000000000000 613804160 294877027 244449261 33942345 1000000000000000000 465314719 42500657 146386906 223769449 1000000000000000000 95426329 83223983 6866036 60981887 1000000000000000000 630821765 31350819 70114878 97519381 1000000000000000000 753561556 498566730 712391584 350931766 1000000000000000000 158215189 156228220 143187312 132802412 1000000000000000000 88366444 11001190 70792934 31751500 1000000000000000000 85232113 70711346 71954764 65459714 1000000000000000000 511829137 408382671 201758128 28424206 1000000000000000000 178714961 65354508 19590249 129533448 1000000000000000000 198634217 84689927 52083966 33690921 1000000000000000000 975094057 541924852 970407144 623717170 1000000000000000000 120877449 90580129 39176151 35698884 1000000000000000000 368426871 311681931 7809244 187265273 1000000000000000000 812411163 223659754 557117049 175608660 1000000000000000000 592344129 133575322 128957547 545442171 1000000000000000000 646388787 533404578 89416339 255505743 1000000000000000000 557717232 84473555 467513193 438848210 1000000000000000000 663078232 27277815 520875063 59229932 1000000000000000000 955249922 309314464 22147874 519499893 1000000000000000000 702318137 292566214 233212159 266602353 1000000000000000000 303658441 167146292 227772351 170630931 1000000000000000000 253242824 171079188 64583406 237304237 1000000000000000000 927170629 401650034 643985574 3449179 1000000000000000000 67108921 57248145 5648602 55466829 1000000000000000000 210239649 35757302 45313568 84124519 1000000000000000000 944475852 58286387 805419566 125538978 1000000000000000000 926869198 913466635 111965971 711175493 1000000000000000000 58240219 23806975 4996004 4539690 1000000000000000000 668694761 80559330 622435169 228704199 1000000000000000000 618023909 173512425 162785969 342715814 1000000000000000000 234727832 79576056 177816169 23211110 1000000000000000000 938305659 920224638 872793019 718649355 1000000000000000000 178610503 79982564 129346055 95210607 1000000000000000000 735017671 239691418 693774898 394967697 1000000000000000000 718073285 593859664 372013485 14885920 1000000000000000000 3821286 1360976 1360918 2225755 1000000000000000000 627692051 72110354 316726347 107064905 1000000000000000000 743408582 479101624 120745475 543717217 1000000000000000000 941535441 829918686 385663502 806543757 1000000000000000000 2234398 1342000 635853 450188 1000000000000000000 662393481 490872227 60077660 392337460 1000000000000000000 785225797 667171793 163313252 685528980 1000000000000000000 494140340 23125653 148613303 123354807 1000000000000000000 184514390 44733690 84708099 51703417 1000000000000000000 124876500 104096896 12237778 92993562 1000000000000000000 706818423 147588257 221106262 70346336 1000000000000000000 524747291 398455723 207830697 16197365 1000000000000000000 635617560 413628094 477255710 599150046 1000000000000000000 920178906 599336606 31176066 745544446 1000000000000000000 751027918 43465733 13088171 732634672 1000000000000000000 371694976 273369352 110687690 306714781 1000000000000000000 23714480 2682898 11360385 3630701 1000000000000000000 449823355 363138996 346068160 336430622 1000000000000000000 731147628 335423316 722214437 245880418 1000000000000000000 574711450 122289092 251589511 396628779 1000000000000000000 130583344 21380288 651476 72900247 1000000000000000000 40294937 37778104 21897851 33948125 1000000000000000000 575288424 423448401 454618363 485860293 1000000000000000000 575849758 110509582 563973163 168284370 1000000000000000000 610065283 206180240 243767361 302796269 1000000000000000000 527893666 527490943 273070311 248244547 1000000000000000000 908695838 360991063 187911095 169974620 1000000000000000000 977674632 436006580 255886071 607901845 1000000000000000000 583962030 212851980 218438979 415018133 1000000000000000000 209025586 199611716 20183621 94995302 1000000000000000000 822356732 97746501 187398388 63649183 1000000000000000000 798818852 188727792 679371205 157645899 1000000000000000000 706388485 472112622 75952901 468981868 1000000000000000000 474577630 350491605 444279745 213039353 1000000000000000000 583150850 472423505 239320039 431328882 1000000000000000000 846359083 169257359 473298950 838263023 1000000000000000000 866372311 849971068 653316496 471915246 1000000000000000000 212369127 178163968 91760818 184268439 1000000000000000000 687222253 303069079 533676893 685834000 1000000000000000000 801634152 206848972 24008684 450120030 1000000000000000000 589104622 295506027 490152696 582518724 1000000000000000000 408653822 205380694 391320509 293700603 1000000000000000000 338226878 306327748 286516393 7994249 1000000000000000000 359813708 303118257 139225253 253418609 1000000000000000000 393978490 5921921 331799681 278905183 1000000000000000000 955584792 707172241 198671368 85942487 1000000000000000000 282176728 58247628 257267203 197580053 1000000000000000000 926613626 709716738 23868179 589194953 1000000000000000000 13523640 10343230 11050794 4248266 1000000000000000000 856925212 807059843 421705685 152614759 1000000000000000000 570452204 366060399 162659911 30435907 1000000000000000000 368761786 92439821 14329091 214756009 1000000000000000000 930345357 725698499 17379882 35078983 1000000000000000000 440526682 112092354 128248763 229586996 1000000000000000000 463658982 283303799 392782558 108172485 1000000000000000000 577925632 570573624 438789255 479210699 1000000000000000000 36380668 25171508 20745701 23879100 1000000000000000000 656461989 431893468 223655266 365443741 1000000000000000000 523148073 153225460 454283289 28474833 1000000000000000000 500157530 471971009 355269997 251217461 1000000000000000000 985819232 647392653 580007723 877870904 1000000000000000000 707893608 436101457 290301924 119799931 1000000000000000000 619768273 307842772 409385329 144539442 1000000000000000000 892159320 556205382 91170826 113448169 1000000000000000000 956814088 301954524 731466954 393207933 1000000000000000000 35810417 27944918 835550 25509242 1000000000000000000 412939702 397880826 164876136 297102723 1000000000000000000 480204256 382571200 90458401 52173762 1000000000000000000 521169869 70726760 62824179 287204270 1000000000000000000 333038130 258937790 125265338 309633290 1000000000000000000 171879874 59333595 108525090 145210922 1000000000000000000 502920508 145185720 93855258 206264557 1000000000000000000 675000553 379113994 177224502 222602622 1000000000000000000 270154344 180528377 68717051 212220655 1000000000000000000 231097958 104910467 45433982 187190197 1000000000000000000 880978887 150193556 194679501 716341687 1000000000000000000 570479309 273628758 49495168 491469156 1000000000000000000 301004287 29478547 13834052 156884470 1000000000000000000 169651457 74251380 24017238 147371500 1000000000000000000 33973900 27710829 21495735 18382837 1000000000000000000 934788718 181933719 934222157 93978540 1000000000000000000 560887724 553268035 574477 46765347 1000000000000000000 850619903 179810757 190851985 504119476 1000000000000000000 578613361 69012379 440585285 251559135 1000000000000000000 812800574 279460871 260006313 809649921 1000000000000000000 122533100 35130662 111069824 116567683 1000000000000000000 225538585 6446465 150909884 71214303 1000000000000000000 906842913 730700821 227877866 160133488 1000000000000000000 722792880 708683637 495828296 57539631 1000000000000000000 542870802 238923666 232385318 86925904 1000000000000000000 819180087 807127754 234813875 609046828 1000000000000000000 614278220 231827267 326181535 3926373 1000000000000000000 502651574 218167785 390416852 274596356 1000000000000000000 180428439 45119824 142088188 109844883 1000000000000000000 188687942 154246465 79520794 93245508 1000000000000000000 638899602 206643002 229731558 65379309 1000000000000000000 97452945 22911457 82380066 16305994 1000000000000000000 520232668 448397860 91941761 114176452 1000000000000000000 183881541 158802474 13445533 39846748 1000000000000000000 686873259 582451934 101698478 619465646 1000000000000000000 545070156 430120756 471628635 101765795 1000000000000000000 319660032 52918842 236419776 312352764 1000000000000000000 308910019 123462053 294216891 148407636 1000000000000000000 17391259 9899289 16013948 9023978 1000000000000000000 520915940 130663127 472020588 421367693 1000000000000000000 49334290 34889926 26623418 20813093 1000000000000000000 705208203 112772062 529599908 74698023 1000000000000000000 936602264 521530677 625610618 501241764 1000000000000000000 820990308 160713186 140582890 721088580 1000000000000000000 153270722 141590452 103146651 70645679 1000000000000000000 511442693 500442194 233866991 59460899 1000000000000000000 35350920 32323273 34515686 22970249 1000000000000000000 507487800 195939051 150360208 132839970 1000000000000000000 126685083 118054531 75522299 86918041 1000000000000000000 573366203 452473924 130438268 512895288 1000000000000000000 528449259 88837732 263409404 428745270 1000000000000000000 863167548 719596552 180974675 800939412 1000000000000000000 608840845 585272189 461906097 308327183 1000000000000000000 839006093 759359859 208755397 195233272 1000000000000000000 380656399 93042170 304485379 281513387 1000000000000000000 684860060 448977702 124864786 230232105 1000000000000000000 147462108 6587584 47036413 111511038 1000000000000000000 201235142 25355745 8168152 167215634 1000000000000000000 645884320 84079639 112999905 638897908 1000000000000000000 253014605 168486770 86962951 148452055 1000000000000000000 674722771 648564215 661139587 410694918 1000000000000000000 661056076 173944870 120502358 635176885 1000000000000000000 887235904 778907439 812738007 182042945 1000000000000000000 717463811 56055192 336243648 108291341 1000000000000000000 459853417 312533391 281456321 95952870 1000000000000000000 422234244 28999657 271164713 51161111 1000000000000000000 942356605 628241735 318077675 6475608 1000000000000000000 810754567 446596154 37560736 189702340 1000000000000000000 501930641 221127688 150504158 460559041 1000000000000000000 499889988 472630100 345472380 317676433 1000000000000000000 2994592 2916147 2475589 2648999 1000000000000000000 106170983 67081379 60540236 93016807 1000000000000000000 256365139 121650896 248619574 224312616 1000000000000000000 524405593 168704877 244962176 198710734 1000000000000000000 956001307 469376382 419956698 76325934 1000000000000000000 556176662 24757824 31381673 78054885 1000000000000000000 263031991 83424065 138518753 28506841 1000000000000000000 873473364 460189199 354804243 363848120 1000000000000000000 408251627 29028543 369637442 105476057 1000000000000000000 525222052 177682723 384488266 223782956 1000000000000000000 978557494 826955256 171549165 746523083 1000000000000000000 912181035 325957831 669257546 246656389 1000000000000000000 458672336 362075699 97550410 391264923 1000000000000000000 297919059 1227883 59077738 141527400 1000000000000000000 477545321 87507304 237126438 340079152 1000000000000000000 487972469 218048834 479628584 132742052 1000000000000000000 615649955 394522082 54137108 583194147 1000000000000000000 25304360 17756667 5332584 14244712 1000000000000000000 906696204 373918697 847188902 897981822 1000000000000000000 73253300 35360272 2237275 19535144 1000000000000000000 347926789 130517554 31199991 144484696 1000000000000000000 587536272 72185260 537623982 100035100 1000000000000000000 569176035 171137767 11812341 37333069 1000000000000000000 852825804 419938312 283700360 539126725 1000000000000000000 438986036 248475861 419316431 129382539 1000000000000000000 883005559 154362785 137427595 142803566 1000000000000000000 414881171 66394875 11934862 140721655 1000000000000000000 463850730 20671450 103824301 155722094 1000000000000000000 706076690 654336442 507099144 308601498 1000000000000000000 743159862 119645297 346290248 87254559 1000000000000000000 939885336 616216887 71943061 540081847 1000000000000000000 9375892 5818136 3840635 853278 1000000000000000000 74644487 14750506 33204253 69985581 1000000000000000000 111496986 61274307 79852735 10264143 1000000000000000000 727929334 187081999 205153386 183646016 1000000000000000000 874738058 640192787 343613811 206568893 1000000000000000000 691434469 543792637 225332394 331911411 1000000000000000000 447335797 230913636 102814607 177510306 1000000000000000000 483487544 466076598 169364205 304551610 1000000000000000000 596464793 413668205 501559240 98740388 1000000000000000000 872083488 253861566 355395815 181476981 1000000000000000000 394823337 113125781 281105629 167699247 1000000000000000000 110993257 44490294 108203799 11318065 1000000000000000000 880411236 43621936 420291885 315790707 1000000000000000000 115839819 8833729 104166823 1275749 1000000000000000000 211012419 41185077 122366705 80851998 1000000000000000000 707604967 568217324 660584865 127404656 1000000000000000000 230263224 105509214 182209540 203301374 1000000000000000000 113613765 44695880 17975391 29875479 1000000000000000000 144882020 28056980 25962830 89624311 1000000000000000000 240691069 92610927 180881207 109252003 1000000000000000000 272310323 115226492 137346626 150736845 1000000000000000000 885381157 347241787 778741643 377622773 1000000000000000000 368805455 247575283 222043934 243656860 1000000000000000000 748116240 418611278 21539473 519016278 1000000000000000000 806750654 343377175 100831712 440995029 1000000000000000000 127737266 66781402 83707538 105796529 1000000000000000000 303729620 80512220 111979027 130965708 1000000000000000000 678756612 98334069 618276862 457356200 1000000000000000000 44113553 4811563 35248459 18765918 1000000000000000000 720102458 228528407 236636085 185567048 1000000000000000000 108608096 65737469 91400320 35158686 1000000000000000000 792766866 43242471 61148583 783758553 1000000000000000000 474987385 276829005 426795775 352570905 1000000000000000000 509253414 403474481 157978150 507846174 1000000000000000000 721543048 291663320 537542841 688483036 1000000000000000000 60859175 48688781 10829232 44571126 1000000000000000000 54407421 18132290 21849286 13318344 1000000000000000000 296249038 797748 140063216 50956897 1000000000000000000 510494623 45943886 421750934 65484941 1000000000000000000 811585989 310704665 626105120 383573122 1000000000000000000 102578732 59619412 42465007 102417905 1000000000000000000 733448798 94098250 675519052 4297601 1000000000000000000 620320093 503218540 63026208 177908812 1000000000000000000 926483671 638255481 378356679 433985808 1000000000000000000 294310304 60092967 13233632 135366056 1000000000000000000 512270362 217764091 223583046 358794274 1000000000000000000 99052973 10680045 95355754 14958591 1000000000000000000 346923724 105793486 309153469 11928387 1000000000000000000 89143028 60551123 87226217 58607150 1000000000000000000 736680821 212353464 402233223 94642957 1000000000000000000 507939801 449461486 442807580 235964227 1000000000000000000 631370209 500992682 59777443 529678554 1000000000000000000 363584966 22731766 95763008 172830728 1000000000000000000 173114458 79356037 165535156 82595975 1000000000000000000 377189999 333371007 93274220 310435537 1000000000000000000 306832670 2830775 292280333 229027693 1000000000000000000 798333932 318720266 666509124 412746890 1000000000000000000 662550608 149101394 552220917 620099951 1000000000000000000 695698393 38610322 562781775 129984219 1000000000000000000 711791490 387350021 106408472 361369077 1000000000000000000 985343487 179883794 793446788 902084135 1000000000000000000 866230443 181553017 761243916 312480740 1000000000000000000 455872885 288469301 408373851 239845971 1000000000000000000 650942886 383616139 275726528 149997419 1000000000000000000 180503490 96212790 149648333 42939995 1000000000000000000 859240427 18599241 623230896 295233547 1000000000000000000 785419133 258005361 677433973 78284684 1000000000000000000 744859029 144191745 572934621 165586333 1000000000000000000 861963313 134773468 336529880 173723501 1000000000000000000 53487327 18609968 13435943 40953442 1000000000000000000 317279603 30975900 281385119 135042828 1000000000000000000 587220431 105379622 166994145 560526275 1000000000000000000 541628343 153595540 115542530 131864605 1000000000000000000 324030929 89523245 2701935 185081326 1000000000000000000 410496060 212202275 105884941 155535009 1000000000000000000 319620278 152708071 180113067 260423077 1000000000000000000 593169199 259213597 236515349 336804646 1000000000000000000 365632325 261942269 156566424 14515643 1000000000000000000 373080847 23678313 361520095 203593656 1000000000000000000 867842061 42009764 772033810 555200419 1000000000000000000 436627605 400054931 164726848 206145209 1000000000000000000 730900427 244447405 496700783 558526090 1000000000000000000 997906029 783009307 678301205 282026541 1000000000000000000 114923285 69620742 89607816 45348186 1000000000000000000 423539533 54974643 358074488 143340141 1000000000000000000 865688478 862700617 243527088 279205119 1000000000000000000 39442910 17634849 37197344 2974374 1000000000000000000 182708093 125090783 76769617 103231788 1000000000000000000 58485539 44648154 54047511 7159556 1000000000000000000 332993528 17378232 96039513 320341505 1000000000000000000 414219480 166690116 255387705 291393239 1000000000000000000 707529729 290982023 475053722 114474342 1000000000000000000 858932613 552336872 251102654 667112685 1000000000000000000 875264838 411611083 312825545 714660332 1000000000000000000 651539650 71826777 214441601 236553350 1000000000000000000 245186026 201721991 110063196 151467083 1000000000000000000 446601864 418309872 391830972 362341555 1000000000000000000 417170928 6309752 24671364 283029212 1000000000000000000 204889984 147547266 126919229 6354633 1000000000000000000 758389317 116876490 733510796 31387747 1000000000000000000 498829194 455135044 369230929 154196014 1000000000000000000 762378586 630401190 332346718 316364520 1000000000000000000 92390735 84227940 88072151 44506852 1000000000000000000 229262030 162961601 154326123 101515547 1000000000000000000 639029853 580463030 609770722 179835746 1000000000000000000 935823232 109223707 366722511 743332174 1000000000000000000 919283208 288853235 26536003 800834826 1000000000000000000 298030320 261351713 208770068 224230751 1000000000000000000 683020633 404886972 536525243 377134569 1000000000000000000 917372551 163823243 392529168 299765262 1000000000000000000 870357690 20375990 121778246 276849091 1000000000000000000 401580551 331849840 114184323 25202416 1000000000000000000 158908827 49678065 59717954 22007242 1000000000000000000 245452314 94526533 136511552 161983645 1000000000000000000 915588575 392441708 682455797 285684604 1000000000000000000 43115175 39042360 15841360 21039138 1000000000000000000 510509018 449080641 218037929 211195738 1000000000000000000 90213319 72004044 49580740 69507665 1000000000000000000 934539721 431614285 188430676 845318783 1000000000000000000 524086557 512474172 185575160 300251199 1000000000000000000 376833321 108784241 311657794 146989703 1000000000000000000 599074538 444088171 585975732 166779683 1000000000000000000 963930405 955567834 524305743 146109926 1000000000000000000 965862582 97556846 126966112 595790676 1000000000000000000 540030674 473002371 84648823 508384432 1000000000000000000 936278221 775919174 863040225 909842704 1000000000000000000 331268622 151173685 268308865 266490414 1000000000000000000 405476283 280406118 17744338 4414140 1000000000000000000 498136584 493583291 146500239 229222692 1000000000000000000 456149598 356185510 126195333 98114349 1000000000000000000 329361764 261850721 103162718 70144090 1000000000000000000 304700071 117482034 46472295 271040665 1000000000000000000 297908539 26734399 275990842 162724410 1000000000000000000 609864151 195797698 554495032 522435985 1000000000000000000 464079225 334522420 423771318 53683542 1000000000000000000 991987059 474372429 70262271 11180000 1000000000000000000 377261758 66722840 111983185 158471203 1000000000000000000 356489280 176693496 156813114 159962398 1000000000000000000 24694939 20299523 6551055 11804888 1000000000000000000 968999994 333970638 497863910 278047854 1000000000000000000 802214841 34231353 303723939 390390677 1000000000000000000 657075202 469590232 297209515 201382896 1000000000000000000 913188403 158725502 854112091 735472287 1000000000000000000 185255501 178424312 159453475 102650765 1000000000000000000 389208273 379933185 32309416 327496994 1000000000000000000 463890857 124812289 268393080 198233248 1000000000000000000 427892518 138661494 28629981 149510296 1000000000000000000 460648503 339400587 91876082 411024078 1000000000000000000 825244171 145970000 63122003 370102257 1000000000000000000 290051686 135134701 113920098 20160162 1000000000000000000 329038738 315933432 186680605 53028192 1000000000000000000 63388538 53516521 23603741 18496396 1000000000000000000 660656803 27888026 281187579 20471242 1000000000000000000 813900016 486524985 184824407 96815441 1000000000000000000 953353655 527414254 460354362 572981902 1000000000000000000 953552370 216338938 97143824 325497229 1000000000000000000 436039267 209388697 51259191 185527102 1000000000000000000 866284013 574292683 767128486 405840881 1000000000000000000 75416679 51009088 25546799 49604823 1000000000000000000 627362124 341654167 457839943 558410555 1000000000000000000 301893065 8006779 25882809 44445417 1000000000000000000 694460165 306744286 462777474 174200496 1000000000000000000 367649464 67308076 96728834 171747534 1000000000000000000 761503944 62540830 3810042 517631898 1000000000000000000 289945954 110292123 179740778 280059020 1000000000000000000 82252841 43558428 3755640 51674697 1000000000000000000 184258954 30853241 35218175 170319530 1000000000000000000 485993035 343069004 463934921 385189507 1000000000000000000 941290462 856678997 143790541 837304259 1000000000000000000 628969920 105685832 58505848 241980002 1000000000000000000 723812710 30007725 393548957 627337040 1000000000000000000 908342243 891965381 521504598 680819967 1000000000000000000 421400252 190672376 196611706 325539299 1000000000000000000 14117698 5933859 5656625 442392 1000000000000000000 872736893 131943713 308924619 390669561 1000000000000000000 921617366 384328295 301951163 90271062 1000000000000000000 171612320 44295894 114723169 69275604 1000000000000000000 99785711 80433821 98962596 58386855 1000000000000000000 318297815 92063905 43280314 15500611 1000000000000000000 450457932 280106221 435641579 431254040 1000000000000000000 858712482 180640185 507223102 674970962 1000000000000000000 160047791 119766761 42118572 76585456 1000000000000000000 624096675 460214841 480119203 345155984 1000000000000000000 255782536 103359538 177540966 164941777 1000000000000000000 417151068 368201761 348554824 98500884 1000000000000000000 893458675 697321709 211835468 209377846 1000000000000000000 851323717 666837968 593074889 324621176 1000000000000000000 948741442 568814947 48578556 485218267 1000000000000000000 281691154 113175098 216650738 129337755 1000000000000000000 843090040 290495656 385006685 249761259 1000000000000000000 582957171 96769575 373263387 133996156 1000000000000000000 861090423 554355290 556059257 28307150 1000000000000000000 512013695 109365591 502086734 452893729 1000000000000000000 674629933 266041038 430293841 417203067 1000000000000000000 464422749 377178077 288066996 9054312 1000000000000000000 828777190 263057645 333363413 822446800 1000000000000000000 457296860 146991737 180130486 234202402 1000000000000000000 127466051 66623400 126744571 42562901 1000000000000000000 896608262 758448696 13468728 364764427 1000000000000000000 465626637 89895596 247395149 388635743 1000000000000000000 953013844 242870428 130035347 153244029 1000000000000000000 526319786 15536036 228177247 154429146 1000000000000000000 425207990 384142633 88129352 391556557 1000000000000000000 238544603 146762178 44951420 30425291 1000000000000000000 651886867 521493352 85518441 170462574 1000000000000000000 761786746 644177332 85082716 505078305 1000000000000000000 527062464 391442288 421840169 43024105 1000000000000000000 304214242 175913721 139201409 271000870 1000000000000000000 773663556 456338012 345672598 204214555 1000000000000000000 701885841 535156452 255749643 568711730 1000000000000000000 668318506 156533176 298876662 305645577 1000000000000000000 987611195 119110248 423803966 594351114 1000000000000000000 677936095 514533356 650100522 224940342 1000000000000000000 650774708 180289126 258271330 307607145 1000000000000000000 318518418 11800179 119362171 189615702 1000000000000000000 79989742 58382785 20564890 63116975 1000000000000000000 579506928 94409996 458883278 305384396 1000000000000000000 724984944 342306434 264011980 508161345 1000000000000000000 916266608 231808100 502485462 598979198 1000000000000000000 396443215 194993329 204072379 148071475 1000000000000000000 242249600 175741427 226893141 166098106 1000000000000000000 617870613 423070033 519047341 479573904 1000000000000000000 853051136 351890013 695135926 103660199 1000000000000000000 685526278 454642420 610472732 389436146 1000000000000000000 253178392 14327223 14295472 6749848 1000000000000000000 171793167 83977319 152536421 9670097 1000000000000000000 75023119 48993184 33130648 38202810 1000000000000000000 892745427 141113721 690231959 601278246 1000000000000000000 28894797 14930252 23198732 21958422 1000000000000000000 274383213 129478302 75081907 114609947 1000000000000000000 524763874 377660992 233455759 318809429 1000000000000000000 82753397 68007716 37198952 16526958 1000000000000000000 111522848 27341285 3757027 100217188 1000000000000000000 920575078 427861523 598309488 149616120 1000000000000000000 951487608 948273443 564951255 223132945 1000000000000000000 730490556 474242915 617747432 523598924 1000000000000000000 980201835 91610446 931609609 128915868 1000000000000000000 240047166 84975320 165713659 56593176 1000000000000000000 195544044 76415810 124173029 192477314 1000000000000000000 427457266 111421909 246478593 257070322 1000000000000000000 885556115 100885590 283054474 574624333 1000000000000000000 101135177 94898166 85801537 31620452 1000000000000000000 93648297 7359905 76691642 73311174 1000000000000000000 319851629 260519799 133498131 148201961 1000000000000000000 386384199 143208409 55032788 244813992 1000000000000000000 872762413 600939866 455880315 870684472 1000000000000000000 317101071 28764358 298506838 274044870 1000000000000000000 417348573 210662974 203550482 50673018 1000000000000000000 880026082 264263635 510427292 119455699 1000000000000000000 836743439 679762946 260055120 363415239 1000000000000000000 340820842 258001258 96602908 291581472 1000000000000000000 336231687 136622091 335659320 62437747 1000000000000000000 376670139 137599846 231157954 235314286 1000000000000000000 417692541 261728701 124807392 182131455 1000000000000000000 118574182 33485349 15829084 28304593 1000000000000000000 778742155 366487408 159697165 196943501 1000000000000000000 489472392 81584770 216435219 127126738 1000000000000000000 486113045 134233952 381169351 86018110 1000000000000000000 236857721 162225199 56469354 11972388 1000000000000000000 191308736 159860018 94077587 162665629 1000000000000000000 599596887 10709027 360653478 95182175 1000000000000000000 863037994 654718068 823737365 766260740 1000000000000000000 944650711 595743900 281009266 64286260 1000000000000000000 476692299 118132249 337827117 474160329 1000000000000000000 715084975 449031172 286659155 149954577 1000000000000000000 607131733 573086004 342757781 428648332 1000000000000000000 222454973 159253620 116155424 135351687 1000000000000000000 14329601 4642768 5672454 5123907 1000000000000000000 414188422 54069346 268232407 234414416 1000000000000000000 488264094 229648923 448166596 71698050 1000000000000000000 743127549 224196007 334373715 160580595 1000000000000000000 183309264 98246969 46496546 38179947 1000000000000000000 559611936 256446988 350338780 275668866 1000000000000000000 308951258 140447752 24834038 140784146 1000000000000000000 687884173 303176895 444534470 15239885 1000000000000000000 821499201 49565499 804431955 526758732 1000000000000000000 56021918 54660852 22995319 22801908 1000000000000000000 717433246 654222430 187915542 458866200 1000000000000000000 958454816 569672992 463631148 558543455 1000000000000000000 692076265 117048611 503549812 668161366 1000000000000000000 572777932 571679849 219608510 379012197 1000000000000000000 456850689 378675405 209968800 246359384 1000000000000000000 503905102 75386544 319440577 128069411 1000000000000000000 113223517 18277958 39895656 55985535 1000000000000000000 299733655 144259283 22053631 142658222 1000000000000000000 945515137 26656936 44602640 679500089 1000000000000000000 543721813 491256780 208466823 388599627 1000000000000000000 484378990 170705374 369001682 234804636 1000000000000000000 32880977 28885994 31664913 5611851 1000000000000000000 35261608 11603345 20778441 19196602 1000000000000000000 651794567 648549076 312890034 106309813 1000000000000000000 607418952 446406137 364714502 564377059 1000000000000000000 227657817 137155623 186339136 52568707 1000000000000000000 68191788 67360694 42718615 17183981 1000000000000000000 136530242 73027677 12274104 29086547 1000000000000000000 364150387 246918929 204948144 189801916 1000000000000000000 729095399 11308551 468914666 211759896 1000000000000000000 720760196 267660794 353271611 473954394 1000000000000000000 434979275 345947920 357909021 110186508 1000000000000000000 544229014 174981623 511163356 379287339 1000000000000000000 727646305 583800481 87283121 24661951 1000000000000000000 563743789 326852135 234220762 154873687 1000000000000000000 691176621 505210340 680089588 283439339 1000000000000000000 790695611 70810682 335155712 607366770 1000000000000000000 993461313 553436193 296433347 764832141 1000000000000000000 798815786 181535112 337705430 609112633 1000000000000000000 451917942 436256955 384764964 154263563 1000000000000000000 375695059 33141650 303663339 19805250 1000000000000000000 734737688 426578302 116279754 670821532 1000000000000000000 585708106 213709864 12444792 85874066 1000000000000000000 969557940 498731423 558759409 687827296 1000000000000000000 146910051 86519878 117086858 96790611 1000000000000000000 812664108 347689584 444225296 165481474 1000000000000000000 587175622 30536853 485859078 471882006 1000000000000000000 953094135 355099188 328222668 505196911 1000000000000000000 335178400 16818336 161084887 203518212 1000000000000000000 750109495 251823942 221516546 353209258 1000000000000000000 297794999 231682268 16551984 267716858 1000000000000000000 448256251 175165995 429256084 364365966 1000000000000000000 190710726 18963066 70161259 95935484 1000000000000000000 161679594 143446088 18546295 94664687 1000000000000000000 291350669 248293480 29178703 100573714 1000000000000000000 664291050 62091249 505353231 40327010 1000000000000000000 465636976 258796435 55840845 224998589 1000000000000000000 374206097 96820908 184441955 158455192 1000000000000000000 350596724 295034620 12673339 168160875 1000000000000000000 286721822 153968974 246437005 180767006 1000000000000000000 384517051 114821262 152715596 109086372 1000000000000000000 399585055 4360647 110118538 87211992 1000000000000000000 747280162 686661756 26583467 629039202 1000000000000000000 490685000 268671787 215442463 236856638 1000000000000000000 989113127 381125217 763737835 80855120 1000000000000000000 903099861 881346215 456049490 440030724 1000000000000000000 6373387 5583052 1610204 1496005 1000000000000000000 221719988 37899246 144017348 186301814 1000000000000000000 238272520 32400058 132576346 20663155 1000000000000000000 180501244 169516883 144013530 70504877 1000000000000000000 675947088 299216079 312114917 375147654 1000000000000000000 979642790 138408292 570525023 789559950 1000000000000000000 480370235 479949315 441025567 391135136 1000000000000000000 595211588 451873227 283972686 566241166 1000000000000000000 628399387 439407135 495332094 576230197 1000000000000000000 626299908 135836319 55401590 323047805 1000000000000000000 554089227 4375448 426933030 262650207 1000000000000000000 903238792 643625871 297027566 774540350 1000000000000000000 206782267 187063167 121383304 173295274 1000000000000000000 381045250 24668450 83354715 131900503 1000000000000000000 596857898 351937563 429417061 349325249 1000000000000000000 293686162 95510358 75898199 121190552 1000000000000000000 816685025 247699702 302746185 349841415 1000000000000000000 723521210 190586581 353100937 11757090 1000000000000000000 29727629 24502695 27806562 27432583 1000000000000000000 624681219 366387381 323946207 499486433 1000000000000000000 531409490 184203339 201025507 345239306 1000000000000000000 259691937 48411360 228189046 41567088 1000000000000000000 790149824 436047506 210357936 78136620 1000000000000000000 668800506 43463044 60294783 96813980 1000000000000000000 765339723 679703067 400778958 446346649 1000000000000000000 390914056 348607086 161574914 381608961 1000000000000000000 717619495 377314930 517899480 233072008 1000000000000000000 524614448 320742400 45576619 17952998 1000000000000000000 433737985 52329746 408298316 288087084 1000000000000000000 273295117 130407445 160660645 119389941 1000000000000000000 425909277 419957048 205482465 266555317 1000000000000000000 882275839 398648034 506472467 879498401 1000000000000000000 899144634 427814656 893176773 631443190 1000000000000000000 196777594 75500112 185424478 192547380 1000000000000000000 21527949 2930808 2090312 17526891 1000000000000000000 886321926 405214145 6039215 744487134 1000000000000000000 507627648 28720325 324799345 488729903 1000000000000000000 850394578 69017313 776965121 724513339 1000000000000000000 302820012 162015485 154680732 302606986 1000000000000000000 63390189 43060114 31814800 12958629 1000000000000000000 482244552 362768690 275191593 439946839 1000000000000000000 610562402 505882086 541084111 390043563 1000000000000000000 246356034 52239803 216297566 235647670 1000000000000000000 984117295 567744667 931531532 480910723 1000000000000000000 68487050 64320528 28791455 50673784 1000000000000000000 533973716 1421394 38719155 156364940 1000000000000000000 406124949 221578927 351183773 84911841 1000000000000000000 979979028 412024213 865077235 419321833 1000000000000000000 394131106 336297607 38390449 84836413 1000000000000000000 481198225 137081691 327742441 114906662 1000000000000000000 527594634 505326540 300345309 466850065 1000000000000000000 797532065 707234303 246987694 734863373 1000000000000000000 358300913 279241781 316228595 70062529 1000000000000000000 794537566 205933873 157217896 551031571 1000000000000000000 93900563 16630792 50209319 28540155 1000000000000000000 438840947 128810693 79975621 93770629 1000000000000000000 750972422 104510521 486838445 109339582 1000000000000000000 139066690 126251717 118471574 109087501 1000000000000000000 55901873 38397422 15609669 20099277 1000000000000000000 592945248 353567561 426978115 128363852 1000000000000000000 16900857 15076605 4787560 6253233 1000000000000000000 293140037 75335850 231167350 250516644 1000000000000000000 501792889 64224196 64064688 412718304 1000000000000000000 97216231 49665684 18838859 95727441 1000000000000000000 421138255 199239370 386311928 131412470 1000000000000000000 336527789 20358502 62920896 38794757 1000000000000000000 802369340 586332522 269946699 749261207 1000000000000000000 455460813 101595768 154899541 142424100 1000000000000000000 590350556 242758090 123530784 213963233 1000000000000000000 808821035 671328527 254957071 610339627 1000000000000000000 620882195 613710769 277555114 568493318 1000000000000000000 551340115 16148051 406188645 162166326 1000000000000000000 588446922 101741318 144417175 468331086 1000000000000000000 725448767 701381114 704092252 160739160 1000000000000000000 459069931 240203316 1602628 121676054 1000000000000000000 703305878 29475922 127530316 102407845 1000000000000000000 468662602 449932966 170942109 393497006 1000000000000000000 713242765 337418241 122382561 606875766 1000000000000000000 925926810 372045659 279029939 21144956 1000000000000000000 54590411 20944273 20956788 43987199 1000000000000000000 909758380 468538578 703835778 194196931 1000000000000000000 994484923 390525278 710880575 616538515 1000000000000000000 387831894 200365835 325898776 136738459 1000000000000000000 586939611 475868575 531470583 5133686 1000000000000000000 847887683 334432792 561329770 627524265 1000000000000000000 188107798 50490376 110845176 24537918 1000000000000000000 270917581 261638133 257898422 181848526 1000000000000000000 377650903 337399882 126910331 192397342 1000000000000000000 290054252 37230221 98453851 191189604 1000000000000000000 17131962 11851863 5520553 7019844 1000000000000000000 374229094 133807261 341291309 340542135 1000000000000000000 452122739 6652433 421292923 281233143 1000000000000000000 561123734 462885119 190717261 167552664 1000000000000000000 849402696 840776263 411788555 636662231 1000000000000000000 78696443 2042345 52733155 18387287 1000000000000000000 403805157 136987775 236674191 371825359 1000000000000000000 294539585 249315167 143287775 46876689 1000000000000000000 566303638 407668607 312436545 231332297 1000000000000000000 979732084 842373540 191963713 671782273 1000000000000000000 221468006 138679543 103832479 114286335 1000000000000000000 368379635 340356942 55832564 7188020 1000000000000000000 680784527 275207838 4580880 46359934 1000000000000000000 532217178 526116510 139818168 526510401 1000000000000000000 761344729 15979305 656639824 529667090 1000000000000000000 487642975 223915787 173719620 344888944 1000000000000000000 926284877 806259260 373875928 649502718 1000000000000000000 638551655 296012717 480806451 496191526 1000000000000000000 701167640 628735543 52849060 516864119 1000000000000000000 440483712 75610167 78641540 23106544 1000000000000000000 646888745 131724909 280678245 598508579 1000000000000000000 720525370 681013138 306583741 116233375 1000000000000000000 914831947 781581475 654077967 34396605 1000000000000000000 894706327 737843788 359673269 531340688 1000000000000000000 908965097 158899224 600937391 27821392 1000000000000000000 846805817 482570920 184445931 384651385 1000000000000000000 641542672 242112493 167554081 306904575 1000000000000000000 835505018 455908380 134856467 25924028 1000000000000000000 904797890 107794787 50978916 778757681 1000000000000000000 409018017 360262153 262767474 96020781 1000000000000000000 112540563 2792397 74633179 95550124 1000000000000000000 623314522 264306935 469336167 332444169 1000000000000000000 398579208 256251298 271699114 46974099 1000000000000000000 671869765 441195295 39244717 96084223 1000000000000000000 267278216 50775814 69174615 69135173 1000000000000000000 722203763 623674138 77018325 123456932 1000000000000000000 139267286 39305301 115354420 51844985 1000000000000000000 975292413 679670418 146340019 875234038 1000000000000000000 402011680 233907678 142780664 397693352 1000000000000000000 609016740 437107495 602685783 390161070 1000000000000000000 122561632 114566292 48565911 57019931 1000000000000000000 136595170 123907366 64662510 87381564 1000000000000000000 958169267 583694238 51902516 184854741 1000000000000000000 780745748 539311501 321471868 489464575 1000000000000000000 711228985 623252854 484430028 449326981 1000000000000000000 979471439 970628538 924168317 346139399 1000000000000000000 344857199 336925472 122832770 277936728 1000000000000000000 995524187 428936285 860233598 855016860 1000000000000000000 441666612 231177105 70060669 214724642 1000000000000000000 832822492 424664362 50460041 678884738 1000000000000000000 200357122 79569186 159367102 73127824 1000000000000000000 441335907 328959932 394231540 439777059 1000000000000000000 461800260 83868684 80318056 140469531 1000000000000000000 636151683 489872855 444254757 367877802 1000000000000000000 310397934 82461081 197673011 148464028 1000000000000000000 434154778 396796862 302507949 267782223 1000000000000000000 561149495 53779600 47538771 111331153 1000000000000000000 372812397 340611011 183753374 78750686 1000000000000000000 375484890 9926225 31339160 74848798 1000000000000000000 666438282 415047329 575539899 45272757 1000000000000000000 51592485 41439596 18872534 11506788 1000000000000000000 898956479 735351324 688793551 502545993 1000000000000000000 728268299 264170133 52509475 472098966 1000000000000000000 240523032 186711845 52736304 150509827 1000000000000000000 978033755 87045327 539760444 644611726 1000000000000000000 133039268 115248459 95888714 49862499 1000000000000000000 128687698 81001793 13836630 4877210 1000000000000000000 176771806 174986816 7297012 114263573 1000000000000000000 226918373 127568049 199141775 13859543 1000000000000000000 109912231 96928466 63730619 65568965 1000000000000000000 729155082 100936195 493811306 135419639 1000000000000000000 509129196 53276762 378263716 7016540 1000000000000000000 956997711 127542980 704743078 202846839 1000000000000000000 460243316 267897749 380626246 353193832 1000000000000000000 645222455 229242344 255814330 360007573 1000000000000000000 992398349 123497258 209546512 819218989 1000000000000000000 991869413 829394551 49250197 340246939 1000000000000000000 381409754 331545513 369539842 196549226 1000000000000000000 833482034 784113996 489842819 469190841 1000000000000000000 298609003 162825900 156001588 63999288 1000000000000000000 615462134 600359116 44021062 529125417 1000000000000000000 89994932 88479141 71219472 89464105 1000000000000000000 812574346 293062921 485311392 416530836 1000000000000000000 255341475 103503898 47231630 112066149 1000000000000000000 494719578 235363018 213263368 270631229 1000000000000000000 842203576 148897566 130518878 38166032 1000000000000000000 433411922 325932194 272251849 381288999 1000000000000000000 264797905 239287465 74695319 121699971 1000000000000000000 310393367 44727556 76699183 233804866 1000000000000000000 930043633 849833172 843904385 506401105 1000000000000000000 788545536 266334065 321552659 600138830 1000000000000000000 426119184 53782120 212800773 65465900 1000000000000000000 183117642 42756803 50130730 49642106 1000000000000000000 661441234 139767775 217817956 226514373 1000000000000000000 915909006 693843446 259020288 338280592 1000000000000000000 130012401 50965256 56784362 3245039 1000000000000000000 656178822 110371682 236191705 398368201 1000000000000000000 731913115 499194689 520182011 521562030 1000000000000000000 739180512 159976948 512428586 620451150 1000000000000000000 741637906 525340822 472146563 503308705 1000000000000000000 135065518 65800107 126215869 131833401 1000000000000000000 713118358 372051426 545713033 574821562 1000000000000000000 977509653 214127210 211055865 816667205 1000000000000000000 663214917 142052718 502905436 545163402 1000000000000000000 291233634 30823683 45804966 208164003 1000000000000000000 538824289 338703369 237601012 253457519 1000000000000000000 214347835 20293536 20772976 124755375 1000000000000000000 252988532 109843688 120428707 242054189 1000000000000000000 309143552 248326332 59644258 240865262 1000000000000000000 689191565 565710984 465140748 436502553 1000000000000000000 449976494 350518306 380716747 65667415 1000000000000000000 760996874 584656129 702635113 629550013 1000000000000000000 986661758 155856522 701309438 8989691 1000000000000000000 59882013 40249954 17525008 17551993 1000000000000000000 630089433 291382977 302253596 573392379 1000000000000000000 993359457 773865017 568706625 634506528 1000000000000000000 227471537 99892316 76557201 168941773 1000000000000000000 909393509 201823110 495447962 836925797 1000000000000000000 815003364 297500035 540964630 76317580 1000000000000000000 521074528 211038729 258120215 18253398 1000000000000000000 990159473 769238935 401038058 303296349 1000000000000000000 798718343 453545358 183733752 304275763 1000000000000000000 296467050 46233328 203591730 275968835 1000000000000000000 295616815 285740961 71570008 202834711 1000000000000000000 574736657 35680237 434559345 248907850 1000000000000000000 468855009 331373849 126050797 91877648 1000000000000000000 571918090 411680544 70504766 237659050 1000000000000000000 17368993 778790 6816954 15424598 1000000000000000000 889297178 718671581 588525878 196435203 1000000000000000000 701514087 230987843 155958110 47270545 1000000000000000000 533484760 65765848 389657814 173682216 1000000000000000000 295643433 88531171 140839008 25712778 1000000000000000000 831566512 706511111 65907768 50360982 1000000000000000000 952887128 10727696 924613455 518178729 1000000000000000000 975895236 187205280 849703667 208056243 1000000000000000000 597009913 282589443 468342425 410020532 1000000000000000000 85704098 40635876 26554072 41056734 1000000000000000000 324398648 54469221 35709887 31977228 1000000000000000000 779524275 210322043 687412521 137843448 1000000000000000000 485101620 225403733 46271727 298589790 1000000000000000000 628177762 503884631 185585704 388550029 1000000000000000000 933405965 158751543 556378191 455940565 1000000000000000000 338446785 249055268 268918490 235906453 1000000000000000000 21842255 16781717 17738305 11075041 1000000000000000000 582643238 486081225 293509981 297271444 1000000000000000000 115044794 2474041 19341565 50977811 1000000000000000000 253563450 22971976 105754210 8492543 1000000000000000000 305557738 141003400 115710939 137402756 1000000000000000000 605504328 339257454 309804938 359350475 1000000000000000000 317287953 196847426 245580710 7950178 1000000000000000000 307683501 128732955 144409847 96296320 1000000000000000000 362052958 263939278 42900600 97175876 1000000000000000000 378607224 243267590 348837973 205313291 1000000000000000000 449787310 315975531 410957624 3534114 1000000000000000000 623284312 329857292 487291149 435411500 1000000000000000000 948326299 854082051 153208790 641197014 1000000000000000000 281371793 100054931 47099870 106909724 1000000000000000000 558763087 529546013 176692677 288780445 1000000000000000000 230068342 167357220 214138801 171329724 1000000000000000000 656152853 117359163 175115420 463835046 1000000000000000000 478401078 437964127 399832267 198762452 1000000000000000000 225368169 33052983 184117559 124178864 1000000000000000000 240341054 43564797 204734218 176278607 1000000000000000000 562841634 255647221 262937176 328509633 1000000000000000000 164656286 27527001 162255277 104951928 1000000000000000000 706114556 487352319 150925426 281172205 1000000000000000000 447562945 241612384 184906311 103043546 1000000000000000000 323078432 131382422 277023679 188728012 1000000000000000000 390900418 322490060 357747802 152292156 1000000000000000000 349759194 183523727 79213255 220748490 1000000000000000000 545464644 58213441 293269170 230925733 1000000000000000000 700271946 308745252 276500314 530175669 1000000000000000000 1262420 806834 500359 419143 1000000000000000000 193070827 64071997 124770239 43417765 1000000000000000000 919839104 87635221 798798014 624802437 1000000000000000000 681061162 12960139 677635627 108338058 1000000000000000000 704054331 329621800 618561014 207835497 1000000000000000000 428940214 99465059 428531678 75839879 1000000000000000000 631505341 494001718 299622186 8821792 1000000000000000000 836923410 4311395 245991877 383845520 1000000000000000000 719348713 479678176 21388787 356820199 1000000000000000000 909817761 155330943 906782102 774076938 1000000000000000000 749180443 392979713 348188021 650416476 1000000000000000000 676463700 201296403 1299889 501357523 1000000000000000000 372512499 339704847 342477494 69545688 1000000000000000000 108114389 78623440 52363446 107653757 1000000000000000000 770323780 192412260 257208728 655774194 1000000000000000000 930511319 134193300 448063400 674603539 1000000000000000000 963584445 664615991 682822564 901084924 1000000000000000000 458291470 320897397 380818456 160485744 1000000000000000000 694284164 90700358 330950073 636266382 1000000000000000000 671601998 111575739 402671340 561994489 1000000000000000000 305265826 124241996 57257002 137926053 1000000000000000000 626503143 494422387 199674968 74165414 1000000000000000000 597731965 577295092 229322505 401531333 1000000000000000000 661234630 351312985 340639173 256825109 1000000000000000000 867194264 821602315 679679246 124261118 1000000000000000000 257699662 50262819 29847838 233709514 1000000000000000000 762374843 688114503 694483934 691064413 1000000000000000000 318941486 220217649 128853436 181374259 1000000000000000000 779307405 528494192 277348882 170075641 1000000000000000000 433463674 196796675 374764284 303880134 1000000000000000000 862190168 116397875 204600419 112603368 1000000000000000000 422425000 41102096 205203710 135830392 1000000000000000000 778721988 516928583 135721277 716824314 1000000000000000000 368616614 113048894 43850843 330225671 1000000000000000000 462548106 444398583 457119619 379836991 1000000000000000000 885018420 50255313 793075986 606596931 1000000000000000000 647469617 390564229 163690319 131587526 1000000000000000000 915397347 740003201 286887310 872536519 1000000000000000000 349289853 253720699 196843061 279396559 1000000000000000000 439834863 221213558 289368623 264906229 1000000000000000000 634945554 483290264 428844006 534823716 1000000000000000000 301096210 24470064 59288830 115924719 1000000000000000000 339801697 199609755 324687673 310668227 1000000000000000000 791979516 543038644 74523508 662027035 1000000000000000000 578904265 540471246 10761623 649970 1000000000000000000 74197303 61001793 35365227 62048943 1000000000000000000 795136677 150468495 25609487 698469127 1000000000000000000 263137472 62446 213062099 128088400 1000000000000000000 803477922 164414641 209000549 645005161 1000000000000000000 864781414 857120130 840038023 684989637 1000000000000000000 798248635 308310267 75782332 61079366 1000000000000000000 643027637 256330463 599046823 444178140 1000000000000000000 342626519 44696785 18412837 146164668 1000000000000000000 280171353 197594030 156973480 11605212 1000000000000000000 88915589 78419458 4956305 30239134 1000000000000000000 65823167 59739253 57453073 17728527 1000000000000000000 396121298 337657743 135355264 366807865 1000000000000000000 577887655 196778707 351427755 464670325 1000000000000000000 719984503 503931378 498251213 3041884 1000000000000000000 56487712 3895752 48577861 28456789 1000000000000000000 56385443 8927477 1068962 55141366 1000000000000000000 343669864 324721403 92060054 21391873 1000000000000000000 658669324 5413873 304731244 426595468 1000000000000000000 756895898 374496735 243942043 624329059 1000000000000000000 591290898 521546896 9576293 505905595 1000000000000000000 703869872 494243927 19474152 676367789 1000000000000000000 742004629 281563720 6028429 171303175 1000000000000000000 903085501 134559956 721300055 106104370 1000000000000000000 397046444 380019142 57406697 69268437 1000000000000000000 427812741 310002490 34381055 249888197 1000000000000000000 188091265 72501382 84573677 104958512 1000000000000000000 510226690 56271254 468684020 195208393 1000000000000000000 207827243 29763196 122326338 64637387 1000000000000000000 567074940 275367214 231376124 328732151 1000000000000000000 970104344 169283609 275796336 80424960 1000000000000000000 917983705 689043664 338648436 911406116 1000000000000000000 198264463 135991867 136401948 147852140 1000000000000000000 591445436 285664218 120170765 11924544 1000000000000000000 833370468 487526779 673285218 578043421 1000000000000000000 19908115 2265646 15864602 10739889 1000000000000000000 473696570 82564318 357026734 393887088 1000000000000000000 253348149 240389011 31417261 153071516 1000000000000000000 778518656 753795659 366774296 41030570 1000000000000000000 39043069 18481342 15512477 18001236 1000000000000000000 589406944 151735473 354735145 163741677 1000000000000000000 755701295 343806332 16447929 578983257 1000000000000000000 145868237 66789298 11019998 21697313 1000000000000000000 958148279 646232036 647669473 280746247 1000000000000000000 56052493 47849250 44418509 31163817 1000000000000000000 676058961 287405763 131746318 318603583 1000000000000000000 309444068 35686169 166415857 153263583 1000000000000000000 869251151 452752106 381205729 146541128 1000000000000000000 996604052 1215154 89110701 942370552 1000000000000000000 843580549 705158823 367427854 578405210 1000000000000000000 557915941 457079618 200116299 120053020 1000000000000000000 538230360 306402614 167358785 311454606 1000000000000000000 879524414 764869533 681872439 560911616 1000000000000000000 734658877 190518716 226210986 704065301 1000000000000000000 971022572 764720478 464847992 874398587 1000000000000000000 568706800 232083501 526238650 404942807 1000000000000000000 932868980 649675141 163939238 862322943 1000000000000000000 48168331 41396986 16223883 46333064 1000000000000000000 667671001 98549364 129244363 148910100 1000000000000000000 885868339 590461442 885056587 661567074 1000000000000000000 329460014 299242756 239629383 97335765 1000000000000000000 263168078 41534118 33894621 33472856 1000000000000000000 266340014 247643002 180558768 265447585 1000000000000000000 570079605 210486198 247538445 471067908 1000000000000000000 490869778 113494796 434744296 28092 1000000000000000000 826853698 309873962 221851489 784403944 1000000000000000000 178618734 103497651 157042393 35538150 1000000000000000000 508835580 242030557 383243502 306068766 1000000000000000000 541541794 537356385 369781584 79186156 1000000000000000000 444943995 162123013 28486801 208916791 1000000000000000000 708163848 270463013 563458373 212824546 1000000000000000000 711726307 197490151 621612184 567760362 1000000000000000000 33769334 847203 27747752 16432943 1000000000000000000 301530874 132666919 120997833 147244291 1000000000000000000 596300084 345644984 229791466 361832517 1000000000000000000 896075757 495720303 28494364 712457815 1000000000000000000 539519467 326549586 199489038 30761974 1000000000000000000 988923139 6034564 135230600 527107464 1000000000000000000 793301476 89578884 139480984 735313760 1000000000000000000 922888389 624284212 852594527 563374655 1000000000000000000 800654283 438875087 97541441 122489583 1000000000000000000 862817991 234051718 214873476 293757749 1000000000000000000 761891099 648784114 508330393 184026824 1000000000000000000 80662383 55175849 79248872 9236507 1000000000000000000 69420468 12439410 65599040 58802750 1000000000000000000 435979956 217762128 190893894 44123694 1000000000000000000 676206069 67760423 477755507 290783248 1000000000000000000 68529562 52539671 28477200 56250410 1000000000000000000 922604164 68534521 831640319 388020776 1000000000000000000 719865667 250602098 35992269 385322109 1000000000000000000 337097574 127731668 272424876 293667457 1000000000000000000 906887854 829391272 135348422 137099937 1000000000000000000 837197334 585991131 51004278 454415875 1000000000000000000 9939469 7288119 88141 9291839 1000000000000000000 250042607 30571453 125552515 188918181 1000000000000000000 48107110 15328943 28786966 37623017 1000000000000000000 601169810 447457409 181416448 390136992 1000000000000000000 812180801 150470343 590781962 300644957 1000000000000000000 985751851 505287614 676163576 834805023 1000000000000000000 289865295 264736798 19944235 68956986 1000000000000000000 963134696 843114494 590760570 646633791 1000000000000000000 513131745 360112627 493194792 398091279 1000000000000000000 63127658 35683156 46184361 25631130 1000000000000000000 172261262 106667448 97788836 148701659 1000000000000000000 141327617 131198286 52963498 30240848 1000000000000000000 678714940 156679196 493619905 314714702 1000000000000000000 585507315 353114601 410600041 44942991 1000000000000000000 853291741 802295917 701248433 398206662 1000000000000000000 54810551 19401789 3400861 25177462 1000000000000000000 564635449 422418357 69305543 297850730 1000000000000000000 942044029 518762432 231046374 138665706 1000000000000000000 539668718 375305113 440020459 292460183 1000000000000000000 583661962 299416551 490801396 477208291 1000000000000000000 146180260 130783106 127846721 56741195 1000000000000000000 539716384 429572354 354272175 338422262 1000000000000000000 373062207 170440080 288661259 165147400 1000000000000000000 240502115 237123064 97789257 158047464 1000000000000000000 803437355 728246773 595843314 551259071 1000000000000000000 641673108 195463334 134001003 600906235 1000000000000000000 868503388 132015661 787616858 730791682 1000000000000000000 66795999 26597523 15917230 60405616 1000000000000000000 499793598 307848528 145089701 403214742 1000000000000000000 982436635 150797957 787292078 139170012 1000000000000000000 162002182 74693739 114108302 152683571 1000000000000000000 14391918 7040731 11210415 6487641 1000000000000000000 401578072 340382331 18766269 6715459 1000000000000000000 559095113 506847597 320147602 392603786 1000000000000000000 561437507 446059327 364538469 51909129 1000000000000000000 581360558 267750587 22750666 7502608 1000000000000000000 696016941 694237571 142264851 476323293 1000000000000000000 231421403 176639236 65768467 152201768 1000000000000000000 547990928 98284579 271535585 255260932 1000000000000000000 239711776 7841517 8541014 41426368 1000000000000000000 756263810 285847012 114476783 159770044 1000000000000000000 704603244 4661626 191062028 447174622 1000000000000000000 74903621 20146917 21327323 16478142 1000000000000000000 698851716 209902222 162797529 122806303 1000000000000000000 635761804 324981561 219010730 178589606 1000000000000000000 262078690 161711240 125902608 212194958 1000000000000000000 704970626 369706449 67267762 414886283 1000000000000000000 944360897 645827337 721849491 642725215 1000000000000000000 269419554 225814041 28539880 225904753 1000000000000000000 10524900 7674339 829709 538178 1000000000000000000 879933346 610148864 226228754 767854840 1000000000000000000 633204750 416120559 318625162 533501601 1000000000000000000 978000053 431658164 400258286 486757177 1000000000000000000 190723641 44473339 68646859 171820842 1000000000000000000 487299703 446469228 75874687 362695890 1000000000000000000 614030790 355873694 48917628 297960276 1000000000000000000 525573067 153579675 423960752 192991691 1000000000000000000 379644674 195490056 335147505 81447169 1000000000000000000 469239943 214820243 149959648 268428878 1000000000000000000 753571257 196590807 320101313 164162183 1000000000000000000 89441135 43538402 24005114 18798359 1000000000000000000 280389331 245906571 200013309 27709048 1000000000000000000 271697724 270217973 52759051 147395023 1000000000000000000 957561492 784700941 947926777 796675265 1000000000000000000 193194538 173685467 188675715 180937506 1000000000000000000 447729604 261006594 366314034 203419268 1000000000000000000 49104276 4266893 40374108 45618206 1000000000000000000 662778232 413128650 623244001 608146139 1000000000000000000 159798568 117289722 92388726 142366435 1000000000000000000 560309814 307006930 190155891 403621123 1000000000000000000 153778134 118777123 136728935 37215212 1000000000000000000 278953343 2783208 48685105 273899784 1000000000000000000 76546749 42503739 70656553 13353741 1000000000000000000 721035754 88450528 570946458 573725397 1000000000000000000 949834406 303127452 253051635 826176449 1000000000000000000 505923490 300746027 490736570 14983140 1000000000000000000 654863534 501685823 207637963 512983723 1000000000000000000 488877627 460057886 291379435 361342411 1000000000000000000 212696295 98590093 205645047 58169480 1000000000000000000 62115003 6749108 34351940 18561546 1000000000000000000 912862363 732441822 435549325 247963462 1000000000000000000 38879802 3290236 4609151 35878307 1000000000000000000 549654113 49396323 442804119 256216433 1000000000000000000 717656195 677214096 516149651 362161334 1000000000000000000 813276919 215165936 490366869 171041291 1000000000000000000 257027058 13881374 256481652 157508959 1000000000000000000 252276206 145413454 169441143 59508291 1000000000000000000 732875503 512532261 422784631 281562397 1000000000000000000 840947867 36390121 696225566 414677852 1000000000000000000 872427694 512054601 65631536 108662783 1000000000000000000 175816747 125752647 127407662 142803451 1000000000000000000 251885434 173677077 175754617 33284875 1000000000000000000 557554277 130782649 526336856 133195719 1000000000000000000 42932601 21293761 8669671 7779644 1000000000000000000 436967335 77459519 434245325 333777553 1000000000000000000 166323413 138345062 39053402 83669996 1000000000000000000 150474875 81631321 98357710 52191169 1000000000000000000 841101596 391306523 157644942 147339359 1000000000000000000 806687934 237394377 208329151 482303265 1000000000000000000 882784098 814382896 834173705 629138447 1000000000000000000 923645761 655089446 668731480 740538662 1000000000000000000 792669741 448238047 390861612 16353484 1000000000000000000 893560747 94202960 433607477 796235603 1000000000000000000 299211543 278359184 146375237 206079174 1000000000000000000 75813236 73619434 9554606 30323871 1000000000000000000 839889735 312722175 61666351 167832751 1000000000000000000 277060472 149795594 14778509 60649768 1000000000000000000 9248956 7541273 3380411 3733794 1000000000000000000 574533447 228246067 54555939 350732671 1000000000000000000 127812760 81377311 8924982 74044867 1000000000000000000 200083959 131316834 152643876 179492964 1000000000000000000 244115846 179387451 44693059 124563686 1000000000000000000 261290782 218209448 49639063 197864973 1000000000000000000 629758173 611880187 515360330 343682501 1000000000000000000 324792321 102571516 216444649 196339372 1000000000000000000 658496216 579586762 63282596 373463821 1000000000000000000 291053996 270686188 238392068 161120884 1000000000000000000 527770527 292588422 361383503 164752026 1000000000000000000 9284206 6848913 3636767 5607412 1000000000000000000 945478735 357085898 269432343 685974379 1000000000000000000 718010519 203028569 381884148 439623547 1000000000000000000 871629699 323412804 97076605 637602392 1000000000000000000 236448769 131674715 208500279 183532650 1000000000000000000 416555444 302428195 357119258 82565601 1000000000000000000 930070606 869620458 213200925 256666410 1000000000000000000 213071814 68829225 86322462 206474477 1000000000000000000 167916508 135522370 145156248 45747071 1000000000000000000 50934031 4210157 6924926 1316884 1000000000000000000 735387021 718411473 420132310 505147851 1000000000000000000 5074524 1155372 5050723 2927426 1000000000000000000 430039667 261279990 389502341 53781860 1000000000000000000 518403371 402204796 409428791 444490463 1000000000000000000 613640011 172841376 382206273 282667816 1000000000000000000 394913203 338766324 61660428 61900343 1000000000000000000 477935514 269726444 34548798 377570484 1000000000000000000 515216933 269943371 63899627 48722287 1000000000000000000 116045803 41169622 16893148 91897610 1000000000000000000 388996882 268440569 32088311 249738693 1000000000000000000 232644804 177660764 193266713 139328342 1000000000000000000 23837107 5194833 1346805 22693636 1000000000000000000 593853465 557774090 362976850 10581237 1000000000000000000 518921801 407909831 235771435 423621214 1000000000000000000 746026106 318167451 157867366 684503208 1000000000000000000 31161700 1431355 11596376 5487927 1000000000000000000 180690669 86358933 150543161 40157977 1000000000000000000 696255499 415020733 493704788 484219506 1000000000000000000 155546098 116769614 34546845 64252557 1000000000000000000 642902519 390888630 2727572 104172429 1000000000000000000 142893411 85964055 34164223 129012285 1000000000000000000 642439002 132160523 608401526 333377808 1000000000000000000 229762810 175509141 152595185 165311623 1000000000000000000 963088151 792076996 640293096 785056137 1000000000000000000 583703965 494034985 351091068 34285111 1000000000000000000 737615751 161395551 517838425 639998972 1000000000000000000 860112548 31348980 140320830 20796792 1000000000000000000 80700909 17775853 39951774 50710821 1000000000000000000 545610331 482022131 371132940 495275542 1000000000000000000 177432190 139722386 20119002 24861962 1000000000000000000 60994554 11223368 43026567 30449993 1000000000000000000 563420914 145372701 91843760 12120212 1000000000000000000 475048636 319145157 298174981 44180096 1000000000000000000 507567471 163113093 214646189 496370248 1000000000000000000 443868177 135916939 369111242 72866391 1000000000000000000 477064483 301784421 277534023 375422200 1000000000000000000 402085819 324936308 385144309 389901567 1000000000000000000 833400611 591171934 821446 504452600 1000000000000000000 40806746 9851249 26430222 32473273 1000000000000000000 645617862 182506869 184594233 237381909 1000000000000000000 530246906 449248319 301462732 469183259 1000000000000000000 40240987 38765242 14257067 35545337 1000000000000000000 688706526 610674668 456811435 542446743 1000000000000000000 113542443 353006 81559446 23077213 1000000000000000000 760687372 431702582 677936655 68196618 1000000000000000000 7237057 1235155 6057667 4969790 1000000000000000000 678855136 257098609 649089256 102840592 1000000000000000000 162968768 20842199 107008441 95932545 1000000000000000000 42524872 10741880 14612549 19252662 1000000000000000000 700604232 445874712 188282407 377818257 1000000000000000000 945283583 145293291 676664427 467096065 1000000000000000000 67454889 5921742 41401249 37477559 1000000000000000000 386122237 72697558 59146583 323021767 1000000000000000000 446349533 330594288 36866838 98578143 1000000000000000000 680722838 367919452 537386552 34553428 1000000000000000000 146229180 44972668 106925997 54125487 1000000000000000000 174596994 110235660 131528673 104721864 1000000000000000000 949593181 806678879 781487557 517122356 1000000000000000000 97200728 34782088 22033269 73521612 1000000000000000000 897746432 53859486 249643619 176058943 1000000000000000000 852033584 551734862 788754280 666743854 1000000000000000000 928503879 740801786 827503415 590909561 1000000000000000000 394878580 126868143 75211113 342794959 1000000000000000000 685796097 540368303 487589329 404816295 1000000000000000000 965974461 439462530 786927233 389694095 1000000000000000000 745420691 703979725 542714979 402225809 1000000000000000000 981496887 580813908 851668606 568650120 1000000000000000000 431023314 213586270 22611606 400356245 1000000000000000000 781561858 392257401 378201880 715797305 1000000000000000000 708864997 479625592 418014163 337241011 1000000000000000000 562193807 11682750 193035455 167639975 1000000000000000000 622260531 606068506 218264673 273442005 1000000000000000000 472092596 37631638 83682931 141314118 1000000000000000000 831429423 568091422 385036062 546773164 1000000000000000000 273944634 79654552 192511931 107537521 1000000000000000000 560064101 304310273 374007610 226041905 1000000000000000000 875908847 68707248 500079278 673570152 1000000000000000000 802411819 5914974 506013101 283600984 1000000000000000000 947756498 231798393 138057499 885604446 1000000000000000000 5860693 4348761 4910979 3817208 1000000000000000000 985997645 472490013 74277869 362230199 1000000000000000000 433106985 40155130 88656031 156254099 1000000000000000000 771609746 549076596 667834599 243279214 1000000000000000000 616283045 14546112 270596633 587225821 1000000000000000000 927143838 191306973 549842529 662745676 1000000000000000000 658733721 35438471 136648775 544002588 1000000000000000000 5552035 2871148 1375275 974234 1000000000000000000 255182677 74870776 200041 163668109 1000000000000000000 299260667 64595661 160258728 101345038 1000000000000000000 480428752 372093164 39927064 71779899 1000000000000000000 507604508 151751152 477787955 83901163 1000000000000000000 347370981 277833589 131446253 110350009 1000000000000000000 241015337 168236087 185208150 75460158 1000000000000000000 58692590 54224003 49904550 8518543 1000000000000000000 282521833 277863489 213944250 59168572 1000000000000000000 351908223 56447366 336204699 22010572 1000000000000000000 557237544 2392481 380275668 243662863 1000000000000000000 556201687 208917676 134042875 316870520 1000000000000000000 400074044 108915505 342788431 165446785 1000000000000000000 513266502 192872171 162814950 372114376 1000000000000000000 25313379 21813641 5103823 1800233 1000000000000000000 272446121 257813278 52615772 175822704 1000000000000000000 347949646 45318638 310891965 309724321 1000000000000000000 115352499 32089245 97144384 91548688 1000000000000000000 794885040 425174704 320251630 135645156 1000000000000000000 281391250 142938259 15834449 83676345 1000000000000000000 957623221 185999765 103000350 502328106 1000000000000000000 725864270 338610719 463124902 421906330 1000000000000000000 409304226 243971512 257196702 246591351 1000000000000000000 160291581 92345869 90705062 12366618 1000000000000000000 698371196 314302378 656841798 260112328 1000000000000000000 142703163 9766170 56656862 24145783 1000000000000000000 517118642 231341387 440297421 207361617 1000000000000000000 855840825 384551745 848074131 642180081 1000000000000000000 628349324 465701781 270473940 37827267 1000000000000000000 592984185 451580499 118954077 589967646 1000000000000000000 354815173 260106369 288865441 352748394 1000000000000000000 259229627 48184730 90713281 4284489 1000000000000000000 203733596 196984951 111343429 89695936 1000000000000000000 408787326 20254226 359472919 343499918 1000000000000000000 154039747 102353421 97521001 36709618 1000000000000000000 302486028 271946676 268442415 253593713 1000000000000000000 852369594 399540562 364528851 296005623 1000000000000000000 315245740 99459945 152929605 6989789 1000000000000000000 840355329 481135483 101552894 602822887 1000000000000000000 508251904 334117358 268821758 205735 1000000000000000000 987992481 631269095 844902478 28729541 1000000000000000000 857507949 298993157 165672694 828212698 1000000000000000000 901751576 319422834 102798154 236950832 1000000000000000000 545875387 229270384 163765249 261736789 1000000000000000000 140199111 78196238 124959622 68126620 1000000000000000000 49297648 43322809 30883568 40476252 1000000000000000000 312547037 238017143 245556044 300456967 1000000000000000000 812182379 435134354 397940214 221731012 1000000000000000000 352548948 326304631 56274605 291109062 1000000000000000000 695707758 555749470 181397496 175743055 1000000000000000000 576716023 534888502 536984735 358218960 1000000000000000000 137909523 36189537 134231599 47396024 1000000000000000000 309290550 238285459 209949053 124083930 1000000000000000000 534954068 282874380 499369404 118503770 1000000000000000000 744212811 46106128 713271604 716570398 1000000000000000000 671931959 317123493 372156727 12451824 1000000000000000000 40897579 22896601 25935732 21128422 1000000000000000000 60312494 56415835 19931521 22265846 1000000000000000000 458375912 265434279 386277641 69762868 1000000000000000000 208625982 179306029 95076856 140509050 1000000000000000000 642366268 243113432 214107882 413559414 1000000000000000000 256787894 118092071 103645596 32039000 1000000000000000000 326938690 41860177 105620558 120903256 1000000000000000000 613176609 587772814 559319844 34341238 1000000000000000000 303175985 51382790 149657900 14218785 1000000000000000000 240735342 219861405 197904824 183973133 1000000000000000000 688740475 198774930 162867641 679772430 1000000000000000000 628018319 574599904 370798009 294185472 1000000000000000000 788532159 724040637 767144076 241758428 1000000000000000000 489722763 77774893 437577015 182138152 1000000000000000000 914914093 479648212 190490105 665575366 1000000000000000000 389661448 101720717 24720668 206226604 1000000000000000000 687782686 366671840 540228861 587384403 1000000000000000000 40117144 21607975 6509843 8425202 1000000000000000000 404988555 33999960 282541412 70494001 1000000000000000000 936755804 759784991 846070493 474080472 1000000000000000000 584705824 249521179 266989810 103441142 1000000000000000000 411038346 326886750 283914264 267507528 1000000000000000000 765381151 120673067 32103937 91241841 1000000000000000000 750484786 214264753 509303116 646468887 1000000000000000000 233662498 137095299 77445776 73152155 1000000000000000000 635551416 287448069 86311248 607852558 1000000000000000000 564302578 81343606 491396616 525782423 1000000000000000000 81051988 11604892 11213868 13668069 1000000000000000000 455879420 292159681 312337554 156589026 1000000000000000000 135026620 115516934 39110039 72739093 1000000000000000000 952212692 742439807 509665193 46936525 1000000000000000000 425843782 233409510 219040992 285417427 1000000000000000000 401335009 180888537 300295712 294297390 1000000000000000000 950260294 477273459 872752030 486830490 1000000000000000000 588997503 34405819 563370011 275984733 1000000000000000000 994581740 892246693 260745521 263440265 1000000000000000000 755022955 622365582 722918644 637277508 1000000000000000000 546914973 162592889 73310071 468777242 1000000000000000000 335818777 154544025 129177669 43772300 1000000000000000000 936255083 851693312 685386912 677404011 1000000000000000000 987097780 885775226 505816013 739783138 1000000000000000000 292013751 97607170 229427685 180048786 1000000000000000000 131794073 112665085 9948051 113703667 1000000000000000000 885595182 29120485 367610256 786571577 1000000000000000000 54937419 25310136 51464321 36006467 1000000000000000000 108065281 56522157 106028023 70193991 1000000000000000000 18661288 15193091 15970269 7885225 1000000000000000000 632135845 425907049 502598359 105819331 1000000000000000000 572529949 99630297 530814486 176276946 1000000000000000000 882340241 879191717 641298789 358739787 1000000000000000000 246850260 73174022 66952062 215741679 1000000000000000000 899423585 550339350 16989800 666676486 1000000000000000000 440272081 374102359 132462201 304054359 1000000000000000000 715911510 176299504 378443845 169845660 1000000000000000000 995880672 628813732 661184057 617909154 1000000000000000000 160171088 130965229 96829177 123774258 1000000000000000000 408433557 55742379 206790103 178275490 1000000000000000000 650502628 194729484 515558149 530905806 1000000000000000000 295512463 103836830 35344458 164952429 1000000000000000000 664349357 92369318 130581177 601083129 1000000000000000000 27132819 12691363 6465958 25655705 1000000000000000000 699963740 401200871 88913442 107596824 1000000000000000000 55385172 30731840 16806254 49449494 1000000000000000000 177665546 126526485 3676400 67844974 1000000000000000000 640829332 433544127 139706554 223623080 1000000000000000000 908068805 225074617 525536139 160433923 1000000000000000000 553426854 153569224 39965732 44620465 1000000000000000000 506357301 406719290 452601605 196475567 1000000000000000000 888672633 504828444 497910774 198522946 1000000000000000000 629612420 471420020 564787394 35030107 1000000000000000000 725885867 512209940 645478065 69788061 1000000000000000000 355010265 92217593 58265452 254988982 1000000000000000000 787273629 301781130 352522190 587607882 1000000000000000000 991578269 18956823 337886221 222928637 1000000000000000000 828011652 191141719 800046419 118199822 1000000000000000000 231889170 139846121 194048036 213766461 1000000000000000000 56224852 22261412 4772439 38684598 1000000000000000000 12724074 4048164 197279 12486685 1000000000000000000 465264838 417530444 312412998 302986268 1000000000000000000 590885454 177066933 285368348 167752231 1000000000000000000 99084792 26606255 22143304 66864890 1000000000000000000 637159080 621815751 268595118 562407334 1000000000000000000 262322792 129895071 141579892 165804796 1000000000000000000 865317419 694380091 561169333 783664507 1000000000000000000 258336070 200127661 133616034 63848702 1000000000000000000 910938602 449593323 664934245 749139773 1000000000000000000 264054908 251686724 50559825 97375522 1000000000000000000 289629257 221419153 145333681 226476541 1000000000000000000 472037985 34170111 13647855 460720544 1000000000000000000 868573738 187720941 196588821 231905879 1000000000000000000 695248136 173420419 396615921 376497005 1000000000000000000 945927514 592950573 753200577 256540453 1000000000000000000 12684959 11411078 11534545 11696502 1000000000000000000 429835935 304824745 325217188 381340253 1000000000000000000 744724207 175268804 414498473 369960422 1000000000000000000 926721265 42050088 217598319 921834560 1000000000000000000 719507964 633212967 505134464 553164360 1000000000000000000 28982860 23254379 21014937 11500071 1000000000000000000 48619371 42258903 37881446 32811340 1000000000000000000 967983372 345062363 567192206 238319963 1000000000000000000 370101575 60249484 86886144 250945891 1000000000000000000 97348758 68983622 11805913 96742303 1000000000000000000 855941533 213269027 714658967 732175994 1000000000000000000 358115173 219507343 317617040 262652064 1000000000000000000 541246630 454411879 155959010 89768524 1000000000000000000 597531571 593757717 331111029 505457495 1000000000000000000 211830717 209344613 150558296 195502911 1000000000000000000 413004240 162142409 235003685 24685893 1000000000000000000 452762808 437177795 58706901 294742109 1000000000000000000 907652515 779425360 813750851 560425551 1000000000000000000 78568615 22328442 25954113 19258485 1000000000000000000 88313973 25692611 7049431 17540223 1000000000000000000 775393320 461953637 588653309 757589916 1000000000000000000 974031872 421733957 754910425 3465550 1000000000000000000 609559028 459550929 29817930 254955261 1000000000000000000 546060172 352298294 191607058 514814289 1000000000000000000 204900070 3392170 145959667 57482926 1000000000000000000 827313993 343216335 99632543 688286765 1000000000000000000 892170287 837748718 867115219 489031365 1000000000000000000 834211302 355672246 42298305 531964865 1000000000000000000 640452524 167563237 308751367 371220254 1000000000000000000 312434153 241759385 110058017 64105130 1000000000000000000 489759522 333410881 287513880 468321700 1000000000000000000 640555860 545737023 44908413 329831989 1000000000000000000 549489194 263433561 420985804 34750502 1000000000000000000 693821355 428437811 261288857 440318637 1000000000000000000 427283409 389814890 166133565 72719638 1000000000000000000 989920965 910078267 64729792 794634080 1000000000000000000 110792655 81829878 86144065 37445281 1000000000000000000 980280375 661585848 814789420 741210895 1000000000000000000 324154433 126726608 216439065 318209031 1000000000000000000 388773210 368875656 136057930 8138810 1000000000000000000 207872257 90659521 144836205 103975983 1000000000000000000 945240540 855643637 437911629 497372399 1000000000000000000 683143702 2765925 228212021 237720467 1000000000000000000 193059280 191141216 145555858 21968199 1000000000000000000 538427305 416717014 517700311 336853078 1000000000000000000 550912319 414095527 508740474 379389629 1000000000000000000 714723198 414184486 517111703 77756440 1000000000000000000 373736482 168834745 355179225 355443503 1000000000000000000 138777025 129547774 1605502 77468334 1000000000000000000 355761222 67923765 181373100 214732354 1000000000000000000 459738867 59876241 212722869 284544469 1000000000000000000 17329792 7416240 13637804 11925997 1000000000000000000 477336011 473736192 423050081 416529869 1000000000000000000 537826936 508471567 370875168 442504945 1000000000000000000 101796164 86505491 22490604 16418931 1000000000000000000 76377840 6711764 14575451 15057392 1000000000000000000 6719 379 380 3870 1000000000000000000 24109259 4344218 17842967 21102421 1000000000000000000 518520049 18531484 84567314 218634061 1000000000000000000 610265100 603813828 23444770 330126271 1000000000000000000 73242956 61793724 24866569 34247525 1000000000000000000 844835975 523766385 134949321 152638544 1000000000000000000 395642598 87009524 265841849 223916912 1000000000000000000 828927379 665553722 569389865 58990977 1000000000000000000 747898202 2015909 204621942 476140882 1000000000000000000 375500096 359814712 118305730 308385518 1000000000000000000 63930945 28051897 5136523 41549431 1000000000000000000 978187182 414083889 295559554 214419143 1000000000000000000 977021327 548881025 619047546 468764045 1000000000000000000 954125363 587319872 915382450 626996349 1000000000000000000 861992589 70750325 67448267 334324949 1000000000000000000 303603549 273528877 168966490 87883437 1000000000000000000 778029937 710007138 297261536 139138121 1000000000000000000 852642904 166694959 764693 319201980 1000000000000000000 506691621 228901532 294043925 284678480 1000000000000000000 187869316 1006701 166456271 63241695 1000000000000000000 866455244 646455823 396715875 426891134 1000000000000000000 573169142 405165674 180402421 304178536 1000000000000000000 267852818 82665283 142319022 69286035 1000000000000000000 804609096 199850502 31215384 385321844 1000000000000000000 305419712 202793095 216285990 54825376 1000000000000000000 666365301 476781235 287858652 569258041 1000000000000000000 403279009 398314583 106270902 11263453 1000000000000000000 226247896 2010891 53192606 86000990 1000000000000000000 30167576 21486286 1948338 10896340 1000000000000000000 413462451 88634096 68231209 395189381 1000000000000000000 285503571 174687742 116565139 29230359 1000000000000000000 298870112 180125517 97352831 221349119 1000000000000000000 895867529 331394384 371693290 361885782 1000000000000000000 612651335 50128474 466189438 333773934 1000000000000000000 345244560 96023004 89499219 222433417 1000000000000000000 176069863 51578635 69018939 126530336 1000000000000000000 863367357 113643445 455973607 745988320 1000000000000000000 754301251 672658453 546245551 441805906 1000000000000000000 460251669 58197639 65072389 457424985 1000000000000000000 760165318 235021593 229658380 254552037 1000000000000000000 312599449 99432590 70373693 282025753 1000000000000000000 15773151 11846245 9348849 15209821 1000000000000000000 229873282 146740214 171511872 60557533 1000000000000000000 787325583 101002603 682535649 5106412 1000000000000000000 30776484 25293485 12725808 5229864 1000000000000000000 148353811 131001455 29493066 51538505 1000000000000000000 317653832 76132625 275800148 173714764 1000000000000000000 635945020 498272197 473105289 431442462 1000000000000000000 414037254 199114865 187975622 161609881 1000000000000000000 311624417 248457083 280498446 153862016 1000000000000000000 777125248 460139960 549166494 87779449 1000000000000000000 568060053 75483940 537947760 140780297 1000000000000000000 674098189 639583457 475732780 533882635 1000000000000000000 388817457 68561601 220519233 155074249 1000000000000000000 172532881 21124457 72411968 39172102 1000000000000000000 889804720 8251950 836909396 580941770 1000000000000000000 239028878 178386055 170055578 52882772 1000000000000000000 537147969 310869256 95325806 423264102 1000000000000000000 936525206 255259736 139519114 12293881 1000000000000000000 464215504 26437610 464135076 242653426 1000000000000000000 392633531 277423317 72849908 70212068 1000000000000000000 854512659 702054249 841907960 67805151 1000000000000000000 620251997 15550617 35920120 98382581 1000000000000000000 967453060 327129022 789373824 782669118 1000000000000000000 34899278 2252760 13299600 33682674 1000000000000000000 82602702 6794451 4638556 74496565 1000000000000000000 660314796 527471332 466961047 585556737 1000000000000000000 699113920 691243223 630343864 26264514 1000000000000000000 734781433 685101999 554419231 487192737 1000000000000000000 71960740 70636251 21646662 68155026 1000000000000000000 896908931 258669259 745292380 21944320 1000000000000000000 86266750 41514696 39898037 85086461 1000000000000000000 824205733 75920013 118979173 352012932 1000000000000000000 140532597 139926205 94902951 109699267 1000000000000000000 681016298 668914257 126959795 200736086 1000000000000000000 667678087 93578717 409409448 289067805 1000000000000000000 185343543 151945427 109208888 114584109 1000000000000000000 543704855 250938220 540398695 279757795 1000000000000000000 211873543 151911413 197651358 43268613 1000000000000000000 522240316 35276096 343547984 411939635 1000000000000000000 873115993 551629049 755420624 142351634 1000000000000000000 23655725 18454170 17651895 8931930 1000000000000000000 779486476 652191266 392061285 285553694 1000000000000000000 192667880 135720821 162336693 109524814 1000000000000000000 474714059 450019317 410158142 10092458 1000000000000000000 358273688 23390758 135728287 305288814 1000000000000000000 229768481 6066209 44857559 103569481 1000000000000000000 186117946 133834836 145451159 37928842 1000000000000000000 108556243 12275512 45833166 43776950 1000000000000000000 841588460 102265189 57697899 670272679 1000000000000000000 22133735 14266057 800858 17691704 1000000000000000000 232343732 50265500 61620014 133509307 1000000000000000000 338429405 155092319 123803325 286273005 1000000000000000000 710897373 638429124 503816325 561374136 1000000000000000000 335794610 210548862 335254025 227829285 1000000000000000000 272522641 200896802 149456564 223380588 1000000000000000000 542950625 218304781 194286026 436562948 1000000000000000000 825422862 278930905 186096024 764988456 1000000000000000000 850909103 190583747 494195313 11369087 1000000000000000000 678751542 646255067 110738377 421301965 1000000000000000000 874244044 296126142 333339322 201197951 1000000000000000000 176567287 64367221 5895486 163787188 1000000000000000000 466514355 354740797 12822166 425889586 1000000000000000000 549511159 138591379 382444268 351903875 1000000000000000000 813155685 648773923 365454425 649020763 1000000000000000000 896041163 67747312 360966733 171853144 1000000000000000000 750653922 213195395 641761940 568287499 1000000000000000000 343468330 29509467 236170300 333856835 1000000000000000000 60548213 34196798 14718515 54709215 1000000000000000000 24868259 1369818 7470734 3300515 1000000000000000000 395242256 152804332 296098600 52761999 1000000000000000000 606871493 253962687 565626992 346060501 1000000000000000000 616135633 474743177 428664413 505311701 1000000000000000000 567692008 354958415 65346944 140848672 1000000000000000000 121532388 6153008 40683711 41943132 1000000000000000000 343380726 32545619 112422888 9047965 1000000000000000000 727690823 181464990 668022432 611422060 1000000000000000000 218136196 112921331 181206030 36390496 1000000000000000000 417468343 154037861 375043117 81554110 1000000000000000000 785200406 499462599 727038983 725076232 1000000000000000000 67288588 54332135 45465084 59458659 1000000000000000000 665912278 462256769 180861143 200657266 1000000000000000000 621150058 279986211 439043963 438949037 1000000000000000000 739329977 474262739 179184066 176746180 1000000000000000000 65461465 205062 17794102 31842527 1000000000000000000 61716205 39017086 25998545 35385011 1000000000000000000 713657544 574265165 671688131 279647792 1000000000000000000 864528187 124628851 199748368 593328642 1000000000000000000 943614880 492422066 327227611 865838187 1000000000000000000 394087416 35798678 100398544 89867136 1000000000000000000 84872395 58743385 27696559 51101004 1000000000000000000 43676917 781485 36571698 6987030 1000000000000000000 431429221 149560268 49306372 103423949 1000000000000000000 111334599 17469463 96347197 101821200 1000000000000000000 588396418 476183751 152191917 564259839 1000000000000000000 492545173 395828516 347977004 24062592 1000000000000000000 132828915 85368640 30851819 51838460 1000000000000000000 786667816 105269534 434075573 426860090 1000000000000000000 247746794 197015838 19290910 3490970 1000000000000000000 348966574 128075304 189838356 276087235 1000000000000000000 555066972 79881674 247413616 285349669 1000000000000000000 591354483 274414611 4670151 137591294 1000000000000000000 89403266 88214640 64187293 63481958 1000000000000000000 489175611 220674677 297553317 37671588 1000000000000000000 822692103 255077324 504215499 545484308 1000000000000000000 358975373 209150867 39984105 252259154 1000000000000000000 737982612 306676170 15105245 172088370 1000000000000000000 525342735 512816454 78370752 319323370 1000000000000000000 704022277 211973738 144288532 688224080 1000000000000000000 280380615 46023905 227314347 42736578 1000000000000000000 816544333 774124034 77981603 152380626 1000000000000000000 737002933 516065628 415097447 264141231 1000000000000000000 303174748 66502651 291187846 255118183 1000000000000000000 899025793 3877756 254996400 2512798 1000000000000000000 495515523 227122183 283520916 428892994 1000000000000000000 535770138 45110350 135812400 357027368 1000000000000000000 430290283 383166743 121304733 178231677 1000000000000000000 955529489 438154616 483049515 226751757 1000000000000000000 786223226 78764735 158128885 394823373 1000000000000000000 576629224 109032882 340124065 407274459 1000000000000000000 375049447 328650688 284259110 243601589 1000000000000000000 147597017 30936513 54182745 56744896 1000000000000000000 104093454 14140737 63578038 45734737 1000000000000000000 902401823 151405511 412143993 615698516 1000000000000000000 452453046 320560061 416050411 273362425 1000000000000000000 755311721 613313198 42281024 9410610 1000000000000000000 262164254 144613921 193640293 217070004 1000000000000000000 408821566 78122606 357602106 393501659 1000000000000000000 410809022 151360126 40921747 193667226 1000000000000000000 130398129 84898220 101793673 94897036 1000000000000000000 144330840 94392961 90859937 85810521 1000000000000000000 457881233 361688730 435128980 228534585 1000000000000000000 744705728 67424222 356429326 251095997 1000000000000000000 72724124 50369339 37639682 38795223 1000000000000000000 966902493 313933620 369240688 903907689 1000000000000000000 456298292 341704422 35117695 229176158 1000000000000000000 297881165 65675921 104151647 104355223 1000000000000000000 334741419 197194213 216096832 75176478 1000000000000000000 181239272 69716000 115904848 97543136 1000000000000000000 961316894 688636332 30058962 541076418 1000000000000000000 546831774 164284578 217483835 395087036 1000000000000000000 588655553 45121288 315115621 500201835 1000000000000000000 864681150 648065872 846604248 853165582 1000000000000000000 155744260 24537359 142619670 98277038 1000000000000000000 242268313 166109634 183253398 232970086 1000000000000000000 978746553 270681795 290105537 470806207 1000000000000000000 401313302 281892827 69544391 107343481 1000000000000000000 151240199 35428480 89290784 56533557 1000000000000000000 911180487 693092309 139586636 871344280 1000000000000000000 941471170 330758373 400665314 874837738 1000000000000000000 928366986 784989142 371621823 281369555 1000000000000000000 51580313 45016954 35458753 30472937 1000000000000000000 349582879 216430829 198259110 283690723 1000000000000000000 882109584 37238651 630404375 148352320 1000000000000000000 44635727 40914502 33880422 37713138 1000000000000000000 751580353 340884713 722091727 671826306 1000000000000000000 669003585 454742343 210906610 231893222 1000000000000000000 573860710 500608080 27285937 155381207 1000000000000000000 35004770 2335804 12866204 14643648 1000000000000000000 212291058 171366121 79417331 199295499 1000000000000000000 916161379 205524756 697593635 458001299 1000000000000000000 368880347 209833082 178719835 132895900 1000000000000000000 380569316 362519806 336413351 352448101 1000000000000000000 995950294 506309022 876129078 44198128 1000000000000000000 689153857 106191253 402638624 444786172 1000000000000000000 625930557 322712729 73025911 266837726 1000000000000000000 817568930 352523493 490194859 99643927 1000000000000000000 238553421 198255794 197493720 56089538 1000000000000000000 799968596 701432108 741414766 295815026 1000000000000000000 190364820 108972203 67439063 19065309 1000000000000000000 289469426 194892444 98963098 7153848 1000000000000000000 839505350 226195864 278107723 397730664 1000000000000000000 579716281 287691851 86896174 243542483 1000000000000000000 877084991 132368187 637901864 507008813 1000000000000000000 922697433 753176145 537803371 239125987 1000000000000000000 469433351 16084268 448588995 226846570 1000000000000000000 681449838 241485773 573165440 427449376 1000000000000000000 809408064 700090875 366254417 796578420 1000000000000000000 190489745 161343296 172080502 102235137 1000000000000000000 697607583 194272754 424476987 400289351 1000000000000000000 193788001 102670922 95842961 67135746 1000000000000000000 893626956 456980301 699689051 640197611 1000000000000000000 994426638 193740684 378351485 594891574 1000000000000000000 290468047 183244249 273561756 85310675 1000000000000000000 837812119 738952234 554164917 427425536 1000000000000000000 375429932 261121083 199256149 245210778 1000000000000000000 883752969 550625568 657373127 127963556 1000000000000000000 755897443 452097461 494167064 309493782 1000000000000000000 64701999 26544777 41470872 55742966 1000000000000000000 987524417 596205795 584283623 430155844 1000000000000000000 776368469 83402961 50252304 511807055 1000000000000000000 340825668 109945517 23581485 173206457 1000000000000000000 499405 267935 473990 5550 1000000000000000000 757379325 667478548 474477373 534086751 1000000000000000000 764733465 603881148 650502785 188267435 1000000000000000000 237629963 47720446 90283389 91468488 1000000000000000000 39542925 29276568 30558964 6893672 1000000000000000000 689240302 504407101 196332906 91490153 1000000000000000000 448495302 359059618 61291063 105089870 1000000000000000000 134717979 14699647 130643656 1307780 1000000000000000000 671522401 490273093 629467089 484150683 1000000000000000000 162539871 99240148 83715040 145736757 1000000000000000000 403424527 286450728 213614956 197293559 1000000000000000000 696861299 543385193 369929159 119049836 1000000000000000000 961452081 735023618 573406925 436993731 1000000000000000000 316498584 173293216 23394899 22258863 1000000000000000000 399840599 358013135 322237736 117640818 1000000000000000000 814856042 547029386 32608913 138200438 1000000000000000000 438885182 333844320 3546236 431036619 1000000000000000000 471139854 13392041 278610200 432399445 1000000000000000000 515887081 361555700 416197370 100390239 1000000000000000000 984129255 320066670 30456836 337312281 1000000000000000000 368653357 295148682 211756570 174231651 1000000000000000000 559771311 169394838 532448333 195224607 1000000000000000000 788791617 145888010 66771016 783185369 1000000000000000000 639334295 605906897 129421525 165439585 1000000000000000000 991259312 416262334 945509807 148674917 1000000000000000000 445831490 33916600 369597171 9789557 1000000000000000000 895399623 479613774 167675791 88715380 1000000000000000000 569901685 31608498 352943392 153695240 1000000000000000000 796954680 40218711 267315074 738265090 1000000000000000000 100632693 72110554 2597827 31030642 1000000000000000000 746987925 31232192 45845568 345554906 1000000000000000000 947762658 385643059 37849906 385427891 1000000000000000000 656918289 339695897 575033553 196995303 1000000000000000000 245431063 25195955 46570895 86302628 1000000000000000000 580761242 41746708 484572161 160887305 1000000000000000000 595093249 52837643 410791700 256788297 1000000000000000000 389690359 304281407 256300292 375960543 1000000000000000000 286329714 73918545 196785761 160362600 1000000000000000000 586564087 535665706 109383165 143297746 1000000000000000000 559067025 317210909 43850937 177864257 1000000000000000000 15034642 7991572 3218832 7869085 1000000000000000000 111675711 32363118 3686898 42555028 1000000000000000000 384064528 9771151 5989631 251639141 1000000000000000000 174448691 98292315 45587124 111872643 1000000000000000000 736321770 206124535 461600440 377724165 1000000000000000000 477481420 235839101 323493741 9685534 1000000000000000000 936836058 835910290 551301195 133478939 1000000000000000000 564440544 177155088 43954540 115583572 1000000000000000000 685943055 389868849 266545260 1110544 1000000000000000000 413113426 77261886 58976997 175329300 1000000000000000000 258932929 44351397 131667400 180391213 1000000000000000000 660370671 373373532 492311771 220125287 1000000000000000000 28675684 4569885 20591599 3229449 1000000000000000000 49580714 48233911 28342413 14720515 1000000000000000000 439018133 154768026 190587836 330441643 1000000000000000000 115144372 38863483 93316907 64800195 1000000000000000000 534813084 231897030 143736714 312814862 1000000000000000000 114301393 62015974 91641151 65952306 1000000000000000000 591409083 142777410 512786470 323082963 1000000000000000000 119483872 95139970 79412693 21027708 1000000000000000000 786887863 16085112 560905438 749553848 1000000000000000000 345811335 60201892 10240342 341036509 1000000000000000000 981122316 854898476 560762449 617968563 1000000000000000000 415393297 80620115 188166921 109135971 1000000000000000000 689667457 595188436 77347554 61157113 1000000000000000000 320546995 199521142 252197892 139170372 1000000000000000000 395011351 258652239 58817093 263429609 1000000000000000000 585527091 437121073 558765387 162057490 1000000000000000000 334921176 27199104 326542929 92433133 1000000000000000000 735565044 662937875 193991835 118208370 1000000000000000000 390234260 370024442 215551871 229417063 1000000000000000000 646387066 507610835 230938031 444980640 1000000000000000000 673595315 344259064 337114232 432835475 1000000000000000000 595796811 526725336 18652741 31061584 1000000000000000000 885653710 90386055 63564033 337741045 1000000000000000000 58639833 55757782 13879627 24530188 1000000000000000000 783787261 79866004 68424503 623449303 1000000000000000000 326126658 84056224 57716895 125210175 1000000000000000000 734624749 120933089 312337899 701024722 1000000000000000000 643096225 452318235 368203347 210714482 1000000000000000000 42966990 7451536 26465811 39765541 1000000000000000000 910754644 583387126 675198096 106557616 1000000000000000000 969228571 198437822 761319209 795369239 1000000000000000000 626271183 42588394 421807525 206441648 1000000000000000000 347260560 244065651 340793304 75286275 1000000000000000000 838881014 564070221 800167809 734130448 1000000000000000000 137812116 3165971 64539734 133857364 1000000000000000000 503261022 151363910 485653020 85509600 1000000000000000000 788600027 618343230 363251920 326956676 1000000000000000000 756588821 668652897 332581404 486793243 1000000000000000000 660969966 531294853 83128086 24373956 1000000000000000000 861596061 719664584 607684870 121322105 1000000000000000000 695774125 212691733 249302071 388692691 1000000000000000000 483982102 221656940 482133902 265232155 1000000000000000000 314378287 3364167 33202404 68813222 1000000000000000000 275112983 91633465 29664677 222938643 1000000000000000000 188987072 173679848 46644767 122173312 1000000000000000000 279607801 70568430 175941779 118876434 1000000000000000000 876394053 251980271 606376852 381922889 1000000000000000000 338671736 84753807 224809734 51763788 1000000000000000000 261197913 175875240 123145633 250034699 1000000000000000000 181115316 42788619 78398588 176036824 1000000000000000000 937754549 895331353 169743248 229567156 1000000000000000000 232649920 218840966 162396008 58684359 1000000000000000000 798955472 344250767 754007590 347334124 1000000000000000000 341132114 335039 74598040 267532874 1000000000000000000 557501359 57477129 454710902 287729051 1000000000000000000 853425876 41191767 621707253 619581117 1000000000000000000 573849478 497134671 395359855 313114599 1000000000000000000 403904722 156962451 190810199 105210857 1000000000000000000 266823210 89157641 18693249 17251634 1000000000000000000 625687599 393519039 599730943 561007645 1000000000000000000 368405265 130822074 73357066 145326042 1000000000000000000 350514294 174901049 55676650 189234277 1000000000000000000 991321788 104628783 279381060 614838937 1000000000000000000 654781519 396492734 17023610 102579312 1000000000000000000 414484920 2590218 13696380 125493421 1000000000000000000 724202469 253657610 451912633 28257752 1000000000000000000 990980871 631271401 975246552 202171417 1000000000000000000 53347730 3780302 36854388 860289 1000000000000000000 936833156 459643968 798850788 898191491 1000000000000000000 673813476 553673433 375495120 496591395 1000000000000000000 380691505 170123982 81606456 373042951 1000000000000000000 96842996 24298997 10362163 23788127 1000000000000000000 382244773 96950009 151204075 373454972 1000000000000000000 664886440 67771559 483790024 128225312 1000000000000000000 613906143 549667864 454962481 150047456 1000000000000000000 853632225 554584044 83897918 473607996 1000000000000000000 79845024 72501546 78018547 48893053 1000000000000000000 371782360 287702437 304613316 5633933 1000000000000000000 95585826 76905724 43548085 22658262 1000000000000000000 868214543 586840550 599173519 646045825 1000000000000000000 297973637 1082496 38808526 101775092 1000000000000000000 278658898 11347741 114101995 257414879 1000000000000000000 287687174 116255933 159957428 4821489 1000000000000000000 58455413 21052827 31963048 14826787 1000000000000000000 734727105 541586815 85440657 232226096 1000000000000000000 107690803 76128022 11907693 78924438 1000000000000000000 293484092 22677481 227197806 31881051 1000000000000000000 991286886 903335805 465270724 123442311 1000000000000000000 923475407 811457619 667946549 764123522 1000000000000000000 730189327 4067996 259142499 163732028 1000000000000000000 936131295 629115260 859987833 735953389 1000000000000000000 713460825 529417450 321591285 431542984 1000000000000000000 67154968 38103742 47105333 37708136 1000000000000000000 806425927 182705624 413720398 59799199 1000000000000000000 259786171 182759241 49837797 188858086 1000000000000000000 990293111 296509104 567843487 738817919 1000000000000000000 799210800 283804564 5470101 62955419 1000000000000000000 965698692 495221343 405277619 429313406 1000000000000000000 759416027 388012902 342312390 495989496 1000000000000000000 230481051 67006675 96762807 173275889 1000000000000000000 132078602 26761489 37563769 22964662 1000000000000000000 226889805 139539188 135259701 4287283 1000000000000000000 933144347 461796644 357425226 560791933 1000000000000000000 338349890 20549503 109564038 61691750 1000000000000000000 228258015 55257210 166189374 47733688 1000000000000000000 583381199 343299162 389387307 574289663 1000000000000000000 622104147 495449068 234721572 383757436 1000000000000000000 409946226 260732996 153774180 78687930 1000000000000000000 213461535 26505099 20334314 167004668 1000000000000000000 655608795 509941713 542763426 34903414 1000000000000000000 950173525 782404409 550332740 697737885 1000000000000000000 841593794 197212220 414863726 106177573 1000000000000000000 148519489 117019442 72065385 105052074 1000000000000000000 130612398 86586434 78059432 99992545 1000000000000000000 574679811 102733177 143896130 324561558 1000000000000000000 229423780 166670333 42271309 203457693 1000000000000000000 465100802 429038185 451623206 225257080 1000000000000000000 298523033 52303944 196825225 56244825 1000000000000000000 19473781 8445090 6236350 9822781 1000000000000000000 839141218 666548909 534980793 519532162 1000000000000000000 535138349 438973349 530671405 72159033 1000000000000000000 129927653 55913187 59390791 65214426 1000000000000000000 597793664 146248337 189435096 85499999 1000000000000000000 52584505 16082946 44605525 40853872 1000000000000000000 16661497 11109680 5252920 6876351 1000000000000000000 348449919 61754000 234230132 249697153 1000000000000000000 94076406 40772907 85796759 8706538 1000000000000000000 99750431 27586058 44225691 13657703 1000000000000000000 674380179 259689196 161468623 569924710 1000000000000000000 148475062 98951987 42647662 31410357 1000000000000000000 93537093 86136138 11696304 48131839 1000000000000000000 553972886 354121570 98007259 480617965 1000000000000000000 805301680 614228246 250218091 257955096 1000000000000000000 918922218 201184690 720575373 427301968 1000000000000000000 756402211 125424278 196173989 510651985 1000000000000000000 237861940 184818265 67434285 204740802 1000000000000000000 596311340 391586860 381341322 136800338 1000000000000000000 340767037 321172196 124174168 254562040 1000000000000000000 509602871 273084121 370317298 49953383 1000000000000000000 100086640 42602771 74171689 56114112 1000000000000000000 791818668 285528449 266016003 254987385 1000000000000000000 534354713 359428861 8157793 99349196 1000000000000000000 794084592 310323458 190936900 699320471 1000000000000000000 773244639 571365710 89597893 467294842 1000000000000000000 615088180 312866677 391827159 585504065 1000000000000000000 591294709 19107502 224810467 555070903 1000000000000000000 245611175 235888515 82909027 41785299 1000000000000000000 810377623 492015939 349130788 691008566 1000000000000000000 87980241 48047882 459489 38011099 1000000000000000000 875622700 731802044 41584210 869521046 1000000000000000000 315975026 35959999 10037539 186670315 1000000000000000000 336905099 124880060 290621410 45172723 1000000000000000000 1065279 50449 866868 992382 1000000000000000000 966493905 820214864 175464761 27695568 1000000000000000000 90712652 78327893 41988113 59440871 1000000000000000000 341708400 238737353 23844598 320443354 1000000000000000000 976983964 553466614 559132721 172835619 1000000000000000000 734129410 18615316 80785063 167749006 1000000000000000000 868312752 668155900 128390250 155601901 1000000000000000000 802193185 521615875 397832341 551769407 1000000000000000000 184180753 70947313 168824319 183691732 1000000000000000000 375834678 69664789 226120932 373569503 1000000000000000000 871158382 251960230 133957032 867995219 1000000000000000000 992991768 559315577 281148102 560830822 1000000000000000000 628916648 276817167 269880798 2910757 1000000000000000000 119563926 97803415 100321631 9119958 1000000000000000000 92778883 71432177 35821104 13683651 1000000000000000000 249579418 214797121 141855682 219889125 1000000000000000000 239506923 148732253 102472127 144697991 1000000000000000000 349016447 58494653 13232203 165191975 1000000000000000000 556724404 253622213 374958971 375049891 1000000000000000000 893024347 49426520 796397722 382155498 1000000000000000000 491887812 403831151 156292376 122330918 1000000000000000000 160133225 125723357 81215707 75820051 1000000000000000000 656108499 98594358 193008266 247180965 1000000000000000000 338892529 334464999 111108767 110712307 1000000000000000000 386341911 127399482 144171075 312255807 1000000000000000000 256730264 44242932 28109633 247523947 1000000000000000000 708347339 364024502 676448668 186105436 1000000000000000000 254733444 239439288 208669181 184312167 1000000000000000000 51127762 19228275 20326181 16069619 1000000000000000000 342303326 262033611 10192103 18270412 1000000000000000000 307274430 222443306 185381211 296678886 1000000000000000000 829522185 498456090 781851831 240707506 1000000000000000000 767988619 416544938 579556269 639740679 1000000000000000000 528181220 417263263 234305822 130538522 1000000000000000000 790432627 727420612 590452615 667763307 1000000000000000000 159633611 81402759 92220944 3442438 1000000000000000000 20186723 15815281 4279909 2756184 1000000000000000000 343819213 2255763 92390937 267076195 1000000000000000000 425593798 194445383 174146390 165447402 1000000000000000000 637624119 372695538 56603316 443312078 1000000000000000000 330649853 308231947 37384811 153340032 1000000000000000000 624769396 159287629 395645849 16643081 1000000000000000000 425983202 399872403 317021321 19824237 1000000000000000000 722989916 157980447 135134306 34531284 1000000000000000000 534410817 121467354 245787304 44197273 1000000000000000000 238936750 234472705 10266049 203858244 1000000000000000000 951877964 255272702 929514764 626220371 1000000000000000000 966322578 742821174 350746957 900509889 1000000000000000000 512421689 191809559 405671637 482698470 1000000000000000000 426545735 162200246 235500758 272940433 1000000000000000000 587121245 137955685 110610187 173815598 1000000000000000000 750538660 463808527 630576408 690284332 1000000000000000000 608548636 82280285 484025164 497542148 1000000000000000000 29786928 17123027 19547359 27917218 1000000000000000000 335668731 127963474 330228186 72059162 1000000000000000000 885637947 440657136 481321168 797510218 1000000000000000000 876809300 814416214 538699977 112724826 1000000000000000000 294976578 116406152 138421504 181805592 1000000000000000000 682985414 173752720 480559376 436279373 1000000000000000000 601994960 533709079 281631664 590121667 1000000000000000000 423558172 363770562 391763332 249955717 1000000000000000000 591149710 372605267 45208611 187039961 1000000000000000000 993358133 685099699 3651063 788665281 1000000000000000000 4737811 761175 1025967 3624744 1000000000000000000 107623367 81581188 58051379 83695139 1000000000000000000 190446750 2013898 93832924 117073085 1000000000000000000 405697300 70873335 44243495 69023928 1000000000000000000 836837725 756513862 18759796 762660692 1000000000000000000 925326000 738287334 534245221 888512302 1000000000000000000 282407149 170541748 67287380 272340912 1000000000000000000 704881310 334240900 189918989 85602477 1000000000000000000 782911775 50984141 417705480 460690972 1000000000000000000 792103227 378588496 85997133 106162419 1000000000000000000 552713880 255276015 30617108 211080077 1000000000000000000 848520524 602689145 450621249 775912684 1000000000000000000 84505627 2370336 14734450 25312038 1000000000000000000 399753135 314310956 195893790 27513033 1000000000000000000 926826463 60400521 135501367 626211405 1000000000000000000 69395271 64266073 30762245 61179160 1000000000000000000 976612703 480925214 360732526 211470096 1000000000000000000 888843440 393737243 62243351 581263203 1000000000000000000 448673350 411040872 78231349 347903776 1000000000000000000 299693848 258744094 77207153 103105139 1000000000000000000 392773751 113036315 221925876 135350383 1000000000000000000 547049707 146820859 231731231 498516658 1000000000000000000 490725269 234666340 307762489 404692752 1000000000000000000 70905231 34097410 8270045 31276802 1000000000000000000 705052234 417073191 662303020 570433374 1000000000000000000 526100046 73350692 294448445 383095964 1000000000000000000 910764009 398502491 485966029 667325994 1000000000000000000 338823124 296003315 274642346 286760046 1000000000000000000 26490096 4714886 792506 24844200 1000000000000000000 268653906 264753717 99975083 258631084 1000000000000000000 995542540 859066076 718676661 886400895 1000000000000000000 595206122 269322558 147567434 126897274 1000000000000000000 636783941 362337887 494312355 459815119 1000000000000000000 716798433 210164560 265598181 621973679 1000000000000000000 741879832 579630057 687215531 581865112 1000000000000000000 338188120 116267627 60620724 250753640 1000000000000000000 564623546 247039232 43537578 181434642 1000000000000000000 41480325 17321758 4776757 29740330 1000000000000000000 359987926 75865392 2462183 177050854 1000000000000000000 500607292 210225886 248915764 247313682 1000000000000000000 688872084 223716011 347372686 662159001 1000000000000000000 592919511 359098989 373361517 511465372 1000000000000000000 528546462 233756825 274570951 115373838 1000000000000000000 294429043 175926489 198997123 255999794 1000000000000000000 600787386 149219499 221168781 418942210 1000000000000000000 283837754 163397146 256308785 93660907 1000000000000000000 12159050 11442265 1038424 5956694 1000000000000000000 358381837 220762639 124855488 190573193 1000000000000000000 989966941 516355529 32925088 299521816 1000000000000000000 660854180 60923122 123955932 317262362 1000000000000000000 950931244 308091977 204745221 400003944 1000000000000000000 567805285 312974246 379311020 17001518 1000000000000000000 864599764 466541564 763358287 562888816 1000000000000000000 271726151 13992995 107721974 224337676 1000000000000000000 506480988 441484250 184790929 198408428 1000000000000000000 534427044 386655535 321054518 517195855 1000000000000000000 152523043 113931995 34828095 54231350 1000000000000000000 950953271 890959658 33369735 98032917 1000000000000000000 470790596 210275356 32083796 394806452 1000000000000000000 374208674 163516611 319040816 343339901 1000000000000000000 952469080 837929289 261050825 633117001 1000000000000000000 860984467 223603288 395160299 280996583 1000000000000000000 216412438 167043108 156837061 14938603 1000000000000000000 16251967 7417513 303272 855181 1000000000000000000 18316059 14806243 12960859 2791268 1000000000000000000 21553337 5893616 20429953 4453311 1000000000000000000 136381673 34460892 105285289 32348572 1000000000000000000 10194461 19955 33300 7392540 1000000000000000000 322920606 136940348 101344924 195133454 1000000000000000000 715440030 601268931 266547859 552869819 1000000000000000000 913695948 900531866 898788066 196766457 1000000000000000000 136705816 57370761 66564304 35841265 1000000000000000000 171792970 28890480 31315962 145565466 1000000000000000000 674148697 3113218 183408186 251735084 1000000000000000000 679736136 81070031 421746175 645304128 1000000000000000000 49288273 23896706 26155728 37023410 1000000000000000000 346661664 100938974 161499504 226101265 1000000000000000000 565155619 486439045 389285081 273478271 1000000000000000000 14787448 13762881 14620276 8033203 1000000000000000000 872293669 458977593 707392396 556373336 1000000000000000000 987244640 132105556 137538536 700499993 1000000000000000000 317894639 310549907 47773983 126456282 1000000000000000000 797147321 180091867 187863618 197327895 1000000000000000000 292114929 111511757 237190857 201325845 1000000000000000000 396941229 196417758 285912495 152125030 1000000000000000000 948806598 696760373 436341438 109612368 1000000000000000000 771808213 405888059 526515930 563323244 1000000000000000000 898083413 592258577 275048325 630768046 1000000000000000000 20369501 10808366 12929000 7881667 1000000000000000000 613319980 290938919 298255032 603797094 1000000000000000000 944788328 880212788 37855438 417501201 1000000000000000000 641723584 45131547 583125165 381806217 1000000000000000000 468417214 363898401 117308791 325346416 1000000000000000000 903125874 515753130 665050939 635250935 1000000000000000000 557730994 242729901 149447550 155334461 1000000000000000000 523842038 363643040 252664110 302666774 1000000000000000000 99084747 10420093 6271529 7178443 1000000000000000000 476352862 176293626 153684910 242613754 1000000000000000000 391444003 80292803 76241795 355604811 1000000000000000000 693239145 354893124 225029989 558350774 1000000000000000000 132352850 86165143 12418935 51115908 1000000000000000000 393428615 390347834 247389232 119686645 1000000000000000000 142168214 135455076 138336366 91762768 1000000000000000000 792581194 284015756 263360897 455829345 1000000000000000000 962171341 576879252 230854139 704716443 1000000000000000000 123708334 53252351 123369559 121829323 1000000000000000000 417506054 73470859 298597552 258824760 1000000000000000000 481451566 44010520 310823325 49039692 1000000000000000000 78075119 64162361 54454807 54659018 1000000000000000000 978744711 249725693 687410590 744788049 1000000000000000000 592507198 315144684 150634078 84546435 1000000000000000000 800744388 241170927 421717845 797094150 1000000000000000000 402218558 140822076 229306565 98412784 1000000000000000000 872732446 40961687 12432394 81648978 1000000000000000000 46723226 31455063 15228068 40510210 1000000000000000000 999007778 840275430 913243040 273749906 1000000000000000000 979087534 530720808 899837118 146574682 1000000000000000000 602820899 542582518 546337231 252419786 1000000000000000000 560634119 166851143 195887368 433420990 1000000000000000000 748866554 63273855 422279636 592576694 1000000000000000000 828562142 402155044 827090920 528209424 1000000000000000000 585919492 172839356 346201675 565082590 1000000000000000000 230013314 219201160 82672729 159693851 1000000000000000000 112934457 42384478 922801 76929343 1000000000000000000 153135044 133140532 44389874 16676319 1000000000000000000 502087171 426228615 158129107 417400457 1000000000000000000 136183233 86296119 34178676 98572650 1000000000000000000 413070591 172761201 73672339 118658736 1000000000000000000 661557535 290528941 562716770 13596977 1000000000000000000 757333020 537629570 699434892 162705423 1000000000000000000 551198829 73156018 493805862 10880116 1000000000000000000 564354821 448222186 347631430 29833267 1000000000000000000 700449612 685445679 615233451 214038638 1000000000000000000 169839727 98089212 23369983 162145261 1000000000000000000 181146815 89645679 65598563 137233916 1000000000000000000 743500914 547107343 247287388 696649742 1000000000000000000 925779901 491019016 445981326 199136230 1000000000000000000 904989720 599738687 853487642 851730267 1000000000000000000 597376593 504813804 426705907 588583376 1000000000000000000 264814932 254979471 58286997 175615345 1000000000000000000 844535333 69578375 113647939 465047619 1000000000000000000 403617971 166846669 264891830 209036954 1000000000000000000 250336507 216538123 14046245 154117694 1000000000000000000 100637430 66704989 62917285 91273976 1000000000000000000 37477636 31376223 34171930 29752664 1000000000000000000 572444208 352703024 75739877 44660887 1000000000000000000 575569810 539992686 564573148 378167993 1000000000000000000 717001634 250908163 309434180 528080563 1000000000000000000 358692936 177333014 137100028 275083156 1000000000000000000 147600994 76469531 107563850 40623586 1000000000000000000 919304878 269804010 139752593 145578608 1000000000000000000 233532618 88777362 203628948 142899691 1000000000000000000 828970274 77397246 726619100 722775156 1000000000000000000 749732765 32364890 218520116 137294136 1000000000000000000 711657513 343973099 23384721 450107321 1000000000000000000 835493353 389235103 757680232 124493266 1000000000000000000 479854382 310919281 188539980 109588300 1000000000000000000 782818517 504536096 299994715 63222895 1000000000000000000 65284177 46511751 31732241 17306247 1000000000000000000 384142289 132128897 60596025 152370703 1000000000000000000 518412213 252991461 79932526 223414994 1000000000000000000 805200663 461558440 124909523 674189246 1000000000000000000 133434084 73661477 76091912 58187786 1000000000000000000 18675376 3971030 18146847 518433 1000000000000000000 679662667 27181468 357080878 106308549 1000000000000000000 136778823 132964752 56904911 100043408 1000000000000000000 461515330 224967453 34748782 227017269 1000000000000000000 655562943 39407467 328440368 114144539 1000000000000000000 625780893 128592833 383170076 413857339 1000000000000000000 290496796 72890694 234906922 38498290 1000000000000000000 571194375 127645160 311671221 521439970 1000000000000000000 884654410 156166243 842860093 221833973 1000000000000000000 864883331 7185153 813106419 188944800 1000000000000000000 370302676 141689081 238041887 127215073 1000000000000000000 359842373 14407110 139026144 336143854 1000000000000000000 123050899 118381438 22494603 100804892 1000000000000000000 51050244 40087103 44976329 29266769 1000000000000000000 408500237 109063683 9181126 399842952 1000000000000000000 587893879 387664174 524736665 58058968 1000000000000000000 17944706 13204444 9101217 9561495 1000000000000000000 293844234 159874185 60321341 274667792 1000000000000000000 663624096 167164521 366854152 269870065 1000000000000000000 215322655 55858747 49330419 120778932 1000000000000000000 577815815 439390122 9908863 117907369 1000000000000000000 374229766 364769555 72316696 321309131 1000000000000000000 162870180 162541148 96458908 13477626 1000000000000000000 835159219 513648475 212109832 596999754 1000000000000000000 403726934 46716159 356404177 105682565 1000000000000000000 863385295 394551449 442804657 581273315 1000000000000000000 647818252 512199503 346552690 290901873 1000000000000000000 470457608 339944224 438551727 161420800 1000000000000000000 32287465 1351936 20663503 18254402 1000000000000000000 881404619 168610548 564361768 343268661 1000000000000000000 901679329 337676068 330164987 825883277 1000000000000000000 682577973 643995756 206203386 71821565 1000000000000000000 476189983 57722871 88052689 402726023 1000000000000000000 390023047 361256820 47189814 307143967 1000000000000000000 937047530 420120573 152032706 503863328 1000000000000000000 470607897 340603374 385729050 40290524 1000000000000000000 405826521 166988848 180971447 54784548 1000000000000000000 797562599 452058187 542469589 552969495 1000000000000000000 229011918 104553956 13665443 200171572 1000000000000000000 236824594 231445701 43388296 55496017 1000000000000000000 776297662 475248221 352234159 534411152 1000000000000000000 499472722 35978248 85887874 96747291 1000000000000000000 217136149 165104071 126072327 4586925 1000000000000000000 591077469 373049057 164726890 285201343 1000000000000000000 23302962 16310347 15081918 16839710 1000000000000000000 559715534 471056493 294785686 56649099 1000000000000000000 758728168 276991203 124988420 89997257 1000000000000000000 561623834 47583510 108972706 490518274 1000000000000000000 17015612 3333250 8821846 9100193 1000000000000000000 591713027 224604661 470219223 553450037 1000000000000000000 46769017 25135120 6781441 42859523 1000000000000000000 137345602 28618507 39883836 100528356 1000000000000000000 764707616 668463852 150003088 522418759 1000000000000000000 880792800 805961264 865539270 582102089 1000000000000000000 945473442 69510335 802610097 858981404 1000000000000000000 811235762 502170686 165836605 205249076 1000000000000000000 765390502 75898985 59675449 600796266 1000000000000000000 576018876 297935358 564727553 48812146 1000000000000000000 54476074 37734106 29015536 44024487 1000000000000000000 920972951 15473354 70512949 868560196 1000000000000000000 449371462 290332787 54313932 206775027 1000000000000000000 992500853 319408551 798692855 429666858 1000000000000000000 979555307 808916611 766955628 895617571 1000000000000000000 101616531 2644651 64968174 63225904 1000000000000000000 280021758 47543389 100570135 275858422 1000000000000000000 879664778 371562378 588200141 264561556 1000000000000000000 742272164 471977037 145911492 330744143 1000000000000000000 359767929 20794264 244412980 228706219 1000000000000000000 178084138 12032104 4509485 133770929 1000000000000000000 348739343 327819171 33619463 146460765 1000000000000000000 798560884 153020035 623515288 716617754 1000000000000000000 867411210 744884295 394135347 432664403 1000000000000000000 776386977 27396880 325828760 480990269 1000000000000000000 545136995 28486471 349815503 303521046 1000000000000000000 602052508 407910463 391293782 188971434 1000000000000000000 632691606 352997240 516959165 589705496 1000000000000000000 290362716 160178795 19663811 105204986 1000000000000000000 994494479 802406066 41604377 731073976 1000000000000000000 257136090 14227142 22333232 245573384 1000000000000000000 556753718 76712689 549928783 493658175 1000000000000000000 607166943 232539940 412372791 401834274 1000000000000000000 232148544 112029917 81373636 230420276 1000000000000000000 691477386 379805912 65772951 207783328 1000000000000000000 953204918 151351331 659794903 11749677 1000000000000000000 151144848 119084193 128265510 125852548 1000000000000000000 123895182 80384509 63927248 99533172 1000000000000000000 906600432 212836337 739232129 78501138 1000000000000000000 283965962 57805206 91592438 71838342 1000000000000000000 709881260 93446201 332279193 683677969 1000000000000000000 417311704 193823601 49671044 145447611 1000000000000000000 364614706 111346895 239464969 247217572 1000000000000000000 900534410 458434515 846961713 210510296 1000000000000000000 97121802 83333469 16147832 84278587 1000000000000000000 926383958 704935024 197131694 596666332 1000000000000000000 511826901 351106275 270523023 82430605 1000000000000000000 652093612 414272856 165032574 70161854 1000000000000000000 858672839 796603641 351011261 511374499 1000000000000000000 473561879 258523312 439309129 213926887 1000000000000000000 509218769 4063629 137986174 376925981 1000000000000000000 709904552 483394319 93354778 31752556 1000000000000000000 746154087 314106955 13777012 104362454 1000000000000000000 257430140 46975799 61844615 171217928 1000000000000000000 427479743 222907079 195906153 209421307 1000000000000000000 813229634 57939029 400412530 37992468 1000000000000000000 671616266 429990284 545257124 554111177 1000000000000000000 926845471 711093921 440665682 230396276 1000000000000000000 285763219 235102814 77289001 221452112 1000000000000000000 495393761 150344757 104047790 317598634 1000000000000000000 867897658 570526853 234135513 604882493 1000000000000000000 745158835 73844911 551915558 460325798 1000000000000000000 2237264 276534 2065236 1797131 1000000000000000000 39721387 11719773 3434008 5884887 1000000000000000000 851566546 164572598 541117838 364335316 1000000000000000000 791119790 276301868 653982450 641046826 1000000000000000000 983214271 6143919 3905024 119692981 1000000000000000000 523281602 83694158 370547060 399569099 1000000000000000000 142041532 97752803 134677139 1849888 1000000000000000000 311456820 25684225 231274026 198316018 1000000000000000000 700520907 17812633 268444697 692527358 1000000000000000000 777805768 543858920 477705465 448907032 1000000000000000000 24534016 1571596 23453449 5175865 1000000000000000000 224170583 101634198 109290178 58126028 1000000000000000000 36145845 4445961 24544215 27111854 1000000000000000000 692182868 374087816 385345951 117093433 1000000000000000000 523835612 261195385 355834561 126131023 1000000000000000000 787947234 478965192 550803555 194888630 1000000000000000000 193163639 160476911 81679556 19100985 1000000000000000000 405373903 391916942 182616432 144317940 1000000000000000000 720075015 120538425 511473826 639267460 1000000000000000000 279365720 31959084 106753508 244236987 1000000000000000000 18445375 6822898 8951936 1595180 1000000000000000000 277722916 120244863 97712379 45988530 1000000000000000000 522505459 359605177 221421238 454612862 1000000000000000000 263914648 9453029 110163117 258761545 1000000000000000000 257333208 195169375 115286369 128425014 1000000000000000000 919179504 871154717 426797065 742579826 1000000000000000000 530648606 157221604 28707802 335405946 1000000000000000000 535458221 240469449 239463332 351309294 1000000000000000000 643543840 206116665 398384584 633114919 1000000000000000000 599229319 473202849 302778279 139041143 1000000000000000000 33226218 22162000 31111441 14542003 1000000000000000000 45133037 32484419 37753765 16803158 1000000000000000000 487396999 390050857 179302051 83890149 1000000000000000000 612014692 360809745 318611935 89045730 1000000000000000000 905449668 367818478 744796159 682068660 1000000000000000000 819780087 819635298 198400435 2161215 1000000000000000000 786681429 690685201 136546112 80871622 1000000000000000000 798916441 148586611 501698753 699253156 1000000000000000000 69241403 40324373 41586530 51787843 1000000000000000000 756411551 207824753 652485126 31765192 1000000000000000000 199831662 5695484 103845725 38763290 1000000000000000000 840507226 638555258 399436250 531524929 1000000000000000000 693816512 345473824 103757769 291193292 1000000000000000000 222096218 53667135 70477269 56377419 1000000000000000000 660020398 326409337 658864183 163300397 1000000000000000000 276574541 15036405 212903209 161754810 1000000000000000000 661048951 176414871 368224091 315516185 1000000000000000000 708046880 90782474 512241992 16729093 1000000000000000000 549166998 447154722 168268367 192526838 1000000000000000000 967001752 294700750 84701543 382395468 1000000000000000000 240719653 9639985 53293082 33781373 1000000000000000000 234552015 124922851 57777089 119777288 1000000000000000000 421336980 148001025 285901242 355735358 1000000000000000000 171346028 136360714 165454003 14506023 1000000000000000000 978520271 314669031 303180668 344552815 1000000000000000000 100829361 26119782 92118858 2042640 1000000000000000000 365683477 139231664 19173486 308865960 1000000000000000000 144242157 90688948 53231142 34670406 1000000000000000000 491544158 354987747 450247576 174203917 1000000000000000000 90756478 36123403 484430 28738877 1000000000000000000 719808383 117991117 598599258 201718897 1000000000000000000 373711415 274919889 1062001 337451042 1000000000000000000 457841484 333779208 143320176 432100257 1000000000000000000 852148741 490606566 644372258 739509782 1000000000000000000 766257748 49219384 561331779 256866322 1000000000000000000 674006582 270936244 385700407 411193331 1000000000000000000 664875284 366207013 394153690 33569651 1000000000000000000 977189278 185469604 804125603 975815710 1000000000000000000 608062388 531963730 205274993 225136761 1000000000000000000 872737014 415444587 663293681 801364441 1000000000000000000 288991898 47459243 19638586 150194166 1000000000000000000 384246521 61315429 153283296 377610669 1000000000000000000 592930505 379401621 9915135 352661990 1000000000000000000 56495219 1172805 56489935 47999114 1000000000000000000 561462508 306001328 375848392 247118923 1000000000000000000 337774626 13151789 279116589 285652380 1000000000000000000 309770156 7508486 199939012 244767858 1000000000000000000 921915577 151594532 42662213 472141010 1000000000000000000 177325824 40243737 149096205 102729898 1000000000000000000 220864509 181402592 74621952 171689551 1000000000000000000 212011581 20131977 26870261 185120093 1000000000000000000 986785900 401797359 811359617 770768523 1000000000000000000 858903648 365755958 285439448 638581055 1000000000000000000 492912730 315431479 364515795 262114599 1000000000000000000 714942052 350567860 185995716 54055777 1000000000000000000 987284334 264534118 172212928 160133784 1000000000000000000 718393965 198546609 389420990 498314926 1000000000000000000 378069515 51856375 86626065 304468736 1000000000000000000 861862206 72776212 730645020 648409896 1000000000000000000 647055850 464222027 503249502 181163569 1000000000000000000 601217095 450200824 151929540 26767453 1000000000000000000 421331177 349699613 13921618 344987108 1000000000000000000 976041638 584893989 843342980 882510280 1000000000000000000 657689594 521726434 160025724 220682371 1000000000000000000 654426858 269084418 425245386 479172185 1000000000000000000 889442435 400776391 68275272 579900687 1000000000000000000 462935851 426802397 333200518 328031652 1000000000000000000 876218104 617646087 838700836 633501475 1000000000000000000 233067866 116889500 36088950 143114927 1000000000000000000 915215634 869470664 175263472 282977828 1000000000000000000 584825713 37098319 174026959 63955146 1000000000000000000 121576644 75481805 67266428 57955368 1000000000000000000 324863106 52238036 37535401 58473243 1000000000000000000 82543845 76300269 23099856 55872115 1000000000000000000 347066020 65633815 270641244 178173707 1000000000000000000 877195013 568195697 774661165 58155969 1000000000000000000 922108388 456463095 54391228 687752747 1000000000000000000 890733086 856848808 861787382 193985685 1000000000000000000 486933423 84877560 265339901 472481166 1000000000000000000 732699052 598943991 486940030 550766097 1000000000000000000 243814627 39415377 242216882 37184838 1000000000000000000 910118121 696483656 700730247 570620435 1000000000000000000 801099648 382440709 572443061 404171952 1000000000000000000 750436097 653006679 347568196 643040422 1000000000000000000 14205696 7710494 2991269 11784376 1000000000000000000 268260370 96059235 245702981 54402737 1000000000000000000 208314297 96142382 121922802 142526936 1000000000000000000 42333932 21747833 24265573 39495125 1000000000000000000 418611668 173789120 83585117 48134293 1000000000000000000 389543133 212870892 257384830 102744967 1000000000000000000 103789956 59091715 25960175 102412752 1000000000000000000 958357600 956976767 713737299 764112945 1000000000000000000 464191928 269261645 239199880 287019984 1000000000000000000 82973078 12244895 12665307 10714681 1000000000000000000 468966361 278884052 461218564 297803938 1000000000000000000 492727103 310847225 121564694 308528941 1000000000000000000 866005318 493377486 647934808 493673871 1000000000000000000 917149240 586360197 607827258 26963259 1000000000000000000 2217727 198537 634393 77699 1000000000000000000 533631167 425035257 461251350 226348192 1000000000000000000 412878006 243613604 104970633 46795271 1000000000000000000 670977139 282368022 340214669 224756691 1000000000000000000 103480461 90075133 69938417 9701652 1000000000000000000 284622254 142178968 12268945 24233257 1000000000000000000 291189926 243431495 250276311 150978490 1000000000000000000 609455999 121997296 398279029 1993078 1000000000000000000 419207630 408852683 198118255 248792781 1000000000000000000 929376309 41663462 309365524 500472611 1000000000000000000 265821463 19233364 28219512 145961126 1000000000000000000 565519287 471501321 521879175 54203338 1000000000000000000 826087718 301562253 172606746 369926027 1000000000000000000 64017728 45695342 12952638 47652649 1000000000000000000 588822503 274273475 3332309 83888618 1000000000000000000 71195187 58633733 39264057 6524300 1000000000000000000 784389529 166312546 136453446 225345033 1000000000000000000 329909432 52590333 124207926 124985008 1000000000000000000 567748421 201525635 150634817 272201906 1000000000000000000 580658288 541307245 384372490 215938451 1000000000000000000 798153834 684160594 549931211 314038607 1000000000000000000 8956141 1181005 1382517 5350033 1000000000000000000 736423581 620767634 526880791 354739007 1000000000000000000 476089437 88319243 203160574 50952295 1000000000000000000 891222139 723898114 88229595 558023870 1000000000000000000 845491590 783657057 4839396 102214193 1000000000000000000 773716380 592584786 379953270 216885645 1000000000000000000 878954229 754048339 154741182 558496030 1000000000000000000 21917741 6129857 20158870 9213704 1000000000000000000 509592798 219283993 185763803 139159769 1000000000000000000 512955058 14251514 505850597 317242836 1000000000000000000 87793954 46518679 83586695 65838903 1000000000000000000 138970741 126760414 26431112 64074385 1000000000000000000 718915165 311145611 315919173 704175272 1000000000000000000 652208053 641177181 529202646 64924026 1000000000000000000 840761308 372580779 506887281 700307472 1000000000000000000 12148258 2081252 2636363 3363392 1000000000000000000 832282156 516842076 574609550 709086035 1000000000000000000 211612853 111127587 101714795 17426650 1000000000000000000 233967426 818887 56275836 98294232 1000000000000000000 400666569 70585341 108160488 311781768 1000000000000000000 134498706 103824044 1089933 82662856 1000000000000000000 648669764 632815563 321374444 189373081 1000000000000000000 693291866 450414305 336388549 405511255 1000000000000000000 739358741 666627640 363162642 9110669 1000000000000000000 378645098 256737298 69808069 206368836 1000000000000000000 171847181 19578470 62060535 150173211 1000000000000000000 307036618 206441205 129891166 102693007 1000000000000000000 13755863 6545006 13728694 12270231 1000000000000000000 511211852 43257342 493682848 116719655 1000000000000000000 455836736 92398156 33645307 82758020 1000000000000000000 256420692 108360934 145252182 224698125 1000000000000000000 738611000 394181808 28708271 361845556 1000000000000000000 223621556 170725424 104308434 93812740 1000000000000000000 106402295 28853046 93771238 7734972 1000000000000000000 547462338 429005393 69099067 489887995 1000000000000000000 38059517 11453109 34619326 23492584 1000000000000000000 152933459 72530219 72787671 69217423 1000000000000000000 739450904 464565508 66397439 225273815 1000000000000000000 164124665 98271583 1088123 158775182 1000000000000000000 506433956 80448989 249949755 151856554 1000000000000000000 403097647 234990072 43656577 29601864 1000000000000000000 446779185 232454578 51244086 339807757 1000000000000000000 163110490 122904293 20391444 43694098 1000000000000000000 764897251 503712621 121792087 191114330 1000000000000000000 169200354 79745894 44077424 103728894 1000000000000000000 250634818 90075099 125965883 26641448 1000000000000000000 406105368 369294553 329029871 383234576 1000000000000000000 675137668 496887718 446689569 506088207 1000000000000000000 224203109 213474350 106374931 29577389 1000000000000000000 880406393 431263648 394882675 401865094 1000000000000000000 625043791 102496703 205056575 345498229 1000000000000000000 77507615 37094839 24123455 11805750 1000000000000000000 806185681 709856646 504729921 728415771 1000000000000000000 87708690 72971782 78983878 77665913 1000000000000000000 15674841 10725116 330850 11518018 1000000000000000000 361846007 256900331 107778147 194622837 1000000000000000000 114313175 85059910 108736153 76026679 1000000000000000000 136429980 127929706 11726163 70620698 1000000000000000000 107874630 92541732 22724403 89949055 1000000000000000000 267777206 77220503 167286186 42024355 1000000000000000000 968317995 335039810 233421129 374544533 1000000000000000000 741352185 278082210 75975114 181410302 1000000000000000000 338178034 192597990 268833535 159119711 1000000000000000000 867235175 652089336 113825495 258052612 1000000000000000000 862431885 315182040 156634107 824610340 1000000000000000000 607720562 582893212 143748119 235726915 1000000000000000000 427624729 30176840 315756785 346480457 1000000000000000000 16857146 5649978 12450351 2857266 1000000000000000000 141635213 117941841 107304227 17455893 1000000000000000000 249713766 107277512 29793683 118634624 1000000000000000000 163453195 14199909 64872857 7455809 1000000000000000000 836306795 565486872 789509848 76319159 1000000000000000000 300962519 144401319 276331221 147214655 1000000000000000000 991303322 360010566 1086595 781378648 1000000000000000000 646764102 390681249 249595499 62049790 1000000000000000000 687467797 248433257 498759767 558724225 1000000000000000000 264206374 169232343 119132145 204624322 1000000000000000000 152786867 143724310 81348910 50483612 1000000000000000000 419502828 279346599 279608712 333702728 1000000000000000000 37715294 2212844 27124327 31976419 1000000000000000000 458007305 378042392 97212183 224380107 1000000000000000000 157446360 150712115 358657 73596914 1000000000000000000 317973762 171038251 268619708 156508115 1000000000000000000 768416005 595329696 394271036 44282809 1000000000000000000 986389502 233804734 782237360 714832016 1000000000000000000 441635533 194295476 212484987 364225556 1000000000000000000 953606064 845613819 513447768 298830323 1000000000000000000 371753647 46876488 204916849 176576497 1000000000000000000 898829919 216813381 212243473 589369577 1000000000000000000 953074771 121785055 164408441 274432738 1000000000000000000 95873047 58394865 21952706 95332544 1000000000000000000 234111924 64463871 45902215 155303504 1000000000000000000 143825719 32784977 94565926 133520271 1000000000000000000 410310254 24320515 368961917 96878287 1000000000000000000 657187501 580748951 559650554 391476639 1000000000000000000 572271911 265308442 63730640 447041456 1000000000000000000 199137006 183201387 79892902 148671824 1000000000000000000 317940336 191832825 51501467 171933732 1000000000000000000 895946099 332987483 152937496 562858229 1000000000000000000 115120097 100586561 90215917 94142442 1000000000000000000 342926268 288202183 97294648 223042380 1000000000000000000 275597067 45707301 177625624 58728823 1000000000000000000 837603175 755301205 321610382 428692105 1000000000000000000 770088335 60047615 18703166 630730192 1000000000000000000 570572231 499661570 221157189 113826570 1000000000000000000 532610218 56156777 224944762 234705658 1000000000000000000 591105426 77401195 288953504 105388157 1000000000000000000 814037667 810687862 548302807 287420222 1000000000000000000 241359684 219686202 96680025 5421439 1000000000000000000 901197537 593000826 684683973 70750182 1000000000000000000 590090713 352690780 530546597 531536304 1000000000000000000 958023313 676348126 600774931 522369838 1000000000000000000 676851092 193509421 14980402 359385276 1000000000000000000 5160117 570845 1162664 2172034 1000000000000000000 339551837 244607837 325138762 271758066 1000000000000000000 600338615 469303513 142788906 268043001 1000000000000000000 892406873 860128551 707774634 208672674 1000000000000000000 627608932 113751146 527930012 135262483 1000000000000000000 145242815 98217927 78209813 29291370 1000000000000000000 482851023 460105757 21628045 346634112 1000000000000000000 118142364 108499344 93324101 51081782 1000000000000000000 41885464 10001946 38491815 5300665 1000000000000000000 75454297 23662520 20115985 74201375 1000000000000000000 628843650 287097854 8038797 445869941 1000000000000000000 977562297 147656589 809416869 417094278 1000000000000000000 22318706 3650644 17255860 4111653 1000000000000000000 122350941 106870873 33116220 32618281 1000000000000000000 890136908 378159704 20335893 412203667 1000000000000000000 388315515 103880335 256884208 192158196 1000000000000000000 562535085 83025873 216536971 369140732 1000000000000000000 687202532 553133112 237730349 635125101 1000000000000000000 929466081 512475534 668794394 426111012 1000000000000000000 921431858 208909141 327397963 417132506 1000000000000000000 839965877 238879388 445644536 160627167 1000000000000000000 837487537 34066899 798603010 157989140 1000000000000000000 782616096 282756528 386475025 709907452 1000000000000000000 324812919 37436283 321030607 192698721 1000000000000000000 592940225 181733854 535822460 542441493 1000000000000000000 501398509 424012463 62854905 361490948 1000000000000000000 299647875 81063094 11133075 42831481 1000000000000000000 726906431 403890069 345953312 151973933 1000000000000000000 605304070 457594377 107428852 209958825 1000000000000000000 348420668 184224016 95338235 287234212 1000000000000000000 575947283 514017675 479603120 187837989 1000000000000000000 640014108 32020158 618369089 623614683 1000000000000000000 102034679 29016081 12657186 14166692 1000000000000000000 57732018 798148 53270110 27725264 1000000000000000000 94171190 86792335 38151838 83532841 1000000000000000000 548011138 71450386 284075792 205005993 1000000000000000000 814494822 120880171 645769391 460004961 1000000000000000000 593762773 39027566 521676222 399021152 1000000000000000000 537699352 432169410 390940140 247536348 1000000000000000000 150780175 149025801 72995030 96237989 1000000000000000000 993632802 809707986 20876080 459264723 1000000000000000000 683757750 449400738 567233202 548932863 1000000000000000000 16612086 10008101 2982480 14562532 1000000000000000000 453619398 30651518 104666839 352143284 1000000000000000000 216414952 96969158 57790815 90304742 1000000000000000000 38755647 13647812 20559214 35914641 1000000000000000000 71777128 27421912 52115703 24415746 1000000000000000000 502324978 95080854 382850735 500232783 1000000000000000000 725891215 523945927 469596711 165026836 1000000000000000000 823494249 71125402 559542989 291859357 1000000000000000000 576495521 564774202 335901110 46103934 1000000000000000000 312154621 155830318 300413909 76966165 1000000000000000000 30834988 11569807 1325719 27023568 1000000000000000000 545466398 213433167 542559078 319045119 1000000000000000000 861570344 53710385 220181652 104818777 1000000000000000000 391071167 366556394 367175463 58154321 1000000000000000000 245004075 230986783 186251977 126818100 1000000000000000000 859282296 617861448 315992960 335196952 1000000000000000000 989158781 74608520 511831795 594606803 1000000000000000000 892208168 669031996 520731565 545102388 1000000000000000000 521185467 150737536 137513962 257348633 1000000000000000000 348048965 127094632 190796730 209901506 1000000000000000000 629954909 399370899 242364651 474550992 1000000000000000000 916145234 700323126 707043431 682223575 1000000000000000000 656798125 452895763 40168403 497236623 1000000000000000000 687465173 581676940 310753612 83235367 1000000000000000000 399201907 40340573 4390249 164863589 1000000000000000000 484237623 224573276 218999961 150666230 1000000000000000000 602735637 373044048 255745418 222049799 1000000000000000000 322069733 130028347 44524939 133339381 1000000000000000000 967409439 355067967 409279615 530228829 1000000000000000000 879642396 164045217 867031712 765063839 1000000000000000000 684852481 304583721 268395506 74104283 1000000000000000000 178067639 34669901 58785412 85138587 1000000000000000000 677890786 107175515 180454234 351236299 1000000000000000000 933972641 35506559 496037321 868259892 1000000000000000000 933834875 836061960 641422170 515058228 1000000000000000000 103427000 25187963 37837971 44351699 1000000000000000000 467572685 114891545 227581643 432711874 1000000000000000000 596073029 19294634 77620176 47997950 1000000000000000000 518454504 88312318 404671809 207407129 1000000000000000000 637819105 441604863 233436886 575324376 1000000000000000000 265102035 108579404 48533230 9541536 1000000000000000000 366573568 333908133 43032278 58161611 1000000000000000000 337533817 148980291 33601800 44028966 1000000000000000000 706479265 496676046 2952796 600677855 1000000000000000000 507474093 151015139 196403691 491889317 1000000000000000000 84217823 46664220 10036222 78067830 1000000000000000000 250654461 179505488 57427721 53169534 1000000000000000000 521161293 94659649 311094398 364283590 1000000000000000000 209560039 12078056 155408881 39850175 1000000000000000000 863807243 442571707 807198752 251437671 1000000000000000000 79383350 56912319 46544455 44704590 1000000000000000000 963946493 128164245 569430790 755207703 1000000000000000000 753765365 357430190 560334049 240802307 1000000000000000000 574918544 217499337 105024382 466375002 1000000000000000000 732909778 594023033 13485500 373226534 1000000000000000000 700764446 418137500 149361876 242674155 1000000000000000000 570454566 88447466 32178579 404432919 1000000000000000000 923500199 210199726 746733892 706837166 1000000000000000000 258793871 119920939 193371785 44586955 1000000000000000000 349220099 8401565 248149823 203764169 1000000000000000000 488179648 35029028 111410506 362208741 1000000000000000000 295308806 126936154 189583852 278125783 1000000000000000000 97975930 97864265 50278119 67456915 1000000000000000000 702959498 272721279 502266796 537935780 1000000000000000000 192972382 155531254 88698324 3914150 1000000000000000000 41681490 27272416 22932299 29202783 1000000000000000000 273391862 222392598 212095516 165257904 1000000000000000000 782690988 382274307 436843426 749054177 1000000000000000000 347467658 177503344 170211189 17372540 1000000000000000000 835492222 592595209 223591519 104698597 1000000000000000000 414616361 336581279 126187113 358762750 1000000000000000000 496729403 378727559 352319102 435161282 1000000000000000000 862833541 349388078 243844044 320383950 1000000000000000000 128397260 100650815 45262101 36854663 1000000000000000000 121295552 53635234 27429679 119594546 1000000000000000000 833863076 471984793 128081140 81354299 1000000000000000000 503496901 489726314 233325727 3209107 1000000000000000000 216804737 36845992 94184846 202368056 1000000000000000000 881016841 11422070 867221663 24220249 1000000000000000000 126568946 101655932 110951268 53449635 1000000000000000000 936463035 887136586 497582167 710960469 1000000000000000000 825148155 20362190 534032422 313920452 1000000000000000000 839456985 829625008 503163962 696818685 1000000000000000000 10908215 7093944 2660519 2817233 1000000000000000000 175432611 100483078 17077797 62141966 1000000000000000000 790344654 559949585 575270563 579185149 1000000000000000000 514004625 34368227 351285238 9964127 1000000000000000000 735180642 725400721 442810988 665349278 1000000000000000000 98099444 85223922 53244995 84545771 1000000000000000000 378655269 179281865 38643056 238836960 1000000000000000000 988247898 286213316 561454843 469646375 1000000000000000000 377831475 360328895 42207276 56126276 1000000000000000000 617330014 111905023 604935105 417392203 1000000000000000000 150745615 80930138 76666192 52381819 1000000000000000000 132331734 74835471 130751885 82815559 1000000000000000000 945005868 915521889 591841379 406684283 1000000000000000000 973081454 275716342 40661127 264431997 1000000000000000000 680215370 55204307 655503409 184188988 1000000000000000000 866293965 67856416 644969234 493734405 1000000000000000000 386074693 265680784 229724332 54906827 1000000000000000000 453954437 185099199 224606418 204725188 1000000000000000000 995950026 600304311 526318520 25953380 1000000000000000000 334173037 83989616 57862748 224601927 1000000000000000000 620462690 236906107 307389855 411392948 1000000000000000000 895892263 363257592 366811510 68450425 1000000000000000000 491449525 465406560 124066612 129085044 1000000000000000000 927848561 50031534 164096962 402234720 1000000000000000000 80877346 27533441 60022479 43608868 1000000000000000000 284322669 17600260 38119559 181660536 1000000000000000000 149391761 30269902 128005947 46372147 1000000000000000000 469473798 68436919 270300070 193425893 1000000000000000000 449411323 61287531 448138796 113434244 1000000000000000000 946149246 735167470 851280325 828671509 1000000000000000000 403069453 268277931 60453525 80105526 1000000000000000000 921920167 920873936 456056854 643370468 1000000000000000000 181439420 134067345 80185209 44924423 1000000000000000000 409001344 305450343 136480650 26933099 1000000000000000000 983689682 689626808 66641745 936412390 1000000000000000000 641760248 330313533 537633645 576154363 1000000000000000000 681079473 590170520 467879465 328365392 1000000000000000000 944403542 763805533 572833856 78225179 1000000000000000000 975789927 699064233 251109728 459914487 1000000000000000000 662696156 610068812 130894975 661547424 1000000000000000000 889854636 463508131 15934343 595790521 1000000000000000000 378334945 372301235 172988452 144188057 1000000000000000000 818386513 595612875 579410469 93398864 1000000000000000000 148635255 13403675 33107034 119284158 1000000000000000000 345348381 249480694 259893742 133744962 1000000000000000000 204098165 95320520 13393609 64701763 1000000000000000000 972929946 685795390 573938108 235824470 1000000000000000000 782917291 469955312 353045537 750177533 1000000000000000000 794912481 370811815 547521954 629468307 1000000000000000000 431465252 414266943 46684784 373840141 1000000000000000000 733642632 416246012 205435256 94476889 1000000000000000000 353307694 162318542 154179679 319800967 1000000000000000000 756973595 218635764 300851277 644682255 1000000000000000000 60921473 28910573 16286493 19979623 1000000000000000000 420736264 212123424 30552623 362387178 1000000000000000000 879857683 420794205 612203987 661958225 1000000000000000000 580049088 117630736 386789025 326008181 1000000000000000000 363839151 241978799 206988789 240342387 1000000000000000000 191482758 145856369 38043283 61310421 1000000000000000000 231795827 147057082 194423057 141326226 1000000000000000000 130820669 81929020 69769421 14933686 1000000000000000000 50013789 5674363 16611966 546168 1000000000000000000 732574843 95922197 502710078 620567138 1000000000000000000 641075437 301754634 12408627 176808051 1000000000000000000 529721615 81266104 28267771 82743483 1000000000000000000 213309391 160875255 42247136 120397607 1000000000000000000 381341626 115787580 15645862 271633935 1000000000000000000 352866397 10378430 69378373 221969841 1000000000000000000 635561925 424469974 279671985 417981545 1000000000000000000 700026299 67325556 173644897 267697851 1000000000000000000 541499200 201724836 141437222 205398764 1000000000000000000 839083269 654449148 367785383 312766301 1000000000000000000 976901064 591653346 33640045 644036265 1000000000000000000 199101868 25238192 161261217 79748521 1000000000000000000 73313225 10271968 55545592 32347970 1000000000000000000 691645453 410646257 149004592 455546820 1000000000000000000 839978686 778585013 561019915 107375300 1000000000000000000 722965422 621451976 143632334 625461248 1000000000000000000 462262439 460398335 374099260 209519386 1000000000000000000 229343967 216545722 4647690 222789296 1000000000000000000 714413690 83841656 196013847 3930095 1000000000000000000 41489611 20396020 28703886 40473862 1000000000000000000 917512497 181058248 192557028 199214768 1000000000000000000 108706436 85749799 21752338 9476008 1000000000000000000 609623340 399147272 304975405 581986191 1000000000000000000 8186043 1261217 4398616 6196443 1000000000000000000 852426120 89579262 468839011 703765418 1000000000000000000 266858819 259146602 113317828 133141532 1000000000000000000 25680040 21943681 11776902 18389435 1000000000000000000 894071685 49545521 183791255 291739243 1000000000000000000 868672045 679609836 434177094 85915445 1000000000000000000 187993493 147458650 42621503 184243461 1000000000000000000 963925961 722120306 904331164 915556358 1000000000000000000 118138918 60662731 68647206 60734898 1000000000000000000 886224717 415373906 246904487 259203155 1000000000000000000 204097407 189646474 45704366 38616171 1000000000000000000 163268472 96515618 146440468 12475603 1000000000000000000 633185310 126963239 486158578 614966532 1000000000000000000 793108891 109076571 530563382 260690031 1000000000000000000 47088116 1509048 39914640 41443477 1000000000000000000 952791251 169013801 912183708 96577145 1000000000000000000 451297368 52004864 171697459 155363356 1000000000000000000 105543407 89929305 14805642 87639934 1000000000000000000 777324169 624646901 22054770 587615019 1000000000000000000 427520191 74787182 91554802 222700389 1000000000000000000 718725283 553299978 248513588 200304910 1000000000000000000 628615743 527939196 147166719 627645606 1000000000000000000 439837885 36747325 30879111 237270431 1000000000000000000 774163227 279121317 656722921 677308122 1000000000000000000 768166563 531897675 759756111 333654725 1000000000000000000 144979866 24065432 102640008 128839778 1000000000000000000 440758770 180730608 397764970 389802522 1000000000000000000 343447087 175638019 69513958 226912802 1000000000000000000 398719871 363538537 390159925 345345559 1000000000000000000 80511356 62036691 8730778 25306332 1000000000000000000 79148848 7538194 36516726 17988875 1000000000000000000 30425694 13364877 10102129 22956010 1000000000000000000 829785706 670414221 43543496 737674063 1000000000000000000 360230921 327781527 354729036 110669214 1000000000000000000 935998209 865441130 672441351 410321915 1000000000000000000 626699673 516513318 569632827 500120629 1000000000000000000 323068914 314157534 87537863 142329266 1000000000000000000 807546300 784735100 561308346 741081231 1000000000000000000 969071468 76421918 590109821 100519919 1000000000000000000 724180455 661862569 558987842 265764880 1000000000000000000 309490226 280560666 220634451 206637917 1000000000000000000 499318980 421656434 224298799 56213917 1000000000000000000 578310544 165999870 320357918 132710147 1000000000000000000 43730499 18541273 40915105 26677780 1000000000000000000 663283491 174777701 294938374 505945746 1000000000000000000 796971520 45796517 198247968 117585182 1000000000000000000 816676599 167255088 580352425 614196084 1000000000000000000 931401562 895427050 191397750 231317339 1000000000000000000 88560677 13415641 65127362 6599175 1000000000000000000 439388405 272569523 222740720 4620298 1000000000000000000 680697032 210006263 184374430 24083966 1000000000000000000 91185168 55971685 18577254 53593583 1000000000000000000 926158353 397931168 650403953 410942817 1000000000000000000 207590813 134213905 178036894 185833353 1000000000000000000 21288139 20638381 14995764 13845416 1000000000000000000 495557850 190851530 224935509 58202067 1000000000000000000 270445281 33058606 66921170 113278422 1000000000000000000 948717548 504852521 410900848 868469768 1000000000000000000 709904647 494922679 343690623 102113831 1000000000000000000 645934679 72130661 75534656 303070936 1000000000000000000 971051238 560874913 954622792 111324248 1000000000000000000 107008799 64490245 371274 1809384 1000000000000000000 936751679 532983366 179545732 238945771 1000000000000000000 182292057 163302677 135808751 160857455 1000000000000000000 300047990 69139532 102886113 27393773 1000000000000000000 723468792 290577054 316537309 621097677 1000000000000000000 938243408 772978650 635174516 263309897 1000000000000000000 991567103 950880225 63827530 749125277 1000000000000000000 340328417 143814246 17912406 70645308 1000000000000000000 30651853 12722080 13111813 15282897 1000000000000000000 834652658 541656132 599871859 596037386 1000000000000000000 772673032 540152250 639925557 539275490 1000000000000000000 99737498 94599453 15795279 77041884 1000000000000000000 6042632 706693 4109811 2563113 1000000000000000000 352517581 77082199 279676689 308093709 1000000000000000000 301188466 41522108 109690483 80244265 1000000000000000000 855642866 817374490 173819215 263372201 1000000000000000000 550082599 86651487 138013969 344519988 1000000000000000000 53927914 4892598 19482298 15021825 1000000000000000000 90138993 59745769 7138029 87918685 1000000000000000000 466717493 243771591 345561793 183216874 1000000000000000000 140302829 79684105 17049537 115949373 1000000000000000000 4187332 4123542 1074622 664513 1000000000000000000 145439304 82495944 23422949 17031688 1000000000000000000 882869719 99294012 15379063 272852847 1000000000000000000 725313140 403750359 58051182 337317856 1000000000000000000 584280310 313350427 102748753 518425016 1000000000000000000 50111113 21740420 41330655 47306369 1000000000000000000 700757284 184688077 270628507 201835531 1000000000000000000 509210297 162605085 80044438 128577389 1000000000000000000 768692595 755118524 6951524 670396533 1000000000000000000 589542645 562104251 373490356 292854674 1000000000000000000 48468897 29187694 13807389 16254803 1000000000000000000 568957190 254882644 468068469 380270178 1000000000000000000 623414678 147410388 104245604 345855640 1000000000000000000 593605825 502336651 357074426 324309562 1000000000000000000 262020122 203746672 140553943 109844945 1000000000000000000 480048524 384859292 41289084 47076353 1000000000000000000 647728744 462624768 223467838 533948542 1000000000000000000 87073472 45625549 55538891 85995016 1000000000000000000 189388128 87565064 21144437 47191869 1000000000000000000 251461990 165132415 119833556 68185952 1000000000000000000 180517573 45070945 159533760 79216687 1000000000000000000 157849547 125125611 16475869 70514167 1000000000000000000 73564656 42096455 2080757 43119743 1000000000000000000 565565270 359287232 98343559 138076928 1000000000000000000 363884358 338772575 255974853 163510574 1000000000000000000 95481816 2507180 91788769 26610895 1000000000000000000 30668986 27186146 28041749 16992490 1000000000000000000 530751207 92642467 3488650 407685646 1000000000000000000 567983109 402755386 54862111 396701246 1000000000000000000 523352740 338009775 74298322 398509010 1000000000000000000 756470103 630209167 26668454 5218669 1000000000000000000 588458462 476388718 468155139 69124368 1000000000000000000 827602992 612283138 160128282 147173961 1000000000000000000 17748215 16424014 9256732 2958720 1000000000000000000 783367235 518832592 749597664 697860881 1000000000000000000 618850928 353622533 431390134 579468888 1000000000000000000 623387172 289766872 115459715 619885240 1000000000000000000 533307965 369622941 86917188 4841133 1000000000000000000 415564596 138283818 358338663 159195792 1000000000000000000 115718045 69067810 106279713 8824762 1000000000000000000 525937242 316109184 253332402 436224255 1000000000000000000 455727392 6847597 257446551 364637075 1000000000000000000 297734371 259628777 27462377 295506314 1000000000000000000 407350866 391680022 240750520 238348963 1000000000000000000 430670463 109601841 176059772 416591701 1000000000000000000 964976431 428853816 887132035 548844287 1000000000000000000 434223080 170140070 117136416 170088655 1000000000000000000 174289875 144253171 37700931 98154914 1000000000000000000 328116428 87890953 29276476 208052812 1000000000000000000 496359003 179375511 169443406 486385312 1000000000000000000 175365721 21127474 87710706 80166105 1000000000000000000 694507755 654611977 611591461 479595316 1000000000000000000 976490592 599360478 557174030 697872478 1000000000000000000 338169646 3023446 232779707 325124313 1000000000000000000 837392512 719471394 644767014 505458334 1000000000000000000 112368097 73720529 83054568 41272752 1000000000000000000 209726572 31800274 132305670 8910514 1000000000000000000 307864613 173324874 203178876 29439786 1000000000000000000 271184645 128818268 11134177 184588198 1000000000000000000 772885973 227901808 149602780 285095643 1000000000000000000 509225712 392093856 16524681 310608428 1000000000000000000 758076110 40890030 433968350 646093271 1000000000000000000 112404266 84781539 2778268 28010410 1000000000000000000 699109923 44123196 355391466 196157912 1000000000000000000 469082485 302565962 338928941 367220075 1000000000000000000 745238227 648067484 340548150 349862336 1000000000000000000 189641537 91188437 114531681 12205954 1000000000000000000 903542248 119578660 610340558 542797152 1000000000000000000 213913744 77594542 42882045 113669170 1000000000000000000 596007115 233564247 316724014 218001852 1000000000000000000 16573953 15360904 5663227 1473427 1000000000000000000 337910691 136780698 136849557 79173304 1000000000000000000 542193348 243919893 502921451 406948713 1000000000000000000 843982923 671052917 367991990 752239963 1000000000000000000 166501554 70376639 143039652 14383892 1000000000000000000 891028529 746703486 812453031 296852862 1000000000000000000 234128080 176792294 45942763 176636030 1000000000000000000 952419905 460137913 770086163 503340706 1000000000000000000 861914598 404465493 430917645 792036777 1000000000000000000 247774858 100334976 228461619 223833622 1000000000000000000 253644030 123712929 219222202 109441259 1000000000000000000 828978410 549658745 181948918 84240096 1000000000000000000 217942963 112619751 169231377 123779652 1000000000000000000 607164694 280308539 530838733 186872080 1000000000000000000 641145121 72178718 477967426 536533958 1000000000000000000 930039088 27672290 67020050 184722779 1000000000000000000 286525218 59209312 211505728 69576953 1000000000000000000 522736356 66945146 218021852 136451091 1000000000000000000 868445243 838870400 724155667 83004025 1000000000000000000 415710699 167684437 77810049 19008858 1000000000000000000 609838466 484143398 592545929 43135678 1000000000000000000 655125011 2344281 111769873 121151214 1000000000000000000 329786136 293160457 73956730 205123301 1000000000000000000 131389036 66394609 1200382 62652159 1000000000000000000 395646025 77641789 318385958 297591586 1000000000000000000 88019767 77821054 60435109 12664443 1000000000000000000 769865384 250438901 588394974 150950283 1000000000000000000 103171226 78863744 25548198 38768399 1000000000000000000 833672720 754086510 624082320 244272200 1000000000000000000 398309217 218322571 221766989 210856165 1000000000000000000 849652197 572605721 693357436 248765638 1000000000000000000 509212131 66571539 207412870 401140419 1000000000000000000 92719754 64659323 53869440 20604980 1000000000000000000 928394125 782265948 199292965 784983794 1000000000000000000 149101270 50564431 34218994 102372779 1000000000000000000 353300049 65169223 128317672 260563871 1000000000000000000 865692584 696648635 213961082 90952206 1000000000000000000 783165699 149889202 550474770 546064247 1000000000000000000 83407610 17128714 24566799 44069563 1000000000000000000 204309115 145814652 142223278 41828649 1000000000000000000 249006717 231614550 152473998 126599957 1000000000000000000 775381301 272796183 702566650 495069432 1000000000000000000 961192157 377703147 479660220 948810732 1000000000000000000 877196595 339989347 504416613 71783358 1000000000000000000 302628724 141111139 82060114 240211035 1000000000000000000 494096416 222891143 191224139 322731726 1000000000000000000 969605115 858167096 378060167 278437955 1000000000000000000 586762269 30220781 157573181 85643078 1000000000000000000 1838906 1645319 1195917 1351514 1000000000000000000 194497204 160338409 2992132 107969264 1000000000000000000 613951490 101890491 93281854 579117251 1000000000000000000 654758780 121801175 101469661 239960459 1000000000000000000 877056555 708811604 491199996 868184649 1000000000000000000 738590832 361020548 240428693 619830118 1000000000000000000 445674751 328050530 148522803 159740599 1000000000000000000 454253162 52623114 115188216 410773274 1000000000000000000 589876493 241014413 455133239 490591724 1000000000000000000 906033379 106026198 453284083 116275037 1000000000000000000 575078248 408656681 110456054 398069527 1000000000000000000 374748455 366213750 350076070 190417784 1000000000000000000 326710405 112879688 28376078 288007237 1000000000000000000 832261364 137521837 246081569 88888113 1000000000000000000 431207128 393612038 137436126 420571233 1000000000000000000 413593769 133891654 281058604 279772622 1000000000000000000 44542219 21261427 23874863 2586605 1000000000000000000 173953895 150247119 92595604 17630320 1000000000000000000 108974687 102301549 107767336 51463604 1000000000000000000 527592017 396029115 97170099 218717307 1000000000000000000 631762274 542810766 207158479 568696905 1000000000000000000 252930115 209294252 160864670 9262050 1000000000000000000 944123106 407364151 885457286 299371198 1000000000000000000 974881859 316710131 918795929 692846228 1000000000000000000 801770066 343825888 93384690 91312312 1000000000000000000 258660150 247913268 188671109 213138034 1000000000000000000 408282177 224570306 104709860 159543776 1000000000000000000 635314781 510278817 178592222 394027435 1000000000000000000 181544309 87803268 139908913 62980873 1000000000000000000 984532379 472864914 23181413 686720437 1000000000000000000 735154418 296234597 62262567 298593988 1000000000000000000 317083013 94119652 114420921 240841247 1000000000000000000 857340408 522222220 236974467 213106011 1000000000000000000 209264788 16212528 103375732 170164473 1000000000000000000 806274450 529840024 533490581 198471407 1000000000000000000 253555993 140152449 37905411 126078434 1000000000000000000 9386551 756775 4733893 7865465 1000000000000000000 688742492 339043742 439295648 318883869 1000000000000000000 494798948 6427268 252093529 66236599 1000000000000000000 367002893 276127027 289732629 249955502 1000000000000000000 307169213 277617122 259327536 126590219 1000000000000000000 123849549 49153357 27469425 79836336 1000000000000000000 745409356 474617945 73872286 7581870 1000000000000000000 272962671 75592926 36824248 113085548 1000000000000000000 708010728 497859536 673641870 192177889 1000000000000000000 341403617 306960648 19050606 245811578 1000000000000000000 125621940 19443500 61608549 34293871 1000000000000000000 853148200 830914107 101707409 16918958 1000000000000000000 476628674 76115926 454317235 215829826 1000000000000000000 32524789 1569602 31927905 3171208 1000000000000000000 466999618 419706419 290174426 64143178 1000000000000000000 717022926 533200124 133716255 42984521 1000000000000000000 911449328 552472358 646432955 790014249 1000000000000000000 608335292 256897152 37207443 261179336 1000000000000000000 702129964 644120396 357263405 577503427 1000000000000000000 491406651 447637493 140007127 288726077 1000000000000000000 53212037 5867 39553325 44421340 1000000000000000000 892981904 114582406 144765444 845199088 1000000000000000000 110045792 28609496 44791003 45571109 1000000000000000000 870278986 378337697 64937826 153035907 1000000000000000000 672638127 355319540 652037727 21415551 1000000000000000000 785120906 716667616 731786136 33740381 1000000000000000000 599414168 15892967 261691775 156947509 1000000000000000000 830478868 660576333 257624759 347344687 1000000000000000000 347837444 65043384 340110569 95453466 1000000000000000000 271916508 185498363 174780100 72012410 1000000000000000000 999232013 110336774 285439525 573855655 1000000000000000000 687227588 92856088 77083268 213963755 1000000000000000000 49497628 43658422 49087031 19821390 1000000000000000000 750212092 575816799 338418511 389065944 1000000000000000000 84895452 26322017 43107986 73913940 1000000000000000000 356969502 180958475 276041448 207258563 1000000000000000000 299776908 225746607 250911604 262073008 1000000000000000000 717839031 429032313 30968264 265861976 1000000000000000000 219334462 114963780 137453422 120905117 1000000000000000000 838876786 686947999 316028662 594798310 1000000000000000000 48147698 31134138 5628795 30340912 1000000000000000000 308093228 146792814 54120129 287515425 1000000000000000000 266359520 181768958 49098879 96717601 1000000000000000000 65916945 2444673 53019115 58983345 1000000000000000000 842122514 512511759 655766429 802611623 1000000000000000000 881123154 95968856 347479440 16100215 1000000000000000000 601561425 454978830 155916290 335301562 1000000000000000000 386351780 7540038 328306396 25571192 1000000000000000000 780336471 751756854 339849282 607191133 1000000000000000000 877680397 594224052 371531315 589406856 1000000000000000000 219801294 3144239 148257869 168413429 1000000000000000000 287802266 122232027 200945959 166857125 1000000000000000000 333665912 49047514 115524619 238236942 1000000000000000000 944899138 272088670 194856066 178870245 1000000000000000000 375370618 312177786 267566473 243605282 1000000000000000000 887236457 150536293 295875720 607738792 1000000000000000000 438618881 105530303 263182271 66788879 1000000000000000000 137141567 25100591 110756465 114087250 1000000000000000000 907198095 838010527 408129868 112325627 1000000000000000000 408686263 299631552 224219079 103052517 1000000000000000000 989874619 747285182 279642613 328510912 1000000000000000000 886214859 339596684 803325179 632346000 1000000000000000000 717661993 320982472 639745552 630539887 1000000000000000000 972444236 734697482 227422110 290036875 1000000000000000000 386573437 47040923 163394617 196566375 1000000000000000000 783755024 135317217 749016278 552262120 1000000000000000000 82548252 5926354 36970196 32393516 1000000000000000000 168546533 45510652 133524100 42562345 1000000000000000000 930720619 191423534 464428376 899980017 1000000000000000000 267406537 175011873 180168499 92459325 1000000000000000000 757645087 294253072 367812413 322162039 1000000000000000000 838312522 335081543 463137144 774676975 1000000000000000000 748227850 324302883 387244873 65977756 1000000000000000000 582106582 17071540 64965586 85280189 1000000000000000000 628943402 70324616 165810271 397695811 1000000000000000000 868888775 686376908 140189400 49423147 1000000000000000000 683116140 333057238 240023453 200215894 1000000000000000000 906586174 468996431 695942860 51365756 1000000000000000000 349539648 19655776 91443647 307939043 1000000000000000000 185652960 8888043 71879112 6071634 1000000000000000000 473963327 27796445 125910474 379166048 1000000000000000000 89438782 23860457 49202710 55267903 1000000000000000000 961210748 261776782 34353284 28486084 1000000000000000000 701345733 121155878 411796472 398323424 1000000000000000000 710267132 388672493 270551552 61298892 1000000000000000000 435307724 334761786 41880403 406857919 1000000000000000000 734589700 517645319 640596283 633853768 1000000000000000000 777355985 314421608 269733968 591707058 1000000000000000000 936628563 315829336 828057017 175895604 1000000000000000000 539161995 329484647 275542998 70242835 1000000000000000000 301722622 141182471 278470892 276972497 1000000000000000000 75372959 67232322 64882336 56096507 1000000000000000000 215764726 58195353 197544024 179905396 1000000000000000000 630448597 467395166 287658932 619959015 1000000000000000000 680190951 206373823 602551550 384696992 1000000000000000000 606898291 53488281 589059393 432117705 1000000000000000000 594067015 145029217 251069468 380639070 1000000000000000000 344397825 220797173 2840102 315337960 1000000000000000000 793057796 271805351 612439101 140091289 1000000000000000000 416697893 112588277 118754998 107090823 1000000000000000000 191413822 44676 4696131 82448326 1000000000000000000 103859058 5341220 19597532 23239180 1000000000000000000 511511642 67235520 60896619 92794440 1000000000000000000 955096363 133312528 778886835 788390846 1000000000000000000 518018780 453314776 455872942 368171121 1000000000000000000 964605089 366219478 437663418 712762158 1000000000000000000 118366359 112045117 71504506 17978499 1000000000000000000 441180271 323580274 97910557 4932182 1000000000000000000 251586431 190197422 212289601 247245139 1000000000000000000 220669962 6310510 77215503 77556803 1000000000000000000 959161019 627750048 147736079 353186666 1000000000000000000 703973912 315249627 628493635 635727424 1000000000000000000 852466177 201865487 26762488 396040827 1000000000000000000 701649509 667264433 611942027 449642216 1000000000000000000 58605648 53837381 16929515 4493355 1000000000000000000 116245282 54874445 82548963 39891020 1000000000000000000 576887898 64288355 436016048 488554462 1000000000000000000 944498857 212872137 382596927 114521266 1000000000000000000 516039360 111686181 21488797 315761905 1000000000000000000 230531333 89494971 158104114 220771950 1000000000000000000 546717317 252518015 137412374 205627979 1000000000000000000 434446474 426703710 117629534 299360147 1000000000000000000 838002954 396725345 618335860 81366325 1000000000000000000 307120130 268866156 42163574 94024246 1000000000000000000 340885854 164465706 66145896 205022146 1000000000000000000 393578318 12521292 8259897 41031798 1000000000000000000 498317520 329409172 90933630 69706087 1000000000000000000 256712367 95306026 116402849 62133725 1000000000000000000 568372383 502227824 342671219 371030231 1000000000000000000 128453820 67713424 109750043 81570394 1000000000000000000 606651975 124252671 503480852 16414691 1000000000000000000 739006199 508051466 124051814 279598416 1000000000000000000 647088064 457449228 134753212 226702976 1000000000000000000 415307224 270618980 302217789 113799352 1000000000000000000 358648337 234928497 177353102 282114823 1000000000000000000 828009797 379001629 46694119 316944429 1000000000000000000 922984111 382018032 832229782 446404727 1000000000000000000 839267393 89638802 488615111 264820205 1000000000000000000 966583709 450512361 878704913 11031675 1000000000000000000 872772806 858436072 761383005 645924546 1000000000000000000 810311415 120556587 294065774 188349622 1000000000000000000 354212188 14484855 117585467 347418020 1000000000000000000 432113753 296703185 385558291 87780752 1000000000000000000 945873666 481766395 556672525 867878920 1000000000000000000 814890722 155296174 397395009 559604353 1000000000000000000 53180367 35177815 33587417 2616598 1000000000000000000 144212506 94045346 83599995 1536308 1000000000000000000 173032411 85530654 16543475 153351557 1000000000000000000 788561392 438669970 176272877 492719400 1000000000000000000 770156789 481613966 483446468 217518271 1000000000000000000 150155884 78632010 144993843 59469182 1000000000000000000 709301052 445085356 137001252 544031479 1000000000000000000 673564777 83962060 343507804 253234468 1000000000000000000 113481951 112833970 7497914 37954125 1000000000000000000 965228961 824931429 30461119 635517320 1000000000000000000 851851149 438623148 63304673 295117631 1000000000000000000 440088568 221459605 131621827 170757511 1000000000000000000 176041123 17748984 122044233 91657136 1000000000000000000 953755587 444129507 234452805 291960592 1000000000000000000 170752106 159609619 71747606 44481253 1000000000000000000 81808899 77569079 167248 14555752 1000000000000000000 120689444 69804593 65292074 12212973 1000000000000000000 74931953 61940179 59507883 42571334 1000000000000000000 403231490 206886774 26524958 8761694 1000000000000000000 40104319 36480894 6221850 17943642 1000000000000000000 985468244 267997496 654030803 137010346 1000000000000000000 723443979 518075366 621509783 296373153 1000000000000000000 156758029 1066326 24087806 34025615 1000000000000000000 685200179 458752774 641308613 2469604 1000000000000000000 738650478 356100248 277368998 693277762 1000000000000000000 687068353 362841780 124449147 603196919 1000000000000000000 67038571 20994348 10062318 40033210 1000000000000000000 626920900 412729199 144458511 406651966 1000000000000000000 942838660 667300536 122732661 298771422 1000000000000000000 730170246 319536404 292403972 165713200 1000000000000000000 739786214 553558045 709318510 408661010 1000000000000000000 535337661 51825735 489965645 236316558 1000000000000000000 27562953 17148794 14706946 18727023 1000000000000000000 928496902 531989240 627871488 616539649 1000000000000000000 305400129 188501705 147960203 790177 1000000000000000000 863222465 788177766 193821982 425947597 1000000000000000000 318098086 185716624 266063239 121590026 1000000000000000000 136772642 19666480 35152462 35167750 1000000000000000000 522748979 428383091 103044163 67135705 1000000000000000000 82644979 1816719 49551398 64193742 1000000000000000000 848402265 664215910 673396298 277677756 1000000000000000000 641863280 338048523 30990565 21137169 1000000000000000000 537287649 348987 431636319 409064581 1000000000000000000 254469290 103974007 84923827 48489630 1000000000000000000 367093808 72480446 58195750 213019469 1000000000000000000 768238098 588473078 585078708 766233909 1000000000000000000 332674525 215287847 67890950 125107324 1000000000000000000 561554443 299574181 500545367 190529424 1000000000000000000 839599204 728145615 602193441 550463640 1000000000000000000 678130622 121672351 605299025 202445830 1000000000000000000 764523616 648286683 554659962 174646543 1000000000000000000 331150592 100515121 278990813 166338189 1000000000000000000 62421682 15561868 50805214 35738839 1000000000000000000 950077128 41389738 253374541 947690062 1000000000000000000 927918816 842240004 779492508 624488499 1000000000000000000 870652600 501707117 319308513 576649229 1000000000000000000 133319601 26521201 13903895 16649012 1000000000000000000 571518751 549401289 438851121 356048543 1000000000000000000 760066696 650482689 125515027 345722935 1000000000000000000 721828789 539010928 482699764 192673657 1000000000000000000 252126814 204357627 231582843 65599503 1000000000000000000 213073339 793639 2684511 91690531 1000000000000000000 329657127 50808352 236202608 190180223 1000000000000000000 720979743 308500560 165045284 229252688 1000000000000000000 785846235 372230054 108413751 84495072 1000000000000000000 825346307 418766335 559703517 393580105 1000000000000000000 962971777 622931874 501369564 328603626 1000000000000000000 231229962 57283546 34498670 31855738 1000000000000000000 945975928 99780270 697925588 530963946 1000000000000000000 179544317 8597269 137868772 39537801 1000000000000000000 891275336 775501543 699833889 501236465 1000000000000000000 601011697 25994995 483957153 320092589 1000000000000000000 914859630 286925359 908594643 871609506 1000000000000000000 810477809 790326351 108292229 249866230 1000000000000000000 679312902 224711704 527192349 465861800 1000000000000000000 169498813 167255973 31239638 117549364 1000000000000000000 569191025 100327849 251422603 538661704 1000000000000000000 159681421 19430785 35481021 156826278 1000000000000000000 701320949 42990842 80252103 585443091 1000000000000000000 757727882 127640589 314355948 47100190 1000000000000000000 834113663 86264751 232319060 574145134 1000000000000000000 491493051 451629428 216825844 255347894 1000000000000000000 665290897 149963311 463455731 610261262 1000000000000000000 386650509 232290647 287517977 200196636 1000000000000000000 784820976 264455672 431802929 396289793 1000000000000000000 146220388 13448762 76208789 10115421 1000000000000000000 9124433 2997460 7883418 6623102 1000000000000000000 190152958 64674258 35597374 73908057 1000000000000000000 306553449 103358588 81626060 6848803 1000000000000000000 962954740 654151467 354085573 508893380 1000000000000000000 128221973 114809218 62573562 40037049 1000000000000000000 185071864 81818909 129255471 62244760 1000000000000000000 339850802 131954198 184405255 283603284 1000000000000000000 892306002 836714683 21242846 343150896 1000000000000000000 37076636 6688368 9303405 31871888 1000000000000000000 799358347 277984366 375387474 739900981 1000000000000000000 268186558 265119627 112739118 30987581 1000000000000000000 381461616 77258634 94433217 239511198 1000000000000000000 689448881 12790058 537448489 111832519 1000000000000000000 354712182 337817171 84318655 103694018 1000000000000000000 963280110 387223316 115173527 349966287 1000000000000000000 190194268 29813135 3954276 140192770 1000000000000000000 844875382 769460768 700865475 97269378 1000000000000000000 158496055 64306694 32593334 34249963 1000000000000000000 123137510 67262206 33365598 45115726 1000000000000000000 964114825 597247996 952233421 872501998 1000000000000000000 203019306 62028091 76950726 183497381 1000000000000000000 57024585 39632419 54210505 35507799 1000000000000000000 750033622 521399920 532119564 101829831 1000000000000000000 719659872 302655495 569190210 427287000 1000000000000000000 987948191 569131365 580100097 487601893 1000000000000000000 899684770 858189433 828873978 239373919 1000000000000000000 28893733 971659 15345826 5389652 1000000000000000000 655865610 221366879 112742124 522504863 1000000000000000000 215200663 43283813 176975575 72722271 1000000000000000000 623272273 293867131 271069745 438826532 1000000000000000000 775008052 468778504 207213946 234470779 1000000000000000000 224238013 137112256 57971888 18751128 1000000000000000000 541502949 478264982 172263848 50422871 1000000000000000000 229534995 160023074 81998192 68035847 1000000000000000000 635934691 373751088 494477906 313342415 1000000000000000000 605259204 488410505 48529195 547387838 1000000000000000000 631849143 334305739 498739610 222090560 1000000000000000000 619078066 348361841 117862986 173807421 1000000000000000000 483671006 211336945 16623302 418940576 1000000000000000000 841156741 524789814 714792816 712803240 1000000000000000000 308426612 126628820 76495993 62440698 1000000000000000000 906708737 376961033 42004397 331034205 1000000000000000000 627486529 226225622 60889785 367626262 1000000000000000000 764570396 402757397 619768268 336395045 1000000000000000000 140235270 6701762 126319075 64976981 1000000000000000000 198156024 51595851 92203839 81596440 1000000000000000000 963254579 652767097 824367895 143012349 1000000000000000000 495137235 186709451 33967726 57558833 1000000000000000000 988695850 636076395 107655926 46668099 1000000000000000000 160821676 92487896 147094861 48536869 1000000000000000000 343314111 308502639 98005556 169289280 1000000000000000000 358859058 81908634 321103070 271888822 1000000000000000000 914102183 50897759 793750375 828109130 1000000000000000000 613137629 587394374 111279476 43492827 1000000000000000000 307339753 126265890 63297121 138562550 1000000000000000000 596454932 497530234 31429017 113331362 1000000000000000000 763899279 608133818 578518561 485662767 1000000000000000000 526344892 197696601 366662424 98499279 1000000000000000000 500083857 136830512 316030008 186065690 1000000000000000000 590268065 352162692 367594622 58672817 1000000000000000000 52376322 23182511 18495016 10775324 1000000000000000000 519715417 8458312 24547447 303239644 1000000000000000000 858490127 725726315 506788851 189056233 1000000000000000000 270053703 152227089 124479166 10675392 1000000000000000000 343794259 38155054 254820358 101680599 1000000000000000000 573247440 379113270 443973256 256245425 1000000000000000000 491628629 119157937 263155579 460848671 1000000000000000000 274310272 102498495 103971586 105994432 1000000000000000000 232092348 1532267 96110270 85490961 1000000000000000000 166487352 127175516 122678722 25773222 1000000000000000000 753444526 425656252 41283666 621854417 1000000000000000000 19097755 1993471 8933713 7752388 1000000000000000000 819781928 510590697 77653764 151782144 1000000000000000000 513142902 485815861 259515398 199661005 1000000000000000000 842903122 510924848 288422066 583010737 1000000000000000000 25691312 2017892 396620 23196824 1000000000000000000 295009156 38743479 129105247 216596903 1000000000000000000 679669985 275158681 270900790 470440775 1000000000000000000 237210208 191341776 140937718 126066225 1000000000000000000 906199819 398204049 876337051 76757004 1000000000000000000 995495570 332284339 79651080 618394494 1000000000000000000 803898112 469707529 262755460 261531841 1000000000000000000 743953316 19177153 531352886 15898035 1000000000000000000 686167510 683285824 659208819 127430934 1000000000000000000 871974941 54667508 416715989 499379329 1000000000000000000 684140713 516902541 635509004 367967752 1000000000000000000 142745358 54311798 62789181 108848954 1000000000000000000 780893153 149082899 394700877 473157294 1000000000000000000 40341309 10361565 947665 39965863 1000000000000000000 397847663 241116060 318853266 94543596 1000000000000000000 621410976 350985565 591349516 569098897 1000000000000000000 37338541 17351149 21852218 14591062 1000000000000000000 193051026 56544498 172516930 96157591 1000000000000000000 773006504 722537618 153810728 300858821 1000000000000000000 934397506 159666444 859410153 415742854 1000000000000000000 957463363 806630616 228646435 796157966 1000000000000000000 494857305 149178700 321677242 319868440 1000000000000000000 12678732 9931764 7926137 11029735 1000000000000000000 724596450 233383709 428474582 421758599 1000000000000000000 953603165 767499356 112910523 932124838 1000000000000000000 113551940 27574988 22145387 101798568 1000000000000000000 445380590 401461367 210510479 352663087 1000000000000000000 222095248 172057073 47736116 163385476 1000000000000000000 152439473 104981627 132976633 143356495 1000000000000000000 215713396 30573537 164003316 174014422 1000000000000000000 478925925 446063553 340819241 301724052 1000000000000000000 45815837 24327106 11472682 3774182 1000000000000000000 90639395 44570953 82481705 15188250 1000000000000000000 624215586 157405314 543444043 220916067 1000000000000000000 555886069 59348606 102078462 81682030 1000000000000000000 577031467 563846346 381036544 170574560 1000000000000000000 396130312 298678532 314096018 343870390 1000000000000000000 818217544 582970380 322502867 743149765 1000000000000000000 620855829 467231147 114963827 419883802 1000000000000000000 475265901 470321245 420857904 429902643 1000000000000000000 187967563 28586012 139039178 174940024 1000000000000000000 667112252 397280631 12142585 479713822 1000000000000000000 511188654 5667298 96568985 267487165 1000000000000000000 859297490 401932090 276112429 669490817 1000000000000000000 724736280 400312271 700433734 227053479 1000000000000000000 116217104 106820238 5318867 89808247 1000000000000000000 929191028 407256977 661988944 702134262 1000000000000000000 718890230 53104915 306305968 547293460 1000000000000000000 330479972 318150940 274655752 233561372 1000000000000000000 324832964 45420539 140646402 285781367 1000000000000000000 22857963 15190441 10883035 14305716 1000000000000000000 515091182 232143730 283354298 389934054 1000000000000000000 133822344 113340141 10854788 92734815 1000000000000000000 239376103 75380220 232896735 36837085 1000000000000000000 103388733 35908405 43445486 83080641 1000000000000000000 86857370 22928509 77030798 2901011 1000000000000000000 244315591 110368141 221312576 41623885 1000000000000000000 666660370 640165392 442127892 252399208 1000000000000000000 535902812 259600715 515706801 430267156 1000000000000000000 911039476 326998171 18038690 88614107 1000000000000000000 209167060 46835806 71238607 140872346 1000000000000000000 964666787 11003767 690198819 424500358 1000000000000000000 136871201 129482460 45940245 23541589 1000000000000000000 92137186 45873299 44519805 16940638 1000000000000000000 981092851 933417828 914920172 291138817 1000000000000000000 18345962 6117829 1858757 14897666 1000000000000000000 435336534 77442396 355049155 392334549 1000000000000000000 550817608 427652248 496666896 177449468 1000000000000000000 165071810 32465664 83151788 72510046 1000000000000000000 80728220 23062301 56631391 4009116 1000000000000000000 976208830 187208250 492655435 949548436 1000000000000000000 124619906 91195252 2592795 100094137 1000000000000000000 791081193 731858740 638193096 100420353 1000000000000000000 378150434 73496177 174202940 365421659 1000000000000000000 426826285 233281064 330910343 137741086 1000000000000000000 900125901 534182652 233069901 208283938 1000000000000000000 30635184 7659482 3284533 2080601 1000000000000000000 947113005 737260195 296174279 241008725 1000000000000000000 964282626 454533181 64245673 347761856 1000000000000000000 554790849 395013258 42666359 444164791 1000000000000000000 712400890 686829826 222623695 552833733 1000000000000000000 337818233 301968791 234608760 165820394 1000000000000000000 639096000 24355455 450050849 596059025 1000000000000000000 30259530 16888058 5842291 28214070 1000000000000000000 806668683 338755928 52861237 282587065 1000000000000000000 939234758 122058123 156042169 451360229 1000000000000000000 215435727 51756515 25965702 101090092 1000000000000000000 691881025 533397705 562088727 276414696 1000000000000000000 701472654 634337278 501850195 288533185 1000000000000000000 643977893 100649842 111906019 391003316 1000000000000000000 698672661 201070702 6716051 605470839 1000000000000000000 748988337 686388040 190787450 520311783 1000000000000000000 592186366 64555594 264202846 39777780 1000000000000000000 987549702 543708493 396509107 19778930 1000000000000000000 485586393 459788611 63834068 244210467 1000000000000000000 755558650 578237206 267959260 706754375 1000000000000000000 12086387 6897847 3586208 5911070 1000000000000000000 563691217 488645167 470780927 38290700 1000000000000000000 645731678 231261987 554648602 86721637 1000000000000000000 674257125 104985999 481478151 448767069 1000000000000000000 790908543 551982060 13190143 781973086 1000000000000000000 751849324 153663779 720557444 41662951 1000000000000000000 567444663 426233962 292569820 331661910 1000000000000000000 634145418 132846944 452710895 524478327 1000000000000000000 13998367 11351417 3398825 11234747 1000000000000000000 24852468 3904258 8191995 13560457 1000000000000000000 881107303 713134620 792030109 345362016 1000000000000000000 802212736 323526928 257814379 264665810 1000000000000000000 278210036 134639936 266859580 224377676 1000000000000000000 776391085 212091993 282670015 349896776 1000000000000000000 310232671 288572178 107710870 64206176 1000000000000000000 392407254 177790948 385776746 200236859 1000000000000000000 81345740 36396311 57416587 10078518 1000000000000000000 259819737 55969128 37969792 93948843 1000000000000000000 403119812 190740839 70015488 19170905 1000000000000000000 190904066 34244260 111092006 186484509 1000000000000000000 741085089 119053467 352779711 165906376 1000000000000000000 878569506 288042205 265002557 14663142 1000000000000000000 953638563 843046650 322759174 589334329 1000000000000000000 765065150 266766164 650651372 294825324 1000000000000000000 87716548 72159040 78414695 77030463 1000000000000000000 3896863 281497 220057 3654548 1000000000000000000 595849207 239705102 410712306 419658950 1000000000000000000 40834891 13217549 7700035 37212534 1000000000000000000 410717736 396411331 304364329 90640130 1000000000000000000 992194459 755566310 94511059 574307996 1000000000000000000 15553609 2506517 8779788 392326 1000000000000000000 497354480 173592046 179216357 451942480 1000000000000000000 335913 128449 136618 32201 1000000000000000000 338899124 278917330 11135731 310096525 1000000000000000000 214633715 59338386 146374831 186407975 1000000000000000000 930909238 7707440 545184361 735889060 1000000000000000000 825149860 537308673 506294723 419306746 1000000000000000000 646947866 526571858 248983016 359447402 1000000000000000000 591516871 183254255 470499114 467557356 1000000000000000000 498227891 310618047 271136494 180078964 1000000000000000000 318120700 220953377 233873832 171635951 1000000000000000000 663879973 255283196 278694550 617531054 1000000000000000000 300377327 138155719 96923435 140353347 1000000000000000000 725803395 648981740 492314863 560513490 1000000000000000000 566837926 210972083 474449245 138126132 1000000000000000000 310810976 95353273 117823351 106395602 1000000000000000000 276961561 27313452 138556442 178047144 1000000000000000000 972485564 855973419 423799022 522722194 1000000000000000000 986847505 352394343 723653441 836847203 1000000000000000000 813598906 164764673 475010274 560553539 1000000000000000000 218883660 115911888 135947158 126555221 1000000000000000000 486682098 230001182 218450872 171411153 1000000000000000000 706041251 333888242 389951797 394074906 1000000000000000000 550241275 464633800 86987665 531911189 1000000000000000000 188577523 23881137 99974973 129764004 1000000000000000000 916831397 808393083 171215771 214057347 1000000000000000000 132913612 22825298 92611450 7592833 1000000000000000000 928265844 912560787 787293247 674001566 1000000000000000000 425556168 313592107 258668424 149545711 1000000000000000000 178636217 57569125 57366194 56698459 1000000000000000000 76179985 8907654 20592316 66490414 1000000000000000000 138895205 5702323 99297220 84607773 1000000000000000000 76295171 1487824 28625081 31269179 1000000000000000000 225988754 152285573 224930721 96819791 1000000000000000000 55913841 49606696 43386079 18779321 1000000000000000000 788089449 714631403 731157282 361171301 1000000000000000000 750111302 24711810 719679143 396264901 1000000000000000000 974579231 543321700 346479423 11380337 1000000000000000000 197046244 156270699 45777 175551280 1000000000000000000 275887792 180367489 159224853 199788313 1000000000000000000 53189046 31899657 47841564 16710120 1000000000000000000 782834270 284947327 317401165 527665028 1000000000000000000 342205034 130982943 97609616 312542057 1000000000000000000 177923137 158565577 160393483 115325149 1000000000000000000 620932118 247227987 292094559 232697495 1000000000000000000 569504629 539462275 111865113 407756798 1000000000000000000 424128254 346011541 157899884 310653654 1000000000000000000 876825582 521688023 493013681 706102278 1000000000000000000 815871470 61607076 165865943 622115667 1000000000000000000 651895191 289554037 272887900 507388776 1000000000000000000 573451344 230906041 450653110 378133855 1000000000000000000 642814534 497368712 41114216 588023931 1000000000000000000 835553682 490463092 127638725 349430299 1000000000000000000 159153213 44619074 68622766 115186149 1000000000000000000 427246856 195086611 270746300 50488772 1000000000000000000 521411462 314634861 153780322 277397825 1000000000000000000 767576393 594099540 553279963 136780308 1000000000000000000 754431413 73998516 222650573 377634124 1000000000000000000 761170526 449995350 392797134 294665961 1000000000000000000 238404395 211193298 121011802 131573769 1000000000000000000 980703639 800048593 898497320 881694800 1000000000000000000 28105315 11002023 4868893 10468088 1000000000000000000 1273722 364522 711673 368399 1000000000000000000 923607793 428915807 624580279 166577702 1000000000000000000 767224903 525044065 129058439 248279705 1000000000000000000 634982302 250896899 379080856 77734830 1000000000000000000 343558146 261181589 273586338 132177095 1000000000000000000 822575300 142561108 622318779 184535786 1000000000000000000 145772249 97194935 37206706 133635088 1000000000000000000 241236537 41744797 17122360 163890547 1000000000000000000 63242982 58360799 25726961 26193943 1000000000000000000 174947535 102682284 20749586 36184914 1000000000000000000 765034821 370866890 740897478 194825343 1000000000000000000 635597729 425064478 562586010 472417817 1000000000000000000 607396124 460674273 583757013 13384719 1000000000000000000 642866488 403821586 164159100 230009945 1000000000000000000 31000535 24725417 19225585 21237153 1000000000000000000 800612086 222772129 434327538 296134810 1000000000000000000 331086228 107461876 182825993 153888375 1000000000000000000 691974893 201923300 453255319 417863757 1000000000000000000 744093166 733244300 596732309 598328114 1000000000000000000 403628835 299727670 250358564 189348877 1000000000000000000 558843105 516543548 413946030 314345234 1000000000000000000 634810928 291362351 437691478 187992123 1000000000000000000 179425445 37352761 124564421 97462928 1000000000000000000 306680640 172344436 214356852 149879652 1000000000000000000 964514105 910588367 125419385 791327548 1000000000000000000 439491314 373467494 328049021 30628578 1000000000000000000 417228486 183685542 316777286 211140679 1000000000000000000 795304260 525117272 422395505 164839400 1000000000000000000 707522408 255417294 353234314 101751252 1000000000000000000 840416690 338179879 139334353 4932929 1000000000000000000 281822317 233542178 64712598 163451050 1000000000000000000 854710618 3347074 352443148 611098876 1000000000000000000 74817852 54106453 54822632 51451711 1000000000000000000 119128069 98291411 61048418 6061245 1000000000000000000 263616296 133150445 100574997 200608058 1000000000000000000 275111185 59437436 65977361 44046440 1000000000000000000 768378946 57517790 256231757 526332544 1000000000000000000 525895824 444299987 112255677 354780814 1000000000000000000 465665411 437567247 454300417 72670325 1000000000000000000 210211809 200881669 104892291 133138351 1000000000000000000 331241653 170529794 163136333 298005179 1000000000000000000 865622400 517278624 400350922 849459314 1000000000000000000 960945976 685992391 164459906 312206041 1000000000000000000 914404526 468029858 186195846 793467956 1000000000000000000 402128550 296772149 108546221 18542737 1000000000000000000 587507971 214255244 332197493 282141064 1000000000000000000 7694767 4309935 6236721 6581419 1000000000000000000 546634911 407831815 103182156 181690566 1000000000000000000 528866912 136335723 62804796 171294569 1000000000000000000 243950505 79850854 107749161 113833424 1000000000000000000 598387047 502788730 186286383 303661265 1000000000000000000 973098195 341273355 408512306 847271408 1000000000000000000 767507551 187709526 176853119 61616055 1000000000000000000 72666262 56808343 3784288 53522260 1000000000000000000 280023447 15218821 143823011 88048333 1000000000000000000 447612347 11379236 93536460 110432533 1000000000000000000 611738383 380230134 456178359 454095802 1000000000000000000 375734205 110542070 159852426 374835670 1000000000000000000 858494738 787829261 153591397 388577885 1000000000000000000 885636543 446633595 93627936 63986062 1000000000000000000 444032329 122145308 383712032 89561035 1000000000000000000 533647590 332216503 371238590 481055587 1000000000000000000 957606022 278436353 76727753 702159539 1000000000000000000 987511085 159427298 502103875 762647204 1000000000000000000 833124048 729885582 480218204 188672556 1000000000000000000 497748679 343720658 220662767 127930755 1000000000000000000 467060843 185253844 76143504 435252912 1000000000000000000 89766930 80227226 85353266 11047207 1000000000000000000 331349533 175910310 10773237 165939708 1000000000000000000 462160261 201474280 398729165 178754503 1000000000000000000 178724257 111469167 57640763 43996331 1000000000000000000 238771820 224715512 209469044 123129363 1000000000000000000 292234350 187461884 189691033 155539436 1000000000000000000 273184697 103845272 175499910 123253036 1000000000000000000 322885933 153667807 229331467 156026203 1000000000000000000 517609539 306680276 136768225 325370508 1000000000000000000 330863698 255538259 198876019 141494987 1000000000000000000 655692016 551388277 366002358 142239664 1000000000000000000 598600890 126259937 475011472 310757421 1000000000000000000 968410905 26310513 490387234 122292613 1000000000000000000 151497442 72187613 80689758 40883457 1000000000000000000 501465694 266912290 311991719 18708040 1000000000000000000 160306638 23090302 131731877 36372315 1000000000000000000 505018817 364993310 174961384 479414534 1000000000000000000 597070140 501867964 12753606 408294814 1000000000000000000 713340423 322553147 174137889 438177898 1000000000000000000 814590750 272573209 733705361 438194600 1000000000000000000 583984785 150701745 45187138 166238595 1000000000000000000 697702923 648781932 81735737 41801296 1000000000000000000 30380347 15273352 24215827 7446283 1000000000000000000 433588558 219270212 432575622 291634130 1000000000000000000 786049646 753059671 420455858 583016405 1000000000000000000 867199890 654018299 640493 714380620 1000000000000000000 755210926 729146423 50831085 104943430 1000000000000000000 905566790 847118609 367842626 369196276 1000000000000000000 524188893 415775295 518229400 270423225 1000000000000000000 95376328 80345930 77577277 57552280 1000000000000000000 854832566 123004951 184239244 422845832 1000000000000000000 120566141 48090080 14996322 11290290 1000000000000000000 825021932 484414963 625479020 798510446 1000000000000000000 756191223 127180650 433517264 605584444 1000000000000000000 391277382 122901348 79178763 213370415 1000000000000000000 666306250 132101805 231048601 628338577 1000000000000000000 143559340 86078666 4257103 87214230 1000000000000000000 753825893 107769182 421105133 726086810 1000000000000000000 676991400 540278606 385307343 327659460 1000000000000000000 151629571 69105487 86321120 133772578 1000000000000000000 288264292 221267805 23656378 35422214 1000000000000000000 73696831 6289998 22493811 33138266 1000000000000000000 215570277 156769250 50914251 57975990 1000000000000000000 1516726 1406187 3296 1390366 1000000000000000000 951762469 230384965 240221905 632872868 1000000000000000000 273024010 205390144 125730425 184305156 1000000000000000000 974779159 530611489 618078987 968948389 1000000000000000000 280576754 230090084 104280059 33225937 1000000000000000000 940098735 181573880 413988182 136984922 1000000000000000000 256987942 106206952 228955193 148179901 1000000000000000000 967544219 858584199 944818226 471168485 1000000000000000000 973664754 460344884 872154535 418466970 1000000000000000000 252917246 106316961 131834684 206584414 1000000000000000000 102112922 20666148 4325509 82468743 1000000000000000000 76249076 31815174 76078020 10878779 1000000000000000000 834582011 422945634 605986771 413057602 1000000000000000000 56501633 22506746 39117289 40654499 1000000000000000000 274387740 114542673 258301321 174535726 1000000000000000000 438772568 306789512 28792968 318534648 1000000000000000000 830575110 769867052 154539718 432859987 1000000000000000000 100853247 21453595 6866178 17011402 1000000000000000000 92105900 66762083 6953354 72954504 1000000000000000000 303780269 175453728 232681149 244332465 1000000000000000000 324590002 53055412 259194781 158715087 1000000000000000000 29629457 27532065 5801883 22291394 1000000000000000000 995210724 722738784 807727729 280606460 1000000000000000000 4989062 1200561 1005253 4846432 1000000000000000000 443259657 178025483 212964851 162610501 1000000000000000000 300612467 61707288 56380487 168494560 1000000000000000000 395524871 144850060 174445312 319644226 1000000000000000000 92094032 60203291 1244855 36808223 1000000000000000000 948203097 190210260 711521786 17474692 1000000000000000000 211610274 150705282 143861315 45841463 1000000000000000000 23438667 786148 9335835 8829117 1000000000000000000 68881689 4488246 30901150 16882432 1000000000000000000 730944285 337677890 480965793 63398042 1000000000000000000 669610351 142442375 303456984 597795747 1000000000000000000 446052114 257070289 296548464 379718014 1000000000000000000 830793114 497198605 22150850 703467430 1000000000000000000 464780735 102072434 193961717 157842444 1000000000000000000 848546029 845098486 427284393 570083789 1000000000000000000 608006575 17173742 308723971 122095478 1000000000000000000 461853118 460261582 163692243 233120587 1000000000000000000 871142589 12883948 697150095 38593522 1000000000000000000 323169159 82875562 144140699 120054434 1000000000000000000 155576202 86252109 118191159 91766571 1000000000000000000 832770679 235583243 795340730 175484555 1000000000000000000 531095346 219755369 493707017 21084999 1000000000000000000 581450744 460006410 177786048 124142565 1000000000000000000 801707818 549375363 159790956 647261990 1000000000000000000 843175943 421960428 610799742 93455119 1000000000000000000 760894042 612342981 441089780 425922372 1000000000000000000 905417124 457463652 712956471 304263903 1000000000000000000 627436250 462162525 206089385 411060581 1000000000000000000 211258822 143358467 116966145 187698974 1000000000000000000 136104443 6023507 81165971 63137525 1000000000000000000 363367686 278929112 105894300 128162790 1000000000000000000 157101659 92002528 111888243 55890740 1000000000000000000 794148059 330844595 11183368 565392988 1000000000000000000 503217845 71235876 480581840 18439796 1000000000000000000 586542900 123037950 20473469 228057682 1000000000000000000 183056401 50808781 121791756 71322017 1000000000000000000 481810742 345242675 346882194 359210622 1000000000000000000 177738479 70799287 88138441 21285971 1000000000000000000 705798878 330380000 503166735 52296567 1000000000000000000 394764105 112369171 261059355 230858362 1000000000000000000 308033515 274109983 268247635 229328559 1000000000000000000 332251866 12665062 134236627 203821136 1000000000000000000 56810146 9829036 36936899 17509136 1000000000000000000 729567419 594943535 238752675 47016612 1000000000000000000 897300653 474925803 313367890 778018294 1000000000000000000 94427261 93505401 28915189 22604432 1000000000000000000 559611024 301655754 456933718 184250816 1000000000000000000 322703272 254598084 101407546 230807112 1000000000000000000 144675960 102582335 122771329 112252736 1000000000000000000 292213442 75597577 973620 16688060 1000000000000000000 235533040 75529069 35227934 12375837 1000000000000000000 614327709 381994252 122171259 76705235 1000000000000000000 205462661 170094661 2318663 145334777 1000000000000000000 88837781 74676089 20734211 57780384 1000000000000000000 906020310 440928760 893646599 170674269 1000000000000000000 806265911 371612745 398286439 165706174 1000000000000000000 745687994 529095198 96948888 651622929 1000000000000000000 495194860 44555333 435626185 479740439 1000000000000000000 779318632 349739437 589325185 360880730 1000000000000000000 963985047 150534481 951549743 542037456 1000000000000000000 967005553 473269785 138756587 385032976 1000000000000000000 494695189 128811496 33180674 145669597 1000000000000000000 197171065 44066596 165446946 31036910 1000000000000000000 500995189 228197254 350051105 109887706 1000000000000000000 306735076 58767508 306249063 86447157 1000000000000000000 305222532 50973394 197564015 34392911 1000000000000000000 792848709 45988310 357838019 714658975 1000000000000000000 967426119 642212054 621425297 660270008 1000000000000000000 950972268 945430434 878808668 831523361 1000000000000000000 841783919 809824057 269166819 670451976 1000000000000000000 584941152 578065647 128346375 339582829 1000000000000000000 382209950 222588464 376107443 275812524 1000000000000000000 929609439 508326422 380140559 561251397 1000000000000000000 667511954 35413067 148813279 156180143 1000000000000000000 454661253 413898083 265616138 377133652 1000000000000000000 610787900 554485136 484668702 402798061 1000000000000000000 92377285 77467515 9236808 672236 1000000000000000000 989064090 792968066 826473640 22441558 1000000000000000000 465682979 42180832 73239492 225549728 1000000000000000000 646795958 163950513 555502497 47907639 1000000000000000000 576974891 422887750 390260836 346027372 1000000000000000000 668083048 536815087 296249055 632830718 1000000000000000000 504424487 268751369 164282553 229438354 1000000000000000000 455308816 193260245 353935099 297190723 1000000000000000000 566584278 424375312 524350018 274857536 1000000000000000000 26688546 25523187 12993639 10333192 1000000000000000000 116653286 44782265 65779633 42787442 1000000000000000000 327621390 191972693 171949671 165054215 1000000000000000000 816816343 511025097 56630232 328512032 1000000000000000000 155541406 2329292 80797845 152125008 1000000000000000000 590636150 65167600 538090785 92345894 1000000000000000000 420226114 330874913 98375437 18472251 1000000000000000000 845156496 90967896 90341462 581282546 1000000000000000000 794872167 583335286 47880508 409590283 1000000000000000000 169294669 101840168 60238908 51267032 1000000000000000000 423083261 96558317 395901845 335651932 1000000000000000000 530103295 213102274 322288313 165695704 1000000000000000000 635052191 157529159 519398466 336380934 1000000000000000000 109880217 72581366 80365790 63751296 1000000000000000000 102675641 7084688 41420740 99123275 1000000000000000000 437577876 334866627 344690133 36349860 1000000000000000000 454730368 113060456 400240985 131671769 1000000000000000000 879238598 187480196 212262979 509886779 1000000000000000000 361915585 330282050 297802079 347008939 1000000000000000000 967091783 341341345 289324947 257443593 1000000000000000000 297745774 103166804 81898038 175217812 1000000000000000000 44545779 37441682 30114767 20151829 1000000000000000000 838671392 525264039 271664785 162841955 1000000000000000000 31939640 13595274 17230701 20374654 1000000000000000000 254229718 244761608 44986326 153495715 1000000000000000000 67735065 21495367 27731097 16795597 1000000000000000000 342866874 324742274 285134002 71761844 1000000000000000000 986839731 53675847 596452967 203582354 1000000000000000000 847479508 786345675 661350562 611962322 1000000000000000000 515506848 183443337 100311477 104615820 1000000000000000000 178562002 108057984 129550737 110435809 1000000000000000000 694612801 136865083 498927831 281180579 1000000000000000000 332731000 227301786 19016356 32757281 1000000000000000000 845359612 683638677 824228115 308402322 1000000000000000000 396131271 72781442 368579104 300733526 1000000000000000000 595033789 78954321 175305224 407291200 1000000000000000000 436912421 43312451 241330630 247711946 1000000000000000000 602956129 357790912 16500449 118019845 1000000000000000000 128618490 22351741 96769150 68832938 1000000000000000000 179868227 118736334 169950254 96416880 1000000000000000000 663300678 307870530 338456231 269933027 1000000000000000000 900543639 502346365 818612110 754464897 1000000000000000000 411173637 259134079 324088819 96616041 1000000000000000000 333112006 42582638 120972911 314412565 1000000000000000000 407728740 347581915 139790165 186704932 1000000000000000000 310956570 257078032 133370437 276131343 1000000000000000000 892898198 803432380 584875548 720329210 1000000000000000000 845517575 118393321 684903637 209155756 1000000000000000000 711893977 523998513 253024031 682108865 1000000000000000000 79623479 29141055 69448018 8450614 1000000000000000000 279816900 128394874 173400736 45411966 1000000000000000000 924500393 177367164 426807098 229363097 1000000000000000000 215776841 164996638 6531616 165264625 1000000000000000000 650435207 544489874 537033909 332200544 1000000000000000000 282063990 216867761 95255326 79309709 1000000000000000000 107893331 68599647 3935892 21195138 1000000000000000000 240255766 186304467 238094794 2905065 1000000000000000000 68550976 57959758 24949070 57875642 1000000000000000000 299623305 270653006 136775483 127427587 1000000000000000000 394782809 30964289 58703565 129097259 1000000000000000000 73079797 35275543 23358835 51757829 1000000000000000000 391901648 90926373 32347646 256071154 1000000000000000000 461936552 93288032 48397094 386668334 1000000000000000000 899538354 192800861 188758815 855809438 1000000000000000000 63316616 61946189 52861881 8748159 1000000000000000000 163747511 55823874 128243653 32759937 1000000000000000000 521163464 128495584 503753861 378496923 1000000000000000000 848218717 321158392 643177763 181133920 1000000000000000000 260205231 232871539 223532108 96371992 1000000000000000000 262801007 83239527 66620118 115264952 1000000000000000000 554820554 495642734 57681056 56840074 1000000000000000000 623334914 323951097 170369711 89082461 1000000000000000000 333618561 178704531 151595935 313227466 1000000000000000000 183271778 115653015 74024805 18977349 1000000000000000000 951463269 668805076 393198984 824419820 1000000000000000000 88764080 32154057 21669453 54638626 1000000000000000000 726339257 297298766 173884000 98137249 1000000000000000000 706920761 538001561 553060025 526758544 1000000000000000000 785484601 283675744 198314493 245271962 1000000000000000000 280717702 166082354 46547412 150445514 1000000000000000000 278646032 157316670 228389827 66814806 1000000000000000000 496429862 216482647 494810118 23112382 1000000000000000000 235631507 81689730 76134629 175436616 1000000000000000000 403277493 224302994 19361984 348793161 1000000000000000000 100000654 50221629 33784679 75671428 1000000000000000000 327122999 295312439 293144469 173793933 1000000000000000000 481617047 381278078 137637371 294161813 1000000000000000000 429311229 133448566 219701330 41632039 1000000000000000000 288497294 259219855 241625342 6108510 1000000000000000000 689563715 373794217 206278938 128680355 1000000000000000000 152833055 6212549 32188890 147430469 1000000000000000000 824609030 484390606 781728681 564098852 1000000000000000000 667216326 569094254 623635413 45099034 1000000000000000000 676715146 514884811 573021827 418942794 1000000000000000000 545488 101804 258998 157337 1000000000000000000 12667179 3506325 2415859 9422049 1000000000000000000 38968292 25094596 15399210 22142178 1000000000000000000 749515927 152452695 405972562 284641926 1000000000000000000 677720022 243892278 125755648 667182951 1000000000000000000 821475421 255733582 11784657 75421405 1000000000000000000 299101259 214172528 282659770 160102723 1000000000000000000 140807479 16103293 11282752 94335406 1000000000000000000 640608982 198697747 579967511 239110390 1000000000000000000 237312931 110151144 93053049 41187234 1000000000000000000 475061726 254870508 174518072 367239581 1000000000000000000 731859215 416462111 113437308 615601873 1000000000000000000 367995237 328655653 56539572 249728275 1000000000000000000 416188921 39786343 170614706 157937024 1000000000000000000 335001010 306327010 166886492 236446640 1000000000000000000 246158969 131305486 140991309 240469726 1000000000000000000 845959733 728660406 658499240 185945527 1000000000000000000 723470727 651511772 587789285 415174488 1000000000000000000 760890075 413817499 47805650 200765059 1000000000000000000 859524967 37173972 419951454 381075467 1000000000000000000 824973034 373335252 446749978 304347529 1000000000000000000 475402833 42993209 217328098 150419087 1000000000000000000 640352866 272283703 406254733 154157995 1000000000000000000 555172547 550356944 238184921 548760963 1000000000000000000 332313739 238907681 296405136 4006762 1000000000000000000 176222484 71482408 135814973 57471514 1000000000000000000 436365494 103721711 228650032 374112562 1000000000000000000 358264178 159347663 305876509 43494343 1000000000000000000 508093261 234109407 80538744 451573063 1000000000000000000 166446304 30186162 127982369 18695928 1000000000000000000 484841975 136594018 34066449 375116314 1000000000000000000 516087556 286079949 507659933 289795418 1000000000000000000 372341336 223848267 181182914 33134433 1000000000000000000 691785666 524782685 391985894 205513794 1000000000000000000 996428693 671632103 825823510 468394827 1000000000000000000 171225095 144541730 19717702 142006368 1000000000000000000 458485489 60248229 350349036 22382954 1000000000000000000 711970599 367982921 157898763 410591913 1000000000000000000 859018550 603761142 121370697 858060034 1000000000000000000 183794184 41239394 101142000 27147279 1000000000000000000 16450827 10725374 5592355 3053663 1000000000000000000 245300540 116159901 210470500 34059413 1000000000000000000 930199733 30180577 876266210 823951330 1000000000000000000 727202042 140679734 507832584 6603848 1000000000000000000 236971499 159065651 1158056 184939128 1000000000000000000 816022037 460598612 494450018 107609419 1000000000000000000 949076983 270366226 65990719 286637406 1000000000000000000 438154712 245791870 39072797 194090428 1000000000000000000 306719546 146115503 6523970 112835868 1000000000000000000 272008215 128604041 96004329 219076354 1000000000000000000 107699941 85412713 84766965 17721422 1000000000000000000 193014323 191827003 158841622 51238586 1000000000000000000 525843026 23951575 367637357 441488391 1000000000000000000 466574247 124811077 388807354 374373603 1000000000000000000 79618898 10508384 42224871 10026932 1000000000000000000 540131850 193249110 461380919 287839174 1000000000000000000 756433539 196643159 336283834 638462120 1000000000000000000 738284117 219420120 1967706 73484483 1000000000000000000 3014934 476465 2475306 1511007 1000000000000000000 155216794 123791269 125477058 48128246 1000000000000000000 54226490 951363 51138992 23872211 1000000000000000000 120469160 24320591 75876525 68086019 1000000000000000000 521088801 367771158 41735927 77832162 1000000000000000000 845011614 41182705 426798158 40787515 1000000000000000000 623803368 206341295 123175314 281628796 1000000000000000000 977324731 616355460 392897401 456596518 1000000000000000000 510512406 70397742 381570282 325330111 1000000000000000000 837969533 366991577 483752496 364667923 1000000000000000000 857007445 514525837 650745989 558157292 1000000000000000000 784031454 233995972 279702330 768675231 1000000000000000000 707439311 318715823 603807588 618454975 1000000000000000000 52628619 24498568 23462936 29350337 1000000000000000000 259520573 60251034 135577734 155471404 1000000000000000000 460227405 347396131 54220735 234629434 1000000000000000000 797331007 734412830 642660942 780417673 1000000000000000000 705861572 566095487 454265003 372415493 1000000000000000000 267407441 117496540 246862184 163778637 1000000000000000000 191321175 42340596 131280377 73378892 1000000000000000000 809862251 154082581 304082919 168076527 1000000000000000000 568606282 557056748 261063084 340812506 1000000000000000000 699753272 222246724 259970785 39351361 1000000000000000000 996401849 956755820 446299899 747642389 1000000000000000000 329729199 208902671 267259092 302060200 1000000000000000000 174980168 149780046 57846229 68683742 1000000000000000000 620483094 429556571 317735717 372856745 1000000000000000000 16731389 1707290 15588295 7068535 1000000000000000000 45239475 5618423 31773981 12489880 1000000000000000000 852795105 792792665 532743101 655559974 1000000000000000000 477603387 275871507 132690213 202617124 1000000000000000000 944977226 748352795 57080274 638998616 1000000000000000000 302870979 254969237 4413463 255910975 1000000000000000000 933404991 635234629 762569511 257870072 1000000000000000000 233065194 23528578 144193375 57603080 1000000000000000000 192651394 22652582 95412227 61417893 1000000000000000000 128087488 37214885 55517611 88366130 1000000000000000000 888922595 476690624 35812830 139436813 1000000000000000000 721200607 57844024 716212162 476547107 1000000000000000000 243734829 178493344 59998411 104002811 1000000000000000000 150401638 103056609 114981277 13542892 1000000000000000000 580817928 177569286 349218886 542674271 1000000000000000000 332467620 181993000 266599155 317024054 1000000000000000000 212849988 20598000 194785304 30912251 1000000000000000000 165434518 113383301 64989569 115427819 1000000000000000000 628064515 284652597 553721003 482094259 1000000000000000000 243241801 20992233 230555337 43613757 1000000000000000000 501274040 433307046 194450591 157698601 1000000000000000000 527956825 191705665 204486606 495490101 1000000000000000000 20456739 6322912 19226815 6620308 1000000000000000000 10411932 3793732 6024647 3904958 1000000000000000000 834189565 715828276 745974768 348233810 1000000000000000000 88699996 20352039 35309200 38644566 1000000000000000000 400212085 202531751 119718963 234423956 1000000000000000000 723921213 398072961 407439003 76641747 1000000000000000000 522548666 231159567 352531522 295333154 1000000000000000000 853000181 527130858 394716242 12991269 1000000000000000000 621447343 193961039 25937474 513990330 1000000000000000000 609687676 323942895 159803073 305158549 1000000000000000000 97679849 26368185 38391260 35631843 1000000000000000000 30096509 12130181 23669072 2366353 1000000000000000000 982187062 559502604 617585461 866039389 1000000000000000000 135895785 97046212 107865608 33547561 1000000000000000000 384147770 271726181 134215710 258096662 1000000000000000000 558987215 176596118 225090573 468159998 1000000000000000000 613198499 107515076 281262600 134025078 1000000000000000000 667141238 556048671 305054839 504360399 1000000000000000000 169602564 122615381 155821409 2109971 1000000000000000000 323311400 58043918 9626929 65114295 1000000000000000000 232716769 4529169 161207600 132906485 1000000000000000000 62378575 26656150 17680357 38801118 1000000000000000000 354079642 112314037 298011421 280969693 1000000000000000000 696465664 423338631 399212551 450641372 1000000000000000000 420914911 20333987 389665336 234950932 1000000000000000000 412993233 82347133 192976455 193111703 1000000000000000000 908861157 750146831 822837488 178468967 1000000000000000000 348056850 173380160 61456696 136235626 1000000000000000000 227561279 181938072 152774913 71498265 1000000000000000000 492778223 258864377 227496509 265348960 1000000000000000000 891345794 704441510 397987912 4184863 1000000000000000000 161224876 106641395 128109344 78603993 1000000000000000000 789337097 595382947 140012953 76280970 1000000000000000000 933087815 20291890 840355793 344962531 1000000000000000000 619021882 549299371 556527009 461285866 1000000000000000000 266046043 85735213 27670659 196102366 1000000000000000000 122343636 99413556 93938446 3388763 1000000000000000000 991185045 984994239 183950442 898100005 1000000000000000000 88447417 55952318 36983526 56768391 1000000000000000000 405507900 322226370 213006783 194149885 1000000000000000000 154465746 35788007 94295137 76161567 1000000000000000000 485899858 423681475 126401188 225932481 1000000000000000000 483680289 354888485 176085030 447520550 1000000000000000000 931053345 404827129 610264957 902001056 1000000000000000000 589332721 79537709 77456777 121017467 1000000000000000000 771794688 544278805 57003501 147609567 1000000000000000000 636450133 544882085 37197533 512711829 1000000000000000000 100538760 18808017 33183347 4380052 1000000000000000000 869761927 731942511 344519128 311311555 1000000000000000000 929489692 926432290 511461146 663517164 1000000000000000000 979896398 745971841 329692531 519025150 1000000000000000000 71167127 7978676 11122134 21174771 1000000000000000000 83650486 34756731 52740180 43954710 1000000000000000000 591857389 274265693 139404941 293487977 1000000000000000000 85180252 57179926 78052148 45930214 1000000000000000000 140260835 2008485 28718394 36950212 1000000000000000000 215692040 94318047 195407465 85404491 1000000000000000000 322541851 203363130 221881151 98945242 1000000000000000000 361447176 156172060 18763090 143804778 1000000000000000000 923947756 859729221 402286934 358420193 1000000000000000000 448988287 290197467 363823249 11308953 1000000000000000000 968214238 761839406 717292474 942154148 1000000000000000000 194042427 50606155 84840653 152022347 1000000000000000000 384453000 340374535 32708174 333436425 1000000000000000000 699089510 670885178 119054901 588003552 1000000000000000000 242910079 211351204 75134680 205678502 1000000000000000000 80652089 75771739 69150922 5569613 1000000000000000000 125519481 51560213 8914730 4947434 1000000000000000000 618192010 84514330 232391594 539222231 1000000000000000000 588721565 361873831 113674950 503887022 1000000000000000000 782889500 478351717 61013285 536124348 1000000000000000000 679353120 559874623 33119074 238273710 1000000000000000000 87012229 24218415 11660681 32366924 1000000000000000000 141574764 39550943 138369390 20644208 1000000000000000000 9465504 7267034 1479576 3676375 1000000000000000000 883529673 136914760 223410156 198336386 1000000000000000000 880372477 397402561 745346944 810293803 1000000000000000000 563296428 398596464 219436952 298980094 1000000000000000000 685412531 188660284 393759972 121031916 1000000000000000000 722560670 720467381 194032303 345519700 1000000000000000000 12007294 3471455 7939005 2438315 1000000000000000000 732647428 700565083 348948463 428036537 1000000000000000000 947840489 298917241 753702180 542795421 1000000000000000000 435042829 155032748 361436029 433694648 1000000000000000000 479030234 269806539 292424153 433108418 1000000000000000000 312618514 302968000 47062769 99189185 1000000000000000000 823518450 646862794 146546710 222936481 1000000000000000000 389563268 25147237 97975609 388187261 1000000000000000000 248802398 91911953 75076293 512373 1000000000000000000 631359716 610847823 563653858 249477640 1000000000000000000 302772597 177745561 54789649 157465323 1000000000000000000 475075856 394317071 359183701 216652290 1000000000000000000 621887895 578739718 305609777 195324812 1000000000000000000 691439778 515109185 467435209 567430310 1000000000000000000 327951537 311183414 254137722 211086552 1000000000000000000 140687903 47685993 23226850 38125273 1000000000000000000 178457969 36771618 135664570 163675906 1000000000000000000 225592765 174997934 192556074 168238661 1000000000000000000 4288046 1903074 4030681 810889 1000000000000000000 427934494 198651040 119475511 71516504 1000000000000000000 469015201 457173494 164790811 37337795 1000000000000000000 811776245 703055373 182913937 9243420 1000000000000000000 449686996 156939019 226550961 354427279 1000000000000000000 391266102 82336694 280155623 284085894 1000000000000000000 422990602 60807000 204231696 343231991 1000000000000000000 218833217 204306006 148744151 153798794 1000000000000000000 312223359 229701715 292592780 277259675 1000000000000000000 800041767 557737907 113902645 544805116 1000000000000000000 823381578 732738375 5357266 396331726 1000000000000000000 227480380 10246082 57084362 91956880 1000000000000000000 899812886 780271554 455810424 378556586 1000000000000000000 658127085 49805300 155045191 359620118 1000000000000000000 435559043 422335844 420004180 190673062 1000000000000000000 522835076 7417640 233223293 252229 1000000000000000000 871624145 215800700 859050665 536760103 1000000000000000000 991621002 402288401 321251295 829102757 1000000000000000000 391113994 285406395 57302248 353349132 1000000000000000000 815515618 762977495 487629639 611350971 1000000000000000000 283646188 248948533 233518581 222180528 1000000000000000000 780155596 284088284 519107742 181426656 1000000000000000000 952777409 469857340 622118580 339486365 1000000000000000000 881164588 342391229 371743540 819414906 1000000000000000000 24623097 13134180 7562415 9435494 1000000000000000000 902554971 376925233 40775588 164914629 1000000000000000000 217540833 87523280 117813306 77907791 1000000000000000000 299134661 69284042 292788276 163904876 1000000000000000000 234731024 170406831 163606156 213295169 1000000000000000000 136244542 95462273 6083298 66587196 1000000000000000000 790784877 17314984 187354344 2723142 1000000000000000000 961796420 380425188 416640497 500926757 1000000000000000000 269215799 258422058 100002313 254586513 1000000000000000000 551561961 63472456 431578924 112295450 1000000000000000000 678496953 53126183 172510937 457877417 1000000000000000000 177039985 34857514 124384655 28064106 1000000000000000000 857345116 445298716 752003321 417374062 1000000000000000000 950689049 625950561 238806509 903739064 1000000000000000000 382395131 172537962 77071456 28032145 1000000000000000000 205233719 90721601 140184412 78649230 1000000000000000000 655974958 538187252 477909106 123116624 1000000000000000000 808088749 243735101 182718873 43456147 1000000000000000000 907977174 563901408 787228072 339356160 1000000000000000000 770986637 687025711 286486167 229470743 1000000000000000000 424418102 226821598 276668960 415240902 1000000000000000000 836368275 535636643 438643730 483112051 1000000000000000000 759723628 126096352 293730382 459450475 1000000000000000000 499283162 403019088 4423662 486916284 1000000000000000000 420007036 167809500 385952973 82111069 1000000000000000000 850204605 766056561 443220656 93919545 1000000000000000000 839029332 223665365 199937093 535929970 1000000000000000000 569994515 455425552 418651564 59408494 1000000000000000000 549383183 228591762 112919805 92363194 1000000000000000000 425368633 401361278 46018346 288493041 1000000000000000000 891402724 484972834 759859072 338237000 1000000000000000000 328830695 136268526 130825309 12496316 1000000000000000000 610303685 573166398 216896429 536450615 1000000000000000000 251022297 61020664 119572132 176997497 1000000000000000000 282605103 62270762 213593659 145511240 1000000000000000000 466210744 351204088 84296114 93921337 1000000000000000000 31157424 21197975 11629608 29286095 1000000000000000000 665084287 290421531 323683560 264619717 1000000000000000000 58389217 47770655 15489216 54784292 1000000000000000000 458372306 383118238 428899788 40924618 1000000000000000000 862176332 198627190 45949319 347611554 1000000000000000000 947639825 543637136 75786879 354992063 1000000000000000000 182831495 36666376 77152175 145424329 1000000000000000000 879861498 460672480 562083249 435643365 1000000000000000000 312570305 230326743 10564770 286088820 1000000000000000000 906791762 173538218 490542629 139780435 1000000000000000000 32442745 13405137 28028223 25236219 1000000000000000000 880788085 414562493 832298259 285870196 1000000000000000000 618983225 173620368 394818044 483364697 1000000000000000000 859413317 646282640 83468066 850236694 1000000000000000000 819350158 455794021 21616386 639664307 1000000000000000000 605114112 345236264 522080016 134902705 1000000000000000000 318655657 15963878 317315393 307829334 1000000000000000000 648027088 439102552 491142603 592290195 1000000000000000000 141782939 131115053 48238046 78055656 1000000000000000000 686430578 207280133 590871829 293496805 1000000000000000000 555761349 469243505 37230623 162768136 1000000000000000000 687965294 379780776 187713676 580133679 1000000000000000000 915526899 868394212 270343299 38969404 1000000000000000000 772044815 716311514 705150598 681556396 1000000000000000000 526781949 175215951 390806287 435738799 1000000000000000000 788391852 497253174 43418028 311529481 1000000000000000000 952964170 4824981 698659236 81026276 1000000000000000000 304425123 108225672 273227250 207147901 1000000000000000000 726313989 688918451 637254566 410129161 1000000000000000000 810359738 365138635 715991936 808535503 1000000000000000000 378592236 364647682 233245186 103790493 1000000000000000000 404221919 128755865 316145086 305277301 1000000000000000000 54570886 25073917 51848511 36586295 1000000000000000000 120601666 44953869 44328189 55255913 1000000000000000000 444942427 194098220 204817790 283037242 1000000000000000000 807838121 268467082 315997696 209219665 1000000000000000000 416973172 295840516 397926537 220408710 1000000000000000000 311747573 275143613 23054668 246463840 1000000000000000000 4473891 3221749 2513314 3328037 1000000000000000000 42067629 3011183 3176364 29551772 1000000000000000000 382927054 325705046 51001746 313748572 1000000000000000000 718275434 600356189 645764182 391788858 1000000000000000000 560668860 50254678 184718517 378623598 1000000000000000000 46567648 21814520 4090048 43075612 1000000000000000000 521442420 383104769 342110752 89234885 1000000000000000000 761002612 591511911 518719192 33994063 1000000000000000000 22250386 6335928 21133793 12909286 1000000000000000000 39983164 7562546 17246139 285635 1000000000000000000 925481390 612555411 719892053 443194314 1000000000000000000 4280670 1887558 3948901 2521840 1000000000000000000 728257307 215687545 553115529 128753065 1000000000000000000 197891018 194744874 100199365 146996900 1000000000000000000 563492644 141773489 3652533 279784590 1000000000000000000 111383834 58522686 42329179 37785403 1000000000000000000 953472885 378439454 742214625 486043732 1000000000000000000 164330728 108203644 74111041 72871583 1000000000000000000 942425773 615663816 134925903 832430174 1000000000000000000 404930208 2665093 256718817 18624096 1000000000000000000 649462418 447653558 132094172 142082716 1000000000000000000 304434442 241728945 46735005 211491927 1000000000000000000 41543036 5495557 27264403 36452147 1000000000000000000 894627108 697180944 381282880 409816834 1000000000000000000 130604289 82223391 73267412 31788913 1000000000000000000 464675463 315935793 303502356 54685921 1000000000000000000 877953940 843916100 789878119 169783327 1000000000000000000 544361357 64868623 86321322 253428430 1000000000000000000 373092524 333151319 201738797 297463130 1000000000000000000 890230687 565675115 557353850 514327097 1000000000000000000 421095091 249637320 49722680 297927054 1000000000000000000 141037945 110444991 70619249 114142073 1000000000000000000 200111040 6136320 182753758 60189597 1000000000000000000 661636348 501637509 202465080 622435992 1000000000000000000 464901020 78453828 429592659 38159063 1000000000000000000 434831856 188482476 233841585 122864644 1000000000000000000 494292174 188119410 360319661 96581482 1000000000000000000 939016006 828807124 574481062 609039182 1000000000000000000 214608067 61397024 156561505 85632196 1000000000000000000 202909079 135717873 172308176 20403600 1000000000000000000 895410899 476798193 67031623 422770308 1000000000000000000 766799475 495170619 674095960 306363416 1000000000000000000 953774723 322487908 824560001 586025322 1000000000000000000 236721127 185063724 124760591 13430048 1000000000000000000 553184168 512432801 229313927 276757217 1000000000000000000 93534022 83218785 69282676 71757817 1000000000000000000 377310034 15032608 235213343 324397673 1000000000000000000 880496921 170949986 596205235 775850981 1000000000000000000 244258465 24271557 120570399 152538883 1000000000000000000 589175414 66951248 83582571 221753504 1000000000000000000 731622641 380530442 475135740 429965614 1000000000000000000 570612712 150960384 201845918 324786758 1000000000000000000 172889355 38294888 122328868 24782917 1000000000000000000 972438567 916114487 536115329 525144722 1000000000000000000 532433298 447449302 202146056 524320194 1000000000000000000 670687651 3048788 464476722 349865030 1000000000000000000 250907334 229645566 84619284 157702904 1000000000000000000 139032040 25684338 116392113 36104010 1000000000000000000 704918128 352859368 314060610 510482641 1000000000000000000 975639853 778777202 462214695 653381823 1000000000000000000 515184038 148600789 133758036 451305572 1000000000000000000 694826758 369682239 684474074 270218041 1000000000000000000 456109046 325309936 125667951 269841943 1000000000000000000 411448785 189467799 219675925 43943772 1000000000000000000 225282094 9231312 136824873 156880129 1000000000000000000 92415287 3388939 19836234 25815398 1000000000000000000 358754862 188918447 161752047 20503334 1000000000000000000 720716915 31575490 267614110 60408637 1000000000000000000 379128522 72425321 354750479 351869708 1000000000000000000 8882232 4877028 8331164 3883831 1000000000000000000 549684083 201262840 358787676 498101125 1000000000000000000 146444379 143606600 17917119 39426291 1000000000000000000 132483950 30126628 3476971 63882505 1000000000000000000 592409625 430752930 214360128 243147329 1000000000000000000 870779944 206355173 633530726 284978689 1000000000000000000 902407568 499921218 475795819 708795983 1000000000000000000 446593444 389433174 101650349 257817336 1000000000000000000 987043688 778691718 686429752 641213782 1000000000000000000 151434657 38119964 122127634 115876296 1000000000000000000 214061229 165343755 70230571 10486486 1000000000000000000 180718759 77583452 135736397 52309722 1000000000000000000 255707433 122061458 109444890 47376792 1000000000000000000 890604257 846779814 469369743 285621270 1000000000000000000 243518459 169719016 166602321 123968519 1000000000000000000 979213307 69526416 519447881 187097857 1000000000000000000 671421254 608022922 448795842 309426901 1000000000000000000 615702909 123693031 317022306 41253398 1000000000000000000 763221407 642871722 158209717 377694583 1000000000000000000 943047479 581860608 337799669 620776781 1000000000000000000 455394346 342057890 119792334 244047606 1000000000000000000 504128230 128878980 408009528 270614939 1000000000000000000 631294657 23448652 358008617 310845072 1000000000000000000 604259420 508189862 39860078 412687325 1000000000000000000 426111724 72817588 196942674 332917007 1000000000000000000 197660183 166999044 154900466 20676836 1000000000000000000 486178433 34865862 255433898 175369260 1000000000000000000 921001712 311260000 271211224 697670737 1000000000000000000 93814067 23282631 53711373 85731562 1000000000000000000 513803207 280793102 410994141 214910215 1000000000000000000 186668139 6658107 56940321 54145636 1000000000000000000 608216404 29697379 93817907 283528328 1000000000000000000 317909501 222207309 65509154 285322684 1000000000000000000 885362159 355136809 136047679 504755867 1000000000000000000 141018176 135934969 140518540 95372684 1000000000000000000 124285527 105561486 25425145 86119202 1000000000000000000 474549317 103918886 69622466 109159514 1000000000000000000 468467311 167235213 69702015 83103151 1000000000000000000 393126830 191411664 171980699 72436187 1000000000000000000 596621294 90268866 350028088 360162603 1000000000000000000 930820583 868584763 708245865 141046880 1000000000000000000 615690715 73363699 21966748 419945410 1000000000000000000 369291259 1317707 193819557 146139579 1000000000000000000 662950868 166325137 326378303 113248426 1000000000000000000 611385887 605715783 317685476 563166202 1000000000000000000 882344076 266959804 687059664 589264210 1000000000000000000 924831157 599647263 627241064 276417783 1000000000000000000 618706584 613368459 129896087 562437357 1000000000000000000 616492302 607686922 172406022 94474339 1000000000000000000 775230506 273537864 747913330 164903647 1000000000000000000 530366389 42731403 487681929 211051179 1000000000000000000 497734854 18720706 233564131 419741646 1000000000000000000 185129819 37491808 12218338 13913297 1000000000000000000 111023618 110366600 33307229 52447493 1000000000000000000 298205570 278309152 131000027 157705777 1000000000000000000 507959535 245101502 228341956 272507532 1000000000000000000 675154092 663639247 555241709 27629730 1000000000000000000 253226747 18274913 31771267 179412437 1000000000000000000 170260084 24645959 130334346 13822851 1000000000000000000 941449571 680127687 206478927 824700342 1000000000000000000 666013868 280926938 452229130 314679348 1000000000000000000 603268481 442719530 526161888 509941283 1000000000000000000 34413651 6016509 34003959 23673142 1000000000000000000 109225570 45055886 17833692 23076779 1000000000000000000 966524619 465851859 317664097 123011839 1000000000000000000 894575806 303058754 262215826 273704529 1000000000000000000 140021569 57323345 53507070 31996602 1000000000000000000 709273041 418607497 59998457 578437045 1000000000000000000 578119756 388631837 384019170 155445612 1000000000000000000 19828762 8539936 3872563 13260415 1000000000000000000 267311021 52563391 100270594 98774375 1000000000000000000 299987786 71167163 111877877 73543222 1000000000000000000 628553812 623335628 371140326 507688551 1000000000000000000 420799770 262920918 354323891 255535528 1000000000000000000 214169836 177200366 137219124 403963 1000000000000000000 536200127 203214888 319155496 64104493 1000000000000000000 728492332 643304095 344022644 710626560 1000000000000000000 907951112 456238752 872061178 33049466 1000000000000000000 506790786 393970522 288018686 32495018 1000000000000000000 146010872 22194322 27820519 3880757 1000000000000000000 820313204 152023488 231661905 448966967 1000000000000000000 700726824 380486020 572143539 359326757 1000000000000000000 473783974 142783020 276869492 391133426 1000000000000000000 937352559 880006505 258932676 850010646 1000000000000000000 599297680 521758400 449157707 368609399 1000000000000000000 106770772 6138417 24784477 58305223 1000000000000000000 134079359 119645215 106473920 113730358 1000000000000000000 504164832 455344965 446259116 468947875 1000000000000000000 109559416 48145470 83427140 68124305 1000000000000000000 758004062 606875476 195417345 757871191 1000000000000000000 29102585 6537065 12989763 5341457 1000000000000000000 638872270 86745132 408182315 354701892 1000000000000000000 95412402 58480424 90802314 44856215 1000000000000000000 465459186 165451965 190506983 270208872 1000000000000000000 158393526 25514705 62111754 106626581 1000000000000000000 693998677 72939169 81459825 490876562 1000000000000000000 256083108 2565040 185491665 147936663 1000000000000000000 582124472 341956428 458562371 177619956 1000000000000000000 708517149 410999340 216648765 153446073 1000000000000000000 97099481 16776176 39570562 76588030 1000000000000000000 435730717 231145739 325083744 198512392 1000000000000000000 399925394 266756422 218359114 86508685 1000000000000000000 423957345 227407746 141024649 51068385 1000000000000000000 760256213 352511864 583511733 456662106 1000000000000000000 873107285 87691228 206546001 312415783 1000000000000000000 912431911 541748300 211498563 576650768 1000000000000000000 719908715 600560172 539645270 177499349 1000000000000000000 55499870 18284485 21820880 15032637 1000000000000000000 147835067 21878885 42144483 87167400 1000000000000000000 229458100 167642779 165423729 203677895 1000000000000000000 733085993 14146896 515765046 74518797 1000000000000000000 18415889 8292709 5895363 12311820 1000000000000000000 618260637 534807107 224564179 18028023 1000000000000000000 149063104 29901657 7902304 105512840 1000000000000000000 377330501 323742430 9505149 167515990 1000000000000000000 462972324 444392588 76586747 242652349 1000000000000000000 772745632 346765284 447933220 252831419 1000000000000000000 427524014 43644759 206507936 105760803 1000000000000000000 727973496 717198154 505364319 268582800 1000000000000000000 729713002 304957247 168339197 98002191 1000000000000000000 295303107 128971118 160179813 109883576 1000000000000000000 663922456 144672381 222532173 491229825 1000000000000000000 185047736 19898032 147104499 97643611 1000000000000000000 119859703 66799321 62290931 8831773 1000000000000000000 733557097 33624237 134871690 578285312 1000000000000000000 80196410 28186620 15833457 15756289 1000000000000000000 399529477 84208167 76638446 267466964 1000000000000000000 726633750 62797691 381599504 407225689 1000000000000000000 444228891 367526269 383285770 348749462 1000000000000000000 308247031 287884309 30970085 154575670 1000000000000000000 544155140 513778728 300298593 104108082 1000000000000000000 765190045 540254828 294464269 136378650 1000000000000000000 750207232 543920602 15299920 660128145 1000000000000000000 121135692 71894187 94248928 111220589 1000000000000000000 403544784 60155218 134862212 45068046 1000000000000000000 662688933 71539811 414234320 214463370 1000000000000000000 282553279 88652659 177260902 224408653 1000000000000000000 302580229 36640760 293234953 134647394 1000000000000000000 739881779 520394378 511523700 238376719 1000000000000000000 47916508 19903305 35589423 11484779 1000000000000000000 76242451 4121717 28931997 61223371 1000000000000000000 612589767 598235387 431814991 180105974 1000000000000000000 406544154 18461556 388296798 21426313 1000000000000000000 685793989 106348989 168865945 48765648 1000000000000000000 160887086 113086116 145300773 114522260 1000000000000000000 751025134 403380209 316595695 595264510 1000000000000000000 975139723 668901209 836559232 541485664 1000000000000000000 265355905 181897186 234102620 81566644 1000000000000000000 846374272 201249501 817813793 558784676 1000000000000000000 774490910 541949739 468075058 483407285 1000000000000000000 280165358 253208304 244803705 9219484 1000000000000000000 851026784 300445176 556907905 769722842 1000000000000000000 321913274 95315087 254767327 98066741 1000000000000000000 132088538 85310504 90297975 36900534 1000000000000000000 954451880 159314762 660986236 111195129 1000000000000000000 50397089 17820066 32890468 9332742 1000000000000000000 706425169 624196863 239998167 597176574 1000000000000000000 928552222 528363027 660654622 674339732 1000000000000000000 562848973 426952813 511152456 138145675 1000000000000000000 847843005 636023834 5577899 30509039 1000000000000000000 933258236 325499157 932773462 565946431 1000000000000000000 350735533 275477524 341449475 24035454 1000000000000000000 535995114 515537183 366501741 407983677 1000000000000000000 284822332 169738963 113455130 183323011 1000000000000000000 906376335 763867769 334790842 497103949 1000000000000000000 376055149 238712267 225199467 193648391 1000000000000000000 479558700 293557279 137892088 173477067 1000000000000000000 484293430 42928498 241838497 203768564 1000000000000000000 444793410 444313310 89011754 4927918 1000000000000000000 806530390 200005179 15313119 368686351 1000000000000000000 816379081 337296831 543248572 322948033 1000000000000000000 925926289 782727120 147320357 893712862 1000000000000000000 544560623 395095388 480537732 352005153 1000000000000000000 233536222 156913629 61714150 108568897 1000000000000000000 794949401 572684431 83205790 688977353 1000000000000000000 319206351 195063847 188920385 108076295 1000000000000000000 456820458 425174216 455000716 335088152 1000000000000000000 577674368 2357329 313580966 342177531 1000000000000000000 103671154 41397902 56288343 10460856 1000000000000000000 635805830 347645290 463251656 203361916 1000000000000000000 469905374 219403110 316545190 263502680 1000000000000000000 834999074 30686209 808384865 407989949 1000000000000000000 555005241 188514640 127690612 284029152 1000000000000000000 356535914 43424896 95475996 47596271 1000000000000000000 964715798 135116748 50229509 740622992 1000000000000000000 712654405 402228671 463660115 25756990 1000000000000000000 661867326 196890579 446084810 421096497 1000000000000000000 186977856 95894543 176721768 51040671 1000000000000000000 265667290 23433423 86361301 116158861 1000000000000000000 121324532 18650481 29024370 12875447 1000000000000000000 128467312 55082370 78824559 84423885 1000000000000000000 545561324 28063222 113978879 471799139 1000000000000000000 64131701 61559408 53489613 38657132 1000000000000000000 457919556 85131971 436707940 50044812 1000000000000000000 475488075 261989387 249720281 233660585 1000000000000000000 223652342 155793062 79782764 103157327 1000000000000000000 850019585 258428110 500319422 247926856 1000000000000000000 797103334 748809147 74758763 255133707 1000000000000000000 777836296 579862569 493955152 44095837 1000000000000000000 552644041 299503033 419878359 317425593 1000000000000000000 657839563 47244351 580608615 535953476 1000000000000000000 252121373 186431115 63978173 197415734 1000000000000000000 848689300 614363251 205087830 464922124 1000000000000000000 871531862 86145703 757822896 758244781 1000000000000000000 442901740 284240313 163936548 87135805 1000000000000000000 832703309 431071198 325674656 630998638 1000000000000000000 21781904 1874668 16806026 16856964 1000000000000000000 750379239 401580694 322218572 309600267 1000000000000000000 48273923 2809896 39634645 2306151 1000000000000000000 394117607 97045402 337355164 383695834 1000000000000000000 963974484 329180300 568583597 208359443 1000000000000000000 892264906 717911185 591266478 416149899 1000000000000000000 654080907 516119822 453792302 546198880 1000000000000000000 905623 163940 726271 802977 1000000000000000000 730570032 76923698 406694326 512774107 1000000000000000000 849942410 697837355 211465175 757254118 1000000000000000000 325095942 88457329 226024154 283406904 1000000000000000000 104424704 58362669 43888483 7001851 1000000000000000000 567843866 192288009 535029347 538528593 1000000000000000000 864816885 453584969 824992491 651941010 1000000000000000000 437363915 174871573 433116797 103450737 1000000000000000000 385660332 310508734 131033943 157129718 1000000000000000000 618753402 253222843 273316448 251594157 1000000000000000000 842354836 133550146 365663565 393054306 1000000000000000000 552658380 330993325 447636263 203465714 1000000000000000000 516748661 138340501 297862810 328271297 1000000000000000000 327870264 239530850 184458042 214335083 1000000000000000000 165040619 22550909 1768464 45872960 1000000000000000000 107199196 55017434 81761977 43573496 1000000000000000000 189377442 56728619 127634448 139954535 1000000000000000000 180794653 149369280 180764843 18579075 1000000000000000000 221503794 23440301 136507607 177684854 1000000000000000000 50861369 38171577 45947856 34158118 1000000000000000000 236041171 17068916 182683896 73648477 1000000000000000000 364493552 69122652 276943653 36278356 1000000000000000000 279030550 170816931 263072645 178189228 1000000000000000000 485395738 276416241 290026676 267772495 1000000000000000000 187847097 20154484 130679122 100417831 1000000000000000000 72167237 50707070 52064821 47034090 1000000000000000000 762423944 388677782 419838249 312054970 1000000000000000000 515405273 51722983 294005755 466121680 1000000000000000000 388113196 61450313 336336896 6099610 1000000000000000000 35047003 10018596 5848001 27243151 1000000000000000000 849905352 468240240 810510516 56416412 1000000000000000000 803365919 387190724 387951062 799819662 1000000000000000000 19055516 7961102 2158898 1372801 1000000000000000000 908747936 847875050 544733872 293216703 1000000000000000000 913250998 906819357 477224481 751481599 1000000000000000000 14614902 1019786 12813523 10060405 1000000000000000000 846512572 89248640 316329613 122030507 1000000000000000000 494111616 464443361 35399973 389631563 1000000000000000000 720507336 289732991 104399347 494945219 1000000000000000000 607712521 298579879 296902037 493456653 1000000000000000000 986907845 840501533 167121204 132321632 1000000000000000000 949573437 207885261 920864053 500966854 1000000000000000000 133175836 80872499 14984495 17551180 1000000000000000000 57559025 11842 42747133 28975606 1000000000000000000 921660182 39275245 427802044 294528311 1000000000000000000 466606720 338317477 223714900 352855250 1000000000000000000 393758811 302480428 338360628 231104676 1000000000000000000 222144291 95151816 201603482 163645329 1000000000000000000 797798736 148901312 697563714 599826153 1000000000000000000 188759131 13026382 159537940 94511711 1000000000000000000 128841461 109764507 8604844 38349027 1000000000000000000 933727866 59960185 17301528 726071994 1000000000000000000 713761393 23305476 566309830 467647111 1000000000000000000 797208566 664012058 12234801 174296620 1000000000000000000 782835215 559635549 433071338 345145817 1000000000000000000 618553722 94094809 325976096 272162042 1000000000000000000 838432704 22877527 608249269 110228772 1000000000000000000 118844555 60593946 67708258 34589281 1000000000000000000 389051444 128599113 242138453 163483194 1000000000000000000 778711606 697528117 631787053 432755205 1000000000000000000 49023549 30613116 44553259 39901778 1000000000000000000 197426419 147690957 129917667 167200382 1000000000000000000 778229184 260657709 41544263 434389811 1000000000000000000 130261299 68331616 40602499 114677321 1000000000000000000 171150754 113675224 134015966 54997107 1000000000000000000 737875965 202125403 372613202 736254851 1000000000000000000 677377579 164499026 242501334 402715137 1000000000000000000 736449692 52496321 279435417 439102958 1000000000000000000 452763874 42792537 434100205 7283823 1000000000000000000 18528975 15624193 16721873 8370507 1000000000000000000 329102223 203213398 220210238 202932904 1000000000000000000 781044660 222105678 549894675 525467001 1000000000000000000 115108432 6343936 50704816 14286424 1000000000000000000 577457211 255130661 144741605 413010957 1000000000000000000 425755718 196361417 84736783 403555120 1000000000000000000 631729053 335469447 289049194 551431228 1000000000000000000 832596284 268073799 472154289 362316069 1000000000000000000 987684714 626088394 140164265 280611221 1000000000000000000 288430962 205271351 180716219 281924317 1000000000000000000 807577903 411038851 409864764 654012081 1000000000000000000 920620651 149105965 12118406 722931381 1000000000000000000 408176624 203389591 65221636 377151518 1000000000000000000 196831560 87939524 27565206 141841173 1000000000000000000 783630748 443427428 252301188 278603661 1000000000000000000 36487515 20003343 12941459 3466454 1000000000000000000 876725963 127726566 94339702 685954479 1000000000000000000 837212114 635162261 760250651 665088376 1000000000000000000 124691326 108087736 92121307 111469225 1000000000000000000 476373575 261393164 77917984 55584438 1000000000000000000 762559525 272437486 554288564 463662952 1000000000000000000 398538294 312092961 38514095 33940889 1000000000000000000 966307110 399951715 292249407 885598509 1000000000000000000 505682065 410814324 438077783 389339192 1000000000000000000 770141112 442933456 700708580 358687850 1000000000000000000 914556967 334663646 68971438 357852923 1000000000000000000 715827512 570862788 599279261 89771761 1000000000000000000 853488239 487289886 651572530 149362305 1000000000000000000 670756989 469089889 396305860 380374727 1000000000000000000 974197574 76552318 185426371 523470432 1000000000000000000 487133819 472337228 425890591 18779408 1000000000000000000 115087882 88862976 46315241 49256084 1000000000000000000 635625699 532626481 381772356 58909740 1000000000000000000 857752772 391482711 176421557 565727126 1000000000000000000 243661051 235627460 5314372 208602463 1000000000000000000 793471983 7862781 710365289 159122684 1000000000000000000 725546957 345952989 622852098 553103144 1000000000000000000 317031488 96884064 117568510 151271704 1000000000000000000 776812907 191933283 687432845 609632952 1000000000000000000 585069356 580896314 452346448 431378430 1000000000000000000 930680554 241698764 499912295 819439614 1000000000000000000 712272777 638828674 19342582 331538223 1000000000000000000 982603230 837274670 341371461 968858185 1000000000000000000 553937744 71269784 111848881 527340765 1000000000000000000 731484765 451312286 161919284 544497336 1000000000000000000 295689445 16723072 92003307 161727940 1000000000000000000 295411362 237257898 63633953 130032592 1000000000000000000 812487278 723799553 573273855 264494066 1000000000000000000 197475372 106887101 93998424 106387868 1000000000000000000 902099480 412403561 416309131 732517829 1000000000000000000 260488295 11368796 246593142 101249851 1000000000000000000 242700791 63641269 32820331 38186378 1000000000000000000 893392743 517521183 10666661 257454700 1000000000000000000 833334231 293052488 804142327 719142623 1000000000000000000 492070912 84362581 143403504 306697497 1000000000000000000 598591615 23787006 455133854 346814425 1000000000000000000 493086014 184067825 330250695 93634079 1000000000000000000 323654219 123183510 7557753 131414175 1000000000000000000 130620075 27037290 90453151 55132435 1000000000000000000 448484929 330410398 314571202 19226923 1000000000000000000 296577280 179254457 140689670 165233473 1000000000000000000 245021321 145752443 106178458 1498691 1000000000000000000 216145012 126725876 121395863 177755624 1000000000000000000 926226098 67109738 888345083 844479870 1000000000000000000 830503395 573703068 141166961 494087457 1000000000000000000 117102772 60961093 92274109 74864110 1000000000000000000 388209740 193202141 205572027 5060972 1000000000000000000 601033737 241587087 263804139 247632684 1000000000000000000 249173120 222742143 190657599 240867827 1000000000000000000 823473302 156356753 483894096 278438856 1000000000000000000 707170491 291734819 379929052 215003870 1000000000000000000 178375272 132031026 154832763 86615320 1000000000000000000 51743400 45582711 10966064 3407423 1000000000000000000 724073699 37617849 81979685 545013381 1000000000000000000 307932532 141000421 303392944 186970077 1000000000000000000 428635944 293942834 36796750 141678837 1000000000000000000 590881614 317772173 578186701 239067207 1000000000000000000 339443276 300345379 59090492 50272443 1000000000000000000 446331805 22437584 11972343 162502337 1000000000000000000 442450938 197316611 345243871 247326672 1000000000000000000 396591616 374487397 331885703 213360764 1000000000000000000 118617347 69451674 98389185 17513994 1000000000000000000 815922221 270617684 410722418 694562261 1000000000000000000 688910809 132476735 437911658 95131422 1000000000000000000 907579174 483284174 89256928 76431767 1000000000000000000 548602425 148118097 221726751 493972042 1000000000000000000 567433830 516921183 349399476 402860715 1000000000000000000 180841212 98412520 172220400 155993328 1000000000000000000 442925379 98263686 391493833 398736470 1000000000000000000 333072305 128441075 117453132 2120246 1000000000000000000 915475426 416335108 423690703 425948412 1000000000000000000 242282609 203544035 169684502 66359551 1000000000000000000 640121180 639085041 137389756 504822977 1000000000000000000 927085974 824300503 527861824 88324994 1000000000000000000 636906629 44423889 213243556 190645461 1000000000000000000 791407668 325215123 434173393 750161461 1000000000000000000 415000425 52539822 53919277 54836502 1000000000000000000 334272377 247919203 333134519 52346343 1000000000000000000 520440151 86596726 98125756 277924114 1000000000000000000 650782796 519183252 647559829 497192705 1000000000000000000 793852070 663697491 272219654 19315376 1000000000000000000 822150732 752531897 737602782 703237121 1000000000000000000 417828278 130391894 52160199 224529411 1000000000000000000 27773072 1307410 20034898 17762021 1000000000000000000 931265985 309991779 643979824 309511432 1000000000000000000 157934773 105818078 139331644 48512672 1000000000000000000 206149270 94812979 86022067 59691168 1000000000000000000 780196353 686906071 122569116 197878367 1000000000000000000 934752165 261319974 306295049 636773079 1000000000000000000 803670141 722928864 749245101 15842714 1000000000000000000 984288187 707047026 300815736 907151356 1000000000000000000 174065619 116571847 119027734 40407855 1000000000000000000 975747532 163813710 712386638 316107956 1000000000000000000 850377169 396157819 706139507 669174393 1000000000000000000 574660939 558241693 569370615 273801738 1000000000000000000 321455094 129441432 265623341 144080328 1000000000000000000 371343242 28676959 356820737 148289956 1000000000000000000 392088677 203902626 259290308 302378655 1000000000000000000 292902975 222156947 154067500 165507718 1000000000000000000 504597918 386125265 17209111 418307495 1000000000000000000 158387621 61153996 103320892 20374853 1000000000000000000 646544534 193216421 442505463 452658127 1000000000000000000 981379592 783021578 168560688 417354110 1000000000000000000 754963431 424478075 600642355 235140003 1000000000000000000 448243673 325702403 342101698 335195211 1000000000000000000 477129009 231000617 20095920 108726442 1000000000000000000 9968216 1268234 4776178 4418345 1000000000000000000 557891576 446766850 111496459 506521337 1000000000000000000 154576756 6310117 118960796 47326718 1000000000000000000 440398046 86320893 205336249 400919089 1000000000000000000 716284127 579818794 312285583 419300195 1000000000000000000 713254960 649691581 673988762 114401628 1000000000000000000 734762376 705343484 525490857 339122281 1000000000000000000 236551345 234800743 218881752 83607419 1000000000000000000 772823907 427327019 102013297 544898897 1000000000000000000 446748840 427823750 46898069 122482167 1000000000000000000 503295485 156045831 465769711 207112163 1000000000000000000 319171949 113788317 300581858 256674665 1000000000000000000 185954931 139179482 154200213 92729979 1000000000000000000 12530342 8064605 2120439 4806831 1000000000000000000 177341349 103870061 127243247 65252488 1000000000000000000 14513986 5665366 5009103 2313885 1000000000000000000 132843323 1862653 5225254 77489592 1000000000000000000 843998258 532900633 793213961 19183101 1000000000000000000 28058144 11190186 27257128 21172552 1000000000000000000 515287363 134691135 380783231 188035554 1000000000000000000 636850681 364384173 590457980 349714306 1000000000000000000 252198456 192942892 14224634 252083173 1000000000000000000 591507305 503282370 223639595 181931343 1000000000000000000 559612460 429768125 316177136 149398663 1000000000000000000 902702058 889389735 70300035 580444921 1000000000000000000 303502066 33595435 301823974 99798043 1000000000000000000 538543968 212588005 421588642 227818478 1000000000000000000 916296639 20153765 243475934 283293401 1000000000000000000 268421249 22562223 65957281 215859111 1000000000000000000 295236282 160780594 96282947 263443430 1000000000000000000 584857017 432073053 338696699 473334577 1000000000000000000 15897171 6202540 3710335 11581010 1000000000000000000 470675685 80157169 462685135 115038838 1000000000000000000 143441500 19200453 77224977 19580098 1000000000000000000 455722539 432989378 130178608 375757374 1000000000000000000 566273159 337704079 525435056 248233401 1000000000000000000 591659734 248777348 151367560 350930096 1000000000000000000 483679163 318132327 476321352 402902492 1000000000000000000 452385968 41896617 152125944 294490225 1000000000000000000 579368316 273519326 389517777 115486585 1000000000000000000 375663985 108753296 357131531 235940150 1000000000000000000 611767473 372500205 255345261 174408844 1000000000000000000 418451926 229793745 132556669 177141062 1000000000000000000 132117074 28911966 92008354 87155555 1000000000000000000 539774350 527964331 92609901 456433404 1000000000000000000 793751509 396603058 75199277 508932446 1000000000000000000 14637469 3623591 11760868 2609967 1000000000000000000 775570448 616783611 407634060 322645957 1000000000000000000 831619674 526083222 183245735 612365815 1000000000000000000 81338308 23532682 30167013 10604969 1000000000000000000 745620043 327800174 64101875 223024463 1000000000000000000 85665305 34844113 7874241 12910414 1000000000000000000 473690441 425221342 328730717 402377615 1000000000000000000 376586236 19306699 27345784 125519638 1000000000000000000 634817785 449738992 361603302 511283437 1000000000000000000 732036498 22980390 519733460 502333136 1000000000000000000 285687522 189822706 14221011 95113800 1000000000000000000 614500068 122866869 119048299 420230394 1000000000000000000 114202272 111918403 48320262 23206959 1000000000000000000 485029719 455907177 88924851 172442720 1000000000000000000 69214540 19338071 12865830 28944275 1000000000000000000 978060898 309388412 368108087 596711144 1000000000000000000 700715211 199847598 246811090 208477612 1000000000000000000 388670220 15378852 247915761 162651822 1000000000000000000 447731442 345983638 98824001 358588555 1000000000000000000 946391209 552114240 293276310 677546023 1000000000000000000 479354200 168186118 286714718 195461378 1000000000000000000 896249059 547997577 402912442 597832718 1000000000000000000 458766964 7416332 24492038 446827293 1000000000000000000 900518268 582710780 6732987 523143686 1000000000000000000 39242854 9892166 37871969 30261792 1000000000000000000 837402333 249077749 58929451 28248377 1000000000000000000 661916034 496539218 646932014 329017471 1000000000000000000 482422813 288469989 141149304 431226714 1000000000000000000 114648664 41926853 68551839 94070619 1000000000000000000 29267145 11426489 21027091 14026792 1000000000000000000 784821979 430838843 191941803 536320050 1000000000000000000 99075314 58115575 75521194 91066297 1000000000000000000 994980673 458558735 792170434 330977909 1000000000000000000 387212998 229761849 143911435 151889970 1000000000000000000 689152363 546602592 24410706 281947961 1000000000000000000 694089632 409881378 121596925 625707308 1000000000000000000 189315199 44413784 97825419 108675413 1000000000000000000 136862325 66180537 28067030 76325110 1000000000000000000 983708346 35764858 592806649 382378531 1000000000000000000 564344910 357812916 134420490 421256763 1000000000000000000 74175471 48073848 60014406 50382374 1000000000000000000 795378230 43442530 698079265 21680606 1000000000000000000 206415353 127599607 9111553 122055857 1000000000000000000 932438110 771546761 581397460 261206196 1000000000000000000 721938834 183881754 292460285 106969563 1000000000000000000 54002699 36747970 39401616 1657680 1000000000000000000 152491905 27870803 141961067 69270792 1000000000000000000 134713266 39780026 36320516 129487556 1000000000000000000 112366524 3618537 112251541 112143663 1000000000000000000 358506885 128534499 146800673 313794136 1000000000000000000 424503463 293197346 412989988 405672294 1000000000000000000 150808611 62350002 72770219 367419 1000000000000000000 539205097 356924535 492857264 6355301 1000000000000000000 820283389 378847429 456706558 88976890 1000000000000000000 653757923 427811199 205371911 592641466 1000000000000000000 518584228 326429781 37858427 135464389 1000000000000000000 551958793 309053681 51955063 357945299 1000000000000000000 688381040 276377151 470276229 89244545 1000000000000000000 769666300 70064294 646304186 446261725 1000000000000000000 803139656 345356849 537294094 97325267 1000000000000000000 240534537 140473627 162288056 207239731 1000000000000000000 615119408 441349880 413551061 462918750 1000000000000000000 788396726 8476276 575349691 429717287 1000000000000000000 720903804 20689250 456474073 542361453 1000000000000000000 206471537 55591154 25243675 156647615 1000000000000000000 848333611 53413126 775286114 250625040 1000000000000000000 223282114 5083738 122732001 15298581 1000000000000000000 5335424 415591 2066657 780926 1000000000000000000 241663963 37998346 241490623 226929229 1000000000000000000 447395041 256607553 321661915 48113132 1000000000000000000 755026079 611034938 56611754 225613600 1000000000000000000 763748790 728824203 3166043 714548196 1000000000000000000 633144485 109738133 400745902 189603157 1000000000000000000 24926376 20114297 15374871 22940828 1000000000000000000 576534886 379264266 392430552 193974310 1000000000000000000 608452817 426373622 58888446 122049413 1000000000000000000 788868974 238570371 390635549 273533926 1000000000000000000 802377786 461568405 398948234 301270248 1000000000000000000 938725916 323802381 232840820 614403704 1000000000000000000 41391810 41326070 35547936 2273572 1000000000000000000 645857781 183891541 638412962 635569594 1000000000000000000 532344370 332862835 225183336 196606888 1000000000000000000 251616705 182357843 3058785 171537861 1000000000000000000 11266299 223999 487317 10227070 1000000000000000000 842106452 815572219 577795571 161548130 1000000000000000000 799515869 8376281 447758191 23157746 1000000000000000000 250264256 240696843 173926374 187216712 1000000000000000000 624136174 447542815 339752768 222796094 1000000000000000000 366756343 359621946 10903357 291307546 1000000000000000000 574859527 524082640 412749794 31220354 1000000000000000000 742962436 326781410 57893394 290282137 1000000000000000000 552734756 21743993 29921265 351204216 1000000000000000000 111004239 5027139 32547940 101806448 1000000000000000000 744319211 138043428 335023867 204095470 1000000000000000000 605636870 8073431 34516257 603018039 1000000000000000000 873838983 430485948 173835086 304182519 1000000000000000000 945053516 678566730 190958745 319613758 1000000000000000000 299111055 169223424 89609357 145815919 1000000000000000000 939303101 504915802 531700023 363288750 1000000000000000000 245679482 62632500 104647543 242719597 1000000000000000000 497676356 186309964 403636731 192486217 1000000000000000000 123172854 47020389 17645131 28253127 1000000000000000000 115685872 26573817 101553382 91965198 1000000000000000000 348616329 321842153 140907016 50496831 1000000000000000000 265802151 157973906 238008722 203651739 1000000000000000000 333061247 5039942 164759736 64930346 1000000000000000000 732131991 314880518 147201952 684251754 1000000000000000000 317579 213093 284949 156848 1000000000000000000 618484932 277093363 332562672 290059103 1000000000000000000 226677409 136530351 85719205 212108742 1000000000000000000 398407933 31276965 18232011 78985188 1000000000000000000 973791762 490198273 656618109 305149680 1000000000000000000 853553812 334363809 513476317 129868498 1000000000000000000 651718293 575116788 37926229 246774905 1000000000000000000 953707159 405674727 153298584 757431786 1000000000000000000 636022118 524487302 55312975 633498136 1000000000000000000 19100232 1755069 9073624 11260772 1000000000000000000 182151730 94387997 19447421 21475040 1000000000000000000 820706218 369296549 142839110 82199139 1000000000000000000 18060977 11761066 12962301 6779041 1000000000000000000 884487552 802380741 259104124 576948268 1000000000000000000 81582850 54878568 42067944 21452146 1000000000000000000 996453271 169788041 714530285 108676695 1000000000000000000 531806067 220922204 473515853 435327340 1000000000000000000 505457635 48028338 411856541 211173013 1000000000000000000 521659998 462351344 479269751 83068858 1000000000000000000 678715391 371246046 641922946 248715750 1000000000000000000 843439134 709402434 825518984 749330701 1000000000000000000 534643752 241053088 238807537 137817816 1000000000000000000 380749286 195207059 324785421 57522896 1000000000000000000 52619772 30839875 11031092 45059956 1000000000000000000 78409716 7932821 48218309 31170151 1000000000000000000 295852929 260421414 287139138 222393567 1000000000000000000 395122596 240331865 240468696 296158759 1000000000000000000 963978046 941726243 389013408 51774145 1000000000000000000 200705340 23762240 58901638 101529966 1000000000000000000 413054032 269474503 79924848 107278235 1000000000000000000 492023578 74778032 31221913 467000024 1000000000000000000 90183 61885 13714 87708 1000000000000000000 925407573 483337311 365861169 417772366 1000000000000000000 731702807 275812425 351492935 578282472 1000000000000000000 928212120 45917491 100428497 747177770 1000000000000000000 411786500 193890994 371205909 64278112 1000000000000000000 152530796 36988849 80645173 108001058 1000000000000000000 424202853 56110280 261953096 66300205 1000000000000000000 260845140 172754866 23985840 181836771 1000000000000000000 241208593 37116889 144864013 81856439 1000000000000000000 624100747 586096289 259276824 226793556 1000000000000000000 732997854 475437020 554125754 321873232 1000000000000000000 688494950 24959155 12251893 660234303 1000000000000000000 121999251 58695617 58287061 27519989 1000000000000000000 256266185 187909911 56607858 197263440 1000000000000000000 313814515 183844384 98988653 46445337 1000000000000000000 406075166 232025805 85142070 231959586 1000000000000000000 735650944 181250775 444786395 579160076 1000000000000000000 208982390 50905600 196136757 74175965 1000000000000000000 971261796 790168834 258554077 646239408 1000000000000000000 265133072 107363353 80936246 117165004 1000000000000000000 661218134 660263686 230438435 597560416 1000000000000000000 866873361 809130907 333561611 745654120 1000000000000000000 995215515 346995498 40897600 51773089 1000000000000000000 760640952 742094167 750860253 658198369 1000000000000000000 297202902 292202702 100655371 174010443 1000000000000000000 55008511 49397883 37714600 48079447 1000000000000000000 667857768 381853432 141153484 134932557 1000000000000000000 97205054 57012661 31365356 23821103 1000000000000000000 979311086 46731249 45938426 649270987 1000000000000000000 4680302 3089743 1147016 1691615 1000000000000000000 312679997 183976481 114487681 33097961 1000000000000000000 538030540 247901572 350827246 513320225 1000000000000000000 932534174 216557254 591902123 248313602 1000000000000000000 194357996 38647470 106343652 91246368 1000000000000000000 189650715 47941639 146748190 50274761 1000000000000000000 415587294 11310420 285305465 303091176 1000000000000000000 602374902 546636715 497365480 561062395 1000000000000000000 977592584 610363381 213938608 204875696 1000000000000000000 929166851 428045553 892075252 251689600 1000000000000000000 526753062 99057431 524893032 198279732 1000000000000000000 638827403 387686474 83203553 591654931 1000000000000000000 387014501 232542774 206985145 242927615 1000000000000000000 895199644 365249638 886640065 133857192 1000000000000000000 160358587 43613271 62963967 109229860 1000000000000000000 36732251 8602753 11029763 9083332 1000000000000000000 565582791 83740413 105012974 47412466 1000000000000000000 772930720 25988443 675722055 299696537 1000000000000000000 256918390 215457021 221316958 81250734 1000000000000000000 24882023 1769869 6549188 13174934 1000000000000000000 777199745 460650493 528394926 741816848 1000000000000000000 676584672 171009254 466257567 188129887 1000000000000000000 718499669 220761094 170760453 55444445 1000000000000000000 353372706 248996517 138805494 204807002 1000000000000000000 764053793 627598756 452596664 695722591 1000000000000000000 415913372 254205120 165374710 222213923 1000000000000000000 329860709 11569272 158873528 94314727 1000000000000000000 490248690 128622941 212115165 304023680 1000000000000000000 851298310 106684534 850352023 797759770 1000000000000000000 546843215 415725765 21460401 288722662 1000000000000000000 400970532 35274421 390488091 400953286 1000000000000000000 821406964 111814180 714764494 135094952 1000000000000000000 851423704 144471271 718540867 843936448 1000000000000000000 3581588 56745 1939722 2213168 1000000000000000000 228488131 5542079 135552644 2476310 1000000000000000000 566548958 210575066 561458957 289736031 1000000000000000000 837012889 413718587 718281933 31333081 1000000000000000000 630619029 392910528 117697142 503566573 1000000000000000000 868557541 523652110 301752673 795180584 1000000000000000000 153901951 91718020 28473859 87882804 1000000000000000000 277849139 4566034 268890495 198262064 1000000000000000000 412356067 150735776 198714141 164615241 1000000000000000000 345250590 266714735 169154027 97447851 1000000000000000000 25150219 7800179 19901512 20057833 1000000000000000000 139633946 105321040 20551307 137781101 1000000000000000000 780792928 27422473 154843189 696997842 1000000000000000000 981326903 891570164 270884176 710990416 1000000000000000000 595039054 197516454 222316315 481056777 1000000000000000000 6010319 5173565 2110143 4905953 1000000000000000000 381085659 88899995 347130555 284399946 1000000000000000000 226867345 6789628 103730916 91568019 1000000000000000000 305023621 109786272 16173709 240336779 1000000000000000000 194898981 43457079 30373952 133453179 1000000000000000000 41527304 25697533 21297349 32018626 1000000000000000000 73162449 14051759 43485055 19284115 1000000000000000000 417277917 18214127 394561445 35475810 1000000000000000000 933388222 862293349 344222953 70725197 1000000000000000000 601264150 336041816 524521276 504319031 1000000000000000000 144343493 35696126 51361441 66678957 1000000000000000000 63291638 21611628 24164584 19832319 1000000000000000000 888377081 74265831 70279418 827399891 1000000000000000000 203634107 103397971 122433106 10070221 1000000000000000000 44053038 43047091 10683232 5201002 1000000000000000000 659712005 196068838 42015444 192669622 1000000000000000000 220411937 36164353 128888346 64558700 1000000000000000000 597175824 234157731 136340459 548421131 1000000000000000000 235237127 40081590 117322539 43680379 1000000000000000000 320756433 51206458 107050688 111561531 1000000000000000000 526934649 444889191 445137586 369852445 1000000000000000000 283437141 45702382 169992387 39910894 1000000000000000000 102778480 29850706 90397584 68773478 1000000000000000000 776541750 369966280 701627574 588420439 1000000000000000000 692670679 201267921 408858172 367699069 1000000000000000000 229686003 25414636 133701949 17918259 1000000000000000000 350056019 38657310 283971799 31811493 1000000000000000000 194757643 95920343 179101404 27276838 1000000000000000000 89186484 28627199 49442517 85267421 1000000000000000000 52125527 22196455 4271093 16528216 1000000000000000000 486820781 459216152 19940719 248662197 1000000000000000000 187170518 40644459 62473791 19224370 1000000000000000000 249650014 121234429 159339808 16335237 1000000000000000000 973814258 140405106 206275757 900764996 1000000000000000000 599603811 228148848 22451731 266702913 1000000000000000000 174981944 142121811 150004400 138354384 1000000000000000000 867484981 521227024 763864128 178146743 1000000000000000000 724747071 496699182 43430014 423661736 1000000000000000000 868146147 477143377 380635961 560828865 1000000000000000000 896117899 107351373 231397856 557918362 1000000000000000000 471125571 159834606 343856127 267353702 1000000000000000000 364442232 333998736 359132162 264520446 1000000000000000000 761049432 625571735 296202482 573154006 1000000000000000000 140352396 26256531 75054966 30949192 1000000000000000000 379765300 119362544 167800477 209079549 1000000000000000000 929889000 638893470 400121836 657716125 1000000000000000000 847906409 191145341 815662020 619189157 1000000000000000000 542264677 60755474 289825613 351288481 1000000000000000000 278929953 182919464 47638279 82417118 1000000000000000000 337918940 191502786 64129184 263466686 1000000000000000000 263898547 240483883 200125413 70543787 1000000000000000000 407082827 56792314 374380673 277386490 1000000000000000000 451861822 86576625 139421487 426172210 1000000000000000000 663376761 587331190 372628740 485118453 1000000000000000000 93268223 31145575 22277151 46421886 1000000000000000000 578438844 171173969 441850629 383159238 1000000000000000000 548332813 514316850 435251169 63532834 1000000000000000000 775981582 242117086 288794749 440930220 1000000000000000000 512928752 509609684 372846995 483375315 1000000000000000000 231339413 21778628 18177306 179010962 1000000000000000000 495780097 352085641 363996030 4612847 1000000000000000000 223445519 93169384 10277482 2308160 1000000000000000000 807801999 373058387 23963178 613793134 1000000000000000000 997133410 296865189 449677623 439275556 1000000000000000000 53839330 47789482 26842443 10077598 1000000000000000000 502805549 128535988 310489462 30119962 1000000000000000000 820325663 534527387 737719135 18746471 1000000000000000000 135377247 6961086 56402416 19479255 1000000000000000000 26391199 24904085 23197546 24489110 1000000000000000000 198948190 159412136 143725636 40900218 1000000000000000000 11969070 176479 520052 8741403 1000000000000000000 810046090 291759336 127361647 597797309 1000000000000000000 310027477 85103492 54909525 173199761 1000000000000000000 3808063 1328563 3185974 3014397 1000000000000000000 268964716 66059497 81626332 234544634 1000000000000000000 164822619 9874013 72797765 154723537 1000000000000000000 49815404 33116253 33715989 44028860 1000000000000000000 157445631 136927302 18000273 127488815 1000000000000000000 80722724 18412573 65000767 10813488 1000000000000000000 694910255 554037431 471060401 136512765 1000000000000000000 576907225 180646019 362885168 176607525 1000000000000000000 603306387 225422179 302507685 536415999 1000000000000000000 598363279 218773813 581114365 545826060 1000000000000000000 466138263 4499661 60214044 176846559 1000000000000000000 751595360 9328597 280635948 549135829 1000000000000000000 821674254 426817047 624961710 26753737 1000000000000000000 529093742 386121996 245983076 215846245 1000000000000000000 380001649 22002856 126505933 149379623 1000000000000000000 465575254 294382020 100767700 335735396 1000000000000000000 467353035 277092841 321534401 231640341 1000000000000000000 639309928 233131235 110883907 256770453 1000000000000000000 650613348 80702377 253970187 376025993 1000000000000000000 260635932 63000544 95193756 200153322 1000000000000000000 159311232 93772520 82387215 127882509 1000000000000000000 261512516 254087351 182962467 251335894 1000000000000000000 549725393 490652131 272350842 287687921 1000000000000000000 323377679 182986391 182192752 282217076 1000000000000000000 557886146 467783962 300666675 511931679 1000000000000000000 530995101 439830568 382749136 334380565 1000000000000000000 905382609 596260299 430355869 376837811 1000000000000000000 234917020 203150691 230522962 20147303 1000000000000000000 331686924 40680755 179002489 128383303 1000000000000000000 133886757 107905647 34116094 39274638 1000000000000000000 312480936 119861767 16639289 222857424 1000000000000000000 785729404 724393812 488816805 708322064 1000000000000000000 273385287 245532985 216051370 163894506 1000000000000000000 457296053 391780637 437175915 400030338 1000000000000000000 723843119 171295542 335918812 549364965 1000000000000000000 101008912 53458893 100392017 86899650 1000000000000000000 928910050 487048432 24705795 916857607 1000000000000000000 877694442 260084527 632115108 664167625 1000000000000000000 655725051 139756970 313474727 450633862 1000000000000000000 883194664 722043556 258098845 368788452 1000000000000000000 470233942 187206518 339540022 68878393 1000000000000000000 146237055 78667181 64119259 74350559 1000000000000000000 478872171 307675718 349986195 365102385 1000000000000000000 633096721 558100089 489697903 355294140 1000000000000000000 621171807 32419899 301391984 526863920 1000000000000000000 651125790 599135967 375267478 182768840 1000000000000000000 864248782 333148942 175337662 125672602 1000000000000000000 636945000 621152239 175538794 303536206 1000000000000000000 561326691 485789495 242718318 321311683 1000000000000000000 794533939 338520150 611532874 79346456 1000000000000000000 216208794 47218338 93323246 140624949 1000000000000000000 988314049 596887915 237585415 639441864 1000000000000000000 714852841 155953223 447622513 388478369 1000000000000000000 960735191 768781188 441163588 567778621 1000000000000000000 302171631 233484119 109031447 115861903 1000000000000000000 417168477 189221245 335010960 155419424 1000000000000000000 24905967 14840505 24526061 412451 1000000000000000000 161975267 138025272 22376804 9839957 1000000000000000000 815165227 234455575 228098702 247031975 1000000000000000000 153784207 44573152 33198393 97931099 1000000000000000000 201255018 146039665 83582521 118691320 1000000000000000000 564565856 436682152 63946979 158848453 1000000000000000000 408515344 211824954 16678600 194532970 1000000000000000000 148527394 309808 118532415 102285416 1000000000000000000 978744723 864739720 977899704 541156452 1000000000000000000 237210813 82619956 202515631 44485388 1000000000000000000 686975468 598193595 626346466 82578518 1000000000000000000 385330894 88059450 378122063 195442261 1000000000000000000 661511055 641898163 350522371 389093185 1000000000000000000 332539012 40748425 212582305 222924871 1000000000000000000 117018688 2165079 100328213 2267433 1000000000000000000 685452615 650676698 255960840 662316049 1000000000000000000 383080156 35752431 161543655 184426945 1000000000000000000 905182220 256422784 94711969 113098950 1000000000000000000 436357749 153748128 21954982 159921882 1000000000000000000 177241915 149341155 72699399 176694421 1000000000000000000 400152519 75773364 205900535 300271490 1000000000000000000 316809994 119417317 291535853 150385309 1000000000000000000 721430033 356039848 124654984 283019770 1000000000000000000 807470208 338627523 570970049 347323488 1000000000000000000 82944498 56084990 21662812 992617 1000000000000000000 684370959 14975694 305200975 109600571 1000000000000000000 570798821 234886834 234050728 187800779 1000000000000000000 961437921 350250056 602777355 753827434 1000000000000000000 265183234 63113544 41231452 32073169 1000000000000000000 241483304 205982783 7143897 223850409 1000000000000000000 974340326 64895410 27917093 151173480 1000000000000000000 937349066 633752216 306586662 337266710 1000000000000000000 343755280 133551276 210207509 52722528 1000000000000000000 695884664 21520032 673233770 349180731 1000000000000000000 975558863 204926798 458054833 76715274 1000000000000000000 914252050 299098061 139441114 462966611 1000000000000000000 727811908 493396578 105388257 555575417 1000000000000000000 396607866 345450023 245471661 234661863 1000000000000000000 572672142 283959070 291044601 233924810 1000000000000000000 738999892 732780436 345204748 660129668 1000000000000000000 248398170 50759739 100206638 71169532 1000000000000000000 430966958 211159976 411494759 303070061 1000000000000000000 26332787 19517162 26274143 19992148 1000000000000000000 818582740 185041395 361852757 583333467 1000000000000000000 10130603 7705854 9365807 9579487 1000000000000000000 308500280 253453009 183814110 193882649 1000000000000000000 751414280 351702554 411546301 86924932 1000000000000000000 703639609 252988726 88127016 276251069 1000000000000000000 274753838 147646222 208103272 250007276 1000000000000000000 201608666 10127934 14201378 182592762 1000000000000000000 402861055 174932642 78478524 72825996 1000000000000000000 785837144 485596038 233831619 8116736 1000000000000000000 880815799 197813951 246120157 781830620 1000000000000000000 308510914 135190820 130324297 247868907 1000000000000000000 504405392 281264735 108296496 333315951 1000000000000000000 897297678 263853145 416773457 131613328 1000000000000000000 91910459 780444 56443443 31128503 1000000000000000000 762697671 134401671 657807358 343433931 1000000000000000000 904182691 823624457 538375231 840529256 1000000000000000000 695380798 511828271 255707022 388549500 1000000000000000000 572675790 191911961 369052931 401843657 1000000000000000000 5114840 3531841 1903960 2782573 1000000000000000000 568068849 332115455 405650503 412573745 1000000000000000000 807438575 528428566 27899875 570131324 1000000000000000000 961329735 259841253 773103783 402027642 1000000000000000000 60038447 35735763 56855356 59009357 1000000000000000000 698325997 34029436 211541826 626531138 1000000000000000000 528182767 196232069 157138151 512744813 1000000000000000000 222121716 146402814 23054902 70956512 1000000000000000000 382827780 147108070 21240915 97737158 1000000000000000000 896705057 436803239 136685240 22770685 1000000000000000000 830010036 614003439 599443762 694247160 1000000000000000000 653143870 173989893 201758488 116654762 1000000000000000000 103830585 29870390 65914905 99569465 1000000000000000000 33399195 6576654 19136770 15294538 1000000000000000000 302234303 14163921 54217759 184389753 1000000000000000000 64797134 23331948 44422607 56441977 1000000000000000000 291182173 123599491 3746971 64214075 1000000000000000000 995028987 655282933 778364088 332325663 1000000000000000000 579966303 194402792 552618953 182535815 1000000000000000000 638892527 581824503 600867491 342193758 1000000000000000000 764574312 129469537 561529484 634811654 1000000000000000000 982182783 816446496 942614605 520436306 1000000000000000000 342161885 149336330 31355608 153350515 1000000000000000000 338949823 326195723 230408157 124556533 1000000000000000000 454559518 35259783 201766597 40616644 1000000000000000000 285052767 84421304 238798689 165559733 1000000000000000000 144611804 1385495 64289284 113738936 1000000000000000000 987754673 898449896 157589255 374926834 1000000000000000000 750711384 461979785 16328598 80597777 1000000000000000000 165857930 98838447 40647987 165825914 1000000000000000000 47414428 32432408 24363764 23617524 1000000000000000000 648292797 283862381 323468165 2089896 1000000000000000000 979529553 712782311 351789706 847865714 1000000000000000000 408361343 303657127 312711747 136429852 1000000000000000000 387436014 154336745 323078709 268546776 1000000000000000000 661745892 458562606 649426664 308471901 1000000000000000000 812154985 47559026 25878279 707632806 1000000000000000000 62518924 25272008 37947842 17591167 1000000000000000000 441025859 303358819 87807660 367161566 1000000000000000000 813242758 108259313 276245566 366118674 1000000000000000000 706057897 657377288 551465850 197550054 1000000000000000000 568682582 13511866 353821 265063167 1000000000000000000 411588221 164069264 240934981 174553813 1000000000000000000 340490742 119512265 255614535 322070322 1000000000000000000 544749797 429636982 441472305 182915537 1000000000000000000 438375278 142030836 358416340 316240235 1000000000000000000 367932858 264394274 109165391 153150652 1000000000000000000 387635812 201889560 244488147 133954717 1000000000000000000 734910343 443955089 272270307 115536614 1000000000000000000 655032728 250266229 406728889 70072831 1000000000000000000 870400753 198594078 126921688 249482171 1000000000000000000 397140281 305460867 62902520 338578221 1000000000000000000 376243453 234753505 302035557 111934659 1000000000000000000 257134521 170804544 106933102 82272795 1000000000000000000 815982244 53619858 238845977 320270563 1000000000000000000 488833433 175382885 171091162 181864640 1000000000000000000 332583865 193245272 115197480 5805226 1000000000000000000 486073521 27648427 16042169 307855900 1000000000000000000 925765372 464052040 196479876 420448338 1000000000000000000 439112864 2719868 282507216 300691190 1000000000000000000 274011623 95218359 119749788 35207685 1000000000000000000 496957212 377589592 211081076 114069815 1000000000000000000 582396840 419042982 111045922 63927553 1000000000000000000 120453233 18141677 44024667 69498466 1000000000000000000 969758655 519653130 837418592 256266053 1000000000000000000 360208174 112189861 164034180 57704268 1000000000000000000 948656780 773109222 227279786 707237159 1000000000000000000 585667344 250002955 461618131 250813442 1000000000000000000 864714699 378312183 181296925 635721443 1000000000000000000 849708659 510270976 833902282 426489044 1000000000000000000 937636146 796075248 721122559 454577422 1000000000000000000 200707242 196872164 180196694 30838987 1000000000000000000 914376712 104811964 513879724 826639984 1000000000000000000 923314970 837909100 560302308 306365527 1000000000000000000 429623020 227105023 164421421 120921736 1000000000000000000 75855981 57883599 59547752 15149117 1000000000000000000 346204574 80323436 57250879 325914191 1000000000000000000 368980472 309609935 358483639 80523998 1000000000000000000 864911691 168522850 219569345 16064784 1000000000000000000 759098836 63126092 247164094 386870474 1000000000000000000 558372805 349135532 272548936 208254049 1000000000000000000 223941611 13758655 3820732 36707811 1000000000000000000 385080684 262794960 7529457 206906872 1000000000000000000 387360923 53497619 89109770 12369239 1000000000000000000 45806576 5741242 36738224 14861779 1000000000000000000 914833592 667236150 400319029 412639372 1000000000000000000 990455144 779887572 603560790 185558510 1000000000000000000 723629081 665707197 648378090 572060663 1000000000000000000 312408733 193757687 30499225 175015435 1000000000000000000 205482644 157270393 7986087 18793896 1000000000000000000 501509880 393128292 306002799 374429168 1000000000000000000 135906057 46102425 103860389 82156153 1000000000000000000 719681170 523111748 82380812 539808286 1000000000000000000 116852272 76867287 46465179 16497426 1000000000000000000 423904012 74251849 326835672 381761281 1000000000000000000 395575841 92109887 126138784 167719165 1000000000000000000 902342427 101877940 710020754 109769544 1000000000000000000 510045136 25911408 179189498 37285049 1000000000000000000 198896154 187440027 89187080 184225996 1000000000000000000 566469636 208603236 206572662 325566714 1000000000000000000 742977110 286361926 677230873 662956896 1000000000000000000 120542784 55067484 75836459 67444470 1000000000000000000 519636287 113365957 432065715 416058761 1000000000000000000 782996104 579386956 677268707 504361730 1000000000000000000 612764870 457551091 531996858 204020566 1000000000000000000 350429633 88059090 222754234 234738043 1000000000000000000 679892478 352724382 81574066 536673532 1000000000000000000 795549422 752559501 539670829 613584935 1000000000000000000 480652609 267221806 378892455 12323557 1000000000000000000 452174416 241370988 299563524 93684978 1000000000000000000 591122304 370348670 199016525 422776661 1000000000000000000 275439423 149018536 223196951 98686226 1000000000000000000 312814388 182863249 280519087 227757476 1000000000000000000 547700388 412840357 522656977 273619697 1000000000000000000 990820171 939297463 578139291 588441867 1000000000000000000 736753204 431982733 236775381 241617814 1000000000000000000 937281885 533412166 869140017 410025241 1000000000000000000 277703924 265040 183007715 72243190 1000000000000000000 600799913 105789978 212438321 199315546 1000000000000000000 515251484 473456089 91829755 355623781 1000000000000000000 532482119 148646361 202783587 478124060 1000000000000000000 640050901 418286310 513363450 515697962 1000000000000000000 860699814 468946102 311679713 723440690 1000000000000000000 711192726 507958589 326713592 708310983 1000000000000000000 553124849 219140972 413626089 393160784 1000000000000000000 551648092 83766959 165517911 449158408 1000000000000000000 945885813 762290769 509526661 482156465 1000000000000000000 189192008 171913132 184100343 20504803 1000000000000000000 896050699 540710463 781351272 508484373 1000000000000000000 189326945 136216800 141306068 17147074 1000000000000000000 577396596 460072420 181072007 429868949 1000000000000000000 462157806 413724954 452308559 303567135 1000000000000000000 680752812 549538227 241965095 671334275 1000000000000000000 34876245 16103994 29583363 713973 1000000000000000000 81038613 14768540 58218737 8230838 1000000000000000000 980327178 685031321 22732809 766222575 1000000000000000000 812646823 493634601 142363291 536937902 1000000000000000000 607562552 540874030 459407094 5573140 1000000000000000000 896408709 453398857 348487582 492431470 1000000000000000000 440281090 323784767 385701491 2042564 1000000000000000000 122362124 15626413 95624670 22642535 1000000000000000000 610714252 479860442 297428814 167409095 1000000000000000000 228463316 94387835 158577897 29366427 1000000000000000000 389909413 251156252 162549305 146872631 1000000000000000000 959267921 706532641 442169396 645678690 1000000000000000000 741585226 162460372 289633578 613589049 1000000000000000000 177470757 174979182 115951988 59219185 1000000000000000000 410587792 22372012 333025914 49136089 1000000000000000000 105548877 18198424 84748593 105161552 1000000000000000000 207704078 154005906 54152817 161171046 1000000000000000000 998133375 136054987 555205106 636660898 1000000000000000000 55696578 46640114 46865451 51209374 1000000000000000000 567957702 101775571 135709792 16807805 1000000000000000000 402143617 348312009 81819989 115106917 1000000000000000000 895914496 566442896 375518818 625784112 1000000000000000000 463825617 268170481 440189619 55781495 1000000000000000000 743213685 143000827 359732663 207460409 1000000000000000000 893901968 822924666 318576126 306857171 1000000000000000000 321403001 139436402 117820003 126167574 1000000000000000000 773766073 282361584 179183802 373440295 1000000000000000000 781096978 542601509 215374503 20806892 1000000000000000000 601412082 888982 27255672 299397608 1000000000000000000 807832112 497369258 437312395 704095988 1000000000000000000 528481536 190603309 337907572 33125688 1000000000000000000 327138185 248733043 174893045 233256631 1000000000000000000 519853807 505971262 112165961 302069205 1000000000000000000 728375929 722365846 689816769 106356223 1000000000000000000 206834333 171616915 111849929 10085288 1000000000000000000 836118860 4618765 475376185 626469874 1000000000000000000 991332756 374008516 457837836 98016162 1000000000000000000 921090350 740659842 423178289 426505482 1000000000000000000 629193027 214030799 485908452 213928903 1000000000000000000 614708985 109873057 71610894 511158091 1000000000000000000 12827636 5946175 9271499 1761276 1000000000000000000 227682362 210039627 107749399 2806322 1000000000000000000 106005231 26670740 22156059 74633626 1000000000000000000 403914468 45372114 167425754 99673803 1000000000000000000 924759274 454596902 468683312 415673438 1000000000000000000 864675484 753968894 85782549 118877287 1000000000000000000 802141866 310352479 461377769 68351375 1000000000000000000 266152128 209552417 240344195 218308255 1000000000000000000 659311602 321094996 512188952 254889363 1000000000000000000 678880713 578893159 616181128 574849276 1000000000000000000 459416853 448444432 8235495 162559690 1000000000000000000 393744589 31820296 204862452 55313123 1000000000000000000 738242131 522892581 686203366 161435721 1000000000000000000 696723370 263410383 616023670 246103370 1000000000000000000 239106276 180250463 203130589 47791244 1000000000000000000 909451228 421677827 83640718 705571980 1000000000000000000 644625789 500257931 403193614 216463072 1000000000000000000 600775071 151859574 87554249 27340133 1000000000000000000 103990177 54578509 67709321 85129155 1000000000000000000 953039472 47498001 759921232 253698855 1000000000000000000 134154214 70214329 111948846 18588933 1000000000000000000 677241433 300152986 392542529 398001666 1000000000000000000 829000558 331183360 362727815 471547502 1000000000000000000 744813380 474719696 517727410 456560651 1000000000000000000 205138954 94473215 166434324 6195740 1000000000000000000 1768324 1179013 1132189 1412636 1000000000000000000 91634281 78206447 60136870 47195631 1000000000000000000 411721082 372301904 86654759 234155862 1000000000000000000 267789194 141905623 126890467 197651289 1000000000000000000 703762564 224866124 139731611 141341868 1000000000000000000 640533165 215126366 554320984 133605654 1000000000000000000 344881867 249915451 52417261 210297621 1000000000000000000 556178616 85366596 57588709 93731953 1000000000000000000 753801733 526558708 13405820 684744071 1000000000000000000 645550331 587727120 543437056 246789022 1000000000000000000 138344926 136372718 9418247 69773893 1000000000000000000 485717095 12704783 72692229 6747911 1000000000000000000 595114860 232809145 137202539 32577556 1000000000000000000 238536497 196007038 204833698 11328010 1000000000000000000 109594736 46548236 27162935 53837436 1000000000000000000 812245253 82071996 661795362 646422888 1000000000000000000 778938100 714484895 120428950 576751380 1000000000000000000 12209028 9470281 7628654 11032356 1000000000000000000 223964250 197017479 117311002 113954446 1000000000000000000 11207678 7959280 10103038 3720101 1000000000000000000 395092302 303951749 162294507 364756181 1000000000000000000 788523456 176050851 711245571 9919816 1000000000000000000 999185394 671340158 880081711 316953821 1000000000000000000 691414559 432863346 430878384 3651849 1000000000000000000 199793512 12171820 165837116 35419667 1000000000000000000 27654319 24467021 10159144 14118354 1000000000000000000 928945466 597036203 575176363 271126505 1000000000000000000 125458627 26219677 107030863 124496588 1000000000000000000 782258327 612430602 92004820 61765782 1000000000000000000 78788943 13878429 39815477 31427262 1000000000000000000 157974645 108455327 149041043 119100333 1000000000000000000 589406337 66073521 63791255 300193553 1000000000000000000 616906113 278168040 99471381 591868672 1000000000000000000 908218113 761621592 793871346 681876770 1000000000000000000 518141685 157695912 107715118 244980694 1000000000000000000 54655274 51266404 2591704 35617911 1000000000000000000 759369428 233212059 411557796 270960488 1000000000000000000 563703673 388511449 192483612 511827645 1000000000000000000 454864325 447068926 43972622 294284852 1000000000000000000 830917401 471111955 587185462 303748715 1000000000000000000 578447653 95844387 521460230 269907380 1000000000000000000 684840780 546546266 43330611 38053394 1000000000000000000 755594137 558851812 580627063 165390821 1000000000000000000 853790478 26954105 134092430 677950311 1000000000000000000 124441454 91860402 39859714 36578451 1000000000000000000 752242453 700516534 53620299 581084064 1000000000000000000 438307893 388567027 127337645 111404455 1000000000000000000 680725717 633257571 469959690 209353265 1000000000000000000 518986331 62605101 151221653 311821557 1000000000000000000 471063368 279578231 125833814 374338461 1000000000000000000 533821995 203747126 308474512 172581520 1000000000000000000 378560578 50009454 32870977 279836998 1000000000000000000 458648870 209788417 132203243 87994479 1000000000000000000 939425575 420172574 581988035 347044458 1000000000000000000 315429323 112011231 314382711 234488213 1000000000000000000 883302228 4960431 77130300 312977608 1000000000000000000 628327999 46393343 475131081 530071089 1000000000000000000 328545988 1445486 268080766 252750979 1000000000000000000 634931238 167032763 580582920 221829961 1000000000000000000 785134372 120209 277221391 262343200 1000000000000000000 847652397 217387383 362757384 152848583 1000000000000000000 468813261 289727047 93867541 119001799 1000000000000000000 831286842 699120119 184219582 818500969 1000000000000000000 680603370 206506055 389601559 518101320 1000000000000000000 502000088 80803949 490764483 271968499 1000000000000000000 674470628 218398073 104669063 255063925 1000000000000000000 817855863 274234459 806196436 628817822 1000000000000000000 987821316 116878376 184448781 568874249 1000000000000000000 687188050 41501719 33521160 475391274 1000000000000000000 732899847 705512411 92699423 288787453 1000000000000000000 702763206 430928217 196675225 158486568 1000000000000000000 787762803 510257689 238740065 479524702 1000000000000000000 187521001 72326178 24811411 95120532 1000000000000000000 979828085 645764169 333225301 872631141 1000000000000000000 807221930 117102062 289128054 335102314 1000000000000000000 473872937 71793420 78205361 152926882 1000000000000000000 933066639 535501302 425678503 895347640 1000000000000000000 51557334 10359154 41182080 8738161 1000000000000000000 6107817 2776860 1643760 1146616 1000000000000000000 486590772 208195671 483780207 459076231 1000000000000000000 837325043 472401374 798320590 247142580 1000000000000000000 96231911 41366571 75466249 75082951 1000000000000000000 488998501 30541926 395983294 243498145 1000000000000000000 367970739 140345599 259746125 366116776 1000000000000000000 451991442 367050475 200242254 331051795 1000000000000000000 499248749 366085891 316508956 414165730 1000000000000000000 231023464 48245741 141922236 100597923 1000000000000000000 944119117 533641245 36461850 851883840 1000000000000000000 918015910 315440960 840575068 112354048 1000000000000000000 937320229 852818593 277234218 460036361 1000000000000000000 491737295 474941766 433297251 224721991 1000000000000000000 724305134 617119494 289576811 252829427 1000000000000000000 444738526 113541399 308071825 174167674 1000000000000000000 177719331 54538471 36938098 35427249 1000000000000000000 780865532 339532717 157745087 611148370 1000000000000000000 74098089 41526197 42573080 32442481 1000000000000000000 391963476 256170269 47942610 319637720 1000000000000000000 499666642 377923622 434254779 417287488 1000000000000000000 301634761 190608411 63069869 151794465 1000000000000000000 398556397 266851161 341201577 261425617 1000000000000000000 163401196 37040311 33602511 39473988 1000000000000000000 731357472 70637198 715340007 46806608 1000000000000000000 29169756 4567221 9078880 13802379 1000000000000000000 853100345 778346129 831864295 787882178 1000000000000000000 540804369 505119729 237939111 117678390 1000000000000000000 192199372 15262887 82412764 180394074 1000000000000000000 850460110 412617054 691903353 642977494 1000000000000000000 126662512 82596411 108172336 106004345 1000000000000000000 456356798 74906487 123665269 355703831 1000000000000000000 235835010 188615601 222408988 147494658 1000000000000000000 366147403 150575331 94129489 115927327 1000000000000000000 266853998 122622915 259349319 70265299 1000000000000000000 661266526 131788532 617898873 644927536 1000000000000000000 779703316 128051357 435317085 698712935 1000000000000000000 47371164 30207906 26193873 7543410 1000000000000000000 260569547 170325940 19260552 255303666 1000000000000000000 3986288 3632562 2349924 2096493 1000000000000000000 632879307 205339160 185324745 212354662 1000000000000000000 142555946 84300287 59235753 34630984 1000000000000000000 771706574 261753971 244447539 727642083 1000000000000000000 550063847 71398515 249863919 374265211 1000000000000000000 111368845 79732050 44670337 49910931 1000000000000000000 702268296 220291969 9516357 219347470 1000000000000000000 697392169 443291429 688457944 22848489 1000000000000000000 212443689 26059091 57423303 73631705 1000000000000000000 72617556 2047306 44403152 67201083 1000000000000000000 473360290 126257998 79215837 210741870 1000000000000000000 234269691 119784812 183168938 217344709 1000000000000000000 746016725 463769799 468693112 395181268 1000000000000000000 261048174 152332512 142592392 51189809 1000000000000000000 505364925 378937722 252160159 221457643 1000000000000000000 382526809 331130379 313013904 204914483 1000000000000000000 616607121 281050705 486874815 283302143 1000000000000000000 50940554 21859516 13083692 27142642 1000000000000000000 405111272 399662542 146931099 393625302 1000000000000000000 657588448 80205240 629322354 140445508 1000000000000000000 71962071 58367505 58934773 4552295 1000000000000000000 828853646 360965998 234160385 605306670 1000000000000000000 828754982 128652464 68224678 566792406 1000000000000000000 452123257 59202643 189028901 391199401 1000000000000000000 498946082 408113832 78726457 14521522 1000000000000000000 242501269 6187492 201998870 71067811 1000000000000000000 769194881 212017119 122812279 65909209 1000000000000000000 814883054 76847499 508204039 676116393 1000000000000000000 473496828 367962982 317564822 417972762 1000000000000000000 244398195 153594978 242195566 237376823 1000000000000000000 54786061 30850432 2638787 6678395 1000000000000000000 43802882 42116402 38884476 1177041 1000000000000000000 213585617 24263206 44823529 118248553 1000000000000000000 244898334 83770971 148470867 91692746 1000000000000000000 208098156 108326441 163339714 146654542 1000000000000000000 221097536 18215921 197568358 121779000 1000000000000000000 822413413 534742441 97192147 623589309 1000000000000000000 495344133 303388517 297874844 327891830 1000000000000000000 295970670 69762703 65960506 82852752 1000000000000000000 510589702 337521208 201598917 398473322 1000000000000000000 581665786 554893987 204712792 236805496 1000000000000000000 537708450 439992219 366771509 108488487 1000000000000000000 831904088 705055127 786892303 433275958 1000000000000000000 406163951 285329311 64509696 165913543 1000000000000000000 982131063 900813092 15872736 28427997 1000000000000000000 829773277 428479003 191431623 190574145 1000000000000000000 215081004 175220087 20768602 195288090 1000000000000000000 218990854 142948896 125460252 152554242 1000000000000000000 938801644 165900216 782554086 242814228 1000000000000000000 897193348 723967730 98865376 639154843 1000000000000000000 925277727 796563766 435346313 102961615 1000000000000000000 344502485 126184243 235121562 286282278 1000000000000000000 573442034 275554494 246316573 295957610 1000000000000000000 241901794 93036408 113267026 230071882 1000000000000000000 437455138 233633300 288331813 343123057 1000000000000000000 402450263 153225635 386520335 280339012 1000000000000000000 433931741 37946605 349954088 243670545 1000000000000000000 786530076 584411901 638752442 773024871 1000000000000000000 638470315 136118083 335851609 183643386 1000000000000000000 71138955 687347 12079922 63592757 1000000000000000000 27305194 15261569 14424487 3005257 1000000000000000000 909744880 859144916 386288028 600214265 1000000000000000000 908893050 313342132 205065144 317475390 1000000000000000000 278708902 164916277 197298529 166464867 1000000000000000000 575927093 292545395 191891820 308737852 1000000000000000000 634287375 599905699 436026186 62255255 1000000000000000000 327878610 265723784 44592474 94973121 1000000000000000000 496957803 449011101 235462632 180401771 1000000000000000000 513576303 177110531 427185870 259071651 1000000000000000000 212683493 40553903 114385553 132238267 1000000000000000000 867635553 858811329 637163077 822845271 1000000000000000000 974717939 926494492 578708430 915062709 1000000000000000000 847472114 557051996 160549512 136034657 1000000000000000000 567509255 264345981 201234025 77683030 1000000000000000000 741950661 174439397 216834048 231957537 1000000000000000000 662640197 131867599 148425431 113372470 1000000000000000000 127486842 68913102 111242993 25559514 1000000000000000000 467604693 83933562 221063008 410104379 1000000000000000000 761933042 260901150 498745034 469088871 1000000000000000000 127225890 111321787 44874680 47425067 1000000000000000000 485378148 35992018 180005832 81966332 1000000000000000000 472632924 146728848 350947520 138822729 1000000000000000000 281156255 7465861 204983215 171372111 1000000000000000000 712653740 500208855 711002073 13783190 1000000000000000000 155278197 91859305 33870679 106278904 1000000000000000000 316075163 289394009 238865178 140870447 1000000000000000000 957318998 228277768 446755634 378702263 1000000000000000000 890825980 635898522 566167631 218631271 1000000000000000000 335596339 163110181 151013003 206695374 1000000000000000000 366392950 175431230 8748239 266906670 1000000000000000000 721693946 553236545 468412063 165352213 1000000000000000000 478667096 477153359 179481880 311669890 1000000000000000000 746452728 317794785 634672452 522792893 1000000000000000000 629415012 597221510 75139832 414138391 1000000000000000000 877686557 399584625 117331664 72287471 1000000000000000000 785624615 775122476 613291922 64137136 1000000000000000000 429349472 386829411 117359566 296445231 1000000000000000000 609526536 454317350 544730883 168231209 1000000000000000000 753543686 7939156 487570219 155623342 1000000000000000000 507375075 318973657 42107459 253134951 1000000000000000000 224748592 133132913 118730268 51963090 1000000000000000000 110249728 34935534 69181945 39273038 1000000000000000000 157136646 9698355 71469773 79431809 1000000000000000000 501107048 36559709 150998481 237370162 1000000000000000000 751606594 490165056 156019125 306473510 1000000000000000000 5544871 1833315 1703043 2488986 1000000000000000000 369815301 366915166 64693118 113803187 1000000000000000000 115241389 53894582 86631562 22203688 1000000000000000000 951195745 841382092 327294410 206469632 1000000000000000000 512616412 439101146 409548715 288269861 1000000000000000000 649071336 192570353 635393579 67824447 1000000000000000000 141233492 38339129 1793895 23402137 1000000000000000000 977653598 440937950 202715733 793951160 1000000000000000000 435439547 179955358 255039149 396476868 1000000000000000000 997176726 364642179 853058043 684584830 1000000000000000000 331487503 206777361 179445141 89687617 1000000000000000000 930797074 589474052 164830205 503099275 1000000000000000000 310727845 153768592 45506016 42443480 1000000000000000000 24318624 13806270 19437684 18653389 1000000000000000000 142663896 8066961 80634871 1147391 1000000000000000000 334898796 224914888 274956297 226940011 1000000000000000000 607651249 417719375 374293230 161614754 1000000000000000000 975988095 722512408 205316524 169386724 1000000000000000000 61245123 9886751 56730986 11548414 1000000000000000000 477352080 69250227 175530117 245160092 1000000000000000000 838489852 3479659 509881020 342004976 1000000000000000000 804538278 380909496 230690626 783496801 1000000000000000000 917281699 94207595 210268964 646782985 1000000000000000000 508376959 121153874 278593795 343191951 1000000000000000000 217200670 194025278 182461731 59039797 1000000000000000000 912535782 618229403 88630642 733767397 1000000000000000000 998283169 72037615 646597127 857843106 1000000000000000000 885648102 227373572 58995524 448927176 1000000000000000000 435542889 343210077 154075737 143055613 1000000000000000000 229299416 125972337 151205306 30331093 1000000000000000000 956976184 352958707 626484491 826899840 1000000000000000000 702489231 119594855 677757606 570341633 1000000000000000000 14936990 4614911 11293884 14593769 1000000000000000000 429821300 333880552 410669960 412506069 1000000000000000000 703324039 263021691 274223918 166106791 1000000000000000000 655956744 469017303 395661641 432270151 1000000000000000000 574141647 28961637 245019030 217983217 1000000000000000000 297876732 92935384 24657935 118064280 1000000000000000000 55165092 49107824 33820170 31163811 1000000000000000000 576769031 151468053 415915992 243853366 1000000000000000000 61701765 55706445 47802941 43872576 1000000000000000000 545809848 171161524 498042070 89069003 1000000000000000000 11672211 2044125 6034737 139455 1000000000000000000 354484686 67383058 209332151 47073044 1000000000000000000 17834394 4697311 10675659 7479851 1000000000000000000 684214069 181477080 347450524 502148675 1000000000000000000 676282401 70979299 475010145 193436026 1000000000000000000 263983344 12890463 102403551 61001416 1000000000000000000 919363888 355402005 649940841 539895575 1000000000000000000 507353425 4638487 431144377 75307414 1000000000000000000 948546415 311964570 117815019 846324197 1000000000000000000 662987264 146130729 80646786 117658880 1000000000000000000 328146117 221827463 25650005 255008788 1000000000000000000 909001849 65380592 205473818 83136808 1000000000000000000 424382274 266015859 304231935 339875260 1000000000000000000 800800257 277646763 751209377 763210801 1000000000000000000 989819697 270760794 224267937 582899939 1000000000000000000 818158718 338426527 144723423 708491046 1000000000000000000 221544481 157906073 178514086 166915157 1000000000000000000 279677905 89541607 228213781 202018778 1000000000000000000 762799784 591415087 590996870 584661126 1000000000000000000 354555632 345111087 264283637 342492669 1000000000000000000 183169620 122634960 1336392 120748921 1000000000000000000 98004267 34819273 82769088 77942963 1000000000000000000 256242 155170 252825 172057 1000000000000000000 622186208 511810577 152891478 167277119 1000000000000000000 814993689 683859220 554173696 226605672 1000000000000000000 717513018 110397889 82646262 130550167 1000000000000000000 849611611 596862051 216139497 809731721 1000000000000000000 223582472 109244819 162476095 215087317 1000000000000000000 735913390 397904457 197016311 277799304 1000000000000000000 165280101 129892086 133306693 61449078 1000000000000000000 52170454 8719388 13756252 31313284 1000000000000000000 406388887 171930716 325624931 302031315 1000000000000000000 219412206 20010614 211352143 109938080 1000000000000000000 331135270 78734255 134029055 25103070 1000000000000000000 309024808 235013685 257854408 104078847 1000000000000000000 439700371 430566123 139777125 97800072 1000000000000000000 224756942 161668862 124508525 33743161 1000000000000000000 679753022 46937358 363418514 142614963 1000000000000000000 566285811 101144930 116818486 14429192 1000000000000000000 203503161 46987506 48378690 149132783 1000000000000000000 440911203 279944381 28106655 355400316 1000000000000000000 307665432 93565715 75772787 305880495 1000000000000000000 742363950 625134224 263447635 44199268 1000000000000000000 317925719 27887603 286734666 261663889 1000000000000000000 842090803 747802513 193303508 353845248 1000000000000000000 497349564 274411731 143382276 463705897 1000000000000000000 697998291 36877763 534934546 407508775 1000000000000000000 503216628 440606726 221931229 399245428 1000000000000000000 427410600 64674740 224768251 147363802 1000000000000000000 49875693 14405360 28136583 11860763 1000000000000000000 758550419 401462193 351385929 46435273 1000000000000000000 718223432 179737233 59699012 633899256 1000000000000000000 7533491 7039171 1444800 2016036 1000000000000000000 108680735 30251768 23056649 22540711 1000000000000000000 818392267 491625814 521967319 550770131 1000000000000000000 826267785 167336315 561907403 802432919 1000000000000000000 76234840 64861130 67339252 44316688 1000000000000000000 99769394 25538005 97009337 81627616 1000000000000000000 825340853 495505357 24130923 406324850 1000000000000000000 347865603 71262821 14431510 251209428 1000000000000000000 884421437 736738575 694532571 807669262 1000000000000000000 987418682 908865855 175716760 379206774 1000000000000000000 545635568 383048459 440740132 171017823 1000000000000000000 734894139 508013828 514186798 237628850 1000000000000000000 873005049 523832216 508534742 818690107 1000000000000000000 226048033 148503380 217941970 14950688 1000000000000000000 727221139 368405335 229311237 213101005 1000000000000000000 867095655 838358101 473965199 650105481 1000000000000000000 833393998 168216696 438171451 403570009 1000000000000000000 762148334 291669670 207492790 53490082 1000000000000000000 457997926 65923173 82630529 13804788 1000000000000000000 667389977 26291347 473301089 328177732 1000000000000000000 419411952 128883752 328351058 35790122 1000000000000000000 500478356 369548300 454373668 493236254 1000000000000000000 887972995 707762980 533729413 552333420 1000000000000000000 323470209 79210758 156315680 284729113 1000000000000000000 261539918 87411988 259941005 235006341 1000000000000000000 747054270 192084734 340187844 181704275 1000000000000000000 289932137 288063545 278657436 171500503 1000000000000000000 111538566 63182644 110892392 71995463 1000000000000000000 879601073 493051435 220914386 425474982 1000000000000000000 107277171 93816252 83062457 72261825 1000000000000000000 314340207 8114655 200970677 93283621 1000000000000000000 728851374 67838079 153294632 626319970 1000000000000000000 303737525 70718819 209463840 133214561 1000000000000000000 28936140 23354517 17908449 3809372 1000000000000000000 706355238 292451512 427520957 577842193 1000000000000000000 317383448 152373038 189540605 284247063 1000000000000000000 331584815 316127977 32464226 81307363 1000000000000000000 965774414 426904025 776120238 200918408 1000000000000000000 124478917 5189461 36528698 80925207 1000000000000000000 764403421 208364776 636914554 448659235 1000000000000000000 966029501 733284031 408617419 912251125 1000000000000000000 653340230 245449807 160815209 235776914 1000000000000000000 713108110 407838405 563812646 289752373 1000000000000000000 459724900 167743069 48268790 363000845 1000000000000000000 450512237 277429423 348199359 104263955 1000000000000000000 776682549 677851694 94729613 595440859 1000000000000000000 678181436 574048602 318181445 421039567 1000000000000000000 155948736 26312166 10093745 71033979 1000000000000000000 996700663 525963122 80771489 518227878 1000000000000000000 904081841 181842617 342786450 829933142 1000000000000000000 203481466 88725780 26424062 16083864 1000000000000000000 850040219 491241435 67479298 547904588 1000000000000000000 654197428 78526946 262132388 437508411 1000000000000000000 85086896 11938130 66514401 9150578 1000000000000000000 51491173 27716798 4760754 36353409 1000000000000000000 4042977 1291079 1468757 776371 1000000000000000000 677670057 436608960 80393091 461852090 1000000000000000000 800161920 488794404 357828239 102009085 1000000000000000000 965298420 302560766 53557366 317109715 1000000000000000000 64470955 18035451 20833128 56999624 1000000000000000000 840224645 800182115 129330461 60333959 1000000000000000000 632618064 248871491 599980234 599732088 1000000000000000000 552679348 35263766 14852112 416304232 1000000000000000000 807348362 230843725 333712421 760641846 1000000000000000000 840928710 171905405 754439716 522196295 1000000000000000000 902259282 254805160 43500221 92504363 1000000000000000000 82080528 67714681 63354181 60080251 1000000000000000000 98727814 12342984 12471579 70765101 1000000000000000000 483590700 185300890 444432049 314433792 1000000000000000000 396129801 240716223 154723981 357099469 1000000000000000000 682632171 110924151 411724038 263643125 1000000000000000000 701923224 125646228 583248416 143077627 1000000000000000000 629669858 585137579 264451698 149367643 1000000000000000000 826532362 632894726 137077983 419482596 1000000000000000000 634227300 270516203 7654980 130067410 1000000000000000000 203551609 49804008 111064564 113049821 1000000000000000000 983809829 161585059 896874723 409670134 1000000000000000000 139805750 33614855 19230329 100863552 1000000000000000000 690218811 303648238 584443297 337181382 1000000000000000000 196316362 167145712 166263526 27172701 1000000000000000000 111349669 73542055 34604932 87185879 1000000000000000000 965207858 639557610 333257139 339307760 1000000000000000000 32970130 10103101 23768376 2968411 1000000000000000000 105128268 85653502 57507787 15492362 1000000000000000000 302902684 157679560 144272874 64028413 1000000000000000000 13510027 6441241 5477438 12049428 1000000000000000000 55401053 7558262 17237189 36895676 1000000000000000000 152100545 96853729 32449752 142469828 1000000000000000000 539668477 218188043 89644141 149132528 1000000000000000000 224957652 50678292 44455583 99766479 1000000000000000000 396322645 145878268 2559790 15312710 1000000000000000000 369221640 310278181 252813792 13058251 1000000000000000000 372285933 175444397 88931848 57645269 1000000000000000000 508271004 226270081 353037608 351516112 1000000000000000000 157258364 59462788 106778997 125081290 1000000000000000000 187788325 103907103 62532377 118906709 1000000000000000000 609699463 601619513 25852902 443970099 1000000000000000000 38946388 23921535 23280618 14096502 1000000000000000000 388132999 109157262 214655790 139763647 1000000000000000000 569455157 68485642 499483931 503106912 1000000000000000000 280237250 218915 157763553 61550140 1000000000000000000 688205109 234536230 633660270 423566880 1000000000000000000 958733886 923777666 896606717 618636345 1000000000000000000 344333106 40957359 109971430 272441406 1000000000000000000 325622248 242693133 41577260 175336599 1000000000000000000 430437571 71216243 226673145 374793801 1000000000000000000 264557692 202459045 203283173 107607092 1000000000000000000 988348549 508162903 381626939 545797780 1000000000000000000 980440592 605311663 345345610 794662608 1000000000000000000 909116036 101601390 571382493 93173400 1000000000000000000 625071509 476159525 202791006 407899219 1000000000000000000 593207317 219531152 60790164 275117630 1000000000000000000 788770796 109277043 649082734 189634043 1000000000000000000 198021962 16785214 180960 12518563 1000000000000000000 899671436 410255220 740729795 795710188 1000000000000000000 253747634 235601586 105002811 211802582 1000000000000000000 357664705 315140954 255854494 73771261 1000000000000000000 365450967 41197730 351952356 262607101 1000000000000000000 611938886 545599537 604767079 176745710 1000000000000000000 231248672 82346528 109693248 153030197 1000000000000000000 657742629 282648005 337985333 40893436 1000000000000000000 921140950 646266612 415283068 527217593 1000000000000000000 571482918 420552978 327058448 495556604 1000000000000000000 89449026 77689566 19200496 45846074 1000000000000000000 749750833 164266190 483784329 10892451 1000000000000000000 862735150 253397008 488302730 479361431 1000000000000000000 194780905 146134788 96243087 162762143 1000000000000000000 314098853 233567757 89798050 79324880 1000000000000000000 255726520 99879544 119705114 32135980 1000000000000000000 47101974 12005697 41383328 42525759 1000000000000000000 542970020 302381055 63090499 482362904 1000000000000000000 422958062 365691411 387168209 242610958 1000000000000000000 863683888 98888179 486020429 436133120 1000000000000000000 236792270 84406052 216906859 147004902 1000000000000000000 982191216 680334689 308627443 440043934 1000000000000000000 420656565 332241952 92249604 53711961 1000000000000000000 47496821 19803962 25792159 47034406 1000000000000000000 741045174 103780114 468601732 209387507 1000000000000000000 412015686 379727641 56492245 406146076 1000000000000000000 452213297 3613387 318727686 440061496 1000000000000000000 525335346 350673536 461705730 352441165 1000000000000000000 755504878 228117079 456872705 32290891 1000000000000000000 918295850 865621525 7633749 59841315 1000000000000000000 296647283 179408489 70188707 283782193 1000000000000000000 970248980 386913735 341909894 535639094 1000000000000000000 376335844 158071283 7727206 248788038 1000000000000000000 751160529 684673990 682449346 168033136 1000000000000000000 441492009 352174736 3052455 357715954 1000000000000000000 192157393 29790795 74258335 59703838 1000000000000000000 287773440 61528399 97049876 258645016 1000000000000000000 264272873 216364368 46713669 164392971 1000000000000000000 751059526 524159933 732435070 639135488 1000000000000000000 290397404 18353713 128244114 86810694 1000000000000000000 618235648 392798069 498427258 571502191 1000000000000000000 62656394 39288272 36846416 26230992 1000000000000000000 736001345 146409193 453175653 100117462 1000000000000000000 691990078 647047532 41921974 445757573 1000000000000000000 332900613 7542789 119682322 69391658 1000000000000000000 256180700 28293797 88138154 119793547 1000000000000000000 987862189 226752307 838040173 34031423 1000000000000000000 42820693 28767874 27559659 14334786 1000000000000000000 483097186 409660864 320490703 132301144 1000000000000000000 194711152 82010156 89059814 17928161 1000000000000000000 735212016 543494048 533408108 233141240 1000000000000000000 258477955 3966688 105057055 37820393 1000000000000000000 317286141 159115265 268903058 94896903 1000000000000000000 637655758 523752131 540018596 10145089 1000000000000000000 753769488 90202233 14117980 122693749 1000000000000000000 742299535 320112177 597855236 235985315 1000000000000000000 511118808 180799154 106804733 18771687 1000000000000000000 793145901 375181254 408363510 619352427 1000000000000000000 890564325 572711560 302311785 846464160 1000000000000000000 727828612 52080737 713445789 648211009 1000000000000000000 27188158 4316630 9858755 6841685 1000000000000000000 477544878 382140178 40692986 120426169 1000000000000000000 930416368 22711678 140225550 702818058 1000000000000000000 245465100 235461526 53249770 190914469 1000000000000000000 588654603 35368334 241424714 188748243 1000000000000000000 607528026 457113332 285378881 85449521 1000000000000000000 23357164 16558229 2357231 100451 1000000000000000000 996932462 187013438 159726501 454584101 1000000000000000000 523912537 129735606 40869598 238428718 1000000000000000000 289029182 53291866 253944110 210160168 1000000000000000000 892254516 212363870 223866932 534109383 1000000000000000000 744566471 235552382 24673022 486574967 1000000000000000000 82212622 67791667 65144159 75746833 1000000000000000000 738646704 370757249 585153474 652520486 1000000000000000000 212342301 72662388 112309406 163588612 1000000000000000000 369728619 106587086 110959097 284330326 1000000000000000000 842981640 819167934 789351250 192687682 1000000000000000000 315404606 251067864 35433895 33967423 1000000000000000000 634827004 431579417 36235108 603653599 1000000000000000000 341140123 230607530 18219901 45153720 1000000000000000000 929717654 273479905 805358545 32133720 1000000000000000000 449744337 445908621 62402162 440697808 1000000000000000000 479742170 254216194 449241514 397564372 1000000000000000000 588374157 278756168 305770948 228078424 1000000000000000000 187405857 8624707 54660539 131629313 1000000000000000000 187007043 8136758 148243617 44425469 1000000000000000000 946106728 813139616 329365681 815031006 1000000000000000000 490301361 47161215 260512362 364996963 1000000000000000000 509804027 336383485 334016175 81164396 1000000000000000000 885320191 96520327 6187927 640957172 1000000000000000000 878778490 28189241 6114100 75555795 1000000000000000000 251069471 141768902 219023012 223356734 1000000000000000000 661361571 25284686 154628542 36365663 1000000000000000000 838864069 143224068 692897016 740531851 1000000000000000000 154967523 87366317 110594671 29256615 1000000000000000000 45741931 6081559 15846729 39007341 1000000000000000000 95257790 93345315 22926771 45171307 1000000000000000000 899246948 247599820 731277506 58483659 1000000000000000000 798184509 156693019 375990637 530948341 1000000000000000000 934013146 305348995 858205742 177570555 1000000000000000000 337428874 226734077 203340810 131565395 1000000000000000000 774439805 436077687 407364161 324492963 1000000000000000000 742849862 30778459 736160096 382328150 1000000000000000000 504087133 358291622 355836653 38930958 1000000000000000000 143310654 6968527 136944701 25558585 1000000000000000000 176951372 44776445 58503412 18044989 1000000000000000000 68320754 14812685 42939530 32178224 1000000000000000000 887309494 549174030 217486161 447475484 1000000000000000000 936434167 929815207 825253957 757596141 1000000000000000000 673136238 409343774 169727427 603579137 1000000000000000000 628331217 414320973 335519843 267165151 1000000000000000000 236451011 126151765 189468731 197063151 1000000000000000000 447426504 204286412 65324296 356857237 1000000000000000000 944924384 729051073 77955968 610800766 1000000000000000000 676491668 420406189 595446368 621467736 1000000000000000000 449449719 311335259 159958149 397163277 1000000000000000000 846801884 821462361 273590472 151330240 1000000000000000000 940614995 611867276 196705128 178724702 1000000000000000000 988922830 906589583 657944917 813751374 1000000000000000000 596562883 295347221 91208625 121665661 1000000000000000000 24218315 10917485 14046458 1656406 1000000000000000000 543425755 365264942 465267238 412819623 1000000000000000000 294062509 112302108 16969219 77227257 1000000000000000000 179299352 153504787 14189760 80458419 1000000000000000000 32152288 19906533 5847493 23287438 1000000000000000000 817149674 561877991 430458495 600607895 1000000000000000000 359082488 330580954 177312004 73614522 1000000000000000000 722192001 260334484 448113284 517949472 1000000000000000000 152577572 92608357 84796478 64198904 1000000000000000000 68782057 60506811 68197414 49688159 1000000000000000000 756593421 141530193 158426379 87063911 1000000000000000000 331842152 29871131 106572134 218701554 1000000000000000000 412832599 101341383 152186860 117985908 1000000000000000000 754766785 116831901 20697728 187709150 1000000000000000000 573797774 182307184 474328301 296916970 1000000000000000000 196997441 17115516 38931237 156069019 1000000000000000000 535493359 13940777 227850829 24994110 1000000000000000000 7354088 5378541 5986819 3806265 1000000000000000000 439646987 3252701 103501250 322845162 1000000000000000000 546660272 39943093 60414142 300666641 1000000000000000000 665105075 199391512 31278069 55608442 1000000000000000000 329911124 6015112 138819348 252599993 1000000000000000000 924681570 695897745 210866410 772473028 1000000000000000000 782195293 335678229 304166614 176934293 1000000000000000000 261772933 3236513 110439367 83864320 1000000000000000000 324111480 276034338 286699643 313112139 1000000000000000000 602691719 492599856 549445473 108357782 1000000000000000000 343743280 248929563 17121015 201241655 1000000000000000000 982481668 81815765 481986655 669164754 1000000000000000000 881044774 830289399 425461281 422781382 1000000000000000000 418587737 165842670 33752671 91040534 1000000000000000000 228015890 62633163 50665741 61960644 1000000000000000000 256139724 95300533 12342182 173581679 1000000000000000000 632699356 190175143 14562325 264281352 1000000000000000000 907089572 657856756 393610217 719122139 1000000000000000000 343820196 15423748 155411313 222839620 1000000000000000000 126240784 86553366 41468917 86662540 1000000000000000000 326279513 246195268 129738594 288751290 1000000000000000000 438804982 266058978 218617373 190631885 1000000000000000000 250750292 83298833 247415438 85722899 1000000000000000000 36772223 35268518 17170275 2811482 1000000000000000000 23554874 4023302 3134886 11724929 1000000000000000000 899410023 800490227 665255117 872777632 1000000000000000000 62644188 5393225 5041153 48655508 1000000000000000000 32907241 29768340 26263054 16293632 1000000000000000000 99451483 10399165 42097582 24919439 1000000000000000000 780164719 595786163 279135217 527114419 1000000000000000000 882008768 180464451 114685742 722383691 1000000000000000000 697253858 565994514 81619228 628169845 1000000000000000000 199464645 69153916 126819604 132292023 1000000000000000000 24319213 10404351 4400333 5059058 1000000000000000000 837096299 179777411 215999081 593971015 1000000000000000000 543787224 438631962 409747812 137237583 1000000000000000000 42393075 32028767 32519832 17037819 1000000000000000000 210954605 123447139 30931866 197929284 1000000000000000000 608751374 508352545 322134819 503052392 1000000000000000000 112933877 37875379 92120768 90093899 1000000000000000000 453288616 428017703 439559754 195533427 1000000000000000000 226500491 170628022 89253674 112004943 1000000000000000000 553960048 537482771 178566551 363177623 1000000000000000000 673842327 576264854 575866312 509640732 1000000000000000000 256171381 183282238 188367903 88381392 1000000000000000000 726652194 219749045 74847023 3353034 1000000000000000000 366316386 277269331 323169334 5087763 1000000000000000000 243859027 176251840 6447095 89127859 1000000000000000000 345566101 148994092 91404339 244891126 1000000000000000000 200428133 143526275 55329736 175599906 1000000000000000000 803780341 63312326 140945947 565057234 1000000000000000000 814254653 690513802 36033518 732248765 1000000000000000000 678327643 434378639 497795474 255199810 1000000000000000000 59705126 55406046 8219147 34484389 1000000000000000000 394419319 94087131 255226412 383318483 1000000000000000000 135250730 77918161 84297797 97844188 1000000000000000000 98993436 87406497 62810301 52963851 1000000000000000000 653681965 289965935 164971199 492669744 1000000000000000000 182687554 144327699 30124483 106236306 1000000000000000000 860188248 630585168 129145809 306948414 1000000000000000000 387819731 136973780 372845068 104627602 1000000000000000000 760083953 28380463 572921088 390079350 1000000000000000000 978852686 487200094 380573817 171675385 1000000000000000000 131353174 112244684 86772955 13424877 1000000000000000000 130670047 32609475 54383504 67116217 1000000000000000000 153344049 122277469 7137201 23314052 1000000000000000000 560615547 343369819 183919 62266696 1000000000000000000 650238784 556627161 571053546 530480028 1000000000000000000 755311070 407401711 352249427 26073707 1000000000000000000 798393295 76875699 530492871 71240373 1000000000000000000 259599033 172083949 185390705 182227668 1000000000000000000 394385604 313975760 131188933 350599754 1000000000000000000 260018527 105176016 151427199 77195427 1000000000000000000 359051449 216210668 60093696 234011296 1000000000000000000 641881798 480531002 136626522 106896709 1000000000000000000 664064460 437070865 254401157 170242669 1000000000000000000 335606708 138516838 300367788 50325609 1000000000000000000 539716946 314585736 70019568 250524591 1000000000000000000 204533241 23833066 139948496 7354472 1000000000000000000 428540825 130373732 277921601 301043080 1000000000000000000 607457479 307950749 264393127 383968922 1000000000000000000 743359072 43712087 737750311 69922322 1000000000000000000 775454036 750430007 583611664 119334758 1000000000000000000 505474306 98457068 275781467 279176429 1000000000000000000 989382391 900615596 797286867 341531109 1000000000000000000 21499861 13583705 737731 1972629 1000000000000000000 29237305 12449107 26031470 9349598 1000000000000000000 108917883 4372304 1823662 51239069 1000000000000000000 214828007 27877502 145986532 123487415 1000000000000000000 614661366 179258834 23226659 231170040 1000000000000000000 684463835 109748590 557681976 441857579 1000000000000000000 233632307 98873221 184348788 63647893 1000000000000000000 246948763 46341057 34798117 8559458 1000000000000000000 860181155 659418670 549340318 533425245 1000000000000000000 927868688 350743385 811098683 803832128 1000000000000000000 654342560 562263346 648008395 531450383 1000000000000000000 789577203 291420459 214462121 641841544 1000000000000000000 268753037 159341734 212923026 177210056 1000000000000000000 476407574 331082707 139419344 21635216 1000000000000000000 843704695 498052147 239912242 603171149 1000000000000000000 17474030 4767386 7195930 14600339 1000000000000000000 572714707 323048057 88014143 508362103 1000000000000000000 716482924 299887572 315855867 424476537 1000000000000000000 784035919 211405383 556062158 384941331 1000000000000000000 876362639 333545326 661529252 679367126 1000000000000000000 170487472 113941327 15988451 58928577 1000000000000000000 641612827 60727268 226896754 452018998 1000000000000000000 383685643 209500956 109158198 9548240 1000000000000000000 816517580 319538229 73252490 350391252 1000000000000000000 927776793 778924661 437321461 456129731 1000000000000000000 847933523 41883188 402812287 649092143 1000000000000000000 751697526 495384086 521797446 152811717 1000000000000000000 781844060 73628560 684480205 77776249 1000000000000000000 817058531 797311940 280002921 797276267 1000000000000000000 564290334 445335890 170464975 115047394 1000000000000000000 493127270 326324234 441597239 423792918 1000000000000000000 552661510 426872234 184470479 227105970 1000000000000000000 815284676 676425398 718984265 527178977 1000000000000000000 835934123 481882498 749903076 731791007 1000000000000000000 987946237 908546751 450996588 788551730 1000000000000000000 363304329 271049547 338908028 184575046 1000000000000000000 157610897 33750724 22055247 135827747 1000000000000000000 822656062 457314611 195924310 146789814 1000000000000000000 936719124 345440604 183908763 524108129 1000000000000000000 705456234 551451410 449648490 555304531 1000000000000000000 785639825 441319986 253088673 557022382 1000000000000000000 723662417 321526330 261521692 636598327 1000000000000000000 557106580 422710995 284572686 463208001 1000000000000000000 494422379 326327807 413223527 283804218 1000000000000000000 361488892 353412180 94954402 231292526 1000000000000000000 337803765 138041115 68207399 153439878 1000000000000000000 366526008 236854714 128683602 354630632 1000000000000000000 717804381 349274095 222578703 550226062 1000000000000000000 785785284 577121685 771622535 778995173 1000000000000000000 616232021 613041022 11792536 71122872 1000000000000000000 101305211 77499644 52833346 11318722 1000000000000000000 628684335 619628601 493263990 582176612 1000000000000000000 968894038 880931067 634810850 115739445 1000000000000000000 428447738 139405528 58547836 369691970 1000000000000000000 890076684 389337720 133450703 251520208 1000000000000000000 21119066 4919651 5395723 2238041 1000000000000000000 451367573 349156829 222009401 103399514 1000000000000000000 281279622 81820163 212141246 245585740 1000000000000000000 483814875 105256630 86619449 453966324 1000000000000000000 209843099 101268341 187327702 6237442 1000000000000000000 264251581 170747874 221543514 203308673 1000000000000000000 66503092 26662465 34461263 58137891 1000000000000000000 544322789 192737965 264776963 305631729 1000000000000000000 137726841 18251593 9258378 134804653 1000000000000000000 788958703 372876332 389541408 8290689 1000000000000000000 668799093 359804728 33938719 6304931 1000000000000000000 642365257 547162749 335761186 232021803 1000000000000000000 140296495 25714339 21687180 18097003 1000000000000000000 825997697 263938470 405592350 234534139 1000000000000000000 473877121 142647580 153489350 334060403 1000000000000000000 442726394 432758510 24858342 84810144 1000000000000000000 972433413 682296063 249073217 930821722 1000000000000000000 227086136 87665401 12078920 101806542 1000000000000000000 344497194 100403840 22007055 28494926 1000000000000000000 130026596 123885119 123144078 77729919 1000000000000000000 330957455 6787872 111619533 143177731 1000000000000000000 400797035 19477864 328834709 354879955 1000000000000000000 800752732 495490061 729615247 264345655 1000000000000000000 320678393 76347820 30643992 271431226 1000000000000000000 939239096 522070452 723563939 766263711 1000000000000000000 600110470 174502923 150222664 530734735 1000000000000000000 430628821 304161548 41651006 283815944 1000000000000000000 781962953 562933614 539687081 440110075 1000000000000000000 993271325 206668142 388243159 684456867 1000000000000000000 499513894 244369620 43922146 282375042 1000000000000000000 529872858 205361440 285451637 391303378 1000000000000000000 964915616 30877952 37207774 70570797 1000000000000000000 445411469 314507814 392991914 252320662 1000000000000000000 192567032 192074537 146606638 23729443 1000000000000000000 110812188 27470336 110811401 30469050 1000000000000000000 257054836 224623949 8719861 152608759 1000000000000000000 375643626 69352618 59897584 183678204 1000000000000000000 520213089 49286938 212831110 279431248 1000000000000000000 304431212 216886010 273160528 106892144 1000000000000000000 333690716 99238258 178162817 248072677 1000000000000000000 300530379 225956712 299048289 292151397 1000000000000000000 259142798 191485294 119420184 224164946 1000000000000000000 30517477 1767859 2359591 25277270 1000000000000000000 998880760 404421388 388092821 236996618 1000000000000000000 75522486 43446029 16226838 45129137 1000000000000000000 589510434 181006364 312591307 311952932 1000000000000000000 114798266 66589208 47691126 34970655 1000000000000000000 356863418 150766477 171294595 303847847 1000000000000000000 502216287 343187305 400110847 11899243 1000000000000000000 979934387 270004153 208662239 292921561 1000000000000000000 281704880 147378119 27587734 131716077 1000000000000000000 452110703 324645667 30610057 111744265 1000000000000000000 443169862 278040971 32703297 30282116 1000000000000000000 471195171 155485737 171880730 64238822 1000000000000000000 298525469 195870950 68187442 195881630 1000000000000000000 509774427 460668319 480793333 498556050 1000000000000000000 206550002 191745919 28273499 125047235 1000000000000000000 466197232 199993185 320661342 27580464 1000000000000000000 852901248 820742781 261172544 52418349 1000000000000000000 776406357 404770812 495805071 517927027 1000000000000000000 603763033 494058016 481746346 38732201 1000000000000000000 706056122 20638492 114468050 67722964 1000000000000000000 512058138 362803610 4067799 302891752 1000000000000000000 155385299 67106021 90567707 135458335 1000000000000000000 210443342 170523063 173530859 158596327 1000000000000000000 368502918 26729458 230975663 283236537 1000000000000000000 854970072 673428030 699108196 210030868 1000000000000000000 461944235 158986669 22723209 259832655 1000000000000000000 320819220 175269566 177762530 265689689 1000000000000000000 972506124 814118897 632469214 658247 1000000000000000000 895425771 280339077 709641811 134049789 1000000000000000000 640874829 91191373 550885347 340728075 1000000000000000000 538007973 433822059 25518580 333838598 1000000000000000000 67343916 63865854 58419937 10742138 1000000000000000000 421712142 39883815 386238945 264178797 1000000000000000000 685383878 324171219 204091027 117270837 1000000000000000000 855312992 282853700 738302747 430122160 1000000000000000000 681814212 629417428 640108540 425314005 1000000000000000000 345610608 235904498 318399503 206992991 1000000000000000000 327926510 243935901 212859516 228115107 1000000000000000000 146433898 93733193 51652207 71972304 1000000000000000000 59485117 2769994 6624374 8426490 1000000000000000000 895176915 15525327 395752138 555499825 1000000000000000000 896831104 496681867 246604401 429435870 1000000000000000000 230775896 108940832 136857933 11522086 1000000000000000000 520405611 326236862 435930173 150599420 1000000000000000000 516551856 442242887 337265233 163894185 1000000000000000000 766733770 512514697 67200266 180759412 1000000000000000000 154426238 7138221 147882922 84446991 1000000000000000000 155256940 72779044 81724745 28762920 1000000000000000000 194411304 3019182 101178886 8716110 1000000000000000000 827003554 797191615 228902724 402118927 1000000000000000000 962132665 111710190 724297453 21754818 1000000000000000000 318928734 225785193 253418112 237354330 1000000000000000000 137854881 57493346 99437322 10165423 1000000000000000000 594304218 361181415 13119040 289211680 1000000000000000000 44687364 7244859 26051248 36116664 1000000000000000000 446451077 164246897 303074740 268186424 1000000000000000000 501622047 70970601 314615535 468797356 1000000000000000000 343146734 233275989 298422146 112497869 1000000000000000000 687227624 567275604 586156990 302506999 1000000000000000000 71832691 8788282 28984848 40725182 1000000000000000000 951830679 274999028 583147097 475185572 1000000000000000000 498333815 269671977 77282188 494596607 1000000000000000000 530174271 256668375 263735444 196869529 1000000000000000000 765773682 463533304 22305394 442818483 1000000000000000000 299745955 258314722 50643908 37512827 1000000000000000000 759557248 608075143 143224469 715011568 1000000000000000000 58644980 44376851 37835860 31975135 1000000000000000000 688895175 19694031 63727028 203114130 1000000000000000000 38893453 19321121 2277153 3537953 1000000000000000000 234117574 70683641 210665541 76036230 1000000000000000000 591894605 306323243 512793296 86630406 1000000000000000000 232037962 137869512 85537444 80469724 1000000000000000000 251119235 117360602 141956788 182586313 1000000000000000000 938878149 225203141 489719356 113407427 1000000000000000000 188677650 47960762 72947069 105744397 1000000000000000000 238307796 151206370 31096965 31820459 1000000000000000000 489894640 233150063 222453385 417117400 1000000000000000000 649686478 448872019 612354150 247462382 1000000000000000000 390504674 360267739 27522651 383612167 1000000000000000000 509683035 380868960 199724819 192429329 1000000000000000000 970342299 170438707 464970418 607532820 1000000000000000000 194997781 49224664 18555209 46539649 1000000000000000000 558032675 461761104 514527510 261772693 1000000000000000000 345153933 308605478 224203048 265771823 1000000000000000000 466815067 165180647 45028318 373375532 1000000000000000000 631258699 271496002 133645263 576696490 1000000000000000000 43647408 40497650 19407294 43528859 1000000000000000000 692572450 229965382 402636889 173648927 1000000000000000000 890311344 603240560 605631486 441341813 1000000000000000000 825543007 596217988 246299207 193810478 1000000000000000000 559013024 68433306 426541046 11539353 1000000000000000000 848067836 93494944 732316479 470296449 1000000000000000000 807886865 266692524 188105004 4014369 1000000000000000000 657048376 195985332 636565213 293716272 1000000000000000000 681208325 32772163 115252467 148108282 1000000000000000000 960940684 818424466 631248343 635972773 1000000000000000000 360312326 246094204 64823665 142995874 1000000000000000000 865170727 138845786 370936768 369019468 1000000000000000000 282436532 269243909 124703649 220129917 1000000000000000000 480042033 305178498 472555403 7072302 1000000000000000000 878154541 700952424 36540841 214369842 1000000000000000000 98946873 12618795 66613918 54915346 1000000000000000000 194093636 34441473 177782404 86822344 1000000000000000000 819943705 168399423 142579583 744104605 1000000000000000000 579264651 342364436 134904672 238737432 1000000000000000000 306208682 40482644 43214700 89472812 1000000000000000000 169227432 58406092 113692558 70174409 1000000000000000000 781297124 476719758 673122082 139348296 1000000000000000000 505775456 222251290 16569908 63702091 1000000000000000000 119184845 37103443 110783589 105676278 1000000000000000000 300421947 239543704 177592984 214403272 1000000000000000000 794294713 128995698 607766069 341484092 1000000000000000000 175340032 161311734 32454862 14464389 1000000000000000000 536914544 20390309 7853873 81448351 1000000000000000000 177138818 118513070 36880085 15982880 1000000000000000000 994467626 741931424 801953779 763979241 1000000000000000000 874517493 342905762 529991296 99479123 1000000000000000000 261994433 199387601 4716993 40215146 1000000000000000000 812777490 605925102 55175474 762988492 1000000000000000000 664373684 478926441 616948979 500789845 1000000000000000000 427485100 320859654 92772097 100137703 1000000000000000000 646952953 74350926 90798907 430804046 1000000000000000000 48293289 21525147 33833234 42453171 1000000000000000000 398472910 242470637 385323460 26204424 1000000000000000000 490321408 429959547 68634025 66805463 1000000000000000000 982142532 105720165 438090413 574833387 1000000000000000000 205252836 71302245 96854847 18495488 1000000000000000000 776812229 481622166 618263007 614746867 1000000000000000000 923927117 167160852 299131366 708387428 1000000000000000000 739620767 121439319 386579924 116982302 1000000000000000000 117973357 60686713 100317860 12748223 1000000000000000000 507060730 13768420 226721364 28464903 1000000000000000000 266305455 12932675 4573424 104055693 1000000000000000000 501298429 369742364 243693576 91066130 1000000000000000000 770590376 446507655 609279496 148212573 1000000000000000000 246093898 199779542 137742457 89616715 1000000000000000000 622414519 396449052 363085382 511696898 1000000000000000000 68390638 53410482 284281 32771706 1000000000000000000 100637213 28128452 66217040 40964931 1000000000000000000 149647473 75361349 141606231 103826690 1000000000000000000 550590466 139101881 229003762 196257499 1000000000000000000 446678797 100411939 209815397 347355629 1000000000000000000 850321141 534207569 511428691 19158820 1000000000000000000 755158640 596927010 426355939 713008887 1000000000000000000 265888664 166724211 88821408 54918274 1000000000000000000 420595737 175186121 205372244 405489160 1000000000000000000 846575788 283378379 44040206 363454765 1000000000000000000 300254894 114395004 18339905 147034069 1000000000000000000 812174825 641371852 302418503 460541683 1000000000000000000 30942490 28951633 4511069 15429212 1000000000000000000 385086558 46404087 85663343 127475843 1000000000000000000 796394375 134006753 56210813 21462412 1000000000000000000 785577675 63093241 520679766 47440062 1000000000000000000 381709188 123447952 200460240 236100435 1000000000000000000 590127268 75200338 123982326 50761704 1000000000000000000 63317396 26639087 31750632 35408211 1000000000000000000 13314845 11024497 8746225 9387976 1000000000000000000 172360422 109118468 124255965 81427453 1000000000000000000 335582206 238496563 301700150 227922426 1000000000000000000 194159262 36769274 5807932 169580748 1000000000000000000 779632935 679488095 705784842 26755992 1000000000000000000 977784842 354870899 100590891 720247761 1000000000000000000 699645778 499115055 280913065 212696820 1000000000000000000 370635552 276248218 178695479 17167289 1000000000000000000 536531673 29252958 21644792 261912831 1000000000000000000 954494552 510699860 343652174 579713589 1000000000000000000 794254331 547405732 525401210 110322868 1000000000000000000 549954965 237211687 413985866 476322459 1000000000000000000 673388976 525013438 160155586 221930850 1000000000000000000 270915260 644125 200237955 225995994 1000000000000000000 439943654 371799372 219294732 198920264 1000000000000000000 990017876 434205113 168455855 611380047 1000000000000000000 669648764 111474956 429773643 176022412 1000000000000000000 798501115 488842458 276060403 648379112 1000000000000000000 959966944 777624783 691295858 776644672 1000000000000000000 754013188 291169352 603439586 407455507 1000000000000000000 624950487 214204711 213404180 349899597 1000000000000000000 223478293 198917895 92846448 101912068 1000000000000000000 991212926 667540684 831996433 621719559 1000000000000000000 84301754 68992897 79665431 32735247 1000000000000000000 70600033 26423737 25583967 49119386 1000000000000000000 109367180 60970387 74645840 76743754 1000000000000000000 86714257 48952723 47672652 45519853 1000000000000000000 68289517 45577823 58714415 10224221 1000000000000000000 199679968 71751480 188989730 54291452 1000000000000000000 380133312 222443382 290435846 321127203 1000000000000000000 122383993 92744529 80158157 119802836 1000000000000000000 148535730 92805862 98397325 68290781 1000000000000000000 710418707 292337862 257772199 397868310 1000000000000000000 27212744 10199207 26304677 8192035 1000000000000000000 898615043 847123595 218924771 166335599 1000000000000000000 885131275 590174130 578091958 794529174 1000000000000000000 226196738 123369211 18242888 196088688 1000000000000000000 471609723 40383819 272546320 220319169 1000000000000000000 667998488 29049022 134698633 634597397 1000000000000000000 609459056 602182505 92141615 237062202 1000000000000000000 114537670 13421944 53636235 36215636 1000000000000000000 490281069 145910803 364641402 358557224 1000000000000000000 623461315 176957223 4873585 519886203 1000000000000000000 834583860 243843708 776710827 401295401 1000000000000000000 934765350 765048362 605107991 829522073 1000000000000000000 710950280 664340581 555334234 165499916 1000000000000000000 19257747 18324469 12268969 5971873 1000000000000000000 396257201 288804479 160746366 237519259 1000000000000000000 119220724 35177087 28340206 97360523 1000000000000000000 983799760 604085992 767452834 194965396 1000000000000000000 51482641 47438643 5168126 44935292 1000000000000000000 657417693 86016412 655221419 536751251 1000000000000000000 470441315 233323422 106221939 23179948 1000000000000000000 193117918 100057071 67528586 80920806 1000000000000000000 60549068 20828793 36959789 49246254 1000000000000000000 208862843 26367053 48885438 4241245 1000000000000000000 852404869 528313056 210402656 138334331 1000000000000000000 236544324 22110422 43446991 92609183 1000000000000000000 44470315 7529404 8440259 12803358 1000000000000000000 221648951 155399227 86812451 133220993 1000000000000000000 802002312 607689002 651662857 415083822 1000000000000000000 672763933 425071727 35948523 374845786 1000000000000000000 394086730 104721943 80197818 119719795 1000000000000000000 677906986 525157958 530634534 55277792 1000000000000000000 980785840 18365810 73819649 13638566 1000000000000000000 152009461 134311082 98793998 52554056 1000000000000000000 878573249 164818207 841941561 391772754 1000000000000000000 107287594 95967244 79746958 33386780 1000000000000000000 404027382 389039459 362373042 241503025 1000000000000000000 163769152 3797555 158911114 144503289 1000000000000000000 657943805 633427563 31157938 528773474 1000000000000000000 791756678 773404699 431089555 718388012 1000000000000000000 375627947 322774780 84525131 267948849 1000000000000000000 129416455 80025151 125731346 10704527 1000000000000000000 668585905 425495734 349811177 71106485 1000000000000000000 266628056 177740009 206644170 23388667 1000000000000000000 2844047 1566484 1269433 2747009 1000000000000000000 107012383 49809952 6208238 67905826 1000000000000000000 982695723 672022595 203200038 208566031 1000000000000000000 891780024 710259536 59942289 775721301 1000000000000000000 661505290 4037040 451908774 543102580 1000000000000000000 628457694 81331957 63547944 479539843 1000000000000000000 873728268 248138011 777861092 705076352 1000000000000000000 103898905 32604928 63263966 56754308 1000000000000000000 380393981 203471913 110235787 263658556 1000000000000000000 427862966 215956014 237629461 396816937 1000000000000000000 468188801 16931416 139024381 176369610 1000000000000000000 172545393 140272095 44012295 161152021 1000000000000000000 984571949 158546868 345095157 466832939 1000000000000000000 229845988 95995974 20786294 145728901 1000000000000000000 480801846 110722199 352315162 269364859 1000000000000000000 736423874 266603429 491973308 473046962 1000000000000000000 148739990 12471449 72558096 33946329 1000000000000000000 181226740 42523583 124207841 152905771 1000000000000000000 399051874 101189975 99563383 40582499 1000000000000000000 74514084 41855035 55878001 43022693 1000000000000000000 72350947 49721921 54239558 32778059 1000000000000000000 552041759 257364165 302273401 201631300 1000000000000000000 870447043 523405122 518991758 166211293 1000000000000000000 280155226 95010140 122063177 103379500 1000000000000000000 885110220 414392169 165787064 223303775 1000000000000000000 487252117 62338251 172855947 284126022 1000000000000000000 810548418 597049342 468525361 468635500 1000000000000000000 597681950 160140554 403914402 173094172 1000000000000000000 510282816 254012733 401398963 77859712 1000000000000000000 803523982 491988533 383898643 163946839 1000000000000000000 164985254 153378744 32567844 103000076 1000000000000000000 666260151 466696639 338590538 190500398 1000000000000000000 576928610 57710330 127459589 175119683 1000000000000000000 610753943 134891076 410709954 557217651 1000000000000000000 356987528 256036736 117149292 243539391 1000000000000000000 802681793 705734238 178438490 687086542 1000000000000000000 799073552 84904589 398171273 343732341 1000000000000000000 591107656 294549858 293457706 492619745 1000000000000000000 461103016 354700234 33086904 259151086 1000000000000000000 646869939 174105342 441749096 186700296 1000000000000000000 412303802 189529622 316226399 236874780 1000000000000000000 306245966 132015142 31492281 33315722 1000000000000000000 380972403 263096062 354602249 32222255 1000000000000000000 334556055 3849640 249587844 224567492 1000000000000000000 301766650 157640115 8639148 255059657 1000000000000000000 257836303 222448793 12453599 14820847 1000000000000000000 694467216 265910531 601772340 179774178 1000000000000000000 227615482 31457880 54102386 42293089 1000000000000000000 85648999 71953436 31401084 48063603 1000000000000000000 548562042 498927649 334898828 543458185 1000000000000000000 675103611 443236687 424529849 601404579 1000000000000000000 455711085 228872764 310156997 404149625 1000000000000000000 691091323 619281709 190259882 582633524 1000000000000000000 628334690 425839061 103588071 599458529 1000000000000000000 453110117 253632896 51388126 32566682 1000000000000000000 643114573 440195174 182804420 134583839 1000000000000000000 276318460 125751884 229792608 198546370 1000000000000000000 732528633 112212361 155630643 353751002 1000000000000000000 104950930 19904517 80155430 79476927 1000000000000000000 387379620 139186712 288788406 33021442 1000000000000000000 940173166 274293017 802644816 541475648 1000000000000000000 630732894 472327705 292017440 528475329 1000000000000000000 870604411 260336798 362789507 194703718 1000000000000000000 446654128 348343287 238125674 125950741 1000000000000000000 984489226 796993362 440603178 290783570 1000000000000000000 475045488 220663214 262024509 362563310 1000000000000000000 346444119 199228049 48476600 283056725 1000000000000000000 552706121 62886331 232301746 31063290 1000000000000000000 757244617 618274745 415289120 694668849 1000000000000000000 584067633 77883756 451354605 172981613 1000000000000000000 174742829 100915617 71453572 47652486 1000000000000000000 533563467 442825565 57026852 374724280 1000000000000000000 556093600 17376004 71650789 546105873 1000000000000000000 643279332 47390437 551787224 26853209 1000000000000000000 105467739 41069750 23737366 11314403 1000000000000000000 920650271 302380350 479245298 648171490 1000000000000000000 87403370 21517631 51533138 15294354 1000000000000000000 627699384 530801922 434662272 424576648 1000000000000000000 333631866 122831074 252408953 321095279 1000000000000000000 560373072 363945931 30860909 530147190 1000000000000000000 882470284 100267430 528898706 671670617 1000000000000000000 189551765 168877024 168691067 1666812 1000000000000000000 18236005 7814962 5471209 17462676 1000000000000000000 965040742 421508332 375273632 277238295 1000000000000000000 879979380 159350130 761609834 295351452 1000000000000000000 431416858 87690370 138469208 197786545 1000000000000000000 206943749 166917016 161811754 71905493 1000000000000000000 224398568 9495714 119850504 120498469 1000000000000000000 676625542 558634830 252211130 675323183 1000000000000000000 246745065 131160054 100142556 203237498 1000000000000000000 141542414 96599282 76574757 2520161 1000000000000000000 886692223 353051567 582099726 717136817 1000000000000000000 620555144 116799485 394753772 215731592 1000000000000000000 110626364 40163037 82324647 6428258 1000000000000000000 470092354 293602159 201605536 105767164 1000000000000000000 145098232 143121708 14613788 104102076 1000000000000000000 306457561 77956969 14640679 65385667 1000000000000000000 934630233 406046269 678745670 375892129 1000000000000000000 918644705 54131391 666637723 226543469 1000000000000000000 561523445 413469464 229883000 14337133 1000000000000000000 230315928 27685544 111166828 106361166 1000000000000000000 864996807 95141929 116200362 343250454 1000000000000000000 251257400 183392339 248715662 192803918 1000000000000000000 359737422 20406596 47317024 234843995 1000000000000000000 552542488 526534737 537820207 22875614 1000000000000000000 206489471 14306535 145846309 28021128 1000000000000000000 207315732 37093445 80952733 187639112 1000000000000000000 160101859 114075028 143475481 63101418 1000000000000000000 314038478 225958892 143594331 76559594 1000000000000000000 527222272 421641261 473801595 510910657 1000000000000000000 851378682 242937219 136040179 81759762 1000000000000000000 398731032 112599194 364784017 255143574 1000000000000000000 1031528 862661 1009101 434512 1000000000000000000 986622760 935692905 190498305 216757651 1000000000000000000 944072748 842373733 691105095 484930741 1000000000000000000 186547265 22058210 132313953 143076848 1000000000000000000 181227729 94708076 158739907 124002397 1000000000000000000 194978647 73033057 82844332 106592854 1000000000000000000 28130238 155075 2256133 18405221 1000000000000000000 950241391 462205606 618040549 233415583 1000000000000000000 417386078 46623438 378947449 247837703 1000000000000000000 650543575 146759849 292810794 628002100 1000000000000000000 478131324 109751113 332740506 387925874 1000000000000000000 735897075 225195318 630739932 733708785 1000000000000000000 581579771 417253938 118356689 201440169 1000000000000000000 851145681 272117476 368523387 615185563 1000000000000000000 8440869 2701245 7303247 7125348 1000000000000000000 108701540 104954921 96331915 61814146 1000000000000000000 330079772 288987946 21661624 104612960 1000000000000000000 969978504 529629482 417527440 501955102 1000000000000000000 513716807 108355826 92588648 41239128 1000000000000000000 346452368 243146854 85174844 187567218 1000000000000000000 533611598 60949445 243008115 264039163 1000000000000000000 195697944 186892350 135045060 123541294 1000000000000000000 802730174 736154449 622615618 602847840 1000000000000000000 215773960 163100312 88504037 10704369 1000000000000000000 92481200 2486579 23447485 2136576 1000000000000000000 531800216 309108919 420453701 434463831 1000000000000000000 5392992 1566950 49980 3422837 1000000000000000000 287405019 176392443 185574049 120672182 1000000000000000000 168533804 92361190 111865269 132476836 1000000000000000000 319762238 80811343 186229226 199183317 1000000000000000000 399739288 186796105 338303636 134931619 1000000000000000000 619921607 132919153 139117994 198986903 1000000000000000000 580915046 925743 255800897 530200706 1000000000000000000 262025957 93808514 129780553 208978058 1000000000000000000 881113119 785333210 335203696 253708682 1000000000000000000 164102440 119541777 32579828 29246478 1000000000000000000 751387281 328652904 358896934 92179929 1000000000000000000 175329149 168981374 132187903 71560403 1000000000000000000 247998360 26562748 224338544 158805893 1000000000000000000 125664352 64988406 113108894 75414452 1000000000000000000 575824605 283613446 392425850 561915129 1000000000000000000 283375762 71293789 122342910 14779330 1000000000000000000 137482873 49394145 48213055 136864837 1000000000000000000 157788724 113673908 58871489 84947763 1000000000000000000 746721724 484968749 658302265 282232135 1000000000000000000 937458041 349811828 526185046 828683738 1000000000000000000 812836703 174563346 138595777 660268161 1000000000000000000 531344203 52465566 524721894 40520759 1000000000000000000 338046443 79196028 85086598 252615488 1000000000000000000 211515768 32422290 126846139 140366628 1000000000000000000 118236750 116499657 18607731 72521605 1000000000000000000 10672915 3849413 9695392 9586916 1000000000000000000 607729786 211535512 101518638 10126772 1000000000000000000 510199850 189191551 432128176 224046125 1000000000000000000 521751043 277095172 239385072 284286859 1000000000000000000 601104238 254229162 556706745 71081695 1000000000000000000 172283128 56661009 158436831 59602725 1000000000000000000 435319581 124744607 210306651 389892783 1000000000000000000 565862433 518777054 318556470 66145777 1000000000000000000 28785581 26102909 21995218 5532770 1000000000000000000 743712592 573844882 724043505 342567256 1000000000000000000 724115981 276346076 93224572 579723201 1000000000000000000 152482201 145245044 81479226 66873054 1000000000000000000 212653548 103427888 134383225 179930676 1000000000000000000 912592284 524660026 352677142 211971792 1000000000000000000 801409842 35658424 566886710 175945796 1000000000000000000 520273634 207988495 438551459 124491682 1000000000000000000 87112210 67826565 60871062 54184603 1000000000000000000 378971363 180000710 207944350 209345753 1000000000000000000 65708929 21256281 63112841 22194734 1000000000000000000 43088773 1352747 5571547 11475560 1000000000000000000 719246447 37425428 512202353 337732986 1000000000000000000 88431676 59191299 49580043 44887363 1000000000000000000 523745456 511330547 10699933 500331963 1000000000000000000 726664499 82221836 543505051 127999535 1000000000000000000 777809749 130845751 209814919 416859133 1000000000000000000 694088417 268844753 26119112 544333454 1000000000000000000 877382181 611329322 601842406 153880663 1000000000000000000 648957275 366278885 101251745 413156686 1000000000000000000 477250947 452283426 213186574 250952681 1000000000000000000 204264552 119726315 104568769 16594269 1000000000000000000 488359626 10891317 106001629 50561102 1000000000000000000 408148619 162195656 312309556 277761947 1000000000000000000 598717570 51333969 272492481 12229382 1000000000000000000 447934215 388108501 384755726 370146299 1000000000000000000 108003327 17926276 6775564 872637 1000000000000000000 915859908 574323370 719690631 455012352 1000000000000000000 58520629 16148132 20734021 12462641 1000000000000000000 834145256 723827754 92437997 221580150 1000000000000000000 841965277 794925421 68944292 768598269 1000000000000000000 256859652 230580595 11044394 159087250 1000000000000000000 387083566 382731743 262875905 299209787 1000000000000000000 212279322 155711290 205730760 43745784 1000000000000000000 671600675 389021835 174810389 273157685 1000000000000000000 199144118 79872220 6025198 119525543 1000000000000000000 398159591 221572761 26153803 342203082 1000000000000000000 185356135 54746076 181519057 68947690 1000000000000000000 461379187 119451893 119175273 78625168 1000000000000000000 719116085 133492451 456124551 638035868 1000000000000000000 208121452 54013332 175504197 134581400 1000000000000000000 93716448 59932218 9470219 15934532 1000000000000000000 876944556 241721173 464981480 788008223 1000000000000000000 417529897 39731003 3428211 85837436 1000000000000000000 132928163 110787867 99516929 85347034 1000000000000000000 166978632 26253579 162508535 7405663 1000000000000000000 275719967 201847626 212129281 249052748 1000000000000000000 395848258 78118257 208849751 2464744 1000000000000000000 749345605 492050325 697145230 738347463 1000000000000000000 172454103 171008944 170597879 3833347 1000000000000000000 798881699 80467103 24949783 363063828 1000000000000000000 154609561 128525911 70085232 150867525 1000000000000000000 820467324 43084640 572402725 434400442 1000000000000000000 159413909 38725964 106631392 120049630 1000000000000000000 826617799 734675936 511967413 524344424 1000000000000000000 195779902 50270543 90294767 46054782 1000000000000000000 385489203 186063309 302891557 87809888 1000000000000000000 596614793 275115884 365580476 357934621 1000000000000000000 792752759 260539953 2587990 177200365 1000000000000000000 584889868 374584760 193627364 277504078 1000000000000000000 147423220 48648630 16840887 14764868 1000000000000000000 324085882 191677578 190862446 301403682 1000000000000000000 915641583 709410077 588216468 815992425 1000000000000000000 898839251 584349664 427676301 848637221 1000000000000000000 56065954 3724490 39276386 41164375 1000000000000000000 275537364 199794746 124538598 16493951 1000000000000000000 52284275 48697509 11195101 12968157 1000000000000000000 922392437 123928143 544806088 522317970 1000000000000000000 177231437 39898198 175021435 40365984 1000000000000000000 342699968 164159479 173792664 159317257 1000000000000000000 345116882 25484185 293307251 219312300 1000000000000000000 838012448 199431865 588622639 69195172 1000000000000000000 616865144 321977414 417240764 578189287 1000000000000000000 364075468 180639743 177524504 233325781 1000000000000000000 876924875 845084168 149390296 223414162 1000000000000000000 648351548 597024565 214209976 100686405 1000000000000000000 690224729 40011601 574163593 323383285 1000000000000000000 648059267 623978934 238936006 582535158 1000000000000000000 753812650 555401505 2249102 753550673 1000000000000000000 469443029 324323011 137077223 179544725 1000000000000000000 977971437 197440459 200583815 122562954 1000000000000000000 589473134 399156068 205757944 521282639 1000000000000000000 422244198 167408112 376323352 420916235 1000000000000000000 148074153 87350864 24342185 115631830 1000000000000000000 535579660 184804861 23032836 253693969 1000000000000000000 242210165 85472137 149654833 54187533 1000000000000000000 667909587 290179620 227524198 421990893 1000000000000000000 664285054 445672501 254511273 303463392 1000000000000000000 135980133 61038288 78567190 81871350 1000000000000000000 156664370 82459597 42798299 36282864 1000000000000000000 286548884 159682757 244422928 124488808 1000000000000000000 82295622 37492011 59285621 60519681 1000000000000000000 687392764 142429896 118585550 262991932 1000000000000000000 957520384 57191202 291125516 263521709 1000000000000000000 339127882 122315694 77466175 99520160 1000000000000000000 221787227 102991533 175892823 115493761 1000000000000000000 203607233 60171616 54621255 6826133 1000000000000000000 931490775 814982027 378133284 288673535 1000000000000000000 484789319 117421659 89196515 351518328 1000000000000000000 17351388 16010566 8349731 13085795 1000000000000000000 722661028 28018613 289273454 661345314 1000000000000000000 955544795 586048045 601379152 726811362 1000000000000000000 97351234 5500729 44186747 21771330 1000000000000000000 204784639 84253988 193151707 13588341 1000000000000000000 249397754 178337521 122796911 48757265 1000000000000000000 604757205 496352450 135915307 36120646 1000000000000000000 204109092 148963194 148753060 130404704 1000000000000000000 863744801 560831114 185311648 542132629 1000000000000000000 618602001 284398094 255731235 183406378 1000000000000000000 799843874 672085244 160253325 499263369 1000000000000000000 504854384 426196969 383494964 480322753 1000000000000000000 791388812 221408603 662360352 233904691 1000000000000000000 602237967 232350149 410243785 145578496 1000000000000000000 265449649 26478936 48756272 28081456 1000000000000000000 931606429 358564192 591305237 764742758 1000000000000000000 65991511 38722404 32104244 37300899 1000000000000000000 430568600 302157478 316878494 275002672 1000000000000000000 691846095 566094482 520992084 579850558 1000000000000000000 158383795 107082732 139919410 43030964 1000000000000000000 608038437 196155716 174504810 74769734 1000000000000000000 164093856 39159376 7930923 73535012 1000000000000000000 410936198 195537345 314396220 358948779 1000000000000000000 930734117 487138160 746644154 688832644 1000000000000000000 620186174 480918557 6659769 392205449 1000000000000000000 551567971 367571489 521538489 86314102 1000000000000000000 97389750 77493291 86679352 71478980 1000000000000000000 190485827 112544445 186486897 109491538 1000000000000000000 980319068 110433498 646854776 879833576 1000000000000000000 430491794 180596165 259213452 37522231 1000000000000000000 789137721 54808250 775274680 637170774 1000000000000000000 348995810 26984098 196362275 19564394 1000000000000000000 624324239 308568317 435460098 406939136 1000000000000000000 969175159 930551206 645990856 898894975 1000000000000000000 759077507 488447400 71096007 226259088 1000000000000000000 355618976 218156243 116537254 37224942 1000000000000000000 120653895 23826129 40818295 60877284 1000000000000000000 583996548 106432149 513753541 451323930 1000000000000000000 259121500 122697746 215768519 67208074 1000000000000000000 765805428 80479403 169724760 516234330 1000000000000000000 169834824 50770122 112674501 87586765 1000000000000000000 772133278 520776992 644527911 148422183 1000000000000000000 653996789 347130493 64281795 142799933 1000000000000000000 501220189 222716352 25950584 100979948 1000000000000000000 440386174 42572978 68168963 121792253 1000000000000000000 946524498 432596430 800403926 702305626 1000000000000000000 999698683 188502227 889181095 999127128 1000000000000000000 615215899 321321336 357277860 74264668 1000000000000000000 664147300 185475689 580352531 476521403 1000000000000000000 865218569 407448889 863244778 129040622 1000000000000000000 495026578 233012204 6640145 113144746 1000000000000000000 57194121 43532093 50609656 7628233 1000000000000000000 916600207 422927521 751764283 39022799 1000000000000000000 640989097 462324984 603324479 405697384 1000000000000000000 220410589 108751856 214906266 185698424 1000000000000000000 533844221 212666 137852678 12604481 1000000000000000000 581111577 221638554 122766978 9656259 1000000000000000000 385054964 230425056 282495613 237310955 1000000000000000000 525573705 358768472 111389006 332246575 1000000000000000000 675912903 659326380 646014225 535362981 1000000000000000000 285597305 218346817 134196153 97204233 1000000000000000000 557841847 251292205 557138065 13338250 1000000000000000000 238142942 62444191 122762825 225558817 1000000000000000000 536518889 265855336 350730284 326490718 1000000000000000000 670907597 559809149 574623124 592823966 1000000000000000000 806681420 166847235 777372763 47858683 1000000000000000000 55388896 24731391 18132669 18485280 1000000000000000000 492248217 223983371 323524577 40673546 1000000000000000000 559324096 468960314 251735848 58622520 1000000000000000000 199027975 28566222 138680952 127893596 1000000000000000000 578112449 494215356 571864658 124642956 1000000000000000000 275121370 159994214 45887330 92010369 1000000000000000000 717153993 240488928 392781156 110467438 1000000000000000000 438253350 134036626 56187390 159141817 1000000000000000000 945152653 377899023 310259882 585194661 1000000000000000000 162700713 46690363 94915066 99177594 1000000000000000000 784470604 529472009 210903318 275472248 1000000000000000000 646333763 354081106 561353161 624632880 1000000000000000000 900873706 302079132 317740609 505584080 1000000000000000000 225169264 80982331 13153251 66543798 1000000000000000000 99867611 70640002 19996255 20842066 1000000000000000000 87282680 86287644 27630558 8479209 1000000000000000000 760785761 41229432 237015308 316561637 1000000000000000000 261662659 242587980 153193570 77402442 1000000000000000000 891555094 387138677 83881499 317179251 1000000000000000000 739700780 609225927 630421189 37455078 1000000000000000000 897422064 489540785 704583583 386250965 1000000000000000000 859821548 2851302 117617406 656998278 1000000000000000000 416341585 126606299 365724681 19942406 1000000000000000000 259632976 26401762 234758748 114848719 1000000000000000000 407642495 258894587 76057372 247030221 1000000000000000000 479284092 54995348 475812284 417940079 1000000000000000000 470907275 196671166 354333742 126358163 1000000000000000000 937163486 916444916 781441533 803964234 1000000000000000000 164067186 118396549 20005702 131740043 1000000000000000000 741428771 187734923 466032594 317405821 1000000000000000000 18090362 15335187 14003814 15445978 1000000000000000000 748350659 550175325 596733670 32461271 1000000000000000000 726850407 241047725 117921764 29028662 1000000000000000000 149718674 21231634 42624769 118101452 1000000000000000000 647767645 223407604 501023045 374689357 1000000000000000000 961311590 528653894 355083657 392980642 1000000000000000000 210193001 122740417 106248719 38305420 1000000000000000000 960243727 107351195 278408086 799321604 1000000000000000000 952709576 550561591 785648206 476977993 1000000000000000000 79741437 34095596 24901334 25423219 1000000000000000000 683226899 330300749 189219819 398848965 1000000000000000000 362451600 215549426 139813376 54167612 1000000000000000000 517962760 313554924 39670131 11661450 1000000000000000000 522997079 431697092 467185324 64667845 1000000000000000000 712934793 356737422 424258419 126065262 1000000000000000000 580723685 11731922 96032448 477906825 1000000000000000000 849623735 162068822 762301551 27248706 1000000000000000000 607299892 385894293 299892856 306678664 1000000000000000000 562489342 491853053 379169724 144602199 1000000000000000000 590460455 384106325 108806613 336667065 1000000000000000000 994444727 422643331 647226462 561833584 1000000000000000000 609864520 550558186 29451922 97641155 1000000000000000000 826594835 680726544 76657724 252424833 1000000000000000000 664965292 137089396 301171084 253986550 1000000000000000000 788784610 423972014 60533345 248374743 1000000000000000000 880377062 683151036 457421069 722113221 1000000000000000000 269283383 60697204 10445181 110875974 1000000000000000000 52871800 26201089 7001393 47658174 1000000000000000000 774818345 494427761 149316706 470824829 1000000000000000000 476465535 229410805 11986242 111001577 1000000000000000000 551678571 469625471 224447676 104999621 1000000000000000000 399727007 238674216 65577442 232603254 1000000000000000000 880515871 424378017 797865185 703883105 1000000000000000000 69288568 7180813 58817347 27667817 1000000000000000000 806722615 594663290 349200984 258850578 1000000000000000000 607827451 442937759 486111295 249730557 1000000000000000000 968620137 550430927 375100568 26665293 1000000000000000000 722658033 373861822 530287144 321298004 1000000000000000000 303066303 91349574 242095211 3289950 1000000000000000000 800584210 386319905 692225542 340135300 1000000000000000000 934277156 73431755 368260001 572370773 1000000000000000000 477640153 1788001 21631519 201384709 1000000000000000000 249187719 171337508 36838523 226253121 1000000000000000000 494944609 356731171 411059487 64067576 1000000000000000000 136304972 2451847 84005028 122659325 1000000000000000000 197182444 196638232 72157895 17424944 1000000000000000000 231163397 42760178 104776382 87329466 1000000000000000000 978362229 119484541 420450573 113274043 1000000000000000000 418312240 401418693 214424074 342153783 1000000000000000000 390138966 12296573 89669481 226246615 1000000000000000000 879012841 876238153 655172197 57462741 1000000000000000000 848378603 533727422 436078067 773112143 1000000000000000000 16440094 10419130 970800 1202102 1000000000000000000 144975075 27781295 106157925 140880625 1000000000000000000 410268431 286572822 223587711 101018617 1000000000000000000 94620132 54576179 73825602 62442719 1000000000000000000 527542750 78751361 283010874 152154051 1000000000000000000 554657226 386416810 220930092 191014806 1000000000000000000 664383107 184996047 657986494 429766418 1000000000000000000 543445371 458131499 433687316 289057848 1000000000000000000 206759687 196025388 189997166 99641654 1000000000000000000 102353954 9691189 31343537 65644286 1000000000000000000 129461539 18961992 82817604 78488216 1000000000000000000 363378315 288311530 219140128 322110586 1000000000000000000 273497549 62958180 135345985 253303550 1000000000000000000 782962193 442614721 548551225 606867521 1000000000000000000 342185640 306048435 67003333 318083075 1000000000000000000 646719467 582291396 549978935 318204102 1000000000000000000 234212200 25789680 51840516 55959241 1000000000000000000 853527248 623100635 128677032 720073519 1000000000000000000 263282768 106849526 112294953 248646 1000000000000000000 188912509 129782841 127919355 186397062 1000000000000000000 721139907 548200074 176071492 470784211 1000000000000000000 703434643 219049220 580894498 560045601 1000000000000000000 41267040 6715404 40996230 9660174 1000000000000000000 384443009 257828504 60115218 228387850 1000000000000000000 383076885 295955872 275718517 31361421 1000000000000000000 830877479 549185562 656456233 717646933 1000000000000000000 987868920 424700109 52835510 915631124 1000000000000000000 961597670 774731028 490960881 212699160 1000000000000000000 81237901 77639419 34023301 60995980 1000000000000000000 681078625 365487358 625427645 642562249 1000000000000000000 497267621 128106310 181198380 313130919 1000000000000000000 564063829 338321656 275441215 78099898 1000000000000000000 594375644 486949206 35040188 544919437 1000000000000000000 805062494 68171915 594188597 196859832 1000000000000000000 381089124 242442174 262694589 193113673 1000000000000000000 622652495 292700811 275811486 497048318 1000000000000000000 907800324 484251457 116977616 308665181 1000000000000000000 596254445 536234680 345976067 377512360 1000000000000000000 548143036 98702383 473240680 309636425 1000000000000000000 635975385 477720024 595492183 228829554 1000000000000000000 330200826 269901226 41171109 39439426 1000000000000000000 588657367 237381086 357338691 432402310 1000000000000000000 785631636 686495523 98326489 779546742 1000000000000000000 443098193 267819084 310084520 365020831 1000000000000000000 132364361 108673086 6268812 32614941 1000000000000000000 959740731 546267180 847115276 346572146 1000000000000000000 158193573 17828743 25216785 45702575 1000000000000000000 629282664 165414298 58649014 45643690 1000000000000000000 696634886 470646944 334856726 465786433 1000000000000000000 811091609 319960818 303090714 722664537 1000000000000000000 484846258 362096379 55649722 215851820 1000000000000000000 310420822 232008391 23612198 259339931 1000000000000000000 688382017 48384309 122764673 195525724 1000000000000000000 930053999 889660132 657422502 759913876 1000000000000000000 967421141 408648 779852287 757580511 1000000000000000000 990034272 498317552 532465439 200544651 1000000000000000000 742456075 77873443 529378679 242182944 1000000000000000000 619850050 483581745 81848339 420158577 1000000000000000000 17945160 6455575 11736512 5292686 1000000000000000000 123479168 97861482 40019710 46468619 1000000000000000000 653917510 143805488 60361121 614665205 1000000000000000000 5807568 898001 5020423 2441260 1000000000000000000 717233583 169023091 335978297 191954020 1000000000000000000 564874328 242337193 136114530 6174604 1000000000000000000 345173530 215762526 60903182 61866495 1000000000000000000 913361435 565660467 578584398 781758578 1000000000000000000 387697159 267561640 348696959 151551605 1000000000000000000 830383746 615000241 606293450 203740581 1000000000000000000 822198344 229406543 54271477 111852559 1000000000000000000 335557412 131673818 278169061 224402854 1000000000000000000 235881558 147051293 180590899 64645022 1000000000000000000 235092855 201052319 68956064 170944548 1000000000000000000 125682063 100048536 2903426 117853423 1000000000000000000 810196759 121642712 596734547 729291018 1000000000000000000 72391 67728 33605 39032 1000000000000000000 191533478 90927415 172990120 135008761 1000000000000000000 193115360 134219678 43710518 39770001 1000000000000000000 468878466 395274449 37722744 40041921 1000000000000000000 466735207 185599599 354679033 5181168 1000000000000000000 164983103 127902270 130351967 82071145 1000000000000000000 930920229 735627560 41764482 699334739 1000000000000000000 198057642 173437362 105811012 70894609 1000000000000000000 566033540 297857889 427655127 219633807 1000000000000000000 644313864 6483604 289977028 181333481 1000000000000000000 568086302 263196726 449948989 494403302 1000000000000000000 132656590 110091732 91063686 20567871 1000000000000000000 818445811 632016472 179027061 709487985 1000000000000000000 561925789 329724719 31498996 462036648 1000000000000000000 970330929 87076116 822420193 798120920 1000000000000000000 379335499 355131033 276654668 122690503 1000000000000000000 462181646 140478599 293224809 33486094 1000000000000000000 141840505 44421664 99825200 23184756 1000000000000000000 54193621 36438588 28713337 27216232 1000000000000000000 994802618 33502760 5651081 973105923 1000000000000000000 490630763 429841608 105432068 252234886 1000000000000000000 991958525 638856340 771728089 49480833 1000000000000000000 768369614 267731850 432931368 537815019 1000000000000000000 277246628 28105016 229630245 159124264 1000000000000000000 252743816 174005513 62651743 200332323 1000000000000000000 84869386 71711466 27221754 33112574 1000000000000000000 62425064 7892686 9696650 35784409 1000000000000000000 165642163 4217055 125939281 148372486 1000000000000000000 721574874 196409787 36085983 354358226 1000000000000000000 783630023 267212242 36175312 587298280 1000000000000000000 127784056 21640528 57404906 15178300 1000000000000000000 295769823 54704845 94470642 74300857 1000000000000000000 425775187 149037043 274444311 303395877 1000000000000000000 614244417 605947331 92602435 451235881 1000000000000000000 111765142 9504016 3354986 81001684 1000000000000000000 332303802 7128862 8866610 192394720 1000000000000000000 101277600 82963659 10889346 1309610 1000000000000000000 561127973 12768531 168351019 300485641 1000000000000000000 147632663 126405285 49988437 34607274 1000000000000000000 311403019 92342794 48939993 51492377 1000000000000000000 774034037 128017037 338421571 110062278 1000000000000000000 540366714 359049042 427655322 504910392 1000000000000000000 937547457 108425103 217018227 226210772 1000000000000000000 899631475 227554847 206191633 572421513 1000000000000000000 595646524 113347235 28305542 80103004 1000000000000000000 895214553 407715288 426594242 619308055 1000000000000000000 895105311 17878945 513335024 257177542 1000000000000000000 977675539 736892990 153300781 59475007 1000000000000000000 927002059 374390172 360528649 183361624 1000000000000000000 39019154 36628268 34292892 26845150 1000000000000000000 150186198 131580859 23916952 58670113 1000000000000000000 47163830 21420321 11205072 46793813 1000000000000000000 830984728 676041558 154321779 146326013 1000000000000000000 460798151 302441025 309926262 82051369 1000000000000000000 283063716 47911370 68780806 133339688 1000000000000000000 157232011 150762658 30605156 88569323 1000000000000000000 931693793 893717717 361682013 192074638 1000000000000000000 721948258 72395290 465796260 231948076 1000000000000000000 506512554 87589340 412383322 48956835 1000000000000000000 808783868 709443286 335872035 166067833 1000000000000000000 455088178 315513696 46931735 191050763 1000000000000000000 534014175 522821399 345442820 261903334 1000000000000000000 88962910 50898953 53745531 70178074 1000000000000000000 2836789 1329844 2618604 2750567 1000000000000000000 72955829 70811799 57016983 31017397 1000000000000000000 499920204 349894610 210911876 448895486 1000000000000000000 344998386 1027325 298008427 311476839 1000000000000000000 587649678 484958879 542355968 179024948 1000000000000000000 673061780 600064266 328019269 601143144 1000000000000000000 998487426 491951987 714218138 914563552 1000000000000000000 120670540 8234963 114722409 24938287 1000000000000000000 691113547 121591517 536251630 196001891 1000000000000000000 502162223 422988117 340507336 276674241 1000000000000000000 351647030 304318305 234594436 184991528 1000000000000000000 219272058 140937431 127917240 345610 1000000000000000000 676171359 8173029 651734848 530523048 1000000000000000000 538659300 43460803 64725418 222120871 1000000000000000000 509756371 480003292 121392008 49583326 1000000000000000000 810139847 256678433 6961094 82201560 1000000000000000000 510238081 304580858 83126734 38889059 1000000000000000000 497840971 447533433 76588103 254895815 1000000000000000000 650743400 512637672 355998825 189844850 1000000000000000000 953538578 848195400 778493158 311207070 1000000000000000000 137368522 112896880 62913440 76247102 1000000000000000000 186741731 185794705 159809770 154201540 1000000000000000000 273780324 92618930 260252628 273587213 1000000000000000000 997723415 798676371 364122302 23326917 1000000000000000000 7251659 1220102 6115230 1135463 1000000000000000000 927137976 264920867 705545426 75665717 1000000000000000000 507702305 90855801 431581630 294882876 1000000000000000000 419753382 355070005 82895953 416919369 1000000000000000000 524781544 450010944 58820007 426940201 1000000000000000000 269977175 46674549 73596699 3996406 1000000000000000000 548267629 137351901 188476708 530312764 1000000000000000000 261140721 130231182 91072278 252069996 1000000000000000000 445360616 232900365 436819435 418191887 1000000000000000000 92235093 69165257 67751693 80839757 1000000000000000000 578376697 50773704 21425109 551749988 1000000000000000000 601432863 290425384 584154450 528223588 1000000000000000000 444549284 65762300 292423065 272319793 1000000000000000000 844198567 319274661 334774208 413931413 1000000000000000000 23755196 821864 13136528 16936362 1000000000000000000 767003991 402025124 119488463 337367319 1000000000000000000 805889741 171366067 187031623 214977593 1000000000000000000 660596883 439153192 383806539 403026967 1000000000000000000 141249759 63477748 82256620 139007245 1000000000000000000 368387144 256771429 197949489 30401458 1000000000000000000 954338523 525891460 473638512 91320450 1000000000000000000 824534027 798099544 555895680 7750234 1000000000000000000 175329351 110476844 9415773 89197359 1000000000000000000 593097385 432761783 418186762 470786201 1000000000000000000 10399305 7139883 4429728 640212 1000000000000000000 389602190 176559585 228666456 381585181 1000000000000000000 55523874 31672477 17975400 44087851 1000000000000000000 131204212 119123785 86264187 61368453 1000000000000000000 206010553 83711640 168713550 88823855 1000000000000000000 482466320 348272323 379899792 277912881 1000000000000000000 285773319 198583541 228604754 128568879 1000000000000000000 784084543 651084262 734748181 380490882 1000000000000000000 964575051 380563376 845516382 133249142 1000000000000000000 698858837 27433949 615998103 610842345 1000000000000000000 44274598 8237310 34319328 37921673 1000000000000000000 196683557 136554826 23202552 7766878 1000000000000000000 349648983 250767113 47558102 36571514 1000000000000000000 654881891 629462140 135990931 130397854 1000000000000000000 155220128 19097490 38578016 75269423 1000000000000000000 740999880 348573463 714999087 138221437 1000000000000000000 607164411 168218223 119265329 127183341 1000000000000000000 807341614 355542434 22891800 478303225 1000000000000000000 911295692 494752558 582752582 282755761 1000000000000000000 943340781 377599130 199536411 636442676 1000000000000000000 265309922 140727543 24094187 176988158 1000000000000000000 197491711 156089172 110211816 150594514 1000000000000000000 352055280 80623798 342575529 208038602 1000000000000000000 367741742 311065905 216706939 110434255 1000000000000000000 722931290 359087286 455256005 108452392 1000000000000000000 437690198 378336093 32977987 335060187 1000000000000000000 799940592 258582751 448023444 261674123 1000000000000000000 792790350 738607200 756432051 120252372 1000000000000000000 82998896 36918295 80554373 7627734 1000000000000000000 708108068 510119990 279545769 186378802 1000000000000000000 325946671 244251137 282666589 85641791 1000000000000000000 194156254 95105817 39632738 103027079 1000000000000000000 914183423 628594217 225057206 460244801 1000000000000000000 554217472 302000878 416393888 454876147 1000000000000000000 657048760 314244263 176559303 14064085 1000000000000000000 476035799 473407377 95426296 342958118 1000000000000000000 354748291 264408023 301617131 354118485 1000000000000000000 331413423 186997654 25418793 214717080 1000000000000000000 231796751 90923972 191717837 109450546 1000000000000000000 847759651 644766183 142007297 58803358 1000000000000000000 47300392 10000670 17611592 16931397 1000000000000000000 954550365 284202542 688500151 394908288 1000000000000000000 750543210 709567455 344490186 65780086 1000000000000000000 166134559 62418789 88079468 125200612 1000000000000000000 308186835 168220487 81773216 253678500 1000000000000000000 204789683 36020090 35731931 80662395 1000000000000000000 174755661 44269844 173948180 33241762 1000000000000000000 534754172 125829896 447775530 347893486 1000000000000000000 481539030 295847584 273393453 299586488 1000000000000000000 977376299 629666302 102070304 321588156 1000000000000000000 579633503 224997402 435413632 96769894 1000000000000000000 505058242 167114907 25152922 297479506 1000000000000000000 349795581 148016248 326458717 420773 1000000000000000000 264893404 27499338 226057837 217025647 1000000000000000000 613172249 437923337 139496148 491286055 1000000000000000000 38720243 14168489 34650188 12754000 1000000000000000000 221333144 212997074 172410111 91897641 1000000000000000000 501708415 232700069 318475920 291272111 1000000000000000000 223479814 188350712 183997810 29002163 1000000000000000000 981736767 701443758 571085422 60280315 1000000000000000000 162920682 41215161 95482464 69332702 1000000000000000000 856469151 634031034 339165082 565288849 1000000000000000000 452297866 125060050 178223946 233521897 1000000000000000000 835205590 348871234 584901097 6503220 1000000000000000000 433377837 201901470 137052287 267599324 1000000000000000000 368055112 319758696 294400123 246221077 1000000000000000000 631199454 115506639 112648104 610770304 1000000000000000000 942033526 701680714 268506481 797954867 1000000000000000000 458110687 116609242 223683287 358210418 1000000000000000000 818708897 784496289 524341000 428979706 1000000000000000000 422924889 60805115 140156402 257218411 1000000000000000000 706366530 241849108 579255242 511446382 1000000000000000000 76206749 47442296 72992344 16926886 1000000000000000000 755786787 28517004 350670301 372727333 1000000000000000000 573103293 504954523 22289895 507225583 1000000000000000000 629885601 566815077 496039326 419400832 1000000000000000000 695573152 694746770 474200160 628203536 1000000000000000000 837854680 362624027 587549357 79510354 1000000000000000000 259926746 87804767 89154757 242222955 1000000000000000000 317755836 141864241 263085293 89510335 1000000000000000000 254292291 52641600 85748062 106210828 1000000000000000000 128729878 64532804 116508999 106375721 1000000000000000000 802966428 737822157 496830496 621536487 1000000000000000000 147690936 129056598 109198684 135073647 1000000000000000000 31198905 27516529 12498084 10203802 1000000000000000000 614146867 505495409 439303332 570453224 1000000000000000000 954862599 109969540 881395712 439108320 1000000000000000000 80045335 370136 30655107 41986689 1000000000000000000 129952435 124635196 105583148 126064691 1000000000000000000 15910623 7886277 7585978 2636211 1000000000000000000 605887585 25437400 154981271 248231386 1000000000000000000 172219383 142628520 171926549 154384608 1000000000000000000 368495179 5427881 233550716 29293111 1000000000000000000 364034143 55857994 266705705 335477229 1000000000000000000 294994774 249718377 246951191 40256362 1000000000000000000 515682707 129545159 358075500 320394414 1000000000000000000 169041228 38785407 56113545 78009474 1000000000000000000 842790004 695840782 138824217 685504395 1000000000000000000 986574291 573043957 200363875 604985562 1000000000000000000 337703024 56116170 279519782 319745724 1000000000000000000 159249919 133209759 125089243 93627107 1000000000000000000 685466098 362633255 527052161 349038504 1000000000000000000 128531194 33388385 16081478 19061119 1000000000000000000 96301596 11791914 19824081 82670198 1000000000000000000 47869215 46255427 44934743 37094176 1000000000000000000 863316854 154241909 445782436 382958452 1000000000000000000 312235246 141750732 104131672 169995891 1000000000000000000 216452655 26407960 187334959 13903641 1000000000000000000 850347209 384836964 452938451 481274232 1000000000000000000 971019627 868677190 211769671 201712433 1000000000000000000 12052531 3425526 6592780 7198996 1000000000000000000 813560094 760542894 292741324 720094047 1000000000000000000 470241423 301245590 1579478 44965926 1000000000000000000 923950684 319688088 410243100 109565973 1000000000000000000 464654248 279447541 248253347 261927077 1000000000000000000 943080036 300976074 916032793 790741286 1000000000000000000 855910388 22956476 667158281 144848872 1000000000000000000 905062722 144910109 20354139 259668718 1000000000000000000 324445300 116154613 22423054 131097318 1000000000000000000 626550584 606883921 176419849 444763699 1000000000000000000 243311248 226875337 98490497 58685980 1000000000000000000 148633476 77418657 31249025 57151289 1000000000000000000 499967687 59175138 145861869 375748762 1000000000000000000 760736491 458001253 447342228 336301674 1000000000000000000 233574680 154798659 180034721 96433799 1000000000000000000 503026715 403621230 67042255 184073669 1000000000000000000 692523194 20277328 246614245 231979097 1000000000000000000 584883581 124346908 556131229 360446246 1000000000000000000 890436745 219657712 454198294 393609213 1000000000000000000 963270570 448821472 399090803 464891074 1000000000000000000 646883769 293803959 610502548 107852193 1000000000000000000 693221146 642446487 593563120 222080719 1000000000000000000 754843283 123808554 5487991 246430352 1000000000000000000 771554157 261814093 565582272 339053180 1000000000000000000 857878868 352484851 416770206 345990479 1000000000000000000 812196813 607258190 277064082 636588745 1000000000000000000 171609149 46184691 41006312 83987672 1000000000000000000 133752500 120868559 50202371 132247227 1000000000000000000 940445507 285099082 103057339 421951475 1000000000000000000 996186545 104995985 606010716 155775727 1000000000000000000 988984398 982130606 640155659 97486064 1000000000000000000 67050859 59920740 25568099 48154269 1000000000000000000 920195057 84115672 226150378 559935960 1000000000000000000 861876272 285465563 310517123 548947112 1000000000000000000 697048158 496240614 257492932 129165854 1000000000000000000 792876879 788537892 310893930 676830996 1000000000000000000 57265863 47492376 54360236 15294981 1000000000000000000 431819256 134392601 207726163 21043441 1000000000000000000 464172924 93276159 206757110 436496153 1000000000000000000 340782001 276449972 45222896 143157920 1000000000000000000 542702286 315791803 415973857 506859908 1000000000000000000 136010542 108229451 67360793 130371693 1000000000000000000 561989559 340828959 128270906 63119163 1000000000000000000 604404075 585498171 177040820 187575638 1000000000000000000 596240704 321215018 228182060 75311341 1000000000000000000 362113426 312132311 70519894 73375942 1000000000000000000 463108550 125183375 43360094 353635893 1000000000000000000 14197284 11189752 8073689 10223463 1000000000000000000 811439090 158270982 419223874 194515738 1000000000000000000 837734822 163380300 24032108 245403321 1000000000000000000 105640483 49841965 38745378 88287890 1000000000000000000 197603494 61094144 149755156 78038042 1000000000000000000 206310242 69345984 31093651 62228615 1000000000000000000 182288114 17585748 18625615 115121064 1000000000000000000 388339158 238819742 308058865 324462712 1000000000000000000 803025901 401381801 16964173 748424514 1000000000000000000 82777674 10526508 59782335 42294961 1000000000000000000 978313503 749440222 906179347 366059646 1000000000000000000 242609332 49795813 108503867 72907758 1000000000000000000 85929937 85334513 50422191 15329831 1000000000000000000 602466557 128306036 507700211 404991893 1000000000000000000 426698598 304804615 276463026 274569606 1000000000000000000 865483964 336165808 687033446 736560715 1000000000000000000 521142213 390649158 64964447 157539797 1000000000000000000 384732751 140878687 54563176 267085326 1000000000000000000 686781590 267681911 483859832 651482398 1000000000000000000 742038176 448248501 514975970 256067504 1000000000000000000 969586682 540798327 433577898 479717839 1000000000000000000 364038500 218258865 277069309 260332396 1000000000000000000 742600306 282329007 257925499 579574256 1000000000000000000 824525353 64308706 189718820 252367581 1000000000000000000 529104551 16983091 153222712 393731142 1000000000000000000 128256618 565929 125284629 119741588 1000000000000000000 135371048 7836889 84324749 86119355 1000000000000000000 956460326 277421144 11154720 560903382 1000000000000000000 448318133 36189086 264384195 245663466 1000000000000000000 533945442 270250277 103966322 465050103 1000000000000000000 219567950 57946660 198036876 55297792 1000000000000000000 904687708 361248771 446538759 876017355 1000000000000000000 774905462 170672782 357563221 263139554 1000000000000000000 31270484 13354981 22927700 29297177 1000000000000000000 944185198 127789309 916493213 853159248 1000000000000000000 237163311 193871481 121252219 155622859 1000000000000000000 397134379 372419026 101144726 159491217 1000000000000000000 271622209 99700829 79503403 13769872 1000000000000000000 772585854 175244682 310203305 552416778 1000000000000000000 663465090 513439995 251880646 222176173 1000000000000000000 411443981 328777931 117847680 100124629 1000000000000000000 961942759 42245351 254264017 83811006 1000000000000000000 883117250 73293763 389845199 187764399 1000000000000000000 624289850 523979750 316018811 494877683 1000000000000000000 334548560 7419785 242526138 107790761 1000000000000000000 886650721 349420459 833372526 202661205 1000000000000000000 112467690 84659553 37917195 46086254 1000000000000000000 931912068 383668606 360701181 221144047 1000000000000000000 502917314 303184155 195697496 382819460 1000000000000000000 496293610 125559888 255858933 473759037 1000000000000000000 767178956 180487560 315970754 755249925 1000000000000000000 158038475 118692713 126567803 28495345 1000000000000000000 906711146 141671061 409801077 843029238 1000000000000000000 269879127 53081548 260626359 29621841 1000000000000000000 546767926 308663460 401486938 458430930 1000000000000000000 528769777 209313242 395372530 265178050 1000000000000000000 326193331 22193091 3109054 224015819 1000000000000000000 141276773 22320857 132431162 115859619 1000000000000000000 535042659 328007412 38030416 103603295 1000000000000000000 857043424 615136005 448148897 249458685 1000000000000000000 474907756 394086948 416183309 35592708 1000000000000000000 232956469 132633682 127584740 93016500 1000000000000000000 915692337 384387870 369714502 771506078 1000000000000000000 835017196 765774235 6422056 61396652 1000000000000000000 287333317 6383007 102791026 155285348 1000000000000000000 378156349 84566935 144674790 103648267 1000000000000000000 43387606 2726172 27566647 28230365 1000000000000000000 700098734 696132829 180398016 437173107 1000000000000000000 343482739 99425261 122788165 39548248 1000000000000000000 811715972 327172430 224094889 725443510 1000000000000000000 612269909 392549275 127448352 232710954 1000000000000000000 223965655 202135202 121372215 95243366 1000000000000000000 704489342 352631470 40077455 431274002 1000000000000000000 50274724 35643048 35439960 39002569 1000000000000000000 42981649 15193575 37755223 16726536 1000000000000000000 578523628 104384108 135976912 573581364 1000000000000000000 705269037 555387640 277257474 7485428 1000000000000000000 651050351 276710088 467021164 491109614 1000000000000000000 635167795 499649328 102476097 53191566 1000000000000000000 219056333 120034492 73136731 167510249 1000000000000000000 952182204 63305187 694036338 686478189 1000000000000000000 40002576 30622543 4030715 34883876 1000000000000000000 237732985 39351656 68458864 11314073 1000000000000000000 110655154 27251362 104712803 66685547 1000000000000000000 36743223 35619492 4612541 36448594 1000000000000000000 204132726 91123242 78780977 182640621 1000000000000000000 615551604 63857979 423238508 598096491 1000000000000000000 184412830 94890950 144165048 107822199 1000000000000000000 643328454 53585546 186237316 210297229 1000000000000000000 417920213 27930656 7940670 319205576 1000000000000000000 586001033 573581337 502396364 164373932 1000000000000000000 932819499 740706434 67798548 860602260 1000000000000000000 880471272 859998113 742796486 485474524 1000000000000000000 141604430 116261766 31948298 127487630 1000000000000000000 149684551 112769438 139738673 85991388 1000000000000000000 632246003 8223140 559001209 371541210 1000000000000000000 407091557 132967250 247799354 82907105 1000000000000000000 67634233 61342114 18186532 11207418 1000000000000000000 739451700 495012731 44988868 705022949 1000000000000000000 708876937 633286991 277565749 557211218 1000000000000000000 320852471 267100221 85345791 202194969 1000000000000000000 567681042 459484615 74032150 201260853 1000000000000000000 135938144 70368309 120408624 41429114 1000000000000000000 763799201 121801272 224919673 317943041 1000000000000000000 634829017 326023899 152809654 548288826 1000000000000000000 234088512 158222580 9214132 117393267 1000000000000000000 507352341 283992967 207545796 298376707 1000000000000000000 525355496 303702467 10577613 27302438 1000000000000000000 59091476 23285419 971464 598502 1000000000000000000 123437152 86944238 5012418 58314393 1000000000000000000 801488299 148766205 420576536 282793515 1000000000000000000 709540991 579703252 708492701 375244223 1000000000000000000 799992157 784628062 694496474 512137291 1000000000000000000 983694777 949167238 275371691 348758811 1000000000000000000 589655328 576276390 225986712 98668706 1000000000000000000 198404214 105983792 13090929 182976909 1000000000000000000 305695991 184283874 63758619 95334239 1000000000000000000 29731566 1072244 26661558 362064 1000000000000000000 340981708 50911227 33273894 287317942 1000000000000000000 395339558 343883759 271848341 73439861 1000000000000000000 501481552 290558692 336544057 249146448 1000000000000000000 884626807 742861123 237010304 452320934 1000000000000000000 590769001 27745302 366985801 298715000 1000000000000000000 178272553 163519917 173930715 89869996 1000000000000000000 922660950 395940346 743768494 378704087 1000000000000000000 717461926 182299059 356969044 689791355 1000000000000000000 55889031 50756771 7919954 13527659 1000000000000000000 476752394 259226005 103436283 348169886 1000000000000000000 204547945 6451980 15409710 119036723 1000000000000000000 805556923 160592071 213631573 31993604 1000000000000000000 787150472 632718554 44156141 19136564 1000000000000000000 97395583 65779539 41496748 77809824 1000000000000000000 705966465 423222727 225437924 602863047 1000000000000000000 232669333 64589932 81978401 149743065 1000000000000000000 212431727 13328871 116607730 187002566 1000000000000000000 16941106 8575784 1281974 4355713 1000000000000000000 23689617 14897680 1289401 13955332 1000000000000000000 934556115 324140266 587687782 500788473 1000000000000000000 425108133 209094861 56894579 413268481 1000000000000000000 585789805 301943992 209704977 380989740 1000000000000000000 274731308 198737042 165817744 228202233 1000000000000000000 187774761 42430602 180731877 4306860 1000000000000000000 547362026 418297867 241519279 215636060 1000000000000000000 199155295 55241747 4293747 69635649 1000000000000000000 476191058 138571318 425285282 298475360 1000000000000000000 677110868 264124062 594712784 237176378 1000000000000000000 827000382 792833989 664061741 291701947 1000000000000000000 378811070 348927733 321180713 23486879 1000000000000000000 795740144 364531289 287871542 554192064 1000000000000000000 822128387 428106615 487691264 118362088 1000000000000000000 136825499 44400464 47620889 121608599 1000000000000000000 937435254 696846262 58467351 247882782 1000000000000000000 386806811 333072360 347331167 40334853 1000000000000000000 755612152 576971198 3951671 606399909 1000000000000000000 547925527 244125241 441344045 252920681 1000000000000000000 692223129 84930152 690031703 476585253 1000000000000000000 436517117 200133772 82178707 131511502 1000000000000000000 928933522 591223472 267983950 231737507 1000000000000000000 674385839 560285097 134928132 268002182 1000000000000000000 589834844 144028479 413750656 522627517 1000000000000000000 79925394 17216773 32931290 18541786 1000000000000000000 155258233 37053094 87768832 144749060 1000000000000000000 586082871 437722848 19490501 471888749 1000000000000000000 987102266 836272718 941874313 781293836 1000000000000000000 842771757 683234616 522517319 32403146 1000000000000000000 332549702 74520005 198514596 199273606 1000000000000000000 545771146 496293131 350858085 516513896 1000000000000000000 99498064 68548987 93861563 23278974 1000000000000000000 693579545 178118896 565716226 548509781 1000000000000000000 162280927 145538144 151181928 93889200 1000000000000000000 864691786 778250209 847774453 742190221 1000000000000000000 56626928 42974014 21163794 37449172 1000000000000000000 478815484 124367653 309495963 66444896 1000000000000000000 531385065 398006589 272233624 494217837 1000000000000000000 803541014 110309321 31849078 603640804 1000000000000000000 164131303 28511848 156118385 145783083 1000000000000000000 222002822 104647882 9234415 142558987 1000000000000000000 882897893 270291832 518815966 344262540 1000000000000000000 314616949 153510966 265384185 81028555 1000000000000000000 120458890 27677551 38891667 26772901 1000000000000000000 61368892 2116697 36030154 15872816 1000000000000000000 975265116 914848639 612162724 634295279 1000000000000000000 783881428 73169426 729741209 470548192 1000000000000000000 619913863 492572720 48263894 599335251 1000000000000000000 485084535 321633342 168449656 162002903 1000000000000000000 173129172 104895232 99693612 169882857 1000000000000000000 972236512 337874286 909495126 609410554 1000000000000000000 779549664 245336739 215113956 453176706 1000000000000000000 732746802 475343501 186935244 553400141 1000000000000000000 771289851 76731958 256748525 551662398 1000000000000000000 222384461 156916038 65586771 143131614 1000000000000000000 899249134 502179683 878333717 585557379 1000000000000000000 925547053 73606335 581761614 743253662 1000000000000000000 441781028 171624965 381895129 250695162 1000000000000000000 567165718 438834920 559322167 353331821 1000000000000000000 413879364 19381903 173271267 93671472 1000000000000000000 872767075 132789010 238923566 794205336 1000000000000000000 911614520 495543509 574535877 514183059 1000000000000000000 98598354 4936075 60983867 59297481 1000000000000000000 618856806 9912060 554652301 31818201 1000000000000000000 40599487 29345865 33660781 40249109 1000000000000000000 361002033 330886135 87148997 45263102 1000000000000000000 482192477 103984441 435203004 213999763 1000000000000000000 959200252 727433338 165425139 218088749 1000000000000000000 54377208 6870777 344002 35151055 1000000000000000000 833946790 709239064 453233996 510669300 1000000000000000000 3135895 2320900 1466766 2665796 1000000000000000000 340881735 107159955 220235343 17584858 1000000000000000000 974933290 173531664 13838449 718814774 1000000000000000000 749855782 207331244 262313707 729484382 1000000000000000000 695753012 428572069 393105217 99149608 1000000000000000000 71071052 54736012 44290272 37181294 1000000000000000000 641184711 340928150 565301796 602201194 1000000000000000000 915734951 569855593 95688763 505100369 1000000000000000000 236733185 15660193 104765297 15544291 1000000000000000000 308891479 70800257 6909627 146285548 1000000000000000000 74162430 58652172 20793598 2942829 1000000000000000000 807599453 349660448 209271354 597540858 1000000000000000000 904851533 753276391 587450535 115861181 1000000000000000000 886417385 664227459 680677597 34387610 1000000000000000000 892691048 600656206 67142892 518394840 1000000000000000000 418715965 335263079 415609530 370851276 1000000000000000000 430388715 405805363 371802541 85036571 1000000000000000000 824934263 578606248 809401220 732677747 1000000000000000000 493002088 254302434 159906196 190234174 1000000000000000000 304861582 154199236 301794469 103415313 1000000000000000000 118733214 55278193 46881200 78849870 1000000000000000000 586061084 200167673 519942087 482945236 1000000000000000000 735002833 287154257 64689859 338456560 1000000000000000000 708201511 128065111 413802152 8874765 1000000000000000000 922504309 797807760 155541308 872825924 1000000000000000000 703206975 267144976 404752765 342829177 1000000000000000000 268885965 134867822 118598503 194922422 1000000000000000000 661363911 548299735 500735065 30092681 1000000000000000000 171804129 34112166 136668878 127587831 1000000000000000000 490639188 335499369 183302932 285524886 1000000000000000000 964278744 315934744 456844850 413122526 1000000000000000000 611199794 302188855 73185600 5146813 1000000000000000000 316059455 258999481 85054089 140719935 1000000000000000000 560574883 187650588 109295311 281410638 1000000000000000000 581342321 311985262 80305139 150557770 1000000000000000000 683395146 11668018 425991208 484282148 1000000000000000000 872729613 297342798 817157070 163141450 1000000000000000000 449952428 56971120 377213202 300815580 1000000000000000000 444391250 372116988 6624659 408446677 1000000000000000000 425570517 351491187 152667200 315385663 1000000000000000000 393553498 200247666 254738944 287957688 1000000000000000000 825664992 510572151 796145344 26251002 1000000000000000000 504629472 186144455 37328045 460205553 1000000000000000000 142383811 28866862 37359919 8775870 1000000000000000000 174500909 30002449 94094566 9887874 1000000000000000000 374329472 288824506 207411134 11144476 1000000000000000000 906996494 313885587 550295111 652187099 1000000000000000000 441130777 378016270 121733439 57704686 1000000000000000000 717818593 47289957 568841110 607487544 1000000000000000000 842828200 232680855 832296028 646040411 1000000000000000000 652864743 189648037 454722037 17459935 1000000000000000000 983700134 21213268 770313020 48601191 1000000000000000000 467191471 145219296 219415459 451059414 1000000000000000000 524695068 221293336 79546898 115572916 1000000000000000000 257605740 246737423 3081001 183875225 1000000000000000000 141316993 85211981 57964558 65972411 1000000000000000000 663866350 203126626 515284178 28206493 1000000000000000000 972018251 364729134 793537196 390249765 1000000000000000000 861200482 263294072 452669844 785216304 1000000000000000000 119607349 99893932 63676064 64860568 1000000000000000000 825432480 737920496 411553978 534810698 1000000000000000000 880950209 722446423 253158143 701289455 1000000000000000000 857180142 788287273 641384805 743392120 1000000000000000000 887274880 774606812 676437596 290258027 1000000000000000000 709550378 663226364 519279841 467528158 1000000000000000000 758263991 637279808 455291700 380634362 1000000000000000000 878838999 10014544 225935445 289043539 1000000000000000000 217062431 136885375 74953083 200383939 1000000000000000000 206136176 87736615 140468475 54475981 1000000000000000000 991713010 625411287 335345336 299801754 1000000000000000000 991186270 478280454 511890377 281099597 1000000000000000000 913637677 301164446 475151827 889088988 1000000000000000000 966561929 613335173 963601502 727726493 1000000000000000000 831613999 484629936 194455452 455392511 1000000000000000000 924174740 734360146 910972708 347913003 1000000000000000000 239338724 151603259 214187081 212824549 1000000000000000000 739609982 402764182 661832698 174080427 1000000000000000000 372960739 51466983 24695783 39855782 1000000000000000000 163828633 19808586 65533727 46398103 1000000000000000000 357171419 248482063 294375359 191429115 1000000000000000000 644273266 210309303 242503995 32184845 1000000000000000000 963951748 499812859 948822213 537443016 1000000000000000000 840007978 189223249 548897093 580901179 1000000000000000000 207812175 5140493 53123448 169570259 1000000000000000000 188805269 101425410 181348228 94651497 1000000000000000000 718248091 233753287 50403910 556658924 1000000000000000000 656188796 74014885 18022355 40114331 1000000000000000000 812225890 707949390 281737022 680612506 1000000000000000000 131911309 41216225 55888667 56088119 1000000000000000000 541989728 443585111 420039131 501357329 1000000000000000000 47816645 17709905 20367765 42551102 1000000000000000000 105763365 105201174 32538248 48362340 1000000000000000000 139449130 48519200 104236908 75598163 1000000000000000000 793952869 401101620 740822662 747803808 1000000000000000000 122113584 118273010 7265957 53316703 1000000000000000000 383692395 173598959 5481198 59792325 1000000000000000000 260764658 101429210 235738390 65559441 1000000000000000000 922560265 257444395 357281205 382489474 1000000000000000000 360116732 80925247 333564331 73303982 1000000000000000000 25916662 18255302 4549361 9690244 1000000000000000000 430733280 51951 418315806 274358769 1000000000000000000 80692139 51798943 16966625 2489249 1000000000000000000 900974896 63506030 492621844 521316523 1000000000000000000 356813808 244057138 272647128 104802513 1000000000000000000 730912544 608863807 651294439 726226292 1000000000000000000 238266192 215474929 230431092 190583912 1000000000000000000 65015332 43369664 60280767 29660902 1000000000000000000 489294006 18428446 115391996 456412917 1000000000000000000 278233730 36805700 199680712 195956009 1000000000000000000 181093648 104112161 60488855 138850743 1000000000000000000 490069421 284132619 153820242 356082782 1000000000000000000 786241584 561234078 279409608 677753865 1000000000000000000 868333478 411139341 248419496 36100587 1000000000000000000 97326965 14021077 55529371 68074499 1000000000000000000 686437689 185236254 103819355 216559604 1000000000000000000 449096112 439067302 78190907 123916957 1000000000000000000 10502718 230795 10458182 10033683 1000000000000000000 450276244 317788609 114333846 127905517 1000000000000000000 76638904 59462968 51001053 33853681 1000000000000000000 840616642 82598660 330139865 379844705 1000000000000000000 693702152 146194962 172881850 147760913 1000000000000000000 7723789 550889 6740029 1071621 1000000000000000000 886370026 394065067 37790535 354724264 1000000000000000000 54130887 6783344 45929381 17074344 1000000000000000000 970182568 362434852 343993546 82046685 1000000000000000000 871769425 337481585 7747978 145388364 1000000000000000000 575891977 337976053 2319175 18051999 1000000000000000000 777379276 201261341 760490668 602658548 1000000000000000000 471069030 326172119 252408295 462701559 1000000000000000000 421601039 272199104 292434683 15879634 1000000000000000000 34281654 22939028 26077107 28012774 1000000000000000000 635809512 481466353 164071719 506986347 1000000000000000000 112665047 69549458 17175579 30379336 1000000000000000000 395467461 129608007 352396362 189256046 1000000000000000000 421780483 400475970 114594624 55520257 1000000000000000000 220137928 20519034 149330399 16460294 1000000000000000000 258182126 30799455 214199561 223364657 1000000000000000000 51001657 462598 39955666 32101508 1000000000000000000 432894950 174215083 127881713 109546276 1000000000000000000 193492680 123471584 29971644 68743081 1000000000000000000 629123023 417720183 26288800 347199693 1000000000000000000 100125857 63076116 6632003 62292267 1000000000000000000 442037212 213803334 330324393 222898143 1000000000000000000 682955092 651298762 602121872 637387924 1000000000000000000 778693752 213364300 663274210 653211171 1000000000000000000 724008983 243650119 518974137 534513646 1000000000000000000 195212532 81315237 180418975 93853936 1000000000000000000 978109653 189747390 547505068 788820277 1000000000000000000 829201386 175710122 101920119 339662854 1000000000000000000 489378870 191807961 234135630 98348015 1000000000000000000 638016493 119233725 492199729 677270 1000000000000000000 317566222 234052534 283078588 215487017 1000000000000000000 252266497 203618807 195485842 162284635 1000000000000000000 203035173 121618363 126771688 18242530 1000000000000000000 754318790 38693174 175738910 380624545 1000000000000000000 767373432 350761550 551852456 563573947 1000000000000000000 521214765 142528657 369586260 255779790 1000000000000000000 830596810 309476767 816915681 428712355 1000000000000000000 402585212 234384320 35721567 397198593 1000000000000000000 272979542 246354314 228239474 25848749 1000000000000000000 463534286 70966729 305741941 381908219 1000000000000000000 557736138 311517720 545506598 509935376 1000000000000000000 40360722 37409260 7067537 13697247 1000000000000000000 69596277 68819832 59095765 40509277 1000000000000000000 625885640 359760605 7244161 330318727 1000000000000000000 678658737 521218618 393487033 159406639 1000000000000000000 449570738 344493858 310877256 246866915 1000000000000000000 577858177 140485130 175522154 396870657 1000000000000000000 749243066 671421264 126968646 234824508 1000000000000000000 427874598 58127499 135244811 73409565 1000000000000000000 768543657 642678430 12406225 269548896 1000000000000000000 157772944 88166298 18155137 9100089 1000000000000000000 526280197 293027618 194610647 30508720 1000000000000000000 661086408 561310840 532127489 207126905 1000000000000000000 563503816 205311979 528963498 493562908 1000000000000000000 933019860 344345015 712615240 859051982 1000000000000000000 646210736 271932264 382499149 471301635 1000000000000000000 639068969 491989736 582639302 212748773 1000000000000000000 976589497 47783353 222070498 430211996 1000000000000000000 614547480 449767049 477407388 247419083 1000000000000000000 89170827 17461275 12335558 59075458 1000000000000000000 362294381 61617027 273110180 171088329 1000000000000000000 901442642 782247414 54596272 148426802 1000000000000000000 893772725 89533166 409710629 586124746 1000000000000000000 955876674 822073369 607206133 595644501 1000000000000000000 476592155 409840000 218345736 180109687 1000000000000000000 30402893 28959520 3481869 7599925 1000000000000000000 546061317 143193034 471094160 395745096 1000000000000000000 40986486 12017210 34182592 28049666 1000000000000000000 525477734 462015245 252123045 392643950 1000000000000000000 688880405 44384685 439142510 477010854 1000000000000000000 573331417 30490205 196073116 275838571 1000000000000000000 508098774 369764564 243078560 214176077 1000000000000000000 446480413 302214089 31831625 367475797 1000000000000000000 131267605 111113378 122294893 4295262 1000000000000000000 671514036 446941432 56715196 18192413 1000000000000000000 368978721 343167118 74057466 141734009 1000000000000000000 834401821 374365492 181403599 357277677 1000000000000000000 430783747 143489526 122903293 417116796 1000000000000000000 306677771 14017203 219030835 255616454 1000000000000000000 242588089 225696512 206681543 55179445 1000000000000000000 874561300 191609042 835451177 204233482 1000000000000000000 115628987 21675482 1146960 90000579 1000000000000000000 42109829 11251158 28595370 9503136 1000000000000000000 224141888 162964359 119807983 144732950 1000000000000000000 360669297 166605453 208614437 105260988 1000000000000000000 975629094 772759855 153356360 620958395 1000000000000000000 872452033 173324989 702020561 385782197 1000000000000000000 983641605 704536480 39582679 530106148 1000000000000000000 383530989 257205373 333867332 17472345 1000000000000000000 343795884 164761424 414255 204089186 1000000000000000000 603648413 363377931 195804592 507093321 1000000000000000000 109702750 67078236 19291127 89622617 1000000000000000000 215228668 184158493 162609677 199994541 1000000000000000000 930622821 603007778 543526452 447409902 1000000000000000000 11453581 7096684 2421210 5115906 1000000000000000000 289574339 232606264 86412625 24788581 1000000000000000000 576818442 499507623 192827660 481564722 1000000000000000000 450135123 59698425 239569269 339084679 1000000000000000000 100327062 58881707 51138441 29447047 1000000000000000000 812600550 722688186 21671196 142325980 1000000000000000000 826707856 355212410 684500264 125293422 1000000000000000000 671902209 423885992 292446475 533337541 1000000000000000000 125809654 12758298 93877952 20945832 1000000000000000000 810698329 126818425 206815825 150447611 1000000000000000000 40087223 21583649 1742557 7685157 1000000000000000000 285608764 104109501 151022630 311284 1000000000000000000 673542761 349471848 375935940 177871489 1000000000000000000 589535605 568100 497231803 150782769 1000000000000000000 885449039 224661738 785423749 329189621 1000000000000000000 49736550 32090639 34259581 42539344 1000000000000000000 205100458 171944450 815430 112630633 1000000000000000000 208512206 78115635 24269516 187996739 1000000000000000000 404903208 394682413 202753757 346600354 1000000000000000000 416639916 254318499 358455294 1117667 1000000000000000000 850530466 140108963 695864164 371222315 1000000000000000000 692526996 145968213 650102995 104087431 1000000000000000000 389839662 214639350 304268030 310557788 1000000000000000000 980272319 130069673 51538490 83126343 1000000000000000000 864133826 760549177 452496402 418660735 1000000000000000000 595971059 66953681 77783745 258060683 1000000000000000000 517467838 229916765 87901677 285199917 1000000000000000000 41635487 1388190 3678963 20893264 1000000000000000000 306149352 154701891 145453916 239131553 1000000000000000000 794391092 760750351 573402144 647426706 1000000000000000000 638233263 245083377 143366361 562701596 1000000000000000000 424569100 22695112 250369323 231189988 1000000000000000000 4364886 1801759 1686153 2370017 1000000000000000000 827350149 75704454 493699642 431278632 1000000000000000000 569497952 327659748 394477139 432813230 1000000000000000000 695735701 371394344 222128884 260662152 1000000000000000000 597012372 408134251 322632490 110563525 1000000000000000000 554757851 472356355 109929127 312853716 1000000000000000000 977872176 62195538 866881873 175287207 1000000000000000000 643440844 37189862 579604777 546572089 1000000000000000000 194524002 1281026 143398232 16446490 1000000000000000000 216596960 3795838 210382331 192362435 1000000000000000000 767810040 171026280 651886479 79668931 1000000000000000000 312696818 289440735 94838498 74784993 1000000000000000000 629044206 523624346 90103695 392092443 1000000000000000000 657251082 191510644 520874436 101162840 1000000000000000000 721101511 629838320 241215605 74627363 1000000000000000000 697512267 234549934 132209131 187753883 1000000000000000000 90904510 78590735 45758589 25872364 1000000000000000000 33078613 12153988 28187767 23515807 1000000000000000000 771103114 727021858 292476453 237524273 1000000000000000000 469987252 217017377 90453609 362789821 1000000000000000000 519346681 222061797 49906975 118195069 1000000000000000000 693082526 277184257 227684003 289293855 1000000000000000000 477538079 308242646 257500330 179271036 1000000000000000000 354959467 192835963 259364115 314506130 1000000000000000000 22172356 11944205 2322612 21204010 1000000000000000000 608232180 340496181 423885397 496564236 1000000000000000000 112461656 30191323 43140100 1736634 1000000000000000000 951521300 690844679 737163711 219093165 1000000000000000000 278135144 50585271 6401371 84001610 1000000000000000000 221066614 58084894 129188273 112489018 1000000000000000000 864400671 82913239 463357717 575024561 1000000000000000000 567253824 16658482 406825665 379131898 1000000000000000000 628914281 1775627 529493766 167881986 1000000000000000000 208570283 170320013 159386137 17396039 1000000000000000000 625202739 143027680 27892867 380003292 1000000000000000000 589378236 44865352 536632234 343830304 1000000000000000000 202455758 116144834 140833734 80450993 1000000000000000000 298164520 260332632 5659528 109944299 1000000000000000000 942841343 831399842 78177252 341297507 1000000000000000000 598708427 12931599 370031111 8059570 1000000000000000000 391432092 251269683 147861886 24834074 1000000000000000000 170891254 52908825 4185008 71237285 1000000000000000000 268756003 44258147 146577722 12829720 1000000000000000000 718126315 704694246 197568879 65176069 1000000000000000000 666531604 607684564 22989750 269815570 1000000000000000000 62221408 5041033 50643413 8751697 1000000000000000000 331652713 48150347 241239363 237310772 1000000000000000000 606384334 449855945 286343666 201514300 1000000000000000000 818766833 222553440 712996739 648662362 1000000000000000000 985415805 369638567 350245052 819355149 1000000000000000000 782265963 725078633 231763324 547318191 1000000000000000000 793034047 340828205 375207384 7603021 1000000000000000000 628137059 215695395 205444952 433246265 1000000000000000000 431443942 245413455 392373835 268865662 1000000000000000000 420091423 262864158 336708071 328169781 1000000000000000000 708374262 442641416 515994162 410027715 1000000000000000000 694163515 654117012 687506119 222648826 1000000000000000000 654505019 149877015 71953440 633047005 1000000000000000000 927225758 46056543 350699254 264740952 1000000000000000000 206573615 182986474 161405666 78874271 1000000000000000000 186941348 43941738 142509849 81082007 1000000000000000000 162713036 140165865 62009222 74728255 1000000000000000000 197553884 181115816 40379000 193589846 1000000000000000000 435972995 298126954 172759269 48700269 1000000000000000000 159932922 125359060 133980527 8614278 1000000000000000000 589239435 491837556 425703472 196688768 1000000000000000000 821799668 765482718 144942251 163698976 1000000000000000000 466304876 82424481 120247807 207566864 1000000000000000000 143016272 141250100 120473181 5917564 1000000000000000000 522501510 174334546 350680671 320492177 1000000000000000000 275594792 66385101 10573790 176509421 1000000000000000000 587582639 185296189 197917987 15032090 1000000000000000000 301522264 265626146 135934204 84590799 1000000000000000000 191644863 6364855 54994747 74789596 1000000000000000000 387638553 126086123 247930025 108938139 1000000000000000000 113839134 91253690 70599116 86066876 1000000000000000000 687162978 32688311 129426402 177259927 1000000000000000000 264597968 230491886 133979028 251842722 1000000000000000000 554618785 266188950 412797304 128783089 1000000000000000000 426374339 15561461 359610577 329797238 1000000000000000000 852573456 12248245 263206269 548366403 1000000000000000000 430289663 53015833 318889107 352376419 1000000000000000000 907710198 591183568 851143592 624536033 1000000000000000000 192704073 118551985 802052 123123969 1000000000000000000 823189104 288372169 197741920 74339573 1000000000000000000 495009413 317064675 102064305 64874268 1000000000000000000 708097713 518635370 607678356 355404836 1000000000000000000 792949590 245806787 238328293 39668920 1000000000000000000 905027607 466434676 608174726 751226789 1000000000000000000 610770155 10719850 334237124 462138564 1000000000000000000 858867656 384020927 60217091 209284618 1000000000000000000 473210567 171435580 419413922 131876120 1000000000000000000 502810184 329830161 76637956 327413872 1000000000000000000 451452806 385225898 1080957 14981101 1000000000000000000 560983370 384194817 462478540 493019398 1000000000000000000 135770505 89925133 65039030 65460754 1000000000000000000 331853750 220741992 129756536 211110115 1000000000000000000 546228856 58742044 29647039 321888965 1000000000000000000 420091595 200466420 194531832 345947277 1000000000000000000 391645756 215634569 58098671 283870705 1000000000000000000 336205715 145966518 29542822 241013598 1000000000000000000 830456424 412776316 395635657 365508470 1000000000000000000 623512760 193704784 615616747 56503570 1000000000000000000 128919497 85950718 7195298 78931113 1000000000000000000 291269627 195920517 244846637 194975943 1000000000000000000 492525987 78205835 328435162 443130439 1000000000000000000 155451308 70755854 117627609 27457710 1000000000000000000 610565763 367911931 439695006 186375279 1000000000000000000 167247827 75743202 56966002 155335033 1000000000000000000 881883858 811979529 863249127 370082790 1000000000000000000 582277915 345053131 141880331 513082646 1000000000000000000 297450510 83190713 38922746 173181240 1000000000000000000 693109042 502902723 78517848 297008235 1000000000000000000 648234248 513723538 598252404 277498829 1000000000000000000 83721807 37480934 24910027 63895504 1000000000000000000 917530161 263113997 700968990 764157902 1000000000000000000 38566051 6410890 11396664 617740 1000000000000000000 481526675 251901077 103573303 364957601 1000000000000000000 231458814 213306926 168827679 126629449 1000000000000000000 463669889 13697074 67747764 57396234 1000000000000000000 641779907 370152745 340207457 313868860 1000000000000000000 879679253 419564035 114338972 666731722 1000000000000000000 136134998 118041361 113547166 52115354 1000000000000000000 761082197 277659330 184956034 652666407 1000000000000000000 457692929 29917121 238149953 230087735 1000000000000000000 913775993 310376313 860838062 170665708 1000000000000000000 460496834 229059381 327144574 120116394 1000000000000000000 786061377 5713507 510131357 165026433 1000000000000000000 438730832 258166602 145639233 328369837 1000000000000000000 288146417 111347185 176917578 53398370 1000000000000000000 154537293 68734121 20076339 28640345 1000000000000000000 925975435 175222505 624158768 554953646 1000000000000000000 837704283 411192116 49662951 712436380 1000000000000000000 15674634 5182287 3509031 15369264 1000000000000000000 850969118 756138098 518833258 521643550 1000000000000000000 186979851 8529037 170834715 7726232 1000000000000000000 700180000 45643540 462492428 545100492 1000000000000000000 498841485 173183588 50594944 195522705 1000000000000000000 320580931 143359212 68222735 198266794 1000000000000000000 503531877 183713277 293376344 455714951 1000000000000000000 37199651 23216241 25774483 9461188 1000000000000000000 874752458 7090435 26472072 298373139 1000000000000000000 749098258 745878560 268084083 310957608 1000000000000000000 122623527 27466831 117077151 86438102 1000000000000000000 667186822 137062608 143942605 80728974 1000000000000000000 392783523 267292114 78325210 121676444 1000000000000000000 832899788 212751064 494229618 250329874 1000000000000000000 156064204 110814312 84274708 28259891 1000000000000000000 749876547 208265916 441786750 192146713 1000000000000000000 173012850 20254795 40634357 84954793 1000000000000000000 44936870 34545369 35457862 7849360 1000000000000000000 369727100 292023287 359591500 344553514 1000000000000000000 425841143 357713857 200718431 74133019 1000000000000000000 498225789 2683263 221892441 197973815 1000000000000000000 227890970 97699699 33569687 92941653 1000000000000000000 793005592 140661534 242951890 18586974 1000000000000000000 357841325 154751673 201206564 176981589 1000000000000000000 251194831 64639995 242700284 178101020 1000000000000000000 238188904 68814192 38210796 227894891 1000000000000000000 731501841 492590541 156072882 722286595 1000000000000000000 782957011 69188183 656324028 564025112 1000000000000000000 780631449 8536357 120760709 671327948 1000000000000000000 924907408 531217013 733511998 606946912 1000000000000000000 414330822 360841635 406999445 214400009 1000000000000000000 34606525 22757956 24297132 2714307 1000000000000000000 658643251 652591219 196966886 477200726 1000000000000000000 993886393 59325957 25376500 857823806 1000000000000000000 780690124 22787346 703603150 684642392 1000000000000000000 354278674 314862132 345243684 106481114 1000000000000000000 392026500 340213918 62054466 217634937 1000000000000000000 817694264 294385898 679937500 392096142 1000000000000000000 98538508 68223663 98403934 41178496 1000000000000000000 632910963 528280186 105066156 263212527 1000000000000000000 126785296 85887060 12369386 85630827 1000000000000000000 232523268 32382354 73934459 113170594 1000000000000000000 890734686 569292921 705901535 226209099 1000000000000000000 704879768 420473484 224125826 566407500 1000000000000000000 116420186 94066161 7071005 105394109 1000000000000000000 513678477 199348858 142578770 484132586 1000000000000000000 616615006 381739223 138811215 308027837 1000000000000000000 208718225 53713293 190411954 133465625 1000000000000000000 305558253 223561637 60955125 225553638 1000000000000000000 721943336 562413973 62879350 195089235 1000000000000000000 456110667 81803153 256359800 397166232 1000000000000000000 76891923 44353675 894556 16504408 1000000000000000000 583058682 70124397 518498832 409645202 1000000000000000000 676621847 144117030 187484691 479883353 1000000000000000000 441783789 190103898 391421944 52869285 1000000000000000000 156118068 1541591 133296655 92587539 1000000000000000000 790721384 665877080 595055535 268636709 1000000000000000000 896819295 711258215 780959693 154428516 1000000000000000000 368069508 179303277 148687669 6022907 1000000000000000000 714759510 332208116 88732523 203263724 1000000000000000000 874829601 781051805 18657161 321088114 1000000000000000000 850858820 291999638 653471460 518182519 1000000000000000000 443423556 196976531 360463906 16318662 1000000000000000000 811913780 340782829 758997763 746642680 1000000000000000000 751873963 607733784 208566322 266851167 1000000000000000000 637098292 255882907 188128329 392135226 1000000000000000000 554250776 87109201 100578382 346100058 1000000000000000000 52621645 38761595 23815099 50197724 1000000000000000000 836548643 375847050 176374343 217867842 1000000000000000000 82031750 54844498 33484689 13695115 1000000000000000000 120325433 13037064 12239128 47705916 1000000000000000000 449410977 214342828 100285941 204935557 1000000000000000000 702489099 83724326 370470898 489078185 1000000000000000000 924496847 615567935 673113453 506217721 1000000000000000000 527587562 427581842 128903340 352768491 1000000000000000000 111026414 96613496 65005333 7934435 1000000000000000000 468985665 159656845 106785499 138367943 1000000000000000000 853985773 350092078 730000317 848690619 1000000000000000000 726443622 305638025 240841630 317013729 1000000000000000000 51938427 13728066 18012361 40774888 1000000000000000000 818848718 805432851 498906058 776293152 1000000000000000000 668832403 279169587 387236488 622343790 1000000000000000000 696461101 406492081 176376856 204032773 1000000000000000000 322133463 210820525 163603563 280385904 1000000000000000000 193512713 95413664 20954294 84784533 1000000000000000000 403601030 350609929 336950602 230008535 1000000000000000000 740402515 642438112 95511100 11040760 1000000000000000000 387225708 112030670 180781826 164333352 1000000000000000000 168028771 60230825 7179267 73083634 1000000000000000000 648549804 604672865 27396159 370266947 1000000000000000000 395131043 236434915 390052597 113664439 1000000000000000000 555754085 295760118 68028099 149376132 1000000000000000000 335213688 134432138 247381285 132778721 1000000000000000000 332458373 186854204 161498404 255360602 1000000000000000000 251705411 183097088 228248321 33548273 1000000000000000000 386041741 171818898 11088119 177001125 1000000000000000000 972998854 959614397 61309309 252777998 1000000000000000000 500036931 497028892 243274004 128711593 1000000000000000000 128379983 50240302 124926815 60184317 1000000000000000000 610195244 569883992 552806093 7673009 1000000000000000000 782414672 657208843 169362347 504034970 1000000000000000000 463720199 256253257 222500352 426745809 1000000000000000000 263010180 98026678 86908469 206439550 1000000000000000000 851847683 235724163 37637941 534652222 1000000000000000000 341458427 66957836 315149724 241545642 1000000000000000000 655710172 596697823 188422046 619100263 1000000000000000000 118716834 72977308 51887544 66998127 1000000000000000000 641676690 268103698 406143936 63397866 1000000000000000000 213582888 58896760 180171283 47511313 1000000000000000000 970569266 623112879 105687933 496881980 1000000000000000000 538536733 269658685 42131032 100541816 1000000000000000000 217536973 141341782 55154512 115575194 1000000000000000000 643593513 149424861 345784547 200518562 1000000000000000000 179475359 145252852 40866618 40581213 1000000000000000000 932526900 459795247 159235684 558258960 1000000000000000000 772714097 193108739 133522673 582321848 1000000000000000000 275332151 184913041 168165622 135807090 1000000000000000000 818037772 256658027 193178353 482147930 1000000000000000000 913031058 254995607 470846126 79972040 1000000000000000000 996332171 559970506 549217498 800012997 1000000000000000000 874486141 391794097 115637185 79860898 1000000000000000000 403157558 341240525 318595879 329403703 1000000000000000000 407078788 183766473 243783770 191236739 1000000000000000000 362799452 81302881 191888209 119129603 1000000000000000000 987384674 181590231 851189107 935858052 1000000000000000000 833363437 830451164 585132301 621015012 1000000000000000000 627646945 48955250 498994194 493752962 1000000000000000000 840180687 57961156 579594143 515366401 1000000000000000000 509148568 213334915 15743611 318726712 1000000000000000000 440980205 303181531 330594058 344325575 1000000000000000000 356628674 81937471 265819298 323372958 1000000000000000000 719244543 577147171 308062639 164658430 1000000000000000000 645039694 113614904 214204108 527063272 1000000000000000000 651214939 356209141 115292241 48142311 1000000000000000000 856468468 428684004 818057027 585555520 1000000000000000000 272981164 69492345 136730349 99591271 1000000000000000000 198656603 93175032 3964421 123070899 1000000000000000000 8305112 5039364 7795652 6260381 1000000000000000000 263177307 194162921 57533752 198252887 1000000000000000000 735990140 706909059 123039491 340072816 1000000000000000000 798886767 749431604 492968061 753037284 1000000000000000000 230324649 201909053 222023481 29060243 1000000000000000000 584440327 102394918 313199470 138499629 1000000000000000000 388501796 208404179 235844705 148405797 1000000000000000000 935968905 96656160 303689653 849951161 1000000000000000000 380686228 300604309 348278995 355819305 1000000000000000000 559871128 446908648 78042161 336060933 1000000000000000000 500287121 434268403 438754315 367438870 1000000000000000000 716947129 109857182 165822781 380207277 1000000000000000000 311239806 310656655 182536228 246609256 1000000000000000000 754086796 163401660 429424610 727845192 1000000000000000000 750838175 735654732 680097540 2203150 1000000000000000000 907617017 334882022 557055967 277366428 1000000000000000000 906706609 729738900 32732475 39575991 1000000000000000000 108448186 81011357 19200176 49711504 1000000000000000000 453160785 15427584 155075964 448891948 1000000000000000000 611468306 237766517 122384743 54965919 1000000000000000000 590101968 41087921 320889423 584946403 1000000000000000000 835837013 811030534 57024502 820095692 1000000000000000000 551985001 448972010 352209771 116556316 1000000000000000000 983051812 695222703 701833169 137654744 1000000000000000000 526704912 456010937 170263764 94584542 1000000000000000000 654752730 167356130 120472464 247725209 1000000000000000000 769404151 353734612 95114514 74764741 1000000000000000000 203525819 112123800 13478004 18754228 1000000000000000000 958839743 245972901 917810720 379913269 1000000000000000000 614266531 33259949 530196826 403568272 1000000000000000000 757673220 638257990 632866146 541208566 1000000000000000000 412478835 76520977 143838306 397192154 1000000000000000000 526744299 160995275 301568136 245934773 1000000000000000000 774329251 121880183 218542653 444746906 1000000000000000000 344861445 198404849 141800340 54611559 1000000000000000000 413718559 328154420 106340087 159816699 1000000000000000000 623410867 36988858 341967480 602953979 1000000000000000000 884456441 626788690 22513667 58121832 1000000000000000000 37186565 19835974 22797605 25401738 1000000000000000000 1172321 544175 1092882 519187 1000000000000000000 544813189 250676044 369454579 504112179 1000000000000000000 514494653 206749121 139724951 141080251 1000000000000000000 63764301 33526544 50927605 47907097 1000000000000000000 920082114 63285247 92169154 128668400 1000000000000000000 606155008 131390191 298444032 46971550 1000000000000000000 309694404 4468824 209428513 275770239 1000000000000000000 824362453 655542922 360887027 283856754 1000000000000000000 692951437 671522798 60511186 677180476 1000000000000000000 528975853 38646598 346993076 329412979 1000000000000000000 682785578 398040368 317369162 230071194 1000000000000000000 414706459 264134736 292274858 235197016 1000000000000000000 794948785 93633996 592167351 621832733 1000000000000000000 783446983 513599906 513831384 746430894 1000000000000000000 378291839 190749787 197143202 331028698 1000000000000000000 327214 286190 232761 233244 1000000000000000000 149573340 53301223 30853075 39695119 1000000000000000000 414096636 131103329 156596692 291426003 1000000000000000000 515045083 185912581 445165283 165264662 1000000000000000000 363732328 77499944 183592715 356991459 1000000000000000000 329268350 327284940 306559607 152870784 1000000000000000000 351838320 111614953 59890828 222873308 1000000000000000000 98300875 37708144 85569537 68841403 1000000000000000000 496545605 457996547 446198385 263612084 1000000000000000000 325819023 159611023 196091458 150622416 1000000000000000000 917006462 756979161 584372284 889981367 1000000000000000000 191625151 56611498 54869979 72710376 1000000000000000000 631705755 11669439 285632617 601802517 1000000000000000000 227438803 129321873 87120605 203602153 1000000000000000000 565756803 485177800 61540061 177231910 1000000000000000000 724874338 550040404 59147341 270306183 1000000000000000000 357359564 309599228 346103688 197435337 1000000000000000000 424442540 180256086 207490548 198239208 1000000000000000000 482179857 453470441 30039144 379032105 1000000000000000000 203817692 16992382 98728348 58305659 1000000000000000000 289316413 98079843 266590074 71933932 1000000000000000000 209821310 156646359 145979285 127978576 1000000000000000000 214583781 80896316 72990618 197783867 1000000000000000000 508818063 505827328 273310487 201538072 1000000000000000000 759791506 724973545 507284140 44483178 1000000000000000000 982304605 154141589 721246834 587135180 1000000000000000000 807948656 756535243 658576846 653331568 1000000000000000000 286810830 197880596 29671679 77722810 1000000000000000000 976365840 250945394 860210220 745214069 1000000000000000000 702472578 482621371 198382272 32194925 1000000000000000000 560288037 2676669 529707456 141464121 1000000000000000000 118047842 46308955 89696718 71115941 1000000000000000000 97215555 61183321 57404212 66474657 1000000000000000000 60504378 50956067 31388098 33010143 1000000000000000000 816491519 228987 203418298 125396857 1000000000000000000 447513983 248996944 300634834 132330913 1000000000000000000 19496315 16053218 4826620 8265539 1000000000000000000 864908313 343534917 44255112 650357309 1000000000000000000 397749324 359380463 190725063 160166852 1000000000000000000 156684537 145539947 66208282 97214199 1000000000000000000 845306143 62236811 532429982 383800302 1000000000000000000 360774923 355224853 270474867 254270813 1000000000000000000 593621402 571827595 205197095 432085278 1000000000000000000 784857059 34378524 602271963 662912008 1000000000000000000 193525509 37797635 125077426 56522807 1000000000000000000 288225976 236759734 260822113 221423902 1000000000000000000 510867360 362337729 29101384 150439475 1000000000000000000 447100436 316423890 238070652 436328439 1000000000000000000 121284743 114422369 114153809 81438951 1000000000000000000 414876007 354405765 35079684 54455416 1000000000000000000 402413691 305106004 340107909 180906861 1000000000000000000 63911520 15584295 8999218 57884668 1000000000000000000 863487857 413594867 344135299 173562659 1000000000000000000 775786924 4196418 560843886 41295648 1000000000000000000 58114525 56946842 24574617 27850475 1000000000000000000 748948699 164580118 120228264 611526545 1000000000000000000 885294380 490146559 399305698 585677337 1000000000000000000 328613401 48447575 302632322 44117887 1000000000000000000 135519425 17103756 69666251 73968855 1000000000000000000 638649922 176860768 621421735 521220374 1000000000000000000 270393714 245136314 12708155 90669572 1000000000000000000 527111417 194353047 444081971 419130451 1000000000000000000 781563548 87822616 611747446 603936471 1000000000000000000 444586734 128114355 296942117 42921440 1000000000000000000 736530938 23543257 89991940 57912972 1000000000000000000 452756547 190193057 17552227 399167026 1000000000000000000 249906573 24779544 131622815 147816413 1000000000000000000 444522768 177221080 410582798 328364551 1000000000000000000 348041542 293814606 298273867 272311241 1000000000000000000 510936365 298732091 167465451 491957316 1000000000000000000 731046126 488748097 538977216 312026128 1000000000000000000 702680272 40452291 226182975 85344881 1000000000000000000 867536351 543889411 558677287 611825714 1000000000000000000 987647277 746051350 761106875 89516767 1000000000000000000 542700412 372046534 38793503 45503778 1000000000000000000 333089800 84148704 27225122 151857144 1000000000000000000 212958770 137174677 81240969 133721452 1000000000000000000 191158946 171633919 131444721 26330347 1000000000000000000 259869521 243012996 216843578 223157339 1000000000000000000 461035061 295785963 124164211 216394526 1000000000000000000 467149634 134085056 391415975 188057637 1000000000000000000 793528068 286036562 736601596 395076476 1000000000000000000 914445994 355290227 339729412 577024611 1000000000000000000 928366269 776810247 501204962 591026455 1000000000000000000 265245544 57945135 264779812 83930411 1000000000000000000 67125812 41598042 47377700 56410629 1000000000000000000 413549276 328128519 17267479 142772999 1000000000000000000 191071282 11314497 146702385 80001239 1000000000000000000 423471393 9864122 226299759 310248766 1000000000000000000 767395579 758359475 383101640 243492019 1000000000000000000 173508382 86912188 125673815 132811588 1000000000000000000 876618004 332127060 373722621 330590548 1000000000000000000 929844259 237493360 680231704 493509434 1000000000000000000 937377948 235102034 496750315 48551188 1000000000000000000 233130867 205768223 56891362 73841152 1000000000000000000 934490600 35389824 470184316 653907436 1000000000000000000 852848690 527511505 315693986 830715706 1000000000000000000 752609231 149263367 324177187 567641501 1000000000000000000 677548636 572160184 207444030 49599062 1000000000000000000 479199850 401998085 378357713 398694004 1000000000000000000 916120033 30680720 903889830 641724344 1000000000000000000 487825872 179890270 135282259 264299842 1000000000000000000 785990361 728700508 422798189 100267165 1000000000000000000 33241353 25522329 26977442 22727780 1000000000000000000 639855480 177685443 64780424 4263998 1000000000000000000 562694727 75330796 454147692 22386107 1000000000000000000 556379842 127022839 424192211 321753578 1000000000000000000 829693655 244745725 404296871 497445969 1000000000000000000 108737569 14530343 60330789 44374241 1000000000000000000 451332129 188919076 370165242 111837778 1000000000000000000 98481935 80144115 66745038 28121003 1000000000000000000 977926004 696273804 246300274 78623708 1000000000000000000 701572032 477287230 318959449 662414056 1000000000000000000 198557684 160213420 90619420 181925909 1000000000000000000 989561670 188236367 306130376 498364101 1000000000000000000 323258225 89723980 213311263 174509742 1000000000000000000 742405399 665481290 430313897 203956446 1000000000000000000 475670688 232828702 446515335 74810453 1000000000000000000 733034502 220360523 671891761 523651985 1000000000000000000 584042986 336396405 122901661 552923066 1000000000000000000 321681666 225079591 175504093 92021425 1000000000000000000 195814303 5779981 97389399 38462475 1000000000000000000 68779002 31972296 59684657 43403573 1000000000000000000 839107931 589798657 810399544 313073982 1000000000000000000 143145417 82635714 135453272 113416820 1000000000000000000 395766526 168518256 177194311 327791565 1000000000000000000 432520317 310059013 326778972 171460550 1000000000000000000 202573565 31551397 152072224 182413419 1000000000000000000 579436273 24783449 407433290 410441758 1000000000000000000 577299578 105357464 512221578 492052608 1000000000000000000 925829155 139085689 122115549 420734022 1000000000000000000 657487067 652714848 486908561 317144564 1000000000000000000 812251514 305827459 239907115 582393416 1000000000000000000 186491251 167224327 20301370 86871096 1000000000000000000 293974577 157055137 196788430 259286425 1000000000000000000 196177339 150565915 36779206 128439862 1000000000000000000 495493460 358043680 376057136 136449805 1000000000000000000 876870807 875784761 584401779 668514529 1000000000000000000 942101161 320325579 885348853 683639391 1000000000000000000 588313088 63712621 197950910 341825788 1000000000000000000 865903434 95374920 408334915 739468053 1000000000000000000 421460267 234127661 335037938 150320666 1000000000000000000 369325394 234737260 48924113 235540731 1000000000000000000 162416867 118453968 127574902 11137039 1000000000000000000 907158712 762879581 37308370 415852476 1000000000000000000 981804061 311791067 181990987 449872187 1000000000000000000 137021059 22200825 11125682 49166604 1000000000000000000 467149823 310208926 231267654 401939663 1000000000000000000 938517210 60440248 145899636 475026354 1000000000000000000 394761857 203661932 224001467 263360047 1000000000000000000 197045465 175792688 125114352 101434076 1000000000000000000 67099878 36365156 5743751 2768968 1000000000000000000 583960675 576885944 196315362 142528531 1000000000000000000 366728768 228472694 244129705 102182644 1000000000000000000 390168920 343053213 160942613 266362009 1000000000000000000 355310203 240281020 320988383 19393004 1000000000000000000 521376668 496980425 41720032 468249983 1000000000000000000 369623278 186519041 345569116 9326266 1000000000000000000 472639497 7942551 86565795 185303901 1000000000000000000 44800746 15216699 23304218 31037529 1000000000000000000 12107704 5217727 9586171 2305394 1000000000000000000 920841079 262591192 188125328 259878768 1000000000000000000 407020998 124698177 12242292 200453237 1000000000000000000 903846246 372719501 892506972 253980562 1000000000000000000 984590333 531457648 952599386 539828258 1000000000000000000 29616374 6098928 16900034 23648664 1000000000000000000 592933631 351736012 248696929 226358669 1000000000000000000 328021005 271154615 89245784 26457214 1000000000000000000 305881452 117893142 213346877 91340864 1000000000000000000 925627747 779602615 912321457 355645058 1000000000000000000 988952732 295748796 760657720 709075768 1000000000000000000 763782866 230578149 453753605 206440440 1000000000000000000 61082902 16928474 41042712 24873040 1000000000000000000 554142849 446514280 361216952 151847549 1000000000000000000 840790631 760941784 407347440 36707355 1000000000000000000 800629511 749224028 314842799 722777429 1000000000000000000 745012116 211108971 86400128 653628916 1000000000000000000 763473033 510076396 361695369 158930403 1000000000000000000 482207789 75113375 197993747 429996472 1000000000000000000 566056958 534664784 488368379 192283207 1000000000000000000 49160338 45399039 11375784 22745039 1000000000000000000 123475243 45011800 107480637 63057782 1000000000000000000 534517009 14682668 182958440 384336526 1000000000000000000 150530782 129437540 127397925 108417919 1000000000000000000 403742464 72221056 341602932 376123193 1000000000000000000 419807079 7801757 264162173 323305350 1000000000000000000 35263315 314785 14902888 16945268 1000000000000000000 577130502 269303396 484070231 279358781 1000000000000000000 795058 568619 640549 430998 1000000000000000000 632062789 117940094 503071946 551980188 1000000000000000000 666282232 132130324 62154750 277129986 1000000000000000000 342516287 316519168 278441174 110541171 1000000000000000000 896632140 711194592 446959090 287402928 1000000000000000000 111123946 92853150 37794776 47314341 1000000000000000000 492373607 470500553 406180265 246237361 1000000000000000000 865487241 130967264 94938206 394319332 1000000000000000000 414845289 163499011 287265449 150764654 1000000000000000000 647276410 624756481 227516421 579321848 1000000000000000000 612900595 277657796 484440806 24992254 1000000000000000000 810324046 214889127 217285708 371854366 1000000000000000000 793243266 403908645 34745775 290299513 1000000000000000000 783621631 237608819 421282060 413715916 1000000000000000000 460130427 54240598 257770165 85392806 1000000000000000000 315177827 172184798 151153466 254394479 1000000000000000000 325425254 121579198 284812903 308336104 1000000000000000000 807682147 158388737 102570408 299867764 1000000000000000000 102024952 59162888 81076841 39310298 1000000000000000000 65720504 35660468 3818443 5913679 1000000000000000000 892616602 323816019 748027487 403040496 1000000000000000000 463137919 192873999 289182253 220137927 1000000000000000000 194318298 57665325 13370595 126572496 1000000000000000000 223514374 101503993 79041002 58225268 1000000000000000000 808566958 180936704 691526824 733033975 1000000000000000000 179213801 23914185 134682965 117424361 1000000000000000000 317810874 9460939 103298278 66359072 1000000000000000000 619905314 549881537 557060204 132850832 1000000000000000000 722793379 478914959 721811328 382406837 1000000000000000000 747102016 481516496 27376055 112907046 1000000000000000000 304295396 158761162 285527944 172623253 1000000000000000000 122108660 100264845 77996267 26724907 1000000000000000000 31833776 14400033 14680006 30891414 1000000000000000000 919853808 25227252 65389341 361662528 1000000000000000000 155389313 2894721 132372213 84592961 1000000000000000000 720329071 649823397 3490783 62543534 1000000000000000000 743831986 170183538 509013550 382478772 1000000000000000000 649372039 619218575 53116029 190535352 1000000000000000000 392767539 108842334 141469004 152198081 1000000000000000000 773696332 773414959 16816099 475807886 1000000000000000000 372049315 295752869 215948198 117992574 1000000000000000000 134954877 29934658 74029069 112640084 1000000000000000000 788729507 611920727 395164640 24923450 1000000000000000000 836018187 308701623 414614119 508425164 1000000000000000000 254954187 141710755 227906807 195273914 1000000000000000000 200596372 80885063 132439003 55278198 1000000000000000000 219822476 51175745 142408388 200059541 1000000000000000000 931912378 863652159 367432702 382144969 1000000000000000000 74910736 30126473 55796654 61020405 1000000000000000000 175494078 29108628 155777357 163777876 1000000000000000000 499863139 53438641 393729472 262042588 1000000000000000000 318685780 209217134 49196505 103197097 1000000000000000000 484904717 363697578 272187716 92066491 1000000000000000000 425034364 341369683 396546877 395955604 1000000000000000000 82245805 33772440 70356257 29345649 1000000000000000000 186805980 80032894 143049458 16745041 1000000000000000000 908816856 220838274 547352772 391535251 1000000000000000000 395181505 219740943 365294258 319026558 1000000000000000000 101387275 34099204 12252097 90363225 1000000000000000000 512500388 70261445 387563856 111263898 1000000000000000000 865524286 147644974 748726497 754178634 1000000000000000000 771984232 73130707 584905428 351149188 1000000000000000000 886769654 194991470 679776800 65294445 1000000000000000000 8647544 6386731 826733 7651997 1000000000000000000 275005477 172111579 272457671 35206725 1000000000000000000 666272809 356553348 503200672 301126515 1000000000000000000 11067820 6080214 9542435 2573823 1000000000000000000 85720325 57875481 65030220 47802430 1000000000000000000 105224053 33554469 21919498 51360609 1000000000000000000 997570789 816875449 398995272 954460227 1000000000000000000 6666118 4902511 6651166 4536271 1000000000000000000 877475126 812341970 485949146 782467446 1000000000000000000 670576543 602149729 181274538 454861529 1000000000000000000 186265855 15382902 122391309 113694575 1000000000000000000 839028560 444322521 735031494 649097178 1000000000000000000 36300027 16689038 2506178 24601387 1000000000000000000 424869380 222112265 116258070 60612160 1000000000000000000 890401639 575247346 63333809 163341124 1000000000000000000 118111364 26084249 32011541 59553915 1000000000000000000 517706394 484622487 157820944 290327257 1000000000000000000 508648535 201711432 305482308 115720613 1000000000000000000 221468444 51238293 206366848 145870891 1000000000000000000 106124584 10587882 82822558 47436192 1000000000000000000 426901442 158398303 264922498 306462467 1000000000000000000 65632213 12231321 40364305 49430288 1000000000000000000 279388753 214958789 260046948 136263659 1000000000000000000 59220073 5220224 15304564 37421627 1000000000000000000 817553981 800037582 386448932 106662823 1000000000000000000 543692390 365317303 182767892 399533570 1000000000000000000 196024518 102769302 93841438 166237323 1000000000000000000 734396327 281295973 470478909 665716109 1000000000000000000 2202115 563041 2063052 783837 1000000000000000000 724809150 338179379 615528992 387825211 1000000000000000000 13913350 3770436 6966111 9393735 1000000000000000000 128608305 114155281 41898401 22209296 1000000000000000000 619062822 355299131 177069136 458496011 1000000000000000000 260490003 129468502 217962138 240133919 1000000000000000000 352347663 186330848 270255382 177694235 1000000000000000000 31850451 23699957 6165937 31298691 1000000000000000000 34861648 12230432 31711309 3763154 1000000000000000000 537771332 369741648 285126221 338582006 1000000000000000000 662564421 585892618 120715059 387714224 1000000000000000000 523426791 506418469 475290233 194014064 1000000000000000000 244345221 135422495 183336440 240346715 1000000000000000000 39010090 21689253 16120441 10416527 1000000000000000000 725788213 367810408 138161150 338593756 1000000000000000000 729209863 439419010 605976960 583917316 1000000000000000000 94139131 8019915 61917216 13768147 1000000000000000000 243127701 77312238 128427460 175495037 1000000000000000000 103303345 11819860 39333799 81575389 1000000000000000000 221170032 38688614 16481123 217644505 1000000000000000000 743569569 340680996 31853581 466400283 1000000000000000000 573628553 494786874 18738637 215687722 1000000000000000000 364739490 116188379 212282622 237454944 1000000000000000000 592318433 541423489 238822603 329409921 1000000000000000000 308613381 251473146 104662225 158695279 1000000000000000000 774674618 616087752 18925980 191558612 1000000000000000000 582679804 346167139 468669101 90707243 1000000000000000000 184005021 169751630 17659380 142601483 1000000000000000000 579932141 519485229 146271289 485042061 1000000000000000000 827873275 300428503 658554336 169805295 1000000000000000000 575959710 82533437 545742566 479942665 1000000000000000000 6889020 5036039 525940 6733867 1000000000000000000 850768811 35538149 124880603 593447771 1000000000000000000 918280746 230372571 353311876 216887832 1000000000000000000 535453607 239600683 456943217 271209592 1000000000000000000 253218095 48494116 169710889 142186976 1000000000000000000 838254548 679590531 636782586 165518309 1000000000000000000 704973163 509738442 431468624 426613722 1000000000000000000 500908261 362630101 95558795 257003935 1000000000000000000 476549074 243146132 348548913 230972518 1000000000000000000 598845330 120196298 328558490 542824766 1000000000000000000 676081473 495681021 381662791 493203712 1000000000000000000 674072472 492344538 184977357 115744107 1000000000000000000 856940018 815007080 392275706 514060371 1000000000000000000 586428381 512013096 518284694 109952005 1000000000000000000 456306964 300759408 145382763 194040295 1000000000000000000 530001076 489001222 119666339 522226909 1000000000000000000 352948640 173656721 344130088 186142853 1000000000000000000 913950494 513323162 909872253 538486262 1000000000000000000 62774392 441696 2195195 38727106 1000000000000000000 463738549 140004451 209019169 385710174 1000000000000000000 696163777 194685615 485037908 89896981 1000000000000000000 338521352 294421042 114408461 55937119 1000000000000000000 368837426 278010369 104768553 74739507 1000000000000000000 516767492 40320636 6700552 308050205 1000000000000000000 120494879 40829364 79019018 63499661 1000000000000000000 996006371 258414502 282664230 531830283 1000000000000000000 39683192 33851726 14076239 32077064 1000000000000000000 394196416 187367029 17353933 98748324 1000000000000000000 307109693 13914499 29109567 97331986 1000000000000000000 888617426 366655688 316280606 704788061 1000000000000000000 824757449 158796164 338350703 55187616 1000000000000000000 866876449 317642899 158580755 119545456 1000000000000000000 44803843 30984070 44152801 10074205 1000000000000000000 993518240 948480600 530849464 593706572 1000000000000000000 958003115 23627747 900208401 95585023 1000000000000000000 393536865 314351015 68112186 245755494 1000000000000000000 337916814 267660018 243545355 4710140 1000000000000000000 758739867 51359907 464179376 695220574 1000000000000000000 941038265 698638198 900160481 753734208 1000000000000000000 138046269 108383523 96574238 2756077 1000000000000000000 607042340 416453669 300757254 537700279 1000000000000000000 694947356 381285841 533847847 609326983 1000000000000000000 292930523 86312442 178319724 263560114 1000000000000000000 46149541 44795490 34056888 32788913 1000000000000000000 995170934 830805470 51838488 820617696 1000000000000000000 766283914 580230002 537848364 284218433 1000000000000000000 446765371 202713127 442431084 1649063 1000000000000000000 587022228 287583809 486276700 373042015 1000000000000000000 464232124 434060435 142358003 264893721 1000000000000000000 567020180 525433181 322027951 227520185 1000000000000000000 388564019 12500353 34081673 171373047 1000000000000000000 349380003 324397175 116108885 279244930 1000000000000000000 401184854 251315063 97500301 261842586 1000000000000000000 213183777 115478797 162575168 1421385 1000000000000000000 426849074 166553184 393924458 131735143 1000000000000000000 485454779 130794938 175861070 87463546 1000000000000000000 628015706 5794767 183294134 169090170 1000000000000000000 511611242 69629009 499356125 505897256 1000000000000000000 968526199 723561320 592369858 835846981 1000000000000000000 119741964 18409335 14158521 79911586 1000000000000000000 580872995 359029696 199869102 358819298 1000000000000000000 887723207 7807952 37987494 21946270 1000000000000000000 698509410 522735680 9120200 518477975 1000000000000000000 48382669 2173688 48236673 45095972 1000000000000000000 698160717 353938215 239748811 460857472 1000000000000000000 14164106 5436406 1093220 2409913 1000000000000000000 809405298 32021245 126154633 623255710 1000000000000000000 741183957 599030963 667590955 578369183 1000000000000000000 987965123 547833243 859812997 35172641 1000000000000000000 698277124 589471187 374121659 243673192 1000000000000000000 175183166 118015758 56951903 75233955 1000000000000000000 19063953 4247400 16201843 10727108 1000000000000000000 633701327 555069859 158457228 413483621 1000000000000000000 145953534 90776848 83768822 67166149 1000000000000000000 184164821 125816726 42408478 120604923 1000000000000000000 85529334 71993052 41906327 82317532 1000000000000000000 535519589 455041421 175134288 426892172 1000000000000000000 470940493 202868523 249267142 367937359 1000000000000000000 702662192 292246257 129095323 312670112 1000000000000000000 170508600 65549663 152490901 59443877 1000000000000000000 487293609 66366425 455983116 422894218 1000000000000000000 309129433 131446618 223363873 28826120 1000000000000000000 216305397 111785021 70176533 165904647 1000000000000000000 355775903 294019860 261078145 195370556 1000000000000000000 963400326 525607921 875289442 806123268 1000000000000000000 963073476 763103510 541249013 159329019 1000000000000000000 82692489 24150422 72764414 60193713 1000000000000000000 529832100 241790831 265776059 286250495 1000000000000000000 150342461 42759718 89262113 77079391 1000000000000000000 854928122 402262930 117767218 568676049 1000000000000000000 970224391 275945187 219102043 528628792 1000000000000000000 620783018 179881537 399742023 1549145 1000000000000000000 129248163 59534267 97231114 89395925 1000000000000000000 491996859 260250450 395610535 403739279 1000000000000000000 833405681 183042564 38203778 630041734 1000000000000000000 125167379 61601081 108568605 15094450 1000000000000000000 545308350 40837891 87060192 154857338 1000000000000000000 416209865 332074482 270739143 73085913 1000000000000000000 115528161 48244451 83556216 38597155 1000000000000000000 799683832 238329526 610896426 60192945 1000000000000000000 31402516 4696333 27923795 9621090 1000000000000000000 652830894 399655155 529538411 328476236 1000000000000000000 307951074 252020294 115919100 64732957 1000000000000000000 927688849 802548828 667872149 637896191 1000000000000000000 674191924 381146647 58274794 142838545 1000000000000000000 582685511 283603937 297709703 436868076 1000000000000000000 951881556 99392073 168700114 769869098 1000000000000000000 668967858 259113609 468596499 538181742 1000000000000000000 993164998 814313465 745294832 752178461 1000000000000000000 869781877 727516729 299667844 181760473 1000000000000000000 207845810 80380996 109718367 70632386 1000000000000000000 683360562 161013496 533338527 669747355 1000000000000000000 568006805 504242197 169664302 27522213 1000000000000000000 599880810 546186179 406082011 535090236 1000000000000000000 628745558 214720814 12710866 190676443 1000000000000000000 361120991 324554768 19027625 284364350 1000000000000000000 696656852 412091240 550402990 605984390 1000000000000000000 595505869 287272626 75118448 364437335 1000000000000000000 395703884 138476792 33316044 117090062 1000000000000000000 805372260 105306094 746891848 125216695 1000000000000000000 383150187 239427251 353853920 336043276 1000000000000000000 393165715 383672463 45101047 212380448 1000000000000000000 175213134 14693791 24417536 102102876 1000000000000000000 515366025 434629587 87429455 468983533 1000000000000000000 414968537 156002938 2186939 368226834 1000000000000000000 193573811 66034582 59083122 170363621 1000000000000000000 69980387 69846196 34522929 24332868 1000000000000000000 905933862 75035198 576523213 456255079 1000000000000000000 44972586 41009101 20787803 17104092 1000000000000000000 33014128 6204955 5127968 30557854 1000000000000000000 226547257 210456084 148988861 40666447 1000000000000000000 222579316 112551504 214093103 89913784 1000000000000000000 58654920 9598747 40139047 10624599 1000000000000000000 511689408 225164460 282795159 71777492 1000000000000000000 53276013 23996073 39269445 14484409 1000000000000000000 556728302 501183341 145995505 242913700 1000000000000000000 361033556 61141536 223554912 321742475 1000000000000000000 227181332 26265543 209528926 214063380 1000000000000000000 475017910 326524560 107457700 333405670 1000000000000000000 965900232 419679265 330322885 814269193 1000000000000000000 215377910 160888454 124254097 109603312 1000000000000000000 757465863 648090152 535781947 519433214 1000000000000000000 938521447 105056372 126146615 656885841 1000000000000000000 679593407 114007696 10298756 274335969 1000000000000000000 329245533 250686284 87668523 113591020 1000000000000000000 968273953 74021090 591336174 117905685 1000000000000000000 932539337 789160996 550200951 615669254 1000000000000000000 834600612 375045749 15930925 570564230 1000000000000000000 918319461 721718109 747841626 8990575 1000000000000000000 240577227 19064599 202081607 764161 1000000000000000000 936954610 440065228 840165391 387675211 1000000000000000000 116169801 10272214 44558575 43369448 1000000000000000000 899146872 24444120 474276235 894304488 1000000000000000000 267059330 14398239 244854282 251746483 1000000000000000000 333621065 323142300 59401563 63583948 1000000000000000000 924347609 148748697 856789332 716854179 1000000000000000000 987479887 387704989 202478417 325247348 1000000000000000000 370321602 52908682 365485787 143757542 1000000000000000000 841994830 471301920 23500938 660221643 1000000000000000000 574008145 486878461 65387246 182029712 1000000000000000000 52290509 37580559 3796702 11972158 1000000000000000000 641298747 298094597 447456173 331162171 1000000000000000000 350119164 270267365 295361075 166408117 1000000000000000000 243468097 240162621 121443944 57337853 1000000000000000000 21598686 3893398 4180182 4970943 1000000000000000000 510429577 137898745 182632535 43088543 1000000000000000000 252776248 58895823 241598606 127424313 1000000000000000000 861858483 721655156 101813305 710129363 1000000000000000000 841599174 701534201 815673889 811858618 1000000000000000000 935595055 883852613 128202384 544076246 1000000000000000000 710155715 338405480 15098942 80314242 1000000000000000000 323342589 70683536 315902522 315582860 1000000000000000000 244551221 234418854 26439822 93393162 1000000000000000000 85037166 11182032 13819089 66892960 1000000000000000000 748153068 646802554 688349845 26631877 1000000000000000000 842465865 60263214 805209629 598347998 1000000000000000000 193671878 888587 64585248 185795466 1000000000000000000 442097117 201712631 74855985 362667688 1000000000000000000 341410593 215060533 226217970 176058916 1000000000000000000 740618742 118642152 26958874 459409693 1000000000000000000 890449832 563158685 878255954 501687066 1000000000000000000 615804444 318472246 233488306 477882090 1000000000000000000 646332200 510675200 301978838 303930097 1000000000000000000 730824436 227652501 680237172 419693961 1000000000000000000 74172965 32043965 47208983 13307358 1000000000000000000 930478488 118899587 630424352 201277260 1000000000000000000 852220344 729841026 229930643 191545040 1000000000000000000 562919188 490676091 147456534 269247032 1000000000000000000 993025145 321236459 877677742 713964434 1000000000000000000 309413368 109037435 167183561 192870771 1000000000000000000 94042276 35668161 50028560 6789531 1000000000000000000 984008306 237303543 808286426 670675696 1000000000000000000 85956895 76191870 53376850 15645697 1000000000000000000 191345021 92957479 118718591 54100351 1000000000000000000 418659270 139199524 381222769 128564194 1000000000000000000 53365244 3859290 40494609 13777005 1000000000000000000 380726908 306334201 267841442 341583615 1000000000000000000 441787065 198352100 191592959 126707029 1000000000000000000 32049997 2903835 12576237 29039195 1000000000000000000 256572367 96137496 159757356 150153002 1000000000000000000 465523850 330042905 377709095 30884153 1000000000000000000 209871498 189091014 854813 120125070 1000000000000000000 853766548 664245590 617428289 636209955 1000000000000000000 146546607 3895047 25003206 74876767 1000000000000000000 570267659 414532627 317390658 501443753 1000000000000000000 69076133 56134971 25890554 57159563 1000000000000000000 662430675 399624328 379184109 71727265 1000000000000000000 435743119 350433564 391643367 837858 1000000000000000000 176046139 56303324 18970482 10859810 1000000000000000000 938666437 366454259 463526471 194220537 1000000000000000000 173645518 12481353 87075798 7773058 1000000000000000000 560669467 176428365 414514481 29876905 1000000000000000000 999675492 433039545 438047691 787376797 1000000000000000000 242944477 11504448 20806223 110153022 1000000000000000000 289752753 266541479 64098663 274355667 1000000000000000000 957296891 559893460 722587060 12361804 1000000000000000000 198052098 157415549 20526503 113294630 1000000000000000000 905786620 429263490 732293639 280995886 1000000000000000000 798674010 256765108 38325608 740433766 1000000000000000000 197819352 61534445 169384154 171644434 1000000000000000000 37674825 23349670 3443039 35446085 1000000000000000000 736738710 104547349 320678318 198307532 1000000000000000000 779957944 442673565 618702720 312552194 1000000000000000000 365175172 26297143 74572105 58530178 1000000000000000000 531666901 401317026 285286473 138319888 1000000000000000000 82634860 36730042 19571987 38563476 1000000000000000000 24570666 15550722 7843806 10372209 1000000000000000000 308242583 69155954 69833055 170931484 1000000000000000000 957983104 531374035 870102058 322312499 1000000000000000000 739753512 268996038 468978298 681554893 1000000000000000000 113266845 83018184 29396577 64155783 1000000000000000000 887820891 425889100 5221029 208468980 1000000000000000000 392263485 75016925 97266889 311690848 1000000000000000000 444088546 77684087 217572808 34761951 1000000000000000000 396786092 227854919 245126496 7976449 1000000000000000000 313312282 274216423 166858071 41815818 1000000000000000000 369692721 191371206 37370577 229617531 1000000000000000000 828780340 210065691 79587312 308293582 1000000000000000000 838072703 787341988 20700173 214212844 1000000000000000000 501190113 310965586 18069819 97027529 1000000000000000000 151440617 124270421 78742367 147561162 1000000000000000000 325349673 68549718 92642899 319327436 1000000000000000000 658846690 320545471 538899538 102714881 1000000000000000000 169744154 166044696 100773168 133592362 1000000000000000000 354551794 340648822 198970901 32680429 1000000000000000000 862307112 295942675 703333095 182212198 1000000000000000000 453211555 337776382 300946451 123452127 1000000000000000000 121037419 5103484 112304129 14261592 1000000000000000000 68773066 53256170 11782876 43343256 1000000000000000000 143579466 62929461 46020998 114231788 1000000000000000000 819140764 167024366 287075490 415685708 1000000000000000000 448138532 209981302 336611406 81559903 1000000000000000000 48655429 47044363 17789485 4209358 1000000000000000000 29475772 6558438 1682259 21317265 1000000000000000000 460180989 137414684 377697691 347402205 1000000000000000000 967583280 80658960 808881615 241654218 1000000000000000000 655492816 113361107 191179954 502605329 1000000000000000000 460520103 107911324 288002536 329841773 1000000000000000000 369917150 69522237 59503042 259423462 1000000000000000000 248374169 88544737 108954139 73243209 1000000000000000000 669614773 292638035 478490121 565835682 1000000000000000000 436676922 58007000 274850247 363540735 1000000000000000000 895017609 635226721 642408317 112719351 1000000000000000000 262897812 248271867 155666017 261918240 1000000000000000000 278503394 213934475 268453007 160356242 1000000000000000000 636917234 519925724 505504381 185104769 1000000000000000000 913744059 713798691 319154977 815759847 1000000000000000000 657953813 59243909 562241187 308050574 1000000000000000000 737770869 703016206 2453127 444789678 1000000000000000000 633784900 421810110 264014036 467684037 1000000000000000000 994762895 461942745 408598095 281198913 1000000000000000000 53519526 30198146 26387022 30574375 1000000000000000000 1338590 351863 990346 715365 1000000000000000000 931352948 79621709 208322120 218402842 1000000000000000000 168129275 10918885 40112032 138790807 1000000000000000000 176743729 96533003 51827865 81940863 1000000000000000000 875608521 672864743 394496310 326617521 1000000000000000000 78965939 25400017 62148207 28546946 1000000000000000000 548732463 409811613 505955554 99424688 1000000000000000000 914527463 741393657 389964619 203440047 1000000000000000000 439505458 387213909 7336802 315273475 1000000000000000000 409176981 233701123 297504352 297253029 1000000000000000000 396292030 338559022 364891557 42816418 1000000000000000000 99612437 52322523 63044073 50127265 1000000000000000000 586940868 372759940 548976153 98026377 1000000000000000000 3519161 2511963 476876 1728704 1000000000000000000 626244664 23794659 560570148 363418643 1000000000000000000 476453653 58356031 157489633 365892836 1000000000000000000 686279284 49587571 350021135 250310606 1000000000000000000 624585904 31076389 502763015 151376694 1000000000000000000 473045939 198968358 411933541 64855802 1000000000000000000 108401679 23145923 58043242 36139308 1000000000000000000 617697998 66228208 571349301 594520782 1000000000000000000 26292073 637831 463362 19162248 1000000000000000000 667431779 76293561 612625911 101859393 1000000000000000000 110768105 2641836 34225338 18635936 1000000000000000000 194061080 13837038 37483044 37860617 1000000000000000000 347244123 154051015 1743623 186568386 1000000000000000000 798797766 637849269 701232599 277721365 1000000000000000000 962170211 363494374 289583319 50322801 1000000000000000000 904044980 66229224 280184730 59799010 1000000000000000000 849588100 498223565 634174863 849329168 1000000000000000000 416852321 254790485 147848124 126065513 1000000000000000000 78689754 45950456 33969763 55169489 1000000000000000000 775879389 236231284 272100902 147468883 1000000000000000000 602295118 151134121 79864628 196387164 1000000000000000000 983924817 748108634 791775744 385970994 1000000000000000000 879033702 790684404 755920902 475629181 1000000000000000000 463320340 174270055 458149173 390463007 1000000000000000000 163563016 101668319 10148468 67967529 1000000000000000000 730270668 339755243 623901314 112681302 1000000000000000000 895689653 518298712 406832281 221934803 1000000000000000000 686682122 622688556 521350976 532306218 1000000000000000000 149901125 96453913 112308188 50457541 1000000000000000000 161903363 108602292 18606598 67640816 1000000000000000000 712180763 125917153 195719394 129348866 1000000000000000000 341415091 282072115 131810460 180430440 1000000000000000000 794134481 760488442 453005335 232995946 1000000000000000000 104892349 15499441 15482245 34547553 1000000000000000000 500367044 418335729 479041333 6395970 1000000000000000000 871919671 339274402 869145461 113815831 1000000000000000000 932878760 637393557 674474875 88064470 1000000000000000000 293882500 125759141 184680339 6877546 1000000000000000000 882890852 715391402 734807749 66568371 1000000000000000000 805366890 1002465 39848403 117890732 1000000000000000000 444394397 73696628 51597544 262453645 1000000000000000000 180240630 157274310 110571641 61158915 1000000000000000000 93050045 8124056 57545179 20334567 1000000000000000000 258967813 231768249 10192583 148783105 1000000000000000000 250335666 159378793 241246641 162541552 1000000000000000000 178454891 145871842 2306585 162341839 1000000000000000000 591059539 171963313 586229100 382259624 1000000000000000000 20084262 17766811 8823999 11432937 1000000000000000000 781255701 261458656 592091381 737751229 1000000000000000000 832311895 511752562 681470646 396474743 1000000000000000000 539854289 436141609 43964757 514532486 1000000000000000000 103923809 58468665 6035539 22428101 1000000000000000000 290142366 235999356 58279370 179918077 1000000000000000000 530177448 273711905 1235004 222487028 1000000000000000000 934773984 278841631 473918883 891445338 1000000000000000000 203251501 39572449 78270584 124461253 1000000000000000000 527145381 397553221 245552516 325843494 1000000000000000000 134105637 124303802 43025901 91869623 1000000000000000000 260871615 21114408 86525299 95841249 1000000000000000000 202440444 100155963 57932948 33354488 1000000000000000000 885815127 811131595 88935078 589616708 1000000000000000000 874982973 703151460 138208163 305431747 1000000000000000000 90576334 28201400 72315918 71212766 1000000000000000000 538937481 259522310 140083515 170738301 1000000000000000000 524040796 97733117 176658567 179464207 1000000000000000000 413568585 170152944 77307202 267783740 1000000000000000000 24228963 9826591 22850503 12129076 1000000000000000000 483603438 276267011 195813908 24045512 1000000000000000000 211971913 201163261 28401895 191839905 1000000000000000000 571685468 510059245 509253534 218003903 1000000000000000000 933890205 126301120 77024531 461524270 1000000000000000000 536682246 516697537 364460363 366890356 1000000000000000000 563002605 467314774 92131861 95351129 1000000000000000000 37763860 5834474 29026404 32509150 1000000000000000000 991311784 714129515 433872572 106839067 1000000000000000000 182008889 32049699 151297614 26687087 1000000000000000000 300083295 145451112 236711291 209639545 1000000000000000000 414865486 347932246 263422094 313798081 1000000000000000000 87300872 58136913 55166948 66431354 1000000000000000000 372056333 65791325 180594909 139139205 1000000000000000000 823767259 99084785 734404568 232620471 1000000000000000000 63190721 20967059 44531595 15418490 1000000000000000000 427688720 163165173 383608522 270223740 1000000000000000000 17432261 16301875 10217074 2998194 1000000000000000000 662468931 191725876 589458734 155858323 1000000000000000000 708508791 484235702 156968731 440278826 1000000000000000000 514967234 378887898 50513857 342953002 1000000000000000000 41565675 38926855 34660357 38467076 1000000000000000000 150556571 120673886 118933467 28789852 1000000000000000000 970365715 296464265 370738594 598096789 1000000000000000000 288681605 40377509 60778549 261122152 1000000000000000000 748411368 640209814 533847957 107253201 1000000000000000000 422295574 86713627 88575648 296636474 1000000000000000000 623512412 527121223 529722292 148743060 1000000000000000000 837309455 310993591 260980673 302525282 1000000000000000000 40114829 29205826 39263372 31788272 1000000000000000000 537854179 467542841 32969777 126241953 1000000000000000000 682271221 383999239 100827805 413144238 1000000000000000000 642011225 145816274 545763349 555600027 1000000000000000000 377929874 89884615 186507851 69729777 1000000000000000000 93130255 19931450 38854119 32880877 1000000000000000000 61192227 13968031 23198433 27286514 1000000000000000000 268274219 227551103 212327055 235190161 1000000000000000000 504976142 11345094 356330556 92615282 1000000000000000000 672622568 444791661 37845858 320685955 1000000000000000000 340873201 232048840 182817271 77464374 1000000000000000000 266005082 153615867 216794204 235513118 1000000000000000000 34774787 2713041 11463914 9048922 1000000000000000000 438283484 265382784 15780341 118046122 1000000000000000000 832726163 206435047 648273350 189907679 1000000000000000000 387973741 43089624 43515516 151788949 1000000000000000000 892513973 126432324 44856583 606618725 1000000000000000000 372193542 180917434 194719389 107105532 1000000000000000000 43240201 38609584 39170173 25519860 1000000000000000000 317622444 169378643 147500947 113293078 1000000000000000000 127086613 72188267 113121761 114835727 1000000000000000000 944459394 148768985 595012296 438793100 1000000000000000000 507478691 384978402 42022728 80272356 1000000000000000000 737097749 353373732 355567077 17495705 1000000000000000000 832172932 283773776 391710558 812235946 1000000000000000000 504586760 261697059 221415913 109399125 1000000000000000000 533224875 447610196 230678784 376594616 1000000000000000000 407939624 31897805 208046499 253791890 1000000000000000000 922061182 447374509 672843047 463692880 1000000000000000000 504738106 404301924 372525950 440557278 1000000000000000000 405886435 364452525 102620152 261264178 1000000000000000000 932405777 902615199 469797362 233034726 1000000000000000000 948562062 125041482 431072502 607096656 1000000000000000000 753331399 339036233 713837055 564822438 1000000000000000000 7340443 2467879 6946877 2038590 1000000000000000000 655927946 405620578 375708698 507800848 1000000000000000000 296122770 78394458 41460222 160001243 1000000000000000000 537473831 411998380 417834621 404168782 1000000000000000000 144424980 132101155 36376547 130031565 1000000000000000000 453646105 218042425 132849305 32261196 1000000000000000000 354965679 146015969 301993110 138924079 1000000000000000000 331900981 260855377 200736459 263206363 1000000000000000000 298798501 185537383 118836044 177360439 1000000000000000000 931170462 267873528 7194319 270753381 1000000000000000000 538133748 366213082 206879705 387390080 1000000000000000000 349997446 327068705 156279147 260360951 1000000000000000000 111721379 19561942 51081361 60672701 1000000000000000000 271573786 151691512 47656840 263150618 1000000000000000000 371265194 101201538 267687573 114116849 1000000000000000000 91388314 56120084 62903950 47815613 1000000000000000000 91009863 2478105 54429462 40948933 1000000000000000000 263869961 23749400 61493343 29687875 1000000000000000000 663487803 17972943 499029288 211374355 1000000000000000000 155054248 53132673 150696742 133440201 1000000000000000000 20209331 10409313 15424748 11442876 1000000000000000000 899575026 294087607 186333875 440614612 1000000000000000000 645073801 347020511 587631577 117728086 1000000000000000000 63461516 49277339 35847461 38267849 1000000000000000000 52034372 11630646 4641338 31333740 1000000000000000000 733037659 8971686 283645230 326795707 1000000000000000000 497103779 413546925 281311759 1235360 1000000000000000000 886508535 109238330 512392560 662071640 1000000000000000000 254505834 253640612 236476555 201856592 1000000000000000000 956175115 912898953 292442615 399791006 1000000000000000000 573952000 209619367 187634395 120382541 1000000000000000000 116880286 8854265 29577238 84757794 1000000000000000000 683356978 382853401 4013430 430496583 1000000000000000000 332750584 304727798 35364171 146024222 1000000000000000000 588389243 192639392 50624045 353389520 1000000000000000000 76370778 70644261 42461552 22676441 1000000000000000000 965114984 608379335 653172421 9251230 1000000000000000000 661237427 390615411 496662494 305223287 1000000000000000000 161836847 51331897 100268966 102537244 1000000000000000000 504594943 39094407 287347300 27675508 1000000000000000000 211503602 174674777 186019431 164675141 1000000000000000000 734306421 247002352 527661440 457163441 1000000000000000000 107676748 88541055 44506375 6254590 1000000000000000000 612419465 483297762 261758486 58932872 1000000000000000000 442819134 362179930 189879443 272940931 1000000000000000000 26095203 19055100 643293 16739553 1000000000000000000 953783225 864538593 567846775 230834575 1000000000000000000 954640602 696916389 721108886 9143652 1000000000000000000 779670489 679618918 264598897 329637223 1000000000000000000 436512459 179929336 360168072 199362179 1000000000000000000 177941169 166481156 66944328 103461693 1000000000000000000 202721866 33089523 115280154 19173958 1000000000000000000 227565784 76359606 161672750 146765344 1000000000000000000 620405358 446255326 494191678 64273464 1000000000000000000 499212820 245537837 75390933 138860434 1000000000000000000 459435498 436563926 369483708 297374225 1000000000000000000 504026177 481978151 38347305 402411511 1000000000000000000 81563795 55407208 13907065 23546082 1000000000000000000 534351400 80462843 316831841 293704971 1000000000000000000 182843877 19330252 85013205 2378833 1000000000000000000 485299767 238049024 11032984 169839211 1000000000000000000 599296181 161407338 411281211 47373908 1000000000000000000 781557012 416427601 741086498 379312952 1000000000000000000 226197212 154767194 70671209 185087123 1000000000000000000 814948183 6656597 66962923 299133687 1000000000000000000 550018914 239026373 424961820 503801164 1000000000000000000 821478451 23713268 510567171 580869750 1000000000000000000 59257635 5125559 8695923 12163728 1000000000000000000 248833353 209461721 110472472 9528034 1000000000000000000 254140693 70493850 2507359 131363954 1000000000000000000 633619866 186718231 620295234 224702523 1000000000000000000 219159690 59018009 101635275 23094524 1000000000000000000 422539361 8056852 265177476 214149014 1000000000000000000 843778004 222933357 667890414 477331267 1000000000000000000 5765834 3859382 2459373 4615943 1000000000000000000 153567282 18489344 140050441 132661511 1000000000000000000 40057728 20843925 26484520 5965625 1000000000000000000 333932648 41969616 220265068 253759601 1000000000000000000 95761551 75763992 62703451 89516675 1000000000000000000 445415373 81082920 212646282 74603794 1000000000000000000 121765350 18696695 23034183 33754832 1000000000000000000 502040343 480223195 66111495 350268188 1000000000000000000 550951179 12560545 221045200 37407650 1000000000000000000 572867090 404131466 396353629 502538564 1000000000000000000 197351350 97382833 139887812 84439023 1000000000000000000 464076675 68564345 256088161 106806096 1000000000000000000 178361975 135359652 92429591 86735601 1000000000000000000 304625266 286722 158438806 110277414 1000000000000000000 981478752 603566713 711171456 187823947 1000000000000000000 505415090 114493813 280961798 303964922 1000000000000000000 12846839 1598100 6301571 9977138 1000000000000000000 528738061 132895397 60147600 329628555 1000000000000000000 840644709 66513828 771014787 308578099 1000000000000000000 27437015 2958585 8527791 19889912 1000000000000000000 781378953 670518985 491332185 18830811 1000000000000000000 684056124 470652179 503556894 207212799 1000000000000000000 607507976 113941004 346246088 188078516 1000000000000000000 596845699 583613761 181526109 565530327 1000000000000000000 815631844 738695728 111367480 480050958 1000000000000000000 73901488 35802607 25573110 9650958 1000000000000000000 16518473 11238092 7845054 12355409 1000000000000000000 825961608 741778115 274534644 87582079 1000000000000000000 379402985 282896832 330866070 77906405 1000000000000000000 715914904 631722525 230856916 512462978 1000000000000000000 131747071 12968767 98942996 78670221 1000000000000000000 59686883 49617368 11196071 42880526 1000000000000000000 775173027 487066877 173520400 314633304 1000000000000000000 498624407 329960227 118962079 236265833 1000000000000000000 628759010 323209817 581249312 239070669 1000000000000000000 797044733 75084726 6019515 7294613 1000000000000000000 741281090 517025262 442817217 114663648 1000000000000000000 902647831 258103059 849673108 360574121 1000000000000000000 30669945 9555539 26491494 12362641 1000000000000000000 104139117 5517862 62967762 7696066 1000000000000000000 864381243 278546412 430168107 704293406 1000000000000000000 663996138 310475720 292594079 50616427 1000000000000000000 668292770 127076640 88266209 238653122 1000000000000000000 844084564 260443944 223925750 411088773 1000000000000000000 940400761 337506482 336057081 209348315 1000000000000000000 978437201 434488629 659612244 668049540 1000000000000000000 264027534 49477659 235899619 9686787 1000000000000000000 169750105 137611284 141060422 138846679 1000000000000000000 5485283 2886786 4950699 225742 1000000000000000000 975630583 271227891 370948698 105938799 1000000000000000000 465790962 324648065 309412539 445611056 1000000000000000000 420862585 148566408 296722931 125916930 1000000000000000000 647363282 457688400 484464725 72480374 1000000000000000000 514323312 51501344 511575872 476505604 1000000000000000000 781509597 553627505 539799075 541154793 1000000000000000000 101718215 47923986 24640162 34438687 1000000000000000000 963123949 866620290 255407234 309490731 1000000000000000000 549711320 127761554 240871134 90493969 1000000000000000000 341537721 144213925 58263758 92837060 1000000000000000000 415936510 209684642 35417211 288789413 1000000000000000000 604168435 164209576 587196582 452767625 1000000000000000000 69682208 5876551 53568030 16071972 1000000000000000000 623752644 73750588 12812042 301451863 1000000000000000000 939166185 378822386 109080717 354690300 1000000000000000000 690343324 491726646 682630662 171586958 1000000000000000000 722793138 143930329 431462041 110003048 1000000000000000000 187511324 94613029 63831875 130537765 1000000000000000000 370592924 322182812 293845681 257150672 1000000000000000000 595906024 128748924 333491000 91836751 1000000000000000000 370397088 330437658 193368294 366395946 1000000000000000000 609609931 479492638 482956566 449154640 1000000000000000000 683820175 545442124 248415232 635644033 1000000000000000000 312474452 80254539 164514599 114002044 1000000000000000000 234732248 187405032 101303925 123146222 1000000000000000000 724072064 417828873 302671659 132919237 1000000000000000000 18684903 13583703 6684839 2389717 1000000000000000000 632414286 128558141 138285458 272176721 1000000000000000000 115780758 111151258 89355373 96381042 1000000000000000000 716943584 260912077 102262978 208748218 1000000000000000000 335364780 50984454 103570219 80343502 1000000000000000000 130277321 109616243 102874859 87540468 1000000000000000000 883847786 367860263 374965849 806683338 1000000000000000000 535747501 180585078 268027858 442723977 1000000000000000000 812189702 541993309 508373063 671089937 1000000000000000000 604938988 491268661 457148182 156993318 1000000000000000000 982088213 591906434 569582298 723023888 1000000000000000000 25470638 9341628 5695104 18665455 1000000000000000000 477811875 59602428 176125872 341059158 1000000000000000000 655951895 140690933 554679245 55302895 1000000000000000000 29131821 12562718 18083751 9456816 1000000000000000000 473280294 209360170 278915 2372164 1000000000000000000 159390708 116765209 127858854 58168236 1000000000000000000 3891080 1296179 1092095 919685 1000000000000000000 834294112 430887638 549801620 576614473 1000000000000000000 900800839 187156210 215241343 874154379 1000000000000000000 786183764 505641173 478986257 722163203 1000000000000000000 757394701 555999013 388368679 703192932 1000000000000000000 570640022 88706872 107146666 34301264 1000000000000000000 897842507 387872777 568376537 429603547 1000000000000000000 638582706 367150774 190540307 578988154 1000000000000000000 52783301 36303288 35518315 23188247 1000000000000000000 650718507 31509570 381469101 94013843 1000000000000000000 346609089 66699830 191354584 71836374 1000000000000000000 907110325 864721635 361219347 706599214 1000000000000000000 112902 94725 8352 41846 1000000000000000000 855078685 713098263 728795007 553074193 1000000000000000000 78097091 6542372 62964841 62989582 1000000000000000000 782549808 213138310 130589468 722080671 1000000000000000000 110955405 13592880 99361078 61884893 1000000000000000000 179378945 9385397 46067350 166515438 1000000000000000000 60937398 7487453 51242607 53890450 1000000000000000000 399890052 396688257 64370801 34174973 1000000000000000000 784792501 196710429 153598979 298701878 1000000000000000000 96522685 7645344 49627554 43949369 1000000000000000000 767068718 140927585 530366856 747160107 1000000000000000000 515778552 202959435 357572611 346534877 1000000000000000000 296463021 1536135 49561678 266782671 1000000000000000000 628911640 472724990 259238094 200579858 1000000000000000000 417693172 309908163 140344056 18066219 1000000000000000000 454103113 116112026 284369490 392576964 1000000000000000000 10194232 8897696 5949856 5037647 1000000000000000000 136642515 135317962 41735469 123871750 1000000000000000000 440468554 305000205 147746396 284919321 1000000000000000000 886802470 630138306 642902461 581046618 1000000000000000000 280505163 258323935 33007615 94380449 1000000000000000000 66167524 5111388 62723227 36054099 1000000000000000000 815477470 738462752 442936308 507417846 1000000000000000000 427295370 307762794 245045717 60768432 1000000000000000000 377953200 471468 136376550 34684576 1000000000000000000 872110627 91232730 521397056 434681032 1000000000000000000 1300945 453692 352678 16036 1000000000000000000 165107260 121280460 43065633 112973131 1000000000000000000 717806135 395056134 631620391 395677739 1000000000000000000 33971918 3851022 4884965 22475442 1000000000000000000 472525710 35562054 310599959 81540696 1000000000000000000 393657977 293952841 359090544 328405375 1000000000000000000 984015297 751493431 162376284 312834758 1000000000000000000 635024939 138831144 333640989 374567780 1000000000000000000 765157489 222947120 661538120 473105754 1000000000000000000 779359056 429808927 442460863 530359827 1000000000000000000 503241789 383221423 188594777 348615652 1000000000000000000 412621348 346474692 189853000 410919528 1000000000000000000 934272637 23574143 152566980 505071950 1000000000000000000 717922645 324291388 461622229 693581291 1000000000000000000 931041906 859599440 95996377 194525717 1000000000000000000 78266554 55481539 24457708 78004236 1000000000000000000 380904179 288913486 72313822 300732127 1000000000000000000 348799502 267569427 19622881 224505250 1000000000000000000 257758805 119926721 71454790 108787197 1000000000000000000 321674784 107420287 143751024 78688331 1000000000000000000 184392824 60752431 175820576 105511846 1000000000000000000 489682142 423999025 261308777 420303179 1000000000000000000 833308056 386434516 681128121 363133773 1000000000000000000 687906487 335142712 543056156 392968745 1000000000000000000 94057654 61956860 5357406 14682091 1000000000000000000 722232356 233950499 315002948 249122201 1000000000000000000 152101057 59480452 145463585 30081036 1000000000000000000 480599439 413664909 42771356 219165105 1000000000000000000 564872043 196582799 62212618 177634416 1000000000000000000 772056382 313124814 400028199 193953503 1000000000000000000 570219743 147524547 461345405 472349544 1000000000000000000 302136612 41080533 198796971 155049213 1000000000000000000 600260226 33010934 446204114 292244589 1000000000000000000 180054034 174270648 43512233 63635887 1000000000000000000 939024873 307669898 886619636 622221954 1000000000000000000 218971737 83180272 2020538 188917208 1000000000000000000 718114305 251125688 273323810 281464964 1000000000000000000 289043626 216265588 286664626 214662334 1000000000000000000 489556407 92511290 67022291 158158619 1000000000000000000 44677518 38604069 13826583 21060416 1000000000000000000 436391985 206417820 230604022 302663387 1000000000000000000 853043748 623094004 285936263 609837552 1000000000000000000 277876407 218386777 45027984 231742631 1000000000000000000 494269823 444568123 200184620 319839342 1000000000000000000 76882709 48891393 4196706 38904375 1000000000000000000 251483415 113566412 4846304 139585860 1000000000000000000 273645332 241311445 167264247 77733027 1000000000000000000 680725373 441149746 509071286 12365584 1000000000000000000 411342677 124191091 356473686 123962345 1000000000000000000 353889915 249833710 129989129 148665836 1000000000000000000 851643124 149089194 229307850 645304783 1000000000000000000 871812664 755785285 519854685 240543984 1000000000000000000 260110495 104541755 164634403 149714638 1000000000000000000 220768600 123110357 63736917 187630719 1000000000000000000 596308155 24457401 577954325 77406253 1000000000000000000 478900314 299013247 244701161 466612602 1000000000000000000 105533527 40018164 78401849 96516594 1000000000000000000 315221420 112549054 278918274 89868223 1000000000000000000 407499620 383336270 42672586 328381382 1000000000000000000 78651803 75616588 7192116 69309114 1000000000000000000 725825984 706763419 684668606 155840873 1000000000000000000 855921436 806613133 631331424 851348626 1000000000000000000 982346884 813409718 168632282 482881821 1000000000000000000 343685473 176495702 212444494 329474810 1000000000000000000 97507424 54584074 84485553 22681521 1000000000000000000 893398173 407380179 806906421 337375052 1000000000000000000 337759866 244673328 129579735 327066244 1000000000000000000 549132555 479948404 287383098 323326510 1000000000000000000 617487638 33196572 339575995 540042721 1000000000000000000 120158890 6803113 20002338 51231828 1000000000000000000 633423867 448988165 327898801 79736686 1000000000000000000 172277005 39559361 11568668 42736401 1000000000000000000 691205935 8510686 631203843 605736126 1000000000000000000 479723199 233652855 124156730 69533382 1000000000000000000 902733234 58534519 733780087 588944004 1000000000000000000 184669479 34341628 162270330 4505729 1000000000000000000 68106334 43220226 8906344 17976986 1000000000000000000 642215822 425872985 623518939 98850214 1000000000000000000 509353622 87421770 116075417 99288494 1000000000000000000 455171240 302415558 371211438 377703121 1000000000000000000 60903268 59208346 13869227 40192147 1000000000000000000 620986967 605779953 489967154 574427114 1000000000000000000 568842801 490194144 284996185 215680886 1000000000000000000 663900996 563626458 215861858 85187184 1000000000000000000 680153650 451574755 460860246 147542102 1000000000000000000 345613453 110956738 322445430 251731796 1000000000000000000 125422946 46868944 106063785 123626338 1000000000000000000 110292221 64907056 47115540 30421644 1000000000000000000 240008702 47534871 25507963 215179791 1000000000000000000 249154605 224099529 77829849 181295941 1000000000000000000 634858391 61707834 506658203 554333588 1000000000000000000 262249596 10340942 186956662 158807245 1000000000000000000 809619010 672016867 257390519 767505402 1000000000000000000 857868532 414360479 34097340 72264083 1000000000000000000 976536036 76623015 603966309 364344844 1000000000000000000 541530240 129255015 190918549 182129234 1000000000000000000 641556723 460701020 171453030 358388980 1000000000000000000 655745589 48005464 405171518 622443680 1000000000000000000 711127485 661490470 546395737 377546231 1000000000000000000 440158643 89735571 390669454 371556909 1000000000000000000 992082610 956588419 742011071 731230157 1000000000000000000 838106123 70872816 216731180 467392855 1000000000000000000 622813522 430413525 9668199 76085099 1000000000000000000 839296159 512375614 719676776 591804641 1000000000000000000 209993540 43002620 119648622 12366783 1000000000000000000 455113516 212567633 1391721 248753149 1000000000000000000 421515106 241587504 34017019 51412116 1000000000000000000 222325309 85546560 62195794 42728705 1000000000000000000 957819763 99049035 447465041 292593367 1000000000000000000 199711196 55079291 178685891 75892713 1000000000000000000 608639211 430861927 183993778 287749659 1000000000000000000 906272059 651832355 317717693 414366062 1000000000000000000 192995888 71144868 87267068 114866707 1000000000000000000 543642686 192795353 54677276 297381545 1000000000000000000 106142548 72944345 64748708 61512554 1000000000000000000 683477038 295235477 86820260 451689951 1000000000000000000 977284961 404193186 846470115 479089647 1000000000000000000 624498991 584855791 372709217 340725843 1000000000000000000 873488292 334601200 466538340 380522602 1000000000000000000 512605587 246157105 463465543 322461705 1000000000000000000 553715623 426119209 169224485 7251205 1000000000000000000 867340916 111385575 451967104 623375569 1000000000000000000 373719933 95476858 122877393 373587316 1000000000000000000 525836793 406129069 411384667 184774525 1000000000000000000 666085150 446257849 366306908 356217272 1000000000000000000 907153086 891594924 439008985 513953672 1000000000000000000 213022701 122221266 50147892 1584097 1000000000000000000 838414384 61859023 67659826 656577706 1000000000000000000 772860394 429481495 762530852 510751217 1000000000000000000 147331552 82763047 94175837 134860237 1000000000000000000 520253380 194579861 21917337 455077327 1000000000000000000 481765306 121309173 145888102 10812897 1000000000000000000 438873517 356023487 347396985 385759083 1000000000000000000 310659041 251916319 228980051 216771705 1000000000000000000 183118936 116274587 6748099 149082239 1000000000000000000 112226662 33516720 103421474 68339330 1000000000000000000 234923722 158272981 206182318 144365550 1000000000000000000 558362688 120455386 371774964 151562477 1000000000000000000 172163164 9357906 126307681 76894830 1000000000000000000 132358260 25151761 122722933 74290015 1000000000000000000 639551933 551093121 496672993 367930244 1000000000000000000 604839421 528036065 565774455 95100666 1000000000000000000 870270490 34795810 204724998 477891484 1000000000000000000 966928047 25418654 687814068 946268282 1000000000000000000 466345587 284235455 237438176 86262363 1000000000000000000 595167 406066 444185 73273 1000000000000000000 342811475 337585603 286758964 87460755 1000000000000000000 12680226 692706 7230279 7960402 1000000000000000000 646362073 275704271 103710431 304432817 1000000000000000000 662919385 352688130 191604462 133052519 1000000000000000000 299012030 136535472 151979622 203250124 1000000000000000000 301709982 185784488 195111475 189841056 1000000000000000000 376382537 251165634 176648739 240153663 1000000000000000000 687326182 213827406 536780727 528545847 1000000000000000000 492374350 466858026 195545099 267794169 1000000000000000000 432802862 321960812 338324273 312766174 1000000000000000000 862677277 71018648 382235677 411340537 1000000000000000000 788340629 746186819 296885717 711388900 1000000000000000000 83715353 68599012 65435050 47599927 1000000000000000000 570804454 47956128 56841263 343446226 1000000000000000000 312958058 197115737 131181624 188945919 1000000000000000000 991528781 287548053 294824836 873095132 1000000000000000000 950796212 188450373 508732245 609535936 1000000000000000000 142711577 69843815 100058435 22873199 1000000000000000000 455666886 231865470 280992899 218192380 1000000000000000000 396163204 266156940 298255638 101499211 1000000000000000000 52094019 23438573 5174929 42083693 1000000000000000000 122709912 112763255 97979074 43236716 1000000000000000000 637891244 353734226 295374319 238521725 1000000000000000000 712593663 71356509 390992480 519796693 1000000000000000000 105397656 98207975 54737427 4683628 1000000000000000000 170228849 72257428 44963948 69819682 1000000000000000000 965582556 110995215 839993271 937600244 1000000000000000000 159271263 63772677 46016462 122660384 1000000000000000000 843163951 124053301 435034547 620703088 1000000000000000000 933500628 273941642 347807455 542950900 1000000000000000000 20699093 19736017 14224783 9522039 1000000000000000000 404393551 228128183 136434557 274291058 1000000000000000000 479274684 271079384 271514965 390673044 1000000000000000000 137118227 126135792 75384558 77733193 1000000000000000000 619174100 157933451 416497644 373331130 1000000000000000000 755284977 17007589 147516224 294989548 1000000000000000000 578634045 317286040 47981240 533032881 1000000000000000000 976314480 567508592 480258997 921720300 1000000000000000000 190186010 53479316 135292918 37134818 1000000000000000000 884858947 565763837 867383893 520384980 1000000000000000000 183611926 111720542 124535483 44942077 1000000000000000000 164219758 83079561 126900775 126196198 1000000000000000000 817189321 33344749 450204156 204882526 1000000000000000000 171503004 94955251 6789491 53339854 1000000000000000000 104636733 37775673 53621793 7230327 1000000000000000000 178170139 23261052 116691663 67985499 1000000000000000000 529901785 426574017 1241404 11969900 1000000000000000000 694323713 375066925 687054963 589067557 1000000000000000000 28045757 18469105 2575605 16624501 1000000000000000000 24569914 5569959 15944021 11166609 1000000000000000000 278856391 250499965 236262864 174104973 1000000000000000000 123405223 74167460 81250995 118991696 1000000000000000000 780657705 707616097 3621360 141284543 1000000000000000000 776817093 309289767 446888435 659242769 1000000000000000000 792041852 466138504 385907247 286864064 1000000000000000000 865558881 785199193 509853016 815623182 1000000000000000000 388029282 76496383 384592376 273229675 1000000000000000000 77096869 36477879 41348048 32999514 1000000000000000000 241104763 615123 33831231 219717064 1000000000000000000 186414379 62035912 102055267 72614339 1000000000000000000 699499337 353249296 45938559 105176766 1000000000000000000 96944645 80725919 3871013 20564577 1000000000000000000 127283151 109642171 5943911 87412767 1000000000000000000 62838451 32267742 50414999 12700513 1000000000000000000 783343574 351559941 693689526 574306455 1000000000000000000 330656830 25217188 125530604 25851420 1000000000000000000 168669659 82730224 92224318 127994171 1000000000000000000 746250688 420954507 436617914 661503511 1000000000000000000 682094113 57592093 679324108 532820863 1000000000000000000 208687602 61099665 8303487 24130265 1000000000000000000 865896506 274011828 319370283 44440635 1000000000000000000 104891883 26940537 7918161 18932672 1000000000000000000 578231215 38314074 41591453 36988519 1000000000000000000 776858981 666758440 565191823 555382411 1000000000000000000 116297067 29124311 9618945 63685527 1000000000000000000 778710817 439741466 439071768 301928865 1000000000000000000 167991517 80011264 54011722 110831134 1000000000000000000 613049668 171279057 99598853 467571631 1000000000000000000 816535287 357862633 347069134 557780022 1000000000000000000 976234036 862525879 598482572 40619892 1000000000000000000 326202966 250187610 70056213 292902410 1000000000000000000 354186811 206827081 117773118 34440692 1000000000000000000 215340401 187877715 13266516 63046238 1000000000000000000 631089021 324781588 290717356 502498054 1000000000000000000 617795847 606755323 51829335 47266583 1000000000000000000 364309904 275273702 287646674 68457130 1000000000000000000 778394982 74115345 635542708 700800737 1000000000000000000 694672976 605315277 280890741 547583667 1000000000000000000 762697601 94506406 255481956 477017390 1000000000000000000 90018121 40153746 54278856 21864485 1000000000000000000 747686578 109160511 432702563 514554655 1000000000000000000 786773017 752471088 174590517 544235889 1000000000000000000 276088 78327 108564 88492 1000000000000000000 725184240 105225607 152642509 174260321 1000000000000000000 792115882 419855097 327659718 441950633 1000000000000000000 467999866 60314322 178687108 63299235 1000000000000000000 277624431 242069205 5597080 272123097 1000000000000000000 813417672 615099736 744924153 194599961 1000000000000000000 957581850 273573631 851121582 628158145 1000000000000000000 837470068 390902955 19788185 801409003 1000000000000000000 828376936 154164408 486950697 688416381 1000000000000000000 102674363 30312254 45294630 22675928 1000000000000000000 823421465 362104825 211183946 460902396 1000000000000000000 23695525 23431056 17800516 1030385 1000000000000000000 71007214 19479673 57431313 59320337 1000000000000000000 142667835 80968155 6200764 91942953 1000000000000000000 118869502 111469398 18564106 3509237 1000000000000000000 668803996 665882862 485377410 193491920 1000000000000000000 958181099 763735754 685020696 733707922 1000000000000000000 950310542 621632232 622930015 494430615 1000000000000000000 487051225 226324221 320017638 403988815 1000000000000000000 284095449 136614395 123276327 90471850 1000000000000000000 5330213 4027368 2581474 2475032 1000000000000000000 786189489 251551366 27087872 449177355 1000000000000000000 177882217 66975185 100510475 96592586 1000000000000000000 109014107 13482029 18628303 98386145 1000000000000000000 644985448 521550067 195802840 555444693 1000000000000000000 101428169 80618311 22063160 27496048 1000000000000000000 686760441 78434872 610390401 320318125 1000000000000000000 570062526 475619698 295867680 218118002 1000000000000000000 483099928 469355356 212025980 408305087 1000000000000000000 250288475 221049308 19044068 122120784 1000000000000000000 141661588 82568610 65810804 12244649 1000000000000000000 848144756 506952068 210351599 408835484 1000000000000000000 44854992 40336502 25970377 21383508 1000000000000000000 684048330 149999954 104849997 154257189 1000000000000000000 152695425 93130817 150547413 53685526 1000000000000000000 987873131 383646642 727948315 474019885 1000000000000000000 913438242 580805756 894591451 344328528 1000000000000000000 345960197 81107359 5903699 203651135 1000000000000000000 128474872 91256990 126720720 49958409 1000000000000000000 214480137 39108294 165873768 209819562 1000000000000000000 222813062 8277848 132633427 35738623 1000000000000000000 760057386 566604314 158502082 441204644 1000000000000000000 23310565 14025387 12409900 10145032 1000000000000000000 413629384 174139926 386003089 255379918 1000000000000000000 151018897 127305296 71466396 67063465 1000000000000000000 553782794 460071831 444470226 360875536 1000000000000000000 467755566 118622874 158611149 181229287 1000000000000000000 833275766 630351745 21517009 480639620 1000000000000000000 711410652 525895609 578051338 463707348 1000000000000000000 385447519 215721946 289097345 364038175 1000000000000000000 956860411 368545006 270012644 364675248 1000000000000000000 242324661 184775223 70439585 66237892 1000000000000000000 871875029 808308258 275448383 494134572 1000000000000000000 47494851 8928549 22958622 20286171 1000000000000000000 149749833 101382939 96584828 41670187 1000000000000000000 603127607 450180173 189550135 160971809 1000000000000000000 858589875 738055965 326524223 393978789 1000000000000000000 744397934 309236926 293398006 265513709 1000000000000000000 793905589 44896299 525352004 78325330 1000000000000000000 79729559 51115620 4255916 49283580 1000000000000000000 470287040 10272817 461149914 12218965 1000000000000000000 891657116 668832394 709018127 639934302 1000000000000000000 452426921 278816654 64726832 441806297 1000000000000000000 564834629 383278410 361204570 148924857 1000000000000000000 74400890 37090913 2558551 38656619 1000000000000000000 111302432 29919088 15910510 93287705 1000000000000000000 532574295 389370730 390657579 265870677 1000000000000000000 723459965 323094357 465581245 176922057 1000000000000000000 590146835 37098713 235346026 56609339 1000000000000000000 455230494 23142082 325430664 51435490 1000000000000000000 495287949 351448603 155708949 11281345 1000000000000000000 179423601 106776498 164268839 147009748 1000000000000000000 222503975 87088360 147696796 196160582 1000000000000000000 479752232 324666790 153772916 84399905 1000000000000000000 528234808 246989716 300064538 181640536 1000000000000000000 885124886 316291705 803593487 718396804 1000000000000000000 631845418 318925438 209585274 267254836 1000000000000000000 707450737 46393030 423799667 529440781 1000000000000000000 11636297 4851235 3126554 8657946 1000000000000000000 461717083 238663216 181369380 31422245 1000000000000000000 575427522 98054900 7462810 454114891 1000000000000000000 646350024 620769935 142507907 576102856 1000000000000000000 701394198 543333480 523268869 351238762 1000000000000000000 160458776 25553219 109308214 57040247 1000000000000000000 23179071 20985631 2089294 22477047 1000000000000000000 177702420 64740808 148846442 157961768 1000000000000000000 659552437 568736727 568401358 289731503 1000000000000000000 505439537 140049087 255117180 494853106 1000000000000000000 478202918 168913393 45568576 449666753 1000000000000000000 294464169 190906054 274991626 213868632 1000000000000000000 435715152 166781217 169670057 117460432 1000000000000000000 643059641 568742255 449571355 334700583 1000000000000000000 613579856 114374985 339365115 291162463 1000000000000000000 295032252 128881402 199827763 253362818 1000000000000000000 175669874 111464190 37541450 121740472 1000000000000000000 250358542 14224417 236908098 22165763 1000000000000000000 183538075 88623506 23075754 141549714 1000000000000000000 664468978 499410371 511949457 474394966 1000000000000000000 603604479 382227991 370190103 123657439 1000000000000000000 803735766 346276740 475195372 184468476 1000000000000000000 196350480 110884479 138821463 45664496 1000000000000000000 558154121 156825152 88871319 266225539 1000000000000000000 226496566 58965975 54393372 39422214 1000000000000000000 825080686 515406916 481563591 262228274 1000000000000000000 780157739 367995316 118551587 372265820 1000000000000000000 161923418 74155688 110520422 89423442 1000000000000000000 802835853 145906070 778564090 728829253 1000000000000000000 236227036 89413500 117104324 147625531 1000000000000000000 872632919 683311138 100997813 482007578 1000000000000000000 471585389 415388479 21858959 120000271 1000000000000000000 490731399 416085351 487125141 383784604 1000000000000000000 717569808 186830050 618993993 554044104 1000000000000000000 659848236 8776479 513572763 653203926 1000000000000000000 937025780 415229348 368994392 94571344 1000000000000000000 490548040 464562217 177729909 273311698 1000000000000000000 91977021 20492564 1863377 27453641 1000000000000000000 142445412 101867318 120349434 93368755 1000000000000000000 956783863 785183742 841106510 522706434 1000000000000000000 445075505 116212539 351670090 317063971 1000000000000000000 22909921 8505615 1673413 6970396 1000000000000000000 30746016 12818857 2853581 23688480 1000000000000000000 130612978 16293761 28574165 16703438 1000000000000000000 900587851 42977812 503784049 69863866 1000000000000000000 565396239 177623729 399833498 391841686 1000000000000000000 842767913 510048682 103220870 364020759 1000000000000000000 545562155 348663083 358274268 85261246 1000000000000000000 613780176 148148506 280764749 46707577 1000000000000000000 958378746 72236922 152927604 786098450 1000000000000000000 445645130 177655637 381648531 355026723 1000000000000000000 941089460 861530238 720481240 329181266 1000000000000000000 850577185 326128283 700569780 423158118 1000000000000000000 77305560 64989898 53791685 7106592 1000000000000000000 236772738 167677741 98155184 187871971 1000000000000000000 234731931 163672219 130699024 54609597 1000000000000000000 5655530 2273950 2201837 4064451 1000000000000000000 716328344 406480285 94449683 322949540 1000000000000000000 451516365 335567912 138176773 178287555 1000000000000000000 456852753 248882139 309701345 308580702 1000000000000000000 704596617 366272302 672397232 102926569 1000000000000000000 499741396 339768219 148720997 433199037 1000000000000000000 220862814 13784472 13132703 155004610 1000000000000000000 856946456 450031202 261823299 530790233 1000000000000000000 104862365 37214600 99696687 34525734 1000000000000000000 612831875 165778392 431254169 334244686 1000000000000000000 456420634 441087416 450088533 40542548 1000000000000000000 150172888 111575212 99365569 149148805 1000000000000000000 472778729 278172776 17979135 385305639 1000000000000000000 918397974 620404120 886888106 734634652 1000000000000000000 973575051 403900873 311452707 498557460 1000000000000000000 104278314 44899550 18550183 63863826 1000000000000000000 121363248 18985926 65013209 28581937 1000000000000000000 159824680 61334021 34080054 147037293 1000000000000000000 344518878 196331655 250155931 337094780 1000000000000000000 76044715 30415060 34963689 26200535 1000000000000000000 503336891 494176652 89569371 301052707 1000000000000000000 176712314 148033510 128205019 87882380 1000000000000000000 893665804 679281290 36080015 399950464 1000000000000000000 352765960 144531214 349882496 31554290 1000000000000000000 359815889 65517711 173669215 255670788 1000000000000000000 289457887 130152698 274498408 53515931 1000000000000000000 8626906 6133746 8387039 2747167 1000000000000000000 763494985 573012281 738152353 486602100 1000000000000000000 848566032 5739065 130425293 114947851 1000000000000000000 950158916 680121228 880975557 788054381 1000000000000000000 656638624 86097351 125672592 72487434 1000000000000000000 991894487 660359579 527883957 885209262 1000000000000000000 128872957 4264003 108798575 33798687 1000000000000000000 595172953 527378766 103939906 86007871 1000000000000000000 32437402 20761252 13091988 11271290 1000000000000000000 344677199 316639314 204538117 260042232 1000000000000000000 930856924 64902957 383791242 123836203 1000000000000000000 112906558 106528813 63960360 6028642 1000000000000000000 532633255 476678702 384071777 67830943 1000000000000000000 418075648 380089936 222501666 408329871 1000000000000000000 84060948 55720787 27485465 11829411 1000000000000000000 478646419 339854148 261835843 474002837 1000000000000000000 303663635 63360708 285883082 292922762 1000000000000000000 281492587 235505948 75104195 243850488 1000000000000000000 440548819 157322259 213725968 26286091 1000000000000000000 634050124 312089462 470381244 508881094 1000000000000000000 58902493 49999055 44191924 19635410 1000000000000000000 863277598 114751473 635420412 423598437 1000000000000000000 415162182 150514714 143466139 19816074 1000000000000000000 542173791 495106916 349318155 56071666 1000000000000000000 301379178 24946975 244372448 76632780 1000000000000000000 782963881 394292936 715568250 191499553 1000000000000000000 405320757 294259151 212992926 162521127 1000000000000000000 794660074 117033304 81528244 143612377 1000000000000000000 741752070 575948671 482678521 48770738 1000000000000000000 41404280 17498158 22936528 29044394 1000000000000000000 832863638 682834653 131252625 419057964 1000000000000000000 119665190 52620077 107342611 58193286 1000000000000000000 741125485 436472459 594262242 552155832 1000000000000000000 341051361 303545577 327785098 338969876 1000000000000000000 206650678 72172343 203314359 87624781 1000000000000000000 326848226 46122434 234243333 45398593 1000000000000000000 759279389 130963695 743607078 445673086 1000000000000000000 679516852 293291790 162419721 306821522 1000000000000000000 172892728 123886557 146033179 102171613 1000000000000000000 384997678 241805702 368460049 44634892 1000000000000000000 236105774 107789786 146150155 16423349 1000000000000000000 430356168 175750733 153116780 379443030 1000000000000000000 391928660 276673689 322126504 252979640 1000000000000000000 314082782 204624136 309047385 11409252 1000000000000000000 652377667 376863889 46574066 387610015 1000000000000000000 507066358 469910728 132464244 51474359 1000000000000000000 274256398 102184375 129787364 154327764 1000000000000000000 264516446 24367014 211699054 166825859 1000000000000000000 133097544 81796502 69103801 124128170 1000000000000000000 466639505 65339800 129939123 149699308 1000000000000000000 269914898 269339628 212502497 8263730 1000000000000000000 959579964 662527734 632551182 11534373 1000000000000000000 645969122 342727398 369869738 528356975 1000000000000000000 453391256 42860276 448557124 323515592 1000000000000000000 285968602 52434231 15700575 200824614 1000000000000000000 118436626 62271453 99600764 83685283 1000000000000000000 477004141 393835214 118317286 377733485 1000000000000000000 209117638 184658956 86732773 129039024 1000000000000000000 191001070 12801760 28735325 37058464 1000000000000000000 913569564 133896307 104762327 272236147 1000000000000000000 619793316 122106103 420501250 106607928 1000000000000000000 187493433 143832158 104755613 184598448 1000000000000000000 862023841 69967025 69196913 653587388 1000000000000000000 102166475 611209 96618893 57960886 1000000000000000000 761931057 532147882 137431864 146222177 1000000000000000000 840767568 582909246 458955313 809282837 1000000000000000000 895586993 487674283 506553061 99869579 1000000000000000000 927327476 771173772 8119237 710188205 1000000000000000000 349051475 89162908 232358847 44072596 1000000000000000000 189501898 75028978 161646129 171664782 1000000000000000000 832849398 397990246 338231619 277114444 1000000000000000000 873723693 690885431 265055871 550403834 1000000000000000000 135167409 13626516 49198141 49045816 1000000000000000000 594129863 501611980 245184170 21281825 1000000000000000000 326193872 85527640 306181479 142961913 1000000000000000000 962882796 916876671 808964756 842561453 1000000000000000000 933146217 888054760 445088250 349611448 1000000000000000000 480186375 407954909 463688583 18439400 1000000000000000000 412916633 90662705 185961933 292487297 1000000000000000000 690353175 611551697 175955830 633449893 1000000000000000000 668439378 597858199 373710082 169529896 1000000000000000000 198041102 106321286 142504914 22202894 1000000000000000000 53249806 33767488 37297645 49740862 1000000000000000000 816788495 809176153 15975620 168583268 1000000000000000000 628701487 295103456 146420693 498568732 1000000000000000000 92618023 39872045 64333439 23791129 1000000000000000000 583914293 202243974 559020814 375275030 1000000000000000000 794961521 596997243 259390487 612774180 1000000000000000000 361957364 286689873 333300362 82849935 1000000000000000000 533698572 460757220 313800445 240655365 1000000000000000000 664499884 141684655 409233560 395355723 1000000000000000000 683532533 48568519 166753144 545404538 1000000000000000000 373335250 107247772 38817760 233599250 1000000000000000000 314208763 194997509 180119700 202759251 1000000000000000000 78851989 8700335 70830243 62349453 1000000000000000000 400077705 188771271 147675502 357582235 1000000000000000000 969392768 215267415 4245662 584285417 1000000000000000000 419998643 395076317 273151487 98545824 1000000000000000000 505824124 42706119 405162470 9205903 1000000000000000000 560048073 255576382 474134786 138020367 1000000000000000000 80878176 51694791 9257781 50059664 1000000000000000000 733123496 410410401 248811820 139483103 1000000000000000000 771921874 57967651 314582277 444032190 1000000000000000000 223894917 168960935 144479660 19138527 1000000000000000000 346480458 256463214 211251055 332001827 1000000000000000000 9143394 4849152 5340939 3601439 1000000000000000000 913612859 96542421 496934661 524439978 1000000000000000000 835139102 719516784 340386655 684729530 1000000000000000000 794472196 285086958 159513538 540809877 1000000000000000000 399730573 250988617 122746329 80817612 1000000000000000000 582013261 370443872 233411069 98245361 1000000000000000000 426345241 40947142 241410042 403362756 1000000000000000000 480177237 198131704 90116064 2794813 1000000000000000000 149275832 11748663 65259140 146665262 1000000000000000000 279111830 254082296 5581014 136419976 1000000000000000000 650352028 483454550 11158615 259154864 1000000000000000000 818805101 89170577 619686588 503395827 1000000000000000000 209917907 91371643 66174105 76711659 1000000000000000000 474276038 47693099 389462565 165007099 1000000000000000000 566142646 456550276 159104169 91568659 1000000000000000000 670032858 170820837 151161831 213883629 1000000000000000000 180918194 9761961 146423981 128643900 1000000000000000000 439534293 301084967 268764204 380703675 1000000000000000000 140598630 59586049 57840817 102166468 1000000000000000000 732096489 149421466 327673642 138878142 1000000000000000000 569096473 12856732 453425639 22543778 1000000000000000000 368621654 204790965 232921724 7438874 1000000000000000000 820889219 348966898 247153816 725099694 1000000000000000000 162466208 72779790 99879898 17937002 1000000000000000000 291216776 246965111 134559794 28786878 1000000000000000000 386176082 87030820 65968349 84583755 1000000000000000000 295878667 222847204 126600352 256875136 1000000000000000000 635871476 318513477 533402495 458734851 1000000000000000000 394010878 317208916 56538506 284809054 1000000000000000000 107844648 78311516 57685023 104070005 1000000000000000000 540741127 241325203 321127290 146570015 1000000000000000000 846364069 426311995 2786928 677880129 1000000000000000000 395216466 154788904 304121849 346456592 1000000000000000000 740363936 312040754 700963624 315807183 1000000000000000000 585953725 1669127 180849947 472244537 1000000000000000000 123308029 122150993 121066327 109301402 1000000000000000000 234694233 193189774 150360204 92586728 1000000000000000000 340743792 82190158 322266077 174877161 1000000000000000000 696270047 34084096 245165859 679119132 1000000000000000000 714176484 69981113 391845600 701628610 1000000000000000000 526316819 49352417 479916782 521299693 1000000000000000000 611177899 372466763 95769717 349692204 1000000000000000000 184249232 180839182 25483041 61085756 1000000000000000000 166831256 84467559 153870754 112267986 1000000000000000000 367064343 79938091 85045543 328615213 1000000000000000000 561703103 251752711 441160407 165278991 1000000000000000000 987554490 436394419 171282247 575332112 1000000000000000000 717319589 82185155 558013050 135704257 1000000000000000000 271269942 262013753 193001249 193787528 1000000000000000000 474776669 362807563 354179604 218504279 1000000000000000000 327822881 27326575 84707453 44731289 1000000000000000000 75525000 22980229 34908920 3899535 1000000000000000000 161959891 110122902 56147617 120931831 1000000000000000000 32569576 25006108 24427875 25110038 1000000000000000000 465222057 17051819 173270821 163143402 1000000000000000000 722172609 103423683 504741011 218278272 1000000000000000000 854733529 78904847 316827750 672913205 1000000000000000000 661445857 115120633 21971421 75026207 1000000000000000000 474054529 205930983 230071610 33194775 1000000000000000000 528086098 114201734 438530404 131067412 1000000000000000000 141525376 120824047 112808243 94052413 1000000000000000000 41494657 17766425 30698921 32532435 1000000000000000000 327688342 266821171 271089373 248428392 1000000000000000000 311645328 248864244 24660962 149457194 1000000000000000000 374334423 280072002 285569048 124363427 1000000000000000000 195532081 188029890 130782834 75871737 1000000000000000000 40418149 32808483 2899785 18855276 1000000000000000000 209254172 20152211 42837902 113457597 1000000000000000000 595328620 86430078 286164137 511505676 1000000000000000000 495335444 135053184 355509202 211864808 1000000000000000000 439738848 425384747 242802638 369681483 1000000000000000000 326123320 132187074 149221986 310477725 1000000000000000000 794436037 83899639 170520783 324335303 1000000000000000000 855540700 298575039 538121209 109156196 1000000000000000000 315792427 21433354 304405322 120790178 1000000000000000000 951175607 312354463 732229893 429151782 1000000000000000000 184743695 24569092 50157210 24129902 1000000000000000000 254203002 91706848 17456005 242454164 1000000000000000000 550769029 8399178 110623691 380306173 1000000000000000000 826317495 174018616 547629104 532148344 1000000000000000000 207216422 18229713 61163624 147003769 1000000000000000000 358625219 179474781 42452584 158837275 1000000000000000000 408661774 26684823 377605871 159243006 1000000000000000000 40356810 9698163 35174889 30680219 1000000000000000000 774924859 450706796 740712322 534655472 1000000000000000000 602077084 322196404 477295506 538938451 1000000000000000000 505761146 409343850 231833695 62330305 1000000000000000000 592272721 241767807 547884211 524875269 1000000000000000000 860944923 798697382 726605939 686201544 1000000000000000000 919834005 478389619 553252979 526191748 1000000000000000000 442458480 159471263 318161241 441713567 1000000000000000000 43995762 32122670 32860687 41992318 1000000000000000000 637514480 292955904 132859156 243976790 1000000000000000000 108958964 59980869 11931223 102839778 1000000000000000000 597209546 290946800 81353712 314379072 1000000000000000000 581118996 440053904 577953203 432096016 1000000000000000000 390798376 47754771 200830543 166975091 1000000000000000000 839976720 304996493 73600169 354023285 1000000000000000000 902893384 341816143 704885001 704892083 1000000000000000000 63099909 43400764 552438 15708578 1000000000000000000 926386930 775012169 441154594 653310992 1000000000000000000 34274040 28967558 28961627 21533203 1000000000000000000 818034120 247029485 232673630 110388912 1000000000000000000 196622871 84435048 46567062 24167893 1000000000000000000 185743693 88698470 134275708 31018650 1000000000000000000 758968001 492713572 76874994 568952408 1000000000000000000 866105256 810834730 6783713 277615951 1000000000000000000 469734128 323715314 48074536 7892713 1000000000000000000 627325817 244462382 164597967 548444169 1000000000000000000 873992235 221030001 402002159 418059202 1000000000000000000 345488802 41111793 179231211 292997848 1000000000000000000 511756063 211917626 207983013 230387094 1000000000000000000 497567568 76396002 449461456 372504498 1000000000000000000 79007788 62297100 39415686 26448095 1000000000000000000 414905584 361448912 87334771 203371922 1000000000000000000 839156808 822742266 306297367 233702791 1000000000000000000 894357287 438589151 893884638 527667168 1000000000000000000 217734630 3644050 169321623 90034341 1000000000000000000 529369594 449293459 464183071 463154570 1000000000000000000 755805326 748192379 752342525 689890242 1000000000000000000 423708183 40632414 297158122 149386830 1000000000000000000 935595461 354925148 788591205 79174146 1000000000000000000 301305853 12333138 50512858 22834145 1000000000000000000 910575639 452417832 147354727 684740542 1000000000000000000 416181033 191774087 218994531 30827492 1000000000000000000 384977451 366676882 241844118 159437732 1000000000000000000 170039361 4904419 153935042 83141967 1000000000000000000 120187283 27922811 105832692 24447590 1000000000000000000 611205871 554272401 99494741 46376558 1000000000000000000 230709898 171248678 65299097 8887634 1000000000000000000 872108067 561551019 228179541 504529724 1000000000000000000 983184455 895263893 818547580 633260438 1000000000000000000 270978722 192636065 213982728 162933116 1000000000000000000 921681299 591879212 111260934 88625640 1000000000000000000 352781156 211634702 163984077 28058717 1000000000000000000 137148575 88870252 97003953 77850384 1000000000000000000 625287730 50884230 592884876 131862571 1000000000000000000 777004433 292486151 35724233 178406252 1000000000000000000 853218502 630977472 519769189 230356623 1000000000000000000 118050956 19881845 73039240 56087370 1000000000000000000 700469384 158193075 284111220 258240285 1000000000000000000 952463589 107942774 339904627 688620732 1000000000000000000 475561690 338536316 49424979 132809802 1000000000000000000 409873855 225040845 79750033 254071539 1000000000000000000 112971683 59284351 42159209 65971193 1000000000000000000 751988054 90643203 57612764 391077366 1000000000000000000 559269787 268333949 473215014 547799524 1000000000000000000 859382728 589079210 418800497 528618089 1000000000000000000 105830452 30251243 23929435 69934584 1000000000000000000 57031299 55689539 13551262 37234997 1000000000000000000 392467713 126842862 308487270 374239447 1000000000000000000 795498965 394182447 70640678 794695833 1000000000000000000 241408555 124966319 39081015 64577334 1000000000000000000 614465182 562890799 267769605 403309891 1000000000000000000 478000326 114223467 470667202 131682222 1000000000000000000 351578735 251590123 79495275 116878154 1000000000000000000 229377532 138565842 5264199 165508315 1000000000000000000 865187358 277653809 841062209 561970169 1000000000000000000 670926677 206360689 585049579 12629323 1000000000000000000 905761739 829870768 110945323 203724097 1000000000000000000 301813408 190223126 87466931 81390654 1000000000000000000 161289213 66688011 146463593 76277853 1000000000000000000 894928148 512031441 432454599 705174749 1000000000000000000 748642915 506342234 392137988 34541703 1000000000000000000 174797937 166995262 137360548 71350386 1000000000000000000 165265957 107826608 66498769 37234164 1000000000000000000 27669407 23268484 928779 25785545 1000000000000000000 745421208 503438929 222407897 482404785 1000000000000000000 980576166 335289264 173819255 809671404 1000000000000000000 347067315 209926422 290967457 225393881 1000000000000000000 781088015 198261846 661410091 251170078 1000000000000000000 738860061 259093734 707455670 591026715 1000000000000000000 814040295 798132424 432221057 276066058 1000000000000000000 95761907 58193288 22386258 10233679 1000000000000000000 781637730 393989948 609112770 608926310 1000000000000000000 17221436 3722730 6096862 183286 1000000000000000000 872407341 13443284 448121448 532411208 1000000000000000000 828388231 255563909 552666808 699299249 1000000000000000000 295918796 90521902 118716669 141035211 1000000000000000000 220616869 82355335 135762800 13799879 1000000000000000000 979026890 263091853 189930253 198938936 1000000000000000000 828517443 629805069 590194171 309392860 1000000000000000000 439554482 437435414 208935382 279376539 1000000000000000000 429132184 258659813 111141052 122810154 1000000000000000000 809531385 416045081 703741408 684748396 1000000000000000000 735641085 701974304 560065094 142134785 1000000000000000000 879182264 121102897 804990682 74037380 1000000000000000000 68209747 56220425 68149498 58300668 1000000000000000000 779459679 359380201 383347593 389900493 1000000000000000000 42681139 9672761 19099191 4660514 1000000000000000000 966520913 158923603 479988390 925955687 1000000000000000000 48900741 46711904 15837168 31488703 1000000000000000000 902436929 235871114 353819743 576193597 1000000000000000000 241555676 131796231 11698836 132938004 1000000000000000000 387423701 144507386 125826074 347144079 1000000000000000000 269864616 56254045 234498637 251894830 1000000000000000000 349958001 106361125 66132743 197936261 1000000000000000000 412207735 98404759 158495397 77938653 1000000000000000000 416927340 98703581 249036916 142268044 1000000000000000000 706325561 619961155 512792803 599711894 1000000000000000000 534711575 312352492 414767336 119998670 1000000000000000000 851496409 310109911 80951613 303982202 1000000000000000000 727939306 20596925 34038887 21310516 1000000000000000000 153198118 93884236 104367514 71893506 1000000000000000000 786359047 597652430 136036722 489216108 1000000000000000000 806616899 491006993 142384213 697891787 1000000000000000000 57988566 7085011 23160610 14522826 1000000000000000000 463645192 239890836 172126241 81572789 1000000000000000000 176036951 83129276 144099300 120042155 1000000000000000000 103985809 76446198 9883987 99266022 1000000000000000000 554909527 535095114 74226762 81224870 1000000000000000000 102236276 95665763 52540228 26598530 1000000000000000000 159263019 33574306 80340787 128894659 1000000000000000000 572609354 318313819 425832029 148263043 1000000000000000000 915818297 693313733 842630055 700132674 1000000000000000000 468335916 436073156 59588940 45606342 1000000000000000000 438286238 380041217 64408437 266378484 1000000000000000000 739211970 296133761 154092936 116656196 1000000000000000000 499989455 495318707 159263662 175805851 1000000000000000000 87076729 70855691 1366996 51722440 1000000000000000000 793186881 336792724 350588478 520060129 1000000000000000000 81926277 28352540 55192639 75413939 1000000000000000000 510666315 361871407 351954603 215994116 1000000000000000000 236943110 185725684 200901736 10016267 1000000000000000000 657584029 616004012 616673948 528426247 1000000000000000000 511141805 379537467 439250472 85347546 1000000000000000000 935654262 735688866 436312993 115174480 1000000000000000000 924658019 769707096 696448522 680267669 1000000000000000000 286797897 172844092 111775148 95051894 1000000000000000000 238175268 20619549 27018574 228323001 1000000000000000000 418175990 300497990 141317484 122834459 1000000000000000000 785961066 694647917 227053291 755059728 1000000000000000000 909945245 504720797 33144605 846787904 1000000000000000000 455308834 74712440 323537083 301728918 1000000000000000000 23479387 12607577 14829318 6634758 1000000000000000000 652865121 377555400 47762152 241531048 1000000000000000000 592133048 22760121 586810018 236210817 1000000000000000000 187673833 38991836 118224576 51355910 1000000000000000000 269326885 9527679 154409827 55410804 1000000000000000000 420762720 339048330 89259756 43540533 1000000000000000000 899238036 352719089 447000484 599004332 1000000000000000000 967333870 332731039 740906594 201639307 1000000000000000000 406026490 6768869 291273139 61348494 1000000000000000000 392169068 28285252 204570230 217970276 1000000000000000000 865899113 208245087 447550249 52478871 1000000000000000000 583441400 344324791 513716600 496424419 1000000000000000000 296509166 123062789 74756201 113664105 1000000000000000000 836217606 818565803 456666430 818617607 1000000000000000000 672869033 176205027 265018404 87572975 1000000000000000000 758860402 649017704 179809932 566579794 1000000000000000000 224861773 138151688 196608928 18862185 1000000000000000000 931565562 868094893 303146297 99340652 1000000000000000000 551133102 193924854 49432853 168080516 1000000000000000000 640598103 32212937 451899134 563026483 1000000000000000000 114205751 6754608 73764006 29622473 1000000000000000000 267800999 169264234 16282903 60526639 1000000000000000000 846650154 523485789 343537802 268501316 1000000000000000000 812586783 412119026 672117543 39279620 1000000000000000000 120046995 95588718 41564136 90413612 1000000000000000000 198512321 105567468 37647714 112315797 1000000000000000000 642076086 338860373 9091104 633927723 1000000000000000000 14603890 4855694 1523981 9546617 1000000000000000000 211231352 32258856 93510648 5340886 1000000000000000000 718245705 311199962 245409613 323914091 1000000000000000000 181073270 162916246 38911361 52964539 1000000000000000000 153346049 108201149 92067999 91176732 1000000000000000000 723733275 610432692 326848996 145056788 1000000000000000000 566785498 3995552 352233395 316097787 1000000000000000000 651474548 558378128 505963313 1553048 1000000000000000000 320558062 182359179 305077609 12186601 1000000000000000000 370937226 147002977 224898474 208921100 1000000000000000000 982617367 360984990 830527169 591900808 1000000000000000000 674193792 201827894 162184098 359107909 1000000000000000000 460284828 289648742 179779724 119364293 1000000000000000000 201700739 100019633 151253513 100889916 1000000000000000000 868465651 475720632 280861684 114707836 1000000000000000000 532600920 197091632 528390364 469781880 1000000000000000000 391241920 82508251 132050443 184095884 1000000000000000000 608024852 36339682 276796913 160495154 1000000000000000000 651458439 186855783 557152628 470992657 1000000000000000000 771478561 49795335 431555461 606750148 1000000000000000000 962274979 633991452 192998367 406156862 1000000000000000000 542770623 67721668 424930223 499959449 1000000000000000000 385694382 284698579 119502227 77544649 1000000000000000000 754964652 29246683 125740124 593007595 1000000000000000000 752779682 46558656 583826713 98432777 1000000000000000000 806309124 99244978 152250189 744954605 1000000000000000000 515667009 262883002 152059125 314238420 1000000000000000000 319278842 85498295 185487612 259206293 1000000000000000000 353450196 261406101 316742488 178805434 1000000000000000000 773413735 714477021 113936355 594129264 1000000000000000000 708170938 463601610 216907604 376919009 1000000000000000000 141496530 64465773 7358404 66780751 1000000000000000000 258237293 80448942 12130970 239845727 1000000000000000000 336252235 310184495 220477233 18130979 1000000000000000000 949444312 713899245 428135306 7549900 1000000000000000000 291451319 10224265 197583907 253311066 1000000000000000000 820600856 709721529 126044241 723074106 1000000000000000000 140454858 36084695 84069328 91298311 1000000000000000000 497153680 453339491 42378800 85765940 1000000000000000000 222341916 147878367 127281841 199528015 1000000000000000000 767465033 509267064 26585611 612332201 1000000000000000000 156627631 16081266 25869082 79519931 1000000000000000000 175762966 153229716 62393781 14097390 1000000000000000000 317582595 237735079 160586902 120970172 1000000000000000000 692303185 661586914 636863445 412223787 1000000000000000000 572762515 85633895 69157594 221945807 1000000000000000000 579841248 268998937 21404725 405686488 1000000000000000000 65356700 21191688 29835453 24246476 1000000000000000000 74924634 71745117 14099160 9186403 1000000000000000000 870679154 338641831 324115883 716918261 1000000000000000000 632429357 494983098 221578420 132747437 1000000000000000000 71004262 47369103 33163612 15905791 1000000000000000000 902394010 797268266 303134463 192592506 1000000000000000000 25235451 287618 16905501 21676289 1000000000000000000 185769521 87173578 40442369 78735058 1000000000000000000 955129707 469183079 541616135 241028285 1000000000000000000 420598426 334011799 364305431 138356961 1000000000000000000 931947357 615492961 155074466 709358478 1000000000000000000 760274370 739081912 567255016 75230676 1000000000000000000 591133689 72036272 577387754 215763958 1000000000000000000 619034791 237932542 182822469 388596138 1000000000000000000 898555786 243741359 230019090 425581763 1000000000000000000 436075081 88636179 224743560 312836561 1000000000000000000 464610581 421517207 405551179 154931653 1000000000000000000 691651267 101251087 284610941 352495795 1000000000000000000 320625108 195965663 116376907 222208160 1000000000000000000 713771070 229018996 7342794 305991378 1000000000000000000 656305995 475640843 170712648 128617673 1000000000000000000 847596970 572050523 318753723 215755742 1000000000000000000 565485716 200765957 164151692 63355996 1000000000000000000 452156319 333944352 70210276 60588594 1000000000000000000 699754309 181627187 491195314 170003259 1000000000000000000 479635680 473065864 122338369 472430724 1000000000000000000 940188850 682749194 14183301 209267392 1000000000000000000 191162037 103732494 19908813 105084526 1000000000000000000 928051987 202290734 820873540 843952858 1000000000000000000 53037625 3412275 27735722 49876382 1000000000000000000 270443523 195014162 31447496 248557284 1000000000000000000 35741839 24541976 10206991 15364473 1000000000000000000 764329382 129166278 141705737 521711697 1000000000000000000 45269198 11449936 31865447 43697253 1000000000000000000 868505709 251681293 53405463 779432787 1000000000000000000 771222900 610459700 563164641 424874549 1000000000000000000 916305743 844575951 1605310 493025986 1000000000000000000 378733925 109694579 181880156 261956017 1000000000000000000 355577 92820 67266 228075 1000000000000000000 564875140 494275216 35386715 205636699 1000000000000000000 509660692 84715829 18427071 356488248 1000000000000000000 764572421 532372907 500893366 29495168 1000000000000000000 759451104 543174859 396777591 376731393 1000000000000000000 123193199 1592666 30041842 107933639 1000000000000000000 232092274 195155284 135840984 167386094 1000000000000000000 86548572 43830403 4513065 58878200 1000000000000000000 119526920 42156478 30991641 103457576 1000000000000000000 790887480 540940937 119056664 368718763 1000000000000000000 793553986 43732508 163638247 542110321 1000000000000000000 104582108 72512148 23079598 51061879 1000000000000000000 876457419 832904446 332697309 645641402 1000000000000000000 252754313 137373766 16870087 179691466 1000000000000000000 383801643 7559386 7131419 282368890 1000000000000000000 643681036 461678009 204340452 239983342 1000000000000000000 34609551 21193045 24872296 19578752 1000000000000000000 168760445 107989581 55577682 136135143 1000000000000000000 472872713 278575159 367986969 183277037 1000000000000000000 875504275 186682331 410053127 838335285 1000000000000000000 598293972 565377721 240398976 155312524 1000000000000000000 97713229 35719278 17031677 45511981 1000000000000000000 144235735 23153407 133909092 13665058 1000000000000000000 446764563 149502937 129330677 298966874 1000000000000000000 426095998 37602755 386620191 317018779 1000000000000000000 703686803 133727002 313907412 260456083 1000000000000000000 323856560 119545804 197695993 263289419 1000000000000000000 359214635 28341546 203395722 202145837 1000000000000000000 854290691 784670243 760081009 168355238 1000000000000000000 425177804 239275 133194577 117496282 1000000000000000000 592261673 227335173 561567981 527560003 1000000000000000000 749980684 316098115 719937908 212793030 1000000000000000000 4073205 2110033 2284251 3182579 1000000000000000000 274744709 262679297 92349019 180955735 1000000000000000000 59010789 46719241 45926189 17551619 1000000000000000000 853937976 750198884 412711831 101845356 1000000000000000000 757853940 564579051 21133501 445323609 1000000000000000000 582797251 137863542 472684377 179314831 1000000000000000000 519249843 83851375 215297801 25045792 1000000000000000000 975582460 116667614 895816531 388962429 1000000000000000000 451437175 134834973 417578084 409366298 1000000000000000000 35181910 31534614 4134683 21481827 1000000000000000000 748275774 534914144 194211837 121681325 1000000000000000000 750615262 63630223 511722127 628788633 1000000000000000000 173673413 79321012 10852497 67952483 1000000000000000000 185806327 159727524 41503072 63092079 1000000000000000000 132121392 12631455 10864759 118797122 1000000000000000000 719417852 156420069 507309984 441670392 1000000000000000000 821714815 197899940 241750251 618025033 1000000000000000000 145416346 116803118 27725264 18805822 1000000000000000000 436786692 87967664 260517495 281260347 1000000000000000000 559107886 37973570 19934839 59709637 1000000000000000000 351976953 96043341 138048132 294769645 1000000000000000000 224495850 19656144 157244990 39958433 1000000000000000000 494295484 427609733 15457981 420771394 1000000000000000000 495830849 62840392 439191241 22292963 1000000000000000000 646964675 11784722 335181253 401545571 1000000000000000000 843843826 677128715 163666865 797365337 1000000000000000000 103844301 65898431 59467365 47202176 1000000000000000000 995500502 588643476 364093655 941001440 1000000000000000000 115933919 105351267 41678329 57385271 1000000000000000000 754765263 105036698 596031867 558479201 1000000000000000000 747211925 405896486 100355528 567772163 1000000000000000000 133185115 51945072 119681588 15094577 1000000000000000000 756599924 219589826 58601491 274766727 1000000000000000000 93300386 28607501 54239232 46919000 1000000000000000000 231086630 209510314 25034178 85245664 1000000000000000000 895648205 321058294 658022186 394758751 1000000000000000000 536368618 79537666 228353910 121336185 1000000000000000000 435723672 70104900 242958067 271779645 1000000000000000000 885636971 567909052 260512563 569286639 1000000000000000000 585977227 448628583 29136455 399821771 1000000000000000000 391977473 110073752 323261784 351380177 1000000000000000000 779605813 306752056 513778478 621379798 1000000000000000000 238737284 197933398 2520595 160077832 1000000000000000000 848775334 54410615 210575828 60061108 1000000000000000000 898835854 856662373 245234008 192939433 1000000000000000000 803488635 98274892 645303668 235701595 1000000000000000000 428007950 357712739 212120178 197013344 1000000000000000000 879836317 817722800 267801684 300260932 1000000000000000000 963958214 462130981 610093326 32083467 1000000000000000000 171468432 106619833 38711019 84288785 1000000000000000000 877416285 701993017 612442986 480436154 1000000000000000000 269759371 92444350 145649193 106763351 1000000000000000000 473367337 264641002 129659906 222725433 1000000000000000000 465933918 23610794 111059144 7441169 1000000000000000000 673263950 256698867 636966257 7329254 1000000000000000000 530457025 365277432 274956835 195935657 1000000000000000000 269956485 30904044 93494682 112177933 1000000000000000000 461881910 393845687 244053068 4944043 1000000000000000000 370160082 137400483 53850520 138084067 1000000000000000000 30288735 16069168 26324645 6214267 1000000000000000000 843726642 125488231 627592605 56384089 1000000000000000000 617620214 414520627 44812658 402122339 1000000000000000000 650974638 74743671 307480550 150762434 1000000000000000000 891976163 21985451 497818586 790744298 1000000000000000000 222940456 190538464 210455339 210103984 1000000000000000000 4522221 4444110 4450284 462422 1000000000000000000 383231251 101423986 373109931 253900748 1000000000000000000 930276341 31030173 829444637 673834160 1000000000000000000 447698424 125561744 256318591 258300537 1000000000000000000 232101898 35700734 224516433 201198111 1000000000000000000 586600002 555288045 291902471 273273568 1000000000000000000 738889757 612942740 508843789 102282709 1000000000000000000 120614941 41196224 94555112 100420065 1000000000000000000 705537123 431621415 646210624 558220894 1000000000000000000 774958221 125719120 411572425 168219745 1000000000000000000 40738474 22540097 39942713 19697768 1000000000000000000 356867381 268379707 84568914 309202685 1000000000000000000 676772735 319350056 587881245 488677794 1000000000000000000 467568275 63872871 395233343 316702102 1000000000000000000 423624764 50978130 306046863 22950600 1000000000000000000 25619124 16237145 8120584 7789435 1000000000000000000 917089834 792012937 119389952 626471878 1000000000000000000 447938517 185652104 168888533 162496759 1000000000000000000 545882477 258436117 460521821 376529016 1000000000000000000 73118173 6036296 54793487 35349334 1000000000000000000 681664811 596011970 339111306 670847363 1000000000000000000 519471422 248754458 503200069 333838997 1000000000000000000 45949707 2615714 17273086 18634938 1000000000000000000 361640550 42555168 272401777 359498449 1000000000000000000 508166704 419088572 268346182 332921284 1000000000000000000 349207154 72784945 116571346 208396231 1000000000000000000 10278793 7098990 2601255 1243827 1000000000000000000 751287009 27555865 357450744 203932846 1000000000000000000 186296798 168610682 164684642 117830240 1000000000000000000 489813514 472110388 129426080 99381170 1000000000000000000 460939056 258791902 457373724 230532646 1000000000000000000 165877002 108644736 134607831 102255972 1000000000000000000 174874662 157297656 160207348 3084758 1000000000000000000 274553901 59266575 104223568 246051400 1000000000000000000 292408133 226398768 50470895 45055566 1000000000000000000 635184163 548810141 524607232 68384373 1000000000000000000 799127142 589430626 687669708 119789152 1000000000000000000 521633859 77515172 506905069 65941112 1000000000000000000 763416295 324309734 328402721 253824333 1000000000000000000 442316540 129351954 439453602 118517502 1000000000000000000 625607996 387576943 269562730 547699044 1000000000000000000 441741163 298990140 386459751 388834933 1000000000000000000 293358389 83372457 197333515 127020381 1000000000000000000 835670923 659793050 140155590 613932183 1000000000000000000 325122543 135200015 256455446 230289661 1000000000000000000 430567002 308051167 245506077 365005325 1000000000000000000 280100540 113109542 276286594 112723022 1000000000000000000 947753264 135893120 541709186 828563410 1000000000000000000 366921300 284862028 353740737 220486647 1000000000000000000 680574144 76463834 538769613 394365672 1000000000000000000 623290490 25023952 607319791 2465118 1000000000000000000 703717363 86286146 248952114 57180509 1000000000000000000 826081478 186377706 279025840 583334647 1000000000000000000 628053857 325548954 127011292 567600098 1000000000000000000 232112449 224606272 127778942 81728484 1000000000000000000 464478492 120625399 227007148 407503161 1000000000000000000 34056214 27204480 32138352 12919254 1000000000000000000 583415581 2524567 351501395 217221031 1000000000000000000 284625212 280142601 181154920 282307506 1000000000000000000 749591897 640008129 342296815 46033208 1000000000000000000 408660754 387630665 121993560 325072709 1000000000000000000 698355364 507611566 530090409 600874505 1000000000000000000 558187381 266204767 422220965 18083597 1000000000000000000 725707104 57193152 121155911 693742519 1000000000000000000 193699495 157284866 24608357 174440789 1000000000000000000 98632931 49826488 83371429 87546249 1000000000000000000 7330492 4071543 662395 5964642 1000000000000000000 497443919 477306016 110139238 465166892 1000000000000000000 295634766 248402360 121884549 25470272 1000000000000000000 141155428 83685670 114680297 136499574 1000000000000000000 86527048 55931791 67224069 37624785 1000000000000000000 857202189 450006323 655006931 751474783 1000000000000000000 91263531 51891921 13244190 14090669 1000000000000000000 25668400 2321372 13378794 18572398 1000000000000000000 755747393 489270818 186581318 460916851 1000000000000000000 439002603 96086422 406038353 386946118 1000000000000000000 271068764 242748152 56441434 205233259 1000000000000000000 738443499 225163391 373609012 469995698 1000000000000000000 553699630 256653502 212259928 310452532 1000000000000000000 337210626 228974508 97427448 180830064 1000000000000000000 284710949 195476594 156201994 102342735 1000000000000000000 240357343 206648955 121217568 136589710 1000000000000000000 794924636 430046789 47517865 706456562 1000000000000000000 871274418 195024102 336657069 599961607 1000000000000000000 957461824 586673236 600211789 448882854 1000000000000000000 561822947 193020156 90877956 326194832 1000000000000000000 498409243 452002860 387480862 263896695 1000000000000000000 145561429 74326159 118043628 21729576 1000000000000000000 565015957 170700595 159388103 80654432 1000000000000000000 202636043 122413209 168716839 70189785 1000000000000000000 690644172 551694217 604874231 318520316 1000000000000000000 784731829 110293281 734852269 711336020 1000000000000000000 662595121 83223137 62565844 38564981 1000000000000000000 471376856 368953689 136456328 354815315 1000000000000000000 74512359 10059978 64339228 45568728 1000000000000000000 16127629 12382484 3125473 5920910 1000000000000000000 164740449 109489715 26115869 76476482 1000000000000000000 253319589 41072911 155474676 198902395 1000000000000000000 500311553 383103062 64498617 487377401 1000000000000000000 301881151 32500149 122356525 1997742 1000000000000000000 825608360 261557076 83449992 263142044 1000000000000000000 479206436 374153098 413166945 282473810 1000000000000000000 127097475 2608003 14950518 56865491 1000000000000000000 924530536 288238339 631744132 163458580 1000000000000000000 822153295 369790818 782258927 752402731 1000000000000000000 362941593 297189715 124654107 245606205 1000000000000000000 372784499 163833975 154457871 355791589 1000000000000000000 138500735 79949085 84344805 9989128 1000000000000000000 378075807 2816226 202818092 102122531 1000000000000000000 223984329 174505065 9996047 42955660 1000000000000000000 215632608 191915747 125677085 211422761 1000000000000000000 269142143 261871499 125879171 118322461 1000000000000000000 338609116 81512827 221966698 321905794 1000000000000000000 339448478 274019786 33083338 177112201 1000000000000000000 990591942 314077916 28158779 885966185 1000000000000000000 506109585 380950990 172898277 350249612 1000000000000000000 48970119 15711861 22046522 23035900 1000000000000000000 677346299 13737867 590965706 171990499 1000000000000000000 9324761 282145 1438415 9058045 1000000000000000000 881511871 535617004 410285936 200370474 1000000000000000000 944323252 114054225 883628651 142921682 1000000000000000000 398976342 331125047 148053760 129894130 1000000000000000000 247171460 125102185 175436130 678177 1000000000000000000 271549865 257229510 25121584 4308663 1000000000000000000 497983188 468923045 334764618 271701454 1000000000000000000 896526727 317451696 311233020 579298211 1000000000000000000 774168169 619697201 9426273 136907318 1000000000000000000 731793476 526906216 496577747 718237035 1000000000000000000 5357860 3267138 5288070 4357942 1000000000000000000 317164531 66946399 82503994 31280865 1000000000000000000 961221108 806521801 709332971 904952787 1000000000000000000 842570401 648764081 345593830 38518600 1000000000000000000 78441355 31920218 65829931 59659173 1000000000000000000 513191857 389975173 51555032 448000373 1000000000000000000 798565643 161956278 577515463 606695953 1000000000000000000 41632145 4681054 29156691 23158343 1000000000000000000 903624646 266016809 287188886 196624113 1000000000000000000 414984272 315735133 326966459 183789182 1000000000000000000 451476520 434417748 184346277 78434639 1000000000000000000 717409457 464399981 454827402 558100417 1000000000000000000 475724624 321455138 336751646 82394272 1000000000000000000 690256978 258905467 147132280 372726452 1000000000000000000 572771761 476619593 189348606 117915404 1000000000000000000 369394921 74898936 47844571 76138924 1000000000000000000 934675904 927884475 783048563 169876443 1000000000000000000 69051642 45490691 63787499 9523512 1000000000000000000 806488107 98899919 538220263 388081689 1000000000000000000 943427722 316001811 154245982 193648281 1000000000000000000 357524791 307689156 223875993 196107768 1000000000000000000 281243141 220564221 107834112 203661294 1000000000000000000 817086561 282494254 551901767 318399271 1000000000000000000 71860475 26490944 41103053 39892130 1000000000000000000 821280474 441428422 467479681 232042132 1000000000000000000 680571089 429600387 275107245 61343078 1000000000000000000 986368000 370360604 799371573 341603127 1000000000000000000 208739703 8685013 15715511 98124298 1000000000000000000 498036893 298111142 364566025 403724246 1000000000000000000 177094611 98367552 117463409 1527731 1000000000000000000 607463374 217535025 542358964 138342884 1000000000000000000 493611880 159789998 234868787 452605480 1000000000000000000 641476640 435564724 96057497 628122397 1000000000000000000 307434878 304632034 284944174 171758893 1000000000000000000 901762320 383284910 299561115 131804853 1000000000000000000 547928025 355036111 433749093 29070383 1000000000000000000 844971121 385618696 214153165 490020697 1000000000000000000 923486969 96831999 104129336 447459183 1000000000000000000 102046842 62886193 53847999 59796908 1000000000000000000 715303297 619924436 142673769 422595881 1000000000000000000 27115667 18348287 4482855 16732754 1000000000000000000 650051718 366908851 164934886 328100773 1000000000000000000 71023479 5273188 64970474 26096053 1000000000000000000 651233269 544194885 40343452 12400842 1000000000000000000 84071536 24169611 22856556 3475987 1000000000000000000 544922082 85713079 85226371 279501228 1000000000000000000 618894762 554617707 125821988 450796413 1000000000000000000 990134069 368586697 852304571 656924845 1000000000000000000 834636638 189412858 451872438 385640904 1000000000000000000 436364906 248143458 327541594 332964267 1000000000000000000 889987390 417087087 44353421 173199836 1000000000000000000 177087993 42029841 79712557 85073143 1000000000000000000 54930635 37889673 32974095 7000951 1000000000000000000 942775736 871675933 416695446 679367968 1000000000000000000 705369389 456432501 687977138 330909879 1000000000000000000 435734689 331089084 128463730 28456393 1000000000000000000 434395607 211624822 350160215 157808962 1000000000000000000 926156071 606646717 465570866 254373286 1000000000000000000 295834153 59431547 221843927 59899460 1000000000000000000 399912486 245135937 83792839 197023296 1000000000000000000 381018180 36198871 19005987 181271291 1000000000000000000 643685771 112616202 431715546 185386831 1000000000000000000 361219256 254081789 291091636 265749146 1000000000000000000 876563266 174811635 41846309 631493896 1000000000000000000 849588553 325811546 836063124 278151726 1000000000000000000 777588192 687202808 187287999 218803536 1000000000000000000 524339514 291563788 128895735 281150590 1000000000000000000 926025818 381748030 238291956 860709026 1000000000000000000 91379465 67348206 9259143 14652120 1000000000000000000 153961096 106675673 14131117 43579276 1000000000000000000 607119460 495562417 46582751 431584881 1000000000000000000 216511707 4281090 71141767 40156335 1000000000000000000 263138978 237569732 167322587 14920065 1000000000000000000 347327657 60989013 251145800 231109904 1000000000000000000 401359394 232786952 95241921 82157158 1000000000000000000 250655984 181511209 195688091 180015339 1000000000000000000 376697983 11960989 348943265 375938735 1000000000000000000 834003655 717167275 350612446 204767624 1000000000000000000 448997433 176204141 362090571 414222482 1000000000000000000 463612395 401736973 187048709 314176273 1000000000000000000 717995609 377032106 58909764 77606473 1000000000000000000 327630070 150032548 51393748 255370072 1000000000000000000 273262177 98757258 122358237 222863368 1000000000000000000 920127597 695630107 460834453 4837119 1000000000000000000 84959858 26372406 49450886 47005729 1000000000000000000 651847109 179099343 291291738 515424985 1000000000000000000 622934067 431357882 345161308 187704414 1000000000000000000 90006612 69777551 76950028 81143572 1000000000000000000 814824938 51252687 738694253 790453507 1000000000000000000 703609037 564484368 438619375 139622936 1000000000000000000 619395039 545060134 545268847 113910318 1000000000000000000 998086432 867036495 22830248 476030955 1000000000000000000 959041380 450847982 892762547 325262300 1000000000000000000 447579068 356687784 101598592 366896696 1000000000000000000 736917667 653869307 102263112 665879967 1000000000000000000 876043025 270821061 786096426 772928469 1000000000000000000 256752216 23807779 43376226 15607095 1000000000000000000 973568194 582512055 521380395 309827725 1000000000000000000 403517385 157720013 132404999 278340297 1000000000000000000 878884448 9983235 847634429 156049982 1000000000000000000 807144282 601571654 110896607 400894538 1000000000000000000 568273310 82964645 423740146 231490143 1000000000000000000 903087994 101413598 506893066 346990336 1000000000000000000 23164792 18212239 2828849 18064598 1000000000000000000 620215474 236439687 180260313 475235743 1000000000000000000 878514798 429390277 428759662 45074593 1000000000000000000 835874498 569158359 799108824 432644942 1000000000000000000 223654477 28888237 215580751 81973244 1000000000000000000 926940843 277118032 721969675 320209926 1000000000000000000 51823152 36889889 30754590 17174513 1000000000000000000 706309393 670739679 592233827 170619772 1000000000000000000 22320530 21495366 17414819 17422482 1000000000000000000 951839877 281704951 520990304 653674238 1000000000000000000 19919414 17716465 17304035 316015 1000000000000000000 906941199 9619620 312256430 510784096 1000000000000000000 290468353 178344533 16869576 93562276 1000000000000000000 306271031 142332449 194753336 303088896 1000000000000000000 94642212 80819100 75547686 24010322 1000000000000000000 291186208 101154623 166677718 27565208 1000000000000000000 844260288 265174036 590666671 754329033 1000000000000000000 992995765 341427408 284527729 299952260 1000000000000000000 348097559 224421428 148221253 223843536 1000000000000000000 207578220 18509988 6476918 148415815 1000000000000000000 425836968 364856858 244095154 221790098 1000000000000000000 860730037 186880127 767806447 155620490 1000000000000000000 476629723 45564764 17415596 271367187 1000000000000000000 92683979 74102509 62190700 21030488 1000000000000000000 597815447 147149343 515873169 566775815 1000000000000000000 793558118 75912791 746344901 114698801 1000000000000000000 990100462 810550980 342719866 354272854 1000000000000000000 201250436 187378404 142999575 74507380 1000000000000000000 997440756 719002647 195103299 186023650 1000000000000000000 977218701 495239542 43368994 409537405 1000000000000000000 100330778 28871486 1796150 28911602 1000000000000000000 178720908 56353775 74518472 85606847 1000000000000000000 943702500 456322550 22885810 256328936 1000000000000000000 177596536 14449445 123399969 107241066 1000000000000000000 250622461 86052630 143335222 129360684 1000000000000000000 227560813 122759828 65057780 137646840 1000000000000000000 283057397 76787649 167964355 28214180 1000000000000000000 740595304 678349671 4574823 275416843 1000000000000000000 368015650 162682481 119520987 78665115 1000000000000000000 20180311 18002526 16885385 3878898 1000000000000000000 685590851 459853024 624810146 293974569 1000000000000000000 346198969 31310209 185434474 183024144 1000000000000000000 272660298 82848060 71916320 194846530 1000000000000000000 208846532 80989542 25748509 190515129 1000000000000000000 474751774 25129995 245078058 375457771 1000000000000000000 488161731 137824754 249833722 462021962 1000000000000000000 395610871 3589560 31369943 209408601 1000000000000000000 609994252 161321860 99796555 275743955 1000000000000000000 647807354 591987499 431572336 632160161 1000000000000000000 238999334 103401060 14872858 179907647 1000000000000000000 625914116 369091746 605884273 522624245 1000000000000000000 89792836 12653344 82030137 76913764 1000000000000000000 441769839 388642568 88599465 259093809 1000000000000000000 361544441 149784240 16247498 87686167 1000000000000000000 691434231 681732320 495693220 543685297 1000000000000000000 881173337 6522255 328361517 49121088 1000000000000000000 802503345 12320650 584021256 483205397 1000000000000000000 319311459 223407290 278579137 259880362 1000000000000000000 319429432 121403495 63494000 311337462 1000000000000000000 721457343 121516547 74451983 238183698 1000000000000000000 307778062 15921014 170438624 7606936 1000000000000000000 494753844 89829404 114744860 245826294 1000000000000000000 170191523 107887104 155920829 162291770 1000000000000000000 486217066 39267422 66387517 356710046 1000000000000000000 624636701 272351808 584558947 125692495 1000000000000000000 518902925 11526783 123230764 477006952 1000000000000000000 738800784 186816603 244410947 318485571 1000000000000000000 320949027 73737814 285101615 141644501 1000000000000000000 369313993 171032752 123008970 254906589 1000000000000000000 403081190 80178030 169302001 207784681 1000000000000000000 404761033 366751394 108653805 374169426 1000000000000000000 941308801 543477553 757948803 885545520 1000000000000000000 982254296 307354096 882930763 273979639 1000000000000000000 29817388 10494460 13588058 9279953 1000000000000000000 710947062 464542487 55467090 538538596 1000000000000000000 331140031 21249585 40832280 106173151 1000000000000000000 46879873 43252888 13027145 23299990 1000000000000000000 687931056 108808666 25674128 278892496 1000000000000000000 2369690 1479209 581274 2123751 1000000000000000000 21675239 19952373 18550338 17809393 1000000000000000000 769556240 597559274 593303209 167704854 1000000000000000000 158362807 118220766 24431958 76327362 1000000000000000000 558854262 182457854 356774932 541885473 1000000000000000000 6378497 6245711 453254 373150 1000000000000000000 521063647 208594677 447208900 198175376 1000000000000000000 102191078 3507688 57628622 40213712 1000000000000000000 951410532 379688428 543147428 309526023 1000000000000000000 188110913 9619866 84271488 176514193 1000000000000000000 495522664 198165631 129968808 388039284 1000000000000000000 682555880 300922028 677861022 537532693 1000000000000000000 284957280 97439540 163134685 197347339 1000000000000000000 278888745 58663054 249538812 261716939 1000000000000000000 603043710 203371078 323884467 347802694 1000000000000000000 760162807 608354627 414575316 246145898 1000000000000000000 178227060 31931467 75579704 155137145 1000000000000000000 873927947 227609338 801260489 753732982 1000000000000000000 845518477 89337557 781926077 232726909 1000000000000000000 847222880 671623342 333707908 139251558 1000000000000000000 650195164 569253390 625554377 273826529 1000000000000000000 205073517 78515774 48357964 135952074 1000000000000000000 837790689 479257938 96315433 382526168 1000000000000000000 166720197 30488349 54296994 74965227 1000000000000000000 394781704 356836094 356955625 231190406 1000000000000000000 924118318 287070379 525438264 908502791 1000000000000000000 733820911 533882003 551842830 699830748 1000000000000000000 791201549 535983237 757897597 297172810 1000000000000000000 479179378 264735132 243447201 444325401 1000000000000000000 934374504 448908427 387935609 232099598 1000000000000000000 866293808 667675208 473945191 718732527 1000000000000000000 144910912 30066292 131479319 59538452 1000000000000000000 861323882 835964933 253933983 645661990 1000000000000000000 990713322 372646325 966968692 851568621 1000000000000000000 544242480 443960323 16456844 115157162 1000000000000000000 891244596 812225621 75940552 480149102 1000000000000000000 664609565 564960510 557590941 506165933 1000000000000000000 632852098 465683997 373244425 63922089 1000000000000000000 516124922 94719436 5707511 387534875 1000000000000000000 641606993 484182265 6532715 36218619 1000000000000000000 713881340 528237486 387509303 254189650 1000000000000000000 820636493 630242131 184089869 685431064 1000000000000000000 497690946 322023201 379220194 468769492 1000000000000000000 306760707 192420157 56650865 216418065 1000000000000000000 431983204 410475445 107468338 143455844 1000000000000000000 842046195 37756383 383074920 702414490 1000000000000000000 931662326 597379482 350699101 741631138 1000000000000000000 214778898 55622334 36985254 55864887 1000000000000000000 329500557 134222555 42457860 172222453 1000000000000000000 308209791 102875871 259518084 43857488 1000000000000000000 458414388 217316859 26048421 232846780 1000000000000000000 731342428 131286413 472304008 202717394 1000000000000000000 102879433 68148166 77072840 17665918 1000000000000000000 270572729 54446369 114762558 36269580 1000000000000000000 722737517 22674446 650862112 404070798 1000000000000000000 39080495 38993584 807409 24723795 1000000000000000000 185589957 46893930 161296505 183371347 1000000000000000000 975513469 867079882 83133377 422154948 1000000000000000000 783086049 181238030 674910350 650080407 1000000000000000000 618227385 106050582 180960670 204392485 1000000000000000000 702521990 183646865 11050400 599437340 1000000000000000000 966426896 879316270 88690955 223676295 1000000000000000000 865401806 242382088 569976162 123566766 1000000000000000000 663777912 387716802 402388274 397128636 1000000000000000000 476489002 448709062 346253027 435096566 1000000000000000000 49204753 21419074 14874609 28347473 1000000000000000000 778246741 226623065 695784036 265331932 1000000000000000000 167008725 73234803 93254010 82847840 1000000000000000000 651603561 5909255 185342570 630243940 1000000000000000000 138841561 73294208 92560523 89721018 1000000000000000000 134604639 34872833 92333770 57095624 1000000000000000000 66220514 20969086 8539540 14100580 1000000000000000000 413138669 213204003 37812567 31783229 1000000000000000000 910615843 849024890 743713634 351172047 1000000000000000000 50240696 485023 14257860 9093771 1000000000000000000 507159725 455676805 26806392 354757314 1000000000000000000 547029543 202271178 293972909 357062117 1000000000000000000 148280267 126873711 8249448 94244162 1000000000000000000 837728753 754255512 157511378 724831920 1000000000000000000 162688440 150317092 110226552 59350203 1000000000000000000 490847876 222280799 39443944 106752592 1000000000000000000 812095191 265757888 720550063 381869329 1000000000000000000 743397511 3545570 218799154 355012452 1000000000000000000 88121267 85045935 73435735 37786493 1000000000000000000 602413715 573781722 339845123 203268550 1000000000000000000 35769352 1702530 12539909 20633299 1000000000000000000 22058678 17403003 7438771 21037799 1000000000000000000 501386176 70023195 399070144 249465590 1000000000000000000 625979878 611942702 216530639 164116425 1000000000000000000 23747812 14684713 20379261 15985491 1000000000000000000 560491477 345686499 371970337 522696676 1000000000000000000 471124154 166888227 152103307 226445663 1000000000000000000 795248778 285769738 594662992 370263459 1000000000000000000 506202585 81411071 396635859 287468912 1000000000000000000 810888234 200557138 751481269 525309386 1000000000000000000 760652341 76033621 33447709 708098082 1000000000000000000 518751668 71310024 202785895 79547421 1000000000000000000 833808118 95389485 381632365 230159097 1000000000000000000 265628943 45425724 118664880 84814019 1000000000000000000 249650462 112458022 216393471 153574166 1000000000000000000 97270957 79848900 2704253 87296891 1000000000000000000 869545031 393351869 860750678 324366596 1000000000000000000 64693056 8017455 35411182 6870817 1000000000000000000 513412739 112912988 441157800 137979622 1000000000000000000 671313904 263252800 500234985 330227374 1000000000000000000 758344988 401701721 636335186 313863914 1000000000000000000 541723564 526509609 256195688 346615493 1000000000000000000 902518595 522659888 240261667 756156431 1000000000000000000 343548356 186038048 255362685 257294182 1000000000000000000 957560239 761351472 327571229 715493093 1000000000000000000 355058678 134126197 329358179 260278430 1000000000000000000 419487098 325897292 200090167 119099703 1000000000000000000 255648681 214952741 235303686 130291216 1000000000000000000 994703956 495049179 53631829 735745232 1000000000000000000 933710939 838448076 684420185 60850379 1000000000000000000 61445289 3881837 7512655 7519401 1000000000000000000 801451484 27242708 747550392 628290374 1000000000000000000 7998725 5983472 4337625 5939552 1000000000000000000 273870384 148920750 273504460 101473658 1000000000000000000 844682162 666891724 836366370 689001508 1000000000000000000 60189980 26394704 884148 59269747 1000000000000000000 941997346 208508487 675129468 405086725 1000000000000000000 632862362 477614301 367191348 604433001 1000000000000000000 726310076 392907510 498908669 588214386 1000000000000000000 206973057 175598448 38044620 134499790 1000000000000000000 219145751 111800971 77913806 145988042 1000000000000000000 128091760 11537367 24220913 12418266 1000000000000000000 710245144 568023298 146332749 270174271 1000000000000000000 724148220 41904810 88787505 22705518 1000000000000000000 966398881 232983798 506231438 734965237 1000000000000000000 198193651 162750113 81164043 194688396 1000000000000000000 775551241 148874335 637193220 423355193 1000000000000000000 383286519 315780312 35572991 217548720 1000000000000000000 322157393 56305781 225419943 148015449 1000000000000000000 656578921 93774611 216875014 599579695 1000000000000000000 726203904 393601572 638133309 207067333 1000000000000000000 304327180 58929398 59186464 299225313 1000000000000000000 403158689 126316753 281251104 318217273 1000000000000000000 412238377 145660794 353097900 288184978 1000000000000000000 450383085 145840884 390753299 401187171 1000000000000000000 914886435 374159523 752849545 636061581 1000000000000000000 507984472 155495808 421939919 283436691 1000000000000000000 151809595 150123327 142610077 124120442 1000000000000000000 800493138 74535814 670029938 463710520 1000000000000000000 58924532 9828882 16563595 26812222 1000000000000000000 125143600 32445911 78453915 82873405 1000000000000000000 183064900 133686811 37479532 69572416 1000000000000000000 553339458 392697132 172814843 121039145 1000000000000000000 187148147 97618159 168140314 133717889 1000000000000000000 724806447 101356343 366626719 544937920 1000000000000000000 335434056 310926796 4566360 329219187 1000000000000000000 935390648 427634073 705223856 264646623 1000000000000000000 128707867 51240355 80968768 40342722 1000000000000000000 331541069 163757677 253652416 232611200 1000000000000000000 883276480 251407347 791833314 387026061 1000000000000000000 461162893 114720278 390184929 209291481 1000000000000000000 285678004 76495771 61362541 123374465 1000000000000000000 505040358 199692442 13100375 67872362 1000000000000000000 375841855 156756252 31215940 265924326 1000000000000000000 71021424 64707908 37819516 248555 1000000000000000000 151881774 116884773 103300007 21382828 1000000000000000000 943218643 153381697 865397243 560210918 1000000000000000000 497407621 99771623 51916365 428541375 1000000000000000000 251888655 82982407 219246487 17557098 1000000000000000000 773712938 14072773 139423604 150839846 1000000000000000000 626656142 69198652 458751867 584364329 1000000000000000000 987220579 293666960 562684858 126123457 1000000000000000000 697762347 314470770 248769804 418031772 1000000000000000000 99118555 14989519 64994547 83541752 1000000000000000000 872952772 857286729 617897321 439544805 1000000000000000000 852514453 127162374 360477666 397727938 1000000000000000000 19389552 9326727 8847816 4411105 1000000000000000000 437615999 431939807 211844000 236435963 1000000000000000000 429137824 300556337 131824359 52154930 1000000000000000000 344662232 111071518 139775154 135915422 1000000000000000000 946827595 702392703 381676381 447943555 1000000000000000000 394158333 333983585 261103597 203994826 1000000000000000000 787215045 267376550 375834786 410141165 1000000000000000000 68928769 27314036 13380235 870789 1000000000000000000 48345973 19909118 35708667 5476829 1000000000000000000 237456754 147668454 166713501 103519188 1000000000000000000 790898625 259054586 10040594 297558106 1000000000000000000 875616936 857451213 347838416 18042968 1000000000000000000 76639503 9776059 57357822 47209388 1000000000000000000 750646123 739057112 242401107 356778533 1000000000000000000 830105021 105042461 591646658 208499133 1000000000000000000 192523419 121138580 171857182 97296427 1000000000000000000 555741213 107102081 378382017 259310162 1000000000000000000 455883842 117816324 314038830 432958241 1000000000000000000 742650459 57787929 586228389 720877954 1000000000000000000 296785794 150236358 269710261 57308418 1000000000000000000 99513200 18222578 80980695 44327394 1000000000000000000 147371974 71965931 141730213 46915553 1000000000000000000 222152391 52968992 15661202 160168646 1000000000000000000 560630114 258102989 536900666 33422031 1000000000000000000 950667739 797785746 191652365 333725252 1000000000000000000 631820266 34156843 394680666 68109400 1000000000000000000 221311217 202585171 148981952 5918316 1000000000000000000 344311854 239557259 148084533 298233303 1000000000000000000 339486961 31661475 149344210 79396135 1000000000000000000 344760888 140858872 127934557 291177045 1000000000000000000 995185536 870681592 612011798 206239333 1000000000000000000 948532581 609610817 434539862 340918984 1000000000000000000 94297644 33093957 82289683 75902200 1000000000000000000 919467012 161988211 393852353 166908268 1000000000000000000 340520981 5440348 279633327 35693039 1000000000000000000 292197845 236436940 5178543 197074970 1000000000000000000 204366805 51155060 38768876 3310600 1000000000000000000 125885750 124517675 88498849 95701729 1000000000000000000 855839130 832912581 719653812 401029833 1000000000000000000 204337159 37117018 168057102 91703236 1000000000000000000 945441808 318574377 475459847 531400315 1000000000000000000 679145050 596069448 372051918 533917206 1000000000000000000 721846158 99585343 348303351 473107811 1000000000000000000 140448528 70696251 25238411 130620610 1000000000000000000 123360374 104032021 102374921 41082216 1000000000000000000 616202929 281606620 23193027 193509683 1000000000000000000 868289347 834949396 816115618 82977102 1000000000000000000 679497516 31832539 332709398 439302064 1000000000000000000 554112920 213166005 269063884 60601489 1000000000000000000 353072074 5049315 308979643 175778544 1000000000000000000 127475106 4528894 11285909 98454237 1000000000000000000 688913799 154523347 39307548 175224021 1000000000000000000 41039354 15974838 2920555 18146376 1000000000000000000 568203830 277689381 7570231 508522940 1000000000000000000 762336092 137136214 733216819 538734563 1000000000000000000 63619574 15866082 52462971 17402324 1000000000000000000 852444608 176280100 430361986 379178871 1000000000000000000 894922424 413658447 848969112 32860056 1000000000000000000 665388424 134899602 224335481 190143936 1000000000000000000 345627514 78900035 147796438 128362596 1000000000000000000 361661727 61559097 132914288 352554547 1000000000000000000 938428550 541206494 527023322 445233420 1000000000000000000 332106651 106533677 280146084 126636336 1000000000000000000 11740547 8326898 8353853 557175 1000000000000000000 854138153 354066401 732521833 742672411 1000000000000000000 904359883 191685876 485834276 887178386 1000000000000000000 962401190 244189511 702589043 646772767 1000000000000000000 686422821 483200757 559994508 246554225 1000000000000000000 979233432 881244977 561583942 633073432 1000000000000000000 509021336 508159745 250425043 445958680 1000000000000000000 197841943 30796209 4927877 191115949 1000000000000000000 413511753 238946887 103640387 354845202 1000000000000000000 226121176 179247276 51833506 52052463 1000000000000000000 639843826 637052079 356894232 323657699 1000000000000000000 612167200 377275535 95574822 127334740 1000000000000000000 814449003 448624505 86111274 803404280 1000000000000000000 685731377 231378441 410546879 682229716 1000000000000000000 2545495 1038838 2327515 977940 1000000000000000000 540026081 121853976 497603836 132224291 1000000000000000000 27166029 7400809 9588369 15974803 1000000000000000000 568583206 386572848 230928916 436375941 1000000000000000000 667389766 659477902 639714607 350428931 1000000000000000000 907893928 568924499 753121259 406684373 1000000000000000000 87018254 82826770 32803958 5835384 1000000000000000000 977657275 200062548 577279435 842433843 1000000000000000000 69965630 33388880 10225540 22926128 1000000000000000000 959385600 915608136 666481423 615542457 1000000000000000000 669813692 476566597 456216970 467495766 1000000000000000000 431209011 147237512 105244705 40526349 1000000000000000000 986032603 31650367 131025196 410431849 1000000000000000000 338232761 337625363 75889301 327834301 1000000000000000000 257564068 103081596 116449474 64364873 1000000000000000000 470949040 177835064 447096166 15680976 1000000000000000000 490298783 186106732 201123269 244201547 1000000000000000000 65659061 26549583 51342141 30428175 1000000000000000000 147116254 131957202 39840167 100625809 1000000000000000000 545328175 316033611 73494504 454028515 1000000000000000000 941292593 410526754 841616783 133457474 1000000000000000000 193960117 115093790 88810638 87532966 1000000000000000000 456996715 219130672 54390785 49156581 1000000000000000000 442829183 56479736 248805357 13321737 1000000000000000000 640121544 382134069 443297203 199899740 1000000000000000000 625875191 74661333 402660999 572345688 1000000000000000000 63778847 22930803 23776639 60561960 1000000000000000000 352674171 7598654 233671217 4150223 1000000000000000000 159833656 24876855 88734712 128751731 1000000000000000000 996655563 182854288 457529508 891951490 1000000000000000000 274398894 113876781 121295556 57483248 1000000000000000000 3882263 3191672 3547188 3187063 1000000000000000000 530237110 180741578 424652564 491249977 1000000000000000000 708547861 289798191 185453140 220208044 1000000000000000000 963355012 905602995 578598186 502012079 1000000000000000000 43548991 11386020 25676502 1784823 1000000000000000000 714258029 342887301 177878239 466594188 1000000000000000000 660808306 250535779 394440743 159876394 1000000000000000000 450102277 217720549 168495408 407173913 1000000000000000000 136506925 76829194 10240732 92951450 1000000000000000000 258297280 141176494 182587774 160126965 1000000000000000000 530298555 191842586 467570225 274525833 1000000000000000000 494969168 404857146 341670837 424131183 1000000000000000000 519960109 61725719 71749062 12253757 1000000000000000000 607240560 45768835 522156941 314916436 1000000000000000000 855283189 761301554 577984390 514786515 1000000000000000000 45466759 9603972 17492430 45139549 1000000000000000000 172896383 100780717 3478775 126698321 1000000000000000000 177452729 47030190 75635344 170067382 1000000000000000000 509265727 211705434 271292152 129511374 1000000000000000000 311989449 212745563 152307275 305189796 1000000000000000000 145506190 5256153 13181823 5659474 1000000000000000000 115453566 13957010 19123055 51489001 1000000000000000000 509982488 47024780 458682935 272539123 1000000000000000000 558660158 376628819 246591252 253583989 1000000000000000000 573032404 31436569 19539216 355659207 1000000000000000000 342286625 37517609 79882985 270466578 1000000000000000000 649528532 175708835 299883903 178111229 1000000000000000000 28619109 17847882 17189710 26139549 1000000000000000000 647251308 543871369 300680622 240441172 1000000000000000000 118144415 71745214 108643839 104035700 1000000000000000000 399117712 304499559 236830988 130145319 1000000000000000000 769208291 6569867 240186039 364558972 1000000000000000000 520204894 371812440 450417414 110454161 1000000000000000000 719401513 364422315 178745758 141270367 1000000000000000000 513927317 348664073 424917414 209684639 1000000000000000000 918635036 465008103 154458484 227394743 1000000000000000000 636153461 403794937 469570100 73694955 1000000000000000000 586420354 31718659 36339925 217800923 1000000000000000000 918526211 483991479 617673227 291748509 1000000000000000000 142053602 71571895 42841741 95664794 1000000000000000000 991532168 8861450 52819652 238557881 1000000000000000000 587168962 435697426 409245662 215336122 1000000000000000000 591602231 516486667 297753199 460724082 1000000000000000000 546749980 488836859 185479812 170762348 1000000000000000000 245935374 96319326 56370995 109681299 1000000000000000000 559843419 484480900 221317483 70346568 1000000000000000000 790729454 91959301 278570304 74416142 1000000000000000000 106483125 70846429 36524146 103616196 1000000000000000000 264396951 263969860 122093803 71696113 1000000000000000000 835400039 828598222 194032539 674754110 1000000000000000000 84256138 74487149 35345814 57410955 1000000000000000000 3450309 2813308 1486349 2921565 1000000000000000000 133335871 122929046 126617245 120139812 1000000000000000000 770878488 86200148 634893167 574911976 1000000000000000000 347348000 42986713 248857323 222961534 1000000000000000000 984611616 244489344 385411955 688091451 1000000000000000000 638163974 163020273 550484669 279316675 1000000000000000000 141587135 117745572 1885409 40902731 1000000000000000000 249380740 108187450 54734930 137102038 1000000000000000000 724617823 285745078 348625248 307894206 1000000000000000000 852275250 53957785 174962884 179523846 1000000000000000000 536651961 3924540 350666685 152575304 1000000000000000000 549192207 399076204 300579129 298437440 1000000000000000000 64425811 34456831 54806070 1738527 1000000000000000000 233142274 144567097 218246910 142687215 1000000000000000000 138591222 54151251 10602674 2160447 1000000000000000000 95733878 65195257 43046401 4253595 1000000000000000000 381812216 165100646 228431250 13804598 1000000000000000000 765023064 506233307 162589647 396844422 1000000000000000000 417909048 358802822 127814781 65102342 1000000000000000000 717499202 394863929 331679195 237702417 1000000000000000000 890446962 91018950 308494168 290811136 1000000000000000000 185332936 47342396 18482228 41559517 1000000000000000000 874915242 297781517 643646240 253894886 1000000000000000000 696303787 425321879 542004004 416868462 1000000000000000000 501958562 89459384 294127969 269790958 1000000000000000000 132331933 12890374 109495191 92664422 1000000000000000000 666197812 101007196 202256806 415906047 1000000000000000000 664135331 149417967 177952161 209180992 1000000000000000000 638430784 605950202 377313835 63139338 1000000000000000000 968113873 598785630 126051664 208815901 1000000000000000000 589211085 180716808 81889364 582180175 1000000000000000000 380390047 231626787 127566158 76346181 1000000000000000000 926431891 718644129 726948389 578258144 1000000000000000000 681752036 413484668 165031864 657899980 1000000000000000000 594547538 236326607 365698818 226912178 1000000000000000000 640391560 187793442 534282363 88969644 1000000000000000000 711933028 479582904 670052821 45716663 1000000000000000000 736594912 627423249 345412099 128405510 1000000000000000000 32620374 21401284 21835670 28008818 1000000000000000000 950900193 189378402 466946370 165667821 1000000000000000000 682073359 480450268 225571828 291308201 1000000000000000000 159963679 55087915 157912987 39548019 1000000000000000000 275981455 248167999 139683521 168911713 1000000000000000000 989908421 62902073 637181763 284381839 1000000000000000000 756532017 37072217 512138157 626781191 1000000000000000000 7234614 1082484 6275926 6886964 1000000000000000000 21475638 1378416 18800523 13401754 1000000000000000000 616607268 100295068 368171968 70651829 1000000000000000000 60471292 38553602 24430881 26155606 1000000000000000000 360745178 347509803 248151885 2576387 1000000000000000000 276374513 261756072 138576516 81113890 1000000000000000000 893289723 241131774 815882344 213456465 1000000000000000000 142035134 25416518 14698512 42251296 1000000000000000000 878706874 465766066 353191045 249476855 1000000000000000000 987396291 815928308 482750932 722746869 1000000000000000000 599446706 252375331 296092085 75055797 1000000000000000000 550240091 429672558 341308048 116435769 1000000000000000000 647043561 69234432 216798522 46244480 1000000000000000000 943639710 878509616 513597844 592476491 1000000000000000000 695798319 89828141 661827088 93238540 1000000000000000000 680995048 629795550 137158357 113048017 1000000000000000000 581236546 391978708 197698375 390220171 1000000000000000000 517352045 162490900 138087797 488090638 1000000000000000000 726465942 506298309 590097731 108123427 1000000000000000000 597021488 575640542 265018177 159725135 1000000000000000000 146173903 58663195 15115358 71085318 1000000000000000000 278518466 30946490 90931089 177803925 1000000000000000000 465412247 227742814 407131137 380279371 1000000000000000000 996557102 846067515 207856896 22946757 1000000000000000000 962171466 878409249 37590442 18818402 1000000000000000000 580231732 74637255 553888710 255859633 1000000000000000000 234510282 182806927 136978821 115979562 1000000000000000000 34912442 14337876 12121851 26157229 1000000000000000000 575247705 326908204 231375920 46102188 1000000000000000000 814440539 412903241 105561562 756877172 1000000000000000000 686947274 31276006 416986655 662741552 1000000000000000000 819974410 469133729 656073837 755098368 1000000000000000000 558040562 547864853 401663390 108285783 1000000000000000000 728300797 727203007 438288866 264931830 1000000000000000000 889142358 170887206 679176074 622211425 1000000000000000000 52350100 13042922 12217287 34456181 1000000000000000000 603603692 128980002 30258676 401568641 1000000000000000000 735395723 423365747 263216160 367632934 1000000000000000000 98195219 68914163 76556083 10140444 1000000000000000000 43422805 33435115 31514557 19159756 1000000000000000000 322959834 319398590 94226052 297788352 1000000000000000000 131263169 54379378 88731343 131159786 1000000000000000000 537999324 230134302 129558958 513621388 1000000000000000000 224410034 69031141 68285739 19695689 1000000000000000000 261482408 211687795 53199480 132046592 1000000000000000000 924727222 250222050 96125156 16052159 1000000000000000000 281586149 142634695 233794132 97298030 1000000000000000000 92155427 18189264 73253395 46142112 1000000000000000000 572954610 175979971 227243829 406080232 1000000000000000000 946652207 685635583 464914268 849311192 1000000000000000000 873482266 625052535 703720993 83442777 1000000000000000000 444181974 426808288 205597361 358073283 1000000000000000000 419996123 53559416 103419797 415933054 1000000000000000000 461104864 149088899 50115871 346514174 1000000000000000000 704508400 76225639 321799063 643366277 1000000000000000000 427841685 301709989 94247540 406581653 1000000000000000000 961446841 590613106 100720060 264553746 1000000000000000000 130384761 111437014 104250110 21377114 1000000000000000000 231492708 21965964 225327897 59472417 1000000000000000000 321494818 61502041 256791902 159186155 1000000000000000000 763723532 35521391 579441933 71780421 1000000000000000000 916101804 121667221 828375912 599744980 1000000000000000000 944543995 70986179 68136166 811440394 1000000000000000000 829936239 801839063 635163431 588279498 1000000000000000000 996626840 261910762 686549017 150081175 1000000000000000000 325627231 312250323 234205182 62393036 1000000000000000000 725430818 520650670 268944089 579150825 1000000000000000000 42832886 36652396 27978111 21109631 1000000000000000000 361465266 188830610 338363023 97998878 1000000000000000000 681234281 563399229 559317776 422717894 1000000000000000000 443467 355690 327252 195533 1000000000000000000 731786509 702451378 282194880 46114176 1000000000000000000 799382133 294767116 125753237 794450977 1000000000000000000 306922849 131816825 50661838 49235828 1000000000000000000 614801389 280594429 288043323 113316668 1000000000000000000 841520410 476159102 36434064 254361360 1000000000000000000 567379106 33210600 541720202 211139650 1000000000000000000 493293504 47320572 49349583 311296451 1000000000000000000 545921133 37633681 408398180 80446252 1000000000000000000 770954450 437745722 172338304 268005115 1000000000000000000 18096843 11495276 1018833 4142178 1000000000000000000 415353725 155799766 219489584 144287916 1000000000000000000 938361046 812519368 629523612 557020167 1000000000000000000 887899660 230512774 117567881 167479650 1000000000000000000 53934250 15933983 50975803 51216126 1000000000000000000 141188934 12841364 31237616 105268841 1000000000000000000 303594678 76132354 120731279 100320374 1000000000000000000 579028090 456392453 568201527 340497295 1000000000000000000 26907810 14986833 26143124 2005564 1000000000000000000 165652208 73578574 121734862 66003068 1000000000000000000 475099825 64841625 64494791 156580148 1000000000000000000 254417062 29953068 96276649 57429040 1000000000000000000 522241585 68948115 458359370 102349070 1000000000000000000 413983333 378481722 68936502 92641025 1000000000000000000 1372106 1263701 547539 1277166 1000000000000000000 579024613 363461145 124645858 424369435 1000000000000000000 304404736 35784239 105493843 34407038 1000000000000000000 941821000 124617691 598385281 892160255 1000000000000000000 960634614 801487022 164838959 588825353 1000000000000000000 111704358 38276074 88800835 89237153 1000000000000000000 830040924 776031417 36822406 435984095 1000000000000000000 367408769 49162613 84617888 76727875 1000000000000000000 928701538 134094764 669977160 201143430 1000000000000000000 809711132 703981045 60475028 233649461 1000000000000000000 402429108 362336792 244028517 128527708 1000000000000000000 759801227 109215224 319822134 539524208 1000000000000000000 644813707 526106260 359926816 263517201 1000000000000000000 139941379 23976081 113670098 38167472 1000000000000000000 159982663 30300918 29717539 62654736 1000000000000000000 102968210 89727684 18783089 84078893 1000000000000000000 374483050 78511658 264408653 96505264 1000000000000000000 512876706 437563706 213369541 153152884 1000000000000000000 554231541 508204839 503602102 221394011 1000000000000000000 553766151 403277955 331715239 311310926 1000000000000000000 555996232 132046548 526682384 504738253 1000000000000000000 592953983 253057076 540196 100131173 1000000000000000000 113105779 9341341 88207374 63908062 1000000000000000000 420204432 78958961 156885485 186327548 1000000000000000000 157303953 28653619 60118504 134216172 1000000000000000000 163536814 158875044 14675270 114531093 1000000000000000000 925600244 420587121 638364368 84989649 1000000000000000000 148920312 58377358 140910426 60058595 1000000000000000000 969573106 423676549 811580792 821103057 1000000000000000000 167528214 156472967 89384833 17429924 1000000000000000000 308317377 213848235 222207840 145745711 1000000000000000000 426868150 183871776 215915405 84778294 1000000000000000000 319561338 94171633 21020204 190069834 1000000000000000000 224436819 114979916 154834688 223072792 1000000000000000000 133934778 45451572 24139305 32465021 1000000000000000000 458709648 288974768 45737914 302335019 1000000000000000000 79870855 75004922 41342870 54581712 1000000000000000000 553280481 492048161 8997494 205216934 1000000000000000000 422035324 353386593 54672998 405100636 1000000000000000000 414694757 147484528 204936902 196411955 1000000000000000000 793927945 775995442 236403236 206172331 1000000000000000000 399764269 376671107 384492064 88562195 1000000000000000000 238916447 175860801 118130690 124524814 1000000000000000000 329884782 184342921 43569401 82581702 1000000000000000000 119869904 113877538 34046051 15645537 1000000000000000000 780951245 223759045 117950910 681058975 1000000000000000000 694336831 310351445 686253940 352612771 1000000000000000000 896522963 290804661 272697875 735260936 1000000000000000000 242834669 4804530 37091427 188833224 1000000000000000000 425863607 36186409 257099564 95618427 1000000000000000000 617812091 450487554 503663852 201618083 1000000000000000000 553153565 234252428 432977826 116546358 1000000000000000000 553285531 166955001 369533538 438061888 1000000000000000000 547065362 35539109 163343056 203512269 1000000000000000000 380472844 261756188 163267854 269253168 1000000000000000000 603858012 222212798 550426447 74754257 1000000000000000000 786199161 233164994 591463787 88504372 1000000000000000000 661852377 137791331 263591309 574598054 1000000000000000000 263749545 253366551 40463453 73226207 1000000000000000000 872930462 176631096 213271988 759925652 1000000000000000000 480863075 31644166 299070787 440327946 1000000000000000000 527716533 175458960 363513578 241702254 1000000000000000000 493901200 31757590 3805568 356369849 1000000000000000000 792943118 481179668 165999547 381359008 1000000000000000000 18336533 1961591 2237856 17090772 1000000000000000000 730728601 288668590 256368622 706514396 1000000000000000000 183743903 80483820 96878298 9076437 1000000000000000000 247615763 115853345 146026074 6891581 1000000000000000000 645901306 473197023 172855388 593128148 1000000000000000000 936932218 174079224 377938277 722400408 1000000000000000000 860373371 86178926 479420439 452195549 1000000000000000000 563304482 424589657 392322577 435836961 1000000000000000000 679307238 282863210 472796206 31707047 1000000000000000000 560511000 323125342 207600841 146747489 1000000000000000000 638890254 104305144 275984403 486082773 1000000000000000000 397146212 379292995 362370105 364538396 1000000000000000000 378348887 161493475 368966725 159013611 1000000000000000000 786622718 30468993 162028558 480631050 1000000000000000000 774429377 230248949 396623817 382396368 1000000000000000000 489051905 305115650 62444425 434488050 1000000000000000000 387796225 291547477 14841584 171255169 1000000000000000000 242904813 182135989 23472879 3507252 1000000000000000000 485374583 76968463 202978957 36886584 1000000000000000000 618699593 241293168 312331401 499716966 1000000000000000000 394444039 159040038 290931619 207993396 1000000000000000000 885273360 823891347 569965538 684148639 1000000000000000000 231547377 122124733 123657747 123918406 1000000000000000000 219753348 137003704 98696156 203658609 1000000000000000000 917578512 726517762 188885215 797669207 1000000000000000000 243375473 76245204 13094301 135661728 1000000000000000000 495255359 240487840 198160930 74731737 1000000000000000000 308230857 185565396 81032920 130799781 1000000000000000000 771072868 770022997 605673903 344111949 1000000000000000000 681139804 93454973 328847095 496692857 1000000000000000000 209082418 126324105 113976866 2090924 1000000000000000000 985701700 337781266 945831494 138773108 1000000000000000000 459704869 318218439 90019908 299480378 1000000000000000000 958158762 167239234 583496707 490207137 1000000000000000000 233573684 63670282 141990510 87633518 1000000000000000000 548421513 363082912 165183434 68743849 1000000000000000000 305081768 89152945 98296025 78430744 1000000000000000000 949087804 549506906 441817485 706888415 1000000000000000000 84973605 6995130 11985777 27196338 1000000000000000000 113953123 71434759 88035166 56976484 1000000000000000000 738528662 354823058 723932642 173479080 1000000000000000000 243614275 225896708 8641400 139406048 1000000000000000000 654037051 640089008 588129224 444152623 1000000000000000000 918494683 595186362 254535637 777446863 1000000000000000000 416176262 384638028 410744040 113335643 1000000000000000000 240608245 189509721 55160606 224928807 1000000000000000000 552256067 508287408 10818927 149661199 1000000000000000000 239365505 157317889 33256995 199031892 1000000000000000000 9186097 6607556 3612519 8150459 1000000000000000000 870775220 342435718 175932278 159493468 1000000000000000000 900422649 310783640 896383892 763377811 1000000000000000000 245148580 231749143 138091540 130939481 1000000000000000000 223903865 121113655 189547904 115014584 1000000000000000000 126082262 107029101 79424486 22517627 1000000000000000000 699162208 180231971 555019524 500954163 1000000000000000000 446782653 27859407 375374221 280116418 1000000000000000000 748374567 51322281 7615910 269720014 1000000000000000000 866530 186561 692194 511333 1000000000000000000 798098765 314714600 109420756 61039746 1000000000000000000 147666127 46344115 69879114 62498771 1000000000000000000 32097135 12660859 6001146 23754480 1000000000000000000 120371777 68867965 18058383 17217953 1000000000000000000 594157142 566759157 517844329 507873788 1000000000000000000 119893344 62730848 37776196 49615978 1000000000000000000 703966244 54348819 27902249 216065602 1000000000000000000 670116530 109040277 178275564 224620129 1000000000000000000 228477568 116779787 90774468 163524737 1000000000000000000 662814600 375323974 604916285 570137360 1000000000000000000 564593249 191378491 312377251 56057600 1000000000000000000 473082619 239961494 100882744 307147515 1000000000000000000 556844881 548576165 53756005 533285214 1000000000000000000 168251731 143345142 39464397 115243189 1000000000000000000 182409401 125569165 103568606 52601291 1000000000000000000 493030234 152762155 127473413 71438727 1000000000000000000 849993714 701303422 266503565 183561335 1000000000000000000 35334546 20161570 11234359 26598564 1000000000000000000 546412051 219635635 269133881 192324309 1000000000000000000 251189762 185887117 240257270 250193165 1000000000000000000 243854777 121457586 181860941 192907407 1000000000000000000 666005333 268309826 387107596 77002989 1000000000000000000 874834176 771645031 294733997 186053962 1000000000000000000 685002263 252490129 65928480 661219868 1000000000000000000 229723181 106434844 16133698 178823454 1000000000000000000 958788533 737305461 728994567 955107665 1000000000000000000 294003641 93103179 276609949 186412387 1000000000000000000 972265735 203302815 766330192 33474830 1000000000000000000 686043151 25783552 261886364 632973675 1000000000000000000 824406754 140502540 160157515 424736137 1000000000000000000 170468414 161159666 82900073 95518870 1000000000000000000 932821591 472721032 556712832 414094313 1000000000000000000 861770181 196096248 680187378 40460736 1000000000000000000 261887711 148862537 122953739 150773952 1000000000000000000 783900679 172496518 761348000 403670976 1000000000000000000 457648667 267705679 110920292 236436840 1000000000000000000 239216504 38097538 169352255 40550970 1000000000000000000 379212987 288027923 117225293 290356947 1000000000000000000 976055042 432681070 212836716 58887888 1000000000000000000 13907441 4286588 4563597 1287176 1000000000000000000 393918967 204907519 339124752 8180942 1000000000000000000 73633718 22166507 41029105 32393036 1000000000000000000 232030243 185762945 111789529 51395769 1000000000000000000 214342017 90665787 42514010 4436219 1000000000000000000 586823912 253033663 423534957 478613985 1000000000000000000 1822390 478462 560875 1534993 1000000000000000000 214123479 93221422 162416975 150922523 1000000000000000000 343286868 288140621 98209971 88759543 1000000000000000000 965300539 853109645 35808997 561663357 1000000000000000000 309710906 48078200 109467617 293333246 1000000000000000000 11056778 3447019 8822029 7507093 1000000000000000000 209295758 81633106 145093507 194738859 1000000000000000000 498173287 380270935 204779644 284355083 1000000000000000000 722885235 39620482 333163714 32976360 1000000000000000000 789468992 336505279 513950092 450622495 1000000000000000000 313046469 101422504 71919148 93044762 1000000000000000000 500256567 474468106 93974849 331243540 1000000000000000000 341024616 17132129 312182097 23307370 1000000000000000000 693594718 343070139 407947787 21592159 1000000000000000000 2522792 595317 997434 425364 1000000000000000000 752236917 708784854 680458647 702614132 1000000000000000000 506424774 304423679 257644424 415636098 1000000000000000000 176507703 1995818 4112349 86585576 1000000000000000000 449309691 193744984 195305146 154748641 1000000000000000000 62891210 26642419 7818960 35311034 1000000000000000000 478287045 200247414 209635422 137079366 1000000000000000000 819944107 786509185 726592911 318286328 1000000000000000000 570968123 100026908 400356777 50967361 1000000000000000000 920180219 287833249 301007340 23172644 1000000000000000000 16301070 1514814 5924715 10314625 1000000000000000000 470592170 19850322 141301029 242173973 1000000000000000000 612277943 324255079 163590809 351395388 1000000000000000000 880280227 99827167 861695365 20492895 1000000000000000000 247375240 93762155 174245642 18184405 1000000000000000000 487599196 76311566 28813324 90951410 1000000000000000000 586985238 216047383 59149042 462610984 1000000000000000000 692544298 460484174 98483684 683004590 1000000000000000000 728133307 268823803 225234311 242716131 1000000000000000000 540988506 368427441 216237252 322416767 1000000000000000000 745583524 117034556 531846632 663230541 1000000000000000000 842382782 181182486 88991078 724866558 1000000000000000000 529361664 182004554 202714477 342412749 1000000000000000000 434016490 246995384 60071390 288707804 1000000000000000000 211943421 85989601 78272428 122473663 1000000000000000000 28201487 3276397 6832302 4941231 1000000000000000000 988289922 270124067 599178685 693281736 1000000000000000000 28356601 22117664 21753914 5112269 1000000000000000000 556153599 435756815 533308435 290623287 1000000000000000000 90872643 49185685 71390866 69463521 1000000000000000000 414871054 330877 376693572 5918116 1000000000000000000 697582831 78133141 494920281 81201100 1000000000000000000 450410966 290123089 296429504 240513911 1000000000000000000 755372718 113983119 191482934 125815542 1000000000000000000 573565554 239185468 197609602 26958649 1000000000000000000 16202353 15837731 11739157 3269115 1000000000000000000 340971980 277591396 183352440 147447524 1000000000000000000 150921200 86601317 42284347 102080283 1000000000000000000 977684210 564570188 682094437 699011449 1000000000000000000 459251504 64930074 143265885 296918641 1000000000000000000 766334306 670400342 290520083 267984680 1000000000000000000 327402785 242660521 96033764 50879190 1000000000000000000 491415115 477038173 469913135 250398773 1000000000000000000 431734922 198773770 338813930 357482739 1000000000000000000 255071348 75758139 130952849 164144694 1000000000000000000 864583973 90165788 552569596 465777371 1000000000000000000 946784634 640073020 285218391 837060077 1000000000000000000 432855505 184493443 89334683 411643351 1000000000000000000 454106347 316780220 70956724 365140926 1000000000000000000 356565596 326223722 327241967 224966004 1000000000000000000 892680774 59877216 179308912 719413283 1000000000000000000 493811141 325783437 219438188 209414209 1000000000000000000 309773853 30792194 79126581 284524170 1000000000000000000 672190954 644064298 9742301 320775830 1000000000000000000 17763578 11244511 9661821 3360034 1000000000000000000 31972826 9399575 24380316 12350759 1000000000000000000 72435377 50937623 59767364 43211138 1000000000000000000 57987021 6809205 15821615 25374552 1000000000000000000 885941776 477628397 197198210 695233585 1000000000000000000 849087333 322122273 580204470 96491170 1000000000000000000 647371709 416497912 355212047 428326387 1000000000000000000 118782600 78360422 5047053 29271838 1000000000000000000 41639784 11983770 36817411 15968331 1000000000000000000 772877468 396664612 276641802 363970349 1000000000000000000 282494173 255149181 52512375 101940592 1000000000000000000 565891701 286885808 171430174 510807502 1000000000000000000 52813778 26769209 35067671 16727568 1000000000000000000 358569640 314426586 181627427 225757563 1000000000000000000 317561979 193011744 172880349 152119207 1000000000000000000 521253076 7679717 461641784 452200945 1000000000000000000 528771492 433007352 258707361 173317498 1000000000000000000 704408150 695012934 24975206 395645596 1000000000000000000 597888696 222845259 564092180 124119254 1000000000000000000 733755929 333557008 587082528 714545193 1000000000000000000 218660048 202923041 13533829 88962985 1000000000000000000 248948954 217547306 17124697 211923784 1000000000000000000 170621636 96434593 22355373 61155911 1000000000000000000 509295495 81959054 205177 481563099 1000000000000000000 19986395 19481883 505030 15463394 1000000000000000000 114277011 55913714 42711162 90761113 1000000000000000000 621936858 298195917 165005686 10068965 1000000000000000000 33800687 10087261 30427776 1665248 1000000000000000000 306496723 231652 68030548 109461774 1000000000000000000 317607028 5288528 171129728 250299392 1000000000000000000 853102800 654091216 160139705 90871913 1000000000000000000 357119243 112118998 289681704 142679031 1000000000000000000 245938342 140080225 204576520 156975684 1000000000000000000 301791597 29147874 24255443 186137683 1000000000000000000 858899945 436866941 494866998 767211818 1000000000000000000 424356637 103872965 309099128 385967006 1000000000000000000 745524594 120752489 303495562 555383781 1000000000000000000 426804693 287086800 196106870 168695139 1000000000000000000 440549736 363635827 37471198 324354519 1000000000000000000 168165173 78564910 136444420 76209604 1000000000000000000 294055605 144762523 97998695 12858716 1000000000000000000 138803606 81584984 69745068 57217225 1000000000000000000 226163567 218518648 194891432 201591873 1000000000000000000 941752111 764237815 191782938 383073602 1000000000000000000 216624641 156321629 58681619 216144362 1000000000000000000 92738866 3112111 50979399 3789412 1000000000000000000 131538409 129825141 115113258 6309526 1000000000000000000 477477754 116474921 342415874 69985717 1000000000000000000 290620067 274656154 54993467 11408578 1000000000000000000 397856234 112428067 193343406 353206851 1000000000000000000 383944197 74033888 39528313 343456349 1000000000000000000 211448062 170081748 108251950 6021187 1000000000000000000 778560268 219215863 381434916 587527791 1000000000000000000 812499315 160345529 587896924 645181472 1000000000000000000 845884252 786650114 365373909 391704752 1000000000000000000 708553064 319557824 266103859 384296014 1000000000000000000 316386807 199968469 179686005 53792679 1000000000000000000 601411847 397942001 266852856 347391698 1000000000000000000 755748503 256581034 275916204 264174421 1000000000000000000 222236260 10014425 84918088 213759442 1000000000000000000 858852141 718898587 157184445 849511760 1000000000000000000 507765702 272901949 493515856 322073317 1000000000000000000 597699922 158690351 459663188 513651393 1000000000000000000 69939238 66842788 40134770 38971815 1000000000000000000 732433256 662879987 165232562 483024861 1000000000000000000 614704759 380519159 589381525 408328529 1000000000000000000 78407704 11818943 21505212 77669012 1000000000000000000 475194839 278925466 256686185 84871031 1000000000000000000 816060333 410485645 636736006 139468819 1000000000000000000 231567876 65399414 224181572 54819713 1000000000000000000 516306208 134547462 191533080 152501542 1000000000000000000 958249100 325201704 898725874 835505779 1000000000000000000 825123972 339463899 607830213 156836315 1000000000000000000 284837834 255566414 39214841 58724153 1000000000000000000 230029937 34295192 164328935 117862392 1000000000000000000 846970086 561905170 227181576 194428860 1000000000000000000 476955135 80068250 452382945 56976372 1000000000000000000 618671292 534281984 432091491 84258504 1000000000000000000 833536888 448478361 70238731 789047864 1000000000000000000 41318195 19742392 21355067 35094059 1000000000000000000 125271417 47255365 16768669 72537875 1000000000000000000 889977307 547193380 39569449 593665444 1000000000000000000 372410236 210023565 366035483 82742572 1000000000000000000 862220469 336302602 237394948 108119197 1000000000000000000 18078991 12119003 3465752 9960499 1000000000000000000 452926719 225875599 212671351 340574342 1000000000000000000 368550398 147101436 129125852 326523659 1000000000000000000 341937618 111717387 246423033 227063489 1000000000000000000 927066891 832175527 916534752 905844960 1000000000000000000 885157097 52672544 423407786 252583951 1000000000000000000 114408807 32676206 29970134 52032806 1000000000000000000 572081534 562110312 220177323 109842905 1000000000000000000 335685870 53466414 216349794 126847943 1000000000000000000 26870043 20081695 16618158 25219328 1000000000000000000 406724961 170840531 115092927 355638696 1000000000000000000 243603195 70127352 211462284 109662075 1000000000000000000 631553812 438301708 306667696 25269842 1000000000000000000 754850655 166983902 115094341 623995738 1000000000000000000 889543563 464362727 373660354 105491177 1000000000000000000 995543395 853962700 824724859 511429007 1000000000000000000 76910530 52743520 73490629 60956045 1000000000000000000 47677898 23554212 26831813 41759716 1000000000000000000 273553856 205827542 190220573 176416409 1000000000000000000 868476621 572790511 803012012 775432633 1000000000000000000 577411059 364444992 540432534 275001990 1000000000000000000 730215412 610766963 284624483 670988137 1000000000000000000 782464496 620500178 656973779 618565660 1000000000000000000 976783152 501971790 287842279 923138281 1000000000000000000 274413315 241915893 260515092 105157014 1000000000000000000 501865846 1517507 89515931 73406699 1000000000000000000 710144188 60469490 332179998 391808284 1000000000000000000 498186392 179376477 220585328 325502866 1000000000000000000 170047814 44486731 71291225 81147620 1000000000000000000 232338235 209060291 126077429 104161690 1000000000000000000 557743547 557226935 305378638 406713740 1000000000000000000 821594680 369949501 9561962 709887663 1000000000000000000 384237803 202126651 87987677 195700932 1000000000000000000 489784527 22730084 183018383 149512630 1000000000000000000 241228448 175620913 97344440 205408894 1000000000000000000 471966083 142182628 399891668 243084426 1000000000000000000 981339707 744065618 550364649 807304263 1000000000000000000 762660697 253060810 603112297 474170043 1000000000000000000 599006065 379645407 7452106 179653991 1000000000000000000 48013343 22862516 22900401 34850056 1000000000000000000 872569612 386507449 532487931 664793508 1000000000000000000 239925166 43485861 97886700 97467154 1000000000000000000 704517979 404154201 242663297 71575825 1000000000000000000 171375377 144252363 85515810 102333705 1000000000000000000 264476568 15833338 143721266 152124156 1000000000000000000 773175051 206832262 105174471 544551306 1000000000000000000 692341379 189341318 406327582 351524686 1000000000000000000 457123668 109237238 316489723 96726021 1000000000000000000 348627025 16008132 27490308 221879607 1000000000000000000 245071402 37637507 106021196 83570360 1000000000000000000 779153274 479258449 622217725 384435090 1000000000000000000 901553225 328905731 698084859 636314379 1000000000000000000 73763693 57651122 11759230 72797002 1000000000000000000 770160581 87880270 250978946 223589553 1000000000000000000 67894598 57397258 13631361 63951963 1000000000000000000 56864891 27909150 47080111 13411556 1000000000000000000 562224190 471459838 283256488 525280049 1000000000000000000 601833970 461772461 194211111 109808825 1000000000000000000 719239134 515191738 104931985 654503366 1000000000000000000 460887115 421099741 395510043 84449292 1000000000000000000 228291591 177625737 223720444 134647402 1000000000000000000 316362787 74928071 113548413 196508239 1000000000000000000 790096899 378603764 186399347 439922718 1000000000000000000 610116142 326710076 328472489 195762205 1000000000000000000 549299494 347521419 355921439 462244808 1000000000000000000 526606053 208195335 130335427 75165586 1000000000000000000 645410384 520075742 278657979 210563903 1000000000000000000 556663451 304856384 110020775 295550464 1000000000000000000 873766540 609651507 468669704 226070771 1000000000000000000 386058421 70479894 238545027 112754999 1000000000000000000 270585474 186179113 8864404 128362995 1000000000000000000 803881292 312648487 641384806 495863566 1000000000000000000 447168563 116629979 21583514 264449994 1000000000000000000 274096829 180127506 270926594 216267330 1000000000000000000 749695178 470839190 236804963 119034460 1000000000000000000 51209669 15446865 35158420 38643126 1000000000000000000 17527802 7439676 1997708 7721103 1000000000000000000 723464707 229586177 326790166 723148619 1000000000000000000 145908060 58274358 1852457 34264794 1000000000000000000 551994837 86281764 154547180 235051054 1000000000000000000 182101240 19516066 26501640 180399941 1000000000000000000 844091761 643051038 293810095 133939527 1000000000000000000 935883374 678136819 401162247 513575733 1000000000000000000 665823545 476414875 647304250 276216890 1000000000000000000 126589419 30905876 12430479 97885340 1000000000000000000 380114595 148887497 234768008 290437113 1000000000000000000 990377220 706342210 311469731 300168823 1000000000000000000 92847263 19796437 77121302 29351269 1000000000000000000 9672414 4018939 1548236 317554 1000000000000000000 394887777 2650846 363179512 329589359 1000000000000000000 820208139 804022770 370083877 637335230 1000000000000000000 57981843 8898862 30032280 3226183 1000000000000000000 747493661 102207995 554562762 433075699 1000000000000000000 191872438 66475390 69442032 126905827 1000000000000000000 835842831 293877298 198191043 703263559 1000000000000000000 155225696 129533622 120860853 132084396 1000000000000000000 688111245 201933072 519698600 275757551 1000000000000000000 529052416 1589290 350894450 396163201 1000000000000000000 136307759 115543634 49037082 21091552 1000000000000000000 592481741 482863867 155949616 316292783 1000000000000000000 271584277 209645581 219125655 3977641 1000000000000000000 930556338 211968798 549212162 806587004 1000000000000000000 367773238 187877457 138795598 8842567 1000000000000000000 409723952 200855435 181956155 230152163 1000000000000000000 658174588 197506443 623723874 346225650 1000000000000000000 838842228 718947098 225628638 271449642 1000000000000000000 49461666 3780464 23824678 20149632 1000000000000000000 568256811 271819148 45491518 483087273 1000000000000000000 111987314 94699395 46785232 108109188 1000000000000000000 685920864 498307593 361524785 327955725 1000000000000000000 49078107 40747067 30755636 32849838 1000000000000000000 32010831 19092129 9954793 7573826 1000000000000000000 674447601 347527379 532921489 654899988 1000000000000000000 643963931 411971212 194238813 303425413 1000000000000000000 826257681 509784163 136299736 552713970 1000000000000000000 959256571 292662926 47441362 908589217 1000000000000000000 13478339 9280161 6405669 3982138 1000000000000000000 721573084 73555789 404719231 500063337 1000000000000000000 831484688 721977500 49868915 380035048 1000000000000000000 493913439 485437343 63242670 157342043 1000000000000000000 623037757 105354357 109240335 559481433 1000000000000000000 163138644 110624939 105567723 49729946 1000000000000000000 817649499 186088309 608727093 656726975 1000000000000000000 100915871 86046720 57794582 80307822 1000000000000000000 587395308 133128641 368695980 459960462 1000000000000000000 664448334 584376583 203586241 508876658 1000000000000000000 438097387 7811392 433983697 364928996 1000000000000000000 179453499 114465343 130396968 144479767 1000000000000000000 261285176 109739418 183982064 75315184 1000000000000000000 631666588 204448744 168899299 513031569 1000000000000000000 242983028 142764309 45383631 188799877 1000000000000000000 49528895 45998697 41683059 41182952 1000000000000000000 259326374 220933079 222542065 139242083 1000000000000000000 943972480 852155704 621245363 715047414 1000000000000000000 163857623 15695024 159253942 36365995 1000000000000000000 624752664 577219550 402831696 277931688 1000000000000000000 61471140 60984506 21963973 6002628 1000000000000000000 382205710 222962659 279138996 226995065 1000000000000000000 986496294 750541595 644241937 929694008 1000000000000000000 630897960 311263596 558375010 328747532 1000000000000000000 441843341 29790059 223911137 103275329 1000000000000000000 380667342 43789912 343929949 71960516 1000000000000000000 916971459 443049782 54248803 593648567 1000000000000000000 597969588 558562319 116201792 395585979 1000000000000000000 358152811 136473900 183151851 299202321 1000000000000000000 564908730 189210519 400742195 399844210 1000000000000000000 622477725 155480952 431368516 242241510 1000000000000000000 185460438 47687025 57152715 45229383 1000000000000000000 297333908 120184564 32764327 33176571 1000000000000000000 9363846 3892352 2215081 7941078 1000000000000000000 961286740 754865014 673720115 694429214 1000000000000000000 64303071 47499619 10566389 51050668 1000000000000000000 691020743 186531502 14263627 217917003 1000000000000000000 133168801 2579087 62794680 38508636 1000000000000000000 126929825 96750906 69152752 46968189 1000000000000000000 326956599 94985720 177832736 297923012 1000000000000000000 546853695 412141906 13255047 199243938 1000000000000000000 324954169 317516184 78663386 154448639 1000000000000000000 490639945 68296562 217751277 473740825 1000000000000000000 439109951 94356830 74562045 376422071 1000000000000000000 425263751 37486778 282616647 165076114 1000000000000000000 561315542 391279918 414275322 176457770 1000000000000000000 204383125 160491636 15699105 170622199 1000000000000000000 502700982 338756608 290520446 277469233 1000000000000000000 397644584 227306133 34205450 395023980 1000000000000000000 582882407 508381530 528230518 160494441 1000000000000000000 916461953 3892953 861587115 648909119 1000000000000000000 329400433 28368573 276543753 239211834 1000000000000000000 230656995 223674589 56971829 160103987 1000000000000000000 368161948 335006616 29917986 311166983 1000000000000000000 131543085 106633082 25273285 124720070 1000000000000000000 532989780 133964434 26966025 140464651 1000000000000000000 128478926 70049600 98923639 110911545 1000000000000000000 723914903 80724108 451718539 620657598 1000000000000000000 753977314 139468299 365400996 404215227 1000000000000000000 793644350 87768712 615784198 501595848 1000000000000000000 786763084 638290342 338949689 723747460 1000000000000000000 425374024 147355448 67687750 209651706 1000000000000000000 67218924 52663703 55469306 50810752 1000000000000000000 232634936 165706654 2283743 231925420 1000000000000000000 949965763 638292773 835162539 259525077 1000000000000000000 644369058 514503892 514495008 280425112 1000000000000000000 745123919 406818961 606276875 130768770 1000000000000000000 777363454 143150263 413814062 604831951 1000000000000000000 858643142 307503116 649445828 236112590 1000000000000000000 165985267 47648623 44933849 55614431 1000000000000000000 381742761 1302116 335300194 132875901 1000000000000000000 234403102 152495173 184402578 176567747 1000000000000000000 717630892 16779829 444576896 232105229 1000000000000000000 465438952 90731104 141266320 162327722 1000000000000000000 725321800 610422202 133088461 214364019 1000000000000000000 309972931 248743396 100647421 175740005 1000000000000000000 212188975 177504568 189437945 163669479 1000000000000000000 20502153 6378970 1364172 20073004 1000000000000000000 897140981 237585153 714108287 494284253 1000000000000000000 512336747 232543959 438686970 370437485 1000000000000000000 502242145 245135790 280486718 29018856 1000000000000000000 773162283 77021001 706268663 754367866 1000000000000000000 863297248 489278388 465267421 271252254 1000000000000000000 671420890 395467369 505745421 9480240 1000000000000000000 106587912 71745581 102258584 21082078 1000000000000000000 626157613 64844669 239768595 204423657 1000000000000000000 323261088 206486467 275964126 310846154 1000000000000000000 201684750 198106567 73061366 139733033 1000000000000000000 376050947 178184232 361822607 243209800 1000000000000000000 465042845 360920769 458953 120222130 1000000000000000000 280770308 169109817 147612681 107887256 1000000000000000000 341948568 123483296 118580436 177912436 1000000000000000000 806277951 669988450 138057642 615433772 1000000000000000000 869836244 410816524 860188613 507957811 1000000000000000000 998794074 891122492 801966103 529151258 1000000000000000000 787864952 773251021 8771803 96796644 1000000000000000000 542790326 525282510 211171735 21547730 1000000000000000000 490868463 401182313 476289855 338898424 1000000000000000000 788882530 393913518 677241023 68538031 1000000000000000000 457008740 350230143 443969715 415193700 1000000000000000000 16397231 6902135 13226742 8168487 1000000000000000000 910770207 789515982 666749604 183367212 1000000000000000000 748402417 708911206 620854208 509269371 1000000000000000000 602867595 489211462 373734935 214915053 1000000000000000000 328098168 279828160 290116696 132053680 1000000000000000000 512775898 319693339 188946644 372461772 1000000000000000000 48231070 45434353 29662276 32451692 1000000000000000000 889009142 417022008 657028314 811407618 1000000000000000000 350033197 297657911 49433909 229227610 1000000000000000000 382201151 77208452 38336680 54240076 1000000000000000000 575856459 59203165 369828206 41106993 1000000000000000000 75480607 16722811 574155 41491298 1000000000000000000 142283775 8059435 92613363 23661656 1000000000000000000 578856672 2565721 50614414 107682328 1000000000000000000 654099104 62749356 639012855 542939345 1000000000000000000 113035283 74891734 46650948 96887523 1000000000000000000 431015529 83461841 128320244 230954260 1000000000000000000 862898115 655491510 194247730 461263403 1000000000000000000 510226666 55251768 170318552 442949796 1000000000000000000 953858219 447835675 840609647 578366864 1000000000000000000 735456549 126336335 588254925 430148203 1000000000000000000 596664391 496530010 411917063 19371143 1000000000000000000 140933220 107878454 91211388 121500888 1000000000000000000 988640192 627951549 951812353 735501290 1000000000000000000 582971121 3853990 431393366 420239863 1000000000000000000 501522605 390135029 414421398 46753049 1000000000000000000 368777476 313897498 250140809 197875003 1000000000000000000 968252675 167141710 8845061 843338368 1000000000000000000 917458605 779047464 56051471 99409681 1000000000000000000 32835074 29139253 24156933 23950622 1000000000000000000 923915874 524250326 306109311 531567623 1000000000000000000 92013360 62250092 91901374 28433860 1000000000000000000 96803103 70649259 78160360 88851443 1000000000000000000 978800755 239514481 804627143 615832427 1000000000000000000 472878344 118562509 347042024 231616897 1000000000000000000 146913794 18386197 37862645 21911224 1000000000000000000 743235988 565897200 516023708 623573556 1000000000000000000 184958137 3324669 119968013 93287542 1000000000000000000 240478034 134397584 230180028 197902534 1000000000000000000 500211485 354508089 235403013 406088344 1000000000000000000 32402908 10738094 20037865 22255659 1000000000000000000 856351575 780633525 127302958 397778139 1000000000000000000 326061374 79974459 220234325 2919018 1000000000000000000 215817260 100709713 124646231 169832679 1000000000000000000 220133530 2649271 216352699 101379457 1000000000000000000 948408837 670500406 719704808 555778403 1000000000000000000 816969466 497886874 11693057 487298547 1000000000000000000 135965171 92502884 81586000 19037868 1000000000000000000 197850367 44141447 167658129 178806775 1000000000000000000 625397359 353191512 291468092 401750775 1000000000000000000 967752941 485465726 877064229 807146981 1000000000000000000 795957732 708147637 683636339 10467587 1000000000000000000 684071008 508998917 435321755 647661733 1000000000000000000 547872649 322995385 111851787 291327201 1000000000000000000 219497772 133164907 84827156 5314089 1000000000000000000 211601745 118426335 73515715 100368563 1000000000000000000 378076300 211498471 261910962 228577524 1000000000000000000 316049994 3872688 194939407 14262636 1000000000000000000 519348109 35428893 321213230 339780030 1000000000000000000 924228944 390135367 665160808 245828162 1000000000000000000 515228395 156336200 70151745 95827056 1000000000000000000 747050333 429527607 363924277 213905742 1000000000000000000 623059030 214209602 395516887 529878886 1000000000000000000 226751298 11859162 100018263 134894013 1000000000000000000 117308288 3578146 91897858 41318775 1000000000000000000 971269873 431964673 458360605 966747848 1000000000000000000 411908412 355614121 11672651 46756753 1000000000000000000 20416275 2039634 14938343 16478266 1000000000000000000 579732117 262463543 468018811 348151787 1000000000000000000 256655154 114399674 119774871 122077598 1000000000000000000 257409798 112175021 19467471 112831577 1000000000000000000 774448920 8554881 561190215 588949337 1000000000000000000 595750583 144661126 500337878 563056571 1000000000000000000 268789962 60994079 114123844 259578432 1000000000000000000 261712808 25699924 97074837 62525575 1000000000000000000 274391616 88777398 108459469 132108765 1000000000000000000 36125909 32334040 8550116 31721452 1000000000000000000 439019576 438789677 249305513 214533152 1000000000000000000 887918830 300007872 724577021 538946593 1000000000000000000 669121943 537708556 266146723 513690498 1000000000000000000 828783671 287387417 468050260 606876363 1000000000000000000 195009033 4686681 87484860 57422889 1000000000000000000 805429173 766212522 271134036 164617295 1000000000000000000 731712413 83630193 351177599 513651928 1000000000000000000 456075266 417065093 202465795 291696174 1000000000000000000 598553376 237322229 495396576 53811322 1000000000000000000 660568741 189899570 300959579 460299256 1000000000000000000 253543189 89312606 22980418 86838315 1000000000000000000 749527880 708233575 514456230 322881495 1000000000000000000 755999335 148316508 501866654 614388244 1000000000000000000 593355037 116395179 431027261 539489721 1000000000000000000 526961840 400366610 515578568 155298022 1000000000000000000 969444223 162470229 785866980 822945864 1000000000000000000 983758646 821969821 204626964 488835350 1000000000000000000 953481864 934033947 185685168 341269790 1000000000000000000 238539275 110053678 11790656 94711258 1000000000000000000 575274386 313321093 433619025 543185284 1000000000000000000 175824322 12401580 133094453 32367761 1000000000000000000 857376969 804608186 294306428 376668114 1000000000000000000 624792529 127175275 524907224 523900972 1000000000000000000 102670263 101078632 58160915 42275980 1000000000000000000 240671992 2875597 62138042 148402269 1000000000000000000 947019744 700529062 167413154 596688317 1000000000000000000 237699060 33571576 63638591 18070173 1000000000000000000 371573709 186603649 345552800 253718530 1000000000000000000 356217640 251899243 219328461 121598834 1000000000000000000 267176058 57582220 5071824 127367468 1000000000000000000 148299728 60324123 31245656 2501388 1000000000000000000 874253087 237393666 597197518 446308973 1000000000000000000 82222992 15489646 37073164 43572878 1000000000000000000 709013559 321468380 342085691 161165742 1000000000000000000 697867551 381795034 362583122 584766072 1000000000000000000 329583116 232471177 231312437 203131185 1000000000000000000 873264521 649120929 492183577 818938699 1000000000000000000 344483280 89869621 39778824 333965274 1000000000000000000 712440639 376313879 433959321 616306045 1000000000000000000 428947839 342958715 91895444 405665893 1000000000000000000 525595948 503628614 250167988 131259181 1000000000000000000 144667142 75946197 98089704 116425338 1000000000000000000 241347400 59989354 6879819 9965053 1000000000000000000 903204607 827365522 609662486 523646408 1000000000000000000 721112327 253878715 340728302 711208644 1000000000000000000 989827781 570832977 827072892 93410653 1000000000000000000 722145702 465790549 661856224 156759945 1000000000000000000 554255012 123092004 147081572 204822749 1000000000000000000 164160699 17649335 26951138 27578481 1000000000000000000 148999515 57954904 131730710 139368888 1000000000000000000 982145712 643204257 633619302 174955709 1000000000000000000 541203692 406937088 369638261 397477228 1000000000000000000 690157486 670198776 480314987 415878421 1000000000000000000 573265091 92992684 18073429 537384145 1000000000000000000 173886070 133973065 101954720 45700427 1000000000000000000 653219593 634984070 267042369 354785106 1000000000000000000 144376303 19659738 125548681 11495252 1000000000000000000 313913963 238222004 182606936 269896158 1000000000000000000 607717478 244680458 482699707 535509017 1000000000000000000 369575992 12508993 109353336 308000941 1000000000000000000 825022464 456536425 87071466 61258669 1000000000000000000 177093836 64698119 162139348 105203765 1000000000000000000 563784609 205756200 343345588 10957162 1000000000000000000 453427929 337668585 318207824 111932166 1000000000000000000 204017289 173089890 54159042 175799643 1000000000000000000 401622375 41406974 42011666 352273212 1000000000000000000 678327265 248963912 597238110 281917121 1000000000000000000 446388516 89126072 440403949 424148384 1000000000000000000 147298000 72316136 93238458 125764370 1000000000000000000 463076135 418452538 288642396 298635366 1000000000000000000 387527704 70689515 61526957 322896454 1000000000000000000 598301319 389823456 488551952 369073876 1000000000000000000 837336924 386763407 596426677 659719216 1000000000000000000 81976183 4102859 6862956 73445960 1000000000000000000 131495802 120360839 49721002 75901447 1000000000000000000 480357505 58515016 319779378 123246447 1000000000000000000 65634089 6996975 12210413 64718952 1000000000000000000 904218579 148515708 264223094 766030553 1000000000000000000 139261868 97760104 105199828 130022788 1000000000000000000 436681753 273550939 242451952 46759330 1000000000000000000 877887442 259293276 114211765 528678908 1000000000000000000 770615466 89771275 693665768 150349071 1000000000000000000 813364221 634692424 555460634 719831211 1000000000000000000 344445757 121414907 297153313 260672883 1000000000000000000 380811770 209755785 130293469 100197562 1000000000000000000 422535423 245958734 226807291 306561894 1000000000000000000 406426501 346878225 354996474 43458231 1000000000000000000 589813012 288458111 429662575 170445185 1000000000000000000 984665108 928977783 219016051 124799743 1000000000000000000 62098869 17749149 53309742 38270661 1000000000000000000 534318645 181985878 417771174 118206393 1000000000000000000 234767747 196274669 108211015 55738714 1000000000000000000 352980824 176886698 318016379 195677357 1000000000000000000 518369212 455498512 298053320 179808890 1000000000000000000 761942802 338405649 318871932 56125628 1000000000000000000 595566437 573550955 316608719 592765143 1000000000000000000 34125505 14065820 22000588 25314987 1000000000000000000 477267096 418145712 383272381 214138359 1000000000000000000 357520478 173606339 83110622 165383864 1000000000000000000 196824698 77133753 14188182 25012921 1000000000000000000 110108578 51035897 41037770 57158905 1000000000000000000 860267999 507770502 703430458 670854045 1000000000000000000 201899809 174611716 99178238 166219781 1000000000000000000 987947773 948899350 84681570 691692483 1000000000000000000 892905514 818262092 19147513 555022833 1000000000000000000 924932681 353421213 659330042 590034819 1000000000000000000 589020891 175080572 198297744 554001546 1000000000000000000 119723611 13543337 50407340 79843879 1000000000000000000 155544875 136255112 144700095 121744779 1000000000000000000 161275279 148784921 59568216 161014357 1000000000000000000 519268177 138416824 168989031 392436021 1000000000000000000 96879650 88233131 78967112 52350356 1000000000000000000 707378254 382537022 279067223 686423058 1000000000000000000 661076576 497793281 269336540 388276727 1000000000000000000 602390356 587386780 181876628 233303444 1000000000000000000 264853345 89454317 53022206 159659336 1000000000000000000 726882885 367839840 95265326 433102015 1000000000000000000 744494699 556261885 568221756 521327153 1000000000000000000 711324367 261682881 677754269 553873520 1000000000000000000 743657530 475200438 186690707 609145726 1000000000000000000 858685274 746080779 696398239 489698128 1000000000000000000 184915802 30405657 52014231 109910161 1000000000000000000 171686410 53789359 121919750 130228310 1000000000000000000 921497719 190347451 697261869 52740280 1000000000000000000 58144767 6029818 46651386 19251152 1000000000000000000 63149976 23014482 55993595 17122931 1000000000000000000 420576531 385645873 352599257 236754023 1000000000000000000 377636101 290589335 372166810 243879162 1000000000000000000 354751838 174334715 53604647 259309210 1000000000000000000 154461414 93802224 76578567 94114341 1000000000000000000 423819042 262569372 325286423 288174721 1000000000000000000 186840286 177886383 108417946 23139820 1000000000000000000 515134658 104481118 110158972 230136781 1000000000000000000 243315101 68957480 20079525 235876292 1000000000000000000 413648171 93559582 75987913 352190086 1000000000000000000 981816289 975569982 258296974 146139897 1000000000000000000 138369147 79615811 18506218 52811141 1000000000000000000 427946134 31843630 239911705 62409792 1000000000000000000 772388804 535285936 250852288 551445703 1000000000000000000 992886223 941623904 573526405 96450352 1000000000000000000 905510323 122392681 203276638 99510968 1000000000000000000 972103046 701808852 730719740 359336543 1000000000000000000 991942166 349294850 563846149 226491083 1000000000000000000 632234806 8093218 82685129 437836686 1000000000000000000 481650629 373868564 229085818 83453082 1000000000000000000 142366392 119792323 7416264 34358916 1000000000000000000 425477563 286369694 222417251 14681759 1000000000000000000 938600460 93640124 504241657 305512195 1000000000000000000 837643966 755639671 642780883 471875185 1000000000000000000 448020366 61891133 160871832 315840975 1000000000000000000 652834643 305583502 339889869 543029287 1000000000000000000 824552301 605927297 396261639 378611249 1000000000000000000 52982234 38909234 43248946 32013455 1000000000000000000 513778015 495650189 380733313 235747133 1000000000000000000 920356945 451655206 223252253 406376102 1000000000000000000 236240710 118405603 220337341 40547120 1000000000000000000 203874700 94686726 67311317 88054603 1000000000000000000 293468388 43606555 240588955 242579712 1000000000000000000 792865284 581525695 112092037 335504239 1000000000000000000 925033190 650009805 852052238 515300955 1000000000000000000 381236180 93548715 94975646 107382166 1000000000000000000 553658864 247015619 52881774 161685578 1000000000000000000 422850039 48570540 72869127 128705106 1000000000000000000 307245668 50793894 50157839 198111117 1000000000000000000 559434491 382045708 411787342 221923516 1000000000000000000 79849314 13743651 72871117 32434877 1000000000000000000 449520069 440745402 33829620 331947178 1000000000000000000 798789476 1117371 566567582 219533365 1000000000000000000 805816794 634556985 29369988 608222993 1000000000000000000 309531788 99698985 237653314 31335189 1000000000000000000 585566995 262273013 250619647 567796325 1000000000000000000 821899013 666913728 414137607 285352698 1000000000000000000 286420839 172680327 72930946 248778267 1000000000000000000 803987504 454090753 603936224 514985704 1000000000000000000 642242172 262721293 135882769 262750966 1000000000000000000 507841896 268189511 375824224 304847618 1000000000000000000 354448037 270599738 68399943 329277456 1000000000000000000 666163485 312615800 445852860 652679056 1000000000000000000 504413441 284172108 48013807 109792860 1000000000000000000 620446776 593468677 1281878 605774896 1000000000000000000 458494952 209429823 152334755 397153345 1000000000000000000 111579909 71466630 95888875 54435530 1000000000000000000 113475698 23009955 9933271 27514568 1000000000000000000 52020832 39369230 12201999 42560899 1000000000000000000 873827530 185966297 449850032 342452452 1000000000000000000 169433689 16126418 119317822 107392987 1000000000000000000 570137705 236013105 1256621 437700721 1000000000000000000 741825593 240360579 34853929 495771856 1000000000000000000 554330429 483711172 248816694 5389648 1000000000000000000 660960255 516273665 176416254 338697508 1000000000000000000 273726933 45273935 200726534 251502225 1000000000000000000 479533866 356763972 375722957 32885123 1000000000000000000 720856508 719621355 645367658 394842464 1000000000000000000 461107250 355681571 118726638 118848464 1000000000000000000 99610066 15941671 98469230 70766929 1000000000000000000 37175027 5131762 27866091 7069809 1000000000000000000 377848806 60379719 144416126 356645386 1000000000000000000 44893808 6334981 38337727 20351213 1000000000000000000 549427801 405505725 189613376 65629794 1000000000000000000 584228071 387843457 560192389 388279699 1000000000000000000 610964303 472529690 577290362 127206196 1000000000000000000 312834387 279617954 112779540 252424314 1000000000000000000 389006312 369078777 111631151 262258236 1000000000000000000 211203569 105610328 20293513 29341541 1000000000000000000 780901959 146048905 491006423 4359508 1000000000000000000 334949759 310926302 329685852 205801457 1000000000000000000 280111129 97323515 75923586 117792107 1000000000000000000 810273859 517900918 648309891 606430029 1000000000000000000 394174518 51095815 338018011 155886354 1000000000000000000 675169868 173839107 610022644 533471315 1000000000000000000 303993726 157062200 9442322 92909789 1000000000000000000 704653758 350550310 334352747 330455711 1000000000000000000 646472411 456712617 639969966 420197032 1000000000000000000 707589685 36883751 663782190 650284670 1000000000000000000 127536837 35417462 46352652 80989921 1000000000000000000 819146070 341348841 587632135 196781436 1000000000000000000 250530167 6955108 185643776 165999239 1000000000000000000 110702919 78784038 21766220 104789106 1000000000000000000 626075593 155666021 328758666 483609474 1000000000000000000 226322454 202932657 62213078 100713686 1000000000000000000 784536554 608131385 520743397 173347872 1000000000000000000 313769108 288278534 174999782 42131858 1000000000000000000 616637166 246647473 324330019 399485272 1000000000000000000 663260616 633369960 531952972 228901579 1000000000000000000 123306563 48061751 51438149 114121332 1000000000000000000 606191822 446997837 14298644 336804122 1000000000000000000 153824931 80081527 96798376 83929448 1000000000000000000 242345661 236110412 68421930 189676478 1000000000000000000 885003085 127921488 451722097 210006932 1000000000000000000 628421763 536297511 273901316 89864829 1000000000000000000 375709412 255894465 305862409 49298724 1000000000000000000 535265779 175690002 74086377 429032230 1000000000000000000 55549061 48297073 26196313 34055641 1000000000000000000 873710622 788043782 751665468 50854360 1000000000000000000 58462723 17971608 24211104 8936578 1000000000000000000 454383447 121233197 176654742 73370922 1000000000000000000 674034300 576023094 490572535 334422410 1000000000000000000 338648297 294017543 116491146 133953698 1000000000000000000 490803574 215145845 205432308 111590659 1000000000000000000 640023182 511986064 508967826 410412947 1000000000000000000 993960084 159598063 734996131 471782848 1000000000000000000 345093933 106930675 57691742 60632737 1000000000000000000 98383397 11191109 63871339 92291063 1000000000000000000 651084185 82228212 361317581 282819219 1000000000000000000 762822169 738217974 739546215 469042918 1000000000000000000 819234371 136749728 515057447 6317528 1000000000000000000 813127197 564403865 174555483 716441281 1000000000000000000 696817775 25333350 87480801 227220043 1000000000000000000 247223352 116629300 55514423 33460548 1000000000000000000 175675323 23686424 9940893 147800125 1000000000000000000 333732466 142950887 173206547 145376744 1000000000000000000 160254961 109811503 66136465 88693189 1000000000000000000 382908492 209367115 186231212 159011874 1000000000000000000 519988350 108458257 201257880 120105679 1000000000000000000 601711955 389112899 171028838 20173740 1000000000000000000 177765577 89339232 146351582 30712895 1000000000000000000 513398720 331487664 8704357 24925095 1000000000000000000 384092101 117832753 314343665 117932693 1000000000000000000 875329228 715050988 686809989 535362360 1000000000000000000 81831360 77848227 16248641 35166897 1000000000000000000 868534191 757327555 417377735 753741106 1000000000000000000 2634156 2066050 1284565 529941 1000000000000000000 740032879 184007778 442114266 717165919 1000000000000000000 365449034 206115770 271910482 29483861 1000000000000000000 515674594 487440407 498455308 94193508 1000000000000000000 567744775 315762003 380249526 500592907 1000000000000000000 722732895 61524828 212102385 448415085 1000000000000000000 649262266 297235624 584960705 108376730 1000000000000000000 131501404 128224438 30925410 41261739 1000000000000000000 960020160 418148624 686024625 342190929 1000000000000000000 740854351 611794099 504715218 47788369 1000000000000000000 502241168 474586623 17203100 98586497 1000000000000000000 383447471 177959939 351676636 182431286 1000000000000000000 842667504 784886907 543097425 118319947 1000000000000000000 252707225 42799988 15079093 13770567 1000000000000000000 985202139 4995974 750013382 104689670 1000000000000000000 130885022 124944536 54263655 24015619 1000000000000000000 404321384 376244141 286426582 401606877 1000000000000000000 993111213 581318308 429972976 593297118 1000000000000000000 646304590 394662175 585317058 18020521 1000000000000000000 177962604 168664363 27403250 165248693 1000000000000000000 233758391 156143530 209695048 121001439 1000000000000000000 321992084 134292800 309649997 160191643 1000000000000000000 78844920 6251004 43863237 73471134 1000000000000000000 453759154 117095335 144231921 374297791 1000000000000000000 619036280 147461229 120063037 551648689 1000000000000000000 777690493 172488226 421485956 519869025 1000000000000000000 671308316 389469578 480117817 529867200 1000000000000000000 507098108 297178568 224439460 9260709 1000000000000000000 736436410 625094899 426236192 380790075 1000000000000000000 901128048 524932740 33582566 207373637 1000000000000000000 294534983 278133143 22287853 6290722 1000000000000000000 841289380 390249744 761064008 115468189 1000000000000000000 486599519 452104234 413058977 453053321 1000000000000000000 835294317 653006490 342274316 747670300 1000000000000000000 738375890 445504342 168802072 60248050 1000000000000000000 684578854 505734852 79280240 91140637 1000000000000000000 253167677 250374431 114916720 105198092 1000000000000000000 713327201 123493046 424042475 562218127 1000000000000000000 992871013 38750203 109547808 243085145 1000000000000000000 830721949 347175870 828677775 703779860 1000000000000000000 205196213 69753843 137945028 70300088 1000000000000000000 766272537 99389243 730754516 535779459 1000000000000000000 191639839 82695642 161064279 133038491 1000000000000000000 195153235 80166980 124130217 185554593 1000000000000000000 759284739 75984688 91081410 247488757 1000000000000000000 314574380 267194449 218063588 179663059 1000000000000000000 473694853 351297353 378705645 175354441 1000000000000000000 608407219 338835590 264434478 370227283 1000000000000000000 543213207 344820476 63258459 492473007 1000000000000000000 472451797 393251581 58072692 88029598 1000000000000000000 331845468 231611460 208851402 144124464 1000000000000000000 749644700 363873030 477209480 724688082 1000000000000000000 94152875 33347358 25142393 52164432 1000000000000000000 157746480 82930414 25682577 40289487 1000000000000000000 295539693 32638486 251134687 72600804 1000000000000000000 643398459 381167592 309246540 280772294 1000000000000000000 521544077 406715951 247435104 173018656 1000000000000000000 346837095 208586575 269039884 307705849 1000000000000000000 558986635 73022704 106538532 116946435 1000000000000000000 563570952 169421212 111862720 540251215 1000000000000000000 727859723 235541595 9438611 252456476 1000000000000000000 319663674 206371735 57438687 182022340 1000000000000000000 719469927 276375639 270674649 660282709 1000000000000000000 796686001 389972972 651644808 524958311 1000000000000000000 118564426 105719445 38105070 19326131 1000000000000000000 160015482 135908665 95698356 148060861 1000000000000000000 345843878 237569569 193654064 263835195 1000000000000000000 438209981 214968188 263836907 405161416 1000000000000000000 259855297 194093011 124718231 59752267 1000000000000000000 872813767 704712866 20698189 482701513 1000000000000000000 605826200 140479444 512190422 210901858 1000000000000000000 722158828 343332825 228469872 2296298 1000000000000000000 193568815 34442214 90146511 17722699 1000000000000000000 828856476 179830708 783908202 199695405 1000000000000000000 300031317 193783855 279651382 111353836 1000000000000000000 386319906 151939524 361616189 124906796 1000000000000000000 534444274 207349364 324659175 480369148 1000000000000000000 447717322 386021316 83644781 366033268 1000000000000000000 695081171 425152038 343928390 88872563 1000000000000000000 314444644 207826367 46347175 110396037 1000000000000000000 59762855 37750904 43563487 38916429 1000000000000000000 760867160 242894849 36660192 357368911 1000000000000000000 909779596 883254004 205066926 467300372 1000000000000000000 780417133 158977628 564934511 769299309 1000000000000000000 716722859 195756717 297818258 75767220 1000000000000000000 732387864 198315837 478555953 305364535 1000000000000000000 96960169 77920567 15387005 95101492 1000000000000000000 817345175 423894477 60026959 284012373 1000000000000000000 443911374 379317424 294881430 378692265 1000000000000000000 26269610 18348847 4227592 4778605 1000000000000000000 612671166 190160525 379816577 1038721 1000000000000000000 870086470 661315152 117260833 192090649 1000000000000000000 577004536 528137567 314626582 42868436 1000000000000000000 631319985 605791818 581192940 259186383 1000000000000000000 226741669 221125458 24862162 8859802 1000000000000000000 273482598 115615099 232469038 170519234 1000000000000000000 419807914 311892479 389050264 198564565 1000000000000000000 262028719 245938486 124990931 79010195 1000000000000000000 829702147 623678888 186482988 748044159 1000000000000000000 858799799 663227178 70277887 852313202 1000000000000000000 946560458 81150976 839151331 308088400 1000000000000000000 264098540 187167636 26925612 196919219 1000000000000000000 551655998 52002800 506753218 13674356 1000000000000000000 166288723 119304667 123092713 78690995 1000000000000000000 964545876 182779698 287565286 330961915 1000000000000000000 538026599 215630786 48050374 220650458 1000000000000000000 823886542 615834899 740778371 767280654 1000000000000000000 967522182 606615270 821472605 558657914 1000000000000000000 423046341 228347934 82966154 148345004 1000000000000000000 293320210 30222042 10319392 199960051 1000000000000000000 506053330 137288858 255211690 190912785 1000000000000000000 427622134 263130990 220510835 367398406 1000000000000000000 863428160 799005142 451153146 607013154 1000000000000000000 488845585 201115476 351475633 277507267 1000000000000000000 473860032 438913439 345573866 246366899 1000000000000000000 951857797 453982113 832763215 710289095 1000000000000000000 936354587 522608557 782420276 828285388 1000000000000000000 8038936 1944863 2890388 5530179 1000000000000000000 110066542 60987132 92496166 21448343 1000000000000000000 641132133 604949333 13261285 60560080 1000000000000000000 451093872 66750437 20059928 414583820 1000000000000000000 30335299 24916060 6813961 19337685 1000000000000000000 748433292 246441527 545858236 120350953 1000000000000000000 752082276 552770825 593142495 66723291 1000000000000000000 814518585 724567115 610123546 709129158 1000000000000000000 488703392 91999454 198521060 47033332 1000000000000000000 372253457 42840527 294255153 277503 1000000000000000000 375105038 271922656 13155046 365757997 1000000000000000000 413967617 196803146 140204442 9097152 1000000000000000000 92265999 70091980 83763999 455673 1000000000000000000 154966625 12455980 31723326 60667305 1000000000000000000 91944867 33404527 25931899 81360887 1000000000000000000 438648426 287966363 127951452 281923985 1000000000000000000 70405949 12112718 58132636 26958995 1000000000000000000 776276494 74935133 165023882 736714147 1000000000000000000 289093141 242140360 26066605 167451666 1000000000000000000 123761826 87461837 41062971 23901800 1000000000000000000 577729599 374549797 302553466 518028386 1000000000000000000 109760912 53549457 72330688 9355075 1000000000000000000 352208586 52891576 74564232 246665432 1000000000000000000 497094787 375455837 242980499 330622434 1000000000000000000 30542639 4358476 24907382 19824792 1000000000000000000 870102485 367672103 788846332 683516801 1000000000000000000 702167590 131917425 83843359 220844610 1000000000000000000 763453199 634017681 748995204 273641062 1000000000000000000 401696053 241764042 282499749 353369803 1000000000000000000 568742458 418491833 60594792 503496274 1000000000000000000 839975852 465399684 831625780 364227485 1000000000000000000 273957877 125661173 259819446 51423896 1000000000000000000 451191771 239324802 171240555 31385416 1000000000000000000 487976884 361535968 84280634 340582465 1000000000000000000 433139902 258640760 115652785 256634079 1000000000000000000 968390085 597840761 341430454 106518117 1000000000000000000 576448212 342989575 27701926 236220845 1000000000000000000 939902564 808791100 623410169 626357361 1000000000000000000 9329291 4581089 2078921 2078860 1000000000000000000 562943385 179407369 23218886 423331850 1000000000000000000 52133872 50220074 1904977 10047410 1000000000000000000 1017676 878667 930970 935959 1000000000000000000 371255850 9911087 70021670 365862777 1000000000000000000 705187615 551735478 27727212 169054376 1000000000000000000 512298294 69883149 155552998 34387670 1000000000000000000 646770256 266934328 550970857 407166403 1000000000000000000 465951929 460764284 451781920 295544000 1000000000000000000 849163710 637982672 848714605 334454903 1000000000000000000 556626654 290194203 235097541 59261395 1000000000000000000 402958999 400920974 10509966 264957825 1000000000000000000 940860813 838584503 563256255 330120449 1000000000000000000 648129645 451675321 209251086 147619617 1000000000000000000 315699160 96130269 37914607 280984000 1000000000000000000 355884283 312175350 275451199 158350018 1000000000000000000 610471155 221710149 130373912 426111280 1000000000000000000 579223955 542119294 282565324 82641711 1000000000000000000 200897802 91747231 140380335 83147742 1000000000000000000 185188888 127935022 10000225 141303142 1000000000000000000 895601492 23181350 496580299 383513957 1000000000000000000 203423856 38565738 33949499 1628126 1000000000000000000 231073387 4550795 193843052 185827619 1000000000000000000 110135319 49671557 22557622 43549047 1000000000000000000 667391412 433601351 587910978 584085934 1000000000000000000 811171276 369346708 541002520 269354619 1000000000000000000 32707828 20227532 21262340 24200516 1000000000000000000 235935322 73335370 68820812 163239821 1000000000000000000 168844160 98566566 123451134 130116943 1000000000000000000 371375947 268531015 9901446 355512631 1000000000000000000 969186412 950260868 21473625 571926947 1000000000000000000 894843884 563810301 618425318 305057234 1000000000000000000 206651672 140431309 126624454 135921639 1000000000000000000 551792988 489548219 143204493 266320627 1000000000000000000 952694722 651986841 303587226 539784477 1000000000000000000 247155836 156676754 76869409 107700286 1000000000000000000 276174090 58127033 255982886 34094464 1000000000000000000 597463904 169722968 409466196 420579053 1000000000000000000 417928405 182852459 406401861 57726757 1000000000000000000 953412763 441211498 265335136 229561964 1000000000000000000 847328963 522665161 286588244 554522008 1000000000000000000 803993570 714069321 23079838 516465678 1000000000000000000 264265507 64348363 209104526 89769612 1000000000000000000 539084085 523337072 438147795 403283006 1000000000000000000 815533153 176425517 762429753 318521252 1000000000000000000 725297800 236677880 65219903 365929360 1000000000000000000 484915168 346828512 188140319 421974796 1000000000000000000 446735880 38816963 158405386 215371811 1000000000000000000 473292814 426974005 204625071 144092832 1000000000000000000 621763217 530863190 415344933 1345556 1000000000000000000 40170041 39828974 7215444 4027532 1000000000000000000 799776000 616655339 194602558 421866067 1000000000000000000 143554068 101469406 99565059 117010615 1000000000000000000 255318451 138612912 42411589 200437477 1000000000000000000 801581628 536504393 130720409 534457506 1000000000000000000 818438710 765742236 575189465 175683639 1000000000000000000 164663952 33848879 150208465 114466367 1000000000000000000 233261686 93941981 199151673 96306780 1000000000000000000 421063895 245931102 83735098 303758246 1000000000000000000 838196872 310533316 730425263 324910437 1000000000000000000 47176797 27934473 45365725 38207448 1000000000000000000 842985844 661520749 487435087 558658735 1000000000000000000 64931742 39072125 41747055 36949878 1000000000000000000 124810631 13166780 42593252 108141634 1000000000000000000 636976574 24730724 403064121 546094411 1000000000000000000 803260562 731722542 19562219 148623076 1000000000000000000 546002260 207319809 423509575 515554896 1000000000000000000 303702381 69811671 27990317 10635627 1000000000000000000 137653261 67435207 133141270 48372931 1000000000000000000 229068616 75911211 87629309 103812075 1000000000000000000 279433229 161223381 31177928 179992069 1000000000000000000 829541197 310589990 45214018 323378775 1000000000000000000 460915979 80036610 353955823 113125415 1000000000000000000 502391746 150719536 275545307 21713746 1000000000000000000 425754315 24219691 267512760 399070666 1000000000000000000 96272391 45154586 21376819 44921296 1000000000000000000 192687201 130534894 111434222 132146103 1000000000000000000 564651648 94265207 64731540 486553555 1000000000000000000 248374808 189980559 122819700 27047973 1000000000000000000 667206380 54574229 317020552 663546986 1000000000000000000 840086747 147149388 289192583 5101289 1000000000000000000 489917524 467045288 6083913 145309886 1000000000000000000 64102075 42689522 46841874 25794006 1000000000000000000 713615827 306602327 203266105 665777785 1000000000000000000 958063273 679435006 162746449 16462471 1000000000000000000 246392582 211468381 104425789 122147036 1000000000000000000 531729381 311879816 398589491 454036552 1000000000000000000 468266710 64978916 328115945 336211018 1000000000000000000 685390409 411942093 644924795 287801507 1000000000000000000 477880687 307623108 202927770 249641330 1000000000000000000 494138842 8221240 205895001 473942324 1000000000000000000 420272538 5053347 346010743 253187534 1000000000000000000 611573392 158381245 361271636 278773281 1000000000000000000 364383238 49229950 35788004 84873736 1000000000000000000 119821474 29621996 20425913 101856207 1000000000000000000 129261224 708450 10248451 78784554 1000000000000000000 772597159 763116103 232981825 578449284 1000000000000000000 300300843 62525016 178227210 43575716 1000000000000000000 437369309 225394494 152156391 34498140 1000000000000000000 984718432 342143148 411835756 844817848 1000000000000000000 622728550 563996733 366830992 390428290 1000000000000000000 359977941 179047014 205009892 327649495 1000000000000000000 228206335 98054767 227052973 180945963 1000000000000000000 118525822 2243785 5564227 86506753 1000000000000000000 226049921 173244644 62633493 192333476 1000000000000000000 660702091 660105097 352574308 233863158 1000000000000000000 452665097 8860518 142261453 71711422 1000000000000000000 24828184 22587945 11901020 3257293 1000000000000000000 117404825 54157481 4476869 60928705 1000000000000000000 484590684 297596723 199378538 475090234 1000000000000000000 19223368 5306787 18413604 15673274 1000000000000000000 320353372 150454620 103445675 222898936 1000000000000000000 446778860 36821475 396605076 342860616 1000000000000000000 155013365 53940508 6164483 32024947 1000000000000000000 975168386 496608214 213713895 897194461 1000000000000000000 521472547 406000867 338460329 293182744 1000000000000000000 500670624 121094216 190288091 175070384 1000000000000000000 372687220 213666376 306895931 191432746 1000000000000000000 896024216 400382053 585380411 563059869 1000000000000000000 246483764 239994354 39099641 39217776 1000000000000000000 128057327 37760439 32260709 19996912 1000000000000000000 629095830 188861498 407952842 461184691 1000000000000000000 790476625 71750816 100106213 777091834 1000000000000000000 139668568 114071373 110101072 139463692 1000000000000000000 218860341 205651537 177623712 119699237 1000000000000000000 761040291 109579479 26065396 13976874 1000000000000000000 2320395 403229 901570 1995658 1000000000000000000 367738269 57431471 253698149 231500513 1000000000000000000 399596818 376922112 188053052 184728015 1000000000000000000 480792759 9370478 137078113 383688659 1000000000000000000 527250180 194553504 440295744 239394975 1000000000000000000 278276140 34815727 82855203 252264675 1000000000000000000 431989594 429706708 246201972 254970925 1000000000000000000 330674519 217146477 175194699 321613778 1000000000000000000 716345698 679174965 402196367 89918559 1000000000000000000 258297484 130263215 77910297 172765753 1000000000000000000 793514917 395070984 341264867 343559081 1000000000000000000 273667644 81902475 198238336 43911947 1000000000000000000 935710081 621613744 219784544 281730827 1000000000000000000 729754131 432718723 462559200 585694181 1000000000000000000 322124870 23145262 190804879 79352508 1000000000000000000 42070740 3006482 9827723 32822701 1000000000000000000 948967485 139705775 699558741 565995883 1000000000000000000 680254368 158112287 6863970 248937662 1000000000000000000 998529989 516590746 790458471 16947729 1000000000000000000 616350909 428762270 259497376 235392299 1000000000000000000 935671041 431825051 73954750 172755002 1000000000000000000 198005072 131448083 177457878 20546162 1000000000000000000 742964258 251002341 192373797 561180645 1000000000000000000 712405461 15107671 142533095 189581696 1000000000000000000 470417654 445456049 281176810 317174079 1000000000000000000 163972100 46997765 10282625 76350567 1000000000000000000 489025208 49544632 328223092 305629050 1000000000000000000 46932835 8081176 17738877 9568862 1000000000000000000 721858371 91224161 687987309 501180773 1000000000000000000 849721556 792448807 106526414 653340230 1000000000000000000 763613676 283596085 516971586 619779128 1000000000000000000 6199900 1417137 4185830 5370546 1000000000000000000 607533572 365691253 308088502 530889118 1000000000000000000 680130697 48712331 235410103 630204141 1000000000000000000 307803109 173577275 149760514 231497143 1000000000000000000 817277300 565966970 521916261 594010501 1000000000000000000 694401889 657740831 192935262 352283104 1000000000000000000 461556786 270497669 384914095 376507760 1000000000000000000 461825562 142689327 461280662 361616197 1000000000000000000 296590999 212645335 54580586 196708402 1000000000000000000 368852713 116269512 342064033 353974733 1000000000000000000 775510241 408328244 124298496 313875689 1000000000000000000 701837992 77710936 395247373 44346844 1000000000000000000 595104494 437772390 489084513 573871596 1000000000000000000 37182991 16415119 4325831 14884029 1000000000000000000 27851687 27556528 5288563 23177118 1000000000000000000 654332668 37133175 303977300 19478086 1000000000000000000 456046138 312492051 126769727 360358534 1000000000000000000 757802696 425888885 689523864 188985399 1000000000000000000 366823975 249698362 130532477 75288703 1000000000000000000 724422279 622554149 617648337 161284111 1000000000000000000 965975107 482206241 844557873 460695017 1000000000000000000 917281348 324754691 326103281 156828496 1000000000000000000 722949887 482414677 335752244 721054928 1000000000000000000 780872370 717097125 685662625 60892053 1000000000000000000 73864182 59907602 3263133 18863960 1000000000000000000 416271043 329185480 195082709 151424890 1000000000000000000 12732106 4702233 11084447 8347348 1000000000000000000 641461712 107032260 327983938 603863563 1000000000000000000 905915845 292114239 816966770 559717389 1000000000000000000 913714648 190859153 830116063 18005193 1000000000000000000 648335429 606086518 407400732 67369308 1000000000000000000 658832949 119320410 59834299 601256374 1000000000000000000 157806604 99100927 93247601 16698635 1000000000000000000 538665555 436705665 499714403 324532496 1000000000000000000 358872242 56368008 211562144 227504113 1000000000000000000 227718668 41037135 165574719 121444141 1000000000000000000 332991624 140022662 84044839 317547401 1000000000000000000 776558028 383142703 602401938 158902105 1000000000000000000 985752681 914680586 173157004 813213913 1000000000000000000 204293813 73605052 4633316 161747030 1000000000000000000 644124820 565152816 55525047 452186832 1000000000000000000 107859685 64441840 19534282 83434978 1000000000000000000 86346038 18605692 78686654 3692341 1000000000000000000 793303834 662387851 639395727 603148525 1000000000000000000 747162520 419089601 496385870 342528425 1000000000000000000 434682666 384218972 97230988 425715430 1000000000000000000 522538247 121573867 105999961 166141974 1000000000000000000 156409912 144060819 24046463 136372319 1000000000000000000 492371594 280425073 458178243 454318385 1000000000000000000 314351288 108534892 192117565 70889952 1000000000000000000 391258863 77775689 83824288 67514814 1000000000000000000 532052867 430784281 51440072 484346186 1000000000000000000 185233002 181481981 24161376 59777710 1000000000000000000 470843662 361654162 377631169 28108459 1000000000000000000 22299322 11701071 1958333 4711581 1000000000000000000 377450824 39514966 367405847 208038536 1000000000000000000 147542385 29367323 86441550 110764615 1000000000000000000 881291581 440844178 545463194 728807926 1000000000000000000 643225513 464022670 91943049 636179886 1000000000000000000 790852019 461814933 259289129 396817878 1000000000000000000 947247115 468736241 111860537 208763005 1000000000000000000 726041606 158245902 244975810 629657845 1000000000000000000 116672371 61404173 108108602 14454594 1000000000000000000 113284407 103275071 50309719 1850099 1000000000000000000 48460520 11531248 6371125 22089460 1000000000000000000 702904358 332713165 279357616 189621020 1000000000000000000 601906460 384378665 535400831 460688100 1000000000000000000 737294592 635721819 631186807 158602519 1000000000000000000 994310334 641684092 130497227 497654514 1000000000000000000 451083302 123948308 167077866 440773872 1000000000000000000 102952018 10829523 1539553 54396197 1000000000000000000 249777258 177365714 171511562 128774598 1000000000000000000 689721529 432795894 12824420 524864905 1000000000000000000 715810925 269441846 181092675 554544640 1000000000000000000 68825183 7628095 6448427 51686928 1000000000000000000 954235732 81815578 495728902 509430826 1000000000000000000 622851402 165292200 498681699 560210723 1000000000000000000 648783250 582017184 307492192 289023547 1000000000000000000 12210550 1355784 9514769 4230888 1000000000000000000 833736437 136960889 366558425 355157349 1000000000000000000 500752458 441669290 167011350 106535142 1000000000000000000 917252846 193061661 655580375 689978450 1000000000000000000 145841028 36664374 115071051 30562769 1000000000000000000 811742584 766717260 432159870 560438723 1000000000000000000 265821199 179337219 147059410 124263123 1000000000000000000 34719435 24835588 21602982 22580390 1000000000000000000 304466457 8748962 40339656 44974632 1000000000000000000 654539101 447159880 72284636 40132483 1000000000000000000 787671744 161055369 94772750 176824230 1000000000000000000 340579242 295558715 63100094 312900158 1000000000000000000 42523253 19410882 40961519 33392012 1000000000000000000 453127354 398865316 49779697 406944086 1000000000000000000 62792231 26815977 46836086 47706408 1000000000000000000 571941762 81420676 420598576 215564219 1000000000000000000 320854841 205683866 171334294 294124020 1000000000000000000 107927501 95457804 79417712 69318627 1000000000000000000 239972369 27862514 205547390 141474282 1000000000000000000 637389623 513934544 423150708 161486633 1000000000000000000 300114651 118810280 44413608 37428005 1000000000000000000 257683072 169163259 38623306 229605869 1000000000000000000 314056844 74648962 119567651 260878836 1000000000000000000 866105737 487226776 47781579 475131500 1000000000000000000 649319412 550789068 527361069 401629218 1000000000000000000 844850737 351936460 251371667 249897039 1000000000000000000 805169623 506092511 190893557 509450026 1000000000000000000 276529017 58788157 24143031 140173632 1000000000000000000 117380715 94081134 17442944 96964604 1000000000000000000 862927900 221449515 397075786 138574940 1000000000000000000 959941108 906319779 642476700 776672194 1000000000000000000 812837988 524248865 105619857 96876565 1000000000000000000 634865631 23595085 500617174 567890126 1000000000000000000 904212555 556151247 151978994 11838374 1000000000000000000 401367968 321946424 125490874 349476362 1000000000000000000 664032054 327896992 297655921 18602987 1000000000000000000 138493359 35952404 2490417 35400709 1000000000000000000 157490762 89488799 80583157 95502781 1000000000000000000 581199009 7822844 575038745 320600652 1000000000000000000 391999602 365788937 225747667 277206665 1000000000000000000 921613540 40175979 541680912 454864993 1000000000000000000 502825698 168100674 184908537 384608846 1000000000000000000 886941768 625296126 84791456 718413814 1000000000000000000 767366591 16089997 82723465 206043394 1000000000000000000 744370851 361772366 688719192 689857991 1000000000000000000 628584812 324198877 118914638 350263829 1000000000000000000 982488689 149051111 274633437 268573926 1000000000000000000 603330576 539877317 127294902 28803241 1000000000000000000 77409999 12461348 69689412 41593196 1000000000000000000 829553780 802901012 174811826 438087214 1000000000000000000 363775751 193116156 6713389 231111096 1000000000000000000 122720719 115318079 109967484 104229446 1000000000000000000 226314444 204052714 99064221 91876628 1000000000000000000 371778184 223501263 280106618 54707631 1000000000000000000 765816129 1780449 752567015 233194482 1000000000000000000 972434229 759661220 339157368 585316287 1000000000000000000 261915364 69114803 146116508 213769237 1000000000000000000 666332187 301420638 166357251 84930957 1000000000000000000 509125156 399435131 321940245 287990506 1000000000000000000 591229595 83930963 450845489 512429931 1000000000000000000 871464593 541087709 652633900 396467293 1000000000000000000 675352041 564707834 83169471 187938706 1000000000000000000 368782760 232494532 66362823 177475438 1000000000000000000 944373035 316990572 773111362 108684469 1000000000000000000 170495513 125504555 149022992 170374610 1000000000000000000 194947698 152638456 136060442 179593339 1000000000000000000 854543703 482190786 628639438 334901288 1000000000000000000 726739852 431714345 180709053 350688790 1000000000000000000 180076216 87439904 155627601 108747590 1000000000000000000 572119930 96129025 57765117 254925613 1000000000000000000 105109912 35297609 88101238 89410725 1000000000000000000 254489807 70246245 26018802 207325622 1000000000000000000 545273815 298214888 75191719 377274009 1000000000000000000 798667576 344666064 255562103 174158507 1000000000000000000 26958137 18167698 5347801 22634153 1000000000000000000 913541983 480736517 592842792 317761778 1000000000000000000 792238189 638912699 532592557 630961810 1000000000000000000 849034341 545188809 157179286 253362680 1000000000000000000 352493764 179021258 229802454 220961526 1000000000000000000 259673442 9269375 242703869 238989174 1000000000000000000 668499150 166577192 2569158 85085493 1000000000000000000 983378309 974079547 156535043 745722528 1000000000000000000 997334315 47659076 6549831 572553680 1000000000000000000 413152936 194700518 179322541 361701852 1000000000000000000 436195811 411394936 425339800 145240171 1000000000000000000 523299220 13544036 428677569 314884393 1000000000000000000 651212521 197065513 392196084 439785046 1000000000000000000 89919649 966427 25069318 71955669 1000000000000000000 23205206 18022168 13796521 9436946 1000000000000000000 383396383 281041721 147106569 34021737 1000000000000000000 39422221 11176395 1811228 10096408 1000000000000000000 352441166 143986455 49421195 186923606 1000000000000000000 920580399 432777705 781659580 454262948 1000000000000000000 573894342 502765044 539959605 55900022 1000000000000000000 931372613 453393138 296911652 226758987 1000000000000000000 636743404 243641214 389086841 306530049 1000000000000000000 738692515 297265207 123914249 284407289 1000000000000000000 648097783 158225812 299407408 1310584 1000000000000000000 399423182 276555076 41395275 43633302 1000000000000000000 998164423 670701030 910808903 122992167 1000000000000000000 316436316 259088882 256868035 270814316 1000000000000000000 695770009 673313931 87236662 582091040 1000000000000000000 995566773 515619901 513296320 638900125 1000000000000000000 908921373 232328597 62314071 740535064 1000000000000000000 539466681 37814550 310941195 310161484 1000000000000000000 109122860 67920013 63707186 14529405 1000000000000000000 929505707 352527592 853547369 113185209 1000000000000000000 144224460 12237114 50343236 117359213 1000000000000000000 619974036 443065011 98213108 328887855 1000000000000000000 462569303 400514762 162183806 321989315 1000000000000000000 698234250 311454447 69908719 61356807 1000000000000000000 33542124 24030270 1716853 27072562 1000000000000000000 583900686 441989480 3771264 68906599 1000000000000000000 992234992 280290700 761820828 384033005 1000000000000000000 668389130 51688592 105210129 245050917 1000000000000000000 84549142 66268563 54673243 12162636 1000000000000000000 355598309 95393489 256893965 204411384 1000000000000000000 317707357 269015754 224086728 260427692 1000000000000000000 384680258 334364663 5392878 207630555 1000000000000000000 733535016 383280656 652460669 646188523 1000000000000000000 955221743 9210252 484959556 137860680 1000000000000000000 542476837 305041960 359338855 397100748 1000000000000000000 333746825 327131163 160214566 148334632 1000000000000000000 89430751 81881359 30454770 32058189 1000000000000000000 292496588 110881762 239914446 125397326 1000000000000000000 509338422 244920393 335972326 336004991 1000000000000000000 656862437 387518007 308076668 220134910 1000000000000000000 814492661 618855606 291021665 580207519 1000000000000000000 714552037 42626474 420948639 90790396 1000000000000000000 520060554 497519912 321507890 375312608 1000000000000000000 223771660 103523558 121743755 215049511 1000000000000000000 72505056 58486699 35567134 51779063 1000000000000000000 150127539 66939330 10560929 8487591 1000000000000000000 180715478 20366552 49504536 13495407 1000000000000000000 950342890 682148677 473797652 834788016 1000000000000000000 82527080 45668808 80001817 56740075 1000000000000000000 743878242 14587835 311129684 262657514 1000000000000000000 258311942 244542578 252035942 156113120 1000000000000000000 927137660 597530635 241611148 197245887 1000000000000000000 114975599 68132486 67708027 58085309 1000000000000000000 954332067 617676935 704357668 177209601 1000000000000000000 90778861 59641241 54716806 4272209 1000000000000000000 305061004 172463052 227500796 1387787 1000000000000000000 54599981 30554990 29308386 29441651 1000000000000000000 419288742 223272978 188144600 204774747 1000000000000000000 912479349 886488832 102735592 439767442 1000000000000000000 638139228 66040211 603121439 106106714 1000000000000000000 186428129 84509889 155956798 61497839 1000000000000000000 265544322 120080130 148025585 151116875 1000000000000000000 203664866 167153062 14604058 90179067 1000000000000000000 106971586 14423951 98288118 48145852 1000000000000000000 611673492 253526536 438302294 298311504 1000000000000000000 742222065 148078853 704268579 197381699 1000000000000000000 862233105 130856600 530579069 790220444 1000000000000000000 537176268 249838543 329495655 426636232 1000000000000000000 574021919 379823000 107251634 1925654 1000000000000000000 223050290 133497174 185482131 32377879 1000000000000000000 896768637 355199748 181595552 750157146 1000000000000000000 151343974 140426898 68052735 139433936 1000000000000000000 309910776 115625263 105125884 257073050 1000000000000000000 765622792 740903671 582304139 26353799 1000000000000000000 127705881 79542574 120920706 47561560 1000000000000000000 665566136 623092245 221820328 466592670 1000000000000000000 10928586 2691460 1155186 5007038 1000000000000000000 596837972 415289952 532430025 424427681 1000000000000000000 455219792 25713760 124065289 409947867 1000000000000000000 109498000 39647751 106354770 24732765 1000000000000000000 667399985 491270640 366668494 510172658 1000000000000000000 358763215 266625931 106829872 8281724 1000000000000000000 940925580 527141695 771670190 276743194 1000000000000000000 21997215 14913600 18452704 4971788 1000000000000000000 389554966 344762148 333643882 72481116 1000000000000000000 953642457 129937942 953177522 606093128 1000000000000000000 802667798 166025861 790534256 14907935 1000000000000000000 157725207 144300724 66899563 91148833 1000000000000000000 939255635 482567294 303870744 129006178 1000000000000000000 235971593 198977837 106268375 126617905 1000000000000000000 223118443 187166292 221182150 82976523 1000000000000000000 426405111 36154401 106862444 386986738 1000000000000000000 89916265 65752361 29563557 6183341 1000000000000000000 834829931 60102081 465511225 464920686 1000000000000000000 320986772 86718248 289404312 290676295 1000000000000000000 726354364 242562009 688701542 591013930 1000000000000000000 590900142 325571549 204563459 108648151 1000000000000000000 242474290 130846750 111150864 143202770 1000000000000000000 504944590 10889737 149560212 477050683 1000000000000000000 531590007 152331389 401744452 386402302 1000000000000000000 612270068 442376887 198552746 137987535 1000000000000000000 796408910 595717266 258158611 462227985 1000000000000000000 817945426 348939720 329563935 494322875 1000000000000000000 961441230 724438079 439080226 27229273 1000000000000000000 507543084 387328467 187920906 496623044 1000000000000000000 543562760 269336303 349733820 411265767 1000000000000000000 373539261 8994439 10538202 292517653 1000000000000000000 965175043 178005038 866018575 581879098 1000000000000000000 636536697 106539855 566824423 192106242 1000000000000000000 718897469 502898505 24322912 458192505 1000000000000000000 194124527 177691550 20431668 77588776 1000000000000000000 484769814 249687313 2939001 239092511 1000000000000000000 664217058 530655435 226764113 613456829 1000000000000000000 747451602 563598231 28642809 629276863 1000000000000000000 735601650 518842082 99467604 560108059 1000000000000000000 375732899 342100793 220078045 196186913 1000000000000000000 527197364 431717426 429499375 278814298 1000000000000000000 27942679 8791227 17470703 13519617 1000000000000000000 428949953 367439205 327317983 61469910 1000000000000000000 903428119 194040524 335497722 788392223 1000000000000000000 415845807 293499990 70188006 387409332 1000000000000000000 537318168 381196438 366582219 377866611 1000000000000000000 982106586 367221579 435793245 686683938 1000000000000000000 448710334 241793200 130584388 26278264 1000000000000000000 229730444 58202218 183463114 164592515 1000000000000000000 112597548 60685753 13654441 51890218 1000000000000000000 924082999 664958719 349263292 126132791 1000000000000000000 541249546 59333211 38025836 346389489 1000000000000000000 316887406 184300613 48285443 146858155 1000000000000000000 603355669 198325624 559288887 181398417 1000000000000000000 58886425 21029719 34064820 17120460 1000000000000000000 74341248 42793231 9505236 36448548 1000000000000000000 662852546 300558183 33697159 172771186 1000000000000000000 480430368 445119995 80912775 300473970 1000000000000000000 367666962 59119577 253056415 94185414 1000000000000000000 230718193 44429926 204795929 127779525 1000000000000000000 736631567 123588789 302158228 184205534 1000000000000000000 721089434 149531297 500988964 159870967 1000000000000000000 118816975 47658229 106273319 45916566 1000000000000000000 476228310 19287392 49671954 330727426 1000000000000000000 293972979 161425808 46907788 108152612 1000000000000000000 338785738 313496213 3938429 72361196 1000000000000000000 360046987 346132861 109907672 245443893 1000000000000000000 783952182 724673753 660656345 427450787 1000000000000000000 546859600 237133772 433962785 83211205 1000000000000000000 495170428 355899338 327495760 254771118 1000000000000000000 579761640 351632340 410364910 196011443 1000000000000000000 856533530 162686538 792695070 555243537 1000000000000000000 483548836 188368082 8441413 201667900 1000000000000000000 313813999 165873679 134755390 176922482 1000000000000000000 151982818 2483867 13128025 121624585 1000000000000000000 792999353 781880045 175794050 662380585 1000000000000000000 25420646 18227094 2171318 4365463 1000000000000000000 698149572 314300728 67513602 401864964 1000000000000000000 332182716 100299831 179306588 97811291 1000000000000000000 945561026 177220275 922468234 624727685 1000000000000000000 399145380 358189623 127925316 223869709 1000000000000000000 250992721 55833541 162010691 32664091 1000000000000000000 567776953 81664140 164119515 225146660 1000000000000000000 594020207 214545037 534890343 172465848 1000000000000000000 532955894 52525329 135182970 378923194 1000000000000000000 694991474 617128646 575849132 400793644 1000000000000000000 247609538 104632600 120765514 30763402 1000000000000000000 761306698 469838634 704714353 511590558 1000000000000000000 357350120 172557835 204455757 218280570 1000000000000000000 710648318 34128237 648157975 116449447 1000000000000000000 975489950 797890642 543433400 425176867 1000000000000000000 518107606 237455681 122681258 11211762 1000000000000000000 915623817 422930595 200103929 385617385 1000000000000000000 972653686 193443485 630334746 103392269 1000000000000000000 207119578 199069381 50826988 168517938 1000000000000000000 159779995 64004343 32087784 68519632 1000000000000000000 818422062 26863683 159869009 507859362 1000000000000000000 863510504 617572940 84394742 675186624 1000000000000000000 867215292 657115007 104749882 75990623 1000000000000000000 549566678 249027813 490223629 143770198 1000000000000000000 585201407 308519482 204051024 99491304 1000000000000000000 662813420 229747039 534130341 543987479 1000000000000000000 728413050 252965345 338125006 335538922 1000000000000000000 611438697 166384655 7526692 328857765 1000000000000000000 643369553 322510320 352316089 357076062 1000000000000000000 826429832 506095093 613084760 799377532 1000000000000000000 638489751 343378873 463626803 475283800 1000000000000000000 601047009 165245158 370706320 144256619 1000000000000000000 795775565 475854226 62077368 747296202 1000000000000000000 752167010 320187113 595357050 470932230 1000000000000000000 116080495 3387898 114106004 32087862 1000000000000000000 385083920 7580585 64314997 99608030 1000000000000000000 123108768 4674144 19883390 61491840 1000000000000000000 579064632 569622866 120215651 117853503 1000000000000000000 708914860 215183213 585045154 35430265 1000000000000000000 755068775 294711420 241834048 494520670 1000000000000000000 117024628 65122174 18321269 68181593 1000000000000000000 266550711 241949123 40380153 246640392 1000000000000000000 607152497 488406187 1686024 473402121 1000000000000000000 589000318 251416780 35141706 537925781 1000000000000000000 997589623 643972010 55022458 616905450 1000000000000000000 306286930 88060831 188682763 205721995 1000000000000000000 355402638 102364181 268344014 153133568 1000000000000000000 545843304 252310534 196307145 205177770 1000000000000000000 243828984 95715649 178994059 12187330 1000000000000000000 657600994 355339133 88066951 596672421 1000000000000000000 952565151 824040748 436841167 417144203 1000000000000000000 523784548 225940099 472486687 402618642 1000000000000000000 427938891 183898369 354643712 359652622 1000000000000000000 100490949 37240399 29735964 9969093 1000000000000000000 876435681 751388494 154671663 576298351 1000000000000000000 98338868 59397046 77028939 72185860 1000000000000000000 489617726 146922027 206518249 198849587 1000000000000000000 64284199 2478360 59924952 9285141 1000000000000000000 144888659 128551031 15494346 88499630 1000000000000000000 849519316 210381849 251892221 16001439 1000000000000000000 944126639 486353343 220348376 261883745 1000000000000000000 270557146 18134009 165657045 130580341 1000000000000000000 611870465 423951972 375917875 261842416 1000000000000000000 452037849 264064947 324721697 61602544 1000000000000000000 138027884 122684037 122307864 25867351 1000000000000000000 276853682 194406019 145784608 148471456 1000000000000000000 454564158 412184588 411257700 269734258 1000000000000000000 691520527 557087720 8394218 266720584 1000000000000000000 695191524 554646193 588264385 504031395 1000000000000000000 413767505 341997949 141769513 267436033 1000000000000000000 551772070 179732558 417530892 404847328 1000000000000000000 7607587 6160295 4806296 2525113 1000000000000000000 790891105 6092148 784535292 141838325 1000000000000000000 590755073 553274645 465150406 544688536 1000000000000000000 476912117 136586919 88992365 270782452 1000000000000000000 392459567 136683437 307985129 59695975 1000000000000000000 962529339 143989947 35578303 482212732 1000000000000000000 91196354 59987652 52809919 24536434 1000000000000000000 501577448 192440999 499939051 387240527 1000000000000000000 470854013 27812036 196174707 113362899 1000000000000000000 546712070 138171812 64702637 311416111 1000000000000000000 275681805 264855614 124494672 237063155 1000000000000000000 664972807 59138480 301394588 139091783 1000000000000000000 521375464 279443166 518014512 37164985 1000000000000000000 674823743 464302153 529256298 226731409 1000000000000000000 543395616 7638101 130907359 421341249 1000000000000000000 836290122 406042241 392561879 102940629 1000000000000000000 263181252 256364736 212548667 209462609 1000000000000000000 545409486 526604007 475837816 439755684 1000000000000000000 440416102 199884009 321402838 337936197 1000000000000000000 350500191 141350216 195959992 108548815 1000000000000000000 818304135 360935231 473194965 324421798 1000000000000000000 125516496 69567530 6294904 11019793 1000000000000000000 127833702 68878665 15182971 101810408 1000000000000000000 676579190 311429501 419984254 596603240 1000000000000000000 501756505 290236805 134858063 169804047 1000000000000000000 28188036 19032891 23322831 14923579 1000000000000000000 209358219 197811552 52857651 196332374 1000000000000000000 365885989 357063003 46826642 201950391 1000000000000000000 758715906 76374119 412355929 28866000 1000000000000000000 357456988 202778706 278014939 315284093 1000000000000000000 659024593 415222603 555617952 523227642 1000000000000000000 636285644 50632238 576428641 606457996 1000000000000000000 494805877 41621507 127549077 229061230 1000000000000000000 115983939 76646064 22188410 14903179 1000000000000000000 18565321 2621121 14640649 15592385 1000000000000000000 876050637 788018388 596841695 176755656 1000000000000000000 448556762 426107389 101952011 76954691 1000000000000000000 969456071 636645704 850909495 65325214 1000000000000000000 940999708 455411086 793497347 755356663 1000000000000000000 102683741 54305180 38723167 75981341 1000000000000000000 925960957 28048849 130916065 387019567 1000000000000000000 815501538 592390424 226589443 797769955 1000000000000000000 310755836 179849507 256309725 116522798 1000000000000000000 599535685 71518977 422548385 153039077 1000000000000000000 892979570 577842370 57497612 214809908 1000000000000000000 379149110 57485638 250623707 325160090 1000000000000000000 242600214 84708750 42938254 179764877 1000000000000000000 520086553 119444646 234724843 128376216 1000000000000000000 30274850 781518 2567537 6645545 1000000000000000000 888444469 667821134 387009260 193240369 1000000000000000000 556446164 280771607 354441458 331879085 1000000000000000000 731180360 36553967 333995446 627586765 1000000000000000000 182844267 131671169 88109962 49569208 1000000000000000000 499268608 383064318 242814778 84739359 1000000000000000000 569490816 154063872 141420415 271989198 1000000000000000000 276927061 119404826 172647468 32060461 1000000000000000000 592011178 498670818 440823178 358782579 1000000000000000000 434849089 10780811 122638826 85810053 1000000000000000000 186906962 26165365 162502337 33922968 1000000000000000000 304326565 205404813 294541422 75673885 1000000000000000000 780334191 133280347 565925325 65994070 1000000000000000000 571854732 51323107 69972105 271276536 1000000000000000000 640303085 442126045 52194894 289298651 1000000000000000000 562413188 547911374 20706897 407414702 1000000000000000000 476890158 69528209 226267619 271537663 1000000000000000000 239593161 120889686 169863283 189182597 1000000000000000000 797610055 549168171 400216979 15187177 1000000000000000000 874908861 801939890 657130274 702337413 1000000000000000000 421424716 305500527 85456103 286014039 1000000000000000000 433723544 378898867 30899106 91490529 1000000000000000000 91437134 48611502 31939675 72094487 1000000000000000000 67051314 22454069 3259960 33946533 1000000000000000000 941730012 140028817 271326398 170324452 1000000000000000000 589433851 73589670 177483880 427366448 1000000000000000000 732382072 151563716 367334970 723064378 1000000000000000000 85295807 34815293 33516745 81793917 1000000000000000000 312415990 164392421 59841462 17574691 1000000000000000000 786757422 542703341 108580578 182216833 1000000000000000000 778434106 733958274 681035749 672195227 1000000000000000000 869563175 180006475 125532892 82421105 1000000000000000000 136431180 117047520 84538987 130117392 1000000000000000000 348861603 233231573 292825822 269207256 1000000000000000000 833147331 516597862 31188227 491172891 1000000000000000000 949250276 191565568 598450750 746824200 1000000000000000000 609698411 335187953 529942903 90294751 1000000000000000000 275113709 152973187 163730204 103518286 1000000000000000000 530253849 177526288 420288786 401432520 1000000000000000000 439065063 217311897 286734379 333440322 1000000000000000000 867321748 376673851 863125849 631890036 1000000000000000000 512432697 370732764 246137023 287547277 1000000000000000000 934997872 567444455 326692133 44194034 1000000000000000000 795574332 328361603 756508265 551493384 1000000000000000000 527201776 190264070 108960460 157749514 1000000000000000000 592531042 311575638 371631867 390387689 1000000000000000000 467532517 100597707 160353526 212712617 1000000000000000000 285100146 145985358 70068542 189687560 1000000000000000000 821059479 3830826 38113819 427139670 1000000000000000000 111689673 93310012 16795181 36037633 1000000000000000000 857068297 584530626 724131532 616150009 1000000000000000000 952199207 359088931 823519015 595993359 1000000000000000000 260735390 119457756 246676226 178236375 1000000000000000000 409930674 13993701 326609431 279902073 1000000000000000000 179563398 88207849 93401440 117047706 1000000000000000000 431145795 392296194 381035393 274801021 1000000000000000000 495208692 110201794 60363525 389105573 1000000000000000000 471787582 47427531 11782642 393666879 1000000000000000000 222834962 202745608 45879606 212053924 1000000000000000000 867258360 185424348 644804013 37878911 1000000000000000000 23977731 4210471 23490244 10707774 1000000000000000000 946623567 598683219 912869886 12575336 1000000000000000000 661048974 134367369 123693136 371667418 1000000000000000000 602447175 518406558 187863653 556494772 1000000000000000000 75041634 53677190 56527439 30476746 1000000000000000000 23381443 17916646 9970990 18791337 1000000000000000000 305630846 275186097 18273102 284952071 1000000000000000000 205683871 21649292 72157672 87169079 1000000000000000000 454341440 274192010 241946184 15829127 1000000000000000000 336536963 191887915 15421345 295553540 1000000000000000000 274703312 8776540 28431923 260447752 1000000000000000000 623183057 515452859 472814609 144346241 1000000000000000000 218755406 26251546 11460164 4986365 1000000000000000000 726483942 191431861 278174693 327693918 1000000000000000000 957354476 868189405 745825220 584529907 1000000000000000000 234984927 93378737 43517793 192671599 1000000000000000000 503603026 134970474 9708904 400894340 1000000000000000000 971666292 253529169 85194633 118813326 1000000000000000000 488069794 144505734 171921343 244181026 1000000000000000000 311773120 203224475 297322404 3864774 1000000000000000000 318324216 79468168 59062651 140118162 1000000000000000000 779892543 489654629 67427568 141278983 1000000000000000000 341327704 123755113 282834020 225815151 1000000000000000000 149599405 41411491 103180501 19504323 1000000000000000000 652962900 652022080 376840269 251930387 1000000000000000000 138956557 94855608 96673612 3267283 1000000000000000000 497517590 120958043 417713134 86579999 1000000000000000000 999830244 474301868 867569569 814633567 1000000000000000000 76287254 55738331 56593793 58160689 1000000000000000000 65112314 53765172 42495382 64188575 1000000000000000000 129957422 114528260 127759544 35022140 1000000000000000000 625605825 33094647 529159152 7745931 1000000000000000000 560841137 342607960 225269393 356963872 1000000000000000000 646083783 182678594 162997387 458519829 1000000000000000000 709483345 42231389 313787445 527386307 1000000000000000000 567945754 431121816 340749729 371247089 1000000000000000000 740586439 163401734 188167900 21672643 1000000000000000000 913865758 677536915 313131997 24710935 1000000000000000000 189707361 95166189 143480993 158414106 1000000000000000000 663550043 236700552 346276542 432272807 1000000000000000000 56131700 3858367 1793890 29748832 1000000000000000000 423827172 158264370 171751297 218823928 1000000000000000000 637667806 29091915 293262949 327582768 1000000000000000000 203228298 47189438 94074874 87349506 1000000000000000000 508173468 33369080 122964972 68909341 1000000000000000000 535130537 131966754 260676053 16444038 1000000000000000000 666102719 303099800 352028044 220730798 1000000000000000000 831304794 353758653 623736882 176006471 1000000000000000000 749786955 677759019 146314734 364439668 1000000000000000000 168735669 110896824 123733100 32302081 1000000000000000000 783407172 681599242 475685772 122701525 1000000000000000000 246829502 174630901 136030807 171270670 1000000000000000000 776732682 321362646 342895755 86051064 1000000000000000000 582714963 29318869 322302918 222200641 1000000000000000000 425868007 233183980 293161461 357456241 1000000000000000000 639815614 436291664 218957758 360593783 1000000000000000000 906285424 615248114 175217497 336004069 1000000000000000000 518549595 161604086 97322995 6605395 1000000000000000000 992523120 604158393 129349670 255371277 1000000000000000000 391810121 69927419 255332111 1318764 1000000000000000000 674321952 119231943 294437480 38312026 1000000000000000000 981425378 854375928 432341806 930632594 1000000000000000000 978947588 381963952 910697759 429426686 1000000000000000000 612779552 292146495 476800686 370146638 1000000000000000000 593017545 439060014 60207581 121556733 1000000000000000000 766326703 448210959 455965704 650453545 1000000000000000000 561747328 173254714 60681418 475721396 1000000000000000000 566876932 501218167 10525528 72431923 1000000000000000000 862273549 50592565 83922294 319189473 1000000000000000000 776971203 636950223 67970317 581231119 1000000000000000000 688640979 327903935 117637222 368962054 1000000000000000000 881651556 172294102 753549894 632687995 1000000000000000000 576065920 335702831 89977065 49478804 1000000000000000000 29175424 4186262 18399751 4558109 1000000000000000000 235094094 167473765 139559343 180046787 1000000000000000000 475400164 28347543 445829633 333212675 1000000000000000000 754049965 237667536 305977467 23419727 1000000000000000000 684050128 603027388 475881182 154342936 1000000000000000000 841528710 367963720 638607368 610143243 1000000000000000000 884014382 710920105 491570995 96686215 1000000000000000000 490723556 290299902 399690227 26698458 1000000000000000000 79920037 8962425 59314720 76632761 1000000000000000000 865710230 653003851 826614873 378819951 1000000000000000000 168999985 98281281 3003648 26763185 1000000000000000000 301259671 54882894 249441806 16279998 1000000000000000000 288235836 254696347 77534302 78668485 1000000000000000000 308131629 14993567 130519414 186704491 1000000000000000000 140895189 32995701 31180807 75559961 1000000000000000000 379976723 317990002 164607427 91256588 1000000000000000000 320146954 288299431 266869845 116008446 1000000000000000000 386233183 206361896 268750847 178483108 1000000000000000000 91662295 22630591 39416257 53544693 1000000000000000000 472970995 310080090 366127896 210122378 1000000000000000000 832015118 592843959 661638729 554490764 1000000000000000000 532882559 9985069 128949490 329825137 1000000000000000000 293741369 175057031 182961442 108248410 1000000000000000000 374368930 249353825 62963832 324935584 1000000000000000000 774853967 59290839 343462900 192548019 1000000000000000000 279835978 206425589 238287465 237876605 1000000000000000000 586113112 233695121 202246286 148092763 1000000000000000000 21662764 4502924 12186812 13098243 1000000000000000000 870379621 527625265 834807592 438527402 1000000000000000000 481362516 287731680 336382156 387062726 1000000000000000000 740624545 92291139 45986549 721753515 1000000000000000000 145647553 105895299 99019952 1230192 1000000000000000000 169658901 155162720 148948159 50507776 1000000000000000000 368275126 295703865 10635354 363916970 1000000000000000000 944622735 289012914 710384195 397068368 1000000000000000000 162472505 21061738 98100196 37352099 1000000000000000000 870305386 392713950 834795886 455148070 1000000000000000000 98420490 19925342 5942931 9424137 1000000000000000000 874852741 159931596 700104130 423437568 1000000000000000000 270528026 84254962 77331542 244597727 1000000000000000000 296122995 92817585 207335357 22886456 1000000000000000000 391345297 266964375 167524546 113265315 1000000000000000000 590150957 129568832 491622070 322037473 1000000000000000000 92065766 21852830 76183241 10480989 1000000000000000000 918477941 782793901 93032062 509066606 1000000000000000000 470422754 174721382 161139949 176485999 1000000000000000000 285094469 173815849 227251188 189687715 1000000000000000000 994490876 230604583 356022294 805834953 1000000000000000000 345170260 98537541 97535118 192706791 1000000000000000000 899089584 885322448 588162102 648433795 1000000000000000000 319658187 185052669 287099142 157259276 1000000000000000000 510849623 227231770 457572118 244362552 1000000000000000000 34194931 24761096 7560763 19688579 1000000000000000000 183457654 153262092 33229703 123233407 1000000000000000000 645188239 156735410 597089714 340802785 1000000000000000000 590559556 120543470 420262388 325507071 1000000000000000000 975002555 904846716 208938761 258995193 1000000000000000000 920337767 347378546 552948602 872841162 1000000000000000000 804530451 414204152 175361441 58912715 1000000000000000000 671991854 461135564 247610086 628948644 1000000000000000000 749355354 728832255 159550739 275440485 1000000000000000000 119158137 18880879 42300492 93660854 1000000000000000000 885706798 507858648 359313558 308726690 1000000000000000000 598672972 345219916 463044546 343243932 1000000000000000000 24322466 16553838 16943845 8856581 1000000000000000000 926376060 192360866 478890358 747551654 1000000000000000000 135546197 108894847 82484967 10069462 1000000000000000000 933896314 491135071 341129583 755344579 1000000000000000000 414673825 203282470 59282192 53207726 1000000000000000000 1166134 153206 946825 186793 1000000000000000000 159473474 93097472 95193881 83520912 1000000000000000000 956708130 497668833 894734338 848936936 1000000000000000000 135673753 128949409 47440519 49101215 1000000000000000000 332253924 239592280 149934842 119069602 1000000000000000000 593956098 162878410 309044999 410264994 1000000000000000000 665564159 350903679 93299946 328565052 1000000000000000000 846881919 357779480 564411867 13894575 1000000000000000000 983369365 732516162 853607746 600599658 1000000000000000000 738224242 389292618 724346378 388315153 1000000000000000000 233164299 77970803 116536752 204897441 1000000000000000000 858664501 577662559 231315109 622000562 1000000000000000000 779733604 334035254 520254848 446655357 1000000000000000000 27516400 16802889 17821982 25361239 1000000000000000000 200744229 112862434 94990622 122373988 1000000000000000000 991172469 709461659 419573494 826472844 1000000000000000000 909788815 127966293 415553609 332590 1000000000000000000 700041892 255005671 262762123 555576511 1000000000000000000 884219480 843154857 767051117 752313626 1000000000000000000 473241900 395416301 326850537 207647165 1000000000000000000 710056425 382583116 478636164 250013723 1000000000000000000 821503049 37331936 790544567 431129461 1000000000000000000 220571782 56306543 208456870 133025918 1000000000000000000 355089836 319984453 111287639 258939176 1000000000000000000 509635255 173152346 447117940 337391460 1000000000000000000 362117328 282795333 100164870 343752938 1000000000000000000 167134788 91276940 64017805 21397108 1000000000000000000 730735972 417797226 687528514 298398591 1000000000000000000 405760391 335643434 216858130 11265550 1000000000000000000 942088501 484465528 280202848 939871356 1000000000000000000 425389335 234586197 272841908 33103939 1000000000000000000 691039328 482067987 502461729 117558949 1000000000000000000 597411975 311879356 83910909 537616716 1000000000000000000 787575532 636890930 174806138 106168933 1000000000000000000 777114453 365072838 503877334 500217135 1000000000000000000 611624256 268837438 244910993 88802687 1000000000000000000 763380804 35049517 631124311 136624362 1000000000000000000 714848895 543883037 663665499 270389435 1000000000000000000 655225319 309912915 572561246 308840204 1000000000000000000 110897685 67272163 67573843 81801918 1000000000000000000 304182556 112541913 9569565 246726521 1000000000000000000 476992929 214126658 253528259 9670901 1000000000000000000 255611821 195787605 63833071 46700864 1000000000000000000 132085640 69977501 55045840 57783671 1000000000000000000 678121154 271918775 307357196 265942508 1000000000000000000 308468118 27180430 281067 78782072 1000000000000000000 763251254 395620743 465619178 463423970 1000000000000000000 502115045 400523484 451546336 130185038 1000000000000000000 735624987 623917069 3345563 463894585 1000000000000000000 491172448 199331478 56583490 253721564 1000000000000000000 698648842 604407281 654121951 350594649 1000000000000000000 975731197 665827234 796883217 726812274 1000000000000000000 87208544 81822605 13448077 33465958 1000000000000000000 682178457 542780461 424260871 651242132 1000000000000000000 983341727 508735939 544342560 536514584 1000000000000000000 709537551 690843831 407984196 242414318 1000000000000000000 860446152 776276208 817428656 452708696 1000000000000000000 532661157 349049608 79311695 44099475 1000000000000000000 398826629 359001911 101907022 231481676 1000000000000000000 564863460 534631082 525105051 25028236 1000000000000000000 378877071 187898890 112386217 251173776 1000000000000000000 646761505 15469483 242760180 474540002 1000000000000000000 259780937 184171167 81493841 136617145 1000000000000000000 475933813 4842759 379255989 442883667 1000000000000000000 281093028 46028526 132584042 265798622 1000000000000000000 212183286 170375914 26055337 167914586 1000000000000000000 573710080 239840436 269068453 389554098 1000000000000000000 210682370 175063565 23465267 112897676 1000000000000000000 682804571 236030957 26120207 155875830 1000000000000000000 59070124 12074940 19074416 15513046 1000000000000000000 518311698 216150390 430570656 408275256 1000000000000000000 255688720 178812105 24242881 233867502 1000000000000000000 671643169 645320607 222279436 486685767 1000000000000000000 548613642 25808111 399824342 198517663 1000000000000000000 645659017 39631521 289080716 627205087 1000000000000000000 666069429 231987983 388864095 317527929 1000000000000000000 526177311 177675786 511854761 407971819 1000000000000000000 88913061 74947770 41605612 73046584 1000000000000000000 94054974 38776852 67981041 23019945 1000000000000000000 582280425 497796525 506800733 359503760 1000000000000000000 133464143 44747528 73084019 36877074 1000000000000000000 287543994 75520268 215249305 240425272 1000000000000000000 319015472 57009052 136787861 241210756 1000000000000000000 932940375 870957374 470159240 666712423 1000000000000000000 714800331 561899412 583803035 307861485 1000000000000000000 930350019 231479028 278842075 420922546 1000000000000000000 579855725 519203602 84825494 242369574 1000000000000000000 806267313 67410228 42686197 111306715 1000000000000000000 427220302 81670781 77377002 79212457 1000000000000000000 312172879 56694837 190451854 219956408 1000000000000000000 879999955 850603320 105287106 9559712 1000000000000000000 79734754 29859218 40268517 5916620 1000000000000000000 181669098 54403361 173573112 116825484 1000000000000000000 684525383 118093920 315778665 71337125 1000000000000000000 704726454 238125618 390207808 101675429 1000000000000000000 911586983 71603601 827196391 321404063 1000000000000000000 708335757 474252599 173071805 604889081 1000000000000000000 50955588 20128050 15720196 15221448 1000000000000000000 668146375 624827945 560513310 425752376 1000000000000000000 741163539 18689406 381301343 557739403 1000000000000000000 763917483 399433237 129658594 294280671 1000000000000000000 165996257 24706350 95745616 117678044 1000000000000000000 161060572 109395340 54674954 457335 1000000000000000000 219033975 93730594 125166391 16271656 1000000000000000000 301049760 185893183 209316932 62420875 1000000000000000000 701936398 218965862 371566396 248452290 1000000000000000000 415589564 79500749 366120145 283485626 1000000000000000000 147531803 17780961 3823287 1204844 1000000000000000000 578993927 508493180 577322672 397856864 1000000000000000000 989747882 725938993 937392752 578345062 1000000000000000000 209241121 165420069 61039418 176187295 1000000000000000000 859705477 559708058 3748488 107972782 1000000000000000000 48126771 15399910 35965985 10993254 1000000000000000000 178199804 118570250 46187740 178194363 1000000000000000000 204272440 135949028 186557946 200409303 1000000000000000000 279931021 256564360 216997876 56380457 1000000000000000000 666446191 17357219 103632850 417339446 1000000000000000000 555584529 319208559 337400666 212292452 1000000000000000000 566116880 441245717 158772116 435324919 1000000000000000000 452464546 402545436 438581358 434270818 1000000000000000000 429467141 297822290 273207611 120261022 1000000000000000000 462483957 183695932 451493839 239278656 1000000000000000000 655626201 363715135 103366830 450220097 1000000000000000000 316315524 205494746 221719530 234388344 1000000000000000000 659803821 75047455 346451232 128124212 1000000000000000000 902507702 411610429 489483648 415201823 1000000000000000000 727281542 328278849 442756255 569654791 1000000000000000000 644597923 108743293 345152388 24546253 1000000000000000000 471489906 337414876 443084641 448485092 1000000000000000000 734942108 90619643 155134033 671547991 1000000000000000000 33137454 30341327 12254030 13643710 1000000000000000000 996825879 786031613 639214270 369027265 1000000000000000000 579672246 511035977 273126318 367284469 1000000000000000000 832517623 547500781 195980300 685173521 1000000000000000000 317748568 21029856 115421628 93532791 1000000000000000000 561524069 398739073 8782428 119369669 1000000000000000000 32974926 32200 31160025 8344112 1000000000000000000 660543934 638507605 372645044 593599582 1000000000000000000 429587394 63437183 6751619 45933320 1000000000000000000 510192601 59462075 20159914 138365124 1000000000000000000 492977484 116920356 285244855 431217042 1000000000000000000 593512620 325237690 72720616 518548975 1000000000000000000 620114063 382957392 501069770 251945793 1000000000000000000 2895689 2632961 2050558 2862854 1000000000000000000 35427476 21796229 9114933 19497380 1000000000000000000 668146322 39191110 363768641 3474897 1000000000000000000 360273205 112840264 349864052 348522709 1000000000000000000 340584417 312549609 327062481 226969210 1000000000000000000 438043460 171879005 186685846 371362545 1000000000000000000 696552917 344722135 312489704 529373362 1000000000000000000 894969772 699739271 607083660 118937304 1000000000000000000 481503360 480574087 398791054 192053401 1000000000000000000 290969003 259979784 73491747 73235045 1000000000000000000 8437503 2823422 6593926 6238049 1000000000000000000 357871625 234108736 25713822 256662907 1000000000000000000 731308818 480448212 538744519 452116981 1000000000000000000 49327481 18457469 1202815 27178783 1000000000000000000 788497609 567651448 154926666 287788568 1000000000000000000 915754328 712121420 92516997 143772478 1000000000000000000 452819941 110680991 136022484 159417621 1000000000000000000 388146425 305965558 74890149 371989821 1000000000000000000 979172468 98609661 611119014 504706403 1000000000000000000 849691899 133263129 53642042 12391779 1000000000000000000 540050725 118061598 264425299 121187292 1000000000000000000 571581144 243972503 42373699 387487007 1000000000000000000 579380184 373203213 572892123 76107308 1000000000000000000 835462222 197686461 828216026 421042051 1000000000000000000 609480242 447003857 6439033 298637206 1000000000000000000 329017936 171199737 58249647 200442548 1000000000000000000 103425584 51427430 87330680 38655377 1000000000000000000 681079880 158306238 359087566 349115622 1000000000000000000 8476072 7502885 831477 7741302 1000000000000000000 423323076 69346374 286087305 336817227 1000000000000000000 163867500 90178511 43007749 97202686 1000000000000000000 470166378 41854169 37497633 84547633 1000000000000000000 865446132 237791416 687790536 620716325 1000000000000000000 828536078 351885059 315056910 301988698 1000000000000000000 414386728 78940510 389140262 245648818 1000000000000000000 44804319 37811013 28724439 7856836 1000000000000000000 628406205 241454411 274888219 487022134 1000000000000000000 166293867 74091131 47119345 128197977 1000000000000000000 894799938 209610239 574468942 762007096 1000000000000000000 39693280 7975677 31764240 14411366 1000000000000000000 379831403 19923240 19283918 58792727 1000000000000000000 657405241 39077769 19632249 649704486 1000000000000000000 954595713 778192557 354387838 799563519 1000000000000000000 132196819 87747208 112298625 15195819 1000000000000000000 191205681 120471003 32224292 88618729 1000000000000000000 879191221 242729856 192863924 282645049 1000000000000000000 320599493 118631980 35801502 49435893 1000000000000000000 544476512 154545623 441556042 403110596 1000000000000000000 184836833 33135593 167305851 10736254 1000000000000000000 676759302 86106371 52030721 18970422 1000000000000000000 921327832 372642967 699539495 458520090 1000000000000000000 340620321 86902075 334471059 173229164 1000000000000000000 706090001 261229332 350057432 150013149 1000000000000000000 464028805 80436638 85234420 117967534 1000000000000000000 581532408 523878593 192807250 437793566 1000000000000000000 172507980 134152351 18825292 40512590 1000000000000000000 312035401 471788 293454662 205544605 1000000000000000000 336575842 191529642 222319374 45494453 1000000000000000000 489355436 237250021 335007158 214615069 1000000000000000000 314609315 50313631 66474907 272504360 1000000000000000000 147857734 122239337 83861029 111670707 1000000000000000000 197934234 150683371 180359663 46570305 1000000000000000000 847968272 824987701 55726125 451899780 1000000000000000000 614928716 607323907 8395860 460266239 1000000000000000000 806060261 281071048 312916168 8538258 1000000000000000000 669895164 339162541 492388670 508551028 1000000000000000000 839429028 79834345 604928225 137552724 1000000000000000000 496191616 278379666 283400787 204981784 1000000000000000000 106245461 71580913 82001708 101954512 1000000000000000000 84213907 13106192 13913417 26820989 1000000000000000000 114070303 98142538 48201331 14278975 1000000000000000000 115048055 41564434 112624923 9991534 1000000000000000000 586184522 440705524 547519736 551046669 1000000000000000000 964415342 731223871 549719335 757057334 1000000000000000000 19795441 17680055 15248625 15779731 1000000000000000000 734830695 664753110 517376124 214141035 1000000000000000000 544595633 542548980 351740718 359055460 1000000000000000000 814955387 98331136 552528827 118951979 1000000000000000000 39431465 38929731 24608634 2594892 1000000000000000000 329163058 188879793 55005979 134953055 1000000000000000000 976782327 827476499 515357432 665992387 1000000000000000000 376907712 7848025 201142122 104810576 1000000000000000000 693432 36473 402392 169754 1000000000000000000 661386622 652422907 294051893 384593683 1000000000000000000 520670998 155246506 115583456 44602927 1000000000000000000 605319129 50533207 262420361 274416732 1000000000000000000 562156556 312801298 30939066 266992172 1000000000000000000 628608387 443407668 427262502 114873915 1000000000000000000 932790066 75854020 676728305 186350980 1000000000000000000 275335376 9630051 27066009 7074926 1000000000000000000 993823248 848495247 482152144 456298294 1000000000000000000 742633025 338780456 173846342 580592546 1000000000000000000 537698066 218757719 243928474 495792219 1000000000000000000 540191748 272385041 215339005 226346614 1000000000000000000 938730636 476476406 407282678 86784503 1000000000000000000 915235095 570046873 659188533 11872202 1000000000000000000 663498415 596792781 511051999 143351859 1000000000000000000 647384995 76720009 626625297 577948662 1000000000000000000 53138207 1957455 23439844 2216867 1000000000000000000 729857521 7560902 270640335 151940855 1000000000000000000 672805929 282440339 321654386 504418283 1000000000000000000 510938096 286995249 407886794 245086344 1000000000000000000 57147459 39226529 40909227 29932455 1000000000000000000 535162236 287012869 414805581 67031553 1000000000000000000 16750264 1120244 2184775 12108114 1000000000000000000 947683667 332125594 337254171 543685892 1000000000000000000 728672799 201345646 466269325 231630174 1000000000000000000 472246744 189203087 409507391 364414360 1000000000000000000 446544845 269932120 430781093 171621534 1000000000000000000 580641666 564752761 240492713 413109696 1000000000000000000 602811730 415853010 354385424 596044628 1000000000000000000 3470051 3419675 1993443 3224077 1000000000000000000 427961924 288034489 350573783 83040986 1000000000000000000 200427673 60804560 65119302 59523324 1000000000000000000 567419295 136648597 259458197 19570899 1000000000000000000 779060531 330700249 719779334 355328392 1000000000000000000 994963678 739752541 931856162 669430934 1000000000000000000 216562963 129289098 43032964 152804228 1000000000000000000 755718438 634725048 114628317 230079378 1000000000000000000 427297315 118148312 206378970 221057133 1000000000000000000 694321336 623672010 444743322 410665314 1000000000000000000 165879147 165054199 91478175 14153726 1000000000000000000 378857583 105431131 98738271 322869796 1000000000000000000 565673501 323427091 234604630 252581578 1000000000000000000 467800352 245622411 407775587 342049209 1000000000000000000 551217546 299553717 442946313 121279381 1000000000000000000 737860661 259064919 537846334 365979952 1000000000000000000 432170863 199609394 308198487 198695087 1000000000000000000 353939797 279565677 176093134 185937473 1000000000000000000 86764787 23496575 16410680 81764330 1000000000000000000 377899716 349613241 350792959 168350430 1000000000000000000 487994054 21427763 195971214 91847715 1000000000000000000 869380737 249267359 298514145 428201593 1000000000000000000 724946140 413548443 372631777 255833562 1000000000000000000 595245116 61104720 230325017 202761142 1000000000000000000 253924393 88623216 99580526 243028899 1000000000000000000 830724309 649744913 195182500 368254505 1000000000000000000 95904465 43269035 20615442 58649661 1000000000000000000 415910530 45334909 190191310 234369538 1000000000000000000 675999536 24126079 273755510 567732556 1000000000000000000 920709869 443371439 635844885 302687020 1000000000000000000 857011743 847940265 738321499 266322890 1000000000000000000 567237124 18771399 365291520 519714541 1000000000000000000 373569053 151225837 333326311 238455604 1000000000000000000 761395966 253154218 107140745 413057775 1000000000000000000 29822051 14265945 2995459 19600048 1000000000000000000 177487547 31832543 163241467 141982822 1000000000000000000 919333243 796828996 713485206 853268455 1000000000000000000 244926134 7878670 230397281 167176197 1000000000000000000 478955336 454686770 58433374 269222017 1000000000000000000 124786864 76507086 56120305 90145204 1000000000000000000 104113872 7203955 85206058 39842677 1000000000000000000 736985274 581142449 174241810 609177277 1000000000000000000 792735398 544079594 719284020 504182704 1000000000000000000 361893592 17635881 14875096 357845523 1000000000000000000 218529373 208257025 32016688 108132124 1000000000000000000 607493999 197163872 338814925 258533704 1000000000000000000 342708914 132277882 66042380 296085535 1000000000000000000 923020558 596422754 332609399 333258559 1000000000000000000 269074976 105602058 267593253 67826505 1000000000000000000 447540321 286960473 212514116 314665602 1000000000000000000 647444685 253332588 262589303 616069189 1000000000000000000 352866850 127840287 181549222 84569246 1000000000000000000 981545768 434127716 571592512 201003742 1000000000000000000 311789279 199232836 157839772 47722280 1000000000000000000 505148531 245738012 299021365 217871406 1000000000000000000 375565966 334605744 168214532 201400322 1000000000000000000 23000577 14461910 9560494 19481089 1000000000000000000 254688641 98968416 61625208 91592548 1000000000000000000 17947656 8370417 423843 6034383 1000000000000000000 950596827 903012812 702692351 850826870 1000000000000000000 813575459 584240885 717422112 614154811 1000000000000000000 369534391 120935884 275545427 323970606 1000000000000000000 875749263 126613744 505986252 280125688 1000000000000000000 209715925 192282639 46972518 78233169 1000000000000000000 378670841 370603984 329258252 235186744 1000000000000000000 856522519 704145212 340651305 331374456 1000000000000000000 521571903 125785463 410193009 183724833 1000000000000000000 712057873 198814174 264470865 152207846 1000000000000000000 396844960 354159407 14237010 245700043 1000000000000000000 745074281 600542999 618568037 4007597 1000000000000000000 266629021 12671190 83236666 86696682 1000000000000000000 360033634 307158010 135956926 75518988 1000000000000000000 155358736 47409507 25018572 112329057 1000000000000000000 925670958 916674373 887432177 245312036 1000000000000000000 971524445 832630000 361487300 586994935 1000000000000000000 533377807 442776282 444443979 202760300 1000000000000000000 503933637 42733057 340512735 432774698 1000000000000000000 896485824 251572628 659461733 333213268 1000000000000000000 915891020 823641090 804919678 354204054 1000000000000000000 788221624 294635402 28199679 2542016 1000000000000000000 204374220 203456783 93601896 132648974 1000000000000000000 357431203 135951350 137310602 103030992 1000000000000000000 793074898 588256240 690093447 594250349 1000000000000000000 614615275 23329040 201640920 362311458 1000000000000000000 632192702 62140171 483746667 385147489 1000000000000000000 848374927 651294309 190394433 620558913 1000000000000000000 372981500 112587609 370454523 317175203 1000000000000000000 430562412 414729260 289975184 296183446 1000000000000000000 893424324 456672654 710541661 274263998 1000000000000000000 53200676 45918024 28125363 46347140 1000000000000000000 177414398 49789146 167314587 51359965 1000000000000000000 320210565 40205950 55660924 238453786 1000000000000000000 750657135 429956843 665427183 253220703 1000000000000000000 720348189 380785551 111428437 717328439 1000000000000000000 217719154 36121866 86949151 116709128 1000000000000000000 237047921 89670067 106258358 216508463 1000000000000000000 284271363 192409946 137092524 277341780 1000000000000000000 843379337 45909364 352190451 259686378 1000000000000000000 268381573 87239197 236991396 110402389 1000000000000000000 234548565 87962521 193439135 85227046 1000000000000000000 669759253 453992654 431351924 546733500 1000000000000000000 33514562 28098458 4531633 13611822 1000000000000000000 769292012 764467487 241655336 160442753 1000000000000000000 290298946 210903821 179329232 103312610 1000000000000000000 98617891 12258556 23443834 42309590 1000000000000000000 596030789 517850035 91955979 377649758 1000000000000000000 654927393 264813288 450598481 344922787 1000000000000000000 365262863 151770224 228153938 183836001 1000000000000000000 197567022 192476482 158923440 107799826 1000000000000000000 83400297 24006816 21275268 83303712 1000000000000000000 890123110 641900428 346072198 553678529 1000000000000000000 165676389 17542281 119673800 72711111 1000000000000000000 980601138 419819132 612811245 199793544 1000000000000000000 109522761 50876813 50333056 50948835 1000000000000000000 520151895 220650750 321394798 167744086 1000000000000000000 53438741 23530290 29005426 46545372 1000000000000000000 449712893 311465770 284183782 181623084 1000000000000000000 300285977 83290509 285668291 284421591 1000000000000000000 820901203 688443095 240927587 749344875 1000000000000000000 195560682 178818258 174943817 66853094 1000000000000000000 852678251 766779662 381600911 90467442 1000000000000000000 173302230 47363990 54731046 159329755 1000000000000000000 784966363 154994070 271288485 506065834 1000000000000000000 853390117 398714767 692495342 629399268 1000000000000000000 530056614 524266339 116257476 331833389 1000000000000000000 730531178 251752830 560466808 591430599 1000000000000000000 14708303 7708456 5767922 6120968 1000000000000000000 688350422 412612925 416067238 345172426 1000000000000000000 373807683 78967106 253473765 273328774 1000000000000000000 393323799 363668747 34841749 108504736 1000000000000000000 613360102 498853544 418501802 199853301 1000000000000000000 387325163 383370075 230295388 248924581 1000000000000000000 68369254 24795262 60981275 26955415 1000000000000000000 753141544 734095557 728091161 360046673 1000000000000000000 357803301 181539990 175646961 257853875 1000000000000000000 767493295 238821739 156018104 538892526 1000000000000000000 371041275 337982415 42011767 3461864 1000000000000000000 784676687 599561488 691761579 224993473 1000000000000000000 6586619 3438541 5092805 111946 1000000000000000000 321858233 233473025 179219367 174555432 1000000000000000000 829536530 469871340 100509714 226112338 1000000000000000000 89765311 87483005 18448536 62058516 1000000000000000000 166733595 51519371 62544668 160953800 1000000000000000000 439175361 254047362 120168056 314646829 1000000000000000000 659885069 374614655 558233957 576024568 1000000000000000000 908865522 660745834 763780580 9289807 1000000000000000000 158823068 3331810 17955728 23171307 1000000000000000000 795724961 398990287 15679326 163607418 1000000000000000000 576472006 228846902 159670959 238058625 1000000000000000000 57359611 8239528 57094694 567055 1000000000000000000 806546353 706084935 483774187 385421914 1000000000000000000 803728129 123290508 638678490 366711268 1000000000000000000 970793014 184061732 338547769 714176251 1000000000000000000 652994911 538391481 269723111 34032154 1000000000000000000 333685982 263663040 264281579 81935881 1000000000000000000 882066436 717904382 771692274 664386360 1000000000000000000 666682668 347709625 423366888 494384421 1000000000000000000 936119062 233526278 533378717 448493349 1000000000000000000 572063041 417040028 200448303 125465412 1000000000000000000 733317583 282919251 92575649 584158449 1000000000000000000 81380199 49443284 65112869 18613638 1000000000000000000 465263216 81226586 82734182 346772655 1000000000000000000 798889569 350771934 339736325 527841630 1000000000000000000 235404754 75623515 25956806 18031536 1000000000000000000 181589560 111135427 5892481 19098794 1000000000000000000 864210017 691367259 502930148 153795668 1000000000000000000 681646855 83611947 323081402 618301003 1000000000000000000 426204532 322465499 40401987 2413636 1000000000000000000 509211989 476088671 344977837 118029680 1000000000000000000 137655489 72641265 10838582 88181750 1000000000000000000 991040379 3779058 438317516 156508358 1000000000000000000 781682375 223923900 246412738 229178424 1000000000000000000 160913951 125780925 96820059 72080469 1000000000000000000 19141568 3792294 9456863 16124595 1000000000000000000 675250359 113162830 121606713 332383106 1000000000000000000 571907890 90439637 541592589 170564237 1000000000000000000 34017539 2283941 18448461 12180365 1000000000000000000 434617527 66484061 226334887 161897297 1000000000000000000 921623731 562052353 747904577 850373960 1000000000000000000 377875444 249267680 36588002 90942322 1000000000000000000 37901011 27166089 27874575 37232718 1000000000000000000 501564060 142140736 98228280 432322338 1000000000000000000 342672818 40745660 225230474 137717908 1000000000000000000 224744831 106600975 178711901 50613243 1000000000000000000 176100489 135173441 113052032 25244088 1000000000000000000 21108779 20023142 18586208 6376721 1000000000000000000 636026678 54601207 160066503 25579480 1000000000000000000 55756485 35526439 17668482 45186137 1000000000000000000 622377298 272596991 571946331 63825369 1000000000000000000 408230379 272131480 330103265 332311368 1000000000000000000 958623744 168717729 185889236 605007336 1000000000000000000 873961081 803654039 68729887 567384840 1000000000000000000 932930911 930827038 406320304 903543062 1000000000000000000 973737288 943266852 264882506 387795508 1000000000000000000 546362951 432551003 271257440 144111905 1000000000000000000 813490942 540402161 810549513 620871880 1000000000000000000 60398932 48328313 25351561 20334715 1000000000000000000 21697498 20747935 21209328 9974020 1000000000000000000 137818747 72876838 1192568 108064836 1000000000000000000 574549140 219782047 491230882 85238174 1000000000000000000 776031138 192589167 392307457 774571833 1000000000000000000 375088704 173902491 150916562 98512853 1000000000000000000 428297168 97910581 323474605 304713334 1000000000000000000 770316291 405188572 651948875 490564281 1000000000000000000 906392674 155260537 533661952 580810114 1000000000000000000 106795585 63054679 21447987 104509343 1000000000000000000 746515919 493378343 181620114 56387304 1000000000000000000 102214804 46328695 18374469 53727276 1000000000000000000 407632823 46527881 188304935 197940156 1000000000000000000 93814014 91493585 55910907 68717371 1000000000000000000 258968155 254199075 119073508 159567303 1000000000000000000 728681366 277236669 264773491 354844219 1000000000000000000 697051200 510618173 624465968 40956577 1000000000000000000 228065412 31374983 80092064 155593219 1000000000000000000 629875836 209276623 593872094 217649028 1000000000000000000 789967076 583620413 738920294 166576682 1000000000000000000 659349795 238826477 177711575 49350811 1000000000000000000 704187729 459965410 587916517 157597708 1000000000000000000 353223743 96349011 331746057 92168371 1000000000000000000 382760841 235236721 101811260 279967491 1000000000000000000 368029475 275049014 173760680 110184471 1000000000000000000 471475957 140293106 451095852 221556356 1000000000000000000 909250848 598133733 273767716 765800556 1000000000000000000 139558088 138824751 110171931 17333807 1000000000000000000 296721106 56590365 9274506 68662728 1000000000000000000 333407732 81579155 44022970 157047052 1000000000000000000 862938162 209662850 526767857 797916684 1000000000000000000 537741271 396209165 221274673 145758675 1000000000000000000 231217042 155378054 168836276 135707824 1000000000000000000 59270128 47997784 47987556 13394849 1000000000000000000 679283209 185047149 297053593 612557342 1000000000000000000 852057955 622151586 179304048 437479559 1000000000000000000 22046238 12402164 6577011 2640412 1000000000000000000 568515703 254108911 184972965 1822937 1000000000000000000 142704051 75992405 54061986 16824467 1000000000000000000 577091625 84188313 552250386 27089629 1000000000000000000 300648804 67463498 30211488 289865659 1000000000000000000 281813436 176670870 24717550 281735607 1000000000000000000 583276557 390813629 569998065 535477804 1000000000000000000 432606325 366663665 172475110 420259945 1000000000000000000 584831193 239843590 439362464 133018698 1000000000000000000 316334727 154502250 166936577 169138928 1000000000000000000 761675584 256334667 184640709 517966451 1000000000000000000 657536837 644281707 277774643 45361804 1000000000000000000 631956716 151570656 95446105 362506764 1000000000000000000 377145150 374317698 203070911 111261694 1000000000000000000 255785349 122575030 1704452 63184452 1000000000000000000 220248232 136422711 91695499 86161282 1000000000000000000 934231035 700631555 344697910 806251527 1000000000000000000 191914596 92509112 133675497 8012608 1000000000000000000 350785363 319122607 181272456 62155446 1000000000000000000 893998792 7595100 24937186 475778231 1000000000000000000 350872258 217115494 80591744 21454851 1000000000000000000 510712957 24017327 300522790 137692409 1000000000000000000 549183678 395419001 465043538 111176853 1000000000000000000 278195201 264407418 28836648 245233175 1000000000000000000 236165026 123986667 214640237 148712912 1000000000000000000 660798958 319452801 310210767 551622716 1000000000000000000 885242356 221139752 427980355 152618308 1000000000000000000 752802194 542380723 353987051 272108687 1000000000000000000 543856135 36394705 195140939 308739715 1000000000000000000 270873217 182603647 243268760 267298624 1000000000000000000 531680078 240478543 421675800 77851165 1000000000000000000 155775669 20720910 70401559 81140078 1000000000000000000 644253608 115790262 545142453 115533738 1000000000000000000 338387032 335165742 173600031 269709187 1000000000000000000 966126673 89921969 515581094 120999302 1000000000000000000 585418210 554377286 307644744 163665884 1000000000000000000 514355927 22023567 66728681 462001893 1000000000000000000 683134859 52375946 605228915 266012645 1000000000000000000 416478030 79564288 357164078 280763454 1000000000000000000 334121448 166463173 324948006 213564294 1000000000000000000 665736217 598156866 155761597 494099364 1000000000000000000 301134219 263334195 226435794 219455544 1000000000000000000 644936127 480805801 86146020 168972968 1000000000000000000 583045085 5110403 115957869 503024764 1000000000000000000 606223683 378652764 603336374 240973244 1000000000000000000 339232863 50883347 20098203 331344282 1000000000000000000 429509560 350483156 154228460 182163217 1000000000000000000 164478987 5588227 73875427 84396450 1000000000000000000 271014186 207714708 226420950 189051567 1000000000000000000 82556118 28952357 47927137 66533547 1000000000000000000 596771282 544498603 434243479 256286452 1000000000000000000 918649506 30825411 806077326 805838864 1000000000000000000 370889972 33188935 138875531 115628621 1000000000000000000 242438685 185461043 151554375 46000386 1000000000000000000 140270757 36978788 25897758 137707828 1000000000000000000 629995612 431684641 201599100 358693409 1000000000000000000 30111347 20048379 28154942 9349745 1000000000000000000 908722304 301966396 626384157 859491016 1000000000000000000 975143886 825169184 457394181 800225036 1000000000000000000 640284473 10898122 533287086 195736565 1000000000000000000 540388813 413168111 357214698 341681963 1000000000000000000 31666717 4630470 8128290 8492022 1000000000000000000 342193123 195209928 2091846 40107302 1000000000000000000 171373706 34329492 30507307 17818003 1000000000000000000 240804077 5628898 239738529 21967643 1000000000000000000 29686253 27667714 9886580 14282817 1000000000000000000 674245515 559796366 80109758 595320084 1000000000000000000 940866519 749030639 172458492 406279120 1000000000000000000 689433354 351064156 411157523 149281717 1000000000000000000 221667008 203545302 48375684 204979082 1000000000000000000 837183115 376523824 197571716 497412258 1000000000000000000 695738259 412239065 542681670 634188241 1000000000000000000 130591998 27449167 32883824 113056506 1000000000000000000 426307253 376749540 271600889 253461390 1000000000000000000 776131611 461558422 696191406 335697054 1000000000000000000 411970983 15765228 393184515 28339867 1000000000000000000 238702669 212072004 114069607 51254187 1000000000000000000 676758381 428608312 628315896 654652818 1000000000000000000 764815491 52227818 421793610 243106346 1000000000000000000 697997353 360778999 345275890 576550652 1000000000000000000 870468917 366535755 83035932 517753674 1000000000000000000 820698526 81945159 14873158 627483550 1000000000000000000 46694695 15831773 31194705 5811387 1000000000000000000 693412756 530460254 426166958 92529264 1000000000000000000 741361273 575175933 272433040 167810826 1000000000000000000 545118128 23935854 187513847 539352888 1000000000000000000 454084960 159820328 372124524 100556782 1000000000000000000 917727037 761904531 178559334 503385420 1000000000000000000 344217654 217603431 185522317 24438167 1000000000000000000 727604440 113825398 726948649 452939412 1000000000000000000 292062799 52412158 286184804 78486215 1000000000000000000 956498756 946528508 564383503 219830516 1000000000000000000 123230493 12268403 43999369 108573579 1000000000000000000 684629131 80816210 532358485 447447007 1000000000000000000 934909744 405194244 290439014 687598488 1000000000000000000 505872440 209319269 58185924 51097285 1000000000000000000 407560283 62949275 154892246 2623205 1000000000000000000 98421845 55886876 18361421 9707024 1000000000000000000 151980987 80790979 74576326 89109130 1000000000000000000 191429265 172508447 143134975 84922834 1000000000000000000 825650025 776346466 262722655 163513302 1000000000000000000 940022843 561193102 843866773 252386317 1000000000000000000 427703822 117338387 167454887 123827143 1000000000000000000 727816627 82745905 397687939 284591739 1000000000000000000 363224653 289370355 108110430 270583298 1000000000000000000 797825794 135816001 227542900 599113522 1000000000000000000 905031786 528534017 164556668 627545200 1000000000000000000 992206069 581495267 521138679 149346444 1000000000000000000 603620029 367224386 244596449 576669487 1000000000000000000 497266940 39713099 209639193 379962202 1000000000000000000 930587320 546926110 738254374 231706905 1000000000000000000 593982467 513616011 362537971 93513569 1000000000000000000 943714469 646334340 471539363 169720662 1000000000000000000 863739988 261449552 219730573 151735554 1000000000000000000 799817960 601668871 54473988 715204170 1000000000000000000 223837335 209705675 33436075 84811668 1000000000000000000 915743999 265629171 345228450 787990335 1000000000000000000 333889114 120149454 271906381 71654229 1000000000000000000 435758607 102651150 65375477 98849705 1000000000000000000 59505135 14553416 42305885 54770331 1000000000000000000 838509157 316621056 161177847 271913131 1000000000000000000 489060861 294556607 102108372 16104918 1000000000000000000 239986469 84743387 152495160 135216430 1000000000000000000 312344117 34559895 164367493 138068182 1000000000000000000 66926152 14895488 4452027 20743540 1000000000000000000 695151210 109933820 62620517 514829976 1000000000000000000 273870730 185137770 87052681 265097776 1000000000000000000 728838806 75952695 622951984 391957163 1000000000000000000 738096675 476695069 30125747 718986901 1000000000000000000 278119658 11590159 123001828 12256355 1000000000000000000 891903418 46622967 205977150 67260956 1000000000000000000 20374953 9815691 9333593 79379 1000000000000000000 225938146 56950483 40892453 24483681 1000000000000000000 514111151 159617036 225072586 224439569 1000000000000000000 130469176 18826857 10351731 116285822 1000000000000000000 847000105 451428847 700357413 174434154 1000000000000000000 754465679 459657450 730074370 281222103 1000000000000000000 839473610 570053484 455666158 15614314 1000000000000000000 429350755 17113164 306482899 230674720 1000000000000000000 974096958 20803514 427734134 876249240 1000000000000000000 257331407 45445863 202305163 105017353 1000000000000000000 531567025 46232365 386994795 24477713 1000000000000000000 291087979 38491649 32057890 140565892 1000000000000000000 47813420 36856108 34105729 2379902 1000000000000000000 927337079 682914254 283305049 703490663 1000000000000000000 363349816 202716454 230095912 22910993 1000000000000000000 979807134 451781100 317309113 396642715 1000000000000000000 459942888 152910287 373120762 69455041 1000000000000000000 663297005 205643496 635721279 551183029 1000000000000000000 584135808 116673202 171232902 578290159 1000000000000000000 323328923 111981776 42043219 208190560 1000000000000000000 10795786 1844351 8951049 8702856 1000000000000000000 913608996 425442623 232437789 646608637 1000000000000000000 750535648 237437079 269300740 112922777 1000000000000000000 254897527 249660894 233169369 31223807 1000000000000000000 483354112 311810332 9446961 9381087 1000000000000000000 482790088 258801065 106840250 157352274 1000000000000000000 357770668 330278257 184244755 332551995 1000000000000000000 605989208 379880433 368876716 96264052 1000000000000000000 198466470 118874251 151684101 41590285 1000000000000000000 202764049 64196481 82513559 161204445 1000000000000000000 298232363 141945209 89129960 36253910 1000000000000000000 421922584 332572700 360720509 182234307 1000000000000000000 218427029 206824671 5164457 138105835 1000000000000000000 621688025 406532609 513656348 448758839 1000000000000000000 812070262 457785074 495143882 224622735 1000000000000000000 837959826 116121312 316610411 535576767 1000000000000000000 21510233 13932610 8459611 5016227 1000000000000000000 797923917 115373374 285771251 761547248 1000000000000000000 642387932 610587560 475847198 79830794 1000000000000000000 453568705 15135033 412744977 25078566 1000000000000000000 265955707 137315457 234766414 14331262 1000000000000000000 482962038 75273791 227439488 66031154 1000000000000000000 977434671 782532221 306869652 349503759 1000000000000000000 53125472 28848871 22414824 15407210 1000000000000000000 150203749 143680877 119321764 20771900 1000000000000000000 797683409 41000451 311805967 344375728 1000000000000000000 809977427 697718275 501579104 746589789 1000000000000000000 402814430 315272935 85037902 47153946 1000000000000000000 986173850 761191052 719299292 576653851 1000000000000000000 893458324 688050032 241500077 661776757 1000000000000000000 741554107 94584632 268796747 294719860 1000000000000000000 630113923 152294424 508371324 306195955 1000000000000000000 488773928 293016942 372602038 37406569 1000000000000000000 610718912 55206978 497982318 68872927 1000000000000000000 831859318 270268790 507168190 198247735 1000000000000000000 58543543 27076943 48599308 27831385 1000000000000000000 607190108 334876621 474856870 274488290 1000000000000000000 161020211 14384255 127565023 33265504 1000000000000000000 993665492 385385426 61283837 43483401 1000000000000000000 765147339 621692832 498656036 601371049 1000000000000000000 309396144 60093945 200604195 272057939 1000000000000000000 299035873 16779280 159869417 81708493 1000000000000000000 575795399 166435986 256368904 9922307 1000000000000000000 402761675 50275323 100838786 288744720 1000000000000000000 223371478 123991620 177846004 153838444 1000000000000000000 615516357 243246985 326889007 366820155 1000000000000000000 335334331 183654104 81557156 53730695 1000000000000000000 549003752 483746632 284097147 61493685 1000000000000000000 425852230 146808784 163955005 238273741 1000000000000000000 619396420 348495413 567822950 547018196 1000000000000000000 795386994 370935905 520004397 346490257 1000000000000000000 831831524 634939755 726614019 278790914 1000000000000000000 496154230 274848876 133307884 31262655 1000000000000000000 557553195 148431650 21201193 177945285 1000000000000000000 204646161 61095520 172867749 171193964 1000000000000000000 413853858 206251888 335082144 358357636 1000000000000000000 377116700 291200625 204831036 4371130 1000000000000000000 890991350 704209551 604047222 616929585 1000000000000000000 780784669 630164168 278329240 184155404 1000000000000000000 835495265 704697257 811710860 147782422 1000000000000000000 73428456 16818573 43088582 26840186 1000000000000000000 987762719 411886076 676387267 730873268 1000000000000000000 570103302 129192318 350082952 475941124 1000000000000000000 867369229 413955836 174382162 598981652 1000000000000000000 870602202 475296112 105858496 653429128 1000000000000000000 596540478 196626303 68225259 235119842 1000000000000000000 82395265 32627164 13293953 58102984 1000000000000000000 773535127 479280812 357394548 291717213 1000000000000000000 851723730 332653747 545902247 119996886 1000000000000000000 228583747 142892109 105672169 176299674 1000000000000000000 692636899 463777111 127400245 534519137 1000000000000000000 121869317 46731512 52381399 38124464 1000000000000000000 188618905 168438520 62365577 76824759 1000000000000000000 504473310 219083674 387799116 144616861 1000000000000000000 187606118 117811975 129423440 146478304 1000000000000000000 1072464 107439 898216 18429 1000000000000000000 543498980 411201805 78246922 459646221 1000000000000000000 256122059 131241142 86333767 84984933 1000000000000000000 933862769 302686038 611086586 782184173 1000000000000000000 724267298 659392958 229070937 259414176 1000000000000000000 965978502 299013737 326890789 823701452 1000000000000000000 429833472 287910186 302360089 152360129 1000000000000000000 808412186 6051933 351129247 558846805 1000000000000000000 493918977 102934350 196918650 189492037 1000000000000000000 629177743 325651929 8259921 492956283 1000000000000000000 918554634 297241930 743355725 705961782 1000000000000000000 616306425 562638235 596651962 273523371 1000000000000000000 703692207 550002892 233356308 105152671 1000000000000000000 976257135 779135608 174183997 191932754 1000000000000000000 677441186 464838801 254155782 358387901 1000000000000000000 510254288 482790766 253561180 235566095 1000000000000000000 557122012 226441612 34663913 382613701 1000000000000000000 158142602 116930894 17717140 815002 1000000000000000000 57858731 24899829 30367978 37736291 1000000000000000000 358628775 195529201 98517831 7438967 1000000000000000000 936729352 14466858 15487043 595625878 1000000000000000000 811186412 224383333 18365879 714092023 1000000000000000000 569093138 135762430 179763759 295829262 1000000000000000000 277728409 189541741 53893317 103053758 1000000000000000000 536854030 190065119 213051666 390723865 1000000000000000000 668806555 640789749 643224985 161486868 1000000000000000000 118216378 103720475 49878011 84099463 1000000000000000000 649274231 153664190 592451892 484378374 1000000000000000000 969813273 508060516 562111274 784595731 1000000000000000000 903800903 490722783 477539187 338448058 1000000000000000000 769185839 121968976 46563715 390631392 1000000000000000000 566127093 232345389 288089690 116490343 1000000000000000000 791961311 130011157 112237984 426899399 1000000000000000000 523161346 197117504 230478352 126042201 1000000000000000000 721447484 416461033 589940217 254027807 1000000000000000000 795943506 633613448 46624648 259773076 1000000000000000000 672747084 270707587 667385131 325787487 1000000000000000000 984321341 434810985 178459419 399964512 1000000000000000000 363093500 261663479 213602609 84971353 1000000000000000000 99151301 37927215 61053145 19126736 1000000000000000000 510015797 443242554 391872899 152652510 1000000000000000000 824407818 283267365 508698880 424572742 1000000000000000000 641841113 439003411 249295048 16068489 1000000000000000000 123685557 20391723 19795859 81841678 1000000000000000000 911488097 423127040 645413555 598593169 1000000000000000000 114237858 81890634 58043909 37824764 1000000000000000000 512267922 376269661 349953755 320349288 1000000000000000000 415353428 184194220 379171906 60659838 1000000000000000000 973092090 815815359 662901254 533836016 1000000000000000000 90110163 82224737 23122248 68966905 1000000000000000000 392524324 320955221 117637521 137543182 1000000000000000000 811713284 206276998 401112515 441253650 1000000000000000000 32733710 29936874 22478389 15994270 1000000000000000000 486748478 395230860 358160925 126134106 1000000000000000000 539304750 309292537 449481052 402746877 1000000000000000000 891059002 639527153 384446719 266700222 1000000000000000000 5690501 3287842 1465374 4206632 1000000000000000000 831220355 617465570 273541467 63290732 1000000000000000000 9488506 5468603 3559545 1818492 1000000000000000000 748642203 136849558 11249171 327743842 1000000000000000000 922459930 374845740 170745125 252450364 1000000000000000000 780122149 282757173 170962334 496801379 1000000000000000000 179666344 115975317 76504558 45609583 1000000000000000000 139747721 111658216 115644799 101070675 1000000000000000000 188380706 7933205 166905981 74597522 1000000000000000000 798281889 264431843 582991424 199595934 1000000000000000000 474974137 164862026 348447021 249508131 1000000000000000000 458389733 242203264 306322599 31522237 1000000000000000000 989656259 347747768 769803456 889602997 1000000000000000000 812777274 671002097 730510910 410783628 1000000000000000000 798731237 565404182 102695853 159768342 1000000000000000000 830793447 204656795 394968226 372010489 1000000000000000000 971366233 424460124 172957200 2140870 1000000000000000000 651239819 498878104 509935988 294392833 1000000000000000000 705678815 566419884 637178452 660701025 1000000000000000000 436938735 355415211 120966682 373117973 1000000000000000000 688764979 556340959 234796386 157789378 1000000000000000000 379871621 310534709 363631472 276094704 1000000000000000000 589681658 117901833 79788769 58483250 1000000000000000000 40959271 27704648 26539582 615211 1000000000000000000 982093740 260055558 120728988 154262611 1000000000000000000 548497770 13203751 14217394 199926113 1000000000000000000 342568792 84931550 133620448 19232470 1000000000000000000 850481632 44526938 438422368 435831 1000000000000000000 703350362 573042625 701276861 2683559 1000000000000000000 720121270 459326270 683416660 482543965 1000000000000000000 627568898 614345846 156489761 538052385 1000000000000000000 97449995 22991188 90534682 4113095 1000000000000000000 925506417 267576546 347817793 619211590 1000000000000000000 141957165 25083806 47325997 117679822 1000000000000000000 212117148 35573352 176840396 198441267 1000000000000000000 824297954 312755672 555878370 192801718 1000000000000000000 848341493 325679233 795932420 10315337 1000000000000000000 359078904 217175586 301998881 204729123 1000000000000000000 331906262 218829157 71343086 81886052 1000000000000000000 729472864 69162038 3423178 189306882 1000000000000000000 17687102 12300304 16276728 15644803 1000000000000000000 430779656 16333029 236811904 83278210 1000000000000000000 348117887 58546330 20070488 185580773 1000000000000000000 446801494 118274986 190531028 16451082 1000000000000000000 552177140 467847447 470217726 361547038 1000000000000000000 63427004 38671989 29581339 1621921 1000000000000000000 703044654 690847352 69174161 262898210 1000000000000000000 328043831 83337313 197529469 91057313 1000000000000000000 695306743 6664530 578058851 531641453 1000000000000000000 444573935 308540797 427368505 91181107 1000000000000000000 676431926 178914128 372183798 245892875 1000000000000000000 299549798 92789522 79453069 265334699 1000000000000000000 779113705 29979498 683525451 751578029 1000000000000000000 548025560 7192210 209422462 345057238 1000000000000000000 500733965 231163223 458126898 396894867 1000000000000000000 446350941 90944370 81927049 378751919 1000000000000000000 452644544 330463083 350724761 70142572 1000000000000000000 981321071 712290183 422328638 778256818 1000000000000000000 869569743 808243227 448171498 588002160 1000000000000000000 649550906 553842494 618005449 582400369 1000000000000000000 826402523 270650627 63594413 251612239 1000000000000000000 957175120 589709675 934124578 757355970 1000000000000000000 460433537 132600357 224366581 117209320 1000000000000000000 415790642 332206788 410206167 386331268 1000000000000000000 718267868 712981714 269031239 323100750 1000000000000000000 904808411 255623401 865684677 825699214 1000000000000000000 728079684 231252249 560202368 114111744 1000000000000000000 224652152 28174127 105715821 215795203 1000000000000000000 447599503 80974017 375891381 395994269 1000000000000000000 422057168 68093455 111287848 174109957 1000000000000000000 331395594 50714821 92371810 284538832 1000000000000000000 406003900 382639357 360496223 260557259 1000000000000000000 17281553 7656127 5311120 5312919 1000000000000000000 336258936 66484496 53066266 43244562 1000000000000000000 711603442 300784042 147623527 348114255 1000000000000000000 984845758 244111662 902178937 261286432 1000000000000000000 187543663 141306320 41504488 13643827 1000000000000000000 236094127 11801416 151130562 19706197 1000000000000000000 71208575 25595870 5509923 2250444 1000000000000000000 606534612 427568103 280708408 230200092 1000000000000000000 344611457 215141444 259115770 329037268 1000000000000000000 636732732 257852301 531823305 591736881 1000000000000000000 290002505 246431576 99140506 183876131 1000000000000000000 728724172 519539691 88956511 368529644 1000000000000000000 994619033 299807492 682357959 315123823 1000000000000000000 898161986 335698028 877882229 507104961 1000000000000000000 48566661 29915455 47942785 24083379 1000000000000000000 643095764 379745580 333580803 290812543 1000000000000000000 397011241 91811026 72812864 270309261 1000000000000000000 761740439 755123898 652130251 729185023 1000000000000000000 92908087 31967226 63783453 58930227 1000000000000000000 111866987 83227432 58950651 68795717 1000000000000000000 633142050 473903461 470790501 273193416 1000000000000000000 778604570 510010282 724799365 346043933 1000000000000000000 502518534 91411501 422609337 121516093 1000000000000000000 850013451 213839270 92975117 132309641 1000000000000000000 253950972 147786948 151197321 186547856 1000000000000000000 978939285 412397972 748314504 397270877 1000000000000000000 624729006 329578371 403565028 324687391 1000000000000000000 283558136 280479692 264372335 19386609 1000000000000000000 892246428 478015262 328804454 15069975 1000000000000000000 298676737 144916715 215973391 98138097 1000000000000000000 51139953 2701086 13494530 18159221 1000000000000000000 83920681 13310143 27307251 44577440 1000000000000000000 887706077 312612726 402444142 546058396 1000000000000000000 331156255 61121442 286654753 312385363 1000000000000000000 106596564 71937662 53499116 91687388 1000000000000000000 68156903 39864841 58865679 44486778 1000000000000000000 985632801 720858555 183492453 444834759 1000000000000000000 626820524 420730095 623492684 483097531 1000000000000000000 98649156 87733922 15465465 59611603 1000000000000000000 505547124 330463504 332349014 208853174 1000000000000000000 837557581 680619360 800501229 754029559 1000000000000000000 462493850 434257861 278780544 435294222 1000000000000000000 538473064 298218301 4307961 41626713 1000000000000000000 341357050 105929552 202061551 91989146 1000000000000000000 423549691 19285764 274362594 385346870 1000000000000000000 444534580 318685275 150177609 48630929 1000000000000000000 728130331 152637409 570948767 136094570 1000000000000000000 590801901 124022511 30159884 373695639 1000000000000000000 851864274 422192093 509857852 514768746 1000000000000000000 502354400 341226558 184780906 440063493 1000000000000000000 98224083 7059597 78434702 14222640 1000000000000000000 315720185 179939419 211867037 207522653 1000000000000000000 786397298 305945192 303003746 629270263 1000000000000000000 646158674 53044627 355625799 498112410 1000000000000000000 585926538 46277780 454563194 188910431 1000000000000000000 494107546 262900164 328286912 69420488 1000000000000000000 484854091 320267984 418408773 370350345 1000000000000000000 97429528 85995242 47837417 86703778 1000000000000000000 624728120 213152652 145101023 83823442 1000000000000000000 693427066 42191771 99144223 508053212 1000000000000000000 945511136 586085454 574922875 534649231 1000000000000000000 931562305 397056894 868324440 930969025 1000000000000000000 754298047 120181146 376087650 371766913 1000000000000000000 402336073 139774402 114870069 276650722 1000000000000000000 968153482 486252962 161394102 270041162 1000000000000000000 380560685 186383847 354026174 194456940 1000000000000000000 557295474 294846195 503659132 253723882 1000000000000000000 40894565 24188224 34916262 18804751 1000000000000000000 673781735 522361490 180760921 368341514 1000000000000000000 120176304 33299460 68065972 104225730 1000000000000000000 612980763 12107613 542093078 6662886 1000000000000000000 496467930 425658390 430186302 321180044 1000000000000000000 35333977 24782039 13916740 82404 1000000000000000000 451550619 352364375 208304107 130303509 1000000000000000000 546513748 181330724 98942026 78475260 1000000000000000000 576802207 448485540 67405968 277039255 1000000000000000000 609160218 450741426 405064214 388944003 1000000000000000000 471548632 428026769 104970366 143578621 1000000000000000000 730431702 95495550 414974167 680566644 1000000000000000000 611431112 94467540 186499912 340995942 1000000000000000000 75771100 60718839 56712841 46795386 1000000000000000000 469512399 72643066 152649082 225937452 1000000000000000000 382730981 260537541 341689873 286416469 1000000000000000000 772762305 469937548 552190531 430168507 1000000000000000000 62032330 12279148 21454680 42655520 1000000000000000000 898393638 676965431 475450560 203998635 1000000000000000000 814471006 173128607 342089137 223626156 1000000000000000000 553990145 551522172 90376775 519786997 1000000000000000000 340696483 125247945 292260638 298323312 1000000000000000000 904223675 92933465 854253599 540224025 1000000000000000000 594263401 420678621 40907960 436422184 1000000000000000000 329606093 268393979 240496387 101816310 1000000000000000000 829116672 312316311 311476647 533167303 1000000000000000000 456081322 404866634 354841521 72094927 1000000000000000000 153003405 31041117 131879316 36717124 1000000000000000000 291257065 131216029 84172065 15107917 1000000000000000000 422285948 368927537 142079123 250860836 1000000000000000000 916754638 325685024 746302031 182024486 1000000000000000000 512109138 458975349 95778041 235265140 1000000000000000000 19185794 61580 17705515 12221079 1000000000000000000 241970680 197364733 112665450 57322679 1000000000000000000 475097716 23528626 79713009 345494841 1000000000000000000 232003695 86983542 51650115 33231322 1000000000000000000 427317124 17224801 154324241 283479086 1000000000000000000 54632580 3266345 28974098 9316632 1000000000000000000 406640581 168642523 270112498 247781627 1000000000000000000 575629690 231194086 231558074 456407277 1000000000000000000 810268088 127461669 683454264 680695458 1000000000000000000 58297706 20616281 17776543 56716317 1000000000000000000 310992225 221451941 117259444 179977517 1000000000000000000 44254982 27946186 16280843 40942478 1000000000000000000 914462254 39532271 336650361 536815287 1000000000000000000 785341767 752824695 546169805 111707107 1000000000000000000 186626149 3076991 180492476 96898499 1000000000000000000 505673357 351515355 387080865 177057479 1000000000000000000 976743629 562780088 464861358 84598133 1000000000000000000 511191993 25370485 215582713 218495749 1000000000000000000 86837734 37988518 18805618 81043245 1000000000000000000 479578970 350283466 470115590 384891522 1000000000000000000 288684839 203800904 43417035 33385612 1000000000000000000 73912589 14917095 55864357 67541755 1000000000000000000 561689781 492256187 73470696 456591979 1000000000000000000 488470230 170485883 426055320 52603012 1000000000000000000 974737176 124018284 462597358 930348526 1000000000000000000 586198674 277191362 307383076 423373140 1000000000000000000 976097169 884518468 108193164 145696823 1000000000000000000 414313752 267518721 129626327 196081200 1000000000000000000 893436910 534256097 808590082 18561584 1000000000000000000 269235888 150403208 86809139 150178035 1000000000000000000 286229513 10018656 262422116 257218371 1000000000000000000 78100823 20222638 47065385 47541945 1000000000000000000 817224556 430897520 592495150 592243522 1000000000000000000 847050918 498180929 714992352 777815035 1000000000000000000 730705184 391573811 627205241 270174043 1000000000000000000 615771854 137094427 485740744 180820375 1000000000000000000 205909544 95467157 105997855 20621888 1000000000000000000 328172135 145092953 192313873 99905908 1000000000000000000 425416970 203781654 31165201 69302992 1000000000000000000 844291815 801310615 30282369 401237620 1000000000000000000 608289517 417800419 65034181 517576841 1000000000000000000 442075122 236397095 150796054 114693435 1000000000000000000 679903148 633000637 101191137 590572713 1000000000000000000 252719163 6521847 227754531 46657849 1000000000000000000 680988517 204869512 301242764 162172299 1000000000000000000 545968187 254927667 3879982 99573303 1000000000000000000 535890982 9791756 399701292 255174292 1000000000000000000 715211957 337759521 483649900 465553152 1000000000000000000 536235138 468501794 32253527 158553476 1000000000000000000 694745493 155156105 685278280 361916881 1000000000000000000 155860490 140291495 146171125 83240360 1000000000000000000 9964044 9492115 8542293 4480777 1000000000000000000 654830550 185771849 144567383 605817945 1000000000000000000 47079955 24144753 30430347 8825721 1000000000000000000 949814737 321374307 496326999 738876794 1000000000000000000 226138158 60347196 181678794 82300879 1000000000000000000 553200658 43407415 374708854 202769798 1000000000000000000 603288860 282817032 425108273 215365028 1000000000000000000 83183291 33722089 29365932 68053063 1000000000000000000 292933229 241051431 225550291 183673340 1000000000000000000 744244335 91830466 271377132 295779003 1000000000000000000 213933498 78690109 145432962 199165442 1000000000000000000 458965755 129668927 322621178 293055767 1000000000000000000 20988097 5043580 4266725 9483265 1000000000000000000 159843827 42165860 39805877 148711237 1000000000000000000 867319162 671882637 258749103 743474758 1000000000000000000 675190432 429609312 78654450 591100174 1000000000000000000 960755387 763248242 451897011 686202897 1000000000000000000 647806431 134077359 53065848 47863900 1000000000000000000 134109065 34253692 76428467 96573853 1000000000000000000 818053490 628050948 231554018 185004334 1000000000000000000 961575732 395829319 8497751 391948561 1000000000000000000 63190585 50994928 55042332 18476472 1000000000000000000 174131176 168496696 66599551 108375184 1000000000000000000 209979765 184485021 164296620 184156658 1000000000000000000 400555816 314957498 166270271 117197419 1000000000000000000 725850493 338092682 418432031 300780229 1000000000000000000 320561122 26507764 3769155 285186853 1000000000000000000 754038484 621048237 219576554 134813214 1000000000000000000 67769166 17234281 1805094 58973636 1000000000000000000 299923348 100790990 44739705 142777547 1000000000000000000 798384485 600865730 703036730 33280824 1000000000000000000 903065095 579647682 566220047 894605877 1000000000000000000 81938 69346 2715 57602 1000000000000000000 974763989 149380178 278838495 203762278 1000000000000000000 572376163 460499077 122800243 429998481 1000000000000000000 503959199 211148813 98499103 189574027 1000000000000000000 344416602 75559324 84036136 85759189 1000000000000000000 564754148 46999574 390706810 423679651 1000000000000000000 932035833 636173107 283229348 656709502 1000000000000000000 530655013 417731513 444972564 373655813 1000000000000000000 168162630 36436809 160178495 39551345 1000000000000000000 886761629 262371496 555081901 796832772 1000000000000000000 877302945 584262192 776756636 144725773 1000000000000000000 241004940 81195021 12227841 54760969 1000000000000000000 866864181 644393460 778774732 687133886 1000000000000000000 276697542 256251010 122829413 126621820 1000000000000000000 732845091 473126277 81472958 49551043 1000000000000000000 363552606 298154638 151733448 340537855 1000000000000000000 819971479 508622904 292653533 424056199 1000000000000000000 940955191 813953091 653621112 495579770 1000000000000000000 80003351 1366912 78437386 47536269 1000000000000000000 877048124 196919787 590659703 817767537 1000000000000000000 944785848 193417110 935285937 723410021 1000000000000000000 204852070 180093146 183346727 163279290 1000000000000000000 150911247 68106652 61889747 91747419 1000000000000000000 13942121 8386490 7542162 90210 1000000000000000000 408421848 330038540 276944084 360926609 1000000000000000000 69946668 61626274 58680867 25046695 1000000000000000000 649419392 357997755 296503451 59930834 1000000000000000000 477781467 226741389 94124164 431233129 1000000000000000000 640601080 548161641 43746700 458328038 1000000000000000000 701904606 698292916 290847862 375602121 1000000000000000000 320031660 112656074 249916138 119955132 1000000000000000000 620617352 226983046 335757172 415233660 1000000000000000000 6053107 5133701 3939334 1203565 1000000000000000000 545780384 518151364 545046489 320703276 1000000000000000000 427612936 272059045 398065827 199631803 1000000000000000000 533398371 43859577 36432152 1800728 1000000000000000000 801321533 426413767 143770090 182598012 1000000000000000000 770239094 483129635 98317034 199184954 1000000000000000000 906960539 817130078 37210894 120847518 1000000000000000000 366291768 18391061 209919701 39756843 1000000000000000000 30522658 16521133 2891925 10394329 1000000000000000000 949932505 934583346 320348827 446242282 1000000000000000000 759312133 143912400 110069123 407507294 1000000000000000000 729960148 586810903 179780155 264137554 1000000000000000000 661805006 368182365 382824673 203417348 1000000000000000000 657620306 66590748 252746328 136741839 1000000000000000000 95143813 26544322 55064689 10067897 1000000000000000000 697336137 139442847 672532191 5534457 1000000000000000000 673592821 352755352 433019678 98971124 1000000000000000000 554164787 343715015 363011119 1030339 1000000000000000000 232360746 33138255 36293304 129528798 1000000000000000000 226764790 150589447 88990270 209771903 1000000000000000000 123683403 24319827 45799732 40437905 1000000000000000000 842713710 790773163 373871025 539042015 1000000000000000000 46634687 17621374 44396189 45473004 1000000000000000000 806579415 792344071 44387520 368921714 1000000000000000000 713161097 494481195 633119730 253392727 1000000000000000000 465396915 177268285 455834202 420926680 1000000000000000000 175393368 139966548 117199628 106055859 1000000000000000000 34533906 20817456 24194914 11232001 1000000000000000000 922536787 905877423 822243360 410092367 1000000000000000000 826456200 224671406 478696651 13174491 1000000000000000000 874892776 662485290 696852834 98492459 1000000000000000000 592588309 294485778 453505039 476882168 1000000000000000000 790937708 601951356 571981485 246182865 1000000000000000000 777103057 225912923 493834604 757788365 1000000000000000000 8284487 2550048 1876059 6526297 1000000000000000000 336420110 210033273 252647227 159129523 1000000000000000000 379851498 262085607 267133767 177106025 1000000000000000000 169709309 87597764 69970778 6881206 1000000000000000000 961339700 957796790 237626132 393812981 1000000000000000000 71008685 25326689 28780183 62301586 1000000000000000000 536328282 271166732 119890233 53021238 1000000000000000000 148562098 140539485 4592221 61866537 1000000000000000000 612087845 577062840 470836604 342602376 1000000000000000000 896455836 400444274 533012181 883777498 1000000000000000000 502982087 290814508 429268553 63108249 1000000000000000000 140971984 61236404 64655507 110316397 1000000000000000000 772601501 108895244 507873466 473179364 1000000000000000000 465828347 326513945 159357359 453601255 1000000000000000000 791978038 227058719 224552739 76236847 1000000000000000000 527825674 423996897 299008114 148364225 1000000000000000000 166959764 26442537 140802036 10050383 1000000000000000000 588989778 23543501 307302033 130487244 1000000000000000000 964864623 754851416 615877887 325729571 1000000000000000000 506952485 472219145 218578501 333677251 1000000000000000000 688111986 292911714 488914366 472141993 1000000000000000000 645030937 624512347 567651284 351678641 1000000000000000000 74558387 64975528 39100395 58196206 1000000000000000000 948526855 349615899 803497147 656773535 1000000000000000000 233819576 6196825 65529313 136302575 1000000000000000000 123870142 104563155 74176974 85600040 1000000000000000000 331714485 132788968 120683716 81312881 1000000000000000000 757578010 616727340 128511344 286060119 1000000000000000000 824043522 235693838 555351808 256948468 1000000000000000000 845431939 352696037 520756694 600169325 1000000000000000000 997065428 753195574 435036382 517104719 1000000000000000000 107488210 106437965 14964552 28871958 1000000000000000000 935126228 101793617 775204568 632858615 1000000000000000000 278472777 1243027 161931887 276012303 1000000000000000000 426790549 143440843 305624792 53476757 1000000000000000000 494891577 72831753 180117458 290545000 1000000000000000000 119666434 30462573 15895671 76572923 1000000000000000000 660577932 548376977 331964232 410333667 1000000000000000000 948867011 906579905 356432635 223416068 1000000000000000000 638808000 413848549 23450021 37059010 1000000000000000000 808783544 629006164 398118176 364318885 1000000000000000000 592622564 580668949 384810279 231591431 1000000000000000000 343714560 82854129 39668100 128777552 1000000000000000000 337079846 224050590 230115816 281608761 1000000000000000000 689951661 464742353 366115591 464601795 1000000000000000000 98239134 2427175 50253900 48210660 1000000000000000000 114624211 34119504 41022417 58955220 1000000000000000000 20944781 1395380 14743976 4496850 1000000000000000000 613360648 181063597 203700293 338011383 1000000000000000000 704783901 222368197 139351942 635867994 1000000000000000000 712022330 699019512 337761936 18161164 1000000000000000000 802271635 351934123 224626768 407825199 1000000000000000000 795025707 388591566 170449117 339846589 1000000000000000000 266652988 205001077 3922785 152804681 1000000000000000000 345143321 147741654 86950922 90650189 1000000000000000000 328081108 42620038 37369139 154423764 1000000000000000000 8816402 3107433 5794251 7510454 1000000000000000000 827721630 167325636 509759590 423012052 1000000000000000000 559173764 223547058 340585172 160052487 1000000000000000000 188253247 188175209 147531122 124868054 1000000000000000000 424775844 276485253 42203425 181733406 1000000000000000000 895917464 521341799 700509351 522777551 1000000000000000000 851068177 72224352 632405191 335194466 1000000000000000000 106946270 54760976 54548304 85662536 1000000000000000000 880194959 875760214 670778848 27453644 1000000000000000000 303951986 65286502 183747829 105374620 1000000000000000000 662642309 549766990 210479 338839173 1000000000000000000 799120267 647877354 19162228 769195644 1000000000000000000 238043190 222120851 64171255 204039320 1000000000000000000 48547136 26809365 38663519 24188837 1000000000000000000 160270379 62142594 40982873 157586334 1000000000000000000 945869782 660844392 376829256 215367527 1000000000000000000 215104516 187605147 209828287 7618244 1000000000000000000 326782821 129818139 243594253 164720677 1000000000000000000 700203892 623871172 282551313 75438650 1000000000000000000 476190235 44254196 32165560 449945884 1000000000000000000 721979417 671355405 671698317 301413465 1000000000000000000 436684789 314936244 298678715 31776939 1000000000000000000 412411955 399806294 260287608 128848629 1000000000000000000 764110528 63242252 50624462 326965882 1000000000000000000 935691244 157662938 896780801 475576511 1000000000000000000 237008509 207095791 164566640 160002468 1000000000000000000 552438381 201178928 53021974 486553866 1000000000000000000 349078938 174213626 258428296 55479037 1000000000000000000 261521031 16472707 175820560 14963025 1000000000000000000 106642993 60320958 9442715 93176471 1000000000000000000 893632440 372102148 149307308 745871111 1000000000000000000 577664573 376253288 174340312 256024606 1000000000000000000 593807834 586015244 304426388 542960897 1000000000000000000 328786388 15384156 101111046 117487667 1000000000000000000 45394130 22740493 33547847 7929771 1000000000000000000 733039859 405287319 520548153 636129905 1000000000000000000 623975241 98356937 587836266 611364824 1000000000000000000 335114572 38699667 294520810 221022752 1000000000000000000 159632723 26961495 71739395 58029542 1000000000000000000 186021952 184184806 53046592 51900116 1000000000000000000 59329471 58170465 35313839 32039081 1000000000000000000 92496308 80271858 69277130 20285157 1000000000000000000 191826706 84721433 168150116 178572346 1000000000000000000 175746774 6774413 165453715 135672819 1000000000000000000 976360896 152337516 698047006 724383706 1000000000000000000 527025257 33884963 156045655 200966826 1000000000000000000 120905466 28836614 90323134 31267537 1000000000000000000 692595182 299753504 170198575 320835749 1000000000000000000 962291681 369393446 37229301 349782703 1000000000000000000 410617347 135528116 242880325 315155906 1000000000000000000 903601565 430407856 775197290 893194652 1000000000000000000 150451501 63178873 75886218 142337951 1000000000000000000 476702069 6284498 297030302 164833711 1000000000000000000 78302279 73919307 31665796 76717536 1000000000000000000 47212492 9215783 20475768 32678181 1000000000000000000 220035905 96159089 169253578 86331702 1000000000000000000 536763025 304101847 197393006 483521104 1000000000000000000 102243030 43042546 48542858 39237255 1000000000000000000 372343369 80764456 134351844 177708862 1000000000000000000 686012728 42178333 83438826 188744407 1000000000000000000 893941337 95416395 526445150 882288064 1000000000000000000 358563242 160683827 229113414 229219941 1000000000000000000 960420255 254981114 399479086 335864812 1000000000000000000 972712013 924746394 773728408 785160112 1000000000000000000 618408304 305222449 587622802 485204526 1000000000000000000 144972555 108914165 139135821 4592243 1000000000000000000 527329971 116100687 22608630 98806539 1000000000000000000 361709436 8992099 140871776 79022558 1000000000000000000 795856348 109604597 688498449 567592952 1000000000000000000 414080655 324478836 110295481 411304054 1000000000000000000 493617261 73882333 275621421 109939567 1000000000000000000 38562541 18183911 26039442 14777313 1000000000000000000 692542951 454213070 288830611 455835459 1000000000000000000 861493958 172696468 670296447 843583655 1000000000000000000 418582743 115277376 122783158 124063689 1000000000000000000 317073256 259197852 131661247 244749651 1000000000000000000 548776631 289750640 543488384 471572699 1000000000000000000 350667814 232904046 331908596 7513200 1000000000000000000 741900922 295372350 465046544 491107123 1000000000000000000 419610904 131671967 297477116 346948178 1000000000000000000 982481843 639298201 508429926 966816821 1000000000000000000 480081264 444870721 404288633 306782512 1000000000000000000 100009069 2504373 25250986 57142202 1000000000000000000 788750509 56320916 199733469 258664141 1000000000000000000 102123139 53670700 71382870 36247609 1000000000000000000 881086614 63778807 810234115 711631597 1000000000000000000 212280580 94936004 185066255 96391306 1000000000000000000 989376498 310332133 777511291 616293186 1000000000000000000 33692930 8982988 468338 4301473 1000000000000000000 568258961 537688030 80813692 413421690 1000000000000000000 747787237 254573340 95910836 136021945 1000000000000000000 385039992 188378896 354535946 198609532 1000000000000000000 5010173 51066 4272612 1645731 1000000000000000000 378456916 235053276 82707881 369066777 1000000000000000000 408056925 342437992 357492678 60273654 1000000000000000000 502255465 40227590 316342576 297956034 1000000000000000000 795457670 178714930 77023531 231036649 1000000000000000000 881578081 720225491 342240519 610049989 1000000000000000000 57736697 24372063 17401014 49870822 1000000000000000000 453821561 3982988 240866025 176233770 1000000000000000000 787407907 754960926 293432917 503598049 1000000000000000000 661616273 234841112 527045222 70470436 1000000000000000000 533345712 455567018 340748686 173547082 1000000000000000000 175376117 36121224 164289592 700991 1000000000000000000 489056223 331106797 42286022 81194109 1000000000000000000 563576113 229807969 393617707 193715700 1000000000000000000 168015978 9162032 24789409 113827800 1000000000000000000 545353504 281256081 236585258 131033826 1000000000000000000 858137848 351716121 55999404 413604639 1000000000000000000 912298718 365989294 201990860 114213976 1000000000000000000 836325237 196899576 610997660 36654242 1000000000000000000 276978567 201718475 249838833 58388318 1000000000000000000 971757431 526485983 107230280 604652972 1000000000000000000 716470891 29168540 310060089 356758404 1000000000000000000 293377525 26692549 48585599 28258080 1000000000000000000 808760980 33856678 106400991 275966480 1000000000000000000 889543719 46322325 714190393 793174066 1000000000000000000 610101832 457933154 604316198 220873094 1000000000000000000 180074834 161656027 134741510 10048308 1000000000000000000 478812954 171278384 26723675 327069300 1000000000000000000 322674460 227169906 1330206 208955643 1000000000000000000 414562937 38860286 319530966 355127257 1000000000000000000 912571053 663190250 432584825 720033074 1000000000000000000 406947411 366081564 135874210 284581494 1000000000000000000 565879590 470162327 376468368 157542248 1000000000000000000 816092296 596332990 308331983 651919441 1000000000000000000 947197087 736237475 236392893 286730027 1000000000000000000 47091426 33325016 35666994 41491659 1000000000000000000 922723224 721802247 625642032 836130180 1000000000000000000 516061289 430480192 351467619 108281864 1000000000000000000 202664049 115281334 162458792 79538135 1000000000000000000 431558035 61696364 285633380 200666094 1000000000000000000 517456756 146572388 258920757 32024215 1000000000000000000 225312080 65211685 90908249 2587259 1000000000000000000 603967955 360333049 574938650 249153437 1000000000000000000 160377132 148831514 74109571 2478873 1000000000000000000 830346960 148501372 719581612 209932016 1000000000000000000 357206044 256822491 347462997 173035436 1000000000000000000 818820733 233276667 178448978 740470251 1000000000000000000 914514283 326432711 797798107 642980003 1000000000000000000 500229745 188951535 426994213 23417453 1000000000000000000 881581873 665487318 260532678 12188705 1000000000000000000 924238778 135436674 212200672 484761916 1000000000000000000 350162873 35561551 280796747 168017345 1000000000000000000 464047001 313928448 30355843 195014468 1000000000000000000 805226132 30842507 355487549 52765233 1000000000000000000 302608068 246356033 39916140 153213847 1000000000000000000 248075703 6619286 175986100 2800680 1000000000000000000 965218429 180697239 735437943 26410944 1000000000000000000 199745405 42527038 112179228 128014741 1000000000000000000 193108997 189111462 35659175 167363622 1000000000000000000 375887473 352430532 170778966 179160116 1000000000000000000 694075787 502900726 486302427 126124863 1000000000000000000 223116665 167226584 215027400 21377588 1000000000000000000 495347933 341024496 93014063 222062456 1000000000000000000 335784918 235449938 228450519 258883465 1000000000000000000 542295062 265746444 113318107 283640743 1000000000000000000 995505298 247025100 788811604 57317005 1000000000000000000 303092308 263392147 43768612 196369561 1000000000000000000 279761521 187850248 176787145 76956837 1000000000000000000 19869279 3896919 7082274 2642472 1000000000000000000 896450859 643808048 557906059 816915797 1000000000000000000 922110640 905183292 366334505 245580063 1000000000000000000 873118967 164273879 153205515 858066906 1000000000000000000 889390586 627167364 467168633 224299624 1000000000000000000 469978153 335273428 35581774 97234049 1000000000000000000 181297205 58976158 119706917 129832020 1000000000000000000 808079725 155999556 707150200 192394151 1000000000000000000 895444523 331086313 250796180 60068995 1000000000000000000 624303236 412891637 594363690 137036803 1000000000000000000 368051206 312836162 152337602 55945086 1000000000000000000 132007487 36255075 128045198 36088924 1000000000000000000 796478140 199281731 525747206 614217107 1000000000000000000 890727736 387241047 886528689 877616674 1000000000000000000 427641755 103267223 47698149 386950746 1000000000000000000 21472023 18430609 1480870 13204586 1000000000000000000 438683942 177771734 81562682 107501018 1000000000000000000 682160785 126423358 324362180 644036257 1000000000000000000 978371287 360654636 533563250 866318489 1000000000000000000 72550585 6035576 36429601 51383571 1000000000000000000 266781915 56847837 1199226 101843154 1000000000000000000 407386595 2549055 43606066 116331111 1000000000000000000 84887416 1096903 59643985 72625756 1000000000000000000 367413265 263133423 313851470 137281444 1000000000000000000 923964350 628028994 918395751 201872454 1000000000000000000 317813189 83210844 12746232 79818253 1000000000000000000 786769482 552907289 295346797 46538532 1000000000000000000 300717849 201263171 18746204 48041984 1000000000000000000 208888908 29905286 148307012 116430587 1000000000000000000 999096705 409338400 463189081 583106014 1000000000000000000 49098634 19951249 8678951 33523333 1000000000000000000 723374229 417551775 235311769 306912120 1000000000000000000 642750587 111733345 407645929 606056164 1000000000000000000 561476640 4124540 416980350 216319555 1000000000000000000 21286968 18392625 4976300 14775199 1000000000000000000 43835645 191059 2443809 5466677 1000000000000000000 528893525 222355232 268579988 419902640 1000000000000000000 854051172 374000819 133974538 671642129 1000000000000000000 832988281 211272121 439638952 798486508 1000000000000000000 667563615 94953160 176888212 370274002 1000000000000000000 70995361 6793011 65214903 11740245 1000000000000000000 542553874 381266163 231045709 509498747 1000000000000000000 505021948 203874964 34645482 503176349 1000000000000000000 968875525 12278877 306360177 233969587 1000000000000000000 802444204 227115011 87459379 536700424 1000000000000000000 300049761 50110783 201658869 31864325 1000000000000000000 689748 560188 591640 576155 1000000000000000000 391797853 204913356 130081034 241945775 1000000000000000000 150734027 106201453 30286158 94171595 1000000000000000000 58626042 42209416 6654723 33594276 1000000000000000000 968663671 760122383 193495705 310905443 1000000000000000000 735238382 719055552 15509125 594880751 1000000000000000000 603772588 315112987 189615394 447323585 1000000000000000000 962234791 489512799 538527392 547775058 1000000000000000000 947987492 621506948 626278832 556917604 1000000000000000000 559736692 217361912 52279828 254654219 1000000000000000000 464172806 412635876 328236315 97431356 1000000000000000000 360360864 203799021 71278209 324346708 1000000000000000000 468091990 27814118 72601109 333739213 1000000000000000000 386092340 243521368 192687647 247311123 1000000000000000000 184428526 167706309 82366681 149211127 1000000000000000000 312141124 104272077 72937227 299293985 1000000000000000000 7612604 253283 5808653 6474792 1000000000000000000 890276474 800186367 85018404 187429189 1000000000000000000 785938367 3259869 614505298 22139247 1000000000000000000 343880993 186024609 277054258 7971857 1000000000000000000 584254295 228024290 499434837 62496509 1000000000000000000 191137838 130847881 41597348 178673184 1000000000000000000 805817613 447861224 251311156 487168202 1000000000000000000 25366383 12081556 25022969 10329446 1000000000000000000 300932832 144116110 99834555 221252300 1000000000000000000 9097345 1865274 104797 6852694 1000000000000000000 402526020 214325898 77628551 175458585 1000000000000000000 315607035 78684261 302131033 14237536 1000000000000000000 611307873 512946057 24815273 425705505 1000000000000000000 849685939 624075427 172856261 416862620 1000000000000000000 943838691 732566139 148631705 844826781 1000000000000000000 451734090 413334697 193021831 247382972 1000000000000000000 186101430 184254225 13883834 5700531 1000000000000000000 388286561 135617325 328508569 72382428 1000000000000000000 259470253 116462698 86441468 256438558 1000000000000000000 841772623 673666109 191547461 265514275 1000000000000000000 796955453 725500876 502340599 490816836 1000000000000000000 27520375 16830458 3633717 19546869 1000000000000000000 7174291 5386498 4508508 3421634 1000000000000000000 71176873 70933686 47394336 36826017 1000000000000000000 960139857 635133297 866649384 751405338 1000000000000000000 136622977 47543407 90888664 69637571 1000000000000000000 252233078 195107849 86755525 56687742 1000000000000000000 320760491 192947367 117820746 265613512 1000000000000000000 394356985 344846137 113353231 177741233 1000000000000000000 281893663 149663164 233103682 31695863 1000000000000000000 125174355 24157288 97436516 53729441 1000000000000000000 334573733 214211128 296026466 100013477 1000000000000000000 245823881 180136064 134982599 235551312 1000000000000000000 203905770 43034416 14709323 91755992 1000000000000000000 878472937 689341616 403443677 421143971 1000000000000000000 361289407 1726828 172591893 147861850 1000000000000000000 28499023 17777800 15090102 19298924 1000000000000000000 640325765 261958230 221121432 501178470 1000000000000000000 107278628 21305939 79713788 34553240 1000000000000000000 753206483 657245638 389921751 162276237 1000000000000000000 26422824 13048473 7306432 12630003 1000000000000000000 956860497 391851803 436021582 930231286 1000000000000000000 414573941 48990414 216946106 327452281 1000000000000000000 140371814 15601410 117907685 44989544 1000000000000000000 276778365 134348357 160487168 54995386 1000000000000000000 45777341 31452430 45211840 2352419 1000000000000000000 26718682 11823423 7535982 2559102 1000000000000000000 355546122 249311770 101083679 33498396 1000000000000000000 873848948 249697315 444741328 425103466 1000000000000000000 855863313 646853310 472826097 843356163 1000000000000000000 146913645 70598775 110147883 51739720 1000000000000000000 575617056 541972214 566280889 440665623 1000000000000000000 723519024 435061491 268608502 416354163 1000000000000000000 794335795 202178253 224576609 506607799 1000000000000000000 637891685 176579021 421672728 473012364 1000000000000000000 672546900 37397849 376320164 299220369 1000000000000000000 480000345 95966818 428595211 22716730 1000000000000000000 894616444 192945249 70290979 839753627 1000000000000000000 348457952 159214831 252233928 60371558 1000000000000000000 663123891 278234347 237384984 285123071 1000000000000000000 750686938 233817293 589759096 716268800 1000000000000000000 613961764 287922250 486647888 155880932 1000000000000000000 519735166 265998932 46455450 41819700 1000000000000000000 339792679 61465327 304523719 38249733 1000000000000000000 642076366 582432253 126757759 234558332 1000000000000000000 228986421 71288960 43183982 175419611 1000000000000000000 4930521 1618303 1845718 4298121 1000000000000000000 712748470 434858963 366763698 529977564 1000000000000000000 972210467 278420856 529688075 781078193 1000000000000000000 325682975 235214030 185615497 31388823 1000000000000000000 998199151 350450119 6456609 955672626 1000000000000000000 876907282 376534359 842927624 12316584 1000000000000000000 251871898 108298755 47673729 6804137 1000000000000000000 868008230 610293358 433660840 824567900 1000000000000000000 761145801 143728787 40486794 576824879 1000000000000000000 944752900 250747332 156113638 48216281 1000000000000000000 91907218 44696964 1599523 64666223 1000000000000000000 228243777 60548070 132846914 193186539 1000000000000000000 665177095 275300846 244359825 592862332 1000000000000000000 671206396 370494092 571420638 130755426 1000000000000000000 113861345 108912058 24854150 48672032 1000000000000000000 815249296 724373284 481945617 377489922 1000000000000000000 525391963 38271274 101036118 465572894 1000000000000000000 193221351 119349428 180249781 129356062 1000000000000000000 257215679 193939539 249617495 192206329 1000000000000000000 25706448 2009670 999751 12396794 1000000000000000000 233765902 219424508 100648228 124071155 1000000000000000000 984863114 100489796 696765350 888348434 1000000000000000000 558936737 536371738 107846717 545784815 1000000000000000000 731253777 369496410 194611640 286850160 1000000000000000000 261909238 198908469 154358124 205013268 1000000000000000000 769116059 764926637 505812903 694677908 1000000000000000000 859039314 137237186 622646498 476062455 1000000000000000000 650725970 403446289 189833960 30118153 1000000000000000000 894212772 369321741 854411567 476182936 1000000000000000000 967119686 303406489 517487490 710734769 1000000000000000000 577524142 447242833 426760747 341682903 1000000000000000000 72465531 59108216 32087764 54991059 1000000000000000000 647406197 523091553 203528719 234973103 1000000000000000000 717416797 95891303 657131257 201420201 1000000000000000000 956937680 900837954 294963574 219069480 1000000000000000000 693002358 503271417 678371372 635765779 1000000000000000000 922093911 109715485 590450861 812579855 1000000000000000000 38711247 18027540 31138198 1118816 1000000000000000000 94715857 55539532 52574234 291199 1000000000000000000 146852694 3197671 74924678 136232574 1000000000000000000 13145427 4603481 3618592 1313289 1000000000000000000 903684691 809342435 620574854 317479947 1000000000000000000 289101592 197844345 30420724 246215698 1000000000000000000 897326256 661079460 840196417 864766905 1000000000000000000 179621348 26656686 112737174 17503389 1000000000000000000 786538451 163578902 25495370 465259245 1000000000000000000 543714075 388256380 435144507 324208808 1000000000000000000 204944664 151254572 186523290 167234579 1000000000000000000 240046391 210094217 130950053 8459432 1000000000000000000 348610550 65008479 246393071 248053688 1000000000000000000 36150151 7029281 17614538 28054127 1000000000000000000 331573197 296591672 17885512 150860556 1000000000000000000 205346507 200112249 136005585 181272804 1000000000000000000 823666708 334637715 404880141 515920271 1000000000000000000 14929251 2905777 4609915 7891471 1000000000000000000 313146468 260131994 186029487 234053728 1000000000000000000 407610157 339696331 175971334 235080891 1000000000000000000 532137127 462664819 185161099 509623198 1000000000000000000 173959206 141125646 72534534 91021396 1000000000000000000 795665612 127082336 490095880 206046434 1000000000000000000 823876762 646618896 479844398 590513693 1000000000000000000 512519998 19881688 46103397 139242865 1000000000000000000 756262273 155434657 523475015 243716942 1000000000000000000 572511593 70797642 507201476 505886049 1000000000000000000 353596352 173926007 17354778 211914361 1000000000000000000 975088762 312862612 8674886 876720637 1000000000000000000 213145887 187943368 51867305 180803592 1000000000000000000 990306083 953782644 540126356 38155303 1000000000000000000 127169287 3503137 54006078 32713982 1000000000000000000 466948058 8712265 186932785 179819724 1000000000000000000 2923033 2225367 1705519 1935668 1000000000000000000 762599155 697892070 152711160 236089722 1000000000000000000 433059624 345248463 372513824 373243577 1000000000000000000 692900980 28862100 462362112 552657032 1000000000000000000 847603365 166019652 214179709 811849499 1000000000000000000 773152016 76532361 72494284 365025272 1000000000000000000 643920331 574887547 434989849 216562198 1000000000000000000 756945080 165555212 134903161 404381018 1000000000000000000 822267900 145158403 455593451 768603605 1000000000000000000 139245592 123938975 28199886 125196265 1000000000000000000 194931046 87198613 117508030 186553841 1000000000000000000 217577398 20605962 172217287 104686126 1000000000000000000 259607496 13432326 114935900 54395705 1000000000000000000 449335361 179195067 172915332 117786198 1000000000000000000 641840880 574098783 82697583 553540403 1000000000000000000 677124333 374307182 398108510 193663064 1000000000000000000 888080915 359459960 338237055 111612174 1000000000000000000 366700756 210192402 325046149 337287078 1000000000000000000 751054307 240610511 679362313 158097913 1000000000000000000 979959846 455796248 155971638 238373329 1000000000000000000 876761296 517184145 26657569 24765615 1000000000000000000 51949780 48932999 29871576 28660922 1000000000000000000 782818175 30348149 587236604 335532862 1000000000000000000 403438878 272398144 61998733 352025613 1000000000000000000 283474657 17894824 179355172 178014491 1000000000000000000 339712101 175270666 87531181 288706424 1000000000000000000 912420518 168914606 194482823 291497618 1000000000000000000 969505859 477527964 200389552 429371026 1000000000000000000 148429734 77686537 11589642 2923392 1000000000000000000 940175421 192004651 425789291 132563006 1000000000000000000 330158401 169994876 311096348 44059103 1000000000000000000 266754554 250954807 217737363 264131081 1000000000000000000 221336068 57682516 211864616 6918533 1000000000000000000 677035516 341983498 405689781 549734303 1000000000000000000 356568057 55043294 308057355 327941726 1000000000000000000 621657174 601441611 115443039 236427069 1000000000000000000 679307716 14573040 378087651 620588228 1000000000000000000 680636429 117547270 307274931 170376555 1000000000000000000 640764117 435671694 272565289 571615838 1000000000000000000 463406055 19160111 293746728 252113587 1000000000000000000 721193493 69138292 716220647 311597299 1000000000000000000 751948570 345738295 640834797 551685964 1000000000000000000 264668379 1622410 222314687 140015595 1000000000000000000 853173379 846476562 806654327 365502516 1000000000000000000 394787800 310661837 249707184 205552803 1000000000000000000 970754886 688339716 361103089 890254999 1000000000000000000 992573422 142788220 985927277 118139983 1000000000000000000 667375844 496964054 67916806 36549013 1000000000000000000 852384983 98892652 114842599 172518989 1000000000000000000 838660700 105136251 648500830 653385964 1000000000000000000 20777739 7001579 8605249 519550 1000000000000000000 357124804 302434364 125614623 275465817 1000000000000000000 4004718 448614 1465879 1344662 1000000000000000000 540173449 273199105 481863638 428223678 1000000000000000000 59852267 40763835 47691980 19352004 1000000000000000000 765162714 194849168 550779174 74399113 1000000000000000000 177220775 128151115 114848685 63331830 1000000000000000000 817597283 601956313 321453047 662137792 1000000000000000000 334695243 3154617 72410497 147192839 1000000000000000000 838160498 809745402 790171598 833521948 1000000000000000000 863547405 501214909 77493647 548886067 1000000000000000000 772453618 114829243 137927816 357437794 1000000000000000000 835666581 728886790 322153796 148782506 1000000000000000000 936108830 573170806 443720010 2463136 1000000000000000000 542149584 92720507 525930693 116249967 1000000000000000000 963877772 698940308 260049845 816318499 1000000000000000000 92523919 37497315 83509455 20892587 1000000000000000000 126892921 121360564 63725799 26671927 1000000000000000000 152224607 73943181 32498347 30966790 1000000000000000000 273841825 217565751 75311171 98404654 1000000000000000000 643273835 16331074 230458005 386510020 1000000000000000000 339382309 71169503 14858175 7252987 1000000000000000000 881398484 260864427 674909483 176999768 1000000000000000000 389596357 293626758 207515862 301388153 1000000000000000000 70202361 32620785 4210616 65495769 1000000000000000000 697495463 2743584 262609799 506017760 1000000000000000000 765038769 206840824 418985945 137255525 1000000000000000000 693200020 569929790 380143904 246682809 1000000000000000000 264478872 73563414 159245031 225908658 1000000000000000000 786679869 498604620 250828015 495445721 1000000000000000000 780384024 211597710 608697570 45208832 1000000000000000000 874236699 573256066 746449658 706592013 1000000000000000000 753803933 231517230 666253575 511289035 1000000000000000000 5594963 3814483 421973 487073 1000000000000000000 867755181 214724972 397706320 283198839 1000000000000000000 570555960 482404585 128911325 51527584 1000000000000000000 293878748 231161884 160595203 234993102 1000000000000000000 674588713 449334690 93328025 270611258 1000000000000000000 778501090 218677000 567449445 538584669 1000000000000000000 632181768 452565495 77422926 403325621 1000000000000000000 89279667 44195546 12334715 64966318 1000000000000000000 331098398 58597822 84623978 15013611 1000000000000000000 595188902 66429534 134802957 27101676 1000000000000000000 367164860 289385915 364916591 327656642 1000000000000000000 43710748 1333060 35239483 4740640 1000000000000000000 6091846 1509187 910126 5277807 1000000000000000000 788876069 758178058 313628001 432390878 1000000000000000000 335635531 100248514 114808746 281021041 1000000000000000000 880054303 383185362 724781987 216360988 1000000000000000000 675758130 573845413 388952521 89183956 1000000000000000000 603967542 448815573 133734029 560567928 1000000000000000000 172947077 155088954 113334913 86676620 1000000000000000000 615767675 197897480 505535778 486833676 1000000000000000000 71601267 67813405 30735849 54433373 1000000000000000000 744009002 237916877 711593431 15730802 1000000000000000000 140888839 113348806 30730346 138400777 1000000000000000000 756029650 626029273 65856142 528147900 1000000000000000000 184997460 135219738 99232101 444209 1000000000000000000 154869096 139423125 88401894 108840699 1000000000000000000 660842925 408266758 306468026 30355514 1000000000000000000 373345978 300413832 167791895 350381241 1000000000000000000 288153083 235044433 178766041 51976039 1000000000000000000 2888991 1838693 264507 1311478 1000000000000000000 700305378 139613996 577125442 594751215 1000000000000000000 291396435 165754355 159408725 17934819 1000000000000000000 364755659 298465195 258710490 202562750 1000000000000000000 916913393 471929688 49355615 889292515 1000000000000000000 842136341 358848344 580505619 398413195 1000000000000000000 233488848 215112242 1207713 189246204 1000000000000000000 418241957 373194329 152154508 49186598 1000000000000000000 341191646 218683024 220989738 331290791 1000000000000000000 910505374 306677667 324363700 678246516 1000000000000000000 728258352 659884292 527624151 270773477 1000000000000000000 906690556 202474991 615128614 506586681 1000000000000000000 310158004 240434568 207370135 169887896 1000000000000000000 604055925 335015939 307472727 7499471 1000000000000000000 375818917 278611174 1966626 156647899 1000000000000000000 142608763 97465022 81280571 88209748 1000000000000000000 213034531 59068586 176925737 210537461 1000000000000000000 989861645 569177228 329447770 620966298 1000000000000000000 714640385 500576 111739273 676980637 1000000000000000000 19382664 5612511 6683644 2197146 1000000000000000000 556871008 284887860 462241142 458590023 1000000000000000000 532310715 11763883 399963011 193979306 1000000000000000000 486895376 151518857 59236694 193675490 1000000000000000000 627877704 82330877 186055991 209275106 1000000000000000000 84027897 34850061 27011229 21041925 1000000000000000000 367795908 289375585 156128085 358128721 1000000000000000000 189394934 27663984 82157465 127559769 1000000000000000000 156802781 126306026 149899488 114412570 1000000000000000000 343606682 308298978 9502054 108084733 1000000000000000000 574725072 333820550 303180102 558444660 1000000000000000000 659851613 600867899 540878636 118461944 1000000000000000000 433702530 420419094 328680517 375010142 1000000000000000000 285405730 203437522 137339804 111737645 1000000000000000000 253996448 214829480 75137972 121310207 1000000000000000000 327795847 31597617 37284411 220262842 1000000000000000000 910890865 452141327 636940231 356078743 1000000000000000000 82509349 38819847 29441471 663779 1000000000000000000 894036326 296588477 764198185 189298285 1000000000000000000 285702304 281013677 215928256 200439158 1000000000000000000 312406197 188107084 163974683 296751374 1000000000000000000 442109468 413364576 281504262 25379455 1000000000000000000 257059620 88743326 154565115 93002724 1000000000000000000 27314892 16607273 21286353 17078814 1000000000000000000 696385016 59967904 294962450 188445960 1000000000000000000 152387919 67156877 47266473 63095536 1000000000000000000 971856922 813823467 797547227 602036402 1000000000000000000 149735366 58080204 140650855 88136907 1000000000000000000 814471410 453706576 805094513 270536673 1000000000000000000 945413500 87646140 437043733 579160071 1000000000000000000 75493996 55441640 19410740 5214571 1000000000000000000 780054300 8486373 467279508 489102466 1000000000000000000 386122286 309733926 155270301 210149545 1000000000000000000 713743100 542734682 392946618 390166256 1000000000000000000 767375113 560947897 658689495 184234440 1000000000000000000 583277118 396499136 471178267 456398377 1000000000000000000 483062586 189098034 154004545 8641284 1000000000000000000 29660865 29090968 1703053 24293033 1000000000000000000 981198633 563822419 634446 948983510 1000000000000000000 116586624 96769249 23359729 17285350 1000000000000000000 723734861 505961728 62052728 322639630 1000000000000000000 396118582 272099054 31252955 18466518 1000000000000000000 244020256 65718668 89728714 37829252 1000000000000000000 174331332 61634687 16409289 156237354 1000000000000000000 234306553 112415629 101041056 214146059 1000000000000000000 791184737 501833811 750603540 647907041 1000000000000000000 807875537 356745223 671912748 720386585 1000000000000000000 775795597 671124213 596119817 437691913 1000000000000000000 319428276 152158203 224376259 173111303 1000000000000000000 82866372 67195806 54850509 58796646 1000000000000000000 708771698 129152902 593491257 449938690 1000000000000000000 170673065 169948011 42788723 92995596 1000000000000000000 666173612 141292339 579020110 549034288 1000000000000000000 805390727 383196826 769455298 158968413 1000000000000000000 929409557 834585559 749038261 604883413 1000000000000000000 411719411 185702744 276802319 76230665 1000000000000000000 323135655 92575597 140756506 20887080 1000000000000000000 74073487 45623440 61907092 46801151 1000000000000000000 664053257 538141322 571387374 663733756 1000000000000000000 392124053 119151775 342625012 228765589 1000000000000000000 957233366 288538405 837484442 709784161 1000000000000000000 558184776 182661191 151019514 270233642 1000000000000000000 425709041 399699172 408498307 179853329 1000000000000000000 311389561 121073656 274517158 288169708 1000000000000000000 721951607 321599930 245359332 537911502 1000000000000000000 456275523 182775571 341068747 187885816 1000000000000000000 339549052 270511763 32433873 249332892 1000000000000000000 842075605 529712276 303193934 495084188 1000000000000000000 627537787 172033142 514587919 107204675 1000000000000000000 513579465 277900110 437038441 354164922 1000000000000000000 399691652 319984260 88832319 62271588 1000000000000000000 84789014 13454912 77768124 68964086 1000000000000000000 108319439 49798480 63163566 31013688 1000000000000000000 842680196 278446405 802016984 549115170 1000000000000000000 568410471 419669558 492423015 64855518 1000000000000000000 18893656 4987869 8329086 12331751 1000000000000000000 82849016 29790400 52851016 36865819 1000000000000000000 81221153 78155434 17403681 31863544 1000000000000000000 67418178 15265847 12066451 14330173 1000000000000000000 20511638 19236814 6761083 11294334 1000000000000000000 851431212 442250723 524033530 768223204 1000000000000000000 159634689 157541295 146344214 127118904 1000000000000000000 698875544 442506229 271871126 107550739 1000000000000000000 303933833 180292238 175999808 190850843 1000000000000000000 173886092 56861974 77074532 15336872 1000000000000000000 948701710 465738238 323934902 211120812 1000000000000000000 59260587 26488962 45231808 22084284 1000000000000000000 5177564 2940127 734407 223283 1000000000000000000 907351558 75063882 250630516 84179556 1000000000000000000 891947557 226221122 432294663 856839922 1000000000000000000 819278567 314733790 186880644 203715051 1000000000000000000 578849552 91991843 507330735 57918510 1000000000000000000 68961932 38582498 20113676 33374668 1000000000000000000 231395876 33824581 73039395 107285056 1000000000000000000 981363973 683995265 41324687 61380005 1000000000000000000 944602724 710300602 924563545 637421718 1000000000000000000 569416602 468184166 193353755 313979744 1000000000000000000 346633594 223039060 89688325 217363874 1000000000000000000 459538402 332872622 280168317 315847427 1000000000000000000 713522082 359293081 412877415 709518533 1000000000000000000 992360261 122026701 377038394 817888117 1000000000000000000 351068970 162606146 9465827 221316232 1000000000000000000 664681266 195428284 506540133 296823837 1000000000000000000 791623931 487180574 60668266 756346055 1000000000000000000 332193137 143817359 244245311 170969757 1000000000000000000 987319328 710883567 876762080 733697828 1000000000000000000 182594882 120983746 88526510 139752317 1000000000000000000 360796827 83735301 134326039 201958784 1000000000000000000 771743424 507295425 58648341 742418450 1000000000000000000 819287465 728526718 260330222 417043872 1000000000000000000 687043911 347195897 532058707 43619681 1000000000000000000 505069671 20043481 56063557 469236160 1000000000000000000 316648377 68655558 30004114 49919220 1000000000000000000 203086262 152526073 126355066 14133358 1000000000000000000 292585490 58774052 257580492 166130603 1000000000000000000 763693183 275272431 426913056 437014274 1000000000000000000 420972607 146874526 112068157 376933378 1000000000000000000 163912697 150764697 151591291 11340974 1000000000000000000 333917659 137684838 44450195 2455880 1000000000000000000 461636075 359981265 22169789 356125671 1000000000000000000 260142976 249697706 167788130 199723459 1000000000000000000 797365723 499618484 360728 171092742 1000000000000000000 5280621 834814 4183998 823130 1000000000000000000 396286125 358596788 348567325 74925921 1000000000000000000 22941556 20937982 22224671 3955101 1000000000000000000 922642494 816656636 459611542 457526539 1000000000000000000 892718064 844406664 703803127 890229668 1000000000000000000 564465042 489036346 196952413 261885847 1000000000000000000 971862645 74221335 581703395 39114891 1000000000000000000 131703607 106882313 19885931 57959954 1000000000000000000 89048146 69502961 80808090 36545323 1000000000000000000 377735780 233289640 369444446 195324424 1000000000000000000 61068121 2454461 35839403 4914896 1000000000000000000 120682898 32640712 108890696 59299484 1000000000000000000 505156548 210708167 378594500 311441294 1000000000000000000 169247978 163556490 11749699 66290134 1000000000000000000 155579725 22818379 131307655 99065234 1000000000000000000 345702440 140187817 235418953 6083666 1000000000000000000 456289817 294070461 330207017 61467302 1000000000000000000 141728872 104796916 5709526 139606630 1000000000000000000 801276972 792019243 570816513 497949573 1000000000000000000 693785658 188648629 289862984 41028600 1000000000000000000 574212980 228617750 562791767 523743612 1000000000000000000 518033079 243197687 283414946 206552098 1000000000000000000 778546556 522330726 341013416 392474659 1000000000000000000 134359335 111087802 11436266 4167350 1000000000000000000 402730820 207626887 120419390 179674556 1000000000000000000 208440346 160043084 102255718 44881005 1000000000000000000 497457300 381333310 113388363 93320988 1000000000000000000 540671448 378070840 331015866 321770817 1000000000000000000 310578708 124105477 244533246 76738120 1000000000000000000 229249168 36831649 110874982 205799257 1000000000000000000 744649726 88253245 413935306 364775177 1000000000000000000 260534348 139157578 149272525 28602360 1000000000000000000 125694687 111739091 5351816 103428049 1000000000000000000 437221033 413189414 229526053 370590054 1000000000000000000 291920653 11999721 223950558 47868417 1000000000000000000 976329235 181213740 845329902 910043121 1000000000000000000 302613218 222208920 236266287 87266538 1000000000000000000 751578110 305081952 107981588 339026489 1000000000000000000 215417454 190380401 16184281 30593963 1000000000000000000 94336510 68434709 2314234 54448850 1000000000000000000 823982255 119088353 287068473 384569762 1000000000000000000 822871770 92294848 349440499 15204152 1000000000000000000 750335174 310097723 229728757 516900534 1000000000000000000 951670937 520757207 740179255 487854072 1000000000000000000 941000690 219595561 310840741 179284653 1000000000000000000 107009336 72407294 83310822 73294153 1000000000000000000 981518151 133065794 109940966 811687389 1000000000000000000 50952685 27122179 2753814 41259947 1000000000000000000 439654408 68046396 39415886 11645259 1000000000000000000 507199128 391440550 503603204 397207535 1000000000000000000 233511577 46601817 194099426 94856718 1000000000000000000 532845303 72525864 237104963 46734256 1000000000000000000 917247186 147575795 847804130 197017298 1000000000000000000 410222360 377514928 310254468 89149004 1000000000000000000 241719203 80734059 202915163 154445304 1000000000000000000 859378799 462882362 153960725 628908235 1000000000000000000 114141070 60728766 26411994 96920233 1000000000000000000 941716306 54416712 321257211 132756376 1000000000000000000 583646723 525703467 372098086 167031686 1000000000000000000 311697504 265955282 2822182 15957599 1000000000000000000 986943119 202787276 413630016 981672993 1000000000000000000 720051029 626071799 142918270 249650785 1000000000000000000 119745493 101744982 17288213 115593939 1000000000000000000 633821922 138937928 100949729 230209872 1000000000000000000 730089611 100763880 157708238 367518725 1000000000000000000 251181535 241876560 107365772 129234476 1000000000000000000 802012638 341521228 575743966 143951579 1000000000000000000 67393233 58558799 37290185 64061486 1000000000000000000 116277773 60978431 53289377 7121604 1000000000000000000 294160610 278296252 189252026 201232355 1000000000000000000 145829866 129975025 30457960 86080041 1000000000000000000 979447409 954219957 267717416 45456008 1000000000000000000 126341913 91671337 73766697 26704564 1000000000000000000 942594949 396475068 800362279 515735472 1000000000000000000 193151479 175574187 140911515 134411550 1000000000000000000 248337774 152750128 111504480 170965919 1000000000000000000 757827508 680899382 354362914 683524737 1000000000000000000 271578572 182115705 31938074 1864036 1000000000000000000 697864822 92186214 154454241 655539187 1000000000000000000 74716724 31400842 22075026 30141246 1000000000000000000 521176308 444892258 509608754 138728538 1000000000000000000 593966164 125577795 89244210 550751525 1000000000000000000 428317449 102242342 332527871 320573463 1000000000000000000 37177124 22651289 23533778 26375153 1000000000000000000 120558785 111531440 12488647 90176775 1000000000000000000 373648322 17045719 99283285 310589130 1000000000000000000 554412451 405693116 298356452 42690183 1000000000000000000 199837729 158886479 176487556 161635328 1000000000000000000 351728471 206947367 11610778 9710008 1000000000000000000 569999522 295813331 530053904 122787818 1000000000000000000 497164820 372469647 285071718 282927560 1000000000000000000 327618688 60425303 121416862 174307712 1000000000000000000 525570565 194480889 492468084 260851367 1000000000000000000 315905181 194230851 26451729 311481258 1000000000000000000 387989473 32964835 174824861 230202061 1000000000000000000 921562861 549363213 845698279 173258137 1000000000000000000 764445480 429957263 699929969 352237668 1000000000000000000 680599795 209940257 443454335 327125699 1000000000000000000 451910052 234734095 138413578 50920448 1000000000000000000 528974337 110893928 76739467 242451061 1000000000000000000 305423191 246691610 185521120 102777137 1000000000000000000 639311322 509727340 35576322 355756553 1000000000000000000 695335354 179838861 499616855 486530032 1000000000000000000 25016444 12403606 605872 4957171 1000000000000000000 857883731 599498866 504935406 767146492 1000000000000000000 4967162 3460308 3204142 1760629 1000000000000000000 94314378 11954405 8921604 59228546 1000000000000000000 117732604 96147662 5493546 113298848 1000000000000000000 949749722 818459072 273755268 817043946 1000000000000000000 154095626 84712394 124798079 55940205 1000000000000000000 655422118 164719367 575709797 42185165 1000000000000000000 457360917 304820381 377219852 415122515 1000000000000000000 27803027 16240648 15019514 18345892 1000000000000000000 387118823 207237837 72620762 159457420 1000000000000000000 771979281 739431737 578406625 457042712 1000000000000000000 457284834 177509284 176880628 339490273 1000000000000000000 537504042 251958952 239409128 27963812 1000000000000000000 367611596 262506153 296362061 248336715 1000000000000000000 601771073 419638309 334886766 359446725 1000000000000000000 229362290 21072946 88701661 34593271 1000000000000000000 917438205 379356002 751959473 556575744 1000000000000000000 754885605 61666250 313136911 436259899 1000000000000000000 519033096 200110417 463399167 108156680 1000000000000000000 609955460 474443309 205774918 186806698 1000000000000000000 234554866 27582301 5533996 216539812 1000000000000000000 970113825 521969758 628945686 185855325 1000000000000000000 99723075 92403355 84277702 917686 1000000000000000000 600188307 116583374 111692713 210913596 1000000000000000000 916447924 132185255 373863586 149878890 1000000000000000000 626369323 264590236 135706875 325260879 1000000000000000000 118833930 76598749 21984461 97169549 1000000000000000000 7120818 5441868 5949837 465183 1000000000000000000 170508477 7122706 53548108 141335768 1000000000000000000 224926667 89324920 96321644 55092448 1000000000000000000 982675361 12818616 425558614 827681923 1000000000000000000 811742447 658312310 118681828 47747302 1000000000000000000 473365708 39589449 54844862 49677528 1000000000000000000 736544430 11529898 133126013 77829375 1000000000000000000 337987222 126841164 328121681 261335696 1000000000000000000 319322136 224459042 63403744 303778892 1000000000000000000 907742883 574703554 274513003 316045808 1000000000000000000 986072571 657317727 673756048 769220396 1000000000000000000 713383371 362872534 469385154 681037669 1000000000000000000 704659975 303701628 380303746 584879974 1000000000000000000 841630041 498877279 189969920 260717352 1000000000000000000 628551612 165205807 562772902 227574295 1000000000000000000 267130851 135170860 143043871 237261798 1000000000000000000 109499252 37511171 71472421 108398578 1000000000000000000 852627780 599749528 212601525 814931044 1000000000000000000 118702629 31758433 107377354 19625022 1000000000000000000 583181658 503743331 79406014 217676929 1000000000000000000 236561493 72347576 86418418 56754725 1000000000000000000 826413306 286402125 309561241 420062021 1000000000000000000 701300578 30508598 628905929 201316069 1000000000000000000 610490067 41298518 608911907 431703927 1000000000000000000 106480616 94841039 21256651 55567439 1000000000000000000 411228289 133692536 202625372 234837305 1000000000000000000 334414694 261849326 127232560 250050816 1000000000000000000 873351385 135850458 848825359 201707639 1000000000000000000 991341280 390498756 7262863 906086829 1000000000000000000 72700502 37069945 17781125 24322753 1000000000000000000 674729817 551185653 360193333 134861463 1000000000000000000 777879269 246532333 66881778 612995385 1000000000000000000 847281263 108299243 431357074 562033198 1000000000000000000 691983851 197862354 89307333 16940589 1000000000000000000 401552855 262162435 372362696 216679293 1000000000000000000 332423424 37647187 184750217 102731705 1000000000000000000 243716825 240569755 90758691 44473221 1000000000000000000 473512250 433865246 97954413 451820099 1000000000000000000 40786411 7009456 17299990 9454935 1000000000000000000 139747708 66277348 118409951 86278388 1000000000000000000 569087285 183538942 472245308 265395098 1000000000000000000 543872862 211138253 477629652 513372048 1000000000000000000 541900309 232839608 435419175 29548082 1000000000000000000 55216295 42933709 7856978 41203145 1000000000000000000 764223465 657064014 606027061 132943050 1000000000000000000 91556739 58554462 13651602 63981335 1000000000000000000 871539071 117258570 241034160 197821887 1000000000000000000 196590113 111501524 22902567 78682998 1000000000000000000 256632830 150176590 106218118 225025677 1000000000000000000 875040670 161172879 679720323 721005941 1000000000000000000 645965189 166269996 39611818 171676790 1000000000000000000 90420473 83377739 28783573 33548756 1000000000000000000 937599277 576235802 890497824 147077751 1000000000000000000 675862455 534926678 167806916 364490044 1000000000000000000 645714126 262211033 234356690 318718471 1000000000000000000 665058941 27310719 661939380 662375079 1000000000000000000 111481421 81399235 37088397 21253807 1000000000000000000 199242591 77474594 38058713 27096162 1000000000000000000 452114993 262198570 302380158 449047808 1000000000000000000 681815746 269237167 71275106 3834950 1000000000000000000 695515574 336895060 318526032 122241145 1000000000000000000 824562063 507980134 54367224 310831681 1000000000000000000 488006436 277105893 348022042 28669173 1000000000000000000 437243932 2327373 193635666 390274075 1000000000000000000 172452445 97578161 104342948 31537749 1000000000000000000 962227631 771707054 12204001 22410204 1000000000000000000 100468338 4598003 80497815 585090 1000000000000000000 685050577 643061520 414693290 334374427 1000000000000000000 266833004 160296802 184760094 152957734 1000000000000000000 362114546 306251579 214928747 208772637 1000000000000000000 592238353 84225582 243389716 478078381 1000000000000000000 250030574 229995376 42509584 31847858 1000000000000000000 14359671 11546417 4745595 7158232 1000000000000000000 481361791 275881257 21676493 474383101 1000000000000000000 221243774 184303319 209159543 134753361 1000000000000000000 192910353 47071577 132540596 115166271 1000000000000000000 754102002 3782674 295922742 302372580 1000000000000000000 75138566 34618798 27353107 19300661 1000000000000000000 246292206 25068942 138130589 28408020 1000000000000000000 809065765 586948357 437328829 33209674 1000000000000000000 264275372 151948341 216068251 65853427 1000000000000000000 708091692 297506901 535613809 30572805 1000000000000000000 796256600 470629717 656205746 693580863 1000000000000000000 125277573 105427100 56850618 122122459 1000000000000000000 480441876 243806244 327605288 364667574 1000000000000000000 276192189 233704805 164189366 160055227 1000000000000000000 252828245 75815558 113979405 102548417 1000000000000000000 937939140 178455176 892897948 205807768 1000000000000000000 988416434 330060195 624005289 903370670 1000000000000000000 639963366 223226816 632967759 109600710 1000000000000000000 926285871 903577031 155683284 454602556 1000000000000000000 640021669 177919210 315783477 491114484 1000000000000000000 863449563 344359876 472860276 277729811 1000000000000000000 847211293 827723574 330059553 73960422 1000000000000000000 81952983 77327157 18379219 38247661 1000000000000000000 986180291 252102634 143470786 840007398 1000000000000000000 400915433 242521651 70918034 350076649 1000000000000000000 946855303 293935518 891540617 426110853 1000000000000000000 616864362 244641961 382307472 592726306 1000000000000000000 794418670 361291014 297052497 53519434 1000000000000000000 349572309 107464754 246625285 178354620 1000000000000000000 669604066 577658322 237102815 595712760 1000000000000000000 242349140 163884780 63854260 240298138 1000000000000000000 852406257 104110562 64859827 679758835 1000000000000000000 81773269 39647500 33955949 42995730 1000000000000000000 864522122 619453446 533333929 317847487 1000000000000000000 68368074 34169202 66856842 2191444 1000000000000000000 949352641 727200005 768006174 463642566 1000000000000000000 667819953 522454003 583732107 545190652 1000000000000000000 903095989 619740510 521356663 226004629 1000000000000000000 440632358 146135665 167497397 433303439 1000000000000000000 776369638 588945622 495693753 291339818 1000000000000000000 10859428 10736238 3988034 6293892 1000000000000000000 187254392 148152790 131462175 124481327 1000000000000000000 45052417 41001908 41988298 5533891 1000000000000000000 335702380 221124616 328811985 273942877 1000000000000000000 790152109 674731314 634898559 219987784 1000000000000000000 941726832 164670008 13961560 35292581 1000000000000000000 960871537 842977146 945663112 186659836 1000000000000000000 544416299 48422935 147080922 543452993 1000000000000000000 538783297 317784691 184651216 189211443 1000000000000000000 228634416 188065531 209213225 79281823 1000000000000000000 618845735 103105962 265525032 218446128 1000000000000000000 438477731 73466303 419701128 391696935 1000000000000000000 196126200 119916313 66192431 25906765 1000000000000000000 123893521 61588698 113400839 51290027 1000000000000000000 18997858 6675546 10868544 10078358 1000000000000000000 546238912 166583564 55826258 386456293 1000000000000000000 898171934 324950856 799986571 504417790 1000000000000000000 567114744 538278204 411629317 106678558 1000000000000000000 236729821 1072645 217292593 180589277 1000000000000000000 210156250 97023824 26350388 116334523 1000000000000000000 453481095 175902045 203459012 81376922 1000000000000000000 345493839 215111598 7391632 237765143 1000000000000000000 47292141 25244689 27071963 3957137 1000000000000000000 346761442 12533493 338067099 146219565 1000000000000000000 15804670 9735619 14006032 15242380 1000000000000000000 898364231 675640860 687163393 497998985 1000000000000000000 162877752 2785956 14144334 157844261 1000000000000000000 1115504 686650 635711 135599 1000000000000000000 235703839 197151813 187508350 102536193 1000000000000000000 969903631 269865456 595389028 700380969 1000000000000000000 152956230 38264017 55180491 5932345 1000000000000000000 948776392 837866953 894434785 267689749 1000000000000000000 362496792 166119766 265046417 150397516 1000000000000000000 129649208 8096982 5348560 81865601 1000000000000000000 377100953 110896538 161009577 193695196 1000000000000000000 803231599 59188481 139784733 52698325 1000000000000000000 108496995 32573168 20221174 65581358 1000000000000000000 494955871 458489229 491764608 376842659 1000000000000000000 189289274 28059391 138407671 6705016 1000000000000000000 979076387 367087340 183814698 287942649 1000000000000000000 771922527 67212478 707140238 608738891 1000000000000000000 588409577 578402731 211070646 191333665 1000000000000000000 379166448 108152939 364951169 209905744 1000000000000000000 766737720 605885809 721952922 515742669 1000000000000000000 890198654 690484107 754275349 695239503 1000000000000000000 721673905 376235655 536274449 701668606 1000000000000000000 76326514 72593635 74310900 64714639 1000000000000000000 625862246 91539447 511805641 49999670 1000000000000000000 444353423 174581130 252511869 323865222 1000000000000000000 658688606 26285132 465133197 281790850 1000000000000000000 375522836 249838099 139564516 180409540 1000000000000000000 959117766 557207410 675714491 463071125 1000000000000000000 550906870 507783442 320217007 169633687 1000000000000000000 715478834 252555378 186560532 239625812 1000000000000000000 355242456 250559805 236207746 12501523 1000000000000000000 939233660 826265433 858792897 863930139 1000000000000000000 594002515 495518489 374519359 187461033 1000000000000000000 295612061 271127185 38656406 145487571 1000000000000000000 422223477 188578981 153872494 273769161 1000000000000000000 708784068 174148865 552797873 646228264 1000000000000000000 612290921 567228823 436493592 381084915 1000000000000000000 801741930 301537637 317947958 78807810 1000000000000000000 519925397 498830753 508073906 516795914 1000000000000000000 129074680 16792090 35943662 116922820 1000000000000000000 463698447 438150143 331307515 262494736 1000000000000000000 609684643 282892163 602629744 302148347 1000000000000000000 171325194 94783338 146722185 81613422 1000000000000000000 683250818 598856924 517157061 266702092 1000000000000000000 924929273 566319311 290851905 127483178 1000000000000000000 201762839 48590657 44825846 74925132 1000000000000000000 697414438 592833973 484017648 35618788 1000000000000000000 674739439 529705748 106952709 329050230 1000000000000000000 983165383 811666875 63751125 638982559 1000000000000000000 663598678 462707408 129093407 608096929 1000000000000000000 495336332 477082344 2179078 111338124 1000000000000000000 147975548 98870938 130235698 67947676 1000000000000000000 770712532 733897182 504403404 377481081 1000000000000000000 39257750 36873829 1569547 21781880 1000000000000000000 716470593 544271617 429405855 6211778 1000000000000000000 284331727 264714916 22753310 246582517 1000000000000000000 555941940 193253865 303549791 435870641 1000000000000000000 639776777 494437461 71160093 165182637 1000000000000000000 263877339 84136632 2297568 194050841 1000000000000000000 568957070 539890343 16207358 149478760 1000000000000000000 950966462 6570460 209703879 526570486 1000000000000000000 90696692 28302759 3396120 88836928 1000000000000000000 797247529 469122873 371096716 713127181 1000000000000000000 564063445 334542170 27713838 174493652 1000000000000000000 259709711 45170427 2531686 36160471 1000000000000000000 415374713 197193125 121068348 160203543 1000000000000000000 605949401 386969975 223327642 141752665 1000000000000000000 798415459 499323328 290704750 447378060 1000000000000000000 513298782 37189093 321942029 459939205 1000000000000000000 696758731 421935332 688079222 538828410 1000000000000000000 157663920 47414400 88177037 149215359 1000000000000000000 593483280 58726223 69037982 364842895 1000000000000000000 386130885 145228731 40680369 277815667 1000000000000000000 802761557 380859766 539008058 594054046 1000000000000000000 827707631 412855078 213638971 827390024 1000000000000000000 113469896 5535216 98089506 9065 1000000000000000000 280049444 235890962 65156210 271708318 1000000000000000000 384933421 169052839 308293203 325303438 1000000000000000000 360220911 42038007 335240871 4649857 1000000000000000000 70410667 37833178 41468333 69818585 1000000000000000000 200849505 70829412 186487612 141766500 1000000000000000000 249078400 227709240 163110761 226516880 1000000000000000000 455469250 324595857 38496740 262815623 1000000000000000000 833016530 705372071 549103658 652107834 1000000000000000000 351629609 302076756 80918967 87116260 1000000000000000000 47383435 14279538 14700618 26348944 1000000000000000000 989833945 659031495 381964803 324468324 1000000000000000000 709803617 706284652 207926129 69552508 1000000000000000000 177426045 175418260 19069867 93438181 1000000000000000000 686718215 322183908 450080575 156581601 1000000000000000000 966929190 856501145 302773529 670712876 1000000000000000000 380718821 176542424 104853902 378591615 1000000000000000000 936627611 740287341 890036091 369993315 1000000000000000000 730777471 460134173 183570433 281981270 1000000000000000000 66160334 25419867 27780527 52976909 1000000000000000000 920544565 685402461 67791399 119316079 1000000000000000000 731324161 322627860 181066876 574816563 1000000000000000000 257197073 162360067 244911557 236385958 1000000000000000000 389593652 126970917 133677800 58258225 1000000000000000000 127095229 125874836 25251048 108466669 1000000000000000000 217327335 114236908 1898109 165595062 1000000000000000000 162955551 40419959 125621504 122789717 1000000000000000000 554199624 207262762 399017387 392164105 1000000000000000000 861454907 453717695 177493937 427960185 1000000000000000000 991646525 645758146 157375932 682029721 1000000000000000000 930698804 856736876 256788274 572281596 1000000000000000000 747964140 354280982 184658112 33220142 1000000000000000000 623988368 262986088 190811849 27946439 1000000000000000000 973930477 152267384 796451042 321014729 1000000000000000000 166138391 152694475 53530589 669145 1000000000000000000 830456540 385375037 78344091 814434637 1000000000000000000 387033643 88572386 29497044 233817563 1000000000000000000 619957800 216600448 615252723 595245210 1000000000000000000 599553005 225997085 146839857 411779104 1000000000000000000 637658531 589222900 136279720 500175067 1000000000000000000 486043964 277538496 455572202 246210496 1000000000000000000 992123542 329606516 686010521 847851163 1000000000000000000 536642741 418513798 224570523 338456452 1000000000000000000 276675571 259978512 240739352 61464213 1000000000000000000 658897283 229249624 514238796 38859429 1000000000000000000 403957625 254573433 192349904 90091156 1000000000000000000 986058627 777724905 724788279 657939205 1000000000000000000 245644598 80575843 38008446 216389177 1000000000000000000 978230024 309727691 565649220 963730233 1000000000000000000 971331666 769265427 941882092 532860390 1000000000000000000 37089615 1201682 172000 6673121 1000000000000000000 404852630 63466861 196095608 30954138 1000000000000000000 104156242 93799496 42376231 44853297 1000000000000000000 176218591 20186515 142795892 155585530 1000000000000000000 531780287 329732835 340521565 114802557 1000000000000000000 327738091 106945791 194054215 243001172 1000000000000000000 294743443 230195729 252579076 114998619 1000000000000000000 896074360 600276422 803108336 604018187 1000000000000000000 968514565 72604882 108159961 19881337 1000000000000000000 852644657 409749520 575413758 716972804 1000000000000000000 598202219 36630703 118643692 135833626 1000000000000000000 594416800 220237274 223939206 12901983 1000000000000000000 822144964 131866473 188925887 114508894 1000000000000000000 981754954 760502246 293808442 872830740 1000000000000000000 703656553 13275455 548358358 356623884 1000000000000000000 804808745 530373694 141965390 564084814 1000000000000000000 36542088 25026539 64957 23843977 1000000000000000000 165527996 126815059 80829402 133887159 1000000000000000000 814786872 91717117 751852368 377303888 1000000000000000000 918957235 17042013 754490623 327282183 1000000000000000000 783343365 707450666 441534288 752878353 1000000000000000000 739368508 273244251 552618666 618708407 1000000000000000000 997302547 352420604 568621809 3022893 1000000000000000000 35251461 21690759 20753577 8549439 1000000000000000000 86479974 71121341 49234049 44365069 1000000000000000000 371206853 195716657 190965377 286573902 1000000000000000000 239875741 97642707 68223039 238146807 1000000000000000000 975514534 808427596 888805523 949450452 1000000000000000000 211088985 180620378 138274954 93176790 1000000000000000000 31656607 30375063 13362271 14150677 1000000000000000000 348643100 9209861 194188029 312090221 1000000000000000000 818339054 349547792 312536080 346209773 1000000000000000000 986378828 951898574 229001787 464259952 1000000000000000000 44101221 4006029 4627475 30242742 1000000000000000000 504841800 397988390 124024311 493691939 1000000000000000000 921722621 153355895 109106786 619256308 1000000000000000000 470915822 332788705 287578660 294777766 1000000000000000000 559041006 147605719 290791877 554707375 1000000000000000000 323028535 210599197 107595596 215077675 1000000000000000000 301744086 102239112 211835549 268052747 1000000000000000000 290666953 221909644 168738654 15481282 1000000000000000000 892393096 815286113 677145362 675057871 1000000000000000000 965941495 89238413 302054797 635861965 1000000000000000000 851783425 586958815 761568502 151711215 1000000000000000000 94149556 84527057 17695641 43100472 1000000000000000000 677947669 174646563 594654698 656226187 1000000000000000000 800075550 219782017 632721797 377724350 1000000000000000000 178344751 78989069 158501622 49367508 1000000000000000000 286193943 190666399 166696962 89946051 1000000000000000000 809876646 666476376 126850861 361701520 1000000000000000000 753476732 446922372 116297414 366155196 1000000000000000000 311827839 39938615 296941465 110906602 1000000000000000000 558794132 239362268 528105886 252930422 1000000000000000000 445516964 224062972 78071080 427165964 1000000000000000000 195558454 20984227 187693598 82748757 1000000000000000000 42397526 12147233 22094181 18705939 1000000000000000000 354209892 252293375 179047722 282673471 1000000000000000000 710085740 129632414 486509093 62940044 1000000000000000000 906696282 318921841 319163491 218473831 1000000000000000000 212129488 103860365 75638068 195653275 1000000000000000000 478945899 194030485 338580738 213027078 1000000000000000000 403691617 2082261 176050166 371533323 1000000000000000000 938712254 583906634 693846886 154475396 1000000000000000000 685350247 166449612 370163669 326714825 1000000000000000000 226540064 104782619 74589265 57966543 1000000000000000000 235290831 191833033 60272 229903622 1000000000000000000 572565105 484138842 25128269 42015561 1000000000000000000 882812285 411783337 288832958 403240892 1000000000000000000 173847114 141403345 34375613 102632813 1000000000000000000 986106321 265987710 649431895 755208354 1000000000000000000 525190441 77591897 447891888 151310338 1000000000000000000 85587981 9516226 28538148 57876078 1000000000000000000 469350571 198926278 16168122 134693755 1000000000000000000 204873584 49385679 88393644 78119901 1000000000000000000 129730007 126096725 51290978 62495599 1000000000000000000 422144119 348531909 52994320 5276102 1000000000000000000 621050164 303618622 356377187 578789847 1000000000000000000 125814858 100219510 76501597 120275364 1000000000000000000 776809626 100289867 367912064 14673317 1000000000000000000 650410738 437368044 626338027 265209713 1000000000000000000 455291485 386459338 252196832 451279266 1000000000000000000 456306971 110106307 100097382 72578510 1000000000000000000 513322812 216953454 163900899 196512608 1000000000000000000 261590131 159752002 242390904 83030237 1000000000000000000 853357603 742901239 373340376 359289213 1000000000000000000 838540538 281111944 212422605 246093599 1000000000000000000 508754415 6182637 483407835 43485489 1000000000000000000 673927471 190460114 621778201 328972601 1000000000000000000 154867570 91313773 37213544 154193518 1000000000000000000 517037721 202228509 205570961 384641125 1000000000000000000 525483595 212175456 167059935 282440496 1000000000000000000 293778592 62130320 266619185 220402090 1000000000000000000 899348615 246415981 36802100 854617537 1000000000000000000 528747651 452637888 291085689 422254179 1000000000000000000 791763064 711309936 223188199 688478784 1000000000000000000 683196145 553884495 327236663 480798664 1000000000000000000 783352219 378307190 659788543 407720482 1000000000000000000 157187490 41485225 118132481 131393089 1000000000000000000 213999210 157685967 9456164 104166797 1000000000000000000 894027575 818387775 707867865 374490375 1000000000000000000 887792762 492357956 871019707 345068986 1000000000000000000 976268924 334318666 563412421 752043441 1000000000000000000 91727838 74084246 1552163 28922591 1000000000000000000 100299432 47358589 61345786 31343373 1000000000000000000 935011479 328959066 444929159 805705308 1000000000000000000 275813747 127930670 60069458 148529361 1000000000000000000 972695457 767334416 104109318 892977329 1000000000000000000 168395290 149618273 90588413 45060692 1000000000000000000 184930776 181416922 61434005 115759777 1000000000000000000 455819399 152431585 257840451 296534959 1000000000000000000 395650093 313552540 44279198 338068823 1000000000000000000 798615846 514699047 466603800 467533496 1000000000000000000 2262802 508742 1684618 877741 1000000000000000000 792216866 591499481 653711711 207978520 1000000000000000000 438550734 339599466 295909327 424879888 1000000000000000000 157516963 1811656 53247425 59838213 1000000000000000000 776970474 740333813 337801779 96064378 1000000000000000000 66477177 48430875 21358908 42194810 1000000000000000000 31960833 10863458 12131621 17464878 1000000000000000000 242172957 50380727 197520797 58458810 1000000000000000000 754473689 654307879 748067010 507198644 1000000000000000000 382593679 265215384 372809796 273438681 1000000000000000000 114810686 68143480 17376620 65529253 1000000000000000000 769622748 205156471 395408658 313409996 1000000000000000000 123336004 101544560 28187087 45256807 1000000000000000000 57080991 52227684 11990543 19363102 1000000000000000000 963707246 857110092 69499554 597840765 1000000000000000000 679739113 84263521 254944598 65630725 1000000000000000000 316793192 60562097 229276017 1677161 1000000000000000000 931017295 905613681 380096702 822988982 1000000000000000000 979822934 425443251 459842437 696381683 1000000000000000000 811193789 504134980 648582798 702054350 1000000000000000000 727423341 41996023 107698976 705897017 1000000000000000000 383466154 233031559 124363299 266837607 1000000000000000000 910528940 625372141 850189039 438377127 1000000000000000000 687553667 320021599 609145535 438171666 1000000000000000000 696817199 243615325 104464846 76552720 1000000000000000000 614893324 425614586 536023356 590271923 1000000000000000000 224510833 10941069 136021097 189679956 1000000000000000000 15013088 858534 10926074 14169913 1000000000000000000 78933133 6935887 71160058 38861298 1000000000000000000 95124859 21522368 80917513 75897915 1000000000000000000 691432470 96683278 84980676 99896818 1000000000000000000 411304696 94069578 270815552 158032489 1000000000000000000 479388368 110975055 344232622 273721171 1000000000000000000 458400038 665030 263745178 31618049 1000000000000000000 258635831 59753385 183214198 6172844 1000000000000000000 698445418 569511100 414703076 351927296 1000000000000000000 428807888 319098109 84636582 25566640 1000000000000000000 969850977 605523984 224226052 775501175 1000000000000000000 550949270 172378727 381704531 43636557 1000000000000000000 941627769 491656917 251210933 298337970 1000000000000000000 401147414 95463159 149369324 332661364 1000000000000000000 743173759 77826256 94324779 390402940 1000000000000000000 159992314 158911617 120464415 37386304 1000000000000000000 905847298 167060006 208372695 584125155 1000000000000000000 306316313 253422341 280882090 42889376 1000000000000000000 985236600 32921936 835381167 374580043 1000000000000000000 65830280 53763168 50621509 27421802 1000000000000000000 567019418 541032484 318930010 113195110 1000000000000000000 394135693 92973054 210805466 252267207 1000000000000000000 449091942 104550095 62260093 311498897 1000000000000000000 799276431 276972916 601621014 280747316 1000000000000000000 667717235 525690626 248312192 218761929 1000000000000000000 213401641 55365160 203461704 5415347 1000000000000000000 628087659 117645864 488087251 562649353 1000000000000000000 553494749 96929537 359931585 455440913 1000000000000000000 962778320 476645390 451956815 303114053 1000000000000000000 756969468 252873665 664058726 320510782 1000000000000000000 723041284 479345736 473275778 223551681 1000000000000000000 682461210 397944058 293080798 331450908 1000000000000000000 518661872 409757723 6412553 177456698 1000000000000000000 70306488 48462159 21129916 2305953 1000000000000000000 769297493 240746493 767132734 117136620 1000000000000000000 210727419 74597615 12138945 72898547 1000000000000000000 118689599 114147214 118503689 78458741 1000000000000000000 845392472 127306362 478931278 806589952 1000000000000000000 445734648 1841512 186202100 218026579 1000000000000000000 889107818 839064607 591481794 473762388 1000000000000000000 99399516 86620700 30689460 47331144 1000000000000000000 934233674 177814582 146155063 228045707 1000000000000000000 708557042 348633425 77977777 11108795 1000000000000000000 661537917 381357537 97075640 17084786 1000000000000000000 991866774 42990373 178233755 704206618 1000000000000000000 813319638 801692461 308798691 348769501 1000000000000000000 757494542 224585136 584448012 73950207 1000000000000000000 461036650 378303540 220879507 333527443 1000000000000000000 986578697 701320719 480833955 240138599 1000000000000000000 715625888 577226457 103812702 524959140 1000000000000000000 276983591 191071709 110028491 252631653 1000000000000000000 620282438 199579530 363238690 463733090 1000000000000000000 560469897 138806957 380635067 549625387 1000000000000000000 392473263 381678478 336977483 238630448 1000000000000000000 960495955 790251366 809778489 394874616 1000000000000000000 522948801 291235557 284790560 110160390 1000000000000000000 260272474 5797670 48722162 219151712 1000000000000000000 553973221 541577979 120429903 147524288 1000000000000000000 64141186 40379115 9053295 10220639 1000000000000000000 547932860 481191222 278061547 184482112 1000000000000000000 289989925 95136867 113727113 125919790 1000000000000000000 594670139 123026284 122151293 173788861 1000000000000000000 641172817 319680134 172289899 406592758 1000000000000000000 129048546 21474358 49107456 32171221 1000000000000000000 104339785 39784841 62072850 57398491 1000000000000000000 27292450 24101500 13654190 20228539 1000000000000000000 219013698 146076761 135799156 30496405 1000000000000000000 380708526 324272370 362907058 210701191 1000000000000000000 351652952 78997269 165282031 26892595 1000000000000000000 742786391 7963915 7621027 294403517 1000000000000000000 264855775 145151165 189104493 53975551 1000000000000000000 787041828 567085591 681051249 501854747 1000000000000000000 705098298 521075410 5070820 10682567 1000000000000000000 624669556 183504280 178827787 470344462 1000000000000000000 959354784 378421186 696577755 430181876 1000000000000000000 120835265 104904531 28693041 13259388 1000000000000000000 867742117 500488449 74052291 537001554 1000000000000000000 220930605 193514662 75130975 73961001 1000000000000000000 93996961 53841836 12915496 61531099 1000000000000000000 556087422 421502562 49105574 20427132 1000000000000000000 465932865 1284018 123448371 101501164 1000000000000000000 257394683 95014296 113144624 150014208 1000000000000000000 283577365 245511427 217837372 207011014 1000000000000000000 101276403 17765285 14160231 45771759 1000000000000000000 392161910 389153606 38998629 332668832 1000000000000000000 6259661 1586422 4844127 3904203 1000000000000000000 969365347 102784289 776414030 382526033 1000000000000000000 434564843 90931807 151851738 171535505 1000000000000000000 51328333 811323 2237059 16208708 1000000000000000000 68408563 23954271 64604429 49613074 1000000000000000000 676857892 309372558 649571819 458042708 1000000000000000000 274836116 148507089 69455493 135093428 1000000000000000000 613711463 299047917 555488172 344102654 1000000000000000000 37646320 19554629 2988165 20471569 1000000000000000000 746746640 430453207 257267762 274642003 1000000000000000000 668156576 65572835 399538423 10943814 1000000000000000000 594789617 449885552 458184680 246179559 1000000000000000000 762829275 108206838 538845757 633512234 1000000000000000000 897665322 188816529 811827219 775943555 1000000000000000000 725971753 627977107 170493341 470859896 1000000000000000000 912355704 14161665 470502097 539687242 1000000000000000000 142377359 47644888 61505918 107344048 1000000000000000000 891581052 679137946 287015930 743366096 1000000000000000000 324173565 318931081 130703911 278267351 1000000000000000000 122678056 26918768 16603556 67876271 1000000000000000000 525808400 178737301 521374594 413880557 1000000000000000000 755324866 204600835 691692100 109018083 1000000000000000000 99307779 74734672 37531455 14544401 1000000000000000000 576726407 221611965 170532876 142397841 1000000000000000000 872969277 47295709 356710329 289837844 1000000000000000000 419059553 276189938 85215389 68260519 1000000000000000000 569375573 155292997 374094355 216770227 1000000000000000000 538623652 89339954 35773054 512577335 1000000000000000000 400943754 342210262 218005100 289039472 1000000000000000000 425218818 340169699 393090404 37315940 1000000000000000000 50185359 28029188 15526820 2113291 1000000000000000000 662049012 232426598 377882973 269011221 1000000000000000000 702819227 36202588 60550286 30497990 1000000000000000000 889593317 665933866 415863049 435035686 1000000000000000000 587149958 23134484 340187581 217112797 1000000000000000000 741458387 280004212 721935749 227583245 1000000000000000000 275347661 154757335 218505098 146408613 1000000000000000000 205217829 134937216 98847244 2529324 1000000000000000000 232849038 201192740 91053781 194326389 1000000000000000000 422022122 44042759 240685055 188474767 1000000000000000000 173805785 55167538 132700859 79634541 1000000000000000000 390846585 137796535 86459252 363683702 1000000000000000000 393133278 68015822 181671955 133130459 1000000000000000000 542416354 298358531 245972744 20449733 1000000000000000000 720258440 470591597 451567717 655981420 1000000000000000000 924212690 913556137 651839275 664641908 1000000000000000000 241650591 122926912 191419891 161361054 1000000000000000000 169185327 97097408 23520963 15047727 1000000000000000000 265120709 156489489 139238840 229204747 1000000000000000000 886256133 59328993 604441430 746158288 1000000000000000000 40669000 5841896 29706124 1623815 1000000000000000000 305789552 2846 39971500 255364649 1000000000000000000 218942626 131936795 165693095 134012270 1000000000000000000 886805201 724289590 235765636 739493483 1000000000000000000 481696584 213868819 202281601 76700051 1000000000000000000 717734440 462599058 229958729 363843118 1000000000000000000 571131577 479317241 538500343 104864709 1000000000000000000 223078640 154676991 101867656 199979011 1000000000000000000 681808402 451711082 678862191 105888180 1000000000000000000 81141119 1111891 56267074 25368873 1000000000000000000 627502920 51275252 138780934 218844892 1000000000000000000 583495629 516264680 444899066 501335744 1000000000000000000 882297044 301334667 179063193 250041792 1000000000000000000 707790095 356437978 439928264 692085128 1000000000000000000 639951677 145680867 109855716 74817285 1000000000000000000 763239704 469998149 391825068 456033183 1000000000000000000 913880887 755507375 170210386 462053219 1000000000000000000 245767475 145221485 38156682 69941738 1000000000000000000 984324632 128202953 34169764 873433796 1000000000000000000 368966126 277497202 143629432 331098337 1000000000000000000 889399494 322525084 830150459 301319909 1000000000000000000 271720789 16475355 181421302 21204545 1000000000000000000 107664024 47015317 60157007 61474141 1000000000000000000 404018966 354667821 396023267 154987632 1000000000000000000 27052467 99479 18095196 21968276 1000000000000000000 565452079 54404490 211152594 438428779 1000000000000000000 914502913 896759505 621623991 664242968 1000000000000000000 438675639 136780038 264762163 236489174 1000000000000000000 254744466 139270771 240793397 15652922 1000000000000000000 55053797 13887131 46908114 44080242 1000000000000000000 798939319 694557479 714199943 578873495 1000000000000000000 799572724 628576427 767189044 756923864 1000000000000000000 703946090 557410926 671653702 601315231 1000000000000000000 56188028 24050819 29449917 55254250 1000000000000000000 372077081 153126098 199417038 326159418 1000000000000000000 223111768 64398870 180592927 39242862 1000000000000000000 898018328 893293527 773516117 667373677 1000000000000000000 988662587 355414033 456449966 364480438 1000000000000000000 661325645 20109893 248939692 491518069 1000000000000000000 150683856 148473771 78893568 17348478 1000000000000000000 287265267 59292218 177859633 118898667 1000000000000000000 415605954 411703668 367762535 308324020 1000000000000000000 530230099 382876311 28014574 478614739 1000000000000000000 611466986 56165773 79100701 109261986 1000000000000000000 195157800 176395825 194137354 23408232 1000000000000000000 850024343 803024578 604253812 536942059 1000000000000000000 550833990 239914979 462231507 401361059 1000000000000000000 12710673 77042 8144888 4150684 1000000000000000000 665971971 148672855 473846356 185694979 1000000000000000000 772039543 481339936 387501543 208390626 1000000000000000000 434439308 78828697 356461564 370192585 1000000000000000000 803841886 307767598 399696015 798447702 1000000000000000000 437125747 178108792 361326722 35911279 1000000000000000000 263162558 59406158 111318030 155882704 1000000000000000000 752654178 715114681 229911458 442852083 1000000000000000000 681959819 354511721 631248734 383468556 1000000000000000000 264828078 246915341 208264158 43796184 1000000000000000000 126889171 101046647 56291895 40503697 1000000000000000000 912741028 810085594 685694561 231065372 1000000000000000000 541609774 240515718 508035758 83492972 1000000000000000000 328346769 285222828 53800388 316847579 1000000000000000000 875853658 317992905 792994066 593562193 1000000000000000000 55019327 54423882 13852704 9571653 1000000000000000000 495356743 418935475 94945116 235438207 1000000000000000000 130507596 15749036 10006019 108133675 1000000000000000000 387718973 116998482 71592907 72881530 1000000000000000000 250013775 101414389 26734059 77399961 1000000000000000000 54652886 46047567 37699316 39782373 1000000000000000000 770712169 504138542 379029016 754755953 1000000000000000000 444405843 270558821 36893840 93603881 1000000000000000000 848920625 543220140 519967257 521230490 1000000000000000000 609998879 384234745 528835102 559014478 1000000000000000000 29547831 459744 26625555 18903913 1000000000000000000 508964813 488430622 316737031 250434979 1000000000000000000 538570130 105854435 195323063 49128811 1000000000000000000 769004499 360485571 589769824 437806738 1000000000000000000 382080665 110938522 4547754 121840264 1000000000000000000 184046520 56647510 176319776 13265940 1000000000000000000 249857788 203588048 242220701 96944584 1000000000000000000 176792280 35068187 35358522 7001467 1000000000000000000 195855697 187154664 140013465 114539005 1000000000000000000 139278448 128253812 86670020 59009628 1000000000000000000 17014047 1941151 16807125 7199773 1000000000000000000 458266840 315402383 288759388 432773835 1000000000000000000 904727190 642129438 773329783 124501836 1000000000000000000 782241668 176274640 336385615 592719378 1000000000000000000 978293370 353854417 509832818 755302506 1000000000000000000 660351399 347387562 215424163 384834267 1000000000000000000 845412647 589394791 476646583 464079090 1000000000000000000 521103546 333003968 143198942 401198791 1000000000000000000 678110775 318197138 132667531 594578571 1000000000000000000 534499418 97184936 195620946 394144864 1000000000000000000 869203576 633316677 440766517 154397512 1000000000000000000 990215220 144762690 698870887 422083530 1000000000000000000 733366555 713822980 636530389 313878469 1000000000000000000 177321823 63821918 44565571 97407291 1000000000000000000 249010168 153081886 117003245 192100999 1000000000000000000 632921494 301143733 216809399 54229515 1000000000000000000 499234445 216994839 462877924 75562702 1000000000000000000 930684140 701081628 429381465 86033732 1000000000000000000 996098980 317355677 288523321 785346822 1000000000000000000 358186236 316863991 238635053 313660606 1000000000000000000 973432486 51045481 928009699 522447864 1000000000000000000 772641432 539555054 677776851 416823409 1000000000000000000 728479576 123084056 439763402 475850540 1000000000000000000 769547619 266957860 727368389 653773753 1000000000000000000 779583186 428763458 640616215 622247499 1000000000000000000 595795340 429056831 17516540 414745915 1000000000000000000 866588939 654929177 263765921 691988751 1000000000000000000 9198494 3457687 2741603 906005 1000000000000000000 855398154 442736653 291092983 450683084 1000000000000000000 782175625 172777615 387998253 346280074 1000000000000000000 482346200 270533541 191789513 76118057 1000000000000000000 712936843 11863758 560284086 408669675 1000000000000000000 871477714 649340802 585207500 809393515 1000000000000000000 177330560 54381590 312620 160800682 1000000000000000000 764523066 261985665 489133827 510053847 1000000000000000000 463441264 390052595 454615079 429466596 1000000000000000000 228572812 224663283 179512501 152027532 1000000000000000000 213140838 185952459 148596955 206014162 1000000000000000000 4762336 422653 3400745 4108892 1000000000000000000 789757432 620616157 498603827 273623750 1000000000000000000 196594646 181730813 69412078 108370313 1000000000000000000 679364662 404332310 55784215 377164652 1000000000000000000 436057699 392607911 192018153 333276837 1000000000000000000 170946965 51364191 150477146 59707086 1000000000000000000 723611196 716160867 2691624 355603429 1000000000000000000 579135254 6591595 35487717 152819541 1000000000000000000 783425565 1072056 412028572 698220589 1000000000000000000 783440589 224435711 717484267 561781860 1000000000000000000 538639828 227004673 475946832 249237309 1000000000000000000 682881869 546704798 329789540 224132280 1000000000000000000 805709761 91864091 288553887 682432607 1000000000000000000 24059513 12252711 17496323 198451 1000000000000000000 975821138 613589745 236779964 176255051 1000000000000000000 614920890 334372916 56786787 209466320 1000000000000000000 670625736 555131831 35138669 67737473 1000000000000000000 153036273 130702517 43951110 61074207 1000000000000000000 23370413 6172693 4606989 21911351 1000000000000000000 1388858 442819 1073050 1033273 1000000000000000000 393136119 260754134 299067522 195856776 1000000000000000000 551526055 269012863 544367384 409433017 1000000000000000000 193929656 114121834 158636689 150860841 1000000000000000000 592979178 504436686 5567301 400877438 1000000000000000000 292884354 201312533 172991577 186620543 1000000000000000000 36048402 16324500 19276846 7327617 1000000000000000000 994514406 213408313 91658369 963910410 1000000000000000000 860788190 831842441 630259795 787223079 1000000000000000000 545960557 397071941 156923056 19387905 1000000000000000000 816718237 797836572 202312903 492872664 1000000000000000000 276682848 32702189 258544732 207855700 1000000000000000000 422343942 29013885 317710377 118403427 1000000000000000000 378362938 37211728 37947956 371359137 1000000000000000000 276485731 152062770 90308973 89908646 1000000000000000000 260200188 91895819 104216542 242385871 1000000000000000000 374383212 205799016 96963321 206016084 1000000000000000000 925467260 692767948 835047535 487050743 1000000000000000000 967953963 189350448 363118967 874396683 1000000000000000000 442874721 37232147 117743420 421550929 1000000000000000000 581106090 524757368 555781175 139584536 1000000000000000000 372386120 369958063 132587212 83258795 1000000000000000000 526977389 194270694 353626940 147841985 1000000000000000000 752795612 72496839 704262383 730071793 1000000000000000000 52228009 28413811 15473715 47619549 1000000000000000000 772235009 129889792 318476557 73514069 1000000000000000000 581293298 27962706 306610896 565621784 1000000000000000000 833719337 587788804 207050621 240712612 1000000000000000000 364853925 192904671 55990348 16334527 1000000000000000000 843736857 441242862 495036810 580531003 1000000000000000000 748151892 593221000 571032177 263102818 1000000000000000000 640174303 42528301 121311328 10968282 1000000000000000000 530641001 72243438 360562816 132629012 1000000000000000000 814533813 505526220 625434593 515471782 1000000000000000000 457941550 179574828 167948271 446986266 1000000000000000000 511008423 3860634 236402228 458432147 1000000000000000000 632620256 98008832 509420844 377334240 1000000000000000000 513753294 75923994 315630732 305146477 1000000000000000000 571210752 84259899 35660467 83319831 1000000000000000000 209062579 180417380 184982364 12907646 1000000000000000000 504258050 205688820 388445754 479043608 1000000000000000000 729646075 397441650 311353690 250217342 1000000000000000000 715716482 117356376 119090605 171650970 1000000000000000000 921550922 580988501 833876841 770780389 1000000000000000000 472076484 79490027 117190503 384953141 1000000000000000000 923082034 843376312 83493258 54226174 1000000000000000000 662144255 483288026 398145207 219287945 1000000000000000000 545107859 103191594 374050149 162009850 1000000000000000000 669924489 457580421 327133398 250672769 1000000000000000000 132217430 100026870 71864133 106432575 1000000000000000000 579763028 259532368 188343288 557737228 1000000000000000000 165985421 155323189 97257253 131305628 1000000000000000000 901841093 621442393 53760683 300799851 1000000000000000000 467463392 13819209 342806337 464380843 1000000000000000000 717878300 578214317 42816577 111913694 1000000000000000000 714701261 20902225 463374249 640258371 1000000000000000000 821732313 77245777 517550387 69791681 1000000000000000000 393509950 252262993 67893293 278768407 1000000000000000000 411055748 152796780 410101925 337594434 1000000000000000000 313612363 269409963 294516955 206582225 1000000000000000000 682033707 292857209 73741897 105512816 1000000000000000000 177141744 94455138 67604206 43321703 1000000000000000000 518637758 492214723 472825024 212604043 1000000000000000000 90293969 83456436 58927285 57849991 1000000000000000000 346090208 173814762 123175491 328410673 1000000000000000000 148228122 121451669 376150 281993 1000000000000000000 186963144 98998212 58783102 103746305 1000000000000000000 801487677 270346426 248568188 118352708 1000000000000000000 281289010 32474341 224486853 141894621 1000000000000000000 718141543 317979492 233606871 458024179 1000000000000000000 609060873 201907748 66486175 203221665 1000000000000000000 232266161 47194150 219272732 15032139 1000000000000000000 843730599 509074700 429389346 312993121 1000000000000000000 382724838 146029597 2463351 53607614 1000000000000000000 282668799 91007147 83582392 181933570 1000000000000000000 388777596 145267257 94504403 283372495 1000000000000000000 422605367 161108026 413673875 236296846 1000000000000000000 110414946 109273831 34292917 85339383 1000000000000000000 869037758 357440323 858255776 4473637 1000000000000000000 520146420 459058896 5417257 395746555 1000000000000000000 498745839 57376660 432536526 374596727 1000000000000000000 870367892 615149684 492497128 206932850 1000000000000000000 240014614 122408888 127742652 44288591 1000000000000000000 810360970 692254265 303325451 522252517 1000000000000000000 803277436 228688363 169422137 605867714 1000000000000000000 102971967 44744498 13874873 88720678 1000000000000000000 62841574 37965275 26858489 53210494 1000000000000000000 160514508 54145278 47080060 149905851 1000000000000000000 744233872 516242744 393030739 591947343 1000000000000000000 678201769 190988950 347790795 427977670 1000000000000000000 186742539 53748018 14466039 110964311 1000000000000000000 218658341 176940688 64891182 8507156 1000000000000000000 772728005 207565579 181575114 735900156 1000000000000000000 711419910 570841177 515665068 158487978 1000000000000000000 53736981 13207004 675554 25021447 1000000000000000000 6480354 4925542 2316344 1948498 1000000000000000000 370876362 75921294 271936959 241976847 1000000000000000000 893138408 87457551 370140307 519864616 1000000000000000000 262484517 121221652 108927451 100640311 1000000000000000000 401154351 20689030 168912311 48402769 1000000000000000000 764161675 671365022 352004118 444004561 1000000000000000000 14094670 9708 12021271 12881737 1000000000000000000 221128112 192777855 148617467 121194482 1000000000000000000 468851851 308006134 183469494 466821564 1000000000000000000 632911618 211321332 36878813 415424797 1000000000000000000 859666198 859309168 298792053 374458942 1000000000000000000 515281733 323399362 580649 196776711 1000000000000000000 615407101 89117165 72191297 590201164 1000000000000000000 965708321 668754957 558252980 509565846 1000000000000000000 655090919 614775445 413528884 618199494 1000000000000000000 115494291 72888234 84075086 100336984 1000000000000000000 358448343 251114502 98468090 128193649 1000000000000000000 381025221 273758144 87463689 96695644 1000000000000000000 563187458 474435744 432443499 376254548 1000000000000000000 61167116 52039871 1542655 52661514 1000000000000000000 994830150 620577540 811236817 764584782 1000000000000000000 952011108 617388998 778481460 920506301 1000000000000000000 325360985 217160091 171132503 179936374 1000000000000000000 25145331 6247859 6300219 10500869 1000000000000000000 973629249 919000162 81400412 116478978 1000000000000000000 577649348 372686714 272855640 376073876 1000000000000000000 763565072 119273593 199313945 600420062 1000000000000000000 16895829 10924641 4698648 4088837 1000000000000000000 80344183 29263675 14919571 58717374 1000000000000000000 57961640 28935412 24990727 43133917 1000000000000000000 506876981 183720995 205113472 358381506 1000000000000000000 407649435 355528915 35807618 194883687 1000000000000000000 502280289 326213663 142810334 96888112 1000000000000000000 555887230 227005290 115090726 207033677 1000000000000000000 929637975 5638559 415382186 70313453 1000000000000000000 412446456 39787042 13121010 196414247 1000000000000000000 943829457 195126775 127913651 575012876 1000000000000000000 59875969 34400137 13136925 32367052 1000000000000000000 997368294 375861496 522463040 210207717 1000000000000000000 753996811 211897544 325137910 745811752 1000000000000000000 559866107 416909892 310960586 67564258 1000000000000000000 324681420 177410738 87181244 25172432 1000000000000000000 645967944 529662333 226817601 355828929 1000000000000000000 443031289 310365283 153630669 95158884 1000000000000000000 574417511 541437212 343333529 555935757 1000000000000000000 315525184 198213284 305880424 63361309 1000000000000000000 593220987 401435404 40799163 445137820 1000000000000000000 78110291 50235967 60284354 77413175 1000000000000000000 629105753 264245857 335309801 420195365 1000000000000000000 291639002 260847257 80588482 49326747 1000000000000000000 827139279 621410184 277381443 209474484 1000000000000000000 58070356 1547739 53749569 16217293 1000000000000000000 178304447 55136994 146032344 169122601 1000000000000000000 991607401 813507843 83512212 239611847 1000000000000000000 957068571 78385848 738030754 894096242 1000000000000000000 252337085 213098933 175211999 36085912 1000000000000000000 237547902 211985823 190253289 224828927 1000000000000000000 616085845 543435026 461478876 201481284 1000000000000000000 822849924 707347729 83180205 254792485 1000000000000000000 915793393 83426879 64005587 356022395 1000000000000000000 527353383 387705036 258319575 228796099 1000000000000000000 607155375 84916904 275342571 492160708 1000000000000000000 578773585 59165483 384042196 22612014 1000000000000000000 900336426 48239501 389630754 104278154 1000000000000000000 490577286 180491759 45245289 18683768 1000000000000000000 884005834 854577208 173239346 51855110 1000000000000000000 185934500 147126579 133868101 184077743 1000000000000000000 549510724 497148568 515524909 127951632 1000000000000000000 343743983 308343416 209075364 173101012 1000000000000000000 419745208 256325515 275724536 62654034 1000000000000000000 425459928 364674251 235587706 403686216 1000000000000000000 478062634 397384111 405871115 69777795 1000000000000000000 81758473 1188649 73442667 26465923 1000000000000000000 803948401 540134929 238732723 264928767 1000000000000000000 260682310 156058695 41255841 8392361 1000000000000000000 302784765 260194991 47980727 175356119 1000000000000000000 516591683 335686010 63290180 284442297 1000000000000000000 810167235 436565132 229441980 117987120 1000000000000000000 180576622 50161745 73311314 29662066 1000000000000000000 692555252 154996146 640511582 240058669 1000000000000000000 845907425 173330024 348221580 222328357 1000000000000000000 363492636 103625157 191368947 198637631 1000000000000000000 399682376 100196099 208764925 379145991 1000000000000000000 436983510 157916670 326368438 257690228 1000000000000000000 69843441 23493490 1140041 22417994 1000000000000000000 458503679 51739037 135322768 19121607 1000000000000000000 416652628 413968542 382797827 402381611 1000000000000000000 226692078 11853778 145979848 64361092 1000000000000000000 753617514 711784902 104065550 1704069 1000000000000000000 412497733 229399521 250029193 110118715 1000000000000000000 236041665 106570154 121177120 75567107 1000000000000000000 977368450 463834706 463831581 690286773 1000000000000000000 72993935 14080811 40738941 37557692 1000000000000000000 856535373 356498750 315462457 792027643 1000000000000000000 528457570 410694759 233039266 73702863 1000000000000000000 442010863 351627961 156728815 300100997 1000000000000000000 720541780 111430850 202215359 221442194 1000000000000000000 287715226 215721874 181847940 84576558 1000000000000000000 188509039 94166195 114681598 72996371 1000000000000000000 159253984 123587537 75085677 69290341 1000000000000000000 324949745 115438196 111373200 245475452 1000000000000000000 397281180 220271572 85992881 247387346 1000000000000000000 350331186 94339683 189102245 136031846 1000000000000000000 132022195 47626146 74159909 5261208 1000000000000000000 667429047 179063455 369798277 380219584 1000000000000000000 203532481 113444195 36890604 49948960 1000000000000000000 906874316 783220362 539790017 821205850 1000000000000000000 31261370 2277118 19712726 5539898 1000000000000000000 553024476 246638949 209721064 481565018 1000000000000000000 286534370 265419623 227823906 177066823 1000000000000000000 174180278 91084280 117062234 27225399 1000000000000000000 509062760 383598235 292516657 459967206 1000000000000000000 332914554 1379630 253839022 51643966 1000000000000000000 631205625 109221349 61520504 64005899 1000000000000000000 797157348 636128415 341107392 527746560 1000000000000000000 716622584 587508857 42677692 35660655 1000000000000000000 472359110 110372529 267365442 374588814 1000000000000000000 492991449 60222783 438474323 328941478 1000000000000000000 904609413 794310020 825071857 461807974 1000000000000000000 126541684 21636562 3961434 47990314 1000000000000000000 54406528 40143600 6989307 17926028 1000000000000000000 530866324 353878845 162576036 300514951 1000000000000000000 188924892 125285603 41944653 184691530 1000000000000000000 828174683 257394910 554525908 365353828 1000000000000000000 32803107 3096769 14521544 14162434 1000000000000000000 715101903 464083388 435679130 350648753 1000000000000000000 898855034 11328496 874363596 766340760 1000000000000000000 69975489 69023302 60246204 54593171 1000000000000000000 717107394 625532336 381253449 152386835 1000000000000000000 321428311 1928963 305114369 124085190 1000000000000000000 650348619 396539105 324482048 75236565 1000000000000000000 169990927 123397268 132170026 52931664 1000000000000000000 108727974 65801930 2690481 37010982 1000000000000000000 174162314 66573996 149912735 146031754 1000000000000000000 847013977 617642885 38135666 666440274 1000000000000000000 42218520 27881551 6624075 20794160 1000000000000000000 932328000 921484580 148330724 644664729 1000000000000000000 830264610 32374557 573017065 452688073 1000000000000000000 346326932 66153549 206496907 76237962 1000000000000000000 911243201 589872831 341556339 46756199 1000000000000000000 488630309 315204630 187450383 405128363 1000000000000000000 338332149 46304428 159426193 87732574 1000000000000000000 726336684 680909187 603588257 73933780 1000000000000000000 434413440 287627636 323066700 33106914 1000000000000000000 215966025 208721232 183598419 98038736 1000000000000000000 191654595 123111240 83198982 173765181 1000000000000000000 813196373 638080302 155892609 353134128 1000000000000000000 667636674 76976279 523321352 289197240 1000000000000000000 595207237 188216137 566779238 574658393 1000000000000000000 501349448 11249532 329014879 252064922 1000000000000000000 729341716 122977119 657225454 69658807 1000000000000000000 43092862 15516430 17755384 15374858 1000000000000000000 173508574 97662823 414198 27953497 1000000000000000000 204085596 199110090 30195222 51433132 1000000000000000000 968050768 887145364 777682433 800896800 1000000000000000000 645010352 40802535 56059296 636665623 1000000000000000000 667466408 604043428 66450674 575812651 1000000000000000000 325938416 67298051 137127806 65652211 1000000000000000000 459240890 49586433 284986765 106224623 1000000000000000000 466359013 209129000 200728463 13915118 1000000000000000000 587724984 76142171 172659251 554868495 1000000000000000000 669027226 594871921 158872289 579030944 1000000000000000000 978485615 169090270 360261638 431629935 1000000000000000000 456066297 339519349 454821653 93446222 1000000000000000000 624459388 159297643 98555511 453665055 1000000000000000000 330037479 325234689 68730506 83415032 1000000000000000000 128708607 1408964 72444671 34145582 1000000000000000000 694951533 622681648 3775134 469056408 1000000000000000000 782799623 488277636 532062954 573344980 1000000000000000000 243134624 111390234 79903186 218047571 1000000000000000000 319803212 162324256 99580081 5837019 1000000000000000000 118610221 37033305 67548888 69894651 1000000000000000000 314603775 82997276 37039551 225558222 1000000000000000000 937007270 249554320 6606684 165859844 1000000000000000000 430077821 345367171 408379998 139749959 1000000000000000000 261345818 174900145 148398191 157104743 1000000000000000000 431173144 8239407 225201008 228161501 1000000000000000000 553514947 54163959 62069675 396509102 1000000000000000000 651445415 489543511 627180662 586786575 1000000000000000000 197509871 115372122 58780083 125240685 1000000000000000000 704645754 88519195 457802508 451558463 1000000000000000000 83645160 21162299 45329498 58414728 1000000000000000000 680274002 567978309 41342238 542240565 1000000000000000000 800558950 530715952 298493102 585196567 1000000000000000000 971510644 352419491 704165660 52867554 1000000000000000000 652502975 69958449 593462255 638943943 1000000000000000000 513721375 251308509 437778238 413995122 1000000000000000000 178491791 130562989 131711241 41005188 1000000000000000000 647457341 25989284 449925956 89282692 1000000000000000000 437624682 17686711 263641138 234821170 1000000000000000000 215435606 186635857 69279009 35650320 1000000000000000000 151362062 99768633 35629704 5872173 1000000000000000000 377853677 294704555 17301933 125386493 1000000000000000000 981618261 836230925 912976539 373536910 1000000000000000000 490817202 199377126 202177915 19226685 1000000000000000000 215217408 29059253 68524484 160950164 1000000000000000000 671869273 136984054 541860322 616282472 1000000000000000000 723180523 343412666 240683170 280824367 1000000000000000000 58570523 16399848 9871141 35238911 1000000000000000000 242315424 129887339 128291571 166180835 1000000000000000000 416082328 47912655 136711561 170301527 1000000000000000000 622159034 491228947 33386021 84337302 1000000000000000000 970488447 728299299 24806034 61651321 1000000000000000000 921535583 9049322 620196728 385162291 1000000000000000000 112647668 100782183 86683401 9579869 1000000000000000000 142729646 13903844 123059776 84268997 1000000000000000000 941800393 400029930 178333756 579250771 1000000000000000000 65244969 4766212 12192613 62966639 1000000000000000000 269409265 207345868 195411096 118636075 1000000000000000000 422143437 245889593 80490883 97073509 1000000000000000000 5414099 3696725 3670328 2666588 1000000000000000000 129494444 116724267 67158945 31227436 1000000000000000000 727146093 113718822 262882905 85395710 1000000000000000000 27785439 4936772 10947115 17522084 1000000000000000000 853932594 669300221 718779025 504890439 1000000000000000000 292324580 207129768 14430006 99260351 1000000000000000000 792400807 702217320 689710413 136907782 1000000000000000000 788952047 400260384 621231756 341195237 1000000000000000000 203170263 36974863 77178758 104660133 1000000000000000000 963923474 529872895 22559841 281531353 1000000000000000000 920315192 878103240 588862728 76516210 1000000000000000000 876527948 735012882 151632706 33824805 1000000000000000000 386231709 116688723 284976810 9244690 1000000000000000000 422733435 206006005 183127674 323735245 1000000000000000000 885142296 349822764 300079830 447203939 1000000000000000000 731432885 685794698 103924448 561361667 1000000000000000000 752270258 371310016 58337610 9780935 1000000000000000000 747507330 561243893 235815057 122735315 1000000000000000000 999175341 443404336 949993567 303861554 1000000000000000000 840031934 476006558 745926230 48526235 1000000000000000000 872367128 599731576 597658055 126137154 1000000000000000000 834116194 705168337 408086022 586879963 1000000000000000000 380832386 12667964 269581196 223617674 1000000000000000000 206267283 122990472 21475663 185211856 1000000000000000000 498695874 332132077 113469533 222883714 1000000000000000000 246846749 203288027 157281121 193788013 1000000000000000000 994449251 60567965 616055634 756293452 1000000000000000000 827049214 303870612 251954927 264645259 1000000000000000000 377954484 19027443 99250718 207224937 1000000000000000000 688108402 552737377 29053525 362985226 1000000000000000000 7441998 463436 322037 300467 1000000000000000000 721449643 543156777 410137739 152508441 1000000000000000000 646708292 61380690 287170736 132390194 1000000000000000000 579973364 240963119 495898746 563028635 1000000000000000000 646081830 321901611 120402416 271647773 1000000000000000000 996925094 671878336 303779214 42031745 1000000000000000000 574095804 179685354 536739811 163438899 1000000000000000000 680140997 45176208 500670487 670654264 1000000000000000000 240799382 32660340 104733982 100348059 1000000000000000000 845637393 731197861 264883650 144953372 1000000000000000000 629495645 269900900 404985608 560056555 1000000000000000000 617967333 55080221 445573906 536848662 1000000000000000000 608923679 313084723 211006295 34279521 1000000000000000000 586298530 164612986 489335918 147019077 1000000000000000000 301672441 70224880 32404289 68285205 1000000000000000000 223047899 118460715 189097894 81784771 1000000000000000000 767100081 516797351 171946641 178857334 1000000000000000000 436074569 117087452 390143724 66309350 1000000000000000000 178112723 27328172 79169349 30012893 1000000000000000000 754539562 622458728 21039949 137326918 1000000000000000000 906399078 3590362 248015606 880962471 1000000000000000000 998641533 582096231 694041701 344888404 1000000000000000000 750788270 65522882 26013253 571001156 1000000000000000000 780116745 37032481 11999397 447695764 1000000000000000000 69584546 2148744 19390917 19364076 1000000000000000000 367202237 294652249 284884645 261586436 1000000000000000000 470210719 304643033 315065438 219862053 1000000000000000000 680025477 70489607 224518290 394414232 1000000000000000000 355449944 332447951 37461896 204299129 1000000000000000000 106534838 60249803 69278033 40778502 1000000000000000000 488963378 107419046 268410749 254236918 1000000000000000000 959612879 533744813 267525078 865516619 1000000000000000000 294425116 120625021 279929477 57603575 1000000000000000000 474550514 196991144 220578831 94973696 1000000000000000000 444356239 293133204 68944718 113861415 1000000000000000000 489573179 465440854 461462430 352869092 1000000000000000000 261335753 139303404 42423001 246495324 1000000000000000000 787483947 541411238 464859906 335043314 1000000000000000000 254824356 143842440 109265440 170359627 1000000000000000000 876389949 747449540 123289375 204388892 1000000000000000000 537449978 528065865 533224273 496877976 1000000000000000000 456529812 326813519 282833059 313971375 1000000000000000000 473185543 255525216 227894712 232934642 1000000000000000000 426875342 412428498 376249247 4006095 1000000000000000000 720791019 616491224 710550209 50576589 1000000000000000000 154735323 6126116 140971145 44978700 1000000000000000000 311527154 277384325 114531893 280890341 1000000000000000000 645543551 594537171 3689048 281349543 1000000000000000000 613295166 151680729 550853573 473556924 1000000000000000000 332550622 207673317 327667117 210089137 1000000000000000000 938181622 763446069 607061646 292479576 1000000000000000000 731899305 393524317 303964787 210168155 1000000000000000000 720202250 60107423 11798840 322308019 1000000000000000000 850258481 148907162 422164292 697562884 1000000000000000000 934544334 641700873 648472870 394020262 1000000000000000000 977726386 54265076 342529970 975263206 1000000000000000000 575833076 255911198 10075184 266772551 1000000000000000000 627144298 590213479 223387475 149632349 1000000000000000000 738142349 286950172 210510016 357173110 1000000000000000000 55142436 41951910 46623883 5189947 1000000000000000000 584125387 149296444 87958243 250320855 1000000000000000000 420922152 32081649 272741711 209124287 1000000000000000000 932319379 873448641 654376266 832947724 1000000000000000000 890360362 633822188 764483977 537949911 1000000000000000000 530963088 267510874 178824239 433814645 1000000000000000000 508803058 140353306 356071223 206553556 1000000000000000000 69841256 67537750 14867674 23650841 1000000000000000000 27280034 227684 23770832 852123 1000000000000000000 646512238 413121265 57581571 498540484 1000000000000000000 600540634 254639407 379467658 491531684 1000000000000000000 929872243 103800008 366272641 31320837 1000000000000000000 176917903 166069234 75118937 14607390 1000000000000000000 597367351 483516751 265548264 275968211 1000000000000000000 238806195 231487080 135213837 135998272 1000000000000000000 865036203 848732869 793838360 368481755 1000000000000000000 365815645 16723852 334731998 117756139 1000000000000000000 282474157 211713162 77605220 156033085 1000000000000000000 581887591 391448584 27248957 342890416 1000000000000000000 232306950 197675720 160850755 154161668 1000000000000000000 465234695 134454846 71157512 284495979 1000000000000000000 89975550 79899043 45959837 6570194 1000000000000000000 99929000 37457285 51894177 92811665 1000000000000000000 761935108 508090337 282155329 409579367 1000000000000000000 138825929 108964723 3564690 94482048 1000000000000000000 674541438 483931684 166604747 610362538 1000000000000000000 365954526 84482028 16912047 318436232 1000000000000000000 626892268 383627405 125653566 626023700 1000000000000000000 243918389 217770256 101724938 167611437 1000000000000000000 229392007 126534712 16317156 153951610 1000000000000000000 489038950 63789224 384544699 295350072 1000000000000000000 917760772 634683485 595523119 236864413 1000000000000000000 3594183 4802 932437 2276334 1000000000000000000 389655622 380424767 219349322 107540004 1000000000000000000 570063814 418689160 368255795 404070415 1000000000000000000 470077130 151434247 22051736 467884888 1000000000000000000 769351994 355897321 93787159 229982456 1000000000000000000 116931392 21787098 20423817 21373592 1000000000000000000 202034662 146064440 121103326 40483229 1000000000000000000 255118789 212229603 69632241 57114154 1000000000000000000 715734510 628017745 113971575 211288305 1000000000000000000 945494566 609045970 878319811 832265539 1000000000000000000 397323648 355339768 30361885 243975764 1000000000000000000 662752133 500223875 442506284 567190496 1000000000000000000 692972919 300115852 267143044 246859364 1000000000000000000 107985255 82400900 98126317 67520531 1000000000000000000 736573145 656719086 301570577 214638971 1000000000000000000 318200983 251139796 73271842 47961666 1000000000000000000 177020413 153124179 84752795 75977793 1000000000000000000 421973977 391893600 143078080 143537532 1000000000000000000 23739928 104309 560001 10400243 1000000000000000000 798527691 559852726 530594322 499036035 1000000000000000000 258257307 231768714 127124961 12072486 1000000000000000000 771874632 579386542 44306805 702898228 1000000000000000000 468599042 406781823 136175733 107631281 1000000000000000000 248498516 10265771 162880178 32098027 1000000000000000000 523507809 34533030 360651510 271267883 1000000000000000000 674522460 413261805 543793797 478975219 1000000000000000000 500459093 224017053 247498623 439557426 1000000000000000000 307929003 251915014 29668387 86223156 1000000000000000000 711918628 237881114 231499798 501196985 1000000000000000000 356002188 131446545 35428349 161266205 1000000000000000000 998710494 979407273 812951264 920603500 1000000000000000000 206627437 166474778 100928602 17039937 1000000000000000000 893579434 884452703 339395995 876957153 1000000000000000000 359156814 32655039 181913804 347313522 1000000000000000000 755127110 361701884 719782001 585901402 1000000000000000000 287394406 219657118 1774882 138382455 1000000000000000000 656448723 185511618 429662254 606087436 1000000000000000000 852412524 221761935 191516114 43993538 1000000000000000000 386771112 61270434 354038126 150683321 1000000000000000000 985862364 410220517 899142068 915321000 1000000000000000000 583279977 546277665 485243887 77930167 1000000000000000000 400265770 395223459 59819557 165397708 1000000000000000000 285703244 238037591 199313923 204997386 1000000000000000000 177867576 30686891 47066957 98763095 1000000000000000000 251185329 158107915 153314238 19061845 1000000000000000000 667828033 303445118 447416869 653908759 1000000000000000000 209996918 17778812 180759587 61103153 1000000000000000000 681043362 380389713 403497343 294964129 1000000000000000000 996670687 437577198 395305974 125149520 1000000000000000000 340914456 284186416 254332915 49927315 1000000000000000000 417395084 121154236 54961877 357184918 1000000000000000000 487088168 218710020 100237386 259197700 1000000000000000000 649689347 521831181 357397371 101656941 1000000000000000000 310405679 10411491 173518421 150484061 1000000000000000000 804256688 318663526 483259658 799843537 1000000000000000000 27207444 3953956 4321283 5312406 1000000000000000000 733952399 508487411 721786663 633144137 1000000000000000000 339300000 83419546 77350999 254730858 1000000000000000000 799718003 774384894 190358869 413100199 1000000000000000000 969035019 785737467 328339552 470305915 1000000000000000000 475714545 332597949 252404469 255816967 1000000000000000000 535348346 241693702 297906370 25531231 1000000000000000000 393618381 300191115 351520093 254452907 1000000000000000000 361021734 112034311 17911997 102615112 1000000000000000000 46918511 22644256 16282268 38345047 1000000000000000000 556745239 81343326 90366410 519997892 1000000000000000000 597920085 9773752 263606799 186967519 1000000000000000000 138631079 136883671 53734959 7070808 1000000000000000000 792436698 450789839 525280027 352332675 1000000000000000000 556086121 440934322 421817397 362145751 1000000000000000000 500582930 482772506 35744096 317949525 1000000000000000000 755233285 601121858 377775738 409682381 1000000000000000000 951390499 508232639 408537474 848332920 1000000000000000000 539907229 252741865 170434788 40078461 1000000000000000000 198470635 26516310 18442910 43602002 1000000000000000000 994937228 687635157 692860570 287155507 1000000000000000000 940602704 42264587 218691591 49177296 1000000000000000000 40280314 7093389 36920110 6596397 1000000000000000000 666304277 279832207 391700083 378937923 1000000000000000000 373282522 160792836 265502117 144325548 1000000000000000000 847356999 682927476 670297325 844720463 1000000000000000000 365937003 94512353 65449586 57483291 1000000000000000000 348351757 247845048 57637316 278089881 1000000000000000000 224004803 41697052 156984754 166177310 1000000000000000000 343073633 196758725 75768257 237205076 1000000000000000000 915925694 869339355 884778722 869353855 1000000000000000000 860084171 173933984 751657330 330523567 1000000000000000000 445016333 20659064 228728937 61088481 1000000000000000000 628968304 283076923 38685205 362705860 1000000000000000000 212947668 204619983 126002769 49588220 1000000000000000000 678236656 304869778 24935613 370907453 1000000000000000000 780956806 738679190 124142448 216457264 1000000000000000000 314413978 175700260 38217834 257362985 1000000000000000000 288467668 143122832 222259038 226061844 1000000000000000000 284428423 189144497 184340637 51140843 1000000000000000000 61628785 11063654 43755971 36687614 1000000000000000000 660905478 540443196 481846510 261693381 1000000000000000000 432012675 28473216 350608640 215684253 1000000000000000000 434156829 412695707 134942335 176229090 1000000000000000000 105478182 64354861 52992879 27400819 1000000000000000000 208287997 43873713 104037019 120895375 1000000000000000000 405641231 254907993 68239254 270595561 1000000000000000000 513886898 236573336 396568661 405408179 1000000000000000000 821897681 101169390 30956009 493466892 1000000000000000000 195979918 167756145 151507882 8559866 1000000000000000000 516763579 85691051 114105378 70313537 1000000000000000000 191485303 48902261 4652402 128150056 1000000000000000000 958405721 833843509 14953164 610749951 1000000000000000000 648050099 183427211 294179406 296912728 1000000000000000000 700621983 664656474 128970891 21080462 1000000000000000000 377518631 124862638 206765778 166469840 1000000000000000000 75947278 68180129 13886775 252446 1000000000000000000 477536298 181061592 342431316 345587448 1000000000000000000 35977711 16384338 29806114 6487369 1000000000000000000 810111648 27876300 722197 456307865 1000000000000000000 87742342 8718827 20765917 35643258 1000000000000000000 446386001 391692431 125742329 201739714 1000000000000000000 519980510 203896379 9377770 164864191 1000000000000000000 928798353 291918279 269187444 506056832 1000000000000000000 343729646 147908644 49264879 253346869 1000000000000000000 814198852 582147860 818864 700845577 1000000000000000000 944327210 262481510 518073708 512707091 1000000000000000000 100539237 25961438 97157631 24890982 1000000000000000000 523198381 71591844 95429440 431649156 1000000000000000000 594771177 176230647 356603096 66313372 1000000000000000000 915504713 407325521 1516638 471541454 1000000000000000000 842309367 751118467 106840675 249100628 1000000000000000000 602426016 478204509 331865575 367614163 1000000000000000000 513340856 100505858 242807247 402776117 1000000000000000000 247715923 149495576 87838885 121978252 1000000000000000000 237011638 196466449 199949694 124584574 1000000000000000000 995124557 751185986 142448057 453648163 1000000000000000000 899080453 535722996 309635169 491156163 1000000000000000000 951153063 749236583 635415499 476882352 1000000000000000000 791274459 232187754 413804341 8539584 1000000000000000000 993207065 204450641 417857186 715571319 1000000000000000000 870994673 658306511 148907784 793467330 1000000000000000000 793851290 762660706 36550482 364391486 1000000000000000000 104330079 30901044 11184089 22837528 1000000000000000000 983673968 421439309 341867737 975436698 1000000000000000000 993358949 986839958 422002403 341159964 1000000000000000000 547010266 16218972 121440449 87654085 1000000000000000000 698888806 617078320 389174725 175399710 1000000000000000000 221291343 87007437 129206676 71940051 1000000000000000000 877566057 32414097 236147144 580587902 1000000000000000000 635925573 444448534 100441069 182475696 1000000000000000000 366424551 69144432 338651475 303467721 1000000000000000000 664704895 109730875 564004496 84177855 1000000000000000000 573756662 81011327 186115386 253708588 1000000000000000000 829879143 277476049 186222115 522118121 1000000000000000000 528357305 374750944 100151046 67431760 1000000000000000000 499590134 490953388 184990784 239794508 1000000000000000000 947286131 668476994 568896499 809797626 1000000000000000000 638332177 558667286 326497099 28535808 1000000000000000000 507268225 481654340 136731552 476503098 1000000000000000000 310925474 9729738 120057077 260282246 1000000000000000000 589727600 187298698 79883190 156447708 1000000000000000000 952923806 179998507 809724542 147559100 1000000000000000000 2375598 1828272 487923 314414 1000000000000000000 395042535 229658073 145384290 387670242 1000000000000000000 708761917 126534764 457588823 40600779 1000000000000000000 591563546 240218809 112794364 366082572 1000000000000000000 869186687 66155561 104871219 476732601 1000000000000000000 840368860 95921213 465261618 201733309 1000000000000000000 847571150 285496130 554772612 753774955 1000000000000000000 162229979 97024448 81147559 45066288 1000000000000000000 169659581 26864872 108279040 43976515 1000000000000000000 173935326 5069190 141531232 8547364 1000000000000000000 639395342 23641920 343491347 383579466 1000000000000000000 986860954 667849305 622545926 852348223 1000000000000000000 964427164 776544265 653018463 731549820 1000000000000000000 744507745 511368648 342868867 241211662 1000000000000000000 214268973 53516036 134799634 22723524 1000000000000000000 208823779 95112776 125424251 167376450 1000000000000000000 558804325 419853058 166805613 138530958 1000000000000000000 770024511 269357638 560904010 349689398 1000000000000000000 408179131 132869049 175757845 286326392 1000000000000000000 903357206 121023876 168877174 694145658 1000000000000000000 832747554 768345049 234516463 230015313 1000000000000000000 418103723 285923052 389887073 404912942 1000000000000000000 296733206 55218660 109127425 17257731 1000000000000000000 979152137 887437660 912662789 863981321 1000000000000000000 306188328 261890886 70374067 245227616 1000000000000000000 677853201 205971248 489940855 197287148 1000000000000000000 378132590 264736685 298258550 322526879 1000000000000000000 365972660 179415398 355065508 286377880 1000000000000000000 27756480 19145080 6596880 25815666 1000000000000000000 163028651 40401944 73592893 20385700 1000000000000000000 841330320 835178734 208998397 111955867 1000000000000000000 679346397 17563735 633419470 598711914 1000000000000000000 832554914 672101973 793365627 740476873 1000000000000000000 806514042 10712328 4090693 231716996 1000000000000000000 932212384 437510251 694880172 109625909 1000000000000000000 551837716 8000931 312091738 65479706 1000000000000000000 360255224 173816020 259659528 348825961 1000000000000000000 566000000 247529263 240073051 20342303 1000000000000000000 98096909 50936317 81713156 35314498 1000000000000000000 634636191 414065138 196607724 555643573 1000000000000000000 151524698 131407165 56839914 151016982 1000000000000000000 739393875 386866094 190506759 529911937 1000000000000000000 697666142 36183787 3247547 562289973 1000000000000000000 137253097 110247727 278074 30327179 1000000000000000000 264381318 169074958 19780406 126226792 1000000000000000000 944431499 847175160 232954647 438658860 1000000000000000000 539543323 487114739 44281036 170721345 1000000000000000000 677794734 549542707 348994517 230167665 1000000000000000000 541190615 166881561 323729105 224497375 1000000000000000000 908917978 486474815 567182823 88315192 1000000000000000000 455189453 14595065 431687520 64271033 1000000000000000000 460473724 308356956 455539913 136588364 1000000000000000000 907377255 879696363 299061017 179071688 1000000000000000000 793925947 114550956 227581860 170564607 1000000000000000000 803868324 413447391 776335606 303657787 1000000000000000000 582125922 232030213 431969473 396528401 1000000000000000000 490450966 420981022 1267484 179275026 1000000000000000000 572263161 476794635 272037391 462271913 1000000000000000000 461492452 232921369 313350127 172097312 1000000000000000000 851783874 184966687 156989204 61742443 1000000000000000000 484274600 254997725 358821345 115854039 1000000000000000000 355912333 245872639 206231381 99871073 1000000000000000000 305353003 217864480 73529735 10898608 1000000000000000000 802959650 106876506 325116963 522784349 1000000000000000000 924327815 533905374 328307093 451531431 1000000000000000000 979413629 765047809 967921670 799573912 1000000000000000000 527390283 208809050 438900408 134108165 1000000000000000000 463624512 127061677 147717893 234928438 1000000000000000000 924285675 493376111 110580335 833362279 1000000000000000000 667711001 385719229 403431791 289255675 1000000000000000000 92739194 2125278 63991318 45987544 1000000000000000000 323145327 57206128 90995386 284058625 1000000000000000000 182263907 132423901 2021355 30258515 1000000000000000000 355562458 212819150 106714164 349198204 1000000000000000000 531174625 32769838 317090135 161204962 1000000000000000000 421538247 5920677 279760878 141962861 1000000000000000000 491390714 175219295 37624427 185013178 1000000000000000000 906662954 589563814 650421518 520326524 1000000000000000000 815853433 177405922 279864433 343820441 1000000000000000000 971844036 478353685 547184505 619751453 1000000000000000000 922459257 360097118 202904301 346545808 1000000000000000000 353199017 106920239 252345944 266614119 1000000000000000000 503392528 235523788 291855406 177539164 1000000000000000000 298066624 73055892 287344710 190272465 1000000000000000000 973956440 916124186 668824492 446790414 1000000000000000000 386359653 309436939 234280149 70262551 1000000000000000000 384051048 20994905 82544799 213705454 1000000000000000000 154184954 43486305 117791843 116318490 1000000000000000000 46332718 19287176 27568930 45860382 1000000000000000000 672331028 509588299 114965965 433342659 1000000000000000000 484773240 46079326 195486127 381161569 1000000000000000000 100711003 34451818 36741575 69091430 1000000000000000000 719701109 247120676 239422222 129323849 1000000000000000000 931034182 904233369 379608196 115867070 1000000000000000000 451315235 248009547 424268720 430965844 1000000000000000000 756483744 330650521 701437194 586648646 1000000000000000000 537348456 269625583 523998458 237671500 1000000000000000000 818475031 394343652 158694096 594416501 1000000000000000000 8434687 4406608 3514869 2759603 1000000000000000000 668420989 414838739 559469973 634078329 1000000000000000000 57315637 49072252 15850424 34288663 1000000000000000000 865102686 785427419 513625946 849596865 1000000000000000000 593176267 47689634 50420549 293353676 1000000000000000000 771736621 40730788 491004227 446871194 1000000000000000000 437610875 211922491 184752316 390649268 1000000000000000000 338827546 227141755 91132131 254825540 1000000000000000000 955369288 409134388 439196684 451398921 1000000000000000000 422670740 189556526 159048125 83736885 1000000000000000000 339819029 101505362 151585597 271032533 1000000000000000000 357293657 41729376 31078381 261317360 1000000000000000000 56516013 25382058 29191546 41862064 1000000000000000000 314950481 157980174 165934125 58863787 1000000000000000000 237869098 92420432 23437849 127566901 1000000000000000000 532369555 219799808 425539280 239888884 1000000000000000000 316434636 158236124 296133561 274785116 1000000000000000000 863862390 205530212 227719825 780683625 1000000000000000000 156048447 131117324 132402014 11947305 1000000000000000000 141236575 77114361 83499253 110566759 1000000000000000000 943175512 560833052 536594197 123258372 1000000000000000000 138525219 18979367 127523138 64807955 1000000000000000000 593653809 347009910 163036054 194479190 1000000000000000000 46515068 30760925 23974762 17406594 1000000000000000000 367119101 348217852 84165335 41612368 1000000000000000000 259437608 39142949 199382911 250465944 1000000000000000000 914361233 68374676 305514984 881784522 1000000000000000000 952922160 164783867 356256777 869513042 1000000000000000000 627102950 360569353 401243999 433310834 1000000000000000000 636648133 419767205 85901145 503269056 1000000000000000000 21184796 17470926 15708541 7761335 1000000000000000000 732575567 392334638 476654459 572170523 1000000000000000000 138073575 18203371 48827542 43642151 1000000000000000000 289888355 117932189 41606933 68752180 1000000000000000000 90336224 81339965 28937054 23308337 1000000000000000000 337829256 156362926 206482308 112552576 1000000000000000000 620159446 336553883 462383967 301069405 1000000000000000000 607757550 85321121 20042492 248841377 1000000000000000000 717670137 434181560 463299880 45887326 1000000000000000000 181145840 135607191 90694348 74699219 1000000000000000000 393122760 56005160 376479702 90560640 1000000000000000000 366194297 87395301 8972014 35376455 1000000000000000000 600344703 180337328 412303462 312806636 1000000000000000000 997599464 624157381 709391857 831322030 1000000000000000000 361643176 311072085 60355639 106909723 1000000000000000000 781659715 763536072 150825670 330423239 1000000000000000000 70656170 62471503 46420868 22298804 1000000000000000000 96043548 89849455 89243245 85907081 1000000000000000000 69535041 62093821 11863148 15553256 1000000000000000000 974177891 8512436 870095893 486086154 1000000000000000000 266810165 37469044 157208624 137169845 1000000000000000000 926640572 611442983 801244610 252904899 1000000000000000000 524422431 210248783 402184527 152287256 1000000000000000000 818876995 496879678 628057660 112651276 1000000000000000000 512835915 430171918 201894729 39751537 1000000000000000000 23680003 7614933 6915405 17489240 1000000000000000000 567886194 521095541 545706300 121739955 1000000000000000000 911352926 734349580 79101067 611172953 1000000000000000000 665876769 288123031 534487084 219883600 1000000000000000000 919239920 79433643 809804461 190980760 1000000000000000000 846396351 742641520 200066970 314470063 1000000000000000000 421010993 230449648 272066592 145085396 1000000000000000000 508676550 85602851 508607862 281647904 1000000000000000000 279245104 74388329 157604239 83311554 1000000000000000000 669606772 477627424 53811942 446019222 1000000000000000000 278229585 153968654 150678762 177236471 1000000000000000000 497636127 274418067 130731573 487792647 1000000000000000000 268385900 230504844 184213501 233363719 1000000000000000000 279593276 245078022 69770482 266401028 1000000000000000000 462073962 395640075 119645672 153533600 1000000000000000000 589836044 434593839 17363917 310423920 1000000000000000000 586994513 160314060 224034815 134403370 1000000000000000000 302421311 183282529 84508141 236869378 1000000000000000000 708474610 633063310 432624908 414018948 1000000000000000000 288435794 16784994 200867083 157339393 1000000000000000000 166173627 88568631 129227003 162931807 1000000000000000000 197187639 135531334 192279871 35468553 1000000000000000000 394558224 253984125 351276942 31470966 1000000000000000000 304101381 294324032 182919513 5038926 1000000000000000000 614732307 303359196 573484610 379512169 1000000000000000000 433583226 212191145 65279558 24429946 1000000000000000000 804790998 332001850 659654914 97103438 1000000000000000000 587925229 333070915 93211933 447135353 1000000000000000000 73149898 9730262 47529803 17744912 1000000000000000000 690503642 72056802 418864239 438349831 1000000000000000000 942142329 337448735 772407959 28605819 1000000000000000000 880131047 424237895 818267030 252031074 1000000000000000000 318391856 218996392 65844204 212073081 1000000000000000000 648756439 555006791 519156227 318055420 1000000000000000000 510190768 509405003 453683031 470598450 1000000000000000000 651299161 514258650 415376287 64679596 1000000000000000000 290197674 267702168 71355434 214991716 1000000000000000000 734095547 59338599 90270595 150776353 1000000000000000000 655367805 97226859 495503197 184302495 1000000000000000000 951183432 106968901 150360360 513401625 1000000000000000000 916845740 80047844 884594853 342004470 1000000000000000000 466251416 449798515 348324731 185331024 1000000000000000000 365811811 56974901 314831893 288990901 1000000000000000000 39720568 2128181 32528806 17001407 1000000000000000000 106075235 20196235 103027039 79482339 1000000000000000000 51553459 16493359 42181562 11302319 1000000000000000000 476609461 280096968 84139043 400410155 1000000000000000000 900579516 554360287 681934390 544196692 1000000000000000000 555766432 69194579 155593574 88179914 1000000000000000000 904971053 824407115 80914758 528616615 1000000000000000000 433368654 194883669 295030374 429479133 1000000000000000000 884742914 189997441 807858148 677549454 1000000000000000000 135596092 27018801 2396136 97975614 1000000000000000000 604110779 216309877 105849449 539397704 1000000000000000000 165470936 15370791 6562320 153548073 1000000000000000000 394626326 249521062 91338517 269347510 1000000000000000000 492567268 484466817 237137049 240833086 1000000000000000000 629713255 612550908 534443605 90738808 1000000000000000000 112642048 49476444 86509379 30188736 1000000000000000000 320867026 124354019 236668808 273420485 1000000000000000000 243660323 115995424 128565693 5540514 1000000000000000000 455710993 25503373 130157532 55075881 1000000000000000000 30986455 4566264 17385073 29533068 1000000000000000000 623917272 460905751 413050813 600502951 1000000000000000000 712377152 368311338 191475669 491162825 1000000000000000000 789771625 369942482 361894876 244743201 1000000000000000000 512751727 207871785 198638067 140294078 1000000000000000000 6174035 5472447 3590930 476542 1000000000000000000 429730468 187546272 370000916 241748880 1000000000000000000 895188339 567484802 772669325 785761781 1000000000000000000 37736581 10800450 22572862 12689050 1000000000000000000 511026429 509229724 466762553 225041533 1000000000000000000 957424824 389588659 595194663 419376095 1000000000000000000 73452439 9047119 38490072 37429823 1000000000000000000 328363379 137075180 300434540 217184641 1000000000000000000 579194731 78708612 390778804 274132692 1000000000000000000 86221419 3694100 2258346 50656802 1000000000000000000 247499237 84958283 70819370 152824648 1000000000000000000 286721291 27203103 219738374 216411600 1000000000000000000 530807735 89353999 224085692 293616966 1000000000000000000 244800572 57243175 170319281 79812776 1000000000000000000 752559042 648621170 194453521 296927226 1000000000000000000 184946906 128437134 10936960 132594835 1000000000000000000 183050887 2168931 73055924 175924433 1000000000000000000 737616342 323545758 37006687 699131524 1000000000000000000 223658141 194484908 156309789 109118310 1000000000000000000 173609079 151920681 39209299 17934159 1000000000000000000 942401765 638515351 282367475 240628116 1000000000000000000 78150718 47755718 58994247 54040528 1000000000000000000 351155916 172815674 296253355 3289372 1000000000000000000 899034279 116837112 862182679 616334675 1000000000000000000 352455131 6561109 98886841 323330006 1000000000000000000 825826428 344371524 424168841 11918150 1000000000000000000 726982608 579580496 136202033 103084447 1000000000000000000 370461039 175646716 26445537 350180724 1000000000000000000 313828632 134261213 37349260 205824317 1000000000000000000 681407770 71445988 139961258 233857828 1000000000000000000 56479854 37857193 13824449 12386427 1000000000000000000 89885257 34792539 3180575 59117574 1000000000000000000 609311750 404608285 88709730 505986519 1000000000000000000 586172051 361273095 479782476 258144904 1000000000000000000 88670053 64067803 26774170 86229683 1000000000000000000 953718098 882682011 85566850 112118082 1000000000000000000 174995896 104225767 92852218 13338754 1000000000000000000 180223041 175982028 162153492 78867679 1000000000000000000 654111465 67878516 313164020 494215701 1000000000000000000 290137898 88092201 74468588 225122392 1000000000000000000 481699780 258809916 150786169 124149090 1000000000000000000 904201986 85577169 309978422 639212602 1000000000000000000 437962905 86165722 410574910 358688819 1000000000000000000 121219669 20993342 52291042 15656155 1000000000000000000 386734756 159853748 270743134 331563951 1000000000000000000 258399946 64988536 195407196 130583509 1000000000000000000 41346708 22048429 29650956 1421709 1000000000000000000 386838802 343002871 314895312 212632398 1000000000000000000 727097650 284217668 243652874 709258232 1000000000000000000 603546338 114091624 291432566 556828980 1000000000000000000 688098700 195670128 403101324 475414370 1000000000000000000 368076863 295624181 351113836 362677850 1000000000000000000 751871356 161093044 37563268 27935167 1000000000000000000 133442922 85339174 69120717 45224259 1000000000000000000 943107925 898649811 632525278 798343054 1000000000000000000 570811566 34526432 214091459 292381399 1000000000000000000 567446727 511783188 171314794 435864058 1000000000000000000 572323203 529581938 230717177 282133529 1000000000000000000 917410980 103184459 615899646 511022273 1000000000000000000 902035474 55282211 739443348 77572339 1000000000000000000 256527124 96956159 24301114 144006839 1000000000000000000 358350693 184059958 208592219 127626082 1000000000000000000 898345535 170386178 347268473 619952907 1000000000000000000 337359745 225213132 35621579 137548189 1000000000000000000 682918752 150599149 604486791 371229541 1000000000000000000 224172421 215683813 45667223 112425279 1000000000000000000 57871071 43312188 31780007 14549653 1000000000000000000 628544251 229813729 308178238 421594060 1000000000000000000 236615438 135460728 76248400 112617007 1000000000000000000 163591963 112664574 146066208 46040535 1000000000000000000 776014735 446661724 394222809 449434967 1000000000000000000 971734546 250168017 363580300 694829968 1000000000000000000 256174451 95508268 136352860 88285248 1000000000000000000 323006569 320085787 168965184 243718563 1000000000000000000 471875945 257970617 289778493 254382699 1000000000000000000 936792013 38465390 530476452 205301309 1000000000000000000 690601449 659559156 468432282 131069148 1000000000000000000 851274296 400914306 618053763 821658179 1000000000000000000 928708634 222826949 519511906 743940314 1000000000000000000 363280221 242766651 274951221 63269336 1000000000000000000 807394247 751247080 484080235 647422072 1000000000000000000 58291799 23909969 20177414 35780408 1000000000000000000 813970826 605340248 369389400 269735273 1000000000000000000 511595106 107137784 490013772 432262785 1000000000000000000 181293321 119160460 26539911 25470577 1000000000000000000 996007210 230667181 249085245 883862311 1000000000000000000 301010578 198809779 78730368 38304183 1000000000000000000 148048468 113627200 586607 37693841 1000000000000000000 655290647 464178469 288958960 193023180 1000000000000000000 550519041 317004480 166683570 382318523 1000000000000000000 241210276 116606678 217671239 89214892 1000000000000000000 854729086 803924577 58490755 267350961 1000000000000000000 864570482 429271697 657499596 27778125 1000000000000000000 533168009 217608867 290906654 360038357 1000000000000000000 281471602 171792538 58094998 18785369 1000000000000000000 377583854 30217747 45357930 255138135 1000000000000000000 860548677 172190239 747596414 650704659 1000000000000000000 675156165 153307553 563893142 96718986 1000000000000000000 936274873 868966584 104543476 559584205 1000000000000000000 463242953 201002002 317932526 125630869 1000000000000000000 749106924 720838653 348334661 311517608 1000000000000000000 966453255 394138792 457840581 540635097 1000000000000000000 550504689 367322766 305060913 44941684 1000000000000000000 106112857 25449167 84703130 93499394 1000000000000000000 324658856 163603875 254423517 193969477 1000000000000000000 874022222 283114068 321291513 418476258 1000000000000000000 775783686 482075943 634109199 165947953 1000000000000000000 123035646 18438372 65688745 38306689 1000000000000000000 289019545 101139759 267853458 149798983 1000000000000000000 273834393 247910659 157937998 25940846 1000000000000000000 36524581 26494554 12387655 11941021 1000000000000000000 98720541 89606145 88361728 64609347 1000000000000000000 939241336 551824312 136619724 732144111 1000000000000000000 894403371 516373168 893645967 769701021 1000000000000000000 879425460 93859684 647260356 480374673 1000000000000000000 724990861 201180773 79601275 233502102 1000000000000000000 498231478 469929710 205298508 442563487 1000000000000000000 26025620 11669092 9490833 5805536 1000000000000000000 714254039 708803765 306075725 344675913 1000000000000000000 236229382 60874360 142359836 2882147 1000000000000000000 322699462 209173411 203386045 164677629 1000000000000000000 823934951 263773395 199273619 687517741 1000000000000000000 865764675 240493959 126380129 268644356 1000000000000000000 118226288 96015804 25254845 79908931 1000000000000000000 269920281 201488910 250758071 6748948 1000000000000000000 906686604 450162189 726217557 299580746 1000000000000000000 569254044 249080825 37167108 448383038 1000000000000000000 691524073 651364262 391553471 584002447 1000000000000000000 722462595 268555772 192440942 677941893 1000000000000000000 859979273 701789094 2521250 46330392 1000000000000000000 601307059 94613781 52099269 504951386 1000000000000000000 854768939 567497069 478878202 641450830 1000000000000000000 197720315 81034677 24419634 20944223 1000000000000000000 372938980 36923446 337477855 92738496 1000000000000000000 706380461 439203107 218766751 653401639 1000000000000000000 571314925 474516855 83123355 228344116 1000000000000000000 391162274 57730661 244477223 155176648 1000000000000000000 36902634 15293867 2683024 1168335 1000000000000000000 519270404 29939020 257005508 149784791 1000000000000000000 465507541 265421129 121086383 153364695 1000000000000000000 132055506 103934574 131560381 65970137 1000000000000000000 348749880 209860390 180129981 212073890 1000000000000000000 947887461 439452822 862168201 747519310 1000000000000000000 200872391 90863673 164118631 25941481 1000000000000000000 771204586 2069878 409577616 753096203 1000000000000000000 303058170 25816551 86573635 152781012 1000000000000000000 604899989 36175609 233471709 92656469 1000000000000000000 925083673 1110925 207296678 512774932 1000000000000000000 777833900 324378079 454540608 404026678 1000000000000000000 803792212 31798077 389711381 230685106 1000000000000000000 534259802 37626373 372840890 10092053 1000000000000000000 464134792 158198168 24555857 236347717 1000000000000000000 647438501 373205949 509439142 420130297 1000000000000000000 549718544 143469045 20256651 58462810 1000000000000000000 505810337 329618896 318213228 481113246 1000000000000000000 8433017 6698604 4641415 3730800 1000000000000000000 636533340 631636126 244785961 42832168 1000000000000000000 246893871 235585652 84490616 27226295 1000000000000000000 960268169 593241702 347074997 853470120 1000000000000000000 528770111 172105799 20124548 385953408 1000000000000000000 615759807 209931602 208112543 480096133 1000000000000000000 210781284 175720613 86765785 72174157 1000000000000000000 717234971 87672700 597472776 378969900 1000000000000000000 809511860 585915977 465927257 433911745 1000000000000000000 315617086 120797451 34319708 101231452 1000000000000000000 298209628 147310757 47463121 237619037 1000000000000000000 810964690 317372319 91871798 257765284 1000000000000000000 455236513 288035802 124365830 19610809 1000000000000000000 676106712 387846730 48130685 192630107 1000000000000000000 732028739 606705286 485189642 577575397 1000000000000000000 629403420 210154340 253976187 149908868 1000000000000000000 265069798 258111727 244741996 149920811 1000000000000000000 305933401 30872873 31128779 77463975 1000000000000000000 267506585 114098136 40582551 149511631 1000000000000000000 378477818 67617815 173663779 39501431 1000000000000000000 412498406 30355459 382567481 386342773 1000000000000000000 688426028 83732781 158768893 51141956 1000000000000000000 587587194 280534227 183615734 396018726 1000000000000000000 504361915 79731526 30260901 423069763 1000000000000000000 994358038 418724596 387885265 62348607 1000000000000000000 750784571 537230525 71392356 92496553 1000000000000000000 112088961 50191545 28663988 18833127 1000000000000000000 842563138 723820484 747259146 230244271 1000000000000000000 635889619 102472537 477816024 322516300 1000000000000000000 60701740 9750971 18777503 22726571 1000000000000000000 515505 4572 32493 183381 1000000000000000000 456138282 394651436 89973989 442729796 1000000000000000000 460722690 376250807 358723239 103182272 1000000000000000000 861147068 473725292 675979332 738755094 1000000000000000000 57020157 35423733 4971176 53222266 1000000000000000000 948660996 428709544 106456375 560171568 1000000000000000000 382371403 98582098 236430297 188840567 1000000000000000000 797296802 609522600 320074778 600184896 1000000000000000000 436541725 33496213 176957171 111857993 1000000000000000000 143531083 11319809 131257775 85862762 1000000000000000000 251640332 24650996 129042686 142095122 1000000000000000000 166265458 166088499 31097761 79352753 1000000000000000000 589258793 403205080 373075244 278929360 1000000000000000000 578447570 114163467 228798079 366392988 1000000000000000000 244625642 48112487 215985471 138028727 1000000000000000000 824802300 305291188 680138939 68240609 1000000000000000000 708702640 244195942 359939081 604133499 1000000000000000000 288075751 201176143 249974757 142334575 1000000000000000000 352968396 248848259 194807068 65742903 1000000000000000000 917936814 451475120 194961282 89705726 1000000000000000000 535832152 464692145 388868095 82751713 1000000000000000000 180811184 79722218 79468136 144736484 1000000000000000000 58426863 17292227 37123661 33232249 1000000000000000000 937918896 428938004 194617028 510198458 1000000000000000000 575242747 571242771 248135002 96737581 1000000000000000000 649163287 75050549 242185059 51356652 1000000000000000000 865060638 504507022 142429835 379544288 1000000000000000000 545286324 268780470 367383298 381148216 1000000000000000000 695792806 283184690 414887075 417518059 1000000000000000000 386042002 306869844 308005763 184144819 1000000000000000000 988980273 1850786 87444832 599945902 1000000000000000000 245390449 74419474 50447303 144285671 1000000000000000000 271204309 63290148 154087256 186559064 1000000000000000000 968956910 347058057 247367586 237965830 1000000000000000000 403051358 152866557 389584446 365202742 1000000000000000000 384280874 3259950 198410924 326370244 1000000000000000000 184799503 45967127 91894678 179079937 1000000000000000000 80578309 70322620 10259564 30256150 1000000000000000000 887115761 462467990 363305011 446611128 1000000000000000000 640309963 153734089 397587461 135380896 1000000000000000000 503753981 366673801 109685990 197325189 1000000000000000000 485311997 2833029 271155307 465716244 1000000000000000000 732382003 341641813 126062260 329469426 1000000000000000000 830848969 405048478 44418392 555275946 1000000000000000000 993912299 385306083 101028882 449348026 1000000000000000000 110279793 106250896 108963037 26818801 1000000000000000000 931051296 504560141 68526116 111241706 1000000000000000000 957774287 493151864 132911009 200045913 1000000000000000000 133380192 89131015 63003589 6217346 1000000000000000000 369892360 344935086 66024958 317973113 1000000000000000000 269000389 187462133 128058720 50017991 1000000000000000000 293902155 71837783 285549074 215982642 1000000000000000000 659402620 480688589 224895778 295894926 1000000000000000000 791253729 91007663 303953480 597079157 1000000000000000000 713634141 194566130 328334757 433126326 1000000000000000000 774666595 619599393 535956975 543588803 1000000000000000000 62512069 10724320 40107492 43695888 1000000000000000000 535318483 426128447 400209155 18296686 1000000000000000000 808218258 391819077 486719776 350474083 1000000000000000000 982028149 166685473 120285301 588929233 1000000000000000000 92203201 80061290 61008276 15016516 1000000000000000000 112277262 89036899 65821362 45489577 1000000000000000000 92533305 805522 55943625 52558426 1000000000000000000 237834545 53282952 76768505 66560509 1000000000000000000 351094704 37114731 11640595 193243073 1000000000000000000 568185428 319988096 379070801 188230073 1000000000000000000 719007458 181480928 713315884 455332098 1000000000000000000 559103949 504035172 338233059 450283574 1000000000000000000 484602716 386174052 189770089 359194648 1000000000000000000 907017662 224802019 462302182 762986964 1000000000000000000 524562073 87542944 344679783 465322489 1000000000000000000 91627951 37290202 86130653 66428011 1000000000000000000 848997376 119167866 585357932 745270895 1000000000000000000 169784296 24122752 88978678 15619905 1000000000000000000 896365325 256709105 618932542 630386718 1000000000000000000 52775449 18519263 15815011 52685312 1000000000000000000 113681221 21326629 105751477 89164872 1000000000000000000 461533650 386671512 5928606 180608905 1000000000000000000 199902023 62476428 197592470 147898724 1000000000000000000 264945007 140487704 60182265 224689486 1000000000000000000 398127066 98200474 97747910 230120953 1000000000000000000 580841748 61797467 505962557 123245701 1000000000000000000 870774632 341379596 244064331 412065068 1000000000000000000 112642891 66122834 70402920 105304879 1000000000000000000 868201246 358951937 330331149 104140173 1000000000000000000 156121771 134516121 115671023 15678823 1000000000000000000 678081220 483643774 406634632 554823805 1000000000000000000 291950239 146898088 135123700 83697451 1000000000000000000 309279960 303273354 298573193 33598890 1000000000000000000 764963412 532286602 703174813 692123465 1000000000000000000 222767722 221499311 194199969 65460368 1000000000000000000 85971935 54177157 25823940 27283472 1000000000000000000 210779966 72231210 27884859 127511480 1000000000000000000 265324676 132097785 22177720 163334013 1000000000000000000 677642948 396485916 412780842 203806791 1000000000000000000 150449404 108596990 66716659 34998021 1000000000000000000 429091743 144729175 70860868 309499789 1000000000000000000 121652329 28566674 12294184 55140827 1000000000000000000 833499053 525311114 140965190 735521059 1000000000000000000 139648532 130873190 101119363 89991960 1000000000000000000 233452147 136030896 170917225 149802079 1000000000000000000 243547460 301048 115371998 181557111 1000000000000000000 236548399 149735052 125900986 179446349 1000000000000000000 712869313 553247632 139638055 467950762 1000000000000000000 660527727 261959419 486032781 603405398 1000000000000000000 157226612 20586680 37995784 150001741 1000000000000000000 153949373 81339530 59825423 23582412 1000000000000000000 708266142 39939978 373170415 507291765 1000000000000000000 372761008 72618716 257838536 46588379 1000000000000000000 834148991 249118689 340011702 678182150 1000000000000000000 356485429 219855813 215887034 36751029 1000000000000000000 435025404 372349845 321124804 141002157 1000000000000000000 270965078 229377254 22851970 106888710 1000000000000000000 333001119 212077541 331316244 155751867 1000000000000000000 333711785 26828033 90511802 247213592 1000000000000000000 349673170 72214305 289868727 148408552 1000000000000000000 567781516 135335828 513616224 204756181 1000000000000000000 649286555 114806333 276840286 574228548 1000000000000000000 105188534 29416865 60030940 68494802 1000000000000000000 933135397 565295370 832128045 633447078 1000000000000000000 863206949 504408367 791429548 853741513 1000000000000000000 558142269 222312940 501570219 329756411 1000000000000000000 455686688 240541778 254190144 172489822 1000000000000000000 2255240 976429 1618918 1670786 1000000000000000000 831553284 352952129 720657357 299697962 1000000000000000000 838679912 178033453 422340727 798577705 1000000000000000000 470878669 262008666 62241211 249908083 1000000000000000000 997816037 300426709 550938032 89357093 1000000000000000000 547334138 263711260 296856876 355603099 1000000000000000000 653798814 648891014 474406997 314391710 1000000000000000000 753951439 412975334 23723177 106990580 1000000000000000000 50613699 19768068 4462536 10690258 1000000000000000000 853678504 274997880 740393787 219819735 1000000000000000000 693768432 449079102 371093502 130315884 1000000000000000000 594864426 43481660 43304018 127032040 1000000000000000000 242556231 225505290 43307789 25464547 1000000000000000000 553787165 212364351 111210863 328981584 1000000000000000000 147612332 38508964 132847830 142939913 1000000000000000000 579502495 1086598 93044899 554261384 1000000000000000000 925701182 755721157 801596159 905848158 1000000000000000000 205328068 144351398 41549442 110991587 1000000000000000000 817326161 53748833 583913751 184320052 1000000000000000000 68011138 31497300 15135438 61633861 1000000000000000000 889958599 157526859 538142407 9917710 1000000000000000000 804347581 596540120 726937698 109120247 1000000000000000000 242946370 169252269 205279717 63250137 1000000000000000000 717405414 205647439 587802853 150801086 1000000000000000000 587253888 221094449 254210018 26527898 1000000000000000000 7349599 306584 1088156 5334009 1000000000000000000 974700272 760829584 182072903 16124776 1000000000000000000 717065409 413238220 716469333 173328531 1000000000000000000 288229404 191683234 95411684 21344967 1000000000000000000 928597086 516831420 55268832 731494262 1000000000000000000 84725075 36939303 16417579 10909 1000000000000000000 962536724 659020060 257881834 190669277 1000000000000000000 845844958 521101774 438231278 274712191 1000000000000000000 876517513 757134959 331823236 141202735 1000000000000000000 315559480 2499994 71046065 183876449 1000000000000000000 46484189 22530255 7440317 17070320 1000000000000000000 165568219 75084441 12240628 123995746 1000000000000000000 652588613 464558231 343555655 348063469 1000000000000000000 376679665 51248553 351622101 247790210 1000000000000000000 107257390 54222621 101141393 4005191 1000000000000000000 502463473 192043796 215445302 442173272 1000000000000000000 563379197 36821960 457399783 223871200 1000000000000000000 733410871 496138665 376445023 166314374 1000000000000000000 963496562 496821383 525989414 140070546 1000000000000000000 190296479 24210526 12747889 34475987 1000000000000000000 993368293 662366006 516501816 614039523 1000000000000000000 120217206 46758058 15048588 67143992 1000000000000000000 188745503 111190413 8146352 141372564 1000000000000000000 200717689 199709450 194797465 125311098 1000000000000000000 139636994 41171407 12842068 91682554 1000000000000000000 953887106 232929581 789170874 89624259 1000000000000000000 916575138 356222060 812361727 76472685 1000000000000000000 747969643 459240672 639066740 198211438 1000000000000000000 662829654 90798538 480444261 388941908 1000000000000000000 223276696 94959570 30352626 13209963 1000000000000000000 477408745 35341179 34375268 387673167 1000000000000000000 77461781 25363268 45939327 51980982 1000000000000000000 865451579 576469095 410882717 80704789 1000000000000000000 484936852 174754263 472867556 20723671 1000000000000000000 974182525 602684925 587729833 607284874 1000000000000000000 965406501 191153828 737354433 912188500 1000000000000000000 292497445 243576237 186962104 89333092 1000000000000000000 841770192 550041227 294121013 338843397 1000000000000000000 672083733 593669520 216876309 115508526 1000000000000000000 875457151 870870693 265323604 110368813 1000000000000000000 73466271 37586026 14299400 3214822 1000000000000000000 241211216 181893490 221315704 55714509 1000000000000000000 173373788 129062580 72425750 4886653 1000000000000000000 761636154 370877715 159511788 700797087 1000000000000000000 351609595 76929616 161911906 21366864 1000000000000000000 852208320 729839064 434755801 160236055 1000000000000000000 24679061 15370189 18691772 16731303 1000000000000000000 184672770 55600225 42055920 73760171 1000000000000000000 214173243 79801855 16026982 169486182 1000000000000000000 927154078 814880872 322965427 53042020 1000000000000000000 4465297 1260873 1534322 86117 1000000000000000000 947634163 890843463 939923234 815863439 1000000000000000000 857673285 495224768 377964950 797026763 1000000000000000000 268848242 243368762 189896419 77663110 1000000000000000000 481539280 201933793 12486198 376033113 1000000000000000000 853422146 159283055 697297261 316280408 1000000000000000000 424905408 418519948 282330534 395077812 1000000000000000000 523455933 111721024 161033543 469803698 1000000000000000000 178092975 139507637 101700836 4455233 1000000000000000000 782367907 343335304 147646425 62106389 1000000000000000000 656726318 154010585 340966938 594599151 1000000000000000000 529761581 4133340 328502573 332154492 1000000000000000000 207217603 141509567 70998878 163245426 1000000000000000000 858989527 372830059 816275406 744688272 1000000000000000000 549188131 364675566 69293513 260247238 1000000000000000000 14699513 7577549 12582876 3720695 1000000000000000000 98945412 78687618 46920289 87903128 1000000000000000000 424515396 181660935 212227581 139657216 1000000000000000000 103631316 37097779 12536783 73030506 1000000000000000000 234964207 14544957 222842973 93393637 1000000000000000000 272135863 143490978 182727295 236184641 1000000000000000000 645605381 505307004 287545234 273987412 1000000000000000000 57713783 21175046 22090802 25903727 1000000000000000000 910322864 195238111 504201859 765112333 1000000000000000000 407612265 392614139 392448851 65856556 1000000000000000000 366724159 15473455 349050451 215391123 1000000000000000000 620419279 72432009 129322938 391639404 1000000000000000000 931633147 222410736 752189802 474139318 1000000000000000000 376291547 221066166 322017611 32934695 1000000000000000000 584268196 292474067 526405388 366425051 1000000000000000000 297150652 279483113 136562666 219239121 1000000000000000000 959627227 483359149 371090842 169625333 1000000000000000000 955168389 687068736 51835304 124035068 1000000000000000000 954542171 516902623 679646330 645675927 1000000000000000000 417042397 101876108 21937354 322471887 1000000000000000000 1843704 612832 373561 1109795 1000000000000000000 862146926 205108543 704163669 5911550 1000000000000000000 313160974 288674101 7042825 18477060 1000000000000000000 422053238 210655265 279633046 271421234 1000000000000000000 13048039 4167767 3431264 6761619 1000000000000000000 965218706 398057300 738796329 869165297 1000000000000000000 421547081 101231822 257751100 48980695 1000000000000000000 388323517 242594113 236698050 212865850 1000000000000000000 124259210 15708016 27313206 6500382 1000000000000000000 744239125 651994192 653748928 456157305 1000000000000000000 165509148 133103973 19545119 40422397 1000000000000000000 912623960 859296308 244325684 264505155 1000000000000000000 342280511 90295642 95348594 72131540 1000000000000000000 15170702 3383381 3816715 241741 1000000000000000000 221719558 141768838 6036046 137946758 1000000000000000000 642202012 352528325 158976756 558390014 1000000000000000000 112280146 49716101 112021233 13720063 1000000000000000000 591788051 553571117 200855795 87130683 1000000000000000000 979847216 744681322 467079116 214183237 1000000000000000000 274620902 206551166 137243749 54182548 1000000000000000000 853533321 68195849 757956807 570303437 1000000000000000000 361263390 107279682 330516518 241194614 1000000000000000000 596424398 367655494 270009862 391721268 1000000000000000000 298470265 130145979 198407417 292783329 1000000000000000000 538717991 332275486 23019980 499191135 1000000000000000000 122226561 86614853 38823131 65752150 1000000000000000000 395893445 62144105 293546224 166781115 1000000000000000000 153742493 24533853 138308009 153014804 1000000000000000000 526260646 151648897 85709158 112719195 1000000000000000000 899774679 417014423 646952505 145765573 1000000000000000000 435455737 259224754 228780554 406647138 1000000000000000000 43034035 20736539 20570441 36597422 1000000000000000000 375712008 347634043 145444287 238353219 1000000000000000000 513938916 30156485 435506435 148163247 1000000000000000000 712702479 558403029 164025964 305885137 1000000000000000000 623028841 498195717 617587474 588214817 1000000000000000000 338136926 324485849 120392846 137330449 1000000000000000000 457541101 283050218 385928641 444364282 1000000000000000000 417067632 62033509 317476213 151405459 1000000000000000000 835863342 13693192 665986515 195698707 1000000000000000000 173126457 169312333 79444296 75675747 1000000000000000000 257069005 80010297 91159868 119751807 1000000000000000000 95456460 94578742 19756027 57361869 1000000000000000000 377835286 73680661 91988387 324434182 1000000000000000000 239888143 166098210 144729004 13130197 1000000000000000000 72444971 61830614 39387906 55802745 1000000000000000000 493463112 490332721 246437107 339031101 1000000000000000000 964401825 791075286 721301899 100022842 1000000000000000000 939599319 633109652 526379888 723139953 1000000000000000000 158653745 2902404 61909006 135277125 1000000000000000000 112635829 92865551 50805072 71071262 1000000000000000000 680380443 143941251 432381953 123401301 1000000000000000000 55954092 9119179 5898284 20739814 1000000000000000000 103325912 47294396 13842882 68604162 1000000000000000000 931544428 34642072 919619438 646047117 1000000000000000000 553285308 399307838 198131760 238207836 1000000000000000000 790789647 744046941 467941301 287251405 1000000000000000000 39576610 25241535 1595506 22411082 1000000000000000000 756252859 238774815 727697153 739675226 1000000000000000000 823672548 739084825 472594388 800443168 1000000000000000000 876073429 11867921 762063776 67446845 1000000000000000000 304584318 100309775 58217869 110774903 1000000000000000000 520319918 216630264 287511184 439272079 1000000000000000000 835309603 585632122 800177311 420043492 1000000000000000000 407723138 267786753 198588223 188017085 1000000000000000000 446540084 316509116 70319776 202436077 1000000000000000000 968086735 741851812 949368864 956838351 1000000000000000000 299565332 147704216 69938080 50705637 1000000000000000000 676161753 31452038 354015408 620029165 1000000000000000000 827683150 255135656 825242688 700881190 1000000000000000000 60476249 52043052 1117653 19734781 1000000000000000000 888904268 99119561 438430461 215816186 1000000000000000000 843776200 295852061 252890855 219872078 1000000000000000000 900197190 159539452 800475256 112158195 1000000000000000000 809524405 294933002 26781157 206043593 1000000000000000000 661814017 518399896 434099701 284996819 1000000000000000000 206500294 112331797 61971735 22680142 1000000000000000000 206667800 192946683 71362226 13007218 1000000000000000000 329585993 257564790 249201594 132555543 1000000000000000000 511672757 399642044 37675622 272694418 1000000000000000000 427596163 334641380 333702882 305684846 1000000000000000000 71024708 40693075 43844552 66274665 1000000000000000000 855812443 538170666 40196750 591343548 1000000000000000000 101755583 38393238 11800257 3593970 1000000000000000000 642875859 507079335 419278272 510395639 1000000000000000000 462128241 318510697 319832602 355312904 1000000000000000000 809631803 691733915 181079978 151180196 1000000000000000000 253572481 238330093 79661733 108095280 1000000000000000000 328953402 294952279 267835218 152173279 1000000000000000000 36688427 22913273 9926136 11463980 1000000000000000000 202913827 59622772 20507463 192551288 1000000000000000000 60036082 54484024 13118459 58037966 1000000000000000000 544526996 135828054 44613795 341416967 1000000000000000000 205325353 188321951 131300235 199909692 1000000000000000000 405132669 151994744 254288236 97454854 1000000000000000000 736731600 72467996 285228168 235450271 1000000000000000000 763317228 262488119 82152339 363827682 1000000000000000000 858748039 834261623 229338757 246025076 1000000000000000000 7119758 6666972 277001 4143195 1000000000000000000 246865539 28952117 123968104 24098225 1000000000000000000 886789473 225177031 857670601 400442108 1000000000000000000 453874146 316555980 130372787 281843926 1000000000000000000 901715292 761815041 837507833 33279614 1000000000000000000 445795137 346140266 407514229 88411581 1000000000000000000 724939458 672917826 519596796 364420248 1000000000000000000 555990833 361829493 183639681 463347229 1000000000000000000 917154949 613104887 270237102 452794718 1000000000000000000 795793885 4049272 397661884 47517797 1000000000000000000 951830332 424049444 813967625 697417207 1000000000000000000 935804418 31017472 371525544 23446627 1000000000000000000 699423453 247848964 698917722 224490682 1000000000000000000 206478492 123212840 192521269 34481817 1000000000000000000 609886095 439309858 302363876 502758380 1000000000000000000 950089375 559088306 574099463 727792633 1000000000000000000 8671744 3297689 2673180 3077692 1000000000000000000 249456615 64905332 93138866 183666207 1000000000000000000 289833891 105946070 95961976 86196133 1000000000000000000 115375051 1823080 70994859 10118028 1000000000000000000 334254137 40537222 33841486 306115928 1000000000000000000 209618108 135524905 31737437 192366898 1000000000000000000 296221547 82115049 152264417 160206642 1000000000000000000 153162970 76170926 138985838 132113454 1000000000000000000 914699711 689798183 354512819 529293974 1000000000000000000 663762732 235505292 318982946 522546071 1000000000000000000 971915209 137744013 484887104 645179111 1000000000000000000 568594136 324450153 128430675 175417263 1000000000000000000 872860974 830450855 262177362 833523622 1000000000000000000 537610981 260727964 237973074 209861881 1000000000000000000 888826776 122153695 138837025 499520562 1000000000000000000 558795306 298543163 283389778 18812233 1000000000000000000 877044234 60542223 279377058 118426542 1000000000000000000 274360611 54192321 139077088 23084612 1000000000000000000 566489199 78845466 472367764 239107199 1000000000000000000 744327848 720600934 699544056 653247587 1000000000000000000 445026110 13980326 142997535 411147311 1000000000000000000 425349900 97456544 324573678 48164408 1000000000000000000 250107541 131328533 225171933 18146927 1000000000000000000 170859194 84431593 115326121 107786916 1000000000000000000 482488464 459105342 387501848 39832685 1000000000000000000 847907254 137444427 408417430 145916761 1000000000000000000 478722328 16064123 393038878 12871478 1000000000000000000 617902757 506044759 98747250 463349415 1000000000000000000 562656800 35505665 219942544 184469092 1000000000000000000 296008684 90554394 194015658 205581025 1000000000000000000 474157726 279146189 16137760 470697479 1000000000000000000 913814011 878373188 254853351 279715920 1000000000000000000 178092661 104123033 53492855 96902639 1000000000000000000 976158004 948033471 901473205 856264898 1000000000000000000 439427476 271570028 31047756 295016862 1000000000000000000 716920121 413497214 109140472 606448308 1000000000000000000 216177379 29161726 174938976 191489362 1000000000000000000 559778677 403779110 361474676 377483544 1000000000000000000 382958351 74413345 145044251 24257870 1000000000000000000 499331684 445047031 49974961 90816026 1000000000000000000 180576987 119983853 143795591 72963514 1000000000000000000 190351226 43985456 151948023 21471071 1000000000000000000 607631070 310026863 460102286 282845957 1000000000000000000 580873255 573001206 188739397 562277270 1000000000000000000 833048453 160002270 183306446 817673575 1000000000000000000 968933782 838400811 288775983 134846205 1000000000000000000 275443081 96866510 267231838 15606866 1000000000000000000 862627975 772715769 48077948 129065396 1000000000000000000 812490634 555749316 174279024 774498657 1000000000000000000 304886009 56351535 173066482 115937227 1000000000000000000 109055935 105651680 105611253 5544436 1000000000000000000 59094630 53671090 36597643 7931279 1000000000000000000 869060497 409858759 198701141 177626754 1000000000000000000 151861522 87020589 51472719 99831358 1000000000000000000 291714012 23001988 10837796 221146899 1000000000000000000 124121438 108057828 80331805 100115358 1000000000000000000 493250846 38778922 316516457 232061022 1000000000000000000 905561011 900013537 685296697 189674222 1000000000000000000 295723131 141080426 223169457 271490369 1000000000000000000 861158843 831412821 513279932 447877830 1000000000000000000 758462659 610231464 99142176 265089536 1000000000000000000 297604599 53086422 164353344 289321094 1000000000000000000 446138743 115774016 161640879 229476546 1000000000000000000 991255469 717209155 609439643 488483329 1000000000000000000 433244086 38565753 139490259 231041518 1000000000000000000 631989426 93351179 358191385 594681748 1000000000000000000 559336986 2403043 154676418 451099236 1000000000000000000 221256504 108561716 76625567 30246608 1000000000000000000 675891831 263276740 645859481 239572619 1000000000000000000 245317336 32184207 18748530 31650163 1000000000000000000 195747856 17667440 132781705 39253793 1000000000000000000 473075948 125165701 251509913 214216166 1000000000000000000 727325408 275073944 226393642 288692514 1000000000000000000 737297297 98770929 473567951 295717633 1000000000000000000 87490570 45469774 59325858 44699666 1000000000000000000 648531524 159777111 213035196 495635740 1000000000000000000 528438065 128815553 378471101 189719392 1000000000000000000 314167197 230496509 46622397 289463655 1000000000000000000 683463059 273785402 494960288 95179274 1000000000000000000 123316568 11401178 49149439 25954606 1000000000000000000 812035061 461666286 499263336 211892379 1000000000000000000 939340606 119521493 135882110 590575707 1000000000000000000 350119542 35329125 231828361 150261577 1000000000000000000 5028772 4931774 3431743 268463 1000000000000000000 144524151 13116770 21828021 73418465 1000000000000000000 403726966 382346086 309346443 297221615 1000000000000000000 627476468 39552901 430502671 561227588 1000000000000000000 835565345 72539227 387469765 395744482 1000000000000000000 73325603 52691415 58959430 228842 1000000000000000000 604847425 315351379 11777303 563507885 1000000000000000000 970066732 718011918 533935329 727510420 1000000000000000000 191999264 135094631 163935275 16854061 1000000000000000000 844969904 35416954 809654593 649970444 1000000000000000000 481022993 450782997 362750171 330997341 1000000000000000000 786284564 455932418 766692322 783863346 1000000000000000000 960316108 194216545 570064155 346844170 1000000000000000000 295388121 50400345 79975246 163375497 1000000000000000000 156060371 45042202 150511464 72969901 1000000000000000000 175026755 73328273 144391062 65555654 1000000000000000000 595976601 17184971 424825432 123389072 1000000000000000000 341890802 164155070 252247405 131375110 1000000000000000000 535567391 217354138 509204480 475083411 1000000000000000000 396065464 359477023 369877642 312990004 1000000000000000000 464859773 361694430 306128268 348945178 1000000000000000000 337293480 297721690 279790213 158491148 1000000000000000000 916272830 703199280 358367839 862574600 1000000000000000000 618522583 450996315 189270498 130146999 1000000000000000000 560069077 479068590 289382993 386869516 1000000000000000000 443447499 153712586 243629916 100866376 1000000000000000000 994946812 182254617 211636966 514452023 1000000000000000000 249959970 1645049 217615188 48708118 1000000000000000000 455414865 150006859 328673641 321994208 1000000000000000000 223886485 250365 138451100 17306379 1000000000000000000 384488209 369718776 228320999 58847131 1000000000000000000 885685532 21791465 55869840 214228908 1000000000000000000 334067125 156948036 323731414 288244901 1000000000000000000 506467816 27731 249477477 431676159 1000000000000000000 378198967 31071227 174239046 152611275 1000000000000000000 450481270 121396992 50762534 323531090 1000000000000000000 730199084 447585647 707700192 658459006 1000000000000000000 192033918 131147014 56914451 55074400 1000000000000000000 384313838 117885320 65090019 7647921 1000000000000000000 242772359 168816289 91674961 8785425 1000000000000000000 484472684 129938978 301912035 325958070 1000000000000000000 19409786 11525387 6425358 11286931 1000000000000000000 718089776 23515957 602059979 182106993 1000000000000000000 451106744 322793056 8316550 319627284 1000000000000000000 611710228 350802487 530998490 426011649 1000000000000000000 587533754 237521954 524109095 91132349 1000000000000000000 219379098 15881427 199613049 36966149 1000000000000000000 993337904 43122146 117019831 623006510 1000000000000000000 777394545 168099760 524273391 239623413 1000000000000000000 39800535 3936986 22170975 38259023 1000000000000000000 756538506 260156858 513232583 545905935 1000000000000000000 91017212 48770558 79558083 6012330 1000000000000000000 725007588 27200766 694989365 299983487 1000000000000000000 410512189 198268451 312190399 97155132 1000000000000000000 115390278 84763355 25031356 59045467 1000000000000000000 713524438 193382003 587161965 307743640 1000000000000000000 65855224 11792357 62738148 52459193 1000000000000000000 768808941 539232420 383599580 182822562 1000000000000000000 829093667 447409804 436554456 481381804 1000000000000000000 49195148 47200147 38396522 39320776 1000000000000000000 366092115 82146318 58592492 172758700 1000000000000000000 624839266 14717250 298139170 451399049 1000000000000000000 839449460 342728209 542417548 96558536 1000000000000000000 753594273 414094683 53826476 736609358 1000000000000000000 851704495 356877973 836488032 57202219 1000000000000000000 198815586 66902639 61809320 75519987 1000000000000000000 574585911 375084832 18782011 444929969 1000000000000000000 628902606 434575101 176424369 387887907 1000000000000000000 904631649 280434333 535212749 634610367 1000000000000000000 429691083 183015755 199111882 40318729 1000000000000000000 784177330 157727550 260830906 632298756 1000000000000000000 595005581 520988843 547731916 582226882 1000000000000000000 433384346 162976697 177167465 51811050 1000000000000000000 709752549 645658992 183700604 211833658 1000000000000000000 951587140 283810263 797199148 850804681 1000000000000000000 93172969 5877355 73966309 91450469 1000000000000000000 545521369 486652612 177961793 529167718 1000000000000000000 178965150 23287641 164137489 15691744 1000000000000000000 400474479 399441925 210679871 31136466 1000000000000000000 193208283 121716060 63453028 158398323 1000000000000000000 70414853 9264565 48529794 50072255 1000000000000000000 888152180 684778325 160291857 161825281 1000000000000000000 820327557 679738597 808806955 279564244 1000000000000000000 889616138 360317041 754207554 849793059 1000000000000000000 551000817 44730865 459339615 222251455 1000000000000000000 982319130 660652306 194280503 166133477 1000000000000000000 26068173 15920098 14918502 5501064 1000000000000000000 577553825 459831657 165809078 215523828 1000000000000000000 237866849 142606118 186677290 195183015 1000000000000000000 370568203 345734990 168645888 189074226 1000000000000000000 731399588 466930890 619931160 681944435 1000000000000000000 43993018 26732393 31000078 19352472 1000000000000000000 870231133 563381032 791821393 855692953 1000000000000000000 199337694 122832287 12789237 150236214 1000000000000000000 380603745 142688923 101967109 340495083 1000000000000000000 494044729 392524542 122486915 104187624 1000000000000000000 918583657 84323206 883195241 750821596 1000000000000000000 139902002 30013422 66033018 98842310 1000000000000000000 537936798 276095580 202562394 407405500 1000000000000000000 543757415 9152643 476967307 97027652 1000000000000000000 437118929 435111565 256867493 368502656 1000000000000000000 285950558 57261697 120539106 263906326 1000000000000000000 594125702 319247155 549793841 401927718 1000000000000000000 156553710 133536842 126190068 124781811 1000000000000000000 786194270 518764284 325383679 289854147 1000000000000000000 121742413 27134826 91854388 78470895 1000000000000000000 370875395 124565103 216098102 152040156 1000000000000000000 904811355 79621779 188161983 585387866 1000000000000000000 157825565 16310120 118841611 36687695 1000000000000000000 23893913 17008592 13313137 21549308 1000000000000000000 276920600 76321507 5804833 162756042 1000000000000000000 937459211 828090012 777009462 829458085 1000000000000000000 369599241 76943466 86583858 144282338 1000000000000000000 257184185 218300707 135233579 23928791 1000000000000000000 478888327 5625114 31236794 356134112 1000000000000000000 321342421 31225389 261503234 272437203 1000000000000000000 39657563 9021845 31812172 15547153 1000000000000000000 651160022 129818528 38286464 176718243 1000000000000000000 899346168 389299707 47780492 195451092 1000000000000000000 88602662 74860260 32611854 73730552 1000000000000000000 506638665 124175999 307500317 488602735 1000000000000000000 742937734 721162569 106629233 655639162 1000000000000000000 169137558 113350670 159184090 106962875 1000000000000000000 32644729 10782857 14789107 32223738 1000000000000000000 19839167 12104155 7259901 18209954 1000000000000000000 872198190 406536244 869650850 209007141 1000000000000000000 785967350 256057352 46952298 524848401 1000000000000000000 817676910 39169742 708103724 101049364 1000000000000000000 243872641 48810758 191259319 134325472 1000000000000000000 178787098 51376568 29560752 164491423 1000000000000000000 74158677 72124050 32835311 7469768 1000000000000000000 51955137 21233799 31377421 18388085 1000000000000000000 916974566 246637236 790374155 483846415 1000000000000000000 852133780 134122771 39632826 154911364 1000000000000000000 586171025 316001566 377989688 41143154 1000000000000000000 756152789 716487577 415622203 295813274 1000000000000000000 581708190 63866829 108042518 227329788 1000000000000000000 4454003 121568 2489823 2961400 1000000000000000000 785008124 391842088 492437703 222014261 1000000000000000000 184471556 147021966 66534338 152537244 1000000000000000000 847314045 313416404 791988901 57157304 1000000000000000000 118559460 47084073 21961422 103119622 1000000000000000000 222961420 129620267 201110369 8135433 1000000000000000000 644189289 40115527 174462002 597342414 1000000000000000000 551607905 419678016 402655542 165041185 1000000000000000000 460498241 171904018 173431325 287761285 1000000000000000000 29064208 8678912 20964891 13273968 1000000000000000000 597452443 287821422 477338609 331547214 1000000000000000000 714017452 162978706 277323820 293741559 1000000000000000000 47475837 40224101 25642490 37718107 1000000000000000000 855931109 12792577 463261494 468514343 1000000000000000000 467381565 166802977 188244101 374079893 1000000000000000000 956230504 722382104 140977655 334135298 1000000000000000000 225116072 187611191 48988166 1870448 1000000000000000000 476355146 458436024 390929863 427421613 1000000000000000000 702004522 661632102 181225706 503350449 1000000000000000000 333439419 131274853 242905044 28672340 1000000000000000000 761574343 487839142 32946629 62876863 1000000000000000000 218354684 182802001 147264658 94873733 1000000000000000000 406376548 101662271 257500614 1040184 1000000000000000000 796920142 290885808 210984343 322504861 1000000000000000000 958286820 609989826 777831280 482658177 1000000000000000000 978622831 156771005 297931816 948907025 1000000000000000000 956886846 582785545 504056657 849489955 1000000000000000000 370669471 64303386 345393665 330379820 1000000000000000000 928030287 535488591 632862774 421913250 1000000000000000000 315454319 156576633 171024916 254843771 1000000000000000000 382947353 181137452 337725728 347015624 1000000000000000000 108879939 59670276 56994809 98119702 1000000000000000000 355325055 143317837 210324923 233535045 1000000000000000000 622732183 24786160 415015495 334246717 1000000000000000000 323348005 169842383 191653470 6927258 1000000000000000000 435555379 362807769 396747370 33723233 1000000000000000000 982014901 24007346 936749980 203671573 1000000000000000000 275721204 128319980 58044601 68136283 1000000000000000000 305315188 271236971 295668218 303501238 1000000000000000000 102084371 85382045 10610424 8632824 1000000000000000000 141551193 102915697 116922347 95852945 1000000000000000000 943720404 521989347 535946341 830866385 1000000000000000000 489931318 45604405 146171486 329464085 1000000000000000000 872883303 107832848 468011755 759040346 1000000000000000000 395816538 392636903 238733038 44233001 1000000000000000000 203035807 117813842 94809379 83668829 1000000000000000000 78124521 43751053 9735424 50993075 1000000000000000000 300653834 209726957 188119223 217819388 1000000000000000000 439174094 379457198 220741237 360197551 1000000000000000000 396662129 65513169 251961519 77053153 1000000000000000000 482868760 78062334 172806042 256562606 1000000000000000000 233957310 207325863 667004 10471047 1000000000000000000 960435436 805296966 408268079 485077786 1000000000000000000 542217058 415058898 272425916 287418880 1000000000000000000 643583297 140856376 33833941 207260628 1000000000000000000 936797727 433414160 789479281 385125415 1000000000000000000 637629845 127720452 427136835 117606401 1000000000000000000 990719813 125961761 892665190 505026291 1000000000000000000 947901524 312454570 821787958 386780959 1000000000000000000 552551753 132082537 365398370 43583438 1000000000000000000 508408947 495717889 250395666 85689025 1000000000000000000 905128113 317802508 876401063 635882330 1000000000000000000 37622083 7253522 2244875 13251028 1000000000000000000 967335184 802746957 917407472 163678397 1000000000000000000 931943161 186513244 145909812 175466435 1000000000000000000 420700952 352988684 361131554 319164309 1000000000000000000 638887469 195808803 455743232 439138169 1000000000000000000 184619587 4974777 145739206 106029557 1000000000000000000 995471965 444483154 817983065 598028907 1000000000000000000 600911637 64551897 267795782 470029773 1000000000000000000 324326567 116772756 40049394 145262073 1000000000000000000 445871018 396663832 400021859 424269766 1000000000000000000 863589635 297921821 313359630 71438818 1000000000000000000 277561975 277075854 96491645 240172023 1000000000000000000 710557424 199820828 353336909 309430079 1000000000000000000 24460010 1350705 7642345 18492804 1000000000000000000 820005126 638287877 766365025 85414805 1000000000000000000 2442161 392841 2081192 1960194 1000000000000000000 645408327 550303610 447815355 114023588 1000000000000000000 636051432 99770558 129025112 480160003 1000000000000000000 654675448 471630397 44221115 497038221 1000000000000000000 913558021 293988837 210906281 204315366 1000000000000000000 647449908 289234830 444430612 193067946 1000000000000000000 374688642 94780681 21706278 84960094 1000000000000000000 206350927 154109598 147148693 70451503 1000000000000000000 499264525 253012006 310814631 98027936 1000000000000000000 745310939 21905720 5853023 78911211 1000000000000000000 868444859 102451479 725248327 714634459 1000000000000000000 289146223 215794311 141131554 39385083 1000000000000000000 626732333 294510395 305753963 186996212 1000000000000000000 250764389 170154131 28768276 185782551 1000000000000000000 456633472 256579954 151803743 191853583 1000000000000000000 982213296 98533603 630218087 547713895 1000000000000000000 27030322 15610987 11155625 14432688 1000000000000000000 250137937 126202909 148707404 55719829 1000000000000000000 319439117 297485578 149679306 149830944 1000000000000000000 679735285 27192773 647038167 636295039 1000000000000000000 202538872 136435167 110254960 76733229 1000000000000000000 656379600 26089848 552468451 24389313 1000000000000000000 304617526 248867574 117776686 225271028 1000000000000000000 707465030 338022002 183983880 654124794 1000000000000000000 404487226 326042280 401764945 348977840 1000000000000000000 817202749 154492323 96990424 529529847 1000000000000000000 640367050 350896120 391065102 431835582 1000000000000000000 838256109 791228925 163290987 36495625 1000000000000000000 261315795 180375455 217858428 88837624 1000000000000000000 80574864 40270967 32658050 61816790 1000000000000000000 964502398 564823102 584630517 314380440 1000000000000000000 139694947 41355197 32186690 67745152 1000000000000000000 346142331 184833972 338881932 27248093 1000000000000000000 705415609 96767728 220520540 58284395 1000000000000000000 315402558 306137736 281294996 41031350 1000000000000000000 146712940 18021037 26470580 37103873 1000000000000000000 599973742 97242315 311627194 500047798 1000000000000000000 682491688 110939738 86679074 168318522 1000000000000000000 567101124 431184614 488088769 219451491 1000000000000000000 447851543 186744530 286915774 55257074 1000000000000000000 40383422 481983 19402420 19794367 1000000000000000000 236685900 182684266 42322016 155023530 1000000000000000000 481491174 106856080 450591551 122553576 1000000000000000000 267135171 76690501 178417264 7113029 1000000000000000000 130142918 126552604 10593817 44820031 1000000000000000000 760379113 75988248 413939221 103579858 1000000000000000000 195543159 148305354 29084356 192178351 1000000000000000000 603150672 408157627 20574648 461848055 1000000000000000000 901684239 139451217 435266152 750068038 1000000000000000000 60406021 49283799 57691422 33320566 1000000000000000000 421409313 210651955 126213057 409980957 1000000000000000000 599245545 68069937 316377831 197772535 1000000000000000000 154351268 13885997 153303645 40540225 1000000000000000000 30809078 14754268 23783417 16363275 1000000000000000000 188144452 138715322 6039981 16610135 1000000000000000000 100997577 86881975 11609367 858943 1000000000000000000 131840634 8105920 42222561 96711069 1000000000000000000 643413594 330294764 403482912 247850643 1000000000000000000 346005620 345792816 126666050 335255920 1000000000000000000 450752598 217100973 426082642 119068299 1000000000000000000 182385091 23170983 40483409 104090639 1000000000000000000 222349406 88980954 157537189 159284834 1000000000000000000 246904369 194338714 77087277 23520496 1000000000000000000 514878643 479640263 405584557 155478525 1000000000000000000 508387083 508059820 462198190 381230521 1000000000000000000 137047687 86975671 50581668 91086049 1000000000000000000 464557056 437242685 90265920 47183036 1000000000000000000 427806743 105282697 146452871 330170010 1000000000000000000 461975908 58644564 233602261 23829662 1000000000000000000 492711777 181270714 251665886 41480925 1000000000000000000 811835239 120356096 732655632 170821236 1000000000000000000 143643959 19544671 107118193 110159689 1000000000000000000 288686126 15289238 91491110 159788517 1000000000000000000 477110741 240867128 285708938 415254807 1000000000000000000 413960221 213933225 144500242 231683556 1000000000000000000 659128081 58981747 329303443 623111071 1000000000000000000 733898333 355152785 231803922 26143185 1000000000000000000 46737201 45702709 9119113 41886806 1000000000000000000 670310284 96740035 128352682 556505352 1000000000000000000 921629096 884641152 631830764 147221667 1000000000000000000 552068234 195052690 233573707 506189203 1000000000000000000 207286174 164873729 38772362 1984248 1000000000000000000 508217647 420728222 455333893 454554801 1000000000000000000 976331414 100681120 523310009 185225913 1000000000000000000 400477531 280088241 53010153 313417628 1000000000000000000 306462667 194034477 97901506 2464832 1000000000000000000 728820811 417528554 1448322 235158702 1000000000000000000 519641690 236464635 182765962 508618680 1000000000000000000 882115440 735356619 622816181 49279933 1000000000000000000 941279729 626664666 146145352 1515323 1000000000000000000 818826451 42949040 51063488 255577549 1000000000000000000 379185991 176570460 38182765 279424425 1000000000000000000 144456503 141008501 115482999 27079086 1000000000000000000 596318739 504517095 532660842 418640168 1000000000000000000 832455215 192609328 499489025 192428559 1000000000000000000 475411037 442976055 120292948 379768115 1000000000000000000 444095778 379018017 295433438 402072583 1000000000000000000 312270910 235200120 298377480 283154361 1000000000000000000 448577129 188568782 232620505 275070569 1000000000000000000 703414774 171884371 601987756 537667696 1000000000000000000 782471120 550298388 141360041 570667920 1000000000000000000 95637763 66156669 39363527 76660939 1000000000000000000 898835586 370859579 722693713 253528838 1000000000000000000 488559619 212850167 33113080 291400307 1000000000000000000 773954615 130092795 52913720 124550172 1000000000000000000 760283500 364784647 236381161 697153514 1000000000000000000 381007006 49851060 21673341 292028210 1000000000000000000 465757722 32102486 169756855 80259699 1000000000000000000 209146580 18485559 148310832 175086383 1000000000000000000 643935911 168778468 384347804 571890807 1000000000000000000 629186984 417351259 290968860 182331118 1000000000000000000 817460152 432521528 750579533 438601147 1000000000000000000 139780659 110208672 126497502 34091008 1000000000000000000 156407832 73446708 51426553 103291243 1000000000000000000 926312497 664863994 66657653 496999624 1000000000000000000 132641394 77029712 14918962 6015058 1000000000000000000 800048427 409776669 662892014 521236192 1000000000000000000 235470019 75532851 218809122 58702149 1000000000000000000 219570896 17150761 151097310 60001590 1000000000000000000 884357514 624578904 586216090 712828531 1000000000000000000 228336943 203051928 25407691 46963452 1000000000000000000 616185810 394690909 427004137 552605203 1000000000000000000 327968622 267745056 318920704 139604797 1000000000000000000 733239676 168077846 116742148 485559379 1000000000000000000 939025236 290244403 815300538 895119794 1000000000000000000 169074922 117041766 27185835 39793003 1000000000000000000 260214103 245064464 3201859 181477669 1000000000000000000 932683858 920912825 610798320 464538572 1000000000000000000 778659637 112108920 256853495 649111262 1000000000000000000 47491675 41321141 39906189 44424547 1000000000000000000 32280416 2901651 4901345 29490534 1000000000000000000 512194289 495399736 123087335 161712833 1000000000000000000 23731985 20385976 9905682 9774218 1000000000000000000 801476342 199630560 186735477 736458156 1000000000000000000 434104384 58791149 16683239 351328499 1000000000000000000 501899339 349190158 412846414 196643589 1000000000000000000 193949547 28423488 61868851 121844112 1000000000000000000 20932402 12647287 13759344 2825656 1000000000000000000 551213148 269283740 169216258 408777556 1000000000000000000 420889036 301742520 118143695 139543021 1000000000000000000 546696091 152341774 484323357 243309797 1000000000000000000 893882552 282566519 591871033 472612838 1000000000000000000 77713459 54880544 61045575 18535463 1000000000000000000 256286036 246464904 172151281 235065234 1000000000000000000 177611931 145854129 139220947 62247060 1000000000000000000 289168609 255983802 283475291 252215718 1000000000000000000 55470900 40885229 30028809 8166417 1000000000000000000 657513221 624375995 58940665 456391073 1000000000000000000 753740138 406018310 25672632 100556317 1000000000000000000 597934465 465490160 56167183 132402701 1000000000000000000 864409587 309365729 84316435 691418672 1000000000000000000 706869996 407720185 278224647 536624152 1000000000000000000 78740562 733807 52050401 47791424 1000000000000000000 164958680 58065802 122337310 33843235 1000000000000000000 972621341 667225496 710171047 954835581 1000000000000000000 12975932 1848398 11960932 10600027 1000000000000000000 451213093 329684832 84980438 110756482 1000000000000000000 762906044 143473239 410506546 84235840 1000000000000000000 692955038 598491036 536424948 374641287 1000000000000000000 374573720 126455041 185072183 97817200 1000000000000000000 486220935 426874878 423784839 32218660 1000000000000000000 808477113 794550038 19978464 345900591 1000000000000000000 670959919 226816119 260765555 364647171 1000000000000000000 261362122 173722526 182659004 229921699 1000000000000000000 647527912 642307256 243599340 6023176 1000000000000000000 416556023 285658826 333721674 21074260 1000000000000000000 84341774 33448812 119086 31132898 1000000000000000000 509697183 407825961 433437058 38125498 1000000000000000000 754822525 585807372 529550447 282991265 1000000000000000000 262505370 254951121 36198712 23571572 1000000000000000000 699702584 349646358 98069810 448647283 1000000000000000000 106717241 7979496 35763153 59028575 1000000000000000000 546950339 406103540 56661689 301785202 1000000000000000000 6818214 2182666 3853236 6345047 1000000000000000000 846781091 277316080 581775487 747258727 1000000000000000000 869317418 720198552 821328725 509588598 1000000000000000000 256448713 69220289 52285406 202817203 1000000000000000000 381818168 250043103 139326265 13139869 1000000000000000000 471043628 182340904 420577121 225231949 1000000000000000000 152502170 148735918 102409598 112717896 1000000000000000000 655037272 459216094 339564999 357584433 1000000000000000000 598621663 129449641 58928037 301320550 1000000000000000000 833016720 399335224 593738000 563230680 1000000000000000000 330061832 48556690 89986264 106238912 1000000000000000000 194507967 113433304 114272433 61350026 1000000000000000000 948963189 611233046 859084587 920013029 1000000000000000000 986120649 789023658 968212476 744161849 1000000000000000000 794542494 751341441 504171094 595218780 1000000000000000000 267327188 86148870 45662815 143727800 1000000000000000000 586909102 392324918 516259631 520317893 1000000000000000000 576754598 408164144 470325156 214500521 1000000000000000000 639493274 584617588 208803591 516278156 1000000000000000000 55098095 19997837 12268529 19181706 1000000000000000000 837351952 322601880 95414657 27935112 1000000000000000000 707877333 110564936 447816701 641725318 1000000000000000000 461138248 322515333 49190677 349284803 1000000000000000000 982402899 780489037 461148379 65102474 1000000000000000000 625571660 370388802 92956021 144172711 1000000000000000000 60911710 47000972 20726413 30759127 1000000000000000000 855702534 806077448 495977117 839920166 1000000000000000000 281966841 6163980 62909286 87624132 1000000000000000000 621941137 421279365 552668716 510458451 1000000000000000000 820582306 522147250 387591897 14776181 1000000000000000000 668997265 435377992 271887320 214434070 1000000000000000000 355268076 26851571 148015169 113926692 1000000000000000000 668876488 62499989 182204108 220549059 1000000000000000000 438882097 198304529 100783408 263453836 1000000000000000000 718889878 708993824 361678490 22524938 1000000000000000000 986452187 597690374 846676725 248230813 1000000000000000000 319620307 143414550 186902749 274624700 1000000000000000000 859857962 553611009 417148428 224882180 1000000000000000000 528050359 431631339 16467114 160528587 1000000000000000000 222150413 58641927 57023411 44203846 1000000000000000000 446697461 398331174 401319010 373323693 1000000000000000000 856621057 394102144 320269975 669153989 1000000000000000000 613680030 191126083 206536464 11551579 1000000000000000000 648457456 317618582 524436669 592780735 1000000000000000000 626039082 346357108 532216653 330106977 1000000000000000000 232657388 13394976 12849296 60734596 1000000000000000000 929367892 469130361 148416271 737916313 1000000000000000000 149696456 47143337 126586825 124328477 1000000000000000000 241237365 90492476 121894030 107729263 1000000000000000000 710010394 529746595 45099241 326409641 1000000000000000000 159964173 17239983 108565560 154759387 1000000000000000000 64343538 33372425 27130906 54437331 1000000000000000000 869305944 838990842 784609737 271277789 1000000000000000000 766704316 628771034 208650943 611405230 1000000000000000000 876794128 563388913 323690334 22447215 1000000000000000000 790036638 252245671 83790289 473649728 1000000000000000000 73979674 4165723 52653389 72980039 1000000000000000000 967793613 384274328 593674963 280275310 1000000000000000000 311445503 160860617 266137069 301372862 1000000000000000000 851149677 403815021 701758632 786692486 1000000000000000000 871259242 344465482 442573726 777027263 1000000000000000000 453977880 212928518 165934580 428216903 1000000000000000000 963142723 47241197 214999523 647424394 1000000000000000000 119849042 50147704 87813594 49073001 1000000000000000000 337050772 309518626 73208475 208596808 1000000000000000000 849942326 334063675 701466173 601999923 1000000000000000000 929596117 865370601 446232318 883354911 1000000000000000000 485271312 222873463 466329440 59130672 1000000000000000000 521362462 374097884 9391262 441217627 1000000000000000000 707626278 541429708 389128928 638181173 1000000000000000000 611045473 49171647 285748642 222964248 1000000000000000000 714835559 313158278 195261942 116823549 1000000000000000000 112154944 18226665 95242132 31859988 1000000000000000000 788412024 156108031 409519233 544255987 1000000000000000000 556973402 103204588 382317075 534881336 1000000000000000000 600797141 202694271 590811857 346470640 1000000000000000000 916057423 415527715 533833594 330745992 1000000000000000000 849240818 347174827 655129359 520920254 1000000000000000000 188670406 4207215 171118701 52935423 1000000000000000000 110572135 87201492 10259622 12336569 1000000000000000000 808624979 411800440 121953182 576869808 1000000000000000000 703833470 3768993 558685879 351453509 1000000000000000000 755994353 137661911 754787321 109937 1000000000000000000 177794308 96612542 38451655 170972274 1000000000000000000 613379751 561602179 176228059 20905372 1000000000000000000 456555199 301363073 336963436 97905217 1000000000000000000 695145158 77435474 51618548 369425210 1000000000000000000 831605626 316539271 280228820 820184828 1000000000000000000 211702345 110805342 78057228 102010923 1000000000000000000 72976186 41176007 17766902 28275450 1000000000000000000 978762933 183709701 441926964 879979003 1000000000000000000 710364260 480546313 409360854 345533754 1000000000000000000 603378613 89579871 506889735 50568238 1000000000000000000 497669522 241656178 140440417 298728432 1000000000000000000 52635905 16735451 22340539 38822272 1000000000000000000 527094208 439036945 404898494 393192102 1000000000000000000 451766341 444534859 328696586 138303748 1000000000000000000 784438704 623289350 3604429 537536721 1000000000000000000 471466508 231435212 304300462 246640746 1000000000000000000 599109624 379486131 432886515 396746537 1000000000000000000 887961362 801376923 114962966 179061870 1000000000000000000 164521811 11925498 113416666 5374509 1000000000000000000 259918859 78641425 6849054 33887036 1000000000000000000 307509284 58306961 103708204 28624457 1000000000000000000 63550016 49073143 60073460 48678206 1000000000000000000 453193373 130570206 110107873 432393866 1000000000000000000 133267458 87637796 24421105 25203279 1000000000000000000 197403595 73838778 22826270 95814327 1000000000000000000 932838151 434479213 800174957 664683250 1000000000000000000 820554456 343642621 167731866 363915772 1000000000000000000 185310212 76456144 57258047 167760008 1000000000000000000 652520708 270383536 52949426 54612719 1000000000000000000 504845306 155825700 21810495 455533748 1000000000000000000 124967258 109438704 80532539 53543864 1000000000000000000 804750503 106245639 221807638 225511281 1000000000000000000 542462727 399460819 436006349 349561095 1000000000000000000 447300901 83026147 65384182 108325376 1000000000000000000 491332444 313259976 66362672 435057907 1000000000000000000 883221716 756959674 737638663 483406940 1000000000000000000 481291255 475171412 237584652 100061496 1000000000000000000 353651551 215216306 221283814 71597017 1000000000000000000 779046536 639153234 353451819 233896561 1000000000000000000 875485651 52377112 286180361 158602841 1000000000000000000 99960651 35189866 63929338 51304389 1000000000000000000 263118433 71701883 2654787 930289 1000000000000000000 161012460 59548282 121673162 72646674 1000000000000000000 909813109 63525551 580866240 616766782 1000000000000000000 994851729 389652006 91832573 706850686 1000000000000000000 519275577 283503725 280456277 208806771 1000000000000000000 440281795 113025270 240872806 207005568 1000000000000000000 860754435 517608290 635225638 83446438 1000000000000000000 464838992 29254754 293871146 138838423 1000000000000000000 595840318 11294015 515777147 353434329 1000000000000000000 806487736 651745240 405998806 402001168 1000000000000000000 425169264 153118932 361578207 245104050 1000000000000000000 614412233 167378187 125160926 257805632 1000000000000000000 520069075 455766393 446667015 321905299 1000000000000000000 719581662 405591502 410406333 448492725 1000000000000000000 689833067 321105285 635461034 363273204 1000000000000000000 583198605 30517315 133770909 241546548 1000000000000000000 852232530 151435082 102224665 699293859 1000000000000000000 831789746 577516593 35082956 454077388 1000000000000000000 590608832 489911620 326151815 276057891 1000000000000000000 701950793 649982602 685238569 216802474 1000000000000000000 678710924 461628601 437452272 350259697 1000000000000000000 335244504 134329836 290109957 136219018 1000000000000000000 812868547 432032754 684588641 283799635 1000000000000000000 233850034 18881474 62214811 25747859 1000000000000000000 210861083 103259297 66373377 104755348 1000000000000000000 943496334 34810269 59110220 852412518 1000000000000000000 792647871 635363895 716398213 95938313 1000000000000000000 878328156 785296606 663089429 621632466 1000000000000000000 558681291 229230629 53777037 201387893 1000000000000000000 881207245 838154201 584513788 311597875 1000000000000000000 488422809 154153239 77841950 343814291 1000000000000000000 805630107 157419903 554561256 498449699 1000000000000000000 428788688 205693723 303812529 192724673 1000000000000000000 558051549 83977945 501000014 258532540 1000000000000000000 64620977 17285813 42631347 22103015 1000000000000000000 672416947 98406545 146861599 197358495 1000000000000000000 107410599 85914778 56760427 87749556 1000000000000000000 55850781 52543133 35364299 16786558 1000000000000000000 814641993 555015415 470385695 471635658 1000000000000000000 394901511 253883298 346503839 96223952 1000000000000000000 663290332 121973644 251187997 349175585 1000000000000000000 754582628 562825151 427236435 139394209 1000000000000000000 876267017 827669278 10183205 323593348 1000000000000000000 971199670 820075945 262570601 124422277 1000000000000000000 305430053 174960833 66198943 282376309 1000000000000000000 879070788 176107879 427592622 60590984 1000000000000000000 971459957 526094338 390687495 537796236 1000000000000000000 598052488 538415249 538595381 472033993 1000000000000000000 68418858 49601272 17346321 55754101 1000000000000000000 615007720 467656689 267349689 140400755 1000000000000000000 857005948 88375160 304396755 211743771 1000000000000000000 675586249 611646954 580297607 300796165 1000000000000000000 829697745 96906760 286427336 718611159 1000000000000000000 771475807 160145313 72143149 60097451 1000000000000000000 162683949 29486401 97351784 99681829 1000000000000000000 357667725 66891092 74713347 186025501 1000000000000000000 104194803 51762156 57385568 86022563 1000000000000000000 654130380 75784834 604892452 587353205 1000000000000000000 223345130 184825502 159715169 55050075 1000000000000000000 46349670 28333162 30195865 34720686 1000000000000000000 58979211 55046576 18622075 2059369 1000000000000000000 875620413 288632709 165185753 395420956 1000000000000000000 437196985 115083291 57821089 6731647 1000000000000000000 822240173 144027821 253651875 400957177 1000000000000000000 530599624 457770138 494120150 194191883 1000000000000000000 506847944 102277438 222280041 36341438 1000000000000000000 762614203 671747747 376906705 225608827 1000000000000000000 71664593 59552014 42295208 49872582 1000000000000000000 416191735 368138620 356131667 46142295 1000000000000000000 994090692 613149059 908022190 928339380 1000000000000000000 757077361 265873515 723981745 186140706 1000000000000000000 273998152 41306470 57295436 270894190 1000000000000000000 41994706 33237837 13491512 1653906 1000000000000000000 126243472 118549962 82346507 53308494 1000000000000000000 945338986 861909010 530586817 313474174 1000000000000000000 526466085 193064319 169789137 279645176 1000000000000000000 935159651 504262323 857581650 574278770 1000000000000000000 544310638 385261491 216828462 89282391 1000000000000000000 300325906 296161981 128789149 205550815 1000000000000000000 243125857 89413772 197294446 133670537 1000000000000000000 369524305 157854015 72019705 34173560 1000000000000000000 54040347 34994575 45776491 29756752 1000000000000000000 850893624 650338615 303450299 233712662 1000000000000000000 498090297 42792641 334591894 80293882 1000000000000000000 355877332 49347491 250539926 222132042 1000000000000000000 509265373 289955413 341635222 98731030 1000000000000000000 10510371 1096590 7544884 9549372 1000000000000000000 967442339 853599388 504754744 323173180 1000000000000000000 507910177 4994141 406816090 497285793 1000000000000000000 569106219 554657611 307102395 535880141 1000000000000000000 138761878 22229036 126862872 82563541 1000000000000000000 442124826 436651382 305421670 362419560 1000000000000000000 661002618 142332545 139295474 611678495 1000000000000000000 240998210 87238867 134542919 53974022 1000000000000000000 81802894 47434987 25582525 46389089 1000000000000000000 395032286 366558270 239214254 18491662 1000000000000000000 307874125 206550041 295834744 172848575 1000000000000000000 163791314 152938428 38210724 81478543 1000000000000000000 728809970 179013971 507698152 473075953 1000000000000000000 943455963 632727982 775046212 753463825 1000000000000000000 320727144 167732470 270961322 225045227 1000000000000000000 285300026 276617268 55166745 14612040 1000000000000000000 464985772 147507825 137259204 462233473 1000000000000000000 138826621 62048031 30593852 81174221 1000000000000000000 687749515 147735574 658020280 501368126 1000000000000000000 759644489 617328499 396298802 209875873 1000000000000000000 640564663 445179097 539341420 471554867 1000000000000000000 560285988 272715122 243775514 243483104 1000000000000000000 957005615 329867984 186003813 629916290 1000000000000000000 690304697 583607512 654240936 651411973 1000000000000000000 691094847 58000130 144984178 19116146 1000000000000000000 637970005 579631892 404556070 288140186 1000000000000000000 232592213 40319105 166519002 198596659 1000000000000000000 761048388 3669505 135782607 182186763 1000000000000000000 2962638 1462045 2313165 1517187 1000000000000000000 988557428 712836121 660706660 6607775 1000000000000000000 805984581 457757682 279316980 236256419 1000000000000000000 892441213 297037503 787529827 405446723 1000000000000000000 798426414 46660319 753312051 494441354 1000000000000000000 326779879 206765535 187282329 16748570 1000000000000000000 10909794 51094 9928890 9792770 1000000000000000000 541590308 382559584 425927385 202698382 1000000000000000000 15415043 2819089 12384093 5553873 1000000000000000000 389197245 355375929 76389298 338737176 1000000000000000000 873953334 872496455 56596954 160980875 1000000000000000000 78864471 71657748 47309583 2599021 1000000000000000000 546180881 429782884 208144605 479068954 1000000000000000000 724654476 561632071 191172748 346494508 1000000000000000000 941769931 251699429 908763671 168256442 1000000000000000000 522009844 214871186 261650943 57672245 1000000000000000000 48342479 27731626 28312184 1102352 1000000000000000000 635675316 42076952 514799877 575222537 1000000000000000000 208967733 40640085 89129505 23416045 1000000000000000000 904473923 285909064 744273629 667576601 1000000000000000000 109467124 30506057 59677076 98260145 1000000000000000000 557145891 433399027 165422366 333437551 1000000000000000000 333447431 45838511 134630125 186087388 1000000000000000000 567486164 132361336 326521227 150346723 1000000000000000000 500077198 38400485 29221477 128766711 1000000000000000000 755607714 423453812 245941089 461692942 1000000000000000000 434902627 295045957 168050361 434751745 1000000000000000000 216523795 62315200 115929281 15576521 1000000000000000000 671047665 385033331 191242420 32550608 1000000000000000000 206345483 83136655 87983365 10142841 1000000000000000000 647960257 165964918 156803277 82841048 1000000000000000000 920225685 388781272 782922854 656496206 1000000000000000000 19184556 7150999 15389718 14177497 1000000000000000000 751364678 612651770 331756919 260989204 1000000000000000000 156760907 130563732 44301343 131912788 1000000000000000000 354887954 87522424 78793288 309105415 1000000000000000000 392947220 384343817 190550868 371524672 1000000000000000000 352134083 290440731 21504911 184765946 1000000000000000000 714487398 31549677 442327046 236285927 1000000000000000000 607685086 324595133 292686189 449158093 1000000000000000000 391627081 102583078 165978827 210327446 1000000000000000000 776968459 632522136 242263346 331299810 1000000000000000000 187120873 37484325 179245693 11437885 1000000000000000000 371571754 71217544 220634361 105471621 1000000000000000000 635821710 452903737 316409118 559130215 1000000000000000000 769668053 493009773 394933712 680613768 1000000000000000000 78853135 38400664 45502674 4828413 1000000000000000000 526468329 108789832 168959332 236079710 1000000000000000000 129512705 102112107 21529325 81199426 1000000000000000000 915062671 273818971 475633978 703208291 1000000000000000000 727937464 605006996 389225012 85314944 1000000000000000000 710780438 441448077 271413369 321149588 1000000000000000000 158322000 91732529 17145833 32254305 1000000000000000000 289909278 127198001 258842987 182331966 1000000000000000000 516898566 488878812 178589213 507336443 1000000000000000000 261354075 23237025 148210149 21337072 1000000000000000000 540569046 351453018 89528449 333165303 1000000000000000000 336925017 186589253 89300771 290059963 1000000000000000000 996119288 140445934 65629168 798644843 1000000000000000000 703333152 701231537 395723045 19462001 1000000000000000000 819689803 536366450 129023198 329598382 1000000000000000000 154238608 67776476 36266877 97079459 1000000000000000000 451177994 11227988 439588946 256545576 1000000000000000000 945684876 878396753 711642730 642897178 1000000000000000000 525320698 366631150 255767026 343032114 1000000000000000000 760156850 306519725 751877135 348440768 1000000000000000000 379315346 258720782 185628725 131528762 1000000000000000000 502942055 349950648 248486051 77746295 1000000000000000000 590861827 502769675 327285325 369584795 1000000000000000000 773349508 522983879 436120442 537876490 1000000000000000000 476968198 190326203 122304714 379339404 1000000000000000000 337672656 136009298 61336841 100927152 1000000000000000000 203690894 54818118 113051156 178777318 1000000000000000000 836451088 565539263 284130283 597297712 1000000000000000000 13606072 1807877 12114260 7280496 1000000000000000000 120972932 81275448 31358767 52274604 1000000000000000000 52883987 45166413 48295959 3433553 1000000000000000000 563386380 174682652 201728332 43413285 1000000000000000000 885672534 341189395 692880429 632584115 1000000000000000000 405885724 155431966 283396050 355995948 1000000000000000000 330673246 121615628 37317040 109466275 1000000000000000000 846166341 229864707 621130122 844221127 1000000000000000000 392994083 266358995 141714090 204397507 1000000000000000000 512331635 162153267 403967360 270405001 1000000000000000000 391130427 312264145 179094440 326097685 1000000000000000000 767802957 100253397 652336317 190412162 1000000000000000000 769829071 294336705 360943168 44220143 1000000000000000000 392916497 277197840 202799337 250497856 1000000000000000000 31343139 6587830 18649440 8777504 1000000000000000000 185375170 65822465 178047688 27440548 1000000000000000000 235374143 21273385 55581488 23456130 1000000000000000000 950532634 771959965 453462571 600624596 1000000000000000000 127422307 55516674 50333218 45420553 1000000000000000000 226288517 196742942 200550136 81224983 1000000000000000000 47365687 26553831 2630989 31936063 1000000000000000000 220260329 184036105 151023123 120047142 1000000000000000000 127445876 14992810 71281382 3812595 1000000000000000000 160353204 49540350 5405960 101119381 1000000000000000000 872763450 250430787 266809267 93219814 1000000000000000000 718703164 119740203 266374563 544747999 1000000000000000000 830215260 53872917 408980265 330804840 1000000000000000000 489152563 220119958 26762805 296458566 1000000000000000000 415298870 340399872 154071103 256014133 1000000000000000000 484771106 384346685 403068495 233466066 1000000000000000000 154737613 110306760 36315114 49960091 1000000000000000000 872055044 1237111 749313478 814082366 1000000000000000000 234810719 191372757 140858397 166395592 1000000000000000000 697962851 18934315 624953971 630420637 1000000000000000000 517241643 83163275 122936552 81308773 1000000000000000000 270151254 26380857 221458486 63796660 1000000000000000000 464774421 289662237 221475291 235112539 1000000000000000000 460163055 350354914 430143460 13779759 1000000000000000000 960228320 145702155 109558274 783851121 1000000000000000000 662868081 252740152 309089867 386611706 1000000000000000000 822272683 28563799 713839153 331061323 1000000000000000000 919017270 340637204 864481704 784359619 1000000000000000000 100992565 69688463 65088492 26508493 1000000000000000000 241592295 158253424 55099844 203849204 1000000000000000000 411258428 80072088 225542074 152459987 1000000000000000000 763989810 751093887 255117454 521094209 1000000000000000000 997604897 663952257 34914293 891704110 1000000000000000000 649740372 318508683 395761536 5251920 1000000000000000000 287146163 34358730 55149582 28110577 1000000000000000000 848881898 687142038 718684560 727970973 1000000000000000000 830116733 40640812 492706448 766962840 1000000000000000000 562868210 548190448 250388323 48386519 1000000000000000000 769250699 654910930 688388562 676553350 1000000000000000000 356705202 272128485 55049116 58842953 1000000000000000000 212753056 54312182 21078894 65859731 1000000000000000000 466640764 176957546 348095782 366618714 1000000000000000000 772571343 341261929 490306505 58935958 1000000000000000000 515525154 499884536 171537305 401673033 1000000000000000000 401178590 324039967 38736649 335791302 1000000000000000000 912445804 75948170 615551264 800490689 1000000000000000000 891670803 506256746 679916234 427231331 1000000000000000000 570821745 130023675 305202357 453359504 1000000000000000000 677786356 100253316 54749882 148492475 1000000000000000000 215507903 154167118 78128959 10190605 1000000000000000000 831569758 573978606 814835736 531108015 1000000000000000000 492936674 105404611 370794669 304575014 1000000000000000000 664762584 264372735 234492132 268463101 1000000000000000000 419776464 332152070 376444216 172794950 1000000000000000000 516835646 323976798 135977256 300241317 1000000000000000000 231757900 153904654 110772696 174691744 1000000000000000000 137962176 1712653 46112159 119081266 1000000000000000000 326249463 118156872 58585204 86777744 1000000000000000000 31653008 273750 7520846 18241886 1000000000000000000 134180075 122660735 110099638 53360199 1000000000000000000 348298388 132006278 310367078 116650660 1000000000000000000 727547484 4090661 706264622 154975822 1000000000000000000 66713569 3696094 24703383 48009584 1000000000000000000 16473092 5389576 13288544 7669714 1000000000000000000 717170218 285100291 428156214 178219206 1000000000000000000 260609840 163849849 258066073 185304856 1000000000000000000 866872357 604942430 376067258 284008769 1000000000000000000 74936352 74319298 56274553 71945799 1000000000000000000 188048338 87555082 79165403 99557028 1000000000000000000 483265101 121593797 92787254 476704705 1000000000000000000 302311656 24564895 125998300 63913056 1000000000000000000 129740342 60505255 61968413 115368371 1000000000000000000 148748699 125715384 14853850 50387354 1000000000000000000 978989102 302183887 943969754 37293951 1000000000000000000 195196020 161460884 150955049 82232666 1000000000000000000 887557783 313387633 292711515 557667952 1000000000000000000 879687832 344747077 334570709 534912232 1000000000000000000 509915543 141982186 386616096 223647024 1000000000000000000 628618203 460222952 531935438 571110480 1000000000000000000 693043155 99315161 57611873 8707656 1000000000000000000 267661775 159739919 35409946 94920933 1000000000000000000 922392867 563863785 234859663 782574770 1000000000000000000 884151296 116077164 343217338 738508194 1000000000000000000 109035829 64749711 55912230 36718010 1000000000000000000 858310105 820672484 58753590 374691491 1000000000000000000 599203741 187569809 66394564 336245204 1000000000000000000 51645704 37320366 32972478 19510538 1000000000000000000 846096657 46894455 132045144 781280921 1000000000000000000 228677980 155530995 105367297 104129779 1000000000000000000 648184705 48495996 108386468 68958989 1000000000000000000 512907296 503485791 490434193 473474818 1000000000000000000 854596416 431717735 326220698 575458627 1000000000000000000 251447632 182129770 167307362 242168808 1000000000000000000 122541649 58525410 13602828 16058636 1000000000000000000 969145558 202039393 99558612 178242287 1000000000000000000 452478920 215879927 306731501 76949703 1000000000000000000 729594857 119458138 609265553 480291458 1000000000000000000 16217720 15130620 6518014 3507640 1000000000000000000 49880963 19405626 2790825 41583836 1000000000000000000 907997940 733465835 303653883 746913482 1000000000000000000 859011227 134482533 849048632 404397256 1000000000000000000 370582923 310990980 333057159 129615658 1000000000000000000 472206361 320463320 350332166 266058642 1000000000000000000 682676977 564882667 454392512 93422690 1000000000000000000 812663616 730226177 67169266 749861981 1000000000000000000 48094770 37078074 31478833 7039350 1000000000000000000 776625594 489974233 717779790 764205956 1000000000000000000 946828284 200423671 558544678 318236572 1000000000000000000 344263390 203933305 173696812 97869277 1000000000000000000 8654549 1554438 2427350 7548232 1000000000000000000 451001033 373003887 250798335 44320701 1000000000000000000 836622600 47929742 209573770 427677026 1000000000000000000 973454668 315045709 5701312 176147275 1000000000000000000 817593747 154515384 424815743 692277186 1000000000000000000 97420096 95942044 58484652 13087374 1000000000000000000 735263165 355944754 378466176 207646888 1000000000000000000 980052826 419261177 334314652 903910807 1000000000000000000 14616502 12701433 13501150 5961267 1000000000000000000 893944098 707827289 307985867 785422500 1000000000000000000 200573135 174718676 194895624 131585911 1000000000000000000 625378376 600152524 495236911 327967457 1000000000000000000 568683861 564546299 490064588 390276824 1000000000000000000 958059122 490339896 311298690 495924721 1000000000000000000 997380486 40947376 440143428 559318739 1000000000000000000 967523654 879892640 873919494 900541796 1000000000000000000 522591629 18771645 305638858 308059228 1000000000000000000 271521006 258417519 75519345 69286668 1000000000000000000 136054722 99240594 29495033 67887215 1000000000000000000 989290129 553497971 981323666 814705170 1000000000000000000 571441673 231116012 368980038 362641759 1000000000000000000 58819356 26646492 22913637 37236467 1000000000000000000 768655400 331948857 649796154 648967105 1000000000000000000 668122168 417034998 326221040 281031368 1000000000000000000 183528472 62803596 42435601 123647943 1000000000000000000 244771800 41143980 219486493 152644612 1000000000000000000 361991633 37435809 265425527 86990573 1000000000000000000 411583772 148373613 264943266 58987357 1000000000000000000 731789004 669275947 265219349 488697177 1000000000000000000 387608748 100650546 278090879 71868603 1000000000000000000 889471128 748096505 528154710 115011472 1000000000000000000 159190607 121370529 156155738 38246921 1000000000000000000 558407131 147350338 328133569 553324566 1000000000000000000 608793172 433430468 553163316 309182103 1000000000000000000 267157318 166023457 72590260 208192441 1000000000000000000 786715906 358205122 375425217 147464628 1000000000000000000 569195449 204517961 295660672 42498680 1000000000000000000 197526225 172555091 86900090 47547429 1000000000000000000 953237001 871558268 852282132 28105097 1000000000000000000 31596042 30180442 9941696 7655230 1000000000000000000 983900460 453529790 794051230 191741120 1000000000000000000 780894328 757560151 361003060 724298650 1000000000000000000 951171801 736933768 565655484 168546907 1000000000000000000 887937075 57869494 815939051 432928880 1000000000000000000 206219809 73324526 83546890 34350116 1000000000000000000 986287569 958752339 741500433 758266363 1000000000000000000 617589074 446697276 377876087 589727924 1000000000000000000 444473131 213123678 85673114 355702944 1000000000000000000 97563151 40589344 35075403 10515035 1000000000000000000 259394148 50033530 93111001 158384831 1000000000000000000 832659028 107930645 407849913 610380016 1000000000000000000 44324757 2680181 21830412 32308231 1000000000000000000 417672081 184757152 229176300 78557181 1000000000000000000 384701537 42903567 21417498 304309360 1000000000000000000 812966219 176140938 387987075 163629720 1000000000000000000 519475982 503398319 435212951 59019919 1000000000000000000 174821059 95394437 60370676 60269069 1000000000000000000 569728428 56182140 454740827 87950468 1000000000000000000 919701461 669611203 830230280 324189822 1000000000000000000 95958374 33804172 56688842 89816494 1000000000000000000 867236214 267453405 619581840 737976676 1000000000000000000 127705348 88579857 12206228 24026785 1000000000000000000 5924767 4145399 837552 1412091 1000000000000000000 89617872 37263180 28094084 81022141 1000000000000000000 44160564 25763333 24284020 11274735 1000000000000000000 725688069 532216336 531510622 41321292 1000000000000000000 862572055 725453802 566893620 246989025 1000000000000000000 391934099 336435104 105957293 184155613 1000000000000000000 651533726 523288817 612338726 181524470 1000000000000000000 383168063 354027599 347079799 153778127 1000000000000000000 635469779 206020211 64904591 151464678 1000000000000000000 575047978 352627855 72556649 368472763 1000000000000000000 430806269 48117583 341783595 14451883 1000000000000000000 878117998 178958704 677962914 486758650 1000000000000000000 898959688 713417230 895960629 582732079 1000000000000000000 875821070 140092869 95984215 670999397 1000000000000000000 119992674 76324742 12156605 95760678 1000000000000000000 495170905 422779668 423016936 264108277 1000000000000000000 166238626 6151191 56189719 160255306 1000000000000000000 922696050 790826950 601958589 722304840 1000000000000000000 860974620 162024600 102732314 119403960 1000000000000000000 179532377 53590847 11501080 113235508 1000000000000000000 696570068 83896816 171880689 95993601 1000000000000000000 539082225 483785990 9003948 323950901 1000000000000000000 527321007 99950201 199274217 456660382 1000000000000000000 817908995 83775250 565843287 44542579 1000000000000000000 439996025 395352100 307193301 107225478 1000000000000000000 406342296 292070973 217546334 312021102 1000000000000000000 213980668 64654810 57336337 125861796 1000000000000000000 357106684 113170504 279411546 26141420 1000000000000000000 94169464 43031333 30318806 53203898 1000000000000000000 599861472 56227688 432639805 123549091 1000000000000000000 697818825 332402870 536299353 664658099 1000000000000000000 520234410 432663946 430644257 127445810 1000000000000000000 717881875 354774562 428430145 355239194 1000000000000000000 149508267 119229781 27765666 1464075 1000000000000000000 418062623 278233239 334832494 368729768 1000000000000000000 260558486 189880705 19727675 203525301 1000000000000000000 351810005 72445874 227206355 345988278 1000000000000000000 64814252 6688915 53967714 18078708 1000000000000000000 893932173 8564135 355878800 460817142 1000000000000000000 809558195 205671184 392901085 689923550 1000000000000000000 5891797 1819809 2712492 1194451 1000000000000000000 604544954 300719085 370718188 517243696 1000000000000000000 976474115 591312688 502713680 244860846 1000000000000000000 498104267 285356890 118456825 367877651 1000000000000000000 759890197 278259620 154068539 196762732 1000000000000000000 537220567 127563504 258770591 486405507 1000000000000000000 583025652 208150175 262527121 272426647 1000000000000000000 153147196 29511711 45227277 42006589 1000000000000000000 195337944 114837593 105873673 80315748 1000000000000000000 935045724 50140666 900811867 746803655 1000000000000000000 296881974 24413067 153239007 252063146 1000000000000000000 960027703 447388800 344342806 575573235 1000000000000000000 837246865 526483645 723370997 205107240 1000000000000000000 444456985 300670026 372529603 49931928 1000000000000000000 336198077 167678276 333082347 149425200 1000000000000000000 434813953 274742712 295700593 57245906 1000000000000000000 448114286 246187843 41031766 27744761 1000000000000000000 51427132 26276942 34983448 27542378 1000000000000000000 935128936 539220819 1458789 724344934 1000000000000000000 758837529 261265367 529784752 571493631 1000000000000000000 131020620 70472241 93899912 44820896 1000000000000000000 835173925 225329114 141557274 171225589 1000000000000000000 137103706 133600105 11171277 46801348 1000000000000000000 147653681 133573346 35681627 29761176 1000000000000000000 107700219 29405185 31776874 49659546 1000000000000000000 560441966 197697258 353670603 318306647 1000000000000000000 621273737 270112751 232544157 499000677 1000000000000000000 479635643 415787647 355129138 314275611 1000000000000000000 269387826 72269844 143872545 59076281 1000000000000000000 101669293 48874762 7273672 8165509 1000000000000000000 88260947 46087936 27846956 87244182 1000000000000000000 538096413 275030728 62549851 283146747 1000000000000000000 403705637 8905634 90712419 318728808 1000000000000000000 615904497 475597882 110154392 362250722 1000000000000000000 275598637 21296221 163394776 216687112 1000000000000000000 4437880 166014 1388365 2941852 1000000000000000000 570621128 74127262 257711648 144112514 1000000000000000000 377936109 11284892 258377921 316404132 1000000000000000000 617413237 280404473 561340286 40721235 1000000000000000000 26399159 14490406 26221465 14822101 1000000000000000000 164642234 104178112 3919541 135879510 1000000000000000000 22058221 15685988 4407162 15490012 1000000000000000000 830467812 651654839 258081936 133134031 1000000000000000000 568333151 341397168 58929050 90804489 1000000000000000000 909263847 150488869 15809752 846118868 1000000000000000000 684739295 275021696 498611526 51111304 1000000000000000000 899806188 220221123 815228818 249478908 1000000000000000000 146516363 41355001 60648863 134206694 1000000000000000000 624928917 230739686 612429173 386360192 1000000000000000000 182514085 36359367 144400696 180689683 1000000000000000000 589188172 390102651 472788977 386050681 1000000000000000000 514046752 57484069 223105719 474843708 1000000000000000000 377323851 245191482 4976249 222669201 1000000000000000000 887336034 681276143 221436077 203308416 1000000000000000000 698121692 288257933 63420639 680993065 1000000000000000000 406919327 43980436 46418101 327402063 1000000000000000000 660385593 196286216 169478367 175404042 1000000000000000000 944862181 169505401 1431765 779796305 1000000000000000000 685688332 396974427 137645255 372522753 1000000000000000000 212936271 62458460 97146614 59012931 1000000000000000000 983216499 207338688 961118713 322930575 1000000000000000000 159832347 140585589 98146413 123559522 1000000000000000000 146934478 121829269 100441310 46292477 1000000000000000000 37959716 8973732 11551255 10392296 1000000000000000000 658203335 215230791 396580540 212398012 1000000000000000000 66383084 2861701 51350079 44239849 1000000000000000000 588739402 28454897 186955134 230135673 1000000000000000000 989966355 815372919 379676954 461306740 1000000000000000000 167598552 62132392 160175263 113457998 1000000000000000000 914343598 829203618 91249639 250565357 1000000000000000000 627155444 119410386 215982154 499048153 1000000000000000000 242689249 100021162 68562188 235743832 1000000000000000000 906292864 620356654 223156728 683640948 1000000000000000000 251166487 162993901 106465374 91345694 1000000000000000000 591895829 413753909 279974677 390573452 1000000000000000000 436406913 341302374 424556769 172347728 1000000000000000000 780393297 338669099 498514224 57533877 1000000000000000000 829271171 627952002 128227609 283251787 1000000000000000000 893341515 45242662 703191201 606293197 1000000000000000000 482024459 404377785 322154068 271578247 1000000000000000000 42253579 2706345 10791648 24261527 1000000000000000000 497216085 446373624 425169210 314973599 1000000000000000000 311027801 183389359 50380228 143480155 1000000000000000000 230645513 157474699 42179386 137988521 1000000000000000000 982377362 317539821 398965452 898046749 1000000000000000000 646479753 523823068 534701639 476264316 1000000000000000000 28727832 16551872 27320546 9766034 1000000000000000000 791076488 756772357 304086909 336211316 1000000000000000000 914050165 575562156 53096538 378432534 1000000000000000000 505944371 498459869 248024908 459436467 1000000000000000000 981755147 613333708 644008694 260379270 1000000000000000000 91886180 68265447 65359590 1806897 1000000000000000000 707978088 202688120 377526572 29632879 1000000000000000000 622277161 333630987 424154118 107476028 1000000000000000000 354979156 231502578 222409574 25570651 1000000000000000000 352594766 80452004 37567859 29024341 1000000000000000000 340834056 56767371 187981551 186983076 1000000000000000000 16639753 14020331 6382132 12692357 1000000000000000000 440206628 387505728 150303408 236404818 1000000000000000000 20484946 15392267 3761499 10927580 1000000000000000000 20564358 10529734 9390180 7712511 1000000000000000000 589297067 358934148 202069651 94741335 1000000000000000000 903995183 541034165 528308231 16090465 1000000000000000000 917459166 749428562 278172619 777537691 1000000000000000000 787062453 394769753 514772630 287988709 1000000000000000000 415895685 274196180 406195582 314518680 1000000000000000000 808752088 129990239 455082202 453648006 1000000000000000000 312911377 253352715 273331055 281233677 1000000000000000000 605505840 477331880 191485842 442103860 1000000000000000000 160397499 153801892 74540487 29555817 1000000000000000000 394874055 127206981 228370789 164036644 1000000000000000000 154615863 74243096 19276555 146677130 1000000000000000000 69484428 68746890 55617347 54048612 1000000000000000000 836895228 391117245 105458432 150865917 1000000000000000000 82514119 32408849 39944851 9907628 1000000000000000000 338183358 273934448 312048782 274123053 1000000000000000000 980103853 591572727 4378795 852661744 1000000000000000000 254444333 131811018 37167334 86779253 1000000000000000000 796503275 74641039 696092859 557575319 1000000000000000000 119455471 90242979 14316900 15852435 1000000000000000000 223766901 25201096 128217933 30751019 1000000000000000000 400711386 213390625 316147906 368717052 1000000000000000000 519393909 288808541 512024759 109565597 1000000000000000000 77253130 15730354 73445355 63067110 1000000000000000000 721945173 619864140 618464020 481263117 1000000000000000000 389293388 117055669 273728350 112969826 1000000000000000000 471754678 226911382 468384557 385300441 1000000000000000000 481962430 82034091 467614263 421978431 1000000000000000000 608908385 198929718 44622955 496580264 1000000000000000000 207181940 63273531 169411886 88746235 1000000000000000000 296340370 50827179 88467118 217076886 1000000000000000000 849854068 831837590 51102139 547505994 1000000000000000000 201555383 187362727 69794260 137750108 1000000000000000000 426834374 186545270 182245314 297302050 1000000000000000000 471122546 7642490 235770589 431508589 1000000000000000000 678993361 398306552 158455624 396991893 1000000000000000000 841077081 497085770 565467100 235034161 1000000000000000000 920765084 215723127 282566545 425299951 1000000000000000000 589225585 474065709 368314835 584468936 1000000000000000000 174868529 83053498 95689571 17989072 1000000000000000000 596374252 464205407 519761518 530691740 1000000000000000000 39153812 24800353 22026924 30985437 1000000000000000000 945871368 646907318 85201626 13415232 1000000000000000000 44213471 11143786 4286268 36665377 1000000000000000000 932533851 377522682 478291113 237217166 1000000000000000000 633678413 495356255 241068259 445374031 1000000000000000000 714886176 627598910 263324388 8890520 1000000000000000000 978699501 201279677 930159328 813806914 1000000000000000000 50359599 46359005 14030213 40409715 1000000000000000000 501464969 24644702 111728479 486796455 1000000000000000000 75247191 56934503 53600374 37326791 1000000000000000000 229327700 220042410 52053355 38312513 1000000000000000000 214534579 2211194 107139003 167823437 1000000000000000000 108901269 44192719 105310560 57149541 1000000000000000000 905095713 159323870 866662009 562558683 1000000000000000000 134656654 20827724 39058215 120623693 1000000000000000000 624997917 435779673 57746903 512604852 1000000000000000000 713696147 559004741 602245141 558919774 1000000000000000000 787230416 238932010 701655485 176873151 1000000000000000000 935522129 20486802 242078970 65502858 1000000000000000000 109826361 46383039 12824628 54193767 1000000000000000000 456756146 68453676 253278257 399504850 1000000000000000000 62853170 28509771 1200798 15219447 1000000000000000000 951112180 392488076 739091624 507043892 1000000000000000000 83986742 7523354 15183739 44021629 1000000000000000000 64880093 60840845 22659294 14150962 1000000000000000000 401715600 12655237 75908680 296741078 1000000000000000000 848288230 176201195 85766215 614439322 1000000000000000000 10209233 4339034 5151762 10174027 1000000000000000000 798912186 762177891 613263063 414641099 1000000000000000000 101977443 97117806 41812481 66340716 1000000000000000000 528576629 231278033 136390244 459148371 1000000000000000000 371215114 32882376 364919729 174798035 1000000000000000000 424480415 154350860 307939151 110763615 1000000000000000000 863790001 525741717 59336766 517351674 1000000000000000000 436076378 32252041 120698900 52314228 1000000000000000000 606159743 336031359 106548563 210993895 1000000000000000000 818932742 96980131 679772994 276301095 1000000000000000000 456314497 42356525 145562098 147389788 1000000000000000000 295740743 27795109 225435685 24685547 1000000000000000000 876970829 227291584 677781682 495641634 1000000000000000000 212664709 123049366 180585170 158781962 1000000000000000000 995435096 525592382 513670849 56515241 1000000000000000000 694315170 332928137 426094808 159632307 1000000000000000000 697180566 145922148 103958636 63306352 1000000000000000000 317869147 168989322 181528801 164221756 1000000000000000000 951183753 817041440 110913576 172815143 1000000000000000000 548861491 345514508 488494182 255644853 1000000000000000000 39409397 1324492 8224304 2485704 1000000000000000000 619386155 395192906 178562069 92336213 1000000000000000000 632070155 531637147 588157931 425823216 1000000000000000000 207068349 106169177 168204721 157635136 1000000000000000000 762556012 468058433 279843161 589428492 1000000000000000000 734546406 185144783 34349283 55658575 1000000000000000000 292520110 147116940 120768932 202720581 1000000000000000000 829067196 564585954 688464629 525006562 1000000000000000000 721716349 98244239 304226681 562890975 1000000000000000000 993936433 911961034 194106556 583793682 1000000000000000000 633121815 190697317 22105443 64522822 1000000000000000000 614673953 287825467 452271618 6179012 1000000000000000000 42356447 491048 37473595 23830132 1000000000000000000 809566698 1775009 738757500 455428616 1000000000000000000 613091158 322072918 571269131 583889286 1000000000000000000 210414887 76033411 104689518 95915529 1000000000000000000 937064702 365537621 299537357 827434752 1000000000000000000 35467470 8024171 20196672 24279498 1000000000000000000 773188352 494590382 541662657 56274732 1000000000000000000 662763491 99538986 40794924 420221419 1000000000000000000 234227642 169955277 118402625 177587398 1000000000000000000 94659324 13818525 60699788 66155463 1000000000000000000 65801563 62822367 19877058 26439766 1000000000000000000 158720299 56569402 58061025 151115829 1000000000000000000 670351889 228480655 405986907 211997755 1000000000000000000 156529844 133009293 140223456 1139071 1000000000000000000 761842984 740679869 184315740 1622502 1000000000000000000 45457253 34644872 9818604 10935167 1000000000000000000 733131918 91940624 693252784 500470984 1000000000000000000 825113253 101438126 568150580 584658565 1000000000000000000 458993873 399471316 97878798 445332275 1000000000000000000 222992251 170920709 6206443 198154983 1000000000000000000 811586280 674547444 275528565 549979809 1000000000000000000 487036960 214382235 338461589 170474355 1000000000000000000 986892823 381890608 183823610 384195444 1000000000000000000 336844375 123252617 109084434 55243569 1000000000000000000 898006967 305782649 67988630 411941501 1000000000000000000 773682391 768003373 138449502 322869197 1000000000000000000 469949374 116322329 319347056 50227506 1000000000000000000 647181333 76882932 255692447 91786101 1000000000000000000 940569535 777007075 494366003 935920643 1000000000000000000 46998512 9724041 6128110 45653146 1000000000000000000 623265773 485838948 519375997 66380435 1000000000000000000 992914874 196646793 133249193 712631565 1000000000000000000 3228066 2214109 2482229 2726141 1000000000000000000 811165697 472542004 49512286 279345465 1000000000000000000 425548865 252844186 183545187 213559271 1000000000000000000 603662899 253687250 518332775 579237713 1000000000000000000 629255245 350533688 593452567 603582414 1000000000000000000 290831254 53148329 49658558 279074456 1000000000000000000 525876809 217384294 405732658 128616231 1000000000000000000 397398811 158283611 309112029 247575506 1000000000000000000 355659567 268961424 24165732 204684205 1000000000000000000 560378118 503361978 358489681 105633190 1000000000000000000 329215930 221287994 184365454 210921039 1000000000000000000 167165167 75619847 7445907 26948924 1000000000000000000 723034936 622374853 378329168 224828000 1000000000000000000 882664825 29625195 820534208 648234833 1000000000000000000 401479633 369930861 223631866 383189920 1000000000000000000 241799837 206787887 161434437 100485533 1000000000000000000 925135314 913453599 240502799 509083962 1000000000000000000 401305350 51572025 168776808 230683150 1000000000000000000 886957022 80973643 596871689 750387188 1000000000000000000 535614454 490978468 443538596 368813702 1000000000000000000 575884593 342665211 563935975 527795008 1000000000000000000 542308196 449157360 121573609 376108083 1000000000000000000 265453043 228030164 262139172 189136205 1000000000000000000 657772608 374565139 105244220 643281557 1000000000000000000 77459237 55694720 60258538 47530162 1000000000000000000 223287744 43433884 90758627 29191270 1000000000000000000 722564323 126010642 116358229 428395329 1000000000000000000 444390556 25484251 213703882 82339194 1000000000000000000 522455602 101466038 24442916 32280626 1000000000000000000 476000187 191177710 152568780 388660562 1000000000000000000 542193110 110319857 195001607 417669031 1000000000000000000 889682616 9322010 714769638 314585801 1000000000000000000 625886895 422955888 288449434 292542847 1000000000000000000 724403376 227546868 507365294 207326910 1000000000000000000 783459363 142500584 444691073 623949131 1000000000000000000 777172248 74616256 549182253 561288802 1000000000000000000 876971364 804053071 396618171 448979443 1000000000000000000 111420847 6143824 34748549 103433193 1000000000000000000 552161426 386126901 171809370 462536868 1000000000000000000 483998978 85438554 472421040 155745629 1000000000000000000 424715493 60044938 123912615 412095452 1000000000000000000 303062544 189546231 218607843 148378925 1000000000000000000 211340571 174396805 146990494 4186834 1000000000000000000 982633669 513437190 50004466 155348595 1000000000000000000 383551097 209404858 224507656 52866071 1000000000000000000 252905141 112570913 169186836 184758873 1000000000000000000 761884599 394176794 275230849 627759014 1000000000000000000 785493428 313462574 756532715 207434423 1000000000000000000 302158960 215390017 131794891 75868194 1000000000000000000 940637051 838512513 377172155 122800729 1000000000000000000 977484100 505727003 588989498 775266190 1000000000000000000 737423186 565600339 709483293 602727247 1000000000000000000 305892050 102613492 175590215 227190747 1000000000000000000 703797239 616140420 132072406 692068073 1000000000000000000 19673831 11712670 13458579 6478915 1000000000000000000 703929952 538963219 468103294 422635953 1000000000000000000 881693144 490473044 266248367 331076719 1000000000000000000 906497141 59740256 4834575 135067563 1000000000000000000 506310068 497742213 297775028 69469349 1000000000000000000 508219736 360294066 80424370 482520005 1000000000000000000 685086355 188606577 237149491 592279002 1000000000000000000 92187671 90490362 42835839 74336892 1000000000000000000 388870632 108613771 28702226 110819530 1000000000000000000 995885355 610317436 15672178 548048905 1000000000000000000 767961590 649903102 722783005 655484600 1000000000000000000 545607804 288413408 71582795 119173430 1000000000000000000 225847142 149017503 64997590 84772489 1000000000000000000 871858406 298232125 395871735 28924423 1000000000000000000 183923946 176354764 10229710 7944474 1000000000000000000 887515246 539192688 669044330 302668343 1000000000000000000 413828274 169793679 83827854 247365628 1000000000000000000 892028297 114194852 64257853 208874267 1000000000000000000 115090038 45420897 91662183 64988161 1000000000000000000 397139469 153944279 349808949 364529767 1000000000000000000 211363912 43103789 31863024 117373276 1000000000000000000 738780858 571926464 192898886 440899207 1000000000000000000 240547038 173749993 32100161 171253893 1000000000000000000 150597376 149115464 58790840 25054497 1000000000000000000 157339196 112728795 15855263 17591809 1000000000000000000 762990754 141595201 573312598 379030810 1000000000000000000 120197255 100485725 64079018 111267362 1000000000000000000 80277305 40179770 39580215 11500211 1000000000000000000 245179214 166468681 169069295 195488565 1000000000000000000 144489044 93028444 99114615 12887964 1000000000000000000 472425785 327654380 160522246 263331963 1000000000000000000 988857242 199941775 229205883 768993388 1000000000000000000 353959362 52116464 96276814 351192577 1000000000000000000 44055371 7255316 34140463 7891561 1000000000000000000 616022029 499032468 256278610 28885920 1000000000000000000 152373836 117240862 28783350 97574276 1000000000000000000 371209902 348999499 238467116 170370061 1000000000000000000 411732890 321293466 341930963 70087501 1000000000000000000 211518307 165147965 145456783 197045817 1000000000000000000 637532665 39194581 100237119 181617436 1000000000000000000 13057789 3018467 6620185 5783105 1000000000000000000 206929960 21053880 100230000 149294471 1000000000000000000 659466968 518510898 478244214 100296094 1000000000000000000 688855205 254616302 526191221 297396963 1000000000000000000 16043912 3815885 13352763 5184068 1000000000000000000 972225883 576995150 724229494 911993187 1000000000000000000 442643564 168998229 6290992 304440024 1000000000000000000 192985460 44131673 178214669 157157551 1000000000000000000 448652405 268174894 335315921 233461344 1000000000000000000 189533224 77703620 134725382 81007196 1000000000000000000 445207302 249159815 10294254 138165981 1000000000000000000 802767872 249870149 513690001 435076395 1000000000000000000 933488305 674661976 867482648 218071281 1000000000000000000 902686914 274864883 632413281 17152465 1000000000000000000 75637972 15831533 38663860 16222821 1000000000000000000 728419529 546833354 541526263 473292270 1000000000000000000 152047038 133102836 129948432 127871220 1000000000000000000 213914560 130599028 91263478 200099672 1000000000000000000 393383670 379472380 28824915 341077157 1000000000000000000 875882209 274153259 543695219 27799580 1000000000000000000 373528320 211157627 221538208 102202608 1000000000000000000 511373292 286478438 272049067 277936233 1000000000000000000 236778298 116901562 225160012 222397040 1000000000000000000 812811801 328801141 198349474 591130618 1000000000000000000 235241039 43036526 143272167 141633105 1000000000000000000 51353686 27946841 50787000 23641584 1000000000000000000 327916359 158731292 263372559 215985243 1000000000000000000 657238062 357307343 8678725 609282127 1000000000000000000 347857214 114952476 29806904 279259573 1000000000000000000 976582938 199486574 429695096 516247429 1000000000000000000 420629801 329192 110647517 96084881 1000000000000000000 546041439 482365226 352576617 440690965 1000000000000000000 429600106 94415915 95142745 27073740 1000000000000000000 521000647 228173967 493155151 384351249 1000000000000000000 553262351 480351621 107016859 522434999 1000000000000000000 233790277 14077958 190201992 209782502 1000000000000000000 297984311 2474464 289203018 81688059 1000000000000000000 391138791 387599965 117140871 216739948 1000000000000000000 127726444 86029592 1297016 27303405 1000000000000000000 209804002 186104310 154715540 146978198 1000000000000000000 572904534 25373020 436956015 31128528 1000000000000000000 111205488 34828854 90449114 86093089 1000000000000000000 67238793 11979188 30633937 62302527 1000000000000000000 57494784 53220778 38502567 27926456 1000000000000000000 197780767 166265635 114545418 40491921 1000000000000000000 948888985 496967065 714325418 627814967 1000000000000000000 381143788 32695645 123722577 351144690 1000000000000000000 884919528 532499876 149268812 432852779 1000000000000000000 666102758 37166393 493726976 420766459 1000000000000000000 98354723 48149364 60676896 62522103 1000000000000000000 718368910 584360431 203910590 151223973 1000000000000000000 651248696 88082304 12574099 104024757 1000000000000000000 445095427 377554214 155195463 300910241 1000000000000000000 464766758 77605639 225940462 82821592 1000000000000000000 99473785 63535444 11720952 76468030 1000000000000000000 652790040 418969567 569564373 219447004 1000000000000000000 85457436 21474848 27707785 17938933 1000000000000000000 5216923 3650499 4869700 1063091 1000000000000000000 633083906 194282396 356661675 109506273 1000000000000000000 213273237 462348 182907910 177753701 1000000000000000000 602121187 189517224 232396696 380946095 1000000000000000000 761224959 493593073 369333675 217893047 1000000000000000000 921002720 110397833 156485403 694552375 1000000000000000000 381641083 108189781 235644521 365066461 1000000000000000000 656184104 232809102 599546583 577651719 1000000000000000000 665943828 379614074 598358611 475521888 1000000000000000000 688101315 242194130 187118103 271329626 1000000000000000000 64297784 16299932 2397704 36458645 1000000000000000000 59255661 26526418 10887135 25853707 1000000000000000000 482524259 326900581 350231015 94444402 1000000000000000000 378229669 373437326 99563995 306764835 1000000000000000000 598502698 162587530 27716495 1545242 1000000000000000000 207450553 167921142 94281551 82154667 1000000000000000000 9645102 8637280 4222517 8923391 1000000000000000000 581396855 130662916 109261805 543758392 1000000000000000000 428303635 402777445 387771396 389295235 1000000000000000000 261239779 84019726 180728695 109205927 1000000000000000000 763497206 13835951 289495354 207818627 1000000000000000000 469237772 347456441 383953359 88841976 1000000000000000000 262813215 30248288 152285985 162115999 1000000000000000000 21571644 7951633 16801179 17773188 1000000000000000000 173275429 118179324 49736613 169089908 1000000000000000000 901205759 188701806 25263471 302831268 1000000000000000000 33562750 4693022 1583169 21869449 1000000000000000000 572654803 246617441 521557653 560573984 1000000000000000000 889981734 183211447 613701950 144602754 1000000000000000000 938920394 812266846 620510656 398495006 1000000000000000000 793956927 567393448 691447796 430923361 1000000000000000000 779008951 481199134 568939014 545357943 1000000000000000000 297847021 250633976 27813626 227908856 1000000000000000000 221307122 73998778 169666886 32168328 1000000000000000000 3493249 1794057 87755 162215 1000000000000000000 214079990 206592276 79974008 45104038 1000000000000000000 416407224 343698435 17722813 367549957 1000000000000000000 677171578 180885103 51498449 525780279 1000000000000000000 146523562 14734489 59424033 53391854 1000000000000000000 428566732 92196036 280709972 349838094 1000000000000000000 689202704 325040235 122665610 124693284 1000000000000000000 325581940 137418808 228366643 226173589 1000000000000000000 126519607 83974153 33488428 23093714 1000000000000000000 347917411 199314977 151199271 262319414 1000000000000000000 869866626 734496991 257823617 781555902 1000000000000000000 602684557 537832740 219285820 263989513 1000000000000000000 604141392 49174973 321092230 45562098 1000000000000000000 881062875 216064656 662510172 629001327 1000000000000000000 716688764 309345342 260530599 261072153 1000000000000000000 462034178 15683225 427836296 160646356 1000000000000000000 583944072 571795233 541267149 376983701 1000000000000000000 722023329 515134663 559699615 655492791 1000000000000000000 175307574 83302806 145988269 106170773 1000000000000000000 597241442 326942303 59539770 162640934 1000000000000000000 485129921 390800535 155192558 92451658 1000000000000000000 228327540 198177216 146515793 62357749 1000000000000000000 406827931 235275350 191993311 257232323 1000000000000000000 191792643 173191766 34048843 64288120 1000000000000000000 508085785 197665709 237258497 27256991 1000000000000000000 484878214 298433872 94378506 275026701 1000000000000000000 351214125 27281132 280859446 154822892 1000000000000000000 267725268 75070479 10032920 15404328 1000000000000000000 878250262 130815540 779427155 306472005 1000000000000000000 74694692 31085465 12561804 74403809 1000000000000000000 559550671 260686437 333073789 473472197 1000000000000000000 921214230 658055285 703454659 335522069 1000000000000000000 361349529 71299924 325323347 51432635 1000000000000000000 731005131 556344450 356810553 386849727 1000000000000000000 583449855 128443485 429871814 340529557 1000000000000000000 103917498 41229207 62233196 24044664 1000000000000000000 654260869 561291325 297253473 563033010 1000000000000000000 34082921 22742504 20146879 12763955 1000000000000000000 856095925 374712622 66494196 402932598 1000000000000000000 177836322 60128080 137267503 72053723 1000000000000000000 797722541 17578653 541477734 415893274 1000000000000000000 834614885 486720433 584319931 169320470 1000000000000000000 37844053 15937102 33132629 2240018 1000000000000000000 145477093 70281160 26098285 87892259 1000000000000000000 526897083 57181257 508035144 306655966 1000000000000000000 880878781 424243696 509190121 200471256 1000000000000000000 332539798 31867558 143568331 215624384 1000000000000000000 992872694 957300317 823576121 575043612 1000000000000000000 549486989 542218623 448660817 94523391 1000000000000000000 784893336 503423129 706612360 92258341 1000000000000000000 645755885 614815969 35842422 382140928 1000000000000000000 275968609 72390734 112504997 92586526 1000000000000000000 131638974 109987844 27985643 8442445 1000000000000000000 214249054 50586461 178585746 142252516 1000000000000000000 97696019 56125102 37679464 44882794 1000000000000000000 635117301 251634809 507908621 288652112 1000000000000000000 978566372 551073238 744471638 603158050 1000000000000000000 645680382 339853738 596087339 154155622 1000000000000000000 376313997 5915811 266548780 148949224 1000000000000000000 759560055 63175338 514717948 152415377 1000000000000000000 687561231 145303428 454787955 651642904 1000000000000000000 730810562 709433187 346127452 112306899 1000000000000000000 791461527 209161175 494992653 525189799 1000000000000000000 871653708 425807733 85108668 353628791 1000000000000000000 674959073 555397764 331272749 269339254 1000000000000000000 987492257 80527976 852073641 106224902 1000000000000000000 193459485 96399217 6007164 82009535 1000000000000000000 129971954 2559909 4353989 120809724 1000000000000000000 807148212 773517926 442597321 805725857 1000000000000000000 3301535 524452 3116141 857464 1000000000000000000 382671145 136704794 328513660 141003449 1000000000000000000 630299398 116325395 74225993 141876965 1000000000000000000 968693507 696949157 65770256 287403033 1000000000000000000 467284980 226788812 190869373 399602768 1000000000000000000 252478650 81078418 37152132 163295946 1000000000000000000 251599702 140614776 152998919 79180586 1000000000000000000 735440678 467638492 98507457 126788179 1000000000000000000 601942079 566007436 137688150 163055165 1000000000000000000 786179874 313529570 205860377 499377362 1000000000000000000 446872783 251059409 185378920 293780185 1000000000000000000 554276177 444260669 315787951 295967718 1000000000000000000 742001528 202295414 428268572 109692231 1000000000000000000 832733489 786700007 48914598 255575821 1000000000000000000 293298860 201255401 260789262 118453913 1000000000000000000 333031664 283237266 56912059 178743353 1000000000000000000 235284956 214391474 140894142 155396703 1000000000000000000 456535887 171749173 42254239 256217549 1000000000000000000 899882318 207169903 365233363 544840568 1000000000000000000 321926608 221458720 97531845 307998244 1000000000000000000 158447023 116727670 79213777 99858814 1000000000000000000 406458589 384048148 136508183 176393862 1000000000000000000 427328098 243127559 324895771 243898962 1000000000000000000 245455753 175601103 120697536 85319682 1000000000000000000 474148404 354617525 162576951 336968345 1000000000000000000 232817998 11455478 202135470 220061332 1000000000000000000 326746316 20879657 224495536 243511848 1000000000000000000 174532367 116456686 136444392 112635883 1000000000000000000 851691465 433681508 767522148 11131152 1000000000000000000 873147293 805742317 229511227 22356154 1000000000000000000 188887392 27933241 90363680 138961646 1000000000000000000 691975981 270332410 670437004 438715767 1000000000000000000 307518683 275933476 53944400 127062219 1000000000000000000 583505996 286062697 220785379 145395366 1000000000000000000 481989879 408258251 393189978 157485623 1000000000000000000 998294584 277458517 433858745 642386301 1000000000000000000 603878384 505395904 173376104 54455329 1000000000000000000 92249363 7888589 65080084 52563390 1000000000000000000 904406164 608615707 127690993 203702385 1000000000000000000 182971104 172072345 78430142 73143005 1000000000000000000 22039602 4758815 12042400 7629609 1000000000000000000 901842132 528878172 105069715 790341109 1000000000000000000 340002958 156745670 273143104 129541298 1000000000000000000 242798397 140913083 106576831 77223730 1000000000000000000 691298895 5423816 421873585 44729622 1000000000000000000 985573924 932898667 693187218 420895358 1000000000000000000 141867084 55582637 99784167 45476731 1000000000000000000 491032708 132879514 104418935 446689400 1000000000000000000 193994967 83952446 49175752 49886005 1000000000000000000 753142454 333010797 408695332 510497170 1000000000000000000 569225056 459120725 193657577 221151572 1000000000000000000 115166296 14933606 24900235 2786106 1000000000000000000 621413870 331766331 487412007 22804649 1000000000000000000 828855190 348555906 805496866 315199648 1000000000000000000 408047002 373665678 228085989 382265043 1000000000000000000 64994794 58421502 32280303 38181084 1000000000000000000 417488770 189516466 391821632 34592881 1000000000000000000 825603001 763901110 352500883 551349139 1000000000000000000 265145827 9075745 52675654 174312556 1000000000000000000 789454420 264867108 573165642 685368092 1000000000000000000 990863736 109802063 435498360 949245020 1000000000000000000 636484957 37589515 539101228 293700704 1000000000000000000 564331522 185266399 23269714 81478689 1000000000000000000 562405633 451282855 287239006 493095211 1000000000000000000 18345449 17793979 1093683 10184936 1000000000000000000 802054972 627780490 686547350 468481291 1000000000000000000 103507968 93620062 49318610 28119693 1000000000000000000 680760122 266992639 508815704 633305273 1000000000000000000 248505152 67408592 245225471 147897838 1000000000000000000 760683378 375708398 248005882 569492430 1000000000000000000 181102650 66296042 82990016 132163913 1000000000000000000 402967940 113013932 78245309 247976904 1000000000000000000 324338691 75085822 102843757 309658310 1000000000000000000 277963698 184871402 39815567 140740685 1000000000000000000 79996196 3851019 67708289 42204629 1000000000000000000 680632758 356120309 575944157 574435223 1000000000000000000 794552745 447393069 131463964 437587746 1000000000000000000 415642055 44653034 321125810 257083678 1000000000000000000 591373946 334626441 187962807 390479879 1000000000000000000 419617192 246990141 316679559 316829499 1000000000000000000 694124122 152860065 394235047 377494178 1000000000000000000 288628511 231712486 124288336 80203970 1000000000000000000 767602503 172702785 329107324 310499424 1000000000000000000 294950669 69192210 251440174 119644267 1000000000000000000 940370103 171322651 669279226 367311692 1000000000000000000 293579921 41892974 175179190 249985359 1000000000000000000 353587901 10960756 248011043 269993811 1000000000000000000 551372392 473371734 170358486 48914266 1000000000000000000 937075445 551560109 310746911 11533059 1000000000000000000 906199917 820776785 178334973 565044765 1000000000000000000 468186883 335932025 75316160 146967317 1000000000000000000 802990481 721004252 511701870 790874000 1000000000000000000 166348239 124668851 56014706 117203753 1000000000000000000 156098454 43717287 38284712 111054501 1000000000000000000 888497311 34653089 478493422 653495324 1000000000000000000 188511354 114087601 173115516 58259663 1000000000000000000 3611204 2137406 964638 2876120 1000000000000000000 775269849 451331882 185325651 424679549 1000000000000000000 634528678 70304891 452817242 70601596 1000000000000000000 421318586 46142401 60443620 252754520 1000000000000000000 622043174 423038649 513553982 505492550 1000000000000000000 750191221 67687071 693675772 745523983 1000000000000000000 745208340 620761605 379236690 590491374 1000000000000000000 947077678 651445946 12363256 441358256 1000000000000000000 274749720 155571449 83347315 87448675 1000000000000000000 914070534 637168971 372247025 314941577 1000000000000000000 825132991 423687199 535673870 362980422 1000000000000000000 662794766 273971038 477484430 318480515 1000000000000000000 867281301 96504547 796916842 72938256 1000000000000000000 828251615 545614382 457298098 766078191 1000000000000000000 586864550 218530277 338484286 271033378 1000000000000000000 28171791 6207124 14204007 1843903 1000000000000000000 769208968 465810796 24225570 306779713 1000000000000000000 538343672 222050979 473382206 108802861 1000000000000000000 653251888 457083990 549572157 281288648 1000000000000000000 636694262 129628821 460229476 81938942 1000000000000000000 830248351 446278909 697864507 316306837 1000000000000000000 908525700 669902253 790976467 888612350 1000000000000000000 118084047 91180438 94908253 107715571 1000000000000000000 636227879 106301050 515695273 434922916 1000000000000000000 486796873 331147353 146412290 371282413 1000000000000000000 86047119 57252441 37985098 52780866 1000000000000000000 519884994 505814597 426451597 58681927 1000000000000000000 529497868 473325390 398145560 210416961 1000000000000000000 71317241 60744565 29845482 31145963 1000000000000000000 997711628 206820686 989205849 196363865 1000000000000000000 758791094 61853787 216965372 683576047 1000000000000000000 724057842 580731628 602804098 370251310 1000000000000000000 682723299 56827777 159975661 659933138 1000000000000000000 600896806 6678704 84123906 347910504 1000000000000000000 20752081 7018984 13480423 6449712 1000000000000000000 110897709 16756786 41358350 100865056 1000000000000000000 157890817 21041134 67622356 119198059 1000000000000000000 201805155 29071256 22257596 108899694 1000000000000000000 920455914 772722824 23221464 911422843 1000000000000000000 628686672 115958185 528409339 80817692 1000000000000000000 235302838 210206382 15950063 81269325 1000000000000000000 644416334 136583499 605805939 269622062 1000000000000000000 998573456 795720038 611481130 295706276 1000000000000000000 796131546 309508105 250826476 4528164 1000000000000000000 940867450 371346213 737626004 677366005 1000000000000000000 147043378 87210778 100846790 32780706 1000000000000000000 36156351 21552931 8499980 33543778 1000000000000000000 952626977 626242374 111063240 410856385 1000000000000000000 370790809 296847588 280342542 301294582 1000000000000000000 930807565 648615700 702133589 69796481 1000000000000000000 257647610 32363035 134102452 173086884 1000000000000000000 316674648 158735465 60907350 294710876 1000000000000000000 842945550 674258394 831968330 419986140 1000000000000000000 183125870 43746334 82257871 33024697 1000000000000000000 304965785 82135380 37464539 263405065 1000000000000000000 672744520 581968012 300282708 565901663 1000000000000000000 875529339 759996335 676490495 741419223 1000000000000000000 798672955 683816892 567166153 276177922 1000000000000000000 705215190 230195995 482036857 696597969 1000000000000000000 674164380 252271137 205111296 245138604 1000000000000000000 221627391 104700087 206942726 41672746 1000000000000000000 584897957 375378225 107692242 532939676 1000000000000000000 711079061 689490719 517202958 394297844 1000000000000000000 995518234 634511050 513320108 632118219 1000000000000000000 169586026 169582513 93366155 66196692 1000000000000000000 377738019 86271712 612937 42628590 1000000000000000000 308870601 59462264 62278367 175848062 1000000000000000000 587584248 435830093 446131115 166585860 1000000000000000000 976803416 276175703 572258148 104984703 1000000000000000000 508490532 61690929 100664240 192252831 1000000000000000000 419397747 319668356 127185072 370413869 1000000000000000000 25578494 6243766 13552784 12782315 1000000000000000000 349966552 117777466 143943442 65128535 1000000000000000000 192556875 180924227 68955572 111444603 1000000000000000000 405157431 284769872 137861578 60079072 1000000000000000000 711893919 460069736 513631234 177525716 1000000000000000000 446675305 262640770 65941026 318051751 1000000000000000000 906426428 44784429 419178085 733343610 1000000000000000000 4787118 2854363 1428510 3059616 1000000000000000000 785653223 329667496 56353542 338195287 1000000000000000000 917152700 604979475 213139323 357980243 1000000000000000000 400694192 291679421 342003541 206225094 1000000000000000000 530946210 309478627 391794748 358495857 1000000000000000000 170049499 87806100 159154346 109532132 1000000000000000000 712617238 6044352 537934971 608776053 1000000000000000000 909008730 126071702 691613541 663875386 1000000000000000000 780449311 278994272 187023079 575928335 1000000000000000000 564124366 439758548 112871719 423529259 1000000000000000000 857071570 508287279 771640956 107025497 1000000000000000000 379545620 246236402 211284391 288975880 1000000000000000000 291702571 186384346 50607867 271920284 1000000000000000000 899369399 639350817 634908497 673601986 1000000000000000000 770001135 11819234 642432895 174444449 1000000000000000000 529296081 123138781 251105492 17856841 1000000000000000000 541408071 53215482 270853240 18596430 1000000000000000000 996236733 147044968 16851377 304712601 1000000000000000000 272600615 115654532 251301584 162599003 1000000000000000000 469618099 175355674 74222701 287953707 1000000000000000000 19684176 9275944 894241 5765646 1000000000000000000 554228762 142628114 193630691 474022990 1000000000000000000 633123597 491597858 280926346 58710202 1000000000000000000 273948192 148738076 164918258 16019918 1000000000000000000 577849463 228566793 368840979 264860553 1000000000000000000 844554361 646435565 760203027 627347284 1000000000000000000 142009706 128375340 20817012 77976929 1000000000000000000 435316458 252193551 146801592 64565059 1000000000000000000 32209153 31044976 16961506 1170226 1000000000000000000 167457756 45680918 90260824 50985792 1000000000000000000 248753085 64126715 167050063 137114482 1000000000000000000 859136889 554265869 750097956 322919823 1000000000000000000 9280231 3991267 5419129 8138099 1000000000000000000 141432098 49178698 46819456 121375157 1000000000000000000 863927926 797735334 558851431 334945616 1000000000000000000 93864622 10158824 12491372 31969479 1000000000000000000 669656555 255304346 235760727 393136368 1000000000000000000 120248109 82945735 39620634 53070339 1000000000000000000 342300808 171460002 300957526 309924047 1000000000000000000 214571906 88503689 165744634 120802951 1000000000000000000 275146019 64313569 117043027 177005751 1000000000000000000 431670708 363688965 150305909 122981720 1000000000000000000 341014803 307824694 82672511 268352168 1000000000000000000 792977323 725185690 375896990 31006647 1000000000000000000 874716601 299691159 651889244 222221074 1000000000000000000 78453584 50699876 24884478 20804314 1000000000000000000 848141010 367235629 385228944 521487607 1000000000000000000 649935936 65115193 400538130 263125468 1000000000000000000 394350238 106358717 298099984 2399626 1000000000000000000 669609163 603458202 199731637 275714723 1000000000000000000 2204617 744143 1275619 1316064 1000000000000000000 614532812 89840027 500594570 554252978 1000000000000000000 991804543 911783938 695260513 843431123 1000000000000000000 23759243 3488601 16994107 5483126 1000000000000000000 460075562 192453456 349265694 138736094 1000000000000000000 906796416 810661411 377650000 494680857 1000000000000000000 276742092 231471745 205154883 59103605 1000000000000000000 902107011 355830967 761633173 263223347 1000000000000000000 483000605 288350729 109098747 270456605 1000000000000000000 488363136 59828211 317384064 397933343 1000000000000000000 639471858 169795195 394461697 249851765 1000000000000000000 118522446 117641779 86001980 64744997 1000000000000000000 708604219 124583154 117993134 576643189 1000000000000000000 935040307 759922901 471099560 218007117 1000000000000000000 507059937 478921837 163906419 20246248 1000000000000000000 337115476 314887784 215207218 214333720 1000000000000000000 194015258 44379439 93353636 106012639 1000000000000000000 818630004 651326619 394671683 519482479 1000000000000000000 411607136 209965560 277164195 161647585 1000000000000000000 242040490 117311177 203026843 54893463 1000000000000000000 817292255 779323481 230891267 95364977 1000000000000000000 828948771 646241649 101607124 816997829 1000000000000000000 118618059 46050472 41274863 106968967 1000000000000000000 560213716 338801582 343585310 483567672 1000000000000000000 652461856 299487395 477879567 295697007 1000000000000000000 905220121 820370124 758672710 629542322 1000000000000000000 700259271 51974273 424918192 506902138 1000000000000000000 926851079 744062126 668977071 707790637 1000000000000000000 170040991 139763021 117795254 67385776 1000000000000000000 14436361 6654031 6985751 8194911 1000000000000000000 830954051 606166017 815709338 169651854 1000000000000000000 692263523 634951656 159691043 665341518 1000000000000000000 961611173 495092002 267905637 222121309 1000000000000000000 948222568 704759360 269870749 84492166 1000000000000000000 574901198 327485745 97202193 559569915 1000000000000000000 348703989 227447085 322759798 2824333 1000000000000000000 400092635 67220745 20519887 205223668 1000000000000000000 592750079 113339222 551790852 456702824 1000000000000000000 569006908 247212464 196848327 73993578 1000000000000000000 189191799 184885324 50717214 121770027 1000000000000000000 274266228 235280377 128959363 11293567 1000000000000000000 772681823 387896450 648550017 323466897 1000000000000000000 114598822 16818604 80307849 107373098 1000000000000000000 785584021 38941223 509470535 539222958 1000000000000000000 407844164 125525920 150535088 306204575 1000000000000000000 854639747 243895091 175207014 678436581 1000000000000000000 135142287 113236297 5251201 74342618 1000000000000000000 2086269 1395824 127239 902475 1000000000000000000 825942342 598148598 678684884 258407006 1000000000000000000 180175794 131527983 142741730 33439628 1000000000000000000 684702393 81778068 671897829 187913893 1000000000000000000 776616129 521730020 714936008 480188359 1000000000000000000 198523476 158121970 103954520 100978665 1000000000000000000 444926873 118653387 228689462 221265353 1000000000000000000 975411916 911672465 676482795 617676828 1000000000000000000 235865355 39749851 32061829 202512318 1000000000000000000 452177259 97448954 267326716 118702353 1000000000000000000 109648745 20613740 91213835 40820221 1000000000000000000 84159881 42912933 73110773 13228924 1000000000000000000 407907551 219102614 306545852 81635152 1000000000000000000 147084590 34074184 5413534 72665915 1000000000000000000 939005098 407314697 294171168 792236862 1000000000000000000 682645406 456206195 330447826 266568133 1000000000000000000 437109740 380896017 249117210 149768441 1000000000000000000 550251713 246645089 124162859 211865896 1000000000000000000 474761566 113025338 81060748 121285553 1000000000000000000 731422738 384544320 29650333 244547853 1000000000000000000 215242224 47221926 149333300 57636795 1000000000000000000 612375977 233496112 470746070 70178994 1000000000000000000 816604130 324130310 651734989 664580917 1000000000000000000 914018992 47591603 812213915 734833882 1000000000000000000 313994978 195852642 157635907 288237872 1000000000000000000 114974682 21288083 48436766 97916271 1000000000000000000 331413083 44044115 169359912 201954040 1000000000000000000 527727715 458212204 141948219 494551540 1000000000000000000 237920374 160226001 61772262 215640874 1000000000000000000 517068187 200741203 456950073 360378982 1000000000000000000 376896110 108956188 95282915 191879766 1000000000000000000 705887759 552849294 358630342 379610254 1000000000000000000 21682048 3439727 20787254 4992899 1000000000000000000 873584776 103743916 297308229 462646515 1000000000000000000 662956971 388516786 603643649 181269193 1000000000000000000 608624731 303891352 502789775 377608863 1000000000000000000 366027560 134545008 143918702 361574193 1000000000000000000 590513377 573060344 539838245 279496258 1000000000000000000 885440369 437902304 433517732 462516154 1000000000000000000 536714352 69611330 115456913 419843398 1000000000000000000 830116613 554076700 394091012 335542283 1000000000000000000 165978781 5362308 27332241 47820289 1000000000000000000 332709972 88506025 159478660 103226354 1000000000000000000 992880252 947504004 605732199 838761255 1000000000000000000 32094852 9613001 29424421 22752674 1000000000000000000 247783262 29718097 225687022 183971986 1000000000000000000 808569593 54454301 562350992 763111256 1000000000000000000 691489197 501005557 5715971 69591861 1000000000000000000 402731201 339062213 247978771 307131069 1000000000000000000 797283502 609172645 109157919 208122647 1000000000000000000 752264358 372771665 73753887 580305107 1000000000000000000 386138524 54927038 172133084 362613563 1000000000000000000 777628329 96394014 696672903 242743243 1000000000000000000 17384216 3809302 7292295 15757434 1000000000000000000 562906925 138552017 119437747 463700521 1000000000000000000 376792568 176819222 354102283 191576647 1000000000000000000 686050268 404905405 571618380 197471534 1000000000000000000 735774090 604017409 126758208 602657631 1000000000000000000 387719503 5040756 54834289 221570909 1000000000000000000 155054101 153567510 134374120 33441526 1000000000000000000 647360947 34560637 386384959 334484850 1000000000000000000 999294069 843956768 770841679 176461921 1000000000000000000 400949473 140217769 61451716 176140562 1000000000000000000 386870473 342615286 134904610 295571816 1000000000000000000 786717373 320582636 515347550 652316883 1000000000000000000 820085922 223115613 629593931 815986706 1000000000000000000 630698043 250191826 328898511 14164239 1000000000000000000 488885140 48718996 335476327 417736358 1000000000000000000 491076609 54849699 441833330 238096313 1000000000000000000 442284554 152160879 193868402 373855366 1000000000000000000 347142987 103672638 52663077 234328735 1000000000000000000 774122097 235947971 140959709 719978042 1000000000000000000 125805675 56574404 91547846 82847394 1000000000000000000 791491481 633418853 166329646 184544115 1000000000000000000 264118835 80822247 106337011 20441551 1000000000000000000 683776334 618701978 454631470 218301764 1000000000000000000 32632854 26797566 10041208 18026641 1000000000000000000 679235610 528395264 430164802 392009412 1000000000000000000 395317785 77776598 89263454 29933527 1000000000000000000 827028106 539708831 65833313 155136089 1000000000000000000 801617338 221874372 511985223 82167937 1000000000000000000 523834727 324269142 178870255 383079450 1000000000000000000 773540388 62563022 35087058 736732812 1000000000000000000 449712173 430729483 33920546 188160975 1000000000000000000 215423559 28188950 188616974 164519136 1000000000000000000 342278412 207454069 90230878 33059208 1000000000000000000 525352298 147513117 193916794 363222644 1000000000000000000 506933516 398805157 477085852 158950540 1000000000000000000 668287198 601030371 230223731 310987209 1000000000000000000 818923395 424320961 303759943 117967289 1000000000000000000 552475752 496245843 401643504 114420453 1000000000000000000 82142788 54782409 30657370 65838302 1000000000000000000 468155943 314686233 85913413 189251184 1000000000000000000 959503762 672023725 902392726 346077868 1000000000000000000 809823387 247043671 10181351 494456650 1000000000000000000 677304688 670886981 511298300 482037872 1000000000000000000 787665759 273560225 241828119 325074617 1000000000000000000 320363595 49131852 42229740 113885019 1000000000000000000 261621936 139790594 131258183 66064866 1000000000000000000 881594298 9497854 842140764 842894686 1000000000000000000 623362746 546886370 579913123 24378234 1000000000000000000 643135263 368888792 159247944 108118275 1000000000000000000 668621814 111041062 347526986 264222853 1000000000000000000 312757008 12104976 89782809 189214536 1000000000000000000 737380055 290653917 296799871 518532745 1000000000000000000 367034830 141086526 32572725 181243442 1000000000000000000 964417330 616566215 856669496 850197293 1000000000000000000 843769783 199919207 310206284 217740451 1000000000000000000 461261426 295575797 24037127 18005530 1000000000000000000 267781920 76927838 14898040 24435397 1000000000000000000 208239770 99094181 35729663 87123444 1000000000000000000 223213506 186393069 43520412 171394378 1000000000000000000 110602635 4239299 92525674 100086074 1000000000000000000 991760820 251837605 985163742 882235591 1000000000000000000 145963196 118574071 43330333 20772980 1000000000000000000 892602050 758927177 846291416 120879438 1000000000000000000 180511689 115716123 2369714 61825278 1000000000000000000 978003112 459575713 187642729 696899745 1000000000000000000 469697971 438807932 176434849 423535726 1000000000000000000 86571707 4512284 53794892 78923396 1000000000000000000 323261414 171531940 175733304 247952135 1000000000000000000 859620767 34863203 769255202 343651286 1000000000000000000 325858591 20463032 71490949 145577172 1000000000000000000 973731627 622044888 193911014 46133245 1000000000000000000 630222266 443988751 157748326 457197763 1000000000000000000 423576578 266686239 281885108 161665967 1000000000000000000 470424876 441246647 86087335 44972391 1000000000000000000 648437744 521064581 246742921 343651322 1000000000000000000 844855870 127526666 141024068 436102431 1000000000000000000 127209574 43814664 10711780 53722280 1000000000000000000 927514532 865253369 183998388 153362844 1000000000000000000 589215209 297558428 562547219 217625489 1000000000000000000 750446584 708011050 394353345 562133458 1000000000000000000 600787274 579762723 469186224 287276981 1000000000000000000 610920497 487245139 226093188 274611257 1000000000000000000 485840421 463724259 323530993 50998123 1000000000000000000 612486611 61877778 364848453 364451482 1000000000000000000 207768283 25771441 191813343 160968591 1000000000000000000 400334663 97164936 129983980 180237677 1000000000000000000 450676380 103069559 4943925 403583754 1000000000000000000 346238148 57838347 90780827 292966367 1000000000000000000 191857720 15614005 127957110 29955601 1000000000000000000 414979946 383771101 308441194 354977136 1000000000000000000 301998293 263368531 217282371 52252031 1000000000000000000 147312464 83619719 39073581 90617538 1000000000000000000 309462502 117039691 179530265 281040666 1000000000000000000 423387958 299296040 347899343 108886755 1000000000000000000 454341332 140146496 141749534 154536922 1000000000000000000 870999501 644381737 295109794 212113546 1000000000000000000 961662228 83584965 63272396 20429450 1000000000000000000 966619113 185322150 25702486 545680173 1000000000000000000 460576522 289817425 282425146 353931739 1000000000000000000 883743816 164725593 882852121 853641681 1000000000000000000 525742002 148977374 31452214 463990723 1000000000000000000 669657352 481153474 666651108 622727652 1000000000000000000 737566609 87853781 42609304 166706293 1000000000000000000 972782425 579149653 162816718 394420167 1000000000000000000 840946548 533834104 488034620 643499507 1000000000000000000 878053394 831472352 701541152 700355237 1000000000000000000 625009272 153352737 294749402 438319927 1000000000000000000 270716608 229382070 149276141 234292680 1000000000000000000 104666350 33418535 64673233 43064223 1000000000000000000 192022658 76664226 103988226 25553623 1000000000000000000 508514855 272415064 454616834 163166344 1000000000000000000 54129069 28682794 42269133 46981416 1000000000000000000 989318191 140796394 237998560 302713931 1000000000000000000 221525009 203851317 158015517 20281050 1000000000000000000 930577140 489138138 462329970 219290945 1000000000000000000 862299077 344737971 619386648 764444994 1000000000000000000 140134849 32209237 72874065 89170870 1000000000000000000 651409944 67465361 376720600 533915977 1000000000000000000 501812218 134426788 250205938 412710508 1000000000000000000 636061942 311097874 183664130 255177756 1000000000000000000 327288077 180435523 37712231 22488043 1000000000000000000 570443210 516331099 225051981 555218432 1000000000000000000 552270072 162612687 136222978 125279250 1000000000000000000 702997313 426203764 472641695 155167143 1000000000000000000 635328464 163563284 348783987 143436429 1000000000000000000 164973218 11444487 117413528 52348926 1000000000000000000 463668803 189467647 20671421 411494443 1000000000000000000 625398757 67529070 534680677 431491237 1000000000000000000 842094808 603663565 313755043 663358896 1000000000000000000 387460978 261176379 229515881 183463845 1000000000000000000 989521885 318370509 479024451 545618555 1000000000000000000 752720562 261689159 228720109 59813462 1000000000000000000 907362850 674429020 473609732 403178155 1000000000000000000 398013214 379963944 254534797 334409710 1000000000000000000 915141128 188485762 159144114 196795560 1000000000000000000 593906187 593682977 183365554 310761616 1000000000000000000 992010463 575777414 279313165 43600868 1000000000000000000 295072427 109211697 223298559 138870949 1000000000000000000 443268243 99140301 75521726 63657964 1000000000000000000 236942887 175013508 7638131 196937551 1000000000000000000 980206813 183455414 319392954 629591721 1000000000000000000 927454186 430412815 218133005 242221263 1000000000000000000 938908250 602003208 600535788 187158327 1000000000000000000 646485052 299238638 199243298 22818310 1000000000000000000 784409687 359748093 25226996 153187344 1000000000000000000 83885971 26533337 10875559 23211625 1000000000000000000 992271450 139200526 130291290 100404664 1000000000000000000 599272983 395872082 296578148 40951873 1000000000000000000 580008937 569787750 54378278 321946967 1000000000000000000 252106487 230009147 153696137 24148006 1000000000000000000 31617822 24674010 23318523 16156469 1000000000000000000 490193005 340797983 392397517 382784021 1000000000000000000 427156798 30482279 70475824 104654346 1000000000000000000 532697720 50882172 108853255 161349332 1000000000000000000 672770118 463351579 489256834 52877982 1000000000000000000 237368744 118214526 89825069 47263945 1000000000000000000 835621091 309248216 45454086 238465517 1000000000000000000 872111789 371472640 717991255 826687932 1000000000000000000 452036952 11833045 44831305 198595330 1000000000000000000 610034771 375938634 412079532 491231337 1000000000000000000 48742829 12480859 12074329 22631126 1000000000000000000 765567306 735417241 642389257 391123908 1000000000000000000 247179576 232504218 186412345 235328987 1000000000000000000 368968836 190193734 78377518 282506474 1000000000000000000 243663202 23417935 107266219 3040155 1000000000000000000 298466671 84768929 77819655 197635378 1000000000000000000 880891317 17101274 28508339 692630254 1000000000000000000 934607813 923372250 37396313 506155645 1000000000000000000 684031188 133344422 483385316 427775936 1000000000000000000 45876781 563506 9691569 17602079 1000000000000000000 331627512 172289181 111128601 297389287 1000000000000000000 973690966 394617529 360717775 308724825 1000000000000000000 182489174 140148277 126138254 176301705 1000000000000000000 78632475 33659272 35454975 8500110 1000000000000000000 213590655 208221162 52357736 192563238 1000000000000000000 884156717 650869923 776463804 141183955 1000000000000000000 794460377 731192014 512977341 38293042 1000000000000000000 786305781 759985544 319146873 184818309 1000000000000000000 181539510 98626241 174406170 9022430 1000000000000000000 99390738 43280327 12336135 76782887 1000000000000000000 948711137 617350391 529321033 23453010 1000000000000000000 185862424 71877877 175550808 106523692 1000000000000000000 937738320 68556053 310690651 127925646 1000000000000000000 435348517 397828348 82418324 104657132 1000000000000000000 868036738 650707560 85746484 641099891 1000000000000000000 722693967 499505893 323787126 214292055 1000000000000000000 604796254 383215491 139616733 516363039 1000000000000000000 381256747 1198812 135408509 94705139 1000000000000000000 904738601 774480290 399281844 289145327 1000000000000000000 996925493 928542688 357396430 311339923 1000000000000000000 383808169 3476252 41487517 210797576 1000000000000000000 223162439 16952814 211649386 8971333 1000000000000000000 813503340 375767232 386981761 427560283 1000000000000000000 487936282 119632110 288813842 323809037 1000000000000000000 467534868 82542481 445867869 181944827 1000000000000000000 710348864 557903793 602890053 500834848 1000000000000000000 725433760 261798691 717868519 209897759 1000000000000000000 420975464 184715788 395379669 76961881 1000000000000000000 625376599 597723855 498925770 191843279 1000000000000000000 224159687 25453431 96397019 107673870 1000000000000000000 221726796 20269514 36867196 80161570 1000000000000000000 65629582 36166507 6593250 42812631 1000000000000000000 619943874 10268159 323744130 239818471 1000000000000000000 23348142 10059638 11401535 4768134 1000000000000000000 841356950 398661 503021618 163297622 1000000000000000000 96535249 12686383 34765857 46633438 1000000000000000000 382698786 297402929 362645251 204081121 1000000000000000000 782666347 632070914 431356028 779704646 1000000000000000000 858079134 336950988 274641818 143073911 1000000000000000000 222855293 195985739 95604549 138326167 1000000000000000000 560801249 322137388 217394359 240103143 1000000000000000000 483620833 335021905 245823336 16314405 1000000000000000000 311567807 119682194 30836870 33470042 1000000000000000000 84286036 50955024 33947994 27703011 1000000000000000000 90172173 35788459 20784391 32413216 1000000000000000000 859665276 151720943 281733040 208333602 1000000000000000000 567594585 84346804 214783572 34721134 1000000000000000000 929316809 35819477 925754413 62788525 1000000000000000000 438976229 9593303 287475030 77046195 1000000000000000000 457525880 90094038 317179988 66555415 1000000000000000000 863493693 109613110 169810428 588575291 1000000000000000000 877494051 392481537 319873697 206859240 1000000000000000000 558780762 35787620 167621067 393886249 1000000000000000000 690850216 670557383 687214783 103652482 1000000000000000000 133778221 48622462 114551725 28599751 1000000000000000000 525416722 163683449 93725946 184120128 1000000000000000000 646507888 637876988 45685277 601932864 1000000000000000000 851035642 257216795 314125822 645238373 1000000000000000000 458125803 247523455 269224789 143180078 1000000000000000000 765323161 468829617 331640496 531867333 1000000000000000000 538460241 434752216 339671701 12948091 1000000000000000000 71728931 30770765 43155039 61503552 1000000000000000000 770188982 59859867 28390144 422140941 1000000000000000000 664116698 197797657 142088874 48791941 1000000000000000000 555401507 343448843 13210186 258824512 1000000000000000000 377502322 376954832 132364717 279678391 1000000000000000000 655116763 115482852 445980641 600297367 1000000000000000000 975244847 769895902 499525680 213716192 1000000000000000000 198232060 131161738 152411365 58581051 1000000000000000000 666874656 579203385 537340009 198011551 1000000000000000000 507920185 475818495 79747382 103320493 1000000000000000000 997489831 774377203 221576203 640441649 1000000000000000000 140969027 105330455 86463323 583702 1000000000000000000 386000305 9955537 115462180 291514862 1000000000000000000 817499333 347898511 645127226 395207405 1000000000000000000 305303611 154041359 296517586 205335212 1000000000000000000 991926243 441513088 45006779 249418112 1000000000000000000 126095779 22728654 42146038 88364361 1000000000000000000 578772817 215114735 19344920 79268693 1000000000000000000 342088351 36257753 74771833 9293434 1000000000000000000 176576799 169328573 28916898 144271105 1000000000000000000 780289930 189429783 67847272 259439961 1000000000000000000 247326804 148355885 173634625 52347045 1000000000000000000 208444220 21121200 21417948 169621404 1000000000000000000 143301834 61384890 34481552 12170583 1000000000000000000 338373921 106279077 248027675 327673696 1000000000000000000 260687432 114371708 201670343 61180678 1000000000000000000 768872990 148476809 393536671 565025111 1000000000000000000 108314713 94158911 76389657 52784349 1000000000000000000 873174334 701634812 150237475 626679597 1000000000000000000 166883883 63149565 45191855 46618891 1000000000000000000 617284064 268461508 560648985 326680928 1000000000000000000 745474264 571195304 550527365 121399908 1000000000000000000 345329926 58744125 116017135 28988552 1000000000000000000 93686001 33979525 86297362 58819072 1000000000000000000 761892315 160334516 425979525 594484305 1000000000000000000 76563133 53512855 8117563 25271905 1000000000000000000 676137359 559316877 255018722 579645261 1000000000000000000 535047296 417469657 23258127 320780596 1000000000000000000 666260992 634845422 263795419 115651424 1000000000000000000 248476817 118662941 126308827 195472866 1000000000000000000 317079765 282669057 89945712 296254940 1000000000000000000 228700161 76052162 12291726 51254618 1000000000000000000 213179134 113966830 193225098 159547262 1000000000000000000 291513024 222354656 115728509 106614891 1000000000000000000 760388775 310169321 358723400 13305781 1000000000000000000 909890208 196963114 750000266 73808900 1000000000000000000 360848958 244515290 203269847 6237463 1000000000000000000 864591035 308040864 121027788 67213790 1000000000000000000 675831584 247464369 115817887 462928644 1000000000000000000 25018610 20734494 15853020 21897556 1000000000000000000 694086902 23136827 663097454 434823513 1000000000000000000 245537829 61626239 113401071 103598984 1000000000000000000 867483997 237862092 569446414 40598241 1000000000000000000 539945002 47721640 120714616 150281832 1000000000000000000 967049306 526054909 574434493 457500779 1000000000000000000 445908451 276087668 114071271 413637415 1000000000000000000 824660301 316538948 767659814 321910661 1000000000000000000 464625455 419371018 92117504 429736708 1000000000000000000 499774134 364484028 438116739 281666816 1000000000000000000 17254123 16988435 6067211 15655123 1000000000000000000 564485599 257711264 55807348 140006059 1000000000000000000 40250114 1873710 16071893 32216751 1000000000000000000 687294805 595285390 521960932 147209856 1000000000000000000 356741771 151666773 193839389 201468814 1000000000000000000 490365112 208068137 142688282 101958199 1000000000000000000 996728928 24869945 125741672 616778830 1000000000000000000 378492192 215580246 55085342 163008887 1000000000000000000 375483758 370463647 35206306 66659342 1000000000000000000 732796551 232873870 486870927 507624000 1000000000000000000 208710644 163507952 88579510 153198857 1000000000000000000 291072864 36252265 109853728 264146758 1000000000000000000 151252276 113080619 83418616 17407216 1000000000000000000 822918226 543633059 796728053 578773627 1000000000000000000 42885336 32396413 36031831 10481371 1000000000000000000 38268447 14030931 8391870 6827401 1000000000000000000 974904804 755638089 15435427 617217265 1000000000000000000 876221089 565909120 567069705 265440115 1000000000000000000 133343077 31241891 1804297 41035364 1000000000000000000 844664925 694889445 248207232 173168623 1000000000000000000 226600549 80076749 34998605 132717959 1000000000000000000 178649642 70955781 115316522 132960369 1000000000000000000 612070576 29654389 475220856 7250808 1000000000000000000 925782065 154276601 580946036 76548012 1000000000000000000 333979852 313877143 90316862 42807376 1000000000000000000 204718918 177396603 197188762 168560305 1000000000000000000 509486894 289257868 227813904 162380621 1000000000000000000 975342911 112434784 956314009 767986752 1000000000000000000 834932428 766946803 249723882 480988189 1000000000000000000 161613159 89071819 133556190 24953329 1000000000000000000 720967862 175309925 113640259 395127527 1000000000000000000 583439836 74164800 512022581 363803105 1000000000000000000 336509987 44749706 93405666 247701251 1000000000000000000 978677320 493366387 299657425 955539594 1000000000000000000 747788290 738332004 463368017 73583033 1000000000000000000 63307360 29875444 29586349 47184263 1000000000000000000 356726209 294704153 213718467 347844170 1000000000000000000 939690379 684381820 310906186 330634619 1000000000000000000 974530003 331864605 952968373 184357188 1000000000000000000 9796174 5697791 3447006 727815 1000000000000000000 548169021 404473264 452884108 342248807 1000000000000000000 202665093 109252207 87919472 164148572 1000000000000000000 308296910 78327862 256782428 25575266 1000000000000000000 145406470 26112190 49708331 13428589 1000000000000000000 148092498 59157359 137276306 80696322 1000000000000000000 559791536 106000083 313729788 333907137 1000000000000000000 569513351 326058682 25485915 252071525 1000000000000000000 886347733 16769989 235238820 640832093 1000000000000000000 199582344 127688782 159727133 47824836 1000000000000000000 340378796 227979646 221153350 226512244 1000000000000000000 14333267 1637683 3003526 4940455 1000000000000000000 643173477 175984230 630147967 434321805 1000000000000000000 314972421 275024687 191766354 193793063 1000000000000000000 27074927 1155995 1181974 502864 1000000000000000000 729680117 214111623 409375361 667352736 1000000000000000000 599347501 412263543 529111395 220660137 1000000000000000000 478548660 306383489 468368221 267946128 1000000000000000000 956263341 309182220 771174913 371216885 1000000000000000000 885734467 308186423 369093264 436361630 1000000000000000000 531251133 113668254 236808189 79528949 1000000000000000000 230960945 33847099 10580094 114962566 1000000000000000000 169623727 153424518 96317432 99450308 1000000000000000000 946216892 384327435 284399672 715998990 1000000000000000000 178320483 151816646 145315060 35221848 1000000000000000000 652529432 462580976 301039198 119888531 1000000000000000000 454770737 407989421 435140537 36331819 1000000000000000000 283788183 63649749 49760530 60146553 1000000000000000000 138590565 33552096 139084 130581095 1000000000000000000 990523278 137411984 837494779 780064160 1000000000000000000 421959125 75893922 333514534 414922150 1000000000000000000 724789375 620050632 524358278 9259047 1000000000000000000 287615923 257337303 95640684 263814237 1000000000000000000 551675561 265709152 48947860 149266173 1000000000000000000 406948239 133639275 219074795 41906524 1000000000000000000 536049306 224082531 283537155 469359237 1000000000000000000 339486237 310251934 42580463 47339926 1000000000000000000 238670615 202838865 128240043 172968614 1000000000000000000 188866135 152339809 92747839 10162663 1000000000000000000 772125539 404793858 601375826 404383933 1000000000000000000 724595725 511522280 299012377 640777877 1000000000000000000 645132852 134895407 253450608 349403351 1000000000000000000 960220567 816439199 919783002 858306816 1000000000000000000 885586956 12163715 487898276 511049934 1000000000000000000 13623543 5729581 9629955 8500048 1000000000000000000 819863495 381409851 534077396 225480554 1000000000000000000 275856695 110845105 172130360 51220169 1000000000000000000 248168727 14845323 213091997 67971199 1000000000000000000 857463318 827894775 437519428 295124223 1000000000000000000 54218561 49389624 15403519 30732970 1000000000000000000 585979201 424576972 387942594 455458664 1000000000000000000 1442046 814732 335595 1106529 1000000000000000000 685935758 289217820 371860289 450551738 1000000000000000000 872392980 348991616 673646717 284135338 1000000000000000000 238879738 138682772 192903333 213908327 1000000000000000000 937477709 861388985 314364768 779238878 1000000000000000000 382208132 312783370 220103788 283034504 1000000000000000000 253170694 45265807 209727262 161688440 1000000000000000000 939888598 451111853 704638080 923451072 1000000000000000000 617723869 432795010 47574223 168827846 1000000000000000000 494930014 320473695 365428189 94242749 1000000000000000000 926106017 68585585 15056657 185236107 1000000000000000000 128114704 86369980 70165486 89632929 1000000000000000000 768630570 262793963 526522950 343647665 1000000000000000000 573876883 422268457 297754782 383637615 1000000000000000000 897468986 495109168 341657190 204936541 1000000000000000000 979082280 931948198 677799148 540603646 1000000000000000000 498839050 30583708 312552867 484439528 1000000000000000000 140149305 39457570 83808231 3108184 1000000000000000000 120275092 95963038 510076 5158876 1000000000000000000 633499908 396294115 458831457 168652977 1000000000000000000 210834597 68026283 80932405 36659737 1000000000000000000 941057704 96742856 159245000 155658559 1000000000000000000 488372960 455961692 294692078 467043149 1000000000000000000 466239017 31728681 134347819 389265113 1000000000000000000 747409585 197014789 452502390 186151017 1000000000000000000 258122850 15226564 13141581 211490029 1000000000000000000 427357436 414101338 167108541 105329342 1000000000000000000 919311675 49071291 319311533 856745316 1000000000000000000 721870682 412626921 216761976 289415904 1000000000000000000 579611782 577333587 439187124 49480467 1000000000000000000 374423725 114146671 60975544 46375339 1000000000000000000 158238389 91925353 33893472 152768235 1000000000000000000 12335739 3489108 7042955 4253456 1000000000000000000 864729727 341007913 638192307 250796682 1000000000000000000 176767729 123070589 26622382 17310243 1000000000000000000 991498508 926655996 207729205 889995629 1000000000000000000 671673072 376391287 38440222 485098101 1000000000000000000 701123642 587935200 81855117 400086411 1000000000000000000 363848688 107182490 59253515 280623288 1000000000000000000 937860816 92986695 436912745 446225797 1000000000000000000 278238962 33773017 41158619 205721050 1000000000000000000 917706818 785548387 191011386 789141068 1000000000000000000 972734251 110639245 625644090 179518662 1000000000000000000 683569565 464273540 529870327 214238242 1000000000000000000 226353672 203913508 85150024 44424136 1000000000000000000 587503123 586092587 156877080 10350798 1000000000000000000 561377259 399380509 523437637 265650236 1000000000000000000 279047307 39863519 237518172 148410457 1000000000000000000 992935927 904901250 572400348 624224610 1000000000000000000 374961544 351302309 264613605 306884993 1000000000000000000 72711627 28464348 68043335 35324107 1000000000000000000 970093473 690107611 111338745 140848428 1000000000000000000 983502865 584273573 511435685 723699294 1000000000000000000 891680487 394105984 311407076 286500992 1000000000000000000 909186078 234599193 742759630 266116930 1000000000000000000 420536091 242407862 278984952 351193846 1000000000000000000 720650868 630041223 186601071 257869746 1000000000000000000 496621735 280351214 344027929 164433376 1000000000000000000 884235832 406666465 199006441 650461024 1000000000000000000 848424440 510630465 628383144 180321058 1000000000000000000 894970420 174686336 190316680 554404246 1000000000000000000 442601055 59067810 282029389 424769734 1000000000000000000 266548676 205043151 174331391 123397651 1000000000000000000 898334486 129281979 310906227 512420819 1000000000000000000 829162333 725562981 108760210 275045528 1000000000000000000 402497376 336465958 272804095 65262847 1000000000000000000 801288328 338407365 498427365 192129714 1000000000000000000 467345511 433569277 430573916 92346759 1000000000000000000 592015903 572511017 67363909 225512543 1000000000000000000 814873109 788286767 178574079 505903770 1000000000000000000 501324044 457513857 145252403 469743673 1000000000000000000 675716913 193685112 102357297 117870752 1000000000000000000 962407340 93197041 20617122 324233546 1000000000000000000 556440680 99971619 241802326 313534942 1000000000000000000 48251718 15602211 15738681 19199724 1000000000000000000 562518025 209635932 23046259 52169679 1000000000000000000 217303978 102577421 153174460 214736086 1000000000000000000 929580839 763528972 914499004 898577366 1000000000000000000 487950073 351373416 55876873 265148417 1000000000000000000 858006966 820410624 769893810 575808937 1000000000000000000 986384179 635704206 738204540 610362380 1000000000000000000 299495339 10435478 132794468 21391307 1000000000000000000 73401251 21187606 54033811 211938 1000000000000000000 656584356 458662420 308405241 32122588 1000000000000000000 729989693 267926825 252495542 195533762 1000000000000000000 173408239 79666111 153389076 13460232 1000000000000000000 879652337 849469041 194129971 353495180 1000000000000000000 423445775 192953542 144273868 453738 1000000000000000000 45002787 40464486 42615111 32953243 1000000000000000000 243470997 217002302 165257790 156544577 1000000000000000000 302074883 132574270 50532639 149560007 1000000000000000000 442484026 141753406 22364457 27967175 1000000000000000000 408237246 22529784 347790072 221628229 1000000000000000000 155008754 87576464 19114577 126775295 1000000000000000000 320815963 33635890 159622547 153236384 1000000000000000000 710218890 587710477 231587463 264889998 1000000000000000000 979017704 545913034 522293941 296719425 1000000000000000000 773830628 101313763 144211646 531715868 1000000000000000000 443626537 427420287 198823463 89302437 1000000000000000000 178608737 26422999 78054578 94671744 1000000000000000000 690404507 323639745 184526807 240596597 1000000000000000000 305654058 285041563 10750623 203622169 1000000000000000000 252636287 46199254 121897716 63904080 1000000000000000000 743947619 13759720 568021094 428953924 1000000000000000000 281963455 202626448 71601828 158660097 1000000000000000000 100411726 73595703 93109574 39032329 1000000000000000000 79066724 47224326 57634336 77895207 1000000000000000000 955214041 744614222 913911699 389824656 1000000000000000000 514577705 294444509 419843347 449852543 1000000000000000000 636342706 241646006 390440679 616797244 1000000000000000000 322245055 319950429 216268054 251364479 1000000000000000000 427307599 173543483 278288685 144777433 1000000000000000000 568675499 383764928 538415518 274683824 1000000000000000000 675477447 458460371 520566426 102976722 1000000000000000000 410888421 75702316 315104429 187556063 1000000000000000000 82886003 33561223 44166818 6386954 1000000000000000000 194265178 16784394 133070835 84874504 1000000000000000000 218364440 97697368 94752699 197618994 1000000000000000000 103524845 43615842 78621071 2928874 1000000000000000000 828763534 406543839 155975766 474853980 1000000000000000000 707586449 648865679 15457973 616210086 1000000000000000000 34306739 31485688 11569175 10763438 1000000000000000000 189313619 21720185 183039106 40715626 1000000000000000000 350562467 192721583 26584773 203894183 1000000000000000000 719175465 448745917 429224008 214510656 1000000000000000000 517705691 365816459 442114877 318305644 1000000000000000000 129611741 48396671 118813560 76147850 1000000000000000000 447894617 315511966 58787583 167491804 1000000000000000000 954888469 666759153 25090253 799242136 1000000000000000000 67885506 30026272 25591797 39441203 1000000000000000000 589855052 369748895 534840336 554980714 1000000000000000000 791257906 226769442 713308640 366662355 1000000000000000000 429274718 24328692 390473445 23303479 1000000000000000000 435286622 41430000 404219216 384827232 1000000000000000000 929809546 525981227 400357801 684794656 1000000000000000000 829358430 663587613 799064430 697493552 1000000000000000000 468335027 408850624 435007696 227518936 1000000000000000000 639988920 78646803 198708002 376002157 1000000000000000000 998450139 429850596 447867381 786635877 1000000000000000000 388906692 303526649 280000452 216574201 1000000000000000000 738267938 148872722 510668398 76436259 1000000000000000000 137970270 50766929 23438420 98641310 1000000000000000000 990632973 22131072 667661815 947438962 1000000000000000000 691985786 138162711 494648118 61609149 1000000000000000000 916978801 110793962 547681243 280022264 1000000000000000000 627870041 455780907 30519223 90567031 1000000000000000000 264578881 194350697 14858774 155956628 1000000000000000000 868400423 528380255 222672827 541286425 1000000000000000000 482427223 47225698 170432719 163849673 1000000000000000000 205507293 201777734 150243122 118760488 1000000000000000000 836360481 824744635 623077015 435291419 1000000000000000000 106664728 101072454 47205403 49389642 1000000000000000000 109332529 49914124 63062695 12741454 1000000000000000000 29361719 24963943 26019824 9604188 1000000000000000000 262889975 113419647 244397634 70042134 1000000000000000000 746986503 193395928 521033054 516896510 1000000000000000000 420565180 338394292 90431782 59329772 1000000000000000000 851545390 800731577 469130303 299106723 1000000000000000000 440601473 170969883 296057121 301355753 1000000000000000000 186810112 33333818 152756443 84319729 1000000000000000000 156830267 10266934 116068429 1362956 1000000000000000000 554743230 282554189 138913300 486984501 1000000000000000000 651417090 412576607 401678200 648944385 1000000000000000000 347813286 39955 80194623 55107580 1000000000000000000 331534499 30354137 73661758 112950160 1000000000000000000 428506101 272539355 156463425 275299636 1000000000000000000 426933595 163148382 114538778 112423599 1000000000000000000 19166296 5270498 5482613 955862 1000000000000000000 349069562 336262080 281235261 113173070 1000000000000000000 293514910 61905377 114718430 266726548 1000000000000000000 609565817 521086427 142692121 211132618 1000000000000000000 42133595 31515639 13055959 4954385 1000000000000000000 494136228 315097763 3587536 7238481 1000000000000000000 221643703 23449238 166551646 106205171 1000000000000000000 903173088 242329014 518730304 898654075 1000000000000000000 576082526 167365961 198455673 179613479 1000000000000000000 698778246 83127673 76130187 297123408 1000000000000000000 870184878 21215878 830016863 313063531 1000000000000000000 535067199 321747684 28022664 382006332 1000000000000000000 503981812 30525394 171435124 82512734 1000000000000000000 947603436 219693979 570847827 226319051 1000000000000000000 582613207 548230404 159601560 20730492 1000000000000000000 204060703 171566669 134736070 106563553 1000000000000000000 480786193 170758813 298393132 381582746 1000000000000000000 633044384 75329985 587693805 443060446 1000000000000000000 488301857 47397524 421716673 98787519 1000000000000000000 890374409 382433530 64177857 38915629 1000000000000000000 587652626 474731698 298628061 140370563 1000000000000000000 839526276 291977683 472288136 591051580 1000000000000000000 569674569 82666501 391921968 521296642 1000000000000000000 791042150 224441705 673550978 324961092 1000000000000000000 427301943 377880973 80423931 329398897 1000000000000000000 564297577 121076114 79212987 250446682 1000000000000000000 155999360 56128097 155455171 42589546 1000000000000000000 550813623 54887806 470430580 217562803 1000000000000000000 482463128 113385549 413187079 225952076 1000000000000000000 759497129 428222908 522275432 399046645 1000000000000000000 894703101 330323196 391361648 666578272 1000000000000000000 773148208 585295825 532246716 760829808 1000000000000000000 26313792 21610616 15909248 19243108 1000000000000000000 455505065 136764805 1548403 34488929 1000000000000000000 55257675 8447968 20525916 20289440 1000000000000000000 451046362 340011879 119448536 259879771 1000000000000000000 417050735 213984462 371166809 387253835 1000000000000000000 37447678 22722276 13718444 25740178 1000000000000000000 86116165 8792262 57958095 74323754 1000000000000000000 594942092 256358126 201137157 83413681 1000000000000000000 274672243 239695500 141675708 102325247 1000000000000000000 913875520 571511718 594332364 494649849 1000000000000000000 88429864 47931055 67541282 7738878 1000000000000000000 271826285 243461734 84496969 143473429 1000000000000000000 393134146 177928540 278500263 375561814 1000000000000000000 636966779 500273646 220170500 570603093 1000000000000000000 876210861 800700715 28659720 292311915 1000000000000000000 515462946 468166458 327847477 500657672 1000000000000000000 176046563 131723190 106950347 73745044 1000000000000000000 172808928 147261881 109561177 169678988 1000000000000000000 770226233 281887482 155907565 38623173 1000000000000000000 706658009 691081337 360301744 466435009 1000000000000000000 256238045 181542550 18004295 22706164 1000000000000000000 872093325 6383774 441683347 584834818 1000000000000000000 448926950 314397919 375338860 429629755 1000000000000000000 164190003 69743605 44423755 9906059 1000000000000000000 223069650 76306771 201942725 155653203 1000000000000000000 786470715 90531340 521666381 245975376 1000000000000000000 859076557 227428169 278438289 68930844 1000000000000000000 118292026 111173840 20948207 12014993 1000000000000000000 375618691 282533119 73662577 34893672 1000000000000000000 38474038 34655619 19433522 2161074 1000000000000000000 230561561 58450886 205602906 191786640 1000000000000000000 440987216 113680168 166841864 193717073 1000000000000000000 831432733 524227116 82501173 146920933 1000000000000000000 366362330 359847612 39067598 281790722 1000000000000000000 947458878 811049013 862955490 55782538 1000000000000000000 87713070 20178316 19810815 68791486 1000000000000000000 40217795 13995033 3641096 27744220 1000000000000000000 962924878 914532770 233256510 743262642 1000000000000000000 781302074 503969772 123572172 561127034 1000000000000000000 813311360 48343946 460312142 102535715 1000000000000000000 21964576 1936400 20516235 2563613 1000000000000000000 692649151 301494507 619486620 346419239 1000000000000000000 750408442 423214166 196550435 481711716 1000000000000000000 794254867 606897140 120509333 606975883 1000000000000000000 483143404 197223098 127956813 187114605 1000000000000000000 213587708 96702107 84742953 115492494 1000000000000000000 881647139 423335780 390424837 315962554 1000000000000000000 806830266 637981809 433317978 182657008 1000000000000000000 695989447 431639590 1462512 295244401 1000000000000000000 940750664 261296997 654247184 589837062 1000000000000000000 153797882 128192457 98175650 45522806 1000000000000000000 348508059 268205656 133431391 286493061 1000000000000000000 15463704 878520 13732040 4637551 1000000000000000000 51166702 33020240 22989588 11163507 1000000000000000000 731544602 470651426 246165696 671292474 1000000000000000000 784155799 616816729 460955168 280869981 1000000000000000000 245946850 78960459 100943983 50165963 1000000000000000000 150600428 119351888 18924567 70358760 1000000000000000000 86092379 51647130 26029967 55169488 1000000000000000000 400190128 354001829 128731723 85330819 1000000000000000000 269948357 138189933 131782371 255311535 1000000000000000000 881918961 658388229 811939427 838133879 1000000000000000000 121648752 58977805 102648969 55559768 1000000000000000000 549821192 450157179 546817512 397833757 1000000000000000000 464322715 306800510 221650768 331512480 1000000000000000000 201907572 32424383 142748215 128569606 1000000000000000000 20333867 14861802 16320159 13173003 1000000000000000000 429116719 255642022 320885637 230933239 1000000000000000000 167630854 111585017 81243079 77244476 1000000000000000000 280350415 171223434 68905623 278104123 1000000000000000000 823263196 644012378 441331230 699150452 1000000000000000000 780211363 543202549 97451592 691988985 1000000000000000000 520695907 112969728 190560072 228670621 1000000000000000000 165877645 146332807 149467471 146024289 1000000000000000000 903978921 849271151 901076193 131072076 1000000000000000000 648777868 160866054 272640881 126834254 1000000000000000000 200306458 145615473 51985475 40156199 1000000000000000000 38829394 14533374 6486516 4369311 1000000000000000000 26005548 25478927 17911933 16366391 1000000000000000000 399083048 134557236 35700880 13674619 1000000000000000000 352194298 87498486 85176354 47664036 1000000000000000000 70343050 5241283 20224958 69760428 1000000000000000000 938965144 410615067 757964816 96256538 1000000000000000000 802407689 230148993 357492649 751902023 1000000000000000000 790274827 482184613 622693081 556060508 1000000000000000000 515511711 287884923 402693210 369418683 1000000000000000000 179752307 54706130 90036643 166984486 1000000000000000000 832836294 687893387 255930050 384912151 1000000000000000000 117818781 83034657 92737414 113513107 1000000000000000000 535515446 138056124 384622222 170145211 1000000000000000000 910678714 572266818 739502501 709593060 1000000000000000000 506887871 47062670 483746255 431302919 1000000000000000000 880443023 306560434 839899417 388135966 1000000000000000000 183103231 137976130 10910187 64567638 1000000000000000000 956728049 131271095 535946110 675061812 1000000000000000000 427971206 23062876 170167604 422213986 1000000000000000000 816654533 26381457 564560220 260112966 1000000000000000000 762624013 342194835 656335394 534341751 1000000000000000000 43727610 13143128 17149216 11532435 1000000000000000000 621866848 150452911 39530468 461877578 1000000000000000000 752019513 447282131 346153306 178099085 1000000000000000000 670881901 500220695 652815255 395998183 1000000000000000000 657370407 503193064 69827491 81281647 1000000000000000000 713047807 189569951 262544164 372681508 1000000000000000000 905179118 787455961 850709401 585649504 1000000000000000000 811735799 624121742 752534263 564953946 1000000000000000000 283023177 217641382 41574622 33067484 1000000000000000000 434926581 317612674 428641627 31889000 1000000000000000000 178537267 99836843 133421294 65474388 1000000000000000000 716837350 640831738 339782809 702795663 1000000000000000000 96712407 21804198 9354394 7165938 1000000000000000000 340567292 330008929 334233438 74712610 1000000000000000000 439898244 314606697 413204007 367971812 1000000000000000000 50047379 27947392 6624843 37751401 1000000000000000000 562059767 64022062 88882542 471354975 1000000000000000000 310485921 174608307 196147052 290362330 1000000000000000000 72068960 35730458 61374027 30356817 1000000000000000000 986185099 349779698 117791798 301690168 1000000000000000000 196805031 118863185 7820202 172406879 1000000000000000000 438015481 194558395 134134194 4280556 1000000000000000000 705589601 622605831 71931917 480370458 1000000000000000000 846458983 659299497 283563445 349208675 1000000000000000000 333622969 58231061 328867243 184270766 1000000000000000000 198494544 80352954 80467939 187639116 1000000000000000000 275070649 211502422 154267521 249133283 1000000000000000000 186490241 28531297 8340586 69247373 1000000000000000000 26954257 15675970 23416867 13877202 1000000000000000000 634580294 354820743 406035971 523575097 1000000000000000000 926740747 360762378 118644198 220997036 1000000000000000000 564460121 124463310 510566105 140406543 1000000000000000000 754935024 49172114 573364103 511657650 1000000000000000000 120352234 80198931 79654921 6664311 1000000000000000000 553697623 239571841 43877108 69053332 1000000000000000000 723197564 180382803 52575072 288628174 1000000000000000000 689304562 188419311 430535329 153131684 1000000000000000000 659276535 185695934 251647039 217131355 1000000000000000000 561434388 197417571 400089759 447697751 1000000000000000000 67600781 30878434 26079002 31576991 1000000000000000000 62806356 12443259 12104467 36277248 1000000000000000000 233028186 82130337 107966787 14362754 1000000000000000000 42547436 30556457 42457008 17686651 1000000000000000000 587000052 465533584 443684660 102188644 1000000000000000000 380208443 76680265 142437383 263542455 1000000000000000000 669319032 307726706 48472544 649321236 1000000000000000000 730456710 50053974 244180308 620381692 1000000000000000000 391395246 323234166 72670767 42783591 1000000000000000000 793290217 672092563 268780595 337135890 1000000000000000000 989751118 1991997 235231784 856304100 1000000000000000000 248911487 104625519 245959888 243850356 1000000000000000000 411044014 245197547 104462885 241742862 1000000000000000000 963957506 365842793 917985666 292561722 1000000000000000000 468443891 340018330 434864796 452117946 1000000000000000000 19461045 16370841 11496595 10318490 1000000000000000000 646220946 23727114 55712275 550862511 1000000000000000000 145898476 69378634 50734007 33145461 1000000000000000000 492407499 144669400 434748551 376501463 1000000000000000000 445384715 360047771 156468624 114208634 1000000000000000000 468409324 85919532 240669000 39606212 1000000000000000000 478726620 28595364 441833294 445827837 1000000000000000000 99987074 22656550 77379075 27340907 1000000000000000000 556093527 472915441 103269921 29082509 1000000000000000000 57351063 38834448 52952794 47556703 1000000000000000000 136044154 54148438 85473643 53725096 1000000000000000000 405150342 265955020 122082536 214532277 1000000000000000000 791021628 140618329 283230357 524273818 1000000000000000000 126742192 85688407 90159324 103915404 1000000000000000000 54860297 7015516 39283222 21373873 1000000000000000000 408058929 263316165 197687531 167807463 1000000000000000000 818845139 338934144 332200954 700380861 1000000000000000000 288854515 122358349 52511871 261427549 1000000000000000000 592830430 485573298 248108006 372650886 1000000000000000000 729500589 335291442 355836554 408577533 1000000000000000000 587715408 396747627 494487391 380245053 1000000000000000000 645801076 396634126 16895221 293073720 1000000000000000000 794671007 139214314 592755028 539235606 1000000000000000000 385243476 307979199 195850255 309276387 1000000000000000000 172128753 58531571 8756932 127300430 1000000000000000000 761710754 261380068 334530668 43997667 1000000000000000000 304804802 124558771 79087288 49687130 1000000000000000000 138957047 8705471 75078478 24441230 1000000000000000000 763533367 229358923 391176404 373094700 1000000000000000000 187514827 126717775 144289885 153199788 1000000000000000000 869855763 385958602 779686109 841150769 1000000000000000000 287496286 61070263 217757657 37433472 1000000000000000000 982736219 537579025 17999320 944418431 1000000000000000000 187840819 158681433 118318380 70076831 1000000000000000000 319403771 162162169 15802417 286205686 1000000000000000000 428868592 243949183 131726314 148004404 1000000000000000000 777113373 578882492 177936119 171609400 1000000000000000000 780760038 199338034 481422665 297490913 1000000000000000000 835672318 73983033 769498113 639853455 1000000000000000000 805482927 748572546 346202511 578322267 1000000000000000000 612866804 491418904 147904381 204779334 1000000000000000000 352122890 278641802 136865781 46335780 1000000000000000000 671953224 539988386 557975219 395698762 1000000000000000000 356142484 317446796 54302501 103052196 1000000000000000000 687425540 44673834 450028866 419780043 1000000000000000000 712924742 499449016 309473120 258703585 1000000000000000000 440076828 129896068 318810285 61342652 1000000000000000000 537408902 515583852 532424538 354407343 1000000000000000000 197978355 146997045 34616874 169749921 1000000000000000000 887555284 662475917 86950247 60841515 1000000000000000000 355636586 184634629 116606145 65883951 1000000000000000000 501622984 97902132 225296168 219643139 1000000000000000000 793463227 189971682 783207751 54456109 1000000000000000000 210654199 151795354 15136232 39446991 1000000000000000000 937161055 708435872 303463508 468419256 1000000000000000000 321640159 251954992 209400375 301112314 1000000000000000000 327963316 172790799 286843986 75123629 1000000000000000000 538796886 456450744 372375112 396056925 1000000000000000000 512693951 58819428 313150654 294203898 1000000000000000000 619145398 323553610 257819879 273358893 1000000000000000000 490693643 231914257 342323155 253552271 1000000000000000000 686054617 107737808 241861776 577422427 1000000000000000000 961800130 315868324 818676420 888493896 1000000000000000000 786941887 736677686 486327338 510281842 1000000000000000000 173802556 133611975 60352714 51981527 1000000000000000000 455805266 212425123 449189588 309019213 1000000000000000000 223782035 155180590 207418928 143526380 1000000000000000000 407129088 374544679 65448620 92497470 1000000000000000000 460224837 420219306 436248395 258190608 1000000000000000000 857766219 199649622 479508985 260863714 1000000000000000000 669908926 582754372 282581 280945394 1000000000000000000 181702672 45689318 17243349 74502985 1000000000000000000 162053015 114934551 17268998 53906251 1000000000000000000 331343269 285683471 204575768 300176317 1000000000000000000 580566840 308817136 139727867 461450163 1000000000000000000 625628969 190552727 162656808 227371354 1000000000000000000 629418665 405447302 168720322 411832662 1000000000000000000 298822638 52656799 223121956 834549 1000000000000000000 768646534 139381576 201933931 485801238 1000000000000000000 228374314 68706526 62620308 14888595 1000000000000000000 416533953 282979611 157073746 293017435 1000000000000000000 898798829 897878595 284886266 81425884 1000000000000000000 828133635 787284352 637881314 102468462 1000000000000000000 515945843 15669686 232437825 363729666 1000000000000000000 575436213 270375946 132143632 305593287 1000000000000000000 472887747 128687773 282162274 86939707 1000000000000000000 663361011 293650951 418256832 122062091 1000000000000000000 490497235 453224255 423331423 71125279 1000000000000000000 900962727 486374720 682965201 45011413 1000000000000000000 689888030 90494763 682410487 4130925 1000000000000000000 209824439 38889911 117604332 88267233 1000000000000000000 762121188 760971900 566310070 472499938 1000000000000000000 631210731 387021112 445946608 548129238 1000000000000000000 173705337 117656782 99448565 91180687 1000000000000000000 240712541 116325073 182702879 138149674 1000000000000000000 704417815 103415281 278046373 538507858 1000000000000000000 355542666 297522935 65379222 224958955 1000000000000000000 719032492 384452112 71850506 97919622 1000000000000000000 663371343 433004708 400527900 117530733 1000000000000000000 79480956 19804672 69970714 25978377 1000000000000000000 862042538 252447512 592848852 632398549 1000000000000000000 724320029 322258857 593887372 550608516 1000000000000000000 677012261 90556878 462936713 354904874 1000000000000000000 811955240 394592289 346211174 183706949 1000000000000000000 137943170 32647782 102834548 60491975 1000000000000000000 50257494 47055834 2854610 30886274 1000000000000000000 660747645 37782501 186977294 570104837 1000000000000000000 71967998 71165625 66910812 5550390 1000000000000000000 893489776 479125768 810386317 534807017 1000000000000000000 175395018 59583872 20487958 141014305 1000000000000000000 223786438 191843617 171196652 108829951 1000000000000000000 257609602 256829974 90416011 91825383 1000000000000000000 406968905 29173906 320152213 98235382 1000000000000000000 160587552 150376592 67756208 51487953 1000000000000000000 247154453 239623548 146832386 98389765 1000000000000000000 178617917 58501432 85550670 12642681 1000000000000000000 857701447 529805338 458663499 151727575 1000000000000000000 64105708 4761275 52567072 10777918 1000000000000000000 74198014 62671009 64723279 53695414 1000000000000000000 69114732 30312262 21095101 5360883 1000000000000000000 282819696 97804648 212825055 55336322 1000000000000000000 361584577 274086018 163590734 69771123 1000000000000000000 909431663 526405806 897190546 662623320 1000000000000000000 914942381 331038340 399060181 24272394 1000000000000000000 48127337 23288011 8193742 21971113 1000000000000000000 402326392 142047336 106294325 324387204 1000000000000000000 251071131 85459935 249193514 94528813 1000000000000000000 28612470 15972379 22877325 6136681 1000000000000000000 338364767 283254107 257383169 110382227 1000000000000000000 604772734 19008043 359112141 149724403 1000000000000000000 840254419 88021041 180081440 197684747 1000000000000000000 379077718 61063944 289405037 373240535 1000000000000000000 665916724 21555838 660763910 252912683 1000000000000000000 465785759 381207121 137040442 220973771 1000000000000000000 993489818 784360859 180785542 584888842 1000000000000000000 488500055 467198678 228632507 334844717 1000000000000000000 295501877 215228521 241888452 19196478 1000000000000000000 298902233 221099792 6920663 239667823 1000000000000000000 149397364 126959768 27759179 14428746 1000000000000000000 206591308 39728676 75484469 144388517 1000000000000000000 136022389 22850214 119086271 46828863 1000000000000000000 914236781 469823241 649106149 893307963 1000000000000000000 341464823 246292617 11598431 24117950 1000000000000000000 82951004 57126534 6815996 45989320 1000000000000000000 882858342 373107293 487608352 653349926 1000000000000000000 838994016 709994479 158318250 305196118 1000000000000000000 295162542 52035663 196201866 182817333 1000000000000000000 31289545 7830806 24558362 7868041 1000000000000000000 910614688 419889500 221023248 723702364 1000000000000000000 604924718 150491251 256449873 286984192 1000000000000000000 529220668 477056828 128030562 504197859 1000000000000000000 610974615 591278820 352167851 54171844 1000000000000000000 714460378 389306731 20314008 449619586 1000000000000000000 641161994 416373191 151127376 456641685 1000000000000000000 833444915 754341406 759611633 402975886 1000000000000000000 466038739 388851162 12540429 105218772 1000000000000000000 212136084 55390101 43374195 120105242 1000000000000000000 627920775 440718036 163934859 399680132 1000000000000000000 371630176 220551211 276858093 213700752 1000000000000000000 363885949 253240974 117914601 233318190 1000000000000000000 158369868 119043024 25554540 94259743 1000000000000000000 706166971 529997552 686652172 527133330 1000000000000000000 197962923 82098378 92269428 4885403 1000000000000000000 418213109 49625747 71924099 196470314 1000000000000000000 773750465 17183125 209980479 114544751 1000000000000000000 48130629 16988507 31575174 22190901 1000000000000000000 150701142 48756265 124814566 109650693 1000000000000000000 60498689 13367989 45908491 2006318 1000000000000000000 269189062 165153419 135556478 13159150 1000000000000000000 137465764 125999205 63548955 124627450 1000000000000000000 864375753 265083475 255610713 109847668 1000000000000000000 727662397 144720730 24554612 414819784 1000000000000000000 838608381 110086958 783691186 781722481 1000000000000000000 49037802 26691061 28490590 30226980 1000000000000000000 544059462 322946002 68630051 252685677 1000000000000000000 499824279 399760570 303292082 387941494 1000000000000000000 598614622 590500309 383937296 257595171 1000000000000000000 529882293 157997035 10633479 393446490 1000000000000000000 492693325 314060201 228917295 87757245 1000000000000000000 193880936 35912726 74710511 45828996 1000000000000000000 483542594 451886520 481787066 201260848 1000000000000000000 589875969 384412593 176614074 239680971 1000000000000000000 615598182 129487330 556832860 383601218 1000000000000000000 420557956 158705540 298774458 374077361 1000000000000000000 47353456 22398822 40778565 19936158 1000000000000000000 697787774 362024840 107793214 667722815 1000000000000000000 381374498 359137370 312066695 133032038 1000000000000000000 114060270 40519414 73025722 44466312 1000000000000000000 666219285 29455275 1188197 351570650 1000000000000000000 356865374 277132453 95250709 175620025 1000000000000000000 759143720 91876349 176582774 102186838 1000000000000000000 90813131 9404895 25387793 24483664 1000000000000000000 350447590 338766098 13096061 142224067 1000000000000000000 215081152 64374240 72220744 1240375 1000000000000000000 439101571 410754245 17964832 165271724 1000000000000000000 253877511 23166561 226283545 227359747 1000000000000000000 260554692 220516138 231695035 15044654 1000000000000000000 280974538 244192885 172150854 84572260 1000000000000000000 992462603 620393436 65529525 506626190 1000000000000000000 451638973 409767389 351671103 47687340 1000000000000000000 955204511 78700982 245668569 25788818 1000000000000000000 300403997 152308934 132040354 264439037 1000000000000000000 241450857 21028873 63379794 213487134 1000000000000000000 457007438 400548804 66352006 211692908 1000000000000000000 493866585 68181692 461401461 197041677 1000000000000000000 610943159 274566961 107258719 511420102 1000000000000000000 708420740 389720442 199612778 415661269 1000000000000000000 86558339 70512932 67610992 71451641 1000000000000000000 167916118 96449542 18997034 129224987 1000000000000000000 42088513 34460009 23483599 13749397 1000000000000000000 710140886 375765929 264782111 426987344 1000000000000000000 488174996 98225309 134600515 398975612 1000000000000000000 791485962 163140360 777505099 634905100 1000000000000000000 400781952 307192496 281102483 97074113 1000000000000000000 376614545 24613165 209507291 320724201 1000000000000000000 358396969 16516987 325836708 129650755 1000000000000000000 802331857 466572942 372039563 334595523 1000000000000000000 743025831 357234768 255168620 647810084 1000000000000000000 106738232 22744978 72637483 62357850 1000000000000000000 299814113 268345146 249342714 299171896 1000000000000000000 754255126 483501864 417634401 235014881 1000000000000000000 521532804 297159900 291624507 250738010 1000000000000000000 777757099 704841045 120637652 719976596 1000000000000000000 934246783 530248132 273499789 761213180 1000000000000000000 260867584 239300648 81377815 178814778 1000000000000000000 404370072 181898601 38692908 43161870 1000000000000000000 429576167 280060092 1430136 228210576 1000000000000000000 200349370 153278560 104098836 88932787 1000000000000000000 226647205 125642908 23561978 225071123 1000000000000000000 776392463 370988493 359910732 303319729 1000000000000000000 79163428 3462871 64562001 78666739 1000000000000000000 11378681 7424912 7597820 4850834 1000000000000000000 779701670 371478644 668279400 52331100 1000000000000000000 653652865 63532993 361436795 424372746 1000000000000000000 371249243 287117211 114097704 6788236 1000000000000000000 440134609 130915488 34751383 291422232 1000000000000000000 402000080 182555253 316019547 311668628 1000000000000000000 556242660 360750945 514426956 552083317 1000000000000000000 357415589 199030660 260319806 79316944 1000000000000000000 993515171 95173577 806380802 89012150 1000000000000000000 557869846 418598800 318475270 447395416 1000000000000000000 651190561 223908664 190996151 375285426 1000000000000000000 595447488 395725290 551265944 93746589 1000000000000000000 862961492 655497228 87694067 13048292 1000000000000000000 962095379 622208038 623462101 726073429 1000000000000000000 768216214 617107340 382840462 531604720 1000000000000000000 608337844 229171393 588943001 305270702 1000000000000000000 975499233 700450679 897207297 397388353 1000000000000000000 917525083 103829632 442431075 213295276 1000000000000000000 361052037 286490744 187989291 337095372 1000000000000000000 603665374 278408574 10664989 3092329 1000000000000000000 32344714 22584053 20116108 25417978 1000000000000000000 289100128 145516243 100781477 252237678 1000000000000000000 871030686 674350695 822891493 780895066 1000000000000000000 823385106 471124428 40405899 247388870 1000000000000000000 961615561 28568852 918381986 684461792 1000000000000000000 107803267 20400956 65393177 23621123 1000000000000000000 675024356 174944970 248567085 86471769 1000000000000000000 114496365 40439616 50979125 3646633 1000000000000000000 46014643 14912344 11281623 44572162 1000000000000000000 576585874 56330219 354811114 104839762 1000000000000000000 616996909 333596980 375359981 554171814 1000000000000000000 348420772 104753199 117865834 291256610 1000000000000000000 634290984 245909932 373176579 508516457 1000000000000000000 20508445 14118794 9110540 1412899 1000000000000000000 526545863 266190279 495779916 335262375 1000000000000000000 630388214 326305855 169189596 389245799 1000000000000000000 850462126 133517025 261467516 413346460 1000000000000000000 338878654 77225816 126013104 24810765 1000000000000000000 158812119 52029414 22113458 128310300 1000000000000000000 491957043 215984647 268342061 360662217 1000000000000000000 34614459 30069939 15525624 14873515 1000000000000000000 499076868 484115268 359421434 394455553 1000000000000000000 513820838 268233334 412873326 375977704 1000000000000000000 187611662 70533233 89774165 145063643 1000000000000000000 558827488 189353162 291812335 509198988 1000000000000000000 463360738 174567378 77921911 90342259 1000000000000000000 936928452 701520124 666061913 614847328 1000000000000000000 623474690 584735330 383287429 21297045 1000000000000000000 103282303 88476989 24536056 60599957 1000000000000000000 512213629 82885970 362937095 290431200 1000000000000000000 647325815 71603195 516774011 161260747 1000000000000000000 624540066 23887226 104207615 120231171 1000000000000000000 357820947 211869377 320280120 152332944 1000000000000000000 782785336 530188398 431270296 643151657 1000000000000000000 875429672 7252358 341886143 750975823 1000000000000000000 601055176 18594508 87374992 477468489 1000000000000000000 211510860 33228951 41151837 189417058 1000000000000000000 883857839 874443723 410452975 651877031 1000000000000000000 491399358 85180400 444040613 286700954 1000000000000000000 565322661 305279939 511083076 254315738 1000000000000000000 777725625 33496249 631093418 462183228 1000000000000000000 429234030 366640613 137221708 33120284 1000000000000000000 982822753 439701370 653376175 21941466 1000000000000000000 219981081 103466673 182319300 81210108 1000000000000000000 506294763 52678439 341461674 47461281 1000000000000000000 973619651 818837300 167762776 211085890 1000000000000000000 434470865 348170527 83100278 355731680 1000000000000000000 386508512 50324865 358115244 286464374 1000000000000000000 633827205 313612805 138228851 604471834 1000000000000000000 403990461 227109105 270746313 177612929 1000000000000000000 88261213 19293618 35437177 84154438 1000000000000000000 385859533 143063435 278909615 46991289 1000000000000000000 420187121 186942741 150550322 403875488 1000000000000000000 346960696 246081111 68226113 315135561 1000000000000000000 36534049 29430613 1459731 21102580 1000000000000000000 377080609 274040888 119060272 322087284 1000000000000000000 845892927 323719678 203014149 28620045 1000000000000000000 621347353 454283684 106440617 117133744 1000000000000000000 849961077 78758680 117993423 516289133 1000000000000000000 233746099 53009900 154165419 126350023 1000000000000000000 539280265 529388583 355232852 414773204 1000000000000000000 448942728 320708712 35029481 122833320 1000000000000000000 564081175 440219479 104192002 40644243 1000000000000000000 450571137 294474968 200299740 257873850 1000000000000000000 830125255 87209504 530915643 487068830 1000000000000000000 138172280 31763285 45817056 41415520 1000000000000000000 882059153 191231320 83725408 113261782 1000000000000000000 745842852 104226051 354161320 222449291 1000000000000000000 461788600 256497721 150220540 387489709 1000000000000000000 490488515 360350061 187941461 317588842 1000000000000000000 168643081 9094400 85028236 39945028 1000000000000000000 173112346 50360173 72683514 25856943 1000000000000000000 897639733 202340957 190124244 387109587 1000000000000000000 928761881 888348213 381050899 505036683 1000000000000000000 602590257 337970300 268794057 518770135 1000000000000000000 647114439 52144609 580211035 445645686 1000000000000000000 944111537 161709310 159625446 587925250 1000000000000000000 864852424 725063276 703064730 73537523 1000000000000000000 807476321 561690053 23923005 67118133 1000000000000000000 818405111 723040627 584039407 43502531 1000000000000000000 877353849 828824950 757016613 377187740 1000000000000000000 896849187 290205055 883666123 93414095 1000000000000000000 336032989 19422186 41716172 319113480 1000000000000000000 513640406 282898816 201181924 225276937 1000000000000000000 711530354 202347240 145261400 504598199 1000000000000000000 44817049 17590049 39742289 39970070 1000000000000000000 917004816 478892815 543507261 678027752 1000000000000000000 957144549 99589594 427165902 758865028 1000000000000000000 498647131 383763461 325847011 460685963 1000000000000000000 872263649 104331344 312962513 848215049 1000000000000000000 241875834 87982063 234842481 187172954 1000000000000000000 845659465 211892521 843085539 460849401 1000000000000000000 48845766 19765915 22918557 1694524 1000000000000000000 523588295 355301745 209532837 458810744 1000000000000000000 446164083 161010205 290215391 4428844 1000000000000000000 28761680 18106522 7522595 13161184 1000000000000000000 317607696 71127152 228957384 137655512 1000000000000000000 625379467 281865982 166358303 279919735 1000000000000000000 54983523 24248421 30374367 48816992 1000000000000000000 731347185 666127815 414202968 269659508 1000000000000000000 594189664 591225167 508250384 233507925 1000000000000000000 820401736 6896542 592997567 530904023 1000000000000000000 108841747 69796105 34234241 48233622 1000000000000000000 703093863 84528724 341242140 299145719 1000000000000000000 750889683 35306422 85496060 677877309 1000000000000000000 355497245 97690631 182039091 327844184 1000000000000000000 753705064 171017490 640599297 505018256 1000000000000000000 397137767 220138903 276312426 180486555 1000000000000000000 633956387 360480535 606857182 617860464 1000000000000000000 860042953 539806033 467655919 639904620 1000000000000000000 460860390 101326754 364851446 237565776 1000000000000000000 78272309 73452622 23150750 56630177 1000000000000000000 210388864 72677987 116482920 126158036 1000000000000000000 711980694 695917571 176995576 184321540 1000000000000000000 265730867 12542108 81759672 156713509 1000000000000000000 821913738 684430290 348184283 165691037 1000000000000000000 395763461 113371084 5055499 37426679 1000000000000000000 64992127 10903199 20822936 32162034 1000000000000000000 204551416 75736594 98426308 73992937 1000000000000000000 498641878 290533370 328826942 185510863 1000000000000000000 616079599 357709121 148903139 389720764 1000000000000000000 11983480 10418823 3706061 436749 1000000000000000000 328707736 4489673 61170288 22229774 1000000000000000000 696654134 432127790 58775742 364482458 1000000000000000000 7956951 2283993 2310698 7126354 1000000000000000000 824027975 12633567 488286884 116437374 1000000000000000000 200227796 70645645 83096308 161689471 1000000000000000000 520646048 98761798 431490369 477829032 1000000000000000000 799643245 234568863 656852393 640725772 1000000000000000000 237273431 39931329 4813747 15509827 1000000000000000000 869164806 537253794 267443275 677081710 1000000000000000000 455377963 232147593 44531840 393159740 1000000000000000000 544012889 151564467 10925187 263993913 1000000000000000000 204568821 13846586 12158177 144766578 1000000000000000000 638774716 505869663 115461190 381121361 1000000000000000000 5648887 1153309 5013833 4074599 1000000000000000000 119765457 80328296 52710232 71171664 1000000000000000000 794008001 496207749 666225410 589368269 1000000000000000000 142912736 127931774 15613220 69471289 1000000000000000000 415400584 273422000 26814065 295286810 1000000000000000000 572716234 304951752 331101706 550410128 1000000000000000000 705308083 116371517 321846228 41177735 1000000000000000000 847238617 556275181 142848714 654994675 1000000000000000000 170656241 23418541 95080836 16867901 1000000000000000000 837204734 126939313 677920729 578926023 1000000000000000000 473347237 118984425 225527753 115088937 1000000000000000000 582117766 466314269 70581766 452250166 1000000000000000000 987407383 559083488 53538885 43071390 1000000000000000000 504217965 441866561 482747018 413057879 1000000000000000000 329032745 184349414 292811425 15953775 1000000000000000000 788349027 562816324 139214425 532947248 1000000000000000000 959219899 359191756 422330936 157706691 1000000000000000000 59566267 44532022 22231155 287835 1000000000000000000 458310552 1341317 296880667 357533315 1000000000000000000 315504446 286583909 106432631 58599989 1000000000000000000 757627419 174128218 114746550 390523643 1000000000000000000 272197263 28581393 170825719 224655589 1000000000000000000 697438263 44611389 104211187 321926222 1000000000000000000 949241816 599915609 715348880 351684733 1000000000000000000 505732549 244287811 17193368 464685763 1000000000000000000 611272104 74862483 218030582 554155638 1000000000000000000 218879591 199846227 20762976 49585682 1000000000000000000 496954567 216174085 388290051 207297015 1000000000000000000 708842839 224510478 669870884 33457159 1000000000000000000 174820235 17353193 156799784 150966210 1000000000000000000 550897552 163057877 383109262 398262470 1000000000000000000 742768042 237019925 126065751 441271504 1000000000000000000 75134048 39669782 4465647 49024912 1000000000000000000 768203928 379051597 736900255 90190911 1000000000000000000 842382163 292943873 113744310 328101904 1000000000000000000 320611518 123292617 115935135 270346769 1000000000000000000 176528689 172353493 147743813 23231560 1000000000000000000 868754504 706352931 526049444 144851817 1000000000000000000 334604030 104820642 45853145 211826678 1000000000000000000 648180555 45061353 531581276 457320096 1000000000000000000 206224583 116785857 120538675 101402100 1000000000000000000 402575401 376132126 60877122 20304949 1000000000000000000 677266430 390859389 619379807 648698911 1000000000000000000 403314585 379827943 125318280 164274683 1000000000000000000 490863467 402470979 395947411 32840481 1000000000000000000 54571240 51790250 20896591 42356048 1000000000000000000 148864608 90006574 1268601 6418070 1000000000000000000 41938704 40071165 18894221 16924087 1000000000000000000 332091152 280223175 299362210 67562096 1000000000000000000 720015946 674062505 715314711 56018971 1000000000000000000 680369951 561639824 389847031 354971840 1000000000000000000 908113026 172779263 247965982 719060433 1000000000000000000 654786749 397663316 352870031 270595542 1000000000000000000 73332089 60016538 37297596 51145601 1000000000000000000 949489832 6729387 538079836 903348345 1000000000000000000 290508953 136188176 142296785 88549227 1000000000000000000 869585350 96656935 346212738 115124971 1000000000000000000 337230985 90014445 116294402 116316848 1000000000000000000 321151940 297209770 143568401 234107055 1000000000000000000 656045564 453924887 278418673 98282737 1000000000000000000 628712354 282063408 124582713 204746733 1000000000000000000 620551062 445240626 600282941 432518624 1000000000000000000 541725499 116606632 266418437 175269076 1000000000000000000 17249502 9280090 1756257 5063491 1000000000000000000 828814124 250350626 659192530 546338409 1000000000000000000 897299238 530554897 161060037 206366487 1000000000000000000 373536942 158495433 368900076 367874075 1000000000000000000 602704485 71542015 126415865 125025062 1000000000000000000 793572874 618452985 447192968 264855011 1000000000000000000 19254320 18210786 10952480 17073481 1000000000000000000 543758212 359316491 66365314 457897813 1000000000000000000 67475042 32265021 16503385 35918807 1000000000000000000 52224884 12518339 44467292 16565326 1000000000000000000 360644047 233728209 318632015 245668119 1000000000000000000 512542038 53460661 217800472 134169938 1000000000000000000 971782277 293967378 603563279 675326107 1000000000000000000 621285749 579603360 70256065 607099735 1000000000000000000 788582079 380886689 423170079 338423801 1000000000000000000 484809364 75035373 293960265 344277697 1000000000000000000 792226494 119596668 632735423 240062521 1000000000000000000 448540086 276613280 330611749 103728419 1000000000000000000 149002539 96273363 53198938 48366015 1000000000000000000 704445515 699269552 434698497 349875736 1000000000000000000 699671843 645760058 403423862 604027247 1000000000000000000 194813165 95991382 145294424 39826437 1000000000000000000 784865187 86480145 136398093 639219153 1000000000000000000 189641834 55489529 88445019 133879065 1000000000000000000 430089548 366645982 101925351 429421917 1000000000000000000 30840675 17180268 21824161 27729456 1000000000000000000 839773969 624607548 95804247 324516977 1000000000000000000 879120905 559018124 671023862 289783710 1000000000000000000 236356597 23366402 116670666 137980418 1000000000000000000 503071967 441606516 335297490 146266866 1000000000000000000 726588408 42253272 136266901 592547788 1000000000000000000 731293994 60751323 714371658 676770572 1000000000000000000 536324360 209088515 507509720 491005093 1000000000000000000 720370131 102769796 319804341 523998119 1000000000000000000 846088127 122063564 447666354 438167339 1000000000000000000 672188333 143122780 186236555 491404446 1000000000000000000 29401932 21026385 6229273 14475113 1000000000000000000 834959720 685485039 490446042 566024332 1000000000000000000 300957764 85508681 242329185 205283618 1000000000000000000 58420365 1676267 18054954 16981549 1000000000000000000 887406578 759850094 373903872 751726887 1000000000000000000 861895425 54139871 255298330 77089863 1000000000000000000 76644447 63600147 19848581 72347611 1000000000000000000 758742635 288755877 33366815 168402717 1000000000000000000 201356829 113160753 192298916 144326228 1000000000000000000 766659560 608462314 572406293 750512670 1000000000000000000 742699180 25133786 553011326 691891615 1000000000000000000 861487376 574547009 754947013 487939769 1000000000000000000 465582417 41726936 261528259 274036352 1000000000000000000 761103625 88266394 345047433 484526486 1000000000000000000 222600123 129572812 101459912 52836100 1000000000000000000 805635776 597325127 703686902 351289964 1000000000000000000 83333324 49113524 65997416 62974696 1000000000000000000 19567026 9250118 18306132 6456203 1000000000000000000 162431639 135262757 50483458 89597159 1000000000000000000 954734721 640816938 72549189 147160692 1000000000000000000 831557800 634296542 477594670 109086083 1000000000000000000 175650358 73478651 138093978 110544404 1000000000000000000 170327914 25414279 159777968 62066710 1000000000000000000 811893341 72522969 12984292 616636308 1000000000000000000 825196002 383793177 440834397 46589454 1000000000000000000 3020272 2686025 3000728 2230151 1000000000000000000 940610260 177092018 767490788 96074352 1000000000000000000 328928694 328354742 193018196 199597500 1000000000000000000 285414269 29679835 122370701 98073557 1000000000000000000 228112579 151457709 177846675 217721365 1000000000000000000 132747549 52617392 12578353 115720614 1000000000000000000 260931287 228238932 95460558 168472456 1000000000000000000 755960641 569361338 494891408 413373777 1000000000000000000 56277796 22615238 52817271 15139931 1000000000000000000 223130903 129361747 122418533 112673619 1000000000000000000 405587687 294833461 380404778 236785649 1000000000000000000 431805089 212131639 141626320 393170154 1000000000000000000 304661428 16900799 191758536 122518441 1000000000000000000 43720412 19607063 38246942 12015372 1000000000000000000 989644294 10352375 118961383 663973500 1000000000000000000 830999617 28512937 34739454 239543271 1000000000000000000 377001560 330182502 128398768 288535262 1000000000000000000 874945977 531762215 790480689 775883382 1000000000000000000 627536789 183512586 616097256 467748470 1000000000000000000 351806892 117857195 38743424 256839905 1000000000000000000 150325209 66659537 118717593 44520255 1000000000000000000 344825650 316007514 127769560 298806088 1000000000000000000 93541201 43695894 49856624 32126344 1000000000000000000 105097638 6486252 28298369 53659467 1000000000000000000 873234447 378964702 82103983 267765484 1000000000000000000 923535694 700820679 694863358 118226978 1000000000000000000 314003620 57678945 205620299 149867810 1000000000000000000 506721703 164211949 122353626 420963694 1000000000000000000 229860990 5732051 161369330 187075248 1000000000000000000 772935141 608998060 734336303 333618853 1000000000000000000 917619836 765070119 731925971 286802588 1000000000000000000 555213313 289089234 385338468 529136279 1000000000000000000 655803478 289112930 480771209 148237405 1000000000000000000 933525022 827885898 12247593 600572471 1000000000000000000 572154728 554623740 394905606 205594699 1000000000000000000 96486165 71893121 41211383 716534 1000000000000000000 384392333 126167945 41330998 233623374 1000000000000000000 105053002 71750453 14864908 94686193 1000000000000000000 507798430 172317560 82290473 312918518 1000000000000000000 624994374 612416074 285549089 217288788 1000000000000000000 668491453 370278473 42946278 291908597 1000000000000000000 996450914 614873177 477222717 892484299 1000000000000000000 536242325 532425096 403533059 181462303 1000000000000000000 390424075 126038452 47873527 301283332 1000000000000000000 179643139 35923884 7919567 146511728 1000000000000000000 683730459 190609103 221620379 594271325 1000000000000000000 254689796 37809364 150424112 215273817 1000000000000000000 939129509 133253763 641296692 746978084 1000000000000000000 964359730 651162376 850819385 836054896 1000000000000000000 264115982 45309590 11984004 143778123 1000000000000000000 797615807 63557644 53941527 697792816 1000000000000000000 736852951 235809614 116379146 448470752 1000000000000000000 569263754 394696353 276205461 84762380 1000000000000000000 966853065 235517641 41831370 648405420 1000000000000000000 156773153 59013943 47588783 148521152 1000000000000000000 956273311 653439230 679838650 170625133 1000000000000000000 118361417 46793254 15580925 73353266 1000000000000000000 402256488 203918632 136852677 162637977 1000000000000000000 222867348 180192573 34179691 28605746 1000000000000000000 2246295 1287010 1859581 1685841 1000000000000000000 574243361 133585175 272912263 52089949 1000000000000000000 364907984 18559372 190796957 92137248 1000000000000000000 90314153 38826811 43258118 25702740 1000000000000000000 280021094 62491728 228745635 191949841 1000000000000000000 924665285 305633835 501215952 536770452 1000000000000000000 507946915 197277279 421359393 378795159 1000000000000000000 177959711 58767226 76603870 14132217 1000000000000000000 556527658 218179945 30036217 330956170 1000000000000000000 463009196 238133850 75377683 241437975 1000000000000000000 151248605 35279689 71935194 54716727 1000000000000000000 916979996 56470180 372719559 4523416 1000000000000000000 88326008 14385272 75505842 46306166 1000000000000000000 894105201 727174076 220611271 416881281 1000000000000000000 569956327 156684997 107395364 413535120 1000000000000000000 552255551 272092179 361272528 203724745 1000000000000000000 736545401 173597531 69767663 415109704 1000000000000000000 138312647 34276277 66435876 136748024 1000000000000000000 854787199 636075813 405613739 145666711 1000000000000000000 567201883 114607352 1961589 60716550 1000000000000000000 982275117 823679941 815657326 790461170 1000000000000000000 512878781 277642924 83020379 28258139 1000000000000000000 398790701 19478486 107474996 73964150 1000000000000000000 559942079 183949092 328352254 225899032 1000000000000000000 17924342 7020555 5757269 7338133 1000000000000000000 693951993 622146116 588338881 578233884 1000000000000000000 556012441 253536174 377900918 156610836 1000000000000000000 598314128 418172422 65912317 385143058 1000000000000000000 702083426 463564912 123156671 67703864 1000000000000000000 297967533 167298162 257815599 56163236 1000000000000000000 701296375 290891823 8170527 626055480 1000000000000000000 71665411 37936748 55849477 22208712 1000000000000000000 864293413 33187409 354905117 347917486 1000000000000000000 706625536 5664953 487553156 614313341 1000000000000000000 151946209 125957199 41728153 60740345 1000000000000000000 513099186 20755695 66692006 452723243 1000000000000000000 453147462 245227871 158785343 226696559 1000000000000000000 202897502 197679582 124034022 167806529 1000000000000000000 238457566 131691082 98741492 152245289 1000000000000000000 989004713 736712415 466795922 312539268 1000000000000000000 1597660 1456204 835298 616405 1000000000000000000 582523265 213361732 254679605 382412800 1000000000000000000 604275124 139880004 432336589 115850256 1000000000000000000 54923344 27198168 31765672 5670888 1000000000000000000 671627303 200533537 320344796 614648321 1000000000000000000 701719267 662586226 696551076 627113534 1000000000000000000 10111558 8316879 6358709 8109385 1000000000000000000 647566038 413484008 194113702 316607340 1000000000000000000 616128564 611008273 545225284 526566857 1000000000000000000 510574063 492603322 296089072 68078629 1000000000000000000 759732722 268642265 459603268 47717246 1000000000000000000 385169136 197551994 385063459 142419830 1000000000000000000 203438187 183613420 32894350 199351186 1000000000000000000 893112909 7765849 372300277 162513172 1000000000000000000 122765275 29650102 14964308 60146506 1000000000000000000 672981343 376980220 332278559 639049830 1000000000000000000 479228705 167553895 199914465 10039623 1000000000000000000 448559976 188766701 298257213 246573812 1000000000000000000 609166726 283376834 366373774 289807584 1000000000000000000 914470285 145741969 674970056 69926050 1000000000000000000 986698313 698619946 318944660 412549425 1000000000000000000 44021402 41020003 42066039 8605335 1000000000000000000 28145842 16450170 6794539 4879745 1000000000000000000 529362292 138379691 298995125 409863031 1000000000000000000 583947340 583425327 375765608 150847219 1000000000000000000 731808122 392573629 566156014 41959268 1000000000000000000 23084989 8538732 58933 17913073 1000000000000000000 169993706 108949224 28141301 109300304 1000000000000000000 682722462 18208478 42237977 402701802 1000000000000000000 349200284 209818595 33529835 237164011 1000000000000000000 163261965 19019423 57828473 76356646 1000000000000000000 249265438 160888839 232841504 133524663 1000000000000000000 71512751 18245300 55589326 55492807 1000000000000000000 927321738 368443362 417518991 401886928 1000000000000000000 898065682 41650905 827970321 369572932 1000000000000000000 448611598 415875382 266487866 65024248 1000000000000000000 785420313 427130778 187740023 100952066 1000000000000000000 251343232 17641100 165778326 239433195 1000000000000000000 434333789 132452987 195907690 153331089 1000000000000000000 793886431 498573792 253119191 152017007 1000000000000000000 868726819 403761366 111991295 79831863 1000000000000000000 142518433 12462198 132747796 86012785 1000000000000000000 530123826 7199411 241159603 138010439 1000000000000000000 774969060 508828055 430711844 356599075 1000000000000000000 891812664 771434647 621277116 795302533 1000000000000000000 250219721 8169858 53672884 184753625 1000000000000000000 45113882 27440180 35455048 10363316 1000000000000000000 537645906 347605731 410856874 263400611 1000000000000000000 648946610 195591866 314186714 485726171 1000000000000000000 124740531 48589780 77590877 22548890 1000000000000000000 463713159 124846017 307853591 11537762 1000000000000000000 804917503 389969540 445175381 244132222 1000000000000000000 714694763 608724682 158885168 172256734 1000000000000000000 620228253 489328582 465150552 546469763 1000000000000000000 124475037 77401893 3573628 77050839 1000000000000000000 446073471 196159170 198328453 341792036 1000000000000000000 790460753 7542548 708328603 694663599 1000000000000000000 88468445 78582082 76317275 50574219 1000000000000000000 43155519 33851398 4818246 31480842 1000000000000000000 80355924 30459488 6264117 60693167 1000000000000000000 803676539 699581793 103466608 138889919 1000000000000000000 175895395 27456836 57087562 103006835 1000000000000000000 133730118 57761918 82927844 4659772 1000000000000000000 898999514 843232343 190732713 518981878 1000000000000000000 371980256 230324551 100161655 27770291 1000000000000000000 923240754 103728069 811882994 497779339 1000000000000000000 272578458 140180369 22645769 102138006 1000000000000000000 452841448 338261636 77488973 227498132 1000000000000000000 740156147 396529918 401981770 427634937 1000000000000000000 527230252 341084299 51564667 300437546 1000000000000000000 409383638 37458749 52083932 4739628 1000000000000000000 488635670 6591499 470420888 357835871 1000000000000000000 879686205 298531882 564055436 662698764 1000000000000000000 912457846 649013590 129222687 564050549 1000000000000000000 130460046 50522450 69200405 51994374 1000000000000000000 887906595 818444772 850164920 605716796 1000000000000000000 81868019 28861437 13786790 10508087 1000000000000000000 910733612 618845532 327986333 43735010 1000000000000000000 69600594 15457544 20983573 49933741 1000000000000000000 890652602 797927671 97638926 160107379 1000000000000000000 918689025 912783615 39351667 905386502 1000000000000000000 147185699 5592435 118023558 1908351 1000000000000000000 113466702 82169893 84664697 77709497 1000000000000000000 181196117 122723491 171674299 36837693 1000000000000000000 176350864 59832959 150703022 82951020 1000000000000000000 752357476 354572532 690637512 555760321 1000000000000000000 619922792 324999580 246430878 484444956 1000000000000000000 65637505 42215334 38954681 52618087 1000000000000000000 370600187 308465520 155993536 84090401 1000000000000000000 568486682 140242998 426289421 352616107 1000000000000000000 940998269 727246922 762471071 462187261 1000000000000000000 829996363 469267476 325971045 10064573 1000000000000000000 39985625 7110032 6808878 13343360 1000000000000000000 370778343 104526307 165551262 356196048 1000000000000000000 874920791 819759287 254807161 172675617 1000000000000000000 492351286 482508484 386948581 452354252 1000000000000000000 162006830 125914396 71136943 67375264 1000000000000000000 882074349 165837962 531080918 657265865 1000000000000000000 699896194 256002906 535461691 556936142 1000000000000000000 203076151 65902108 191288103 41698913 1000000000000000000 63053753 35393868 60077325 10573641 1000000000000000000 705042837 146144099 319812708 84215609 1000000000000000000 281580684 132471006 239705962 187433051 1000000000000000000 905285315 518752333 365561461 232934532 1000000000000000000 806094380 114513267 801497061 294109693 1000000000000000000 414086657 37924068 31418669 337971923 1000000000000000000 117790714 99504770 66087702 79403239 1000000000000000000 982085601 584857486 408013487 105031414 1000000000000000000 678644084 48166724 196081016 126046230 1000000000000000000 595137850 543957928 286061702 176346536 1000000000000000000 40890359 33753556 35443847 14044700 1000000000000000000 327984281 268624982 32914980 255584408 1000000000000000000 404825730 178279964 130939461 227059959 1000000000000000000 151774595 40559848 90642972 79523477 1000000000000000000 351578995 307771202 261937103 318570893 1000000000000000000 355709498 100697480 108291815 287298325 1000000000000000000 355990055 150677172 93340348 194150419 1000000000000000000 14734529 2434889 14093871 1172825 1000000000000000000 502685767 346397024 17917510 21646657 1000000000000000000 324830689 175324170 107853779 306567095 1000000000000000000 36709154 23307680 32114951 29679663 1000000000000000000 395093718 28604206 31826973 73860201 1000000000000000000 308658318 183907928 42849507 286641980 1000000000000000000 16491495 16251973 16374185 6661500 1000000000000000000 276064944 5618272 39737175 228780945 1000000000000000000 202151087 155121120 93773545 156778653 1000000000000000000 63729365 46293365 36658452 1870252 1000000000000000000 25977334 23174910 17897181 16816449 1000000000000000000 21980914 9611993 8285522 21488535 1000000000000000000 62098202 32510082 50474616 61185368 1000000000000000000 543813928 324938886 532895180 251465489 1000000000000000000 408822830 312302557 139372361 289488293 1000000000000000000 613198010 77866387 588692449 170643071 1000000000000000000 682965728 386314210 319402959 347862028 1000000000000000000 352425303 341427915 155334944 110913547 1000000000000000000 530441143 337343407 288209500 351041982 1000000000000000000 604601473 449354965 593315489 240226303 1000000000000000000 249746772 248417064 130029373 173636920 1000000000000000000 845157654 275379203 485676565 412669928 1000000000000000000 340013634 56160809 249356544 58598892 1000000000000000000 24112167 16100033 2771072 177635 1000000000000000000 790979726 519427529 698038362 670266940 1000000000000000000 688272618 600956868 254723484 264241459 1000000000000000000 52822126 31962896 45622092 21070707 1000000000000000000 76960159 76803716 73706119 19970851 1000000000000000000 63721258 22016006 15564461 41712660 1000000000000000000 825112723 210224500 436269294 617413539 1000000000000000000 438412712 38644184 329675785 24533171 1000000000000000000 383244133 40226121 264037403 140799082 1000000000000000000 968912527 7891320 212278218 283486246 1000000000000000000 709453040 472641202 188242582 109924877 1000000000000000000 415480808 413467557 24029561 380825888 1000000000000000000 30038835 10959539 21953860 7358133 1000000000000000000 674134145 582575213 397522338 138062578 1000000000000000000 595435969 67823852 538676158 206920741 1000000000000000000 573673906 143783995 550112811 207210135 1000000000000000000 978621159 532445737 837324908 568467973 1000000000000000000 753265595 659135786 133723425 537675152 1000000000000000000 485183533 115124510 138764024 472521361 1000000000000000000 32273096 8514320 29215503 25236044 1000000000000000000 443607331 393468398 395500177 350501653 1000000000000000000 980661044 658416323 370774129 522619591 1000000000000000000 310316661 223820174 93371172 114079606 1000000000000000000 661976531 303998983 397170120 357018397 1000000000000000000 895833169 802756683 209781550 214293407 1000000000000000000 869133809 485486850 104096458 576257105 1000000000000000000 234089714 160674258 102941849 134260218 1000000000000000000 956153080 311160829 668027719 415807904 1000000000000000000 810353276 207852068 518183032 194672585 1000000000000000000 622064264 517329862 78420417 77534730 1000000000000000000 613643528 313053875 89728064 47100162 1000000000000000000 92980114 60688934 30444828 54168090 1000000000000000000 146697370 142548894 5497382 94624629 1000000000000000000 536051113 160375622 27002703 304945351 1000000000000000000 662611560 43315322 8625609 448600059 1000000000000000000 639400082 309171590 461965639 181685435 1000000000000000000 772373510 184734295 695399086 358026859 1000000000000000000 568163785 555903729 202360925 444387826 1000000000000000000 197286695 1847683 185565301 119329116 1000000000000000000 55221961 48232337 36299934 11655510 1000000000000000000 851594049 140327859 281823761 14953612 1000000000000000000 675458996 66021900 93347003 306865732 1000000000000000000 650569616 108459907 421612956 522064264 1000000000000000000 144205533 89282312 82027669 62290936 1000000000000000000 380467142 319952667 209937052 91438306 1000000000000000000 394066273 201301735 244544401 154064409 1000000000000000000 860066443 361685957 590111010 108289077 1000000000000000000 700911820 343334492 526992862 437218146 1000000000000000000 413471823 382353490 173243584 142856352 1000000000000000000 121519178 9925879 65547802 63090878 1000000000000000000 641704046 131227076 204563239 227625343 1000000000000000000 113031095 111760243 21380535 4193018 1000000000000000000 253349442 70117706 125635299 200353671 1000000000000000000 240264840 193928680 191446549 109333303 1000000000000000000 16447150 7893081 15571738 10875281 1000000000000000000 731787515 122252592 199570186 544430990 1000000000000000000 886741007 856484068 392771913 726898804 1000000000000000000 804269594 483215631 666046342 472693740 1000000000000000000 986387548 899016043 84996023 455480125 1000000000000000000 382572567 81177054 173841216 88241744 1000000000000000000 697534321 371904710 132184847 390827314 1000000000000000000 291049748 219012892 169213274 161566056 1000000000000000000 616095457 276647781 494262217 16868142 1000000000000000000 47136496 41298301 5115799 8178679 1000000000000000000 336134432 84791895 21940008 273044962 1000000000000000000 736929254 29950436 28601715 728120690 1000000000000000000 850639544 386073450 430487966 180192884 1000000000000000000 564117729 402971301 423084325 432704255 1000000000000000000 398400092 251912020 13633263 206295606 1000000000000000000 205936310 44524420 186285766 30349219 1000000000000000000 750787196 689555589 444355734 321103536 1000000000000000000 260737348 242938557 94070306 196715651 1000000000000000000 790549050 700804668 44419882 38171234 1000000000000000000 867875691 663285612 301559282 665564568 1000000000000000000 841168631 445701865 140015611 661349835 1000000000000000000 928165057 307279266 517766489 784802440 1000000000000000000 707303391 601919266 523416912 256352566 1000000000000000000 523436106 86086978 316976157 362067536 1000000000000000000 747146382 685883973 710599935 95704430 1000000000000000000 283371241 279888166 69563862 112297300 1000000000000000000 506873778 214784437 441268109 14915560 1000000000000000000 514226457 340168445 268058319 329719034 1000000000000000000 848876669 418285911 687883582 726262229 1000000000000000000 446980320 121756463 205049527 187578587 1000000000000000000 622625886 605082243 26923323 62757856 1000000000000000000 702484607 420528212 48144024 361869900 1000000000000000000 803814000 176010068 226577478 464552483 1000000000000000000 957302549 559590269 455797009 445186122 1000000000000000000 344832246 34695138 177567930 320386010 1000000000000000000 539045743 102632005 297773728 64246457 1000000000000000000 643639372 386391554 168306131 526758202 1000000000000000000 390936366 209731342 156777232 289210235 1000000000000000000 528890199 229289130 471875676 204478500 1000000000000000000 966539666 723417434 73660156 174290331 1000000000000000000 735384344 179206978 292949609 641092580 1000000000000000000 875040216 350502126 301406649 559586240 1000000000000000000 84646002 26525321 52459434 70084962 1000000000000000000 416797084 182890574 404268134 318537778 1000000000000000000 355630971 299795013 172137620 128156826 1000000000000000000 379460108 253100433 117786875 220852017 1000000000000000000 526609277 445580250 372429634 13696397 1000000000000000000 674485672 663121629 82616437 409268494 1000000000000000000 465915848 183068995 451729494 71793564 1000000000000000000 805389316 513814851 521045412 106598692 1000000000000000000 517845697 380448105 323521233 55555660 1000000000000000000 700530919 577853168 214383244 414859000 1000000000000000000 998645334 583112679 263217405 478076696 1000000000000000000 521966280 140785263 228458215 506243889 1000000000000000000 279812043 179941746 173298940 241089968 1000000000000000000 991551213 124551141 508678438 979711205 1000000000000000000 114018695 31174182 52622007 113945906 1000000000000000000 200359998 100355428 64157273 73884636 1000000000000000000 730425063 271870667 379894785 694590604 1000000000000000000 641060648 135281252 425701055 561252706 1000000000000000000 374123784 62982840 284546707 114685680 1000000000000000000 692312244 399069296 145787433 383302732 1000000000000000000 315630893 6184812 109803696 76911429 1000000000000000000 663590259 575902292 532791981 427068979 1000000000000000000 264559837 188257907 120828860 12828177 1000000000000000000 15466689 4376981 8203254 12192159 1000000000000000000 735700710 390918420 598062217 168843239 1000000000000000000 274346659 242841838 42309442 70687384 1000000000000000000 60922318 32975499 32411433 26197032 1000000000000000000 715072380 160061913 604590443 174662195 1000000000000000000 210433267 149853030 6692597 16173795 1000000000000000000 234295801 83282621 134248418 125361695 1000000000000000000 867193030 84050345 632727282 105133547 1000000000000000000 924110747 153310540 693247326 566697871 1000000000000000000 317138832 154105292 204866028 203078434 1000000000000000000 270129589 28984911 127030918 107991869 1000000000000000000 575550141 349954052 39801941 508505605 1000000000000000000 618225749 318442531 343707497 9554960 1000000000000000000 845770530 4254852 621240622 535132354 1000000000000000000 485757137 84065018 153916916 403959867 1000000000000000000 688672057 660194218 132709555 165813037 1000000000000000000 172388896 47385529 124331850 154323354 1000000000000000000 709100992 45727294 180054312 575378301 1000000000000000000 881381754 800448949 713827845 320344536 1000000000000000000 982133355 67568621 580854967 928633678 1000000000000000000 368906476 178801308 244185264 63738674 1000000000000000000 878541103 368384265 670183393 653449396 1000000000000000000 864102571 144091064 626779330 766011406 1000000000000000000 247592003 76213922 37123033 103957311 1000000000000000000 132081802 119286406 45163850 108281179 1000000000000000000 469932702 287746228 286580027 91933253 1000000000000000000 243464424 236901086 39484639 12385704 1000000000000000000 26638980 16810810 24471075 8358836 1000000000000000000 42957198 30373982 42658496 20474700 1000000000000000000 122973175 11082974 28246337 55714185 1000000000000000000 780646107 592739944 545720761 708595704 1000000000000000000 525458531 309155588 47491728 410472860 1000000000000000000 715135237 687967464 217393503 625203961 1000000000000000000 13101872 8375146 649812 592656 1000000000000000000 998350078 706363105 136116785 412191154 1000000000000000000 440935604 30460508 374988876 360555651 1000000000000000000 829632239 121009014 312023953 57839195 1000000000000000000 363641127 111816767 190513516 351598219 1000000000000000000 413086309 227721986 368388806 51470395 1000000000000000000 619099617 567128661 122610132 202695202 1000000000000000000 312401568 256488493 119125159 189568590 1000000000000000000 768566304 135551653 752501268 373248729 1000000000000000000 227352907 196761177 31578729 55104991 1000000000000000000 144229525 49600951 33567840 108177529 1000000000000000000 221216189 67402985 58451703 32186592 1000000000000000000 980282196 670932942 471933218 172989333 1000000000000000000 109113345 77208424 18894409 64611924 1000000000000000000 214850250 206276682 23371273 39609666 1000000000000000000 605548562 118659129 545493999 202680250 1000000000000000000 955044100 35890539 450964137 918774933 1000000000000000000 285482133 143991612 188889544 8538209 1000000000000000000 538735006 323620407 109635781 27385669 1000000000000000000 269055753 252274304 59176771 26400380 1000000000000000000 422206975 147456745 128410933 349836509 1000000000000000000 112968361 24156791 50788771 44580968 1000000000000000000 983686105 225575619 182746247 958477840 1000000000000000000 600833845 138393745 273799555 20351732 1000000000000000000 656544913 351055220 205152739 351403690 1000000000000000000 860206351 75579920 604938542 673488890 1000000000000000000 760698414 730917636 686676368 321723120 1000000000000000000 430325049 76026983 99804378 311806504 1000000000000000000 373462678 45570399 365684663 108364305 1000000000000000000 205935097 32085091 124416535 195830803 1000000000000000000 929374409 46900023 30167110 437568371 1000000000000000000 402257118 39005212 254836605 147214074 1000000000000000000 818148172 470617946 32919055 265020498 1000000000000000000 771297626 448409466 462466746 156002711 1000000000000000000 609641705 49683490 55028047 412611465 1000000000000000000 199613627 7653763 126658111 21427160 1000000000000000000 170862927 34773384 98288608 143548206 1000000000000000000 439587634 105805489 168762116 259234870 1000000000000000000 980361934 87454332 870156943 605073756 1000000000000000000 633632867 193227966 76773365 244038278 1000000000000000000 274648362 112457760 180918704 192658109 1000000000000000000 263300386 117789489 157517694 53661079 1000000000000000000 658273947 329158568 606496037 92326537 1000000000000000000 367563508 182003976 264510767 241326495 1000000000000000000 454923262 180381503 87172241 335329198 1000000000000000000 580595047 435269419 446378252 468572617 1000000000000000000 297467245 188141457 177005797 76633369 1000000000000000000 929413030 647209297 648483329 812143664 1000000000000000000 245482234 63049497 126664310 72217254 1000000000000000000 816311258 410913597 502608267 630263368 1000000000000000000 129601464 69726764 66155055 103785098 1000000000000000000 10389261 1243892 5309344 2788758 1000000000000000000 8892067 2720585 3663296 1291411 1000000000000000000 527869374 440859062 309852670 396139686 1000000000000000000 370867069 318990058 118924 25278919 1000000000000000000 376824846 292417064 268523233 201280044 1000000000000000000 291914606 220489266 24077145 291035992 1000000000000000000 139972309 83914487 26161721 11732644 1000000000000000000 699234304 302346202 120729077 341347335 1000000000000000000 477860233 394198499 387866679 313144751 1000000000000000000 832389229 478571459 477487302 687913788 1000000000000000000 170944026 59783681 71446682 1316836 1000000000000000000 768115813 766645 708633900 244900834 1000000000000000000 539612738 244472844 246674828 493841674 1000000000000000000 594407132 460499873 70947730 291254563 1000000000000000000 712118065 610053543 384883354 661046340 1000000000000000000 684348801 618366552 2913887 9873875 1000000000000000000 386328991 11193911 137245060 242764392 1000000000000000000 553486549 335288828 179277910 159576008 1000000000000000000 241499654 14753599 227260968 94506587 1000000000000000000 279017918 5098600 14965190 181438001 1000000000000000000 842093439 356780554 256972996 356749124 1000000000000000000 29888565 2143865 2599486 12880101 1000000000000000000 198017253 39743251 46655247 80072924 1000000000000000000 438369656 427703126 302519604 198582337 1000000000000000000 741876776 611766024 473854851 380175675 1000000000000000000 536855638 362697546 350519625 191692697 1000000000000000000 317102527 100715983 90426737 134782641 1000000000000000000 500663288 76592645 68357925 21397685 1000000000000000000 50849268 40826331 26059797 17041288 1000000000000000000 854202558 54252265 342135049 76142824 1000000000000000000 594772196 145000781 229855864 30055283 1000000000000000000 550868232 114031933 176570470 72847684 1000000000000000000 672883879 181606729 268002150 438485935 1000000000000000000 308486072 228304842 169259155 101588932 1000000000000000000 882861461 300099337 720571400 183031710 1000000000000000000 887266671 369993443 782446126 760642050 1000000000000000000 72357005 1669197 66324804 69545840 1000000000000000000 827263916 85613142 102668787 765492325 1000000000000000000 782543762 291670977 622602329 354343904 1000000000000000000 917015474 325358786 160024034 621752579 1000000000000000000 938928006 457559563 237450176 580123904 1000000000000000000 857818247 213910586 260116938 544333853 1000000000000000000 779740842 484480468 706510235 121830321 1000000000000000000 176466382 4385460 132164602 160779472 1000000000000000000 491696550 352504438 409766542 104788558 1000000000000000000 412279506 286875995 318353091 142598227 1000000000000000000 347968958 157389453 164206792 49975555 1000000000000000000 835019859 224498363 760824210 609315054 1000000000000000000 802765242 223139136 724756109 756951008 1000000000000000000 950871805 281705899 694859408 621108439 1000000000000000000 364430529 30990416 113154485 4173814 1000000000000000000 892867688 891618866 305001479 322041796 1000000000000000000 838327927 547293000 236275007 370205987 1000000000000000000 431278383 309737 203289944 268802210 1000000000000000000 890006570 272535668 299199369 597119713 1000000000000000000 828498991 293489176 425019625 139675378 1000000000000000000 146048133 130785646 109197571 88677159 1000000000000000000 213752679 88664569 115944712 134406177 1000000000000000000 187116073 9758902 137938822 135237872 1000000000000000000 713078803 279101951 671701244 415597694 1000000000000000000 582751319 278005041 109882255 506166920 1000000000000000000 928906791 542530798 451236814 890502009 1000000000000000000 950062478 590749772 200872384 4148722 1000000000000000000 842130542 721694294 60765124 76496281 1000000000000000000 697536685 408143553 572148879 82141421 1000000000000000000 105473587 54979068 46402643 42628822 1000000000000000000 305203326 245413439 236546124 169833439 1000000000000000000 264960571 146614323 128021648 103527509 1000000000000000000 293874352 19993278 16431334 113727490 1000000000000000000 958239497 458977816 10595471 837854652 1000000000000000000 48882496 26630848 9950226 7202584 1000000000000000000 30581967 9244303 21263562 12880105 1000000000000000000 571519608 472837181 545602702 135689863 1000000000000000000 742705031 467861321 702884707 1076390 1000000000000000000 903005929 486396483 756042090 67426903 1000000000000000000 546497819 3884966 511921315 278949094 1000000000000000000 136523135 64759430 86759834 21330182 1000000000000000000 361440569 316590381 102181749 152828495 1000000000000000000 772234386 276237090 308994561 688548168 1000000000000000000 896078706 315545964 19471185 372223844 1000000000000000000 723780494 449285374 292149247 717943725 1000000000000000000 699414961 655963071 487303603 609399994 1000000000000000000 598781544 86669085 479612370 132017743 1000000000000000000 972130363 875062588 495626009 260131746 1000000000000000000 588482278 349345773 56456643 137038843 1000000000000000000 31150208 11112400 21357820 9892635 1000000000000000000 988408917 727440902 98968649 504350020 1000000000000000000 619382535 64696799 177737633 593803589 1000000000000000000 911020197 180283277 841456367 263076369 1000000000000000000 100572566 73388839 97895546 6395533 1000000000000000000 131631455 80867954 84509830 104101517 1000000000000000000 189052002 63892615 165041984 104409809 1000000000000000000 105237384 47458232 46638346 27699151 1000000000000000000 545785563 91257101 293980647 240988144 1000000000000000000 903639998 225098879 751326995 523212669 1000000000000000000 184722003 182319030 118533518 16886876 1000000000000000000 57739425 11461410 867373 26791180 1000000000000000000 604098153 278840625 271050217 250674889 1000000000000000000 214832783 62488471 133124099 17884018 1000000000000000000 292474981 239659340 11884401 169198868 1000000000000000000 665536244 50944285 269859173 397902885 1000000000000000000 595613664 577931912 272602967 206386481 1000000000000000000 725882380 109820258 467290203 365889062 1000000000000000000 699835036 385711504 497154047 82532715 1000000000000000000 439168936 58695974 17906844 61264848 1000000000000000000 741648259 718792747 126419794 489449769 1000000000000000000 477246775 412399914 257411380 144964070 1000000000000000000 648617370 600051907 23746700 203501639 1000000000000000000 78199287 59451138 36356589 50106782 1000000000000000000 2103125 1096855 1184132 160713 1000000000000000000 744544290 115047082 401871123 432698343 1000000000000000000 578982119 229297819 460585785 167625619 1000000000000000000 238957077 140750003 92457810 195042721 1000000000000000000 206468564 69366616 94839581 7932725 1000000000000000000 292338531 223577978 254211998 182932475 1000000000000000000 578115652 103254253 574127148 15568942 1000000000000000000 497418905 63592835 61943641 482055410 1000000000000000000 137308697 45153253 112906015 6006167 1000000000000000000 65724608 53034981 58071528 10937379 1000000000000000000 509938857 451188018 451205291 294637178 1000000000000000000 660640497 599987053 634369175 266523694 1000000000000000000 905900075 333225060 5895675 13244427 1000000000000000000 7864213 5550185 5683728 47783 1000000000000000000 494044521 340797343 174679320 195410049 1000000000000000000 327894890 65226060 120072027 16037755 1000000000000000000 203681048 67868868 11525418 150888110 1000000000000000000 132272764 50716737 36212215 121774606 1000000000000000000 708468642 294845805 495120754 197156839 1000000000000000000 396248092 145052808 131463681 334091148 1000000000000000000 634984959 582852440 611423890 204670315 1000000000000000000 29399457 10941171 3008908 27056629 1000000000000000000 385395147 105025148 162640955 235835052 1000000000000000000 256906873 68496159 148311023 165691852 1000000000000000000 111402695 97921347 58240073 81387393 1000000000000000000 18698652 2176820 10443071 11333205 1000000000000000000 329889850 152175604 246110326 17348702 1000000000000000000 241168081 180642744 44852245 47618566 1000000000000000000 176858703 76688017 156122925 67329066 1000000000000000000 90485206 56038696 13606633 33271406 1000000000000000000 39931207 22912523 17470594 4182023 1000000000000000000 37663278 976592 20253713 27505222 1000000000000000000 226345914 148934055 132229816 186448225 1000000000000000000 940296788 729270927 349662780 695774222 1000000000000000000 767187116 295358347 308133957 424357499 1000000000000000000 764388283 597499699 239640120 91641796 1000000000000000000 475504939 145582888 394367645 405331917 1000000000000000000 61253941 55422458 5019820 48920102 1000000000000000000 147863615 139890045 60668981 113759641 1000000000000000000 31354162 31093020 15953819 2876891 1000000000000000000 568390469 16757575 258629871 18354987 1000000000000000000 420320371 129187074 156141545 30745308 1000000000000000000 255085502 253239076 107552499 203346366 1000000000000000000 192316002 144450038 83488004 29721540 1000000000000000000 334472600 114967309 102672897 47442855 1000000000000000000 589249653 20927622 62111665 125463252 1000000000000000000 789411984 209850104 553814524 245699494 1000000000000000000 402371921 398587522 47808171 38431012 1000000000000000000 468595922 81993618 207665107 309484391 1000000000000000000 83136995 62782826 21713433 35297053 1000000000000000000 938704562 684051372 746851617 4476357 1000000000000000000 85706669 54077090 62764770 72151542 1000000000000000000 461894889 305074684 270938833 145033681 1000000000000000000 801346373 68854602 267838675 235475719 1000000000000000000 835887672 364468156 2600090 559505821 1000000000000000000 335134957 181720490 334245521 100556868 1000000000000000000 188520501 88701217 169674580 157985992 1000000000000000000 658418631 564860328 157993536 236053674 1000000000000000000 189353587 52111377 143820576 179521573 1000000000000000000 134400134 118333962 29053201 128030173 1000000000000000000 613781066 513017189 448693828 156072159 1000000000000000000 921733645 330951978 450133516 775933449 1000000000000000000 476011839 202161107 31294999 104866376 1000000000000000000 739288778 91187190 212478302 283487163 1000000000000000000 162341641 105900357 63700012 113442259 1000000000000000000 761659593 458424537 681234327 117047665 1000000000000000000 184233421 17224987 158899545 141085498 1000000000000000000 66251864 42061658 60183754 40567842 1000000000000000000 623852319 182684719 54890773 236905365 1000000000000000000 862245319 275323768 35026730 630031615 1000000000000000000 348045696 127755448 307731930 14217937 1000000000000000000 491909515 477246047 50625662 159106895 1000000000000000000 423667907 209329382 237938465 314364059 1000000000000000000 236972426 195757821 187190864 158062975 1000000000000000000 945627516 186870590 332667990 206377925 1000000000000000000 108145334 107218334 90072154 55538303 1000000000000000000 520819041 164631897 9849201 50220716 1000000000000000000 77229603 48303779 31529912 11097436 1000000000000000000 174518286 99517452 97391642 114667424 1000000000000000000 650983400 582759506 471711909 220702569 1000000000000000000 268660671 159470785 215778002 22227282 1000000000000000000 448653630 316202082 234432284 168785920 1000000000000000000 878667147 83929519 584834045 472603747 1000000000000000000 404268960 114473501 330826331 129475276 1000000000000000000 527954830 21740856 33698150 212719410 1000000000000000000 889172423 97723605 666653383 854782094 1000000000000000000 664899538 422970630 392734329 592766402 1000000000000000000 764822394 358938657 13648501 588555909 1000000000000000000 935876722 335956380 21348303 671971607 1000000000000000000 564194809 76884052 517432427 288059981 1000000000000000000 213899482 205902904 131877655 37335686 1000000000000000000 13227728 3285843 11160181 5676892 1000000000000000000 976192080 190375170 82203930 599930308 1000000000000000000 571322662 431688134 68106099 429682616 1000000000000000000 264687143 12293542 163763652 56132739 1000000000000000000 282297992 4421279 124778810 101132969 1000000000000000000 975161648 770971432 671268028 238117788 1000000000000000000 977831607 21972648 254214425 315917441 1000000000000000000 743285117 344376982 628983826 677674086 1000000000000000000 684252175 552572927 305467402 604176900 1000000000000000000 328008468 216419519 311133241 169620232 1000000000000000000 445560335 31871170 151089518 230190265 1000000000000000000 732850438 720605405 46168038 551464868 1000000000000000000 181536636 2519522 50518502 115014388 1000000000000000000 432590817 323484354 390718711 12503702 1000000000000000000 449896903 56837343 288384898 55604612 1000000000000000000 769566532 328997362 603333324 10448387 1000000000000000000 773721159 389851455 687030340 451155798 1000000000000000000 734292505 594598737 205176316 20461794 1000000000000000000 372646210 21618492 171671560 112360997 1000000000000000000 680786217 234259708 326534484 534165811 1000000000000000000 538890237 180977617 138851683 23288873 1000000000000000000 327772476 42422789 161236009 319517032 1000000000000000000 101717219 34580863 49886357 37244555 1000000000000000000 143921300 14949604 130611239 93078541 1000000000000000000 889387620 606690278 488038620 519757913 1000000000000000000 474983806 251246012 65799674 9914858 1000000000000000000 340744254 278892395 257105858 187000913 1000000000000000000 438041538 18743811 15790761 43814399 1000000000000000000 313188311 250572278 274687533 170766358 1000000000000000000 62296559 3137810 15626819 16558074 1000000000000000000 862570966 257954502 614303709 361301287 1000000000000000000 243890396 177716412 166444988 138013449 1000000000000000000 542195914 213127677 285003517 316681430 1000000000000000000 743693823 354924934 523050498 216022838 1000000000000000000 267523669 4498919 171248651 34451054 1000000000000000000 31596796 13262345 15218381 31296296 1000000000000000000 118890182 42957005 60592360 89994989 1000000000000000000 300414808 224588304 51083563 190490178 1000000000000000000 887288008 48387165 768763529 11799795 1000000000000000000 806849718 304606842 705064542 6162909 1000000000000000000 638650 440703 479178 609130 1000000000000000000 179131722 128392359 44900699 93274842 1000000000000000000 515519846 322262574 197358777 352537951 1000000000000000000 767556975 15755950 225243152 161369792 1000000000000000000 196894695 13333154 172765420 65154740 1000000000000000000 15310170 11353510 14709330 4469777 1000000000000000000 561178626 118573010 66071547 389154527 1000000000000000000 191969958 77306776 50373311 67897365 1000000000000000000 552573751 217815986 374168591 294618100 1000000000000000000 433644667 79472753 292695458 327269795 1000000000000000000 804348141 470380634 742417442 227305874 1000000000000000000 904531685 518907162 329035202 577506412 1000000000000000000 803641534 281331574 489604824 6102337 1000000000000000000 3350132 3077151 119474 2045088 1000000000000000000 238614880 128176706 63265846 119173003 1000000000000000000 454820050 75716907 222365225 238283837 1000000000000000000 767205682 724678946 396629167 626245837 1000000000000000000 22445495 9554530 71897 22009554 1000000000000000000 363885412 251294475 147431072 248976601 1000000000000000000 818572633 114812965 509412412 258685742 1000000000000000000 114708813 57689343 72450809 29246061 1000000000000000000 292535539 143941191 3505726 12508456 1000000000000000000 850531934 645519204 79039690 593112379 1000000000000000000 390066592 110441082 4509247 271923925 1000000000000000000 142655413 40151611 99152983 74714038 1000000000000000000 326530889 324837587 51567222 304985504 1000000000000000000 382583032 233165828 162817813 104150779 1000000000000000000 364701239 226007615 332266449 358538377 1000000000000000000 661800380 205851819 195270699 611673841 1000000000000000000 677886410 34598708 344108792 172365219 1000000000000000000 647995784 602469565 295177183 307086295 1000000000000000000 516993703 237913664 339571131 400990212 1000000000000000000 641776463 640685215 391401311 472070780 1000000000000000000 51908784 10840676 32061480 5771400 1000000000000000000 509451089 266442263 96967459 103100509 1000000000000000000 473043993 140429558 217767363 95016442 1000000000000000000 442227119 151139133 33901966 360296666 1000000000000000000 794464841 782876827 42494221 233209197 1000000000000000000 195457484 9216783 173943661 160767939 1000000000000000000 792725900 82924314 404710842 585050990 1000000000000000000 571727425 460269505 347522883 394615426 1000000000000000000 669663796 610873054 614566003 540083134 1000000000000000000 773699538 568825018 269798394 704732159 1000000000000000000 669096793 632874419 101916221 310262661 1000000000000000000 34912441 30085026 2934689 21453322 1000000000000000000 997316121 991149332 996191963 424830460 1000000000000000000 398352431 166278380 288379630 188162274 1000000000000000000 300339655 167894371 200500149 32562213 1000000000000000000 583688765 87259378 507810617 257030637 1000000000000000000 797775770 761371126 438696719 542564272 1000000000000000000 25459664 3636687 1252759 6850844 1000000000000000000 170711307 137144992 153025692 34230175 1000000000000000000 477871041 101778265 241946284 227702256 1000000000000000000 818542533 320213863 720729242 324443207 1000000000000000000 856832001 370435831 78341306 344394066 1000000000000000000 908250902 709361688 155285102 102810009 1000000000000000000 379254517 147638661 363818533 319618171 1000000000000000000 450380276 259173302 224923508 107772232 1000000000000000000 590719798 391903381 335353852 265902853 1000000000000000000 603411609 387083353 534251312 31615775 1000000000000000000 229725036 145391991 36239679 32259237 1000000000000000000 467440938 143025517 362549603 377974234 1000000000000000000 435411449 222675338 409708505 140222983 1000000000000000000 892816492 890705734 723796354 670332555 1000000000000000000 113526112 65285973 57462134 20681555 1000000000000000000 776884535 78501053 752788171 761941466 1000000000000000000 482589585 275389832 444067307 204456583 1000000000000000000 35050460 13417262 9850941 30490058 1000000000000000000 633608948 270128361 580188566 65386023 1000000000000000000 534657883 148608944 519310714 162046019 1000000000000000000 527617944 400828499 183982332 145076944 1000000000000000000 903624750 725819101 365573357 612714048 1000000000000000000 606602442 526568871 373075975 240656027 1000000000000000000 737111089 296819678 292957392 52092404 1000000000000000000 441988607 207329364 382449690 38629960 1000000000000000000 182847560 8347944 177595994 65233455 1000000000000000000 477010841 198182222 122856650 125604283 1000000000000000000 391344852 129005059 71335628 44343395 1000000000000000000 691148572 205362357 647529725 185933361 1000000000000000000 117948795 79444231 94923957 96956866 1000000000000000000 512969128 79956440 255245558 483857214 1000000000000000000 13594551 7656761 12999794 2270761 1000000000000000000 667385772 561969619 459535617 386118388 1000000000000000000 214341264 79042862 59104266 103224855 1000000000000000000 433910156 250863951 354077036 305796973 1000000000000000000 96017060 71406551 36864961 70479573 1000000000000000000 868879757 422928564 165227409 566442830 1000000000000000000 144774360 130888138 56330370 90105225 1000000000000000000 591071304 512863554 336351973 184906154 1000000000000000000 914480453 49982114 418614808 409008805 1000000000000000000 428537421 276643533 123850996 120358939 1000000000000000000 164557906 117705251 150391880 137683362 1000000000000000000 396863666 16019629 170406069 174786171 1000000000000000000 596954382 430833679 123474622 121084124 1000000000000000000 893744055 633295384 423415906 262382119 1000000000000000000 793500212 739530093 335955766 513604128 1000000000000000000 953291753 943061632 767831682 170438027 1000000000000000000 684951668 432494440 116324643 378742888 1000000000000000000 403046436 236800344 73633075 297361059 1000000000000000000 591603543 68257996 390160338 169839852 1000000000000000000 277075363 123987602 130642672 54323098 1000000000000000000 999537559 263531798 339387755 245906213 1000000000000000000 794575800 258726343 489710975 492655224 1000000000000000000 713260536 712359187 615690125 535850326 1000000000000000000 172539614 117886286 64598609 93326500 1000000000000000000 600932189 480078776 248433154 260278946 1000000000000000000 222888233 68539743 70950736 158104018 1000000000000000000 97995646 64919467 47358920 31786933 1000000000000000000 664256923 278501423 598309071 450004286 1000000000000000000 635187908 474544729 102698237 448688878 1000000000000000000 827957760 623096291 790711208 424130646 1000000000000000000 703673970 619746648 418561534 390039773 1000000000000000000 187673210 50496138 83941765 120684536 1000000000000000000 946789654 254506673 674485128 34926326 1000000000000000000 748639773 618876486 270558391 554633998 1000000000000000000 624075422 463712943 503901152 242483114 1000000000000000000 242646714 54985296 142750770 143632818 1000000000000000000 71425466 10822572 39664499 2228875 1000000000000000000 966376990 114139181 126428615 819375873 1000000000000000000 337280873 55416375 11371371 141913805 1000000000000000000 615972464 124937867 122242635 449859347 1000000000000000000 341041683 40482297 113865622 332695288 1000000000000000000 342170749 34203164 258874416 244603064 1000000000000000000 155897085 52384027 27057869 28777282 1000000000000000000 873573402 418552011 22770662 483223036 1000000000000000000 445514136 171221911 113421631 280897759 1000000000000000000 329201147 65496593 52717466 226524847 1000000000000000000 328375085 223692347 183613305 68888575 1000000000000000000 675446850 371351872 329430453 195300228 1000000000000000000 141008913 130673162 108783134 40106174 1000000000000000000 308104035 180843869 77204723 120017468 1000000000000000000 90099656 87852685 72680030 39707080 1000000000000000000 473673710 459010526 360922493 461269783 1000000000000000000 298159001 78714213 296655629 112932846 1000000000000000000 310875 219247 47040 293558 1000000000000000000 945310126 209500139 205315398 27513726 1000000000000000000 962686558 227423440 492013429 884857943 1000000000000000000 259175602 170477096 142181390 173418505 1000000000000000000 31978305 10833081 29636770 29387581 1000000000000000000 161056692 103119705 109837514 56429015 1000000000000000000 2423058 1583727 813299 1091020 1000000000000000000 788544998 445195426 373653354 179192180 1000000000000000000 700208062 573351108 380456810 262341685 1000000000000000000 700312763 301066122 477549011 376993729 1000000000000000000 573626789 168750029 523872499 148915590 1000000000000000000 639302142 83244417 141572115 179289732 1000000000000000000 653711040 582395166 270671453 170123839 1000000000000000000 647011369 514128129 436745347 459478877 1000000000000000000 320288183 233228743 281348871 40395194 1000000000000000000 876836894 106225707 838599551 510616780 1000000000000000000 670860342 634301984 103594490 622671923 1000000000000000000 108889856 62869706 68342852 76640428 1000000000000000000 614991462 80785851 162202308 564934752 1000000000000000000 185442754 155951921 93257491 108696775 1000000000000000000 392318721 21028976 216948984 213589693 1000000000000000000 671080358 58872052 300114407 240620947 1000000000000000000 22403095 19609510 1548301 15014231 1000000000000000000 98890696 45340315 70276274 57570817 1000000000000000000 147875013 137258803 125226278 127870127 1000000000000000000 856919435 443272796 801748527 563874908 1000000000000000000 175450185 161496622 24704055 119066966 1000000000000000000 613614158 311964219 122875450 120223024 1000000000000000000 221820844 99612840 126179375 50872250 1000000000000000000 94058500 89444118 43152281 70538443 1000000000000000000 270707186 235702099 79226418 203592829 1000000000000000000 653720651 555904955 315318114 51161280 1000000000000000000 662097320 112055268 58052216 300203172 1000000000000000000 908860219 682793681 178805615 317588198 1000000000000000000 904274076 323047039 428935709 312625635 1000000000000000000 627894591 611177238 359441778 559653179 1000000000000000000 898551801 844453189 45417566 76785269 1000000000000000000 364898663 65977887 300374931 312111448 1000000000000000000 519211462 214322109 70225992 86429600 1000000000000000000 923701973 310493425 85899900 359393137 1000000000000000000 932785514 448093095 555362510 406251624 1000000000000000000 855450883 157750717 237917481 150992103 1000000000000000000 739658783 475130946 420021364 591180756 1000000000000000000 529258527 495307971 57776420 455640051 1000000000000000000 294211621 291422731 97272380 158849242 1000000000000000000 912665419 196329012 553853478 786492201 1000000000000000000 528446870 75243027 156534669 415004099 1000000000000000000 857744137 593747688 58561729 237296198 1000000000000000000 674307504 198403858 344819969 136549283 1000000000000000000 10983838 171310 90179 1633162 1000000000000000000 482393938 52317621 382208904 375525652 1000000000000000000 597559394 59749181 199152146 59968712 1000000000000000000 484440571 94383323 377447171 231005662 1000000000000000000 158520989 82194929 118900399 23155071 1000000000000000000 166437365 104615074 103676640 105729574 1000000000000000000 287311910 78217530 205271947 72781428 1000000000000000000 630428518 252192040 481450117 419344000 1000000000000000000 500546436 257481534 202498999 14758046 1000000000000000000 620697145 387206258 99990306 349685528 1000000000000000000 550756969 439409116 375271763 325196507 1000000000000000000 634115265 91090242 22586239 138454141 1000000000000000000 644451476 441501536 171391408 485262590 1000000000000000000 76047591 27847158 40419206 70530399 1000000000000000000 634827821 356081657 50168304 330131819 1000000000000000000 649960554 386127869 140568672 432322980 1000000000000000000 231260908 181400311 48221164 172827835 1000000000000000000 746848737 436961412 253502799 9466346 1000000000000000000 799164237 712717372 352564321 697583175 1000000000000000000 828645210 814105458 600605062 284583250 1000000000000000000 851267865 403037354 813492957 748608547 1000000000000000000 523841937 22305779 246277840 192053849 1000000000000000000 848187644 511424534 192936704 500883013 1000000000000000000 727738414 380469373 644181677 548767239 1000000000000000000 335755606 175281495 313054361 306531542 1000000000000000000 839977137 799679320 388975662 62244134 1000000000000000000 976134268 832664518 681386948 176992398 1000000000000000000 833235063 760437524 546215853 449170273 1000000000000000000 527266586 177021586 225453948 260440460 1000000000000000000 234663662 162533088 54325398 106512516 1000000000000000000 412520563 233228711 320432648 193787595 1000000000000000000 327350471 285091133 197451143 193531458 1000000000000000000 943470611 846988199 704826259 841490965 1000000000000000000 218792861 182580440 216265912 23332357 1000000000000000000 7451511 2990639 3373813 1028213 1000000000000000000 101609382 66527915 32155836 75916832 1000000000000000000 812133553 568431624 56393450 606298069 1000000000000000000 686770594 563009810 135489295 646086944 1000000000000000000 230869285 217711936 35899171 90341152 1000000000000000000 198606882 20481317 195720095 60854219 1000000000000000000 708965210 671356561 551715587 484490592 1000000000000000000 938732974 883090000 935601722 659907765 1000000000000000000 467135830 40509997 143428367 150178664 1000000000000000000 629240490 513826848 339346976 3624238 1000000000000000000 500094623 78074274 342854291 132154430 1000000000000000000 321970428 147382875 284789249 65554907 1000000000000000000 887278887 837960579 358097758 8586109 1000000000000000000 15302783 8260458 2483071 6709873 1000000000000000000 986600521 778403413 226885 368301659 1000000000000000000 395892435 304178392 145979163 133273535 1000000000000000000 958686221 816225724 340106149 430823952 1000000000000000000 527695339 164350900 290518621 393238418 1000000000000000000 893164830 677784195 734829719 258857736 1000000000000000000 808792538 515401083 81360397 420280189 1000000000000000000 280395619 227111591 249941553 237228456 1000000000000000000 647457872 58733248 425198271 120420754 1000000000000000000 232813133 193379652 103179435 50254429 1000000000000000000 145169689 16988330 68834380 47446163 1000000000000000000 833064259 132625565 526085646 631873569 1000000000000000000 598079180 513189606 515905075 126203322 1000000000000000000 393775376 185218636 176083645 300471821 1000000000000000000 865392372 416652275 674373029 196183279 1000000000000000000 678126687 404314821 285993230 216525154 1000000000000000000 229210139 65455984 110620222 22878894 1000000000000000000 988290776 60757808 117751010 661965423 1000000000000000000 913524412 772848730 113402894 561343996 1000000000000000000 811069752 315921333 256248307 68479490 1000000000000000000 727954232 233461010 617545203 502027171 1000000000000000000 360463879 247059015 187583815 330855504 1000000000000000000 616688881 456643174 247628975 262623502 1000000000000000000 366422165 34985683 297419984 94504912 1000000000000000000 931906449 906077712 744904912 200421523 1000000000000000000 103885132 15058284 8853468 37365131 1000000000000000000 655007686 249181405 548521619 92007621 1000000000000000000 948405503 64902171 810812625 184322545 1000000000000000000 342996881 156066486 115260935 167376354 1000000000000000000 307321079 35946028 49436269 17034739 1000000000000000000 662648214 405606628 388903786 242482386 1000000000000000000 710623147 656592562 260487213 345270280 1000000000000000000 498442382 186586161 86793394 65867204 1000000000000000000 332787222 225264857 120831689 286128020 1000000000000000000 989268234 191638296 348574795 415900433 1000000000000000000 366462691 353761628 87472920 332836610 1000000000000000000 92195270 46064282 69810772 65018751 1000000000000000000 231009224 209977635 206666981 97867132 1000000000000000000 102764607 28132678 68142061 97167520 1000000000000000000 632764856 216847681 52421038 206622223 1000000000000000000 397858370 217617290 43193908 158470475 1000000000000000000 369882647 294598052 282092259 275533246 1000000000000000000 835581462 254307257 571556996 781350562 1000000000000000000 777058361 587090878 274209876 450343405 1000000000000000000 126325678 79134020 106603875 65436647 1000000000000000000 163258800 25782535 15468170 56315402 1000000000000000000 878178895 225621884 703815204 564728518 1000000000000000000 336864222 302227870 122703259 255756049 1000000000000000000 481466002 335559171 3411085 424985366 1000000000000000000 243992650 18535652 72439253 75801419 1000000000000000000 172337504 170069832 74190820 33271662 1000000000000000000 237533300 215343602 11904183 84475193 1000000000000000000 932757436 449586455 332028590 317516567 1000000000000000000 891067203 349792769 43435473 207886429 1000000000000000000 733194654 415441046 406720100 566525886 1000000000000000000 679515274 646576812 400809356 152280731 1000000000000000000 304675615 211195563 146380029 100954198 1000000000000000000 225246125 136614931 159849288 123754384 1000000000000000000 940023050 387644491 48814886 701487005 1000000000000000000 260437763 210416114 93616079 7137730 1000000000000000000 722339037 594549570 52617138 173501530 1000000000000000000 738652669 645619154 609399631 63674387 1000000000000000000 956526366 681981843 524401088 932891929 1000000000000000000 348880751 152777579 180847482 110109490 1000000000000000000 528613904 22237926 285576402 260696388 1000000000000000000 915665020 825074571 864320096 783483216 1000000000000000000 861972136 73648754 73414816 222705424 1000000000000000000 772811038 237111391 635680503 569549636 1000000000000000000 470086751 165672280 39944542 390279174 1000000000000000000 261638435 191291049 145483338 31905524 1000000000000000000 433601174 352275662 337759605 150809969 1000000000000000000 799207581 95764646 722867676 699010039 1000000000000000000 888901492 861588947 84320170 715592596 1000000000000000000 6929009 3339743 3434691 969533 1000000000000000000 485280561 30411454 407344480 23411069 1000000000000000000 56933721 26043701 106231 12753978 1000000000000000000 367580835 177074482 145155880 254425693 1000000000000000000 7874189 272055 5907894 6318720 1000000000000000000 572662606 89153397 202847654 376535665 1000000000000000000 985243860 618458559 485447259 275741968 1000000000000000000 922499708 8117863 812698619 713221980 1000000000000000000 557518462 295465218 494122936 213275077 1000000000000000000 140967267 124310948 120220411 113778375 1000000000000000000 874293365 836675947 818110811 468334163 1000000000000000000 290604672 280751752 118920445 178418288 1000000000000000000 39506766 11480961 10847108 5725142 1000000000000000000 383086841 55987768 62780363 294917068 1000000000000000000 995098658 70479898 48935811 794586170 1000000000000000000 296965553 163976309 4953090 147455509 1000000000000000000 490021064 478830502 74272528 449605781 1000000000000000000 815955299 40411661 392969689 229429867 1000000000000000000 933306618 588310698 36335466 586389282 1000000000000000000 511999042 145517963 488860648 384037030 1000000000000000000 713866721 635492801 506839362 512372011 1000000000000000000 635190995 160297135 118884532 226032390 1000000000000000000 151085775 32518814 117539322 125768441 1000000000000000000 163444331 99223769 31581091 44756815 1000000000000000000 206880699 183305284 133277416 62191623 1000000000000000000 190642039 34485722 76481314 164057617 1000000000000000000 863677536 652408952 780438597 724899731 1000000000000000000 963417559 616628048 711742906 151324252 1000000000000000000 42554941 17905704 4320377 18449838 1000000000000000000 294779416 110753084 266721154 78648447 1000000000000000000 681974802 442925409 24479242 453994260 1000000000000000000 353941395 335108016 85777538 105014764 1000000000000000000 528031336 439279259 473249476 134979270 1000000000000000000 771338228 611272701 126452645 145976220 1000000000000000000 686560724 159638387 634441366 368463977 1000000000000000000 648227277 135930964 206224932 57000497 1000000000000000000 262198144 220615466 10857519 27292144 1000000000000000000 164476860 56956552 24118959 130335611 1000000000000000000 18887186 13253320 16402243 4598592 1000000000000000000 717429664 320822822 514213084 627898362 1000000000000000000 184859445 78627661 44805467 175532111 1000000000000000000 776528862 318380677 183336126 577424344 1000000000000000000 708330797 109424173 686705611 540353915 1000000000000000000 871300243 177216414 821246614 108177386 1000000000000000000 505387915 288302453 496103019 7094844 1000000000000000000 426684501 263407499 59579710 117201353 1000000000000000000 866676946 173432309 619872662 24503822 1000000000000000000 140760533 54222279 307132 116847675 1000000000000000000 77117667 68950407 64195052 23887222 1000000000000000000 618114876 233188801 54333207 177437784 1000000000000000000 255450943 172079822 93768709 87960713 1000000000000000000 424158918 382201231 408484158 297096196 1000000000000000000 883961951 597595593 11152018 706530570 1000000000000000000 176503386 138371384 46007065 9345124 1000000000000000000 682136957 323422571 493311204 125258230 1000000000000000000 227624671 100042527 214301448 26237621 1000000000000000000 677803639 230389363 280493221 29574472 1000000000000000000 71705592 43436181 53139220 42629315 1000000000000000000 8569654 3801751 4466148 3507236 1000000000000000000 454290329 41312938 360527639 22731004 1000000000000000000 328876551 302443885 14948338 228092203 1000000000000000000 55476054 28384342 3954474 45486513 1000000000000000000 116053803 113533628 46206805 76940145 1000000000000000000 695019099 8482141 520354651 179872569 1000000000000000000 283385292 282852356 224601846 71480529 1000000000000000000 293959648 102877225 65102654 176844005 1000000000000000000 527258221 159109271 312206464 506710387 1000000000000000000 153687850 32880956 15226390 76845874 1000000000000000000 293684333 209120345 132390328 154237336 1000000000000000000 850020085 363535850 104953922 275973128 1000000000000000000 830019981 382078143 435575695 582703647 1000000000000000000 160617716 71062456 143958932 43523336 1000000000000000000 917828664 121894720 323827911 678478622 1000000000000000000 986189072 968164121 983945466 686310558 1000000000000000000 458073628 139881290 400065249 199628310 1000000000000000000 630606360 467943950 537418015 553306589 1000000000000000000 204406457 143503691 79998824 174283900 1000000000000000000 155431601 73410145 120181279 108821155 1000000000000000000 433390394 427106921 227962173 159953433 1000000000000000000 126731959 35045252 55700336 81409942 1000000000000000000 571887461 402714265 392188217 76881752 1000000000000000000 123421287 68090733 75361183 80244690 1000000000000000000 56855027 48312417 31573839 49900319 1000000000000000000 476317556 373590245 160491636 82085277 1000000000000000000 889175521 380632043 135081850 403476017 1000000000000000000 475169810 414635633 206872918 177996939 1000000000000000000 45585853 40201802 39016774 21980172 1000000000000000000 119664006 118787251 43831054 115241760 1000000000000000000 860049555 522140766 535478964 403772383 1000000000000000000 816347497 665275011 472372019 347153415 1000000000000000000 163082074 162622282 9885302 152770853 1000000000000000000 77192376 71229096 39983482 46557405 1000000000000000000 559959655 110233995 544339551 253649192 1000000000000000000 600828945 252580785 137501669 78869794 1000000000000000000 22918501 8403449 17323263 4778269 1000000000000000000 4845981 2876944 2396449 2477130 1000000000000000000 825448649 281691382 780906208 317035520 1000000000000000000 328663629 176018006 150212398 177311326 1000000000000000000 832283143 60015900 571393165 308744664 1000000000000000000 422588245 399131431 60374857 209032390 1000000000000000000 940549745 767444028 773810777 720657806 1000000000000000000 718111199 78115338 690807651 455212883 1000000000000000000 840175116 20887275 766943101 492671537 1000000000000000000 758064367 607488737 158431701 486349631 1000000000000000000 404303827 233327937 144639092 58984425 1000000000000000000 470870592 387850534 351083891 377242699 1000000000000000000 163331674 15073714 123959569 110173955 1000000000000000000 806931779 774589920 99131468 165621666 1000000000000000000 471791345 327607085 19020011 122737310 1000000000000000000 821307883 473859295 176889849 264182667 1000000000000000000 304916786 132543383 72632914 115620008 1000000000000000000 990730280 743450581 604796018 723960764 1000000000000000000 731682222 97321801 476211353 520344551 1000000000000000000 495828738 361798958 433888201 455865503 1000000000000000000 353557544 75171391 159011866 87527008 1000000000000000000 128260291 84206990 60656471 64005031 1000000000000000000 317785429 50423735 6076704 258262039 1000000000000000000 20908707 7459533 11617463 14242279 1000000000000000000 265881379 64854939 222116547 169669704 1000000000000000000 710168141 655731845 607523100 14093181 1000000000000000000 50513200 21313207 32258821 35625339 1000000000000000000 204279202 79781049 58835236 110299015 1000000000000000000 593255528 267177250 364117993 573492334 1000000000000000000 214748331 59426828 154403862 153927460 1000000000000000000 831578369 584046816 827803704 572998282 1000000000000000000 986642795 594412670 978826228 686023349 1000000000000000000 547499028 101238982 175333662 146506969 1000000000000000000 201115992 144957189 159869497 87823789 1000000000000000000 709745971 173841499 148830362 389216621 1000000000000000000 128677282 72083337 112566114 92635775 1000000000000000000 407373582 382249000 15280929 339627961 1000000000000000000 682921918 494177469 592990710 85732323 1000000000000000000 741970892 52388841 81726058 242817896 1000000000000000000 801383947 506293828 431501448 700435013 1000000000000000000 666684992 514482870 402071927 181788886 1000000000000000000 711374670 294146901 564448796 138831182 1000000000000000000 515393061 335539793 361714139 144015224 1000000000000000000 645402161 224561659 303688128 414146216 1000000000000000000 890329237 228927386 142909171 169340807 1000000000000000000 815363092 44250932 265489994 814332074 1000000000000000000 466420706 334867903 448754615 233915282 1000000000000000000 425958793 29931550 254010459 337356207 1000000000000000000 405175728 266093049 222370872 46289722 1000000000000000000 744112532 606589773 346223048 731996767 1000000000000000000 780821268 615774706 471928921 662498967 1000000000000000000 50180564 24744404 34253828 32218331 1000000000000000000 919962030 646918003 389084138 649264092 1000000000000000000 789598284 268089573 653943540 51844269 1000000000000000000 198571125 25611142 113945086 67453735 1000000000000000000 761481109 14842220 127654240 648667367 1000000000000000000 984273125 162239589 154504175 1630276 1000000000000000000 281315874 73177928 249641051 158855993 1000000000000000000 840779217 238147812 206065861 385410925 1000000000000000000 741755949 663634398 596613839 112714606 1000000000000000000 758776677 380070303 631200798 752677520 1000000000000000000 833885047 517278097 695858291 50950808 1000000000000000000 683352448 33634838 680320503 431137521 1000000000000000000 361241295 198782937 89153227 3740342 1000000000000000000 708640066 258865846 475965847 261571254 1000000000000000000 958554544 636785170 764733068 259240270 1000000000000000000 578965832 68947767 266499397 42610489 1000000000000000000 171278334 170740021 88050571 107025134 1000000000000000000 667025163 192322778 561334461 487590722 1000000000000000000 414163827 202828542 80846589 310810150 1000000000000000000 358345945 101609083 113282155 183990685 1000000000000000000 302235743 221452335 184505996 121370142 1000000000000000000 526797567 243400918 319012038 378908457 1000000000000000000 332070990 319729735 83634948 92992038 1000000000000000000 921992759 658454209 876595686 658740972 1000000000000000000 520875116 231922314 79380631 301296974 1000000000000000000 731705103 27272395 568106189 151158333 1000000000000000000 21715897 5021907 13943580 20882070 1000000000000000000 840606305 571032177 522887116 824613119 1000000000000000000 755943709 236683991 544585686 624310035 1000000000000000000 773133313 642054870 145553077 83928674 1000000000000000000 392151783 184711830 307223833 277102646 1000000000000000000 78673923 77978871 76908419 58895486 1000000000000000000 525305043 27479850 58301262 268334832 1000000000000000000 150165295 83723262 48744034 149757431 1000000000000000000 54212086 16721469 26617425 31010224 1000000000000000000 881468050 111668185 638469098 138641385 1000000000000000000 944692918 13081612 97961032 554617348 1000000000000000000 352842644 10531899 318293207 171201076 1000000000000000000 532808361 418744053 67702445 10731308 1000000000000000000 763333129 172081562 268925883 197259033 1000000000000000000 481707582 205953578 27241492 234088696 1000000000000000000 56663072 978700 49690690 32030820 1000000000000000000 661453443 435118576 341508738 560372118 1000000000000000000 376090473 216477159 189565636 354886520 1000000000000000000 250237686 12468699 184552279 140478320 1000000000000000000 809166250 480812550 760666714 437676106 1000000000000000000 976064956 190701599 355242264 456148663 1000000000000000000 844420032 152071272 110616755 25658396 1000000000000000000 603108761 519096607 584084432 133791138 1000000000000000000 500066815 494093674 496199619 493085539 1000000000000000000 646485097 181196543 440720891 38829254 1000000000000000000 934213149 537573298 637399415 670432483 1000000000000000000 241583995 102215020 170335160 35973208 1000000000000000000 473821927 354233851 319336660 122417006 1000000000000000000 572705875 56117597 463748532 218250148 1000000000000000000 25769121 7265366 10601850 4053089 1000000000000000000 785336593 572713880 539891466 593766476 1000000000000000000 511545239 474700616 473652423 218282469 1000000000000000000 931533380 294338361 845850856 114140912 1000000000000000000 877063127 660387415 143331916 503853465 1000000000000000000 439012325 384508793 94759905 249985966 1000000000000000000 56964759 6788202 16198500 26254019 1000000000000000000 40005852 18751648 11176415 19748705 1000000000000000000 211184112 145956044 137843958 7451661 1000000000000000000 912640929 95140110 727938380 897901846 1000000000000000000 136105275 52435577 128344219 71332593 1000000000000000000 825546475 781821401 480730737 818092792 1000000000000000000 373732547 336985848 209970772 305368572 1000000000000000000 391490729 318556459 139975408 131820258 1000000000000000000 804307248 264660852 663703695 253448590 1000000000000000000 9558642 2087713 2417177 6078611 1000000000000000000 530252254 247822133 107346481 345448392 1000000000000000000 101886394 59862418 3800081 70136515 1000000000000000000 253200034 20195366 171441016 103290689 1000000000000000000 869935068 621611735 668632775 50916359 1000000000000000000 85035804 37231327 84933671 2719149 1000000000000000000 705403088 70962541 692321924 636969222 1000000000000000000 767799711 210271767 145664976 628404667 1000000000000000000 432238823 37256404 393830770 159431157 1000000000000000000 805389058 376039537 451042723 93229589 1000000000000000000 632616072 217694005 473835015 75933470 1000000000000000000 499856968 261632772 26136599 177138177 1000000000000000000 763259702 321033215 438157990 335102306 1000000000000000000 301693521 214399754 73787036 216883025 1000000000000000000 247996032 143206879 65119772 78418748 1000000000000000000 323227802 190232180 262978627 82791199 1000000000000000000 790716487 110078591 434556516 4083241 1000000000000000000 967652868 208438298 801271619 11027800 1000000000000000000 584424734 559636115 399584203 421280184 1000000000000000000 748432554 350275173 574635049 551187333 1000000000000000000 74988227 47064975 55797409 67902522 1000000000000000000 609956851 542386569 485322769 268282791 1000000000000000000 225695187 6443762 12848387 14588208 1000000000000000000 785448207 594236441 723877817 30392517 1000000000000000000 925420182 176632405 704920333 33963446 1000000000000000000 332984660 304000099 73566218 197845886 1000000000000000000 525890575 278127750 298835718 493997584 1000000000000000000 216298024 133787656 41349536 98363224 1000000000000000000 150118015 15803404 39929599 102869863 1000000000000000000 999529581 97697514 130107750 853934144 1000000000000000000 873324340 788383330 776456239 71674099 1000000000000000000 245265971 243865748 80519945 72573354 1000000000000000000 101691634 58053197 1515805 41934705 1000000000000000000 812138895 471620092 17959025 608783550 1000000000000000000 518375223 81449674 460739685 284440183 1000000000000000000 544464391 53995789 362124403 530516064 1000000000000000000 608554978 331458578 263771814 66102478 1000000000000000000 351129588 341527602 172625699 69532602 1000000000000000000 81897685 49293724 81872407 22950545 1000000000000000000 767916402 243062317 576898148 687828757 1000000000000000000 41632390 4548114 3857959 40693663 1000000000000000000 336530663 235421984 85168607 226503654 1000000000000000000 276283616 185401081 270081351 87912563 1000000000000000000 343348090 101530275 108229938 233534129 1000000000000000000 735508031 107339867 472601620 69946366 1000000000000000000 542604586 69382611 188980775 304468563 1000000000000000000 649213716 418331314 392880655 156584115 1000000000000000000 845891514 302454965 591559033 582687928 1000000000000000000 2194291 1555803 1023887 1612055 1000000000000000000 974835570 691484986 365472388 951403596 1000000000000000000 428142061 34217263 284208532 31845051 1000000000000000000 241134131 173173900 28828458 212792195 1000000000000000000 343047517 247017342 108246754 177253159 1000000000000000000 150872019 78813932 13474684 99445667 1000000000000000000 200173773 28600617 124335102 163966208 1000000000000000000 409162340 260133260 224185648 225396756 1000000000000000000 772516874 760634162 607924946 620737383 1000000000000000000 180774033 108610121 16669009 46631056 1000000000000000000 853218951 202326356 651178085 163095051 1000000000000000000 643920168 143722422 445496034 225565932 1000000000000000000 475532097 341889166 47006675 423790004 1000000000000000000 449625085 307431206 158149272 82029589 1000000000000000000 47375664 9523420 15822780 8063948 1000000000000000000 531036058 56866238 450394525 44930113 1000000000000000000 671428980 346638109 447953726 69963537 1000000000000000000 146595743 40712808 71927354 34699470 1000000000000000000 875390713 605564057 625920942 626354750 1000000000000000000 671422577 93693343 3074349 520465921 1000000000000000000 20905855 2669621 8937198 17652572 1000000000000000000 39813152 39440824 36893822 9920250 1000000000000000000 823153279 451144854 512732898 5504014 1000000000000000000 1231057 1186197 1183104 153017 1000000000000000000 330407728 304422992 236328339 309936042 1000000000000000000 2977972 2553271 233466 802108 1000000000000000000 751071865 190516168 387351893 744506632 1000000000000000000 785137302 338706053 460855278 322217475 1000000000000000000 399240070 350354469 241405400 26770257 1000000000000000000 365822903 53352939 49832384 217775501 1000000000000000000 241957238 211121984 195912868 219975466 1000000000000000000 510078926 263249798 302945991 203065346 1000000000000000000 647441488 479587993 343114881 553228234 1000000000000000000 603707924 160073206 246358753 272804892 1000000000000000000 518525665 138378058 482525368 143784497 1000000000000000000 639209697 443582780 178324414 377299862 1000000000000000000 725208319 307391566 286298137 630617005 1000000000000000000 380467982 295196339 370302204 240942835 1000000000000000000 250869622 76056354 164724139 89820824 1000000000000000000 241664649 221406607 134697550 216075183 1000000000000000000 936415648 222171294 75825064 60364258 1000000000000000000 192661808 61822613 39695086 119763459 1000000000000000000 41219539 35840766 25678847 39427401 1000000000000000000 291841610 141117743 215037403 272302444 1000000000000000000 47171602 31046126 28300307 12366901 1000000000000000000 477923923 319963717 21183711 292539745 1000000000000000000 263312760 94368701 54050005 36453349 1000000000000000000 299160529 298285883 176243943 70207152 1000000000000000000 486727945 64582964 261766004 375431298 1000000000000000000 517963723 483010204 51940213 71521603 1000000000000000000 694151645 482508028 615764491 121919385 1000000000000000000 961128244 200439429 273665384 898111480 1000000000000000000 991178311 476589173 240949047 496031960 1000000000000000000 32683947 14744982 15102111 27523466 1000000000000000000 777712082 290566357 66177865 662164471 1000000000000000000 25833578 7068459 8790350 22254395 1000000000000000000 106921867 45544902 73910603 74858741 1000000000000000000 769619538 194683146 136304722 176708927 1000000000000000000 533240143 346250803 334374147 466933170 1000000000000000000 819711469 553265989 338342685 547665345 1000000000000000000 232686575 38066692 153744119 193964707 1000000000000000000 638396935 534262089 148763134 83251473 1000000000000000000 701990521 373756064 690247008 518151077 1000000000000000000 841183839 316577046 581716949 268618393 1000000000000000000 22907907 6630278 18491175 20096800 1000000000000000000 629643679 219984317 492917363 135822848 1000000000000000000 753894566 518533542 307562924 444248116 1000000000000000000 89222607 9106691 11888879 87599550 1000000000000000000 728057812 395308425 588728996 441129274 1000000000000000000 340920190 181574006 80112883 309888834 1000000000000000000 660378942 460653596 96350432 504964094 1000000000000000000 84674272 83009899 28331286 3176287 1000000000000000000 977022330 658628229 27223514 475387433 1000000000000000000 568692409 217638629 339188420 38135196 1000000000000000000 369750827 263121906 61996401 208088887 1000000000000000000 394608465 195366164 283265641 300215016 1000000000000000000 138393089 79150611 26181118 107198012 1000000000000000000 44388852 33585685 36960534 7684351 1000000000000000000 743159045 112102756 628913586 714957617 1000000000000000000 298145704 218667071 160749743 215627888 1000000000000000000 985135831 946293926 915385828 674084195 1000000000000000000 957453350 488305443 945944774 204612111 1000000000000000000 982027658 92102312 572525419 660970327 1000000000000000000 424196241 12185495 184884649 347901153 1000000000000000000 44141563 24408059 17437252 7431411 1000000000000000000 360217766 243162244 161498404 60565210 1000000000000000000 845437686 132049777 374653439 55913539 1000000000000000000 540874861 200363175 205431997 469037224 1000000000000000000 244907350 143318188 45683720 242538684 1000000000000000000 858180396 707315953 279069562 700032321 1000000000000000000 197803549 15813138 30585343 182815692 1000000000000000000 67939107 51586889 8675824 10888486 1000000000000000000 680789249 466336375 3687738 203259080 1000000000000000000 6482521 3271317 4651726 3911740 1000000000000000000 542923609 228204595 402190375 284502472 1000000000000000000 140137451 105876312 66462853 16403856 1000000000000000000 103023801 97090239 70251752 62081752 1000000000000000000 61443750 39840982 7886218 28906423 1000000000000000000 650701860 425062923 518353230 216805942 1000000000000000000 703626955 388661158 394131503 158417509 1000000000000000000 943336402 812236292 444234413 837471560 1000000000000000000 487987861 360658078 454538716 313150258 1000000000000000000 966801011 821147005 353320951 414918220 1000000000000000000 759184863 86006761 559946744 409587298 1000000000000000000 753322826 689013949 126700243 353672684 1000000000000000000 169123758 43439713 18177103 78268662 1000000000000000000 855247669 655267496 14546425 513133310 1000000000000000000 64477178 6970323 60938506 58328877 1000000000000000000 501789805 198434303 311382872 391984749 1000000000000000000 664582182 8900283 312481809 624639431 1000000000000000000 926587591 804467480 905660371 534668746 1000000000000000000 781380488 62033984 42066279 327874295 1000000000000000000 625033661 365728432 553862562 327604716 1000000000000000000 841292029 70261576 264884482 324930570 1000000000000000000 509882437 429080173 190275387 345368384 1000000000000000000 633755137 578969700 578172485 45592449 1000000000000000000 703179806 486815704 701796984 81282326 1000000000000000000 967325181 685385854 255981188 465092892 1000000000000000000 856467584 240951595 470293596 218609099 1000000000000000000 492535512 22427652 18540822 34720364 1000000000000000000 941489290 82958572 726619791 532118193 1000000000000000000 245632050 208039364 77523396 239813004 1000000000000000000 717747623 123894292 65029835 103864086 1000000000000000000 902365215 55315605 754409360 181073706 1000000000000000000 342497317 303478284 335957345 140527778 1000000000000000000 997064221 204151938 595231892 213719866 1000000000000000000 903640587 353379322 449686486 700342542 1000000000000000000 801949139 388839562 114885116 132890794 1000000000000000000 267104038 220588320 172044092 32086721 1000000000000000000 246237564 21751656 244948579 146425799 1000000000000000000 966172199 402846180 183812983 467346312 1000000000000000000 271749662 183782845 193455927 110802770 1000000000000000000 415103508 39343999 37824374 38761955 1000000000000000000 692716000 184385729 282002163 96212392 1000000000000000000 241081369 231975805 9776277 113254318 1000000000000000000 556727610 524223275 280823892 170663072 1000000000000000000 979547482 149718528 626465987 575294501 1000000000000000000 206083226 93595034 23365839 190003917 1000000000000000000 979327474 616864258 444532247 651619070 1000000000000000000 582134459 177026580 220697315 192827530 1000000000000000000 273419720 220989572 173700981 41100105 1000000000000000000 235745952 59280396 220932971 113081166 1000000000000000000 498741975 275120833 375396345 115545774 1000000000000000000 661954082 271492671 184980649 123445335 1000000000000000000 770538073 575542511 747758573 121243154 1000000000000000000 104363497 34140961 24562156 18128046 1000000000000000000 696975609 528712529 419177567 180266801 1000000000000000000 616298507 564884359 571840425 21656043 1000000000000000000 776764804 317028761 604251438 693842163 1000000000000000000 852023136 684958939 723849669 88323587 1000000000000000000 848556361 186873792 523055198 440965830 1000000000000000000 405943386 273612650 298774667 398273826 1000000000000000000 339822852 23466513 21622873 240180794 1000000000000000000 87634622 78630563 31427185 54432773 1000000000000000000 934617486 578869928 846020330 589269294 1000000000000000000 44573262 6314930 35075814 21129197 1000000000000000000 501880394 275315788 145944089 401614756 1000000000000000000 488544457 212405053 477113978 389547674 1000000000000000000 133986815 88193430 92102890 97916545 1000000000000000000 688821628 124484307 145893729 674832970 1000000000000000000 221200243 31003444 129386344 72808098 1000000000000000000 584712513 14617420 29926494 451684697 1000000000000000000 56338184 26322995 38578994 37484516 1000000000000000000 958873793 791960502 388870137 570329298 1000000000000000000 157473679 6692284 7539966 107032683 1000000000000000000 829667985 222208355 276247128 124816718 1000000000000000000 297881877 143468062 130919709 203393741 1000000000000000000 161223372 83711107 123716575 42122499 1000000000000000000 235367832 175833403 69365518 92481102 1000000000000000000 708207389 348552312 398808093 498903772 1000000000000000000 729987815 727790291 154929509 555568795 1000000000000000000 414321398 194873872 181647701 387045973 1000000000000000000 109775100 7539818 46479913 43437527 1000000000000000000 956952059 898600688 443539598 290405994 1000000000000000000 284267575 236538507 68245914 172028609 1000000000000000000 754526918 334315646 148812145 246927968 1000000000000000000 238536303 142917725 238038360 235980288 1000000000000000000 321535684 199838999 287756889 35862196 1000000000000000000 448717663 119524723 271043994 135150926 1000000000000000000 136455482 116915836 87354510 60490450 1000000000000000000 837539744 778061148 155995463 109131961 1000000000000000000 456174215 115767068 258133461 190457049 1000000000000000000 988927832 485418340 626953716 564602499 1000000000000000000 578419543 325236348 296132900 468275745 1000000000000000000 767784177 497742671 168616333 366871441 1000000000000000000 722784225 720040111 623835463 587992889 1000000000000000000 728190298 497094501 106450879 369288691 1000000000000000000 438412340 173028462 213783311 219413239 1000000000000000000 583638868 137902652 295383125 540940895 1000000000000000000 203204124 101949716 170962665 99942268 1000000000000000000 306555676 11744841 21235711 3976440 1000000000000000000 516642886 127737334 25253313 175458580 1000000000000000000 95574780 8250153 18980208 19255565 1000000000000000000 327671250 299435726 289734382 16203274 1000000000000000000 324758016 7554116 76716104 182608710 1000000000000000000 95368491 17707441 52651545 80739389 1000000000000000000 46945870 1179066 30508147 4154270 1000000000000000000 206317096 21311318 13023866 86872649 1000000000000000000 111595502 45469064 34982477 68947841 1000000000000000000 371639498 301209998 101211176 365123681 1000000000000000000 33847705 23677524 18120474 33587915 1000000000000000000 309771966 98640860 222058059 44295110 1000000000000000000 320015882 266627365 128227578 298250714 1000000000000000000 454226402 257053640 367151985 108238463 1000000000000000000 539026185 195752974 288062596 171040384 1000000000000000000 487099987 35523163 408939980 92769750 1000000000000000000 58312975 27141865 38969696 24018548 1000000000000000000 703132181 115934625 592935791 494347123 1000000000000000000 83568751 28872806 2714116 18742700 1000000000000000000 114546103 33977131 88682669 32630551 1000000000000000000 494536868 373489017 461926682 301894350 1000000000000000000 171827253 38685499 48163634 62905008 1000000000000000000 706285126 432298184 484124166 54456092 1000000000000000000 509190935 329469749 419430907 173625648 1000000000000000000 259981622 88512632 187534253 82163399 1000000000000000000 591264995 407817979 567780337 232214477 1000000000000000000 130411668 89033820 47260088 56060160 1000000000000000000 830610677 481637260 462425245 676042186 1000000000000000000 261115558 180315042 155417743 206588523 1000000000000000000 556639208 197248535 141631235 397681401 1000000000000000000 775741375 118830044 454475556 198589795 1000000000000000000 486135785 332613672 54151493 465501833 1000000000000000000 902395146 508713932 328698540 9248023 1000000000000000000 390346368 200855444 358766269 186840459 1000000000000000000 462324872 269410715 187959464 237854947 1000000000000000000 701326534 442275496 592982635 138560088 1000000000000000000 732600237 146489748 39217750 233622526 1000000000000000000 1067133 252155 481466 466193 1000000000000000000 520008771 392159803 424546800 432192618 1000000000000000000 332850314 158813436 203968162 109294839 1000000000000000000 736496448 334641982 644596783 95268377 1000000000000000000 849922151 75408795 493026019 511950784 1000000000000000000 85409661 79142336 19431135 65948541 1000000000000000000 756529181 13723259 707289321 596490653 1000000000000000000 529102764 172957350 301973791 276005645 1000000000000000000 956714099 641515419 271757349 487168598 1000000000000000000 412284195 74069267 147384560 255532422 1000000000000000000 589425760 344588785 194004212 239231799 1000000000000000000 71693470 66224794 67622376 52703706 1000000000000000000 76947784 1842027 28265783 28618216 1000000000000000000 422207141 148138517 285258662 36505836 1000000000000000000 588820755 70772056 142447398 245579086 1000000000000000000 13062109 11836329 6800186 10807940 1000000000000000000 797888977 114281314 152824201 235852497 1000000000000000000 276296931 43759249 141612209 34126601 1000000000000000000 203657584 44075398 140653132 79613907 1000000000000000000 183651983 21597892 90241751 125691324 1000000000000000000 977843160 106010875 716655274 812067226 1000000000000000000 25004085 15742033 8628164 12717828 1000000000000000000 250006292 103627506 224687317 244928027 1000000000000000000 167913699 155282516 119789265 157199639 1000000000000000000 365670057 5813019 33772308 162729950 1000000000000000000 185720511 148257066 107833441 76909282 1000000000000000000 268293426 105419149 126417477 75213937 1000000000000000000 457218770 203336542 274728930 327379500 1000000000000000000 213976416 136319727 210332935 41283539 1000000000000000000 437103944 152068306 154823013 169770805 1000000000000000000 938302099 861737754 601747531 733504176 1000000000000000000 739822001 43580425 593608220 455772752 1000000000000000000 252413784 134644152 132624279 19325083 1000000000000000000 875535480 815340934 518135559 273316897 1000000000000000000 718725631 68870460 711342189 141154492 1000000000000000000 206720820 193966603 187294556 64675341 1000000000000000000 221015638 13167356 146244066 15958117 1000000000000000000 647376654 620888346 113991675 55841492 1000000000000000000 929281259 829336810 777928366 820466718 1000000000000000000 578548617 16060606 7028368 552999182 1000000000000000000 759392143 666060933 4981792 397577073 1000000000000000000 456585688 344647516 284823166 189645464 1000000000000000000 389519004 90708198 137097206 129060919 1000000000000000000 816447496 158472885 457170927 443006619 1000000000000000000 647639546 472785728 565342263 579793015 1000000000000000000 511202379 225120500 342578120 69698594 1000000000000000000 131098785 8352700 4981455 41410852 1000000000000000000 868268459 835815406 151693456 836371807 1000000000000000000 376988361 123381597 192821526 24469068 1000000000000000000 417614647 51995422 399743260 211206831 1000000000000000000 277725440 180006845 239175692 78370540 1000000000000000000 235720570 110732824 105440397 43781712 1000000000000000000 670595505 495197562 202020960 95611053 1000000000000000000 77285459 31847074 62431993 66838647 1000000000000000000 317092794 67642471 33867186 280412432 1000000000000000000 361730132 170662623 338814079 333163666 1000000000000000000 831417883 421319101 469267656 151750873 1000000000000000000 61739635 57337141 36437548 34741501 1000000000000000000 933770237 310405744 782463911 31191965 1000000000000000000 385783824 82836883 96151793 157498717 1000000000000000000 901558323 790747498 96913082 682782623 1000000000000000000 421104569 327905192 108595219 371611874 1000000000000000000 951664480 788767322 544446615 154767634 1000000000000000000 424514537 402974644 27893420 114111366 1000000000000000000 222070792 217642757 183042632 182340990 1000000000000000000 382454228 283835751 226714458 160562430 1000000000000000000 564327996 123814231 108931280 281781535 1000000000000000000 991776997 494264236 156828495 485765547 1000000000000000000 498006576 63272458 244247063 278153037 1000000000000000000 970987672 485257913 394766533 94402763 1000000000000000000 507715520 455324637 57101088 266043353 1000000000000000000 274181614 246798749 59005041 82559085 1000000000000000000 24594159 1193813 14600281 21410144 1000000000000000000 993302011 594061400 137635709 774838433 1000000000000000000 707240488 403557512 680943813 315487994 1000000000000000000 301477812 233453742 12612996 216616152 1000000000000000000 775853105 275488019 544355606 102490625 1000000000000000000 452517250 93848573 415490821 89740142 1000000000000000000 635381317 190810653 347182869 403728603 1000000000000000000 138888045 56012452 11246598 110390425 1000000000000000000 410544680 177793563 142289912 184891047 1000000000000000000 740875693 522041721 735198093 483082433 1000000000000000000 614176756 259093023 504310196 429347680 1000000000000000000 726470967 333088433 589838474 524849350 1000000000000000000 692697496 254471867 247605048 486338933 1000000000000000000 605240179 143114572 453189568 503292202 1000000000000000000 394632190 320129920 156715860 114197522 1000000000000000000 936861263 571686310 252749421 326433346 1000000000000000000 237833278 26827389 21361833 48484653 1000000000000000000 553901952 138051064 188240265 429298230 1000000000000000000 175177649 6174151 143195011 54874359 1000000000000000000 765071866 141188614 397496737 248276758 1000000000000000000 623440659 177861004 268866568 416681487 1000000000000000000 202779816 87164795 6413202 124344229 1000000000000000000 799562781 544372418 406836085 300218871 1000000000000000000 164362356 26238259 100680443 100722447 1000000000000000000 719180387 147853453 280453894 91541470 1000000000000000000 840160103 705123697 451191618 533923844 1000000000000000000 171034713 160604896 59993642 148080290 1000000000000000000 660380724 29009875 22396196 267250236 1000000000000000000 283864576 143902585 243362078 159190010 1000000000000000000 75448906 9218762 11270832 55757374 1000000000000000000 499815233 133046518 465062801 229829208 1000000000000000000 218930028 104529042 56758248 69562064 1000000000000000000 709968883 368931851 499102046 501985750 1000000000000000000 432301929 380446139 425729644 321555368 1000000000000000000 527311265 181723615 58114311 168752245 1000000000000000000 481943015 112518465 394381190 54895911 1000000000000000000 734002070 363630625 241235999 558717170 1000000000000000000 368948255 201912775 151122539 256057167 1000000000000000000 350883114 289151141 176764692 249694833 1000000000000000000 667147035 268796018 83561332 528671142 1000000000000000000 903669211 51854321 77510900 218739779 1000000000000000000 399822107 101993269 16330836 263489788 1000000000000000000 231295376 50557094 111505656 3637016 1000000000000000000 974608521 469517848 17089037 616646931 1000000000000000000 73961367 29951994 67786161 55376784 1000000000000000000 955277907 454039354 758852424 229497011 1000000000000000000 867779400 434987521 708486160 542064099 1000000000000000000 832589585 239704818 451255389 12658896 1000000000000000000 223854672 140307536 189380417 185001809 1000000000000000000 454531442 60170782 445097678 28273093 1000000000000000000 175216540 29286705 47670069 67894630 1000000000000000000 551108190 485765563 317961180 90562546 1000000000000000000 675051044 116763139 430160965 281806137 1000000000000000000 246861171 53683382 80989529 159579221 1000000000000000000 749999769 34630166 44492092 244968748 1000000000000000000 642592628 49934305 625446717 600810296 1000000000000000000 399430087 313024408 338198955 242718547 1000000000000000000 156774924 84041785 9999780 40985459 1000000000000000000 669821634 137263798 69555635 119750596 1000000000000000000 778733764 569480911 630609349 775944880 1000000000000000000 394079720 200865461 89617665 269565484 1000000000000000000 559569816 402206972 200315412 137112749 1000000000000000000 204909382 98715259 114019031 194265570 1000000000000000000 342233096 104809784 292347435 61129982 1000000000000000000 417042 90085 364106 129639 1000000000000000000 883757706 340015815 525545736 94524820 1000000000000000000 468199793 186505781 168822225 85333205 1000000000000000000 456750867 304462202 332142078 75596213 1000000000000000000 969167103 486635391 341623323 366502696 1000000000000000000 191553533 73195230 103758451 1036207 1000000000000000000 526541530 21028301 224049789 167007830 1000000000000000000 215061353 162437685 169769864 56515879 1000000000000000000 935773698 832228520 730663163 844856683 1000000000000000000 271169741 195950296 98640023 157397104 1000000000000000000 393717466 8270934 22721369 216888294 1000000000000000000 488831548 366500537 304571883 248900518 1000000000000000000 971883592 505839683 186506894 660805856 1000000000000000000 166068662 107571157 158648268 80160356 1000000000000000000 50855638 40927436 25472058 11313224 1000000000000000000 151724469 116621507 9169586 144885247 1000000000000000000 506065157 305274267 19557834 360264330 1000000000000000000 485712779 124809888 27635973 307597673 1000000000000000000 858744920 694253469 569191633 170778507 1000000000000000000 639485553 502104172 555305991 195042446 1000000000000000000 408945041 130633684 175780841 322745669 1000000000000000000 954077610 203711167 75276869 781083525 1000000000000000000 96715318 14323139 44795079 53769903 1000000000000000000 805075562 350729872 242133357 580929444 1000000000000000000 226512437 138783310 217643316 12754292 1000000000000000000 669166021 523220751 169586484 553781962 1000000000000000000 425379185 223301148 330460483 46468144 1000000000000000000 113966591 25531075 27850950 30837773 1000000000000000000 548318512 443090117 353338744 189734993 1000000000000000000 495159767 159774704 172961970 214982429 1000000000000000000 191801175 90599139 106723735 186983940 1000000000000000000 784942919 123916431 113111719 204106378 1000000000000000000 387941214 334025632 338664800 110981405 1000000000000000000 620239519 36499953 456195081 348758097 1000000000000000000 571251868 37742740 440796173 567915383 1000000000000000000 860999577 96620809 24648398 114980944 1000000000000000000 328410091 74297738 229043980 222874687 1000000000000000000 401635799 367929753 25746888 138009558 1000000000000000000 20277252 449343 294918 9821308 1000000000000000000 976223417 907236817 139662453 284977241 1000000000000000000 666519731 129448666 75740219 170893855 1000000000000000000 341100172 70960968 129021554 119789155 1000000000000000000 948596427 841732551 135407473 947427185 1000000000000000000 261096622 258407669 151792875 188874665 1000000000000000000 749792748 140307552 314917751 291328919 1000000000000000000 521527176 317241224 75657550 208974303 1000000000000000000 792361778 574847597 761741811 575743093 1000000000000000000 408422478 357822634 263135905 102559013 1000000000000000000 257757011 132577710 54299610 40558457 1000000000000000000 597438651 257523323 380193825 588138355 1000000000000000000 875153814 326714118 583921286 325763717 1000000000000000000 449349410 231098039 313107713 338073294 1000000000000000000 898641243 590795749 747924437 521335116 1000000000000000000 166992965 106625465 39313150 138977466 1000000000000000000 11385418 10545115 9546744 3653144 1000000000000000000 174617833 28885922 171586889 65756691 1000000000000000000 360206927 73726593 345725334 88903298 1000000000000000000 274190458 90793811 271286380 38586180 1000000000000000000 258881184 245466997 230995515 71128412 1000000000000000000 651762508 272918431 608212646 72294212 1000000000000000000 171228548 72483017 48642259 166151747 1000000000000000000 381583053 363708539 191253112 99174667 1000000000000000000 476935241 94814239 394352170 199967516 1000000000000000000 346340108 211362153 94468445 315666611 1000000000000000000 591795973 252628665 492820184 506033848 1000000000000000000 669195400 401817121 483122934 499142336 1000000000000000000 904001976 63958502 443047664 196162039 1000000000000000000 63471115 1275343 28640426 54249814 1000000000000000000 939428684 184181832 677932555 328322331 1000000000000000000 229937680 96681050 161960096 8124186 1000000000000000000 767881411 102874348 437805288 416761545 1000000000000000000 612752393 46200485 190095161 83723595 1000000000000000000 384443729 237386103 222583028 361593096 1000000000000000000 64999100 31183915 53794800 22240866 1000000000000000000 694470685 433078171 109832785 603050970 1000000000000000000 564877899 290853206 97568422 324283807 1000000000000000000 445736627 291906854 337267976 240032238 1000000000000000000 564189652 547376514 97351006 523287212 1000000000000000000 967438973 348457446 125123509 256172474 1000000000000000000 243416812 46120826 204130539 123213263 1000000000000000000 278604159 157924997 15401264 25855421 1000000000000000000 567741098 500510342 71033652 49336138 1000000000000000000 459695667 117692337 38335370 3196943 1000000000000000000 749478079 710889074 670700032 100327760 1000000000000000000 698228339 40759708 144930974 126444982 1000000000000000000 193579414 3386344 165705715 79176565 1000000000000000000 847718873 834368127 135687364 152243724 1000000000000000000 145929881 96465890 21361899 13845752 1000000000000000000 10281028 6859276 1534614 1036465 1000000000000000000 164728599 161422590 22314807 70725026 1000000000000000000 92493805 62992348 7034512 23585971 1000000000000000000 255945373 53218406 69998301 18330382 1000000000000000000 194945193 86137474 94392802 63059651 1000000000000000000 343252211 240117466 251018342 22781174 1000000000000000000 658821855 200727474 381843134 185508961 1000000000000000000 37118136 35568888 16059607 18437109 1000000000000000000 675287990 145506550 515100093 163936999 1000000000000000000 386963744 190080299 160738746 259805149 1000000000000000000 679518757 305138474 526623373 189745873 1000000000000000000 355629803 259683600 85982726 7443959 1000000000000000000 223933051 171667497 20499549 194862045 1000000000000000000 65005098 47256461 42506934 40603396 1000000000000000000 415849820 66554923 4655137 180144071 1000000000000000000 157820204 43597410 26965321 140013093 1000000000000000000 712101651 148048110 50031879 143328034 1000000000000000000 478307087 396389983 190640505 471094988 1000000000000000000 426708661 140270772 141289458 47332409 1000000000000000000 451875092 62117903 407372906 419611811 1000000000000000000 580938306 183317592 506295525 202552722 1000000000000000000 220508598 102102821 179439325 171769635 1000000000000000000 3032155 1919601 870300 91803 1000000000000000000 179377000 37626703 156597764 154880164 1000000000000000000 469498680 50820241 94157319 54343328 1000000000000000000 250511823 137498835 211920994 232923862 1000000000000000000 535205692 453627912 55738748 489745891 1000000000000000000 933923923 216386288 920365171 172735913 1000000000000000000 870185962 509304182 748644387 108462594 1000000000000000000 705496140 175049735 190856501 589787312 1000000000000000000 819736495 387423388 795968800 152050962 1000000000000000000 671332485 328436373 591695554 413004533 1000000000000000000 39801536 35918321 6446439 14304628 1000000000000000000 443192203 100898865 165155000 383635561 1000000000000000000 617458035 281896134 201004366 544439821 1000000000000000000 737498065 616361504 66450684 362187872 1000000000000000000 238960791 174128880 114473180 160178014 1000000000000000000 461545570 18983409 432895498 385328475 1000000000000000000 392873436 11101283 285077282 244504365 1000000000000000000 743218431 88972888 645262298 471537497 1000000000000000000 145795373 31598441 53892329 142429027 1000000000000000000 368726694 230560301 116617597 250767789 1000000000000000000 137059540 11050369 79473570 127997161 1000000000000000000 491229918 467206711 338958283 467544447 1000000000000000000 474203720 400287545 26831759 268552324 1000000000000000000 906152291 531040742 208800917 378530433 1000000000000000000 545629779 479125906 88061204 475692611 1000000000000000000 841731709 439055166 53039090 580037225 1000000000000000000 719465078 573079859 658526777 524907977 1000000000000000000 790701522 419045172 704703148 190458341 1000000000000000000 30735393 22214591 18674544 21223457 1000000000000000000 790665734 81129761 682824730 679300367 1000000000000000000 876503582 863033128 785127534 165892422 1000000000000000000 675557991 618752752 456874498 137799746 1000000000000000000 569545973 338771462 158565779 94605379 1000000000000000000 136943013 123705479 88931294 86719424 1000000000000000000 381287792 331714077 146868910 329671290 1000000000000000000 737747282 306561667 510621750 715618015 1000000000000000000 762428868 579998299 93615648 412781124 1000000000000000000 939618123 815607353 619379627 472349362 1000000000000000000 391202735 360471076 56457268 336877782 1000000000000000000 701139083 361292597 460204477 432594258 1000000000000000000 889853008 257719377 303480442 59164907 1000000000000000000 201935038 197218709 118144499 143756297 1000000000000000000 982758693 3375848 332509130 83952904 1000000000000000000 646687919 151687139 196483035 642018332 1000000000000000000 36072616 26184999 26887560 10834299 1000000000000000000 946087090 551807174 328028841 525401999 1000000000000000000 393305213 140400406 383578269 167080757 1000000000000000000 798380743 163671370 175564889 210232732 1000000000000000000 584650506 275608026 71133098 7680910 1000000000000000000 640143142 184469773 470309491 55679008 1000000000000000000 130389500 31297023 82309378 101009875 1000000000000000000 556180869 45803652 67943378 555448531 1000000000000000000 348824389 156233246 211967614 298994535 1000000000000000000 441675392 435448814 111683970 216927545 1000000000000000000 456402940 134493774 219743963 237167663 1000000000000000000 441609675 40900186 159691437 152507142 1000000000000000000 158653331 6728403 7042274 94734137 1000000000000000000 634712321 261362124 447547471 403738119 1000000000000000000 943247342 220747400 100121601 581676860 1000000000000000000 501194715 395878174 293299572 332223247 1000000000000000000 757673705 93369746 313031000 721666758 1000000000000000000 319577522 301194623 197731860 70941719 1000000000000000000 656058997 387757387 643368578 647152691 1000000000000000000 654623823 560733244 410282884 504542281 1000000000000000000 400975607 99441795 243718278 310414647 1000000000000000000 20412500 6364712 3783530 17373516 1000000000000000000 974380915 476462130 804824545 485938873 1000000000000000000 787238199 130165857 717500125 410366805 1000000000000000000 411545092 129079043 21813093 204179461 1000000000000000000 135519947 107547330 122594429 14432279 1000000000000000000 37078164 10996140 18538629 32727127 1000000000000000000 308147625 20729566 78417392 41703427 1000000000000000000 525304109 225850832 61930330 45412943 1000000000000000000 295194259 147370077 211763621 20170307 1000000000000000000 718098024 325222663 700976188 592804974 1000000000000000000 415099746 4426136 247119945 212111583 1000000000000000000 24743798 826554 2246163 17596761 1000000000000000000 891110056 277193908 70699119 46800539 1000000000000000000 411791812 273944360 310315051 269932809 1000000000000000000 667608434 62036822 625493846 242787179 1000000000000000000 94894385 18894195 26736269 75396131 1000000000000000000 405527216 205649580 361592152 400365744 1000000000000000000 924572017 719068613 769245876 301958976 1000000000000000000 803898467 644979033 683886096 66449437 1000000000000000000 827514826 146120800 444101965 309168397 1000000000000000000 50725508 48567803 34285835 31951562 1000000000000000000 410574672 79144575 388061003 269438573 1000000000000000000 577934693 218111869 206634756 245852329 1000000000000000000 956860449 49401980 36484208 186096965 1000000000000000000 901613703 57593165 671513310 204762656 1000000000000000000 621347094 306186360 436210048 329115589 1000000000000000000 278788439 44306097 189597771 55157549 1000000000000000000 851229057 271443935 535777008 490867711 1000000000000000000 45078981 42448815 23571373 23475027 1000000000000000000 15424297 13862283 2116265 12673484 1000000000000000000 731548153 699417528 24526564 240500029 1000000000000000000 962989211 307406403 903366733 380595214 1000000000000000000 993381958 401462283 733238957 81246101 1000000000000000000 255831260 32306146 146598637 185731278 1000000000000000000 625076247 548157660 98601054 278659398 1000000000000000000 457941141 316613708 63620903 122010880 1000000000000000000 921680738 447909021 140218663 479583316 1000000000000000000 539018349 468290851 533023951 91888577 1000000000000000000 354013056 317777254 316356591 284179558 1000000000000000000 398931793 188145132 361412935 236531825 1000000000000000000 380470637 368490841 33205430 192041252 1000000000000000000 754490884 453915677 694672892 191096145 1000000000000000000 942352036 598517851 140338810 161353703 1000000000000000000 126426627 10366538 118460072 18307196 1000000000000000000 952565746 43773396 67109889 36208341 1000000000000000000 403673370 170110822 145954426 233163666 1000000000000000000 966929985 681839803 722965249 549946200 1000000000000000000 292511550 191486822 72594052 79821317 1000000000000000000 867894726 587228397 28004155 73347444 1000000000000000000 853603241 40458177 544689250 394489261 1000000000000000000 482638624 333908027 231201619 404806555 1000000000000000000 406988361 139428045 68085308 318390241 1000000000000000000 932773559 396532984 723088571 803309266 1000000000000000000 230513798 163589006 186610471 143368911 1000000000000000000 910600963 762063223 900012437 539917867 1000000000000000000 333569652 230139135 219085850 225220478 1000000000000000000 180846964 106050436 120492093 169817450 1000000000000000000 818143135 521423950 505876974 745811677 1000000000000000000 454934546 408518629 359628783 191292729 1000000000000000000 59476287 57885715 55784455 43278053 1000000000000000000 5633884 4650288 5020779 1464098 1000000000000000000 334399179 101508388 256367002 13807310 1000000000000000000 606072293 311863204 553635547 130067716 1000000000000000000 489878162 210544987 31315770 54757491 1000000000000000000 908138265 636608528 135796904 198472139 1000000000000000000 310336694 207813890 31875325 56621696 1000000000000000000 383540302 70020493 4577705 187230554 1000000000000000000 187224045 159686946 180458271 105591480 1000000000000000000 167130172 122951194 46129183 5129137 1000000000000000000 661783840 139552414 534461693 437179864 1000000000000000000 873617962 110302248 82098754 358272836 1000000000000000000 176612281 163299183 95633083 9849810 1000000000000000000 956521741 480611055 373163946 202855965 1000000000000000000 60662007 16166755 14731381 30402649 1000000000000000000 134407222 21848388 54718515 113887934 1000000000000000000 731298813 212717390 6148207 124064570 1000000000000000000 789529506 736503622 704036870 197960893 1000000000000000000 612575289 557089745 213764564 600036625 1000000000000000000 25849030 2822975 21402249 14309149 1000000000000000000 538539521 384128382 130938641 459977288 1000000000000000000 303328187 184341212 43320502 32601632 1000000000000000000 608667068 68148745 55312846 448442571 1000000000000000000 917233665 396104665 340929372 326634078 1000000000000000000 435504446 292094103 172923699 407977078 1000000000000000000 509797091 113437889 234464318 43880511 1000000000000000000 537666606 46506594 358963915 429191438 1000000000000000000 253409138 92128991 104993747 115234290 1000000000000000000 111213584 5641607 87496483 107080996 1000000000000000000 815514862 34856544 668532179 212005991 1000000000000000000 234428481 5148925 189547612 47011521 1000000000000000000 415976248 289149016 311675946 352234474 1000000000000000000 261744456 88397308 112301393 30702854 1000000000000000000 484273341 290392376 99035546 107603472 1000000000000000000 138091699 129927985 80053010 28846424 1000000000000000000 84510677 72600439 60858493 38033120 1000000000000000000 242574116 58512670 49260776 153209548 1000000000000000000 973741128 899597790 497558441 248724993 1000000000000000000 282615625 157801094 183765334 3106817 1000000000000000000 53949463 38558497 23117604 24260059 1000000000000000000 627157962 108635155 614466939 427040857 1000000000000000000 541793800 470600881 70987786 284258040 1000000000000000000 301163618 59940696 161841027 283816077 1000000000000000000 601696842 255177993 518105420 235298122 1000000000000000000 254991591 105032964 10418000 98063966 1000000000000000000 956122655 374399986 352666112 155475147 1000000000000000000 456128774 54560809 342789755 131212663 1000000000000000000 156300785 113556397 66106533 17058487 1000000000000000000 523776377 164132060 458545846 31751032 1000000000000000000 611547059 287551400 508724300 120074196 1000000000000000000 420742952 320665763 75409816 300065221 1000000000000000000 757719836 668814282 596916803 10772861 1000000000000000000 840852568 438081306 512697175 307479264 1000000000000000000 603438997 536661843 301290803 218544909 1000000000000000000 639312262 503130116 542402345 303444601 1000000000000000000 557963579 50891458 47965249 323870849 1000000000000000000 569101773 443489786 274995014 485988915 1000000000000000000 859309558 534151280 671975083 806856921 1000000000000000000 685378157 491483186 1486142 450764376 1000000000000000000 440993584 131348481 152339050 192833098 1000000000000000000 74997239 67551396 59513673 61628015 1000000000000000000 27312303 13254255 15727683 1893290 1000000000000000000 770591457 137973294 493184993 408230735 1000000000000000000 698920091 264120072 181795148 571079746 1000000000000000000 269421523 224565189 232609859 160972075 1000000000000000000 284236965 56488246 279939769 120545702 1000000000000000000 157442011 17390282 9451998 13193459 1000000000000000000 858684053 344067305 521986658 231270415 1000000000000000000 762418695 462436643 221722677 128525997 1000000000000000000 92187998 85732149 38534228 40402092 1000000000000000000 45489456 11968862 11909840 29705992 1000000000000000000 197645125 182533068 50714484 111214165 1000000000000000000 119974667 67372550 4624358 71610533 1000000000000000000 377821458 173470401 288683304 340124571 1000000000000000000 36959447 21387948 27120829 7492682 1000000000000000000 29112478 7108955 21365683 8390212 1000000000000000000 203619167 27937231 171964058 111799183 1000000000000000000 73101493 47764074 6151521 40960118 1000000000000000000 823773295 60837537 774058847 603101490 1000000000000000000 648960713 366053031 563769447 491159078 1000000000000000000 939726032 405766090 197699976 564241630 1000000000000000000 174387134 173156530 7657142 66778657 1000000000000000000 952353079 259362321 608407339 214719593 1000000000000000000 212731668 76189070 195692188 160167176 1000000000000000000 318801470 45993245 309290577 308941161 1000000000000000000 799052944 576378655 437279675 120763505 1000000000000000000 51731103 45899163 10300241 31466550 1000000000000000000 965477254 804360320 741724087 449916436 1000000000000000000 429483986 177552890 346561008 421036570 1000000000000000000 926932405 367636975 624661593 3186309 1000000000000000000 205907928 50690626 31438371 110308719 1000000000000000000 116250308 77448290 4083393 66440671 1000000000000000000 697256795 60523270 227626159 449592846 1000000000000000000 625806394 97784947 465206498 268827606 1000000000000000000 908860240 778299019 749111965 667406603 1000000000000000000 739368275 326759212 305435333 256967900 1000000000000000000 163821262 60314627 16547103 58395568 1000000000000000000 850020347 190759633 125417353 26325739 1000000000000000000 292272121 273045276 52962267 164900388 1000000000000000000 750559786 694404219 587385312 363294667 1000000000000000000 183754913 14353971 56524433 37594736 1000000000000000000 908741061 592849027 304962163 261924246 1000000000000000000 494849888 348178107 258631279 147421738 1000000000000000000 65336441 9215719 21550578 15690406 1000000000000000000 593767353 355729190 126920140 297731105 1000000000000000000 435143706 145088400 35269947 362534186 1000000000000000000 242134603 139576364 77728948 69500077 1000000000000000000 207907974 166072141 180709434 142511404 1000000000000000000 69044563 42491797 28549980 20481476 1000000000000000000 632797194 481902917 57482222 113864965 1000000000000000000 994744309 678848109 950089854 158920730 1000000000000000000 453566325 99033780 445896083 302778701 1000000000000000000 238663666 163129738 114945884 17023246 1000000000000000000 102829630 80470525 24998937 57552618 1000000000000000000 862643658 333554247 693668168 208615268 1000000000000000000 729957121 455129212 2294084 592738750 1000000000000000000 812474238 191787892 640371379 512609766 1000000000000000000 712146539 206503955 263660539 246398045 1000000000000000000 728104849 549828788 410294619 502143366 1000000000000000000 650249408 245562858 294388235 218797114 1000000000000000000 254478019 178626733 70683013 137993516 1000000000000000000 331447101 205699365 151298074 181626537 1000000000000000000 695331712 602057239 551634079 551165097 1000000000000000000 237876329 186153348 141105528 2204860 1000000000000000000 215607463 127554200 131781448 149181466 1000000000000000000 990812337 804594860 412470414 968885840 1000000000000000000 500730775 218993215 323886600 71090183 1000000000000000000 791668787 180737678 379093836 593004834 1000000000000000000 391955237 241837780 74691001 321511559 1000000000000000000 773212434 766050280 244510395 683841678 1000000000000000000 407843193 241608469 66367153 400280225 1000000000000000000 606283144 161428394 394752614 409908590 1000000000000000000 175105437 150023209 44356385 7939290 1000000000000000000 550730181 75005715 94426418 431316044 1000000000000000000 899200578 652952657 358216753 416404322 1000000000000000000 20542477 19770515 11822046 2391424 1000000000000000000 484342784 291139720 93900210 69273921 1000000000000000000 882145694 242021481 815600830 559876378 1000000000000000000 251008333 137950522 16403298 149287903 1000000000000000000 47976066 24164510 10526208 20097452 1000000000000000000 246342589 177882360 4222522 217141239 1000000000000000000 971124060 237187632 758839776 610637876 1000000000000000000 162769952 134676395 137184827 79811548 1000000000000000000 555271891 399222875 490844106 533103320 1000000000000000000 648375304 483177087 83400912 60660774 1000000000000000000 765370769 735111195 677842430 458675663 1000000000000000000 138718612 100312014 96982121 109127481 1000000000000000000 785303789 226157026 159683454 757773277 1000000000000000000 158337300 104685279 101105196 84573294 1000000000000000000 966043757 655307943 746112668 727548515 1000000000000000000 898914230 354791251 464047258 476878313 1000000000000000000 933908988 657803360 82725380 765465839 1000000000000000000 603066796 65434989 127076235 424055735 1000000000000000000 186627953 22509220 21589699 76629271 1000000000000000000 657245911 87475086 71758841 199077491 1000000000000000000 687928402 8807162 215408354 614565499 1000000000000000000 789239196 786067735 389855096 722121179 1000000000000000000 242065884 147161019 81045996 210812903 1000000000000000000 417425117 340602868 416889535 402367181 1000000000000000000 985191772 518956568 956496067 755813124 1000000000000000000 393417643 117837188 195623984 142846594 1000000000000000000 184936801 56456733 73042657 4745959 1000000000000000000 128232844 2060892 79914102 68384114 1000000000000000000 83605219 62628868 53210155 34580615 1000000000000000000 177863526 146169222 41523129 21504340 1000000000000000000 533258918 411708105 329289490 77367775 1000000000000000000 647589462 156986807 497429216 150000914 1000000000000000000 743034904 583820450 563967923 157581908 1000000000000000000 362106135 22669004 177408623 225412574 1000000000000000000 80549738 68929316 3370300 26586715 1000000000000000000 34765684 21563399 3744027 6809395 1000000000000000000 840520607 685774990 681736782 800215988 1000000000000000000 17653570 1709553 11146998 6165299 1000000000000000000 686639429 91923495 270329889 291097611 1000000000000000000 838712774 666224644 576366729 833740379 1000000000000000000 157107132 139342593 84797097 32421635 1000000000000000000 552213692 380592503 347172522 38061668 1000000000000000000 100303282 35526447 82166418 40625076 1000000000000000000 376890984 326689146 260421460 323059179 1000000000000000000 167136091 97061765 55531634 116480515 1000000000000000000 111087631 35879365 48708641 79975665 1000000000000000000 903020821 507648634 328280832 71439389 1000000000000000000 607579197 152325093 291925533 299958057 1000000000000000000 525797030 457729296 491015126 157462483 1000000000000000000 64669297 1360866 6458423 55497227 1000000000000000000 302982783 181120910 142868050 263285679 1000000000000000000 69128645 68766869 56419548 26964001 1000000000000000000 332346755 89930912 3060238 234994110 1000000000000000000 637588286 128070217 339568815 207459626 1000000000000000000 520813883 71296726 500042893 163008096 1000000000000000000 190153025 139818223 16374942 93032946 1000000000000000000 250429050 84827875 37830442 210001362 1000000000000000000 112172055 95561697 37761860 8070376 1000000000000000000 248312277 97699669 242953140 22868729 1000000000000000000 513546986 222906914 476960741 396393499 1000000000000000000 7373962 3114373 5418921 1215920 1000000000000000000 28930507 5133136 12271604 7005346 1000000000000000000 714826914 343375173 693871009 469395987 1000000000000000000 796643735 741449137 669025385 694463413 1000000000000000000 12018552 11635006 10297969 10359707 1000000000000000000 207702166 39313609 130735407 17551491 1000000000000000000 583713294 87645035 70775413 262655620 1000000000000000000 814965597 637886923 388314940 505010220 1000000000000000000 480825395 66695789 261187547 35515385 1000000000000000000 621201801 168148901 324185804 471872572 1000000000000000000 249804405 15903788 213419076 20054980 1000000000000000000 130458286 69153016 113331404 11401790 1000000000000000000 215337453 72630370 57707081 199070202 1000000000000000000 163130123 71208689 108714779 95950656 1000000000000000000 264472721 112459158 160145873 133644284 1000000000000000000 837257298 649400216 371648333 641234498 1000000000000000000 855227798 282924667 726590987 296938590 1000000000000000000 68011596 58078545 21356008 49899632 1000000000000000000 643127926 432165443 196143437 206450885 1000000000000000000 812180273 377497641 327195100 400771700 1000000000000000000 416997939 313191602 377971082 208342957 1000000000000000000 840580425 326395903 567142348 796403666 1000000000000000000 335553915 199427849 235999175 52410342 1000000000000000000 128570057 98577791 68723914 42339015 1000000000000000000 882283492 632608379 332183403 386002247 1000000000000000000 372254900 197046991 169898990 265244970 1000000000000000000 220010483 165181751 41335819 199610878 1000000000000000000 701767910 344441888 170162833 141057895 1000000000000000000 102174663 65688029 84096723 66592078 1000000000000000000 521714925 495268932 335733271 270459310 1000000000000000000 629042077 386144867 262761500 81061773 1000000000000000000 207086146 44107547 87220494 183274042 1000000000000000000 87943641 31718360 3345840 41286369 1000000000000000000 513700127 196728175 669044 503309477 1000000000000000000 208985298 162669650 52110466 111743 1000000000000000000 582356595 578035147 518795238 208883184 1000000000000000000 231294907 128959528 113124891 206556406 1000000000000000000 708684534 644211080 501470198 211060850 1000000000000000000 626544236 25961996 242614114 363773673 1000000000000000000 557703538 185299741 302582393 486217567 1000000000000000000 227861226 23570243 25068146 132824226 1000000000000000000 754587578 336575423 120312006 648348813 1000000000000000000 159279567 6937316 86211343 106132015 1000000000000000000 408452056 18739851 145996852 190059685 1000000000000000000 240268613 190511863 123924506 118676405 1000000000000000000 988314198 37934808 632358901 953109141 1000000000000000000 808899306 736688815 51788652 796032418 1000000000000000000 623566764 459402270 253714226 282403982 1000000000000000000 436776815 2421243 291399724 320258661 1000000000000000000 616019917 463169397 55247319 507298309 1000000000000000000 554778373 229343101 451762578 537003568 1000000000000000000 832474203 796505108 717736872 633413035 1000000000000000000 939161219 148668448 918194465 543890110 1000000000000000000 203728751 197957757 41634773 170429055 1000000000000000000 516771723 284485921 350671750 144399308 1000000000000000000 194450592 6510834 26067543 183529531 1000000000000000000 815954749 382234131 473539702 318640778 1000000000000000000 940726715 64991999 56384763 574297832 1000000000000000000 25514737 19040093 1992703 8376820 1000000000000000000 245588567 73625445 145979901 2487098 1000000000000000000 598327267 576470809 456960594 9941249 1000000000000000000 357929142 117682908 311893437 124146933 1000000000000000000 586938415 92325043 457418575 495021951 1000000000000000000 504998593 248752731 500101142 200611486 1000000000000000000 870847836 537545200 545392441 357619766 1000000000000000000 793748078 652738859 739218810 492952486 1000000000000000000 154140481 121820889 71317844 10624434 1000000000000000000 66298218 38052376 4605497 15755584 1000000000000000000 904098616 255810266 265019601 647269726 1000000000000000000 77944582 452024 71868447 5393715 1000000000000000000 225520187 124358533 204800015 45883177 1000000000000000000 137334581 25928550 27971324 88581782 1000000000000000000 782433756 641307919 576978661 474675109 1000000000000000000 186593267 80589794 66781274 69442087 1000000000000000000 568809815 396846019 392883924 26536425 1000000000000000000 653539360 286394632 109960741 290013552 1000000000000000000 997032064 755083499 319447062 185318092 1000000000000000000 405751680 311740913 52957271 149572239 1000000000000000000 535858970 270910067 500063255 363875104 1000000000000000000 485727955 42183851 92360221 265020115 1000000000000000000 866012232 668488138 804848422 616919342 1000000000000000000 988860068 651960667 294075300 640159125 1000000000000000000 549715876 262598126 463042609 83515351 1000000000000000000 594534249 559546859 361031445 237299397 1000000000000000000 360385448 269347592 191757892 296797266 1000000000000000000 38918768 11435031 4954498 37047184 1000000000000000000 554733293 148022835 171177079 101815754 1000000000000000000 297025728 44922563 182313639 72200122 1000000000000000000 456788537 392566233 205253301 212801635 1000000000000000000 485161970 445738063 283173899 88668512 1000000000000000000 37138081 36325702 16904199 16705819 1000000000000000000 167362774 108302542 22974694 88372883 1000000000000000000 7972593 6816000 6753923 4381569 1000000000000000000 54312926 15470717 25282793 47781689 1000000000000000000 202938682 122735805 31324514 155459667 1000000000000000000 360527703 144524851 141507801 60409398 1000000000000000000 492159143 127240531 131463331 311369128 1000000000000000000 625353446 489346576 191043946 353243801 1000000000000000000 123619565 59257320 74126361 11026505 1000000000000000000 682650739 60865449 546365756 471319476 1000000000000000000 476801779 244656056 268678349 92807183 1000000000000000000 446152616 77472365 411009301 331628039 1000000000000000000 631653534 493721345 458528185 401509377 1000000000000000000 624013332 600806322 568106910 607618620 1000000000000000000 822543736 354772522 320212121 163013167 1000000000000000000 457968646 212206507 326132957 53673266 1000000000000000000 545241426 204083971 168573647 203882869 1000000000000000000 957077188 592500305 622447281 516114455 1000000000000000000 967044700 4028652 935555901 357811333 1000000000000000000 202764735 102335387 36274012 105377193 1000000000000000000 19164824 10731385 467895 15191693 1000000000000000000 546712990 541778015 154558562 127345903 1000000000000000000 413867339 72450624 166092711 249417989 1000000000000000000 863673576 316420522 106751665 264270166 1000000000000000000 594801304 379179417 148481731 525927522 1000000000000000000 735651551 134157814 118493141 533341136 1000000000000000000 54890739 6777324 32357358 43989718 1000000000000000000 749604278 30382257 313924405 319287083 1000000000000000000 850021860 766271576 228853858 323704779 1000000000000000000 254726090 36031045 200274009 237835944 1000000000000000000 250767932 220106596 171576991 190257835 1000000000000000000 188639111 102374004 50384099 39392763 1000000000000000000 918990665 842420943 158639056 431320776 1000000000000000000 361975281 325749358 212176157 73894455 1000000000000000000 377744546 50897120 37798730 259255315 1000000000000000000 73897375 4913034 35105913 12082145 1000000000000000000 566402030 303123243 339138931 437427115 1000000000000000000 245340364 15996733 107968359 96154587 1000000000000000000 218096771 42305219 43219555 164250817 1000000000000000000 850257323 416007865 422236818 643183698 1000000000000000000 969374628 172968836 106092016 434441408 1000000000000000000 556749044 191246305 367502080 153307100 1000000000000000000 393488302 296106432 156288298 254584886 1000000000000000000 770233306 193542003 391515268 221016714 1000000000000000000 48900892 36383358 46995912 25053753 1000000000000000000 965153139 516254853 9478525 187481615 1000000000000000000 173059473 153471297 93031399 46658202 1000000000000000000 379840901 301973351 172368907 277600106 1000000000000000000 925603095 767951646 840561003 324029839 1000000000000000000 864526533 692662799 449507064 319665784 1000000000000000000 812648615 33300336 787973284 429800558 1000000000000000000 508060829 368950962 148307308 230045487 1000000000000000000 29311331 9045404 2013480 23831658 1000000000000000000 985718753 741922777 221042251 195588555 1000000000000000000 460289555 326231982 165676948 413905838 1000000000000000000 523241103 166206292 125146551 357951447 1000000000000000000 254800297 70415437 129872267 104082768 1000000000000000000 831351319 230949234 829309033 123277762 1000000000000000000 539968986 66086951 301574646 523676461 1000000000000000000 494033967 154457808 423140506 24469204 1000000000000000000 380608719 221457058 255432789 58367124 1000000000000000000 557357333 43852709 445020340 270414471 1000000000000000000 133596852 105327417 129691462 111230191 1000000000000000000 331433161 12846759 265349381 261003783 1000000000000000000 725561528 629578409 347073767 495608931 1000000000000000000 896085293 685861488 824055292 102783465 1000000000000000000 320955140 147315709 17411513 43620887 1000000000000000000 268984868 16115718 265972827 223795768 1000000000000000000 149926536 68780103 120478205 1390559 1000000000000000000 975607154 479394554 547844772 161357558 1000000000000000000 790320842 715403340 468429015 376856569 1000000000000000000 176298005 137747192 112044531 134538827 1000000000000000000 290869854 146693305 209520117 3207943 1000000000000000000 500833403 186999681 110439855 322934734 1000000000000000000 59003663 49579825 36286534 41175421 1000000000000000000 81185996 67593436 3143763 16715889 1000000000000000000 757755916 221951805 369953364 476028800 1000000000000000000 883704742 786625276 141430930 373521487 1000000000000000000 456175167 298551646 234285626 360958919 1000000000000000000 101665732 56372085 69502991 78685151 1000000000000000000 321353303 75253062 69478095 115720132 1000000000000000000 418352006 247094978 87814630 253409962 1000000000000000000 335913493 73517399 129453793 83415040 1000000000000000000 232798989 209961994 131497687 228778744 1000000000000000000 490574677 207889205 244452962 356840893 1000000000000000000 747446959 204287191 648128390 188612773 1000000000000000000 545634787 112627186 192496094 139081118 1000000000000000000 734934977 591532157 316006698 591504824 1000000000000000000 71447796 53683622 22873849 13010478 1000000000000000000 975130685 917703272 198970221 480681884 1000000000000000000 683673920 104082249 246767356 598984886 1000000000000000000 575990674 317581198 336097907 284612881 1000000000000000000 10197267 10012655 11860 5206236 1000000000000000000 229130571 20148010 175544527 199639777 1000000000000000000 946714831 739362404 776983156 570103565 1000000000000000000 512082537 482278833 214540873 230261390 1000000000000000000 122785409 53286368 85821647 4691545 1000000000000000000 283767637 95537472 234439885 269111256 1000000000000000000 818399168 555276584 553312082 381718762 1000000000000000000 701279863 457846543 188122973 13292205 1000000000000000000 692549087 488401126 417007462 121563923 1000000000000000000 139691856 13010816 139521485 59589914 1000000000000000000 527653744 160878613 388391299 240032206 1000000000000000000 416101920 172964766 403340997 293496017 1000000000000000000 731750838 122072637 323474968 347118483 1000000000000000000 289690648 202094477 182216871 49967136 1000000000000000000 996952626 764503948 617168608 229659787 1000000000000000000 290838752 105618228 110942183 209368026 1000000000000000000 388345138 348517746 363141139 57242475 1000000000000000000 81598969 53108106 790865 39594724 1000000000000000000 404002331 288225080 276459392 135344738 1000000000000000000 982752509 854035935 277082233 424296149 1000000000000000000 137706441 26456432 109214341 36857795 1000000000000000000 396712766 362884381 210204045 166291265 1000000000000000000 31620968 19917967 7408283 29168111 1000000000000000000 827016853 301765569 372899132 477897815 1000000000000000000 352537928 96101610 159717456 287559837 1000000000000000000 620252001 16938087 303514400 588615014 1000000000000000000 438618540 396543532 73549364 350225442 1000000000000000000 654947216 275585596 187601873 216101788 1000000000000000000 991137559 373263086 602704074 75055505 1000000000000000000 96999501 737894 31666992 39594303 1000000000000000000 534081299 467461098 92279057 363679390 1000000000000000000 284248318 262242649 36848015 53744636 1000000000000000000 138681347 117985573 121834905 87758823 1000000000000000000 551319185 87776274 475609587 220131892 1000000000000000000 966707889 166923624 775749669 770159533 1000000000000000000 246453035 211709834 56132341 31939703 1000000000000000000 787911403 102116032 328605788 228081453 1000000000000000000 156297228 74210331 82526410 40905220 1000000000000000000 882189293 653724431 5301308 226151266 1000000000000000000 69578414 17404653 57837628 43587308 1000000000000000000 45151695 7683193 26626929 41693997 1000000000000000000 434316365 303976627 386762315 10337948 1000000000000000000 892441227 278227722 107668657 107009007 1000000000000000000 35820623 670309 27298299 35051485 1000000000000000000 489929329 235678626 294079399 426001583 1000000000000000000 11897840 8558337 1067382 706090 1000000000000000000 516079686 473603294 99115646 27323698 1000000000000000000 740585353 567489870 56423727 201764450 1000000000000000000 527986667 25753085 409766540 499713099 1000000000000000000 524517289 213707030 284340405 236846297 1000000000000000000 840945674 416610313 450789920 371601419 1000000000000000000 804836351 695012611 747354294 102620075 1000000000000000000 808076376 386776155 307490500 292064548 1000000000000000000 599935092 537030811 253553447 175616570 1000000000000000000 792297321 670795151 419098686 469025272 1000000000000000000 403858162 287433799 129033114 353479680 1000000000000000000 56432793 22034015 16381287 35355625 1000000000000000000 273091204 187281552 229287628 200082666 1000000000000000000 515380447 173902270 209354956 306365624 1000000000000000000 984585241 489971696 327910369 589303635 1000000000000000000 798561057 86137283 763530149 527514556 1000000000000000000 119776046 119683343 83349037 74070542 1000000000000000000 310159518 99599379 140773081 209077290 1000000000000000000 94312580 64471555 48266944 9498324 1000000000000000000 387851822 199991566 218072292 91452733 1000000000000000000 892586368 263846274 800815395 271208222 1000000000000000000 569143612 406091262 63998673 525070383 1000000000000000000 193052000 151209167 145062359 110328010 1000000000000000000 618895038 490606183 571628643 499636001 1000000000000000000 924282154 693613089 210621419 857550185 1000000000000000000 132313896 37702466 93076793 47813363 1000000000000000000 264454535 154378727 179481821 195530421 1000000000000000000 182136221 139436815 126041343 160599049 1000000000000000000 15804368 12196032 700491 10228485 1000000000000000000 629224005 607430372 515655926 9424942 1000000000000000000 270228886 80579122 79275469 162555057 1000000000000000000 723401258 29031241 5450534 353540692 1000000000000000000 898447798 222096636 291189212 716818790 1000000000000000000 532101878 140462288 135997926 80856390 1000000000000000000 201385293 10347888 196928002 129303729 1000000000000000000 818664186 406956998 718162670 119156681 1000000000000000000 373940711 246274013 263538595 124509878 1000000000000000000 581981752 425595510 492688404 274399501 1000000000000000000 162817397 68584820 55388174 33983325 1000000000000000000 872224306 406726977 735904600 368676048 1000000000000000000 780859260 554377944 110585552 144876773 1000000000000000000 572048571 90824989 513133972 498691633 1000000000000000000 869114957 64968427 822646991 728994228 1000000000000000000 865355165 237845789 253465981 805954415 1000000000000000000 550492119 411710142 260532459 528661045 1000000000000000000 740158145 511039606 155529021 298350450 1000000000000000000 831600279 624053734 156796073 64732292 1000000000000000000 153657713 152707959 67518145 148020189 1000000000000000000 429676163 259512813 186472897 329183786 1000000000000000000 373948749 124846832 235309700 122750518 1000000000000000000 80188316 3973668 43052939 57859099 1000000000000000000 993837850 64590067 362156763 477786560 1000000000000000000 776936237 173740445 392478360 60855254 1000000000000000000 347916621 161320106 213355754 315527363 1000000000000000000 771418452 436490967 4593328 668930720 1000000000000000000 451105707 291065860 8423188 263325113 1000000000000000000 211302564 210949774 6963175 142786914 1000000000000000000 81407630 27011177 65163126 34525040 1000000000000000000 403508438 156460404 9272202 304674663 1000000000000000000 543538676 234008736 161938199 14316026 1000000000000000000 637050916 618030086 254923728 177064236 1000000000000000000 805935359 264501357 235981814 717359759 1000000000000000000 85774465 59782456 57937127 8720639 1000000000000000000 265476184 229147651 154209665 223990826 1000000000000000000 101682297 24837911 55091626 42877793 1000000000000000000 253415352 33243557 75944588 212249371 1000000000000000000 149404948 129826906 62283706 121485078 1000000000000000000 978898422 799408631 207924049 614424496 1000000000000000000 824904688 144127411 268740646 763516267 1000000000000000000 141939032 122229820 12423369 95254999 1000000000000000000 681580251 574309380 237479253 343018778 1000000000000000000 741815194 277994262 43243816 79294621 1000000000000000000 27084080 12300149 15382224 18558116 1000000000000000000 312659985 289280188 109379745 113186536 1000000000000000000 422817592 218498092 420341459 215274198 1000000000000000000 731542902 178280346 275324971 463194408 1000000000000000000 611224119 525953010 531764146 453138932 1000000000000000000 29907696 27599166 19520165 29879324 1000000000000000000 536267543 67893239 523267650 314870605 1000000000000000000 415993067 288882852 302648423 207532831 1000000000000000000 930887620 204663420 784639104 513121574 1000000000000000000 336529659 133344283 152960649 113673594 1000000000000000000 949627788 681188838 556576510 614451354 1000000000000000000 180222049 2989136 129399335 164806620 1000000000000000000 815762715 168967266 479294578 124824777 1000000000000000000 585837709 529930425 61972166 361107201 1000000000000000000 170617808 35602331 109778605 23963066 1000000000000000000 805258993 288192429 471359439 262977870 1000000000000000000 697614955 198152369 383196350 259113723 1000000000000000000 591963815 435674164 417875776 471780400 1000000000000000000 169233451 87990840 87938334 22449492 1000000000000000000 325749147 126789985 57010243 300369656 1000000000000000000 985389353 120003724 776078983 428995650 1000000000000000000 219719176 134738627 163510177 118951595 1000000000000000000 258725942 373940 251264228 205145160 1000000000000000000 28893312 20726772 24779126 3725874 1000000000000000000 484421983 57096735 428400526 323779812 1000000000000000000 872751313 832617551 674917518 824074174 1000000000000000000 960965546 735810564 613882956 183046783 1000000000000000000 818825919 364116559 119258948 242494394 1000000000000000000 806784459 328734640 682590975 453843586 1000000000000000000 616152429 295571806 313593820 337210596 1000000000000000000 527780730 130178023 15824573 45606186 1000000000000000000 49959432 9483648 24087198 39281344 1000000000000000000 398048482 139649386 243229471 378955583 1000000000000000000 431809332 272009966 12480271 160831325 1000000000000000000 250890675 185118241 67777264 10938910 1000000000000000000 1408529 1238210 1192557 427544 1000000000000000000 945922512 210116344 835752289 902788975 1000000000000000000 991404507 247051698 137050305 271697287 1000000000000000000 1601763 671822 910140 319224 1000000000000000000 488463071 424000195 446774778 446164748 1000000000000000000 249012809 189098978 15556915 21678554 1000000000000000000 307545732 169913239 7783633 89869714 1000000000000000000 473522196 413423943 44400024 45207445 1000000000000000000 646253736 228654056 102452384 454509973 1000000000000000000 582554699 18069313 121746538 140097014 1000000000000000000 922716295 439455950 421152597 704399077 1000000000000000000 165125319 94976901 71340265 27556903 1000000000000000000 43712379 34764259 19873203 42865744 1000000000000000000 469693846 303097182 232175260 93516652 1000000000000000000 32630143 26515774 13625036 7129220 1000000000000000000 254329653 175915700 157621695 53002857 1000000000000000000 28546782 21315464 24069697 10021720 1000000000000000000 86707336 85383093 57013134 27983851 1000000000000000000 737342221 61439773 332305011 272631403 1000000000000000000 394498865 372716404 24655520 125538164 1000000000000000000 283164680 148189872 8165470 54440175 1000000000000000000 848460571 109974502 50767771 48764227 1000000000000000000 834322475 86041125 665034368 178218046 1000000000000000000 459578147 250968908 333059647 269529968 1000000000000000000 363791858 107786252 287339374 30066267 1000000000000000000 347280812 211210901 25357638 332609364 1000000000000000000 819134900 411941605 430402478 717198839 1000000000000000000 405598501 115351850 28003017 229162610 1000000000000000000 698359824 659672666 189641900 74270866 1000000000000000000 919082148 67870040 890448693 753186102 1000000000000000000 113786817 70044994 54851124 2177212 1000000000000000000 128464425 94092081 66190301 57905840 1000000000000000000 825604631 695009436 520308013 627303027 1000000000000000000 810727437 754056130 85021238 252654311 1000000000000000000 930372726 482972883 238308474 717815096 1000000000000000000 363141649 274369773 264893964 311642339 1000000000000000000 817294085 327046464 259569623 615754770 1000000000000000000 195708496 12339072 156361375 17165218 1000000000000000000 327140151 48567807 60709777 264107463 1000000000000000000 633067991 137114157 546219742 486214157 1000000000000000000 487837 305484 20088 329510 1000000000000000000 148256294 112056489 121124073 91346070 1000000000000000000 175491227 168210812 13692022 4543398 1000000000000000000 474564470 111423082 249236370 470881695 1000000000000000000 177219289 126635488 172135980 165857362 1000000000000000000 440493905 26422735 199509091 295213477 1000000000000000000 549602477 5233937 331872 408271672 1000000000000000000 953340483 147502364 737388026 26217845 1000000000000000000 124884251 49615934 28418791 96272600 1000000000000000000 57626514 48812475 18294187 40853478 1000000000000000000 249749165 222998527 151307479 71511637 1000000000000000000 613362309 391428845 333595704 85992366 1000000000000000000 871394605 416491161 64209393 119522174 1000000000000000000 530448821 260290666 371061964 416237959 1000000000000000000 838070416 3461629 258296507 542054774 1000000000000000000 566401975 487464705 276375699 185302613 1000000000000000000 965200794 818648381 801134019 472389920 1000000000000000000 605122966 591045999 4824196 292200486 1000000000000000000 48431870 31823457 45479595 23512541 1000000000000000000 541658311 463038371 425695221 61691865 1000000000000000000 44608169 7092016 36182687 26212805 1000000000000000000 780600833 675958217 196755895 627897765 1000000000000000000 42348641 11789310 13276662 29111465 1000000000000000000 697217854 101534236 101420038 98711171 1000000000000000000 905254171 74347555 779090659 398699821 1000000000000000000 969266802 480176025 172043595 712544482 1000000000000000000 723010381 67377390 573251318 75111850 1000000000000000000 909100034 416792748 98603783 10934646 1000000000000000000 470190734 2253787 269029185 288322899 1000000000000000000 967881159 126407083 862841895 840696669 1000000000000000000 408855416 70242783 75470761 207780022 1000000000000000000 394452708 4666814 167129146 348233596 1000000000000000000 32178677 10515689 5866965 17333408 1000000000000000000 135841175 57357223 37943520 86229401 1000000000000000000 674395681 469709510 583036215 638428826 1000000000000000000 560264291 47770499 484548479 411658192 1000000000000000000 407716709 349221812 218775907 361948619 1000000000000000000 610647022 163987423 410598763 494080798 1000000000000000000 638935349 167485218 185898735 571899566 1000000000000000000 299622325 266556715 189231500 273278085 1000000000000000000 197857334 90527906 82555270 70791033 1000000000000000000 786961746 557227119 112223954 489254748 1000000000000000000 736833683 89373521 165327732 640368953 1000000000000000000 984077776 617736833 251019884 173017288 1000000000000000000 932936499 134814192 291778647 257707006 1000000000000000000 553942875 188194137 465577972 215933819 1000000000000000000 448926313 311577822 256980867 196665197 1000000000000000000 927129270 198808534 276695531 873510135 1000000000000000000 955222366 202238142 787160247 517457467 1000000000000000000 219610232 181368966 10371478 76170109 1000000000000000000 219045452 183865634 115723519 41394051 1000000000000000000 543813052 21884977 318327325 133581125 1000000000000000000 83756467 49207048 73003490 71650365 1000000000000000000 765795882 434286126 678533188 692058018 1000000000000000000 980454858 626164717 925761826 768621487 1000000000000000000 524200495 79714915 361824697 455637017 1000000000000000000 884391769 358920943 803405126 739112643 1000000000000000000 28821203 12798727 18814212 16201455 1000000000000000000 690694548 568429151 186584936 233706852 1000000000000000000 275311831 226275536 158444383 129444695 1000000000000000000 311957742 5216864 135573418 161840123 1000000000000000000 755245708 473014377 161053234 549462426 1000000000000000000 533683973 353205657 122042089 100209029 1000000000000000000 86217480 76271596 15955157 7361791 1000000000000000000 813001341 296607114 352696235 552862164 1000000000000000000 347197434 112488789 143797659 100677361 1000000000000000000 65463856 48607876 10637245 30257360 1000000000000000000 340488794 71989364 174647054 273353890 1000000000000000000 429241861 148216426 365282640 5006664 1000000000000000000 609771928 533769130 422786788 501088051 1000000000000000000 459133368 185190431 218751899 76542887 1000000000000000000 319114192 166938612 67721352 193598150 1000000000000000000 780161839 199898200 437367365 382769044 1000000000000000000 742475143 499807541 190196535 214640631 1000000000000000000 261489084 13257137 216437352 151273935 1000000000000000000 578473554 553499448 462430817 346937417 1000000000000000000 65637953 37302870 37146931 65044517 1000000000000000000 494980035 329958804 255621193 253403089 1000000000000000000 12713705 10014654 11253562 7183834 1000000000000000000 146428849 187294 133003086 107727211 1000000000000000000 738315891 69704119 486211367 719213458 1000000000000000000 772071763 722295712 337451661 29156175 1000000000000000000 674435867 323131590 496021904 286684418 1000000000000000000 542360695 358258308 178394053 473373849 1000000000000000000 368467055 102572242 325066538 167648862 1000000000000000000 412879321 61007154 302858413 186944814 1000000000000000000 444301212 189920802 347763839 10598699 1000000000000000000 904339080 122947839 314203372 311367369 1000000000000000000 957522415 250259345 893318335 117529379 1000000000000000000 242830597 51299766 82960321 163707378 1000000000000000000 291637293 42516355 239649373 286925937 1000000000000000000 172138217 71019575 3104738 35397235 1000000000000000000 948223560 341238826 793435467 368340679 1000000000000000000 560456273 320480704 450808677 496286128 1000000000000000000 144230842 41761078 70423749 73765839 1000000000000000000 924420537 575020228 690419349 432696581 1000000000000000000 890297619 174500336 68298198 645527646 1000000000000000000 376635674 277405350 67743031 260959405 1000000000000000000 544974526 28194167 160213040 62519962 1000000000000000000 102092375 31874682 18773249 96987106 1000000000000000000 795097980 739075685 104717422 574683516 1000000000000000000 261133283 211233894 41923877 175560738 1000000000000000000 158821400 55593002 29371784 4222733 1000000000000000000 758943925 582224600 461168612 644247340 1000000000000000000 358340977 323499643 47897646 221934331 1000000000000000000 242269873 85907902 158002778 37310641 1000000000000000000 385623079 369949982 348011380 197625366 1000000000000000000 809311633 378661963 168414857 55655175 1000000000000000000 766907002 267288749 634427992 142941284 1000000000000000000 514781645 421985991 280682215 301349607 1000000000000000000 35213031 26702658 24786527 471349 1000000000000000000 295485484 144835479 61803582 286347721 1000000000000000000 519836567 45380406 366995514 292313404 1000000000000000000 517652760 144734224 125951166 183501154 1000000000000000000 236848438 25609730 132088135 178411738 1000000000000000000 910155762 45892871 745353862 190969600 1000000000000000000 950190885 830029542 806568772 305266169 1000000000000000000 889789008 93013297 21346415 292101474 1000000000000000000 836041340 77109659 757425391 452321616 1000000000000000000 823487300 127198023 783555157 480545420 1000000000000000000 279686877 200283235 136952321 231091880 1000000000000000000 905880944 402537959 687791876 382115794 1000000000000000000 411605610 9279938 141704997 36607842 1000000000000000000 915579505 184718364 587424471 447978710 1000000000000000000 818666987 563023512 643387371 179590875 1000000000000000000 734466450 50525235 405816185 207061142 1000000000000000000 559026375 551086099 372959242 393340578 1000000000000000000 764816896 100521835 720507798 644834921 1000000000000000000 15682204 1903685 834955 798377 1000000000000000000 370496065 344232651 280529112 169509099 1000000000000000000 846074295 660698655 258396715 760304522 1000000000000000000 311521232 209685232 185764769 162366120 1000000000000000000 804458230 626140453 447513342 130240621 1000000000000000000 518572589 341558729 231144141 328950475 1000000000000000000 535697640 263672745 108508394 369553216 1000000000000000000 768887398 16089169 585342868 435434792 1000000000000000000 999670195 598023694 490197950 18588143 1000000000000000000 322067947 235140187 219244432 101465628 1000000000000000000 170157791 43210480 20786748 17382917 1000000000000000000 465535949 411711992 303199835 196008744 1000000000000000000 799399912 753607004 3569959 789218328 1000000000000000000 428771552 393525084 188005790 291553831 1000000000000000000 61114152 52052349 41992867 34924197 1000000000000000000 367510281 205461069 293361548 335442523 1000000000000000000 601002765 353528207 426840886 233332571 1000000000000000000 124117401 64593619 85075688 96149900 1000000000000000000 488904134 317945141 468937309 365345946 1000000000000000000 446725890 12253909 249659913 4404502 1000000000000000000 359841393 352802264 91363252 175116861 1000000000000000000 828763544 501296678 231111575 223982429 1000000000000000000 287491079 270075081 134614536 201173925 1000000000000000000 700408745 603693941 691414418 82194220 1000000000000000000 460624320 192806151 209534800 154642503 1000000000000000000 32618062 9333668 6573315 27068484 1000000000000000000 229497195 86808260 111157783 2691206 1000000000000000000 421325775 408243033 357467331 123631366 1000000000000000000 693725147 455034095 396169151 302501912 1000000000000000000 657988511 424407634 469632340 465438780 1000000000000000000 395968418 215670074 378383598 149906656 1000000000000000000 391876278 168843702 269932121 164492186 1000000000000000000 416436491 53441362 83536087 43193799 1000000000000000000 359065896 273746161 211572883 350321472 1000000000000000000 404202693 55422433 106718915 47700535 1000000000000000000 297974578 141959848 256357568 9910818 1000000000000000000 205696389 196472105 95350543 186061908 1000000000000000000 511953169 222098617 262436213 1421424 1000000000000000000 828843552 117945548 563903239 803316942 1000000000000000000 491303117 174917872 1352437 373805102 1000000000000000000 389107432 73476673 33473017 106307045 1000000000000000000 162899738 29121402 86204880 79599872 1000000000000000000 385899814 332470975 150354033 258357726 1000000000000000000 345106594 37536503 207991939 106012067 1000000000000000000 885857131 26759721 264009669 43881740 1000000000000000000 739278989 342136916 736992077 526352471 1000000000000000000 476523029 411169733 57449209 317429193 1000000000000000000 334017050 171367445 250336652 238374670 1000000000000000000 728437699 361882515 538947245 499666984 1000000000000000000 859145420 188085885 6854006 540994443 1000000000000000000 376910932 275816811 122037442 324044268 1000000000000000000 663042383 152554862 466271869 376919275 1000000000000000000 705268478 110556786 539661173 141247088 1000000000000000000 450569759 424771165 273860800 234049582 1000000000000000000 134964957 121971266 105679665 105375346 1000000000000000000 801089673 577675817 610074150 181549803 1000000000000000000 443724843 423962217 329295827 375463965 1000000000000000000 34324800 5932146 23392062 15343593 1000000000000000000 392962279 75308026 141211536 60118242 1000000000000000000 800640842 419472139 693743272 343752256 1000000000000000000 394704957 259203370 222235578 133791265 1000000000000000000 487723705 129454341 211208335 185039836 1000000000000000000 324501989 287551533 305807962 145639960 1000000000000000000 201944331 18535771 109658420 115508047 1000000000000000000 717360732 361523864 437218265 448995507 1000000000000000000 833137419 586140409 4749207 131599282 1000000000000000000 347962781 195436792 40089121 177354450 1000000000000000000 509719689 279558363 237212156 53714763 1000000000000000000 510680277 405064224 439503171 472405950 1000000000000000000 879077703 624739390 336382901 175722889 1000000000000000000 451577426 128047359 76646088 403191005 1000000000000000000 84705714 34948860 12929455 74355007 1000000000000000000 358703976 300621483 37750972 273092598 1000000000000000000 819710166 630753163 500548369 810907485 1000000000000000000 187572052 22797866 78425926 131354071 1000000000000000000 110378858 39602678 47401140 101569484 1000000000000000000 557054949 12731761 216989882 431907828 1000000000000000000 459916743 409058371 63073030 147080572 1000000000000000000 532535224 518805216 297145315 73518256 1000000000000000000 576759184 98429782 414056552 416499281 1000000000000000000 703430147 119215153 498488377 465206722 1000000000000000000 297066820 98487936 42984884 25805351 1000000000000000000 800798407 769930199 456313673 715662803 1000000000000000000 967338802 391151645 927473795 811283194 1000000000000000000 200669372 171625081 65866417 37270527 1000000000000000000 887290864 66606396 588787196 473884687 1000000000000000000 793981354 776659602 412193572 457264142 1000000000000000000 451311087 336406148 340551065 174739579 1000000000000000000 759799158 648831234 17356886 666879847 1000000000000000000 769248048 623249766 413527065 691663306 1000000000000000000 309123571 79499657 295217478 176138712 1000000000000000000 493084476 233347672 330257552 225426701 1000000000000000000 225720005 16562429 131755316 90640600 1000000000000000000 687475137 68034815 595597023 680300293 1000000000000000000 300062840 88046166 67088766 143631731 1000000000000000000 584852511 103654647 430894201 173430343 1000000000000000000 313889189 23427541 8122228 268025679 1000000000000000000 909432948 540407779 451026251 206297225 1000000000000000000 453676185 161810928 394563860 165202970 1000000000000000000 962809555 152284508 469679141 745941685 1000000000000000000 72919615 26656293 49046375 36443880 1000000000000000000 917736578 474866423 624719276 134632132 1000000000000000000 282174309 245178108 93540783 81510279 1000000000000000000 778340307 305662353 174231142 119625721 1000000000000000000 754882248 263350769 706325610 733983604 1000000000000000000 902817915 598104182 262804281 246827283 1000000000000000000 693551574 276495566 52028630 644330587 1000000000000000000 686493879 516952805 598173085 681238506 1000000000000000000 585444388 410489118 15388197 567233257 1000000000000000000 115581146 32116429 85700200 40602401 1000000000000000000 417434372 41487428 182700685 58879143 1000000000000000000 160825485 100941931 98844473 27682887 1000000000000000000 542477531 78105422 529967183 427372430 1000000000000000000 833193968 455177227 13138262 520731692 1000000000000000000 125904487 63601011 96398411 87899061 1000000000000000000 991079123 942312536 301998514 686148370 1000000000000000000 148964517 140692443 54707963 91186251 1000000000000000000 555441612 175494542 375048805 362594982 1000000000000000000 765211886 385290878 669932599 536105874 1000000000000000000 787126409 367774690 750138527 745964203 1000000000000000000 984290986 290219944 347102975 212647549 1000000000000000000 253580809 249004047 68812744 59161576 1000000000000000000 797579939 409356812 430911243 303974760 1000000000000000000 49692957 43170765 25905658 41601377 1000000000000000000 587198644 499949075 550148717 357626187 1000000000000000000 280215451 240137935 275881904 133928648 1000000000000000000 421158506 136425076 357231424 306213039 1000000000000000000 661653668 497027497 55967677 58975686 1000000000000000000 805729018 305816414 458463714 172640067 1000000000000000000 399623323 83234421 215975271 16129869 1000000000000000000 499172119 37324227 459948495 101996674 1000000000000000000 636069522 220910352 75226864 198189505 1000000000000000000 382533319 285616609 59993193 81908043 1000000000000000000 162265738 135205156 113528605 161910779 1000000000000000000 193276876 59364996 154963994 124838462 1000000000000000000 499067350 372996879 141426847 401205439 1000000000000000000 198042870 113865229 186873841 195486466 1000000000000000000 72078056 8701669 36978087 53007086 1000000000000000000 447329367 428715981 299701225 11262048 1000000000000000000 337824495 336439913 122346813 307972117 1000000000000000000 293495257 71464701 44614851 61046518 1000000000000000000 332386680 141615589 228125563 113915847 1000000000000000000 876149649 720248248 622425024 390700859 1000000000000000000 327100772 254520005 271077118 186862839 1000000000000000000 473038546 130545012 394369566 253316581 1000000000000000000 915719811 338275254 756942466 146179794 1000000000000000000 569467352 489746802 507461852 515954902 1000000000000000000 124317985 114757872 4184431 112722742 1000000000000000000 742602239 394607014 545956786 9817884 1000000000000000000 49999585 20483093 44075215 12853420 1000000000000000000 103368523 3462169 96565123 66057034 1000000000000000000 64907549 28146733 40795439 22524283 1000000000000000000 887623380 308679616 857131985 246228319 1000000000000000000 130349319 77653784 50705508 86181064 1000000000000000000 359254874 244859863 123833593 237505780 1000000000000000000 470845991 322666841 92020204 454277470 1000000000000000000 201832829 169187263 113740107 157519457 1000000000000000000 420397305 287926654 278540824 107443005 1000000000000000000 818517566 673063666 807574390 38100248 1000000000000000000 91376085 69677733 54546580 3351504 1000000000000000000 563221390 442551633 76123389 361709770 1000000000000000000 649784838 596450484 123499421 552246392 1000000000000000000 757950014 47659879 399002473 400418021 1000000000000000000 822340960 138792892 759553023 66775140 1000000000000000000 693134351 667731716 192448389 66208605 1000000000000000000 4482145 2592122 311801 1765793 1000000000000000000 936797326 28798763 270210605 136987749 1000000000000000000 305001519 49594517 204646663 216057563 1000000000000000000 926268944 607679017 584490675 110316044 1000000000000000000 468818926 96387985 156775668 32733836 1000000000000000000 836705122 115057428 222612001 816346799 1000000000000000000 646103755 524936035 318652379 419395566 1000000000000000000 696615106 438436459 343008209 114768552 1000000000000000000 501501072 397721313 436099139 259408473 1000000000000000000 332781255 42225566 193171555 295920569 1000000000000000000 353594297 145657436 235559590 237492683 1000000000000000000 265450709 135500678 253401595 187595230 1000000000000000000 690226833 355214174 18972198 689872687 1000000000000000000 952805126 764271629 356319296 566950934 1000000000000000000 17290685 1866430 14195895 17121247 1000000000000000000 124082487 103027194 53139168 96974862 1000000000000000000 660439300 590786996 105713370 313526424 1000000000000000000 477727324 320596180 400682333 71127715 1000000000000000000 110905894 24791911 71273036 72944933 1000000000000000000 515048595 388634952 513928034 399016624 1000000000000000000 1330598 499753 119554 727905 1000000000000000000 594956611 186805236 143439724 3783347 1000000000000000000 692777961 274762932 168650628 135119949 1000000000000000000 749957682 137402895 260509671 63151118 1000000000000000000 997264730 38321571 883213232 740411050 1000000000000000000 260103012 140519984 123849286 26565768 1000000000000000000 88647597 16771944 68260515 41331728 1000000000000000000 981111168 507849052 424068215 366413326 1000000000000000000 673121456 625108041 212367599 380897956 1000000000000000000 758786584 748796847 361016194 601350745 1000000000000000000 699089736 451650188 129900892 474436758 1000000000000000000 297470888 155248158 198704973 45708187 1000000000000000000 146648807 22215929 145053805 1724561 1000000000000000000 512785173 378460531 246807213 147931247 1000000000000000000 131742025 56598167 126408911 76742765 1000000000000000000 426458278 227083748 229318385 84867276 1000000000000000000 477151208 44007773 228909453 464278497 1000000000000000000 830888154 61524286 362498371 816466048 1000000000000000000 514672286 489531004 355803953 46773037 1000000000000000000 692147815 472194078 511263739 128102530 1000000000000000000 959014487 486272850 70785006 750826940 1000000000000000000 449534137 331839980 412748481 309125836 1000000000000000000 713437462 642945076 393183643 580584238 1000000000000000000 905260179 40287899 40726538 561984073 1000000000000000000 27507914 7729629 12781426 17705837 1000000000000000000 695366500 445894243 411171021 307965074 1000000000000000000 631807539 168910030 231974081 530663148 1000000000000000000 385956827 165402243 384916379 165267134 1000000000000000000 431255954 35844646 123397666 181625169 1000000000000000000 697291946 269094101 154758666 441827272 1000000000000000000 793543464 404692171 359776322 54516939 1000000000000000000 347191163 286684527 241176227 91905957 1000000000000000000 372478087 54395774 214558186 171414171 1000000000000000000 214507522 167934968 30594766 154603098 1000000000000000000 77493183 72230704 62731359 21121223 1000000000000000000 3975733 2614917 3403302 3547142 1000000000000000000 248361227 224372045 205653112 42023807 1000000000000000000 190607837 50359349 69947788 100158712 1000000000000000000 369121232 315932061 36078865 244458712 1000000000000000000 187826985 27169850 138222525 2170169 1000000000000000000 431555360 236554490 227807215 267072643 1000000000000000000 248785574 31368760 155363303 81577429 1000000000000000000 577928545 307320978 101817892 277074716 1000000000000000000 464357232 222845126 327812129 331726179 1000000000000000000 328378959 166351732 6105391 130580037 1000000000000000000 427444301 238360005 380868951 9861200 1000000000000000000 239388257 16832608 153740039 145327430 1000000000000000000 393125760 98495346 105713740 292094756 1000000000000000000 843313389 108635418 412276040 577551561 1000000000000000000 128298383 115199470 62700302 66030497 1000000000000000000 242378786 147210121 160961253 82295483 1000000000000000000 304013900 112291428 303656897 227200307 1000000000000000000 786744203 390307617 386308974 580192456 1000000000000000000 909898550 250663578 270679714 250577916 1000000000000000000 405099354 329812322 396477562 76249349 1000000000000000000 883941690 118065885 345248806 604539253 1000000000000000000 610843571 47621971 28164959 1073236 1000000000000000000 857630347 317361337 234554612 43078775 1000000000000000000 816744374 734180141 424676254 666640772 1000000000000000000 727124157 411435624 704674254 418154214 1000000000000000000 782900889 684439594 486559397 579535366 1000000000000000000 890662837 46190616 582974208 394488396 1000000000000000000 25958263 16040162 11102039 9834668 1000000000000000000 452096231 88482592 363895465 315743668 1000000000000000000 708496007 275854914 573891984 6143238 1000000000000000000 322582027 46674927 204487319 286931885 1000000000000000000 790128429 432569678 130527264 747904784 1000000000000000000 357767770 108830036 155476541 263687928 1000000000000000000 85497924 59255931 2278113 7599922 1000000000000000000 180172703 55453672 20560049 39957549 1000000000000000000 379671408 283856343 257603020 46255987 1000000000000000000 746266564 179759194 280088530 86229784 1000000000000000000 909627439 436078273 659800819 624146848 1000000000000000000 724490638 654155782 186511433 437209893 1000000000000000000 834963777 11732703 738609086 376796239 1000000000000000000 308496946 123947282 137472171 289987148 1000000000000000000 677879731 143987051 384590360 226032929 1000000000000000000 693132966 70517270 123089330 566935548 1000000000000000000 626852545 248426952 385391639 251949495 1000000000000000000 409862579 340860578 167122260 26760488 1000000000000000000 638721515 251941071 258557900 84894783 1000000000000000000 907044004 360712971 186243432 865279782 1000000000000000000 195909836 20888768 174403697 1772770 1000000000000000000 889333214 775053877 11814272 290846065 1000000000000000000 48380187 35661343 20956225 35369706 1000000000000000000 256404967 163217156 109473523 167333188 1000000000000000000 290253664 247260671 105044649 25085892 1000000000000000000 97177208 93146249 61675136 90373358 1000000000000000000 475609563 433394564 396936166 317327257 1000000000000000000 766288562 141867680 576060852 590588710 1000000000000000000 179567672 53738715 30913577 50407694 1000000000000000000 513354442 56780441 458639850 284521769 1000000000000000000 84092077 55862107 54437067 12650425 1000000000000000000 445513502 422652045 328906117 181361723 1000000000000000000 58426222 19701956 5019309 54755833 1000000000000000000 840720607 780390445 82295237 386240239 1000000000000000000 649658810 231560954 466779071 542449265 1000000000000000000 746376773 168136459 110434172 446682288 1000000000000000000 909803666 330485920 429127556 626748283 1000000000000000000 314906102 205375739 138343380 205946337 1000000000000000000 985604862 899480176 662955949 127232 1000000000000000000 458044162 67921519 77167788 378214084 1000000000000000000 224493442 159602210 63926511 175351174 1000000000000000000 247978700 159636620 189090123 102382057 1000000000000000000 468286318 135631915 441480951 411610664 1000000000000000000 545281429 217066195 127458992 196199614 1000000000000000000 919924914 343205544 835567464 123765347 1000000000000000000 901333591 480318262 229881810 297253147 1000000000000000000 241363016 190017302 181479851 1683662 1000000000000000000 431675145 380065861 80336251 84142403 1000000000000000000 973038439 831717202 772489396 424124640 1000000000000000000 820861364 541290390 600765704 251374707 1000000000000000000 665787229 656613524 589778442 8871452 1000000000000000000 254313022 8468586 44488014 168811329 1000000000000000000 252558189 224222535 93704206 204163081 1000000000000000000 456965746 355513401 372629139 66954501 1000000000000000000 457567543 76169109 270031115 146765988 1000000000000000000 35245050 6344468 22732422 19232093 1000000000000000000 562665814 258815011 90061874 174865107 1000000000000000000 306315672 261203300 234251851 262643073 1000000000000000000 395768797 327510924 193384510 200424284 1000000000000000000 684030526 23879334 509406759 159954380 1000000000000000000 140908937 87279828 12929595 134019220 1000000000000000000 138617121 102522937 3575782 115799666 1000000000000000000 946781416 144497433 651084464 599474796 1000000000000000000 912818526 47393474 340180704 187681608 1000000000000000000 531233554 37046837 193832289 241845640 1000000000000000000 447606624 369259721 161064395 424969470 1000000000000000000 855515466 297074746 663932908 833468629 1000000000000000000 836415307 585047465 805664867 562952761 1000000000000000000 180099720 39899041 73196122 16223442 1000000000000000000 687849883 316286873 127979510 416607935 1000000000000000000 943584013 849912194 909799089 74792117 1000000000000000000 949524899 813129223 935316216 522972976 1000000000000000000 70921586 44855716 29022369 40769167 1000000000000000000 857652871 793670594 65753937 805383715 1000000000000000000 985261958 788536752 557554481 602496250 1000000000000000000 819977506 38264727 283968538 90360393 1000000000000000000 583180708 248034360 338226561 454343261 1000000000000000000 745887228 26672089 668327516 360239573 1000000000000000000 162914666 92245830 70031376 133668215 1000000000000000000 155951088 48468922 144185681 140167142 1000000000000000000 912481874 683565552 254681943 252199642 1000000000000000000 177931834 132411666 19509947 186589 1000000000000000000 563886481 478916107 428382172 407672040 1000000000000000000 461340546 360426677 386620215 17722550 1000000000000000000 123010919 8894702 7797444 94561668 1000000000000000000 745659468 12526054 78541583 14273007 1000000000000000000 63613091 32086202 37972717 36986186 1000000000000000000 204635038 84490292 59954864 164957370 1000000000000000000 177584486 133011844 38885242 106300670 1000000000000000000 381945957 103049307 238700794 349372836 1000000000000000000 313262856 218969934 98589268 147352839 1000000000000000000 20413176 6738765 10908907 403614 1000000000000000000 663170883 47811681 318942764 289692054 1000000000000000000 923359760 561044802 341384460 474261782 1000000000000000000 382450451 198007912 63985000 13412524 1000000000000000000 397592856 300334025 172796185 204239410 1000000000000000000 191608206 125374561 145258365 17886358 1000000000000000000 306503982 147826599 148574603 46834306 1000000000000000000 280530638 45426508 197359391 53994526 1000000000000000000 652366652 282126883 559611561 293841008 1000000000000000000 65334657 10648304 63835328 34859105 1000000000000000000 29881996 5941062 18962693 25044931 1000000000000000000 868997916 607790206 64538686 520285725 1000000000000000000 529743430 289751349 9822139 378577654 1000000000000000000 706660746 542735619 558004490 65108563 1000000000000000000 768629622 212218902 704685540 470869709 1000000000000000000 986085861 511926823 488780417 181276687 1000000000000000000 658906021 103119538 172779976 291464439 1000000000000000000 178133863 153564395 80757601 36013935 1000000000000000000 108671960 82076781 101932696 60556112 1000000000000000000 29788797 26934 2508377 27963064 1000000000000000000 880748051 858142366 617165441 708411972 1000000000000000000 560514672 205060813 215062825 134721172 1000000000000000000 921960002 698854794 461583475 822693585 1000000000000000000 293325417 65468863 69293842 284859333 1000000000000000000 709115362 634310145 409317763 218416257 1000000000000000000 991611024 739743395 448004872 757525074 1000000000000000000 7230896 1394019 7004620 3461868 1000000000000000000 819548483 424903863 346295922 240241316 1000000000000000000 679305370 655045044 526981028 216843398 1000000000000000000 832415489 327236036 683079840 570938349 1000000000000000000 368667964 354089382 120130062 322415479 1000000000000000000 678424272 15232289 144430262 638162095 1000000000000000000 728549653 176312631 510734696 129955124 1000000000000000000 324427932 140393833 63369027 261277989 1000000000000000000 456622343 308555959 41430086 34976581 1000000000000000000 839060602 407400986 834482115 31956854 1000000000000000000 205102766 119843436 121639302 129326063 1000000000000000000 356657603 307544675 60950556 176548527 1000000000000000000 472221889 404131820 27893150 99206054 1000000000000000000 386656760 37357748 371425272 12026836 1000000000000000000 560407282 297393585 438233194 386509357 1000000000000000000 731237649 288495042 605753296 614003184 1000000000000000000 884631374 681262883 446514524 59021455 1000000000000000000 507921831 308905780 308756593 438036865 1000000000000000000 64851705 8558120 10846780 31164891 1000000000000000000 982554765 112027119 178705023 847667764 1000000000000000000 138129460 130721987 29175699 99110439 1000000000000000000 415596886 143273286 320442693 193672393 1000000000000000000 861310293 173404040 665661622 458669238 1000000000000000000 593269919 479866019 508781772 164970025 1000000000000000000 765926241 728024454 329151554 425046561 1000000000000000000 38900230 35013810 29033619 6819900 1000000000000000000 402648832 383589828 290864239 140235015 1000000000000000000 675509626 102356947 564525971 396993101 1000000000000000000 586350871 332692059 229462186 42574558 1000000000000000000 549653143 153711816 121441998 468090638 1000000000000000000 870886616 817704904 564936286 332900706 1000000000000000000 442456938 336512450 410339002 185839739 1000000000000000000 223384529 179378653 156632372 101476193 1000000000000000000 267836776 184089087 24683095 192390759 1000000000000000000 828910686 524584167 289081908 815207874 1000000000000000000 87769242 64330403 30324918 74540353 1000000000000000000 701912075 338316422 443576491 328502956 1000000000000000000 602024872 473596152 72481316 601128652 1000000000000000000 637026848 40135822 90859353 498779199 1000000000000000000 695788720 662963851 171170766 472078541 1000000000000000000 922005432 621477882 893014411 59226460 1000000000000000000 675889678 86669039 12552603 370386156 1000000000000000000 489622184 60223071 73350331 451224528 1000000000000000000 873873056 654374682 184145264 143541380 1000000000000000000 333220485 58133749 165886706 10755718 1000000000000000000 950088089 948394865 504898892 151749847 1000000000000000000 419039705 373491589 416153122 407070030 1000000000000000000 732357565 36968354 213119071 713675613 1000000000000000000 67663558 21653531 48642693 39225774 1000000000000000000 9304843 4940228 7408235 7720427 1000000000000000000 550696699 506801966 120775566 462501278 1000000000000000000 996702985 909483698 2784999 201399738 1000000000000000000 659563332 534802384 172139420 631885604 1000000000000000000 536219898 303182177 476410181 451446223 1000000000000000000 210317116 10344242 138471004 32912497 1000000000000000000 85664803 72772336 32845160 16552414 1000000000000000000 528776380 477367028 104467336 288458775 1000000000000000000 637086092 35703159 102307973 234178401 1000000000000000000 531929981 10718576 108795567 8721917 1000000000000000000 496635417 449984892 431727772 326498353 1000000000000000000 580208987 226872856 163807594 90953958 1000000000000000000 722464114 581991909 239350140 388937863 1000000000000000000 987000315 943847827 380006778 431031765 1000000000000000000 828270310 641986007 628874688 224905096 1000000000000000000 203186839 58218429 34012899 36718127 1000000000000000000 10961565 6454060 6014344 1898578 1000000000000000000 62015047 9791653 1700932 56587720 1000000000000000000 836347889 226035389 90595106 177563852 1000000000000000000 4496453 4143565 4355182 3315557 1000000000000000000 814078167 177506849 616441322 109519656 1000000000000000000 938118652 210112136 506115497 722801441 1000000000000000000 710263900 598045513 615267817 197510404 1000000000000000000 863226613 699887946 371348981 584460810 1000000000000000000 508826171 353978526 69467330 358732269 1000000000000000000 623300488 397344611 611756002 526266184 1000000000000000000 617837743 180246807 482931095 188106195 1000000000000000000 299019416 64580801 97198340 235645069 1000000000000000000 78884817 33377702 60276312 20039200 1000000000000000000 647043569 364809065 282000989 158942048 1000000000000000000 29687081 12054133 27267943 24106630 1000000000000000000 443711862 314321420 149140664 226861128 1000000000000000000 358608758 47440067 343560436 141913187 1000000000000000000 360640735 302484880 221631021 117935375 1000000000000000000 615376383 282476125 580972557 219460723 1000000000000000000 13795647 12723075 8090291 9777980 1000000000000000000 23737743 6499808 7590899 8580385 1000000000000000000 490560869 80519762 81008013 399481875 1000000000000000000 996214270 431125216 591131388 391382320 1000000000000000000 73564074 69287822 60828502 43251252 1000000000000000000 972368829 144417526 833795096 552464335 1000000000000000000 253104875 127361420 23200297 235236023 1000000000000000000 357364705 80003760 88123713 348448887 1000000000000000000 201715189 155480186 157220963 110336648 1000000000000000000 448382494 89859185 73574711 341786395 1000000000000000000 61456633 32479297 60195275 27723459 1000000000000000000 704034912 24889414 685692139 657497922 1000000000000000000 581364253 533526676 460479682 110617003 1000000000000000000 793822204 421616920 349011006 496707695 1000000000000000000 218533213 30550148 199263356 117991425 1000000000000000000 105451993 72545461 83667308 41998996 1000000000000000000 469938940 239462447 411110740 270004071 1000000000000000000 396692908 162801069 181603940 205894097 1000000000000000000 72687862 26687138 20787936 43519275 1000000000000000000 547668036 489718911 262351908 444311800 1000000000000000000 170743739 118466704 28390759 697813 1000000000000000000 713026611 693627035 186663456 496029760 1000000000000000000 104637896 19836972 25142045 78753965 1000000000000000000 245586402 109842783 40170372 186665351 1000000000000000000 390132444 196822801 303440041 247463457 1000000000000000000 273496809 48092257 114607067 149859090 1000000000000000000 745459155 243103125 121341534 571814837 1000000000000000000 894890706 531488954 340849405 878201261 1000000000000000000 209969945 182113300 82800654 24940665 1000000000000000000 981119452 281809899 890909688 966549789 1000000000000000000 214560608 85551813 46700063 196323238 1000000000000000000 30249290 20266552 16377003 23308943 1000000000000000000 652324813 277323238 275293314 370374746 1000000000000000000 268207920 401936 115906927 16422214 1000000000000000000 97444251 82641350 22667230 72657437 1000000000000000000 485667472 415621760 386101143 427937929 1000000000000000000 406486171 262048332 124758212 373389605 1000000000000000000 212496992 189437454 113206414 95900815 1000000000000000000 853398566 532059306 661902188 416691047 1000000000000000000 71966037 62562970 66954953 45288783 1000000000000000000 919717161 122027751 444636033 489234465 1000000000000000000 58077796 14829244 21528430 57690428 1000000000000000000 445221806 259296930 295191319 92618519 1000000000000000000 668998904 357252703 5598217 563543101 1000000000000000000 566235478 231257479 160390894 3868057 1000000000000000000 85173685 73596357 50829148 63830130 1000000000000000000 684828753 631957293 623557574 357871951 1000000000000000000 762013224 17106368 498537242 350545760 1000000000000000000 912784054 395200595 161389543 842067622 1000000000000000000 244465485 29493114 240916328 172958035 1000000000000000000 62103719 55263313 23316195 53622170 1000000000000000000 339652301 148197044 111950644 132049002 1000000000000000000 149706043 3837269 65697812 72233530 1000000000000000000 174027903 104492858 126914356 139412921 1000000000000000000 239944668 182272565 33960188 116903185 1000000000000000000 382423915 35094997 316305008 81480603 1000000000000000000 665756955 507556423 25625484 622120076 1000000000000000000 799878761 541306498 43817177 142567237 1000000000000000000 521834196 257509996 56626705 98461336 1000000000000000000 84224621 38932442 72748078 82710657 1000000000000000000 101012496 96324099 35171140 84096747 1000000000000000000 318504722 273775803 15123539 298190059 1000000000000000000 745208692 257357719 653321251 106846716 1000000000000000000 381036871 250754608 116308387 97211394 1000000000000000000 465365709 430592309 181103407 218844929 1000000000000000000 326815601 26320550 97557508 125117077 1000000000000000000 566549141 485409238 324428364 538376994 1000000000000000000 33036951 31257851 32536842 17764385 1000000000000000000 416579028 155806527 145065427 325678725 1000000000000000000 991960881 702078632 476452853 330066454 1000000000000000000 149763970 51784047 103164101 128238069 1000000000000000000 724633776 455598662 706032864 44533957 1000000000000000000 37564521 34151436 7913353 28142227 1000000000000000000 793084329 695487690 25803014 223459735 1000000000000000000 862981637 615262390 804714590 651498563 1000000000000000000 585196303 194370323 582976674 69722384 1000000000000000000 861563644 174227446 634167561 234824645 1000000000000000000 611284850 2481128 277777959 12291921 1000000000000000000 126567596 123744303 101665105 81478046 1000000000000000000 673137441 317533398 607769005 106045889 1000000000000000000 104767898 11360874 91578947 19466691 1000000000000000000 55350538 30060019 34892412 34960900 1000000000000000000 881357072 220388591 144395699 742144335 1000000000000000000 874737183 94421837 402332930 240087917 1000000000000000000 452003028 100100972 94762319 305137342 1000000000000000000 61798492 5812278 53199147 14723452 1000000000000000000 221488970 97336560 198585423 186134180 1000000000000000000 615975926 485916226 405144079 329502347 1000000000000000000 284297701 253807692 108868850 246866459 1000000000000000000 665916705 585774081 195837534 426991236 1000000000000000000 981075153 418755469 738886937 486945556 1000000000000000000 820912543 762433821 448427997 188222345 1000000000000000000 888907244 560437762 255068147 422064841 1000000000000000000 998486744 663027504 288611683 527715705 1000000000000000000 769606755 674653348 188127011 139653566 1000000000000000000 501725441 357931699 165317564 388695753 1000000000000000000 543158743 387747535 75377813 311435184 1000000000000000000 578579326 140986948 401248351 2902821 1000000000000000000 122373590 24425344 47171579 92635640 1000000000000000000 997712379 284424224 114227412 922487198 1000000000000000000 637027581 340841826 510307923 207062299 1000000000000000000 724583973 676530852 289748232 170331589 1000000000000000000 248488926 123653358 148329851 68902590 1000000000000000000 921555783 33587220 741962636 118382718 1000000000000000000 595634836 517194423 162430959 344613026 1000000000000000000 3294520 966888 1775928 1090227 1000000000000000000 501486091 313766566 377215147 478315929 1000000000000000000 474023619 203948065 59043242 140291560 1000000000000000000 623656685 458846661 568894505 247255840 1000000000000000000 965199133 607104107 297208068 101497972 1000000000000000000 539045026 136983585 146544097 320463319 1000000000000000000 311118054 237391447 50704451 209029555 1000000000000000000 618522451 54165063 189187174 254311407 1000000000000000000 736478991 132932850 414641886 417107049 1000000000000000000 48994973 11857670 1098801 1391297 1000000000000000000 188247081 79393547 54817507 50515213 1000000000000000000 656002326 548379548 621584989 539861081 1000000000000000000 729017013 502766014 566126754 379443361 1000000000000000000 404840051 88207739 10350250 366883487 1000000000000000000 496188844 424947745 474252845 449917671 1000000000000000000 15153547 10464599 8333099 2444965 1000000000000000000 37442785 18583035 19760444 31530946 1000000000000000000 301873730 228327029 105091952 97885024 1000000000000000000 11965192 2852161 3804876 6815815 1000000000000000000 984824300 415294972 769029777 175769675 1000000000000000000 637348759 251126602 127657597 151844028 1000000000000000000 427717544 47718838 309071503 52723091 1000000000000000000 76868164 34699026 16700115 7419675 1000000000000000000 160891100 107920290 45815803 3058624 1000000000000000000 52021193 28993097 45898231 25805928 1000000000000000000 695955934 538160576 162784113 650412604 1000000000000000000 799329770 262079160 299306667 159338959 1000000000000000000 718299836 46955170 548153555 301974207 1000000000000000000 843915846 415143024 106171560 123854080 1000000000000000000 209031291 12671875 51603262 135014728 1000000000000000000 105206843 87642356 92545730 69964584 1000000000000000000 957020861 686012011 145855660 713631266 1000000000000000000 322580743 309217713 155686163 73500027 1000000000000000000 497762546 258880440 16615462 79270553 1000000000000000000 854106774 577913602 415346581 529445245 1000000000000000000 992480211 539497639 478612700 816353204 1000000000000000000 34424074 32400913 29377114 5941949 1000000000000000000 311956787 164209887 301687856 201016718 1000000000000000000 365242101 93698802 92540685 337933486 1000000000000000000 610756123 541456877 14851461 165664405 1000000000000000000 109190757 86972260 24722210 90044632 1000000000000000000 701021163 670227565 423722663 448278262 1000000000000000000 755556259 268604538 457703782 482005237 1000000000000000000 18729380 713632 18023499 8362204 1000000000000000000 25365725 12735589 17605320 17917836 1000000000000000000 31525063 15579564 10716203 10449221 1000000000000000000 951344617 77748216 185813123 186560061 1000000000000000000 215143973 171160433 36558156 13004938 1000000000000000000 785270231 580171545 335113194 32039804 1000000000000000000 813133368 329314007 671600449 664175097 1000000000000000000 302754632 191142512 230886040 246680120 1000000000000000000 850803565 214382613 672584540 472642703 1000000000000000000 457690525 455381140 248160469 39176185 1000000000000000000 284166135 82410358 181698366 266584051 1000000000000000000 172697932 139266060 76460530 63855102 1000000000000000000 323186359 16364117 302026670 241304541 1000000000000000000 327692867 197085841 199476458 204736125 1000000000000000000 262741723 114444993 167010109 77905337 1000000000000000000 622804169 186828382 20125325 302066150 1000000000000000000 56733727 1187302 46909549 13424311 1000000000000000000 365345932 365053111 189557984 34308043 1000000000000000000 855020343 83305276 521290576 631445934 1000000000000000000 222431118 146498565 42279759 72401298 1000000000000000000 733630051 301993803 98589718 348980031 1000000000000000000 217532316 83494752 169873530 61394110 1000000000000000000 874344693 603482050 504483184 355493149 1000000000000000000 897596819 78897693 447407018 511116178 1000000000000000000 349674568 35073160 118043027 83238118 1000000000000000000 434570202 389256475 349221976 412688187 1000000000000000000 381447427 5634769 236267989 243733406 1000000000000000000 184558534 9851222 151920681 8620909 1000000000000000000 412188357 35846084 321062452 322171997 1000000000000000000 401495344 52179623 251817382 185117219 1000000000000000000 456471854 206510234 121933089 178215895 1000000000000000000 142547186 88122169 92511330 37412477 1000000000000000000 391770216 212236225 323254625 46595042 1000000000000000000 278204378 9727334 229037899 103834143 1000000000000000000 957635246 418107691 682025155 208070458 1000000000000000000 323308968 45246566 58439276 128228788 1000000000000000000 459641292 46520842 191860731 324718888 1000000000000000000 250749809 188122884 105207283 23417750 1000000000000000000 377281153 75490116 121644969 123583158 1000000000000000000 335031343 313776398 284396871 250351640 1000000000000000000 869577868 648751834 392947075 63789252 1000000000000000000 356379438 306465313 315595039 285390909 1000000000000000000 9699137 1015233 8337695 2945551 1000000000000000000 706014491 4617347 483810630 475687791 1000000000000000000 649006400 468581864 496369926 72912134 1000000000000000000 934864233 655105172 906465402 688305334 1000000000000000000 799684090 151979765 527796737 511683194 1000000000000000000 537675117 258254317 480688230 386539682 1000000000000000000 691113753 547189153 552849784 85415082 1000000000000000000 992072226 424156940 915426953 376963094 1000000000000000000 783386179 255991936 760088827 398473688 1000000000000000000 73983814 2365548 70541749 65177974 1000000000000000000 450019645 236848679 96809517 227746796 1000000000000000000 378194771 104359579 90786899 304154731 1000000000000000000 977158796 906530235 740025079 445615575 1000000000000000000 291498332 124708824 140257988 204178782 1000000000000000000 78161893 58806611 47188113 58429046 1000000000000000000 624449145 42104504 527280788 543620352 1000000000000000000 746144409 243324093 353263608 129143304 1000000000000000000 178814227 41340451 106406151 27518760 1000000000000000000 564499868 520935030 226419388 392756440 1000000000000000000 369119345 203663243 328470484 113416947 1000000000000000000 165348041 163481060 57594822 19183206 1000000000000000000 691317104 296779371 666379320 242451178 1000000000000000000 166697084 58856223 159842226 18166227 1000000000000000000 546339906 175147147 263236717 95735808 1000000000000000000 220187049 4035066 208646741 121107876 1000000000000000000 447381256 269164294 67213062 1059934 1000000000000000000 815666461 609876435 784637921 792055282 1000000000000000000 126424345 38331174 97017427 8276580 1000000000000000000 887610448 700393953 833108321 99285891 1000000000000000000 61217642 26293556 44297433 251097 1000000000000000000 451176338 242887832 153562026 117605248 1000000000000000000 910499901 576289864 285985350 842081690 1000000000000000000 676151996 567941236 229424528 33578115 1000000000000000000 661003887 516018274 301819982 225850060 1000000000000000000 454046624 395669121 23760495 396553351 1000000000000000000 503571739 96196071 220449433 397026421 1000000000000000000 833980754 609416329 280089261 702633924 1000000000000000000 493859293 430452188 477911734 161391375 1000000000000000000 152324654 114991167 121094917 114730531 1000000000000000000 399871846 180771427 144243307 212284091 1000000000000000000 23312775 21852325 9379441 4249736 1000000000000000000 435578651 393725325 276316867 226534554 1000000000000000000 31609924 20256632 23403045 10432249 1000000000000000000 290380338 182783599 288542180 150117101 1000000000000000000 139358776 21616293 136557115 13915840 1000000000000000000 118323962 112463463 49210446 92257063 1000000000000000000 724391203 400113654 263533576 587142185 1000000000000000000 380910129 96348193 219354717 153729025 1000000000000000000 246091298 204717274 278389 20244432 1000000000000000000 970502321 254709832 624195434 824527433 1000000000000000000 410267253 43889832 235825325 303129486 1000000000000000000 404655151 15205702 359047157 77368425 1000000000000000000 197633433 187534758 84186683 166001340 1000000000000000000 142815516 30051374 126243959 30247022 1000000000000000000 583412505 171482053 212901229 580167615 1000000000000000000 541878572 498260869 242823270 2390499 1000000000000000000 507711254 125786705 327366515 206066549 1000000000000000000 162379216 16418339 131167532 74465372 1000000000000000000 467071923 460765513 152013290 393886469 1000000000000000000 399752358 310820667 133149886 46964670 1000000000000000000 415447220 284458173 132919906 108375982 1000000000000000000 978851242 32805203 220854263 311617314 1000000000000000000 475058022 384802025 269592587 879401 1000000000000000000 805042845 651663218 786705049 674166776 1000000000000000000 190087889 156555508 142873068 101249731 1000000000000000000 813597292 101743152 102008586 402257920 1000000000000000000 152306616 105265767 103585813 77592580 1000000000000000000 137733548 19989782 38077571 85142228 1000000000000000000 93532348 74367922 29162928 57210726 1000000000000000000 935158599 137089585 613976011 15761856 1000000000000000000 222958463 210179069 77892959 15928653 1000000000000000000 8606843 5553980 3841072 3033294 1000000000000000000 262186817 164307832 242566358 57329819 1000000000000000000 38561742 12642877 18611316 2512937 1000000000000000000 574488014 92003278 363482517 305180243 1000000000000000000 290242305 273071210 118508603 12357671 1000000000000000000 193112959 75937349 169934847 135876114 1000000000000000000 372128534 227193408 298603796 194304124 1000000000000000000 168010857 92602703 112169416 162134511 1000000000000000000 70233780 52626674 26575130 16769454 1000000000000000000 562747763 167137832 481691226 319937367 1000000000000000000 279764128 76846404 5864063 158686689 1000000000000000000 700521697 65594086 185350347 629154878 1000000000000000000 289740640 201461439 116564572 164842100 1000000000000000000 720637631 239284178 198705730 23981216 1000000000000000000 586517177 237351578 481943657 50567815 1000000000000000000 228559271 198557711 25036218 77243417 1000000000000000000 478177627 445313145 385350859 18651947 1000000000000000000 611515991 213277129 341170192 210282728 1000000000000000000 583734774 310932117 577643673 534540542 1000000000000000000 581819381 366257777 555627407 225963024 1000000000000000000 155614742 125299931 87095243 15194734 1000000000000000000 459672364 48448744 109535020 166974981 1000000000000000000 696946372 525701424 112511397 126124783 1000000000000000000 889175876 136828350 312211904 171239579 1000000000000000000 934627075 462934059 213006452 113554123 1000000000000000000 449093422 196257866 415385558 297373125 1000000000000000000 458375187 411294534 354234989 381990755 1000000000000000000 559552182 524870506 105801982 421846861 1000000000000000000 889986038 735562280 708211631 412090020 1000000000000000000 483368929 173365535 203451049 218219848 1000000000000000000 420195638 7588288 144397623 306668211 1000000000000000000 273479422 269010364 72878121 170834954 1000000000000000000 865424096 843432952 401039698 30984871 1000000000000000000 127188260 26082255 79209787 75596807 1000000000000000000 173222935 146305703 31337884 92460010 1000000000000000000 833621136 152850324 18384145 204359665 1000000000000000000 509700658 440190555 72502222 15126822 1000000000000000000 348556604 13249911 243822986 32757622 1000000000000000000 598770653 49655088 287747836 461464558 1000000000000000000 825311243 409395025 386913086 171371498 1000000000000000000 962425556 176681762 100882966 942051152 1000000000000000000 108138845 48695419 95312199 64504632 1000000000000000000 449552622 52549848 342331666 361655518 1000000000000000000 867844804 168219548 3919186 726314905 1000000000000000000 15189975 12425796 10643495 6705634 1000000000000000000 716620249 524769388 524576879 373989957 1000000000000000000 667044814 17722476 658865897 518894675 1000000000000000000 910225599 681176213 261228420 445674363 1000000000000000000 276468010 98611877 127448175 73444663 1000000000000000000 642506185 330737612 640076605 403545998 1000000000000000000 890921969 647745413 420166090 590272286 1000000000000000000 53962755 6532425 49597503 27817944 1000000000000000000 64528018 29542171 37327784 22107527 1000000000000000000 439182320 127639544 154535914 261486628 1000000000000000000 213336946 112918471 208283773 188363721 1000000000000000000 503354060 409933740 264328847 191424481 1000000000000000000 874088405 456553862 246261905 5047704 1000000000000000000 456876742 175847658 213935064 2954718 1000000000000000000 132926188 80719311 50089972 113256894 1000000000000000000 732772271 727047524 241976534 514859691 1000000000000000000 28830255 10107734 10505377 22958850 1000000000000000000 716782192 8953275 499994741 300934454 1000000000000000000 198971555 74936938 28778062 112654283 1000000000000000000 437845816 378921604 236444174 376519731 1000000000000000000 755606044 394401283 743557188 662488936 1000000000000000000 806225787 379333343 125496047 489168937 1000000000000000000 243482190 74287606 206361062 1938261 1000000000000000000 296757101 154410467 85984485 35634822 1000000000000000000 479753435 263128301 215885970 269020039 1000000000000000000 863576366 808926387 485424488 719425025 1000000000000000000 997634047 455881860 224285635 566101538 1000000000000000000 252536141 221314286 41396863 191386935 1000000000000000000 151365888 122847826 44131297 9873894 1000000000000000000 877688627 555168122 475937027 410984395 1000000000000000000 961666557 4997365 142084726 216417920 1000000000000000000 675124914 638128183 167591854 457056145 1000000000000000000 568421522 338438949 259575120 91250131 1000000000000000000 260134095 259270882 227607131 104292645 1000000000000000000 828809416 149302412 737761637 347766129 1000000000000000000 464699185 290005298 55531418 359157561 1000000000000000000 806247289 84309036 260020878 543908081 1000000000000000000 814364108 383671093 316926868 769680919 1000000000000000000 852620449 840106103 585572144 648417826 1000000000000000000 659943878 25124933 207806330 594977841 1000000000000000000 152448134 81395317 40817795 28113388 1000000000000000000 200428457 23387689 53830639 6904429 1000000000000000000 444087437 124836901 86043463 62028047 1000000000000000000 918567456 185257019 519742881 794023088 1000000000000000000 438891390 332718926 21732300 177027585 1000000000000000000 461939122 97987736 192556452 143511916 1000000000000000000 225405764 208382117 76322450 94860377 1000000000000000000 282770397 45044414 277102181 121150235 1000000000000000000 66452757 64256437 434243 17551174 1000000000000000000 822864847 811050185 157374797 458600875 1000000000000000000 909404009 91657411 201133305 443665527 1000000000000000000 986625128 837021660 114519922 613414435 1000000000000000000 931176875 689705763 533243905 85826078 1000000000000000000 698395155 560359962 234494646 304534298 1000000000000000000 819761923 796458103 631925703 603429150 1000000000000000000 839130003 621471024 613041931 192797527 1000000000000000000 839756784 81353006 423504216 630358855 1000000000000000000 475747182 236571612 358376529 393195450 1000000000000000000 48512412 46330465 46068067 38043500 1000000000000000000 224030564 98455320 32891272 95924812 1000000000000000000 736381378 229611305 293039829 312635264 1000000000000000000 749434912 18089378 144840624 49154766 1000000000000000000 469453346 468893151 303365253 193628919 1000000000000000000 607998389 543532521 23491383 40927711 1000000000000000000 694766923 495850614 673518386 383541822 1000000000000000000 711271123 191721510 206233289 697817674 1000000000000000000 30172333 13501943 19426851 8628288 1000000000000000000 190106089 55586825 52136693 108113206 1000000000000000000 281968315 69479111 75119222 147086525 1000000000000000000 443549377 371601230 112866027 238708620 1000000000000000000 772141110 507494183 354849229 176970987 1000000000000000000 238461707 123578142 222688290 3368985 1000000000000000000 169638261 2898175 48570611 162409385 1000000000000000000 39288552 32132658 7594073 16562734 1000000000000000000 182295262 15389475 1619262 51209443 1000000000000000000 597662149 370286640 408678597 108266809 1000000000000000000 226438945 28420131 142822365 106909598 1000000000000000000 805526615 489067502 184251537 244202416 1000000000000000000 583796967 366858414 392775041 536682919 1000000000000000000 729655668 702129007 690585286 333149171 1000000000000000000 477135075 106369571 260087337 337808901 1000000000000000000 832217195 513788753 261724556 80829710 1000000000000000000 783315227 30661440 638643636 411223088 1000000000000000000 326994041 55700054 80417986 234863881 1000000000000000000 843756091 42382558 62674085 75167148 1000000000000000000 474502924 445782280 80579643 303063339 1000000000000000000 765983862 293779781 739801281 462493692 1000000000000000000 483067294 419552870 148933067 190545322 1000000000000000000 651718401 293920169 131321912 212729237 1000000000000000000 278739434 119290224 114342043 10643571 1000000000000000000 667905121 191034254 475884145 168343027 1000000000000000000 87731809 6431204 39070995 82796358 1000000000000000000 816295436 607190447 628175636 253120474 1000000000000000000 646274297 275523252 337211418 642327492 1000000000000000000 686958322 675864469 607788706 227606102 1000000000000000000 187441034 22078647 2323558 168837975 1000000000000000000 173112270 99398792 129054830 15944854 1000000000000000000 346794651 62990968 32299900 290285019 1000000000000000000 167954768 111159900 43721927 116160309 1000000000000000000 311050500 212579701 290126426 162147707 1000000000000000000 782253331 214692456 263139626 96576494 1000000000000000000 166118404 110226815 156336087 143951752 1000000000000000000 325181012 135348482 232351704 27729631 1000000000000000000 432455263 131291957 168317254 340502200 1000000000000000000 981408058 247117522 162974255 911909611 1000000000000000000 329653648 22978930 308314070 216458009 1000000000000000000 139288394 125844570 80747306 111989724 1000000000000000000 740060587 671903236 460599092 470890156 1000000000000000000 942040508 391638562 220576729 449364185 1000000000000000000 128252767 38078040 66153931 75007091 1000000000000000000 611682402 32013666 103275590 230670576 1000000000000000000 954105807 451214910 820075258 753710442 1000000000000000000 564531496 404529913 358976423 27723500 1000000000000000000 386207852 379196444 23988053 45103006 1000000000000000000 891706954 731465342 695532650 260641338 1000000000000000000 901017086 111927241 834201512 346480755 1000000000000000000 954492557 168241438 623744280 180255645 1000000000000000000 956018989 402785728 86323558 587668751 1000000000000000000 403292127 353563139 137113302 320843574 1000000000000000000 946726760 840501125 148017371 30639632 1000000000000000000 749839184 344791222 115693390 417768170 1000000000000000000 25780985 420666 1518475 776883 1000000000000000000 365312934 221730231 41822284 131171779 1000000000000000000 999613011 548056699 922800672 962193548 1000000000000000000 1215023 336079 874800 1059248 1000000000000000000 838356854 226897886 637354822 448607769 1000000000000000000 734219041 382849301 441514861 207971195 1000000000000000000 284061517 62601484 270736591 102409458 1000000000000000000 737750246 306324751 420454166 611526673 1000000000000000000 217220393 105571705 174789531 74347530 1000000000000000000 223536757 118051446 200103311 164579716 1000000000000000000 260205284 71988618 73893223 210168 1000000000000000000 767630107 483720479 672437447 176430357 1000000000000000000 52822493 28738435 28806783 7716245 1000000000000000000 980085516 134947198 75033390 429455845 1000000000000000000 845399338 473335473 123605266 292263355 1000000000000000000 435391462 127728324 292623660 252323235 1000000000000000000 830070098 756300455 127066192 9863729 1000000000000000000 825279898 759278167 796291034 307172668 1000000000000000000 383482929 313110349 255580907 13949891 1000000000000000000 127518239 25113364 121181396 12034213 1000000000000000000 688639401 545630545 650771940 74918713 1000000000000000000 57374157 52290043 42990800 24605974 1000000000000000000 349415485 155307133 152751770 223692682 1000000000000000000 69227775 30451433 64369685 5643387 1000000000000000000 561351914 115550956 445475332 135693582 1000000000000000000 467548623 411604964 167181111 393617849 1000000000000000000 684056641 109313960 633345581 631916132 1000000000000000000 177900140 122819656 160919710 34304600 1000000000000000000 507517863 489402974 87474011 9824955 1000000000000000000 580773710 512193906 48649642 311910870 1000000000000000000 589522175 371526102 385290000 334845555 1000000000000000000 330447838 117680123 285506419 33491719 1000000000000000000 609375701 60182681 551708917 57625379 1000000000000000000 69318173 18087039 37961848 59929789 1000000000000000000 550567995 401261403 41484865 484044259 1000000000000000000 846169536 383220667 812164055 393051750 1000000000000000000 870887649 510300110 468943798 72844898 1000000000000000000 340707973 224120764 66907347 81145374 1000000000000000000 997053903 401707762 50962370 414101433 1000000000000000000 843936569 556490346 207503749 160413989 1000000000000000000 55291861 29869123 35293056 10600386 1000000000000000000 112510831 663770 48216628 88925291 1000000000000000000 595916764 586472272 581980917 281578870 1000000000000000000 176303903 95079859 117867465 161415236 1000000000000000000 240240051 158408298 16732894 60929035 1000000000000000000 831355844 362107739 506296060 266252784 1000000000000000000 830434432 337388371 135389058 796218411 1000000000000000000 808562325 766844513 441658496 376682485 1000000000000000000 598164330 211054197 218572948 467190754 1000000000000000000 746861247 176734119 695231906 177759034 1000000000000000000 482094896 471174942 190305669 17055137 1000000000000000000 727568122 1745961 205346234 372201069 1000000000000000000 91722820 90549459 23363017 5187324 1000000000000000000 7964425 2761126 4910812 5638702 1000000000000000000 181234730 106325621 34714506 57402448 1000000000000000000 772052492 695249971 423927843 744035297 1000000000000000000 533146050 68709917 111331216 331088654 1000000000000000000 858630357 816655127 644612598 121867707 1000000000000000000 391395635 186279154 8455546 143246575 1000000000000000000 322923975 266146398 98468573 288570237 1000000000000000000 257745479 218786262 75859626 229259156 1000000000000000000 821557444 162197534 270760540 815894996 1000000000000000000 369223666 286733293 175447764 285061258 1000000000000000000 246968173 199084292 109658491 211277839 1000000000000000000 563960812 67512756 274918140 443292121 1000000000000000000 850241533 290153857 298577090 641430302 1000000000000000000 393296114 120796750 315990564 210100262 1000000000000000000 200652481 6171456 194296925 165063950 1000000000000000000 195258957 7632337 172718009 47320575 1000000000000000000 604939561 317786419 41322455 436348750 1000000000000000000 876966470 673560093 61105920 861150478 1000000000000000000 763661957 198994146 73072249 646018799 1000000000000000000 740620122 34579124 157916815 1690416 1000000000000000000 936749691 563735545 652161500 755854987 1000000000000000000 295470010 284393372 251643355 101274717 1000000000000000000 931696855 652685562 216071339 102402205 1000000000000000000 4677075 833075 4292717 4080646 1000000000000000000 369452869 362473932 208304974 248709237 1000000000000000000 640713075 22334006 209691441 612558167 1000000000000000000 377842895 105953816 128974581 39423117 1000000000000000000 740053168 393643760 227919255 129132531 1000000000000000000 877591462 206843655 477445063 700746854 1000000000000000000 136703973 1575635 68867319 100133185 1000000000000000000 933464261 130211136 380720173 775070858 1000000000000000000 204956563 75797622 39866056 99926243 1000000000000000000 420438381 108468357 171735716 405957875 1000000000000000000 522797821 102433603 338031170 375323175 1000000000000000000 794993731 732765195 781050282 642194974 1000000000000000000 912233407 587229038 80867120 205562786 1000000000000000000 846103774 410013050 785400810 701223951 1000000000000000000 874926194 436976436 469884362 214252541 1000000000000000000 845120150 246738643 836074183 126153316 1000000000000000000 952452879 561352984 17651220 254181879 1000000000000000000 766649635 660946848 114412550 618522313 1000000000000000000 410020840 221508783 384343678 378637138 1000000000000000000 480508240 440975447 309431333 445132964 1000000000000000000 364054223 242735910 322471767 172618292 1000000000000000000 588224547 128347403 583557663 369710641 1000000000000000000 205352010 189859943 179866879 54123486 1000000000000000000 154047104 45576520 41610346 74848350 1000000000000000000 905083824 597431950 141375606 77108676 1000000000000000000 349961267 33869571 232438324 335426845 1000000000000000000 587834791 285061586 47005807 576091742 1000000000000000000 411732307 309725367 170573329 112688482 1000000000000000000 618224594 215850721 108652842 4957644 1000000000000000000 593666949 286136500 373714288 166568986 1000000000000000000 973610294 749355593 833996559 865029028 1000000000000000000 614777794 326703918 388889272 342711858 1000000000000000000 237003657 40080442 212662938 67562995 1000000000000000000 70731722 11485930 19740947 47603096 1000000000000000000 495872951 293295773 113511649 97461222 1000000000000000000 144462634 72204839 60791827 37149667 1000000000000000000 112196524 67839127 54570533 5269198 1000000000000000000 851243061 45806718 675024224 8594837 1000000000000000000 231840992 197744943 193721807 215800802 1000000000000000000 146108632 21212523 47366995 99164653 1000000000000000000 140587302 102707191 5593697 18363953 1000000000000000000 987249957 793961627 605413361 798701758 1000000000000000000 217973046 106280335 73862273 130056737 1000000000000000000 812069144 537721620 378020462 15377750 1000000000000000000 937649570 601532543 183868673 278513187 1000000000000000000 898251671 442937399 124575167 543713265 1000000000000000000 929903691 155857359 370786738 502498475 1000000000000000000 334868961 86334298 23873736 10487050 1000000000000000000 336006096 333623127 43941828 329987144 1000000000000000000 26065729 17653250 6510149 20404947 1000000000000000000 789950704 327167333 371142804 134954080 1000000000000000000 567549852 205472209 174990602 163823827 1000000000000000000 186630937 186219218 44731958 149869728 1000000000000000000 148851414 41754251 86884663 145067228 1000000000000000000 292456964 96847704 38808806 96963306 1000000000000000000 832183698 600847258 681224132 596533874 1000000000000000000 392603787 254038976 241169377 209986898 1000000000000000000 906534115 791843255 868411131 774290762 1000000000000000000 258425403 13524961 218097990 133783734 1000000000000000000 658360106 313429488 57488926 356598114 1000000000000000000 691778998 337591443 104356692 467519218 1000000000000000000 125758775 41655219 28620153 5804647 1000000000000000000 97660530 90679139 58390605 21650714 1000000000000000000 279945676 273380277 82448447 249601909 1000000000000000000 442653984 93976560 111803766 373917695 1000000000000000000 705785843 55638042 260284684 417260094 1000000000000000000 630661874 244975028 421107279 17251850 1000000000000000000 875155836 477129723 90477752 61543277 1000000000000000000 385101141 54945911 220213584 90927271 1000000000000000000 575310159 467300689 47261975 117657497 1000000000000000000 701204565 169448080 535831982 511631026 1000000000000000000 501194583 448610320 50543839 264049919 1000000000000000000 296852444 270040545 105613329 15621557 1000000000000000000 311943674 8173343 128032016 227691046 1000000000000000000 572918649 49989913 539509662 319095164 1000000000000000000 971178100 635171241 607941954 780132780 1000000000000000000 302902730 237850134 222884582 26732311 1000000000000000000 211685633 185321228 186343940 39922933 1000000000000000000 874684602 174620645 215622911 210243384 1000000000000000000 378703319 194567313 286540679 301976080 1000000000000000000 539580063 469160381 534061263 399339116 1000000000000000000 341075395 207528230 307116081 4428380 1000000000000000000 950963058 794770039 868126111 184006703 1000000000000000000 664719681 312442395 227873649 593748596 1000000000000000000 521861786 246931750 401570621 375701874 1000000000000000000 207527162 61750784 192600841 88748159 1000000000000000000 86908892 32195784 30480890 8138191 1000000000000000000 112569047 65567809 30647664 45896686 1000000000000000000 535985447 472855679 281303417 116279671 1000000000000000000 191280555 103445889 16067583 146453492 1000000000000000000 232713487 80967504 170469659 232090302 1000000000000000000 190492848 18050655 145073268 77110461 1000000000000000000 545463502 270266749 492798997 521177294 1000000000000000000 375309611 302002582 13373145 203477665 1000000000000000000 43797639 24004811 13129909 4895633 1000000000000000000 676096399 106171600 166059572 548639841 1000000000000000000 128118240 89028904 45721577 19009155 1000000000000000000 169774524 161657877 81085339 63539032 1000000000000000000 951345512 821560684 610102699 297401194 1000000000000000000 885342179 625227232 547249185 293432263 1000000000000000000 545977961 169525469 264543253 218490836 1000000000000000000 930091782 509951476 140757389 719707186 1000000000000000000 492412852 90487780 177786996 243609978 1000000000000000000 422191190 24483976 160212778 256460896 1000000000000000000 316782521 118596342 48235752 296435508 1000000000000000000 356170286 106313101 28402116 160233587 1000000000000000000 226540624 52677191 82568584 69201337 1000000000000000000 857151441 317934227 855420553 838090168 1000000000000000000 961025720 531563426 5269661 858973519 1000000000000000000 134788188 36765520 23621398 16010040 1000000000000000000 404627541 7733968 53263875 49761887 1000000000000000000 186193595 172884999 99523195 157566328 1000000000000000000 61832498 21498772 48005746 36794377 1000000000000000000 35465539 22919808 13690144 30342332 1000000000000000000 386329086 256797010 300867139 227414075 1000000000000000000 171426742 73376254 78250656 147592746 1000000000000000000 460653357 222301744 201747891 36103851 1000000000000000000 858738385 38975126 834925673 46795075 1000000000000000000 607974739 266960990 315695123 351089686 1000000000000000000 28502445 24977669 24851532 17445818 1000000000000000000 197730468 37192717 169204437 47320951 1000000000000000000 296619055 189462423 261037423 25514946 1000000000000000000 180733597 54708672 79014486 121491073 1000000000000000000 5975656 2581954 4027102 165197 1000000000000000000 168342886 15990328 165469693 51318718 1000000000000000000 993521552 792623978 492453954 377147766 1000000000000000000 589513174 36651430 447425165 259953100 1000000000000000000 385294391 225421960 213499425 59145633 1000000000000000000 4385305 3313116 3285467 2005447 1000000000000000000 730243216 134760897 383252489 583455407 1000000000000000000 582742359 291170271 9699145 453492184 1000000000000000000 919781258 660272909 88355820 236815994 1000000000000000000 833971013 222137113 606388022 426086497 1000000000000000000 618345546 234416443 354715160 470609609 1000000000000000000 137612030 130888391 5781625 81435525 1000000000000000000 832915336 785376050 524409012 611139628 1000000000000000000 732710156 394954353 150202749 627098004 1000000000000000000 895197157 319497742 33734403 179463729 1000000000000000000 985067621 410122655 5378819 92108253 1000000000000000000 589225460 4478571 336531002 210002781 1000000000000000000 295950494 38167035 19846751 230806559 1000000000000000000 689696290 134313894 115858597 292899956 1000000000000000000 189455234 104907027 36966395 69992111 1000000000000000000 830340558 126186826 308319481 597179574 1000000000000000000 161345177 54314630 160859037 33869535 1000000000000000000 269309989 120199290 103443252 211842595 1000000000000000000 224626570 113534386 61006331 130479345 1000000000000000000 517290308 505823246 495638781 307592654 1000000000000000000 827370203 608710915 291566131 777439003 1000000000000000000 278186314 228909810 82514773 265336492 1000000000000000000 351039748 209612286 252153888 285528659 1000000000000000000 263238327 92141063 32663472 186936759 1000000000000000000 81756613 25125225 33101541 80656824 1000000000000000000 588238091 490578091 581239027 425665329 1000000000000000000 458318064 291581206 322018691 413102508 1000000000000000000 348780184 84652601 170828852 113576578 1000000000000000000 268659970 115519128 37508662 84125942 1000000000000000000 353237111 227216998 152101294 38895617 1000000000000000000 757317610 73365952 559863708 403856208 1000000000000000000 951247459 853507788 423949520 318300416 1000000000000000000 627204351 1731670 2924405 235957506 1000000000000000000 460762430 273377506 170425064 334677725 1000000000000000000 274041771 29863635 94160725 1042713 1000000000000000000 645033206 607551206 279685401 630019487 1000000000000000000 482140364 10220409 365706303 424084990 1000000000000000000 159338273 55697092 84239866 15657799 1000000000000000000 159294330 65172419 79776808 111547497 1000000000000000000 829861537 221056224 704789982 50485752 1000000000000000000 681499503 541419903 317159226 196618382 1000000000000000000 574184634 162212082 542591130 566078583 1000000000000000000 52247144 47535141 27508934 42422807 1000000000000000000 838666023 728024210 468062174 78254352 1000000000000000000 909936034 734684131 519030760 843327103 1000000000000000000 718400294 554797356 694475124 495763432 1000000000000000000 469138498 328417128 126006643 8478140 1000000000000000000 983608950 98654407 700275614 761218075 1000000000000000000 132265112 9503810 15684913 39951210 1000000000000000000 941495515 16140182 134144985 307210351 1000000000000000000 355034741 294995066 92365756 345925101 1000000000000000000 337761753 307065025 152112862 130883452 1000000000000000000 331883195 205988430 146299866 219449716 1000000000000000000 138801596 55452639 89354438 67324299 1000000000000000000 601900884 516334838 398435657 91372848 1000000000000000000 444953570 362048411 48678984 131956958 1000000000000000000 106512907 81629148 51348786 11092504 1000000000000000000 35311677 1753849 8242694 18316221 1000000000000000000 788556207 784737780 226055615 638462823 1000000000000000000 910745299 417685068 791040587 91381982 1000000000000000000 250262122 72694823 146935949 2150533 1000000000000000000 87479462 38593660 77863810 42120628 1000000000000000000 381101450 28145558 14707896 218882493 1000000000000000000 676931457 571760318 175483483 416109231 1000000000000000000 129938398 113085145 5067365 120552425 1000000000000000000 71255270 25937724 15748140 39644091 1000000000000000000 504772682 1081950 113889680 361582433 1000000000000000000 903228384 637698118 822771272 672531791 1000000000000000000 450315672 364407168 335736613 432274745 1000000000000000000 756123774 653264745 313220530 549894568 1000000000000000000 254414603 104193385 159019669 11063618 1000000000000000000 515709484 419409207 90261483 451593808 1000000000000000000 853151891 460482688 317646466 825970618 1000000000000000000 105679361 90626171 50520337 39958815 1000000000000000000 890673956 213257387 490051652 214279287 1000000000000000000 713670468 670655700 446053478 244856774 1000000000000000000 822763694 125611267 517975012 10863799 1000000000000000000 713071485 225190383 344437643 9262854 1000000000000000000 30322749 2467066 2098495 9553238 1000000000000000000 813026118 626929467 169623536 158938701 1000000000000000000 848794171 709727504 792343326 583406994 1000000000000000000 492228516 62599360 177850958 306378354 1000000000000000000 243217705 210862516 4847116 64730282 1000000000000000000 745518350 55473324 31766449 646349663 1000000000000000000 67979506 6627924 53343243 47981250 1000000000000000000 218303008 174166232 54324176 104891946 1000000000000000000 135850162 131385033 96045940 111601804 1000000000000000000 828206702 301818059 298421227 707331740 1000000000000000000 252931288 125567985 159772983 163927374 1000000000000000000 392070576 122052090 374862949 243647150 1000000000000000000 539137510 437615983 177040430 531743961 1000000000000000000 436590443 424293352 86929670 356487212 1000000000000000000 847980833 596681470 605735320 279617343 1000000000000000000 629060045 521398999 435145745 376333672 1000000000000000000 793543809 246653186 26555015 260448555 1000000000000000000 531998315 14989632 300980968 229757766 1000000000000000000 568858611 438754689 124349476 432141231 1000000000000000000 132244257 112372438 50788966 36128711 1000000000000000000 29293226 14814831 19514789 7125999 1000000000000000000 555771672 25529226 289718267 378541472 1000000000000000000 125881524 52091964 29434383 3804912 1000000000000000000 391314830 209947570 280262724 85202969 1000000000000000000 110273754 37414057 25567586 35503964 1000000000000000000 558257779 238941969 342065260 18034596 1000000000000000000 891741844 821378790 725056018 690549553 1000000000000000000 781401027 252672281 90515666 781302486 1000000000000000000 973969769 229195961 249304203 774291101 1000000000000000000 561874286 307237687 320837044 84876072 1000000000000000000 954001063 938881560 595527473 215424960 1000000000000000000 636192886 305109174 514287611 247814497 1000000000000000000 386197199 315138706 260593865 247818696 1000000000000000000 965737913 642637834 218197548 472366545 1000000000000000000 281223199 109467484 192614043 179519330 1000000000000000000 354298018 351913162 155403122 334665594 1000000000000000000 464982676 160766158 435853419 247462755 1000000000000000000 178414938 3808473 70734332 64519730 1000000000000000000 212445941 29915604 5597667 169661365 1000000000000000000 768065252 325591501 43001734 72663325 1000000000000000000 403493220 21832644 279101655 174593072 1000000000000000000 768774399 51364869 141758941 366105234 1000000000000000000 675277344 283119641 116606561 6231921 1000000000000000000 449869984 336039425 76161278 305677719 1000000000000000000 564353907 464645117 28260130 227885326 1000000000000000000 253326498 50619507 8674116 236065647 1000000000000000000 216610970 81594017 80149168 119513869 1000000000000000000 985264399 503294911 240960088 611180340 1000000000000000000 396720886 191802703 81180186 209339840 1000000000000000000 909203095 731266571 233648811 75796549 1000000000000000000 909767551 328967822 257427118 271574713 1000000000000000000 200146170 1888153 152991586 112384277 1000000000000000000 640645165 526168905 383033959 267140076 1000000000000000000 307720634 125244388 62269066 6373997 1000000000000000000 484320509 387067911 160714338 144590281 1000000000000000000 768261452 284585089 258370693 46431097 1000000000000000000 137372298 4279681 64747749 75449620 1000000000000000000 438244254 226943015 19108180 127268390 1000000000000000000 428119957 1021108 161005129 72864178 1000000000000000000 366273659 47863195 263502263 153981226 1000000000000000000 149701657 106829069 137332832 143877743 1000000000000000000 361090393 330905486 59079009 225291232 1000000000000000000 13853252 251316 3559622 3125479 1000000000000000000 883609009 346758959 562569891 427810376 1000000000000000000 84838914 40913995 40019902 60997458 1000000000000000000 186764153 165501875 160168758 96542956 1000000000000000000 905997407 52562469 293697344 233031997 1000000000000000000 722879484 326085189 600742510 492154694 1000000000000000000 803753953 415395095 788854606 515037628 1000000000000000000 612055994 512137443 22863641 93296384 1000000000000000000 579755304 369513296 536677856 323465482 1000000000000000000 614840301 200202929 185997329 376295097 1000000000000000000 971815591 24596551 687729898 456024509 1000000000000000000 645503632 198447306 49899398 622887294 1000000000000000000 410430374 242547719 273816215 327911693 1000000000000000000 351482955 120832104 152127557 335823461 1000000000000000000 400047743 388149851 193340303 217560212 1000000000000000000 311453395 135574986 178453778 101136550 1000000000000000000 445242871 118649964 323639015 30519792 1000000000000000000 648872897 370517974 166506510 234950780 1000000000000000000 284743446 110600582 65018732 48023723 1000000000000000000 794076455 189470727 228066437 422461991 1000000000000000000 848129972 538849014 348023648 327011 1000000000000000000 969320388 612403932 96611721 54076754 1000000000000000000 489094681 449814376 179561945 313517411 1000000000000000000 822883615 124380973 279520760 3674094 1000000000000000000 905096650 572810711 629868638 675904140 1000000000000000000 20330960 4633340 1901165 8946350 1000000000000000000 49148221 48019988 6969849 4703809 1000000000000000000 767886756 556124502 685451471 702819796 1000000000000000000 305227071 163058528 210947514 123180093 1000000000000000000 323739789 262943898 249908005 287196392 1000000000000000000 686529035 680545770 534350361 303954160 1000000000000000000 664734769 52528918 328551388 342948864 1000000000000000000 184622094 117208907 42113698 59344767 1000000000000000000 809689352 567511304 92535493 304537434 1000000000000000000 27753602 5519803 10745494 13545333 1000000000000000000 945883457 464468350 651657837 614849911 1000000000000000000 309027731 197194097 260883198 152641452 1000000000000000000 781483647 180800080 691127199 302893977 1000000000000000000 877457773 833095083 703729101 112137719 1000000000000000000 52256259 674942 43350191 3343284 1000000000000000000 911084320 161686506 790166776 274154903 1000000000000000000 690168255 122962434 678380605 139969880 1000000000000000000 239412143 129726867 161085078 165707895 1000000000000000000 90507870 13149068 35246894 63577402 1000000000000000000 28341730 14548059 666609 4563688 1000000000000000000 470052926 197101886 211245702 33379371 1000000000000000000 207335406 133304910 165448558 165177394 1000000000000000000 475680050 384183528 232905430 343168290 1000000000000000000 853931664 801722502 205044081 41931147 1000000000000000000 903959454 162666070 443580193 244633307 1000000000000000000 542971484 7428218 335946398 268830192 1000000000000000000 554054571 55546872 90189538 30337620 1000000000000000000 887220671 719935972 554850877 402501399 1000000000000000000 709955150 78953346 522862599 337364296 1000000000000000000 77885014 19627511 32993870 6095425 1000000000000000000 411228328 387861645 135447668 331542084 1000000000000000000 301197611 137271509 66854390 180692460 1000000000000000000 585613127 114850802 191091491 88119617 1000000000000000000 47795557 15737696 28271463 24767965 1000000000000000000 935392114 379907550 923750249 484089636 1000000000000000000 467878196 104567796 3879510 134308222 1000000000000000000 203954379 122336128 160624117 176052422 1000000000000000000 485073738 360020297 146099165 53513945 1000000000000000000 753874800 41355895 660725458 747443732 1000000000000000000 198854004 162699965 128025703 12876223 1000000000000000000 8918953 640892 5968862 7270512 1000000000000000000 331204024 273724990 16267348 128428161 1000000000000000000 824125163 783409589 295006111 579494528 1000000000000000000 172314077 11819898 143511629 98942029 1000000000000000000 415483936 300150562 387903529 194132778 1000000000000000000 902376728 852869993 742311050 823877184 1000000000000000000 903908520 461044493 614793451 486239955 1000000000000000000 819739278 442890475 76293720 50494645 1000000000000000000 67327597 944473 22660740 43934655 1000000000000000000 371715972 194140561 251394409 121652849 1000000000000000000 427053328 350191511 42811881 348074502 1000000000000000000 368068383 112860505 237247894 263640835 1000000000000000000 475566833 151245352 93457175 76139651 1000000000000000000 395244801 94324632 380865192 225241694 1000000000000000000 861089273 82818601 187571796 769054149 1000000000000000000 909600032 736678665 877002370 452104033 1000000000000000000 400747359 108308040 35873943 336882850 1000000000000000000 911849316 269699804 756553344 795272642 1000000000000000000 715710318 425522003 307344585 514911383 1000000000000000000 223026397 24345649 54353807 33149797 1000000000000000000 908329147 678166718 341860070 555130223 1000000000000000000 538877627 247122889 423150584 38474216 1000000000000000000 640687930 185546949 127787332 201790512 1000000000000000000 989592488 175278709 916035049 314262937 1000000000000000000 19623619 1986736 17302028 19118213 1000000000000000000 445199857 303489068 55233166 104464724 1000000000000000000 534347669 365573401 347653741 413906094 1000000000000000000 519994236 94663914 103950446 204448411 1000000000000000000 817704642 772706497 499840706 807143373 1000000000000000000 982148046 238865284 35619047 828614460 1000000000000000000 797772354 624156722 488079184 663260344 1000000000000000000 67946171 41531498 5786858 52069517 1000000000000000000 227553785 67969232 128480808 159062640 1000000000000000000 326209994 28416728 221455626 315146910 1000000000000000000 459194962 411705375 5423997 286472770 1000000000000000000 131026368 52245584 126498915 124665446 1000000000000000000 383490949 110915471 155490248 250276127 1000000000000000000 146114791 48446513 69407902 113641914 1000000000000000000 445820122 2456590 237037313 224571422 1000000000000000000 394467377 148120500 305289853 162119830 1000000000000000000 648743764 71510090 34605315 458429487 1000000000000000000 830409271 357553227 44321862 264653534 1000000000000000000 333394065 82984989 110104968 89876747 1000000000000000000 940410946 598117900 61709056 283681429 1000000000000000000 641497149 400485391 217159719 614324241 1000000000000000000 689733825 406639029 603728061 225058421 1000000000000000000 598694208 207390008 278050358 331761009 1000000000000000000 32792264 1575247 12362198 11046963 1000000000000000000 561427312 173493130 68549692 490841172 1000000000000000000 81872880 46992777 40832382 3512835 1000000000000000000 367391299 41422426 36814975 34602699 1000000000000000000 76163390 46844436 27516247 10141598 1000000000000000000 151713428 86264713 139281162 35209340 1000000000000000000 730026200 397677189 50160615 156724528 1000000000000000000 250518442 234317031 140991611 64709187 1000000000000000000 230839420 139921221 125537775 66731964 1000000000000000000 206174052 2729670 153447914 142469728 1000000000000000000 662938190 594218748 255302544 340706047 1000000000000000000 36051086 24395182 29531676 6624646 1000000000000000000 117043269 41184800 87547793 8250837 1000000000000000000 375081638 216353007 145247659 50245112 1000000000000000000 168378800 45675117 120902032 135764836 1000000000000000000 500094753 255697279 112739103 460450324 1000000000000000000 804803368 682782334 525424952 455436684 1000000000000000000 475538857 207782970 123739981 169888852 1000000000000000000 361055060 279166682 143927376 42842579 1000000000000000000 213557350 157219968 149061421 50641265 1000000000000000000 621456194 499876468 68169138 313138774 1000000000000000000 796436320 189344619 578668901 270086167 1000000000000000000 751975478 704577655 344275014 420647112 1000000000000000000 692041362 414189160 179521056 109416993 1000000000000000000 47408386 35741232 10533599 1310295 1000000000000000000 302958741 140679794 103282317 131799282 1000000000000000000 457520559 73219864 251150388 339308752 1000000000000000000 409133090 77320425 68782232 8793862 1000000000000000000 410177556 203057604 9287120 214347531 1000000000000000000 182668808 118025739 152476502 54454481 1000000000000000000 41098400 17372415 5111150 21852706 1000000000000000000 829488949 246379106 507256224 515242873 1000000000000000000 814493692 297248953 511698811 331098741 1000000000000000000 156715275 116052784 95281014 14909775 1000000000000000000 476770285 16958871 333583102 456323673 1000000000000000000 637236348 401471027 327375388 346736273 1000000000000000000 475057935 377126072 308164304 339773263 1000000000000000000 796453852 223773106 3091268 408940646 1000000000000000000 866508828 139279429 42973859 39657312 1000000000000000000 335415315 18757287 127021651 39193696 1000000000000000000 25642889 4913056 17256251 12469923 1000000000000000000 435519850 153427043 91052000 307184679 1000000000000000000 943261218 367164721 491245113 558973652 1000000000000000000 19706556 932523 17189693 4288892 1000000000000000000 803795457 487160831 253667738 560136851 1000000000000000000 177136215 159050694 10237034 90190806 1000000000000000000 45419788 6624435 6872329 15458293 1000000000000000000 526604288 230160734 246289430 263640147 1000000000000000000 581835681 513976484 152781498 377790172 1000000000000000000 402803368 206305344 111256850 373340425 1000000000000000000 745010131 533065131 579966986 391397675 1000000000000000000 307157847 182950035 7218474 102596522 1000000000000000000 369230074 70809185 92571815 201538711 1000000000000000000 476243769 191967266 235972421 178076902 1000000000000000000 830486454 325173887 13036341 390232720 1000000000000000000 977552739 35210694 432122014 901181732 1000000000000000000 689716480 434050391 88128031 514581812 1000000000000000000 473891775 297232407 169341904 440654622 1000000000000000000 916490945 669260692 502436624 286938482 1000000000000000000 728206714 284760535 297768955 587254418 1000000000000000000 795379197 634841036 626767649 755063458 1000000000000000000 14866262 4997274 9073469 13648852 1000000000000000000 597218973 477869805 301473994 505129378 1000000000000000000 517151974 177220890 93110960 211653320 1000000000000000000 426196103 216881689 366616139 420303199 1000000000000000000 217507869 137824430 92145938 195389983 1000000000000000000 138403720 57294217 103267789 31879186 1000000000000000000 39537188 34714889 3169004 37899608 1000000000000000000 435815569 310473640 252863525 112203875 1000000000000000000 221740782 131693960 96830868 219741079 1000000000000000000 414759320 108545098 146802939 193946596 1000000000000000000 321939937 230673268 209177075 190377685 1000000000000000000 331673167 99796085 51831941 135465605 1000000000000000000 386736133 3777660 183231483 114026597 1000000000000000000 167521984 160580757 23706300 90571860 1000000000000000000 527915838 424834771 131387633 153813264 1000000000000000000 526109804 498719936 217316490 289124208 1000000000000000000 961173314 441241234 33498382 764463374 1000000000000000000 67018011 52472987 29253494 58188326 1000000000000000000 118666315 78602091 52861326 45169054 1000000000000000000 457862682 221827082 52646409 252779752 1000000000000000000 272507210 48101166 38686779 213892941 1000000000000000000 255872861 57193212 180305850 234623270 1000000000000000000 975420716 684528641 250150654 426797051 1000000000000000000 16194294 13881088 988893 448315 1000000000000000000 145895041 76422576 71015555 72358531 1000000000000000000 506546521 306934936 246826373 242844463 1000000000000000000 511249303 68085763 355427946 237076288 1000000000000000000 274347857 67630919 241876283 62419455 1000000000000000000 295937487 233377688 126655331 244640406 1000000000000000000 665420631 633217325 543633646 619590717 1000000000000000000 268276082 172313072 1397525 141542971 1000000000000000000 508427313 237612253 321336948 219400112 1000000000000000000 585161027 140192662 479337004 65168902 1000000000000000000 283298376 147870378 119835409 81886156 1000000000000000000 400899151 113887338 296902105 344621671 1000000000000000000 149308591 67694659 124837227 59606980 1000000000000000000 418194280 195581956 355503245 103058515 1000000000000000000 173785091 26775454 55330181 166283115 1000000000000000000 50228924 34087838 10140605 26814827 1000000000000000000 73071811 30902604 38692854 21757731 1000000000000000000 907756933 418888529 575990169 887920508 1000000000000000000 317781364 15717338 175340420 307285964 1000000000000000000 360960915 130339410 232243816 252039891 1000000000000000000 147663550 44474367 24743041 20304247 1000000000000000000 694078816 135207819 51251066 503839206 1000000000000000000 820927676 392229032 411677919 578161874 1000000000000000000 301121816 259061703 230115540 108300912 1000000000000000000 244442240 226830169 221847959 49914297 1000000000000000000 904999329 603013826 3001117 887809135 1000000000000000000 439930365 157948226 228265122 415735891 1000000000000000000 503314652 171049311 178678810 56687128 1000000000000000000 157046622 96214813 109110594 113544710 1000000000000000000 698776546 119347278 108014688 262015227 1000000000000000000 886197953 272344231 765016762 533177188 1000000000000000000 219726642 151750216 72430193 215355972 1000000000000000000 632201657 592380660 601172402 350054278 1000000000000000000 262937459 214168379 90639 29867328 1000000000000000000 780754019 513773161 629834256 168760780 1000000000000000000 942301761 902666690 695265244 568518796 1000000000000000000 433142322 203602306 282875510 15633724 1000000000000000000 459541637 432565312 382905099 404516965 1000000000000000000 671230990 533805417 669046632 256593865 1000000000000000000 674581597 205151623 597134353 616365410 1000000000000000000 959445160 455619728 707372930 564763286 1000000000000000000 570995001 116013543 379518380 170797311 1000000000000000000 788485069 83203907 485697705 611206730 1000000000000000000 765287543 657424359 639545745 140432926 1000000000000000000 279385591 183900873 48470449 96426144 1000000000000000000 476524908 449646730 33189485 354142859 1000000000000000000 897994981 325996222 96764818 775953160 1000000000000000000 507826053 25393962 154099493 131631288 1000000000000000000 530339033 465856445 178265297 451728604 1000000000000000000 140710081 126423797 110344764 65085688 1000000000000000000 715259997 533295039 188902892 526352019 1000000000000000000 152032239 37399502 122022941 33258809 1000000000000000000 525085093 183789296 445268651 162136883 1000000000000000000 343673267 16238643 168234114 62743222 1000000000000000000 203409701 57911147 113222426 121545597 1000000000000000000 248197636 46524766 176707498 213451188 1000000000000000000 689205318 79412793 269642457 385385771 1000000000000000000 761346334 553474573 759000276 77886615 1000000000000000000 670958613 615983280 339415980 627160068 1000000000000000000 25973795 5762125 8547187 2565806 1000000000000000000 332858865 16633771 239613949 78817488 1000000000000000000 299707499 269745458 269374494 33179324 1000000000000000000 313886304 46976096 281294119 142972384 1000000000000000000 406476708 54179683 223017231 101059421 1000000000000000000 179751243 161960777 150427037 158059897 1000000000000000000 908633189 326207857 157197327 827280898 1000000000000000000 247816289 161332708 208553533 40956312 1000000000000000000 535778321 32402950 25633697 223938023 1000000000000000000 56561147 35717936 20230090 21034348 1000000000000000000 816214489 110008890 217441287 745158427 1000000000000000000 671928995 451324800 653017284 577216580 1000000000000000000 615433958 354448250 282401202 571358005 1000000000000000000 206726147 190001706 1750338 44045284 1000000000000000000 102949288 28069673 14533801 23115966 1000000000000000000 717921494 62127704 706479574 699103718 1000000000000000000 772132954 534440782 6047194 194463925 1000000000000000000 258849098 211780267 58804687 99674929 1000000000000000000 970562161 421492109 891420385 834035440 1000000000000000000 769411549 694139195 495451565 8127325 1000000000000000000 669698840 298076236 595730274 462673153 1000000000000000000 463972359 52400386 324768754 282986139 1000000000000000000 385948207 337987654 356776345 176131240 1000000000000000000 351924995 247333006 189558966 169729521 1000000000000000000 377032174 346587504 176949600 82768519 1000000000000000000 749717827 655755112 390979877 625071000 1000000000000000000 138154056 61905973 1630583 78404156 1000000000000000000 826312328 184517913 749409956 495618383 1000000000000000000 800235737 384228498 503974413 493078596 1000000000000000000 406213195 1350739 402794308 73871016 1000000000000000000 940267303 232334030 511104738 584433247 1000000000000000000 724947113 654140421 284232443 691942730 1000000000000000000 668195041 427058753 43156799 370485514 1000000000000000000 206639469 188857330 43448936 73729394 1000000000000000000 298132156 56014653 58239003 113393460 1000000000000000000 804711014 372601850 424595855 692036768 1000000000000000000 668028417 72894201 397887127 149508340 1000000000000000000 367889441 361987367 367879154 192418917 1000000000000000000 844235615 312184936 450875323 32693432 1000000000000000000 46222663 38859800 635966 18448614 1000000000000000000 586957445 419469438 98162690 103380550 1000000000000000000 792097064 739043117 617829037 781462264 1000000000000000000 773517452 673650752 470344308 81246208 1000000000000000000 721096841 502676626 102261130 328372981 1000000000000000000 151081949 106449530 98751318 16960061 1000000000000000000 113029539 93385383 15269644 93887256 1000000000000000000 205810465 197845660 46900834 85013407 1000000000000000000 772613264 761129679 178023167 653757784 1000000000000000000 202492873 193464953 118328459 32924631 1000000000000000000 778710006 151957509 385825692 319920428 1000000000000000000 443581813 373427657 9629143 72097642 1000000000000000000 823349418 746158587 798720055 162177077 1000000000000000000 210371307 61154993 30401700 66799297 1000000000000000000 693627995 461837240 262746176 352133173 1000000000000000000 311532999 232719290 147289078 32791808 1000000000000000000 938991277 163335089 430239310 439864630 1000000000000000000 418572710 397379275 255621319 67624318 1000000000000000000 359274877 255281584 18563842 230383703 1000000000000000000 347123303 228372521 293711625 243574341 1000000000000000000 293047231 288927310 234977565 120225334 1000000000000000000 949200104 58151006 326498301 205875184 1000000000000000000 324744744 309114467 179622039 21387526 1000000000000000000 329266910 56367676 322862503 43189447 1000000000000000000 337374227 160406178 317311469 162135182 1000000000000000000 509506 39856 90916 350637 1000000000000000000 942414354 867061938 558560970 167454940 1000000000000000000 842704708 303936989 542428840 581578638 1000000000000000000 92971928 82613996 36121411 68115387 1000000000000000000 13546427 8218003 5828795 4174564 1000000000000000000 581489473 268569380 366996229 528383861 1000000000000000000 468089713 219219545 114709272 218343922 1000000000000000000 582603304 558952634 69217837 218572543 1000000000000000000 301982397 5649180 164726622 215351866 1000000000000000000 34077530 7855546 11075713 30179953 1000000000000000000 56372145 43399441 29410552 28744647 1000000000000000000 504730727 429430644 18901086 408818435 1000000000000000000 972403368 363772321 396845029 597279389 1000000000000000000 911941566 901302286 785965652 252334654 1000000000000000000 849964934 471530504 418059244 378865220 1000000000000000000 767053290 17571026 160152732 618166073 1000000000000000000 972700579 532096680 705957422 776962163 1000000000000000000 73535416 34445020 44524159 57996218 1000000000000000000 316795754 111947770 228335386 176638136 1000000000000000000 459487597 86064150 232295994 169145973 1000000000000000000 145075385 124601288 11737532 52138795 1000000000000000000 3067905 1160910 898795 1779936 1000000000000000000 801616598 413791447 178631319 174895580 1000000000000000000 972587705 150633018 317676404 655548440 1000000000000000000 350870178 316567221 56917298 204617655 1000000000000000000 811484909 799237577 102326246 186773330 1000000000000000000 2117976 342223 1795467 2115801 1000000000000000000 316717597 91870249 67475143 296682460 1000000000000000000 402519965 64224898 301525407 292832414 1000000000000000000 148282830 122147445 26559051 40456076 1000000000000000000 353825263 248106417 36070150 338816508 1000000000000000000 387467482 65342963 273604873 295849560 1000000000000000000 481642781 232244026 95061820 424221614 1000000000000000000 24257825 662022 10103461 11492717 1000000000000000000 589341331 145801151 588294092 412510297 1000000000000000000 615939195 438163827 178228983 347470996 1000000000000000000 75232851 8276057 51944375 12133557 1000000000000000000 518332975 118010014 500727573 401216418 1000000000000000000 526614133 29465531 157937728 210996367 1000000000000000000 465256085 427407004 364960107 51085916 1000000000000000000 737337497 710004507 164056036 105040539 1000000000000000000 855713603 597041604 19806901 593710929 1000000000000000000 84422922 5322028 62015487 71984731 1000000000000000000 163073667 34648003 97800479 123934508 1000000000000000000 47116002 35148069 38189776 42925863 1000000000000000000 997005360 257343104 919116803 124298772 1000000000000000000 177347757 76312714 115899091 60267515 1000000000000000000 119137039 100502076 3271150 101445986 1000000000000000000 659528652 400724706 39024850 49384997 1000000000000000000 212168565 73076622 94895409 185157853 1000000000000000000 627087582 351897418 141280364 494520902 1000000000000000000 986359105 545680896 293801026 408635964 1000000000000000000 7918108 3373292 3662003 5722294 1000000000000000000 712470286 432441162 575975676 435420731 1000000000000000000 841343503 394900818 216627218 371166218 1000000000000000000 440491784 385127390 317740754 76285751 1000000000000000000 124496472 91498815 66110013 100951655 1000000000000000000 798385568 563267900 148585887 578692616 1000000000000000000 873036391 631632598 132834345 821464858 1000000000000000000 38658926 28951179 18995931 14867968 1000000000000000000 547841556 474904259 397785788 148265048 1000000000000000000 530136141 492849601 184839272 355327471 1000000000000000000 211841471 157996180 189297239 181755939 1000000000000000000 700710248 279348047 622855403 103664283 1000000000000000000 26578063 16718556 11424555 2948314 1000000000000000000 818406305 631493378 614035986 629919548 1000000000000000000 217254285 49429566 50314041 56885247 1000000000000000000 892917804 784269167 356664943 395109770 1000000000000000000 878131066 573503442 503287313 833826191 1000000000000000000 497454055 49305628 81048115 186539558 1000000000000000000 426892611 295467687 280079770 133969756 1000000000000000000 533669458 361385866 494470619 366147504 1000000000000000000 846995112 360763650 569471376 92000361 1000000000000000000 473739718 135903701 242785046 70434033 1000000000000000000 672822203 386603940 113642483 172282228 1000000000000000000 251963232 248898600 149678006 172466517 1000000000000000000 402958174 47811129 41424944 37608869 1000000000000000000 837623717 451717027 626072520 210823891 1000000000000000000 800657314 176591035 463230630 336917297 1000000000000000000 950181873 916284908 694933589 768919991 1000000000000000000 753958652 43724077 484241392 497601325 1000000000000000000 373370003 101464950 294645683 135751127 1000000000000000000 874964250 378673040 761955597 260491644 1000000000000000000 896992147 594130205 808093807 834002161 1000000000000000000 433321486 214599671 319178536 109166767 1000000000000000000 281740935 85978213 68449280 202194080 1000000000000000000 889965722 372295758 504192158 733177918 1000000000000000000 152345203 33655048 113775289 87295139 1000000000000000000 201758623 144138374 61008068 85276308 1000000000000000000 613489250 147860713 353276703 122682635 1000000000000000000 864826873 517602675 551300829 226285587 1000000000000000000 553602525 23860153 82604078 474853983 1000000000000000000 392504391 283756051 5472167 48850137 1000000000000000000 819669505 720405459 769759209 505791804 1000000000000000000 639190078 270559870 381580370 243416541 1000000000000000000 168187204 48085364 131680796 76618180 1000000000000000000 180475967 56615322 84503051 1329588 1000000000000000000 204390561 66549959 71119890 43304696 1000000000000000000 539802658 367875357 9497000 142697835 1000000000000000000 44461702 30081322 36424983 26278237 1000000000000000000 775354614 648589568 149012148 360967236 1000000000000000000 970926037 908865561 613008213 198494737 1000000000000000000 707263108 676405470 245994254 175123625 1000000000000000000 245014367 48905298 188879647 9314176 1000000000000000000 333547320 195484376 206150245 135806957 1000000000000000000 424035508 370427166 284087159 351331304 1000000000000000000 368395390 322416302 162450435 149599434 1000000000000000000 666385710 301162357 165683907 662467863 1000000000000000000 698297223 33871133 21563798 93866434 1000000000000000000 883287126 338916587 873359207 201768103 1000000000000000000 111699365 58547772 71524539 70116413 1000000000000000000 514318577 438202095 19087873 512617244 1000000000000000000 292313336 163784144 168237998 17456898 1000000000000000000 984489185 866344561 583424445 734694329 1000000000000000000 567343688 539768202 497142616 178101901 1000000000000000000 851285993 610983160 105259999 231912370 1000000000000000000 930073667 1210220 102356321 436585648 1000000000000000000 19793301 1436766 16059332 955814 1000000000000000000 392629521 236138260 140407070 157104130 1000000000000000000 118718360 58467843 58303910 73957043 1000000000000000000 654172783 521164615 521995151 478519018 1000000000000000000 42634382 6069493 18791139 5255204 1000000000000000000 976290132 125709088 21536320 863128983 1000000000000000000 360938521 114360478 77039355 74091464 1000000000000000000 936656406 432540553 269462779 155523328 1000000000000000000 242173087 130086851 135273530 55600792 1000000000000000000 927345182 435443134 706055500 143302318 1000000000000000000 746584337 358114349 244188322 509386700 1000000000000000000 317869868 179912609 206099826 181540649 1000000000000000000 82575069 5827484 56229429 9345909 1000000000000000000 259217402 189688297 253962355 224232517 1000000000000000000 724422678 392088114 459245975 91883710 1000000000000000000 881726084 57352207 273701554 106928227 1000000000000000000 500287967 445006649 206654892 351235731 1000000000000000000 681826773 44955519 533324190 28231228 1000000000000000000 166604856 141777058 140341518 49572262 1000000000000000000 322237742 57439368 21537870 227706156 1000000000000000000 233955633 77311085 141658316 46647530 1000000000000000000 449640860 74878677 355743924 103883489 1000000000000000000 790822437 774195794 398805233 90535220 1000000000000000000 278405877 196872445 155070992 258574331 1000000000000000000 470347157 105576556 9329796 26781814 1000000000000000000 738599425 574509942 700779426 122131149 1000000000000000000 64067130 55631671 17584768 27950037 1000000000000000000 815059044 1381842 331783892 802604874 1000000000000000000 758414713 26299142 529025712 569511691 1000000000000000000 149603681 16109316 41436238 82997640 1000000000000000000 242372089 13698291 239712497 129695806 1000000000000000000 775360228 729691248 340642825 735831139 1000000000000000000 771957070 258406846 490181938 729423543 1000000000000000000 186193457 131757059 169228218 163539618 1000000000000000000 154421722 8062585 30538869 16780264 1000000000000000000 861547549 164053634 98744988 305514788 1000000000000000000 316838433 145282725 284433191 87127427 1000000000000000000 907637992 423173659 92172540 764813764 1000000000000000000 720206894 665790099 710389352 161637703 1000000000000000000 542121757 413500838 434179309 62535075 1000000000000000000 792893672 721359153 576100143 155474102 1000000000000000000 7477665 3166445 3854656 3171345 1000000000000000000 416991333 173026148 99383394 225283366 1000000000000000000 189700873 174613847 170508452 169948219 1000000000000000000 927142380 230774414 557542197 127477480 1000000000000000000 797563525 489293846 257297071 270462456 1000000000000000000 875310068 460666310 9816674 790145008 1000000000000000000 409942029 148234798 292608479 1065662 1000000000000000000 628069763 586859232 31149741 311434626 1000000000000000000 657267387 72960382 488524094 497170136 1000000000000000000 520387706 431194324 505581166 180906544 1000000000000000000 124815966 8364478 35750143 118389372 1000000000000000000 943245910 832634277 493274161 603200245 1000000000000000000 963680211 465577856 535305756 209220632 1000000000000000000 763216228 548797154 686769573 405776006 1000000000000000000 138512001 102318224 133339010 89343246 1000000000000000000 989143564 55968439 857272927 750557254 1000000000000000000 190311736 148023458 54489970 150935210 1000000000000000000 865415467 509600567 726255719 305234184 1000000000000000000 818068714 794878087 818005238 735952796 1000000000000000000 90262984 83062364 26598334 74959308 1000000000000000000 364252926 272002834 171491153 287322167 1000000000000000000 81515955 58558373 71943894 66425412 1000000000000000000 724044240 336597817 606802005 377544494 1000000000000000000 228322226 220211559 78975945 43836199 1000000000000000000 700969061 358622617 656483293 366127625 1000000000000000000 956653671 236989822 626100134 204355801 1000000000000000000 90243820 24948126 71633161 76714769 1000000000000000000 725806015 322740261 679208412 179331995 1000000000000000000 941147918 305595510 30502604 510859087 1000000000000000000 61162882 6626128 9911726 3149473 1000000000000000000 292139220 144057404 51162422 78859280 1000000000000000000 343003389 246763632 178950123 64258931 1000000000000000000 674702010 636489727 109005980 287530766 1000000000000000000 189148942 117358509 177715390 39837194 1000000000000000000 118265788 68780262 86860154 5047610 1000000000000000000 780143743 761790118 666219799 39254731 1000000000000000000 797695449 463562446 632370712 271589594 1000000000000000000 912407313 19630298 381688059 209818121 1000000000000000000 15867263 8293888 7146009 15606218 1000000000000000000 6267068 4670269 2512490 2644099 1000000000000000000 800129149 471623630 792065909 113143134 1000000000000000000 583878439 473294078 255648743 290857281 1000000000000000000 512633370 385396329 472431514 313013269 1000000000000000000 504979329 390051440 224817384 271095727 1000000000000000000 827979616 741223103 476229556 212812863 1000000000000000000 505972246 377905328 56074097 312779632 1000000000000000000 802751126 759568854 773923834 111723043 1000000000000000000 537007977 252908356 314754635 258271602 1000000000000000000 266684657 45357104 14842825 140780915 1000000000000000000 887773420 529750465 193565938 734410156 1000000000000000000 752621873 615573106 573182616 119361264 1000000000000000000 600165804 53982402 162734138 47338670 1000000000000000000 482194582 460672866 367530372 156921978 1000000000000000000 150165532 16394175 113784050 1337092 1000000000000000000 774222702 89095033 353777144 351763287 1000000000000000000 734740451 381052835 323311233 727062650 1000000000000000000 800177766 464814536 174180689 208272273 1000000000000000000 68050266 62544459 19441447 25939704 1000000000000000000 877964693 184170282 4459697 661300353 1000000000000000000 143092374 138108129 79301610 86754784 1000000000000000000 162229835 48921982 49586871 132867599 1000000000000000000 513187837 106985610 58944175 339829847 1000000000000000000 239182503 161908810 216575508 173644743 1000000000000000000 459730499 228647730 81138526 72106755 1000000000000000000 31911944 2481374 13693949 3983034 1000000000000000000 645938601 541994595 546958890 270186126 1000000000000000000 42662092 2476163 16141082 3989489 1000000000000000000 649889759 258074588 232250894 543418781 1000000000000000000 331581716 120171125 181713205 129959110 1000000000000000000 834622697 252107745 492982676 544104523 1000000000000000000 121323014 61801737 51828614 73518306 1000000000000000000 46799585 14343268 30724655 1653028 1000000000000000000 992195707 909272434 789892392 323394834 1000000000000000000 523668875 478444125 357888206 130132726 1000000000000000000 914136438 393066631 243750457 451193068 1000000000000000000 703160827 120785747 455252806 410501582 1000000000000000000 474858774 104373098 117209678 236672683 1000000000000000000 575611670 279033363 115345982 315204198 1000000000000000000 349441960 279830795 18027477 155721231 1000000000000000000 998113768 455837699 286089475 353722494 1000000000000000000 492099563 181259185 176722428 83303586 1000000000000000000 528331544 472457832 131214034 415637775 1000000000000000000 62354891 48362397 29857081 56858645 1000000000000000000 78696031 28044487 35758657 41244529 1000000000000000000 600873576 300228954 511960109 31860604 1000000000000000000 359689583 150575932 343519921 40958931 1000000000000000000 167226544 90745832 145164218 62185288 1000000000000000000 30560712 20284813 3013737 17822637 1000000000000000000 98491702 12240661 38038847 28160033 1000000000000000000 190978667 18162909 16878467 178897838 1000000000000000000 781687789 19593394 578402492 12222057 1000000000000000000 500939892 320476796 406823293 234421435 1000000000000000000 492129002 48996258 414091881 96149250 1000000000000000000 610321932 130660893 93507406 404344092 1000000000000000000 254613917 108965112 25421877 154624917 1000000000000000000 992046634 99867538 231256556 206621375 1000000000000000000 286337733 187221239 89205792 255820021 1000000000000000000 2204169 864957 1171290 1536940 1000000000000000000 311097879 293002179 91529088 309606027 1000000000000000000 173083467 94283601 108895370 28272481 1000000000000000000 84421562 62653401 17063940 52715661 1000000000000000000 252310204 197118949 226008054 82701130 1000000000000000000 946789808 786106796 514877928 385239399 1000000000000000000 119004395 78475594 18923527 112890421 1000000000000000000 463324381 300239646 215159803 258787751 1000000000000000000 382050373 2112849 31274341 102318535 1000000000000000000 198047314 41425481 48548996 149011538 1000000000000000000 404794977 240891478 115394814 268386283 1000000000000000000 773343065 502739234 754226826 534605095 1000000000000000000 276167783 243656034 200055986 167374624 1000000000000000000 758926024 534339971 368717577 80603429 1000000000000000000 78724287 11416948 24463968 3614579 1000000000000000000 271766550 174866664 146034004 52094072 1000000000000000000 141471975 99719730 15978056 97634326 1000000000000000000 91736368 80381618 77781684 12763704 1000000000000000000 680113524 188486615 25153272 58883146 1000000000000000000 9964391 9347934 1607023 4714148 1000000000000000000 589132609 83494010 199904075 429640625 1000000000000000000 147227688 52102997 100158787 47158259 1000000000000000000 745337239 116727944 528955717 567603315 1000000000000000000 329199466 132514807 235305961 102176669 1000000000000000000 554702914 220623137 71817452 412061426 1000000000000000000 340715001 216468418 289993958 136275398 1000000000000000000 766704599 430917554 362825000 592583862 1000000000000000000 811518842 602967425 610902759 371256639 1000000000000000000 707278932 106950472 492091361 413780670 1000000000000000000 257178564 182222694 21848814 104444147 1000000000000000000 742996621 296577374 571679259 80727738 1000000000000000000 183185082 125405127 145776810 71217550 1000000000000000000 50177552 7784499 47852632 26643357 1000000000000000000 244072952 54338324 232508642 234849978 1000000000000000000 577870090 126634668 266863265 259683339 1000000000000000000 598217860 411419765 375681523 82582105 1000000000000000000 437596513 118146875 391481145 398094466 1000000000000000000 3868092 1923931 3189723 902792 1000000000000000000 57175343 6730042 16719907 25552721 1000000000000000000 357807268 50712121 196897553 187322158 1000000000000000000 330783530 271169159 108667074 189433161 1000000000000000000 927133489 515469459 356626176 389610087 1000000000000000000 192720200 58058071 160851109 110070071 1000000000000000000 499752682 84708466 98796973 495120607 1000000000000000000 817183690 313610162 43579210 419480899 1000000000000000000 505204276 349483443 71635180 377432919 1000000000000000000 718960267 375863002 431526613 270790758 1000000000000000000 596757137 172417378 53199930 87434141 1000000000000000000 960620583 734478732 883389772 650077288 1000000000000000000 333887453 303013233 216177258 54442730 1000000000000000000 945938638 616156341 734800070 84376346 1000000000000000000 144224069 54876616 43215188 34618033 1000000000000000000 765064712 301456964 20288283 116218168 1000000000000000000 8386032 8214678 2382127 2053154 1000000000000000000 962645287 462106723 247332828 373990118 1000000000000000000 953466860 608812406 723057458 816798392 1000000000000000000 511267909 299556617 233922715 219677196 1000000000000000000 836279558 820142267 636933141 4925181 1000000000000000000 925232052 29596139 381511880 651407797 1000000000000000000 504990573 87661806 31940498 144484501 1000000000000000000 912973081 597593926 793595753 341749005 1000000000000000000 140805854 75124995 115252110 59136363 1000000000000000000 916714119 693355216 186506799 445343025 1000000000000000000 179554958 158528515 91300743 137661773 1000000000000000000 311527061 64764412 202355752 107709054 1000000000000000000 280477794 235093227 268353956 22375372 1000000000000000000 800637155 528981993 532080421 504640932 1000000000000000000 871908470 377555761 664962983 818416243 1000000000000000000 250480512 76417156 235016734 8466976 1000000000000000000 607064966 51258852 212409415 120851595 1000000000000000000 846269605 774299249 140075567 784488518 1000000000000000000 558749408 404113555 389658529 441359994 1000000000000000000 983689590 679124701 572885442 40396717 1000000000000000000 754896458 210304309 717812866 436848559 1000000000000000000 793298286 296093758 271335107 416446212 1000000000000000000 535195951 199367308 630756 176251272 1000000000000000000 372534048 61559997 212715853 60412519 1000000000000000000 983626623 680642844 938878305 543869681 1000000000000000000 528984074 450726371 504816794 376918038 1000000000000000000 182675856 147064923 106971554 45777428 1000000000000000000 646983960 154280850 166822532 534713952 1000000000000000000 942368589 740388968 520019865 641535398 1000000000000000000 154493885 116569617 132927769 25714212 1000000000000000000 214624433 44099514 4431383 124748814 1000000000000000000 293518481 216951971 167170639 259455242 1000000000000000000 932604364 163401056 386266696 822424340 1000000000000000000 66330775 53998598 53816734 63833869 1000000000000000000 299008481 5819769 268276664 243250965 1000000000000000000 746369476 645613924 708769 742525769 1000000000000000000 863856509 592923303 383494696 72343771 1000000000000000000 844433112 284227878 151752586 732395052 1000000000000000000 658546516 459140345 394066838 459108688 1000000000000000000 825074672 634072993 46788327 704958059 1000000000000000000 358594731 261735280 222937655 279815874 1000000000000000000 962125917 430650506 488502709 449072847 1000000000000000000 626014800 270303764 316010152 587431910 1000000000000000000 631539367 102199058 408984956 516883186 1000000000000000000 20493188 13704438 17036970 11105991 1000000000000000000 386838493 79195965 309353796 161942128 1000000000000000000 236071394 206962167 200412840 169841185 1000000000000000000 236307277 139765739 130361270 151217307 1000000000000000000 459481434 107248484 276497950 152256033 1000000000000000000 254741912 72875840 125661779 251952896 1000000000000000000 707394912 323318406 629372780 662773726 1000000000000000000 277304987 18615945 68276855 48218488 1000000000000000000 185178769 146551741 46619317 121324639 1000000000000000000 805020588 533366138 549495432 39359249 1000000000000000000 607552276 49302372 485872267 465191928 1000000000000000000 238422781 158666994 64067005 129673983 1000000000000000000 768908976 91121788 88527307 403791063 1000000000000000000 762880860 517396150 607147728 374536904 1000000000000000000 957873504 311092267 152569154 2427782 1000000000000000000 740812429 197250470 707597810 524316717 1000000000000000000 676605150 25624064 411524122 297762165 1000000000000000000 242756077 30746074 18729277 8240530 1000000000000000000 403300042 13726238 130895864 273705389 1000000000000000000 903693277 257327956 830567470 606501238 1000000000000000000 755084808 113676501 456181172 450268555 1000000000000000000 308573401 13445962 283494677 13222365 1000000000000000000 992024595 834632132 977343774 413002959 1000000000000000000 925565346 189655944 820841123 819178617 1000000000000000000 272638987 8212095 236085809 1915177 1000000000000000000 423084918 319728130 213533800 137059329 1000000000000000000 295745682 241382386 5118716 268791555 1000000000000000000 971076313 415067670 354339171 467307930 1000000000000000000 670745999 365763065 189033523 519188916 1000000000000000000 356132482 309782836 181937906 205453307 1000000000000000000 290060010 23011724 204064298 107620718 1000000000000000000 916855085 5406491 894302332 740121850 1000000000000000000 284411941 217735074 223347963 249086462 1000000000000000000 848187288 628514873 458359291 632282353 1000000000000000000 376498264 156390241 57057571 134506638 1000000000000000000 371998383 302334698 68710063 12726888 1000000000000000000 826732222 291281257 166640546 803602262 1000000000000000000 99988979 54956736 66857298 90734937 1000000000000000000 142603224 74165092 4399276 61400831 1000000000000000000 396980851 212281841 194606952 269249306 1000000000000000000 300770224 134910464 172985686 72247208 1000000000000000000 790032623 714498724 245565508 746839755 1000000000000000000 236897774 231497559 42703885 92312567 1000000000000000000 970352663 619670566 331241101 435974416 1000000000000000000 929426677 825690463 412949807 279927596 1000000000000000000 225431947 82871207 136878522 110305477 1000000000000000000 809677458 148170322 242916631 625468711 1000000000000000000 932793849 760241473 323260837 58937574 1000000000000000000 932888311 365084387 919320905 515703838 1000000000000000000 318143077 233416786 287801175 296091928 1000000000000000000 529928641 349227731 521832226 123574453 1000000000000000000 196692232 62047505 146682901 131953460 1000000000000000000 927378566 412732688 524994535 435448856 1000000000000000000 237576170 20099675 124072792 220037653 1000000000000000000 308444821 303300466 77192670 55907967 1000000000000000000 932966074 842665092 217407830 804036001 1000000000000000000 677324951 151436252 626277000 646652728 1000000000000000000 171636103 99650203 55923084 108421680 1000000000000000000 670969047 611439391 344136054 266605058 1000000000000000000 408424271 202024585 361200720 309685036 1000000000000000000 691597294 280247340 394750516 66385181 1000000000000000000 746526919 416441021 732489262 289437992 1000000000000000000 127619763 34416810 92635002 39118688 1000000000000000000 807798596 107562903 444447598 705395536 1000000000000000000 251310479 85345473 204525562 77876073 1000000000000000000 813002417 211125103 380048305 738576699 1000000000000000000 154325153 71100853 43694707 75091204 1000000000000000000 259297857 198824986 160449717 255564327 1000000000000000000 427797056 43982960 187439029 74572567 1000000000000000000 650987532 8163285 621852970 330993541 1000000000000000000 237014027 121821881 103090547 16290820 1000000000000000000 735685399 733188609 611875627 17753477 1000000000000000000 878505976 854547718 597085299 472284035 1000000000000000000 952413274 287888554 148917528 837682809 1000000000000000000 946375349 764046781 9050739 280821627 1000000000000000000 595697402 545611129 412056667 583016480 1000000000000000000 906167030 278797514 527007384 433374851 1000000000000000000 898999664 163545894 25917252 220587511 1000000000000000000 234850007 181478127 34485814 191248226 1000000000000000000 738085453 13697985 4871954 475867496 1000000000000000000 635226327 237723489 554281456 385444593 1000000000000000000 146727053 15771198 18324735 113714043 1000000000000000000 209728879 21285437 206927904 78716099 1000000000000000000 368179056 291540226 221301915 188068070 1000000000000000000 120697281 82690383 67876409 3034905 1000000000000000000 901008079 8319951 891758707 147905650 1000000000000000000 113404383 15533802 56352601 10207123 1000000000000000000 419972039 198625138 255818181 322048743 1000000000000000000 278247991 262506303 261306016 224537904 1000000000000000000 926368881 290375417 51406624 212338604 1000000000000000000 898006422 8237300 371398516 212009744 1000000000000000000 829419826 691498531 335192155 716260686 1000000000000000000 420735962 331525092 268753528 223861821 1000000000000000000 219141417 143238685 199238897 182929179 1000000000000000000 704797148 267656129 155596764 362625652 1000000000000000000 264065276 220769896 190468699 97480557 1000000000000000000 454801481 134546986 432593010 117995487 1000000000000000000 73355426 61691572 15200016 24236449 1000000000000000000 864049617 361475965 819031556 232121188 1000000000000000000 419739477 17858125 192054494 3744692 1000000000000000000 581119627 386171732 30953067 356667517 1000000000000000000 852541126 313009682 113677993 456311106 1000000000000000000 555044972 187688397 477081932 171411027 1000000000000000000 9102040 7111132 7252346 5661436 1000000000000000000 647283585 641941807 416875425 628299799 1000000000000000000 574993688 136905026 540002375 257264348 1000000000000000000 719407075 573433982 72028910 243208090 1000000000000000000 305357582 54317900 248424862 203316957 1000000000000000000 573253031 448306285 537257399 543688151 1000000000000000000 451066743 40635532 286561370 149303066 1000000000000000000 468063205 74569245 350449097 159869370 1000000000000000000 449166853 444380856 25105081 446031827 1000000000000000000 36149200 19504846 24835260 34911319 1000000000000000000 370053918 2997349 66857373 279178193 1000000000000000000 558493004 88072048 230854228 537206010 1000000000000000000 624392821 479365427 91217472 129689624 1000000000000000000 134388423 6438653 122031780 120539826 1000000000000000000 191298417 115508615 2234029 162151988 1000000000000000000 396604356 364704900 80070315 236267895 1000000000000000000 427910916 208311532 352605014 292451277 1000000000000000000 963098668 691217580 626950836 726454638 1000000000000000000 623450215 285044607 421500256 273454219 1000000000000000000 792058726 149409551 376496649 748160511 1000000000000000000 944531172 75188699 177957202 385153740 1000000000000000000 416918886 153735674 19322135 148438619 1000000000000000000 555864294 555452664 518940063 134277514 1000000000000000000 444211486 61775146 163347501 406205029 1000000000000000000 504197765 216312479 108716754 298419739 1000000000000000000 496561305 22504841 470588846 246609768 1000000000000000000 713545384 696574002 599312207 312122637 1000000000000000000 643596108 191805097 175950611 428348759 1000000000000000000 650137812 415533754 321206113 612774569 1000000000000000000 685393477 305100612 205262646 501956281 1000000000000000000 511098727 221261289 144205162 430163334 1000000000000000000 3238002 2155760 144403 2327565 1000000000000000000 43057281 12207356 14062368 7912779 1000000000000000000 108193815 8617750 98175015 59954642 1000000000000000000 775784327 347614456 677289372 391851239 1000000000000000000 423136348 177724324 215388024 274803559 1000000000000000000 664630736 464077164 379038849 611428725 1000000000000000000 532910671 274109438 284845755 104751900 1000000000000000000 293058033 144969254 248415335 9167797 1000000000000000000 99654332 62121257 33696085 51807242 1000000000000000000 749348142 321312634 374211243 16536542 1000000000000000000 790609169 595567085 404558524 401304742 1000000000000000000 583291190 387968768 581667550 556154735 1000000000000000000 34589153 28329639 2643635 10574529 1000000000000000000 807330790 327966280 738277911 385648338 1000000000000000000 987459904 618348722 96377038 876047055 1000000000000000000 771736273 130537374 762806990 512127441 1000000000000000000 520131979 175471845 495670885 258182447 1000000000000000000 336008677 80494695 56121671 174812583 1000000000000000000 168252931 107725059 115880129 102013290 1000000000000000000 192963104 148815935 54194266 149644287 1000000000000000000 574770683 99450541 30555431 272975560 1000000000000000000 122655012 83187766 118831521 22727731 1000000000000000000 214087258 199362852 34042607 143590721 1000000000000000000 41394057 2435619 17319779 39559897 1000000000000000000 361031893 151969973 217351982 205717388 1000000000000000000 347700249 29944275 208958481 110060193 1000000000000000000 152933364 35707426 93846334 42221807 1000000000000000000 842952445 822914369 436940106 546544385 1000000000000000000 769283260 523293525 233238528 159928649 1000000000000000000 450277737 20959251 20906668 248415854 1000000000000000000 996793167 736702483 5274393 270148403 1000000000000000000 427476923 69905247 221150289 405061786 1000000000000000000 582439038 367590375 356607553 440853837 1000000000000000000 87814170 14362696 32282066 58306330 1000000000000000000 774913570 427057889 381324396 317640394 1000000000000000000 208760307 104599744 120487162 137007475 1000000000000000000 619429297 508124244 324304379 217289659 1000000000000000000 927504777 478087800 891786882 520097385 1000000000000000000 742353786 60817133 306068553 584910361 1000000000000000000 33305524 9164122 20998130 23841710 1000000000000000000 932706932 3829964 895282814 931056944 1000000000000000000 767344250 6298831 655377636 368274335 1000000000000000000 393866973 149446602 291983112 119023090 1000000000000000000 118408544 104953490 52407392 110340355 1000000000000000000 30597952 18677116 25516078 23649397 1000000000000000000 101483131 64543188 15134841 83671112 1000000000000000000 647186265 116968607 376430363 524907434 1000000000000000000 468911826 160813393 84656341 208824970 1000000000000000000 831968747 47482932 274916905 427769497 1000000000000000000 347057484 271011269 183368383 247015608 1000000000000000000 132541795 124229858 30597538 127315336 1000000000000000000 508579583 359916795 30384201 97371620 1000000000000000000 405343705 212145353 293862802 138763517 1000000000000000000 312968698 59854653 249256168 78238109 1000000000000000000 274219594 22266265 164408350 206084515 1000000000000000000 398468290 89137393 9815829 323569379 1000000000000000000 639535132 156838290 519562036 299636210 1000000000000000000 24972522 20803276 6440319 14638110 1000000000000000000 895209595 291459610 626867037 156560811 1000000000000000000 453118885 302716417 40225035 52446005 1000000000000000000 770922000 345669333 551961841 241119955 1000000000000000000 595224916 405856974 39282853 565853864 1000000000000000000 726448265 257805543 606349779 319961743 1000000000000000000 64942383 64191179 30884671 41739173 1000000000000000000 617994183 245222355 49425191 165704901 1000000000000000000 421383637 299034263 251885907 271395344 1000000000000000000 872789227 138681886 583746457 255425503 1000000000000000000 573946125 45198815 452478749 49893110 1000000000000000000 482479564 430944030 32013221 259293236 1000000000000000000 769511549 693751140 294348052 87383502 1000000000000000000 338162214 206698261 108973654 50701259 1000000000000000000 420771976 145591414 655092 65578421 1000000000000000000 904902966 691655732 276183723 634568177 1000000000000000000 571437575 39304604 66063639 145116790 1000000000000000000 140294230 127702172 14043700 55890186 1000000000000000000 26553693 22228812 9344369 22422648 1000000000000000000 379149898 262564808 91194349 374735523 1000000000000000000 953983046 172698039 700574200 791714541 1000000000000000000 443421437 328495145 397592019 383968948 1000000000000000000 368488304 326803938 113979828 307027390 1000000000000000000 407973358 390584466 242716534 390815393 1000000000000000000 587435027 164292825 175493355 566167416 1000000000000000000 643481663 408888794 87413376 268619447 1000000000000000000 631133679 424150567 299898987 283326086 1000000000000000000 734324909 691157530 297574691 500061299 1000000000000000000 229046808 126067475 120408959 96303267 1000000000000000000 821906642 311993335 604101477 677331175 1000000000000000000 184552305 107781959 90217296 66577908 1000000000000000000 388465310 211815487 268761609 116479721 1000000000000000000 795065436 128868229 334499025 615847872 1000000000000000000 512267947 7283836 501486139 240284234 1000000000000000000 72454810 56384871 13397021 58832412 1000000000000000000 967175782 115000675 85636460 558283164 1000000000000000000 857982621 195977295 218687251 311116563 1000000000000000000 833820641 278400475 381394350 531946276 1000000000000000000 56751233 13589114 16120333 36921978 1000000000000000000 644651617 30707162 133384738 130997959 1000000000000000000 648739168 19131036 602763003 394214532 1000000000000000000 381736249 238992694 21781240 309089463 1000000000000000000 167854674 60832467 11279640 75360579 1000000000000000000 447564634 245133523 340461903 89708093 1000000000000000000 802693590 237731224 408551760 476744472 1000000000000000000 5149586 3544458 468278 2850199 1000000000000000000 907164661 541957662 548188849 892849321 1000000000000000000 364163977 284470688 180061309 63101752 1000000000000000000 224052348 199218191 206342403 98641426 1000000000000000000 316619401 245372723 33295136 65254299 1000000000000000000 685611111 309878195 168466789 646147911 1000000000000000000 610942405 481003383 505725537 87739456 1000000000000000000 467048063 234203359 98666187 112846164 1000000000000000000 728186475 727401877 527765850 580621023 1000000000000000000 400889231 83668672 123700945 118960884 1000000000000000000 540094963 155650471 196534591 39688156 1000000000000000000 475972318 276213139 13976578 334887530 1000000000000000000 254093767 123469392 215914297 24289283 1000000000000000000 154983058 147514462 77607067 130819953 1000000000000000000 672474916 308238941 87288920 502179142 1000000000000000000 846203778 168442824 622708482 292229448 1000000000000000000 287119658 817427 49619239 236377033 1000000000000000000 399397859 253356886 329571130 178546613 1000000000000000000 139443870 54228361 108895155 58465478 1000000000000000000 670039742 262169578 66263132 45167041 1000000000000000000 50048637 24126778 23439410 34723121 1000000000000000000 148482693 146582324 37345544 8346068 1000000000000000000 791528754 703228795 730309226 360717360 1000000000000000000 480080865 346443145 81665845 185220413 1000000000000000000 250951286 191794594 204173357 205217101 1000000000000000000 464166119 290178015 355682404 171737155 1000000000000000000 664578655 566133909 361187711 53341077 1000000000000000000 209356179 178363939 182047067 1916142 1000000000000000000 274930113 135819585 97078601 38691379 1000000000000000000 411196080 66907737 4214117 90893166 1000000000000000000 405993795 184667005 321487662 340508283 1000000000000000000 650571973 249182552 541984463 569814676 1000000000000000000 119282287 80164976 49367261 62390156 1000000000000000000 412491802 398545644 38859885 46300029 1000000000000000000 558566358 237412989 235206878 213070921 1000000000000000000 334738981 69383144 245413344 67831113 1000000000000000000 49879442 40769890 12366056 46042869 1000000000000000000 993447981 39550707 400919780 103696942 1000000000000000000 540427047 364789004 270374175 332329083 1000000000000000000 204734073 128829041 159978075 177433371 1000000000000000000 511049126 8143081 141988984 245478003 1000000000000000000 917856270 177691962 586536286 741335240 1000000000000000000 764194027 663614600 205586921 266312605 1000000000000000000 222363677 184999967 115488469 124852578 1000000000000000000 651771955 499992984 469538548 546083158 1000000000000000000 746549273 265477918 512387990 237159969 1000000000000000000 170637047 63597611 157088991 14491620 1000000000000000000 79773104 31615317 47715089 42960092 1000000000000000000 875818875 594188139 469874724 135067639 1000000000000000000 914434682 425325601 517896539 120048006 1000000000000000000 864593708 264247894 351445864 551054963 1000000000000000000 920803446 651668397 186038237 411976464 1000000000000000000 268766535 146819550 211509884 220379890 1000000000000000000 231953944 177183636 115613448 62320194 1000000000000000000 622613303 173436698 323387444 230735266 1000000000000000000 585889169 317314164 221801647 335513457 1000000000000000000 888409687 552672530 10487675 870732712 1000000000000000000 872228174 867132504 516194405 535316813 1000000000000000000 414508190 147093081 406741266 392359100 1000000000000000000 767951292 248868569 298063916 49708491 1000000000000000000 551509193 137217126 349402120 345616537 1000000000000000000 616136162 113572480 459401629 377143311 1000000000000000000 432012325 410841770 289104810 214318447 1000000000000000000 855554346 700698639 287928219 407100709 1000000000000000000 448464786 40360942 352786557 151840114 1000000000000000000 647850723 301591688 488444687 639006471 1000000000000000000 990130380 629503622 188263617 574941412 1000000000000000000 392091622 76398349 185796233 321323940 1000000000000000000 164500846 56148297 69268392 96010529 1000000000000000000 705781119 533316677 317885627 149679553 1000000000000000000 367530902 82299436 107975925 254085890 1000000000000000000 620624851 584640759 347760141 133323388 1000000000000000000 316204873 115540635 149963772 279446734 1000000000000000000 157088988 107598389 83873261 12266416 1000000000000000000 459106315 222876227 411810237 70706964 1000000000000000000 406904600 379414209 32553288 165128116 1000000000000000000 35645216 5956267 30208442 821063 1000000000000000000 835973721 564859765 218073787 579205357 1000000000000000000 568474311 522733321 190837865 230688334 1000000000000000000 503516786 185763885 295113259 349129176 1000000000000000000 708625106 532541310 155111514 271657637 1000000000000000000 670263796 138187479 664758577 240125715 1000000000000000000 189111259 28779996 183417413 117326115 1000000000000000000 372079118 31562892 153027787 322393929 1000000000000000000 830207747 56374131 299986582 635368048 1000000000000000000 972601543 179775236 104002650 8668114 1000000000000000000 502619500 216270669 104527962 263666726 1000000000000000000 22073490 15831928 14933314 1512621 1000000000000000000 832787154 707288160 784815128 639090213 1000000000000000000 469606882 128422667 192780476 247730680 1000000000000000000 664953356 489238543 442661522 428783976 1000000000000000000 335529810 60949205 204012810 279188405 1000000000000000000 572739670 118969630 32143319 216477345 1000000000000000000 550955523 445022653 445868665 21791538 1000000000000000000 663456021 612655488 202798775 428403015 1000000000000000000 284118310 120757492 263184212 113667475 1000000000000000000 529902157 349176223 314746995 120827084 1000000000000000000 515296519 178321555 217662469 400230950 1000000000000000000 336672337 318898178 335109278 213684102 1000000000000000000 939369982 371277646 312071451 788305049 1000000000000000000 247070748 151202174 178112182 195010646 1000000000000000000 766392505 525680396 28012285 539502186 1000000000000000000 454887726 273642348 157275832 213342914 1000000000000000000 667092786 322383719 174540024 290382902 1000000000000000000 616115832 517983358 70658205 409750829 1000000000000000000 537212146 476898001 325349366 421494049 1000000000000000000 809692649 322778456 255138817 559362124 1000000000000000000 335982791 1242283 133975493 104245607 1000000000000000000 817363009 379634635 544326200 527161534 1000000000000000000 244002478 88787416 89132832 83584234 1000000000000000000 317126232 94533742 51929520 99042052 1000000000000000000 275724847 157736291 163300683 187121811 1000000000000000000 779622122 96138438 697689899 473105679 1000000000000000000 262344745 58561146 126385407 60570239 1000000000000000000 510611951 314511363 83030884 261451454 1000000000000000000 781468421 611631360 762970417 27595294 1000000000000000000 364202726 151522106 100683896 114421000 1000000000000000000 828420106 598518421 185155691 559319314 1000000000000000000 340737801 223945114 246773255 269487613 1000000000000000000 813106589 394782245 475872082 398999358 1000000000000000000 752514843 464634057 79109957 614019699 1000000000000000000 812454506 663277691 467382890 105916943 1000000000000000000 276483905 47386024 110511340 87943913 1000000000000000000 287009829 101701343 36021572 206114033 1000000000000000000 356982827 209763387 315878105 265960480 1000000000000000000 699768617 687311537 64301680 406179473 1000000000000000000 969833661 106251415 16836982 292429901 1000000000000000000 94743194 9356325 33512659 1757923 1000000000000000000 232213825 219616673 230505650 44302395 1000000000000000000 348234988 104770093 20607091 127135767 1000000000000000000 525705031 297116990 373411614 51799333 1000000000000000000 416501625 380618831 385727155 136024793 1000000000000000000 466467723 21380857 15656400 132184135 1000000000000000000 699570568 684202292 666727536 134824091 1000000000000000000 417884569 73948459 233530707 237706936 1000000000000000000 70940050 24182057 32299508 13351550 1000000000000000000 48330194 42368283 41890228 2250514 1000000000000000000 267036443 164129670 200574159 102937029 1000000000000000000 143003816 50385772 103052153 3687400 1000000000000000000 161423631 127376909 34651744 140766355 1000000000000000000 842162078 228336960 14992040 404318854 1000000000000000000 609675818 163109675 273617531 494226423 1000000000000000000 924634474 435457361 199332122 273955431 1000000000000000000 171918207 92188449 117058087 62190128 1000000000000000000 370669423 163156709 145358903 213342884 1000000000000000000 162062413 136755680 125021337 109867735 1000000000000000000 215949664 107889183 129605920 78549525 1000000000000000000 280518378 92746009 64447715 59607141 1000000000000000000 171956956 116155571 97250442 153802976 1000000000000000000 905122812 390366709 539235188 871172714 1000000000000000000 239127212 199816693 53371965 121987709 1000000000000000000 313316383 237412781 8162805 31101394 1000000000000000000 353374135 51910610 38791049 97578101 1000000000000000000 589962528 523352058 223874049 361152559 1000000000000000000 950203875 4952124 840760897 945866513 1000000000000000000 988107091 652825550 479935365 118867969 1000000000000000000 833464746 440867436 196474461 31179006 1000000000000000000 22130816 2418614 21100 11195258 1000000000000000000 911129392 33826920 514670134 640612157 1000000000000000000 236320053 21796497 196498439 121684426 1000000000000000000 290793799 245489376 217306931 262745864 1000000000000000000 308111277 251089664 237151348 247421361 1000000000000000000 955504592 193634685 540155731 416357740 1000000000000000000 419801023 46060679 32323646 165021609 1000000000000000000 62075037 17392642 60917750 2409780 1000000000000000000 610110188 401179803 476430133 70201173 1000000000000000000 932893810 820641158 438960501 418699689 1000000000000000000 430872580 33630863 84707293 409737931 1000000000000000000 667549901 174602116 483924923 370227877 1000000000000000000 146363176 100055739 19408011 102270110 1000000000000000000 574491540 72496429 60125655 59912438 1000000000000000000 646046608 617781190 551950454 59913959 1000000000000000000 872832340 505596094 811261107 775502179 1000000000000000000 220655757 133257355 79117690 45777030 1000000000000000000 264286908 24042408 149174177 45104757 1000000000000000000 298376114 114523873 180159250 172236989 1000000000000000000 88352483 64611726 34625182 76037164 1000000000000000000 868775365 148497700 352406249 511082990 1000000000000000000 524921009 472248206 91397922 143482628 1000000000000000000 500016213 22919767 367395880 383275405 1000000000000000000 204179476 14346656 67393346 63237962 1000000000000000000 116684474 34932664 102404557 38689424 1000000000000000000 383766564 116860841 365101202 330494547 1000000000000000000 74163721 39905302 73615522 14250525 1000000000000000000 163379204 161772252 72736368 40295910 1000000000000000000 563837903 406935637 482469426 507032488 1000000000000000000 904963439 873773263 796986817 136248945 1000000000000000000 795334978 602822297 468777427 355487515 1000000000000000000 588506616 447867309 170677202 375471697 1000000000000000000 95957356 48035216 4851475 50817671 1000000000000000000 447082790 34129151 383476342 222996245 1000000000000000000 212006092 128209534 148610441 210521804 1000000000000000000 993517247 986041832 166865798 602774774 1000000000000000000 120443456 70143837 91069011 58305694 1000000000000000000 121995316 20639444 120974908 111311201 1000000000000000000 617872338 206467194 47416347 62572785 1000000000000000000 35436598 33663800 31059447 35010009 1000000000000000000 224510300 44930993 50208745 179174936 1000000000000000000 675271432 4204573 121753176 431181339 1000000000000000000 898959289 559629429 374850120 881942821 1000000000000000000 279250215 190720836 49436677 241518507 1000000000000000000 335788042 328960234 330136214 334338672 1000000000000000000 711339175 226051559 267020864 460568256 1000000000000000000 845124534 592471874 424864702 392388549 1000000000000000000 834357188 73997378 263275606 379768516 1000000000000000000 829109480 829102554 479102365 25020755 1000000000000000000 856208144 499457095 365711753 84560754 1000000000000000000 107214909 84533323 69589057 14942057 1000000000000000000 569015445 273926964 187024112 370627266 1000000000000000000 204783147 30295639 136977585 108602501 1000000000000000000 56626445 27778578 33958084 44455769 1000000000000000000 702711564 101806029 166954834 285893298 1000000000000000000 848510797 64988371 846750704 220035602 1000000000000000000 5472337 1895925 2089848 5350833 1000000000000000000 546044526 264251069 148470077 371843006 1000000000000000000 801342767 375202005 285841503 93549834 1000000000000000000 978090643 310317301 831872037 759084032 1000000000000000000 628826806 228377436 428203641 517088870 1000000000000000000 748884048 268109309 37686869 563598829 1000000000000000000 19054271 14148173 14808355 7477223 1000000000000000000 648705283 483131256 534670537 160503936 1000000000000000000 306521935 179682674 21827285 280114192 1000000000000000000 149760949 146025984 121553458 135590415 1000000000000000000 780010000 372356311 54805014 617835052 1000000000000000000 508410682 426858839 177734704 43718206 1000000000000000000 453887045 19893702 332026503 270950284 1000000000000000000 28815064 482072 7950273 16070498 1000000000000000000 226445915 69737023 157730973 150073278 1000000000000000000 892239899 11574758 665825007 124112897 1000000000000000000 476661133 54069832 370495037 59128580 1000000000000000000 441882484 6677867 398836207 265004287 1000000000000000000 425272367 156023107 310785293 368589556 1000000000000000000 346453085 278929141 198840163 224495544 1000000000000000000 57486480 19229945 9777613 25352291 1000000000000000000 359196413 128834242 196187299 227743018 1000000000000000000 876187337 81075857 179020829 556489408 1000000000000000000 213782150 31185389 25388861 98841306 1000000000000000000 304713042 8403045 297408432 31565418 1000000000000000000 820212561 367929688 511743868 275381080 1000000000000000000 828324903 256861138 355056705 29999579 1000000000000000000 580482473 55001024 459447725 231354890 1000000000000000000 278376040 93689720 179659126 20922283 1000000000000000000 690798680 320041159 96139181 40423923 1000000000000000000 236281510 32946776 226952263 200487343 1000000000000000000 695079338 435479408 594636974 453351195 1000000000000000000 785145703 38308774 117010754 647265650 1000000000000000000 381974261 285137434 299274088 335704168 1000000000000000000 102713324 58618526 28430756 12354062 1000000000000000000 419549203 353353857 166080065 241464916 1000000000000000000 144632173 79227492 87364381 16542145 1000000000000000000 414587332 90454500 116387604 222897253 1000000000000000000 20947126 5050641 6592270 3126464 1000000000000000000 500259383 369245602 193929709 221510880 1000000000000000000 735605974 232650497 446220791 433073079 1000000000000000000 401051791 325596680 256525093 356827696 1000000000000000000 452001948 295219927 56941067 318233345 1000000000000000000 501407408 6854092 448075724 467475532 1000000000000000000 998382867 337434564 509543563 856945405 1000000000000000000 85593920 13320419 83200446 42248632 1000000000000000000 437769811 334122899 420688237 183861358 1000000000000000000 581792283 126969631 192126167 296323259 1000000000000000000 254074521 98953372 16338638 54411739 1000000000000000000 516788870 449396003 450951923 432066062 1000000000000000000 320001022 58117196 157978787 147010005 1000000000000000000 629988753 389868344 470256796 314410794 1000000000000000000 599461029 135586009 163260937 314103982 1000000000000000000 465902910 386375632 108596204 437656577 1000000000000000000 582857156 220883278 495868115 579834779 1000000000000000000 775444328 218627341 394881720 560481739 1000000000000000000 5221158 5165527 4171872 1155007 1000000000000000000 725457966 454432889 168714243 220429390 1000000000000000000 119828721 73587933 61273287 106170549 1000000000000000000 432123151 41711644 345373721 285377043 1000000000000000000 147670155 46454984 58485394 123084839 1000000000000000000 730047763 427652777 85630098 70070318 1000000000000000000 633349895 18273599 175148778 557460117 1000000000000000000 411206588 136241194 183427514 153191006 1000000000000000000 688495579 480955352 341313714 361031090 1000000000000000000 566617661 292981810 111050826 230556793 1000000000000000000 915990341 581123472 657887061 743269403 1000000000000000000 257996593 116069756 17166312 141999385 1000000000000000000 801489472 300503918 599646653 18521809 1000000000000000000 868475161 152710486 692208180 568214849 1000000000000000000 208067708 85632544 85162564 32448360 1000000000000000000 894021374 611236731 302187507 402341190 1000000000000000000 512742292 101527816 256797474 329518754 1000000000000000000 19548921 164016 10608378 1345057 1000000000000000000 994703589 660292878 451795883 797086118 1000000000000000000 6805325 4338094 4968535 6150505 1000000000000000000 68468407 19912858 35014440 43013515 1000000000000000000 979479336 852773411 98734614 384639753 1000000000000000000 713875089 332709866 150987044 246549559 1000000000000000000 364298723 63667485 271050836 268132199 1000000000000000000 476031752 72158820 22456823 468082590 1000000000000000000 305561567 91337038 132225133 95644101 1000000000000000000 626566638 21189483 254063571 411256770 1000000000000000000 760806240 699113881 29498396 319794107 1000000000000000000 744932858 380832587 560085553 461260912 1000000000000000000 923994971 241554736 481626001 559565206 1000000000000000000 142407060 110075422 19235639 7370115 1000000000000000000 164283753 55652169 57092713 62368033 1000000000000000000 774765198 86427128 109596177 179062474 1000000000000000000 293776281 248708848 173350256 130655314 1000000000000000000 118408291 12677403 83975956 49374495 1000000000000000000 402541994 121240206 177902100 385180119 1000000000000000000 723133442 279023878 296655006 258026346 1000000000000000000 581320285 251385139 492117578 429726194 1000000000000000000 566042368 137664248 269838882 94778181 1000000000000000000 87768755 76784698 33610646 16483104 1000000000000000000 463309320 1750335 316653085 143875290 1000000000000000000 32776268 10228181 12428491 15128946 1000000000000000000 278547726 140087682 173529381 66902920 1000000000000000000 283400629 237556419 239052517 33138423 1000000000000000000 537771487 467155207 535436500 111919061 1000000000000000000 88858173 85430288 8077371 6905567 1000000000000000000 43038922 14554322 24107301 32135038 1000000000000000000 630380102 117505672 513907458 144296707 1000000000000000000 555496039 120866292 321016043 221848922 1000000000000000000 477371061 225705306 109886080 354351280 1000000000000000000 572807021 4264123 129178243 16705891 1000000000000000000 791252693 230555325 612937998 403316421 1000000000000000000 607525167 271359808 46617056 283201761 1000000000000000000 237249880 106618406 181695067 109167278 1000000000000000000 83245123 27148037 19218662 74564225 1000000000000000000 431797291 175994149 370166076 412798056 1000000000000000000 859140013 149245092 108047984 6215664 1000000000000000000 74083554 46608991 9973487 59006358 1000000000000000000 633409522 1709747 195661815 460598764 1000000000000000000 908055794 518409210 530941913 679076628 1000000000000000000 102557301 34700934 48415600 10673483 1000000000000000000 744625374 385714833 352660999 115716378 1000000000000000000 264956371 137988548 183177391 61080691 1000000000000000000 417630129 233790063 389304087 171835914 1000000000000000000 438015819 240999721 265547187 300399769 1000000000000000000 124032377 23504489 23260789 49070778 1000000000000000000 352027609 95834941 171581878 173192152 1000000000000000000 962347274 349336908 309092594 809476637 1000000000000000000 888633176 305082790 729258426 131773084 1000000000000000000 525703183 197712675 213346958 393514011 1000000000000000000 422544219 85647678 263600495 191013473 1000000000000000000 929785360 131606676 841515362 204343755 1000000000000000000 466440583 269125777 101838658 223083321 1000000000000000000 437333050 430543387 41665292 223926001 1000000000000000000 696286125 33052159 477278961 40220897 1000000000000000000 576849042 261676193 118271948 325351745 1000000000000000000 14824819 12105705 10854963 8229097 1000000000000000000 539090249 86136633 305989990 99732031 1000000000000000000 449870455 78988753 230243415 40912808 1000000000000000000 576884919 286871155 246319987 122776996 1000000000000000000 87200817 54594923 56628745 68143252 1000000000000000000 858964453 732772788 382652517 530991991 1000000000000000000 822875270 5017667 7866521 799131364 1000000000000000000 562072851 341321584 387776009 46490021 1000000000000000000 87759339 38553397 24714434 47170380 1000000000000000000 639627991 67736121 28789847 405685935 1000000000000000000 863472418 569151956 835038780 729695739 1000000000000000000 877158295 617960196 722248024 688261671 1000000000000000000 151775946 75729913 106616682 101829716 1000000000000000000 799681486 67846437 717932196 467757032 1000000000000000000 440350006 243857379 389063617 75459847 1000000000000000000 616843809 495882347 41982727 406345273 1000000000000000000 739258075 573351905 575289886 368040649 1000000000000000000 944167281 487443144 569359491 782585480 1000000000000000000 699308043 554452173 124174784 459324490 1000000000000000000 531563944 150251545 117635865 78596680 1000000000000000000 596740263 214187412 123063597 586334553 1000000000000000000 830795659 185934936 396104831 96223557 1000000000000000000 712111879 59358063 528264176 279426751 1000000000000000000 141316803 54627401 18461848 92466924 1000000000000000000 712306019 649822268 525564234 463195661 1000000000000000000 395635583 246247780 158466139 226042478 1000000000000000000 84331566 41363771 36173455 74780306 1000000000000000000 446485184 213133921 220914782 271068565 1000000000000000000 57952628 510744 12983722 36945427 1000000000000000000 497417313 94939923 395356390 173328819 1000000000000000000 4961340 961513 2916471 4208047 1000000000000000000 469351873 13594759 92788495 368990238 1000000000000000000 81609646 15897127 18597034 47231801 1000000000000000000 555762445 35389574 434411046 63929805 1000000000000000000 909730742 533213466 430919951 372149296 1000000000000000000 668245682 553841656 156722858 663026278 1000000000000000000 589811694 249853836 546791207 317377672 1000000000000000000 509859179 78110752 356041022 67456872 1000000000000000000 369376407 236962691 171426055 120818185 1000000000000000000 67283547 55105215 2194222 20708925 1000000000000000000 200155736 146928528 83449300 61836304 1000000000000000000 180082380 50974686 67639852 107527708 1000000000000000000 702456219 280563669 372029007 256420821 1000000000000000000 453691337 309614381 167420497 77467300 1000000000000000000 682822639 541203378 399773240 347612538 1000000000000000000 767009667 646353970 696258673 191919995 1000000000000000000 392227346 322916676 264728396 257162486 1000000000000000000 482264658 142299777 472372194 126246882 1000000000000000000 119703546 40857998 49928160 90633530 1000000000000000000 440790882 180764681 215740843 188601010 1000000000000000000 764061529 528885851 424306017 2598852 1000000000000000000 857605114 127983086 523036288 375961147 1000000000000000000 91262117 22220863 36888436 48949075 1000000000000000000 554424810 78392453 438741456 176520576 1000000000000000000 440170762 136005246 99852196 242377758 1000000000000000000 842691349 818821255 232571692 10026631 1000000000000000000 958344769 643470716 891631906 797996587 1000000000000000000 270812111 266739839 242278955 96847924 1000000000000000000 29594707 10449534 9075575 14429349 1000000000000000000 445356884 58811773 315605974 266534380 1000000000000000000 345646610 58317042 112705297 134723081 1000000000000000000 302996110 156295841 80661555 190946935 1000000000000000000 356807568 135464973 291379879 208485906 1000000000000000000 938530112 272338399 24789549 893932013 1000000000000000000 605027261 544601059 558425990 218727528 1000000000000000000 942884949 705209522 432576126 454009549 1000000000000000000 857635615 392681438 4196275 505381947 1000000000000000000 86201955 69218058 11706765 84663501 1000000000000000000 868676310 273098396 794429799 185061559 1000000000000000000 55995286 18899816 49748390 27100158 1000000000000000000 857386423 450377408 768824434 562219519 1000000000000000000 921677119 801980613 505821830 100242031 1000000000000000000 809032821 802905001 205754980 114753134 1000000000000000000 281647468 111150761 115031193 100652618 1000000000000000000 109515387 41885286 88035253 29299868 1000000000000000000 238980401 106215094 80900043 122006906 1000000000000000000 951604233 293486205 811599262 769302740 1000000000000000000 405804968 5517235 96609707 164258861 1000000000000000000 751865 456838 212441 163551 1000000000000000000 240925295 172410233 163299519 98716019 1000000000000000000 516372125 320393013 392693968 423082969 1000000000000000000 632723252 515883049 395349485 468996732 1000000000000000000 291336414 203847277 268157020 44516526 1000000000000000000 526155137 58120311 234855693 408167129 1000000000000000000 460853698 311201836 355702300 213235903 1000000000000000000 331637581 294188303 234990590 315657912 1000000000000000000 297470834 90296204 139759961 238042208 1000000000000000000 396159005 274729484 6056603 328640387 1000000000000000000 557587496 222032872 382731322 550027393 1000000000000000000 768902829 80029424 549961715 281968039 1000000000000000000 151666910 68038283 79117828 101685342 1000000000000000000 793458069 483494671 508681384 461150072 1000000000000000000 380009548 12280121 247232883 328945779 1000000000000000000 64806571 56032440 44976572 41062480 1000000000000000000 409535998 67909646 64633937 360917854 1000000000000000000 663190067 647515241 67592250 63104625 1000000000000000000 700116276 269572616 23097595 592807322 1000000000000000000 828968129 182798818 99069734 140406398 1000000000000000000 526152597 255898284 474092971 441955174 1000000000000000000 821636749 784571706 683850253 549800702 1000000000000000000 265106955 63222039 227854117 206019700 1000000000000000000 108755494 45088441 76368562 75757911 1000000000000000000 347575870 266535671 76617232 63230273 1000000000000000000 817690563 648571794 419887997 316715759 1000000000000000000 444503326 25887570 408037288 138286177 1000000000000000000 621301554 606494919 411986212 95927623 1000000000000000000 900702024 586306043 468087210 605466994 1000000000000000000 192115576 67127604 128350731 155617251 1000000000000000000 977427577 152654878 149086867 717136570 1000000000000000000 23740378 20814457 2717570 3716145 1000000000000000000 782259866 589402570 269009806 402012599 1000000000000000000 812142865 441011223 660817116 18128219 1000000000000000000 521339019 502653381 437960104 324475992 1000000000000000000 856938739 844618105 600765604 546733061 1000000000000000000 917492342 34265 792669147 336945344 1000000000000000000 673513278 605199838 465413994 98560880 1000000000000000000 639639374 225320593 447763276 172693872 1000000000000000000 393023453 339669222 300501175 9040978 1000000000000000000 256691536 215716895 251152242 19573362 1000000000000000000 100642797 50046052 26911567 58314104 1000000000000000000 178126016 157086262 155520579 9674810 1000000000000000000 768210053 402918121 171660846 646685172 1000000000000000000 354908393 111188779 110269920 191294137 1000000000000000000 541008132 413074547 404497070 310849897 1000000000000000000 508003351 148776064 485145526 388799302 1000000000000000000 891587071 190696824 413304000 765699047 1000000000000000000 449927633 139596227 300690328 400415096 1000000000000000000 535110104 51578202 99414070 296261731 1000000000000000000 656152127 266208993 404707095 501310845 1000000000000000000 413252839 14273591 132508357 97513122 1000000000000000000 97449240 26313596 21429967 8631479 1000000000000000000 841068979 333895864 789516416 460640667 1000000000000000000 678252051 442673999 520833856 41674224 1000000000000000000 716228197 587418490 6747435 400889890 1000000000000000000 866648858 261442552 624149677 725962171 1000000000000000000 236387606 152309776 46211362 133917894 1000000000000000000 759686629 254537636 706866870 214009324 1000000000000000000 522408097 73903003 309250902 450172999 1000000000000000000 753487855 651002770 405486943 466944735 1000000000000000000 108248083 93491583 63533466 94964339 1000000000000000000 420629710 20896017 261985941 396228720 1000000000000000000 364291390 93472787 191311023 288340110 1000000000000000000 304860624 72019963 75594424 231773400 1000000000000000000 870255195 528859732 795550286 843722624 1000000000000000000 161374327 53547074 68823181 155975240 1000000000000000000 690075638 66426998 258851498 545714487 1000000000000000000 944457437 718899523 759863584 928924440 1000000000000000000 509827682 462422838 285544449 406612274 1000000000000000000 219494639 153458551 35902070 45006337 1000000000000000000 943678836 511974098 358446675 335023832 1000000000000000000 382579710 67293080 181665315 325941555 1000000000000000000 345348159 220439064 171658498 266690237 1000000000000000000 359730118 110089912 170256119 107649796 1000000000000000000 979978834 751472225 623366375 171183676 1000000000000000000 917624730 490192225 244223782 402734416 1000000000000000000 489451364 298360896 344873690 405122711 1000000000000000000 415964436 250328225 407188421 120565323 1000000000000000000 192715267 125884492 44289773 158626725 1000000000000000000 113944757 53784134 51398311 84403311 1000000000000000000 580892800 537939405 394796909 191541099 1000000000000000000 166843271 67275307 131788083 32606021 1000000000000000000 694316612 327548092 224729606 232695431 1000000000000000000 568868904 366840183 521139793 5216777 1000000000000000000 859637266 731745855 640753686 325571614 1000000000000000000 580174917 324586509 81030377 193558212 1000000000000000000 109437781 55793453 31553629 55572859 1000000000000000000 815706449 220687885 778059120 560552820 1000000000000000000 248263381 61430736 219658699 29177660 1000000000000000000 69249017 42966422 9942632 44087771 1000000000000000000 460553084 353760116 78344115 77306253 1000000000000000000 868897290 180808535 229701957 447135648 1000000000000000000 69853279 36677086 12705975 12441943 1000000000000000000 14514733 2755811 2338112 14419388 1000000000000000000 187541213 74068041 24382360 187093679 1000000000000000000 574928284 286422113 507767290 535514498 1000000000000000000 14293245 1568922 4034609 3349493 1000000000000000000 529075246 417643375 474321229 392950534 1000000000000000000 809764602 806033155 52733028 522252417 1000000000000000000 50710368 47955655 28181810 5507357 1000000000000000000 655260286 646798303 86125142 422240901 1000000000000000000 482114332 335545496 29931485 411183226 1000000000000000000 401897994 334383087 258890267 308300141 1000000000000000000 439508316 228987772 76087487 142603111 1000000000000000000 397190854 259877844 229750581 188062980 1000000000000000000 748291124 80964113 298415707 530601318 1000000000000000000 514758069 117997492 386899752 100235181 1000000000000000000 617361701 597824822 454681674 366563576 1000000000000000000 402327027 364785311 33167709 144823207 1000000000000000000 63130616 61728018 44423379 62575639 1000000000000000000 607487602 587640965 81314968 300931531 1000000000000000000 588471614 286921295 239224378 106212370 1000000000000000000 961964936 24271956 105837167 733168024 1000000000000000000 58937383 37033845 7037437 24769141 1000000000000000000 507023908 216918274 13741990 158378391 1000000000000000000 735306636 694851777 35390595 52995579 1000000000000000000 195000980 66879121 2849185 179490195 1000000000000000000 356266041 211325299 251159901 173295240 1000000000000000000 270407731 12469977 7768375 197499424 1000000000000000000 288787446 150002251 11236546 21981270 1000000000000000000 513244423 351078209 12024783 271158125 1000000000000000000 943585640 869517616 561576566 761865178 1000000000000000000 147642262 117647941 7172546 83204841 1000000000000000000 387522214 244591856 178428382 373858438 1000000000000000000 626599864 407644480 405402581 363955008 1000000000000000000 893023995 507088201 808104810 476660374 1000000000000000000 808721015 548206532 513751552 92414501 1000000000000000000 627036469 137929235 529585439 505215966 1000000000000000000 754604357 73408575 285958212 739986587 1000000000000000000 73586017 30150608 18755669 14088564 1000000000000000000 625760848 248436239 421997811 213349585 1000000000000000000 404676437 86823079 19515249 169130000 1000000000000000000 694673186 85403621 237946833 188375482 1000000000000000000 76224488 7451539 23305562 69936997 1000000000000000000 375599554 342494638 110076460 252420974 1000000000000000000 735180724 562423363 166493406 204031573 1000000000000000000 101582311 15616514 54590307 65875465 1000000000000000000 160592997 138821819 19849234 106258168 1000000000000000000 550482951 514587947 433690382 57140917 1000000000000000000 412364487 103272010 167569213 36454515 1000000000000000000 558253709 43332841 249019384 523966057 1000000000000000000 941360166 585895162 522343486 201984283 1000000000000000000 978365817 547458799 490830623 884241634 1000000000000000000 722165147 312061672 573651077 542606250 1000000000000000000 167823455 53954150 61895567 56697096 1000000000000000000 370369208 21800508 14403631 266304849 1000000000000000000 51936973 15612772 32002567 14806287 1000000000000000000 636224819 322224703 404034323 121850666 1000000000000000000 15160547 156976 5294571 64479 1000000000000000000 691734987 95217910 278502095 194445900 1000000000000000000 557343477 2255022 160937283 256738238 1000000000000000000 810603970 161114564 784866171 574648012 1000000000000000000 811801547 565762285 770069470 431732788 1000000000000000000 564311556 103670364 433360425 77367541 1000000000000000000 369656055 98730385 44432830 132930182 1000000000000000000 328998238 205479228 98815837 190537315 1000000000000000000 144891541 77193551 8729790 94004079 1000000000000000000 577359344 411268634 438233349 226156085 1000000000000000000 241128892 147707413 214089819 126463856 1000000000000000000 740777722 422962122 527536018 703282672 1000000000000000000 922917665 826837426 906649999 523317827 1000000000000000000 93058534 84255907 63777305 59147209 1000000000000000000 644564585 490136580 249865600 547230882 1000000000000000000 375709665 322226248 143757100 171996867 1000000000000000000 521220921 262789636 287345981 5579238 1000000000000000000 336123120 319372555 117727400 242516520 1000000000000000000 627078271 15546064 441047226 582938403 1000000000000000000 530696111 292306683 216722521 80235246 1000000000000000000 941251343 185769268 364621388 436583144 1000000000000000000 634639331 462551730 539971740 10859514 1000000000000000000 392998715 118437141 270676085 214080653 1000000000000000000 387003320 113689267 384521726 337203732 1000000000000000000 397140296 84219450 59899426 10559686 1000000000000000000 194477292 33328675 179186392 43408071 1000000000000000000 475204431 238244900 5153366 70968483 1000000000000000000 638963088 232409870 330667218 352710690 1000000000000000000 2658708 1524071 1658676 479766 1000000000000000000 428408417 290098288 367359971 111562053 1000000000000000000 227233385 142599941 134723491 210639405 1000000000000000000 204409491 46160994 146035750 49366743 1000000000000000000 182161745 114965112 108643625 84355221 1000000000000000000 356492963 286564538 299428635 63001118 1000000000000000000 198795019 62610959 132769032 99826785 1000000000000000000 700527237 442354814 144382582 602597968 1000000000000000000 633182434 328328649 62825630 94754980 1000000000000000000 659490625 283559062 517300907 408282905 1000000000000000000 443861946 61152692 245311174 89447547 1000000000000000000 453333113 17606438 300571907 168596998 1000000000000000000 122160441 59599063 111626752 1618284 1000000000000000000 837311526 211106382 376009707 195112155 1000000000000000000 842340827 726309003 532639418 836346364 1000000000000000000 7124616 1981250 2961335 2274006 1000000000000000000 902540280 29785938 496680885 438818156 1000000000000000000 85896020 68431616 53910674 84521150 1000000000000000000 593013842 505193304 134147743 472854935 1000000000000000000 72633030 20081386 23300885 7486119 1000000000000000000 227201751 139401332 67678214 202874194 1000000000000000000 553074035 232600674 275366295 95624256 1000000000000000000 776335721 122700158 600254248 675049906 1000000000000000000 671681674 648293322 302409802 282732520 1000000000000000000 217815371 9151209 161914015 24195623 1000000000000000000 591898440 50275527 534487287 285271438 1000000000000000000 723880943 719611734 590708185 685668193 1000000000000000000 335758698 89429540 30055182 133476415 1000000000000000000 952122855 85940807 167101855 819122823 1000000000000000000 672846481 77639778 338444280 272605474 1000000000000000000 254203803 231051218 21531006 153232493 1000000000000000000 972527522 326861946 497694696 814668862 1000000000000000000 870125012 81101170 299132547 78357939 1000000000000000000 537068185 512732643 143652870 515596428 1000000000000000000 62344949 14019686 44789188 9090540 1000000000000000000 50852919 29109486 40591994 30204150 1000000000000000000 510112759 356454563 445403901 200192967 1000000000000000000 678287309 144593900 416590165 613311765 1000000000000000000 781870175 455663602 217504187 493285247 1000000000000000000 255636761 74348356 147575687 255601215 1000000000000000000 190490399 55928000 123932457 179075395 1000000000000000000 544833122 42052738 310106733 62736103 1000000000000000000 544782647 36314199 176643077 86630170 1000000000000000000 948315315 290540708 54117173 350863022 1000000000000000000 329786084 87565153 106432231 152141270 1000000000000000000 257621304 228732051 2630954 19153525 1000000000000000000 824295440 770499853 176573969 529709787 1000000000000000000 605772934 364773253 289663683 110073673 1000000000000000000 872997599 615457469 455253912 439808296 1000000000000000000 772624510 279453035 478789947 261506153 1000000000000000000 769528141 365933641 244493450 351615801 1000000000000000000 436330435 19390540 31818422 255277117 1000000000000000000 80484165 19187376 61362944 35463328 1000000000000000000 192126277 71172964 12605365 130089783 1000000000000000000 49012615 19115371 23669443 42777195 1000000000000000000 427749557 19616067 189968660 4112269 1000000000000000000 87028645 16684017 72815213 51293533 1000000000000000000 486059684 201796969 84887707 409681492 1000000000000000000 864402003 62561158 392490982 735450887 1000000000000000000 884268868 476167365 78468545 666255542 1000000000000000000 790742909 164500772 46534711 623124699 1000000000000000000 464485391 373799439 348017294 377961694 1000000000000000000 273793577 103352256 168240406 111161339 1000000000000000000 981342984 471860314 805143350 707397365 1000000000000000000 332274387 180404204 183890614 232022925 1000000000000000000 12353431 12301034 3505628 7546860 1000000000000000000 54122603 42947561 4202076 47591060 1000000000000000000 486625072 40302429 268995049 456722678 1000000000000000000 97101723 29567325 26352910 90743418 1000000000000000000 815797316 634665105 507840849 401071651 1000000000000000000 662299993 49385459 344485737 282007999 1000000000000000000 739045617 599587661 706332413 101841809 1000000000000000000 466129358 179234573 80820141 120021608 1000000000000000000 69121370 13609422 68156037 16248546 1000000000000000000 710145476 300846357 209739111 152016703 1000000000000000000 802629194 697742755 779132147 655996538 1000000000000000000 291111891 71769699 73233426 28224562 1000000000000000000 630420729 214594792 168705653 202851917 1000000000000000000 936455193 197769767 364188967 738623419 1000000000000000000 605946346 126198819 171834305 240356882 1000000000000000000 938508159 436620149 591912806 569577306 1000000000000000000 484086771 97954690 80446863 262150468 1000000000000000000 614716970 443472453 462437816 315999088 1000000000000000000 248876091 160754018 55045615 179737192 1000000000000000000 12720131 3190485 4882422 9225409 1000000000000000000 523246334 134272093 341757223 337424729 1000000000000000000 192291572 166999384 60898425 93002517 1000000000000000000 551318574 147713408 227434984 209734711 1000000000000000000 66321638 16451265 12834228 5263436 1000000000000000000 503818803 197829489 129195411 75040056 1000000000000000000 691433815 3942450 336697982 371302217 1000000000000000000 272510376 251364758 156304243 74050383 1000000000000000000 737604249 144165132 318682119 60255500 1000000000000000000 248853863 20515199 37066131 49578914 1000000000000000000 82060591 65198321 81201163 35345772 1000000000000000000 60503210 3128671 32184490 6876328 1000000000000000000 869163612 724904277 139329516 125467965 1000000000000000000 285684172 124696448 199870608 178251011 1000000000000000000 433982862 59129435 22348921 276835268 1000000000000000000 514378902 236859803 77554415 469544670 1000000000000000000 952081568 761311434 908821466 592516545 1000000000000000000 34275399 16563967 27192869 15013411 1000000000000000000 378751501 168785693 297549241 187666129 1000000000000000000 931182787 509868647 516316437 347777638 1000000000000000000 797491070 184669699 382574830 641728482 1000000000000000000 567062759 259141697 114814603 113449746 1000000000000000000 797982735 119606539 479207431 103104240 1000000000000000000 40298542 32535956 29050645 31967925 1000000000000000000 647132958 309826328 22671621 242994920 1000000000000000000 135102352 77077484 80943359 130627717 1000000000000000000 294431928 270992309 188219380 266344798 1000000000000000000 653804986 437341255 236237761 320637286 1000000000000000000 290228717 204430566 219442563 259521950 1000000000000000000 68215675 25268530 9269109 61732273 1000000000000000000 453362726 5389918 385395826 269666288 1000000000000000000 625995138 592418392 10084446 441141892 1000000000000000000 564770740 485743482 419272486 202506272 1000000000000000000 64086427 36980038 55736801 37680617 1000000000000000000 600191961 171542602 384103854 233805195 1000000000000000000 596155005 132403341 259262961 429736040 1000000000000000000 316391585 307505128 236800524 71615030 1000000000000000000 154812520 125507997 60394300 68137087 1000000000000000000 619823735 149239110 73915411 1298180 1000000000000000000 155602734 69997087 108181260 5224922 1000000000000000000 897946430 340315433 41787714 163139444 1000000000000000000 238032203 94734398 72035604 44435973 1000000000000000000 246140412 98300069 206624507 185043276 1000000000000000000 741711130 736143305 16356548 403695880 1000000000000000000 993952327 332946472 986368731 771125100 1000000000000000000 17291611 13824390 15519782 375645 1000000000000000000 172155187 43834495 19319014 93127819 1000000000000000000 721746963 143054966 676419535 77512706 1000000000000000000 602428742 557730565 454525833 132298126 1000000000000000000 328184575 218028932 55555135 299160058 1000000000000000000 594005992 504646206 217776490 553497393 1000000000000000000 121298429 81527094 74870181 936185 1000000000000000000 189546555 75862292 112626275 161589741 1000000000000000000 394649986 306984271 78946427 65490871 1000000000000000000 902646486 453923540 391637931 774172450 1000000000000000000 34980014 30925525 4813992 33125161 1000000000000000000 228694542 101874937 135002653 167442469 1000000000000000000 844156585 361476521 556657481 72795168 1000000000000000000 551361333 419891875 241862226 478491045 1000000000000000000 91790919 70882104 80888212 55651600 1000000000000000000 421371683 206421701 389716953 317742770 1000000000000000000 729491135 554720218 608177184 319176049 1000000000000000000 808714145 695348503 2379785 760459867 1000000000000000000 294406826 61396868 253948198 163168482 1000000000000000000 904330320 315292798 895945429 642655561 1000000000000000000 432183518 10009804 330643170 39911404 1000000000000000000 658864193 323552435 383990175 24170241 1000000000000000000 733256029 248854004 546409029 721307920 1000000000000000000 45318510 17770787 23718159 29443310 1000000000000000000 451487736 168449463 89135296 257071149 1000000000000000000 246903518 129647858 46817784 152211356 1000000000000000000 80346943 7355289 66132322 47447662 1000000000000000000 597121034 132435202 182646082 530743725 1000000000000000000 272493151 39526558 10474771 59669416 1000000000000000000 512760402 224496869 192482552 210510939 1000000000000000000 947048568 64171905 796641 430831555 1000000000000000000 907608733 86852789 86443952 91945804 1000000000000000000 922298313 140739662 7141430 423420423 1000000000000000000 918860250 648233170 872511672 549658555 1000000000000000000 157748590 19514028 16028868 139088042 1000000000000000000 76319087 62549762 57878449 5822764 1000000000000000000 683462887 212671672 198416995 335822977 1000000000000000000 563846142 399045001 58642309 257108092 1000000000000000000 803367186 90005876 759791018 619382272 1000000000000000000 140926261 32753280 72339675 10547484 1000000000000000000 145980498 65083397 30572647 32850547 1000000000000000000 819448312 100631060 608389385 465944219 1000000000000000000 195669710 149515934 100461043 179678048 1000000000000000000 112768427 44878844 53683216 16416453 1000000000000000000 254284584 63632332 219249860 136080341 1000000000000000000 509709025 346951163 384120089 440346003 1000000000000000000 212397829 189215035 40158578 18153792 1000000000000000000 64136039 61269480 25067161 2001810 1000000000000000000 286957160 170710384 131194770 113373433 1000000000000000000 285686192 133568023 98110908 225472100 1000000000000000000 453152926 388481350 362204930 175023226 1000000000000000000 591482873 311823184 401750435 98164828 1000000000000000000 533957909 530824883 494755486 485516235 1000000000000000000 557591138 335983817 304904567 359447557 1000000000000000000 229933591 187106297 34941652 76912092 1000000000000000000 575038341 153539509 366764082 446418265 1000000000000000000 434265038 272914229 345508264 61126840 1000000000000000000 44145264 16476757 26097359 16535837 1000000000000000000 49884578 4730209 13871001 40085851 1000000000000000000 731835338 468408055 242132274 69704989 1000000000000000000 627855926 442341499 339639114 440754130 1000000000000000000 352729352 24028705 277479429 85385627 1000000000000000000 969650106 588090052 4857501 491017058 1000000000000000000 471088740 178427990 386167723 99499364 1000000000000000000 221981218 89189598 171733217 8663485 1000000000000000000 653066270 576289849 165317756 582842507 1000000000000000000 211742422 1889428 207962848 160390366 1000000000000000000 764056250 610450617 667333271 10084447 1000000000000000000 995128186 30774038 373730040 463935146 1000000000000000000 746316744 381277549 105205939 419307547 1000000000000000000 997808998 753724794 18160461 632157738 1000000000000000000 444724741 169765729 37798519 336464895 1000000000000000000 196044105 18161443 68134407 63904369 1000000000000000000 68232810 25551049 40504396 15792792 1000000000000000000 732259602 542582082 317874983 64282597 1000000000000000000 945241085 273030071 601030227 535184985 1000000000000000000 267072115 70824702 128674483 102967777 1000000000000000000 21251219 21026774 17503280 2883678 1000000000000000000 373269122 356596368 224735515 65042426 1000000000000000000 18332855 15209002 15843193 4340556 1000000000000000000 662435103 661343386 251102960 461651375 1000000000000000000 867529369 716266665 200303309 364661861 1000000000000000000 437432817 379840049 380455720 147549712 1000000000000000000 66915329 35915103 14583812 23130279 1000000000000000000 412664893 119819822 393852821 194216264 1000000000000000000 929049715 103489690 63457121 408541372 1000000000000000000 205174096 126132036 142719605 182494132 1000000000000000000 901754639 245869227 119857976 429301036 1000000000000000000 327834401 199172698 245355160 182179279 1000000000000000000 841127308 16030419 279603842 737588368 1000000000000000000 779169500 643884239 37120432 430974674 1000000000000000000 303810550 1669145 303668150 195659410 1000000000000000000 895540768 438682669 501270751 175589412 1000000000000000000 199628404 112318517 95324803 140268097 1000000000000000000 456078971 177123583 376939600 201516440 1000000000000000000 680172461 303958935 365604021 484069560 1000000000000000000 247082981 181466713 5875194 118037051 1000000000000000000 678241641 81360762 423146041 609984207 1000000000000000000 877392831 744736153 854262926 799550133 1000000000000000000 376874079 2352305 163099079 230818974 1000000000000000000 789934942 646030276 33075294 180353109 1000000000000000000 897496677 543540126 705668176 359626254 1000000000000000000 207111476 114086807 128082962 187302571 1000000000000000000 622139547 174602219 317348297 434544133 1000000000000000000 19263780 2045091 16066161 16031266 1000000000000000000 344640597 158716158 129791767 243060584 1000000000000000000 438718098 179773177 217920260 432286540 1000000000000000000 713897492 608757521 427964999 565376040 1000000000000000000 503282984 267335677 349699562 224333645 1000000000000000000 713978899 475523724 327936576 466258014 1000000000000000000 218264734 28013303 96123833 46985539 1000000000000000000 327007132 40133719 45142964 37544645 1000000000000000000 700654463 531357185 480351383 610374761 1000000000000000000 204847646 116085284 87153353 134601263 1000000000000000000 722850855 502683885 564359000 297168330 1000000000000000000 573769688 372136925 356887090 447937650 1000000000000000000 912229844 199177442 393061177 526528621 1000000000000000000 228375434 103410830 4819556 217760896 1000000000000000000 759180616 312746927 598504916 103493814 1000000000000000000 153150984 109405380 107945492 61514278 1000000000000000000 76515426 7773990 44875862 76347431 1000000000000000000 576011896 274331300 116470449 322065359 1000000000000000000 283200439 232758687 203590933 211856685 1000000000000000000 981895544 158986512 908071762 649292770 1000000000000000000 180262249 83145349 174733243 46488506 1000000000000000000 506087423 357709041 39439850 160083067 1000000000000000000 9638386 5680492 5271225 3777453 1000000000000000000 923481273 331157058 469058536 64604212 1000000000000000000 641254680 440500982 564808965 502024908 1000000000000000000 212289538 37295614 96173655 29809497 1000000000000000000 139161837 49385816 124545690 59287018 1000000000000000000 619266430 598272244 516942769 12777094 1000000000000000000 273521233 12829446 31705433 180076171 1000000000000000000 938776687 165069437 597620934 317337988 1000000000000000000 833322675 785825598 26624515 587588997 1000000000000000000 705651777 559071145 304343567 509577825 1000000000000000000 148298045 118297183 36515637 42947163 1000000000000000000 520108315 267056655 381858548 480469866 1000000000000000000 241827023 234541715 108833239 155229811 1000000000000000000 717420250 424929746 598602053 548276435 1000000000000000000 808696408 52051772 350865206 202849735 1000000000000000000 282817768 227536987 190883212 113526237 1000000000000000000 673213766 470901547 88916996 556755550 1000000000000000000 957897011 849460993 436113366 628163243 1000000000000000000 745810735 190695179 123638214 649852292 1000000000000000000 971089490 758605122 342615955 540052915 1000000000000000000 257333914 51019451 154330826 224131944 1000000000000000000 945070947 653697659 277783287 614888188 1000000000000000000 501626387 415796231 223524679 209895988 1000000000000000000 551591168 31335127 137228518 116106509 1000000000000000000 802633077 91482206 348172307 769615533 1000000000000000000 371571529 76455386 136847434 42711514 1000000000000000000 279486243 264519408 76874232 165631624 1000000000000000000 310623944 273692142 100259523 108936155 1000000000000000000 191314425 148054574 143702983 104828528 1000000000000000000 71066000 57582797 48157262 41290621 1000000000000000000 468897064 283237218 463382752 439097040 1000000000000000000 236245623 133321484 180943633 46968114 1000000000000000000 550109973 280304238 144707843 188424714 1000000000000000000 110952670 20634748 645951 94222567 1000000000000000000 862645815 678207615 158860967 238854004 1000000000000000000 682515213 61246336 327583022 640775768 1000000000000000000 948735600 292531184 253821845 709402751 1000000000000000000 553607606 154875606 183259102 337421873 1000000000000000000 537031449 308290773 427376870 464442411 1000000000000000000 892088292 423914408 16351610 753774555 1000000000000000000 815132688 761106636 121235092 30332235 1000000000000000000 160878225 2550835 129418873 83306214 1000000000000000000 510205879 356874589 149380063 504938679 1000000000000000000 498949671 65807101 18040969 284878407 1000000000000000000 693642242 343720215 571491211 561526388 1000000000000000000 799833160 139707103 372586483 737694821 1000000000000000000 6286701 4545416 3862732 1192666 1000000000000000000 808169025 528968226 276207466 761688816 1000000000000000000 397177496 61239661 169799080 161046606 1000000000000000000 891778363 406907222 556043452 662748919 1000000000000000000 871761607 740662550 684180210 843813621 1000000000000000000 802024137 576838234 15951585 30550609 1000000000000000000 124966476 61500429 116820562 58222483 1000000000000000000 991921012 528796529 522743500 415346232 1000000000000000000 40432825 3200454 17635210 1209769 1000000000000000000 932276480 733741734 287420698 211555878 1000000000000000000 674443714 388581596 604228502 192733341 1000000000000000000 550971245 51821684 435660519 512011811 1000000000000000000 978211427 467683310 499355418 599061111 1000000000000000000 703585530 505430143 23264972 653920484 1000000000000000000 42154086 19538246 23428534 29848179 1000000000000000000 801442317 215774161 747763451 26884315 1000000000000000000 538959430 7299279 318427743 129194178 1000000000000000000 451438792 273507025 223613770 125061338 1000000000000000000 954015353 852779026 462826542 433730766 1000000000000000000 310921840 6702387 80604197 310074236 1000000000000000000 682314304 226828016 279135307 169817213 1000000000000000000 61790910 30004807 45102387 31279564 1000000000000000000 705810317 304930494 52896146 313473093 1000000000000000000 79236215 18991087 21938001 19661445 1000000000000000000 584937151 458665751 73694725 261448152 1000000000000000000 552233593 101773275 453979438 368717032 1000000000000000000 74889284 74086653 59901293 29423416 1000000000000000000 103390828 97060973 13803949 3636673 1000000000000000000 812938630 69202911 805107308 562723613 1000000000000000000 384847887 29465876 86572274 118429271 1000000000000000000 68967648 19228726 56958896 49910000 1000000000000000000 912614960 715440482 329328981 694854062 1000000000000000000 987747874 397590888 770756427 601425113 1000000000000000000 261746750 28561785 6065993 107835580 1000000000000000000 372383976 168227382 5196790 115245599 1000000000000000000 227366148 71852819 112870870 212602262 1000000000000000000 333289966 213205511 183332413 11697044 1000000000000000000 342888569 267122565 100948289 262948898 1000000000000000000 393942293 77644748 41539336 239443901 1000000000000000000 115304781 55830743 81902132 82560079 1000000000000000000 128373807 19896481 8148351 107875510 1000000000000000000 244093634 76402615 80009966 50793834 1000000000000000000 298052781 57724146 247175127 137287374 1000000000000000000 498244328 412982251 69016740 372817758 1000000000000000000 574046778 32212246 317661112 547359602 1000000000000000000 656526870 72050001 148589691 468633861 1000000000000000000 338242014 288347189 159835491 159234481 1000000000000000000 287092017 122792654 147563420 85585771 1000000000000000000 657684403 395876106 53328096 370572989 1000000000000000000 982529122 384074563 623973664 947982420 1000000000000000000 234485345 33293068 120475289 8985936 1000000000000000000 781122542 664042949 151103486 511813209 1000000000000000000 648866239 258045102 32216407 561145526 1000000000000000000 979406592 855990015 363129067 574540038 1000000000000000000 486586390 215730377 419097106 166685029 1000000000000000000 23979777 16557456 14711127 23663175 1000000000000000000 12248915 2644886 11817216 5519638 1000000000000000000 482637917 248675340 167294035 41687260 1000000000000000000 909337178 188655496 619289858 795958680 1000000000000000000 533160225 43154455 199959171 53254048 1000000000000000000 219371844 42517915 57434234 33137740 1000000000000000000 138741414 64321387 100078670 112893874 1000000000000000000 88011965 8440724 44347764 37039315 1000000000000000000 732454784 620326560 637180899 211071946 1000000000000000000 459723958 239574493 333779800 377250816 1000000000000000000 332658069 240815074 52462689 126293703 1000000000000000000 609260731 605733236 85419244 486757928 1000000000000000000 523428704 488049840 453044638 350182409 1000000000000000000 192988747 147487596 58971276 5383251 1000000000000000000 980173724 606906166 713114806 464577486 1000000000000000000 134188496 114506101 56334579 65123351 1000000000000000000 850579768 3825084 432768254 733510367 1000000000000000000 935647867 909676163 174565901 418048588 1000000000000000000 550329250 336826548 419898975 177296805 1000000000000000000 587246585 482562199 455214543 302824560 1000000000000000000 253486343 141996635 217219105 20225288 1000000000000000000 777912325 771273462 37458705 329989960 1000000000000000000 728399077 344247804 41167219 483853181 1000000000000000000 376308299 243416072 353850810 314517033 1000000000000000000 922718377 858482892 814710779 307259394 1000000000000000000 841746952 115692915 182765660 229295108 1000000000000000000 204591027 109292980 180574025 35275472 1000000000000000000 287490272 262343314 70787304 70020706 1000000000000000000 835964891 545168753 741431844 588657727 1000000000000000000 992683923 327642874 131410414 437700254 1000000000000000000 725317315 702308794 38347579 254342853 1000000000000000000 787453396 148888475 444354468 29098869 1000000000000000000 597119747 70616225 385531334 215127259 1000000000000000000 760943374 590720289 728957888 481085608 1000000000000000000 743956003 119252968 87643065 511598824 1000000000000000000 778747969 662552162 202103243 494818717 1000000000000000000 215210297 159044561 158724661 24285319 1000000000000000000 890092873 803677602 216350680 487880027 1000000000000000000 391527354 6012296 101302484 51095027 1000000000000000000 820616791 494275659 261535879 213521313 1000000000000000000 928398604 732762503 442449485 234202847 1000000000000000000 576643209 236999086 131521106 248697312 1000000000000000000 679470835 588902921 500652572 143518959 1000000000000000000 363254211 160905354 338926975 225966607 1000000000000000000 701313762 311037513 58304647 242412774 1000000000000000000 303636817 182183023 77177455 225002367 1000000000000000000 754347252 473734858 316606876 578433648 1000000000000000000 649263811 112631260 485572316 397599339 1000000000000000000 576756176 44641068 12179293 89066901 1000000000000000000 704517430 622867525 487664775 467060046 1000000000000000000 303089648 54270619 225461647 123866152 1000000000000000000 40339454 10605662 17952472 19974280 1000000000000000000 452912631 6026054 395658667 66704057 1000000000000000000 305128287 192983783 152237366 131493867 1000000000000000000 679963795 390674717 555757523 670232277 1000000000000000000 850601887 56300767 372426373 690976900 1000000000000000000 461808299 343974886 375563824 202153084 1000000000000000000 814362331 704983730 812413457 587493265 1000000000000000000 557192619 469381630 414858064 66036777 1000000000000000000 436329594 156421572 208635146 346984146 1000000000000000000 887732960 422321569 280156149 72950875 1000000000000000000 684747593 589799978 100419075 317626228 1000000000000000000 425765056 157405832 238047494 74139826 1000000000000000000 883026470 853669637 79356521 762703670 1000000000000000000 567558705 567163575 137807206 312349660 1000000000000000000 990421024 116182596 370797953 698653003 1000000000000000000 616728825 271794709 176183746 306492224 1000000000000000000 771559892 472972235 742733523 389223569 1000000000000000000 467046084 284745658 46540527 173105599 1000000000000000000 868302789 762600555 30306638 351442986 1000000000000000000 529636695 405419080 261828535 395702071 1000000000000000000 588782607 253142396 229838347 15955221 1000000000000000000 710586225 204504503 398988340 307323113 1000000000000000000 579277705 313401056 8699743 153988141 1000000000000000000 111784848 20675757 75594704 38933407 1000000000000000000 33108438 32978435 4085126 12118537 1000000000000000000 999503473 587989569 826771483 147713190 1000000000000000000 445168550 144617973 179295337 103926152 1000000000000000000 921967256 106302003 855143314 756676286 1000000000000000000 285657954 184902669 40811309 8334637 1000000000000000000 360201176 14764192 30732240 175011718 1000000000000000000 30899360 18451574 20350491 16617143 1000000000000000000 638268134 614799938 593604717 447437092 1000000000000000000 362811213 260731405 115996848 53322676 1000000000000000000 196136099 9831081 140023249 105190819 1000000000000000000 157005618 97650330 18844983 108411817 1000000000000000000 946927680 230350193 653921109 883987063 1000000000000000000 87334139 84197457 30728128 81001573 1000000000000000000 168680642 88264319 2468656 37324985 1000000000000000000 950711721 919949040 198247338 197432720 1000000000000000000 397229393 28411131 321023132 334635219 1000000000000000000 477076878 475256899 71958698 346410495 1000000000000000000 676780983 59727844 278573192 88936306 1000000000000000000 787879088 281869395 751371032 433771615 1000000000000000000 162624181 137533840 60176573 139474940 1000000000000000000 472357281 91049142 245415506 4271944 1000000000000000000 85653161 3019227 10020785 38072677 1000000000000000000 302820392 168224981 194865393 172849992 1000000000000000000 486285488 470361517 297151101 295171584 1000000000000000000 61590209 15621924 54100990 7348385 1000000000000000000 431749604 149078374 130560887 31819913 1000000000000000000 255438211 215900279 75571487 174553125 1000000000000000000 806952391 218300546 801315966 458460417 1000000000000000000 220438472 104391315 67192846 202898652 1000000000000000000 760598152 360318061 314652533 298727408 1000000000000000000 685594619 520931550 618233031 144870338 1000000000000000000 191841183 14253557 138620138 164309218 1000000000000000000 147488256 37477717 135549630 127012140 1000000000000000000 507272635 62978171 56961916 81509366 1000000000000000000 343999962 61288312 46506394 27350630 1000000000000000000 237272845 38908142 12481410 130030457 1000000000000000000 959657144 322791818 680618352 427584947 1000000000000000000 714245978 452086599 344570865 91376562 1000000000000000000 762643608 711003666 393142804 307820174 1000000000000000000 881382382 192876355 223546127 743282071 1000000000000000000 139637009 112801925 44704040 49159918 1000000000000000000 653725936 232255452 25610458 269369470 1000000000000000000 386402444 328800382 76618129 196179844 1000000000000000000 346677119 174803954 213689129 71057604 1000000000000000000 870759003 768306100 559498908 762029326 1000000000000000000 846307084 374790962 297027178 616455655 1000000000000000000 941777321 473362315 340593606 547960175 1000000000000000000 67942684 19143222 18998085 17012595 1000000000000000000 162545688 102594321 67178372 34648440 1000000000000000000 193385503 107659274 910531 128300831 1000000000000000000 773580639 309546061 543187043 708091751 1000000000000000000 854055980 105920185 2974734 45046811 1000000000000000000 770458640 221126177 13405447 281992958 1000000000000000000 783232895 459732544 80741872 266768836 1000000000000000000 306833791 181571239 241087764 102378132 1000000000000000000 272134755 225026079 5900072 139805340 1000000000000000000 902085827 200490590 215643003 663304091 1000000000000000000 703162685 646521197 43720995 520477946 1000000000000000000 842303517 150450354 699990519 380770831 1000000000000000000 275790902 83202999 115342917 187479343 1000000000000000000 578852880 127167770 112776757 268938507 1000000000000000000 687600631 157191551 322622270 95891932 1000000000000000000 809165671 258433522 99282077 512269315 1000000000000000000 945504278 64350683 612814389 378706227 1000000000000000000 5240930 1384572 4588405 1559626 1000000000000000000 557129977 374368551 397783024 292470806 1000000000000000000 534357114 526699119 409621735 431465795 1000000000000000000 670593580 23551720 526300917 667911686 1000000000000000000 764902819 146027142 591868175 462322790 1000000000000000000 56398214 5451613 43881532 4725257 1000000000000000000 114631321 111177354 114276690 91535670 1000000000000000000 746769754 293964646 575467838 614684874 1000000000000000000 614220495 100511596 397944023 481792135 1000000000000000000 86533741 75722373 51017699 19968501 1000000000000000000 230446284 149494220 93393633 213308054 1000000000000000000 469017495 247392797 417108003 89762595 1000000000000000000 538944997 12544180 502713860 114694817 1000000000000000000 79885076 14015758 72725514 75453514 1000000000000000000 185081617 123193326 141865223 21081185 1000000000000000000 829901209 327725079 14323466 250640868 1000000000000000000 677126085 382038764 490615914 520382501 1000000000000000000 37483768 223691 14250008 21850742 1000000000000000000 127048230 36511883 102359832 107464241 1000000000000000000 193984933 189385842 146461453 94744182 1000000000000000000 831092654 321933295 221616140 606171884 1000000000000000000 101271140 61366909 7596903 21021485 1000000000000000000 362235624 12117012 61319756 196022511 1000000000000000000 76721379 40821582 42871612 43000063 1000000000000000000 493001091 460777374 7485303 140779882 1000000000000000000 409984202 145422649 19641298 129375529 1000000000000000000 339267044 228054826 168664392 98797270 1000000000000000000 578577471 105265759 243970193 190211109 1000000000000000000 250042354 150287095 62598746 87165309 1000000000000000000 886494040 411488294 123696277 555442020 1000000000000000000 895332041 297497740 169422864 175332313 1000000000000000000 231129722 118651031 52054866 122771987 1000000000000000000 757791361 386064331 598895575 428643698 1000000000000000000 996211964 779090242 733658701 135747512 1000000000000000000 948210716 678062610 354572296 31546963 1000000000000000000 232727644 167305084 117952971 105686429 1000000000000000000 677424337 343589660 159462234 271513134 1000000000000000000 979735740 765507447 568647917 882774923 1000000000000000000 89036972 4141904 972311 26927597 1000000000000000000 198915715 65565865 160930026 149549172 1000000000000000000 868263036 103828187 66653946 328034527 1000000000000000000 236432790 17398095 138303217 128831284 1000000000000000000 171057783 95002872 97169990 126323949 1000000000000000000 303058038 79285338 58626583 164536556 1000000000000000000 735954878 213327164 156252674 216016050 1000000000000000000 758821317 200758778 472718152 476355414 1000000000000000000 200702160 185879981 114917805 159020088 1000000000000000000 635052229 152402110 260338035 389911291 1000000000000000000 636784631 335081257 139473238 246060125 1000000000000000000 920263740 494464326 915822583 363372407 1000000000000000000 369043073 97373315 121763183 352571544 1000000000000000000 7589740 2266622 3171285 5894543 1000000000000000000 542523367 206309025 319235829 117097387 1000000000000000000 415179414 268994398 277656634 229022981 1000000000000000000 327814697 225941770 101086997 126714614 1000000000000000000 66080632 35344896 30406376 43183232 1000000000000000000 391063174 11071461 383851951 338733054 1000000000000000000 934179519 499022830 781294126 422838363 1000000000000000000 44343541 32816426 10111718 8782524 1000000000000000000 234318702 206119668 119066104 116879821 1000000000000000000 30984688 9698212 3582544 8300980 1000000000000000000 490765906 338012641 363439231 53846543 1000000000000000000 866630002 863141445 239973902 554943728 1000000000000000000 171501125 97881446 35527738 78508704 1000000000000000000 705811404 219898402 692602699 96308416 1000000000000000000 426675739 379280267 62900773 141337961 1000000000000000000 657259068 531329463 188490387 605203528 1000000000000000000 607776057 531419859 499478576 172547402 1000000000000000000 735508174 237911402 652378655 375956208 1000000000000000000 957939345 856459698 268709646 935158328 1000000000000000000 699575187 324007661 79619689 211301480 1000000000000000000 788618738 606207686 664587442 588465675 1000000000000000000 231829106 204330279 87424037 26636904 1000000000000000000 976776383 352110093 903760951 294257414 1000000000000000000 54296174 43900499 28938587 26710237 1000000000000000000 827146421 77279661 644838389 300850576 1000000000000000000 968010023 150282513 706866941 364506537 1000000000000000000 402699939 310888958 188020375 207580255 1000000000000000000 998437341 394834239 131324855 107294539 1000000000000000000 315720140 174285150 172346260 158941620 1000000000000000000 319260583 287487101 47783320 126140154 1000000000000000000 765885448 336389094 276335705 202342652 1000000000000000000 563431001 87499972 346152394 298212648 1000000000000000000 743763948 243605385 48329673 201560383 1000000000000000000 645140868 363211016 487017410 66350699 1000000000000000000 853236315 341058580 794624058 519298573 1000000000000000000 676472322 107801971 363217767 459928789 1000000000000000000 686657759 148074180 92947441 504630906 1000000000000000000 703018037 193434573 210357726 496635552 1000000000000000000 758932153 103516309 702785710 382760161 1000000000000000000 903717908 725642854 857009921 226073790 1000000000000000000 310932373 140824421 77717661 308256484 1000000000000000000 892668707 695115535 209344591 882258715 1000000000000000000 663210838 182905376 37924585 386756937 1000000000000000000 202528784 27177103 63880184 55872560 1000000000000000000 491697054 57427011 96452338 81180290 1000000000000000000 799107855 585066238 610248447 351104897 1000000000000000000 748486736 537279381 233405250 283715750 1000000000000000000 527633766 144760370 249421034 414743045 1000000000000000000 364012752 61898514 335446894 19517797 1000000000000000000 76648172 8430254 44181645 19720242 1000000000000000000 308342499 304975682 87566101 119198368 1000000000000000000 295990919 151876940 251272537 197529681 1000000000000000000 902512633 408845577 340309269 801825437 1000000000000000000 517789849 93370191 217215972 150723145 1000000000000000000 210676491 74944904 153672415 75092292 1000000000000000000 597898665 234338359 343471345 82328217 1000000000000000000 635753610 181939193 27213609 187324073 1000000000000000000 240572006 86023022 9725650 126326074 1000000000000000000 415052185 237981502 193880515 374492017 1000000000000000000 222427365 7646199 219828057 30396605 1000000000000000000 547656223 418340260 529287891 59431929 1000000000000000000 535591043 388234397 38717760 23750252 1000000000000000000 693856860 416573569 556656692 603686101 1000000000000000000 612149761 22772630 554821609 373583760 1000000000000000000 978407964 454838491 208944097 6309756 1000000000000000000 381919640 117128770 209412385 73252197 1000000000000000000 141993819 90448548 33221423 97010019 1000000000000000000 28880545 26541570 9307197 9257183 1000000000000000000 116570981 32619314 84813605 74237660 1000000000000000000 896631835 244957999 305550785 498297501 1000000000000000000 312348064 188020008 173681688 222253891 1000000000000000000 746188758 164569322 512609829 308402303 1000000000000000000 522721423 22168857 150644200 347617193 1000000000000000000 546455381 515293324 359924994 100356330 1000000000000000000 448129552 390698790 268361315 228017406 1000000000000000000 926053818 796589484 381757515 347819294 1000000000000000000 296322200 96312541 33194864 233812258 1000000000000000000 551047226 311270503 284640785 398752597 1000000000000000000 182992174 11541746 13376872 155126573 1000000000000000000 348374553 107274564 258888754 334853651 1000000000000000000 621967024 366150130 390078056 189462023 1000000000000000000 269463084 148333622 7811594 22933342 1000000000000000000 228881596 77025574 21864698 122431591 1000000000000000000 907651721 172152683 829787992 279235899 1000000000000000000 140429068 37619120 51849669 140424253 1000000000000000000 359690003 57596347 248304409 353590248 1000000000000000000 165971053 164154701 162570326 18082804 1000000000000000000 293806456 74194707 252225381 21187504 1000000000000000000 939473859 142860050 906117677 587956033 1000000000000000000 624703710 318760615 269380788 354187181 1000000000000000000 540568801 339893090 404810911 529158325 1000000000000000000 494746527 234863478 40413386 436240869 1000000000000000000 951759999 6314105 635526220 71008995 1000000000000000000 993029373 743205865 147075607 137340879 1000000000000000000 169380222 23770298 143033412 62281289 1000000000000000000 374554480 309286569 221686106 230269179 1000000000000000000 477498145 435693495 216935080 439554216 1000000000000000000 359746957 329852000 230982332 58785345 1000000000000000000 899542569 671602171 416928742 829908007 1000000000000000000 988691703 417189648 947477250 3260389 1000000000000000000 458857449 106650477 235036703 255907044 1000000000000000000 165311349 99819031 120558111 135806830 1000000000000000000 727062711 379518053 640343549 200916474 1000000000000000000 458790254 363047666 122474715 105329777 1000000000000000000 247998067 158437337 110684539 62325566 1000000000000000000 758371240 632402538 273323574 717247857 1000000000000000000 274620882 98093513 221295067 13840380 1000000000000000000 935704287 7536025 153220968 12405691 1000000000000000000 292276207 40771353 85057310 220562368 1000000000000000000 245178448 88133587 182898053 131553096 1000000000000000000 411592645 291269505 189686114 39835380 1000000000000000000 306265816 66639638 139217169 199724822 1000000000000000000 151897518 138593771 47683366 102095732 1000000000000000000 806157189 9496417 207770862 204382260 1000000000000000000 194784610 22228342 191788545 28185254 1000000000000000000 978103327 779627527 193117621 348875850 1000000000000000000 352347805 252065466 349843283 115231502 1000000000000000000 145274786 122098585 124380279 47062987 1000000000000000000 791912633 725674061 733753741 711525904 1000000000000000000 431738224 5145613 322514449 391655942 1000000000000000000 504500977 102850471 392155499 334168090 1000000000000000000 137723863 133343715 14719891 13858782 1000000000000000000 568430721 558710757 65807008 267246928 1000000000000000000 993663081 794639397 102076609 619703353 1000000000000000000 517521377 345230067 399545027 134075241 1000000000000000000 890929173 747638666 594367873 777247587 1000000000000000000 405990082 385820499 346903301 292488734 1000000000000000000 174957043 61102526 170229208 140819016 1000000000000000000 138265072 130011772 84929268 102349204 1000000000000000000 688094486 296910502 17304010 333503443 1000000000000000000 143051263 70026573 118212428 51550662 1000000000000000000 446000466 279341397 292331342 336147246 1000000000000000000 198685634 12686262 189115200 84024681 1000000000000000000 317253244 186709780 23555650 51735179 1000000000000000000 748716452 404757556 298907175 374041003 1000000000000000000 967465980 1225441 799625899 497871648 1000000000000000000 77820786 8840812 42076143 74906362 1000000000000000000 431503607 23843007 339349024 281275837 1000000000000000000 273420568 214852200 239255571 212633931 1000000000000000000 415518523 93533766 254523418 281666303 1000000000000000000 663458826 42144633 421894336 120534371 1000000000000000000 529414836 18634444 232818567 143373006 1000000000000000000 708464338 672099177 704066467 278210528 1000000000000000000 612721438 217845145 84448574 365743922 1000000000000000000 903203086 842281955 370077379 315874722 1000000000000000000 494961582 364146811 40922554 19829003 1000000000000000000 598832686 584259198 528592118 326231724 1000000000000000000 727988059 597507150 184005001 372314697 1000000000000000000 228331314 195795704 32636805 223810770 1000000000000000000 262832210 9855600 18165872 7327437 1000000000000000000 887643264 393092384 761725829 283695945 1000000000000000000 932697684 766850543 15059250 720248400 1000000000000000000 556856353 134660545 351133743 127772727 1000000000000000000 18848210 18027224 3262124 16439022 1000000000000000000 679305378 527556621 357792248 146007432 1000000000000000000 309018272 225172763 99109474 206697273 1000000000000000000 552693651 415063764 105090409 194321086 1000000000000000000 504729499 254465678 249732903 280879372 1000000000000000000 765421946 763830455 257005891 625624517 1000000000000000000 332036962 310028679 210020115 61270080 1000000000000000000 657276006 426872695 530832864 38109560 1000000000000000000 426033924 102864068 379085224 315946643 1000000000000000000 492209338 483588709 107269743 60870998 1000000000000000000 471375109 241378601 337035152 414321744 1000000000000000000 373027778 178603903 312416869 250397882 1000000000000000000 650149235 626467913 76568285 73770631 1000000000000000000 888002887 372532476 509840554 332843956 1000000000000000000 63149117 19525308 58492144 50161263 1000000000000000000 995863529 644846451 245571 982162674 1000000000000000000 89966475 84118149 71331521 16131974 1000000000000000000 79407935 51514815 33297466 43703310 1000000000000000000 798123757 772230395 585559013 736752834 1000000000000000000 881771333 772625357 751140614 275187195 1000000000000000000 292441264 127110386 160468172 152782551 1000000000000000000 1082769 894625 105881 275432 1000000000000000000 93719397 41497136 87357548 71795224 1000000000000000000 27996288 27184108 24846573 3268294 1000000000000000000 653380116 526439743 71764231 127222241 1000000000000000000 50574808 44407894 21651391 50238687 1000000000000000000 261013539 228863126 178621995 121429665 1000000000000000000 413622859 316195462 268076305 107158292 1000000000000000000 223718557 115301891 169972691 57291624 1000000000000000000 503130460 97714622 314591058 35984109 1000000000000000000 654137626 499379759 525416040 374126303 1000000000000000000 136177986 70275235 8511700 86547428 1000000000000000000 633417540 480411329 536607330 170598063 1000000000000000000 592513021 65797517 155813044 533580823 1000000000000000000 170832519 159601953 112271285 142585866 1000000000000000000 618522409 131358819 572309222 325378583 1000000000000000000 422100445 15782522 370895720 257175390 1000000000000000000 412317982 71129858 332115501 24922802 1000000000000000000 338710575 331316873 66429120 45313723 1000000000000000000 465663788 256475385 155611188 219162613 1000000000000000000 194043084 37462798 53081894 103398229 1000000000000000000 983408401 198867775 255433980 471920881 1000000000000000000 302480772 119667010 15737205 271805470 1000000000000000000 828676960 382434610 413091265 723314973 1000000000000000000 353824109 42029322 303492824 6300832 1000000000000000000 461866464 77786577 193521166 134733347 1000000000000000000 751304102 288900553 294649373 47328183 1000000000000000000 198546516 84804455 69019779 26106577 1000000000000000000 215065426 49399453 116431206 135368459 1000000000000000000 771082154 623272434 64549073 726981006 1000000000000000000 547916681 300031573 250885175 116257029 1000000000000000000 407901861 75026519 230628767 163470268 1000000000000000000 865454842 361690450 216684302 479879312 1000000000000000000 657650698 593389937 11547262 389419252 1000000000000000000 949408819 64619775 321825142 332134072 1000000000000000000 460841240 373499980 455365023 121265544 1000000000000000000 817469478 767134539 57983615 499641117 1000000000000000000 962015031 224993498 215324897 544544515 1000000000000000000 403409620 77800752 168475087 89720938 1000000000000000000 803613808 14635228 526411962 364271572 1000000000000000000 442358920 203436313 181261010 39095516 1000000000000000000 815574392 332564433 567707899 270331461 1000000000000000000 932747528 506066387 669281630 405104527 1000000000000000000 562062254 85077670 234196900 141856865 1000000000000000000 605619905 358664220 505553129 312032600 1000000000000000000 67616726 62099048 58070872 38260319 1000000000000000000 624927261 119380229 48701187 284193592 1000000000000000000 770138462 496760968 409305942 256346060 1000000000000000000 113551612 24905246 46558047 101081858 1000000000000000000 236079167 96039174 122384774 165750975 1000000000000000000 641064231 167382940 204359809 37797819 1000000000000000000 28341499 24333994 864836 24593883 1000000000000000000 880740602 759933010 700517777 638546928 1000000000000000000 75691604 74811699 950031 67430313 1000000000000000000 320505962 166756775 319293209 21419359 1000000000000000000 397868925 105697395 293421721 99543880 1000000000000000000 734482544 571648198 347853933 192563568 1000000000000000000 376683033 236643410 65224085 137720504 1000000000000000000 113255043 2735264 41578297 32021071 1000000000000000000 58085984 29108911 33801507 51661886 1000000000000000000 10854062 6939626 153299 7422404 1000000000000000000 442872732 301512668 21420761 89683124 1000000000000000000 926619879 746784549 509516362 489020398 1000000000000000000 834244351 492169444 754371105 150325504 1000000000000000000 644802403 346931142 169949120 193286860 1000000000000000000 207209605 51783873 106030300 75803181 1000000000000000000 760059369 481102009 565533542 134851914 1000000000000000000 260867915 41506074 31059156 157218564 1000000000000000000 388050154 38924901 283256799 36195191 1000000000000000000 215694941 19755205 34106750 204885029 1000000000000000000 782076236 41399012 774829492 68517821 1000000000000000000 567417123 157581850 83311392 4710063 1000000000000000000 618491747 480557561 611672048 432476234 1000000000000000000 663066112 178930167 168647557 93785185 1000000000000000000 133190549 98811257 73859767 6808899 1000000000000000000 594606991 593559003 411080298 488548956 1000000000000000000 173981658 17096097 64157181 150729811 1000000000000000000 910371767 812273794 372129053 26612948 1000000000000000000 742205019 502834606 528664406 380103252 1000000000000000000 665706575 452919841 278334375 46472484 1000000000000000000 6332597 4358923 4860242 5041578 1000000000000000000 864242035 479703705 545493500 538086368 1000000000000000000 818223499 507515877 534544434 413923854 1000000000000000000 80148037 21088151 13924472 6446591 1000000000000000000 263821412 216106431 123347527 261653848 1000000000000000000 217114743 186467349 194135945 81933493 1000000000000000000 520751691 166091480 486033307 396024937 1000000000000000000 156299144 115975264 31831129 59356734 1000000000000000000 45036654 31521295 32482100 25354723 1000000000000000000 737520581 558787709 736508105 677291831 1000000000000000000 570152142 330590465 477193235 121011051 1000000000000000000 786329284 34691526 243887948 678509927 1000000000000000000 421758126 216112609 309762167 252595699 1000000000000000000 439583064 44661915 250871403 151816637 1000000000000000000 854610239 10067313 498607492 329499435 1000000000000000000 386488570 146895569 185518257 56202480 1000000000000000000 78603746 3029419 58818034 17419021 1000000000000000000 70791219 59661693 29319954 45708087 1000000000000000000 443161617 260905552 144066596 400589256 1000000000000000000 408329435 142371664 15556943 115166448 1000000000000000000 509658959 233754668 482411139 173162737 1000000000000000000 242841504 101965989 191998020 3822976 1000000000000000000 768307031 561144315 123949880 224037101 1000000000000000000 473835523 43385530 14349493 393286487 1000000000000000000 422875411 373741764 17531575 289266428 1000000000000000000 991603196 744037273 798330470 629197501 1000000000000000000 984268437 338410721 14250755 454297691 1000000000000000000 158770311 60702929 37859851 81305357 1000000000000000000 347663155 74429710 221923326 225504353 1000000000000000000 302941156 241347342 164363510 122752214 1000000000000000000 885795836 325480077 595732508 555891489 1000000000000000000 793441645 773983648 749120520 146876293 1000000000000000000 766023542 726532247 381769799 442676283 1000000000000000000 727249784 335440664 444581389 286804859 1000000000000000000 484879181 102883476 436513396 448424237 1000000000000000000 504800642 337302345 99259737 448966079 1000000000000000000 508466736 290285233 451712193 81283570 1000000000000000000 337206889 102141146 280081227 267256281 1000000000000000000 516878844 230060942 23886592 509336397 1000000000000000000 731466861 250205644 154923247 204182714 1000000000000000000 346434390 29906041 331575815 140655061 1000000000000000000 395174205 164142245 71485193 368658073 1000000000000000000 144168767 56922659 127350765 90850587 1000000000000000000 475952494 120452374 162053901 144623564 1000000000000000000 921705428 766433596 246776318 153955582 1000000000000000000 176521243 175142928 44942602 170052394 1000000000000000000 989066807 134462636 303839735 203299349 1000000000000000000 892619228 363882307 337370610 195861912 1000000000000000000 168341643 91710514 141506266 112861004 1000000000000000000 498348437 69435517 103451855 366034863 1000000000000000000 706392065 103557273 40280593 559340493 1000000000000000000 422357537 379097245 56455174 419093987 1000000000000000000 937826817 650793731 709665461 313329640 1000000000000000000 415808354 230740241 355735825 330704235 1000000000000000000 414720268 79909878 105235848 363065343 1000000000000000000 975458724 413179713 285938330 227426162 1000000000000000000 153695925 66720577 107437154 48423492 1000000000000000000 620646189 490795674 206510737 619664611 1000000000000000000 930165210 398325232 37143938 470263107 1000000000000000000 620011783 492963044 407276704 251002069 1000000000000000000 750163057 83491915 564450475 705790472 1000000000000000000 998843599 23652643 540767723 485394455 1000000000000000000 111993295 77970587 85419700 107298638 1000000000000000000 402590244 187945618 132103655 204181007 1000000000000000000 954420850 495273613 237621934 413971448 1000000000000000000 607189266 434004771 414901371 269381300 1000000000000000000 347563682 28398109 60172236 187878287 1000000000000000000 100451334 57877961 88800771 3023493 1000000000000000000 595033600 391060835 296665532 220832780 1000000000000000000 157016445 43181512 149244309 46034309 1000000000000000000 259317624 221427508 103204584 11106070 1000000000000000000 994331049 143299392 494524448 931257518 1000000000000000000 466461938 355977376 278939751 127853237 1000000000000000000 362180888 78244034 175785452 82315403 1000000000000000000 95583037 10441179 53493599 27798058 1000000000000000000 473575562 424703447 34910380 22179184 1000000000000000000 250159420 149296740 215184397 63503173 1000000000000000000 674860292 626878613 636251995 49168365 1000000000000000000 374429123 317828630 40150764 218469208 1000000000000000000 698818762 60856717 40737370 192111755 1000000000000000000 984895951 363479039 979510961 907248790 1000000000000000000 627577052 235899336 117099774 31580324 1000000000000000000 106434870 61641988 96583756 26005196 1000000000000000000 563337911 551544257 524718001 480027612 1000000000000000000 978555030 834930935 149363432 303533270 1000000000000000000 221995615 8530402 127698662 73805799 1000000000000000000 578851655 75270064 161825695 255173765 1000000000000000000 991843986 616020142 464066213 958818320 1000000000000000000 785191926 707693452 614672931 429197549 1000000000000000000 91070251 89158266 72590514 44155940 1000000000000000000 230466479 192344520 54375769 125627025 1000000000000000000 664946966 631443904 333911213 501754858 1000000000000000000 738663784 611041115 530837205 417077203 1000000000000000000 266677134 7213480 241836106 31905467 1000000000000000000 239907635 215855237 199233545 129506716 1000000000000000000 41336204 40153678 25581701 20267209 1000000000000000000 842240605 282402179 255780297 217433093 1000000000000000000 397398045 300343881 68003041 134649155 1000000000000000000 992078935 268909420 293068161 59942832 1000000000000000000 657834763 427005239 460976876 655538148 1000000000000000000 490429311 127249384 2934532 333233456 1000000000000000000 584097781 371070311 271221863 318687677 1000000000000000000 926118833 685724354 460422127 710376383 1000000000000000000 150835011 9375990 133037510 142884349 1000000000000000000 64514817 17181266 31896244 31791158 1000000000000000000 904344111 660542414 253249228 801579913 1000000000000000000 747155986 741482495 394986220 214831447 1000000000000000000 989023044 246324157 153473150 238287223 1000000000000000000 754233471 337025505 348303581 619188420 1000000000000000000 375819591 359518001 103326062 339935690 1000000000000000000 418823728 390620603 275542194 34853745 1000000000000000000 988008115 97437582 480074690 742120199 1000000000000000000 314754588 174327248 313637684 94017359 1000000000000000000 253719547 74179466 112469875 206269034 1000000000000000000 122882335 117674740 49825739 85176187 1000000000000000000 450665659 103393918 17898546 161186310 1000000000000000000 368969807 269556588 24093282 31671142 1000000000000000000 642914431 595911545 173449616 24040192 1000000000000000000 268448649 136812784 90194904 221691453 1000000000000000000 770844525 688228138 764318499 701060749 1000000000000000000 719834364 414043342 554304984 292444911 1000000000000000000 618018175 440019092 54301265 455923893 1000000000000000000 582796937 413564390 202330190 122573605 1000000000000000000 6380109 1388743 247652 2913751 1000000000000000000 182964712 9462888 78504730 86202368 1000000000000000000 655675554 530151066 291776872 226028558 1000000000000000000 486845334 299584614 299683738 154520767 1000000000000000000 97042879 82076489 46956769 59872638 1000000000000000000 559464905 492844358 280125917 479081178 1000000000000000000 89087647 36936290 27132267 42194739 1000000000000000000 76742353 63062078 34291193 43164576 1000000000000000000 610726554 67724972 242652276 444487226 1000000000000000000 512097216 91789251 453565964 378100764 1000000000000000000 575541658 518877090 291124540 564779132 1000000000000000000 737135297 66371142 576619257 359966317 1000000000000000000 5872807 714776 733224 4455929 1000000000000000000 248285983 114740196 125902742 165279337 1000000000000000000 351735259 163748802 347602466 73484973 1000000000000000000 788228249 587797338 774812411 498392749 1000000000000000000 421292272 90737648 208240459 155435032 1000000000000000000 816380393 359301517 382584462 100328562 1000000000000000000 350056943 298231641 248635096 13660355 1000000000000000000 778966068 84595338 181529163 49095411 1000000000000000000 498256200 283548349 272782036 184446427 1000000000000000000 460818196 389465389 333276270 264398612 1000000000000000000 705972270 497157437 678127105 83104658 1000000000000000000 988562450 797230442 384280371 794212327 1000000000000000000 492136822 379332137 5675081 470887771 1000000000000000000 986602329 564682071 513533003 884241863 1000000000000000000 595253238 232279944 28769300 16275112 1000000000000000000 573519333 293759211 308714761 167195906 1000000000000000000 556691966 8168226 497437301 547172094 1000000000000000000 723555395 254142494 631150284 417119576 1000000000000000000 391817071 90211078 334474472 267569745 1000000000000000000 736328454 443390004 6491064 517724512 1000000000000000000 797616912 573693321 563550337 259845274 1000000000000000000 295809704 246409841 84984707 128800601 1000000000000000000 225904621 200652371 154076092 3081116 1000000000000000000 132144196 22542618 34818883 82701354 1000000000000000000 119041310 29246010 58772273 83634324 1000000000000000000 175191729 124834290 102073354 54115855 1000000000000000000 140211353 71775005 34401165 16224207 1000000000000000000 646680252 8018878 264895970 57909229 1000000000000000000 698076378 147175999 233669626 209104506 1000000000000000000 907754570 649877919 694922229 593212361 1000000000000000000 685010204 34804877 20771849 86766718 1000000000000000000 530579708 471230412 93312939 491526758 1000000000000000000 228733696 165846845 13964609 56821996 1000000000000000000 998275336 326603142 707042574 415749006 1000000000000000000 209544354 57116533 185322317 4731702 1000000000000000000 970623376 367787381 869476058 655301068 1000000000000000000 151930644 62392792 83387780 67775853 1000000000000000000 283783967 114351989 30411461 238320103 1000000000000000000 226948100 194398597 134019445 105684351 1000000000000000000 475258591 36569065 184567400 103352647 1000000000000000000 238009333 78324429 85569401 219796048 1000000000000000000 795384505 302875519 590973215 100097690 1000000000000000000 357570175 164005958 50253021 169352025 1000000000000000000 195376260 158323291 28460668 173613904 1000000000000000000 177213669 127918876 78384846 95129450 1000000000000000000 651895441 405560604 207003078 587516738 1000000000000000000 665433326 108819426 573906819 170616855 1000000000000000000 476266482 195410228 182694506 337203582 1000000000000000000 941240014 815565999 469488637 930108889 1000000000000000000 695552186 129940834 200573546 64233714 1000000000000000000 300635170 76355564 62619338 221221921 1000000000000000000 509404186 200191602 288771097 149483706 1000000000000000000 729938516 405318299 486911888 444442273 1000000000000000000 78200753 48146 16213798 48746730 1000000000000000000 281115611 60632406 9936366 146808509 1000000000000000000 825517400 387937023 45347029 216144414 1000000000000000000 771483229 281585180 58991084 433699112 1000000000000000000 387588871 35360402 288038920 151457519 1000000000000000000 926727202 503231560 166649319 414537618 1000000000000000000 626288475 368349568 12174146 123140251 1000000000000000000 887562118 679699730 865878017 541949838 1000000000000000000 13390251 12049749 11841608 12162677 1000000000000000000 377030342 157818079 116255376 365258287 1000000000000000000 643679168 178671569 374044542 614194267 1000000000000000000 829640640 250435498 514741603 180723522 1000000000000000000 725656100 173305206 470591091 244875863 1000000000000000000 969081473 477136508 656208505 312148208 1000000000000000000 477515623 448320339 442710066 213009372 1000000000000000000 148346981 131080831 74155214 21589077 1000000000000000000 730623355 461691938 150788199 528838787 1000000000000000000 296308104 75974184 233819731 64312259 1000000000000000000 698544795 228732589 84978678 593512763 1000000000000000000 770861792 541525997 465140559 547145598 1000000000000000000 521457400 362202525 456042269 414100479 1000000000000000000 770407779 172069371 623943304 20774212 1000000000000000000 259854301 217515558 199096315 214956277 1000000000000000000 603890206 252454700 188590765 100966084 1000000000000000000 634041007 465758406 397286440 133651456 1000000000000000000 928037633 239197572 757672433 401596721 1000000000000000000 275597063 139347204 232854052 166877976 1000000000000000000 512720789 186452291 212194195 334143667 1000000000000000000 204460 178370 42221 127298 1000000000000000000 184251522 17034213 95304007 150779961 1000000000000000000 531521526 51754880 341999827 234127003 1000000000000000000 483864504 134797481 51106946 332202668 1000000000000000000 477395691 335926756 236456978 176029034 1000000000000000000 792187471 744599660 531407518 614753541 1000000000000000000 302282951 243139410 290708471 212010148 1000000000000000000 741816464 252334990 402454202 59288612 1000000000000000000 68383570 34623873 47107662 33495121 1000000000000000000 332532598 100033465 150358398 52552673 1000000000000000000 422543743 240250722 421727426 85219348 1000000000000000000 631904905 291068332 561941608 519203235 1000000000000000000 648251396 470826926 362227660 154454753 1000000000000000000 538780540 18556753 57667175 348167081 1000000000000000000 377314944 22549451 135063550 126400440 1000000000000000000 411817991 225561604 40748250 327485091 1000000000000000000 612687092 556153395 324897292 494747347 1000000000000000000 784988586 344335931 94748012 312034064 1000000000000000000 333495345 294290014 299688581 14861497 1000000000000000000 807515817 496059321 565031541 774751489 1000000000000000000 545350355 252991096 206503273 321026187 1000000000000000000 905079941 443851054 478553319 12400247 1000000000000000000 888257080 492113901 262541101 143675793 1000000000000000000 948409382 849363115 581708180 176335930 1000000000000000000 321503251 46938218 78803680 177214040 1000000000000000000 370549001 259233664 326227401 266021377 1000000000000000000 861828197 504109169 36434793 543555682 1000000000000000000 463613415 65846787 447193876 60355198 1000000000000000000 776274763 608912457 756607820 12810296 1000000000000000000 771890917 703510145 538227989 166502197 1000000000000000000 522351133 496347221 238714814 289426406 1000000000000000000 621301251 221147461 592485070 445638210 1000000000000000000 677944562 535122979 570643316 466961721 1000000000000000000 797105752 631329577 533959185 451995857 1000000000000000000 483725041 289343577 63593521 470133804 1000000000000000000 176168549 89969328 66172751 40805539 1000000000000000000 529827157 456517726 218410256 352346538 1000000000000000000 637519759 429439165 411763553 52448897 1000000000000000000 553036126 434069546 149684885 403568768 1000000000000000000 519718117 513389922 422720358 123899772 1000000000000000000 696501398 611697815 533087270 663606826 1000000000000000000 159529701 156070420 95514622 122161367 1000000000000000000 304068186 298145950 271077683 171609738 1000000000000000000 40243594 12145533 23893353 1190583 1000000000000000000 309791370 82236334 299850398 67940301 1000000000000000000 437191188 338916023 252932816 376948120 1000000000000000000 789399764 230373520 1502946 172948093 1000000000000000000 937047921 453592762 336557553 415449232 1000000000000000000 608465362 141873026 477091741 181031685 1000000000000000000 14847158 13908710 13527695 13155060 1000000000000000000 957553360 58566420 176885152 15397023 1000000000000000000 522338509 300743932 288871858 484497931 1000000000000000000 880362390 381316016 346079064 129655202 1000000000000000000 941300428 353719105 532840875 798344144 1000000000000000000 257580249 92040927 166642429 170591621 1000000000000000000 827854206 11745831 303979799 588203876 1000000000000000000 966711640 298951972 433485477 542196670 1000000000000000000 260930583 247184928 182279041 162744324 1000000000000000000 133448579 8157020 97896958 101679522 1000000000000000000 351329315 324357756 27407679 301269305 1000000000000000000 352957352 327604364 298398399 257453591 1000000000000000000 839536017 75401347 398236376 737812179 1000000000000000000 273071536 114837170 120859907 11452589 1000000000000000000 728624874 106055516 215115452 88449543 1000000000000000000 847895490 414779840 49400183 75664445 1000000000000000000 964593765 73062169 312827845 370898443 1000000000000000000 899411142 459023376 655785005 593129111 1000000000000000000 249027678 99008996 149967284 23899461 1000000000000000000 940840446 693069146 44892455 223224350 1000000000000000000 939197546 151008336 320010405 624261656 1000000000000000000 81666541 47239657 15549977 33100616 1000000000000000000 28226783 3208006 20512711 19906231 1000000000000000000 573183699 225127459 539696200 340638967 1000000000000000000 381395128 266780458 156488889 273312547 1000000000000000000 22064809 5258323 17031835 11212729 1000000000000000000 200922920 185008621 51100997 192288251 1000000000000000000 52622284 30711326 50861908 18448741 1000000000000000000 683696364 284660576 137281817 626346776 1000000000000000000 196467826 125877723 46319129 36717856 1000000000000000000 864342018 306124839 580233100 135477830 1000000000000000000 391975947 329870900 209973419 214551128 1000000000000000000 15735459 8443212 4477988 3934789 1000000000000000000 512622608 137347900 466854602 97249219 1000000000000000000 668266480 608370054 454052423 480651078 1000000000000000000 688952766 416565392 330743975 429025372 1000000000000000000 777823837 502181751 360743063 621261484 1000000000000000000 291861499 225332991 94975120 161367917 1000000000000000000 340087129 87338077 19348407 141674532 1000000000000000000 274095743 195886691 60425561 228362825 1000000000000000000 510380011 9617975 199580024 199368860 1000000000000000000 333216917 52915217 92720130 90413125 1000000000000000000 220993337 114810808 48787310 73144904 1000000000000000000 893952492 298448069 859108683 412201703 1000000000000000000 870938147 512088031 326994097 226164285 1000000000000000000 131201503 95996439 56928672 39200435 1000000000000000000 312039666 187940747 162756450 102664295 1000000000000000000 559002556 178878966 233203917 46465281 1000000000000000000 12459275 11010544 5642836 12438612 1000000000000000000 773588812 429869312 258777487 580529972 1000000000000000000 424577300 259032857 32648555 306413462 1000000000000000000 698201609 233863683 323273506 205207687 1000000000000000000 306564377 133479219 175961364 111402941 1000000000000000000 786012680 734788360 682236824 102152942 1000000000000000000 33807945 3998442 17097011 12782632 1000000000000000000 311902850 238805764 287994027 155260031 1000000000000000000 520942464 371345741 384912151 158923140 1000000000000000000 460775835 1133655 455322927 283279739 1000000000000000000 15001052 4394824 9640368 12852119 1000000000000000000 770105550 137554468 312283033 281129973 1000000000000000000 35038508 15740918 32929938 15584875 1000000000000000000 672084785 351325477 39869860 515848186 1000000000000000000 107041666 50183424 52801958 50398991 1000000000000000000 293944016 217402041 47270798 259071056 1000000000000000000 126604445 109630653 33736405 37308698 1000000000000000000 202247461 98656852 200615140 47708622 1000000000000000000 616677976 576202369 461708107 454885227 1000000000000000000 918556613 891766930 449941609 797169100 1000000000000000000 274023910 15483227 37834163 106716041 1000000000000000000 779611292 580944012 229494407 152178239 1000000000000000000 385459739 125342794 274238198 92232551 1000000000000000000 30046482 26643777 5416431 3656104 1000000000000000000 979695693 263780099 159928401 545823319 1000000000000000000 937510129 96642624 96903538 44340452 1000000000000000000 67029530 3093292 17201128 57211773 1000000000000000000 323298566 295713077 169548475 102183135 1000000000000000000 232895759 206290009 14390458 231867132 1000000000000000000 463904104 264814045 433288074 431920759 1000000000000000000 140239346 37220740 26343600 35162726 1000000000000000000 583410682 70849115 251820308 126681516 1000000000000000000 181106569 138311034 163198394 11186870 1000000000000000000 617453970 252514271 153676689 140287970 1000000000000000000 160421578 18528195 70794169 145528399 1000000000000000000 109047698 46763068 50041044 60865630 1000000000000000000 809468757 263708459 543812428 798390951 1000000000000000000 879714047 685695946 856405816 861840857 1000000000000000000 736288573 119534829 413681816 379784371 1000000000000000000 35855581 35567869 14779100 30432395 1000000000000000000 194611892 23264096 19269094 74026833 1000000000000000000 871926267 460570171 636612266 79414906 1000000000000000000 887905536 530120598 307034232 102464983 1000000000000000000 305202612 97265386 76684709 64271104 1000000000000000000 236972705 129557047 95052278 23864343 1000000000000000000 585388015 103344470 233353419 303716559 1000000000000000000 702602504 356652447 616284202 272256304 1000000000000000000 724524386 387402030 590325345 463230830 1000000000000000000 377557823 163512207 136454112 2614619 1000000000000000000 913390671 780925156 662574868 183488001 1000000000000000000 168516956 83691277 72715180 69426348 1000000000000000000 534324390 421028122 511946290 238385188 1000000000000000000 750518352 436331814 657260949 231297206 1000000000000000000 265468380 48612871 45190483 227062782 1000000000000000000 249799133 206707887 89756980 168212435 1000000000000000000 914730027 775398692 677171707 96808547 1000000000000000000 7353534 6375478 4570227 2150661 1000000000000000000 37269229 28116027 24331683 31443270 1000000000000000000 160476136 82683127 4657162 18342953 1000000000000000000 586093468 30594645 174754384 193005579 1000000000000000000 450153412 123981018 445411525 357496768 1000000000000000000 595308201 194909522 484413830 561693534 1000000000000000000 563983279 341402342 487797256 324160096 1000000000000000000 683610845 557488340 633753302 568537702 1000000000000000000 781896215 330061952 748927504 617947006 1000000000000000000 624881919 558517305 202244685 504953188 1000000000000000000 567238209 139387482 408841200 288731155 1000000000000000000 329297622 182169627 64879897 184333749 1000000000000000000 130312504 31604962 49607429 91249153 1000000000000000000 462819636 101981769 86745573 163270402 1000000000000000000 842757622 35487420 22057152 56387002 1000000000000000000 414913219 229251652 160621140 388605334 1000000000000000000 309963512 129578376 217243528 3266458 1000000000000000000 857099767 185030805 98696397 57601729 1000000000000000000 922679254 120284121 211229372 571659159 1000000000000000000 454722311 229321899 33486855 104289669 1000000000000000000 282283752 205110242 236123344 23586522 1000000000000000000 320563402 250982903 15622520 275339529 1000000000000000000 342005303 203906250 80875037 168363638 1000000000000000000 317922493 26458669 29520195 62326643 1000000000000000000 503228802 210954129 162046143 274744096 1000000000000000000 868593730 179957358 432226199 520637756 1000000000000000000 300523400 199771068 159740449 91209442 1000000000000000000 988008998 846403223 496376307 17413003 1000000000000000000 55641947 1821040 12505185 31093197 1000000000000000000 800677467 667641475 107172674 594547808 1000000000000000000 129571410 54787433 62512346 19258338 1000000000000000000 849084108 130078451 801275208 260909267 1000000000000000000 36391770 10976181 17984451 22615534 1000000000000000000 121179871 115185958 107476266 68237724 1000000000000000000 168331053 34197594 68190422 37469656 1000000000000000000 629168474 627469775 46685730 64543987 1000000000000000000 240650015 24520455 88109642 183295856 1000000000000000000 769558200 626249544 543771361 313474385 1000000000000000000 990932975 378345802 104490631 486358525 1000000000000000000 247819651 148127199 219757969 62771473 1000000000000000000 372766901 110566523 177731557 222356969 1000000000000000000 699180847 186389821 162164153 641645027 1000000000000000000 491173646 261538524 183066549 448961252 1000000000000000000 129208596 101240102 89610406 82825780 1000000000000000000 696772955 46904636 317703144 44535657 1000000000000000000 29327309 9213420 22400687 4499257 1000000000000000000 534863140 255802566 186969569 119123830 1000000000000000000 255556291 228795861 137386734 255001425 1000000000000000000 987529483 214809552 864809852 183940790 1000000000000000000 639132469 329717871 635811658 435416945 1000000000000000000 906603666 865908937 269390252 400817040 1000000000000000000 633155974 89256303 624401718 601913476 1000000000000000000 816604185 11718705 287545863 465938181 1000000000000000000 750614498 555368901 739694624 267743746 1000000000000000000 936117057 105433042 232052074 306840566 1000000000000000000 275986673 185010720 82545716 79193488 1000000000000000000 105025182 82560069 63904395 100499822 1000000000000000000 292357304 271299972 203333635 225162001 1000000000000000000 202183557 29609218 45934265 150411739 1000000000000000000 629733201 264379236 463226314 156778687 1000000000000000000 131807664 129492951 114639125 118121122 1000000000000000000 288383518 222219685 205270521 274087188 1000000000000000000 665539895 19195386 567332503 235234683 1000000000000000000 745295682 552550848 404951816 386601192 1000000000000000000 338769807 85277438 30543062 115227102 1000000000000000000 112622608 110872426 91449485 102813980 1000000000000000000 821634292 154736784 268117165 515332433 1000000000000000000 457364615 237246435 69235523 192415199 1000000000000000000 853385740 126199958 77915631 212367483 1000000000000000000 502057731 315090672 342343347 13808402 1000000000000000000 567111302 245540203 425659427 443479940 1000000000000000000 535254292 293096097 465461341 41124355 1000000000000000000 601939721 244321657 180830166 593758765 1000000000000000000 758255874 167331257 675624907 594379890 1000000000000000000 943234621 527516610 71150856 561671527 1000000000000000000 639606437 101068080 395402399 72703165 1000000000000000000 318884563 168548500 145690436 248512635 1000000000000000000 213414109 157276689 185214127 26670807 1000000000000000000 91449758 20118464 58770264 7597061 1000000000000000000 795841820 386398809 217199969 783008264 1000000000000000000 736435864 318300730 582499049 589551024 1000000000000000000 25162731 17243972 8030816 9736934 1000000000000000000 301002073 243457964 66080532 214513623 1000000000000000000 992022882 214041013 555873862 704570192 1000000000000000000 441876312 307532441 19362006 131151141 1000000000000000000 685445520 244663052 260393563 631600067 1000000000000000000 639264491 588940135 630974059 57127110 1000000000000000000 259059440 20247796 96166490 168716953 1000000000000000000 373786162 346107957 127706270 285504720 1000000000000000000 287548404 30833144 131608581 197109269 1000000000000000000 865664541 39151191 864130101 62572081 1000000000000000000 923107056 292279301 738918086 802398607 1000000000000000000 341474828 256316078 329711307 207426407 1000000000000000000 97139844 2840214 75934721 70193864 1000000000000000000 741024467 487127126 352467110 83246491 1000000000000000000 875668727 738111441 771432940 722543172 1000000000000000000 156585164 142310303 118703704 89174440 1000000000000000000 254574785 55592326 63557456 51579179 1000000000000000000 440631473 305975115 362613042 191621472 1000000000000000000 981484336 66134673 722067925 366128618 1000000000000000000 574259398 235911566 348318146 315179074 1000000000000000000 642538729 64374790 635930863 96343736 1000000000000000000 946706277 73178532 332531783 731836611 1000000000000000000 20792194 20192301 12154064 13844401 1000000000000000000 344887764 31433029 225970779 13213089 1000000000000000000 158051201 109001455 46455541 11086170 1000000000000000000 490027424 138178029 469296944 384713534 1000000000000000000 605655268 130994532 567351881 309993437 1000000000000000000 256989998 239800211 86701051 154995187 1000000000000000000 748238651 121223967 608243645 728837577 1000000000000000000 224723596 129404706 80170696 27394281 1000000000000000000 230566829 127487469 18682085 226799406 1000000000000000000 103158939 93068692 78359053 67762872 1000000000000000000 853646779 853308691 614977921 714966867 1000000000000000000 643877638 463620610 504749201 469463508 1000000000000000000 812311547 30191164 148230787 120852180 1000000000000000000 311168833 188885490 184433138 29537168 1000000000000000000 742319141 355191167 91843415 603621916 1000000000000000000 157578104 139985123 144772099 50865539 1000000000000000000 555649950 513996670 283470125 42016808 1000000000000000000 265404184 95746785 11358062 246962860 1000000000000000000 273286651 191355106 227141989 51233747 1000000000000000000 537077348 435376735 476704971 495619473 1000000000000000000 464554041 458220330 361873818 152133328 1000000000000000000 496671988 426266881 353631485 312360939 1000000000000000000 19710497 4619511 5395495 2796063 1000000000000000000 900461675 794780504 96087958 650046246 1000000000000000000 208789152 10943020 159480402 24102331 1000000000000000000 109593514 102280817 70688867 85147393 1000000000000000000 49086800 16553920 13673895 29874937 1000000000000000000 507084308 451177025 486347972 375937658 1000000000000000000 602276716 156504797 373449453 201901670 1000000000000000000 159707326 31451305 73574214 34654276 1000000000000000000 620336404 311293746 562928454 547606451 1000000000000000000 992856415 22328984 33515574 696002987 1000000000000000000 718393824 699964706 91847363 417736679 1000000000000000000 567366524 214885859 309378549 144550948 1000000000000000000 757321206 30992093 613162884 576969974 1000000000000000000 941166475 5322998 73286157 162395958 1000000000000000000 441431867 380267244 316317735 197874257 1000000000000000000 268887144 217227302 172250997 154714571 1000000000000000000 392040631 126519871 135748721 165755267 1000000000000000000 822235206 129687802 169687995 393452189 1000000000000000000 776039437 542124811 31620877 670018465 1000000000000000000 805949440 620373749 207741570 802042638 1000000000000000000 354097112 127553802 117029138 252400569 1000000000000000000 225423221 65472433 51608000 144792417 1000000000000000000 70840826 70358023 69511991 4312194 1000000000000000000 258219049 199272332 57868188 163971300 1000000000000000000 55136561 11381200 12266485 54389087 1000000000000000000 477598361 119909251 42911411 466060797 1000000000000000000 654744483 395066358 198646738 643827065 1000000000000000000 210104996 111650722 167435733 140347374 1000000000000000000 2568387 625430 2222788 477530 1000000000000000000 518983527 429533718 188325884 380446803 1000000000000000000 319475967 256878053 154577422 252388514 1000000000000000000 406031897 318970376 317012972 63438177 1000000000000000000 820105250 712610775 372056260 600350706 1000000000000000000 714025175 587555389 363051903 705026876 1000000000000000000 917064175 646865443 411791897 820864365 1000000000000000000 41458332 2829922 9924405 27070726 1000000000000000000 788394983 211342821 611363468 344758542 1000000000000000000 248255829 105492643 81865148 7004013 1000000000000000000 133991630 39511266 43075492 21041316 1000000000000000000 602259828 340011937 9134727 372794495 1000000000000000000 300835622 26813035 92259808 299681762 1000000000000000000 625602373 520586802 308221863 300187543 1000000000000000000 124826325 120871739 123485442 23953449 1000000000000000000 227939924 89987921 53033242 4036524 1000000000000000000 520941809 298336129 283849377 350030965 1000000000000000000 841734952 126264244 1923626 378801969 1000000000000000000 945155117 95317932 681203931 67127996 1000000000000000000 19894493 9776589 8067450 14230486 1000000000000000000 490254570 83295125 263136396 281173535 1000000000000000000 578011789 186708687 492407352 413832818 1000000000000000000 56570770 41075411 1438092 52763860 1000000000000000000 992849610 486013564 474764741 751604455 1000000000000000000 594098143 467056630 513706012 418639675 1000000000000000000 826824306 545211215 747831235 213893396 1000000000000000000 559605376 285349187 538224631 499460367 1000000000000000000 635187771 568636476 408720721 371370394 1000000000000000000 768600127 437858605 643669196 658974852 1000000000000000000 690653865 567241779 685804438 126051057 1000000000000000000 484497369 323735402 26531527 80253526 1000000000000000000 504888931 23129774 50306636 245950609 1000000000000000000 913510345 284522873 32890049 669492362 1000000000000000000 404838751 297425562 339893365 303793186 1000000000000000000 215498927 36577431 215366084 38269293 1000000000000000000 317559788 49178458 216926293 176608804 1000000000000000000 981511916 418437189 369384687 23426830 1000000000000000000 178561732 151241292 67382062 147331359 1000000000000000000 574215648 94384827 549891290 146085386 1000000000000000000 154175125 88732183 89116864 119474729 1000000000000000000 475071731 390097262 39188167 384205518 1000000000000000000 799155469 431552602 248674347 324821510 1000000000000000000 253940739 165087055 43802000 231392405 1000000000000000000 87641552 42411977 36125154 61141933 1000000000000000000 50876666 30594171 46634163 7830469 1000000000000000000 327724327 272182128 171721104 317935271 1000000000000000000 971843192 465808579 682389348 613086080 1000000000000000000 19963260 18686884 6361340 1936728 1000000000000000000 109845062 61439819 59771304 55485799 1000000000000000000 569758768 491458685 454668005 14926788 1000000000000000000 542758952 389510164 450715833 269735416 1000000000000000000 76901768 48798227 75806537 57079900 1000000000000000000 962133060 19400948 586242717 108577747 1000000000000000000 66457674 15092730 23428179 18922226 1000000000000000000 676785442 296750371 667876052 30707300 1000000000000000000 24873755 20438490 20533329 15383691 1000000000000000000 123815166 43895297 6782390 83113476 1000000000000000000 825160366 708463592 690311510 313954245 1000000000000000000 850527430 754327963 127048906 176090227 1000000000000000000 37018157 32900301 24942409 4126879 1000000000000000000 442329367 182363280 361972291 11194547 1000000000000000000 90335330 37172644 27643128 36181455 1000000000000000000 891949513 720898107 166749026 138162112 1000000000000000000 561351225 86605364 318050999 430552260 1000000000000000000 580612669 190672964 352944043 277480521 1000000000000000000 475681461 327336618 24825295 260550931 1000000000000000000 602997040 76159562 365800715 576796290 1000000000000000000 577586447 208346628 363296208 305142184 1000000000000000000 235707211 131335238 235411934 130256348 1000000000000000000 219181232 155718254 58260205 8711235 1000000000000000000 938460602 322772506 823018028 671953471 1000000000000000000 381186581 373067816 308866599 157052374 1000000000000000000 413662112 284242526 314173588 28278331 1000000000000000000 239489312 170061823 141434370 141214508 1000000000000000000 310953559 255968761 175460281 241705599 1000000000000000000 37671112 12810893 23481589 28212470 1000000000000000000 866595431 349650324 787871634 806175930 1000000000000000000 441411283 203743312 368520242 174507000 1000000000000000000 174789933 62584931 11822618 9864820 1000000000000000000 358206445 282149535 19171826 95393373 1000000000000000000 531477492 481311001 364943824 482193734 1000000000000000000 54616025 39538279 13949913 35650528 1000000000000000000 7369160 6161461 2243626 4252057 1000000000000000000 937892794 536249498 294276671 652151573 1000000000000000000 23403584 6052224 9261247 920783 1000000000000000000 475207884 347136562 449967720 329022468 1000000000000000000 967851869 436001815 927256968 152575297 1000000000000000000 964221489 154031368 133293392 720289910 1000000000000000000 138239432 41993246 17184013 109284249 1000000000000000000 650617242 105826074 486776712 531063707 1000000000000000000 639049080 48401019 151124440 548823975 1000000000000000000 88863621 52131290 42218978 72644656 1000000000000000000 687942567 534153075 89582121 418613734 1000000000000000000 190119703 94680902 133182515 26079268 1000000000000000000 380129319 260106683 288939823 61438945 1000000000000000000 482239867 115466917 447836159 157710381 1000000000000000000 797154120 688206703 786330876 629011027 1000000000000000000 381592074 113838977 170264224 82381976 1000000000000000000 4634107 460442 3550491 1660576 1000000000000000000 700421336 113162780 380009805 369254249 1000000000000000000 973122151 852066939 384837521 102491102 1000000000000000000 31370968 11499940 6421337 23920282 1000000000000000000 110508976 27603594 64026433 43652904 1000000000000000000 157186374 153953900 9071874 98629452 1000000000000000000 103013152 55098347 51440027 47339444 1000000000000000000 62547211 29594754 8955845 38893413 1000000000000000000 729493473 553025553 504219040 587984286 1000000000000000000 717819805 627162178 429405334 165113259 1000000000000000000 425452432 366156651 217642049 41711087 1000000000000000000 461526362 52405545 260822249 19133432 1000000000000000000 196589824 73231269 72248886 122812649 1000000000000000000 802296164 341168820 759352671 66304376 1000000000000000000 953981521 324560544 268366457 848379689 1000000000000000000 141022779 49821673 39347272 44698609 1000000000000000000 679302845 603479656 638005356 190538023 1000000000000000000 436061524 1045153 408858789 170351769 1000000000000000000 754331629 499768335 402458820 301969551 1000000000000000000 319290219 305661117 94151280 98985083 1000000000000000000 295826317 71927550 263003974 125170363 1000000000000000000 363407678 323081086 22335748 263068527 1000000000000000000 416664421 95292326 37218548 109138939 1000000000000000000 177226420 150095257 110417210 45569785 1000000000000000000 750081647 450002582 174971309 548373369 1000000000000000000 699857530 473016086 579874305 119711692 1000000000000000000 961366718 419105231 862293223 47989094 1000000000000000000 235156907 181350004 159860099 29058745 1000000000000000000 177705811 176576043 116030474 167558137 1000000000000000000 942110130 543412919 759546715 393264320 1000000000000000000 963386004 491228739 932297330 418325526 1000000000000000000 829101565 129409775 21623105 203746732 1000000000000000000 255756553 210056533 85575247 43886534 1000000000000000000 685191373 485029220 412800040 665687450 1000000000000000000 164694205 155554295 119395976 58399716 1000000000000000000 853979446 470261310 574822174 646907260 1000000000000000000 43648343 7986008 38423772 1108262 1000000000000000000 841561316 86755959 590259947 547729157 1000000000000000000 426339770 356312938 139714068 257393630 1000000000000000000 38233214 10266406 29816673 2413469 1000000000000000000 779461543 537947783 617354172 640931918 1000000000000000000 196014004 176097308 177608363 62337693 1000000000000000000 71154036 21156583 30131198 14550454 1000000000000000000 898637226 188807428 646903803 116765515 1000000000000000000 629183790 106738305 1535033 228836365 1000000000000000000 789569433 406171261 14639797 12671534 1000000000000000000 30685641 12992075 967478 9357650 1000000000000000000 699883777 492327189 193182189 350492948 1000000000000000000 536788903 181034642 171274178 502234123 1000000000000000000 644040058 82176161 42923079 586756899 1000000000000000000 609805429 431530828 336534578 112500736 1000000000000000000 63128080 20168634 32147263 16813911 1000000000000000000 163374248 59906298 52439440 110859096 1000000000000000000 415608762 244340569 68830589 178213142 1000000000000000000 179766882 136859392 150354929 2358934 1000000000000000000 511994954 262639965 319391008 271120041 1000000000000000000 847285755 152523773 313841739 57893679 1000000000000000000 846293757 691409050 80907729 5209792 1000000000000000000 299938439 89479039 97713843 84564911 1000000000000000000 456039536 242175533 10994820 94540215 1000000000000000000 206285756 108348976 50411636 66967904 1000000000000000000 536866238 406676511 306611270 13964016 1000000000000000000 711714998 484789203 474345284 188107596 1000000000000000000 700536933 612963745 686934131 640607410 1000000000000000000 227050241 126587623 144958755 41132992 1000000000000000000 685625400 21592669 14239589 215888542 1000000000000000000 481212751 372164897 200591300 464829600 1000000000000000000 569347739 105402079 29651089 182351263 1000000000000000000 756315998 542149257 178688547 424227409 1000000000000000000 368849695 351115421 319857305 26482313 1000000000000000000 484732334 9109183 348554301 285083297 1000000000000000000 705526179 105332472 422147768 55222879 1000000000000000000 263605084 259149734 136658215 163308001 1000000000000000000 245161170 143984952 198054678 161439796 1000000000000000000 574961539 234349514 519946569 53521030 1000000000000000000 218492335 32547046 16445078 208608695 1000000000000000000 432221329 226949633 312423693 108008757 1000000000000000000 925793528 783575341 371663634 760408172 1000000000000000000 640385338 304621686 4184130 160394211 1000000000000000000 140079204 5616151 70705071 20639189 1000000000000000000 328690239 223223012 325838344 224402647 1000000000000000000 522654982 439864970 467781649 436586688 1000000000000000000 28596690 16920539 13453023 15085289 1000000000000000000 125422492 110995202 81177800 85942833 1000000000000000000 504737624 228321646 1740352 217739099 1000000000000000000 214381826 191983270 113799801 165834683 1000000000000000000 334247131 169598420 291124281 43568716 1000000000000000000 219152295 160330251 39130120 36697031 1000000000000000000 32135311 13900670 12866343 23732975 1000000000000000000 300232873 91890073 165343954 12202559 1000000000000000000 921467956 515710495 448671648 713284632 1000000000000000000 893181016 538519794 66451919 760987622 1000000000000000000 978692315 106027581 729932815 294204581 1000000000000000000 119926274 107180429 42822710 28494748 1000000000000000000 424439279 337908452 379476934 218347724 1000000000000000000 464086597 353417502 294678952 344379902 1000000000000000000 332079858 314965254 39251419 172971533 1000000000000000000 787285361 733739647 358720805 781734459 1000000000000000000 271447600 128841645 55941618 84640312 1000000000000000000 831784323 317748439 285718613 669979538 1000000000000000000 23754906 22585337 13546287 17088240 1000000000000000000 36169189 4048654 8872247 8359178 1000000000000000000 108943401 53061546 105705829 48299246 1000000000000000000 294331923 32979615 110868601 30438447 1000000000000000000 433420440 426650490 354538088 190538057 1000000000000000000 206180275 47346763 189869765 63955866 1000000000000000000 411332338 119498216 229086887 218297372 1000000000000000000 256333713 250473552 167538416 99900409 1000000000000000000 362452038 356192249 263701359 355169170 1000000000000000000 629674952 561116983 227839455 95727092 1000000000000000000 160438919 72119982 31515105 109587111 1000000000000000000 914302047 96338925 875868379 114849929 1000000000000000000 279536462 46418698 110071268 29501362 1000000000000000000 682236433 523782863 168006181 397100249 1000000000000000000 138393286 34606920 4701526 83829157 1000000000000000000 657450631 445370269 374733651 231652351 1000000000000000000 95800306 47545085 17016378 44519560 1000000000000000000 439371169 28133104 293083516 124253947 1000000000000000000 781173112 623513578 383207226 447362531 1000000000000000000 390870764 389541456 33301213 31936370 1000000000000000000 654918920 19177796 147818681 198437974 1000000000000000000 389109203 292859486 289302370 171793145 1000000000000000000 210862362 48110153 73424744 123625933 1000000000000000000 84224187 33701244 29012415 33967981 1000000000000000000 950208720 308625669 573150674 33098632 1000000000000000000 858498550 121322378 773309931 93292594 1000000000000000000 108453682 45381947 80907428 43240151 1000000000000000000 685587144 614994027 45336853 244505571 1000000000000000000 711405475 487532731 289740685 175674289 1000000000000000000 247959238 200619155 107345159 54207125 1000000000000000000 818464035 475350491 80759261 116862521 1000000000000000000 210484048 78011388 59085918 105176753 1000000000000000000 805703210 750944579 760968975 769845880 1000000000000000000 204002209 168796348 103918157 190202357 1000000000000000000 334224224 17414343 248348704 154651582 1000000000000000000 467466161 389048891 402753673 249685085 1000000000000000000 663184812 468753823 76298468 30390389 1000000000000000000 341790830 272933872 117675150 190363517 1000000000000000000 878967406 652453321 465387163 322651495 1000000000000000000 706812212 320510415 287892856 477927425 1000000000000000000 208169178 155988061 188429088 9653574 1000000000000000000 746367529 229064816 325484128 404331576 1000000000000000000 525589233 319691895 412115105 251725338 1000000000000000000 114942082 19422278 102196605 92974309 1000000000000000000 306343339 18437768 214925523 298855611 1000000000000000000 543161175 305613489 84551058 455756143 1000000000000000000 207062274 144666702 55862109 4540447 1000000000000000000 276554049 147277589 272694923 267067786 1000000000000000000 554088050 122201853 118289983 72270048 1000000000000000000 766373709 686449612 639028052 85682983 1000000000000000000 513454376 333472281 105288035 266647462 1000000000000000000 148855562 69122561 61510813 29955020 1000000000000000000 273542276 124677210 206010748 3924676 1000000000000000000 236123775 218173607 233370531 41488214 1000000000000000000 28469659 7427657 25898661 18907551 1000000000000000000 491730820 338001896 310621907 177391119 1000000000000000000 232105698 174540998 95513902 204835271 1000000000000000000 984059286 522073252 441668513 948770934 1000000000000000000 870086197 396167819 71845217 796094968 1000000000000000000 770506275 249989699 369254623 197305782 1000000000000000000 163564085 104096888 71143167 22662189 1000000000000000000 792628354 6223936 17147421 93393654 1000000000000000000 239603482 198258770 71576405 83608975 1000000000000000000 751641867 413548468 336087975 743756974 1000000000000000000 85851170 17736766 74672939 59843989 1000000000000000000 554212948 297013656 397603197 549093697 1000000000000000000 685095311 278225116 316740337 188517761 1000000000000000000 361852121 42283710 116581747 83394131 1000000000000000000 914596019 93692598 839398746 243952143 1000000000000000000 90282574 11733875 13954849 70638681 1000000000000000000 799894614 123729856 229099333 737526422 1000000000000000000 905466058 811767764 435521646 111925738 1000000000000000000 227095929 56743407 202970819 78957189 1000000000000000000 523898908 157755488 99702778 52465856 1000000000000000000 607028207 295023250 37479314 542119443 1000000000000000000 528660224 498851520 280142288 314480130 1000000000000000000 530399533 375497063 124459990 87138711 1000000000000000000 60211426 14187318 54128011 35157827 1000000000000000000 462780689 129735595 326251043 47569931 1000000000000000000 664567990 554189986 67977020 132800046 1000000000000000000 416916367 320222561 340897909 241306606 1000000000000000000 964812959 27198190 824259287 849878807 1000000000000000000 932680860 33597400 329641832 460578492 1000000000000000000 160378877 19759069 119367573 153612008 1000000000000000000 924921968 8417156 554423098 910376270 1000000000000000000 109785974 2078095 33633808 90765205 1000000000000000000 106767411 53412216 42052781 79226375 1000000000000000000 309935664 183844857 271853173 28631578 1000000000000000000 383951413 157664203 258753736 72196190 1000000000000000000 198170644 115928888 7335772 189991564 1000000000000000000 813376632 448402754 677292484 576169988 1000000000000000000 83288267 11679121 52773386 71717710 1000000000000000000 407334021 320671338 143863259 320779061 1000000000000000000 765515719 426708331 157374820 302992037 1000000000000000000 707550312 399509100 664699068 240688139 1000000000000000000 439912600 34004620 121221512 63304573 1000000000000000000 687089927 261086767 526117339 317108376 1000000000000000000 541310393 42664502 323839952 497110300 1000000000000000000 246066900 58905817 131012586 118303399 1000000000000000000 703618638 291920684 76834258 193160654 1000000000000000000 72937412 11302063 45468265 50523205 1000000000000000000 282334919 57764949 124445385 140804857 1000000000000000000 681713816 569118796 374491358 319726909 1000000000000000000 125390161 23734350 107102320 3389366 1000000000000000000 77366925 5193289 23086685 38164942 1000000000000000000 788792400 123749846 423119192 463507636 1000000000000000000 358495806 349001130 20120241 102649833 1000000000000000000 907782344 582700737 333900922 787884837 1000000000000000000 704956127 584338911 627168363 593009553 1000000000000000000 933444927 24330825 761784761 275030431 1000000000000000000 219330385 203933892 17066340 198995742 1000000000000000000 281983492 104664574 52925801 135151484 1000000000000000000 791848856 545206236 673316935 668113624 1000000000000000000 491920995 450760137 84165448 278077947 1000000000000000000 237316808 170614794 46666057 87471487 1000000000000000000 827278475 279910088 378949648 278185757 1000000000000000000 521674128 139653270 467274660 253483912 1000000000000000000 562585136 354425199 16185769 210351206 1000000000000000000 399904407 196245956 304267810 245290959 1000000000000000000 230302885 223692504 57711837 7900600 1000000000000000000 935594957 655409786 287984690 802418293 1000000000000000000 303612931 205151023 68920504 1032850 1000000000000000000 792256290 469461084 741101502 577444948 1000000000000000000 380992863 290392272 128898880 368226237 1000000000000000000 589274337 91846511 367166706 176129382 1000000000000000000 429300690 299484087 256210797 170544840 1000000000000000000 463708605 435588647 301919961 341983810 1000000000000000000 635229827 189597789 61304805 221240466 1000000000000000000 866328134 431670188 315478865 375094694 1000000000000000000 15085804 8457191 3240230 4685515 1000000000000000000 397672530 207315085 137952323 169087590 1000000000000000000 638427701 588965632 620463153 445188067 1000000000000000000 298321537 5041254 203210235 249207019 1000000000000000000 195591314 147434255 83793239 176823938 1000000000000000000 657073112 95421227 78588228 534467168 1000000000000000000 636057834 378070400 542546136 485506279 1000000000000000000 140316410 16500271 94550068 40050351 1000000000000000000 696544657 517344531 273519984 32886848 1000000000000000000 453361626 247842360 165281411 414155287 1000000000000000000 759429195 159184322 720838951 259022338 1000000000000000000 529520046 5289152 416975089 41354499 1000000000000000000 618391685 334185696 400266344 467351813 1000000000000000000 612131604 295366299 39451368 498132075 1000000000000000000 852980615 799711203 449653190 436857754 1000000000000000000 682665377 99645381 402087196 503721967 1000000000000000000 109426562 58718403 57336226 99489168 1000000000000000000 583243842 527538141 212055152 499057842 1000000000000000000 723843958 550495944 720432420 108104689 1000000000000000000 695818723 626860504 40873708 413089765 1000000000000000000 352842697 312854557 132450501 350213561 1000000000000000000 439191694 361916124 32706226 113182155 1000000000000000000 242330731 134007337 229104699 106565104 1000000000000000000 201347771 113045865 36262443 163231499 1000000000000000000 692597860 223257885 46275287 218631155 1000000000000000000 224729392 77524486 21270509 164910063 1000000000000000000 182163067 165508162 147357132 135542705 1000000000000000000 440020521 111414406 371664389 172121714 1000000000000000000 665904308 575562950 287761453 582820941 1000000000000000000 564432446 482327603 274012343 171537571 1000000000000000000 599036742 352012396 403704139 494626246 1000000000000000000 912921284 313492187 424299400 322904371 1000000000000000000 621548728 192209564 266084446 409102142 1000000000000000000 369453398 226042948 342385360 76261622 1000000000000000000 606179604 221268867 319868773 361945428 1000000000000000000 301331321 189681523 66110753 146416498 1000000000000000000 113592976 90988131 107127588 104831423 1000000000000000000 327373139 262857449 208482271 54132987 1000000000000000000 173909945 113156424 117877652 45289237 1000000000000000000 317035545 272431874 260535403 61474023 1000000000000000000 234917682 74699702 51994129 40782468 1000000000000000000 731640537 697743774 132136606 374455805 1000000000000000000 953075127 174127232 125805374 303825145 1000000000000000000 575953569 265413534 139364788 314351917 1000000000000000000 274659621 206613352 29092384 10159538 1000000000000000000 567242106 372939586 185997445 232590877 1000000000000000000 446756320 340278286 48998336 443888815 1000000000000000000 253328480 55214312 33598707 209758603 1000000000000000000 249242849 45039154 120418531 16937485 1000000000000000000 259382804 168218072 158965367 133142664 1000000000000000000 260651851 149870598 252474333 119365928 1000000000000000000 46599869 12025181 42335454 33248320 1000000000000000000 52270902 8296918 11545419 34077667 1000000000000000000 821315833 664645642 489876647 618265732 1000000000000000000 284009877 207420243 114858455 135743526 1000000000000000000 912817862 313521481 138283806 679337908 1000000000000000000 34177135 14393335 17850304 12381327 1000000000000000000 471937611 316971545 114640114 469361636 1000000000000000000 964318459 418218693 398718987 281345382 1000000000000000000 159186388 146413413 32810945 105062666 1000000000000000000 197556112 147145449 142828955 111256609 1000000000000000000 297040710 112134225 84130332 273459535 1000000000000000000 673088005 589765463 555606696 245244459 1000000000000000000 25078882 23904431 4945034 8407284 1000000000000000000 9549704 861057 8281575 7137777 1000000000000000000 886169327 831272561 244153464 456833870 1000000000000000000 852799698 145262298 145520301 825250880 1000000000000000000 227921960 204430887 182908326 102094348 1000000000000000000 98762700 54179970 18566687 75963881 1000000000000000000 426602164 227369114 413954107 72729907 1000000000000000000 430568154 242507560 282352487 302188601 1000000000000000000 370486694 99565886 203046898 273801498 1000000000000000000 52564359 21243239 2331265 9365285 1000000000000000000 373912504 181832168 279816373 222013730 1000000000000000000 540678893 61749647 393344316 65431194 1000000000000000000 85031640 64004628 21591052 48026229 1000000000000000000 444213766 16118486 308402405 153418217 1000000000000000000 892881775 675468309 426509225 753369664 1000000000000000000 552492302 261989200 331975279 441471387 1000000000000000000 919508011 146742906 213152812 914671016 1000000000000000000 610829468 262199871 210911775 294572050 1000000000000000000 254054854 239561369 166374030 136869155 1000000000000000000 919009165 484846389 795679158 51323082 1000000000000000000 265780668 251816589 58075820 106068869 1000000000000000000 475364341 227816809 93678085 221148479 1000000000000000000 641977793 275594173 170711095 194169307 1000000000000000000 610691212 217704133 595088890 109274805 1000000000000000000 844092645 393317401 68641187 634292793 1000000000000000000 135570849 125613242 87164022 70696351 1000000000000000000 916307926 664944470 305459123 784562982 1000000000000000000 947135749 235244256 572968798 718397269 1000000000000000000 645560286 411922740 233913242 172368433 1000000000000000000 250629221 116409241 63276650 153684911 1000000000000000000 841950135 397984309 806769633 559722297 1000000000000000000 137598133 20222089 118919843 136641034 1000000000000000000 212390459 207788668 184324200 55420821 1000000000000000000 209844789 136244258 110105209 4527521 1000000000000000000 185422892 28977060 33065718 81730241 1000000000000000000 610107592 32628692 563708181 342841429 1000000000000000000 319008655 96979319 310748802 307030706 1000000000000000000 135323821 20274701 56388833 2705717 1000000000000000000 866781053 259979970 686781805 418531138 1000000000000000000 859588974 187347291 120276925 60509211 1000000000000000000 993454536 210545043 566480431 347206124 1000000000000000000 749748393 271045254 240736916 282325799 1000000000000000000 907271967 495308994 472695456 120183935 1000000000000000000 328994124 3732947 71200073 172048714 1000000000000000000 718621543 108096141 99214601 5760222 1000000000000000000 221048723 195612949 60896759 93292507 1000000000000000000 205532132 147604620 113642632 54939516 1000000000000000000 654845488 43745418 527905670 390714031 1000000000000000000 389778726 188917963 149460375 169740100 1000000000000000000 282239933 114798140 123272770 8045319 1000000000000000000 122259265 36111695 22214453 112343662 1000000000000000000 467772848 151025942 357328503 130006487 1000000000000000000 114069724 55993591 58023242 67990855 1000000000000000000 273581912 79139174 17948277 217552884 1000000000000000000 374845471 304644653 229112436 54993719 1000000000000000000 582513755 415774692 32189387 497835966 1000000000000000000 596621502 364062588 568340292 357334673 1000000000000000000 729595410 634375972 240432956 643311541 1000000000000000000 94274838 32689866 92323227 68267780 1000000000000000000 979052689 536318469 455000866 498269660 1000000000000000000 266908893 194245348 223591343 265604066 1000000000000000000 416968752 150898082 23753075 84534454 1000000000000000000 586968755 455518547 311573110 362122974 1000000000000000000 44749056 28016846 6443692 11698535 1000000000000000000 946283916 585605724 638193522 607597227 1000000000000000000 297228646 45326592 199304884 69333495 1000000000000000000 611841374 454040631 84897988 502734102 1000000000000000000 132767396 120991225 45282819 92170719 1000000000000000000 702141886 6148284 415047995 321204350 1000000000000000000 148626339 20789841 65031524 63172379 1000000000000000000 926961864 735871569 630986026 621210501 1000000000000000000 104153277 27878237 64349441 9284508 1000000000000000000 306956063 180812048 198207269 199356387 1000000000000000000 702722469 165711427 370235593 654631966 1000000000000000000 80033003 19705325 54862019 27949020 1000000000000000000 680374005 253901014 667795462 504404934 1000000000000000000 282339732 150699003 13797239 263753315 1000000000000000000 288138910 221288701 49165731 64837180 1000000000000000000 220656265 66315417 80404559 93889567 1000000000000000000 634884053 176866413 112092099 164425014 1000000000000000000 979913712 209476107 697169178 715476125 1000000000000000000 449401715 383190267 264188598 409970732 1000000000000000000 136019749 79211983 5210544 53069899 1000000000000000000 318840816 85260369 314332731 172390451 1000000000000000000 854760023 16053970 338578326 16886369 1000000000000000000 63821669 47124656 63237854 2296035 1000000000000000000 836305465 224964615 753900639 582032960 1000000000000000000 369437360 92181379 192592735 213460206 1000000000000000000 109300519 10267741 63742096 36464231 1000000000000000000 411594454 204590018 302481339 390076045 1000000000000000000 112295138 6707676 32390783 77224580 1000000000000000000 885107724 413479175 215156031 838762785 1000000000000000000 523812310 396370285 211463289 66023015 1000000000000000000 460645861 227736235 104080373 105293430 1000000000000000000 680280254 350914932 252370368 360232907 1000000000000000000 361609068 22332192 162261031 240306307 1000000000000000000 726386630 677475860 669582914 169195044 1000000000000000000 355286302 262230217 37599780 37420506 1000000000000000000 374138480 317943950 176342841 5548803 1000000000000000000 932731283 77277936 129759657 541524104 1000000000000000000 525931649 66342472 48173780 516573853 1000000000000000000 985820790 981206754 223336282 643740443 1000000000000000000 530571029 142085625 525751943 366536012 1000000000000000000 551752665 183723041 92439841 212843591 1000000000000000000 975338672 394906556 833887840 544135965 1000000000000000000 184775727 105273435 39235362 165157202 1000000000000000000 618156369 53502112 301872909 441966311 1000000000000000000 356475567 45301112 3965244 5183314 1000000000000000000 94419606 46710888 89530042 38054094 1000000000000000000 572144261 58985644 359496248 46100838 1000000000000000000 88863748 80273445 59842401 85909316 1000000000000000000 585970847 502777787 493036603 455531075 1000000000000000000 454886675 151510595 362580580 375144029 1000000000000000000 372542756 39144665 83381402 56528329 1000000000000000000 387807815 281602917 178787879 375118296 1000000000000000000 480004971 376393540 453149946 315580654 1000000000000000000 230155454 71626647 68187477 11554391 1000000000000000000 258748364 232024209 231186847 142654403 1000000000000000000 359382895 30379524 15353549 242959132 1000000000000000000 675601537 233750491 564300320 625372410 1000000000000000000 480305296 423009755 77745965 96873547 1000000000000000000 190721178 162938576 123388689 186024093 1000000000000000000 803143627 493213072 486500445 502793846 1000000000000000000 546789858 355813683 321446158 464866994 1000000000000000000 169009523 68955305 96969103 95059947 1000000000000000000 396105598 165629190 166977541 372848279 1000000000000000000 338788017 299896228 191743649 83255764 1000000000000000000 827213877 648277006 192971809 557052983 1000000000000000000 941853858 194550615 661235402 222529050 1000000000000000000 138526230 137263108 49149901 86097711 1000000000000000000 59446430 8693001 12916572 12935427 1000000000000000000 954861331 368042642 781530908 741021877 1000000000000000000 75145546 45279354 66024673 9366209 1000000000000000000 296512787 51158835 129276409 269690372 1000000000000000000 857215433 332257097 805358756 531621049 1000000000000000000 345864214 324724133 245904038 307370644 1000000000000000000 477673983 145809578 235189483 417964299 1000000000000000000 438432243 318441700 186101427 16106637 1000000000000000000 367101111 184700887 149310948 325661895 1000000000000000000 680504768 131079484 505233878 69154188 1000000000000000000 50482624 42030825 48505714 14744920 1000000000000000000 690425876 41551571 164628693 29219089 1000000000000000000 198417314 29457930 54358874 31342678 1000000000000000000 882781869 4633244 316828545 561940714 1000000000000000000 481836953 380565982 119743510 370238600 1000000000000000000 32402444 27505992 22835381 28415674 1000000000000000000 161955917 3456448 75814301 67740714 1000000000000000000 389526108 115708282 133976530 175900136 1000000000000000000 996931032 810795957 601896525 954678805 1000000000000000000 338187256 183305267 187131088 66755595 1000000000000000000 264330539 11660754 147515129 10590777 1000000000000000000 93114488 19098266 5705591 67089311 1000000000000000000 813340594 242778468 238301514 683672248 1000000000000000000 942903367 556363202 460487982 752207142 1000000000000000000 743537228 527704594 269870317 177166349 1000000000000000000 160055709 25821507 75950541 90177415 1000000000000000000 912431100 631559821 851381670 368459196 1000000000000000000 857034697 353183488 452982146 618069550 1000000000000000000 184280040 77430719 180348313 131987323 1000000000000000000 939189850 125562838 586127848 595991934 1000000000000000000 697448918 449834011 629973814 627627895 1000000000000000000 529592736 64501080 150376949 315225180 1000000000000000000 556870124 64140 232836019 442545824 1000000000000000000 461831418 278699920 100880228 225224283 1000000000000000000 443038607 151915036 292835990 50778194 1000000000000000000 278993322 255616053 268142482 142354598 1000000000000000000 924122294 857536897 400215737 335024824 1000000000000000000 120506034 453144 80038516 69520846 1000000000000000000 486822357 247820265 158937201 292024958 1000000000000000000 247761511 153744120 20558521 52897800 1000000000000000000 30627496 13051289 28698418 20279310 1000000000000000000 470743383 175186312 383510068 271198388 1000000000000000000 70553940 51066818 58447407 23922809 1000000000000000000 476209515 227329422 453540716 285492166 1000000000000000000 685317594 623360650 24160183 145193050 1000000000000000000 227385894 149154266 200804885 218644890 1000000000000000000 430874192 197390881 221289606 165427747 1000000000000000000 253824434 198042264 183939999 107651871 1000000000000000000 678342406 648951276 650455992 569662028 1000000000000000000 63934888 14435184 5779582 24642648 1000000000000000000 58855132 36346068 15366187 30112579 1000000000000000000 872697598 237718799 655421497 410797136 1000000000000000000 231743991 121162467 20165655 105341047 1000000000000000000 162576832 19436431 148034906 143591030 1000000000000000000 154571240 4099520 35035907 85466184 1000000000000000000 387269907 255546622 273497703 179003639 1000000000000000000 785247855 483160011 699228946 235180039 1000000000000000000 994936569 920553770 71704240 789517836 1000000000000000000 145558030 125155154 10283871 140857025 1000000000000000000 317428390 5426017 142891313 189352558 1000000000000000000 557722360 3394346 430820297 539767921 1000000000000000000 635213216 281335230 409632465 449054142 1000000000000000000 282430310 82182551 153994055 86535380 1000000000000000000 257675408 23049853 105668774 33266983 1000000000000000000 991014026 461681691 486266218 594198328 1000000000000000000 370292133 259140732 72436317 77054501 1000000000000000000 780875623 291269361 261583419 320089079 1000000000000000000 777712752 68918897 428044501 223153469 1000000000000000000 451714926 198631594 116641211 325283523 1000000000000000000 91761885 76639549 23404579 65226576 1000000000000000000 646664085 423948147 461409558 576023156 1000000000000000000 450165188 143417154 102158117 294302612 1000000000000000000 86699781 58216414 44032801 71809503 1000000000000000000 120398867 19840965 59117 105119525 1000000000000000000 320129221 299799847 216648069 114883342 1000000000000000000 891308356 327791512 149636637 410528230 1000000000000000000 706398937 623137459 587946406 45086698 1000000000000000000 386345396 74680434 268694432 88742419 1000000000000000000 242356129 240324322 74606077 201618221 1000000000000000000 443492234 9692315 275885654 417157968 1000000000000000000 975591419 684240066 37062448 114145228 1000000000000000000 180427060 136057107 22725858 66132792 1000000000000000000 859230752 225528286 712683846 345909140 1000000000000000000 554573514 442856624 504203504 227447206 1000000000000000000 265611413 174905529 221862540 35945491 1000000000000000000 603277815 188743997 33297709 25043820 1000000000000000000 833034403 683260688 767905839 402178283 1000000000000000000 422315681 277694468 367105754 244722517 1000000000000000000 35776294 13764595 16393737 6256674 1000000000000000000 714079202 358374853 108311568 419369275 1000000000000000000 336408341 325411117 209272350 31410867 1000000000000000000 538606042 152099354 491741435 500223367 1000000000000000000 831850471 23092366 419090112 454437035 1000000000000000000 767846574 522949812 142814854 613593266 1000000000000000000 309223309 118885453 16304492 209135144 1000000000000000000 963280216 707690134 429622594 27746774 1000000000000000000 83422575 60625660 71582393 19568602 1000000000000000000 6230475 6156733 3801379 216994 1000000000000000000 946687462 187842518 943717558 167567247 1000000000000000000 227004430 108907601 222652530 13896643 1000000000000000000 689692918 592878792 142735054 61281310 1000000000000000000 177126632 114770092 49084242 109010178 1000000000000000000 499900905 184505356 448554881 286966584 1000000000000000000 852279869 719603839 353451485 140721426 1000000000000000000 197551610 115271643 168585214 108980407 1000000000000000000 523703866 485238259 452894154 178008561 1000000000000000000 416797345 251906053 369887084 403225856 1000000000000000000 384794048 173066061 128981 363774820 1000000000000000000 619198608 311029559 443820216 128175748 1000000000000000000 633484831 319024143 303749733 105237639 1000000000000000000 969676202 129192643 935798762 688471438 1000000000000000000 262259025 47056323 32843959 225541540 1000000000000000000 737153058 283619815 373119546 621988627 1000000000000000000 330633153 311998707 261581790 162025845 1000000000000000000 734684559 118636966 542180365 203965795 1000000000000000000 227366861 138600494 74775150 71853337 1000000000000000000 177279429 37289221 175232338 55277220 1000000000000000000 889753154 256132839 106220466 71647116 1000000000000000000 842884140 45232158 742956753 121580073 1000000000000000000 928408261 333558623 532416274 461270445 1000000000000000000 582711024 109198521 502618212 423752684 1000000000000000000 602942035 553584239 180810194 3320967 1000000000000000000 495878890 147587912 35513716 15314797 1000000000000000000 375965210 172570265 145817259 26044197 1000000000000000000 586791164 518661662 32390075 562293198 1000000000000000000 293537477 43524451 73637498 219891998 1000000000000000000 594074503 286445124 563414325 582607740 1000000000000000000 506573574 119500995 327207271 163601175 1000000000000000000 519745964 388753902 60318416 291704934 1000000000000000000 525231990 403361614 180747541 413217794 1000000000000000000 958236099 168251314 167484479 453271196 1000000000000000000 351870032 76393893 113493751 216888556 1000000000000000000 217836807 193353720 191773477 143667903 1000000000000000000 544243244 37015059 156692627 177531270 1000000000000000000 560254479 39890375 48199633 174954660 1000000000000000000 530893758 310381365 345844546 520530714 1000000000000000000 113914049 79917056 397472 2577280 1000000000000000000 642277327 579818205 459433689 518727363 1000000000000000000 574861377 243924812 490680216 271016103 1000000000000000000 866243202 599539608 548803213 725487521 1000000000000000000 192826863 59337212 128889563 143448383 1000000000000000000 187776888 101632138 79396251 113359539 1000000000000000000 97804354 62879372 16486624 65186875 1000000000000000000 681424028 59943109 168252327 242993098 1000000000000000000 871041245 139322279 825386113 686816402 1000000000000000000 905520375 858680970 435015476 495615510 1000000000000000000 133688332 51360674 53464858 14606512 1000000000000000000 368151109 153132598 180240111 40705481 1000000000000000000 535126121 496700185 486650555 51242211 1000000000000000000 909670747 522279656 624299214 40745094 1000000000000000000 88031694 44694488 57969554 40818855 1000000000000000000 453494481 204453455 413353173 16951661 1000000000000000000 257582646 142980167 255242824 248579411 1000000000000000000 634566265 331737535 372991226 346380314 1000000000000000000 164368599 91640290 138526794 157423378 1000000000000000000 423490596 238445250 278466509 207781853 1000000000000000000 729407983 63671574 87143221 485081305 1000000000000000000 185341193 163340978 78535088 12764284 1000000000000000000 354545110 118607952 323694703 257627162 1000000000000000000 502742566 196493085 325611681 490352182 1000000000000000000 461526892 437468711 341120867 231399902 1000000000000000000 967055136 258234224 336523779 203416334 1000000000000000000 600573325 496942604 253298765 97476702 1000000000000000000 191553057 596272 124695810 41631243 1000000000000000000 946008071 265603731 238207868 501545017 1000000000000000000 44541680 25464686 11967111 4809551 1000000000000000000 535235218 155857796 138296758 238026457 1000000000000000000 80766983 48874083 50706209 66119460 1000000000000000000 913706508 724662193 514880118 261692320 1000000000000000000 542074740 333572084 512663103 395958016 1000000000000000000 681784404 264612155 570830780 487526581 1000000000000000000 935933592 630072482 282947409 269110277 1000000000000000000 438294481 44368772 48244561 96309562 1000000000000000000 9899800 7977658 5201096 5137956 1000000000000000000 465139166 121495126 427553293 218386332 1000000000000000000 939832888 822789025 76537301 703192119 1000000000000000000 188112923 148851254 61372773 117611225 1000000000000000000 776851822 370949420 623887065 231869189 1000000000000000000 591283461 157507418 363524664 42779813 1000000000000000000 701029435 555418438 575188012 291632623 1000000000000000000 244298895 145791510 201865022 100190559 1000000000000000000 342895212 99257163 64583798 193542481 1000000000000000000 395522246 278196231 48562333 289886921 1000000000000000000 785410911 130115310 246226647 680915994 1000000000000000000 835059211 395150872 772965223 18496329 1000000000000000000 151035065 81025344 139907610 64576492 1000000000000000000 972190192 432887473 551294903 133621363 1000000000000000000 857458342 38774638 179283555 189147182 1000000000000000000 198333932 40504839 180097652 115046386 1000000000000000000 303378501 152705620 123487232 86711301 1000000000000000000 287658830 102612575 255704979 158924148 1000000000000000000 532865024 210314186 183755136 26162667 1000000000000000000 487378829 257186945 5284004 147677848 1000000000000000000 435500482 243291625 40540698 97299412 1000000000000000000 222598060 156737153 9164078 203807478 1000000000000000000 628949686 45884228 489156203 140649597 1000000000000000000 879705578 592005724 183162639 800752313 1000000000000000000 857747853 258015340 408812430 755799563 1000000000000000000 947077749 684502853 440796560 458787697 1000000000000000000 974370002 569981659 926530355 345683927 1000000000000000000 149837723 1792712 64252904 27930893 1000000000000000000 905174885 264001936 527075645 152836863 1000000000000000000 493137504 351553236 283484350 343422321 1000000000000000000 783122809 458621665 649898476 167636828 1000000000000000000 875659214 659522226 400549850 487002158 1000000000000000000 378795187 149001046 25557796 31742947 1000000000000000000 239934375 181179188 75039218 8558591 1000000000000000000 614598154 477950778 15843026 106886018 1000000000000000000 608690752 164104032 189263619 493949157 1000000000000000000 537579414 95310069 251738665 277188665 1000000000000000000 66947877 6372530 33073696 28990857 1000000000000000000 566002514 358044316 47338336 410962429 1000000000000000000 82074716 75171627 74561698 74084638 1000000000000000000 679111993 302838952 428130762 222988947 1000000000000000000 124795650 72679996 91409201 72691896 1000000000000000000 965260618 275779272 473702397 898384021 1000000000000000000 226192177 200386109 72698664 24350822 1000000000000000000 357636212 41957647 146170397 239273586 1000000000000000000 217830055 183236063 70510435 201351181 1000000000000000000 653255478 220056171 262528613 208328356 1000000000000000000 573232199 322659609 480121073 174719022 1000000000000000000 385706299 225161395 342291172 38655506 1000000000000000000 727899568 649234819 607271023 419601179 1000000000000000000 48137559 18009646 18063867 1325306 1000000000000000000 554333767 351947823 35481435 492163839 1000000000000000000 684097941 662551563 526501665 510737457 1000000000000000000 770826579 202774337 756120589 356129987 1000000000000000000 54443873 44461068 46824322 23730370 1000000000000000000 299934775 183687465 122998536 165377219 1000000000000000000 413735781 327624892 295643951 393900517 1000000000000000000 861347110 166226308 625889777 295312359 1000000000000000000 184521084 180984262 50445144 55550211 1000000000000000000 546109065 66373330 338611503 441790324 1000000000000000000 107927689 101739610 60595651 492236 1000000000000000000 908240919 778033957 577054707 38971397 1000000000000000000 545786661 268052323 252173472 274750427 1000000000000000000 87010141 49839336 12994199 85089781 1000000000000000000 453781808 443555991 1741255 2032156 1000000000000000000 238839660 193646819 148996341 112379919 1000000000000000000 292361738 289562425 171264612 67388461 1000000000000000000 149186370 6628903 122893599 103303833 1000000000000000000 183303104 176616483 112562369 60423909 1000000000000000000 22743892 238008 2108266 5811706 1000000000000000000 587050968 453536059 320506699 197860059 1000000000000000000 619712255 528268575 120908376 550970609 1000000000000000000 881662463 501840838 830907126 876273490 1000000000000000000 152607662 148878472 86835124 34671036 1000000000000000000 942118868 765637628 857613793 583927185 1000000000000000000 224646712 97168625 175345612 12010554 1000000000000000000 943797558 721664155 901005178 428561423 1000000000000000000 428359965 307650865 39355322 92189385 1000000000000000000 36642924 35765138 1529603 2776247 1000000000000000000 699978993 284361404 254116112 129150062 1000000000000000000 196118591 36113478 118063138 150394666 1000000000000000000 14377213 12826289 8805886 4946467 1000000000000000000 231203961 19991651 102709503 38481402 1000000000000000000 856625272 837302038 287006853 430488596 1000000000000000000 55583042 51065772 50400390 34348841 1000000000000000000 599326581 404514279 294100526 463165701 1000000000000000000 153335263 38127678 51707454 62718297 1000000000000000000 716060707 673467268 438244890 127977014 1000000000000000000 982462175 626975318 677475652 785606353 1000000000000000000 849988502 710825074 413524866 230506120 1000000000000000000 460027473 241195074 90177733 428048284 1000000000000000000 992967181 444728885 643379926 475781409 1000000000000000000 889036673 761378437 831101283 855366887 1000000000000000000 813868343 181422459 421073175 269172702 1000000000000000000 835782672 100994393 437384445 559801237 1000000000000000000 794615516 124813409 386171745 501598277 1000000000000000000 671244198 583128813 653728690 304460766 1000000000000000000 313392552 54912947 15546045 78333458 1000000000000000000 833261351 585964347 745523955 746160998 1000000000000000000 74148727 4472323 37609405 43545866 1000000000000000000 882074678 216875350 467940446 228175229 1000000000000000000 966105826 128492467 743609668 399311749 1000000000000000000 123398383 111837873 91106291 53234860 1000000000000000000 626567917 317883301 347415663 234452975 1000000000000000000 452315015 320374964 98335309 392290037 1000000000000000000 237650370 215465699 181999865 133397788 1000000000000000000 74623127 61018675 30389133 8883203 1000000000000000000 133586542 5426975 51665372 37721235 1000000000000000000 32760037 906909 7475738 27438435 1000000000000000000 263665121 241552880 244542781 122236287 1000000000000000000 520705741 274405924 496277090 213132742 1000000000000000000 885611510 103688102 875250636 866953104 1000000000000000000 298197644 5699100 118628848 108780248 1000000000000000000 145533335 139993426 58174373 20434078 1000000000000000000 959204960 197245426 905527305 504343683 1000000000000000000 27429169 17154013 3683274 24438693 1000000000000000000 288650964 176208158 162695582 69596271 1000000000000000000 751307725 596433064 263332698 262877201 1000000000000000000 395754460 187965591 121267770 97893592 1000000000000000000 912955006 322262188 155304896 166839963 1000000000000000000 5884001 3137794 5327673 3913809 1000000000000000000 180325881 117405638 105174152 56457777 1000000000000000000 169389693 108947886 146883664 87517133 1000000000000000000 426456516 51797956 291211427 296144719 1000000000000000000 857098348 794524322 431850310 269060033 1000000000000000000 416164472 312321343 373003138 173975292 1000000000000000000 955669530 49630150 466511007 665700011 1000000000000000000 565955481 2379523 139711086 28625964 1000000000000000000 389141639 307440263 379020046 232141063 1000000000000000000 709756835 203848450 589133142 600955322 1000000000000000000 195308672 58868982 142204583 159119842 1000000000000000000 642494395 522038067 244320490 291311593 1000000000000000000 421413404 251698964 277776124 16425370 1000000000000000000 147445326 551223 128195884 71409593 1000000000000000000 306461547 276931892 125321182 43508546 1000000000000000000 394586002 17125029 175853800 246040022 1000000000000000000 739609120 532518503 544911803 531932668 1000000000000000000 223994887 193764809 208846036 147909824 1000000000000000000 178120047 156918639 61359705 56156801 1000000000000000000 60641254 39932563 30827298 25797173 1000000000000000000 431099980 241051530 157313163 138560558 1000000000000000000 852609055 142635695 6979295 838026252 1000000000000000000 790755032 501072715 394596859 681081548 1000000000000000000 238740203 163324334 221525226 18412128 1000000000000000000 515706394 35892314 158722231 211852122 1000000000000000000 89187257 21304304 71197031 37349522 1000000000000000000 840728474 35902385 695024318 699437244 1000000000000000000 646402915 346933325 208933583 287753931 1000000000000000000 402858447 156769677 89525009 2079909 1000000000000000000 193565200 181521645 38423607 28502318 1000000000000000000 150059112 42597791 27576637 75653329 1000000000000000000 669405338 551879254 271740180 662861394 1000000000000000000 881139015 752382088 167728959 780348939 1000000000000000000 667260974 612016567 177179798 45407318 1000000000000000000 517620981 423488244 340962364 459517485 1000000000000000000 719070584 373658414 666883523 258676972 1000000000000000000 176308772 38516399 10517625 171813804 1000000000000000000 475088559 321402319 238784406 472166272 1000000000000000000 898707086 559190154 74611363 256241333 1000000000000000000 874245789 367611633 54393712 421236266 1000000000000000000 965156008 635381367 204921478 927958577 1000000000000000000 257721137 14688170 118415018 124580342 1000000000000000000 604061795 581937091 337759566 36058008 1000000000000000000 914261621 896060275 784339682 484687679 1000000000000000000 503273325 426866262 489541739 157288830 1000000000000000000 157513341 100427627 135973143 116430011 1000000000000000000 612160939 419568826 506039273 483993304 1000000000000000000 552480132 216323729 325828036 544484707 1000000000000000000 155674775 104019919 145359184 72170672 1000000000000000000 330109274 190359406 298995457 819059 1000000000000000000 850633642 18834425 773620293 144061459 1000000000000000000 761610585 139362904 532497871 456777520 1000000000000000000 687550853 255335678 13365277 23094396 1000000000000000000 908131729 703050962 608729168 128947406 1000000000000000000 680754446 280785662 512187333 619929568 1000000000000000000 424908479 357497319 210289523 186315656 1000000000000000000 864637324 716869316 844534398 805126539 1000000000000000000 642162445 307867195 348631879 138383287 1000000000000000000 432629046 225177380 425005756 337919045 1000000000000000000 962342429 139493495 707083284 957924895 1000000000000000000 338885385 7400925 28349487 53761831 1000000000000000000 167723398 67250001 133021067 34685916 1000000000000000000 176996540 123472051 163936356 319214 1000000000000000000 159051419 89056140 101052221 11644465 1000000000000000000 218562839 124789492 196735367 99616649 1000000000000000000 291663403 256567144 74904631 168721018 1000000000000000000 878164840 443840611 733725038 494021055 1000000000000000000 296440085 195914783 294281479 60596645 1000000000000000000 511889194 368675261 404723286 272203293 1000000000000000000 466659509 440098192 401919672 304268674 1000000000000000000 956415067 789936777 285571169 180478336 1000000000000000000 447979476 53980322 381059381 102056941 1000000000000000000 504624101 169719326 230791468 253316537 1000000000000000000 730437328 137994290 340703169 406181040 1000000000000000000 697246210 280633116 102672048 329159094 1000000000000000000 570741121 244214821 191851941 148017690 1000000000000000000 490273574 426082807 36211794 164496072 1000000000000000000 89645208 17119913 87668099 46214325 1000000000000000000 407955707 378126587 48810496 6540385 1000000000000000000 191028092 179709974 176327000 100551484 1000000000000000000 277953841 247811655 48783174 60026982 1000000000000000000 426201725 144502531 355310710 339296574 1000000000000000000 146897113 136703009 17232158 27060887 1000000000000000000 695038783 156925436 138946473 290589343 1000000000000000000 997231280 552151341 430285721 630464680 1000000000000000000 944068980 881274840 196574175 555090556 1000000000000000000 769204156 448374693 715243215 9454545 1000000000000000000 713739689 503007176 202885778 523691625 1000000000000000000 445541748 190931510 251678662 284638287 1000000000000000000 574907481 380592543 125900576 452796020 1000000000000000000 769438711 103360816 543701561 332797564 1000000000000000000 567213915 516371593 251994619 243539582 1000000000000000000 728338628 673482088 7614043 160754722 1000000000000000000 428926837 214891464 239123324 250124008 1000000000000000000 104540243 67064225 12670373 3995152 1000000000000000000 176333843 91105241 89761327 33344393 1000000000000000000 800491331 751531363 211009308 602566902 1000000000000000000 955095714 5646469 877231822 94800015 1000000000000000000 261782165 91809647 124061762 147695981 1000000000000000000 423170808 258362078 392461207 81721491 1000000000000000000 555249556 113915306 328758682 228181118 1000000000000000000 24022137 20970285 9491790 22250427 1000000000000000000 208488350 27224346 106150113 40934834 1000000000000000000 413845811 200663400 135961045 5119515 1000000000000000000 190753166 173903429 138830047 143780618 1000000000000000000 309060287 66012161 239062970 176747295 1000000000000000000 596953273 340430390 468822010 219016580 1000000000000000000 799377977 488028375 242344855 9779638 1000000000000000000 171254809 110387331 105119927 79965068 1000000000000000000 322941209 105084197 176970741 22532778 1000000000000000000 382235191 335788777 73789661 300127978 1000000000000000000 364661831 358574300 184090174 23872392 1000000000000000000 686954970 281882482 531957084 568930278 1000000000000000000 227466520 225095368 209500609 139438804 1000000000000000000 826173159 25798825 21089285 182265289 1000000000000000000 381953011 63490226 354106587 29283813 1000000000000000000 219269162 121474067 181736445 11123033 1000000000000000000 431448234 21003153 361110926 358807392 1000000000000000000 17700447 16966886 6907536 17409596 1000000000000000000 383053147 217741914 256956925 255625781 1000000000000000000 744446482 162497334 160617529 576291133 1000000000000000000 723020666 230828821 346055110 657274597 1000000000000000000 870906384 181523055 375456931 695313399 1000000000000000000 247285526 105223064 120004564 95655935 1000000000000000000 86997938 41646301 39878741 66030302 1000000000000000000 688608448 407428218 30693484 544382129 1000000000000000000 671462842 483151885 653248228 421478799 1000000000000000000 652528198 7300708 479852523 227758623 1000000000000000000 659408457 97098356 440957350 494616569 1000000000000000000 254499211 192179621 210369298 1626858 1000000000000000000 986335701 129903761 324277168 90884528 1000000000000000000 645611913 203391737 588226663 411193501 1000000000000000000 221481806 85071536 117037575 22616870 1000000000000000000 164463362 115793622 143473289 47329797 1000000000000000000 290898743 127029053 128669225 108421364 1000000000000000000 661350725 582567907 169434556 254942395 1000000000000000000 972029482 674445089 298986730 195809850 1000000000000000000 311354088 127392213 68738364 169916563 1000000000000000000 855065850 535255087 806401463 121475584 1000000000000000000 920656492 40239632 778937855 116762867 1000000000000000000 815853572 358849862 573026103 771122286 1000000000000000000 149151411 70093363 47685236 94775660 1000000000000000000 765385741 522827586 312656974 404079951 1000000000000000000 179812065 37223512 74737826 18993209 1000000000000000000 243596780 13055699 71713488 26914375 1000000000000000000 280707272 203703720 187514565 1675516 1000000000000000000 592646929 497892786 306262070 447377787 1000000000000000000 323468128 307661804 239216893 4398083 1000000000000000000 232292711 205017442 118872371 53405818 1000000000000000000 757290887 716769164 135909081 375803950 1000000000000000000 735687475 371405703 477915058 272341408 1000000000000000000 531567556 117896598 49202825 138906198 1000000000000000000 904247653 842186515 621276406 821605886 1000000000000000000 28447629 5872372 19856038 8751854 1000000000000000000 631147116 57362552 8791824 260712334 1000000000000000000 975699996 789312503 915681495 484024715 1000000000000000000 387126468 362035817 180765182 60314358 1000000000000000000 490262080 440051302 249277104 208497941 1000000000000000000 50124247 45951320 3499041 10421975 1000000000000000000 692695310 20444933 158823018 60709706 1000000000000000000 451061435 281030198 244196140 291643523 1000000000000000000 781408611 87105920 97191524 592892151 1000000000000000000 813759633 107673456 577695891 89298617 1000000000000000000 989349252 4276810 12697827 494112711 1000000000000000000 434242465 224091096 44245270 7041213 1000000000000000000 556558646 365628347 202942889 112741986 1000000000000000000 231104555 140983425 198870686 171114949 1000000000000000000 556344242 549678929 85743373 369086523 1000000000000000000 152152971 36959034 21353886 84663180 1000000000000000000 330363597 51783025 203624153 14709538 1000000000000000000 826373467 411987934 115169273 393822842 1000000000000000000 659493991 169290811 603737412 169575324 1000000000000000000 119927937 6882124 101299361 104570538 1000000000000000000 675201688 306352471 226675322 149057938 1000000000000000000 403691204 202526400 272864606 130695159 1000000000000000000 923383118 206320516 468446560 295003521 1000000000000000000 835438168 464052540 269538067 476592593 1000000000000000000 14663926 25937 4748788 307056 1000000000000000000 288671961 59895631 263184020 119762285 1000000000000000000 801591356 702985204 114638963 703783179 1000000000000000000 873906717 769891758 13914519 824733592 1000000000000000000 699448819 6361187 402262234 22000695 1000000000000000000 561131152 135716865 94196981 46868750 1000000000000000000 561164882 374495323 397530937 108431383 1000000000000000000 175973712 47404812 91941899 160333994 1000000000000000000 973120220 253717608 785258154 546355050 1000000000000000000 984067193 505149446 130046147 128574318 1000000000000000000 297264534 123577924 67431184 73422040 1000000000000000000 14571147 2375020 8288705 11099009 1000000000000000000 374867603 114825712 16325156 47146226 1000000000000000000 215339437 36701968 60313838 147818636 1000000000000000000 948796394 726938462 348244906 50101437 1000000000000000000 141869319 3632158 99025715 94871846 1000000000000000000 948032229 435554320 532314739 899614776 1000000000000000000 223155402 70860532 119685806 12175127 1000000000000000000 277746161 136833790 175222188 210207872 1000000000000000000 750935462 194760155 692322725 443711034 1000000000000000000 168928322 39501724 24734482 165635957 1000000000000000000 419595076 50701138 373479913 249666462 1000000000000000000 702329545 329982867 292020409 342834068 1000000000000000000 915200679 752791835 756590064 744076403 1000000000000000000 662103985 423731828 505918337 309118592 1000000000000000000 152538201 147510618 47930927 40079652 1000000000000000000 325110024 176625886 101861061 120904660 1000000000000000000 476951303 430368736 174197389 201571461 1000000000000000000 313108985 182717955 167928284 25929899 1000000000000000000 993776483 728534334 498179508 15584366 1000000000000000000 242622133 144818486 21471090 118581306 1000000000000000000 335480700 323261061 110504365 137890960 1000000000000000000 195523129 78037819 44596453 37490961 1000000000000000000 14115653 2195538 1505791 14055579 1000000000000000000 299484428 191184928 224172585 136874187 1000000000000000000 231412484 154167895 208822104 183921713 1000000000000000000 481178743 442933847 444313319 108746623 1000000000000000000 852960417 662647508 469487857 476929659 1000000000000000000 297937832 22405191 278439606 209300811 1000000000000000000 606194007 422520510 375437883 400611569 1000000000000000000 555383022 154831484 464954218 516090887 1000000000000000000 208528184 43547491 53482865 34815428 1000000000000000000 800741963 640182518 303173958 661623864 1000000000000000000 926760394 38913826 176106438 597575574 1000000000000000000 687644948 48634394 36747537 44051825 1000000000000000000 280543377 80282264 228617644 272771545 1000000000000000000 541545207 463909960 142343756 201668037 1000000000000000000 887875528 818103855 72671705 463740307 1000000000000000000 293894012 63690345 98683773 179925368 1000000000000000000 252793980 83484662 50876278 70867935 1000000000000000000 772205050 64372003 768114737 287532498 1000000000000000000 446809364 340285740 81939937 22765123 1000000000000000000 584531023 10892311 72491735 74906429 1000000000000000000 306428547 186312971 182516849 23739236 1000000000000000000 487497961 338769338 262953993 484273069 1000000000000000000 214776060 161360851 114766430 163987875 1000000000000000000 522380176 291470736 73916060 299301661 1000000000000000000 24359101 5208915 21726333 16756066 1000000000000000000 359763354 67203525 354853701 136429488 1000000000000000000 747816208 99094298 195083770 294972683 1000000000000000000 819476911 689259004 362156706 393585178 1000000000000000000 401148337 112800532 178983521 263695544 1000000000000000000 30020964 9445845 9898142 21520629 1000000000000000000 53431619 33492094 50176180 33418225 1000000000000000000 518554846 64447970 464608312 449193849 1000000000000000000 850718088 8709799 573523400 243101059 1000000000000000000 629938430 368893894 65906225 556213202 1000000000000000000 296513527 214249768 119251842 32166054 1000000000000000000 265304845 256047027 166173206 238792442 1000000000000000000 786839213 93840847 142676356 201177885 1000000000000000000 779617770 343536356 56333947 767928215 1000000000000000000 271462360 74004652 193706830 199838014 1000000000000000000 862303826 828412373 442807713 101039524 1000000000000000000 392986689 170227324 69363742 647937 1000000000000000000 923902769 347980766 428187487 61734245 1000000000000000000 260262843 59806971 173875830 22971921 1000000000000000000 836071171 784986727 588716329 624775007 1000000000000000000 866658804 635026866 62025326 466739623 1000000000000000000 253653992 54811317 204808461 62920103 1000000000000000000 450762619 322342578 413445342 407965128 1000000000000000000 474158799 35456086 254974943 226530049 1000000000000000000 777459060 634030032 548951267 368510619 1000000000000000000 20119073 12010134 1145350 12526221 1000000000000000000 135892843 24302163 53753141 46710792 1000000000000000000 254433372 116590724 13137145 47173763 1000000000000000000 188660082 30672818 115926369 79935519 1000000000000000000 500743734 292263876 314038160 498089577 1000000000000000000 470546933 313732222 347071291 323378984 1000000000000000000 697245183 581963828 583558574 485064253 1000000000000000000 99376967 57822428 82150236 63004921 1000000000000000000 633719264 29208744 77872348 45141837 1000000000000000000 117915368 2367528 36950690 114748779 1000000000000000000 140902054 140898098 66585385 11897152 1000000000000000000 890391572 391547889 622087785 215852029 1000000000000000000 358545079 21711165 10370439 110130122 1000000000000000000 735703846 57715945 57973359 511575741 1000000000000000000 795408935 573150448 381638462 289304470 1000000000000000000 608322351 236904109 389181583 422424561 1000000000000000000 410210311 194486970 177481003 168971099 1000000000000000000 724922639 127522889 189882056 27103901 1000000000000000000 466810192 412963503 33944519 446335389 1000000000000000000 337542368 206289042 149259906 185988839 1000000000000000000 227753863 205721122 135707497 26887893 1000000000000000000 200169198 64025934 195684063 147092305 1000000000000000000 792330455 403475273 474444537 201756529 1000000000000000000 140527049 136038804 58731676 5102392 1000000000000000000 424114229 359671260 261432720 233606919 1000000000000000000 137541380 18303795 5714761 35472875 1000000000000000000 248682835 139929971 200647794 131282582 1000000000000000000 986998132 470640869 293192085 482336885 1000000000000000000 221489432 119188805 31033771 186193226 1000000000000000000 449919966 345176913 210655650 396293350 1000000000000000000 151961602 81993871 72535185 5130861 1000000000000000000 996660307 327679068 338128814 358154375 1000000000000000000 813674505 533534192 321636882 523531167 1000000000000000000 555877244 268949351 102069135 271314674 1000000000000000000 265911773 26138726 150615764 83013313 1000000000000000000 312063012 132513808 286269125 276061181 1000000000000000000 803057833 503210837 342619816 412262853 1000000000000000000 322970525 193089673 58646753 84532380 1000000000000000000 224459318 19586243 209024464 103456300 1000000000000000000 326252514 134210059 309384409 310109237 1000000000000000000 794791215 114736447 390043057 108632339 1000000000000000000 392108975 325117153 18550781 265326175 1000000000000000000 601270542 12224834 167261080 394295338 1000000000000000000 268088002 254996575 43735376 73059147 1000000000000000000 58191412 38536684 14158305 40796519 1000000000000000000 270448679 212609444 86166984 198921840 1000000000000000000 825640296 31977807 618158178 445327098 1000000000000000000 981170224 41240243 501114571 134916642 1000000000000000000 868776920 323786652 546926327 6249029 1000000000000000000 463246735 449122481 244614665 153078535 1000000000000000000 199852386 1915020 70685766 39835935 1000000000000000000 689020995 608737618 608634534 195098768 1000000000000000000 431024974 174712500 304583578 262529287 1000000000000000000 77574264 22463900 30199960 13226881 1000000000000000000 567077506 466920533 526736249 250286857 1000000000000000000 260517291 236738675 216243284 156628710 1000000000000000000 764832319 268745851 278811785 14933761 1000000000000000000 192116649 107231884 30051777 957598 1000000000000000000 236404424 100903431 57781938 58902876 1000000000000000000 769920261 733780520 298565628 343305570 1000000000000000000 497186392 359843464 384289604 27145882 1000000000000000000 364145771 301140545 156559005 319484087 1000000000000000000 442243234 178900869 409029034 81382107 1000000000000000000 946420107 267318328 240968115 365224789 1000000000000000000 641113763 175632092 394413188 354054628 1000000000000000000 848005122 452348847 680979500 566409903 1000000000000000000 533153009 526812787 318007435 451007292 1000000000000000000 728209930 377921819 491778981 104421390 1000000000000000000 517462557 447869874 31661184 370286550 1000000000000000000 546650890 217627895 65306151 345492130 1000000000000000000 844753196 539895119 499231660 91488047 1000000000000000000 259059805 107207412 109008754 24190414 1000000000000000000 33897281 3222771 6340177 11763972 1000000000000000000 704004766 474109601 263738487 279538574 1000000000000000000 91824002 2201500 86345602 91817932 1000000000000000000 228110744 4489873 201861383 199860484 1000000000000000000 410824312 302450941 126287536 144007977 1000000000000000000 927948732 106359429 565180138 658245463 1000000000000000000 97494208 4681072 22483447 22898490 1000000000000000000 428556733 248213827 328179769 323154962 1000000000000000000 563744469 21541975 318765719 455254021 1000000000000000000 887658441 65403043 51957277 862675121 1000000000000000000 674452201 620890287 21354408 590686541 1000000000000000000 865534701 8876930 513860115 138210494 1000000000000000000 518223475 438288152 369756385 502889450 1000000000000000000 913889066 430434974 653059485 342936675 1000000000000000000 63243897 20555335 12721306 26820265 1000000000000000000 252575015 29929119 215906763 32500480 1000000000000000000 125798456 54659913 120750858 105472155 1000000000000000000 236649503 60624433 41233498 212054142 1000000000000000000 955598094 96385469 768248927 104130268 1000000000000000000 54714562 5899285 1843497 34345460 1000000000000000000 389060192 175860879 195559874 77761277 1000000000000000000 234977755 139599363 90477298 66405773 1000000000000000000 172947381 139086621 154405168 120927218 1000000000000000000 282454116 267200363 190077940 180485279 1000000000000000000 313620239 265965229 16329475 213848323 1000000000000000000 474675022 63394060 425680298 131360478 1000000000000000000 860323338 34774858 667391713 21295189 1000000000000000000 474341893 232486753 130159887 163525822 1000000000000000000 985307234 728538717 139684470 670045377 1000000000000000000 746242216 559142987 135487103 207710406 1000000000000000000 537187981 250564426 241553846 178171473 1000000000000000000 977436376 364558890 86161678 76615493 1000000000000000000 343077207 6487985 76951975 299699759 1000000000000000000 572234394 189852956 60140729 273275912 1000000000000000000 844143356 236034576 522012028 113364097 1000000000000000000 181951760 106682694 54839604 86570144 1000000000000000000 262093640 246056575 132438928 12151630 1000000000000000000 391618804 277709422 146018492 219198214 1000000000000000000 455988777 62097226 301151101 360419130 1000000000000000000 432847200 310007128 78207958 104931730 1000000000000000000 230800181 200401250 169850580 42376126 1000000000000000000 393830700 205858949 1780427 169414559 1000000000000000000 979674144 413024852 859436509 143929401 1000000000000000000 256815089 88303422 164866665 245116485 1000000000000000000 595336834 383401433 524489255 449621565 1000000000000000000 298046570 32393886 297131813 267166374 1000000000000000000 775662620 107692866 586508845 381089298 1000000000000000000 388962613 86867564 332682759 101635073 1000000000000000000 43301095 41340536 30785505 6682716 1000000000000000000 811677999 442740221 230281108 411977824 1000000000000000000 366866068 180876303 326442315 287348116 1000000000000000000 869617383 453687792 571270690 25679287 1000000000000000000 181718074 76698465 68520931 11290334 1000000000000000000 709592777 631835125 302310088 606969590 1000000000000000000 33888927 12869222 6070404 28083419 1000000000000000000 395269360 142178941 57727177 160149611 1000000000000000000 596450519 119493434 443839488 72264107 1000000000000000000 514408777 376110368 31920388 342022733 1000000000000000000 509631606 6319929 196104902 490986420 1000000000000000000 807811982 332900473 14647079 34736128 1000000000000000000 490627059 441716735 356686863 120783459 1000000000000000000 166382890 3221977 1700584 141951976 1000000000000000000 454384277 192177879 151780295 75940920 1000000000000000000 949613664 158982549 818871725 661243110 1000000000000000000 925557811 389066249 669363753 832401087 1000000000000000000 254242453 56759619 223659953 165348667 1000000000000000000 768015760 422005226 588377919 34892771 1000000000000000000 239395726 111355116 96141849 226545631 1000000000000000000 831368821 736108566 217578465 23375002 1000000000000000000 215218263 36503451 2728506 132047665 1000000000000000000 83588819 57127395 47903495 32784774 1000000000000000000 438953504 184278416 100360930 244179616 1000000000000000000 880686272 641562651 282313630 680006928 1000000000000000000 119593581 35906787 95373906 76873136 1000000000000000000 571839709 447282718 418188457 515706215 1000000000000000000 166802744 92722813 31572554 116768825 1000000000000000000 132039522 62799704 130273362 62980375 1000000000000000000 553996907 187067620 357773654 438243294 1000000000000000000 264316391 56888706 113124831 208931057 1000000000000000000 890209110 65827748 599985854 766416846 1000000000000000000 468997456 355772470 305612012 28674744 1000000000000000000 172240643 54281395 147086411 151394448 1000000000000000000 373722225 145882921 32600344 36080130 1000000000000000000 266386961 28448067 171302137 165608023 1000000000000000000 646143930 485772290 403395463 511647509 1000000000000000000 763463649 14420802 722238679 297623934 1000000000000000000 156491822 98329365 85946544 36600558 1000000000000000000 474935344 111815920 86053951 247179027 1000000000000000000 868522108 164759237 217639828 12043375 1000000000000000000 228212623 83125060 150428728 83358305 1000000000000000000 785314476 543718526 73911632 691414211 1000000000000000000 8591986 891988 8031147 2621575 1000000000000000000 282014567 17192712 214254459 20565064 1000000000000000000 315400322 288296279 252729801 314028041 1000000000000000000 825048150 473018132 23002147 590958881 1000000000000000000 114812224 78134004 68056903 44010731 1000000000000000000 978933532 738164766 901025493 971223686 1000000000000000000 548793161 32983378 294918470 178611832 1000000000000000000 178338769 17471410 77602874 165989557 1000000000000000000 729436167 218613809 219596085 21690716 1000000000000000000 311870190 87201355 284964139 204386478 1000000000000000000 311064302 164632932 29445369 142292207 1000000000000000000 27071361 18052904 25457247 10828932 1000000000000000000 873660210 688920806 769127491 255999914 1000000000000000000 231136840 204805515 69807600 121552092 1000000000000000000 517244771 33676079 492290901 442405353 1000000000000000000 104854909 72237344 41356511 69283530 1000000000000000000 702796502 565128015 612500740 579273770 1000000000000000000 178512456 114297176 172109370 16025357 1000000000000000000 137396021 10668493 70417476 36892029 1000000000000000000 707321997 99568545 150299831 242282119 1000000000000000000 159553722 97291913 9507260 66233681 1000000000000000000 66582834 44398027 65957845 66439337 1000000000000000000 590271063 278315872 287005080 40832792 1000000000000000000 508298670 143118865 23302648 455764079 1000000000000000000 353006294 158210660 312645386 19472000 1000000000000000000 750680385 621118071 411149010 691762160 1000000000000000000 622211286 278855926 452666507 575736476 1000000000000000000 666773433 271801751 665160495 637813024 1000000000000000000 446312941 78400692 82346920 428053711 1000000000000000000 246006253 95063274 182603262 244124098 1000000000000000000 161298537 109282886 42606284 138075401 1000000000000000000 490848810 16440995 111007347 116450492 1000000000000000000 10404611 7369051 2984381 1729952 1000000000000000000 923863310 392425909 115377206 694894828 1000000000000000000 341606122 186676277 3653216 100798065 1000000000000000000 858199154 74229966 175469959 445923530 1000000000000000000 915944603 73458266 315881126 421884634 1000000000000000000 165755573 73280353 9096643 74108315 1000000000000000000 620348525 556804659 558464014 487291994 1000000000000000000 556429420 506657251 435997355 452688131 1000000000000000000 444915763 405417011 413049266 290387487 1000000000000000000 311735257 268064593 57122068 181646752 1000000000000000000 655064634 447844241 441012673 242721584 1000000000000000000 67348782 7169431 15835164 54047319 1000000000000000000 223772429 1932079 108030322 116344411 1000000000000000000 233743366 81459749 77515600 40735163 1000000000000000000 698843867 392594062 309712141 473628928 1000000000000000000 968750535 199203719 744195848 339789198 1000000000000000000 333319831 238407759 11444827 127925386 1000000000000000000 189821169 158099054 1539177 62365854 1000000000000000000 902752113 876398764 890565813 448202444 1000000000000000000 16028404 1436499 2227806 9152478 1000000000000000000 97239283 69541816 91503889 1933688 1000000000000000000 53792880 44139460 32135230 3394973 1000000000000000000 342923277 94699799 263114789 19067383 1000000000000000000 364984632 4816571 288929032 70376007 1000000000000000000 610521925 294232090 333017945 440999432 1000000000000000000 986996961 95690441 810816837 256197840 1000000000000000000 134719854 91367347 103765717 94062277 1000000000000000000 450900984 373102406 233577332 374841247 1000000000000000000 853956296 232882784 815069006 191343143 1000000000000000000 52917084 21387349 21131300 37040166 1000000000000000000 23738780 4816465 8257783 189045 1000000000000000000 633984372 11492980 416292806 207732508 1000000000000000000 142706427 78510362 41023582 93087859 1000000000000000000 374515717 171405685 78826982 230542905 1000000000000000000 440181482 245191185 395607208 319702631 1000000000000000000 604498743 57231491 63731875 49498711 1000000000000000000 243338977 62209518 195806733 131346513 1000000000000000000 774074967 83978799 657293814 691546104 1000000000000000000 354559377 124572992 323218804 321202125 1000000000000000000 608845954 259124037 383606766 600478571 1000000000000000000 462657140 425324837 166084512 355650782 1000000000000000000 938115937 355893216 83318542 53375125 1000000000000000000 779178117 107452848 174444662 65956900 1000000000000000000 904220036 685786439 145702543 432135500 1000000000000000000 901691578 571990089 190701208 238325404 1000000000000000000 957154605 748396807 947861681 570621377 1000000000000000000 505230844 472332851 84216046 100048020 1000000000000000000 256979272 18771665 254564458 145767180 1000000000000000000 35287143 9294019 9848733 11416269 1000000000000000000 45241931 14580127 2772753 41425516 1000000000000000000 324492451 193081538 299392051 217585058 1000000000000000000 346803495 27148793 163023770 98842131 1000000000000000000 532449133 258564160 311793884 246422786 1000000000000000000 83058139 45596787 66044182 60992332 1000000000000000000 964639364 40632327 884078177 290866742 1000000000000000000 301211791 71622370 291561977 32525845 1000000000000000000 793024611 392876892 345210603 88212476 1000000000000000000 671006756 542212688 134921066 381392488 1000000000000000000 460545359 217074832 55546530 361113270 1000000000000000000 53470206 49371123 18725569 1835145 1000000000000000000 410849823 68062121 365130850 286962734 1000000000000000000 678192658 424849493 348063094 176236148 1000000000000000000 749287619 241684019 546339893 8236773 1000000000000000000 674564139 587649885 404989647 218353138 1000000000000000000 286983574 106959178 125737109 149749860 1000000000000000000 183756399 84709047 125144199 152497143 1000000000000000000 879930678 681148705 821184615 370436655 1000000000000000000 546184868 315431861 269150555 480733711 1000000000000000000 555786619 488055013 516905146 189981434 1000000000000000000 3915159 2570601 558257 1141459 1000000000000000000 117872435 92615251 48684020 85325851 1000000000000000000 351485046 37749833 56388792 222490811 1000000000000000000 553528279 470274609 329829492 14313612 1000000000000000000 875326408 771854586 84002450 456868267 1000000000000000000 3312957 1327994 2865064 2336517 1000000000000000000 483406177 479293094 142177429 270760653 1000000000000000000 633609311 379976605 211138469 480176197 1000000000000000000 629976214 2655129 623223520 308938046 1000000000000000000 695024643 658557324 85403381 657032125 1000000000000000000 629446118 116251834 443874352 508918977 1000000000000000000 506575885 299408242 377070803 376069271 1000000000000000000 540722370 332735669 384880180 465481735 1000000000000000000 690209321 257199073 353141207 399498352 1000000000000000000 511099477 124182634 44451510 362894133 1000000000000000000 635074523 509680869 43790902 494728528 1000000000000000000 716340546 175299604 560851267 298432050 1000000000000000000 132051372 14894211 59674199 91265973 1000000000000000000 224882205 211023445 22886351 55396891 1000000000000000000 654553499 354548953 614650627 169375418 1000000000000000000 15064923 14638499 1834177 2345944 1000000000000000000 165687618 127446403 66290774 155156802 1000000000000000000 742276440 145912568 667467382 309694912 1000000000000000000 490868812 36703177 390649813 418677187 1000000000000000000 308548514 8946886 120950543 10425198 1000000000000000000 592855314 138378470 129164439 429132293 1000000000000000000 83458035 17150769 41413479 26993270 1000000000000000000 900325255 592618951 397999388 711845964 1000000000000000000 512138287 122077635 420166787 448566512 1000000000000000000 542888682 327220855 137491964 225819544 1000000000000000000 868465786 37275365 648593413 16458398 1000000000000000000 13264118 767731 2749721 5018465 1000000000000000000 192586166 84235878 122171840 122032020 1000000000000000000 997923241 484032447 740119737 433605432 1000000000000000000 279254269 269808796 252760703 125319719 1000000000000000000 379935828 249663817 96060810 116394253 1000000000000000000 734384768 426959067 169551890 581387016 1000000000000000000 576543656 235994520 205847325 282289314 1000000000000000000 591366977 105117386 25973111 482061152 1000000000000000000 403231140 389089301 244549139 17680058 1000000000000000000 261706212 129473223 147517508 35410210 1000000000000000000 829525074 175917954 381791340 291742164 1000000000000000000 564576064 467638171 113159717 427268942 1000000000000000000 298748752 266407563 175555636 210920716 1000000000000000000 656027917 18157545 447184015 418559586 1000000000000000000 516674809 288856099 41019860 238963746 1000000000000000000 209896439 145156031 124959589 113047854 1000000000000000000 992160457 610950049 53086986 671207017 1000000000000000000 401559942 371919295 368760694 219993015 1000000000000000000 425290383 244983570 9201281 176761407 1000000000000000000 28007194 10890258 12066459 20154313 1000000000000000000 673454955 10951641 146353887 341013091 1000000000000000000 350737487 225177927 206528354 297838994 1000000000000000000 656229143 463927485 98621784 297755142 1000000000000000000 714937346 347619370 54182663 588732778 1000000000000000000 124532073 32151145 60938302 44666843 1000000000000000000 98150134 71293404 21998443 75370731 1000000000000000000 564147005 966601 273328753 211594507 1000000000000000000 627333491 108558981 565416458 458237038 1000000000000000000 28800492 3434947 23443985 13077855 1000000000000000000 365426193 284517448 108373341 148475986 1000000000000000000 757828701 125677672 292377166 248150347 1000000000000000000 31830546 14704036 30699470 27506290 1000000000000000000 320637666 11328799 166673790 152809330 1000000000000000000 630568026 607210133 476159793 407777581 1000000000000000000 268175930 162358958 175152533 165277963 1000000000000000000 172826135 161520451 23332873 63784750 1000000000000000000 497527115 18333016 438838359 164672787 1000000000000000000 588373276 27899212 4111337 513868421 1000000000000000000 65304931 32790292 33915698 12839334 1000000000000000000 453730261 115790011 106098569 127365406 1000000000000000000 766069862 596875452 109295317 45354124 1000000000000000000 726832216 305847399 658807294 418928865 1000000000000000000 14695760 6050277 4157044 11645564 1000000000000000000 853476726 487232106 670959561 64905865 1000000000000000000 213742331 62917013 64599554 163622700 1000000000000000000 348119097 139007993 330971873 275817538 1000000000000000000 622039269 169380511 168395793 567666207 1000000000000000000 39651729 5494202 10135239 20913525 1000000000000000000 982722865 249888628 121923791 515170626 1000000000000000000 611265657 517322512 176952339 141531050 1000000000000000000 644825302 530845580 193454089 72429253 1000000000000000000 858101154 139335758 440552922 330395873 1000000000000000000 761662629 105161248 445775902 478424401 1000000000000000000 942982774 210923663 438971619 906773311 1000000000000000000 842170244 29199359 645129872 33226175 1000000000000000000 814122338 555464747 711984203 62288132 1000000000000000000 257018990 12587621 101091340 228876825 1000000000000000000 252710174 107757886 218282417 232990987 1000000000000000000 89795794 1283981 43623272 61478002 1000000000000000000 23361147 7630774 13544322 6817605 1000000000000000000 294081363 102780606 6578979 21186883 1000000000000000000 733268398 163344561 119542971 435274704 1000000000000000000 781048067 637337892 383373480 661159873 1000000000000000000 531656044 328868484 5227562 425776277 1000000000000000000 792434169 397540219 79731721 363830114 1000000000000000000 192643002 151723188 78134584 138144897 1000000000000000000 808185355 527976350 367354488 59509587 1000000000000000000 647375093 611218122 515762599 643596653 1000000000000000000 58520837 21260896 24999939 12475923 1000000000000000000 100913207 59225490 78416748 55594329 1000000000000000000 279491222 19300466 186173228 140279425 1000000000000000000 279781531 265720968 226796430 24683848 1000000000000000000 982167778 226064008 620614434 526666724 1000000000000000000 155570710 153960121 103662342 135490321 1000000000000000000 163428553 99382915 56504812 48230985 1000000000000000000 535167240 12178709 52064224 318799680 1000000000000000000 581210288 357105452 209806980 33656200 1000000000000000000 310758594 162329336 65344598 119740440 1000000000000000000 661191573 51664005 491740556 141745783 1000000000000000000 384629231 12218517 182735309 332097517 1000000000000000000 90340012 19239395 31659251 54221195 1000000000000000000 391373509 370509283 268455444 265384068 1000000000000000000 807215488 380817037 757420508 546156883 1000000000000000000 920688237 370780183 93050791 51963987 1000000000000000000 121778500 27889747 16852206 28466429 1000000000000000000 590282750 203701010 402227794 54867712 1000000000000000000 297972090 9248286 73011465 8028342 1000000000000000000 287159649 235545165 22740683 155786813 1000000000000000000 80087064 44036327 59302981 32483707 1000000000000000000 673997427 175381723 59856295 171362147 1000000000000000000 236131565 87345878 203200425 89831285 1000000000000000000 819869388 624072962 574786109 158309005 1000000000000000000 971590870 71370571 165803289 773662656 1000000000000000000 16886176 8967213 4119152 14255786 1000000000000000000 296256224 66452091 56777390 187846341 1000000000000000000 884830279 297055311 272955629 712902086 1000000000000000000 596414189 41611831 152781968 70452900 1000000000000000000 964780421 246273561 396409988 265619238 1000000000000000000 900154407 35713337 384136275 40068908 1000000000000000000 96301150 85627284 73407796 35372018 1000000000000000000 577263495 259415472 149742127 556551762 1000000000000000000 987624593 464073750 308811689 639769758 1000000000000000000 658948602 229295527 59967814 452850096 1000000000000000000 455709920 432445635 190411763 260449865 1000000000000000000 219539389 179869199 201852699 206462914 1000000000000000000 224586981 45520439 134849595 966881 1000000000000000000 143344520 53288592 76296322 30759538 1000000000000000000 20171089 15528256 10810023 8884105 1000000000000000000 445819946 259938947 22189802 131240699 1000000000000000000 896363392 45869133 52742587 125925964 1000000000000000000 60988000 29274414 27986260 425054 1000000000000000000 307750644 97842373 210136538 120601677 1000000000000000000 198119800 89350832 154130667 33829898 1000000000000000000 793102675 378385420 64011071 754170919 1000000000000000000 348553450 120078507 173806126 156289555 1000000000000000000 561697567 49174218 32694108 168838120 1000000000000000000 348794216 11127603 177823521 319031622 1000000000000000000 121985659 88504001 108595375 72695458 1000000000000000000 945717935 245639302 242965389 166881427 1000000000000000000 100329757 60180441 54866653 41798482 1000000000000000000 778302221 267241023 301537244 37333705 1000000000000000000 996787064 176587652 607503597 516170892 1000000000000000000 367066701 168943499 343989575 346631068 1000000000000000000 939131960 277073431 173232238 384613245 1000000000000000000 745862629 636803467 111576225 141352306 1000000000000000000 113171013 56548315 39884200 14344597 1000000000000000000 246604277 22121802 137455449 32992481 1000000000000000000 528031001 249905152 25069045 332111822 1000000000000000000 961262003 891442111 200795161 127656163 1000000000000000000 576054233 143411095 371030036 34344150 1000000000000000000 897016462 173767563 83790127 798587222 1000000000000000000 743258883 207821973 107469016 523608987 1000000000000000000 695785833 58666570 224051585 308056757 1000000000000000000 300896793 46098340 104526231 30043536 1000000000000000000 181950166 48938790 59597576 102824813 1000000000000000000 240511505 219649183 1173920 115794008 1000000000000000000 526350530 120561432 168591125 261328992 1000000000000000000 415012177 296125094 355712692 67169239 1000000000000000000 353351787 107053052 19404771 104753827 1000000000000000000 400562172 120030535 380501275 305398609 1000000000000000000 84988402 45723804 71708482 42414243 1000000000000000000 37856927 802856 12212626 7248669 1000000000000000000 301842790 39980180 55594849 227104923 1000000000000000000 761465548 737511018 226004731 272330687 1000000000000000000 764321608 256096906 715922864 551922945 1000000000000000000 657858268 391281247 380659580 408361117 1000000000000000000 114268104 35113002 29150876 15502676 1000000000000000000 521232936 266891392 275719423 127066162 1000000000000000000 213271659 194619699 205790688 86616944 1000000000000000000 762291795 462304495 288407343 660166711 1000000000000000000 565197850 95188044 513344249 430820708 1000000000000000000 665769567 197485659 301349051 526201730 1000000000000000000 782808511 241893571 408805647 462141842 1000000000000000000 653631742 185677960 399702867 500260940 1000000000000000000 974423621 771910979 467237643 243259723 1000000000000000000 843860420 841390812 113281092 591848942 1000000000000000000 724984973 719524757 290798053 174287391 1000000000000000000 391111124 276053218 367330989 300892622 1000000000000000000 768211886 31443603 477891222 605373155 1000000000000000000 583282148 91377607 154927310 354670607 1000000000000000000 287436346 75543506 195879356 25839866 1000000000000000000 866725454 277388098 200750749 125565267 1000000000000000000 204811268 44278052 174329566 44526946 1000000000000000000 475030330 321236414 216986442 234619008 1000000000000000000 418246402 298602548 286200763 2962380 1000000000000000000 592133567 306231343 429468310 475195470 1000000000000000000 927309778 689702905 14187397 664027253 1000000000000000000 46512500 40708804 19689717 8127418 1000000000000000000 936887090 884489027 319224340 685412944 1000000000000000000 192312503 147913901 81423265 46246225 1000000000000000000 49613710 26133683 46795559 22287128 1000000000000000000 98721126 70205983 39316844 15641000 1000000000000000000 809687203 629112924 24918093 645420973 1000000000000000000 428538280 373400077 246866528 228483764 1000000000000000000 87400601 48467152 13390721 60355199 1000000000000000000 570127293 393306729 443270976 477358997 1000000000000000000 351767157 90281093 55211674 85777653 1000000000000000000 634855446 439800391 339116745 25451156 1000000000000000000 898732378 827019104 556895084 150925488 1000000000000000000 753703597 153280150 133787703 217207864 1000000000000000000 546244837 203186214 118430783 186654959 1000000000000000000 651169634 142617118 114841433 631993432 1000000000000000000 463693190 77514977 148001107 307046882 1000000000000000000 975896640 656389228 204053067 905609906 1000000000000000000 849475951 347981306 766075959 257798236 1000000000000000000 888238351 48987093 64071568 97039629 1000000000000000000 285493500 105169725 154068641 52441310 1000000000000000000 58120266 39638376 30505887 45583707 1000000000000000000 232910899 107140457 157136297 86156893 1000000000000000000 281726050 162756498 256735660 106903894 1000000000000000000 237314245 89649225 22058489 184998145 1000000000000000000 502462811 318461185 439297722 264712710 1000000000000000000 225318253 27457122 133220074 990381 1000000000000000000 556324625 144384068 12469132 526365280 1000000000000000000 890243658 873483724 737964712 566463910 1000000000000000000 538062962 306869686 191325859 390470569 1000000000000000000 677292664 294870628 574657192 521617241 1000000000000000000 657983393 248976866 365485417 595531808 1000000000000000000 78629435 76052366 15339139 27141927 1000000000000000000 629435199 188743240 378909664 359022280 1000000000000000000 484931764 191379031 400093704 350894570 1000000000000000000 273435669 172591231 66834701 3261900 1000000000000000000 254024266 113883215 158953404 88893790 1000000000000000000 79907411 6049099 68048814 9147330 1000000000000000000 845096883 368218307 187078633 128056401 1000000000000000000 691754645 237272083 38041793 668566265 1000000000000000000 211814296 181677389 100880290 168274489 1000000000000000000 803108145 753250867 121370332 373159087 1000000000000000000 955655 63424 451505 52794 1000000000000000000 927349720 498446448 326014078 378716770 1000000000000000000 261146649 98389411 132488393 235705699 1000000000000000000 22006237 11069472 3163569 633292 1000000000000000000 703859649 7066807 166457622 316544246 1000000000000000000 848603196 672904132 587043667 389159609 1000000000000000000 138109674 65632172 78748702 14319169 1000000000000000000 668180293 665995271 428393665 72445645 1000000000000000000 648835132 361537525 58079051 348024962 1000000000000000000 562222062 208176830 281029971 320745059 1000000000000000000 885673744 168543558 349982936 356425262 1000000000000000000 839660760 425781115 437871091 690058168 1000000000000000000 657409716 180203792 544230925 204474266 1000000000000000000 922575617 570557692 377945663 781113361 1000000000000000000 537408528 281454147 473766731 259609524 1000000000000000000 505193488 14283878 397813394 323754222 1000000000000000000 269393032 17042196 2403555 190372425 1000000000000000000 690667457 404292941 45968728 250177037 1000000000000000000 307568403 155268018 220314145 171438097 1000000000000000000 722586246 492272918 412040543 163516663 1000000000000000000 966895218 674419333 173987261 681300287 1000000000000000000 336896772 288879821 27609211 90269900 1000000000000000000 689855702 314908001 639348679 686428711 1000000000000000000 488266637 401637789 475948072 146040179 1000000000000000000 481107229 391820202 27089558 115672615 1000000000000000000 373041198 239388132 292131387 180323175 1000000000000000000 593664984 357441694 34255101 395224103 1000000000000000000 331343171 137334375 179536996 101280451 1000000000000000000 2936778 1867094 2055250 1802087 1000000000000000000 976785305 210991169 273982984 777838594 1000000000000000000 204253905 174771444 64579113 182802962 1000000000000000000 829373657 271361046 741266214 33664864 1000000000000000000 249389932 220058129 133282833 213082041 1000000000000000000 606930390 139140599 402377720 195210033 1000000000000000000 902901257 410276839 206351667 6907690 1000000000000000000 68899438 52743389 13877804 31661880 1000000000000000000 928814298 546863344 94282049 280259110 1000000000000000000 100148487 96677669 95097395 28999604 1000000000000000000 474172709 441228904 37995602 9090416 1000000000000000000 93092712 34569877 82879885 55076842 1000000000000000000 176142620 11573319 98821205 153306478 1000000000000000000 40008230 28923844 17910963 28385796 1000000000000000000 132780763 65625000 43309247 24139163 1000000000000000000 765602165 65012300 54895652 267167534 1000000000000000000 450067056 152278745 245067161 158989752 1000000000000000000 827544412 454877051 363819585 422239607 1000000000000000000 436616406 285688959 142624720 422393706 1000000000000000000 353521911 53674563 298427088 30278744 1000000000000000000 634657437 193369427 225117618 424995399 1000000000000000000 116691333 53878724 67861941 28363457 1000000000000000000 430507748 300481495 197499813 393587215 1000000000000000000 141544837 10679301 124594850 81354903 1000000000000000000 455743886 444579023 34623006 130557554 1000000000000000000 68059955 54626669 36842559 14083184 1000000000000000000 228067330 7352400 8770935 198438335 1000000000000000000 760357227 661345436 257365083 537861277 1000000000000000000 415402168 403408063 190559171 268140938 1000000000000000000 996877716 26384158 761621489 979234807 1000000000000000000 557119985 520292397 535846543 78212913 1000000000000000000 281408029 206632825 232080141 224733698 1000000000000000000 516674589 362362608 455695131 428994784 1000000000000000000 736072805 553877498 615545678 470872476 1000000000000000000 918841220 158055721 203664628 38960424 1000000000000000000 991514494 52026647 966494771 31048546 1000000000000000000 112250315 64084102 24431964 72351071 1000000000000000000 631144655 391630000 15255482 225383153 1000000000000000000 843198346 737283018 745286167 176432842 1000000000000000000 892644861 218360037 320440501 264160264 1000000000000000000 633427840 67309673 482861804 342913929 1000000000000000000 813359999 553839652 267867461 273251941 1000000000000000000 275838263 260614184 87203018 146957189 1000000000000000000 347879186 167943822 133900504 26571155 1000000000000000000 636282850 60966491 298971476 386946072 1000000000000000000 985389697 179140837 611960528 9984259 1000000000000000000 963804006 698320283 244947709 794413150 1000000000000000000 695485495 593278925 352857590 398249884 1000000000000000000 675021856 285813670 630433045 464338099 1000000000000000000 926337368 377832155 231144436 281463887 1000000000000000000 95223432 31633399 43119465 77599556 1000000000000000000 167171820 29850361 76381673 47745936 1000000000000000000 393589243 26852936 163299031 332424320 1000000000000000000 634503649 543154552 340273396 353289627 1000000000000000000 69070866 47056072 33545965 26903327 1000000000000000000 566763487 310683190 236995406 552682411 1000000000000000000 67097574 6813305 20497181 30287864 1000000000000000000 37493915 20789138 36111006 33325711 1000000000000000000 386178677 219763118 315306588 24020144 1000000000000000000 597715930 443858322 251424652 484347439 1000000000000000000 837825807 600890158 598040837 28240933 1000000000000000000 234092903 25438516 216435633 107737620 1000000000000000000 160013089 46651199 154862888 111379093 1000000000000000000 495542389 31319135 322255229 189570716 1000000000000000000 440760388 226209099 378987406 249530012 1000000000000000000 514352885 186503813 22966958 305832495 1000000000000000000 866567351 411941151 275707374 458141232 1000000000000000000 931714604 903076291 3836269 800004353 1000000000000000000 631131610 547010444 528347160 205976995 1000000000000000000 415808098 333456819 11470026 135725666 1000000000000000000 100511068 61240104 30850877 54241375 1000000000000000000 258793985 244823104 34416205 234685582 1000000000000000000 374588687 260393164 272693686 145890389 1000000000000000000 159512070 96119722 83581366 9318280 1000000000000000000 440914690 229453569 27289616 100440327 1000000000000000000 869672721 520105803 777200575 453172689 1000000000000000000 517668623 149006572 461568017 123851636 1000000000000000000 625493227 484925985 140083638 498070521 1000000000000000000 263773767 131284853 156311002 258193298 1000000000000000000 530879583 392869323 389507685 481553849 1000000000000000000 321557780 217576994 79120553 231969793 1000000000000000000 128295529 70562882 89569220 88708726 1000000000000000000 479991802 107620637 347668890 294787799 1000000000000000000 432672351 306012866 279683879 274050793 1000000000000000000 72031224 31853126 12915670 36931500 1000000000000000000 296596481 133524523 144663905 229582369 1000000000000000000 578833916 576289488 303474245 566768431 1000000000000000000 489470782 323670065 452103526 364676929 1000000000000000000 164490851 98012555 51984312 86091485 1000000000000000000 778185687 743327272 96906557 677998261 1000000000000000000 16466597 12220609 8829708 8938490 1000000000000000000 712567232 711190543 264663453 542086404 1000000000000000000 26490367 26331596 16798001 7344938 1000000000000000000 880826309 611299861 277400006 181431331 1000000000000000000 455092542 82287299 417300091 332416710 1000000000000000000 298884928 80926886 69152083 255062566 1000000000000000000 882524818 867852188 667300714 503451734 1000000000000000000 809982888 233607613 9421135 585864470 1000000000000000000 22046761 820123 15279622 12343484 1000000000000000000 675848448 523455480 514636339 570112951 1000000000000000000 127812801 28034497 88065893 109870937 1000000000000000000 792105067 252322060 580392189 194173176 1000000000000000000 149795968 60333633 127760090 2485653 1000000000000000000 700188108 197968377 484077585 475409833 1000000000000000000 722510397 162799065 443972572 337211093 1000000000000000000 639959975 575120977 71852308 604152468 1000000000000000000 761867411 446831951 277502489 268822095 1000000000000000000 957477526 64564571 813474161 676385795 1000000000000000000 264570923 221702265 81034870 8121531 1000000000000000000 528010680 13941301 455120326 357778983 1000000000000000000 906958776 363165836 816847107 819681923 1000000000000000000 438149896 32724343 5630784 354171763 1000000000000000000 364626953 11632265 106513631 280994778 1000000000000000000 151021571 16052506 76349145 8167705 1000000000000000000 475011090 315682611 220159564 187714959 1000000000000000000 579915886 307925475 186927911 512351161 1000000000000000000 795290124 568564249 780849941 499545773 1000000000000000000 837238112 728576538 333274362 245706633 1000000000000000000 423053792 307947819 386804317 346587455 1000000000000000000 73152159 54919203 61369885 72539848 1000000000000000000 63520692 31979592 25154297 30041579 1000000000000000000 413661320 362834802 391098878 276685640 1000000000000000000 95322200 1482155 793682 80756904 1000000000000000000 445302260 21342384 106159042 205440 1000000000000000000 927087322 476965416 465964843 341512910 1000000000000000000 8272487 1009042 7049402 373175 1000000000000000000 670902615 121717395 267622367 341135125 1000000000000000000 641848357 339235288 339526293 243249227 1000000000000000000 531589967 487415004 426896925 3562316 1000000000000000000 291761207 20512433 273191748 253606071 1000000000000000000 131861326 73426623 82168306 108535853 1000000000000000000 844351069 413172790 763321581 757948817 1000000000000000000 286652265 196507585 248712601 276127793 1000000000000000000 8290688 5434101 1591710 2816177 1000000000000000000 354429867 233571437 56680217 90189547 1000000000000000000 434563130 350361163 26246023 188950389 1000000000000000000 778467795 23568196 695622029 489975481 1000000000000000000 441630978 309498949 23509361 205874786 1000000000000000000 148587729 18080882 80944273 63866357 1000000000000000000 881317734 760995467 295521180 846046824 1000000000000000000 682936948 460384704 673642171 436410370 1000000000000000000 644098636 35144579 99338278 17513381 1000000000000000000 733292721 159365594 149305276 303812715 1000000000000000000 998804874 934780358 385551341 824484144 1000000000000000000 958095918 853808064 73404681 157061186 1000000000000000000 696001643 447932711 324769178 682884201 1000000000000000000 757470764 130043967 2748781 603071881 1000000000000000000 446797812 358943488 65012313 41296610 1000000000000000000 630250941 529110933 484119101 227871783 1000000000000000000 141360161 9561615 129472690 88512722 1000000000000000000 569356765 522744020 198486491 95872313 1000000000000000000 536861794 452253267 29611469 411719916 1000000000000000000 105746967 85438392 62910959 103175221 1000000000000000000 980774032 424194196 424732357 387646557 1000000000000000000 782072587 211551759 720607582 481190077 1000000000000000000 981298225 426793325 99367844 84971329 1000000000000000000 172213542 35562869 93501677 15370470 1000000000000000000 118976686 19734034 101343083 59165267 1000000000000000000 14290284 7398484 5065269 3408165 1000000000000000000 842102377 401242885 571669708 409990720 1000000000000000000 954836659 940203067 444766984 702878019 1000000000000000000 558534345 152134026 45558145 25984303 1000000000000000000 935627141 49679214 861258893 664874743 1000000000000000000 929561278 239206710 150349914 229064421 1000000000000000000 11668816 10520796 6058804 9889192 1000000000000000000 161627740 46270182 125838761 87217442 1000000000000000000 252682432 158935286 216971778 80900589 1000000000000000000 759536188 585202369 541283794 624890713 1000000000000000000 602486487 329710896 174076049 361826173 1000000000000000000 962187822 163946958 615809930 28239791 1000000000000000000 73706464 16125776 19171403 22966011 1000000000000000000 515071627 339017707 170299787 233386690 1000000000000000000 5161218 1297708 416576 549420 1000000000000000000 994084966 818432041 215729544 541373500 1000000000000000000 595521225 351153820 347312894 297706720 1000000000000000000 330543401 160434428 272780713 74709577 1000000000000000000 380171272 3264857 36225085 374920645 1000000000000000000 309933778 218159155 229660466 167375103 1000000000000000000 976462029 532012073 578701390 629463713 1000000000000000000 519609460 26244764 455005057 4348110 1000000000000000000 561803431 459873685 239743783 359964605 1000000000000000000 226933456 138134420 115602408 36714298 1000000000000000000 526688732 145922372 219908768 232551928 1000000000000000000 717336357 502690157 396137038 337692628 1000000000000000000 957907106 608133758 382348425 743630379 1000000000000000000 540554947 267033709 494452249 24867386 1000000000000000000 475257217 21847710 407059744 171593199 1000000000000000000 337541676 280393917 304846856 151051229 1000000000000000000 675553239 44199306 195684136 459692894 1000000000000000000 676245728 393147213 187699928 94416468 1000000000000000000 807374806 425921158 485786967 438852402 1000000000000000000 705621146 117414666 166590497 87635697 1000000000000000000 535880723 77737593 275618110 158614029 1000000000000000000 186343901 119186678 96863381 177680447 1000000000000000000 378566609 100265243 220986164 140015441 1000000000000000000 41951962 22043163 6923054 6775913 1000000000000000000 782032741 204316675 212748613 721714779 1000000000000000000 194139294 39630307 146138086 20239431 1000000000000000000 73750286 40034047 40282792 44948445 1000000000000000000 95505277 71010216 90367142 37037634 1000000000000000000 315064209 244925696 77545024 64106423 1000000000000000000 265539107 169161700 206230018 258147511 1000000000000000000 25558976 21627263 3735167 2350356 1000000000000000000 510391455 183726133 68193210 371867715 1000000000000000000 354725332 77663244 182130086 23447618 1000000000000000000 331303920 248226899 320530 48167648 1000000000000000000 860791855 206678044 329552280 484280 1000000000000000000 284748124 3335679 200985756 183873842 1000000000000000000 207319491 183685045 151140258 121959703 1000000000000000000 11612729 2210594 6776893 6357972 1000000000000000000 417880278 158214653 110410943 207153262 1000000000000000000 868267004 379351284 758379233 806032197 1000000000000000000 529792360 439687787 467414992 447590552 1000000000000000000 950000746 197169111 738355735 134330470 1000000000000000000 505858285 370786966 163755101 335305580 1000000000000000000 852175554 721250629 392019956 176059792 1000000000000000000 119455486 73689842 119391086 113919695 1000000000000000000 104312602 34002703 70897042 45419229 1000000000000000000 502581845 50932573 153663997 8413908 1000000000000000000 569251194 47120360 20183835 467263709 1000000000000000000 935974669 816348643 533657834 106842707 1000000000000000000 496589286 466188629 435392704 43725982 1000000000000000000 723693302 502965881 20071884 147238799 1000000000000000000 230013969 9587987 3367553 184806727 1000000000000000000 891087764 635105893 290033280 575953322 1000000000000000000 958622766 58935405 846183613 711840249 1000000000000000000 182116904 29793525 93457067 108105399 1000000000000000000 103376034 63909281 67696098 51147150 1000000000000000000 361345873 52764688 123523131 272443755 1000000000000000000 408642825 279726196 165027118 37071459 1000000000000000000 364641854 308033003 337494071 275301704 1000000000000000000 270419806 257969212 163804772 264713018 1000000000000000000 917301621 33522705 305358208 645227888 1000000000000000000 354935107 148711175 74499404 188018410 1000000000000000000 820776575 765521561 321750411 805705034 1000000000000000000 942914418 901739897 184671267 128259037 1000000000000000000 908443054 362509669 464655831 844494032 1000000000000000000 285015085 23561186 186090436 18415609 1000000000000000000 397277371 184331916 59571522 284320373 1000000000000000000 285942379 95754250 22953953 555392 1000000000000000000 743658459 327917324 538810401 59502703 1000000000000000000 960012430 490889912 416674517 817140501 1000000000000000000 929457238 803663003 621997729 504674510 1000000000000000000 330428027 57826264 291003252 199365437 1000000000000000000 751805654 418499330 331047501 438679405 1000000000000000000 534087560 324029893 11726366 312824947 1000000000000000000 434615481 314468584 229891714 107980344 1000000000000000000 349645939 97195088 116966099 304801508 1000000000000000000 903237289 884154965 362161974 487033448 1000000000000000000 573109211 570939972 361596297 174649472 1000000000000000000 352816730 341580397 131954551 208237878 1000000000000000000 231337155 126256528 149541535 143503056 1000000000000000000 516613995 28381025 80958014 505175172 1000000000000000000 357278595 146301502 265327557 271647429 1000000000000000000 239463758 146546279 203087559 163811450 1000000000000000000 213786030 191692696 115628640 155323670 1000000000000000000 158591089 97946208 20188625 41272162 1000000000000000000 883819245 519943318 831530487 103502073 1000000000000000000 822058493 251952752 815371367 101244798 1000000000000000000 239507722 171691299 204166720 734697 1000000000000000000 949689921 300031214 198474754 266858490 1000000000000000000 898141739 531866067 241778327 896893176 1000000000000000000 597736081 221626119 88468797 385510478 1000000000000000000 686273056 659655794 528019555 555488408 1000000000000000000 664017471 64896854 361700954 634648835 1000000000000000000 51920295 30349283 48085269 25490170 1000000000000000000 821105978 161401005 550977422 735182575 1000000000000000000 924068743 420520691 327229750 869803980 1000000000000000000 872886820 5483053 75239385 565645422 1000000000000000000 434303877 98157749 141082388 399924929 1000000000000000000 370733028 51640112 45768429 49761515 1000000000000000000 763727075 664031938 470595074 475250580 1000000000000000000 398319988 94309747 104040133 346140308 1000000000000000000 924875136 142000230 131515970 332179843 1000000000000000000 815859625 410740413 410609045 364864228 1000000000000000000 917309553 45518330 474298021 4179285 1000000000000000000 220517045 220176316 189006324 195202492 1000000000000000000 630725937 145894088 554485122 151285505 1000000000000000000 762703869 579264254 48812523 505390115 1000000000000000000 276894157 165347933 67826875 58107335 1000000000000000000 943027902 582356113 222240066 341114286 1000000000000000000 715889186 310714727 649497722 18859883 1000000000000000000 324552965 15025610 221812224 232425637 1000000000000000000 797596507 186051247 13534756 450573589 1000000000000000000 901956324 94218478 357910403 570230445 1000000000000000000 15672590 3908315 10074032 8694251 1000000000000000000 84848036 30459778 58399803 78041614 1000000000000000000 371436486 221243349 230992129 216182281 1000000000000000000 451256727 130927276 384439522 194028070 1000000000000000000 398839744 18491064 216622095 138470711 1000000000000000000 845353924 312439405 687633558 399644654 1000000000000000000 862237783 343702242 463888070 73863511 1000000000000000000 400445928 158968233 10992334 81548732 1000000000000000000 797893049 732113849 481656153 727524095 1000000000000000000 10239359 6095681 9509871 1409588 1000000000000000000 549298369 79423055 186617065 258889203 1000000000000000000 751157169 27882708 13688545 408993250 1000000000000000000 43480328 29976050 56755 9207923 1000000000000000000 72080889 7723326 4680809 18822490 1000000000000000000 399333002 164016251 331749946 349527587 1000000000000000000 664256941 459602806 509422111 658870365 1000000000000000000 464377244 431633805 440347063 394993785 1000000000000000000 410989029 211190027 324626868 88447689 1000000000000000000 863762765 12127412 661357580 222388651 1000000000000000000 73643733 5694789 14869221 20221330 1000000000000000000 599302832 38154007 212659824 544951111 1000000000000000000 713394295 133426899 301622018 379020924 1000000000000000000 891835904 496298071 616813836 84755915 1000000000000000000 182769936 140839905 53059776 161129967 1000000000000000000 139585237 50002104 27034790 67040872 1000000000000000000 71121226 52121504 47895163 39126137 1000000000000000000 843912844 72418318 336420939 530638928 1000000000000000000 197780269 152029273 11208180 123649799 1000000000000000000 666187119 539567215 297637482 245473630 1000000000000000000 821169775 26228300 797832939 252822958 1000000000000000000 614633144 258094352 169994979 371947346 1000000000000000000 853326753 536810835 598535078 526933952 1000000000000000000 406711218 397537273 101816444 14944489 1000000000000000000 612819665 177915575 361628331 519880612 1000000000000000000 435179821 247134522 348718681 79369163 1000000000000000000 34850621 1446789 19162735 10206904 1000000000000000000 147981966 137840210 106199275 132310787 1000000000000000000 160867751 56222065 157233765 60582435 1000000000000000000 309935104 97818836 187360564 301735216 1000000000000000000 417787583 76681102 345328854 5413576 1000000000000000000 484602709 144707588 193915397 37561412 1000000000000000000 747104480 536545801 149575395 193130232 1000000000000000000 399380017 212731539 353988453 143674080 1000000000000000000 964549118 315024177 905725293 567512247 1000000000000000000 908795552 514501233 600296249 392855287 1000000000000000000 513892076 428486595 198522212 140874099 1000000000000000000 349976793 46540191 178033075 116036880 1000000000000000000 806660251 555244685 495777782 476706670 1000000000000000000 936367473 805546352 857616666 1875060 1000000000000000000 800949112 760530503 64488182 527079473 1000000000000000000 437572911 352930208 242259581 225709581 1000000000000000000 421492238 274330210 180596043 34874947 1000000000000000000 816576686 589989951 250375387 200099027 1000000000000000000 986696891 727488994 366889251 630949585 1000000000000000000 989705510 152631012 781772942 13249042 1000000000000000000 80755674 4940238 72763722 22762134 1000000000000000000 995900049 611300 149563473 35766730 1000000000000000000 818349859 143512215 56849562 303733965 1000000000000000000 906197979 164206687 723420192 627908242 1000000000000000000 164196975 99986460 11434 105525816 1000000000000000000 913633049 443102789 41634716 821192087 1000000000000000000 268439298 163490448 64495078 52966317 1000000000000000000 67282997 6411218 272444 48533451 1000000000000000000 901350985 292522035 380969617 323776006 1000000000000000000 426095992 374756517 354944698 79125198 1000000000000000000 412671936 398585165 157986113 20875104 1000000000000000000 918800262 762226259 40175174 297682421 1000000000000000000 601134442 545868230 393568344 219460208 1000000000000000000 844263313 633471919 445471893 325749073 1000000000000000000 629301142 624495327 136228312 196234193 1000000000000000000 304659082 233402705 235187926 180842231 1000000000000000000 829777041 3493514 482241815 274547776 1000000000000000000 769671565 231374954 215585440 288015883 1000000000000000000 210572305 91831211 89581146 46552666 1000000000000000000 719313925 128735789 650118021 528885745 1000000000000000000 851279186 696842015 64586640 368036782 1000000000000000000 272356701 109325472 2781212 34509540 1000000000000000000 282304046 62308362 67271618 19295451 1000000000000000000 554369816 291474186 454218952 150751660 1000000000000000000 209453296 203778564 131875981 7319642 1000000000000000000 693150225 595088534 122071035 422690775 1000000000000000000 674083869 59237048 307863874 28556678 1000000000000000000 683872827 483518184 213528188 250039582 1000000000000000000 549985646 388365089 144468813 444454021 1000000000000000000 237565629 75066047 172670862 181412865 1000000000000000000 917730440 236091779 278995866 59708929 1000000000000000000 373945936 119902010 189183992 285160702 1000000000000000000 546064173 194578119 290004920 223300905 1000000000000000000 738533321 144846878 593589730 301481644 1000000000000000000 787372258 657579591 258386137 265649723 1000000000000000000 720108581 225042741 666284962 39580746 1000000000000000000 152371421 112186958 10105957 28452813 1000000000000000000 939332041 163214952 618958072 703240215 1000000000000000000 81823706 1253421 54359718 59260655 1000000000000000000 113974275 86413595 110748606 84552647 1000000000000000000 866871460 279890958 229662229 669188879 1000000000000000000 203385814 37977557 101671290 28253690 1000000000000000000 737707413 72641811 238449079 38958831 1000000000000000000 939484601 554597788 149413584 109052349 1000000000000000000 51046150 46485963 15676236 6476642 1000000000000000000 822405248 628482963 627879140 114594381 1000000000000000000 690076722 663057923 539628764 105806745 1000000000000000000 891635891 71579900 16207918 113264744 1000000000000000000 688384259 305343496 569450453 397080406 1000000000000000000 313508118 140078038 240582201 254770542 1000000000000000000 120695493 55710092 86759402 60157479 1000000000000000000 837333697 778351999 170726419 156686493 1000000000000000000 331496787 117517212 66532541 43320833 1000000000000000000 728997050 523727636 497387112 267622267 1000000000000000000 329590514 57189097 185061643 146162096 1000000000000000000 744277580 591157101 630209239 611885946 1000000000000000000 931096757 758290521 674647212 177240759 1000000000000000000 646772446 503427986 328679235 473533929 1000000000000000000 623691473 29198200 19179094 72376407 1000000000000000000 724060181 550095478 444035828 721387223 1000000000000000000 197421527 163723333 67322833 40703067 1000000000000000000 856563723 1282984 448429571 305537169 1000000000000000000 364738410 20402943 134490241 19424216 1000000000000000000 975326152 6053377 848972956 178380157 1000000000000000000 935044159 114016756 729212951 873499611 1000000000000000000 135159181 38865039 107496550 44498327 1000000000000000000 716803298 328139085 280249850 530548247 1000000000000000000 21014568 8965956 5600806 819589 1000000000000000000 895048551 62233520 200339779 804425900 1000000000000000000 404862773 88428507 263638982 262380642 1000000000000000000 404210782 393105826 330356692 319633054 1000000000000000000 737990475 350027203 49548579 120310107 1000000000000000000 441752570 277803713 178779961 157309771 1000000000000000000 653279314 38771947 506720 294018362 1000000000000000000 17024685 5819976 15314918 16195810 1000000000000000000 432939618 47635660 62487890 87009923 1000000000000000000 692193304 388499426 560507676 263889957 1000000000000000000 136307273 124732890 74844726 79573997 1000000000000000000 775651338 98030877 590415073 774339241 1000000000000000000 120717689 100949381 53140003 117190212 1000000000000000000 874500362 243787248 455423616 666426020 1000000000000000000 861674100 702156669 148513426 467588355 1000000000000000000 786732313 311591392 284925314 580871113 1000000000000000000 729617289 156680805 595796999 287737446 1000000000000000000 266477997 236318405 121633952 38922642 1000000000000000000 112106215 18439471 3691373 106567516 1000000000000000000 858173296 357584824 430296445 42383201 1000000000000000000 235993613 148748894 18410357 14425229 1000000000000000000 415301027 170772673 157609253 68273164 1000000000000000000 290239123 80983718 66465741 140395399 1000000000000000000 171784805 134381322 89180899 69229649 1000000000000000000 450166651 411766100 402876091 342553220 1000000000000000000 931470203 328760503 476143879 139654925 1000000000000000000 397978815 162974038 238582001 286157593 1000000000000000000 808324350 75439077 579422354 716031370 1000000000000000000 874601082 3145011 434937080 451592170 1000000000000000000 738868562 137563072 632248740 55933705 1000000000000000000 557080113 417343716 448430502 174980285 1000000000000000000 513462325 498782416 104639569 386018981 1000000000000000000 263689687 37653399 125525395 120788913 1000000000000000000 680347067 496397889 73043716 272230820 1000000000000000000 843933481 564598361 74784736 222793430 1000000000000000000 897589209 631818628 37772937 626184888 1000000000000000000 218864190 10912154 20817135 216604113 1000000000000000000 432453611 27392178 269376831 182639348 1000000000000000000 477316868 370543617 333798109 225283565 1000000000000000000 929418849 312777125 845927636 88845412 1000000000000000000 98817728 95620009 2001048 15104893 1000000000000000000 590096741 569190726 122552968 515330177 1000000000000000000 27934053 3758315 15925205 5895763 1000000000000000000 856005686 114015647 333585204 624245592 1000000000000000000 388496898 246898562 296127495 178937645 1000000000000000000 981137528 717362819 432231064 479751355 1000000000000000000 123837001 2802044 107493888 46201113 1000000000000000000 347539588 13379127 66088285 159384305 1000000000000000000 79108743 45222945 65929467 68530901 1000000000000000000 614921270 181826752 171935093 59763814 1000000000000000000 917072299 685489493 478912161 842965224 1000000000000000000 187900092 9267091 96555405 136534794 1000000000000000000 552976941 167566651 204903939 35522263 1000000000000000000 485076828 435454587 126569966 288783286 1000000000000000000 886511866 205282166 694120765 755760262 1000000000000000000 300204326 268784537 40636145 74517650 1000000000000000000 253464111 164783463 248759862 91374339 1000000000000000000 207996480 179196856 2868029 28735511 1000000000000000000 685200318 655381964 470158181 594633910 1000000000000000000 203650907 19531492 101008106 51766046 1000000000000000000 234560485 117860917 213555743 113566585 1000000000000000000 186845872 10037805 160279812 142122424 1000000000000000000 862426845 91203928 397625804 241518244 1000000000000000000 744833772 426122062 653840134 219318274 1000000000000000000 856755088 467403324 776477678 191196645 1000000000000000000 453480777 315771820 436049906 242241405 1000000000000000000 35497123 21405699 25180017 13181384 1000000000000000000 421962418 352678198 395407633 109435607 1000000000000000000 331572434 63640731 57847502 140707348 1000000000000000000 102143066 1502215 100496614 24966745 1000000000000000000 784816058 499610837 326545329 425253375 1000000000000000000 136235076 61916795 87653776 83101 1000000000000000000 433419856 195669828 3763395 179004832 1000000000000000000 396816102 300440065 356061026 305446630 1000000000000000000 241608852 38327186 209837902 182660635 1000000000000000000 345417689 251097025 97420072 158722151 1000000000000000000 783600509 354938154 106481896 203270226 1000000000000000000 610098303 151374388 329102721 542550149 1000000000000000000 756145946 285646013 612240392 213066572 1000000000000000000 19392998 14361311 19025967 7946985 1000000000000000000 921729152 626618279 254841857 66339699 1000000000000000000 667390996 561229122 363464214 442161614 1000000000000000000 439953493 308763699 220341419 277897121 1000000000000000000 767719226 397284662 558283995 764856768 1000000000000000000 254477620 201223821 114033964 106559457 1000000000000000000 335307846 194685023 47466953 160124034 1000000000000000000 791297072 47603380 250396519 132182522 1000000000000000000 648111401 588500773 364004469 522641227 1000000000000000000 891147 850117 194224 738906 1000000000000000000 30647367 27628079 17092940 28511346 1000000000000000000 386829531 255513770 346684890 64640173 1000000000000000000 603077307 47976451 592486425 566222582 1000000000000000000 372227433 256274365 97942150 246248001 1000000000000000000 786027740 199637497 628705627 350126621 1000000000000000000 549908700 409736805 510504943 12156980 1000000000000000000 934034461 421314039 832299767 869987755 1000000000000000000 471023367 118994376 271398145 137654506 1000000000000000000 250397487 143558094 71133099 206827933 1000000000000000000 975930507 539423955 940562004 337662615 1000000000000000000 983319581 600793371 510749710 519809033 1000000000000000000 774226163 31165674 641324992 299479129 1000000000000000000 262223211 115500635 180051713 97934191 1000000000000000000 374462231 51784515 99216508 150362453 1000000000000000000 962827809 324761839 267523030 490522624 1000000000000000000 894485877 14669979 236782482 497979344 1000000000000000000 305504858 74597344 150421268 216459160 1000000000000000000 729046225 545278920 557326833 639515289 1000000000000000000 683902374 330552335 467622379 207986762 1000000000000000000 169085297 167680333 98483420 149190982 1000000000000000000 250928127 183391310 77435515 64167296 1000000000000000000 457003671 332999989 424436383 91306743 1000000000000000000 516249228 329866984 327367001 1560714 1000000000000000000 945591334 162477603 613679532 870318919 1000000000000000000 263136947 196591926 198719901 23232144 1000000000000000000 781725429 95984851 668844524 366356876 1000000000000000000 200955153 32768202 30298341 189857413 1000000000000000000 655648195 228694054 297244412 137498809 1000000000000000000 540178096 112636807 295026848 150392330 1000000000000000000 544570522 368864436 496523969 241961442 1000000000000000000 152249890 146938990 92321991 51242946 1000000000000000000 661937893 155119899 215139980 549530222 1000000000000000000 670328883 392444067 324577656 560927983 1000000000000000000 962105266 475942141 349708349 661805290 1000000000000000000 197356969 99344734 64053100 173152618 1000000000000000000 543740881 443685298 481174525 39701332 1000000000000000000 703453529 185032332 54260259 384876972 1000000000000000000 153800236 1613059 29295540 33763630 1000000000000000000 399270530 120487826 21609581 212027538 1000000000000000000 340415248 163602597 19458743 272446860 1000000000000000000 994336306 293047729 720942686 738476291 1000000000000000000 26200627 13568404 12412215 13712390 1000000000000000000 983157942 745514064 446461887 341210521 1000000000000000000 154693522 57946896 133560619 119973368 1000000000000000000 198429631 17560482 56108786 102419985 1000000000000000000 964504689 249665427 525758714 918041908 1000000000000000000 201067453 13085123 86217295 196344133 1000000000000000000 326338783 100907746 317035233 186626332 1000000000000000000 326051482 249039179 152382706 224945958 1000000000000000000 809895095 180531677 446669281 163405742 1000000000000000000 328082481 52465451 253021529 6480803 1000000000000000000 358059655 306452773 266149666 288498099 1000000000000000000 636406367 206400834 223752404 306210039 1000000000000000000 148637735 82591125 81340591 119416030 1000000000000000000 436237875 310090862 111247971 43094328 1000000000000000000 836294125 708108574 227367845 407939792 1000000000000000000 182535560 74446318 164477228 172359841 1000000000000000000 996082172 138540681 865885228 803394764 1000000000000000000 792343436 739462797 549350882 762979940 1000000000000000000 107432241 28006279 77773612 11614490 1000000000000000000 805351614 155203779 635844564 514458104 1000000000000000000 147920574 89449340 141415085 82284221 1000000000000000000 720977980 520439790 427669061 84598327 1000000000000000000 451564999 97202409 338756259 401705395 1000000000000000000 41501229 26246015 25682516 36939957 1000000000000000000 770052580 656116466 98936593 712032396 1000000000000000000 237489641 222865239 217419225 120502312 1000000000000000000 749407698 328587534 318919259 484138652 1000000000000000000 356084903 116888265 131178888 172653932 1000000000000000000 612809034 70605196 549275002 530236595 1000000000000000000 787495657 179674370 600502837 688145308 1000000000000000000 845944802 365487969 137338386 93542148 1000000000000000000 777418199 672446412 527838673 586617482 1000000000000000000 788271821 589402365 121033254 609228265 1000000000000000000 144582319 13579037 41037404 75392722 1000000000000000000 824107391 797687551 237958155 740312890 1000000000000000000 707781456 509454492 318156574 384892759 1000000000000000000 667593194 60206602 275448743 282310633 1000000000000000000 781670185 451471865 13988287 717176375 1000000000000000000 469969406 323140043 137989507 194365177 1000000000000000000 622946371 47090216 536296783 432477925 1000000000000000000 638080524 465981109 273330428 497285426 1000000000000000000 994761415 802865865 349192786 78641189 1000000000000000000 601896854 251755593 462653787 70741601 1000000000000000000 525726876 329122840 453526238 40428499 1000000000000000000 541759615 157789068 122389471 300524453 1000000000000000000 732250581 155416878 597187929 246213614 1000000000000000000 673611023 350447871 509338243 292674615 1000000000000000000 344583257 74600918 223126563 335762326 1000000000000000000 572767440 305642380 435824469 250687983 1000000000000000000 313587185 11392618 175288047 185073450 1000000000000000000 757873430 689496987 465118012 684171352 1000000000000000000 83070554 12805004 77722367 44231990 1000000000000000000 82172275 60533536 16710656 60978490 1000000000000000000 486335869 14588898 422905673 436964719 1000000000000000000 507415460 493002677 339371760 460884600 1000000000000000000 440981711 60580957 299013027 275241289 1000000000000000000 919136437 262898359 670655224 798298140 1000000000000000000 974197673 388031192 812089680 318218779 1000000000000000000 891700389 105576913 55289811 751010082 1000000000000000000 221807243 47689214 75071335 125151318 1000000000000000000 649140229 71726326 560988497 114104607 1000000000000000000 853344255 320778170 51665995 775490375 1000000000000000000 617440803 362824505 421055720 399869074 1000000000000000000 837072484 181695419 9983628 800728370 1000000000000000000 187501002 151927419 74998638 14174758 1000000000000000000 291238300 203812835 132888508 134265448 1000000000000000000 887062134 520616591 376252925 828034765 1000000000000000000 491022652 249653108 471823618 27790629 1000000000000000000 359645758 235635846 115250337 194431203 1000000000000000000 885048699 247289396 313031655 244573196 1000000000000000000 927788199 883308599 266671508 703907514 1000000000000000000 255562780 250166711 237653088 195075971 1000000000000000000 104329730 71315378 12471607 33203992 1000000000000000000 454300540 276548641 217657486 240028851 1000000000000000000 830627975 470032439 573527035 228974564 1000000000000000000 270859100 139406838 74309107 9234890 1000000000000000000 469184263 196784883 413093652 439669823 1000000000000000000 987582208 620481449 829795926 244799256 1000000000000000000 111359397 28489103 63838899 81611191 1000000000000000000 37092639 23271222 23101555 33825534 1000000000000000000 581128223 359672337 113159962 417575363 1000000000000000000 491570309 482851171 229208210 62399602 1000000000000000000 569739655 216124456 317317490 538016 1000000000000000000 650303042 49518172 16554611 109929743 1000000000000000000 35993552 15602196 4690400 12041640 1000000000000000000 274634897 218606216 211573553 123395420 1000000000000000000 978159223 555810921 642256702 369237376 1000000000000000000 266354201 261205429 39424840 196846197 1000000000000000000 777346445 152975390 505815826 547263345 1000000000000000000 110891032 79408675 36426203 66168822 1000000000000000000 244144220 75459127 239061771 235358064 1000000000000000000 143526339 33751159 16661017 62528630 1000000000000000000 545727689 369940483 54404870 485618904 1000000000000000000 506278453 227351609 71364099 66938304 1000000000000000000 427578006 88531055 186123162 314522898 1000000000000000000 538412727 294122709 500818663 211086649 1000000000000000000 956603539 789849612 264303878 488979992 1000000000000000000 19642059 8679568 10663983 10777629 1000000000000000000 293138199 130885585 133265897 86500760 1000000000000000000 916476439 847107945 39419403 830973533 1000000000000000000 799194106 404140346 496044779 65214065 1000000000000000000 125428765 67600425 3107989 90229781 1000000000000000000 669462596 31731092 169976160 557907278 1000000000000000000 570598098 507712689 323603254 93443902 1000000000000000000 642926136 8378430 486223081 539529286 1000000000000000000 110357038 107564865 73081386 24258181 1000000000000000000 135205793 61724379 37193964 118879450 1000000000000000000 351908313 146421435 268948930 19079972 1000000000000000000 395914842 32417217 315646626 249493387 1000000000000000000 753797759 457291583 385049772 598697997 1000000000000000000 777269135 308282829 749337811 693017015 1000000000000000000 235233283 86849004 90534619 27323193 1000000000000000000 190396260 88772611 73065305 150783565 1000000000000000000 49555129 26713692 39873072 22025401 1000000000000000000 740785163 11909476 105762007 442127106 1000000000000000000 776825632 305287016 321448398 119521969 1000000000000000000 20993316 17389449 7832684 12070314 1000000000000000000 782079386 600425210 357216781 204677471 1000000000000000000 427609203 201353717 351958660 353451602 1000000000000000000 762199439 424486906 107415236 144622386 1000000000000000000 692308322 443703969 5676045 533257304 1000000000000000000 958260997 663290461 175617287 39629663 1000000000000000000 19380336 14495143 18900979 13222088 1000000000000000000 278841386 111915389 11147169 65052544 1000000000000000000 796692351 554022073 186101322 169980489 1000000000000000000 665967131 214987441 109701514 594811260 1000000000000000000 104599911 78652570 96847098 97420906 1000000000000000000 59943306 53322374 8248488 29969329 1000000000000000000 114737128 68518298 4383799 12795006 1000000000000000000 755456732 261639873 393566596 412254870 1000000000000000000 721804019 38564637 252464593 464729390 1000000000000000000 80569039 45430521 78345043 59690040 1000000000000000000 922350975 719008517 728815918 63464145 1000000000000000000 993617508 331419180 929972352 101162692 1000000000000000000 723572965 201935621 150259007 260285603 1000000000000000000 364318944 290959936 13228964 103604848 1000000000000000000 190511760 90651821 39158990 104476776 1000000000000000000 226900098 169473415 93516443 202275782 1000000000000000000 423912485 154027985 71960527 357099266 1000000000000000000 644262064 80073280 473363948 132428072 1000000000000000000 655288300 167770308 55523511 137732607 1000000000000000000 521209507 502961713 413602084 305373784 1000000000000000000 445424484 240418928 217740839 11990834 1000000000000000000 89744995 74019195 56842455 55876126 1000000000000000000 153653924 95485630 23914602 21598484 1000000000000000000 21475799 2643627 6727990 14761359 1000000000000000000 730504064 425359472 720913569 81848287 1000000000000000000 490779741 208817087 218631444 86921131 1000000000000000000 154902013 6910083 33722835 14463766 1000000000000000000 928555667 63581837 736268162 172766655 1000000000000000000 287686303 174170052 273463705 170097215 1000000000000000000 236914486 82558431 221469967 136633460 1000000000000000000 271172427 96422221 129859016 55567009 1000000000000000000 533456159 268573481 52008226 204743537 1000000000000000000 252365652 249479358 1610063 227900523 1000000000000000000 113421740 102237644 53067665 34921398 1000000000000000000 287211426 19941150 215739052 31494007 1000000000000000000 715250938 84046820 259297620 654239683 1000000000000000000 389399808 323370047 142327675 216600862 1000000000000000000 412885541 33407065 294530684 155749909 1000000000000000000 37154911 35311729 17944539 3551641 1000000000000000000 300527394 117911632 224494844 27623774 1000000000000000000 443744425 111911419 180031816 404931002 1000000000000000000 102796963 7703444 39142012 56202194 1000000000000000000 801612508 623348888 517041077 463708842 1000000000000000000 824300535 108538558 764883112 240366161 1000000000000000000 444759047 160039742 367991361 399227176 1000000000000000000 599268597 459975012 280863135 543720015 1000000000000000000 420530774 276808329 381864473 182428206 1000000000000000000 738144970 182888629 157615674 481180676 1000000000000000000 355886522 185100758 17572620 11245614 1000000000000000000 542183007 255791367 447676802 396334055 1000000000000000000 761566784 569593169 9061234 316028832 1000000000000000000 314760974 250601663 222795851 253338569 1000000000000000000 494954418 200030172 342191246 483045310 1000000000000000000 926937807 301808962 511713957 817858133 1000000000000000000 849031837 80294209 521920196 6939811 1000000000000000000 691414578 388809556 627540281 273312391 1000000000000000000 684639833 285096063 292688326 421464715 1000000000000000000 43311414 31437469 32876633 24953713 1000000000000000000 606997260 182829341 335697616 201374525 1000000000000000000 388744953 165388110 66787439 292801205 1000000000000000000 687044948 642034693 46841330 23287719 1000000000000000000 316482405 132293939 64585478 31598245 1000000000000000000 515037990 278695748 369137554 154959150 1000000000000000000 562627768 267423411 330886003 453337987 1000000000000000000 880222719 200093825 766047675 160718624 1000000000000000000 461006919 158373256 45551553 75125904 1000000000000000000 380795633 226191684 35217735 158780945 1000000000000000000 324520457 36448989 252598766 53272151 1000000000000000000 911947279 558080874 551416757 683261486 1000000000000000000 126884268 112060030 99107884 11843632 1000000000000000000 168732911 76051383 72698141 167711652 1000000000000000000 875780680 495279619 793521357 278712167 1000000000000000000 635154069 408893897 263605041 609964894 1000000000000000000 650890519 593079121 80029584 489691942 1000000000000000000 784529843 275424053 361611233 2815549 1000000000000000000 86761863 80018886 4510057 19394491 1000000000000000000 144852171 73026739 77882192 131266858 1000000000000000000 392592262 281699848 316844452 67378019 1000000000000000000 881901101 153760393 276286223 152383233 1000000000000000000 673062477 289557886 27915651 566673811 1000000000000000000 227726578 145782183 208093198 208177045 1000000000000000000 153756860 34539559 132610877 43787109 1000000000000000000 331789791 192069473 51431401 203999440 1000000000000000000 928470492 880179211 355182861 429412709 1000000000000000000 247899574 117490626 129687832 93003014 1000000000000000000 133593885 38410817 38480721 54764379 1000000000000000000 262084750 32660129 112429161 120949335 1000000000000000000 828045385 755254942 471145670 15745655 1000000000000000000 661134145 43238836 145237319 386888725 1000000000000000000 75063767 56505051 32856725 29240611 1000000000000000000 398908522 185129517 371143126 354732833 1000000000000000000 904714754 491520209 97283792 421161613 1000000000000000000 659397796 318465974 16133519 243526792 1000000000000000000 395735281 340883484 330991705 379078678 1000000000000000000 330739861 86367504 312604305 180784405 1000000000000000000 122893348 84764356 86388224 107211829 1000000000000000000 386748687 90821136 5021694 335434738 1000000000000000000 256783895 148213249 221390118 176867158 1000000000000000000 716913868 185846620 561395392 679772516 1000000000000000000 770256996 240809477 566200003 396154456 1000000000000000000 730895809 589628193 443591553 582598864 1000000000000000000 564301264 512831712 375355337 135850068 1000000000000000000 785279101 515902608 154278245 784803394 1000000000000000000 590111915 530204890 341451413 44000113 1000000000000000000 165165347 21023900 33253007 87776595 1000000000000000000 83732770 60197344 74750695 73618309 1000000000000000000 413859249 151215443 350401654 255246288 1000000000000000000 209262084 72842751 104367487 178892368 1000000000000000000 526514139 25831017 343280812 249082482 1000000000000000000 521874437 172518178 263644706 358135876 1000000000000000000 155310121 115384953 80205074 38465497 1000000000000000000 164508393 86696632 23374472 76213430 1000000000000000000 893641664 726405031 797879922 876547391 1000000000000000000 257992786 209404570 176104045 39017636 1000000000000000000 519413055 438563318 191419821 388238404 1000000000000000000 727937889 720017313 627570751 588470836 1000000000000000000 125507949 61046074 64614790 24551281 1000000000000000000 170344268 168669480 108762177 79549727 1000000000000000000 823546455 288986273 802910858 269272909 1000000000000000000 354418272 308887626 12903431 149615277 1000000000000000000 868817801 39864354 367726838 403387399 1000000000000000000 215240980 133637709 13953756 20907097 1000000000000000000 718910534 718857797 7163826 527000838 1000000000000000000 437967227 430153468 15465519 327414927 1000000000000000000 694798086 297309319 311048685 471035713 1000000000000000000 974519123 395469826 89553976 732485071 1000000000000000000 114833729 31079023 82975967 62488630 1000000000000000000 175994916 172741268 37137770 32628851 1000000000000000000 843612909 672507592 124992896 812115008 1000000000000000000 445469005 15444655 274624002 101325206 1000000000000000000 339468051 20791169 140359954 108358724 1000000000000000000 786164259 680942688 526732680 452747736 1000000000000000000 854498910 162450906 610394734 307389347 1000000000000000000 822741265 545746927 167927970 60396613 1000000000000000000 167453235 2299062 37633969 58347749 1000000000000000000 869776632 684849793 639559733 171766632 1000000000000000000 489879683 345870210 197413959 35998223 1000000000000000000 230292713 112184280 152294186 83363470 1000000000000000000 646083579 387528120 515060379 38188784 1000000000000000000 971479651 2513226 479133288 203143546 1000000000000000000 208400735 90339329 88724518 136617991 1000000000000000000 798254066 681036725 690897080 390041578 1000000000000000000 913738408 156014582 304577080 269408816 1000000000000000000 182077007 126561154 163991642 33994040 1000000000000000000 272990514 39911926 42999080 212207140 1000000000000000000 365347136 79716685 322482454 140779259 1000000000000000000 773915613 282495941 304896946 304161724 1000000000000000000 275527317 144383349 214248784 251167064 1000000000000000000 62547673 46173765 354186 51821979 1000000000000000000 401996422 278413464 51579750 106890534 1000000000000000000 829591933 629755251 368373537 519983258 1000000000000000000 502553111 261024898 9206917 201875892 1000000000000000000 825408451 542187459 624887170 332397849 1000000000000000000 832085971 54182592 95148978 535936460 1000000000000000000 685777732 677518611 104072124 652451382 1000000000000000000 40964318 38671594 36080117 7836361 1000000000000000000 585045937 374443191 231151824 340089215 1000000000000000000 612248895 384314985 133232033 86874123 1000000000000000000 603249796 442791561 481612774 429285753 1000000000000000000 75838375 61872181 45676027 19326969 1000000000000000000 85978786 85651503 11354746 45134534 1000000000000000000 540241690 432762363 183667833 293573158 1000000000000000000 503547167 380783553 146522651 152594066 1000000000000000000 965806366 788763824 633393735 386846804 1000000000000000000 64988296 28729856 49053588 42378429 1000000000000000000 361936815 227331804 180429501 173396772 1000000000000000000 938633758 849856771 292062003 610513720 1000000000000000000 913900957 574394868 376190137 827558708 1000000000000000000 16353302 11941532 4937963 5937439 1000000000000000000 393872652 149667206 225997082 342055999 1000000000000000000 513545357 169880637 334815708 367057573 1000000000000000000 112069595 27814381 95807104 34658936 1000000000000000000 61326623 8788721 15146836 33295269 1000000000000000000 537013682 327928138 536847634 146551969 1000000000000000000 410672987 334702228 56545904 175075159 1000000000000000000 803494929 788246041 413896708 382638169 1000000000000000000 710019980 530865462 479719549 561171357 1000000000000000000 626198835 85006991 362232153 136720113 1000000000000000000 671127339 552289764 509115411 482862138 1000000000000000000 728757913 671590101 426977824 655450171 1000000000000000000 756829328 133461257 19820125 286357465 1000000000000000000 253829941 39045996 205618672 161889794 1000000000000000000 431640606 209513229 420691730 427719936 1000000000000000000 617648300 1292904 140484280 259583834 1000000000000000000 670102005 440939776 353321294 518518197 1000000000000000000 167304621 290225 100605236 25524798 1000000000000000000 940420859 692735895 920766966 456109978 1000000000000000000 948652371 133236450 499064824 849553501 1000000000000000000 11920943 6699991 5183676 3630827 1000000000000000000 227123176 109916993 117709652 193445748 1000000000000000000 316606405 232547431 301992492 246192629 1000000000000000000 471019520 361882108 456965144 310717666 1000000000000000000 417536458 10217258 399667530 287783522 1000000000000000000 386598912 251480669 343781978 44929003 1000000000000000000 380459976 141217472 379346572 338132188 1000000000000000000 756658479 112348455 731328052 141312092 1000000000000000000 20295217 3515208 8293942 9535238 1000000000000000000 769304698 527662545 347661290 141656148 1000000000000000000 768248506 637847830 302028955 674824099 1000000000000000000 907053680 370315511 559350438 684328026 1000000000000000000 365496299 16876360 344726466 285717470 1000000000000000000 720975988 421409802 277789126 573560893 1000000000000000000 111070020 10142515 67511632 88428556 1000000000000000000 172367810 16621419 55914573 146661941 1000000000000000000 51969645 19847967 45736937 35581515 1000000000000000000 442481302 366048701 272314986 306141869 1000000000000000000 497731444 15533603 154405718 275755696 1000000000000000000 528914517 45974852 253891398 147100040 1000000000000000000 807372591 68220625 352026466 291905547 1000000000000000000 935750744 495292276 335385179 589207653 1000000000000000000 414818955 357939878 344221568 17767154 1000000000000000000 773830691 113669545 289976711 683813218 1000000000000000000 378486018 325684937 335801844 366577931 1000000000000000000 381269007 327186729 9929616 364449715 1000000000000000000 134766337 10799275 11161141 134648771 1000000000000000000 648839362 432212325 553076452 35775245 1000000000000000000 319868348 108449860 312037286 295613569 1000000000000000000 926000371 168481005 704909970 314584407 1000000000000000000 542463614 474756137 116103773 298270963 1000000000000000000 228920471 118400186 53460199 74233332 1000000000000000000 640408782 514443151 547898381 317040295 1000000000000000000 547387172 196847922 182978148 459461767 1000000000000000000 603109661 499365886 591464097 93053778 1000000000000000000 462821770 386254442 286994947 271756290 1000000000000000000 729848276 543283508 284699194 583125051 1000000000000000000 882466621 416789579 421050658 395329551 1000000000000000000 864489053 370748497 394732574 613002971 1000000000000000000 622351885 132123769 221575717 188263982 1000000000000000000 470869918 37525040 366440983 303479515 1000000000000000000 482602760 183132079 93958141 108379850 1000000000000000000 922213701 650091095 478578603 293090997 1000000000000000000 429311664 243095044 410830856 367221265 1000000000000000000 773008662 622931817 265105945 89137130 1000000000000000000 8061262 6241475 656061 2403033 1000000000000000000 550520942 333923739 172919920 17215479 1000000000000000000 201423760 23677161 93960561 150346393 1000000000000000000 846182175 342822220 621915968 575923318 1000000000000000000 855850744 262120131 71750890 51336932 1000000000000000000 335644009 146572151 3487821 77016741 1000000000000000000 532981558 128059989 516753091 325591222 1000000000000000000 887546297 93834142 169382201 223895564 1000000000000000000 358539168 138961921 7274123 352586208 1000000000000000000 159490186 29300318 15376623 51885279 1000000000000000000 221512510 57756702 60189070 1073878 1000000000000000000 533023121 250554223 424766709 523942571 1000000000000000000 109470662 61883283 36669075 26590079 1000000000000000000 27893623 22908470 3551747 15041897 1000000000000000000 265999055 264383258 192850852 186162914 1000000000000000000 820695009 168802728 135566517 555718571 1000000000000000000 745561359 91434039 683358451 340600676 1000000000000000000 13142268 12925793 7812461 2676363 1000000000000000000 837174794 354140250 791946411 553283265 1000000000000000000 537261357 424266023 142136291 394995532 1000000000000000000 655822341 92907414 242873107 78264305 1000000000000000000 517505959 129604595 23744446 195720526 1000000000000000000 681661998 552289460 101139151 316784502 1000000000000000000 267905232 18826740 117020018 152809762 1000000000000000000 848022897 744052442 775625999 6649185 1000000000000000000 959382695 333253622 144630063 298665870 1000000000000000000 56050750 12521930 24584556 37025183 1000000000000000000 839419489 304539945 746766138 106665701 1000000000000000000 481585851 277356419 77067515 266091543 1000000000000000000 122560351 35729662 109586923 10077289 1000000000000000000 206737508 51224401 3967794 137893891 1000000000000000000 987658918 214254538 614481236 107778732 1000000000000000000 230953016 152957223 125125301 82300793 1000000000000000000 60818778 21421961 42981694 55500971 1000000000000000000 87918024 70814257 7167346 11970906 1000000000000000000 795614363 11210459 356859052 140400550 1000000000000000000 157819653 57158265 107571326 86570699 1000000000000000000 448827912 136439552 232008939 413192312 1000000000000000000 104423534 73426179 76542469 56865414 1000000000000000000 531434722 342935385 205175311 355647023 1000000000000000000 22465136 617610 5863968 9295535 1000000000000000000 826253191 394274388 632921324 242944314 1000000000000000000 98660684 26037567 35319676 84464098 1000000000000000000 667136323 481834637 202822168 46391213 1000000000000000000 739966845 331288086 208392874 354947637 1000000000000000000 258634100 55659633 27319567 29272181 1000000000000000000 195902287 131469033 31219220 130198610 1000000000000000000 687999439 522766205 289005557 233701134 1000000000000000000 82264320 18073873 43847124 59921053 1000000000000000000 376503271 31606189 298770806 155709951 1000000000000000000 524814016 297905768 45008494 493099458 1000000000000000000 498666964 129181801 291736067 43399973 1000000000000000000 367108915 53844270 341246094 291562273 1000000000000000000 20277310 3763976 12278519 8992283 1000000000000000000 71973108 41991420 41803048 13966567 1000000000000000000 938471015 172266461 927034527 348163026 1000000000000000000 685285667 540817113 474901319 322982457 1000000000000000000 470010872 235446969 213330499 54848528 1000000000000000000 174634081 29465701 136475359 173066184 1000000000000000000 189907005 187528433 57692294 136836421 1000000000000000000 145086874 33835960 129401515 129448882 1000000000000000000 807153316 806035235 738817587 381381932 1000000000000000000 126458321 46083355 26373656 30845614 1000000000000000000 741873272 241320996 356394845 211083337 1000000000000000000 757413884 166713811 272860896 704013447 1000000000000000000 108988931 34512677 104990020 63492046 1000000000000000000 859376954 690550178 681687697 96811715 1000000000000000000 541025491 340259136 121995781 245836822 1000000000000000000 600395034 248217447 552440826 100829638 1000000000000000000 200223891 15569235 174336885 95933165 1000000000000000000 243411602 2300133 192375358 48336170 1000000000000000000 39786912 542701 34514529 23885763 1000000000000000000 570057415 259989072 455408995 299648812 1000000000000000000 733964782 454739072 562788527 494967220 1000000000000000000 123059485 1782909 68513425 75691475 1000000000000000000 916663279 304350377 49416442 874321349 1000000000000000000 695285362 473454155 314656977 310945896 1000000000000000000 931565195 524083142 723901277 804342600 1000000000000000000 608718016 71809048 177858261 549071893 1000000000000000000 210725695 154442426 76034338 181463566 1000000000000000000 849834175 60444062 806221069 583261846 1000000000000000000 840862467 475666250 396274322 741333506 1000000000000000000 303869059 129212194 268473977 69797069 1000000000000000000 525086800 14036178 324360665 70423662 1000000000000000000 301726386 54986316 139856134 116843034 1000000000000000000 917117606 737709611 570134983 332538251 1000000000000000000 855253782 251165802 496676427 195270041 1000000000000000000 121083425 75648816 16941681 61598851 1000000000000000000 382360074 376554090 24573996 377385115 1000000000000000000 117463322 79927674 64721214 56418302 1000000000000000000 83316156 64369311 20598714 23899997 1000000000000000000 69553795 54025885 52859127 27333310 1000000000000000000 840951378 282430806 203265892 751897572 1000000000000000000 225463281 215845135 124813896 160632920 1000000000000000000 824898305 237723243 557769153 495668395 1000000000000000000 576113769 408970650 213939555 452227376 1000000000000000000 880802810 347230190 80487674 846312392 1000000000000000000 298440207 79155678 226772107 268542064 1000000000000000000 834221027 714230290 728844674 596918983 1000000000000000000 168579676 102601938 41945561 29082178 1000000000000000000 728857409 700070847 514759648 26694419 1000000000000000000 353409927 91396464 245036089 183317115 1000000000000000000 491888129 441610042 453979425 258524570 1000000000000000000 49895440 46167998 21957567 36937332 1000000000000000000 693832754 620594865 222890653 185418077 1000000000000000000 816045862 721165321 215491954 609072063 1000000000000000000 306731494 145914192 42819805 115376067 1000000000000000000 751092568 225993225 611214439 49796608 1000000000000000000 688622347 412117431 256823135 436737325 1000000000000000000 698164727 343434474 131258128 383805820 1000000000000000000 887813060 349175547 346686089 334707438 1000000000000000000 479165298 217886803 93388595 108738193 1000000000000000000 605262618 447335943 135116431 73791375 1000000000000000000 896279072 213398050 518546361 767854147 1000000000000000000 863017875 765372323 492904670 491846407 1000000000000000000 327092335 324749955 171559544 220994459 1000000000000000000 107020319 10194676 74844483 97422276 1000000000000000000 75752067 33496258 17379534 52517241 1000000000000000000 409021009 115663427 85084733 52669908 1000000000000000000 917576691 558607838 771612640 716462061 1000000000000000000 573962217 126701579 276666271 546201611 1000000000000000000 834016854 756456315 163318451 605291323 1000000000000000000 612747441 336415532 72731501 560417027 1000000000000000000 150803060 124194081 67894391 76939316 1000000000000000000 810939470 153978242 222791729 723480503 1000000000000000000 572990978 263891129 292623401 549533944 1000000000000000000 574382669 105594536 564587590 434015243 1000000000000000000 465763141 57479668 111548078 276596459 1000000000000000000 425088416 9447092 360368307 397509982 1000000000000000000 447112673 280594990 341260234 13628008 1000000000000000000 14206123 2424404 2868648 7590569 1000000000000000000 510762554 480578115 122047350 227457348 1000000000000000000 356485312 220120759 63148898 241677725 1000000000000000000 961750515 758943525 54639862 589799011 1000000000000000000 892369088 393783167 449491040 71798059 1000000000000000000 918908302 115260718 534660429 72812569 1000000000000000000 130346498 60486792 20346941 17626218 1000000000000000000 518760079 301148879 287429747 472546401 1000000000000000000 827462750 599960020 212229355 405468991 1000000000000000000 389578476 104815325 216253335 199730008 1000000000000000000 571793917 315091134 496507616 16604862 1000000000000000000 895482499 336497234 112067415 497277381 1000000000000000000 510406625 294804395 451581835 458620978 1000000000000000000 947070979 533947153 274951263 301036747 1000000000000000000 640332708 350704915 230292840 210877897 1000000000000000000 871787390 715482832 93736039 146678131 1000000000000000000 856603370 477510122 605692210 805290990 1000000000000000000 622034617 587044521 250796375 104766036 1000000000000000000 826070141 484631373 163163417 658762118 1000000000000000000 425937234 151437180 169842579 309848921 1000000000000000000 268512096 188141384 129476692 193876361 1000000000000000000 390772409 194195700 363458394 275957744 1000000000000000000 711091607 611506640 258382599 303842041 1000000000000000000 684987493 211164908 249570598 213888177 1000000000000000000 33176682 5382382 14121667 8796917 1000000000000000000 257438718 131611155 250344675 64024972 1000000000000000000 658939059 391428390 424475348 646606024 1000000000000000000 819892720 428042051 718651458 238359267 1000000000000000000 945270708 747611989 66320087 693835118 1000000000000000000 411059407 30369902 327042260 234520929 1000000000000000000 959966437 575933663 845758210 659884361 1000000000000000000 255560109 27956400 28996123 146525617 1000000000000000000 28147151 11530461 12370715 5118100 1000000000000000000 960562696 515657201 936103716 496424199 1000000000000000000 542683805 472704895 337621028 44459209 1000000000000000000 129705738 25582501 78876597 61703421 1000000000000000000 890470073 117993086 190635785 792925879 1000000000000000000 106073462 21280176 42968757 88602289 1000000000000000000 445075158 94405241 370499558 378068671 1000000000000000000 469296284 113728755 388106376 244344058 1000000000000000000 37932140 30988857 12082234 19086443 1000000000000000000 988237564 853772894 380621548 334374316 1000000000000000000 77219117 25508665 50562746 49767653 1000000000000000000 10780058 1114187 6541404 2207687 1000000000000000000 871948473 409707464 837901598 733408636 1000000000000000000 340132072 210935448 120159051 89161611 1000000000000000000 378307525 156845121 294470726 297931358 1000000000000000000 534460809 355025032 473775956 386951323 1000000000000000000 891256648 608960310 551762737 33324231 1000000000000000000 95392025 33665840 34667686 89347599 1000000000000000000 897689141 826713936 695554216 85912713 1000000000000000000 857739631 779563582 837618249 89352760 1000000000000000000 636769399 505638184 257490456 220351247 1000000000000000000 993871059 105157128 930157695 904558672 1000000000000000000 481293309 342254965 303062825 412829667 1000000000000000000 435091588 56228761 199729643 158512198 1000000000000000000 197369854 12572634 25057983 40948594 1000000000000000000 379664162 121795511 259987905 138736692 1000000000000000000 134146414 1120845 131266663 102663550 1000000000000000000 177322170 81374510 7726964 115567396 1000000000000000000 866479539 208335887 386608312 592759791 1000000000000000000 805963663 377050152 463191841 464920641 1000000000000000000 295022351 551776 188222400 220936897 1000000000000000000 818736750 571678755 277032825 739927471 1000000000000000000 12572590 2971572 3063230 3579416 1000000000000000000 301799155 173122987 218669488 222751611 1000000000000000000 698953193 208049420 272934801 238167094 1000000000000000000 559866239 160914973 393453042 302926398 1000000000000000000 588675986 23505113 443386553 243525449 1000000000000000000 513151117 265090245 189133239 76978610 1000000000000000000 861041940 347336549 490788858 164612802 1000000000000000000 674963860 595870292 581656667 201640463 1000000000000000000 433008512 299944101 2276508 49789501 1000000000000000000 42786705 9973070 30083107 8944129 1000000000000000000 956591510 327120870 552159133 707495901 1000000000000000000 691727433 536120367 201185042 102390471 1000000000000000000 28101869 806774 17027628 1430686 1000000000000000000 728172987 296328896 460241273 510283758 1000000000000000000 940291277 808356462 301121119 386471602 1000000000000000000 974313696 690562992 247975069 241149028 1000000000000000000 365353942 159119643 318870934 63422058 1000000000000000000 83931476 56086495 41824442 42020713 1000000000000000000 451391772 278447531 447079172 199411316 1000000000000000000 835043853 261481035 33377806 678767087 1000000000000000000 698933760 324188076 250104882 176513376 1000000000000000000 394830178 158035390 278889993 140304384 1000000000000000000 900182550 801850255 467790908 343843999 1000000000000000000 433347713 14551702 293356767 172843695 1000000000000000000 11199309 1790433 9798709 7806703 1000000000000000000 600201778 168494121 474426144 339726531 1000000000000000000 818474746 290919983 56323449 21739826 1000000000000000000 631088569 597660860 64752229 156307236 1000000000000000000 625484105 545706916 601910952 137938752 1000000000000000000 791949109 8045364 679406234 73180319 1000000000000000000 926747018 373009183 918591190 224230532 1000000000000000000 916717232 658791898 758924661 183044916 1000000000000000000 533576631 72340866 1901586 324935988 1000000000000000000 197334709 129846736 189071082 95059415 1000000000000000000 602265774 239276913 111489370 221756583 1000000000000000000 853869906 808504926 795640535 686913207 1000000000000000000 41308345 28306772 16002140 25553169 1000000000000000000 757509527 385475668 145097935 732667981 1000000000000000000 447815336 105028326 397691103 266628021 1000000000000000000 558440951 293306344 280103626 61031684 1000000000000000000 18618474 7950352 17971508 16904717 1000000000000000000 382593691 26277447 11729550 3507138 1000000000000000000 473339802 328194274 208287251 346771751 1000000000000000000 773156647 671886256 74703380 666890742 1000000000000000000 13284364 2533467 8597570 3479360 1000000000000000000 194937685 153000630 129984610 131535001 1000000000000000000 182179544 122939914 181006825 113526609 1000000000000000000 272383858 40082518 205790725 111418292 1000000000000000000 684134044 293408789 155632255 572814937 1000000000000000000 423660093 279816919 146366410 242819975 1000000000000000000 799854265 495747516 555441282 413122239 1000000000000000000 961913677 870755659 883997581 412741447 1000000000000000000 598671004 83739764 589061995 198111718 1000000000000000000 103249197 44583557 76429101 30189976 1000000000000000000 979527171 196466991 848820513 299265454 1000000000000000000 161813656 8853574 155673918 46555995 1000000000000000000 275646044 40737715 150800296 177008182 1000000000000000000 830326505 247182663 351649011 651925120 1000000000000000000 245899673 144502466 210149987 172797607 1000000000000000000 601244463 528903488 61755733 460063648 1000000000000000000 163284469 138487689 29897092 95889412 1000000000000000000 246326308 11150024 17307470 55297175 1000000000000000000 175506272 4512989 48789833 76559006 1000000000000000000 700403155 454185608 182810768 645898680 1000000000000000000 706164643 120882173 590115917 401183774 1000000000000000000 304173968 294486138 177380126 95422424 1000000000000000000 316917986 218828290 268458700 201785689 1000000000000000000 916517893 99047680 28949852 389015879 1000000000000000000 959557974 447827863 545087573 704863778 1000000000000000000 461142933 188918715 27927351 44382253 1000000000000000000 186280218 127260627 131602295 43718936 1000000000000000000 959476479 463316043 888814001 136007357 1000000000000000000 220221780 65023102 167826436 209326538 1000000000000000000 756364482 30561622 652333167 473847596 1000000000000000000 296659118 68382409 16252220 183429324 1000000000000000000 996538513 406735821 728291148 402955786 1000000000000000000 346505178 49128690 268504058 197103697 1000000000000000000 252402434 250146904 197224918 145797484 1000000000000000000 603134667 501186454 592664104 426934538 1000000000000000000 561256269 264394229 395217459 335119126 1000000000000000000 634515477 358811271 396967969 366749876 1000000000000000000 992612810 112915387 499270559 59038141 1000000000000000000 20354507 5440401 9189473 19875224 1000000000000000000 351459849 155263546 185545390 334734083 1000000000000000000 502943049 298873512 288746018 223473561 1000000000000000000 843484600 97884153 675388697 303196117 1000000000000000000 750821120 239242993 185002527 189041529 1000000000000000000 940619122 931604743 864175393 398999092 1000000000000000000 98567121 74270760 36376332 53585643 1000000000000000000 429323314 48482302 147729972 327924639 1000000000000000000 95705171 48504469 5896822 85162932 1000000000000000000 637989013 164782569 426035200 110810899 1000000000000000000 640766927 165996110 453431309 541288256 1000000000000000000 512327376 309707161 147788599 387615107 1000000000000000000 482210218 109928867 265662409 374056680 1000000000000000000 10063880 3964454 4790381 2536432 1000000000000000000 226956052 110086253 66944252 8282251 1000000000000000000 965119322 234458851 259714263 786227467 1000000000000000000 296251750 21882674 251835222 30927110 1000000000000000000 920526383 594959927 146928787 5086494 1000000000000000000 891354218 5053979 788495249 333777770 1000000000000000000 375966397 33439764 186993474 159631593 1000000000000000000 120686188 116746588 101203812 58593715 1000000000000000000 760072976 399023982 450767145 524570781 1000000000000000000 245729749 237552570 115632645 72588723 1000000000000000000 486848907 98746814 325361613 480005641 1000000000000000000 257938064 83757689 68592143 78931014 1000000000000000000 917390683 755690132 569137480 537762671 1000000000000000000 972543464 790271561 518730011 947033450 1000000000000000000 498661528 277051907 133711711 288330269 1000000000000000000 708504173 19136519 454501330 555565490 1000000000000000000 940965852 295476210 911114126 825720745 1000000000000000000 637164169 20901959 549522653 75614492 1000000000000000000 168064767 30728024 138343134 2019733 1000000000000000000 433855899 211735171 118184451 118351703 1000000000000000000 183071804 179173534 94421546 163872306 1000000000000000000 459088947 361828181 4004734 439697789 1000000000000000000 242058510 223176077 103845314 115612674 1000000000000000000 44217646 12048895 23728105 7054478 1000000000000000000 535524452 400645796 220851456 193286776 1000000000000000000 404780396 82120388 401664128 166393178 1000000000000000000 903570520 735004602 363240569 500682819 1000000000000000000 547974614 454230283 350062412 359907454 1000000000000000000 393847140 144830990 361066036 375806813 1000000000000000000 716047193 637038617 128527602 602616894 1000000000000000000 493399958 247559796 49520108 34035745 1000000000000000000 135217424 17619977 65503132 107363286 1000000000000000000 605532721 322457537 546753855 178477262 1000000000000000000 816317960 207569128 331578157 532518889 1000000000000000000 595262843 438977644 572278193 20742713 1000000000000000000 515376692 40991715 427555530 4160956 1000000000000000000 894759180 730876345 242374444 792391695 1000000000000000000 78445972 6900543 40127552 2238333 1000000000000000000 125798750 58812488 40384016 99181435 1000000000000000000 67927644 32368830 25482532 51152166 1000000000000000000 378649213 101991560 278396125 233067707 1000000000000000000 993980655 293047944 489081244 10691270 1000000000000000000 996004154 490255696 577358999 139012157 1000000000000000000 106118418 12659239 69394182 51496175 1000000000000000000 329787145 222177061 98735272 236706512 1000000000000000000 12425991 5082787 6678915 2194409 1000000000000000000 749171502 197248291 99408751 499280037 1000000000000000000 20017505 3596865 4550058 4363944 1000000000000000000 129455812 28024756 97837014 111739770 1000000000000000000 457475532 379519893 246051911 411550399 1000000000000000000 351694795 32141899 275321119 90293991 1000000000000000000 540236263 417137180 349918527 168343896 1000000000000000000 398955640 194864278 345108316 13701650 1000000000000000000 49530584 38045156 36809799 5442303 1000000000000000000 157874214 2431136 28268784 31661236 1000000000000000000 215433471 126223747 8826104 167453207 1000000000000000000 315918334 307562901 34395107 89280783 1000000000000000000 660423351 407221837 559637648 529762572 1000000000000000000 160309487 109449085 64654857 141325232 1000000000000000000 260017282 185539836 143113435 205537560 1000000000000000000 784212594 632789699 312968556 545830666 1000000000000000000 935209662 794569307 288416220 147148532 1000000000000000000 836256436 517809658 536629680 412601828 1000000000000000000 676152952 546917830 349843091 134280336 1000000000000000000 599845849 525911421 466893314 233348648 1000000000000000000 522461839 386299337 453391413 21776485 1000000000000000000 332444627 73802588 196690049 265588809 1000000000000000000 670365469 213161417 444467480 296618307 1000000000000000000 75471383 71458944 45706590 61999349 1000000000000000000 833764207 136029413 181866019 827511531 1000000000000000000 339084801 333221386 332714745 129116 1000000000000000000 88132911 69389432 80397501 33418646 1000000000000000000 631368605 432761925 173640078 55244171 1000000000000000000 976591877 157883912 597793385 110004889 1000000000000000000 76388591 61204442 30852687 75461340 1000000000000000000 885057648 76010149 598877609 274813245 1000000000000000000 906619823 561899842 405188395 178047457 1000000000000000000 284343264 156671715 139906511 107141751 1000000000000000000 393720169 41669112 280663381 151843776 1000000000000000000 932867067 876341759 505797459 446111709 1000000000000000000 269331676 159597441 81267086 80682552 1000000000000000000 338296676 236153279 299745545 311913342 1000000000000000000 383898195 365441676 316529255 321092144 1000000000000000000 903189733 902916945 397190814 474763051 1000000000000000000 966398535 866676759 521371959 872636401 1000000000000000000 496674043 312162545 456671249 229654321 1000000000000000000 683918182 360206686 12398612 336514461 1000000000000000000 32352711 25866984 16439574 26083214 1000000000000000000 801852792 777086274 168215330 368390037 1000000000000000000 52822294 51319813 32903501 19234517 1000000000000000000 121152707 96321628 17413829 103614238 1000000000000000000 684909150 619884410 359385578 404207381 1000000000000000000 910902120 167566021 842523088 231738855 1000000000000000000 83551095 9732606 34803906 8491423 1000000000000000000 97366382 90904901 40896225 70446630 1000000000000000000 513416452 506294838 344410147 139901394 1000000000000000000 795407192 52776998 613099987 703543994 1000000000000000000 708066772 602161903 332112054 482658775 1000000000000000000 783483098 156169815 147256905 203589013 1000000000000000000 924484078 477024931 156334626 3430819 1000000000000000000 86178583 37898068 28516917 76777981 1000000000000000000 85911602 3911611 2306428 830183 1000000000000000000 69157486 66210919 39357136 39832326 1000000000000000000 599762343 393961564 390781425 422193066 1000000000000000000 64056765 46421923 33219866 31917784 1000000000000000000 294386401 118011974 77260357 26883107 1000000000000000000 504669843 353237490 218654034 274838045 1000000000000000000 911657436 76962012 455060216 624756614 1000000000000000000 982779135 2586405 698811092 747401588 1000000000000000000 958355242 867551334 728360777 762948852 1000000000000000000 352048998 294726967 244255005 275845844 1000000000000000000 774529960 458680086 655405828 168366681 1000000000000000000 941238057 644830508 9026981 117522707 1000000000000000000 488139663 146640586 20907991 148768663 1000000000000000000 129473963 123537288 73953589 99721329 1000000000000000000 150226765 43674917 25070442 139041798 1000000000000000000 107964951 107676211 84229821 97744279 1000000000000000000 364762289 363518772 220907863 325730789 1000000000000000000 422901238 240392289 328247758 241554892 1000000000000000000 198488360 172630262 51241337 44695629 1000000000000000000 314501522 82172497 302725049 163100402 1000000000000000000 996329725 936752553 634325644 718079335 1000000000000000000 522888479 149131897 67114834 492186163 1000000000000000000 89117011 50205222 77257520 25892836 1000000000000000000 446945343 244918276 624151 432912414 1000000000000000000 580567240 197895081 375430881 182674860 1000000000000000000 636987841 275914821 34918644 636014440 1000000000000000000 312921430 218023052 285988088 155509420 1000000000000000000 558693596 311164318 408293658 153677234 1000000000000000000 888034373 494259016 330547084 376750564 1000000000000000000 37551770 26678084 24236503 4069578 1000000000000000000 704749163 549890020 370450742 149503083 1000000000000000000 263625040 34109988 166688354 182270105 1000000000000000000 485131241 31558230 379192525 73961658 1000000000000000000 61384304 48600187 910757 13060765 1000000000000000000 282134345 145797315 278946747 134169991 1000000000000000000 30349350 17071058 18177331 11972967 1000000000000000000 877785763 723713221 141180016 23165201 1000000000000000000 295394501 21370168 118529312 4368467 1000000000000000000 875883008 393970544 528601747 689133748 1000000000000000000 108138343 107626124 41312136 13199815 1000000000000000000 827785139 547526683 244993253 345892536 1000000000000000000 161130359 71139015 87438553 127197376 1000000000000000000 884617834 228872398 618235376 583699343 1000000000000000000 716843005 64719061 447480641 423746220 1000000000000000000 8983030 270764 6385185 5031230 1000000000000000000 596970256 558454471 34992272 130495207 1000000000000000000 931476518 47159860 313871598 593257709 1000000000000000000 403217969 241756259 230149986 85306913 1000000000000000000 918546221 439952011 97045273 58104285 1000000000000000000 975471809 131263080 232240678 544209381 1000000000000000000 727799454 542106542 420555123 225371718 1000000000000000000 423175533 376814709 370124443 137283080 1000000000000000000 290322066 67128497 251675963 50285069 1000000000000000000 88855384 7858578 79760714 52889410 1000000000000000000 649972448 565094668 392277510 54772214 1000000000000000000 666107641 577016724 146806104 271452751 1000000000000000000 891720259 321383087 535279650 40005915 1000000000000000000 549514213 515963331 461483074 446036894 1000000000000000000 210667336 103756979 23113626 140584950 1000000000000000000 669908497 323736375 375237242 295285463 1000000000000000000 440470861 291161956 151371044 413259558 1000000000000000000 947769780 833175553 844757438 160908841 1000000000000000000 223911502 10760800 89756562 96629690 1000000000000000000 23471454 16535393 17085303 8621604 1000000000000000000 430060134 275407401 314875149 128973656 1000000000000000000 130529839 104199327 81757034 17145954 1000000000000000000 491440139 302605015 268917609 115086522 1000000000000000000 793413409 81284380 601471961 736907949 1000000000000000000 812778217 794431683 713913228 143795075 1000000000000000000 68153884 47485051 29015791 24147635 1000000000000000000 818891653 341722960 680805093 696318017 1000000000000000000 181977784 178820822 136401452 171331441 1000000000000000000 973054509 837368542 635425367 482821254 1000000000000000000 881940901 297548819 67278799 835306064 1000000000000000000 517402914 30848070 39550769 265743476 1000000000000000000 531953155 220445037 215075028 109651108 1000000000000000000 521454622 312064792 128499482 396641186 1000000000000000000 626092982 544358974 384549271 126642216 1000000000000000000 39032328 13690333 27482124 35876660 1000000000000000000 120636847 21161773 109036123 94932153 1000000000000000000 330974728 143315916 205881556 322274662 1000000000000000000 217559116 126361083 127338380 138965713 1000000000000000000 810266846 601625593 495331170 128566489 1000000000000000000 10094251 650656 5241462 5068728 1000000000000000000 472988675 381378554 370495714 140410264 1000000000000000000 127371603 58583306 32237966 34222032 1000000000000000000 865737247 640868783 225713092 312788737 1000000000000000000 22628008 7494261 20894082 15776634 1000000000000000000 485539098 439669017 479129421 435906571 1000000000000000000 281864364 167824797 232804848 184795241 1000000000000000000 738839067 206003639 551191631 533215916 1000000000000000000 833066654 765973072 474521498 414417105 1000000000000000000 780606886 566744664 660654719 159933881 1000000000000000000 306823744 240612468 262626857 287685928 1000000000000000000 253439816 78069489 60514292 158426606 1000000000000000000 158442279 69958473 39728306 121965648 1000000000000000000 101499437 53188820 80290018 14655229 1000000000000000000 78360541 28407442 73586848 42541849 1000000000000000000 291744640 23462448 77514274 128283141 1000000000000000000 617471996 152666908 587051715 148554304 1000000000000000000 641835410 569543410 298010752 407540745 1000000000000000000 409024465 3714968 195023463 363866212 1000000000000000000 842312792 7712220 632539045 282137387 1000000000000000000 142938804 91757061 62099882 6442416 1000000000000000000 434013076 300307047 230294496 406647950 1000000000000000000 317983016 192433655 180721180 273862703 1000000000000000000 191359661 3339387 98301788 101246022 1000000000000000000 489020419 466816169 37631924 305718934 1000000000000000000 377403674 293874845 276882804 220838827 1000000000000000000 942280150 401702937 894880437 154896385 1000000000000000000 545623288 337641642 229423176 107682174 1000000000000000000 157093274 3841040 61138113 121225030 1000000000000000000 299882794 168709984 169860147 87306231 1000000000000000000 59980227 50614935 13185471 47692927 1000000000000000000 374006951 83858405 31047495 183110232 1000000000000000000 338336633 226104238 174547610 141315199 1000000000000000000 508740439 4811501 306031718 468925896 1000000000000000000 486289956 269778891 464773731 477729630 1000000000000000000 11113761 6556652 1128151 3539460 1000000000000000000 450433711 365109972 31167059 144388621 1000000000000000000 405929968 114639556 36415548 13878444 1000000000000000000 913371163 209803148 391073829 293750296 1000000000000000000 272822617 189875016 266147505 159722317 1000000000000000000 298631627 14826051 27701812 206077491 1000000000000000000 675090957 510392326 312525987 221411986 1000000000000000000 546051060 543382939 467143453 234928670 1000000000000000000 285765862 85442088 104462862 3310927 1000000000000000000 733424366 151128152 652561036 607194736 1000000000000000000 764809136 681285743 220801535 258618464 1000000000000000000 324776935 76808200 97427399 225182136 1000000000000000000 760150496 32341077 597572819 130493744 1000000000000000000 109918449 46777573 25812988 37564134 1000000000000000000 344586255 125072562 217396553 129917238 1000000000000000000 20914197 6518609 9841634 19901036 1000000000000000000 162822336 125400856 18474576 75676692 1000000000000000000 532839514 455851838 327344709 56864323 1000000000000000000 146869633 139365232 6655856 96558356 1000000000000000000 358877116 311912825 138671339 46116825 1000000000000000000 990081444 367621319 879094458 317256672 1000000000000000000 423503089 326425745 339368701 140519261 1000000000000000000 212885165 134871939 126321732 206149115 1000000000000000000 594588138 419395442 185004632 345036981 1000000000000000000 859188621 685138328 45454180 336012402 1000000000000000000 393342411 254163490 2521077 289632505 1000000000000000000 938842778 635654012 748245916 392483759 1000000000000000000 651882757 389152564 62592312 176885908 1000000000000000000 878649034 264663275 91139805 321678987 1000000000000000000 905742201 903194304 438459394 504439122 1000000000000000000 354570877 322043374 41456728 109614697 1000000000000000000 709293601 20271195 597486279 606875805 1000000000000000000 488488583 328539266 367841489 83755174 1000000000000000000 968153666 486850242 11517404 747491480 1000000000000000000 96554518 35945765 26161378 38927833 1000000000000000000 18811908 12188642 2515722 16040782 1000000000000000000 211074276 171881459 48009740 115338872 1000000000000000000 494647990 304882143 351588950 378974170 1000000000000000000 259613558 170548523 133733768 43368619 1000000000000000000 626291203 271844001 338265176 101800822 1000000000000000000 593106152 142858691 122804524 489131131 1000000000000000000 706402431 210570662 178355289 276627230 1000000000000000000 619561712 55611773 596540059 166404375 1000000000000000000 944763867 753578906 455250932 681427781 1000000000000000000 13551591 9768958 12481972 11692346 1000000000000000000 740530510 155540875 66903990 216648475 1000000000000000000 899930673 68760069 398590237 828341739 1000000000000000000 959708086 298478807 391621156 60550910 1000000000000000000 155042306 67635967 35850949 147856856 1000000000000000000 559743881 253924847 114132403 105958232 1000000000000000000 651770102 205182701 424700014 509425153 1000000000000000000 207377828 161574588 193565549 66732847 1000000000000000000 925198960 918716677 366182860 138810652 1000000000000000000 498047803 262285940 30696551 48847741 1000000000000000000 473323318 399613846 261751938 413397907 1000000000000000000 205214009 154585200 193220723 70216856 1000000000000000000 138892447 66222454 72195435 87515665 1000000000000000000 772170748 671617509 481393075 139551894 1000000000000000000 66182335 19958899 61077544 12203279 1000000000000000000 960482727 753071122 86764420 465217562 1000000000000000000 973220931 505080503 59138067 68796592 1000000000000000000 638156991 596130070 236786470 444970235 1000000000000000000 743236694 179095977 16499422 248775848 1000000000000000000 547682788 330892043 236446288 395884602 1000000000000000000 177474215 145342033 116133278 113614012 1000000000000000000 779137763 120658389 416320709 58734633 1000000000000000000 728500005 466796394 274678085 300658240 1000000000000000000 722982674 247256509 508947324 199649578 1000000000000000000 463333882 20898702 405683840 144732772 1000000000000000000 456132860 368504949 62234544 279195084 1000000000000000000 62480641 46361870 410146 40815251 1000000000000000000 875640628 655892165 279036231 421404620 1000000000000000000 537508021 196527643 280903029 348828174 1000000000000000000 86456778 85733296 11932361 63057384 1000000000000000000 834790374 347463811 547451412 536927869 1000000000000000000 414620814 190361365 13152389 413493024 1000000000000000000 218829782 65976094 122864518 102621877 1000000000000000000 460927806 214163408 37379099 4438568 1000000000000000000 75169528 75106627 73872217 8829408 1000000000000000000 933482866 643356367 309927256 329209132 1000000000000000000 308641216 255274507 93657074 169017155 1000000000000000000 425631906 141487797 252258883 350936148 1000000000000000000 721384391 546808357 360545707 73630817 1000000000000000000 683470674 232608579 556950494 540373290 1000000000000000000 61675072 8717423 14099273 33311084 1000000000000000000 783929414 688853217 438402675 572624331 1000000000000000000 695102149 510804585 458208884 482514250 1000000000000000000 245136692 217289757 54475623 123238591 1000000000000000000 252224165 196948114 116403253 36135173 1000000000000000000 81576653 60863522 54516864 35174350 1000000000000000000 367229501 354429182 104082125 114638544 1000000000000000000 974507256 73549673 534135899 180799946 1000000000000000000 68459533 30886028 57697000 20188776 1000000000000000000 805336325 169418293 162676983 441579889 1000000000000000000 677420413 561847450 661618618 326877753 1000000000000000000 236016022 151577105 132236378 205042163 1000000000000000000 458482554 414747648 281435375 279110581 1000000000000000000 115161161 101370831 87717513 94086501 1000000000000000000 167576426 155953609 4793938 147065790 1000000000000000000 843617286 182815879 18139141 223975960 1000000000000000000 667444269 69104 206789967 190550844 1000000000000000000 220062530 88504543 67947674 54075709 1000000000000000000 373481417 349057391 52741151 119817386 1000000000000000000 579387376 477173225 344023599 167678907 1000000000000000000 362524908 129174636 125909472 220204192 1000000000000000000 287552318 205595849 50888688 282041372 1000000000000000000 670036537 524981267 113627831 283605415 1000000000000000000 82551017 6604889 37390387 9028688 1000000000000000000 586905532 396495805 416796084 1194440 1000000000000000000 241410076 67298127 79863376 208289770 1000000000000000000 641122052 577716516 631881887 12152010 1000000000000000000 804096990 114324720 672824163 498490052 1000000000000000000 722496697 522222001 125567173 454698735 1000000000000000000 276072632 215123223 48691660 98805445 1000000000000000000 493628603 189590905 357205101 492787060 1000000000000000000 232866809 61142562 157758686 222975941 1000000000000000000 203511374 198922390 175882211 70830832 1000000000000000000 794709223 481620163 55596640 517248346 1000000000000000000 929007617 325254077 389521078 39522205 1000000000000000000 34116975 30811753 9199847 11872474 1000000000000000000 191013231 31492375 126203671 164047526 1000000000000000000 503507363 117931274 57987105 327049072 1000000000000000000 835378961 365376120 368069804 697413929 1000000000000000000 404979899 8186875 257277422 372595397 1000000000000000000 299860533 70559988 278249321 258503454 1000000000000000000 870598481 804893287 206804276 398455994 1000000000000000000 271732655 226840187 241216388 250992151 1000000000000000000 429040982 24396063 280753694 363009641 1000000000000000000 525316310 38149160 346161776 515325231 1000000000000000000 859061768 345533840 564047085 97523672 1000000000000000000 343184293 315201527 70717027 241911182 1000000000000000000 965287797 318857512 767681458 441096277 1000000000000000000 226301515 223716793 171641260 50879680 1000000000000000000 586681539 194952016 327265278 500603122 1000000000000000000 109464129 90551242 3585815 33303410 1000000000000000000 884239104 452770040 397523406 657907218 1000000000000000000 930951933 801642978 65307076 333823499 1000000000000000000 815947160 46535681 382936059 672660584 1000000000000000000 414826078 337674759 64560070 354125033 1000000000000000000 518203146 223642330 255420636 115277665 1000000000000000000 632456969 520871238 281716724 541800940 1000000000000000000 649217038 167027078 643130139 234157775 1000000000000000000 530123576 247627648 413513521 437650944 1000000000000000000 478041920 274729128 160593057 473783650 1000000000000000000 376089312 121005359 289826372 142272290 1000000000000000000 545518435 86910780 30453421 100834342 1000000000000000000 65847009 53548714 52302119 28505699 1000000000000000000 623540983 160162105 18477523 200800490 1000000000000000000 360089972 296863928 263273640 151263820 1000000000000000000 95495705 56554229 49142601 93608583 1000000000000000000 841948972 705333573 465220746 581501383 1000000000000000000 271810386 60971611 149850247 133350437 1000000000000000000 872233824 623469486 485493080 646718142 1000000000000000000 655056599 317693147 448367659 60121523 1000000000000000000 608368969 4041540 487690586 567275439 1000000000000000000 297026722 130352403 222838575 259112361 1000000000000000000 799072242 120800222 175056367 21496888 1000000000000000000 881563958 372479768 477846654 496248325 1000000000000000000 592169061 85338234 16295116 70893926 1000000000000000000 264763604 223630153 202410119 82993315 1000000000000000000 482642992 48356080 190744621 41410266 1000000000000000000 101971966 7365679 18355538 101466731 1000000000000000000 404610355 144436577 213223248 57298489 1000000000000000000 558749956 313187025 253393249 493393171 1000000000000000000 173430706 113044184 19031174 131889650 1000000000000000000 865732989 817120023 767133209 565567239 1000000000000000000 105055985 73495991 90111509 67601628 1000000000000000000 616751868 539389511 260208678 258864401 1000000000000000000 392908361 264029457 67857857 338171916 1000000000000000000 619734270 598623352 160926037 396291388 1000000000000000000 564291181 394188595 301336422 237935609 1000000000000000000 637966141 183101439 19027498 78132364 1000000000000000000 578035911 331882815 508928268 497896221 1000000000000000000 842579009 616041141 69991244 814632954 1000000000000000000 793125900 246030401 257300338 35534294 1000000000000000000 859295131 357579307 497309420 509376665 1000000000000000000 465667458 34157854 239271119 307940167 1000000000000000000 293469939 219847107 152352594 123512675 1000000000000000000 256121113 236421267 158817571 209993810 1000000000000000000 936602160 574210995 779315545 551320025 1000000000000000000 828568701 359623827 669368737 805803433 1000000000000000000 845732118 756256914 89490733 690519526 1000000000000000000 541336917 142581076 240044389 492055609 1000000000000000000 547851922 149837004 166854451 365615225 1000000000000000000 530446134 48279578 430172104 192191391 1000000000000000000 625414805 577822919 143076616 382015402 1000000000000000000 546317190 521253904 139606531 263438732 1000000000000000000 713037530 565682894 564975565 209470270 1000000000000000000 947665280 913085252 651672371 379621141 1000000000000000000 663401436 55116959 489476353 486737507 1000000000000000000 209094655 155751325 176222075 179910519 1000000000000000000 522445807 266289217 492006979 384727130 1000000000000000000 797257913 447919985 317327609 238818010 1000000000000000000 91924255 71758093 89128452 4145797 1000000000000000000 510157522 370715182 280433675 241044534 1000000000000000000 138940927 90257291 121596369 133615277 1000000000000000000 72966608 18451573 71978462 17370710 1000000000000000000 978179887 394658144 710910886 812961854 1000000000000000000 587499662 489581316 277625118 56707625 1000000000000000000 718671032 591335090 196828769 708920851 1000000000000000000 33789248 19749116 2669466 20544730 1000000000000000000 305660914 187770128 271787210 28612064 1000000000000000000 389778802 3575644 214412503 242590138 1000000000000000000 441002777 263676974 432878339 179386865 1000000000000000000 815527619 446417032 343228708 68644928 1000000000000000000 967405556 247156850 301774585 430075108 1000000000000000000 896366611 152885243 425513010 53114439 1000000000000000000 365354233 337661773 33698234 261855521 1000000000000000000 948736998 124409272 824575300 732529855 1000000000000000000 108704042 101448357 51967813 48766892 1000000000000000000 837713224 440296844 659734658 208350859 1000000000000000000 399801066 298252817 274150682 293552433 1000000000000000000 640896766 639756394 519649107 8301778 1000000000000000000 334556756 126769818 71407323 331615489 1000000000000000000 672557591 320018169 391660015 577355255 1000000000000000000 181312979 53402622 11685685 46289153 1000000000000000000 464026666 176035181 405388448 54246709 1000000000000000000 938918908 119803643 809246720 750134911 1000000000000000000 178848352 62536204 112985734 86111227 1000000000000000000 381422189 282711850 253034067 102569105 1000000000000000000 146936372 15400627 81813310 144779230 1000000000000000000 723055801 153742513 152319847 390505056 1000000000000000000 58572246 470215 39458256 50788677 1000000000000000000 653606357 348422253 94229611 516993383 1000000000000000000 141788485 99846085 135280128 137160965 1000000000000000000 996227681 827507654 206220071 173874822 1000000000000000000 231260886 196075401 71705139 158337923 1000000000000000000 46457831 14985010 31144289 17600327 1000000000000000000 41525148 18826341 19452553 24965020 1000000000000000000 174614595 3356215 98933657 96912203 1000000000000000000 545521097 202054431 261586296 118422477 1000000000000000000 991459559 928280305 82449487 819757593 1000000000000000000 131346490 18376997 36646194 30526204 1000000000000000000 162702157 24103586 115755591 72343562 1000000000000000000 36324658 9124700 21091130 21373052 1000000000000000000 858903333 27094009 617337015 435057224 1000000000000000000 464017172 207438938 34249710 288510792 1000000000000000000 682448993 46346714 468882350 33074631 1000000000000000000 14634369 7664712 12143941 1046604 1000000000000000000 729743640 317765804 609364542 545309949 1000000000000000000 962621388 797509290 684786485 322606302 1000000000000000000 771406994 759740446 761907717 682135447 1000000000000000000 502116203 152654950 147700345 406045072 1000000000000000000 862366688 205528748 99577755 663878609 1000000000000000000 255470690 83851123 133688109 5366744 1000000000000000000 703459752 328933128 387457347 628495835 1000000000000000000 202153125 39348874 112827057 1021985 1000000000000000000 400570554 390972948 232542343 58316203 1000000000000000000 113316095 22510552 74055235 89966340 1000000000000000000 140739551 68987472 49506897 1861411 1000000000000000000 818490336 499962476 555949635 81755061 1000000000000000000 715936752 526484652 631943907 32975843 1000000000000000000 716187002 652112230 145830964 665454607 1000000000000000000 898004474 520584579 425903347 98555640 1000000000000000000 502886169 168892234 40384552 459087011 1000000000000000000 419102455 76360609 321479404 83631667 1000000000000000000 412318331 273853346 202249784 196597957 1000000000000000000 156715530 134973281 83139691 79496992 1000000000000000000 972749866 310864378 11719096 310105062 1000000000000000000 900522767 282248514 154374018 537136179 1000000000000000000 960775490 483345849 720378861 787183058 1000000000000000000 961358342 917038289 816200025 894862261 1000000000000000000 889872556 177135657 679144599 14525026 1000000000000000000 623163530 557275092 466711356 507687435 1000000000000000000 545623423 35684478 474218861 272748181 1000000000000000000 548552763 416453506 206293028 52091929 1000000000000000000 420931872 21467952 35559001 141107645 1000000000000000000 7753274 3184611 1943806 1785562 1000000000000000000 46366650 16984429 6394601 1304527 1000000000000000000 182877870 139873536 65956687 42874055 1000000000000000000 447283680 190628986 177115000 147784593 1000000000000000000 154062929 59117880 79134645 123988786 1000000000000000000 484049403 483521990 381631004 380264283 1000000000000000000 530517588 1044899 147952840 259181744 1000000000000000000 407790458 164089764 124446064 344842046 1000000000000000000 818579773 248080874 29828480 202614951 1000000000000000000 828528125 488339605 649194346 84823694 1000000000000000000 399248105 383662242 310202952 274570390 1000000000000000000 357297900 250743859 75059297 342817364 1000000000000000000 204635650 175054981 79184159 196127322 1000000000000000000 19421660 18931693 10396740 3059916 1000000000000000000 367489563 299056709 61014071 348522073 1000000000000000000 506099812 426139820 504500256 331531311 1000000000000000000 755159726 162755215 63466380 598498318 1000000000000000000 7821518 2794406 5754397 6139918 1000000000000000000 978894888 799897240 257752981 22682235 1000000000000000000 601936093 413135766 351170204 547288250 1000000000000000000 805032508 649215710 76282904 167146918 1000000000000000000 812484518 257928003 181127015 343499312 1000000000000000000 949595728 670441687 447009683 337585857 1000000000000000000 945027348 573181677 362274188 749005112 1000000000000000000 598982815 192683286 382668527 568251805 1000000000000000000 223670351 216249156 212898502 205895731 1000000000000000000 414754659 247594767 221609630 161986703 1000000000000000000 486035519 165075515 308255691 463655411 1000000000000000000 643922506 356308109 75727381 22406890 1000000000000000000 193791326 160404397 181541616 135816575 1000000000000000000 930824809 776412738 894557103 326188582 1000000000000000000 182243986 15738352 8873170 163825677 1000000000000000000 31837536 6374279 8618596 20577141 1000000000000000000 324424702 294726625 135293619 190694492 1000000000000000000 586768885 92042202 392343689 452601917 1000000000000000000 197972762 71657799 37205565 65214611 1000000000000000000 99662107 24692655 3390591 96037667 1000000000000000000 472074089 187833813 216842855 347103321 1000000000000000000 279348986 257699467 83103932 18916373 1000000000000000000 41492353 10926277 32103983 29403902 1000000000000000000 987510682 798869999 965340648 976465484 1000000000000000000 583015640 347109831 573190856 560695340 1000000000000000000 209293912 166661328 138495847 160044786 1000000000000000000 788043636 251999848 152916408 604852727 1000000000000000000 441301134 410756293 168424766 195176863 1000000000000000000 925938508 453660050 113412372 179160007 1000000000000000000 403500339 354983639 76253785 302777094 1000000000000000000 223434323 219019067 126400494 3772109 1000000000000000000 891098261 649973103 521866285 250229784 1000000000000000000 688937674 117578833 678474443 427388995 1000000000000000000 401200442 15129679 200921816 354042304 1000000000000000000 703171619 405403459 522523473 56031540 1000000000000000000 848816301 136070220 783627078 411833357 1000000000000000000 138248120 25002049 66822810 82144767 1000000000000000000 497910927 261212467 4412164 113919679 1000000000000000000 53218953 7391159 53102236 18455104 1000000000000000000 810770647 44960989 324008869 115376104 1000000000000000000 324380596 306714258 97296760 253878589 1000000000000000000 493760782 394194670 465604411 31597812 1000000000000000000 633304541 408660021 543959719 433677225 1000000000000000000 589804630 304949869 461171942 448854977 1000000000000000000 805509110 129859133 240308056 697608987 1000000000000000000 713127859 367132209 89473782 611368918 1000000000000000000 219085204 189132124 180892488 52535889 1000000000000000000 320459979 50706591 47421162 64500106 1000000000000000000 399045876 36305442 137495948 27933249 1000000000000000000 962927741 446244941 85377026 751498493 1000000000000000000 178106236 144308616 75487707 113027073 1000000000000000000 675835543 609197350 555474559 225860274 1000000000000000000 794987 421656 720051 584417 1000000000000000000 950575360 124169614 671280071 604027414 1000000000000000000 651913094 244856378 628732989 502542086 1000000000000000000 516462088 499426848 384234267 73045196 1000000000000000000 463294422 40910977 113371695 62390808 1000000000000000000 972516443 246548431 669328186 657456527 1000000000000000000 133680499 13075856 37307709 24964031 1000000000000000000 199583016 133526734 80021090 50515722 1000000000000000000 989819767 193651020 5082803 210907095 1000000000000000000 99381962 76905360 12171904 35510335 1000000000000000000 403237014 345859454 137228393 76655662 1000000000000000000 103631715 1209579 47559090 12118522 1000000000000000000 49670687 24685641 48228445 37771016 1000000000000000000 456090565 438026249 410801913 29190112 1000000000000000000 285296574 244736353 37096563 264859510 1000000000000000000 361851818 245193046 302177439 227887212 1000000000000000000 883862921 31419832 124170163 108729552 1000000000000000000 464915793 146974927 217107248 277184398 1000000000000000000 266040819 8326376 102329039 233241442 1000000000000000000 280001222 249854697 113832126 198251031 1000000000000000000 817097631 664162830 248488188 88527959 1000000000000000000 76897911 64884444 73450439 2120735 1000000000000000000 19342283 14083798 11503522 15167265 1000000000000000000 520430734 108256166 462281914 47319582 1000000000000000000 618826642 613827214 217796428 570688226 1000000000000000000 487136640 465182226 267535671 386419803 1000000000000000000 405689833 306872198 271826014 311776785 1000000000000000000 623041483 118821492 460098205 219379478 1000000000000000000 342924842 172951437 235939706 191162288 1000000000000000000 146772576 109043602 103956373 107809859 1000000000000000000 515179176 139801284 21013629 184291792 1000000000000000000 128035215 35629689 37508870 92180280 1000000000000000000 380405601 379070962 257228966 346244550 1000000000000000000 236343359 106764436 125051303 57029303 1000000000000000000 226105248 173102611 2285395 134056515 1000000000000000000 464934862 427595810 265219806 347110281 1000000000000000000 484681939 132013521 210384232 241857161 1000000000000000000 597006262 410663822 405710774 221901419 1000000000000000000 921015748 608417619 838382377 310238773 1000000000000000000 224033217 16177212 119534486 70265172 1000000000000000000 414210765 13683691 80918596 209227170 1000000000000000000 519824187 39286599 32347855 152205000 1000000000000000000 9086507 70365 8460225 5509519 1000000000000000000 173083732 143874650 86966482 8384508 1000000000000000000 298160530 155545693 134790378 143949167 1000000000000000000 862741201 26554234 516979513 202466860 1000000000000000000 643975579 43704113 396468655 579239489 1000000000000000000 31236581 21970549 1614282 11891973 1000000000000000000 220003945 153772258 96059429 67295918 1000000000000000000 874207805 158361814 665688809 157815946 1000000000000000000 537651759 2714329 183184244 218369952 1000000000000000000 57235332 36769597 28243827 45472893 1000000000000000000 574050460 252088082 422553915 348545265 1000000000000000000 985824693 438842676 288795184 427996537 1000000000000000000 253837737 69337886 35133491 11983597 1000000000000000000 905578256 196469057 141172649 138929064 1000000000000000000 924674362 869799731 270384534 29550638 1000000000000000000 678802022 639159328 360255445 335076173 1000000000000000000 134489904 72426560 121883214 98719092 1000000000000000000 385284858 366829249 78107475 280497565 1000000000000000000 743384010 489351284 154481139 449877831 1000000000000000000 371466175 93226037 328340524 296592221 1000000000000000000 580597970 370637511 297467390 76134836 1000000000000000000 293381080 63603961 1735732 2175240 1000000000000000000 36145928 30966061 8702020 29814214 1000000000000000000 531995726 336651825 291143485 423290828 1000000000000000000 356760513 225285183 167054399 60148508 1000000000000000000 108090105 48067236 16375396 59663994 1000000000000000000 729204579 23788383 161286630 525978285 1000000000000000000 350745153 137862051 241247325 271890154 1000000000000000000 998012640 675946617 290943584 670810976 1000000000000000000 656722508 196798608 18076948 650836171 1000000000000000000 212303452 183850076 177067064 127705782 1000000000000000000 496580794 40829085 422369805 189219835 1000000000000000000 967333773 25191171 206788822 436033235 1000000000000000000 467650165 180963891 196095557 385695388 1000000000000000000 326108381 165817397 256005700 271386223 1000000000000000000 883432913 542211419 701712608 489466625 1000000000000000000 381749320 135093024 69557003 353821870 1000000000000000000 124800359 84234349 97355883 81222109 1000000000000000000 618950278 483997692 158810667 559078360 1000000000000000000 441644804 234179932 79740405 427684717 1000000000000000000 710179271 315888525 584666483 369891408 1000000000000000000 780002800 447648318 561168112 372799810 1000000000000000000 955178140 484052267 869552570 637112387 1000000000000000000 376076502 170921392 167003925 345174511 1000000000000000000 979356960 800246475 221554807 245392748 1000000000000000000 74742241 57208334 8323742 60533914 1000000000000000000 830717714 316190956 61675970 635030125 1000000000000000000 925713531 428996231 610762354 549981131 1000000000000000000 122869209 34692686 109891029 85046555 1000000000000000000 334862080 260502965 239003907 26751843 1000000000000000000 112438926 31967976 17017727 96299908 1000000000000000000 406587565 392073350 26652869 399594049 1000000000000000000 76957560 74291201 44357404 13598672 1000000000000000000 30052612 22141521 3812448 29965636 1000000000000000000 436103975 286063279 72184818 348675720 1000000000000000000 725201241 466298694 272135001 120161861 1000000000000000000 711096856 388806909 367200087 235021936 1000000000000000000 453417915 416912765 10649004 53512916 1000000000000000000 217122794 135838254 113485122 195176270 1000000000000000000 414590486 364912304 171896214 283702102 1000000000000000000 381742073 286365980 306031145 284999565 1000000000000000000 525453772 447677557 469351874 48564536 1000000000000000000 396334997 395775120 104791773 56376426 1000000000000000000 435223635 266837963 338387804 259580929 1000000000000000000 633443910 615890096 266498405 363167257 1000000000000000000 335840357 9477438 303109530 321095328 1000000000000000000 845746191 369596782 1015885 734492194 1000000000000000000 659715788 532308514 118069486 88613464 1000000000000000000 328184676 204175699 92311819 100355283 1000000000000000000 582629766 186737745 529166506 454936647 1000000000000000000 53780409 20173942 52256386 47843976 1000000000000000000 911509897 907377351 223111957 765290554 1000000000000000000 201128120 137748862 37663231 137273902 1000000000000000000 382082546 23577000 298260823 243185004 1000000000000000000 620833214 400824637 56309248 495767165 1000000000000000000 203407199 98825320 12021300 137612542 1000000000000000000 742868226 351628173 584821946 610592649 1000000000000000000 310361947 152551558 188817518 166965144 1000000000000000000 538700327 536238640 166869668 465387800 1000000000000000000 422393650 231767991 142313613 203222009 1000000000000000000 920702693 865818601 741374553 256198254 1000000000000000000 973874906 58410897 81222657 557514546 1000000000000000000 643225319 379179685 563173243 14354660 1000000000000000000 847149935 553373605 189903173 712793344 1000000000000000000 397779843 29255448 108422205 159641891 1000000000000000000 549206335 13705909 280206377 281042341 1000000000000000000 278512342 126554612 188038218 225941002 1000000000000000000 968938523 369694874 634447751 262275273 1000000000000000000 538397886 432663638 217380016 131123143 1000000000000000000 936640702 343307222 430172261 296867220 1000000000000000000 191701659 85491113 42202241 179393771 1000000000000000000 218440123 159684920 141990758 41626942 1000000000000000000 369233326 283147010 276629888 308396239 1000000000000000000 869056833 683496350 820327889 23915341 1000000000000000000 475997778 257832839 229604784 287552005 1000000000000000000 231045404 11838166 209545284 7792259 1000000000000000000 759293260 462009244 173754700 456069637 1000000000000000000 497216410 483297959 242270264 485905538 1000000000000000000 608358150 239858277 425117301 72576934 1000000000000000000 327507534 60314845 10995555 231043149 1000000000000000000 34037353 575094 2392816 33905352 1000000000000000000 304608195 15697578 168293660 178224291 1000000000000000000 564733325 477662092 562343190 559936475 1000000000000000000 720346553 122367852 208455851 494682497 1000000000000000000 40330588 31891543 14225977 18591141 1000000000000000000 140649567 93943235 5083113 99043922 1000000000000000000 760275885 614784306 345153988 592628713 1000000000000000000 370955465 215743513 92229727 278400184 1000000000000000000 599053374 105803954 480904168 41511822 1000000000000000000 899215210 881983432 261192783 105197867 1000000000000000000 615837824 495241901 437575956 101121286 1000000000000000000 184264248 3848836 153559617 38658939 1000000000000000000 522162529 255502102 101407296 48725968 1000000000000000000 851950702 560067310 514990757 758008833 1000000000000000000 744291998 614736054 507008150 319953454 1000000000000000000 627089395 42434354 144429721 196781904 1000000000000000000 586316066 227129182 104537272 6672824 1000000000000000000 436847316 258424113 212732913 342328660 1000000000000000000 833862499 251302067 165168552 249407373 1000000000000000000 949709832 799476119 102961320 610929810 1000000000000000000 66701507 14984700 45275243 43516474 1000000000000000000 578008895 488417591 516470472 188498756 1000000000000000000 852064435 652760643 81018277 78975432 1000000000000000000 372213947 126204260 225506453 105869918 1000000000000000000 932460695 764831721 714224250 275402265 1000000000000000000 256602590 165711525 113899904 168228720 1000000000000000000 692882944 658507830 437574360 16142557 1000000000000000000 40565450 19465982 32874061 8542647 1000000000000000000 309052843 180919370 38571019 210324464 1000000000000000000 766752016 462990729 159390065 743403550 1000000000000000000 572251133 99256572 89678729 312556165 1000000000000000000 192715323 58341207 89905101 85054832 1000000000000000000 259465135 102407332 86318937 223747465 1000000000000000000 982221345 663588163 745312598 700291259 1000000000000000000 476027971 193505992 344405277 464590811 1000000000000000000 254975657 88113687 53628485 456078 1000000000000000000 969965802 57794466 805925817 260121519 1000000000000000000 486208999 427078925 159352946 282017749 1000000000000000000 466491191 578708 93651913 368988655 1000000000000000000 443406884 306768212 374492910 174902098 1000000000000000000 344751374 22354848 293186433 203554923 1000000000000000000 665009307 280139675 525138433 119644185 1000000000000000000 940243458 342801740 430181264 744085434 1000000000000000000 197992913 106269907 166949847 166742295 1000000000000000000 675764184 107596336 39410867 16212027 1000000000000000000 310770731 89201637 33387897 166676465 1000000000000000000 854849615 605732604 141344899 185807744 1000000000000000000 492399467 102574479 441093753 449360073 1000000000000000000 712909341 600771173 279259580 602018289 1000000000000000000 770629264 100338273 613315421 307031656 1000000000000000000 663314249 450364454 133306445 64743002 1000000000000000000 974818309 300761873 253619289 243831667 1000000000000000000 496850538 94024824 88363184 111078274 1000000000000000000 466266829 71675887 378247946 231495108 1000000000000000000 487616792 372546275 319032114 84389264 1000000000000000000 578576628 438251125 316543996 535802629 1000000000000000000 167061151 81634276 9401364 10941794 1000000000000000000 406860475 379804941 338242602 160563824 1000000000000000000 799413606 359481031 128174378 678101106 1000000000000000000 215056666 91337965 48442776 144439006 1000000000000000000 16420080 10799424 502958 5674512 1000000000000000000 312849512 130898776 248826349 36500477 1000000000000000000 656636396 265240392 143665590 42775644 1000000000000000000 735483151 673759234 189413902 644796974 1000000000000000000 167273839 57733840 66065433 33380880 1000000000000000000 551522252 355408323 34767079 532693889 1000000000000000000 985797840 456596173 738930673 329050556 1000000000000000000 377659004 294586710 42176951 107286834 1000000000000000000 736981694 164250227 417232080 400707898 1000000000000000000 565777214 108543812 251656253 365944099 1000000000000000000 11830176 8699648 7151052 2957983 1000000000000000000 831110504 604027388 757428208 266314533 1000000000000000000 755103900 32928401 485526886 540789304 1000000000000000000 924003341 606117194 883581854 123357717 1000000000000000000 911798187 392382506 271576848 796130134 1000000000000000000 128227668 93738708 22787059 90162611 1000000000000000000 689418456 614911806 472397758 237399043 1000000000000000000 546295906 366731330 147913067 258792834 1000000000000000000 616145144 29627203 337867551 213319038 1000000000000000000 738866665 64741514 649743 517947836 1000000000000000000 884124034 630355395 166190863 800197035 1000000000000000000 40004676 27040134 5889670 34811931 1000000000000000000 798564920 612719700 647034671 580503793 1000000000000000000 312780250 222375564 296634431 19552930 1000000000000000000 852146382 394560127 65070570 680826975 1000000000000000000 745275996 409717678 299250411 479043101 1000000000000000000 532621168 449518601 188150851 123232892 1000000000000000000 314396826 5761395 231890648 72786221 1000000000000000000 789042315 588630881 148724959 374141326 1000000000000000000 273873691 107669627 73992364 37710089 1000000000000000000 984944347 71886682 147014240 868943498 1000000000000000000 462790569 123564190 390403356 114761898 1000000000000000000 122354368 122264536 64825139 51410594 1000000000000000000 343046448 3668892 184225469 185984848 1000000000000000000 859273028 195799887 830145321 71387461 1000000000000000000 57207487 34365050 41600770 16768619 1000000000000000000 875901671 514437940 262079842 710232837 1000000000000000000 41082941 5688310 6488374 24231691 1000000000000000000 64369633 59334358 61700761 58703284 1000000000000000000 158952862 109741491 101645525 52897073 1000000000000000000 132590583 130448738 113342220 15684038 1000000000000000000 269635322 173326457 257763134 189807545 1000000000000000000 728664421 371210836 650849297 429848744 1000000000000000000 551387919 351814671 452699887 420899944 1000000000000000000 564229204 257604285 459714995 148363718 1000000000000000000 240367935 107917202 137489642 227113839 1000000000000000000 139559253 130751046 91674255 95904949 1000000000000000000 573912006 406374441 481878961 171786841 1000000000000000000 371609743 64723665 209887273 75241087 1000000000000000000 54080425 14542951 39109378 5521277 1000000000000000000 340349007 29102381 98298726 335658943 1000000000000000000 493661041 448722686 322048251 273359964 1000000000000000000 192418769 73476910 88686354 167714668 1000000000000000000 50452853 32332669 32664139 32309514 1000000000000000000 741849370 616101371 460689908 260208840 1000000000000000000 991584425 752676534 472070375 493156109 1000000000000000000 701005846 74375842 637132971 157654919 1000000000000000000 746737260 52946405 462127558 134411627 1000000000000000000 888984934 601146142 529136711 490692332 1000000000000000000 711401723 525474511 22379841 330277973 1000000000000000000 401928911 278968705 140414445 151566019 1000000000000000000 744564535 449249865 689074163 314491545 1000000000000000000 973235202 426957764 793316190 758571159 1000000000000000000 397774295 161978269 274073565 346228092 1000000000000000000 186078498 50655954 36927743 162498346 1000000000000000000 824127055 458093144 731775826 521672656 1000000000000000000 423595064 379605210 225746467 62680702 1000000000000000000 548619717 153273793 259902541 329689055 1000000000000000000 966958607 282909741 421362429 125219950 1000000000000000000 433322830 268420655 376458902 379800885 1000000000000000000 122345706 45457093 105802537 9099589 1000000000000000000 513722201 109542397 160214207 452290206 1000000000000000000 113316661 75453834 88403393 106260107 1000000000000000000 241525912 113971174 57097577 10705472 1000000000000000000 345550961 303819420 177195063 274841183 1000000000000000000 250404743 230794599 68693989 235130706 1000000000000000000 898861004 834175524 243209295 27564263 1000000000000000000 803547752 463456483 431096245 753174016 1000000000000000000 584679137 179534901 379773353 110832872 1000000000000000000 401904455 363929721 47421258 374493126 1000000000000000000 72593659 46190545 65974341 47316874 1000000000000000000 320927713 27486132 32967365 300960900 1000000000000000000 979554200 582371537 225975612 737191888 1000000000000000000 437993004 252028874 238351870 283581124 1000000000000000000 343031270 159600256 36268877 80750755 1000000000000000000 296595068 275939834 112657315 202695891 1000000000000000000 387792132 16493267 173626009 366594612 1000000000000000000 549169752 305318701 455086222 258574918 1000000000000000000 289683348 18109771 917149 182944872 1000000000000000000 917992378 60427112 193335569 224447375 1000000000000000000 193406831 129266821 35035406 81558137 1000000000000000000 109161389 77842229 86270106 66386204 1000000000000000000 695958087 255526174 430086600 296942362 1000000000000000000 747883117 311475203 401755840 291110269 1000000000000000000 196371488 52274097 141874352 128829807 1000000000000000000 811144404 288510096 203667066 154872716 1000000000000000000 545471047 393085140 122835348 58753975 1000000000000000000 785584273 54419398 529042468 623850766 1000000000000000000 27075406 12946350 23847526 18057427 1000000000000000000 360375296 354412496 142163413 119488507 1000000000000000000 977687010 305518152 540464933 689590102 1000000000000000000 931655183 745066149 114801485 132020180 1000000000000000000 324897508 93305451 132651560 221863730 1000000000000000000 643274316 470302242 345188586 210636221 1000000000000000000 814372743 366801683 355538149 152868691 1000000000000000000 163423613 85261991 89927374 4453038 1000000000000000000 217428479 95240590 12345873 111222654 1000000000000000000 415742691 332629941 98491587 159679407 1000000000000000000 881659841 320178013 556671958 759180049 1000000000000000000 682031187 227991685 101904941 428471016 1000000000000000000 610732563 428180964 142394969 6648231 1000000000000000000 100767599 98770208 74205131 55965632 1000000000000000000 914593224 278182432 299659664 529292378 1000000000000000000 959314655 123241987 16794434 528940005 1000000000000000000 230677658 160513557 36771343 113220523 1000000000000000000 19685402 9316102 16795023 11444804 1000000000000000000 847224319 324128455 193192660 608482461 1000000000000000000 975571308 820388902 810737291 790582971 1000000000000000000 962883671 578891810 680275456 201797505 1000000000000000000 619112529 327662128 416410429 461181437 1000000000000000000 120530787 64234082 6048970 77244138 1000000000000000000 755550888 190115494 368769004 215736968 1000000000000000000 545983161 101004782 113794410 338819398 1000000000000000000 170186871 73137067 41944847 87174759 1000000000000000000 585049001 477688206 516837142 81948740 1000000000000000000 122085150 105708851 51147325 84190118 1000000000000000000 95680475 44677399 61735931 82722145 1000000000000000000 753562100 278497748 339466644 418049940 1000000000000000000 958395327 779531942 130919865 68212531 1000000000000000000 213651038 39865745 10824507 98223712 1000000000000000000 634059507 215908669 264899967 123121324 1000000000000000000 817366501 573052617 724712304 270591142 1000000000000000000 142944577 86499912 59735821 120074605 1000000000000000000 578242558 290159898 174359733 407103356 1000000000000000000 240521899 185120407 112310334 161982637 1000000000000000000 31111465 20053770 2017587 12395416 1000000000000000000 614431367 297587042 61339579 7244729 1000000000000000000 175397 17842 36758 18312 1000000000000000000 427338652 184303385 185383970 203964431 1000000000000000000 339449341 315228396 289399845 125590172 1000000000000000000 281671415 274801886 79829324 233195154 1000000000000000000 293939501 234383643 3100996 46969493 1000000000000000000 536700844 519609250 349484328 466299028 1000000000000000000 89112131 72805391 75943718 75571260 1000000000000000000 602800287 409204739 296928256 527875341 1000000000000000000 61180621 28022246 50104273 60646456 1000000000000000000 881821900 460056268 725764965 274921130 1000000000000000000 969207626 378842731 893655442 88415931 1000000000000000000 883614162 854561399 848229064 571473176 1000000000000000000 526647883 245000291 207998884 521762111 1000000000000000000 339773824 180541275 23943979 146975463 1000000000000000000 358315955 60495045 157961977 255925112 1000000000000000000 825000682 185244175 195382185 195720624 1000000000000000000 847989725 178374308 376137599 294289039 1000000000000000000 822799213 289150950 291653353 236799028 1000000000000000000 626160509 343841160 592227627 623404134 1000000000000000000 816063546 100991698 498299653 666801777 1000000000000000000 319764641 294604898 168712633 154828672 1000000000000000000 677895757 471832859 334976273 88558740 1000000000000000000 333472551 89787331 290525175 184505202 1000000000000000000 256337742 75903080 217097538 47089069 1000000000000000000 604284637 353816388 216690426 152769682 1000000000000000000 306766788 14549064 98902791 52596925 1000000000000000000 842164585 821943894 360607698 834435060 1000000000000000000 828843227 178135288 513255774 563119004 1000000000000000000 761536195 139851035 708413242 34169388 1000000000000000000 758645937 197086291 532490896 330317226 1000000000000000000 889946505 641738563 660288331 773873041 1000000000000000000 33903450 5481058 16840819 3990437 1000000000000000000 737236155 592169154 221144958 442756440 1000000000000000000 376360754 41875091 161689634 13687069 1000000000000000000 473529166 211843909 218022250 54436277 1000000000000000000 610098554 121238159 32254960 490025110 1000000000000000000 502798796 336843104 394236323 349422817 1000000000000000000 70610783 65295775 60061901 35295054 1000000000000000000 94661389 11432952 1113195 7927298 1000000000000000000 946291645 863041942 439760983 686885534 1000000000000000000 41631752 37429024 4062580 21199771 1000000000000000000 567634730 41093937 454126792 4573489 1000000000000000000 373576113 78490617 88840360 110749799 1000000000000000000 972202339 763978387 614718217 225126136 1000000000000000000 230281413 229191261 3760515 51139884 1000000000000000000 96093514 11832683 88889520 49936452 1000000000000000000 222763304 58661263 156989699 61968411 1000000000000000000 815806533 469840680 147229407 213506479 1000000000000000000 212118139 49378269 183047269 3041362 1000000000000000000 658305137 554471943 196404432 92858202 1000000000000000000 158590468 81545481 19662393 126243291 1000000000000000000 101528569 23868007 7184718 48203144 1000000000000000000 310379920 2694051 41778594 245711812 1000000000000000000 843894786 145728804 441296946 476662999 1000000000000000000 118040895 81844236 75776349 86559821 1000000000000000000 294080779 53097024 108531510 192095718 1000000000000000000 548853949 140025453 517278202 143600014 1000000000000000000 947273570 593444655 781055921 867881698 1000000000000000000 140838358 70430738 108416912 88072441 1000000000000000000 689044817 178803228 560279530 179577580 1000000000000000000 915359335 8979650 47450149 442364773 1000000000000000000 877054795 400946211 598806804 288943020 1000000000000000000 92049778 51870532 38828815 19906932 1000000000000000000 734938281 574179892 157745956 473121107 1000000000000000000 324392333 216234779 156900 4775117 1000000000000000000 230627302 80144905 173613275 212192509 1000000000000000000 285322569 50062787 19516248 237710088 1000000000000000000 319496549 242942522 270744195 199526318 1000000000000000000 936080803 752904324 728760135 259937664 1000000000000000000 364109028 225916967 213664839 340061661 1000000000000000000 93727611 49218541 22754008 31408538 1000000000000000000 102669361 40341203 74941288 51339259 1000000000000000000 85956612 11482210 64614982 49543128 1000000000000000000 244145733 56439905 144418922 148966005 1000000000000000000 541930104 113651533 15142426 515662218 1000000000000000000 198622507 154523702 131662096 15943526 1000000000000000000 290514043 193177772 151213549 25988255 1000000000000000000 86765241 17827919 67136332 23967272 1000000000000000000 500108804 122902522 82340504 139945306 1000000000000000000 248270556 84936315 215676094 62202007 1000000000000000000 679469593 346248361 240682040 70041595 1000000000000000000 499890308 489928711 483491160 59984687 1000000000000000000 440008349 107259178 212686344 325762592 1000000000000000000 383602298 283202184 138730386 365561486 1000000000000000000 636530002 198301245 144752017 468188050 1000000000000000000 239830538 89486444 38830346 164330563 1000000000000000000 574218512 507275625 325192060 301587440 1000000000000000000 23603512 4068852 7673159 11121848 1000000000000000000 816534659 539118721 19938052 387615163 1000000000000000000 158841493 42055145 127605335 156922614 1000000000000000000 238202415 89668365 106041998 115165949 1000000000000000000 959728434 837551694 717264022 903975553 1000000000000000000 566054212 506391594 559827124 107341742 1000000000000000000 836315987 359536321 322029950 795097438 1000000000000000000 432148178 49555830 222405813 195424373 1000000000000000000 250029727 227728868 149892651 156327720 1000000000000000000 874957251 297632685 118499905 500803410 1000000000000000000 528882767 255804699 343886977 382543414 1000000000000000000 282781383 118795659 48263580 145025934 1000000000000000000 743249410 700698896 742896389 150212195 1000000000000000000 469168779 103502764 106888163 349723605 1000000000000000000 289805261 270800487 96161971 282567301 1000000000000000000 209490592 75278697 197440535 20568274 1000000000000000000 452765913 377400036 178257586 389898078 1000000000000000000 431216732 97066887 149086312 32195441 1000000000000000000 778700882 635353736 587039871 533147605 1000000000000000000 610545020 268020922 428679341 151286851 1000000000000000000 952943373 808082855 243128639 364565931 1000000000000000000 481184425 373293315 397829186 133854935 1000000000000000000 633001669 601517574 218347220 229288768 1000000000000000000 72054059 38038168 37305542 1579772 1000000000000000000 486665454 191023007 314428768 70838630 1000000000000000000 763579555 684582513 396655735 617229579 1000000000000000000 926424123 919533930 580217590 708288319 1000000000000000000 350788638 10260620 190882981 102166414 1000000000000000000 722156259 519247578 220213673 393535068 1000000000000000000 62710924 59772066 19414669 39356793 1000000000000000000 124409293 63961219 21194590 5173972 1000000000000000000 996544547 454280274 132274165 588034770 1000000000000000000 64690061 7171698 17098363 577395 1000000000000000000 350061894 30983600 165755902 9071422 1000000000000000000 601408548 595013602 259256974 574789827 1000000000000000000 160978357 50760625 65881628 101643096 1000000000000000000 279721200 262946935 111326288 50281337 1000000000000000000 152612844 16667772 83751854 63250980 1000000000000000000 124026735 36940018 27354194 10726091 1000000000000000000 973786810 692574479 493479216 361221114 1000000000000000000 626525178 591663286 291463332 93218472 1000000000000000000 384180564 64983466 239185822 2900286 1000000000000000000 971613509 724354347 70205097 734957231 1000000000000000000 348931775 343008168 337482054 335166875 1000000000000000000 915700669 242992265 120885322 211985382 1000000000000000000 819539460 267148314 334549541 355295369 1000000000000000000 48830911 45645793 9456786 27466862 1000000000000000000 362456022 120604481 21479607 68390768 1000000000000000000 546069838 110301738 153125678 296961260 1000000000000000000 282149381 168454890 41529713 138454082 1000000000000000000 885191432 493925901 503554339 592252149 1000000000000000000 426032342 223939255 245277938 377969075 1000000000000000000 739602754 122850615 295686821 394083322 1000000000000000000 577864589 130298627 535752324 275137773 1000000000000000000 175309319 64789430 83541149 146908918 1000000000000000000 831840823 145183072 426603514 160192050 1000000000000000000 186609646 177383432 105909460 36866538 1000000000000000000 243970717 140941754 34713538 127595166 1000000000000000000 997797658 100425759 568715877 477676813 1000000000000000000 426164343 45795795 46048822 212618193 1000000000000000000 447890974 406215765 377829296 28689354 1000000000000000000 262724317 197915210 52772236 262306845 1000000000000000000 566383961 388591603 386861334 457759658 1000000000000000000 192852479 69120105 16626203 179208044 1000000000000000000 978025421 197684638 254625834 597142416 1000000000000000000 228779980 224793529 224480328 23869643 1000000000000000000 815967243 679453304 240541965 112109248 1000000000000000000 368141667 266429265 54029142 127602738 1000000000000000000 930891205 754736981 569283563 531231531 1000000000000000000 67874646 18827668 40580300 55659897 1000000000000000000 216796907 115472148 20764990 190779237 1000000000000000000 412247404 236385974 301985188 195978287 1000000000000000000 897214699 720557429 170309995 67188258 1000000000000000000 286479974 51746164 136077223 272085894 1000000000000000000 553769995 110622913 32568100 64339643 1000000000000000000 167018407 34595722 54685099 161158545 1000000000000000000 968842028 641152109 794429712 403859063 1000000000000000000 505565466 250782613 394884104 190970168 1000000000000000000 756526392 440546508 257110809 316872563 1000000000000000000 389800948 269720242 251756416 267969150 1000000000000000000 667086841 557249472 51432654 559129744 1000000000000000000 969165284 585909095 526878827 604358028 1000000000000000000 8955822 8952800 2384116 7827936 1000000000000000000 920156784 46408572 531698936 720730172 1000000000000000000 265752168 200002856 63728267 20431029 1000000000000000000 299038226 277115437 176826603 65911782 1000000000000000000 897828054 235313358 769215210 707928418 1000000000000000000 791921730 179889285 64330207 416250721 1000000000000000000 646310928 76288337 481211790 56247185 1000000000000000000 720839363 688999258 220849023 144851469 1000000000000000000 297823291 268678843 232203577 233041260 1000000000000000000 758753019 386210959 395449130 721065896 1000000000000000000 755450565 46104920 450927060 577019942 1000000000000000000 307890668 69118776 292936511 233818127 1000000000000000000 284011006 210129111 281150850 226789824 1000000000000000000 876711404 813713375 549398856 677557908 1000000000000000000 720705834 307477572 702631619 407722387 1000000000000000000 746790295 5741286 110905717 239237342 1000000000000000000 298465091 108389484 4667045 212489548 1000000000000000000 797001341 653333592 268633570 294304882 1000000000000000000 127165439 65637071 124533039 18038758 1000000000000000000 515607477 406165817 359715600 421236638 1000000000000000000 953364181 536203643 880674365 60429630 1000000000000000000 803154498 372184304 390287444 70340309 1000000000000000000 826561332 88210840 67922144 394979393 1000000000000000000 741913807 498042149 294950452 517074339 1000000000000000000 998405682 516919342 552510475 539669715 1000000000000000000 31505843 21742852 5759774 29381734 1000000000000000000 722247955 26480702 656015438 158165081 1000000000000000000 412876395 241635714 172819644 102649285 1000000000000000000 151721167 141814754 123156034 41661120 1000000000000000000 41126414 39003876 12990975 9783804 1000000000000000000 485798128 38497686 264981067 46083404 1000000000000000000 813924399 620096889 587955209 595343832 1000000000000000000 764665927 335295555 551712301 424303819 1000000000000000000 988788817 464239666 21050951 43040213 1000000000000000000 827748742 608659586 445727847 47948207 1000000000000000000 323724795 66296888 120550748 89613865 1000000000000000000 924122397 172023369 789908869 337961441 1000000000000000000 704895755 702561111 442984219 384423258 1000000000000000000 238503366 229280222 214351283 183720816 1000000000000000000 277188452 97693761 668360 262022824 1000000000000000000 613991897 160900749 487425849 335553718 1000000000000000000 787686696 31680182 323433078 345535307 1000000000000000000 129634280 61474684 11264869 52056197 1000000000000000000 925066374 823813935 677708527 673199760 1000000000000000000 432478361 25393999 269146598 295456143 1000000000000000000 583328807 40731715 37535407 387194964 1000000000000000000 618417923 389050148 556683574 312245407 1000000000000000000 961688262 548007862 211033860 833353232 1000000000000000000 564575714 164467286 494944388 327835046 1000000000000000000 149037803 7982748 134531365 68733304 1000000000000000000 20479159 14100317 10335439 20263434 1000000000000000000 382032783 196459350 116435816 22229619 1000000000000000000 239626741 156610078 106495276 100393676 1000000000000000000 779294895 339840136 396318292 34171393 1000000000000000000 242618639 21463722 102362586 156160366 1000000000000000000 820297578 536290842 602026925 357745271 1000000000000000000 383561872 281174575 298492847 148006141 1000000000000000000 902652916 356642591 868498059 120307117 1000000000000000000 323337285 220163292 11647310 201239710 1000000000000000000 481767418 321551161 339024407 322378134 1000000000000000000 321092575 186278559 286892397 14528241 1000000000000000000 254098625 114705868 169928675 127940089 1000000000000000000 678595880 464083616 80850186 159069375 1000000000000000000 359532110 281715922 26193559 296886031 1000000000000000000 572341304 498794529 412341121 454921490 1000000000000000000 64215148 12107950 9463466 54030381 1000000000000000000 219630610 76573113 74469728 213352451 1000000000000000000 941937871 571922097 685366489 412606863 1000000000000000000 342457027 133833405 111873258 193838350 1000000000000000000 870262268 554799175 656562813 460595634 1000000000000000000 586069119 203551843 300961796 144376641 1000000000000000000 322531903 288863483 101789322 69013047 1000000000000000000 847650254 817482070 788049986 41621831 1000000000000000000 570005682 464044428 396147018 443057608 1000000000000000000 780513376 356928977 10425548 427658036 1000000000000000000 275576929 2810412 198135536 211954542 1000000000000000000 525757579 206465512 314935899 301830758 1000000000000000000 716697543 337617326 94714378 385053876 1000000000000000000 315111707 34885276 80366533 21610355 1000000000000000000 223974210 42168026 142576826 53355081 1000000000000000000 458042894 86256219 396617560 422593093 1000000000000000000 41951241 32012499 19298902 36970190 1000000000000000000 575481056 435565145 357514295 397344274 1000000000000000000 815563461 475224587 445559236 731525063 1000000000000000000 560430018 459264825 500877203 85666547 1000000000000000000 665715756 209113151 453498627 619957099 1000000000000000000 921932608 454635866 179810521 521015898 1000000000000000000 219613441 128248166 148988990 89455115 1000000000000000000 3596116 3104423 2830882 2067655 1000000000000000000 503986712 122282362 483425337 445422976 1000000000000000000 17177021 4929484 9936065 12949867 1000000000000000000 24038051 1674049 12189898 8136344 1000000000000000000 951233512 853474176 571479395 897759384 1000000000000000000 607413975 342538593 430424749 154664552 1000000000000000000 270397539 133553902 226706449 116013291 1000000000000000000 905899468 889545387 4077409 382236820 1000000000000000000 780942004 715516706 378937389 22084761 1000000000000000000 464680385 165695279 354991670 43884368 1000000000000000000 17887465 12831154 3814789 262806 1000000000000000000 404226800 177167419 138472978 263618949 1000000000000000000 332569619 293763097 90182910 34523269 1000000000000000000 568059921 484244194 162049716 405446241 1000000000000000000 483890598 158366988 306503747 272086499 1000000000000000000 653418338 62161956 595324814 624038687 1000000000000000000 86199520 28308861 46279981 2476131 1000000000000000000 618413484 327067422 504266130 81460202 1000000000000000000 930971052 181125559 315384923 4107179 1000000000000000000 881316435 49590977 174314424 220037086 1000000000000000000 76865425 50327341 68659373 68098939 1000000000000000000 369726641 185738383 69283314 38586790 1000000000000000000 961999179 843345085 117518338 351963227 1000000000000000000 274527355 220165208 212720682 167581046 1000000000000000000 740615172 143158350 447168767 88455544 1000000000000000000 853365909 568921332 343706877 692433084 1000000000000000000 302386810 128928133 255573596 289577992 1000000000000000000 605868387 431589934 418595093 515043929 1000000000000000000 389632098 253799176 24168210 356066807 1000000000000000000 562119819 249810088 3092687 489227437 1000000000000000000 644116012 367521527 226971171 525708577 1000000000000000000 777796934 415247395 541922767 401670571 1000000000000000000 922166567 419954537 151805536 855699947 1000000000000000000 109730478 31874170 84892941 85158278 1000000000000000000 929662887 657959660 320178298 613146776 1000000000000000000 991840616 893700966 243257794 66848671 1000000000000000000 551421254 87320377 521167179 392425823 1000000000000000000 416571015 37122821 323201334 395205998 1000000000000000000 390005498 188969214 39121324 329942723 1000000000000000000 191202402 154837993 154267031 177258407 1000000000000000000 554972495 182054428 220057553 362440505 1000000000000000000 864976178 391152907 842239406 422843106 1000000000000000000 333640250 297668890 129815424 94842436 1000000000000000000 277167740 268633991 22586695 66327585 1000000000000000000 665782854 388298709 577707230 249858776 1000000000000000000 228539110 12397936 204616068 66178230 1000000000000000000 115669905 61004974 72367372 115564988 1000000000000000000 392907343 125430262 107697678 160771904 1000000000000000000 958586271 337911084 132114077 823124158 1000000000000000000 737553722 164184780 226679190 494027909 1000000000000000000 636833242 242849232 217447275 371221692 1000000000000000000 34813003 22815370 8947584 21329268 1000000000000000000 276143076 58987414 185282964 219363706 1000000000000000000 890602406 136402868 884898880 19106335 1000000000000000000 889884137 46880272 633348941 812380892 1000000000000000000 68983968 29883975 52557527 2162824 1000000000000000000 115619348 67181853 114746929 84850901 1000000000000000000 623356142 404445507 1911311 328965880 1000000000000000000 506501417 387776213 55022969 129576330 1000000000000000000 767857643 216693932 296306512 107723925 1000000000000000000 858186171 538505729 5037347 716763448 1000000000000000000 141124722 12611171 46271372 62892777 1000000000000000000 824682632 46527672 328128777 170035076 1000000000000000000 537508087 437082760 71123322 177736400 1000000000000000000 709967567 308493480 25747642 234094406 1000000000000000000 974195160 166443518 86138001 460294748 1000000000000000000 477584732 402753510 164689932 161081681 1000000000000000000 750029394 220563499 233091717 35305392 1000000000000000000 894683720 58446546 326514011 433219477 1000000000000000000 540624497 50196452 483133771 4335116 1000000000000000000 749190977 684897833 337878321 724288172 1000000000000000000 608701157 379946464 600409863 390253256 1000000000000000000 255024191 47815110 31666914 76245457 1000000000000000000 222540722 101958378 139155535 101223075 1000000000000000000 379002265 157099699 132929721 24747278 1000000000000000000 677807221 559734302 55098466 605490986 1000000000000000000 642778668 466167240 221218437 362289753 1000000000000000000 69243562 16272842 39121145 38937095 1000000000000000000 739635401 345462456 261081771 420388577 1000000000000000000 953619220 408578883 842106691 667110305 1000000000000000000 381532813 185296084 343031272 26222574 1000000000000000000 892765913 190618053 652990573 881906766 1000000000000000000 702771385 75194698 279615558 281147496 1000000000000000000 642933042 49367878 634973972 55683863 1000000000000000000 570993980 312777958 14285388 540943917 1000000000000000000 62657630 48312393 5869191 25202253 1000000000000000000 448619099 68154236 410950053 445396725 1000000000000000000 367671971 186762715 120097314 65936871 1000000000000000000 770748084 134140729 211053772 494765110 1000000000000000000 423314138 296030586 381489484 150355616 1000000000000000000 273140423 112158607 135256050 106313335 1000000000000000000 957697289 282500141 121424022 731821032 1000000000000000000 164205932 66818604 141787816 140088131 1000000000000000000 850003676 272187655 342174586 701212050 1000000000000000000 333476041 29969183 187291429 205390672 1000000000000000000 972080249 862167907 302359542 262987660 1000000000000000000 513748109 412643643 463639482 143586376 1000000000000000000 607420574 560973656 458677712 540789037 1000000000000000000 825838907 718421614 587735179 505443556 1000000000000000000 575205274 111122352 492252950 298107459 1000000000000000000 811176774 548740836 320886961 189694337 1000000000000000000 792250780 128085788 654934128 693037634 1000000000000000000 675396895 120839226 231159563 583931034 1000000000000000000 247937912 238067052 21829331 180814692 1000000000000000000 411021943 218495766 108330263 61526438 1000000000000000000 224474405 210610900 134840526 213503471 1000000000000000000 430128920 406031951 42889729 247668486 1000000000000000000 449283985 107198997 174118058 294246016 1000000000000000000 464168050 384492768 44884834 238288747 1000000000000000000 319257155 127329184 255049487 110790640 1000000000000000000 196081100 46993155 107244296 33458153 1000000000000000000 250307075 235876994 26615261 90197382 1000000000000000000 555289810 184347059 208520270 71581953 1000000000000000000 179084600 68653532 9284966 136416923 1000000000000000000 278186405 68554047 109848899 104583729 1000000000000000000 678144270 220950471 270530146 270514666 1000000000000000000 214620847 84932918 26314199 10253730 1000000000000000000 574960715 381272648 189247888 46831387 1000000000000000000 872681083 781409266 423803603 214503759 1000000000000000000 653215722 653030857 525498017 164688312 1000000000000000000 733550953 288704993 361308938 483985850 1000000000000000000 637540516 49004557 42781799 240656617 1000000000000000000 560856543 143903339 162822556 164927665 1000000000000000000 660105946 259270381 560818453 642855602 1000000000000000000 633489318 625822174 191959489 534504301 1000000000000000000 533322956 108120624 7678565 509912887 1000000000000000000 164454074 148622076 54205949 108717975 1000000000000000000 482228076 147604899 256474717 478524752 1000000000000000000 811671532 512014608 741932448 243954734 1000000000000000000 65895337 49016826 5312385 38887901 1000000000000000000 973003502 782286305 377015976 468263960 1000000000000000000 609636128 72364491 397885128 355734212 1000000000000000000 635199861 50345896 613498203 231663296 1000000000000000000 384763468 217278427 243716636 77661264 1000000000000000000 862215549 768203497 213829010 629454381 1000000000000000000 148506465 1375091 100214528 38528502 1000000000000000000 164992324 52629815 141159139 143543681 1000000000000000000 227016071 217572298 42439011 224889288 1000000000000000000 57413935 2101228 27890594 26130337 1000000000000000000 985207148 287280972 794922340 894205729 1000000000000000000 113690937 51666576 112510054 38862328 1000000000000000000 621841947 33690859 92461647 32719345 1000000000000000000 304055301 62766743 92062320 9708942 1000000000000000000 565432582 318546791 477293479 56788524 1000000000000000000 751064213 66852263 469614344 349221847 1000000000000000000 194354509 66390402 9869205 137793411 1000000000000000000 616815768 134116393 387478746 36755132 1000000000000000000 510433260 54155380 31017305 48170149 1000000000000000000 487092457 142237581 194816397 454761211 1000000000000000000 606300910 340668499 553279350 148319357 1000000000000000000 120628536 111047553 24295279 109088237 1000000000000000000 447374794 16812920 366442947 87622142 1000000000000000000 521892774 226481101 64731539 260542892 1000000000000000000 54768920 9821908 38586112 16173892 1000000000000000000 127539174 50283575 44135151 45257231 1000000000000000000 319599004 202153147 313576615 134070856 1000000000000000000 622044529 402490137 33911329 117492456 1000000000000000000 497712995 35616767 299561065 200430571 1000000000000000000 43247545 4334922 12819618 33996743 1000000000000000000 706093590 48154427 608961338 58995995 1000000000000000000 399938773 318154309 263441320 276865541 1000000000000000000 95475823 94824295 20062857 46086395 1000000000000000000 960730413 764966840 86031216 127832724 1000000000000000000 556092762 120740710 35031129 105508059 1000000000000000000 771557122 164370430 660869871 93849124 1000000000000000000 176753715 145157937 69225989 25851614 1000000000000000000 245795782 68969870 173081561 27639684 1000000000000000000 926937078 108206136 264209086 288740049 1000000000000000000 919819954 879889748 500000198 469037854 1000000000000000000 44672950 10387237 34655232 42655518 1000000000000000000 619651968 37918836 383778369 84182806 1000000000000000000 700245336 184602528 479386600 1051809 1000000000000000000 733033376 513925252 194391730 373209906 1000000000000000000 143586892 86915904 116716266 83177728 1000000000000000000 367197972 257372873 38809200 120197527 1000000000000000000 56705374 1379745 50358216 36649166 1000000000000000000 215247281 30477561 100820414 84630600 1000000000000000000 540820556 516686803 100296074 30470138 1000000000000000000 412898396 68746530 212205176 25978655 1000000000000000000 124124881 71476315 68380506 108877772 1000000000000000000 986063601 119955075 353589579 195224203 1000000000000000000 596694118 473118220 191091365 178826601 1000000000000000000 113792250 94227951 56785495 110763027 1000000000000000000 367320348 356688362 203893595 36823437 1000000000000000000 77480494 49297227 46446681 23406145 1000000000000000000 969887358 701186845 733847727 248769060 1000000000000000000 133725743 111207978 20101838 114289016 1000000000000000000 877326868 369614970 38876970 553255398 1000000000000000000 824434075 434330344 100294769 295408547 1000000000000000000 13458394 4567375 7961505 12174669 1000000000000000000 993521349 396630378 336804144 808231378 1000000000000000000 504167420 194214936 394245063 285816241 1000000000000000000 544836710 246143498 130446021 486400508 1000000000000000000 795221260 388696302 222812430 497584286 1000000000000000000 338385104 326012644 14513387 245103818 1000000000000000000 918241862 863857723 722356116 70708134 1000000000000000000 465361193 216851272 398767143 341014341 1000000000000000000 583745631 41752565 442451601 311998764 1000000000000000000 128435813 47630041 74895733 61533148 1000000000000000000 167435756 158855721 23638212 139327872 1000000000000000000 616590684 97063758 147845304 267907443 1000000000000000000 184664216 58420152 3130768 159580313 1000000000000000000 635451761 621245816 358477413 86081362 1000000000000000000 854504850 521175328 197553814 705526996 1000000000000000000 873895207 866774419 542935772 688790287 1000000000000000000 170291819 85032817 108064004 17223436 1000000000000000000 783001468 632417336 179138885 147952631 1000000000000000000 563837082 359242030 536847897 43530447 1000000000000000000 458432505 383504906 367898673 311761919 1000000000000000000 245389983 147450460 227949874 31754195 1000000000000000000 230566191 60361792 217554054 74556909 1000000000000000000 430473721 186097670 94644231 305523135 1000000000000000000 156185939 80729352 3619020 60904940 1000000000000000000 259057637 182627447 92620880 181968764 1000000000000000000 87519050 14046115 6939030 56823171 1000000000000000000 166832744 46689898 57320615 82748744 1000000000000000000 422270905 262625137 167666372 270682750 1000000000000000000 888970916 164353194 703940127 580115409 1000000000000000000 285520667 26440921 4333646 151258826 1000000000000000000 874498314 862404048 155421140 223363408 1000000000000000000 86478204 46946015 59991756 67042693 1000000000000000000 812907916 725935448 403811152 266638050 1000000000000000000 379874096 78735281 98658356 25255317 1000000000000000000 306285108 187827417 42672020 105201401 1000000000000000000 655067979 407042330 438554454 604028694 1000000000000000000 713165698 662704786 658950126 237057872 1000000000000000000 319342313 168342279 317731859 257245852 1000000000000000000 668728443 250548575 277432511 384066420 1000000000000000000 838983448 426005211 774083289 314932675 1000000000000000000 486671676 31504938 308225046 172121335 1000000000000000000 723072865 605348558 228741293 516496033 1000000000000000000 759751157 131040278 418079564 654078673 1000000000000000000 771541837 172103779 613321702 621853266 1000000000000000000 782149892 361301209 601622335 573844642 1000000000000000000 255527285 156392221 25536153 231941257 1000000000000000000 549282299 529784122 397479331 492538227 1000000000000000000 402218090 42327785 319725850 360799019 1000000000000000000 257313766 78261303 70755493 256205446 1000000000000000000 120958395 22024615 51395191 108027586 1000000000000000000 565641720 460911776 49393034 530713541 1000000000000000000 376463092 186296832 313364184 35767515 1000000000000000000 169697761 77105702 62520811 30951441 1000000000000000000 74452509 26809005 18594376 30837542 1000000000000000000 798776958 546059339 487449299 781479641 1000000000000000000 427779593 202504564 7683789 267258886 1000000000000000000 18798432 17381779 14361710 930009 1000000000000000000 415549945 116106653 70886529 397081909 1000000000000000000 699351294 75424609 539092213 276461932 1000000000000000000 984438818 140563535 965122614 633523615 1000000000000000000 898149536 63516465 780037220 540920099 1000000000000000000 752200133 676171778 616743154 534503216 1000000000000000000 40613076 6600306 25485974 14473122 1000000000000000000 809370920 49643633 275643813 171469713 1000000000000000000 850081547 203301438 419956967 171046880 1000000000000000000 454873073 143400721 314353405 284934894 1000000000000000000 547811354 13864817 484178819 357962516 1000000000000000000 941338701 641018996 434284604 576279084 1000000000000000000 82463578 67604278 4900730 60713621 1000000000000000000 34755747 4104911 3051266 10625329 1000000000000000000 913010944 797617504 514114109 910027447 1000000000000000000 965954494 108424004 475925357 223476078 1000000000000000000 425118614 337270142 287308563 387524051 1000000000000000000 79382673 32071088 31112572 49899578 1000000000000000000 994946573 425866416 18098038 862002536 1000000000000000000 318064496 230825476 298853361 110701265 1000000000000000000 471755997 451815835 400711832 279574970 1000000000000000000 966028431 577705691 498589079 510034290 1000000000000000000 49852762 32921846 11930029 43869590 1000000000000000000 515809617 384555351 192449183 138662564 1000000000000000000 309416844 222467654 160196747 7820553 1000000000000000000 241907065 50176893 122290935 65544508 1000000000000000000 554852847 278033030 219528008 300094538 1000000000000000000 424351779 263125741 303205550 249904231 1000000000000000000 359648251 205266484 241880234 340209430 1000000000000000000 975379395 168522818 940337911 709491683 1000000000000000000 705130687 691339084 351158579 424175884 1000000000000000000 705046404 75323235 696499412 203455935 1000000000000000000 339781298 241614617 58071145 164404873 1000000000000000000 20085538 6709 18779414 17621178 1000000000000000000 106972855 36299145 31838932 106296317 1000000000000000000 737048648 705887540 691225251 550527292 1000000000000000000 672102751 346264431 162056182 33984718 1000000000000000000 340131924 268490119 268765144 217798128 1000000000000000000 607755277 181783955 167130674 509565985 1000000000000000000 207697043 73142719 114503164 159994935 1000000000000000000 536816069 501960925 349126765 4742633 1000000000000000000 101037205 53891670 90018980 77525984 1000000000000000000 413324975 72855633 165439801 76011475 1000000000000000000 895442352 333603181 785363613 604749460 1000000000000000000 788686857 624433124 270836582 339801330 1000000000000000000 520181325 91930938 66716673 407882878 1000000000000000000 791887241 112136918 433055725 420773817 1000000000000000000 96278339 18294274 41441760 3922271 1000000000000000000 109114256 30354607 19731267 63275035 1000000000000000000 548419245 257776028 85424154 44332386 1000000000000000000 578776676 545063774 25757938 213123132 1000000000000000000 747077098 57387121 413786639 418858786 1000000000000000000 262279699 256337502 97204266 31846302 1000000000000000000 510393155 368020530 231624664 56346646 1000000000000000000 263486293 202247279 84804503 112761964 1000000000000000000 136784605 131357799 99178098 124142417 1000000000000000000 958134759 622639162 399542821 399419041 1000000000000000000 510603581 386848925 198523312 333484509 1000000000000000000 940649586 213228530 430850457 295730574 1000000000000000000 875999906 552733957 771896241 511402243 1000000000000000000 147136548 46249287 3500003 137886880 1000000000000000000 170226788 154959348 135253547 79872868 1000000000000000000 175198203 173713313 31760010 9035257 1000000000000000000 287922075 245543493 48699827 254085979 1000000000000000000 669754504 359584775 464731975 168860837 1000000000000000000 219737670 120905397 187566183 147114372 1000000000000000000 4568388 656365 3803382 3707034 1000000000000000000 46006071 43055597 12175348 17292532 1000000000000000000 387417097 19277829 296026414 200936383 1000000000000000000 47461784 27187830 10533840 15577344 1000000000000000000 462641773 403657517 455255175 39119439 1000000000000000000 467429926 345539066 165804939 121591144 1000000000000000000 137751696 81012645 110789819 74665806 1000000000000000000 426721019 305254236 418776986 51881066 1000000000000000000 166834435 86527808 81255480 31133190 1000000000000000000 750652152 12528626 74744149 87575566 1000000000000000000 125184708 45943237 5529770 107731412 1000000000000000000 347746 154335 200206 115131 1000000000000000000 247051090 133825008 224531340 175809479 1000000000000000000 509266075 446294490 433087168 359017570 1000000000000000000 612373415 450438690 530807960 226944980 1000000000000000000 198629639 105875768 78695132 102923473 1000000000000000000 919227443 19695313 676800661 914942398 1000000000000000000 556586438 209704429 27241350 517813829 1000000000000000000 759458147 201154246 294566728 396863737 1000000000000000000 637279796 157900523 159906169 350639053 1000000000000000000 358905402 35085339 209905798 22551750 1000000000000000000 132631898 14263243 53010919 66952541 1000000000000000000 907065106 584576041 558048396 107708544 1000000000000000000 583149759 491638268 159489575 283475434 1000000000000000000 458722025 294992458 20885609 8775157 1000000000000000000 798921914 101114977 725938914 490710167 1000000000000000000 850833820 127406985 697570015 398729662 1000000000000000000 211169 24472 34873 20465 1000000000000000000 696932751 405238404 168603420 528651775 1000000000000000000 798175679 622242207 547859786 175384214 1000000000000000000 108432246 102656864 57820440 52611401 1000000000000000000 582363111 494629215 581134775 439053360 1000000000000000000 729305290 564236242 690383148 728193554 1000000000000000000 859056616 134489039 765014684 701286234 1000000000000000000 431866183 143975900 172740474 317069924 1000000000000000000 869165454 539232302 396250214 22765816 1000000000000000000 408886573 283535965 47311700 48674594 1000000000000000000 154294846 116978794 10768838 65553417 1000000000000000000 646739245 598032226 320352369 238569330 1000000000000000000 404674240 333939037 295446405 79568488 1000000000000000000 982105385 496908208 262609461 68174831 1000000000000000000 648213518 112261412 72397430 524390322 1000000000000000000 365393992 94563025 235504584 58491400 1000000000000000000 411139964 374356514 88650719 365718992 1000000000000000000 136190219 33015404 107316526 67457893 1000000000000000000 541356738 356940445 143604701 284991057 1000000000000000000 335347664 279036799 211874817 177673603 1000000000000000000 718379980 490759204 168950569 21053728 1000000000000000000 585206544 407890082 96636458 294532759 1000000000000000000 639881586 292099038 521662864 355037802 1000000000000000000 316314801 193357774 140094510 181744581 1000000000000000000 918995867 665584855 326645743 348196889 1000000000000000000 658614321 149308052 14672148 555917079 1000000000000000000 637935175 54147736 408055301 592884635 1000000000000000000 881542372 799398700 632446792 424459967 1000000000000000000 619565202 471412327 443007214 464228045 1000000000000000000 978025260 58625311 643891981 566266538 1000000000000000000 821503787 638697771 187939640 575521934 1000000000000000000 1501484 1019679 579435 756243 1000000000000000000 168902618 80433399 75746275 66181060 1000000000000000000 487723982 47936216 320279984 277484273 1000000000000000000 778473654 744815627 502442020 33058153 1000000000000000000 10805996 6336604 8095860 7291934 1000000000000000000 625214231 150406773 211872638 421616720 1000000000000000000 952453475 683215738 403315041 178472174 1000000000000000000 83148184 81349254 974406 36513583 1000000000000000000 855673697 490685510 425023238 38315514 1000000000000000000 571734501 121727809 211362412 428305878 1000000000000000000 572818870 352307682 291875444 568356243 1000000000000000000 473488067 172619167 403184890 367025136 1000000000000000000 187776155 46543954 85372876 147451039 1000000000000000000 721695453 25560528 107418614 472428574 1000000000000000000 463576803 14884792 316512750 17545732 1000000000000000000 789392411 243110601 6298265 58785617 1000000000000000000 628415044 232279629 377404003 103425799 1000000000000000000 70861665 64840749 59531653 18548252 1000000000000000000 864118542 449881380 383202357 139246935 1000000000000000000 894461355 845332959 657165370 188188171 1000000000000000000 397666613 307488548 297649028 381491551 1000000000000000000 157938404 79039394 144288072 71461164 1000000000000000000 156197006 112591543 22644955 92201958 1000000000000000000 608322042 268746759 587845485 37875711 1000000000000000000 527322054 1147663 253201854 338032694 1000000000000000000 130562585 16732070 112351063 118319128 1000000000000000000 842341703 542315072 250642358 811242403 1000000000000000000 576356438 45949404 405751505 72199412 1000000000000000000 10882481 3629908 10626563 7968575 1000000000000000000 209886819 85611872 145022515 21990384 1000000000000000000 219188850 116498520 17443240 204403549 1000000000000000000 721235645 1263739 157218070 423346581 1000000000000000000 153627270 60660435 128098229 133921369 1000000000000000000 954796897 228892538 492260494 223036565 1000000000000000000 65006411 33652815 50160131 59383931 1000000000000000000 153839544 81405974 134022972 136477449 1000000000000000000 908996655 767264568 654824521 802562334 1000000000000000000 114788321 9065752 47763489 51520769 1000000000000000000 284398737 12680553 153417837 5390222 1000000000000000000 681905023 625443081 104459850 36211478 1000000000000000000 763954687 164360002 719317678 627629605 1000000000000000000 389079623 205025570 120037920 7578197 1000000000000000000 149713358 74035269 94930144 126222515 1000000000000000000 697366360 579842482 626854554 165795494 1000000000000000000 397251017 196784601 26192224 191849150 1000000000000000000 284469473 276972568 161704861 224585689 1000000000000000000 949823010 89046149 35283671 122715093 1000000000000000000 964886193 578929526 860025789 802709875 1000000000000000000 464698902 307369611 268291447 256591337 1000000000000000000 419038193 396134012 259854860 303552271 1000000000000000000 558398001 102227040 518001119 200834752 1000000000000000000 106552086 96455754 101634453 32565278 1000000000000000000 655762033 384514497 478599703 591281243 1000000000000000000 675705366 542829714 438436181 499301289 1000000000000000000 396177039 81951793 355972771 237270669 1000000000000000000 449223451 432779609 390369663 124809594 1000000000000000000 951058059 6051495 730929437 399269146 1000000000000000000 184943765 159444651 105925243 11142684 1000000000000000000 532727861 397290457 322737250 342863894 1000000000000000000 240373870 32322770 108516870 2515929 1000000000000000000 506661984 304506747 26643963 36669497 1000000000000000000 387545567 74465312 13900339 93663882 1000000000000000000 354648156 90105640 309640415 187053651 1000000000000000000 190268184 176811586 90450557 179478275 1000000000000000000 598952653 202993722 10462719 569718302 1000000000000000000 118088833 99367286 11776469 11684205 1000000000000000000 109289848 60220930 15701461 44387132 1000000000000000000 455900826 7482081 98003040 379031184 1000000000000000000 577025651 7516860 328203144 338698906 1000000000000000000 960224227 576350154 112615394 461172926 1000000000000000000 489760183 386765098 201550708 222750957 1000000000000000000 652054249 37498567 283013334 412452983 1000000000000000000 449437780 427674850 22486098 304626947 1000000000000000000 174578998 48792202 165599933 173059035 1000000000000000000 132396414 54493683 5825639 59854495 1000000000000000000 321742710 236602831 184231265 295527791 1000000000000000000 608060149 216103040 379640016 66353678 1000000000000000000 575058386 358310254 142627766 336921146 1000000000000000000 583206811 337323546 195301570 539630383 1000000000000000000 398527922 353195033 26037389 148781250 1000000000000000000 754325961 95433887 674189124 553773781 1000000000000000000 186089016 179532425 70407625 181432292 1000000000000000000 930666961 234187706 650173159 885133690 1000000000000000000 712205291 292199826 352115562 626519589 1000000000000000000 997835149 456861658 398874940 11613596 1000000000000000000 815556829 509319497 363156775 346267425 1000000000000000000 314143776 84431402 90406855 257160591 1000000000000000000 314987537 141746740 167744122 5317889 1000000000000000000 153106346 23783895 76066960 131596096 1000000000000000000 764178035 352847872 569939178 294543914 1000000000000000000 96129430 16302091 7380663 83732803 1000000000000000000 314855325 93923108 91178842 186882832 1000000000000000000 670145445 496858657 131521033 172833286 1000000000000000000 26055109 8710396 12258699 25454454 1000000000000000000 347989265 177012468 27294312 259728898 1000000000000000000 794215059 688417897 279427514 650697745 1000000000000000000 53881440 40347228 50798447 14003756 1000000000000000000 30849175 19505842 8016310 142702 1000000000000000000 956620008 899042783 178856059 303625001 1000000000000000000 479296626 326784572 88400722 176825230 1000000000000000000 44191689 39243170 9815254 25094571 1000000000000000000 909840320 225148533 38905832 347470234 1000000000000000000 825257156 489012195 247032478 740634667 1000000000000000000 678131535 406863727 283752836 618692067 1000000000000000000 517760020 475959901 190318243 66626657 1000000000000000000 954062636 752583318 93653003 296309041 1000000000000000000 172574517 70733572 1781878 142176214 1000000000000000000 186933787 82580133 83933103 106919149 1000000000000000000 845360228 802365156 672347969 215896391 1000000000000000000 373558362 80304347 19001048 315607365 1000000000000000000 825913594 793556244 279378493 681983036 1000000000000000000 259073099 48811493 69985286 112369685 1000000000000000000 795350567 514177668 726319855 74526021 1000000000000000000 983262321 515395544 760835013 560990348 1000000000000000000 511083787 170894101 244369055 205779600 1000000000000000000 418223372 6985570 93817849 370569071 1000000000000000000 814445782 365744533 538459937 540682705 1000000000000000000 971484016 99624608 723264150 588237611 1000000000000000000 984244068 816511524 895696593 757564076 1000000000000000000 11315351 10433680 4715950 2554704 1000000000000000000 704353806 253069902 578954312 434962802 1000000000000000000 983213925 554504994 962382313 346555898 1000000000000000000 293077714 165819857 250637450 113010199 1000000000000000000 840108090 360948471 814059278 199343852 1000000000000000000 138627746 1957546 135302754 21859933 1000000000000000000 682716098 257626643 540260005 670051300 1000000000000000000 24669466 20234812 14999301 8179692 1000000000000000000 169646210 54923329 104633628 76419473 1000000000000000000 456037069 82087263 219931051 399568476 1000000000000000000 17436875 1614618 345034 13888488 1000000000000000000 45594166 36455009 2860174 8645358 1000000000000000000 316925948 196957852 182022700 127570237 1000000000000000000 655594491 601434813 7871619 386860657 1000000000000000000 993268117 553930874 912994309 556612255 1000000000000000000 660644707 90510806 161847253 344961937 1000000000000000000 694594862 120143073 19671230 75656441 1000000000000000000 117663065 25514243 97342422 91676315 1000000000000000000 939189139 35880082 231265663 626144346 1000000000000000000 166521476 78184835 117839397 56191968 1000000000000000000 278564624 209268327 206844597 91684452 1000000000000000000 6437492 5434645 2130833 1483364 1000000000000000000 174114435 13261619 61379596 121517798 1000000000000000000 358229990 151209532 125717316 44960126 1000000000000000000 792921880 310147191 41774710 166821526 1000000000000000000 233080542 99550451 173214261 134315482 1000000000000000000 851372012 36591464 833318403 509220610 1000000000000000000 239963444 37651885 151368372 112498986 1000000000000000000 804420106 28372838 798658631 636366683 1000000000000000000 961562101 530451421 502473607 669263799 1000000000000000000 591036114 441820210 491883321 353279351 1000000000000000000 98758845 33234348 45913083 71627818 1000000000000000000 309798689 185473887 102134720 255779441 1000000000000000000 454086516 65341925 182711499 221758275 1000000000000000000 472305084 261498162 453279528 402991887 1000000000000000000 6884873 5947921 2923268 448646 1000000000000000000 557173179 210388446 288774727 361477992 1000000000000000000 150878521 69993832 9810842 3417937 1000000000000000000 948157841 244615309 722519166 947330271 1000000000000000000 790426701 3733630 581024766 222498741 1000000000000000000 121561840 121439425 1135829 74060866 1000000000000000000 655918560 192561148 593801300 222163651 1000000000000000000 879662582 133856329 710784416 694971416 1000000000000000000 368624150 244543010 175849895 260955435 1000000000000000000 6158651 5185289 3471444 5760183 1000000000000000000 859562716 643408878 410140657 515990502 1000000000000000000 645679765 610115425 84146393 282576726 1000000000000000000 604008430 250722530 590644883 576898036 1000000000000000000 669005070 441860729 334187689 298233614 1000000000000000000 470404052 269214239 185142390 267363907 1000000000000000000 533395067 159725469 317771256 74189745 1000000000000000000 157604450 69367263 36120950 20441448 1000000000000000000 22535913 9717961 14452791 10601442 1000000000000000000 132101547 23579282 31497848 60939816 1000000000000000000 552086274 9271191 419254009 464710030 1000000000000000000 844100305 547372105 423814034 570786796 1000000000000000000 330068457 64558618 221688266 93191010 1000000000000000000 794632749 550394651 218592149 261692125 1000000000000000000 417093412 351266263 300932519 15680643 1000000000000000000 737469302 122141972 241703701 290945521 1000000000000000000 705230530 543364729 603042247 357066232 1000000000000000000 815134986 413086472 270981036 308598115 1000000000000000000 423140578 30378384 153409604 113907972 1000000000000000000 673135807 326034687 82061664 344914726 1000000000000000000 405132483 133247329 272277699 365668480 1000000000000000000 137548454 109334290 65796186 18035177 1000000000000000000 982023644 652870094 135994714 416816133 1000000000000000000 684710194 640280056 42109804 542802439 1000000000000000000 128892141 68419207 114648424 15129658 1000000000000000000 474943681 389043771 113950058 453130451 1000000000000000000 36272903 10137880 21311723 22637645 1000000000000000000 611953441 398006335 199577121 411718374 1000000000000000000 74655424 42437963 62670067 60891202 1000000000000000000 6835118 3137102 1048254 3404439 1000000000000000000 174131831 62024189 119781300 68562459 1000000000000000000 339214139 160387721 183155794 203752254 1000000000000000000 177591770 3268694 119721986 109470058 1000000000000000000 396652549 327340139 64467919 269142043 1000000000000000000 427264850 231240133 35745367 324778040 1000000000000000000 925206616 60193330 366437893 59472581 1000000000000000000 395403157 61409900 205826782 182761293 1000000000000000000 520213937 498525761 95602404 380956072 1000000000000000000 523438884 445275794 420130046 482928113 1000000000000000000 654824744 631459959 42211482 254919840 1000000000000000000 484219334 114391654 152546843 310042151 1000000000000000000 955422358 776138784 535037936 2676414 1000000000000000000 501915114 197365428 47728823 132912095 1000000000000000000 13521745 288822 4221743 9816530 1000000000000000000 766364932 751088252 622015589 68076494 1000000000000000000 716622610 558725741 466787147 104481533 1000000000000000000 109782712 28542815 76157876 9804833 1000000000000000000 153266799 38827705 41906840 105260408 1000000000000000000 316314309 169307612 73269872 91131106 1000000000000000000 958506613 927618466 350478388 336491768 1000000000000000000 150937364 38665250 67021760 18930814 1000000000000000000 299759126 25692081 120813653 285311264 1000000000000000000 965441789 833157424 959735862 948671800 1000000000000000000 948251983 548464186 250797095 681495508 1000000000000000000 459706067 17089115 350642065 85797772 1000000000000000000 425904684 161254314 333706061 397834750 1000000000000000000 634069692 329512661 326442809 175864297 1000000000000000000 877032536 666653852 221789091 365887956 1000000000000000000 549773534 234759178 415205441 480180536 1000000000000000000 806026610 330776476 659734031 358987694 1000000000000000000 446428864 198918025 100543860 315024790 1000000000000000000 673250180 290118836 603655256 73564846 1000000000000000000 423115104 114588570 60811276 339765053 1000000000000000000 883485265 161979717 782395346 680206504 1000000000000000000 33178044 1868539 28247548 1142700 1000000000000000000 249320698 196167071 242905953 240776174 1000000000000000000 49983900 10817197 33963589 38107349 1000000000000000000 481969764 266606317 370588497 208118796 1000000000000000000 562261385 409519470 149544937 503085713 1000000000000000000 652706940 76462417 396197940 482912072 1000000000000000000 182824319 145457645 116863361 157337587 1000000000000000000 333603140 319653653 60939320 235889126 1000000000000000000 145688737 5619336 73418230 13930772 1000000000000000000 200944917 88535155 130492401 107275474 1000000000000000000 906010874 45128873 670572447 144469102 1000000000000000000 105312688 9365248 598134 97731705 1000000000000000000 593044188 210740820 390100020 534614776 1000000000000000000 979607668 91527700 400814977 531640405 1000000000000000000 534592125 357304356 442427207 447921645 1000000000000000000 631163203 359109717 33951684 618231280 1000000000000000000 558541503 78954291 545747361 275466350 1000000000000000000 481625115 202036955 130710935 259271253 1000000000000000000 348879297 260493947 235656897 182608857 1000000000000000000 243721407 145672678 108107287 193517037 1000000000000000000 685266149 226496101 532516081 138921872 1000000000000000000 790045530 688587668 19405446 577987339 1000000000000000000 309172206 173873097 260521663 122794021 1000000000000000000 272731008 117302422 216494457 199437730 1000000000000000000 303507287 121094827 246156229 89718349 1000000000000000000 707205036 617137387 326557025 462648039 1000000000000000000 497815800 455676791 80605120 390991693 1000000000000000000 818440780 674299828 124705100 109620985 1000000000000000000 900962180 855444232 120234290 658603530 1000000000000000000 64420312 17979802 5599272 49377124 1000000000000000000 728055932 691606368 118061395 506668892 1000000000000000000 624292176 4435949 398452017 230881429 1000000000000000000 174851436 121465208 46101856 29154826 1000000000000000000 282185998 248851385 66395345 11202624 1000000000000000000 465912975 66765277 421349224 445700944 1000000000000000000 997243761 947090706 6788826 83338605 1000000000000000000 914728370 644508522 769638768 336104372 1000000000000000000 529455457 274754187 191078715 149331719 1000000000000000000 12081295 1658883 6701497 9977402 1000000000000000000 250897334 171536110 65070437 115117478 1000000000000000000 718423556 584861158 152455005 123034466 1000000000000000000 654342361 246859066 480628966 578593648 1000000000000000000 259110987 110176881 249803062 147941779 1000000000000000000 129377111 60544568 11721904 111389038 1000000000000000000 162164318 158384862 14880654 47017070 1000000000000000000 272839357 151490869 209043900 186625867 1000000000000000000 763189824 415770274 456233977 196133055 1000000000000000000 194009513 9968794 163180165 43330396 1000000000000000000 972023859 766474134 735107937 8495741 1000000000000000000 640632309 573722190 181625357 194121694 1000000000000000000 211338273 153364153 194677488 74767642 1000000000000000000 370625216 93294744 252359646 106980411 1000000000000000000 211659100 127034507 37966387 190775816 1000000000000000000 610733144 498256504 233268935 62921437 1000000000000000000 330201572 322917724 183347863 72313483 1000000000000000000 716200854 637452760 489826735 635960450 1000000000000000000 387280895 255923260 280527812 104800128 1000000000000000000 1093111 572418 592522 353707 1000000000000000000 417047049 146729731 204438666 81923527 1000000000000000000 992109957 50156578 69331786 586388585 1000000000000000000 53946214 27962618 12996853 39367072 1000000000000000000 170560115 164683568 138241708 127156329 1000000000000000000 355258128 215870649 226957245 238282639 1000000000000000000 245843466 29269310 188779479 195696186 1000000000000000000 88493026 71300374 51969358 67690149 1000000000000000000 306800511 119426645 11401298 239121657 1000000000000000000 585653129 568874841 338294245 373671157 1000000000000000000 48993148 2346441 21241517 13233911 1000000000000000000 295826694 224789822 195241807 142248769 1000000000000000000 626530305 54120865 593295170 610064523 1000000000000000000 896763651 592970078 813602573 370557223 1000000000000000000 948625291 706818515 747209505 117650855 1000000000000000000 920539998 313999000 561618320 235449158 1000000000000000000 977664755 924011516 817311982 564413974 1000000000000000000 533856173 261657564 142583677 317352696 1000000000000000000 217948260 168357886 106760496 185627070 1000000000000000000 65673156 45297753 7767107 7084036 1000000000000000000 5937733 4939643 4174365 5505301 1000000000000000000 867418166 489787873 844220574 159947410 1000000000000000000 821848313 306810535 178017291 210179002 1000000000000000000 798510024 425782166 566803497 587900910 1000000000000000000 625965488 55541891 171026771 221234012 1000000000000000000 687029481 40330699 557100951 465905766 1000000000000000000 62485848 19851094 15708168 23648904 1000000000000000000 702054549 309321485 24097565 659902465 1000000000000000000 658389539 522201890 120518608 622572535 1000000000000000000 911779284 721358824 508712229 698019430 1000000000000000000 665074074 348580758 503907276 85093736 1000000000000000000 979119172 345985504 481766654 494429957 1000000000000000000 612622889 142183129 213452783 328010178 1000000000000000000 190034697 29050786 62320942 2127644 1000000000000000000 720817940 67066806 340406206 97178245 1000000000000000000 886995382 213859646 397497305 246890860 1000000000000000000 382973028 26841638 369787580 380781643 1000000000000000000 577888064 304250431 500377652 133025574 1000000000000000000 792916333 772388318 323906517 195568358 1000000000000000000 950685055 682018978 666971091 31581140 1000000000000000000 426943822 109580202 170530049 173536328 1000000000000000000 559920947 135929018 220562862 492928071 1000000000000000000 121595461 38185219 46837733 7110216 1000000000000000000 503533939 111306978 237711777 116939706 1000000000000000000 848008819 191520573 742590012 464874600 1000000000000000000 322566579 228047241 30837156 312645344 1000000000000000000 783880787 185344800 756196501 516920399 1000000000000000000 597838511 22094593 447124228 320428995 1000000000000000000 50386025 24976811 35895281 27951115 1000000000000000000 315214666 282247170 173414838 107549762 1000000000000000000 33952038 8673622 30672823 16397332 1000000000000000000 33686935 15725872 27377384 17918169 1000000000000000000 772053246 491633672 266009384 388826779 1000000000000000000 602454913 516238756 595298385 560033412 1000000000000000000 61174503 42670146 10266929 42161650 1000000000000000000 115809778 114374085 33945341 24373424 1000000000000000000 52272684 31395218 4596155 35826930 1000000000000000000 952145892 282382954 911751132 308492925 1000000000000000000 651370217 134914235 179788006 58812849 1000000000000000000 188252546 156957158 75700472 72254954 1000000000000000000 25849719 3875434 279156 3508463 1000000000000000000 211965277 28973092 9443219 204710107 1000000000000000000 771826842 172404948 453316532 278680314 1000000000000000000 799584011 439384999 23495930 158847437 1000000000000000000 104865979 104397755 91191000 16390585 1000000000000000000 10018002 8933846 4671734 1418863 1000000000000000000 277843846 235430052 175932763 236470126 1000000000000000000 628302224 279557418 202635650 575477950 1000000000000000000 120936168 23227548 86683912 19554169 1000000000000000000 382709387 261426845 199692970 227152753 1000000000000000000 629658981 9018864 74418387 12501881 1000000000000000000 140497678 55966630 9359630 80667446 1000000000000000000 283263347 159099937 224194616 37907926 1000000000000000000 534908251 474613104 39995331 208458235 1000000000000000000 951135536 322567988 324908692 791422126 1000000000000000000 626947605 71191414 544354879 273393980 1000000000000000000 604122702 41223434 17184644 72915670 1000000000000000000 478749976 53755171 10570701 183920722 1000000000000000000 551570878 112078776 220361176 139205055 1000000000000000000 585132193 407162082 294200937 546377343 1000000000000000000 292192106 40219005 251714458 80080082 1000000000000000000 703008232 182690241 26647640 399937705 1000000000000000000 874430363 854375539 340430113 689648726 1000000000000000000 934490279 477678295 15042867 204055892 1000000000000000000 728409267 12042167 219902847 20767534 1000000000000000000 272389002 118197756 57155114 197016519 1000000000000000000 138331379 125618099 29120894 14229064 1000000000000000000 685745685 245006697 369646458 554133729 1000000000000000000 331527825 169884070 65568450 146826511 1000000000000000000 720404329 370453896 319599654 19478339 1000000000000000000 538742324 267482637 351225092 424517995 1000000000000000000 511648178 325725465 304351748 16040499 1000000000000000000 186069220 112439287 10729424 182060263 1000000000000000000 743581526 477434875 277272344 458839430 1000000000000000000 41912390 36382633 17798763 14886898 1000000000000000000 137248815 57203270 122291843 65503081 1000000000000000000 269253583 147242650 208536493 112386485 1000000000000000000 459055910 162394665 140641757 400902874 1000000000000000000 673043154 543991717 21630200 49170008 1000000000000000000 186276290 4700359 169473894 135999910 1000000000000000000 343487081 122226292 178159252 68403938 1000000000000000000 943217507 775635399 449631312 295741261 1000000000000000000 558936070 397288166 256609777 183625003 1000000000000000000 40293621 40262955 37057066 9243329 1000000000000000000 259897031 156021439 158705176 156302179 1000000000000000000 721300558 515873989 27341315 149303336 1000000000000000000 115340109 14120510 57129611 22285111 1000000000000000000 184956702 157593635 24680754 108188324 1000000000000000000 41454228 15346307 24089550 34387013 1000000000000000000 52993745 28852222 40540621 49138026 1000000000000000000 102171369 24261589 15472040 56908879 1000000000000000000 120559558 59301491 879155 58685372 1000000000000000000 483111752 449160084 394279210 450440337 1000000000000000000 745551063 646101514 580034008 706314413 1000000000000000000 525920204 115506460 411576146 72379207 1000000000000000000 893881673 712744419 52634220 366162620 1000000000000000000 90464716 39557424 17484804 20012278 1000000000000000000 20940486 10576456 13407508 1884932 1000000000000000000 62934004 8190370 6114175 22302841 1000000000000000000 496940714 119569329 435185647 180305739 1000000000000000000 985622149 699159719 767779922 125713565 1000000000000000000 915375277 356886313 96855161 359794953 1000000000000000000 739952880 412835911 219482238 151669720 1000000000000000000 282033961 259720532 62999951 174251764 1000000000000000000 834126389 34470608 71415386 637236405 1000000000000000000 673426723 626160510 183714819 480413423 1000000000000000000 211123525 58424436 200864142 79561605 1000000000000000000 202487524 65766779 169744787 140839649 1000000000000000000 71002146 54742462 38872403 45247619 1000000000000000000 55062044 30488694 36751249 12905960 1000000000000000000 791519300 247270217 519177694 414180428 1000000000000000000 889825069 36067036 539903776 461174658 1000000000000000000 963736504 298848275 409995516 817773760 1000000000000000000 302800816 191198759 145004560 180992660 1000000000000000000 329868110 46469533 183439240 265412901 1000000000000000000 386971869 302108794 25195361 95858550 1000000000000000000 19833593 14304532 11857617 12500210 1000000000000000000 873995613 859864523 100422367 213399759 1000000000000000000 701660263 317002656 260747727 515868669 1000000000000000000 163191988 87669 24249451 81110119 1000000000000000000 853937649 762021165 447353564 683978222 1000000000000000000 924755749 495937979 832526763 43319765 1000000000000000000 276955702 204590376 108288143 155191115 1000000000000000000 763189315 411427084 361748678 44739168 1000000000000000000 251729784 129918497 80013421 20744314 1000000000000000000 259780570 18884249 12538200 222521744 1000000000000000000 196502461 132087973 136782374 127868210 1000000000000000000 375023328 65327122 63112229 93251924 1000000000000000000 136161423 78799670 43651256 95833800 1000000000000000000 577690836 98403515 336899189 158707125 1000000000000000000 879936874 260116855 363024896 854109019 1000000000000000000 632096018 352825475 322860087 569022481 1000000000000000000 195101199 191815254 141379740 186487031 1000000000000000000 154448784 141818176 19724058 71689820 1000000000000000000 298552070 100104175 223348654 223649709 1000000000000000000 827272840 442633694 43249121 1636491 1000000000000000000 588007721 426137348 499757068 297465711 1000000000000000000 794455412 683919494 202257363 492735354 1000000000000000000 897640971 166186048 194851208 792486023 1000000000000000000 574490258 409657477 157544 360974711 1000000000000000000 123949847 65358127 113554598 79895426 1000000000000000000 958539403 382095968 435852796 212640718 1000000000000000000 614690484 508993340 323341241 293274791 1000000000000000000 591777356 95736017 532055267 237528462 1000000000000000000 549653703 330041488 288955294 282694331 1000000000000000000 60447256 53375013 41350887 43274995 1000000000000000000 286587778 81337320 98645170 8854352 1000000000000000000 124166680 52630352 92305324 55198709 1000000000000000000 836830068 479788522 268348261 735248307 1000000000000000000 402319461 165816032 303072342 210723721 1000000000000000000 482893276 70927759 286276028 303312724 1000000000000000000 133371438 36576138 115868647 87577566 1000000000000000000 712250726 223269681 419313630 347382710 1000000000000000000 200520051 28774783 88723891 177288551 1000000000000000000 433158465 101300750 180025482 125734078 1000000000000000000 277922271 140208712 71852153 76174760 1000000000000000000 942464873 931029009 637477700 899220227 1000000000000000000 716159290 398970332 54179459 349468393 1000000000000000000 464407619 347125023 447140009 158415354 1000000000000000000 153165671 6622246 74297646 33991640 1000000000000000000 768037880 29087644 735525700 575086314 1000000000000000000 732919449 99720807 695156528 267738815 1000000000000000000 218370923 212892386 12371897 185280284 1000000000000000000 383089034 244677948 339484389 60614110 1000000000000000000 154655855 88101429 92253264 154502852 1000000000000000000 499312120 367385174 11619709 477917868 1000000000000000000 249339310 126581028 249024924 149309059 1000000000000000000 478068757 449008270 267299253 47185516 1000000000000000000 740787537 516827664 592967807 539293675 1000000000000000000 512401241 468609266 312053057 223041539 1000000000000000000 638983621 537705616 590690016 28078987 1000000000000000000 621525462 455474433 548204977 494645080 1000000000000000000 662735748 248737175 490462424 347157925 1000000000000000000 465040995 436264292 441469084 112171615 1000000000000000000 897501513 884770771 34888194 622362349 1000000000000000000 920950926 262029262 479686968 141989324 1000000000000000000 263542727 232466884 192737611 154519454 1000000000000000000 491791799 196909181 36791071 393169587 1000000000000000000 858155188 489882181 674242111 176828063 1000000000000000000 604622924 424979449 30767280 70160724 1000000000000000000 64298936 39109710 31165856 63598443 1000000000000000000 42990921 36138115 705360 41186118 1000000000000000000 934806728 257195995 19765476 183788323 1000000000000000000 663365644 510100591 178148528 139798845 1000000000000000000 474684797 306785668 100286918 27175802 1000000000000000000 551663826 33258437 92619826 433597467 1000000000000000000 573517587 512984814 404722400 488850522 1000000000000000000 321197900 30783962 22325236 27710126 1000000000000000000 982735326 721715048 227432512 583181508 1000000000000000000 21855437 8459874 16256977 17883933 1000000000000000000 329410099 231151733 23266243 232998966 1000000000000000000 575366417 280425277 360720859 55201711 1000000000000000000 831770031 23438216 72837423 787900744 1000000000000000000 448454379 64846715 336744650 149440853 1000000000000000000 623261052 6549299 447329321 26124173 1000000000000000000 743434103 408961425 245337274 452777022 1000000000000000000 952074863 528237745 339201944 480324905 1000000000000000000 19765548 4201348 16052965 10446055 1000000000000000000 125902629 26224168 77876473 63485362 1000000000000000000 808359578 136914814 129394732 474448951 1000000000000000000 844613218 515739215 745994095 634422639 1000000000000000000 707105367 141995026 498963922 368256780 1000000000000000000 980353120 498449479 140364044 864233201 1000000000000000000 785710460 305833455 108854776 744841526 1000000000000000000 178179368 42879334 170305246 69928080 1000000000000000000 903448477 493378598 437828820 829219623 1000000000000000000 491211961 93233349 439520964 484757422 1000000000000000000 614070080 316708574 79142854 49850606 1000000000000000000 10910751 5654493 7799563 5573763 1000000000000000000 879331979 311653423 743906875 408091668 1000000000000000000 773675329 405831901 596573887 39306016 1000000000000000000 563442584 420806510 254360992 284409326 1000000000000000000 256355593 44107918 242677855 182738575 1000000000000000000 362778953 102760409 177814961 102039082 1000000000000000000 964744700 625055758 369770712 539101402 1000000000000000000 631491241 524024933 528388214 502612697 1000000000000000000 312439618 27911073 229380830 216038281 1000000000000000000 954738301 538428162 833980960 589205169 1000000000000000000 884814592 217071537 375870998 700040990 1000000000000000000 520844212 470335276 418769693 274299602 1000000000000000000 437645444 170375550 389052084 418515753 1000000000000000000 815710202 572467712 689999797 186353884 1000000000000000000 456401205 158088435 443228401 358165161 1000000000000000000 560490573 139931954 24025769 546424417 1000000000000000000 838828082 380446427 777850416 272617777 1000000000000000000 940067555 856996161 549686560 37205841 1000000000000000000 620397248 441616966 450686440 542876536 1000000000000000000 427608599 285455171 26313919 413023735 1000000000000000000 472472869 56984541 82649904 299169871 1000000000000000000 976136865 157250264 373928750 666627015 1000000000000000000 134538492 29292505 106996169 48279313 1000000000000000000 713464956 273313402 108036027 406068712 1000000000000000000 374540291 127126533 103050106 4984034 1000000000000000000 654368605 594605486 157808055 280012886 1000000000000000000 108946100 31753591 68620828 27576317 1000000000000000000 274667406 197869602 129776303 29850293 1000000000000000000 625605395 8944599 447539728 345478141 1000000000000000000 930939461 34533091 674613162 142497572 1000000000000000000 315575308 280430580 47959310 22317174 1000000000000000000 383043428 248801720 144742887 267568042 1000000000000000000 857960845 683165653 629617111 442910568 1000000000000000000 670425612 155573009 398478783 339468341 1000000000000000000 552213321 534289738 401233161 356225177 1000000000000000000 992789912 852925163 274127612 707475097 1000000000000000000 144244861 21242479 61296515 66987902 1000000000000000000 453338610 56173533 179007127 440029796 1000000000000000000 26725870 22411444 23190350 22019954 1000000000000000000 170234533 164126415 54944203 158835478 1000000000000000000 211213365 48025075 12110101 40040195 1000000000000000000 693170768 592034550 331267103 47320336 1000000000000000000 798398341 406717265 6276064 183291932 1000000000000000000 179408439 16570229 77506362 58042050 1000000000000000000 593970750 124370435 463002378 444067672 1000000000000000000 722007446 11507605 27626703 549797729 1000000000000000000 125062130 110395561 117243145 6972534 1000000000000000000 441212708 75557471 357079051 402250567 1000000000000000000 575737239 336094100 86435829 422265704 1000000000000000000 9392331 4762019 7310779 8481333 1000000000000000000 886007030 353247718 317473380 515823457 1000000000000000000 552512132 422478740 168701993 265708297 1000000000000000000 181470961 167985051 178064205 172075910 1000000000000000000 986408517 554888777 558567891 946504452 1000000000000000000 82053324 69611519 59557435 37217367 1000000000000000000 976447437 785547440 514288650 944664295 1000000000000000000 305090273 298733495 171365391 301277362 1000000000000000000 219197379 107792809 146107461 160886048 1000000000000000000 297789798 217532471 177242523 293796379 1000000000000000000 393440826 173831212 367188830 260643955 1000000000000000000 60223271 36752879 19061320 39450350 1000000000000000000 810330700 751457649 640953698 633849152 1000000000000000000 718577345 209075302 525694706 263768539 1000000000000000000 125833964 17049066 6678644 94027918 1000000000000000000 627475953 144713753 558794394 615709580 1000000000000000000 47899267 7378345 9509587 5970639 1000000000000000000 229698605 219874219 4732533 69802872 1000000000000000000 280563022 133396347 67536886 92724111 1000000000000000000 304423441 55313194 20980326 12377539 1000000000000000000 863259929 496676327 569282600 636697045 1000000000000000000 439984304 274607157 150049596 357897309 1000000000000000000 445184686 169163839 173352503 360656572 1000000000000000000 547760488 112942716 56662176 18090800 1000000000000000000 277414710 146240718 226166537 99271736 1000000000000000000 289399688 228575761 189232030 63041742 1000000000000000000 648974200 30629996 503125887 414309697 1000000000000000000 393796884 260662460 199864207 74286491 1000000000000000000 174851862 167105076 30462980 64442434 1000000000000000000 206290460 116528219 99067060 56749777 1000000000000000000 490882469 330896398 258344098 455564663 1000000000000000000 572964828 393071755 8885057 450508244 1000000000000000000 182595070 134073877 145662007 148909255 1000000000000000000 35885392 9361801 9805595 23155994 1000000000000000000 38402564 15642651 15732027 21346422 1000000000000000000 793279132 478817913 121399256 479080059 1000000000000000000 353253120 144852311 145548546 316187362 1000000000000000000 936175239 351931030 747055945 162283601 1000000000000000000 467307788 394133112 263286680 434691714 1000000000000000000 262299024 254791901 97466890 190822799 1000000000000000000 428114206 283681833 79890444 206829842 1000000000000000000 227462876 39397036 112980341 44387656 1000000000000000000 995760631 63419130 59116291 86132514 1000000000000000000 314339021 190503962 93154369 72058770 1000000000000000000 505850052 50264388 345330122 63982788 1000000000000000000 374714828 333367365 64880288 258352782 1000000000000000000 655065251 109691986 535763239 648329245 1000000000000000000 801344909 625142928 138775689 411074076 1000000000000000000 474537893 265630513 189461849 216145809 1000000000000000000 690842479 625230978 351254476 520565809 1000000000000000000 624706653 363765350 87594243 578946942 1000000000000000000 965313961 919844314 587765940 285514429 1000000000000000000 214756036 124108421 32438551 36151614 1000000000000000000 125003031 72471991 3563931 51256148 1000000000000000000 268541819 13152772 13043532 124528376 1000000000000000000 730153306 719164733 672387185 439717079 1000000000000000000 667718629 435053416 116785833 301556439 1000000000000000000 618714432 91011803 338211673 5993360 1000000000000000000 348785623 33064268 331137297 236662328 1000000000000000000 176502543 28894935 137854273 163304055 1000000000000000000 593790811 252658921 144356881 282004520 1000000000000000000 476493607 209482031 423830997 259899209 1000000000000000000 908445819 186746 50972433 305382303 1000000000000000000 225967770 82510831 138431301 221365616 1000000000000000000 300309753 289445476 75393906 173660109 1000000000000000000 53084306 20304480 17131717 31071188 1000000000000000000 346631586 154592400 10127565 77446380 1000000000000000000 680761680 171071047 179589461 411657605 1000000000000000000 598326340 295913425 135364518 492621122 1000000000000000000 403813906 109100500 86810797 320267711 1000000000000000000 943789665 205516254 666168495 197326596 1000000000000000000 836308158 226200458 266009603 411984756 1000000000000000000 16192678 3991881 7951052 12350906 1000000000000000000 779472703 658241236 221885774 752575849 1000000000000000000 737811804 274751926 426771456 555986499 1000000000000000000 7552005 2409612 402290 3050394 1000000000000000000 858758324 314810255 649138931 672388081 1000000000000000000 538765166 445563182 94915504 444399481 1000000000000000000 168610565 136736912 31917195 5841021 1000000000000000000 553265321 406498145 174172691 285717484 1000000000000000000 775480041 440964825 497203668 192179051 1000000000000000000 122103131 41636200 8173772 10863818 1000000000000000000 384455847 286856681 341703689 333017124 1000000000000000000 827435775 605009372 412497816 145175387 1000000000000000000 38238042 16538749 12654959 6584151 1000000000000000000 318743476 163072813 251779411 113976160 1000000000000000000 75543510 7880386 39461910 27009258 1000000000000000000 811290101 218919997 777195935 289433736 1000000000000000000 871488023 83216638 526782208 590894734 1000000000000000000 743068712 201390177 415798887 78205486 1000000000000000000 921543043 462968298 337103341 448512995 1000000000000000000 526711142 450800247 120497330 481219029 1000000000000000000 130044632 71618210 39654064 94281737 1000000000000000000 441966967 51680300 251278239 353837779 1000000000000000000 423458398 220891170 174632040 89653055 1000000000000000000 595997254 325723049 258101309 340150673 1000000000000000000 548638842 41198958 278153150 194745906 1000000000000000000 799699477 352306539 737814672 120138917 1000000000000000000 972105336 261153785 680731723 116921031 1000000000000000000 248552357 78343444 148995860 241688422 1000000000000000000 416187272 121242119 155078181 141712158 1000000000000000000 20883135 19966076 1242245 2870344 1000000000000000000 190051215 189216967 102176953 44787660 1000000000000000000 370494974 176307793 212401080 130070036 1000000000000000000 428759470 223645260 419148332 53912464 1000000000000000000 463944878 19000170 446735638 49065670 1000000000000000000 336251458 87624840 105925423 320851821 1000000000000000000 499607925 170979289 451346349 424899761 1000000000000000000 333579576 256219590 265148971 152321482 1000000000000000000 423148940 119796947 281314089 265258559 1000000000000000000 501660570 147877753 249932551 393993256 1000000000000000000 305975284 19222194 240709401 57760716 1000000000000000000 626431114 299687987 449038988 427547106 1000000000000000000 498196865 99055060 86297000 12743001 1000000000000000000 959288467 744259091 892226741 582121675 1000000000000000000 280224410 156605400 39911185 258684283 1000000000000000000 781444442 251375459 386327080 727627331 1000000000000000000 275430801 17910454 14772400 175392383 1000000000000000000 514399401 200838218 353336977 145823223 1000000000000000000 211551931 130629149 170235945 20885999 1000000000000000000 27382615 19164019 18892137 26205193 1000000000000000000 609986312 251145211 114058506 43224911 1000000000000000000 239352392 33815909 167355006 33093867 1000000000000000000 135619218 78666447 56509720 4132008 1000000000000000000 293391488 9956383 272243130 278376960 1000000000000000000 905255032 426763205 281846854 217270466 1000000000000000000 769220010 66638548 68692827 495978945 1000000000000000000 802540020 358906375 708474207 171112087 1000000000000000000 488676152 457296432 359768047 37849619 1000000000000000000 95018200 28582522 31876573 80943234 1000000000000000000 286988696 222861855 188824217 98476011 1000000000000000000 620462958 581266464 514433430 480459677 1000000000000000000 900247261 36695799 628897209 280910929 1000000000000000000 38904796 38446542 17524367 36587008 1000000000000000000 823419108 593630440 733503889 642976851 1000000000000000000 697506024 80570212 68066448 273534713 1000000000000000000 975988040 159044811 788634777 32188436 1000000000000000000 475899602 224682312 308363668 144720820 1000000000000000000 544635341 232892124 65755920 113314392 1000000000000000000 595431529 198424440 26866663 532296271 1000000000000000000 451740015 383798936 63880442 337466683 1000000000000000000 447452233 140441850 48811058 153045304 1000000000000000000 13327233 2950122 2409639 2720456 1000000000000000000 805153877 526567408 326810541 151713330 1000000000000000000 674710843 485019452 601383883 217114420 1000000000000000000 703145592 161017305 430776304 344525541 1000000000000000000 582302499 305372587 200774924 205317102 1000000000000000000 341507823 331676354 325769283 164443599 1000000000000000000 661640128 321904925 350726811 260822219 1000000000000000000 210277529 64044785 69170372 64590674 1000000000000000000 36225795 9942669 11775539 16318150 1000000000000000000 50720179 32531305 49572013 49163835 1000000000000000000 778431504 298203290 501361218 10364317 1000000000000000000 964542700 872162126 833245728 743596333 1000000000000000000 217906609 51708468 91506817 87677029 1000000000000000000 972370902 7931240 250063278 261007521 1000000000000000000 657200063 266549854 177485910 16946279 1000000000000000000 459314020 36646794 406365647 300388918 1000000000000000000 107918797 30719348 37671086 17481462 1000000000000000000 925844375 687849148 623708056 237933680 1000000000000000000 345524773 241285243 39729108 313774935 1000000000000000000 951664921 15027120 559570066 75317520 1000000000000000000 384409575 131155450 339925147 4441585 1000000000000000000 440287988 351643526 403720203 262861351 1000000000000000000 980656170 876238745 884677281 664081175 1000000000000000000 110715389 10610656 89651365 8229763 1000000000000000000 90945857 74323581 23045015 77372461 1000000000000000000 661240603 509099642 554488860 54891263 1000000000000000000 10222477 8242765 124451 9724366 1000000000000000000 602025056 254052172 244049467 545138972 1000000000000000000 545859122 174721853 410550357 242016356 1000000000000000000 693994944 688496130 365605301 330174670 1000000000000000000 943616341 923626479 872369379 386953337 1000000000000000000 832608592 102971072 529717163 633960020 1000000000000000000 483220460 423634074 312091156 307736434 1000000000000000000 119421162 60975292 32517942 89613554 1000000000000000000 648402011 527835430 166189376 67051281 1000000000000000000 862194363 494897459 144557256 191404985 1000000000000000000 34378130 30205897 24821054 19862917 1000000000000000000 681079900 332382001 198285829 96037467 1000000000000000000 108384673 87162980 106038231 63652140 1000000000000000000 295236177 119839705 98160961 68635513 1000000000000000000 673978843 9160226 155957061 76142393 1000000000000000000 581615445 505986682 300262950 200340239 1000000000000000000 645148328 426706737 395906609 606073077 1000000000000000000 698906700 216526884 437064250 305432187 1000000000000000000 158599934 105736360 81040836 145183926 1000000000000000000 370700508 213461967 367760377 19464509 1000000000000000000 272742332 139769957 112165823 171658469 1000000000000000000 71497095 45459596 8047574 47768614 1000000000000000000 960978099 510023852 802819760 878857453 1000000000000000000 911148220 445343875 115652999 322734566 1000000000000000000 971346825 544313972 351900169 58297934 1000000000000000000 320129552 31210588 160039792 269497652 1000000000000000000 252378741 156779571 183130260 192059911 1000000000000000000 623984347 110772134 56257798 380311606 1000000000000000000 654498572 516246509 575977227 425189349 1000000000000000000 32448988 12773589 31311430 13777247 1000000000000000000 229148208 215236903 176403602 170174973 1000000000000000000 950358297 560477986 80053772 687367947 1000000000000000000 375538495 349847616 312306739 353599725 1000000000000000000 866888382 786582466 460078631 43481584 1000000000000000000 95077345 84700008 55572636 38756431 1000000000000000000 947793391 344464873 508552303 757340173 1000000000000000000 770407223 3656445 258719939 758394243 1000000000000000000 573078173 219187454 327539085 87819704 1000000000000000000 919904165 116404692 103790889 189284286 1000000000000000000 345370879 72340549 79029953 327126912 1000000000000000000 661514493 455218013 617754071 66837290 1000000000000000000 539304696 59632592 245603111 423626371 1000000000000000000 418228922 343936890 292822086 319399250 1000000000000000000 67716099 27238679 52032499 41949049 1000000000000000000 537583490 102608865 52640732 324283132 1000000000000000000 645622510 60989151 191822329 47340887 1000000000000000000 124849773 25061181 53207834 49567642 1000000000000000000 111949690 106805512 96180689 60725436 1000000000000000000 882612299 739126832 173757097 803072961 1000000000000000000 244781765 213322435 160537803 243833072 1000000000000000000 466937357 422695471 295392983 195252736 1000000000000000000 549848657 428750286 233924445 225042338 1000000000000000000 57387470 38530538 24196721 10425742 1000000000000000000 204601846 159012641 3332363 196904113 1000000000000000000 614874502 235548941 561795918 440276833 1000000000000000000 484581825 72858658 479659277 105617088 1000000000000000000 565474925 223957064 295069372 546132725 1000000000000000000 754304555 178457285 455729456 77663613 1000000000000000000 816689438 184990810 322227077 734760303 1000000000000000000 54507292 54142359 52603552 47825463 1000000000000000000 206860558 61042197 546554 103122785 1000000000000000000 25127789 69840 23362241 2735134 1000000000000000000 561481135 302241537 405831113 429654209 1000000000000000000 885706900 306910539 881680473 314489278 1000000000000000000 257397105 219684042 48788128 57355317 1000000000000000000 665657891 245613218 653868923 632019163 1000000000000000000 984343189 771583352 62957426 738731550 1000000000000000000 747878432 595520181 613277524 384551752 1000000000000000000 559474209 523373365 271718761 558033018 1000000000000000000 54603196 17320117 9603253 23322056 1000000000000000000 481046394 376943838 460020765 15974718 1000000000000000000 160554805 96008138 81259226 6096242 1000000000000000000 932394707 19259784 541736871 196093578 1000000000000000000 147219967 44907291 144557172 13306340 1000000000000000000 232302301 89289889 22367453 134521992 1000000000000000000 488518908 286104562 468012774 230704816 1000000000000000000 909354222 560436451 395547365 176733574 1000000000000000000 960377135 90504479 623303352 387208812 1000000000000000000 166279652 13881664 135957684 134491227 1000000000000000000 395065507 115511952 24260122 151813377 1000000000000000000 779682873 767878922 764715771 226224970 1000000000000000000 577653345 209437175 392810473 326909854 1000000000000000000 246716581 90626275 18109962 58363489 1000000000000000000 34824430 33715252 5950471 25314909 1000000000000000000 74490397 29421804 10076352 40815236 1000000000000000000 617674957 524010767 208667702 573281369 1000000000000000000 945515994 59774087 651963141 569825975 1000000000000000000 905347510 56945301 712811485 393572071 1000000000000000000 290465630 170001536 127637914 163154834 1000000000000000000 470306685 220588737 225765680 282793232 1000000000000000000 368606907 101609825 255013133 163034459 1000000000000000000 592007172 372538090 447922441 338697369 1000000000000000000 165384771 147866168 51658641 92871303 1000000000000000000 490021807 377248071 254638929 238667767 1000000000000000000 160470909 102286556 73484529 46903858 1000000000000000000 306926332 36973480 267680980 119161299 1000000000000000000 840530325 729185740 352393741 686315428 1000000000000000000 82643863 58309292 1891552 44425245 1000000000000000000 591345462 475315230 176949830 221821644 1000000000000000000 285971711 130700120 207982596 59069334 1000000000000000000 242901305 103252642 106437457 189061736 1000000000000000000 219633042 98422128 208632780 148615051 1000000000000000000 944008463 6471473 645623233 550220712 1000000000000000000 938580853 416613090 827474502 5759788 1000000000000000000 373660220 311516695 311733904 88808546 1000000000000000000 183610989 178122263 173541854 21074537 1000000000000000000 232107961 175348256 219755837 115798535 1000000000000000000 758178585 697041508 432454922 561841561 1000000000000000000 31488765 1169113 9472547 12736338 1000000000000000000 567510475 26520384 123081634 389083632 1000000000000000000 663386770 99047257 358677803 348553638 1000000000000000000 22377408 21118108 10793441 8475437 1000000000000000000 522030168 134580892 198309729 446879846 1000000000000000000 73869937 68254261 62761807 45638163 1000000000000000000 139484953 75100381 26145903 10034485 1000000000000000000 433636532 419812020 231894592 252969508 1000000000000000000 192979501 117035790 156222150 47131279 1000000000000000000 233289992 206140061 225116251 217090471 1000000000000000000 478765705 371832025 24951231 216177648 1000000000000000000 803474561 182980232 337481168 585346937 1000000000000000000 697243599 114055566 220806225 70470039 1000000000000000000 604494030 420770926 115064550 189432478 1000000000000000000 154802977 119107317 125639340 150782181 1000000000000000000 538469199 354746344 233715703 111401960 1000000000000000000 128895926 55499253 7742386 43425410 1000000000000000000 331437035 252755563 322149320 251124784 1000000000000000000 402401467 306498336 341868849 155904971 1000000000000000000 289156074 128705751 180188251 271095546 1000000000000000000 705629832 13297121 611375742 206674515 1000000000000000000 186265839 29713105 121792624 86176036 1000000000000000000 197949392 165479204 177463073 66681750 1000000000000000000 788908515 204067176 579433614 726838348 1000000000000000000 555904976 19251980 526370096 316100202 1000000000000000000 245603451 74432571 24039442 40134828 1000000000000000000 98286251 68324435 16537051 31698094 1000000000000000000 924734912 480826490 535777730 622532962 1000000000000000000 297232438 282566536 256970989 124169915 1000000000000000000 561291548 96144271 50043755 147524321 1000000000000000000 592462952 177497782 294101951 313108613 1000000000000000000 397925672 313989115 361428719 293078036 1000000000000000000 435860434 278063183 93611655 229977375 1000000000000000000 29116133 12665400 11875724 29003686 1000000000000000000 524589022 439727244 107571563 425755795 1000000000000000000 796486969 90152313 36957619 140984788 1000000000000000000 190432952 93862723 160414320 94606110 1000000000000000000 100577673 18532494 95723399 85863806 1000000000000000000 853950324 197013604 358245280 59421776 1000000000000000000 107077770 21388639 50687924 85581655 1000000000000000000 820210191 530327039 354816808 490818614 1000000000000000000 307219852 198948733 169580859 223529436 1000000000000000000 468589758 295909887 221503202 193788977 1000000000000000000 84047262 398802 23843232 23889726 1000000000000000000 885644670 694651801 520506214 627719526 1000000000000000000 89873197 50092253 79115491 23752021 1000000000000000000 105962268 103338960 59166649 24707798 1000000000000000000 444467483 315895390 301005772 50486827 1000000000000000000 274940199 142643511 49569606 67534092 1000000000000000000 186911639 25382312 120661976 67102898 1000000000000000000 412628051 255427484 293736844 323598786 1000000000000000000 227132399 42589241 98552326 208606319 1000000000000000000 534379657 98854820 396846322 520322712 1000000000000000000 747462083 86079260 128415311 122687776 1000000000000000000 44770989 16668843 14175866 20271373 1000000000000000000 247243975 89107207 214284401 218249368 1000000000000000000 659471622 253281715 117355216 614384145 1000000000000000000 968378670 909735103 82779435 76989981 1000000000000000000 448840872 252595225 307766103 317375725 1000000000000000000 765391701 2536873 504622294 279958716 1000000000000000000 553008206 89030424 518335017 326905152 1000000000000000000 282250228 147705020 19515893 150521850 1000000000000000000 491476905 211200783 100136619 170049236 1000000000000000000 991022036 31713811 715052458 421718420 1000000000000000000 538967050 509067047 403179207 322474415 1000000000000000000 315290717 206506572 277744845 125921827 1000000000000000000 630883420 486219330 324740104 365314166 1000000000000000000 653034989 110590093 610305995 491305359 1000000000000000000 955726608 506262413 923462796 317858074 1000000000000000000 744326525 224589056 66249637 419675886 1000000000000000000 50882954 5432655 36080055 16065135 1000000000000000000 407415972 17860054 83948699 356231558 1000000000000000000 366604667 136419692 313388802 339627620 1000000000000000000 198240581 164256810 84349811 71395827 1000000000000000000 463418384 458812358 22804650 66874717 1000000000000000000 396092016 142755606 42501438 303735904 1000000000000000000 205201193 40455791 154772267 191422194 1000000000000000000 664594028 449014912 164946889 514327482 1000000000000000000 121552745 90518370 7231432 37139889 1000000000000000000 441082584 170063889 191547502 316717375 1000000000000000000 27867675 3958801 9686348 4889450 1000000000000000000 620461913 289570727 303178618 278111299 1000000000000000000 403444121 13141731 53374445 375705900 1000000000000000000 973859967 157663850 126314074 62115526 1000000000000000000 699390788 28945918 458872426 148757276 1000000000000000000 816247423 481264661 296801829 151402841 1000000000000000000 921111645 35765018 625395584 690560756 1000000000000000000 825318452 182014123 143125291 549322920 1000000000000000000 415998754 379135626 54327177 48648006 1000000000000000000 38547166 32399668 9775432 33823362 1000000000000000000 397669901 309861696 260435962 186215139 1000000000000000000 139146988 53384038 99082086 68949285 1000000000000000000 726353123 45993760 195716438 206040149 1000000000000000000 487977413 194183866 297993579 275443784 1000000000000000000 756763000 78770756 506395771 664602534 1000000000000000000 26465166 1204834 18404616 8325834 1000000000000000000 481387854 133203561 66237004 410018821 1000000000000000000 712609236 154287174 349804862 595161626 1000000000000000000 468680322 126285455 192832134 131162637 1000000000000000000 305210441 206320786 238825596 302795540 1000000000000000000 727559464 644082740 685124356 416901906 1000000000000000000 395055521 145233223 321953336 721633 1000000000000000000 790131148 131737863 398995546 291314247 1000000000000000000 765671233 530533646 356084228 272481733 1000000000000000000 505370975 248397925 354273213 181744420 1000000000000000000 272359393 119809071 267974931 51343705 1000000000000000000 661636952 618309750 425549 643804067 1000000000000000000 626739977 365931706 493197267 524538220 1000000000000000000 439258593 88425547 205671382 54812511 1000000000000000000 982800344 370105227 226297664 306924569 1000000000000000000 886776506 52975642 847149177 422747123 1000000000000000000 456720957 117121627 439894670 97562199 1000000000000000000 800815297 258770237 559784458 594897577 1000000000000000000 386548713 381182675 33975137 106091698 1000000000000000000 691705475 21003973 362452804 278424993 1000000000000000000 641416496 380173419 46248200 175040157 1000000000000000000 84331970 34417781 27571685 44955898 1000000000000000000 914959205 763294154 288663428 771039307 1000000000000000000 8662430 2411689 4957354 2849140 1000000000000000000 234372704 150667010 81795792 8165959 1000000000000000000 371670875 223449751 192789822 47597254 1000000000000000000 46716458 37786850 11712101 9120084 1000000000000000000 237857994 200505358 10307982 156730749 1000000000000000000 223159358 217961438 190669786 4444455 1000000000000000000 133854178 130547625 70128713 49834298 1000000000000000000 565433994 35872548 115537453 58387520 1000000000000000000 910882948 136102433 304772611 405886721 1000000000000000000 404825532 216332656 356814023 127185748 1000000000000000000 800113335 595655084 719441490 672660453 1000000000000000000 464386696 92865081 30825810 212886213 1000000000000000000 622264050 138168088 393976463 60169118 1000000000000000000 894208815 845855534 170514758 625238423 1000000000000000000 624981923 415971069 102843855 296759525 1000000000000000000 120909916 82210651 59728787 31460688 1000000000000000000 673540224 558845401 60292851 80753530 1000000000000000000 315320752 16962433 65172351 216281248 1000000000000000000 737162115 231717806 197320326 331511918 1000000000000000000 541374258 343240719 529257222 131268067 1000000000000000000 399799227 102224628 144024321 80524708 1000000000000000000 836455950 312217998 283455240 354950195 1000000000000000000 620858810 279680529 440737166 180859926 1000000000000000000 770925652 174624862 397049380 178253763 1000000000000000000 55618999 35404936 4807178 55430576 1000000000000000000 607854221 111638324 586992036 72205008 1000000000000000000 373069387 121736321 56234505 304386136 1000000000000000000 322406729 357091 45333023 76555004 1000000000000000000 366912708 301397583 333881462 240084317 1000000000000000000 698426736 675858688 607792936 553151118 1000000000000000000 890683747 96736593 70391139 575783166 1000000000000000000 858388097 75182797 51839822 225670063 1000000000000000000 918454328 701492923 658387829 314043052 1000000000000000000 281284868 106771445 28158718 11394502 1000000000000000000 184148994 102923914 50068691 177997445 1000000000000000000 808283684 146315681 636866646 669362902 1000000000000000000 905756569 462463251 830522754 791758483 1000000000000000000 222561076 97282077 94812075 149988876 1000000000000000000 335106494 301706894 128494610 120257462 1000000000000000000 570493526 342420524 35441623 489590794 1000000000000000000 946032811 423729518 660072736 102313042 1000000000000000000 817311130 194303146 663738753 13798458 1000000000000000000 695691667 535849772 420457463 662029638 1000000000000000000 245514600 91636917 134694098 130668664 1000000000000000000 455252093 308738321 280546564 242676028 1000000000000000000 67379972 44589346 2291547 53826118 1000000000000000000 603331317 487671919 126522492 169555464 1000000000000000000 727062912 276004813 568441773 211491614 1000000000000000000 623885690 163261803 532030358 27876716 1000000000000000000 581185405 466902196 260577535 409473637 1000000000000000000 59860499 10643370 22970762 55321795 1000000000000000000 241133764 88246528 200378891 109379737 1000000000000000000 271972834 79940528 197316814 77381455 1000000000000000000 87663916 78091086 55450392 10933499 1000000000000000000 843741706 651981933 141971874 426127149 1000000000000000000 363053378 159012590 275188981 167485788 1000000000000000000 339193605 108673510 274412256 163530887 1000000000000000000 513312593 207691152 486273655 391527454 1000000000000000000 844620662 700758943 582202086 593068747 1000000000000000000 238895767 206028766 187803750 28030587 1000000000000000000 835700830 196020027 9730996 470035774 1000000000000000000 384375244 32566797 4283567 68335771 1000000000000000000 872182032 797152716 256067735 452810270 1000000000000000000 994171020 776653238 600965538 351748278 1000000000000000000 224516473 110493682 14882648 130857765 1000000000000000000 476129182 429272801 33243598 117949503 1000000000000000000 194881116 70985515 62856081 1346090 1000000000000000000 705549886 115655348 496782883 298174543 1000000000000000000 560721672 559251778 287564053 558534973 1000000000000000000 747820608 567722687 96856227 132394802 1000000000000000000 998289104 214539852 200816716 492936025 1000000000000000000 980121906 410560385 771239822 517894777 1000000000000000000 332537732 303125490 193926699 90418085 1000000000000000000 698620485 329205092 395194240 392605266 1000000000000000000 723884661 348396992 67408274 322039041 1000000000000000000 982591748 898336436 763984846 756102008 1000000000000000000 798003691 366198602 527776428 210980341 1000000000000000000 15178387 7041195 13652248 6443794 1000000000000000000 573577363 564090124 426017495 489302680 1000000000000000000 599419960 501280195 391934972 183041284 1000000000000000000 414284117 39890099 325661127 384206243 1000000000000000000 827493417 86510155 499977623 464552406 1000000000000000000 239971762 20135510 80283763 194767166 1000000000000000000 802014244 619833749 87700136 686862601 1000000000000000000 287736975 172272577 157385387 166159700 1000000000000000000 934662296 309793950 707990502 295605902 1000000000000000000 451343656 50831766 12611003 172750620 1000000000000000000 460523936 409999225 93663006 258243301 1000000000000000000 464544044 33053550 449684379 195982828 1000000000000000000 884219481 262756926 376002389 123621320 1000000000000000000 447165660 435366883 159191836 239157038 1000000000000000000 246468912 90422384 217007451 139312011 1000000000000000000 162251548 112426114 46900435 85267239 1000000000000000000 963376067 909542919 756819731 148965186 1000000000000000000 22226684 156868 16484797 148412 1000000000000000000 671678282 70740802 141644286 485132094 1000000000000000000 557102761 36210242 159589151 160064242 1000000000000000000 973354261 801024523 539159598 702735399 1000000000000000000 856791750 381104782 233449454 132566460 1000000000000000000 345605720 55192774 168308204 149487423 1000000000000000000 571737222 506490370 285556157 27389379 1000000000000000000 613001939 385878041 181502377 290150976 1000000000000000000 366506724 44074553 217445515 314921720 1000000000000000000 451984444 120066914 212202871 197320430 1000000000000000000 291947753 30567074 194449989 114867052 1000000000000000000 195941787 160165604 24951252 133608479 1000000000000000000 578848318 373305973 4967017 298609832 1000000000000000000 996843196 841868556 355184137 574234291 1000000000000000000 205636897 30199874 75074705 117900667 1000000000000000000 783754569 768169608 426160504 539952839 1000000000000000000 554370511 305642960 384941907 68633809 1000000000000000000 229782246 21894801 92667732 150904583 1000000000000000000 166603128 42170530 68906194 49116829 1000000000000000000 811538042 717519781 487989985 685323881 1000000000000000000 697526665 424504536 3654801 456301638 1000000000000000000 75935969 18441701 12945351 25973160 1000000000000000000 239348209 50706636 203569689 53851810 1000000000000000000 417674579 82942345 328795075 381784448 1000000000000000000 962897055 261213551 302792868 461080269 1000000000000000000 487425760 211651200 436884134 398418932 1000000000000000000 205645234 62973591 107227397 56049291 1000000000000000000 324796161 156654234 47462630 241885392 1000000000000000000 852450777 96787951 134606923 620154707 1000000000000000000 544302465 167875210 60051208 90201743 1000000000000000000 769078597 66155132 129817874 721625538 1000000000000000000 351057595 220862136 70135724 174901390 1000000000000000000 706603723 690295913 644358269 409088147 1000000000000000000 888224542 847685026 832608587 789780632 1000000000000000000 722037319 358077198 646481921 593330864 1000000000000000000 671802427 210694238 174356251 390835431 1000000000000000000 306592404 128750321 242600134 67647967 1000000000000000000 353708753 267605059 222164941 64886531 1000000000000000000 222447710 208136345 3444856 126940211 1000000000000000000 406373043 283564116 276519886 303355957 1000000000000000000 45217666 7319793 21419460 5232779 1000000000000000000 336232598 70185087 285744321 6341761 1000000000000000000 791088442 419766760 691021429 660337400 1000000000000000000 651216766 332062912 361409639 306474860 1000000000000000000 93132825 4343017 88545667 69005233 1000000000000000000 409938287 237075181 13878459 211479398 1000000000000000000 856307218 568577487 56949839 83743969 1000000000000000000 280904435 57276713 66419532 46773777 1000000000000000000 129254329 109868421 72579905 57851478 1000000000000000000 124322095 26042390 6272461 35861922 1000000000000000000 221919195 12295919 54072309 163461577 1000000000000000000 301413686 227958825 37436199 62703296 1000000000000000000 957344098 179743206 669788839 272809287 1000000000000000000 91722837 46120526 14590061 75954579 1000000000000000000 393396402 34595563 167992723 107952731 1000000000000000000 483111458 362799620 343459898 387093957 1000000000000000000 73430324 37018813 31914377 14557154 1000000000000000000 198154027 132538856 89611596 33325834 1000000000000000000 417173526 215849007 367173211 129180479 1000000000000000000 863474646 3999439 525587032 284450238 1000000000000000000 762206882 428399797 717792230 705314226 1000000000000000000 299248464 280857407 85450339 105423481 1000000000000000000 773192652 14560136 481862348 96737657 1000000000000000000 17088567 15788132 11424543 4549639 1000000000000000000 415665023 410285144 178599895 303534733 1000000000000000000 150397230 22210324 69558935 135143420 1000000000000000000 741912110 714850602 41943763 465149551 1000000000000000000 73492767 49695851 62871414 66940275 1000000000000000000 714323232 681365716 634083074 103167984 1000000000000000000 718577761 46252968 626013122 10404186 1000000000000000000 296845435 2533604 236196922 244369125 1000000000000000000 357683666 67900781 152354513 59321203 1000000000000000000 449249487 222150851 346404382 361312583 1000000000000000000 560405882 428499690 307854290 378489140 1000000000000000000 233716837 169364098 71126457 106233413 1000000000000000000 607090072 125450918 203747556 419538308 1000000000000000000 901517651 579761135 73133312 17362539 1000000000000000000 419631823 302191454 331829785 389580675 1000000000000000000 141142227 115777520 128049055 29269266 1000000000000000000 191972079 6333093 79598963 14269721 1000000000000000000 855028887 65709837 611786845 575137951 1000000000000000000 231272480 107824062 23178143 19210989 1000000000000000000 873371196 147210138 94527084 84425356 1000000000000000000 991918678 213154418 47084653 81362572 1000000000000000000 17898878 14707096 4375144 9197858 1000000000000000000 879480542 64081486 325238900 553155876 1000000000000000000 137015697 132419239 55834434 77989809 1000000000000000000 328865132 47895565 54076241 171477093 1000000000000000000 907537592 454163645 654688069 839388248 1000000000000000000 889982730 239506998 495001238 103437408 1000000000000000000 736473 40507 598073 249392 1000000000000000000 933571563 800371475 63612805 705483490 1000000000000000000 673705742 671507039 605227675 117663943 1000000000000000000 688734304 674289445 140445765 471577631 1000000000000000000 138149669 74676085 6226036 8584180 1000000000000000000 377619365 108670047 163478211 90661425 1000000000000000000 717181317 117055317 592813551 348122855 1000000000000000000 556451751 385557988 441894833 232688599 1000000000000000000 695543863 115126928 284057724 419965463 1000000000000000000 424838076 251825110 367996802 330178566 1000000000000000000 523745988 478303596 481526326 471081024 1000000000000000000 833590338 20426838 726153258 435837000 1000000000000000000 396109290 838001 38580445 62700685 1000000000000000000 857379453 644484355 21052383 168945645 1000000000000000000 904520336 628821850 606495887 393239822 1000000000000000000 937775920 633351125 7480240 749302021 1000000000000000000 581568923 417998252 461059704 162017197 1000000000000000000 963204982 338986742 834963897 776797128 1000000000000000000 35193510 3325619 21332433 29629433 1000000000000000000 10746145 4927221 378128 6777208 1000000000000000000 664241556 622399960 471818416 458830489 1000000000000000000 40373513 36113288 14968483 37123528 1000000000000000000 300403021 176498014 5441785 23981201 1000000000000000000 272844570 181590694 9692755 111574969 1000000000000000000 366160418 74498363 206055112 60021611 1000000000000000000 486931154 279855504 277848216 180752823 1000000000000000000 42977685 16228981 28944977 41207610 1000000000000000000 734563006 496071529 200904251 467981725 1000000000000000000 524919493 325976224 448766282 301991470 1000000000000000000 588425864 202923301 91161039 517722900 1000000000000000000 585739815 429696955 543659811 468406354 1000000000000000000 997246655 220687257 341544910 136100893 1000000000000000000 385658705 106104866 376310770 322520978 1000000000000000000 609433727 34260663 550122160 148746581 1000000000000000000 409170894 252898231 304449057 119187879 1000000000000000000 74682566 42708966 30537087 18490754 1000000000000000000 738821990 633717543 459277671 340928851 1000000000000000000 619660174 73750439 469379800 605766761 1000000000000000000 893423789 76410919 290802547 472477267 1000000000000000000 991259466 480875836 986004754 284488813 1000000000000000000 624747450 162472112 483428214 550278802 1000000000000000000 616625525 27441980 147118901 311299935 1000000000000000000 405197031 119909731 227825867 61592489 1000000000000000000 580880126 280847393 339935933 375991028 1000000000000000000 994881128 3030985 17304037 993627305 1000000000000000000 191157517 56547190 158166650 119640071 1000000000000000000 611088708 493494444 378819770 99386649 1000000000000000000 269067787 174035694 76175392 86088930 1000000000000000000 891197872 119588034 639469779 428228298 1000000000000000000 657662605 280500347 375965006 226507454 1000000000000000000 110760948 109476589 1096498 86782452 1000000000000000000 142467705 57197598 66893878 68475705 1000000000000000000 496446591 126939639 101007268 342846766 1000000000000000000 855679115 76599836 55494427 374940544 1000000000000000000 67865805 34134565 42407069 21385817 1000000000000000000 727603616 321072094 89688143 116997469 1000000000000000000 188270484 104610705 37936025 162736166 1000000000000000000 598623717 313738963 415249176 134585225 1000000000000000000 826318836 556425496 467829434 561926535 1000000000000000000 695588887 254606995 93986512 315141079 1000000000000000000 418072044 390502036 329222061 25124527 1000000000000000000 990469716 901077013 457567321 539903152 1000000000000000000 621173413 248719446 299073954 181131023 1000000000000000000 202192104 84582156 65555243 3818247 1000000000000000000 251638746 72481178 187401229 105716004 1000000000000000000 936653668 475596994 533248148 757200590 1000000000000000000 857760585 399612447 340197924 119731275 1000000000000000000 474100148 457151896 25616896 41543793 1000000000000000000 988283188 262863448 136678045 890347550 1000000000000000000 540537905 328051251 519328664 510417682 1000000000000000000 930967334 38901021 764319775 454062929 1000000000000000000 866588612 32046782 442820960 586442505 1000000000000000000 176299503 141873696 2151515 77459700 1000000000000000000 320986241 120857467 138858889 319571523 1000000000000000000 459030019 91687919 240255443 271085717 1000000000000000000 850550936 525835300 150864446 201536763 1000000000000000000 736233068 314310896 523344322 487266093 1000000000000000000 676936009 208755851 626280530 439495196 1000000000000000000 988447738 970465743 222293405 797099512 1000000000000000000 342460013 146196511 94666171 308973590 1000000000000000000 818333412 727571499 349219411 788529744 1000000000000000000 751119113 211676449 441426357 350365383 1000000000000000000 551297154 309646753 60787251 354247470 1000000000000000000 699722085 665148280 157878611 697396062 1000000000000000000 667801086 507517358 546907637 259845905 1000000000000000000 956794193 797324961 127126318 144414568 1000000000000000000 633143484 103763755 404927922 231996980 1000000000000000000 696044718 85548354 96615864 674562993 1000000000000000000 936043135 802384482 42252543 734036611 1000000000000000000 922953938 806109294 606579828 885790847 1000000000000000000 621939816 84445025 143601284 167690710 1000000000000000000 277295140 194123560 118715901 236179355 1000000000000000000 364342986 28862864 235198262 139403953 1000000000000000000 224434318 109491305 209921737 166670224 1000000000000000000 407803529 197903424 233298561 311074528 1000000000000000000 812339420 778183580 625264038 669553342 1000000000000000000 620273621 57580970 282384814 303956116 1000000000000000000 680001960 86282069 615748305 399469488 1000000000000000000 196634583 149034007 84026899 1283765 1000000000000000000 149012873 101259595 17829122 110159250 1000000000000000000 634365371 633259109 47364573 161500440 1000000000000000000 532817436 41718071 324159193 120030311 1000000000000000000 880428955 269972383 642709318 233498362 1000000000000000000 500168841 24853181 262367128 1133140 1000000000000000000 75072897 13534779 36195275 60342782 1000000000000000000 444360322 85640091 240665373 188218873 1000000000000000000 879451006 35243379 335876691 755143069 1000000000000000000 845840792 512243450 814772097 761459193 1000000000000000000 707308665 508151188 118239028 500449089 1000000000000000000 853852721 54314263 397848162 495398391 1000000000000000000 367181158 9075023 178948145 31605069 1000000000000000000 48682680 38139985 47717932 22069247 1000000000000000000 939602631 897390893 493423250 901955100 1000000000000000000 383886122 216557843 99382380 183492491 1000000000000000000 545158355 219788778 335462202 511128670 1000000000000000000 836766281 156533341 195925607 44478515 1000000000000000000 518794840 52978018 19049255 114275672 1000000000000000000 832613513 427280730 791815374 552912839 1000000000000000000 763759602 253194939 340273449 130218602 1000000000000000000 896345466 218624752 283950200 428917872 1000000000000000000 194832765 67909953 135325127 62537139 1000000000000000000 619664896 162595042 67043591 543989266 1000000000000000000 313809741 51371545 5668506 136576865 1000000000000000000 116747990 54688827 96406844 103761428 1000000000000000000 90967960 84230013 57654676 40844882 1000000000000000000 374157753 268497527 222829827 13516203 1000000000000000000 396045867 6882591 239169156 114568969 1000000000000000000 447891571 333658660 114903747 319012072 1000000000000000000 630812035 515715800 113585136 119135686 1000000000000000000 889788323 420657719 456085831 375744880 1000000000000000000 845509204 225978325 289759878 446033096 1000000000000000000 389646036 238875387 30477708 235799288 1000000000000000000 926151634 656066189 410794014 235504464 1000000000000000000 50643384 40282872 17244876 30675263 1000000000000000000 225335558 178860010 41511507 153807308 1000000000000000000 820723913 312549352 449197329 403621250 1000000000000000000 950116928 117219621 18163231 643939561 1000000000000000000 555186359 46971640 66432951 239326102 1000000000000000000 188961998 59107280 96829753 170942187 1000000000000000000 543514326 341740115 170309518 364488319 1000000000000000000 868714436 561960900 308206213 570358385 1000000000000000000 17625318 798542 14458924 8531084 1000000000000000000 223406847 177204268 46114253 207904117 1000000000000000000 639034480 92441026 153527261 404045232 1000000000000000000 231613846 131387888 203879413 123394617 1000000000000000000 307043563 225547047 232189712 200192702 1000000000000000000 889684103 681775287 98550353 738711989 1000000000000000000 139433787 129498874 89016487 58420778 1000000000000000000 542365977 141838757 516347861 62758496 1000000000000000000 712629775 109118712 18485711 167153584 1000000000000000000 805507571 224778760 59444265 220329472 1000000000000000000 230727043 55844769 143693154 5222797 1000000000000000000 244039114 222909999 111772914 108042833 1000000000000000000 734005984 113081211 394304615 169304015 1000000000000000000 439422851 219341156 186298 199500518 1000000000000000000 893493062 266203416 449137907 155454524 1000000000000000000 131433459 96545111 915153 64045706 1000000000000000000 913631205 426896274 359855677 405649063 1000000000000000000 856621112 512383794 607123337 275348662 1000000000000000000 350078197 123992503 12042458 185211637 1000000000000000000 299761432 149584 259896307 112715960 1000000000000000000 279224145 42070941 129621377 31076975 1000000000000000000 590250140 274718503 348291486 100168948 1000000000000000000 219457109 149977056 78700580 77242145 1000000000000000000 139139556 109802744 93400098 105800119 1000000000000000000 596363347 260465995 291000098 189408787 1000000000000000000 356960450 205306190 193085818 24552976 1000000000000000000 615792016 17422123 594165165 78095845 1000000000000000000 426181922 219877949 368403630 54138166 1000000000000000000 104968244 22114491 64981534 36084597 1000000000000000000 533328256 530831723 529519672 426636288 1000000000000000000 643535777 61502526 31575799 261106080 1000000000000000000 800750171 83684471 522511599 180493777 1000000000000000000 943208148 210385600 62451840 490476496 1000000000000000000 709889715 534653368 688099742 275331868 1000000000000000000 274119704 36383223 95828810 149964525 1000000000000000000 910413522 757307147 516528567 134063522 1000000000000000000 255554843 79946083 7507246 152400849 1000000000000000000 538232254 297178883 464240001 391695833 1000000000000000000 583936984 233163605 352801388 505182117 1000000000000000000 799915718 299319420 699312898 453672574 1000000000000000000 766128939 35405026 526933064 512544146 1000000000000000000 391730737 372121043 272939686 284100427 1000000000000000000 988896922 322193646 491167681 415773132 1000000000000000000 43730525 9710488 36474627 42281655 1000000000000000000 929586463 161487560 734694493 347620730 1000000000000000000 33502800 1587804 11715487 16725086 1000000000000000000 446355502 122070856 206203455 279163584 1000000000000000000 922950806 833841021 74387977 311827348 1000000000000000000 277607425 21899324 117281280 215437133 1000000000000000000 845306703 111930349 516962071 422125275 1000000000000000000 873616235 10711225 316530138 716159865 1000000000000000000 985527755 969097053 703350409 202529601 1000000000000000000 510895053 247752155 360545912 103572921 1000000000000000000 49214232 45732905 6764437 28842404 1000000000000000000 611955183 51078052 241292046 40080765 1000000000000000000 768487149 76814107 736285038 702080115 1000000000000000000 419611238 399633114 361892768 139698696 1000000000000000000 845717150 598466867 451700222 300595908 1000000000000000000 541922506 524194877 72330807 95255526 1000000000000000000 561605485 540109413 465312112 481293921 1000000000000000000 87862894 59524423 2180194 10488272 1000000000000000000 779052278 762287894 164462568 85758065 1000000000000000000 582445751 121855668 374510482 401668924 1000000000000000000 703408935 666979500 591899708 373231541 1000000000000000000 47037343 34104145 35535528 13392027 1000000000000000000 318174780 77171131 300321976 280307933 1000000000000000000 295242051 19969691 63475538 280055767 1000000000000000000 822225556 98558110 709102459 256489170 1000000000000000000 592775799 516527189 235256671 403612523 1000000000000000000 564930739 467959105 327983303 456963879 1000000000000000000 951179910 330254751 199215868 122328249 1000000000000000000 620391707 494868528 377021637 401040611 1000000000000000000 681928091 354952734 415911407 328549162 1000000000000000000 660141824 650841781 377834469 568505673 1000000000000000000 41294820 31997657 6934867 24879986 1000000000000000000 265644803 256141019 68075329 116534670 1000000000000000000 382406754 293060712 297354906 192168825 1000000000000000000 211987883 147750934 114677657 166667710 1000000000000000000 619689609 228674966 309144046 317920942 1000000000000000000 648458438 286715617 230905708 348971270 1000000000000000000 590206921 45919915 46785586 175278000 1000000000000000000 238185062 40835003 66127119 136534154 1000000000000000000 17822789 5916434 14308596 12269273 1000000000000000000 910398939 570561345 378110210 277326842 1000000000000000000 712795023 698105728 369010894 339811533 1000000000000000000 990088249 375874280 619522887 277976885 1000000000000000000 158783427 27133508 44698071 1479969 1000000000000000000 359340410 52047351 104694829 293011075 1000000000000000000 126568005 50588783 81548223 111456472 1000000000000000000 478109633 132571575 290509747 28654064 1000000000000000000 469970200 103273823 316848138 258065728 1000000000000000000 922212996 404043092 898272148 185529365 1000000000000000000 736583569 39632548 568002382 371695060 1000000000000000000 457097428 418351805 98497192 406470649 1000000000000000000 713230416 433470173 427335788 339211258 1000000000000000000 986311663 15010994 490048952 350247916 1000000000000000000 496179524 365320700 472932716 231144391 1000000000000000000 372749794 229758603 208797668 258887124 1000000000000000000 519371925 312260613 409447587 137502476 1000000000000000000 798942304 39190819 193802703 271205388 1000000000000000000 117208751 64176595 19467147 105474739 1000000000000000000 158728183 117590086 16431858 1838725 1000000000000000000 351921751 147208115 189171415 156578711 1000000000000000000 744908981 88248452 38427656 195274486 1000000000000000000 383604880 295277657 264995100 347311441 1000000000000000000 409118645 41309059 137905526 203894402 1000000000000000000 520551901 37656561 353713953 256182065 1000000000000000000 962973691 200754528 172016882 278710178 1000000000000000000 439811501 196701016 178194825 383192990 1000000000000000000 99832555 77631748 34670834 45947998 1000000000000000000 85211655 1135343 22657620 38873728 1000000000000000000 652636680 331941558 36298698 148435922 1000000000000000000 932064404 640992685 311017625 649271909 1000000000000000000 557723769 29692087 152603761 450248113 1000000000000000000 661058693 219692156 469192807 612290555 1000000000000000000 874706989 236523816 219194273 613930393 1000000000000000000 495950497 280671007 326363141 313505938 1000000000000000000 934902256 540605633 871372455 740548239 1000000000000000000 811702027 296957244 260904192 672523062 1000000000000000000 164719020 7306208 73047892 157623276 1000000000000000000 232945991 34765643 135696245 152287096 1000000000000000000 182831837 133408704 163916826 123645189 1000000000000000000 664964584 344271019 221986102 90526948 1000000000000000000 56154113 6332940 53122328 29447994 1000000000000000000 922268525 264958262 802840688 537382048 1000000000000000000 524197006 227584434 391665048 197790304 1000000000000000000 775910642 476096279 463762639 738849665 1000000000000000000 420755510 152983365 98781285 105633987 1000000000000000000 136133338 104268556 85412288 23042203 1000000000000000000 380586909 82802419 307239052 125177223 1000000000000000000 557687235 64738709 201265074 268323937 1000000000000000000 658124586 50122893 289818391 51648235 1000000000000000000 943157033 343276359 400990200 152324915 1000000000000000000 43656050 36947314 33326970 41559458 1000000000000000000 172202484 125143764 23974636 27537819 1000000000000000000 361998199 227455862 67872420 184980272 1000000000000000000 60498383 24030401 36942143 15925714 1000000000000000000 388424038 105782158 237553778 376028753 1000000000000000000 827440157 59100272 538419791 465217245 1000000000000000000 453562755 176151411 372276441 81468784 1000000000000000000 547223744 16716073 259072237 150015947 1000000000000000000 903205912 677123723 755444654 249634082 1000000000000000000 515919703 440165316 96156420 400431818 1000000000000000000 906547504 453546026 112362049 582975580 1000000000000000000 368149648 164893685 251166480 252485017 1000000000000000000 244169374 122289376 23021266 62092320 1000000000000000000 933843667 350395666 108599595 391269649 1000000000000000000 499766280 476139291 357465403 387101482 1000000000000000000 444335648 107246567 145988712 370232129 1000000000000000000 965081647 478779282 282233101 391151169 1000000000000000000 38883902 1172472 1467743 7892433 1000000000000000000 860745792 451128865 97560504 310300511 1000000000000000000 513530592 195430313 369099359 343272506 1000000000000000000 893798086 402720474 229708947 186188073 1000000000000000000 786109806 465901491 49816653 194314696 1000000000000000000 36690379 36354402 739297 9673708 1000000000000000000 713414748 292255225 684607132 365242465 1000000000000000000 716643273 168862274 379379081 365650206 1000000000000000000 30264216 7857654 20266430 8291075 1000000000000000000 282632801 70465219 38339822 176454760 1000000000000000000 508453561 185151130 291725386 83610366 1000000000000000000 644650768 561994216 327549640 84363339 1000000000000000000 239015539 177477268 92963615 210847200 1000000000000000000 179428193 16538115 55272588 86482911 1000000000000000000 30135863 19575180 9151121 4815482 1000000000000000000 644253733 499533976 412055423 140668662 1000000000000000000 874147546 218577544 298861900 173512287 1000000000000000000 126931771 59889688 107475150 37366679 1000000000000000000 841740942 557082519 446869890 141048840 1000000000000000000 893387827 721009383 802725829 854424697 1000000000000000000 551022538 315861617 334527640 254408375 1000000000000000000 399761247 132701929 19034602 51881 1000000000000000000 887771858 255587320 334445997 323855462 1000000000000000000 247358611 231126886 157879950 94831725 1000000000000000000 43305999 8085558 10385033 42505411 1000000000000000000 855586188 58064518 382065169 692854082 1000000000000000000 804848528 757643720 573798294 88949241 1000000000000000000 364827455 87405272 91840791 24512872 1000000000000000000 804543555 341431857 646706763 586184360 1000000000000000000 86656608 63933946 29654201 20609822 1000000000000000000 486285522 326578920 427512803 122544095 1000000000000000000 367658117 1208799 102169460 341227355 1000000000000000000 577094380 345010873 243631475 254758536 1000000000000000000 265056128 212351870 139772993 254220450 1000000000000000000 455145284 129191734 333454958 120784299 1000000000000000000 446719733 356794579 42760143 164933893 1000000000000000000 826260945 125176996 406025602 12938560 1000000000000000000 58079207 45863828 34394600 23224893 1000000000000000000 393502070 301590498 138434156 114381440 1000000000000000000 81400333 54199131 3254974 78375220 1000000000000000000 422318288 3829521 61962381 39561069 1000000000000000000 738922945 575351522 446372921 422763523 1000000000000000000 633931664 423576214 628888232 61727372 1000000000000000000 572242559 275832774 416313201 403781989 1000000000000000000 10770058 8119479 5237003 4476099 1000000000000000000 229898722 122385247 122176259 171224622 1000000000000000000 989626382 784296682 116170131 311531545 1000000000000000000 588225921 309265220 96524138 352689506 1000000000000000000 900195866 363788877 260758698 897502234 1000000000000000000 907954171 302409985 759320116 863527274 1000000000000000000 850832526 189762485 632862875 558950356 1000000000000000000 248872717 19446414 234616863 35486998 1000000000000000000 446781475 158746090 83884012 245181392 1000000000000000000 236111626 86309231 186438480 20278100 1000000000000000000 770483468 409561483 496603760 16209493 1000000000000000000 272394839 231447524 54275922 56181687 1000000000000000000 505177279 257227572 332906368 89177075 1000000000000000000 258938241 201711327 84372811 258338513 1000000000000000000 31160633 25946779 27900270 10872661 1000000000000000000 477093043 157538728 401532119 419774679 1000000000000000000 198715782 108881699 79903499 98366621 1000000000000000000 596897062 299255187 221240629 242886705 1000000000000000000 407984801 395136321 357392803 210702592 1000000000000000000 856336476 79488119 6867609 598197742 1000000000000000000 245872630 66983371 176747615 179442639 1000000000000000000 184749662 150723482 67582881 72907013 1000000000000000000 743162859 521579350 337246331 354374996 1000000000000000000 916972075 189116291 867085397 70180616 1000000000000000000 721184733 302640421 442910981 328700109 1000000000000000000 388426890 157592942 192611718 329345089 1000000000000000000 198728750 172040594 78248994 62435939 1000000000000000000 366843392 6737489 21176861 352242784 1000000000000000000 220363611 56519431 35283800 56052033 1000000000000000000 521724261 378566330 499477896 379219926 1000000000000000000 584906291 462656165 220122224 517246125 1000000000000000000 675000013 475163003 85807151 23901403 1000000000000000000 754833114 509606662 535059972 184930268 1000000000000000000 48742144 7495006 21745479 16013790 1000000000000000000 98452414 89185251 88594101 90757599 1000000000000000000 576900388 537721454 258585930 117211306 1000000000000000000 317608823 302822227 46823703 120213231 1000000000000000000 864429788 39595028 158325839 36212228 1000000000000000000 537558268 466154028 306945168 182562459 1000000000000000000 717749681 528316401 714050458 60031429 1000000000000000000 7227347 2320432 5552307 4121899 1000000000000000000 210547165 111005932 108575231 17332079 1000000000000000000 546188220 382420281 472534236 201860555 1000000000000000000 182009309 85548827 179974526 36193696 1000000000000000000 607899861 191782681 109255961 553695984 1000000000000000000 801385486 187734665 594747826 537825118 1000000000000000000 345584109 295779091 124803116 292970604 1000000000000000000 741846706 26860469 651183566 393881262 1000000000000000000 432748253 13524550 305914753 316472012 1000000000000000000 537347928 421165651 177509833 280811251 1000000000000000000 593748728 163284082 550281766 330039231 1000000000000000000 326854344 253510265 112299908 182475726 1000000000000000000 248448331 95034297 46613307 157793736 1000000000000000000 978504012 13820221 809966482 519065476 1000000000000000000 148109339 4296859 78814006 24233549 1000000000000000000 402774915 373722579 155010816 284545520 1000000000000000000 662150979 353429010 660500505 120366132 1000000000000000000 536181053 185265942 467553104 486147127 1000000000000000000 801342702 487499713 479633375 66525445 1000000000000000000 120232755 114831503 75758056 6157235 1000000000000000000 728481962 465108634 168231775 590647778 1000000000000000000 291172391 190482738 31909533 240818560 1000000000000000000 617985472 32949502 590129988 349034347 1000000000000000000 592470899 331335959 260196840 244721411 1000000000000000000 262392628 41097351 175926604 173917575 1000000000000000000 40702092 24028862 37416507 28471301 1000000000000000000 285403704 227400775 157059974 35304485 1000000000000000000 256753142 100242616 196585733 193381689 1000000000000000000 547076439 280639148 189304652 91210223 1000000000000000000 761136353 462810238 318814078 419174819 1000000000000000000 586463867 573671254 296394853 449122790 1000000000000000000 278129145 72426445 151730954 48567397 1000000000000000000 227454924 226086809 87470781 170409777 1000000000000000000 30602923 1347285 7932212 11630484 1000000000000000000 949632067 746088625 730804322 129891173 1000000000000000000 206537008 72888751 65257319 59817381 1000000000000000000 570908602 306484707 169092662 535139713 1000000000000000000 698319425 558287546 108891498 549424064 1000000000000000000 694787256 485809748 572771976 389737967 1000000000000000000 298271718 122643933 40679417 25092697 1000000000000000000 522203402 208756337 485691268 181659306 1000000000000000000 997160930 744107132 351650967 741314395 1000000000000000000 737005189 157704994 237059955 351928867 1000000000000000000 667983561 518318185 381582177 609759691 1000000000000000000 521283338 273714220 331770823 410928140 1000000000000000000 349952079 208462394 251748155 263040073 1000000000000000000 465140239 232897630 169003882 93402439 1000000000000000000 144538018 80035449 99092152 84570942 1000000000000000000 746390901 572411037 15441968 373214175 1000000000000000000 710523044 36673515 351487462 698022914 1000000000000000000 158227818 157271560 1396695 142709014 1000000000000000000 396993876 167839203 227641697 20375758 1000000000000000000 6657613 5101225 6336655 4935543 1000000000000000000 428817600 207339053 340254335 266371849 1000000000000000000 824504968 290370216 545728689 479057481 1000000000000000000 814769838 777592086 199402007 258183931 1000000000000000000 546533537 106385258 272473892 395969766 1000000000000000000 494469315 25155971 139033601 146522518 1000000000000000000 90038319 5926455 34619930 79469466 1000000000000000000 744571928 7892730 734007765 717139901 1000000000000000000 7226345 3686252 5155655 2205945 1000000000000000000 888415078 351680092 655350122 137281336 1000000000000000000 731037007 331041291 155266764 50772788 1000000000000000000 178047349 154077437 91528843 176735736 1000000000000000000 581569869 468207386 224355294 70779286 1000000000000000000 807139375 659544006 411278237 33897170 1000000000000000000 859084332 76609404 383669187 631217485 1000000000000000000 639903450 528730454 294873251 496411828 1000000000000000000 48559046 4120421 33854844 20389643 1000000000000000000 989006523 616914865 654349865 230956998 1000000000000000000 613084783 76523702 44168219 609017350 1000000000000000000 346249274 289484090 75663140 27393753 1000000000000000000 656654693 205786915 269825187 368937124 1000000000000000000 274664077 120517922 255679864 34893283 1000000000000000000 678049626 187450125 244070337 627045037 1000000000000000000 347217428 205697645 273534187 21502197 1000000000000000000 107186836 37700800 91450375 43091993 1000000000000000000 673650202 39898398 6649735 224924632 1000000000000000000 121599287 30161878 43645399 106029130 1000000000000000000 225646450 22848143 180961840 113738346 1000000000000000000 146769590 25876194 56726014 63954915 1000000000000000000 886139043 734604011 362099352 563534332 1000000000000000000 289202485 17342616 24861751 279332006 1000000000000000000 617798413 167537156 216946289 403127679 1000000000000000000 445633159 118416646 396563620 94604671 1000000000000000000 797231831 715997654 23695546 711457441 1000000000000000000 480069930 309140355 234078947 144842348 1000000000000000000 743102043 212851094 742406780 133132032 1000000000000000000 193481468 189135589 44617727 85965476 1000000000000000000 762550880 325454148 6249995 380467694 1000000000000000000 53421911 1841206 4168532 24694695 1000000000000000000 119916842 103838180 69839050 29031083 1000000000000000000 507065058 368287902 302391157 353358555 1000000000000000000 358839964 272272682 166983247 13033403 1000000000000000000 566410782 121256331 202506062 224552295 1000000000000000000 736271021 582295643 242866145 315431422 1000000000000000000 558048984 439102598 234675338 8447489 1000000000000000000 266914495 197827995 171175627 106450857 1000000000000000000 808124450 112602873 699006263 604533574 1000000000000000000 429559270 337713687 189003449 168499396 1000000000000000000 678864413 450931509 44708131 533510460 1000000000000000000 718159430 61743882 703519078 175849684 1000000000000000000 517405114 300317228 242489432 297011045 1000000000000000000 413504937 129313910 258865921 423656 1000000000000000000 789621225 435704481 241398399 371799784 1000000000000000000 996707125 715919661 234885696 750637257 1000000000000000000 878881537 473711850 820154116 477290505 1000000000000000000 217524745 74397957 61948001 102505641 1000000000000000000 999019628 11670141 92417845 439906075 1000000000000000000 567388654 136645251 374738113 399521625 1000000000000000000 745081535 29898185 354102109 124312242 1000000000000000000 420412237 298378166 244993893 320674366 1000000000000000000 942113549 551491331 559565954 714607136 1000000000000000000 213285458 9771083 130612884 42826189 1000000000000000000 244951375 238949679 89713149 54289617 1000000000000000000 826581278 789797015 70907586 222980621 1000000000000000000 233251300 101924346 138951911 28371281 1000000000000000000 349269438 334819907 172116880 280147628 1000000000000000000 501767279 327653722 219577697 459458438 1000000000000000000 588041970 478625179 54439440 132071170 1000000000000000000 269376121 215988646 265745974 118437829 1000000000000000000 183122318 156612577 136408341 4912378 1000000000000000000 327388453 62628902 42709581 109589631 1000000000000000000 67083943 47636580 57073829 53498971 1000000000000000000 660290751 333514079 37739557 342678837 1000000000000000000 925646586 671207977 211030881 293212896 1000000000000000000 387118606 44233556 181213899 269920239 1000000000000000000 365870871 187421627 246045354 216888441 1000000000000000000 792462416 752261888 304261780 105264682 1000000000000000000 715633504 407589494 399598967 121370663 1000000000000000000 805772773 691579726 67132912 790931945 1000000000000000000 369726182 14363132 356640062 119513091 1000000000000000000 359136776 297385485 78133900 143903464 1000000000000000000 86283303 70389140 8746673 46433646 1000000000000000000 509797068 362722132 148477274 33621758 1000000000000000000 793494891 103742425 285502317 468049085 1000000000000000000 827566314 244200876 270891208 410175005 1000000000000000000 589250720 537537767 400816033 39425053 1000000000000000000 520678465 31687277 355746347 87468455 1000000000000000000 921465843 670463971 622167990 736796015 1000000000000000000 278365736 258968751 230811906 68672044 1000000000000000000 929141884 751898470 750521908 201748524 1000000000000000000 812189697 733794806 807008113 273808702 1000000000000000000 525991904 496347438 87276178 446018226 1000000000000000000 683571801 72493630 369788146 309536199 1000000000000000000 234608369 232178991 96365801 55497800 1000000000000000000 687830652 629022393 184650900 273216643 1000000000000000000 184703266 35117208 179588366 91108418 1000000000000000000 77111650 44232337 31187140 72959645 1000000000000000000 108741057 56432397 91657424 76896817 1000000000000000000 322870875 309727582 285041353 207138961 1000000000000000000 471254665 227514443 364349922 290611465 1000000000000000000 196678438 73967296 85177443 40746980 1000000000000000000 646388725 529055056 385928001 407353795 1000000000000000000 360246804 129674817 288728792 127735646 1000000000000000000 237389004 44496526 113905692 169988614 1000000000000000000 627276193 332032387 351242880 199051627 1000000000000000000 422320372 220927512 19695728 16583037 1000000000000000000 915700412 709374027 800313074 67050056 1000000000000000000 292631038 286552498 116220688 91157607 1000000000000000000 164947651 113332873 62711067 15665165 1000000000000000000 682457840 565937644 30152980 374617066 1000000000000000000 323113812 55313492 76234406 10769720 1000000000000000000 498085621 141167182 291861574 99423666 1000000000000000000 187165329 8901066 24800537 55523571 1000000000000000000 865690585 89924794 505622550 153152715 1000000000000000000 754792379 657264910 10058083 362172408 1000000000000000000 107519691 106654106 51994822 24591147 1000000000000000000 675342474 322479484 259272005 364264310 1000000000000000000 843727497 338739281 203704444 425413167 1000000000000000000 148304951 56688840 41494029 208475 1000000000000000000 371978457 284389735 51742589 4499770 1000000000000000000 777665464 273185089 286453528 679695221 1000000000000000000 585824841 452598052 561707410 162995859 1000000000000000000 40975424 9324576 15729800 21441679 1000000000000000000 481731942 480721979 115107411 238464387 1000000000000000000 960976996 195191645 364602413 805246155 1000000000000000000 414554396 69173998 24774166 1952084 1000000000000000000 684177916 412082184 441979877 400382698 1000000000000000000 531362789 380957875 273606191 200508114 1000000000000000000 292915335 244495083 86531933 243594672 1000000000000000000 267887586 134649300 149675769 57274014 1000000000000000000 229006420 23641687 132154389 118516899 1000000000000000000 15430369 14904498 2463430 13701976 1000000000000000000 897089564 773552697 862147915 158304515 1000000000000000000 655108512 391158590 330259747 589562385 1000000000000000000 427893587 162819686 408240011 383695637 1000000000000000000 296949163 239897590 212676676 290305419 1000000000000000000 861299059 119554103 852009326 445968703 1000000000000000000 203662857 15623237 199101835 167461460 1000000000000000000 947211613 564022921 830841283 803451912 1000000000000000000 836639642 160862380 259339414 233477695 1000000000000000000 177572021 15607294 80211201 140787527 1000000000000000000 529265883 2375373 457353629 33911427 1000000000000000000 601640291 466047350 516352837 501552038 1000000000000000000 620942248 597358544 474239554 81509502 1000000000000000000 478840507 108835099 259612298 221601293 1000000000000000000 123157830 19323198 103207519 63311970 1000000000000000000 902847844 69289348 658939195 643917373 1000000000000000000 332545109 3640620 127511421 184430512 1000000000000000000 431139375 16001520 92795684 337524100 1000000000000000000 235582882 235078338 2655355 78923216 1000000000000000000 494690702 330907989 355794876 90055683 1000000000000000000 253967733 34399248 174775429 91524100 1000000000000000000 713049637 689129610 332322578 641246151 1000000000000000000 78175540 69889645 14244081 49954657 1000000000000000000 367365812 144392853 24196947 286448271 1000000000000000000 443069297 90822422 237379579 18208319 1000000000000000000 72629878 32118271 38464860 41724366 1000000000000000000 978827620 882116230 724045561 111009737 1000000000000000000 948952507 887005746 704936589 512270470 1000000000000000000 389545251 293072953 296529608 178364825 1000000000000000000 928692480 534449430 779050756 533728112 1000000000000000000 794938904 32926384 172530258 7723856 1000000000000000000 401051083 143683276 145532387 274239010 1000000000000000000 887072124 844844269 776722957 123790723 1000000000000000000 256190605 226297558 131031391 26876043 1000000000000000000 365791005 189795415 245531109 320592221 1000000000000000000 922831112 513088717 106813042 844066458 1000000000000000000 427638265 245037062 288314203 314469891 1000000000000000000 49720207 13865810 14491568 27332844 1000000000000000000 980366594 730891153 282068905 856990148 1000000000000000000 819812233 98287996 729860926 376433200 1000000000000000000 720632837 466619210 629701847 448372854 1000000000000000000 360150747 196407828 56802662 272752083 1000000000000000000 864965716 202120203 620401502 275432541 1000000000000000000 104516159 5763817 88474691 25238175 1000000000000000000 276273702 109281389 48898682 191526153 1000000000000000000 496760179 393983829 266423977 418299269 1000000000000000000 714088317 191989024 60320975 648197980 1000000000000000000 686229306 51676359 84832313 368767633 1000000000000000000 617085579 34946214 533367875 534783504 1000000000000000000 578027791 244056264 429095285 314959192 1000000000000000000 15799688 2622307 11060931 3921554 1000000000000000000 150615060 145482023 150428754 102904917 1000000000000000000 462192482 70052299 41242727 227808764 1000000000000000000 738913951 440818694 56471732 181720964 1000000000000000000 285937899 76079015 280399709 167999326 1000000000000000000 419999905 33019787 223780342 358824188 1000000000000000000 510137563 393009 40574336 427282669 1000000000000000000 258040835 198741176 214494228 45529682 1000000000000000000 959834564 955129830 359402924 172430734 1000000000000000000 859112254 849109839 18516507 61257738 1000000000000000000 532384158 355106773 236229139 178865080 1000000000000000000 248133440 17003589 204514727 116265966 1000000000000000000 121522459 56114335 22367625 38446243 1000000000000000000 950381728 17523399 543298413 609255638 1000000000000000000 212510560 180495363 88228463 102839 1000000000000000000 815098571 459601116 277499287 291359248 1000000000000000000 602073199 70982946 144275603 248958029 1000000000000000000 576936200 2229126 106104376 314056446 1000000000000000000 277394523 188605018 185321408 254274253 1000000000000000000 292150861 229758890 240203170 166832915 1000000000000000000 786946938 780897202 128629101 690439285 1000000000000000000 594636116 254534615 582717429 468792204 1000000000000000000 761650755 751885588 251970363 42863973 1000000000000000000 924952642 698430072 596487270 637002670 1000000000000000000 775691331 588784975 20506542 218700020 1000000000000000000 305706514 33213776 5372847 243465123 1000000000000000000 438763295 199034459 384978816 400356716 1000000000000000000 504804007 260758952 205242401 368707782 1000000000000000000 612727596 348883629 510444128 62160358 1000000000000000000 208029574 120789549 62506655 33620230 1000000000000000000 326649166 103264785 304017498 323780476 1000000000000000000 857186755 754172773 581437381 712749397 1000000000000000000 980701926 370674420 242729489 644174889 1000000000000000000 383135782 369214619 145262267 171699306 1000000000000000000 290263775 284685954 277199616 2198503 1000000000000000000 754673024 292275550 70915250 747477009 1000000000000000000 622809701 587640655 160638548 351384467 1000000000000000000 68965688 38129398 32953389 53449592 1000000000000000000 257177845 155068279 139864393 14060376 1000000000000000000 976975095 774411580 437484684 356705304 1000000000000000000 348732531 51525892 64718300 65228852 1000000000000000000 416663232 238027630 87493758 23010547 1000000000000000000 573095714 393695366 152787349 205731307 1000000000000000000 837192165 204778162 479872536 428894127 1000000000000000000 82139519 68521453 3517705 51408726 1000000000000000000 486938042 222450393 95768143 5092954 1000000000000000000 812347446 755286738 408980244 45515152 1000000000000000000 61186325 10661079 51801865 529990 1000000000000000000 685047300 239140025 627475551 417794836 1000000000000000000 653004123 61741054 199126289 313663117 1000000000000000000 558649852 251357158 53637133 132602625 1000000000000000000 664268374 214598062 327121534 628655569 1000000000000000000 423875655 104301665 408532463 423736876 1000000000000000000 327184730 56114418 4134451 203926534 1000000000000000000 474348861 45814718 323326049 141440755 1000000000000000000 539683919 415976942 416706053 150347290 1000000000000000000 926523969 280209274 900909998 439564021 1000000000000000000 15945781 1259560 10840872 9536317 1000000000000000000 363504314 16501969 336808401 257499628 1000000000000000000 852230678 78050986 66190294 527233823 1000000000000000000 107111450 104308787 89978843 21422290 1000000000000000000 592626758 60378809 380929315 364118836 1000000000000000000 703325291 513223824 677727686 360371242 1000000000000000000 136659350 26684564 121435911 1870463 1000000000000000000 430757195 235641909 84117173 189141 1000000000000000000 202062164 16524304 92481324 145675334 1000000000000000000 241646349 143084845 135772822 132523032 1000000000000000000 356023404 35361407 87159316 324505383 1000000000000000000 496200333 376942413 66274982 187176055 1000000000000000000 226604754 148031071 33952879 81700163 1000000000000000000 244325504 127673325 180364062 93731401 1000000000000000000 77423180 19899013 53079775 25335942 1000000000000000000 999657634 388922855 636786400 862174917 1000000000000000000 152887791 111925750 24791109 4901758 1000000000000000000 80076926 37099111 53522463 18405391 1000000000000000000 378137375 234281116 60751321 355978657 1000000000000000000 974688918 762248449 535883981 619129648 1000000000000000000 62946154 15702547 13160675 11470633 1000000000000000000 869538155 362828677 500323552 240083918 1000000000000000000 625575883 284893772 76030584 197238170 1000000000000000000 782802385 49991178 346743020 781979470 1000000000000000000 827105152 605642483 51580497 124029738 1000000000000000000 352426552 102803610 8751855 153255011 1000000000000000000 575852614 306084818 48319816 63802019 1000000000000000000 826448718 119950573 234432904 755527663 1000000000000000000 440442318 44484143 2283172 276282377 1000000000000000000 582784701 494117636 340639996 221236608 1000000000000000000 693175974 632641373 197606037 610979229 1000000000000000000 971557523 360020488 939987956 732144678 1000000000000000000 429884687 140137486 181468507 140246684 1000000000000000000 664147864 519673684 2273699 94527665 1000000000000000000 377793928 366024085 306899805 330855862 1000000000000000000 176428409 109133240 53911550 131997478 1000000000000000000 745291339 621909807 187241212 116568035 1000000000000000000 754934000 267077398 471924346 284318326 1000000000000000000 362727713 106253031 148094666 143729077 1000000000000000000 248724529 188269317 32418710 240075138 1000000000000000000 113612715 58210285 38729732 1706964 1000000000000000000 886739649 590889386 751694530 610919885 1000000000000000000 613876757 396145459 494914198 322111801 1000000000000000000 155817099 75831950 42450258 146596078 1000000000000000000 107231372 31323052 79487656 60304958 1000000000000000000 30986911 28189276 1977734 6626837 1000000000000000000 746975907 722990696 277359324 527405331 1000000000000000000 254907635 18752505 228768123 26598563 1000000000000000000 417362479 117276401 273522696 190599910 1000000000000000000 756774800 222211578 353368976 100205652 1000000000000000000 994846848 853350664 702335111 11795617 1000000000000000000 168025777 128072309 3867807 79360696 1000000000000000000 487212064 377344069 143000738 91562983 1000000000000000000 26865641 16804689 14299547 21650421 1000000000000000000 421810024 99210898 334364561 312472227 1000000000000000000 537309245 19421037 87584496 282762594 1000000000000000000 112982057 100825594 27577870 42724139 1000000000000000000 823566753 102870339 474036281 644067606 1000000000000000000 868259946 632105099 805718084 181612616 1000000000000000000 41212820 13282556 29949347 33377390 1000000000000000000 371086880 255240248 126368453 152941599 1000000000000000000 803598452 48616713 360382348 65878848 1000000000000000000 980155942 317332361 408272295 643637091 1000000000000000000 890063447 18631274 328317188 781953163 1000000000000000000 373910584 318062864 326797188 322833814 1000000000000000000 842313740 314785353 596750141 369783208 1000000000000000000 890528416 114383281 445104782 686719258 1000000000000000000 94331108 87966166 4459530 12394088 1000000000000000000 243037441 213475735 204843778 24875544 1000000000000000000 448271914 219217336 157413482 392649827 1000000000000000000 968276435 881045801 625361187 949172923 1000000000000000000 567736858 88562070 297098347 237953166 1000000000000000000 601201041 377681203 330403947 37790247 1000000000000000000 337714339 34254375 40572155 331068528 1000000000000000000 240852320 93052855 92856064 192986377 1000000000000000000 20700746 2718451 12658219 18740432 1000000000000000000 709396366 188923529 418407905 683833528 1000000000000000000 379282139 311838301 131084226 265857400 1000000000000000000 760644721 604808974 541276356 689562666 1000000000000000000 771022112 39723517 294963040 684102452 1000000000000000000 835170432 16483556 231287159 568007284 1000000000000000000 593734688 18218893 285067640 57704561 1000000000000000000 493200369 439772450 430722926 135319088 1000000000000000000 904468172 373704143 355044574 198934832 1000000000000000000 830959020 302523266 81148606 273832717 1000000000000000000 537286769 269434363 21447845 437196945 1000000000000000000 424785464 253065648 42716767 372184384 1000000000000000000 203091982 257443 82107103 62200654 1000000000000000000 328391876 206228775 156654663 145182034 1000000000000000000 34913834 13252166 22298921 30662552 1000000000000000000 321962618 243242279 297186052 170863367 1000000000000000000 683177746 253741055 230264159 565167119 1000000000000000000 476263548 311975287 292694106 148114 1000000000000000000 689717217 384804448 93491555 394149033 1000000000000000000 27346214 19669095 13523505 21392849 1000000000000000000 982243388 118252624 109029923 864540899 1000000000000000000 841507683 364419622 233168121 494172973 1000000000000000000 11949252 4473114 4464711 1306803 1000000000000000000 237700845 30372069 140261410 161165282 1000000000000000000 743229716 200077814 724247346 410062530 1000000000000000000 816886703 304189104 132763737 636029067 1000000000000000000 433471058 337837323 20673649 227756587 1000000000000000000 224036227 99148588 80331962 94874993 1000000000000000000 103218554 85984877 16639981 26319105 1000000000000000000 138812598 39736629 120146825 109264104 1000000000000000000 146790941 54643890 6607780 75033378 1000000000000000000 442408563 341980240 19480246 414654709 1000000000000000000 397634910 277556940 234544736 184544135 1000000000000000000 982379565 159277855 846827486 342295347 1000000000000000000 599339263 184620733 515058146 180917357 1000000000000000000 932124688 293457542 660589220 87568849 1000000000000000000 753226027 88421739 312717717 195301994 1000000000000000000 886639227 485830158 120795927 815108407 1000000000000000000 89667099 41258013 88807385 19104764 1000000000000000000 829966842 811936460 492492205 657612948 1000000000000000000 870405620 496038322 706767211 492423284 1000000000000000000 410203397 94781006 168553284 97194597 1000000000000000000 570798376 566617247 160498753 382443115 1000000000000000000 384280296 254205321 135986376 338087129 1000000000000000000 688425614 172281446 18314871 36787358 1000000000000000000 708614013 300575872 505957460 655367924 1000000000000000000 54983147 17153664 51449701 18311308 1000000000000000000 949814043 820060231 783011954 942400777 1000000000000000000 441653755 440383186 225891129 328744297 1000000000000000000 476352870 110732696 150644423 59921845 1000000000000000000 495930795 24086856 308907071 298560704 1000000000000000000 784184360 333116991 655963846 139066727 1000000000000000000 205394103 188684882 25596163 33558798 1000000000000000000 6633810 3660437 932173 3282115 1000000000000000000 981724436 230326847 559751658 612651713 1000000000000000000 586400498 579732209 475497700 109302231 1000000000000000000 442917461 213909912 354997795 73614151 1000000000000000000 961129020 166194567 420529049 7975822 1000000000000000000 397787888 166022321 117157272 62732582 1000000000000000000 869716127 316477679 427608434 401636019 1000000000000000000 779770268 107352123 336037995 624655633 1000000000000000000 743989041 246079498 7124381 207264046 1000000000000000000 251665487 57173100 156720784 192488254 1000000000000000000 24513918 10399760 14008541 22557626 1000000000000000000 205504949 32205370 141962388 178722575 1000000000000000000 780744824 629925599 218873033 105506331 1000000000000000000 323345524 193031447 309547493 221448630 1000000000000000000 824776579 649828576 542140925 340229708 1000000000000000000 836084262 339501988 420459812 431587509 1000000000000000000 212504927 52181231 128011149 145620431 1000000000000000000 403496037 329165072 400311561 368859336 1000000000000000000 464047978 452071896 90864360 392616024 1000000000000000000 96279740 38914524 73603364 68954360 1000000000000000000 182443340 126777954 153184662 52663068 1000000000000000000 870620965 593300040 330760616 299455898 1000000000000000000 33278699 15174906 26852235 21215935 1000000000000000000 646860685 186116385 593733643 474881392 1000000000000000000 56796571 51998544 5001551 34904002 1000000000000000000 477176142 472627570 26942949 18588657 1000000000000000000 744981129 580713503 540944345 394914871 1000000000000000000 472692858 273485576 460865978 301946637 1000000000000000000 971004915 315515345 180329396 86683427 1000000000000000000 193970447 57378533 23356154 153123002 1000000000000000000 960709403 888487407 373400906 439861000 1000000000000000000 210857696 130745332 159821213 172339981 1000000000000000000 210343651 202572543 128891998 172513830 1000000000000000000 287734952 254162984 261714044 202940572 1000000000000000000 165522197 160195303 76050187 105922277 1000000000000000000 586584861 220954984 148797542 415928018 1000000000000000000 744323945 509313865 569096108 220747327 1000000000000000000 637913774 529785732 216155813 447697709 1000000000000000000 777838603 672741838 60697700 768267452 1000000000000000000 108531462 74618746 13006663 63220573 1000000000000000000 92926335 5816672 2220485 61549231 1000000000000000000 813264424 765601761 153372606 650463630 1000000000000000000 567566598 204434495 550364359 422425437 1000000000000000000 20742916 20015947 1236565 10416241 1000000000000000000 886211510 46247504 614237410 346436876 1000000000000000000 104611317 21277391 27568810 8961846 1000000000000000000 847398841 142487211 184441009 553953214 1000000000000000000 460864137 313071259 257559906 35618581 1000000000000000000 820534783 454903865 454721888 597130833 1000000000000000000 751047658 31455452 47978181 578056489 1000000000000000000 282577795 263438397 120295224 225774868 1000000000000000000 646538182 595775002 100975060 432654768 1000000000000000000 855807494 95364642 262106266 374008697 1000000000000000000 188539615 20079688 68698065 25036140 1000000000000000000 133415918 51834865 120010171 45200258 1000000000000000000 446222394 29195051 242205633 34828915 1000000000000000000 298642711 24591846 268493248 226431853 1000000000000000000 508124957 39992172 403349031 31871435 1000000000000000000 349026723 283096747 17001807 90402669 1000000000000000000 325188327 147047025 8180238 27593095 1000000000000000000 987876273 70069957 383883735 121934996 1000000000000000000 355708783 156419537 64281748 141728119 1000000000000000000 409806346 138207165 324757456 43439223 1000000000000000000 191973280 17093553 182814866 6358217 1000000000000000000 900265015 811300824 381436787 579405687 1000000000000000000 455766483 48354866 238627712 406312658 1000000000000000000 90144455 66651204 19233988 71055879 1000000000000000000 360296537 104766633 261495883 136487008 1000000000000000000 52873643 27537495 23092837 11038890 1000000000000000000 856532307 144037223 589379884 114992403 1000000000000000000 856265555 627546178 829267691 290450178 1000000000000000000 256833522 155617087 213515841 217042626 1000000000000000000 147359586 50620330 94039857 95717386 1000000000000000000 124220017 107027171 22852129 113084227 1000000000000000000 205327793 29257946 96981686 117313521 1000000000000000000 483145590 180826104 406921657 164442754 1000000000000000000 870684921 488234067 705991196 655301935 1000000000000000000 362995831 72116115 100651913 361878689 1000000000000000000 521374035 106144565 113881009 454697824 1000000000000000000 613270989 539199941 324474192 305867833 1000000000000000000 597313986 448361892 383781512 99059813 1000000000000000000 303328918 65937319 201433935 244642346 1000000000000000000 614299374 480548686 500601336 81540355 1000000000000000000 25452672 3380184 23481719 22400292 1000000000000000000 600037079 500788846 435222708 54380546 1000000000000000000 205054109 189655515 59418387 90581572 1000000000000000000 548878749 377291646 185636282 519897179 1000000000000000000 711398207 155298354 384714645 598641872 1000000000000000000 205067478 26091997 72343807 166219339 1000000000000000000 644904266 13156386 264353998 429526485 1000000000000000000 299729934 178516671 282364953 278854831 1000000000000000000 286168993 100959917 152792180 145510162 1000000000000000000 802760848 785658843 379068442 703821996 1000000000000000000 449829077 305622593 284917389 423152720 1000000000000000000 118076793 102089441 34091125 74496694 1000000000000000000 446190717 260476162 188825173 240683765 1000000000000000000 880121163 730842431 433052915 455128518 1000000000000000000 641556350 249466916 85987776 235529391 1000000000000000000 48938065 42593446 47792459 12160725 1000000000000000000 125235746 46263261 50242348 113131393 1000000000000000000 716317725 217253331 663495264 379761953 1000000000000000000 697679538 475998787 407012026 108487387 1000000000000000000 596935319 52846823 42121675 415088213 1000000000000000000 154168478 140266104 86055519 31221322 1000000000000000000 863843115 659316986 5373953 181708979 1000000000000000000 581049483 447717486 21170882 493452039 1000000000000000000 262003250 223129163 179883511 170257340 1000000000000000000 415219944 259069625 206333742 133103347 1000000000000000000 463422064 365535894 44169230 457843477 1000000000000000000 521876628 507789884 375683238 189711689 1000000000000000000 827030492 286471950 469277269 575781421 1000000000000000000 85712595 85142159 85689063 12863742 1000000000000000000 451164620 181149753 177591887 154444772 1000000000000000000 776462168 153090992 94866261 750747748 1000000000000000000 294335962 75233114 965008 256086297 1000000000000000000 905725198 223230351 358484303 380550756 1000000000000000000 165831350 124644362 43003316 91775500 1000000000000000000 511754823 407197196 35476280 234495417 1000000000000000000 53159589 52839599 17524561 1753345 1000000000000000000 757976757 369810949 655711810 251586575 1000000000000000000 940934786 199037409 595389492 563613097 1000000000000000000 546556422 509012902 18345903 60127699 1000000000000000000 921937407 535514904 285811646 385187376 1000000000000000000 150603052 41833307 80867973 21740204 1000000000000000000 21985075 13712950 15160485 13809111 1000000000000000000 761975398 487343304 203383845 658136353 1000000000000000000 767952687 761093460 26228583 112007655 1000000000000000000 223022277 181025298 219045304 71646046 1000000000000000000 240077679 144334080 201193019 115398509 1000000000000000000 124956131 119499985 3762272 116706326 1000000000000000000 202444751 113908842 71623835 50804561 1000000000000000000 500099603 495076564 475589386 473344138 1000000000000000000 741776822 510091712 148486262 178339851 1000000000000000000 920663801 680167167 848872764 580311547 1000000000000000000 726320995 623484423 387962194 170113770 1000000000000000000 980402252 930413115 873898943 329721963 1000000000000000000 250026831 14666719 51991041 183031094 1000000000000000000 753173462 376572639 480200411 492467723 1000000000000000000 222720408 114342476 27056231 203008957 1000000000000000000 611313075 452948559 1611994 541862138 1000000000000000000 31817529 24302567 15138671 11390540 1000000000000000000 949327920 932825441 736475004 738917147 1000000000000000000 959002005 793404856 939951594 840729003 1000000000000000000 256232358 216877229 229782000 91697915 1000000000000000000 399422902 38961833 244586329 272273115 1000000000000000000 136717867 80190444 111937721 106821967 1000000000000000000 816239312 81239235 729616255 747309546 1000000000000000000 915915932 506123589 552009350 1810876 1000000000000000000 115043794 103676816 12552322 23752022 1000000000000000000 160059715 89438028 18132041 115424307 1000000000000000000 678598096 181280730 404239307 365566921 1000000000000000000 260330293 136673473 159251857 204288624 1000000000000000000 340698594 211114128 317651436 208148913 1000000000000000000 986944476 952412242 407204700 217756040 1000000000000000000 165318241 84212283 128601843 127780752 1000000000000000000 770135049 627931662 266348671 462912738 1000000000000000000 126897551 58341731 91031870 105995473 1000000000000000000 197259295 176296759 165980933 194447281 1000000000000000000 225909569 219939097 97952365 80420900 1000000000000000000 466025576 364233795 216864777 273448291 1000000000000000000 328921612 257024734 325217717 203326818 1000000000000000000 663720691 174996113 248233070 271814961 1000000000000000000 560439687 310948758 278437357 116685610 1000000000000000000 85457915 64459939 8117339 35198540 1000000000000000000 645870121 29175942 176610892 289100862 1000000000000000000 558063436 286111158 200606800 455675060 1000000000000000000 609546480 10829605 260760497 118763967 1000000000000000000 612790309 451335040 359160524 322746538 1000000000000000000 128510649 86677690 114246436 114051101 1000000000000000000 157601845 85050662 16853387 90822868 1000000000000000000 173116665 9411136 11489290 117913669 1000000000000000000 946760923 432006467 275796604 676747493 1000000000000000000 317437063 279467871 80326961 95341622 1000000000000000000 36268420 2001461 7228826 836921 1000000000000000000 289277590 191852194 191662822 104902094 1000000000000000000 738967646 669690069 49059773 18868343 1000000000000000000 366063844 324445236 178069078 268649434 1000000000000000000 780383767 467024955 629939304 385759623 1000000000000000000 23645637 1212840 17913998 10549538 1000000000000000000 479900153 133544933 354483035 168833642 1000000000000000000 471140475 197719029 450984334 415864444 1000000000000000000 208249305 46351553 91979291 165395927 1000000000000000000 173593575 71639017 160652601 64168495 1000000000000000000 71745479 10191928 70306203 32666844 1000000000000000000 320170315 246816889 97459596 47389029 1000000000000000000 16997263 7353555 13873725 5221550 1000000000000000000 350594291 30951033 332780342 39134403 1000000000000000000 287529447 242058885 216773674 32653840 1000000000000000000 105001246 38650665 5240266 91430472 1000000000000000000 381981140 179890769 182272746 97360322 1000000000000000000 884580860 263929292 830249528 58563662 1000000000000000000 365787941 1351111 76357310 78749134 1000000000000000000 133126015 125964202 46225501 34729346 1000000000000000000 411112967 353841189 100036436 369262349 1000000000000000000 743240571 157171037 367835198 147572702 1000000000000000000 878065933 487281194 199823099 873224143 1000000000000000000 376567511 201135076 177991735 60041033 1000000000000000000 269515815 229016447 149662238 34871878 1000000000000000000 653024482 612353226 233707567 131869593 1000000000000000000 358831203 27586033 62322859 187396764 1000000000000000000 865450692 549267628 362124414 617637718 1000000000000000000 460674446 64906817 42463222 181928016 1000000000000000000 654718409 317267817 161873759 70456332 1000000000000000000 872050904 137392233 572541711 348829516 1000000000000000000 225147500 201891588 3539260 8302263 1000000000000000000 214085456 101898710 13110100 95594435 1000000000000000000 662168776 329403515 23128579 266683092 1000000000000000000 853036921 74852950 99846273 233310936 1000000000000000000 10961439 9006664 3687312 10117698 1000000000000000000 800911373 518480391 68292323 351953010 1000000000000000000 653063216 369180876 592017153 127507074 1000000000000000000 285755377 275997789 279326988 59121535 1000000000000000000 994841202 693109494 796100785 901919531 1000000000000000000 957612247 918207358 514876149 219386494 1000000000000000000 111753700 75218605 1433430 103043738 1000000000000000000 404292597 297241899 86639154 247968946 1000000000000000000 91636250 16527529 51574938 36807811 1000000000000000000 904185653 625376933 716056690 250090071 1000000000000000000 249390043 243028455 40487338 131073121 1000000000000000000 17325161 5134103 1346446 4613964 1000000000000000000 449953496 119659278 37107695 255667319 1000000000000000000 345089340 248998144 299293006 216803354 1000000000000000000 361841186 31390882 252455690 198630478 1000000000000000000 945613639 530616716 544472201 491601382 1000000000000000000 722163566 559600257 553466652 79673964 1000000000000000000 468888314 263354240 156873015 462942600 1000000000000000000 806085787 159770653 530595974 400555522 1000000000000000000 501060561 94732317 334401510 409794986 1000000000000000000 96370142 43914760 43859130 34715029 1000000000000000000 513091811 339209867 432453006 118354431 1000000000000000000 569900960 2091247 446779292 201092584 1000000000000000000 43543830 8293303 13501716 14490644 1000000000000000000 956246522 54328444 692524896 160569187 1000000000000000000 239370089 24600131 111071059 94241276 1000000000000000000 653266281 432027209 286111890 47807575 1000000000000000000 790184430 302920858 230363414 628863801 1000000000000000000 57560317 29728561 45357078 26978716 1000000000000000000 292501900 177556358 168060917 264801570 1000000000000000000 238013911 8081387 99044263 177185630 1000000000000000000 720013717 690920329 643773709 369612710 1000000000000000000 683809025 19124387 649225515 455693690 1000000000000000000 173032494 56422330 47239388 42867799 1000000000000000000 906182888 175433223 843511968 193730341 1000000000000000000 779923982 313317284 200143273 400182006 1000000000000000000 101724309 44042628 100324873 100449695 1000000000000000000 247412635 87244531 63316428 203923836 1000000000000000000 331482781 238841882 27834990 286399142 1000000000000000000 865775793 582763966 322266269 635113009 1000000000000000000 122659979 76882448 19080691 32501703 1000000000000000000 308144407 255273256 106350576 27115022 1000000000000000000 865711149 800377298 402103501 702944917 1000000000000000000 823198074 65179561 740560843 549169064 1000000000000000000 432959819 282083514 397056239 71390787 1000000000000000000 993016834 213544812 519548268 82091864 1000000000000000000 147017352 61519504 120588449 73191430 1000000000000000000 313591561 179555649 188538512 22032773 1000000000000000000 844390554 581903414 376059302 6984793 1000000000000000000 236836178 29717523 145772174 74233203 1000000000000000000 985364714 44605564 258209369 20778841 1000000000000000000 895616298 548270374 664712547 763519753 1000000000000000000 657146923 261267071 253663520 654790034 1000000000000000000 258823231 240466304 88507895 42991687 1000000000000000000 49839584 15888338 24418495 28602643 1000000000000000000 494500664 66513798 468370626 194146797 1000000000000000000 867543419 502736548 253852728 131517462 1000000000000000000 419192851 388287542 74761972 392987630 1000000000000000000 827209357 202379255 715960554 762819969 1000000000000000000 909510584 815767464 704332380 638937014 1000000000000000000 118342994 94987470 62177968 109795690 1000000000000000000 494824395 81202080 189551980 113483966 1000000000000000000 432654410 167169377 165988227 179661124 1000000000000000000 853861242 3664556 520949668 212585479 1000000000000000000 355100828 348286662 336432931 130784935 1000000000000000000 670364032 350096471 419707382 456176124 1000000000000000000 371730192 181350758 243931411 169982251 1000000000000000000 540328367 33758675 122974422 204845595 1000000000000000000 530309110 113718725 20940693 89441276 1000000000000000000 357416012 282770816 238968826 96738996 1000000000000000000 224999694 224133319 24518120 11336840 1000000000000000000 49667674 46410333 8040051 19576322 1000000000000000000 44557756 36385803 35578461 41225835 1000000000000000000 888230873 878601137 580457571 851668377 1000000000000000000 617515646 68308997 600487573 204870783 1000000000000000000 777548769 523143408 438657362 324698399 1000000000000000000 891903839 717236025 236099491 657226619 1000000000000000000 851664042 8803371 431853289 471455846 1000000000000000000 507661720 106612074 431538707 52155887 1000000000000000000 627346983 488849495 306124425 402711334 1000000000000000000 170619825 34922197 129262293 162799584 1000000000000000000 828794861 562437697 511359300 97633435 1000000000000000000 422976556 416543800 86257692 172180062 1000000000000000000 767960884 581210205 714817881 63994661 1000000000000000000 162248266 9635268 66254768 24677725 1000000000000000000 21405693 2660802 4111460 3217661 1000000000000000000 780893216 482289513 219318903 55373906 1000000000000000000 115616244 6744464 68945100 27547049 1000000000000000000 591918751 69465989 366791517 464056993 1000000000000000000 47155886 5953358 35006842 1893331 1000000000000000000 941344043 166855104 571226134 913533564 1000000000000000000 17777290 12674357 242427 7270105 1000000000000000000 505596306 151635223 318799189 356751313 1000000000000000000 615941078 113348655 174206395 604360720 1000000000000000000 388023901 13790681 171126347 194330825 1000000000000000000 612195389 171881010 439269545 28790666 1000000000000000000 288461768 221857306 204335689 91870858 1000000000000000000 611638293 131434346 542449504 476454672 1000000000000000000 494352491 137736292 126902539 177287714 1000000000000000000 741010711 335449939 117525332 440682229 1000000000000000000 305105660 226882531 109463407 277534094 1000000000000000000 888543914 267553594 213615246 604936261 1000000000000000000 955157317 523271973 567357969 741758940 1000000000000000000 474585571 439031326 212759826 394059264 1000000000000000000 214512250 162592972 180054763 128252195 1000000000000000000 502720335 299770177 297089142 87788311 1000000000000000000 113945128 107786875 63087780 61657202 1000000000000000000 718734246 310545281 293767116 289360362 1000000000000000000 930430614 494584797 333558778 559501732 1000000000000000000 107596469 28465658 41797815 79974264 1000000000000000000 389532883 375052394 70773355 274103151 1000000000000000000 291534892 272550816 56138934 140421757 1000000000000000000 248041147 52479471 169755481 46467204 1000000000000000000 66702157 44926572 18808200 32518360 1000000000000000000 225152064 119524801 211216465 50806982 1000000000000000000 3688062 2995317 636526 450825 1000000000000000000 187572896 44648958 92103538 46211906 1000000000000000000 786298137 282961822 564019227 206673848 1000000000000000000 542730538 409109968 326398806 46806673 1000000000000000000 309111323 159883292 61510062 186858541 1000000000000000000 895702286 292488553 610198178 678470993 1000000000000000000 735617051 31185634 254569685 76324733 1000000000000000000 692894250 142990288 202383134 190608677 1000000000000000000 712327509 334681463 513413588 576859225 1000000000000000000 84033464 8996628 49442100 8090973 1000000000000000000 297962751 16132772 19584792 273804973 1000000000000000000 169641542 2652727 90543416 19456766 1000000000000000000 938267674 287333680 580971598 50521854 1000000000000000000 903677888 380156613 888074978 325050241 1000000000000000000 565735678 9450093 103769853 344682101 1000000000000000000 851962160 473099135 3453940 439529796 1000000000000000000 199279958 171755033 182999187 94308944 1000000000000000000 363499590 161010315 6900317 275456441 1000000000000000000 251087122 233041681 36134971 128835064 1000000000000000000 82327389 55119044 36269334 35610312 1000000000000000000 898584972 457416500 463697759 769845381 1000000000000000000 442476730 363258534 113229980 313230365 1000000000000000000 714643366 643071482 606383186 184424399 1000000000000000000 317569833 167652172 189917054 254553885 1000000000000000000 735033809 467364359 230720026 707184956 1000000000000000000 2043861 220499 1282363 295149 1000000000000000000 783666546 73487200 297236873 455314375 1000000000000000000 373696032 183814963 116374972 177433911 1000000000000000000 483003474 303615383 226316999 143655736 1000000000000000000 726170052 295597386 243774479 369037976 1000000000000000000 859659867 58244291 313599259 810035399 1000000000000000000 891845067 27695222 86408460 467914384 1000000000000000000 409740525 95190547 292311772 138504330 1000000000000000000 113485399 15361583 1045349 13598872 1000000000000000000 456738473 202024872 161084642 419366939 1000000000000000000 625196165 211269219 386231954 135731790 1000000000000000000 528385217 69800849 273875662 60079305 1000000000000000000 461895155 428326111 443056298 456469441 1000000000000000000 868901614 462184592 193900860 539665559 1000000000000000000 824907480 719886680 641259832 707328879 1000000000000000000 870688379 177597883 208213408 88970843 1000000000000000000 567375335 278959032 508322563 413670150 1000000000000000000 537762262 34091606 505370926 419978769 1000000000000000000 707790289 431517509 675151736 690378756 1000000000000000000 462686593 101941993 417124095 279679682 1000000000000000000 968240294 226064603 361299052 741269111 1000000000000000000 724799847 317766319 637372919 97212776 1000000000000000000 266587320 83307089 216023699 143002558 1000000000000000000 955449674 141479057 14754567 923613176 1000000000000000000 375882916 233617823 247101583 83976385 1000000000000000000 651328905 134505126 485508816 209747183 1000000000000000000 293006686 184970172 93039881 108574007 1000000000000000000 516652836 34149741 473825899 67850944 1000000000000000000 619761917 504896438 377626868 383803641 1000000000000000000 580915772 48060710 27051897 340104500 1000000000000000000 327569199 137744749 116853205 229593056 1000000000000000000 615912077 295738519 195864289 543334747 1000000000000000000 361368968 248074341 55713784 344844672 1000000000000000000 328948231 213334449 151423691 214004353 1000000000000000000 977439643 60424162 444033166 426658953 1000000000000000000 72646271 748982 33052470 22930551 1000000000000000000 536717030 337000080 392862566 289191234 1000000000000000000 197984440 194421383 60508885 44257774 1000000000000000000 344553331 193173316 232918943 11050982 1000000000000000000 466589601 158659661 226147515 150438009 1000000000000000000 378585907 126078578 324794181 123574876 1000000000000000000 955464921 877509228 855684633 610989457 1000000000000000000 95457102 2253063 92184167 42172246 1000000000000000000 86471869 52987491 73237463 34492931 1000000000000000000 42218186 10729254 7514765 10027201 1000000000000000000 902516920 193541816 673543205 758374855 1000000000000000000 247302301 46420775 5326173 86454572 1000000000000000000 143031829 22650356 101741043 1495875 1000000000000000000 615824428 340862706 433529694 102297946 1000000000000000000 552550280 518622501 63619610 23958421 1000000000000000000 188256178 65854501 174450655 184199729 1000000000000000000 69778721 47687321 65893051 6382055 1000000000000000000 917587957 512523366 285784461 476903685 1000000000000000000 747942003 166752017 449547132 88335216 1000000000000000000 775916317 32410977 251015154 490879750 1000000000000000000 476280752 424553827 447744770 139778488 1000000000000000000 925523234 725574653 419552401 169936887 1000000000000000000 67971535 18360530 32605814 13373621 1000000000000000000 495589008 293846852 422526262 76370815 1000000000000000000 292625137 207200035 19254986 30607673 1000000000000000000 385416430 104446095 328706451 178674568 1000000000000000000 683339453 321334234 526596240 414223961 1000000000000000000 789797260 749641322 24710628 344766756 1000000000000000000 14264072 13157661 1844872 1686197 1000000000000000000 962431650 59252126 212038743 380009900 1000000000000000000 202722228 117494663 1300112 24091135 1000000000000000000 238260696 11990683 223578308 7972063 1000000000000000000 178386528 7974753 83490625 150710015 1000000000000000000 717965693 93901773 523346449 171426191 1000000000000000000 707893327 30660340 579894120 396760481 1000000000000000000 953072056 815654935 681814027 926516451 1000000000000000000 925597226 105691810 280936573 664208589 1000000000000000000 930973114 780917355 107906345 552305295 1000000000000000000 791077126 644756921 141477347 62606725 1000000000000000000 38395671 26320854 13153571 31668082 1000000000000000000 71942612 62856703 53896492 9741639 1000000000000000000 70620004 54250649 6333498 6807221 1000000000000000000 751346305 346090741 32199480 371731060 1000000000000000000 446933748 303434247 268980903 44706497 1000000000000000000 422763719 46144032 415379042 301149971 1000000000000000000 992360594 970821939 26737633 17638989 1000000000000000000 914299520 226679998 716854380 203905767 1000000000000000000 835508864 368634900 470977237 826485179 1000000000000000000 114408162 25271117 80951667 93020518 1000000000000000000 415519450 177233949 90298771 348153159 1000000000000000000 761240899 233092732 618314395 713081924 1000000000000000000 407983555 139078674 138244645 212465226 1000000000000000000 848227350 99970077 559671744 3607989 1000000000000000000 664859433 38275733 185938503 86818149 1000000000000000000 210938670 20786424 187626417 142203276 1000000000000000000 406052404 401021857 173673899 23048064 1000000000000000000 369252267 323116017 326984163 10599281 1000000000000000000 537994196 383621685 218869610 426860788 1000000000000000000 60651290 43781356 26118958 19596552 1000000000000000000 154799705 17785445 24489089 53861963 1000000000000000000 694235525 293287575 463074478 675384766 1000000000000000000 380510089 129595699 115856279 213363232 1000000000000000000 134195060 39397629 118467272 21880152 1000000000000000000 28158101 1260894 11886363 19731505 1000000000000000000 123979589 30072114 88287034 3814838 1000000000000000000 332377560 301335743 213526094 196508440 1000000000000000000 313638066 283037123 14198619 87435131 1000000000000000000 780134188 745822528 119729608 10572999 1000000000000000000 699867229 371745711 380492206 188008577 1000000000000000000 974474581 258480627 680628331 538022798 1000000000000000000 804266461 289697400 353741530 473186326 1000000000000000000 671707621 625754614 590151288 228745597 1000000000000000000 454874884 82609994 167243594 121889151 1000000000000000000 127916791 32664938 88513003 58279132 1000000000000000000 696422484 32942856 99386548 153504254 1000000000000000000 468267195 353595280 319576184 107889686 1000000000000000000 527983046 490347389 287487977 422330336 1000000000000000000 894658581 429277021 365321547 893964129 1000000000000000000 807761801 537668846 111705590 147334603 1000000000000000000 840503160 795520372 710233485 206863835 1000000000000000000 48861395 5944920 1052866 32464392 1000000000000000000 225718089 49904896 168526691 199298280 1000000000000000000 2251793 682758 1124635 143480 1000000000000000000 66071390 56305001 11578096 980481 1000000000000000000 265650156 217089692 3977609 59981739 1000000000000000000 118008370 46768567 110823509 79466788 1000000000000000000 74359716 51829093 67803230 59782935 1000000000000000000 866499968 819346362 839489437 655125589 1000000000000000000 386739825 367828304 10315756 292100491 1000000000000000000 389343477 332263242 340589605 316058962 1000000000000000000 866408861 531633690 248575236 179281336 1000000000000000000 124829517 67349057 55390401 91896227 1000000000000000000 301026688 283386687 91848321 210256195 1000000000000000000 70151992 56828981 62754432 56409947 1000000000000000000 472040728 264555228 320495748 141136864 1000000000000000000 619993814 449947471 232508523 458252836 1000000000000000000 944850263 90567028 160642916 152316486 1000000000000000000 277593463 96074333 254955901 146189015 1000000000000000000 298028019 23487064 187449926 238957305 1000000000000000000 88949795 49707353 57121159 10990640 1000000000000000000 586902138 302765346 262246460 178104147 1000000000000000000 771153419 214939698 664752439 125134324 1000000000000000000 362763997 107727790 36597312 324803376 1000000000000000000 699691146 284538762 600836719 604862523 1000000000000000000 332127191 201941764 89005616 89987966 1000000000000000000 965365776 738944173 164974615 802480633 1000000000000000000 712597725 671446464 299378487 560511349 1000000000000000000 108326319 100041220 13075982 90593739 1000000000000000000 994859237 978922938 670891684 928056189 1000000000000000000 19859130 9970184 15961264 1411042 1000000000000000000 790075104 686420235 356229099 165265719 1000000000000000000 547975599 379444212 467934710 149280942 1000000000000000000 206027827 98205414 148738838 90028544 1000000000000000000 871339665 123663428 39251647 718728718 1000000000000000000 19201782 18418820 3161154 2359845 1000000000000000000 984220505 4119570 37223286 658132883 1000000000000000000 464455276 7117362 403794899 101551299 1000000000000000000 878258194 449044755 77044220 524168213 1000000000000000000 895372213 788976228 853513092 133247550 1000000000000000000 272849361 26993722 233553964 152178730 1000000000000000000 320503537 299087382 121075403 66464176 1000000000000000000 801557116 197126878 184817235 679029188 1000000000000000000 374939818 84765094 248044860 52405999 1000000000000000000 382453171 135990654 315325141 252033116 1000000000000000000 458366307 35676146 445876338 160854829 1000000000000000000 89533421 18693196 40423942 63012221 1000000000000000000 971828630 303810718 378084830 810760150 1000000000000000000 908559640 855746409 873891356 111180932 1000000000000000000 159598645 11393361 101691958 104296588 1000000000000000000 4843006 540791 2065853 4379640 1000000000000000000 597397669 460942507 451096956 367794066 1000000000000000000 517125892 386247429 145343190 301464832 1000000000000000000 287929315 21469453 41013610 20717533 1000000000000000000 387538595 196648745 326572691 54618126 1000000000000000000 322688242 123202135 45513678 75876529 1000000000000000000 314948903 217594035 290270735 306861225 1000000000000000000 916507704 534218316 100875354 593854856 1000000000000000000 914730642 224672302 877088682 716952161 1000000000000000000 689610666 400758090 497712508 346617191 1000000000000000000 762942742 609479964 705629709 739592349 1000000000000000000 694320260 256704362 148826404 587776414 1000000000000000000 849339534 772297503 784788207 647830307 1000000000000000000 916058413 273963585 159738451 667796171 1000000000000000000 659887138 205578116 318709812 483410805 1000000000000000000 57416846 42807169 9781878 8781821 1000000000000000000 168670672 66560461 76075808 44007424 1000000000000000000 807959382 192670121 742521742 193106091 1000000000000000000 74226225 68818056 9324528 30766322 1000000000000000000 233880981 110882482 209930674 114850096 1000000000000000000 373624786 186955677 326574926 362733767 1000000000000000000 212943566 156341208 200455226 5139791 1000000000000000000 713504390 482285976 598216503 524647247 1000000000000000000 975331882 182124043 341215237 935675216 1000000000000000000 403791981 323236970 284155720 141241598 1000000000000000000 860294409 67187591 563842616 587554739 1000000000000000000 276257203 273738013 51868665 177899755 1000000000000000000 196201148 61495370 117113482 139834600 1000000000000000000 803789475 530857959 555707438 353057953 1000000000000000000 479184781 446461110 430275998 230488629 1000000000000000000 250034167 167077582 51987498 57047727 1000000000000000000 334659198 113337866 306163963 262250935 1000000000000000000 542518049 395200763 105743300 299120072 1000000000000000000 584787181 280999996 516713 258321181 1000000000000000000 197713922 91212586 148656507 60022072 1000000000000000000 33083790 15577843 25535447 25179571 1000000000000000000 772772791 277966687 609204789 522032987 1000000000000000000 596608264 250395197 263635736 383388534 1000000000000000000 901718691 596470131 760441504 350005014 1000000000000000000 100590017 19482007 4687178 90055526 1000000000000000000 417692378 322056740 359840848 122437545 1000000000000000000 879101956 405164534 212202097 435820673 1000000000000000000 953621547 865873932 385187803 845684731 1000000000000000000 625429909 625408169 102598242 488940451 1000000000000000000 695860628 428776346 293847378 100284429 1000000000000000000 456621171 261109701 386677825 422046064 1000000000000000000 604290943 315803843 180582592 198941844 1000000000000000000 582025615 537238890 449925228 192470219 1000000000000000000 29634982 21261177 2555294 7739787 1000000000000000000 338900037 283682482 79650303 281262004 1000000000000000000 439970604 268542505 156630072 50619372 1000000000000000000 549219920 484857775 45971630 136656175 1000000000000000000 216393409 117040792 11485266 201042588 1000000000000000000 164540350 150382034 37243636 36306902 1000000000000000000 854256924 767647009 175270057 513755172 1000000000000000000 297977513 67820898 124366837 240158201 1000000000000000000 652792702 394715951 548706236 413793264 1000000000000000000 223130325 57357950 163820630 131123220 1000000000000000000 250239737 37571744 238439429 46142731 1000000000000000000 269236780 108358961 2164508 176938745 1000000000000000000 632946620 434583746 16525671 547502651 1000000000000000000 127285127 4139850 16550974 109104937 1000000000000000000 442656627 233667007 191390199 243138459 1000000000000000000 827985725 501199080 363341214 190049794 1000000000000000000 357501124 109254496 284330688 284128600 1000000000000000000 696827238 326988297 462047128 462510912 1000000000000000000 71801167 7316400 28678140 14623080 1000000000000000000 431061924 280758159 167240436 161692919 1000000000000000000 856086387 825514432 779387517 265974776 1000000000000000000 79643200 34094196 72874785 8604680 1000000000000000000 308969284 185884121 161888165 304555571 1000000000000000000 515534870 512466407 244091148 401580669 1000000000000000000 635110014 156558927 559383815 135132573 1000000000000000000 623220446 383389980 329233603 570743089 1000000000000000000 151919437 55920552 132346312 55250878 1000000000000000000 518699163 59846373 330345042 27491597 1000000000000000000 113632186 21841787 28708437 106300664 1000000000000000000 156780327 52296862 128076220 110309897 1000000000000000000 396660798 391270776 381941381 151451752 1000000000000000000 819323427 589088202 369004293 25772969 1000000000000000000 618089563 401741619 294088080 609308183 1000000000000000000 951892754 473847435 760087531 757365029 1000000000000000000 724418747 22172607 592266446 258657240 1000000000000000000 300425320 199672821 152509199 40914635 1000000000000000000 263642458 102108746 13303708 178049626 1000000000000000000 636474647 225897521 579179818 526978697 1000000000000000000 951663633 893844917 781955631 659894851 1000000000000000000 787222650 275704054 226484907 356011611 1000000000000000000 84959354 9188483 73163303 25350900 1000000000000000000 779842629 754909406 243998047 365142532 1000000000000000000 553090550 461406608 281641485 182180098 1000000000000000000 55216234 44752534 48549827 2589042 1000000000000000000 346889981 221067049 219173016 77066252 1000000000000000000 571299110 468746492 53783897 433062627 1000000000000000000 570431201 7998881 233413534 564893569 1000000000000000000 68939898 54768454 48965831 20532818 1000000000000000000 903902420 147387913 538685976 839362769 1000000000000000000 806854204 764734166 454084500 617620785 1000000000000000000 81756701 63302324 49953857 60961666 1000000000000000000 500122283 324375441 361162552 337925616 1000000000000000000 822438626 278540389 164668758 712389260 1000000000000000000 482969807 132793112 256259554 278957503 1000000000000000000 522730235 453071512 393066221 474438776 1000000000000000000 886581192 589730484 267226192 467621626 1000000000000000000 54579340 23891675 26514754 14945766 1000000000000000000 860460563 91238936 262175350 127135523 1000000000000000000 92036150 32073079 31083649 6844007 1000000000000000000 287349196 111315294 176935590 177788430 1000000000000000000 31035136 5708356 26922064 1056206 1000000000000000000 489430033 231805880 212592915 27863443 1000000000000000000 114727610 21299884 11838149 63263524 1000000000000000000 99447902 45453104 14739449 87483905 1000000000000000000 234726374 606822 156522019 179314135 1000000000000000000 236954641 206256276 131972936 156339632 1000000000000000000 178637267 47547957 169793997 144429245 1000000000000000000 34093921 20946209 25622109 25978765 1000000000000000000 170227811 22280751 144027429 159576524 1000000000000000000 232903181 83191922 108362049 58516824 1000000000000000000 978340838 425261172 876384555 42691447 1000000000000000000 554402823 501837328 228577324 255806919 1000000000000000000 925608180 134895384 822772757 427931812 1000000000000000000 256614385 183132757 171628408 199603941 1000000000000000000 685206717 364181679 203832450 221263076 1000000000000000000 144854604 37534112 123006053 23941199 1000000000000000000 649348570 535725360 386594465 42967914 1000000000000000000 953141437 440732413 632955220 492022127 1000000000000000000 141798600 98141122 52678549 16507708 1000000000000000000 356550573 157664712 134052578 279473034 1000000000000000000 664257397 355484913 69431628 162729886 1000000000000000000 875368459 741032759 205515161 498142572 1000000000000000000 882213471 758900339 355382748 479750634 1000000000000000000 793380473 757169091 402269424 265262596 1000000000000000000 776352712 307443865 268358404 321371498 1000000000000000000 578462765 124066921 575418878 191939346 1000000000000000000 150057776 116410320 10314848 92007885 1000000000000000000 267489660 115550119 8846622 36200646 1000000000000000000 449235290 346576919 405131906 142876022 1000000000000000000 504726837 366619031 360549149 494202566 1000000000000000000 301927339 9545723 45446299 223272116 1000000000000000000 792867808 756157495 127159874 134066433 1000000000000000000 991014497 910728764 374272484 624058279 1000000000000000000 208326000 174468889 133169752 105679694 1000000000000000000 525364247 318090504 82520166 200329942 1000000000000000000 481091241 305358981 270460560 426976021 1000000000000000000 722890399 105882052 587016759 675888378 1000000000000000000 251070352 146557203 214469649 202126444 1000000000000000000 688547793 387393945 382954159 492458310 1000000000000000000 801417637 636846368 298811650 680575534 1000000000000000000 107192277 31260678 22049402 73974654 1000000000000000000 957286514 176522410 366786279 535115104 1000000000000000000 732113225 122065489 116523887 75992591 1000000000000000000 659571780 298040520 348164923 440762930 1000000000000000000 757054053 512426244 53531057 420283400 1000000000000000000 518022839 508859632 207400079 325795452 1000000000000000000 951676966 68641825 172398485 441578897 1000000000000000000 185543335 9126402 127888073 97817276 1000000000000000000 925827605 137988718 875701574 688929275 1000000000000000000 973670555 466254173 160809236 797245546 1000000000000000000 5538841 4629298 2103514 4687856 1000000000000000000 586417978 250409323 49488569 446430869 1000000000000000000 657066167 358408996 530541699 411181373 1000000000000000000 570969865 405379150 540377848 336684410 1000000000000000000 13988121 6085683 954113 485961 1000000000000000000 785301053 65432998 18457404 362216825 1000000000000000000 433571755 113353490 308200635 62622406 1000000000000000000 194447313 161982679 65895677 93631616 1000000000000000000 188838617 39259636 59982304 89948961 1000000000000000000 253114779 193673189 41429064 230695439 1000000000000000000 407162815 393640755 171771053 368266883 1000000000000000000 808252318 391006460 511346602 371108114 1000000000000000000 632715432 134016580 89123006 387722720 1000000000000000000 471894277 158442429 66722087 209565970 1000000000000000000 856112087 353558266 375738564 117301210 1000000000000000000 283314392 166042906 9079018 130970393 1000000000000000000 392929601 220705130 104408594 14863435 1000000000000000000 157318269 89477469 80045674 124420385 1000000000000000000 477074381 124079191 270307498 239320103 1000000000000000000 223224786 177461856 105332651 29184565 1000000000000000000 273336967 268384030 40460920 171060722 1000000000000000000 232084048 202244544 12479708 171435959 1000000000000000000 453421550 207931568 127158352 298321123 1000000000000000000 290536912 122009804 281944713 66700173 1000000000000000000 197454268 109890982 30399478 93770463 1000000000000000000 650041738 210069089 645767621 538271306 1000000000000000000 965626116 737199456 448508395 629852000 1000000000000000000 627563171 607645630 561269380 137780188 1000000000000000000 753001612 182358515 488513779 400002982 1000000000000000000 115793787 35881894 91419700 104483775 1000000000000000000 146134532 69376110 135907587 102398013 1000000000000000000 248179690 135560523 140386204 214814709 1000000000000000000 319770373 53542799 76493286 297074628 1000000000000000000 178515228 165363229 117765698 53992994 1000000000000000000 868730371 777539582 544311734 777171478 1000000000000000000 998963964 434118661 315266715 107363873 1000000000000000000 941031229 774742850 741197748 470551760 1000000000000000000 973418874 456952502 637390230 106980779 1000000000000000000 351254965 23469236 139111983 118268998 1000000000000000000 196373119 116665925 163750634 4296298 1000000000000000000 455479458 131670020 442479608 432733119 1000000000000000000 434915260 398606428 259139834 7957999 1000000000000000000 964231094 508802404 786929028 411125980 1000000000000000000 449943168 426194648 137318226 302504656 1000000000000000000 672578 211372 268096 121241 1000000000000000000 690008382 606466829 594703785 254900967 1000000000000000000 218531914 123953055 178698252 85403140 1000000000000000000 941529438 712288826 386824437 693360781 1000000000000000000 387743970 300276343 210926502 157433496 1000000000000000000 26174896 18998071 18589544 3271319 1000000000000000000 729391387 691888811 222103263 677100799 1000000000000000000 83813953 18096511 71693538 22649328 1000000000000000000 380423738 256252583 344335839 12680742 1000000000000000000 772967322 226047146 250281539 678494625 1000000000000000000 693922859 134758559 122327102 132268417 1000000000000000000 329689927 11147496 239826150 147993219 1000000000000000000 225243415 3901441 123554171 161901551 1000000000000000000 557203371 53842656 104468649 72023367 1000000000000000000 824063000 399264561 559326921 777866408 1000000000000000000 841699106 120085376 696947805 229234863 1000000000000000000 77553179 63839800 3822925 58957396 1000000000000000000 829072328 254670130 61159005 791365074 1000000000000000000 569411718 102793453 324829815 349836250 1000000000000000000 191298745 101808777 111152711 96726942 1000000000000000000 233409292 211504956 133411080 95287581 1000000000000000000 6467851 3330920 4032350 6218956 1000000000000000000 333403050 217543355 44607492 177373575 1000000000000000000 568639759 258959199 35075791 309727795 1000000000000000000 249622650 39178695 206312572 156466678 1000000000000000000 71585038 43636162 46362725 6570431 1000000000000000000 84273368 14124016 53366538 20653885 1000000000000000000 506140411 487956091 166154960 325199886 1000000000000000000 254691464 7653865 4544042 175340846 1000000000000000000 162263088 64581359 117846960 159483707 1000000000000000000 615768282 116871035 442845770 209732652 1000000000000000000 646229398 1971916 515311755 3302827 1000000000000000000 764583161 630633532 298461186 128878480 1000000000000000000 682908677 624264840 657776237 298029291 1000000000000000000 146370484 73899503 97075397 27691129 1000000000000000000 493473609 37521075 416225703 312539182 1000000000000000000 357482876 12821597 74698661 355623469 1000000000000000000 65505294 42182211 40288991 64611397 1000000000000000000 770641627 300948666 504736647 17897465 1000000000000000000 152053555 57861147 100725073 119994842 1000000000000000000 603868819 199881645 143171510 136997250 1000000000000000000 588108884 586081376 580221603 365542187 1000000000000000000 521546316 10270586 10667933 510334632 1000000000000000000 82871705 13809809 73708687 17535406 1000000000000000000 341222153 173821298 243276646 51282287 1000000000000000000 682886375 255998442 275755841 565537456 1000000000000000000 842756499 205663368 647676376 389775671 1000000000000000000 283894756 280992066 267197088 238042977 1000000000000000000 677198232 420296850 33471215 378190157 1000000000000000000 123473335 12014844 44479353 15913074 1000000000000000000 214725593 28030464 38182033 51233098 1000000000000000000 505207561 228405614 50869072 1219292 1000000000000000000 1267431 1002011 1163636 864645 1000000000000000000 407750527 45525200 134875216 29439589 1000000000000000000 53138774 17167962 38096302 13130131 1000000000000000000 729303284 253531667 354579171 272129722 1000000000000000000 453423537 244755832 340282572 90636295 1000000000000000000 521753642 222717469 470648789 368260731 1000000000000000000 839915502 782536490 736032176 591935314 1000000000000000000 516412740 391336277 184332914 229329039 1000000000000000000 492886341 246067965 346677374 350919832 1000000000000000000 486167152 339062434 195018402 417705388 1000000000000000000 88067319 52248704 72278926 39239536 1000000000000000000 841018804 75825244 85917472 750861027 1000000000000000000 35789874 20764761 28283508 1211704 1000000000000000000 966477890 456045488 44738106 512915675 1000000000000000000 769304045 112391363 505719002 400580580 1000000000000000000 253167746 143368929 227046351 20943445 1000000000000000000 483472764 320899877 113579989 418773705 1000000000000000000 819463132 393604195 49985570 368617650 1000000000000000000 4886807 4022508 1932156 2304204 1000000000000000000 780487945 644024209 254515063 596981404 1000000000000000000 592850079 481512979 554314 67501212 1000000000000000000 617539137 308002684 202161528 124131956 1000000000000000000 90754603 84868043 40491173 61071558 1000000000000000000 957512234 409061475 440599103 308819021 1000000000000000000 624946533 108592408 592292771 488680057 1000000000000000000 84392713 56134452 8308996 54966463 1000000000000000000 672277588 268590034 226477587 465903340 1000000000000000000 174810807 50212947 28560894 72454756 1000000000000000000 440412538 93082044 352451288 276826446 1000000000000000000 101587848 50158620 31674574 97432072 1000000000000000000 685444811 635166294 217821059 20994504 1000000000000000000 589701309 76538427 64347072 294097262 1000000000000000000 11873221 10775415 7899534 4664074 1000000000000000000 925670034 794551890 477295145 95817854 1000000000000000000 192841610 75795358 5228973 166451572 1000000000000000000 703131158 466109428 18648980 488422267 1000000000000000000 574916223 84256530 546453379 234739121 1000000000000000000 904047179 221649456 691338650 279887982 1000000000000000000 547540550 27077134 12538024 423922832 1000000000000000000 615780477 298192800 499486882 442749875 1000000000000000000 311010570 267755791 158052626 33221437 1000000000000000000 178599374 163140801 175584122 135504254 1000000000000000000 959321399 564002491 274046553 920943552 1000000000000000000 527529774 241863054 58816569 415834637 1000000000000000000 405097888 342029371 384734590 120760421 1000000000000000000 985539254 543135767 315567916 170186860 1000000000000000000 872770548 467002629 520118543 747398534 1000000000000000000 811246884 58182784 278308941 401137961 1000000000000000000 733656032 25899005 51175937 511312513 1000000000000000000 146443902 101073359 46035551 34478800 1000000000000000000 775530306 449465808 42568361 540656998 1000000000000000000 5448475 3788831 2581997 147073 1000000000000000000 323056350 301906342 99593677 288200347 1000000000000000000 264686053 120676381 46285574 22096193 1000000000000000000 384788755 29698635 59923687 305428862 1000000000000000000 18362406 10331516 3014012 2830062 1000000000000000000 143426057 89603666 70975122 112954035 1000000000000000000 214758205 189246422 74224752 31609855 1000000000000000000 964704828 391655226 585075737 589297201 1000000000000000000 481060855 45036439 73644640 280656051 1000000000000000000 253609467 134379022 105032134 126732994 1000000000000000000 946256758 615311355 293153020 244736919 1000000000000000000 477584306 455830039 115300956 396305782 1000000000000000000 270796686 29658144 75814681 209135314 1000000000000000000 54618138 44913859 3751123 50023807 1000000000000000000 875726355 142436043 231153168 194211200 1000000000000000000 318956052 171555183 112408841 79793089 1000000000000000000 168331809 18761243 116460837 44466550 1000000000000000000 353094275 200996417 8545875 141093254 1000000000000000000 899806291 79543922 770762104 718231415 1000000000000000000 175417110 61652302 146669948 68325346 1000000000000000000 802268908 377246844 235643063 720439309 1000000000000000000 254217856 201700167 10449112 201645330 1000000000000000000 865216920 50739235 670928378 272562745 1000000000000000000 863066673 712377616 623358411 59187515 1000000000000000000 897047619 680278762 369020947 524419289 1000000000000000000 413363999 194011547 267205602 311732870 1000000000000000000 760067474 475733408 118573785 436078627 1000000000000000000 86968236 35561410 4894886 48158055 1000000000000000000 388749279 296525887 236564256 156867953 1000000000000000000 860889010 96192877 528584542 163887223 1000000000000000000 924117612 276676938 73803104 549803517 1000000000000000000 309040809 179444991 193991607 294040003 1000000000000000000 720973305 453302571 333806600 395477724 1000000000000000000 686622027 429326468 407611023 386158077 1000000000000000000 40884126 34768145 33204861 34175335 1000000000000000000 462010476 161238552 451517349 312781949 1000000000000000000 176492596 143472172 156880771 70542233 1000000000000000000 361189082 175807064 231871289 49899503 1000000000000000000 272294200 128758524 213418039 3218617 1000000000000000000 121556695 119675120 65298737 32883924 1000000000000000000 658896360 230414174 262364584 647702482 1000000000000000000 393581279 18622053 36404277 350436441 1000000000000000000 619654124 35901987 210198367 279617818 1000000000000000000 755558462 654660896 23995871 531817614 1000000000000000000 150273575 60832605 132831552 74303517 1000000000000000000 790345832 736461549 350889217 246951756 1000000000000000000 386810287 368828027 356645517 364031955 1000000000000000000 358269405 231210009 43600849 112065551 1000000000000000000 691082349 51415161 168924470 433376288 1000000000000000000 975248697 71996693 199702103 280063979 1000000000000000000 545359464 419516298 490720323 420557256 1000000000000000000 86214243 7935287 53604113 32184338 1000000000000000000 263076094 136181240 232552496 32279300 1000000000000000000 967772449 365618059 932920172 762994467 1000000000000000000 855689747 242792184 628404900 374890812 1000000000000000000 796526288 318953154 596757415 215945050 1000000000000000000 990972913 424923099 309837738 771980180 1000000000000000000 412825030 350722904 199404666 90957776 1000000000000000000 258303885 86222772 236749134 135992698 1000000000000000000 168446187 52015933 158343343 33456700 1000000000000000000 995114123 72696726 978978242 531682796 1000000000000000000 72726436 45167358 71179626 4279129 1000000000000000000 145200763 81949124 22010278 28325885 1000000000000000000 19048985 3536348 18373732 15012555 1000000000000000000 680509434 125100311 184287307 27051589 1000000000000000000 529077316 309457292 135124169 484814571 1000000000000000000 40210878 31084217 17758157 8187911 1000000000000000000 602001100 223027329 473547813 461580354 1000000000000000000 807048129 550302651 742627372 154840831 1000000000000000000 435250117 204237526 43935613 16662097 1000000000000000000 91438847 77698619 17167474 30312529 1000000000000000000 172744092 118437799 34335526 50152325 1000000000000000000 463506040 74167394 24677929 22855512 1000000000000000000 158631334 128473231 87160378 37966722 1000000000000000000 1958763 1680055 1806134 1661392 1000000000000000000 654575799 463951712 116570980 138187844 1000000000000000000 629248539 237482270 334825236 226024746 1000000000000000000 543027420 197175955 508319412 287834518 1000000000000000000 637349012 279648587 332305700 68582207 1000000000000000000 634862034 469495904 137792452 538301835 1000000000000000000 196117714 22822220 159176584 117468871 1000000000000000000 616575538 90812817 183530594 540390684 1000000000000000000 876531983 276223707 447636169 695196086 1000000000000000000 327721406 73748156 160106189 315023803 1000000000000000000 89802309 15871619 57517459 87065223 1000000000000000000 676767665 66091966 392058200 353320512 1000000000000000000 336946547 120209068 256620030 100334657 1000000000000000000 903790949 395621919 346262418 481058905 1000000000000000000 747968484 629044120 679009253 349542518 1000000000000000000 217556172 35656684 97138055 188789245 1000000000000000000 299282471 229744103 163564847 139575044 1000000000000000000 326072493 190558419 214776002 131740269 1000000000000000000 426479539 158442237 299729425 366855291 1000000000000000000 730504768 57310882 632518287 611734093 1000000000000000000 374668729 202590264 10770926 147780139 1000000000000000000 913232884 192556138 800753679 831015957 1000000000000000000 200243371 49656018 17641305 187785822 1000000000000000000 534250131 188828364 201381643 337002286 1000000000000000000 152058944 97114423 22444874 78053303 1000000000000000000 231661109 158460995 190084525 49983258 1000000000000000000 643280566 411288777 171518688 208187632 1000000000000000000 100011729 83368931 44085298 54698 1000000000000000000 804890173 704412890 373614663 590804821 1000000000000000000 71537660 62691783 41814285 2583029 1000000000000000000 821175686 800187080 738419144 621827779 1000000000000000000 960098695 413154630 9862923 893159148 1000000000000000000 951877993 74833959 36347690 521916574 1000000000000000000 110966506 81391618 66623143 57917693 1000000000000000000 101420776 70792987 41611196 97734063 1000000000000000000 586234045 181437521 94412789 533628657 1000000000000000000 872930222 556145491 849647599 108844666 1000000000000000000 13026321 11796687 7057266 12616964 1000000000000000000 966730663 537984151 945625514 960971155 1000000000000000000 62813368 50663329 51956817 62052880 1000000000000000000 758973478 714060672 414907200 80170752 1000000000000000000 535374466 175897860 506230143 140889180 1000000000000000000 803613541 730118016 364488711 708607049 1000000000000000000 231570857 204280226 108157834 72964183 1000000000000000000 566420707 168100730 159239876 293364940 1000000000000000000 112900505 25953681 55470590 58936686 1000000000000000000 191255983 132681910 150639430 19610192 1000000000000000000 669832090 333073092 284649173 282134575 1000000000000000000 982221389 425752796 259526046 413662601 1000000000000000000 70687923 54830446 27647240 56118086 1000000000000000000 189236732 75574514 88157300 175942694 1000000000000000000 23374027 5634183 13391858 21998472 1000000000000000000 800082759 517824519 238391698 435141191 1000000000000000000 47760954 44743550 23494445 37412108 1000000000000000000 828885611 589061900 503910944 44319916 1000000000000000000 712479350 548327773 252327855 341941530 1000000000000000000 668694782 281782536 539460148 227627521 1000000000000000000 46257604 45706025 1446621 3103098 1000000000000000000 153910220 1717608 119888139 107366927 1000000000000000000 836936994 176252611 270889371 155342868 1000000000000000000 56178170 15262151 22908215 8216146 1000000000000000000 893763102 453829976 437561732 277231233 1000000000000000000 939504232 240443134 452983151 43738279 1000000000000000000 562751073 329032496 222273217 519696780 1000000000000000000 992354203 661629490 292247037 914708427 1000000000000000000 899132687 143913569 522909879 578173174 1000000000000000000 796776405 494757733 517540473 462760824 1000000000000000000 811219343 269877029 583547453 429670417 1000000000000000000 742467022 309365093 452027444 194015674 1000000000000000000 910643411 681319619 212318562 884299017 1000000000000000000 722919633 398371478 125732548 650670757 1000000000000000000 690917151 537530354 185769456 51343834 1000000000000000000 467895783 371016256 466848025 450541590 1000000000000000000 190272761 52757534 121673426 105247751 1000000000000000000 372865610 228202392 26176434 6546828 1000000000000000000 49001696 38100603 38691213 10459429 1000000000000000000 268738956 103839359 26678066 7077247 1000000000000000000 692008310 426531899 318115018 152447400 1000000000000000000 241319314 47071570 2242592 5236777 1000000000000000000 87142572 43833639 27666627 47110240 1000000000000000000 137785982 85791812 100442087 29869995 1000000000000000000 443600104 263416430 224104642 243210721 1000000000000000000 908393379 858051529 803006818 522330259 1000000000000000000 64069760 16333822 27074171 46909976 1000000000000000000 964443531 41350529 790350104 579040076 1000000000000000000 12325278 2914649 4238317 798055 1000000000000000000 267820770 248105576 256658355 173182289 1000000000000000000 244319107 70568818 176328012 74995290 1000000000000000000 248308433 77041729 233650805 157695208 1000000000000000000 118573026 104029563 43508653 58458795 1000000000000000000 538878793 272879420 174146177 111314723 1000000000000000000 392285634 210080198 137356022 265735860 1000000000000000000 281255336 214510767 143988447 85463250 1000000000000000000 265490703 214593655 150880120 101785080 1000000000000000000 21565849 13560007 12731194 17441878 1000000000000000000 494850219 465893778 91462134 291516356 1000000000000000000 523136931 380163410 143347036 293701297 1000000000000000000 709696217 55222464 115324103 151720969 1000000000000000000 232851483 114261501 181292295 128762832 1000000000000000000 514347352 139701238 312101523 134408212 1000000000000000000 469572404 144794981 361883491 80839341 1000000000000000000 990839172 482954446 357784295 462845882 1000000000000000000 760060331 54297047 253706445 13487296 1000000000000000000 824549287 162379519 822916967 147205892 1000000000000000000 772170162 11367991 729504149 330563246 1000000000000000000 163668723 74500543 91448542 90582149 1000000000000000000 117332192 17784298 65448247 23371635 1000000000000000000 520695550 369369760 251204065 342152240 1000000000000000000 455852160 14134885 180556384 120226879 1000000000000000000 489774174 280799964 214574817 91307515 1000000000000000000 746905501 464465596 531292810 702711140 1000000000000000000 368161230 123441579 288237001 333775305 1000000000000000000 586105830 410369081 572031113 160549970 1000000000000000000 829286954 713914907 64442318 599755973 1000000000000000000 370473257 238945026 130681787 266047862 1000000000000000000 23337269 6342120 8679121 12652897 1000000000000000000 152683059 85652661 147738285 73713491 1000000000000000000 173714532 142076404 170967136 23661042 1000000000000000000 566055540 385116629 92754796 105744472 1000000000000000000 816703698 531525848 787694385 671155311 1000000000000000000 266257194 124333502 213248767 238055423 1000000000000000000 867904293 276868182 84891680 158649693 1000000000000000000 204185880 53751151 184809681 126536105 1000000000000000000 849312478 840677595 670421558 413089767 1000000000000000000 468103740 319544660 397496243 213299917 1000000000000000000 109265635 36313470 23684724 92046501 1000000000000000000 256780546 209876742 134445950 120851016 1000000000000000000 872530092 538080743 438503585 532263383 1000000000000000000 336816980 86557811 15304523 275921767 1000000000000000000 817581195 793846109 430053055 149098477 1000000000000000000 371027704 8083663 108010491 235956215 1000000000000000000 748336192 116541020 120023921 160834386 1000000000000000000 271119375 163856970 65020428 97074612 1000000000000000000 567802217 537833218 113811196 289013903 1000000000000000000 376595247 60717824 220071826 106024482 1000000000000000000 337390960 320635579 279013864 266306345 1000000000000000000 366264194 175546143 172399923 277260052 1000000000000000000 209428495 167132549 56182102 96759154 1000000000000000000 983845993 52489217 73132364 717541879 1000000000000000000 231624953 53515779 42379708 79571766 1000000000000000000 390085081 115528600 55337849 291406465 1000000000000000000 332052997 319113204 278276343 216127801 1000000000000000000 610319525 432974162 92540720 546584663 1000000000000000000 361613303 212086277 241745905 253009109 1000000000000000000 505642544 57020574 102286496 167169485 1000000000000000000 751953983 483793604 335209495 52433967 1000000000000000000 582337955 571341846 489867743 219802602 1000000000000000000 995507386 465251644 471902652 889836122 1000000000000000000 475761922 189408461 414307034 395604376 1000000000000000000 469191275 171030970 340300921 205065066 1000000000000000000 437057484 111546540 130850628 181582629 1000000000000000000 124537593 105058202 76251410 28210935 1000000000000000000 247002496 81083993 67400504 11970287 1000000000000000000 487752314 53509703 325454742 438765644 1000000000000000000 406397929 349596135 374981565 330964050 1000000000000000000 495545263 375694953 177514936 472879024 1000000000000000000 78587170 69027843 49383875 54786173 1000000000000000000 723957824 243112841 223619559 118393861 1000000000000000000 240108971 111175375 6954644 134620450 1000000000000000000 280451396 232732215 213998777 23732355 1000000000000000000 337235865 240308926 181336172 313532703 1000000000000000000 335783638 281485535 155632400 195058442 1000000000000000000 442612582 348210823 8013517 243116241 1000000000000000000 224784079 219045323 164508919 171358429 1000000000000000000 468091693 392716929 189664363 326856512 1000000000000000000 320311338 216147423 113443096 75358886 1000000000000000000 879983034 60804499 726699122 493117957 1000000000000000000 91028395 40260337 47405236 77867199 1000000000000000000 824796798 165464357 231440400 88239690 1000000000000000000 512768927 190795664 499265647 331396537 1000000000000000000 819394576 357510877 266160508 168923306 1000000000000000000 470184326 265147041 100084515 366456820 1000000000000000000 427840667 390719344 91953004 416512111 1000000000000000000 347862945 24299085 42990882 172260873 1000000000000000000 367162188 175050822 162855961 53804864 1000000000000000000 276341048 117112440 64640981 89569840 1000000000000000000 142469827 7007652 119282599 49533104 1000000000000000000 289847053 245735545 223476793 100239534 1000000000000000000 942561358 900677804 476299893 633606571 1000000000000000000 390937754 20628690 284916742 291517342 1000000000000000000 81539336 17973349 4095669 15364019 1000000000000000000 203049260 35833091 188069352 2435124 1000000000000000000 430129496 361173743 246946008 219795261 1000000000000000000 785120198 507043022 242129228 44346733 1000000000000000000 883436033 731607403 618284430 224859420 1000000000000000000 121443823 95099545 7818715 6862111 1000000000000000000 861908969 555285094 509029646 185500105 1000000000000000000 172326282 18236124 2889065 147798807 1000000000000000000 855205174 843867928 250470725 762533092 1000000000000000000 271273195 148284281 44923468 88736749 1000000000000000000 203315954 30156725 147611508 50142006 1000000000000000000 223064584 24647930 194170561 156142330 1000000000000000000 74846055 62445868 19782524 37552709 1000000000000000000 76699882 4500960 8159515 70149516 1000000000000000000 159709517 122254504 7208007 30190078 1000000000000000000 839332821 158296184 740295081 756800484 1000000000000000000 882272511 590700661 70651767 813175943 1000000000000000000 812651640 316750170 209791766 620254613 1000000000000000000 363929687 4188250 286960251 186294519 1000000000000000000 967655740 16540840 186339221 691522366 1000000000000000000 257243936 105926091 72904308 139547498 1000000000000000000 26422483 13340245 23738698 18296746 1000000000000000000 664385636 36341076 159213861 104985059 1000000000000000000 284466364 61535764 204802259 60912677 1000000000000000000 32976802 13255996 3991668 13844145 1000000000000000000 602219671 528796017 79128075 533212596 1000000000000000000 450296539 4104240 113472055 209113222 1000000000000000000 349386197 205154527 89956910 284031160 1000000000000000000 59795801 27052153 35337395 54429199 1000000000000000000 684513113 433696898 223529637 529091027 1000000000000000000 208726763 125899494 185334142 51384336 1000000000000000000 424226080 281637511 14724197 259033888 1000000000000000000 215296891 177391012 187160730 207465175 1000000000000000000 148334773 56953030 45741550 11967691 1000000000000000000 348969939 191668648 269233394 335387800 1000000000000000000 874984102 211193118 183552991 403497884 1000000000000000000 566290631 430560978 352808577 190687912 1000000000000000000 903328987 78556182 601498828 483347785 1000000000000000000 174630129 96286442 52872430 144788230 1000000000000000000 179040420 65015673 71970612 28810566 1000000000000000000 14339021 2697774 6978035 7432048 1000000000000000000 408587888 315410390 51946225 60913689 1000000000000000000 723183216 74443055 437458370 700025968 1000000000000000000 558248755 425826520 474585461 253656706 1000000000000000000 723137481 487423267 198624852 365537953 1000000000000000000 792519529 720974321 378476914 463871961 1000000000000000000 816939141 103104228 208218160 231856314 1000000000000000000 501995368 278572918 156079988 203510507 1000000000000000000 70687946 23043574 21810285 47637403 1000000000000000000 914876682 595298622 408805135 188251966 1000000000000000000 147976803 86212738 66993024 107862529 1000000000000000000 403733296 282455657 120117954 70025318 1000000000000000000 772578369 612417103 353832351 432671348 1000000000000000000 659635828 113575755 154911803 501825732 1000000000000000000 537529575 185655672 519707591 333086 1000000000000000000 836051049 349021897 245576760 282270075 1000000000000000000 62644222 20849236 44956298 23079959 1000000000000000000 680121538 678979821 633259949 523998239 1000000000000000000 967079058 381830750 899717924 899557936 1000000000000000000 140957258 126251285 71298724 118237303 1000000000000000000 261555839 234715886 97057058 123511935 1000000000000000000 551670268 436583682 345651294 911068 1000000000000000000 805770927 300510936 370478375 568702954 1000000000000000000 487325289 124290431 287699575 178896254 1000000000000000000 159214814 139513786 133757191 131253486 1000000000000000000 666192102 553100978 576977127 193483697 1000000000000000000 206227663 128635918 43150380 90457056 1000000000000000000 820746348 462925181 767158728 582808702 1000000000000000000 854729374 471898485 583118177 359026093 1000000000000000000 880633561 46991933 823729811 265598250 1000000000000000000 117580181 99667430 16285421 38259481 1000000000000000000 410084736 125418306 196767673 122219998 1000000000000000000 758038438 195877107 541730997 67394269 1000000000000000000 675440169 331337384 376248225 563558899 1000000000000000000 423362067 21101940 372545217 333568254 1000000000000000000 395590306 326282424 4516959 342567849 1000000000000000000 489681 164693 324667 486616 1000000000000000000 169276070 161926768 19064991 166973336 1000000000000000000 135143615 76405166 62788667 15762410 1000000000000000000 859812613 57587669 667358425 703269876 1000000000000000000 796196207 98492513 431274943 555202923 1000000000000000000 501891801 61592106 109399009 388013731 1000000000000000000 121093877 54004592 59344440 3982958 1000000000000000000 524411737 320878608 332965717 345653942 1000000000000000000 424695307 200929513 125017592 283328303 1000000000000000000 716056087 15714805 537943149 176330306 1000000000000000000 555184963 366862684 266933485 390417013 1000000000000000000 147937985 127175050 43556446 75246041 1000000000000000000 735218292 530284331 648651294 618973121 1000000000000000000 710123115 49341248 281358875 187312088 1000000000000000000 664111422 311381496 59429437 138907546 1000000000000000000 161314359 46161476 108240759 32342591 1000000000000000000 404984641 73025739 196214883 177778931 1000000000000000000 260272308 93375795 146573409 7202104 1000000000000000000 283196461 111743309 200197922 141562175 1000000000000000000 112593284 30391223 32710809 87475763 1000000000000000000 123223245 119588631 64280057 9512254 1000000000000000000 504122856 233899209 186119848 196558878 1000000000000000000 481519067 420366563 54096073 262512285 1000000000000000000 846124080 554719448 490906763 742722292 1000000000000000000 673838930 544205784 11087432 532493485 1000000000000000000 501672133 201422354 191225685 15326698 1000000000000000000 194999289 51393008 240420 101253135 1000000000000000000 254849122 39048325 163457271 22379165 1000000000000000000 135350026 131800076 123382385 127888203 1000000000000000000 636449388 514777258 300686 26666185 1000000000000000000 886028798 790956557 201725340 585355573 1000000000000000000 22482440 7860897 1226597 19660512 1000000000000000000 608058051 558185404 503013891 244763780 1000000000000000000 201664042 53069725 185763956 98332278 1000000000000000000 689076135 84438563 378264176 568775794 1000000000000000000 292606043 126555141 166359344 246830359 1000000000000000000 750144421 432563660 669080186 119103775 1000000000000000000 435829990 271096719 369709429 66868413 1000000000000000000 181266562 114586633 88580287 127634881 1000000000000000000 889762426 96270194 872367108 768396925 1000000000000000000 640101911 614936666 509057793 62326902 1000000000000000000 520615691 374843462 8942757 137995888 1000000000000000000 359048054 256828207 304778381 197069972 1000000000000000000 471712161 337950811 52178491 24642892 1000000000000000000 265678582 34622990 265291344 40653640 1000000000000000000 28170263 7385936 14394802 11645237 1000000000000000000 257456031 253851913 5873363 8313720 1000000000000000000 358982503 199771826 268755702 292212155 1000000000000000000 173731391 92282014 20194935 30311531 1000000000000000000 438346075 402406931 160157531 327689856 1000000000000000000 738513972 234079050 44154045 423787688 1000000000000000000 890397719 520741506 694680809 539751851 1000000000000000000 367527712 237105340 10101785 356728825 1000000000000000000 587661242 155924165 391767304 309087229 1000000000000000000 728986814 51719553 350881065 559923770 1000000000000000000 518969522 68532150 269635052 97649853 1000000000000000000 900316786 378793088 286303756 157963620 1000000000000000000 164585115 160736582 140112349 41360806 1000000000000000000 761694469 520136777 170212968 26140036 1000000000000000000 480916197 456286913 27255833 342413603 1000000000000000000 296086946 208182957 281610765 247026268 1000000000000000000 660249162 141744189 129204789 105908714 1000000000000000000 103147704 55347119 68972073 53812677 1000000000000000000 821729948 360807309 274946397 511534523 1000000000000000000 22083800 15484331 15396382 2120857 1000000000000000000 841795366 282466674 637723259 141206819 1000000000000000000 479711430 462119056 440935696 249066834 1000000000000000000 784502873 40221069 315281611 423837789 1000000000000000000 263350703 173550153 206049296 238604494 1000000000000000000 667773251 380596169 452680108 523013809 1000000000000000000 229547300 178457162 189278263 192804540 1000000000000000000 674646615 18896279 478254056 633374412 1000000000000000000 850751524 612439825 98950858 838776174 1000000000000000000 474106737 463818075 36781595 214315999 1000000000000000000 260773754 217268079 68006758 109444478 1000000000000000000 961575793 486809707 20104749 34609057 1000000000000000000 396721737 142128328 48449977 307740513 1000000000000000000 218797745 86639280 17791349 76672321 1000000000000000000 770502939 29048675 27542349 22237798 1000000000000000000 595588069 538374315 219817464 266599063 1000000000000000000 199711905 41667912 129888921 45945418 1000000000000000000 287284900 47481037 14264947 260062502 1000000000000000000 79506491 50281469 51647982 26551201 1000000000000000000 256543926 17807129 160946290 197893457 1000000000000000000 314527221 87072669 96285155 231956224 1000000000000000000 992553215 814533892 39854529 430423283 1000000000000000000 145362948 30363714 71539033 74595281 1000000000000000000 522775792 78684721 168722061 124380285 1000000000000000000 247373147 72903819 203960580 56298850 1000000000000000000 631651512 31011418 200599434 562244740 1000000000000000000 849119767 592311777 223629756 680925037 1000000000000000000 608878469 420387719 196058306 193555482 1000000000000000000 633747879 340248374 349062854 266266487 1000000000000000000 472471736 381062007 403625075 302418618 1000000000000000000 994207191 171890758 118842256 362648024 1000000000000000000 95927377 25781899 90908772 25347084 1000000000000000000 678010499 604301080 416997026 462021412 1000000000000000000 584886579 417948345 266835341 87336558 1000000000000000000 49343848 39931312 16789238 41735045 1000000000000000000 406199938 301527405 193335934 79718306 1000000000000000000 185056678 98465579 14003651 56009939 1000000000000000000 75507509 42142244 31751442 32437016 1000000000000000000 881037390 759074729 871121251 671480119 1000000000000000000 92157591 78742809 80921298 54780970 1000000000000000000 132603257 40849032 60199589 28400441 1000000000000000000 174228462 22298243 170426114 80946446 1000000000000000000 466222443 56397043 42440233 385551784 1000000000000000000 175938330 100620533 106315672 13670365 1000000000000000000 544860451 136574235 448976250 155791284 1000000000000000000 820161929 279518519 691905378 766826391 1000000000000000000 39807219 5197263 1855427 27003392 1000000000000000000 92874457 25552909 9817362 56441472 1000000000000000000 375700043 53668760 191569117 288111220 1000000000000000000 779341914 338185326 202616598 222051362 1000000000000000000 273751792 21031063 240725157 91037004 1000000000000000000 335979201 48341395 145077843 272045760 1000000000000000000 87354501 19300904 18109338 9291485 1000000000000000000 913755604 500408628 99281337 783937083 1000000000000000000 1905778 1680475 1842178 416846 1000000000000000000 650727523 101237604 257740982 409393138 1000000000000000000 241157441 168002627 134363279 155728466 1000000000000000000 421730205 363557388 311945235 279050291 1000000000000000000 749361480 331910939 219653103 271845611 1000000000000000000 224929758 176781378 47409027 132406996 1000000000000000000 384581013 219290859 231683519 301130500 1000000000000000000 583437496 353287916 51169190 125132578 1000000000000000000 966631524 197215675 678342372 290595396 1000000000000000000 952360921 203581662 714341872 565380130 1000000000000000000 874712123 658126478 851054227 347931396 1000000000000000000 883571595 230319521 580597675 457602992 1000000000000000000 269015280 101995603 99880873 90103609 1000000000000000000 238517837 98083754 205156003 158682700 1000000000000000000 763582025 437033694 172419624 414284524 1000000000000000000 975309353 321955410 48398651 656078797 1000000000000000000 421987376 36306524 40521683 371349098 1000000000000000000 186997977 54810526 105348695 64199519 1000000000000000000 156996996 99724673 27114773 45896634 1000000000000000000 925671980 140099515 489974430 618660854 1000000000000000000 946985124 223984718 548295585 454400386 1000000000000000000 142187545 82310043 5699017 109575898 1000000000000000000 773669956 58263846 733256826 255953823 1000000000000000000 812254039 658082294 148119075 778882623 1000000000000000000 185678101 73904025 32282730 126782629 1000000000000000000 649521531 493260797 301693027 402187884 1000000000000000000 308292733 20263416 118013333 92440953 1000000000000000000 399612994 208906461 164407490 324569617 1000000000000000000 901606754 900565064 862708883 595783241 1000000000000000000 251136857 157924198 49143697 60767585 1000000000000000000 537696867 411990210 169777543 261500107 1000000000000000000 991404282 585287475 481752399 776924958 1000000000000000000 741873856 604677432 68862718 466306706 1000000000000000000 612454915 581740977 14636766 159570640 1000000000000000000 51085867 28165918 49451104 36102171 1000000000000000000 316097313 148561773 285604427 94242148 1000000000000000000 333678951 239721325 88518867 192514368 1000000000000000000 312782732 98925108 94178300 20851535 1000000000000000000 557930915 501681722 474148253 75003934 1000000000000000000 391578330 110797716 129215642 174399738 1000000000000000000 488091300 447761679 408205833 195086538 1000000000000000000 810547816 61435240 439823636 342529941 1000000000000000000 727346062 720932512 98177198 649404381 1000000000000000000 655441089 193564003 588554525 550563309 1000000000000000000 334267797 102534070 243734417 180800378 1000000000000000000 279174326 43000019 157064913 169013276 1000000000000000000 711095576 391613266 212274661 549586912 1000000000000000000 436239478 411391008 241650433 313794707 1000000000000000000 124090468 80340557 99568329 95764980 1000000000000000000 397593474 169226421 388502673 245290230 1000000000000000000 82982686 30756965 17381962 69885658 1000000000000000000 386331259 237766991 349987236 225939716 1000000000000000000 399185815 152710277 392222541 315935291 1000000000000000000 20524640 19416238 16360098 12627949 1000000000000000000 729016927 431763903 659692927 511961679 1000000000000000000 189210642 167203520 144538641 118423295 1000000000000000000 616426335 58760342 349818599 188784699 1000000000000000000 289901951 193982683 30184471 282733072 1000000000000000000 238060106 167971668 95173826 85737711 1000000000000000000 952790810 939773570 196386455 45197553 1000000000000000000 957012029 495433234 800125733 660579668 1000000000000000000 403526776 53453952 218513855 30174542 1000000000000000000 946581554 46300211 378934499 157294801 1000000000000000000 297437416 158238222 175248436 287508045 1000000000000000000 980525986 334287893 6975414 927467159 1000000000000000000 70983976 19015597 67530101 26653696 1000000000000000000 110776854 24701599 40687634 37617546 1000000000000000000 889559077 181122727 614436228 294163019 1000000000000000000 872635366 252532946 286452406 333003645 1000000000000000000 253668918 179674675 39578859 50265723 1000000000000000000 734497854 440875018 442993467 84908493 1000000000000000000 453129424 202049072 35577343 151806446 1000000000000000000 279749401 37600347 160539438 19272325 1000000000000000000 949271305 388568148 298891263 846892591 1000000000000000000 624565502 568394546 161183948 208408822 1000000000000000000 595633915 484452817 447946550 538830895 1000000000000000000 276930394 16024630 182401401 224524087 1000000000000000000 631782898 416912477 205786181 325120586 1000000000000000000 843876911 121299937 466098966 176371372 1000000000000000000 380162003 137268225 288358346 51495726 1000000000000000000 539449843 445252321 509024060 360446765 1000000000000000000 421668632 372314054 345666604 172750561 1000000000000000000 465795724 353025458 199751572 251490182 1000000000000000000 682401209 162698396 138161483 109127347 1000000000000000000 809842652 117215869 351837199 442597256 1000000000000000000 752720559 750896792 43435138 584345078 1000000000000000000 49124877 44998240 16369798 16280611 1000000000000000000 350052912 69838950 15382432 337915125 1000000000000000000 61067077 37006771 42635193 24619421 1000000000000000000 7766124 1066611 6236633 3609400 1000000000000000000 902575911 594026799 800633801 212582020 1000000000000000000 268197529 248157382 239666697 258798998 1000000000000000000 554226753 108851581 544676994 258651468 1000000000000000000 215718348 44151624 58539160 197015810 1000000000000000000 143721180 119852163 62944876 83275348 1000000000000000000 77578407 18986144 44910744 42789042 1000000000000000000 173203668 164465582 76342918 49439580 1000000000000000000 527638422 180019159 22318104 125452312 1000000000000000000 354196641 98081821 197722099 113773156 1000000000000000000 495373093 45445893 446059848 492795113 1000000000000000000 289867450 286226086 263984847 92127529 1000000000000000000 277601701 175195220 137755055 127554518 1000000000000000000 420126821 358396534 248270361 134106099 1000000000000000000 423307533 386661424 56492372 378437049 1000000000000000000 519703696 194849055 275245579 332675341 1000000000000000000 844447572 181697351 15693260 760617872 1000000000000000000 992373853 73258463 229318259 849155542 1000000000000000000 965967036 511420826 400318663 755214236 1000000000000000000 84464454 13043800 24241057 8611202 1000000000000000000 58837148 57358895 50577819 45839986 1000000000000000000 225235318 137062474 166375555 207969115 1000000000000000000 969938401 552633212 562447401 22369734 1000000000000000000 29989516 28217299 29727482 23513706 1000000000000000000 645638378 616896506 1599121 461406675 1000000000000000000 764396338 255065676 722767785 97371792 1000000000000000000 863888068 597738550 421919368 711648892 1000000000000000000 968654642 277090560 530507658 468065380 1000000000000000000 805800958 774089452 15528797 510220502 1000000000000000000 622591211 27832004 608519727 304711593 1000000000000000000 606226020 605431292 251485472 328380964 1000000000000000000 85353993 52914964 57477618 21342924 1000000000000000000 920835902 225521583 126728081 713327599 1000000000000000000 5304646 3468562 4346403 4730973 1000000000000000000 277932658 242434961 133717417 258587840 1000000000000000000 400963034 199158303 272518634 69420959 1000000000000000000 227112447 183108692 91615498 34765700 1000000000000000000 134398589 50662254 94966461 100770446 1000000000000000000 83253443 3725133 24225775 13940531 1000000000000000000 103544357 55344187 7404930 37366751 1000000000000000000 437137781 411173854 181589355 346328239 1000000000000000000 593021798 276753690 309984772 376840042 1000000000000000000 649194864 203118712 50915995 451472228 1000000000000000000 383152270 118625179 5398087 189912794 1000000000000000000 35686813 27273462 8331841 8100778 1000000000000000000 479446426 109810041 168482531 422797188 1000000000000000000 747966931 359999127 89843860 56287409 1000000000000000000 242855692 194883715 133396161 175375331 1000000000000000000 264897706 213223731 32937538 207426891 1000000000000000000 838614381 370804360 391185548 606795756 1000000000000000000 395740192 342169569 295975460 181960834 1000000000000000000 736913992 454782237 233916976 564411290 1000000000000000000 157332599 93664481 126439238 45799144 1000000000000000000 985640588 121284444 338685696 230063034 1000000000000000000 295134069 236464147 4060874 125296957 1000000000000000000 316191318 63390558 303834834 161829248 1000000000000000000 70707528 56834355 55104346 9725005 1000000000000000000 400291314 288880168 125577417 286235198 1000000000000000000 255853069 141774075 206390996 79556992 1000000000000000000 468001659 219400614 145542233 34335695 1000000000000000000 506509089 354649262 318593705 411150727 1000000000000000000 842156924 195787341 221950034 201589765 1000000000000000000 595911894 473702473 10982691 168852478 1000000000000000000 146353622 51211120 11769409 133084393 1000000000000000000 669195246 601689330 283683179 163735895 1000000000000000000 221550930 62255881 126699356 55659052 1000000000000000000 823627103 148780684 615774874 118461467 1000000000000000000 559695031 435414049 257398343 499242126 1000000000000000000 841873746 548970598 833189106 664545788 1000000000000000000 611253599 289829493 97642882 490375491 1000000000000000000 359019409 134739740 13968730 47453348 1000000000000000000 100300911 88230716 21857726 14941533 1000000000000000000 465614443 73057212 416350054 342934043 1000000000000000000 885507010 422424156 172318794 585201038 1000000000000000000 898900937 87659395 844064869 235231041 1000000000000000000 584014302 175577201 527169552 494638679 1000000000000000000 142909949 68649972 84910443 66113984 1000000000000000000 467786442 159284418 204482817 147428459 1000000000000000000 694600280 623883750 613562895 444611758 1000000000000000000 314157035 161158049 260703931 124156495 1000000000000000000 821084692 773070127 657019268 53700831 1000000000000000000 780791056 634085429 340522519 63047475 1000000000000000000 213653447 153372675 148300573 45921685 1000000000000000000 562396697 219842202 447802666 153001643 1000000000000000000 989898919 541884160 308262 858670832 1000000000000000000 949607864 238905538 83166545 714072262 1000000000000000000 419165307 143050594 225966599 338170859 1000000000000000000 477094910 273180139 22819316 314896911 1000000000000000000 31280235 3510330 6789784 16756062 1000000000000000000 228123135 79523748 171048755 216046822 1000000000000000000 259217110 153226434 249509286 51884854 1000000000000000000 486124996 120624583 213165905 44295208 1000000000000000000 158105922 118446486 118028632 138198588 1000000000000000000 350936901 131859936 22198889 108094137 1000000000000000000 832766209 48444112 273655667 531045402 1000000000000000000 86608011 32465804 23951913 985822 1000000000000000000 348817104 57760164 187901483 89902024 1000000000000000000 229460374 180452309 16761376 155810181 1000000000000000000 453000470 316062507 325239783 298020234 1000000000000000000 783823857 442944398 89040091 329255118 1000000000000000000 682719752 519359232 357409929 570225110 1000000000000000000 303824668 263515174 277634353 18556221 1000000000000000000 750103274 106413570 143219101 467030449 1000000000000000000 917996121 345825583 389141490 663004125 1000000000000000000 527563908 502880755 151068657 123768053 1000000000000000000 180994043 87108249 142578363 3194589 1000000000000000000 566571852 207985120 365326631 22437579 1000000000000000000 332542595 314793013 200107363 182618016 1000000000000000000 635349147 623026159 46497748 259165369 1000000000000000000 668128049 252254944 652680352 483645495 1000000000000000000 694452913 538058909 154728750 180525368 1000000000000000000 340264910 42753643 303143925 198869790 1000000000000000000 965113416 407988054 86729896 920632874 1000000000000000000 957723962 340644529 280957734 401856094 1000000000000000000 471380683 261735574 416159671 230715973 1000000000000000000 153006696 69019886 133458356 97944678 1000000000000000000 996455329 534757014 800453791 7714809 1000000000000000000 327353588 295543723 146355182 126771025 1000000000000000000 152283142 73168017 102595267 92863064 1000000000000000000 106593480 101078966 56051781 19801886 1000000000000000000 435352932 63828544 256735620 307228182 1000000000000000000 125604578 70002641 63227658 121447308 1000000000000000000 513005839 202733309 164399335 204652239 1000000000000000000 3946819 1226673 2579894 3849082 1000000000000000000 99191862 31624213 49815887 30147769 1000000000000000000 42419923 651505 20142959 39223028 1000000000000000000 295852994 138159982 4493956 58930812 1000000000000000000 852544158 415038316 541298729 478354555 1000000000000000000 283069230 50750317 74078753 252889093 1000000000000000000 733593071 373450862 722651665 111991296 1000000000000000000 840123203 109980481 619542772 659629190 1000000000000000000 826021635 424024581 585683868 339903888 1000000000000000000 725345022 51337644 249970751 363923666 1000000000000000000 960924770 891589934 672197676 441273632 1000000000000000000 787303991 581260697 420386011 40151409 1000000000000000000 348728803 175445852 267314338 252963206 1000000000000000000 274058039 140409254 50091125 205895875 1000000000000000000 325861120 123040036 96824337 132962346 1000000000000000000 689670412 344095729 549511483 89555840 1000000000000000000 702573606 66828020 527938620 649628861 1000000000000000000 296142965 267620649 85154433 224548957 1000000000000000000 763433654 558684390 514927347 530550772 1000000000000000000 470997691 15412295 179969617 430643635 1000000000000000000 499869586 7319143 63994494 290776684 1000000000000000000 129402253 81355283 11332237 111495533 1000000000000000000 449811441 8432721 446395831 260726374 1000000000000000000 173765795 44666267 62681615 152534550 1000000000000000000 822026941 811437727 816583174 128820580 1000000000000000000 926259479 594301913 791508128 874682007 1000000000000000000 745796366 90677115 624091867 740098548 1000000000000000000 983622203 785461716 63120470 206707047 1000000000000000000 217661779 198638952 205628395 165537109 1000000000000000000 256974949 104567192 39312129 63096580 1000000000000000000 518682214 145793743 362654097 379431054 1000000000000000000 322039174 74846534 187503271 306792091 1000000000000000000 842020401 631826944 451013438 600062591 1000000000000000000 391115341 126026655 15660070 3848973 1000000000000000000 761254000 666430962 133687616 670308326 1000000000000000000 521169228 303509802 509389471 134956036 1000000000000000000 641640344 129409234 304058071 43970828 1000000000000000000 173060515 78828092 72654086 37774673 1000000000000000000 566644950 515629787 276617885 230536131 1000000000000000000 545023647 274941184 193417972 430089982 1000000000000000000 641674191 250178503 356492805 155837197 1000000000000000000 62275600 8796476 45176757 45010249 1000000000000000000 880052265 856602403 236130044 768282932 1000000000000000000 897862564 208737227 680837778 99081847 1000000000000000000 610367702 306689255 114294352 35883835 1000000000000000000 669302909 501468072 392690202 591369000 1000000000000000000 393738453 369357866 49577220 136641124 1000000000000000000 158011263 7139133 13485098 144476687 1000000000000000000 268968983 217931245 254199374 248133360 1000000000000000000 702637455 37940689 597875191 477257367 1000000000000000000 652530326 264762105 504573527 540801224 1000000000000000000 284575299 35142728 156665286 173254678 1000000000000000000 852038466 183941361 406179422 408428206 1000000000000000000 744307181 226618845 316319019 222959436 1000000000000000000 333604445 176576367 94492329 191330501 1000000000000000000 283070058 147299563 185324458 43802887 1000000000000000000 55192222 36029323 9400711 11128729 1000000000000000000 970629674 599975510 250018067 764359255 1000000000000000000 688145243 327002686 254847727 146718785 1000000000000000000 992856136 991034346 708781260 837552433 1000000000000000000 904489198 868622792 130501467 707418249 1000000000000000000 605901636 81793561 513052681 75220363 1000000000000000000 446307515 315406416 418206882 269938624 1000000000000000000 676257427 635718733 559598618 414123030 1000000000000000000 959744797 367884071 746816575 566824329 1000000000000000000 872547172 129349104 67273562 327198536 1000000000000000000 450412695 222594727 261656496 182120074 1000000000000000000 100054844 6946616 16416883 45813234 1000000000000000000 677111945 371103578 164672026 502683245 1000000000000000000 771672817 654867178 5273913 216931634 1000000000000000000 486005072 351722050 316057016 39167468 1000000000000000000 701096632 657443562 503765766 544225807 1000000000000000000 955242161 477927319 805603974 454379879 1000000000000000000 125637829 34463368 40647349 125617961 1000000000000000000 46062486 4702729 37898810 19323069 1000000000000000000 845050323 440095996 678774960 414353581 1000000000000000000 327225378 87031274 281191230 298928680 1000000000000000000 487981446 338467885 184856935 82273588 1000000000000000000 175423509 32981244 106675675 56656772 1000000000000000000 147399788 128243033 58164459 24297768 1000000000000000000 632779062 131721695 399366877 459727646 1000000000000000000 751549675 260035516 514877352 708398916 1000000000000000000 477930649 385630785 331351775 145683457 1000000000000000000 687753947 45280570 260514193 332678998 1000000000000000000 303513204 38750403 236368203 8581055 1000000000000000000 238121789 95368541 157311742 224837113 1000000000000000000 742330280 447607635 669896833 395874775 1000000000000000000 599626663 67921598 518251769 214160016 1000000000000000000 229098610 12914301 181670365 130009285 1000000000000000000 372205596 26093984 279053673 140160385 1000000000000000000 54311429 45084428 51957684 34831029 1000000000000000000 919216063 398206903 109524457 177092917 1000000000000000000 131609697 93895703 48909367 57753769 1000000000000000000 31056396 24556174 16900026 12601427 1000000000000000000 356994151 32153207 24420452 288923889 1000000000000000000 38149223 9741784 5323865 27986179 1000000000000000000 939330726 791420569 794326820 3660935 1000000000000000000 325973002 285596687 283169267 286285153 1000000000000000000 377143952 166596411 257299096 15125611 1000000000000000000 614421620 408358127 318563160 153958480 1000000000000000000 608847455 203256204 466327794 517622355 1000000000000000000 348200725 295728166 29469676 207255637 1000000000000000000 533494038 184411972 143139356 249624859 1000000000000000000 663859800 240147515 591062594 329070828 1000000000000000000 39194184 36225432 37950378 24740758 1000000000000000000 640011372 95030889 203078990 121612437 1000000000000000000 107594247 35920427 10711575 20203216 1000000000000000000 481826601 5198259 95899442 160057952 1000000000000000000 651105673 405328775 242262047 87563794 1000000000000000000 937256250 144643398 913895906 259432045 1000000000000000000 315850592 226277191 172470877 58470254 1000000000000000000 783467198 166105439 288438093 201349939 1000000000000000000 757407781 327288365 38974741 346886851 1000000000000000000 225328785 12606953 65335415 155645853 1000000000000000000 777881072 457461018 362966947 297465785 1000000000000000000 41363482 28674723 6925092 35467519 1000000000000000000 522067126 56568675 36852454 68584699 1000000000000000000 374944190 75002865 156109533 345216503 1000000000000000000 998614824 199525274 488996028 838052204 1000000000000000000 646742619 521859712 422586985 401359067 1000000000000000000 773448549 86893765 251001771 335590342 1000000000000000000 8933533 8548767 7497346 3883708 1000000000000000000 424874732 329993454 164179466 403474111 1000000000000000000 701732848 254167809 200059568 678060743 1000000000000000000 848999904 353526562 547294846 127676897 1000000000000000000 396937852 209636811 271988691 58735739 1000000000000000000 155964981 91284397 140188429 43835706 1000000000000000000 457849599 59934782 231165207 63944851 1000000000000000000 382489222 141013433 86631043 184898036 1000000000000000000 486822699 442313778 378520132 268305986 1000000000000000000 547282865 315711528 29404100 263725072 1000000000000000000 346033248 119226409 283343253 320630454 1000000000000000000 720031186 27314308 87348150 630201303 1000000000000000000 43842593 34136298 21375838 10509056 1000000000000000000 68066873 50687826 26062914 3047535 1000000000000000000 67229974 58861402 33997273 41627025 1000000000000000000 230041006 87572775 110953198 131607069 1000000000000000000 663626823 658197362 578507177 545188110 1000000000000000000 105676036 11110253 76206836 33387324 1000000000000000000 702213753 245911137 136352339 676175521 1000000000000000000 669667099 225254804 514994463 628289765 1000000000000000000 329734077 10710029 225134470 181579804 1000000000000000000 628384268 531802073 270079299 457459014 1000000000000000000 809752984 807835601 288352020 792537327 1000000000000000000 669398012 641781964 58073665 496812762 1000000000000000000 525009611 48193971 137690254 239788704 1000000000000000000 679607860 643705095 637059146 322604648 1000000000000000000 395149918 59927506 60361102 25639895 1000000000000000000 944999955 35476217 839247066 516254954 1000000000000000000 49532321 42844317 40235030 36568726 1000000000000000000 95268399 16643734 62826230 83953192 1000000000000000000 840371208 622870798 124312784 738189728 1000000000000000000 995429020 722253999 96859442 280645167 1000000000000000000 773130904 733614769 710286642 587292056 1000000000000000000 406377856 187802872 75338059 266695166 1000000000000000000 427208090 361943696 394720135 98932764 1000000000000000000 111424581 16198611 104247868 97567359 1000000000000000000 827343479 422980521 203439296 803916320 1000000000000000000 747939669 292663245 398115031 287362871 1000000000000000000 338696446 83628747 215441681 335390243 1000000000000000000 259973293 199966134 48858343 244960364 1000000000000000000 47717715 36804808 35001930 42116377 1000000000000000000 162464059 156596642 67502225 76647268 1000000000000000000 332781706 20955422 241836481 109272234 1000000000000000000 347405407 198647103 12347040 342253250 1000000000000000000 733028947 683994405 173928423 56173764 1000000000000000000 889405844 633184538 345704989 882622217 1000000000000000000 352934025 327271458 260174 122204497 1000000000000000000 887137878 625243263 230264958 552649061 1000000000000000000 492593728 427801429 166232527 119435265 1000000000000000000 630021725 61525567 476357282 67571469 1000000000000000000 476545390 259123204 69553833 115262502 1000000000000000000 191305409 162331997 3538449 53107300 1000000000000000000 918040736 590383819 108262926 556474963 1000000000000000000 214164831 168092731 30953408 195735676 1000000000000000000 665852774 613536721 517804046 548915192 1000000000000000000 15663282 11317588 3099737 2940639 1000000000000000000 407948222 385866544 212001049 142654910 1000000000000000000 848990095 550143649 810623401 39077696 1000000000000000000 704594893 690355440 154625275 465109680 1000000000000000000 221906098 79809597 147756645 180837767 1000000000000000000 82383246 30220926 70164047 14261696 1000000000000000000 702713146 250236426 694924569 595323634 1000000000000000000 204341434 134084236 107140709 30013273 1000000000000000000 646072642 615255807 26541488 523243247 1000000000000000000 626060631 426066900 26353147 73806134 1000000000000000000 201934874 8521556 98055594 156521078 1000000000000000000 501588590 258512208 260308129 354088553 1000000000000000000 820419564 332876672 413212270 269875370 1000000000000000000 978465421 860652235 558528314 65741990 1000000000000000000 433823329 367425975 77349358 214321043 1000000000000000000 671674062 105328733 253435477 319749505 1000000000000000000 483888408 470083272 416839326 332477493 1000000000000000000 797142680 662915412 380500099 325021464 1000000000000000000 314957652 134362271 132217510 73484165 1000000000000000000 763673890 109314446 625292970 593400704 1000000000000000000 894647100 507525868 379253603 611418431 1000000000000000000 613357094 583978927 507205094 412158577 1000000000000000000 372344698 74758189 117255100 75514502 1000000000000000000 28525929 28019 19407300 105290 1000000000000000000 138914863 37181587 32677483 133871427 1000000000000000000 268459311 93456433 251187547 73443687 1000000000000000000 879554307 700702518 236709543 113923467 1000000000000000000 395956002 364287532 141241796 105124491 1000000000000000000 786351197 764725043 360043667 592650404 1000000000000000000 769526257 442145195 329443921 348623741 1000000000000000000 830976093 705783519 571670744 643236570 1000000000000000000 704237777 257013814 593100050 445952151 1000000000000000000 801223351 89702347 412695025 163853722 1000000000000000000 402134697 170968740 31882934 2527385 1000000000000000000 52673424 36889060 12655242 15213932 1000000000000000000 709868183 694229769 319724510 105478971 1000000000000000000 320643345 283402171 90634996 36711240 1000000000000000000 858292743 644659717 2916873 633205917 1000000000000000000 216130018 60466430 204023497 111159903 1000000000000000000 498832867 213536157 469443215 200334119 1000000000000000000 861435950 228635080 522834 464804164 1000000000000000000 851700817 29504667 47237575 102587736 1000000000000000000 322213302 155946504 240467187 157338135 1000000000000000000 396196665 319012803 373494228 129393495 1000000000000000000 374750110 371955269 163642398 231656419 1000000000000000000 843942525 26492207 257093692 735858849 1000000000000000000 123278605 61438986 5949544 90850062 1000000000000000000 174084755 95857183 54565316 159430801 1000000000000000000 708497166 484565747 623876237 21646068 1000000000000000000 968987062 116622071 205646233 746422991 1000000000000000000 232309558 199102636 120042056 8468447 1000000000000000000 505697130 393755002 321115977 54491470 1000000000000000000 307204459 229804627 238820564 4871001 1000000000000000000 283738967 128661740 95687994 48995676 1000000000000000000 152575227 22784652 57376048 58651126 1000000000000000000 96778287 37978566 36420647 62444385 1000000000000000000 546711921 454110128 394992314 156062887 1000000000000000000 485747848 484041 319463140 74967644 1000000000000000000 873275964 104263132 176127721 569369392 1000000000000000000 917021267 128751113 28818082 137373083 1000000000000000000 214759427 193671312 46534057 160090502 1000000000000000000 199903777 166862357 158738055 83380558 1000000000000000000 958016486 891993388 615070075 6185624 1000000000000000000 817139631 396854443 158886532 369206342 1000000000000000000 610271029 216950341 589951598 189954974 1000000000000000000 317979867 82901734 47785867 235162826 1000000000000000000 236217904 190547893 136047882 119033451 1000000000000000000 978727328 709026925 59537334 381559207 1000000000000000000 540709634 517064917 378269721 281985408 1000000000000000000 664222228 179586539 219970834 168047493 1000000000000000000 419293865 40299814 79091031 4812231 1000000000000000000 363294602 242618686 213810575 216763806 1000000000000000000 143273269 121456261 95443337 64917063 1000000000000000000 650926719 31497626 609168767 344171906 1000000000000000000 870204660 808847337 293078730 583069857 1000000000000000000 417533947 180032481 242891872 404033622 1000000000000000000 688035000 20352166 381162663 101170251 1000000000000000000 834710208 779337573 563371439 90861149 1000000000000000000 549843110 480542747 8345650 492655845 1000000000000000000 367696688 53487729 187017655 188636552 1000000000000000000 529414626 468856497 206415914 439555591 1000000000000000000 326642401 11929903 185916531 276899012 1000000000000000000 724357129 224622934 717444304 230037328 1000000000000000000 908871219 586439937 334939075 407734463 1000000000000000000 675608243 97605992 47668280 588431271 1000000000000000000 95644803 68941461 85957206 30904996 1000000000000000000 362792843 52377771 48390710 164000553 1000000000000000000 975832467 609290572 974826857 195276566 1000000000000000000 67828673 19476753 10625376 33746685 1000000000000000000 345749702 237918236 258630160 26295336 1000000000000000000 571315544 516049864 419832272 232398174 1000000000000000000 314611061 3336046 229886538 299079780 1000000000000000000 432058794 393692872 281621963 254825902 1000000000000000000 31266597 15192999 6296955 1649408 1000000000000000000 2521766 2425180 647059 1350760 1000000000000000000 942387768 206237537 396660180 832085181 1000000000000000000 992664074 244278400 789573474 359033117 1000000000000000000 773478815 143510429 440753358 555341372 1000000000000000000 77082370 57824770 32736974 71646505 1000000000000000000 785470157 281900033 209809597 350195970 1000000000000000000 241849238 65226855 43018764 169519066 1000000000000000000 863218574 37585029 548468238 862175798 1000000000000000000 977034052 226803238 494173104 525592609 1000000000000000000 275247651 234270024 40198686 76453121 1000000000000000000 64069408 24038833 22377041 39864496 1000000000000000000 96065775 66753249 39145811 39765286 1000000000000000000 924536369 399426437 410999990 676125520 1000000000000000000 540788934 323167316 173238930 138618072 1000000000000000000 110598700 94298511 83463589 9216570 1000000000000000000 441133536 162850526 142073195 291075717 1000000000000000000 374352782 12058291 124315825 259929309 1000000000000000000 693841985 122436279 630991872 535947214 1000000000000000000 948248066 920216552 581749434 1460880 1000000000000000000 254526907 161491101 20175260 59409319 1000000000000000000 105081305 60996300 61733534 32982173 1000000000000000000 493657001 190024651 112271071 275154093 1000000000000000000 848979869 745814920 546938935 553945413 1000000000000000000 77500640 18252616 51229146 55536169 1000000000000000000 125157198 70278487 80863367 47764785 1000000000000000000 247130924 11318000 189711712 25964423 1000000000000000000 326918200 3043655 70840689 311282680 1000000000000000000 877568788 393893258 37424724 165809288 1000000000000000000 150569733 77204566 86076237 98468623 1000000000000000000 254199941 31282038 214361248 19937996 1000000000000000000 464056898 358514001 403934061 96462867 1000000000000000000 449169227 377328264 382781835 132498091 1000000000000000000 761224763 757156792 366137797 557856183 1000000000000000000 581145544 338942230 13085900 383418495 1000000000000000000 391726722 139038038 52080124 10166302 1000000000000000000 415277692 414629513 334033213 303338323 1000000000000000000 492163808 168111059 129792486 69941828 1000000000000000000 526949561 128076605 432090185 10714719 1000000000000000000 97822452 254127 48874344 18235231 1000000000000000000 15461593 4391915 13993347 8442574 1000000000000000000 333513114 237077169 150726505 285390190 1000000000000000000 923400096 841446460 187015225 828369929 1000000000000000000 429284750 344342505 9460595 325044072 1000000000000000000 701506068 10796939 428552526 46848433 1000000000000000000 607422858 527612523 132255670 179096800 1000000000000000000 125066435 79333536 19610210 15422510 1000000000000000000 273175638 247551362 147399337 188781459 1000000000000000000 22137153 13273393 3289243 18687430 1000000000000000000 274764477 182412686 253755421 227482084 1000000000000000000 66401081 24299147 54544970 34276665 1000000000000000000 322269990 126275572 126249997 147495231 1000000000000000000 623661243 520261315 29864916 267774608 1000000000000000000 348902317 181774698 231790805 280630251 1000000000000000000 66054469 20622609 17510367 35616993 1000000000000000000 116490622 7262240 32313706 72427808 1000000000000000000 932142965 111458988 334909702 117367237 1000000000000000000 113405928 38707661 107028460 58312100 1000000000000000000 709991555 688118930 214718252 294990462 1000000000000000000 368166735 5934866 152089031 45362862 1000000000000000000 812827745 281763856 448735493 244478649 1000000000000000000 295422987 92705055 145533094 188867964 1000000000000000000 575047703 301411020 265495197 397369068 1000000000000000000 295989502 65002096 20096370 15112394 1000000000000000000 911102780 499192080 209446312 480712543 1000000000000000000 175715081 167104831 166113409 57829521 1000000000000000000 750763248 89794560 277686816 726291364 1000000000000000000 962678466 121800459 105933205 633227669 1000000000000000000 131245788 116788998 19520558 121309504 1000000000000000000 323503931 169918974 258135154 83983167 1000000000000000000 228410868 13263474 122173750 228328083 1000000000000000000 196424936 37928851 170520969 154426321 1000000000000000000 462249253 210099663 158403543 114452935 1000000000000000000 833274230 748409775 360426917 804194247 1000000000000000000 502614389 267257885 240140016 318807456 1000000000000000000 718421518 271537240 362978379 201064998 1000000000000000000 857335231 219462038 62813914 99607190 1000000000000000000 53664703 40439779 27810784 33382945 1000000000000000000 456175176 439565778 436001661 274519026 1000000000000000000 754992672 84413857 701876689 334087524 1000000000000000000 781631788 231956743 775480477 647631514 1000000000000000000 561366076 418859794 349422124 218418979 1000000000000000000 596161553 62292047 166755044 13057107 1000000000000000000 631564565 165786643 544999131 541782068 1000000000000000000 871518384 813080720 432332072 316526426 1000000000000000000 192401037 41972312 457588 128248964 1000000000000000000 385685216 230042414 317957133 144524741 1000000000000000000 14115697 5734871 1956984 11566180 1000000000000000000 625051305 437318124 521438340 519798899 1000000000000000000 248757961 85995286 37761806 210868029 1000000000000000000 368230953 94852462 88522515 172585320 1000000000000000000 451850964 152381856 203977772 109450472 1000000000000000000 162225774 136483716 62790081 69075294 1000000000000000000 750731895 152070483 278322694 246306599 1000000000000000000 958281834 763863985 861961180 674522694 1000000000000000000 43895003 29658787 1088438 10670183 1000000000000000000 923726149 349868168 754878833 438123182 1000000000000000000 830849085 113027622 563558148 805914356 1000000000000000000 971401350 870056710 761072134 608340824 1000000000000000000 771829394 125916743 374619896 224271429 1000000000000000000 989951804 383868471 856631799 767708897 1000000000000000000 615632359 397029059 487391823 330386670 1000000000000000000 133426437 55130626 23442019 82614841 1000000000000000000 525155609 54347342 267481846 222637118 1000000000000000000 230225716 85174442 90800878 28568218 1000000000000000000 305226449 154302339 26765166 291614367 1000000000000000000 395366559 305175087 148303459 157967376 1000000000000000000 270842353 198940824 255316120 151781388 1000000000000000000 571323379 178246679 311836042 318227265 1000000000000000000 699666545 14110704 550049033 344394702 1000000000000000000 318938293 299829769 54649318 120594443 1000000000000000000 843376141 651928122 190284230 652505000 1000000000000000000 321498616 71385256 171167170 90105102 1000000000000000000 585139876 542753718 286396700 570402565 1000000000000000000 626066356 444070253 88158616 569589214 1000000000000000000 92535722 25433055 17771615 63249054 1000000000000000000 429713135 61117084 423695571 262129755 1000000000000000000 930876284 922995836 144439258 814692415 1000000000000000000 87644587 79173180 80603977 3056328 1000000000000000000 361584445 50405033 328568596 83376300 1000000000000000000 288576251 227054080 131554580 154812808 1000000000000000000 474599345 150747145 63260291 379833558 1000000000000000000 738508457 658934024 231487590 257185036 1000000000000000000 939239932 232242297 928400986 539488654 1000000000000000000 860047602 689014316 300110125 356499466 1000000000000000000 473873519 342733117 323771939 8386330 1000000000000000000 530208869 343965457 279165316 101357608 1000000000000000000 880713948 246680910 120074186 526885443 1000000000000000000 736223963 209080794 696416208 294203520 1000000000000000000 317668323 300668817 284550160 278738893 1000000000000000000 869341858 371807736 742267768 847102971 1000000000000000000 206645581 198429733 5881757 162763670 1000000000000000000 420533049 308752093 331756602 282140538 1000000000000000000 453321539 299223909 414064848 43234760 1000000000000000000 156860684 14416711 125848287 31382339 1000000000000000000 919187646 308796695 442281791 582139034 1000000000000000000 560792193 523670385 486029843 74283084 1000000000000000000 326611117 256570128 145414510 139799378 1000000000000000000 550810744 224556061 355249641 233922421 1000000000000000000 436116643 194843541 355882539 306757129 1000000000000000000 510120727 261196721 376043127 52940709 1000000000000000000 285139109 204337301 105003360 28774553 1000000000000000000 526604189 45749368 37240121 275931408 1000000000000000000 322881802 137215843 160880112 158824981 1000000000000000000 932309182 330524705 72441381 658409906 1000000000000000000 462121411 329870179 197521850 129068404 1000000000000000000 32130492 31321365 28243370 5480718 1000000000000000000 562023170 536708356 202696905 310712943 1000000000000000000 650101642 236453164 405040783 586975802 1000000000000000000 309196104 229688475 152976384 136289436 1000000000000000000 916945235 685847586 562085673 344704386 1000000000000000000 344775597 60994343 266009361 28554728 1000000000000000000 83267870 25687939 29819855 34031967 1000000000000000000 211993624 91079680 44845665 116281521 1000000000000000000 30195357 13154441 26777022 27797444 1000000000000000000 743858047 633364645 629522304 471575895 1000000000000000000 230505265 117086319 229971030 114054945 1000000000000000000 638992756 442604275 96636559 429246817 1000000000000000000 831313514 700148841 405230077 794492686 1000000000000000000 169011246 42032421 134834240 101308934 1000000000000000000 315031088 62824432 14924821 169683094 1000000000000000000 165448408 108860002 96098000 30435922 1000000000000000000 356857516 748750 300432737 310801353 1000000000000000000 975749094 789672380 42418135 519780635 1000000000000000000 171497831 109185031 151943976 9585563 1000000000000000000 418799123 286633976 216423382 157283180 1000000000000000000 859594574 690158053 713987272 592557631 1000000000000000000 799104056 263678547 273281873 541208334 1000000000000000000 421893696 352490661 350190154 44866973 1000000000000000000 267379506 109475041 198941671 74578966 1000000000000000000 502403308 286631200 107868826 371544256 1000000000000000000 345526342 61511399 84033416 116536347 1000000000000000000 253027275 217374751 131009596 119316694 1000000000000000000 265709947 74539673 49818071 99174706 1000000000000000000 699779726 44176561 325478236 167460580 1000000000000000000 221525135 133945717 8275432 34711055 1000000000000000000 302605480 226537205 202772768 104524731 1000000000000000000 999498965 18882842 498411836 395664865 1000000000000000000 531785068 370639272 402696820 10826321 1000000000000000000 18088286 6795704 2158390 9537394 1000000000000000000 312320772 153708385 3392106 1520810 1000000000000000000 750291948 660658222 436001730 255052092 1000000000000000000 42810557 5207396 27899333 26692011 1000000000000000000 724041972 524659305 721327233 177151037 1000000000000000000 492843004 484786549 318297303 411978788 1000000000000000000 10140169 1201285 4706383 10023062 1000000000000000000 887357828 137167329 785151272 851651518 1000000000000000000 18893665 3955686 124418 5414727 1000000000000000000 111330919 88751956 3437634 69413097 1000000000000000000 812624179 708774801 229126836 614734888 1000000000000000000 437194124 381889591 13855971 131183520 1000000000000000000 33286652 15295312 11232363 18216353 1000000000000000000 894271626 720239399 367515004 855104278 1000000000000000000 89519332 24136216 67400386 76068405 1000000000000000000 411144990 315685624 379006015 129353541 1000000000000000000 35017502 17088843 2134962 17639636 1000000000000000000 56955764 2916347 5233807 18201575 1000000000000000000 784993929 757824679 749541049 106366711 1000000000000000000 141883584 70450380 118624633 67136047 1000000000000000000 608783934 163018207 122285558 482438286 1000000000000000000 443247933 254201839 133662833 411821264 1000000000000000000 462634631 364178075 378262799 130522646 1000000000000000000 561148789 494048141 378559863 168344343 1000000000000000000 845592851 433458779 556879676 751570874 1000000000000000000 38223123 36819172 37504913 34115293 1000000000000000000 617132140 113698190 596206940 507530241 1000000000000000000 450546793 404861071 63356580 142623666 1000000000000000000 275421103 163336791 45816877 173322820 1000000000000000000 375980984 185452230 99699117 79229307 1000000000000000000 179579468 7508983 137723422 41954763 1000000000000000000 725074907 251468858 561134175 680237822 1000000000000000000 61604107 11935017 51439242 16451124 1000000000000000000 701935970 521868941 361687520 343478013 1000000000000000000 241762596 133377040 139892144 131154437 1000000000000000000 883052850 73007836 757605795 170609975 1000000000000000000 588935525 304413106 394866369 513885834 1000000000000000000 476233616 372066638 382085689 37263917 1000000000000000000 421079342 205341657 155672592 139986935 1000000000000000000 646774001 335993966 514647691 235370875 1000000000000000000 96675351 11403558 88372598 27587344 1000000000000000000 361316237 35662709 115096840 73223132 1000000000000000000 146937990 73712000 85156676 45262822 1000000000000000000 36710551 14528615 5785614 11083431 1000000000000000000 986859611 938835207 482307199 972728420 1000000000000000000 665712855 569093131 114221015 283391259 1000000000000000000 190460797 185280157 157692043 178358660 1000000000000000000 613932480 492454398 36113577 139508076 1000000000000000000 891680557 281168854 842059563 726875220 1000000000000000000 800322065 760438500 217551645 613270361 1000000000000000000 786929745 256892430 688971706 3051818 1000000000000000000 237408323 187947895 60076085 210330777 1000000000000000000 4401059 2923456 495756 908813 1000000000000000000 59264263 54624560 10458472 46950966 1000000000000000000 515025930 274038145 419735360 434840620 1000000000000000000 92943091 47704331 13802252 24778946 1000000000000000000 384680936 191550830 240450392 125444865 1000000000000000000 426603555 80362699 351777573 115691601 1000000000000000000 399943388 54614484 93241105 286797640 1000000000000000000 415165180 395010085 203533175 301022136 1000000000000000000 422946788 207730194 241681648 102704493 1000000000000000000 710819058 435147643 442544929 277988355 1000000000000000000 302707439 75108456 184833522 96247723 1000000000000000000 721543386 580925532 101973226 257727764 1000000000000000000 469239695 216309567 51885169 39629625 1000000000000000000 254950218 3539980 217052475 222884848 1000000000000000000 550991578 500928481 235741218 1746051 1000000000000000000 965401725 383341027 544871746 322061858 1000000000000000000 349712608 138392857 224318659 134219764 1000000000000000000 163490099 53640553 73469304 99521638 1000000000000000000 161937586 79497642 41296547 155958294 1000000000000000000 784949595 737339043 147416442 629790571 1000000000000000000 254228320 244705907 200295173 75392127 1000000000000000000 606542708 222574059 172722463 372535295 1000000000000000000 403313506 375944862 89831503 68920784 1000000000000000000 64818368 62358910 20686366 38691642 1000000000000000000 281410928 76764446 271057207 157597118 1000000000000000000 635846267 360310713 291607716 524871761 1000000000000000000 49874189 27308400 14340380 34409197 1000000000000000000 80759236 67336920 73309521 48859090 1000000000000000000 5256218 4637974 4544054 3115259 1000000000000000000 872072465 652231497 223315279 592443451 1000000000000000000 608348576 303217408 279775086 73787537 1000000000000000000 736848026 583031749 614669842 95359944 1000000000000000000 923442349 522416839 65192399 594958001 1000000000000000000 762813390 496991036 83892815 242504675 1000000000000000000 415796742 89040890 338758278 125238259 1000000000000000000 868115139 796863347 427136117 483335102 1000000000000000000 523083456 437072213 211011551 276915970 1000000000000000000 854763399 486473835 419097821 78478202 1000000000000000000 687267536 205512661 15349614 240939648 1000000000000000000 65073995 31108971 44943730 27114915 1000000000000000000 629119546 311408637 142348153 88461250 1000000000000000000 632341298 264207791 422447216 299670070 1000000000000000000 926741258 616611959 888158375 182491943 1000000000000000000 573871336 469647820 170469542 277782452 1000000000000000000 603525534 247367947 121728412 152105476 1000000000000000000 231835869 174700650 224303239 101269581 1000000000000000000 613341106 58830466 562215368 511406752 1000000000000000000 868682377 836305660 833994603 672543428 1000000000000000000 253368089 152462672 16495350 156286693 1000000000000000000 708614956 367629985 264344165 194592008 1000000000000000000 271223123 44358649 136136169 106061190 1000000000000000000 277856323 177463649 116416120 69707273 1000000000000000000 592226958 134730682 434666133 319460455 1000000000000000000 97462689 31796659 494997 587956 1000000000000000000 831291694 634281856 777348102 512186225 1000000000000000000 479800050 459240817 242891346 113749141 1000000000000000000 598638704 176594885 79081779 388500031 1000000000000000000 415017503 43907967 57741002 231787319 1000000000000000000 164021463 130749149 150785114 121282285 1000000000000000000 76185664 20531094 72840325 15107451 1000000000000000000 156418428 85490788 105024060 136468872 1000000000000000000 970529086 600812622 876379839 558952926 1000000000000000000 533758989 452405158 427477575 415841088 1000000000000000000 624830801 623171716 552795698 305863535 1000000000000000000 3902664 1371963 201189 2889749 1000000000000000000 888407918 732505716 29035929 853546330 1000000000000000000 843998965 148658872 220914400 447091307 1000000000000000000 891754422 801629233 103555244 310831802 1000000000000000000 657380196 228453675 363383919 72315682 1000000000000000000 8112184 2973792 4009765 7842764 1000000000000000000 402569489 11957420 312534567 183535744 1000000000000000000 167284057 63573449 76127784 35158464 1000000000000000000 922547260 110033440 531828441 152409167 1000000000000000000 978837839 520208823 647045279 778125225 1000000000000000000 116575495 84309917 43447731 27717183 1000000000000000000 410599253 209086436 56484861 396991995 1000000000000000000 883442666 56545772 747862825 169866131 1000000000000000000 121650666 121290574 102540370 635524 1000000000000000000 872564339 42204185 59507140 454274570 1000000000000000000 654752467 26511493 216715643 122947060 1000000000000000000 770127255 553025433 660316654 81964045 1000000000000000000 551827223 5527712 415272374 74065442 1000000000000000000 892006514 123836109 62082931 99873557 1000000000000000000 180669753 145456192 47175018 172524530 1000000000000000000 806500638 526558088 678472236 299153527 1000000000000000000 187983260 45543091 39904024 128018707 1000000000000000000 621540186 245443992 114708655 579316470 1000000000000000000 671740362 513020012 521466816 45791902 1000000000000000000 358602395 154484844 109594522 248924332 1000000000000000000 723263720 573407778 59558419 305904702 1000000000000000000 492562139 484712122 256526078 82928747 1000000000000000000 131436776 57143176 78367097 86630401 1000000000000000000 626866325 29426000 142635924 395493215 1000000000000000000 951139968 626174231 919790341 638767539 1000000000000000000 833338015 526692485 218579801 622757306 1000000000000000000 809344488 485571957 720447795 364070592 1000000000000000000 202040244 184536931 97152703 78810699 1000000000000000000 395382901 391029548 101820944 359877202 1000000000000000000 294967913 189948050 122255132 282811755 1000000000000000000 807827015 631683204 235693994 158127819 1000000000000000000 393553023 27447781 110111785 103628023 1000000000000000000 419938117 173980195 213677100 304627816 1000000000000000000 48261402 36252317 29294292 11068305 1000000000000000000 287035256 72540974 175766258 213437003 1000000000000000000 924839195 607807974 629510689 779423108 1000000000000000000 47092998 12047188 24357932 2969684 1000000000000000000 591307218 555352646 18727750 143607215 1000000000000000000 303405085 192415936 230126330 63139392 1000000000000000000 433179019 248850551 58801695 85839639 1000000000000000000 979904669 974150100 731888668 50861880 1000000000000000000 469803976 440648599 271602928 49657883 1000000000000000000 887828249 480496427 92472995 334998166 1000000000000000000 972510342 682471627 411721137 112073895 1000000000000000000 649758662 563744505 611281874 128790485 1000000000000000000 350068517 99879669 225833837 41168338 1000000000000000000 928685984 249380977 350567283 614387509 1000000000000000000 596397106 464132123 363288264 26642560 1000000000000000000 428692855 380228088 298474298 359370106 1000000000000000000 947050887 824819853 224442435 353889267 1000000000000000000 675098444 470998160 530232851 218896747 1000000000000000000 370181151 367311532 227609861 211143058 1000000000000000000 3821688 1021220 3222970 3112568 1000000000000000000 319881713 242814767 111796091 305187949 1000000000000000000 391398504 301727405 131797009 221708963 1000000000000000000 995881544 433346607 65164434 479242098 1000000000000000000 680380094 101073748 33782062 21624009 1000000000000000000 841079000 257361926 95609082 1330168 1000000000000000000 477227700 118024002 330391938 248340300 1000000000000000000 805753478 623105315 713322392 71712806 1000000000000000000 596502036 97909171 142524413 88207693 1000000000000000000 730780652 663015294 450445856 665043511 1000000000000000000 748829248 614523621 635701480 116823367 1000000000000000000 113346987 8479789 58708823 78278868 1000000000000000000 974065457 464535539 317878115 649361363 1000000000000000000 742652926 289466751 700311705 590175498 1000000000000000000 206991343 70437990 131432255 144198866 1000000000000000000 971653480 146458018 331174617 39158140 1000000000000000000 172123127 25708406 75025992 129949531 1000000000000000000 461971586 103953372 421964845 73757693 1000000000000000000 284728344 204004192 135857305 217092747 1000000000000000000 788864116 23321037 639337681 760625433 1000000000000000000 53743085 37559782 18499360 8083029 1000000000000000000 50346300 2630430 5096602 32616999 1000000000000000000 675682185 406881394 137650383 643623416 1000000000000000000 95744271 58843076 15263022 70044816 1000000000000000000 125912104 85453030 61083182 26776476 1000000000000000000 311897797 282889424 273412324 164635460 1000000000000000000 884356628 313597838 30459422 798501102 1000000000000000000 131124254 80926201 873762 35289836 1000000000000000000 192044085 162092649 31159291 144871898 1000000000000000000 289108149 283441106 278043266 126788927 1000000000000000000 793890643 414699556 35898100 720395474 1000000000000000000 360484674 166136758 26553186 135954405 1000000000000000000 961668034 598204569 483273359 894329238 1000000000000000000 116420057 95996955 36769267 101460775 1000000000000000000 798734263 22007074 463328153 175267408 1000000000000000000 970655757 123357533 879013033 594202464 1000000000000000000 205423858 121493219 80546428 40010006 1000000000000000000 226185417 62696218 190076108 5409100 1000000000000000000 365563631 7250840 96860884 354857884 1000000000000000000 518678129 64729603 4246377 400504099 1000000000000000000 724318774 621166913 88444755 460657284 1000000000000000000 391257412 174061221 142952526 335532648 1000000000000000000 329838326 265142500 231413482 206403512 1000000000000000000 624728664 178179095 488380070 28846490 1000000000000000000 738362054 16856941 454003336 258628372 1000000000000000000 712411830 112777062 294469514 656328458 1000000000000000000 171880227 52534445 58921789 99270695 1000000000000000000 655484721 320852332 63718585 20350143 1000000000000000000 381882323 286571364 50113354 107784892 1000000000000000000 429035162 156186704 91077241 288367645 1000000000000000000 72128941 60498907 51267545 69832236 1000000000000000000 578326274 185077265 242947611 413364433 1000000000000000000 78615580 50226403 68086134 75849902 1000000000000000000 846016398 285600397 143286434 76780852 1000000000000000000 821691280 313487954 168209039 478258877 1000000000000000000 332841945 122686575 219996891 184389974 1000000000000000000 463907398 102736988 241177686 355992855 1000000000000000000 566169475 114205434 467573824 47191814 1000000000000000000 430515421 221677142 224954551 88498050 1000000000000000000 312014539 106090639 17742590 378701 1000000000000000000 424533430 393701693 286314095 1986082 1000000000000000000 876877030 370873853 574171066 716184183 1000000000000000000 41278783 863651 10172273 11880163 1000000000000000000 855507761 336655617 776110318 668872694 1000000000000000000 499815503 257182054 218632166 13931309 1000000000000000000 779064362 720748266 513020754 688898061 1000000000000000000 263557409 95559888 63765287 181823991 1000000000000000000 482062643 161884931 386047117 358165471 1000000000000000000 344079657 19927676 146684227 290319635 1000000000000000000 999020237 362598114 684589545 245706482 1000000000000000000 822203790 209222087 781333665 384839146 1000000000000000000 20599059 7006124 18019305 16368155 1000000000000000000 931176317 755729231 67195272 190266343 1000000000000000000 779517478 315015015 21954499 403154849 1000000000000000000 455266380 46471287 233582675 440434508 1000000000000000000 769444874 334853843 610666852 563767815 1000000000000000000 873214749 775848444 232655227 282628458 1000000000000000000 16922821 12147437 16552242 14708296 1000000000000000000 316183495 125487835 114065120 303663431 1000000000000000000 226600008 45407424 102155738 19336061 1000000000000000000 314867206 26211102 186577775 156212669 1000000000000000000 216034803 3413383 73281928 18618914 1000000000000000000 560747799 339115027 445514106 322135896 1000000000000000000 136302706 55667582 130710052 131313128 1000000000000000000 313524513 151022590 142473950 176850033 1000000000000000000 588535579 197612580 239099975 544836884 1000000000000000000 45903900 28625532 16148444 16466928 1000000000000000000 449588355 79119249 132680286 35180959 1000000000000000000 138613626 102362710 61116106 74454387 1000000000000000000 246513953 200977182 159711015 237626113 1000000000000000000 351988113 40321382 264787330 228583241 1000000000000000000 727080012 488343934 355382371 662445148 1000000000000000000 503782279 354919829 425678961 471621743 1000000000000000000 861323132 765865261 26876329 66741886 1000000000000000000 990701831 849010925 485191239 68027813 1000000000000000000 828886624 649873284 351746365 702292142 1000000000000000000 704868842 98996234 48172309 168426835 1000000000000000000 294984235 106687151 234573282 209616746 1000000000000000000 554282519 457753082 102667922 458992279 1000000000000000000 59475055 55803818 43632296 22215020 1000000000000000000 528494193 416125218 361909245 236086450 1000000000000000000 698402513 420140830 685179864 185547070 1000000000000000000 81409178 17407051 4337702 33751938 1000000000000000000 213792554 167862207 137651328 42734496 1000000000000000000 566550804 264641142 485224916 3240207 1000000000000000000 266357905 120550658 43997338 144295261 1000000000000000000 674351504 241689022 510081232 143989859 1000000000000000000 811216597 324572018 722850430 771678373 1000000000000000000 349938822 137873575 120539221 32015165 1000000000000000000 233994121 212881291 169047941 54704040 1000000000000000000 425445485 127566212 332852594 215651072 1000000000000000000 326527139 152335443 52965459 572549 1000000000000000000 357086498 342876429 135677067 222729224 1000000000000000000 979643060 410483597 761556678 245104015 1000000000000000000 528339553 328128154 106384297 88567668 1000000000000000000 502737509 34338454 162115231 274431509 1000000000000000000 601548673 164693466 508522088 59194493 1000000000000000000 379344509 123436702 228368165 248585404 1000000000000000000 353907556 265975331 117393140 323292030 1000000000000000000 777113192 194804067 744186426 641557826 1000000000000000000 690049587 458690730 41813702 6208809 1000000000000000000 38139611 16221098 6759626 17839476 1000000000000000000 122065039 66646472 103585319 50019776 1000000000000000000 401489990 24465447 5930699 16829439 1000000000000000000 689799939 290616711 309102047 251477825 1000000000000000000 605932527 591132588 71307216 443503976 1000000000000000000 569253195 535431297 319386566 323112969 1000000000000000000 306912260 236772175 286807169 248973159 1000000000000000000 169812966 8744791 143752319 69994007 1000000000000000000 993699364 468129029 631549763 395526997 1000000000000000000 894987369 289881308 203730429 832252884 1000000000000000000 842439759 47604383 176529377 532243882 1000000000000000000 256415472 167673989 54125332 99862855 1000000000000000000 540475705 383765829 250097647 276783860 1000000000000000000 591520462 139415063 399123532 420204494 1000000000000000000 759864555 479505308 149218120 659609438 1000000000000000000 682888678 323605830 58770140 403245034 1000000000000000000 214480993 203638860 11914420 75221043 1000000000000000000 567649662 530710803 220726453 562573879 1000000000000000000 871923218 789756824 750317481 223939735 1000000000000000000 683631552 537838057 453650519 282489763 1000000000000000000 990970342 879068226 488021647 278292714 1000000000000000000 415357150 362751835 335921470 352819890 1000000000000000000 410862105 287155338 359865741 276375486 1000000000000000000 118599539 87767914 50904960 62774126 1000000000000000000 387816040 265176965 318651665 55516857 1000000000000000000 105861690 32136279 92088447 33333235 1000000000000000000 262238595 134350607 103945141 104013725 1000000000000000000 905203522 857569155 387475826 585679569 1000000000000000000 745879585 287710952 266725151 269021070 1000000000000000000 999878664 518851793 492950817 323515608 1000000000000000000 906726815 600537278 357285204 124093694 1000000000000000000 276368160 165708861 8461302 36946425 1000000000000000000 164456061 67548128 62632016 89448820 1000000000000000000 63044186 22542010 28533255 2988240 1000000000000000000 461406143 451095821 26419994 190331666 1000000000000000000 88033395 40178908 2140624 77373031 1000000000000000000 829630716 444973316 520131191 190050785 1000000000000000000 504696362 111249115 212922521 392229288 1000000000000000000 745892966 146047434 134414211 249827474 1000000000000000000 247782643 245084775 200422070 167935846 1000000000000000000 474881053 375258812 380019004 174042174 1000000000000000000 893214451 139802619 429793267 37201459 1000000000000000000 827019754 694217650 63200525 800422154 1000000000000000000 423110356 89160386 40293905 298104 1000000000000000000 547182537 354328482 155951185 47941902 1000000000000000000 337746140 65101980 38720247 294418784 1000000000000000000 169797274 28852669 127656396 165668787 1000000000000000000 330573990 144088851 67968356 260528627 1000000000000000000 199561105 28039851 55522526 105193656 1000000000000000000 968101493 115016257 757117779 42830969 1000000000000000000 712237730 390327739 172817663 381550787 1000000000000000000 518859451 447944707 266933890 343176380 1000000000000000000 511767465 8486436 215983266 28666110 1000000000000000000 165263613 20069109 12675264 44802348 1000000000000000000 842495715 718354143 485819321 504973748 1000000000000000000 403993415 392465536 243396493 20020293 1000000000000000000 619793392 544291045 402404597 47885927 1000000000000000000 343835654 205098709 313615371 90464881 1000000000000000000 470177196 331056255 127050636 144552060 1000000000000000000 784457701 557047500 74318942 134114824 1000000000000000000 286081899 54831275 57993037 91669716 1000000000000000000 740352238 50757999 283661940 215151678 1000000000000000000 483297542 384203219 231890100 377122905 1000000000000000000 710806538 204882005 460299660 235185865 1000000000000000000 187878815 165929856 88724750 176617436 1000000000000000000 287409475 224512721 30541283 4017675 1000000000000000000 170932747 32131258 86105493 67720623 1000000000000000000 336775883 214731396 27394763 113745680 1000000000000000000 325192083 210252432 84105659 248273967 1000000000000000000 896073375 648881073 75584636 35876723 1000000000000000000 791761401 786635344 326829625 662287136 1000000000000000000 733521705 477180693 33640477 413139119 1000000000000000000 856172530 772412359 515545792 599483913 1000000000000000000 32431597 26480068 10813404 28417089 1000000000000000000 486729735 117381225 288041198 64343258 1000000000000000000 911299159 461803054 652363513 42748925 1000000000000000000 292495301 249444836 168553822 53275380 1000000000000000000 892489534 639811096 102866083 145436340 1000000000000000000 713902573 72609676 455210115 640774980 1000000000000000000 52091026 1013817 36155214 5375651 1000000000000000000 268261723 226603202 111902234 69525780 1000000000000000000 956784956 748501102 838888183 194516059 1000000000000000000 245958831 127723967 230396719 201560965 1000000000000000000 389265328 233455538 384533728 19156411 1000000000000000000 226133566 5925865 215711805 206586213 1000000000000000000 389689309 9443602 90432558 80762348 1000000000000000000 457974698 47376232 290800765 135335680 1000000000000000000 632645101 501432001 118659610 382900979 1000000000000000000 758539601 690036503 47047906 471360222 1000000000000000000 138446356 55396839 106511462 81093104 1000000000000000000 570292649 233111544 291486245 500908611 1000000000000000000 604423095 397641653 10157303 220452953 1000000000000000000 949987781 637407567 528043307 925096742 1000000000000000000 363632744 43608418 348249494 257907240 1000000000000000000 296776252 8610869 167527208 235667769 1000000000000000000 912949249 395854957 822175893 744206483 1000000000000000000 601465901 579840118 43541095 220937329 1000000000000000000 949898436 72590507 132997201 507103417 1000000000000000000 563248884 136989100 485592342 235218061 1000000000000000000 228102372 136324844 43380415 93002073 1000000000000000000 830765040 238571016 416220401 716581172 1000000000000000000 896866051 474334953 248812375 780127436 1000000000000000000 401122065 270362091 213583981 371012618 1000000000000000000 301269304 263330143 168021170 181723880 1000000000000000000 681664343 84364623 637811612 417209477 1000000000000000000 390441425 270898237 259903455 389899566 1000000000000000000 989355540 884738825 31923613 954309153 1000000000000000000 452484058 332312522 233712496 156755335 1000000000000000000 336054754 107723838 91459254 303559970 1000000000000000000 775087193 679126802 582770584 329114976 1000000000000000000 179951042 174886275 120513151 108169398 1000000000000000000 719779223 692483199 240854015 301189490 1000000000000000000 49086178 47347631 21492347 41748374 1000000000000000000 927686426 68210213 308088520 136288045 1000000000000000000 513892079 70745163 111684187 133894755 1000000000000000000 40356442 34392626 189862 24894049 1000000000000000000 64616117 63386830 32176314 29216429 1000000000000000000 393697688 119717297 109558879 272307388 1000000000000000000 927240108 314084565 356586901 16804503 1000000000000000000 834474095 554931356 465612056 113357894 1000000000000000000 812615467 460109952 428460608 139153695 1000000000000000000 582785850 95450237 48926188 308456144 1000000000000000000 674580933 444999374 116367068 426217058 1000000000000000000 38646845 5697228 1206500 14597149 1000000000000000000 168203659 83512317 73399927 89657287 1000000000000000000 394826806 374514564 203783731 346790854 1000000000000000000 268819642 267144245 67257181 218458531 1000000000000000000 517988878 216009592 140760943 343026725 1000000000000000000 274231491 87802204 36607076 102644307 1000000000000000000 663516983 544211835 324842501 537816026 1000000000000000000 440608450 103059987 225401516 180778441 1000000000000000000 755016537 505961806 554350585 321871122 1000000000000000000 255820864 208786283 126770668 149636694 1000000000000000000 92358502 31586925 25148724 18415830 1000000000000000000 858875407 230935973 678394737 730994406 1000000000000000000 205545244 72617413 166496153 33723699 1000000000000000000 898320864 736809902 292370865 804966621 1000000000000000000 506659127 363558194 20795980 408992687 1000000000000000000 17084957 10223026 8360750 2114225 1000000000000000000 236209822 170598343 113516493 95279486 1000000000000000000 379465824 243649741 55779346 27141812 1000000000000000000 953398897 760869315 191978527 750534343 1000000000000000000 880599362 699409845 500270164 97605154 1000000000000000000 203915627 181621973 47806283 74053960 1000000000000000000 461657715 116210110 288488110 362034290 1000000000000000000 872471252 720853288 49747421 103904448 1000000000000000000 807442722 748672592 375843688 493654220 1000000000000000000 305911676 131700182 79947941 143355846 1000000000000000000 296316905 62023703 223467488 175174747 1000000000000000000 239383661 1229849 54080259 52341708 1000000000000000000 411513041 73942944 8676794 213652313 1000000000000000000 376846599 247936622 245710915 268674940 1000000000000000000 887552573 17579669 833556419 402196632 1000000000000000000 412166965 25546862 343915025 328717353 1000000000000000000 988438828 360238009 343733055 478859571 1000000000000000000 735491795 623241686 584390031 182683132 1000000000000000000 170446839 61906320 69623348 54780652 1000000000000000000 746301544 355477795 299897747 384887608 1000000000000000000 581265069 553972084 116499605 326084467 1000000000000000000 875024054 115110190 669414917 812826005 1000000000000000000 359621294 201326627 153233912 182407811 1000000000000000000 415442185 96776624 99273348 60958316 1000000000000000000 98698979 19999890 58598506 87668244 1000000000000000000 714762124 146843964 125457359 113907573 1000000000000000000 62763578 21814531 14514777 30078251 1000000000000000000 886129033 807076123 133748976 619127844 1000000000000000000 290004584 284301210 227419922 183152918 1000000000000000000 166051886 32466952 50023790 149056823 1000000000000000000 109749988 27604840 103036331 85835189 1000000000000000000 657753641 430559657 162922704 102174129 1000000000000000000 559885004 139172056 309130650 234247767 1000000000000000000 5835779 377083 4691356 374989 1000000000000000000 736886747 169129193 615707443 353232012 1000000000000000000 697708693 675806270 241846463 244372813 1000000000000000000 778685151 446453184 92315442 692281393 1000000000000000000 788729662 368213502 353798446 745249445 1000000000000000000 583997284 371583064 411785846 408552736 1000000000000000000 427630749 282007462 28896283 272371639 1000000000000000000 898811894 159402705 368309144 369436624 1000000000000000000 733164375 118281132 525331820 705105 1000000000000000000 792858461 549131224 491482237 16792244 1000000000000000000 759250351 674235861 43547358 6197416 1000000000000000000 334800440 315019215 277729726 181204304 1000000000000000000 454490783 409469069 363435334 303308306 1000000000000000000 641363661 593508729 314024286 639225404 1000000000000000000 623580773 414455807 224022519 11270320 1000000000000000000 971206992 469163373 872424975 429774272 1000000000000000000 499707704 204720709 301053481 189300489 1000000000000000000 948595273 620218565 643882973 832097693 1000000000000000000 26028626 8626087 8910338 20403282 1000000000000000000 981294600 586643515 422199801 578683596 1000000000000000000 302531159 289092682 161705897 111528453 1000000000000000000 918150044 590711401 173392425 636827408 1000000000000000000 319201951 12799182 102633938 104443582 1000000000000000000 29972331 5710837 24403821 20184590 1000000000000000000 160085947 68676648 5877227 103120950 1000000000000000000 963467923 768005477 333699834 897294971 1000000000000000000 837917076 667174118 792025107 65332274 1000000000000000000 618377837 463850899 490299330 465973750 1000000000000000000 680265562 595126891 213524299 249642183 1000000000000000000 935941523 773268506 686371786 646237509 1000000000000000000 913924023 830787802 772492074 3851573 1000000000000000000 495239803 431297351 361655711 132622547 1000000000000000000 570322568 543559488 284716056 28727568 1000000000000000000 491324778 371978086 200552226 118740977 1000000000000000000 611725759 106844547 246808138 591811957 1000000000000000000 246834025 15203226 7038038 133704155 1000000000000000000 695864624 462844496 537680615 598376418 1000000000000000000 876770352 301000747 3902409 152280345 1000000000000000000 970254163 364145680 335749278 962337532 1000000000000000000 461258756 422581166 12560204 239039972 1000000000000000000 690473062 571758486 205487055 171170206 1000000000000000000 59384930 32117204 944693 50020489 1000000000000000000 146143701 93901203 141376309 113442301 1000000000000000000 460340948 395379712 122351640 152501883 1000000000000000000 636531767 185692447 399602301 256663180 1000000000000000000 852605754 205821127 594627760 34267838 1000000000000000000 404976110 97399213 126030410 352195355 1000000000000000000 138676642 81663996 30425668 54692586 1000000000000000000 93235917 30968232 15397702 39050483 1000000000000000000 348212161 269986257 308494812 36475331 1000000000000000000 53618378 6838657 40827871 12178784 1000000000000000000 771238263 369618066 646264501 409523411 1000000000000000000 344679364 93196187 260279061 267714853 1000000000000000000 77944567 59258909 1046861 53824418 1000000000000000000 139838530 31521209 117460956 46713000 1000000000000000000 810248606 556773640 206653085 286762338 1000000000000000000 164794334 49689025 44770450 25476857 1000000000000000000 832002119 293709709 696149499 140327318 1000000000000000000 956888468 690182073 348870753 851437029 1000000000000000000 625570230 498869400 344827734 309652178 1000000000000000000 632697307 116414018 287947120 539668074 1000000000000000000 376185616 362472980 3345890 330137909 1000000000000000000 234671420 104417506 213763719 112681088 1000000000000000000 473052472 269703548 334804932 302512826 1000000000000000000 58001826 5280715 49631781 44256407 1000000000000000000 277816738 38660641 267002358 76402145 1000000000000000000 849403856 547340114 204570754 123339025 1000000000000000000 290228415 44277420 56912798 212400987 1000000000000000000 49129443 7246334 42948107 1089338 1000000000000000000 548974688 27067438 266790407 409275602 1000000000000000000 186091794 117234843 137319099 74880989 1000000000000000000 17706144 10828100 720464 17468937 1000000000000000000 730239858 342623288 171306944 215198402 1000000000000000000 728724696 511451362 375247512 179795116 1000000000000000000 621334916 266078986 339752885 587163384 1000000000000000000 163700719 110870431 126362433 81363745 1000000000000000000 167408297 141352468 132980871 147963470 1000000000000000000 418678140 205632511 327497918 204092058 1000000000000000000 633669573 7189654 170600495 79921404 1000000000000000000 223632624 120311360 85721701 24971415 1000000000000000000 899044451 559290941 708810627 835518586 1000000000000000000 603906185 246553992 476553001 483779801 1000000000000000000 934220273 696655545 455579337 683991766 1000000000000000000 246460309 222189022 28912743 194734863 1000000000000000000 237672408 23207576 169885495 140658091 1000000000000000000 108644268 36060087 58039530 658882 1000000000000000000 467828330 207683808 398974599 199314996 1000000000000000000 862570571 725152239 469066758 584769506 1000000000000000000 238065886 1391739 22925784 154963704 1000000000000000000 616283264 98137859 430918048 222423587 1000000000000000000 11681521 7832741 11511835 4122838 1000000000000000000 542500256 360506300 511256579 46848381 1000000000000000000 607484273 290973872 345671975 542017928 1000000000000000000 326808869 94248101 29542979 94779043 1000000000000000000 123504765 122190665 24297213 85806773 1000000000000000000 386234266 285290865 377508983 246177071 1000000000000000000 547708399 168439002 434563194 225072625 1000000000000000000 638920060 501156076 14507254 377865322 1000000000000000000 626728069 251761714 612080037 313900892 1000000000000000000 107019308 58640675 104351203 44371073 1000000000000000000 813974945 459885375 181243993 624956796 1000000000000000000 625891476 570042065 442401326 227369135 1000000000000000000 874607027 122851750 642925888 261840876 1000000000000000000 9759040 6000231 7458251 7564317 1000000000000000000 100697223 74646028 86970480 91906869 1000000000000000000 168949109 148426713 168125653 79685398 1000000000000000000 586568819 481940646 549628573 579637703 1000000000000000000 552118887 356702807 186919323 158820155 1000000000000000000 34823857 28786649 27926419 13948026 1000000000000000000 845737637 54203293 343555968 666544102 1000000000000000000 282163556 264298691 78456690 59386326 1000000000000000000 913588998 325967085 39803999 468839750 1000000000000000000 515309967 189438645 397911060 188816495 1000000000000000000 454429616 51047884 86994466 179341177 1000000000000000000 919851343 514203546 36251129 453011274 1000000000000000000 534816137 373172295 95870112 189280891 1000000000000000000 757700250 492165582 366261901 169545996 1000000000000000000 306303042 41921819 92752206 200914407 1000000000000000000 822505286 411771531 802205898 602288165 1000000000000000000 904219300 531395523 741268137 359945074 1000000000000000000 62187059 16764856 34122083 50480891 1000000000000000000 734765986 346157396 707722143 727614429 1000000000000000000 575851993 175850644 567818832 195239629 1000000000000000000 162825922 47399155 137440611 8345223 1000000000000000000 847192118 834149557 228201661 323886542 1000000000000000000 676946310 35323939 33685393 551205639 1000000000000000000 209380660 13285290 15645655 178301039 1000000000000000000 706869485 272791545 482714832 9251218 1000000000000000000 257778931 175625310 7426354 25626097 1000000000000000000 849090949 669366600 534433744 85736736 1000000000000000000 282238547 252775453 89014558 159095298 1000000000000000000 545538621 245057803 262979453 284306328 1000000000000000000 875641712 762364646 227432051 244952120 1000000000000000000 189478252 52911173 82578784 177257072 1000000000000000000 337170259 193889563 60930531 270945627 1000000000000000000 969079039 241681439 535859224 671042569 1000000000000000000 810679062 88057845 747004090 524010970 1000000000000000000 737142162 229264832 447007698 327105271 1000000000000000000 749358684 101172233 532333184 37742718 1000000000000000000 91392408 32324204 42497431 34400955 1000000000000000000 214386971 112008473 61518199 211451675 1000000000000000000 36126520 32203928 22671121 8741430 1000000000000000000 914854224 35286058 585139704 435672725 1000000000000000000 583642594 119946493 1664434 296042361 1000000000000000000 926792238 151716879 80304618 503592748 1000000000000000000 750237026 260006344 232452504 725095559 1000000000000000000 751510460 565536543 633396702 489153410 1000000000000000000 835343220 471619007 453396754 799291839 1000000000000000000 925971772 854250520 61553342 783083809 1000000000000000000 173258466 49159598 150159947 171113918 1000000000000000000 806654551 557974586 191390543 71843087 1000000000000000000 403926563 326465243 39696833 308008811 1000000000000000000 206079594 57204707 120181569 4656462 1000000000000000000 76442440 23733118 16641002 37271154 1000000000000000000 295019534 116787301 104155740 220158168 1000000000000000000 784123029 561182395 344166059 724743712 1000000000000000000 534405561 428116255 169761104 8530369 1000000000000000000 206820048 14962367 141821462 157009505 1000000000000000000 208051113 82112602 139694538 44562177 1000000000000000000 716411674 685433316 359298876 119165335 1000000000000000000 435201130 398448652 206088207 185943135 1000000000000000000 398650271 106932426 297962113 6581133 1000000000000000000 939163580 142929543 68016942 98929869 1000000000000000000 707610564 308046231 120021573 1793988 1000000000000000000 334127377 232958453 93866854 165507833 1000000000000000000 202747066 149658586 64524601 141587041 1000000000000000000 344356005 262664100 31944102 320466100 1000000000000000000 87992828 5193404 46575479 48344077 1000000000000000000 974915021 329956760 220196084 486417731 1000000000000000000 369335107 22166278 352897686 341742236 1000000000000000000 743921707 75035201 156766027 345707626 1000000000000000000 684023915 452408375 474309209 259714330 1000000000000000000 153577098 133239196 18664459 91825117 1000000000000000000 674864413 355120646 60518781 30386769 1000000000000000000 486290844 393620346 325014198 372096961 1000000000000000000 526669206 189176408 62312241 210626922 1000000000000000000 309886184 144435308 38999665 181765951 1000000000000000000 99696263 84163620 75910296 88071178 1000000000000000000 588457859 349064159 250321915 93874774 1000000000000000000 552685338 162237123 431257005 129240043 1000000000000000000 436404292 263720917 87885984 226992007 1000000000000000000 275212845 48007845 95903915 216059124 1000000000000000000 735099351 670721996 247201705 132003350 1000000000000000000 497777592 277588744 83749480 302423971 1000000000000000000 181576886 62338527 43081721 79905592 1000000000000000000 78990164 46577858 53287137 2817200 1000000000000000000 897064422 252296009 512677835 704556641 1000000000000000000 272656271 18760256 39446195 205317525 1000000000000000000 859679488 142345556 343073377 161025603 1000000000000000000 671836503 497526236 303907843 332935540 1000000000000000000 689321985 365043730 258755643 311814403 1000000000000000000 570454723 76671038 387610012 483456512 1000000000000000000 56399101 53697597 39702466 44456367 1000000000000000000 431669808 160855794 8427714 306837433 1000000000000000000 819713031 199910856 395151207 221597705 1000000000000000000 893977273 548234040 594904146 290342844 1000000000000000000 642858213 541486011 205599699 309510409 1000000000000000000 173599579 29514268 97463577 62898046 1000000000000000000 366139109 266630236 363154030 322839355 1000000000000000000 297640030 123125262 159344831 273626897 1000000000000000000 993899690 730700497 509865837 846181299 1000000000000000000 146867551 132219783 44047941 17583092 1000000000000000000 721113609 636891018 578841781 466339845 1000000000000000000 807893314 552581628 566421927 483352241 1000000000000000000 246581128 156694795 143420934 129675330 1000000000000000000 374269271 284199904 14673390 262341815 1000000000000000000 382373384 193528854 128720705 50805737 1000000000000000000 879423106 641857292 626149298 424741348 1000000000000000000 292340941 155698590 273975104 264235606 1000000000000000000 992681278 231185892 983590828 500694992 1000000000000000000 820918565 624070577 187034832 82363943 1000000000000000000 494585886 350378219 101087501 338442 1000000000000000000 210309932 116194287 35410582 151275544 1000000000000000000 65611380 50600444 54210520 48637246 1000000000000000000 591801370 559811943 369969461 208198351 1000000000000000000 680867032 866209 475532122 451901525 1000000000000000000 599719698 430584901 35324786 521392550 1000000000000000000 121213363 89363961 27080611 16070814 1000000000000000000 375176782 364006194 339515359 104997556 1000000000000000000 467495258 245515126 376043954 340857849 1000000000000000000 797292136 537518095 790522664 781210709 1000000000000000000 152128068 49063828 143842437 84757561 1000000000000000000 411515895 78375356 234965653 349605933 1000000000000000000 54092565 7313277 6157651 13045818 1000000000000000000 85250405 78500494 75685439 79284886 1000000000000000000 372857108 313846123 123755734 154417492 1000000000000000000 14882137 6856032 625282 12577813 1000000000000000000 266431887 181846629 15450113 104742580 1000000000000000000 212000496 116651473 13953907 106584866 1000000000000000000 606090063 255042311 16271688 386828448 1000000000000000000 378648784 36821715 287826810 68968528 1000000000000000000 324249588 156229957 303723054 161768638 1000000000000000000 221975054 113127843 209818435 97529903 1000000000000000000 651878499 644833960 223131087 630644291 1000000000000000000 174508807 16432277 166672499 109828522 1000000000000000000 238914592 212088291 74125925 166326999 1000000000000000000 400654492 388821391 244755015 218915982 1000000000000000000 353714568 163958200 292698419 136792704 1000000000000000000 617845832 187873726 534017179 81177404 1000000000000000000 245174526 187074733 218670946 117072359 1000000000000000000 279228027 231265234 25312533 6772488 1000000000000000000 358438510 49138441 28583806 162857864 1000000000000000000 27182767 794381 5592257 24638791 1000000000000000000 379427266 173104895 208401172 95671590 1000000000000000000 624889805 576660231 274718252 310133348 1000000000000000000 831067798 21213446 744170126 799265787 1000000000000000000 385351785 226693154 20980590 127868687 1000000000000000000 134969121 79046806 767319 96369666 1000000000000000000 520297817 156848086 281104636 221328821 1000000000000000000 913782177 305589896 410226055 315479926 1000000000000000000 822431481 642450476 182252060 418345240 1000000000000000000 223414137 197445943 160720389 162855746 1000000000000000000 702607065 656150504 345071411 507298708 1000000000000000000 286996667 5918401 124275103 216943361 1000000000000000000 787813986 434838674 323147425 430846535 1000000000000000000 633313524 399781453 449680084 313235757 1000000000000000000 846201209 296272480 307995980 385434194 1000000000000000000 19080085 7926910 17554953 12562584 1000000000000000000 244058564 107410757 35277594 159738601 1000000000000000000 480652774 351117211 170622871 369092571 1000000000000000000 473231597 293568903 315878705 325824737 1000000000000000000 199620737 121689847 173955657 132761157 1000000000000000000 528003705 57020195 483210829 34784184 1000000000000000000 849682831 609906161 721442265 361776741 1000000000000000000 474869875 440129021 78977778 140572044 1000000000000000000 787437154 541754875 484077670 779774679 1000000000000000000 114320240 43035731 2172207 91541010 1000000000000000000 328379008 232993232 50184551 133663566 1000000000000000000 174792754 63585326 31688278 121560794 1000000000000000000 621200510 213146797 369710297 128830218 1000000000000000000 892572575 733837519 543917910 833027100 1000000000000000000 481137571 140807566 231571080 176211266 1000000000000000000 927777848 224295590 645937532 145418512 1000000000000000000 478309634 473775597 283776344 194529381 1000000000000000000 582866546 219287764 472790951 192156813 1000000000000000000 430412847 273727345 340486151 289133371 1000000000000000000 952822285 768024761 543372005 469045006 1000000000000000000 999708412 793171815 551681333 62568448 1000000000000000000 112021018 46961881 97033919 100139870 1000000000000000000 967228613 877411378 497843264 883594285 1000000000000000000 420849191 34915146 20422851 95813846 1000000000000000000 342936978 262775037 25244544 211749440 1000000000000000000 681310467 291382847 527495170 531433825 1000000000000000000 608384911 324840635 436190531 504220858 1000000000000000000 534841983 48674798 526086912 245398661 1000000000000000000 534632832 193072640 336677124 428113576 1000000000000000000 181223228 17595492 60657359 116234259 1000000000000000000 505327317 279994607 126784860 377222980 1000000000000000000 61216536 6364521 42966923 57680590 1000000000000000000 549563765 318854909 52033616 487659715 1000000000000000000 542430999 485990566 184199327 318732630 1000000000000000000 72695435 27200215 68861279 42945381 1000000000000000000 109936187 98020666 54634885 48617215 1000000000000000000 294255397 233167795 168587317 14384813 1000000000000000000 544624769 527169714 418824042 86927297 1000000000000000000 982022615 742600974 374473825 574397835 1000000000000000000 383488726 140821373 355317482 115777049 1000000000000000000 606168442 407391 40218699 583021504 1000000000000000000 537988508 302282828 223148003 457922303 1000000000000000000 334872634 220098201 79492552 57520509 1000000000000000000 346092717 74026253 126744062 136855565 1000000000000000000 322895699 159277153 80660468 93305445 1000000000000000000 789031712 678831858 445415051 421693079 1000000000000000000 874092062 668441502 1556462 450003435 1000000000000000000 696116685 443770811 102916787 85050781 1000000000000000000 920960468 104311832 52538378 631014487 1000000000000000000 522240290 128799267 518422776 401578649 1000000000000000000 209074514 203449131 60285652 149135737 1000000000000000000 393263874 181532788 332817514 133658984 1000000000000000000 205943222 35003822 7628655 46227603 1000000000000000000 497741686 120616414 201852523 61950018 1000000000000000000 934519613 225822936 190472433 864361813 1000000000000000000 739447537 451081583 376235845 333299487 1000000000000000000 687307805 54185059 275923356 171687827 1000000000000000000 802524482 95288690 484278534 781217280 1000000000000000000 489264677 218921510 117036363 126523716 1000000000000000000 837742616 609233903 264361180 680054180 1000000000000000000 183790434 58995665 94030587 141762882 1000000000000000000 908823781 785594444 338942351 595467843 1000000000000000000 12877812 5555040 4494938 12731987 1000000000000000000 927928114 139649042 468019058 830223809 1000000000000000000 888808699 277343986 190821247 696347435 1000000000000000000 831597617 81403061 11646925 812115626 1000000000000000000 306944162 212293250 86056570 16280425 1000000000000000000 98403841 54538380 25534648 40404580 1000000000000000000 605274984 44980880 70905275 561694650 1000000000000000000 899530808 185650772 858742034 399371932 1000000000000000000 134525845 97082241 27183157 75269538 1000000000000000000 413238108 403993301 68514431 348789151 1000000000000000000 284134165 195482245 62931583 209156438 1000000000000000000 959592733 783781546 32572007 141544663 1000000000000000000 561245939 388848272 509984962 173286739 1000000000000000000 458489417 436594040 248639983 337519373 1000000000000000000 567515296 408168669 472961882 194415438 1000000000000000000 989134501 685415848 92003924 306685027 1000000000000000000 886613841 590911531 544174576 146666710 1000000000000000000 880216942 113042586 610610114 496156621 1000000000000000000 915496121 623944324 317687146 311096622 1000000000000000000 755048132 365379693 14507498 634208739 1000000000000000000 547321560 460263979 159212358 448534173 1000000000000000000 136620302 22090734 70197982 130195131 1000000000000000000 8875360 6148469 6121754 4741810 1000000000000000000 624993445 423772052 179494075 203863389 1000000000000000000 152725638 81166313 89422019 121301438 1000000000000000000 423439342 41233554 197872739 322077675 1000000000000000000 364144687 120543565 188934533 45462614 1000000000000000000 685406009 225610219 607873000 352027467 1000000000000000000 590617344 229696292 174257525 459702898 1000000000000000000 6729154 4170671 6711143 746729 1000000000000000000 227013846 37191375 117921185 106729544 1000000000000000000 237521636 135759935 364592 116535742 1000000000000000000 151782411 76910724 128756727 34568051 1000000000000000000 180158119 41755951 150208103 65535269 1000000000000000000 85655493 28046002 78777191 75293890 1000000000000000000 307760001 25992087 127641764 42561016 1000000000000000000 857571241 422598331 783414355 624757139 1000000000000000000 690204925 373511684 171573646 122761617 1000000000000000000 152457107 32041844 116804452 131440903 1000000000000000000 999286554 478396241 950096123 188372783 1000000000000000000 871029777 37561364 434174234 755380568 1000000000000000000 176617877 133872972 176216789 47759924 1000000000000000000 851984550 346111552 762449647 346601385 1000000000000000000 609045893 35277086 230262503 550187606 1000000000000000000 61348496 41903327 16007318 14861930 1000000000000000000 182494524 52228610 110811846 13928383 1000000000000000000 150679848 36939345 141518425 1639176 1000000000000000000 938060448 639516622 307197867 334429098 1000000000000000000 194025020 123825299 102262271 39364626 1000000000000000000 401325061 380836095 39071794 302946767 1000000000000000000 158215045 91277832 76312302 63794950 1000000000000000000 927836366 148947387 560793925 335711361 1000000000000000000 343997987 115790142 294603698 284136182 1000000000000000000 577118612 8424603 85731419 96461599 1000000000000000000 427661336 147807895 110982918 337532112 1000000000000000000 798378761 656732636 33006112 488856631 1000000000000000000 953820655 749567774 276160534 473908094 1000000000000000000 482428208 400250038 100324912 461170815 1000000000000000000 786398676 108828000 555683023 4622933 1000000000000000000 155121112 83471543 143029757 111080764 1000000000000000000 496415656 253746287 181292909 401035583 1000000000000000000 45323295 10513592 22372816 21294366 1000000000000000000 957999924 244682795 647705824 507949912 1000000000000000000 540344315 277747567 359514288 327787606 1000000000000000000 575179420 33995739 268423059 390139450 1000000000000000000 990445187 195898886 267082687 379540765 1000000000000000000 409056775 139902592 4317130 28267926 1000000000000000000 799759532 541842442 355399581 480847646 1000000000000000000 892634189 752602480 247824273 355460415 1000000000000000000 683584404 352743088 270365294 172509287 1000000000000000000 524042475 251472281 258198978 297617722 1000000000000000000 286021969 22724226 259246237 58040834 1000000000000000000 433660876 21294245 269423933 64302307 1000000000000000000 595466319 418577436 428803595 89724504 1000000000000000000 468054069 228317133 403868227 445910049 1000000000000000000 131178137 30011284 37961679 27353530 1000000000000000000 445081019 61428088 370131020 128971533 1000000000000000000 715064999 434610548 246189607 144285646 1000000000000000000 481014796 31089514 230045749 470922422 1000000000000000000 746783328 195531962 73158265 457360818 1000000000000000000 57509128 14696503 49511760 40553655 1000000000000000000 981583362 851925784 274854993 217326167 1000000000000000000 747837927 58195079 98448492 341101992 1000000000000000000 74411779 71206204 37916614 10526301 1000000000000000000 527932265 335755311 384135225 452224803 1000000000000000000 293481032 222064325 237389381 87794076 1000000000000000000 332250311 229705356 193470547 44598800 1000000000000000000 407653329 7868957 394159996 315889270 1000000000000000000 692623139 124866001 32905924 327378025 1000000000000000000 163896696 112266930 30566484 90879795 1000000000000000000 644312402 413101558 640228936 196285230 1000000000000000000 431687900 11849059 360103315 428691423 1000000000000000000 865158615 270085538 438672396 86680455 1000000000000000000 984343038 165739250 940007359 842697451 1000000000000000000 626303705 366356967 487296102 15489911 1000000000000000000 66244678 14614361 32991512 14880747 1000000000000000000 474182579 306504874 27045587 191719065 1000000000000000000 6994664 5565637 5544536 655434 1000000000000000000 855616585 774267485 285658450 680581568 1000000000000000000 862304008 215852806 112699923 825640742 1000000000000000000 911830664 823385868 129010091 282316206 1000000000000000000 91544294 56419665 88909482 33771680 1000000000000000000 345622021 138122641 38150230 36653161 1000000000000000000 118086786 39041629 67196121 67645694 1000000000000000000 707586574 286137094 596771 287087853 1000000000000000000 890763420 68774196 328333598 297428312 1000000000000000000 357837696 195616630 39842723 302476678 1000000000000000000 283342115 177477212 129258160 37829255 1000000000000000000 344737139 118516221 42228239 21911448 1000000000000000000 264636341 185945959 55559404 192352410 1000000000000000000 533003497 483948096 452663793 220976743 1000000000000000000 432464122 101780626 51448997 115717676 1000000000000000000 757750010 28767584 390482051 327559832 1000000000000000000 144030043 18356859 102271415 130560608 1000000000000000000 430148000 386227763 90685874 326037209 1000000000000000000 375448712 75879464 176529608 19130273 1000000000000000000 979789473 892034664 961507920 318543621 1000000000000000000 326268155 245547846 155527347 207434149 1000000000000000000 987873715 393713756 127199806 171786898 1000000000000000000 409989953 213166218 301060490 29016684 1000000000000000000 198059072 56315077 51301382 196273724 1000000000000000000 947256948 212995190 516507140 702764331 1000000000000000000 840648966 688179948 697549367 273538169 1000000000000000000 765990768 205518066 255223012 512194702 1000000000000000000 232378175 83588166 99278047 168263223 1000000000000000000 185364712 15890153 75014464 184986558 1000000000000000000 825532324 703068212 1443979 813251624 1000000000000000000 640886257 509332916 131141037 275571362 1000000000000000000 890472480 633959574 837712469 845551848 1000000000000000000 414202339 194921668 355044541 38563495 1000000000000000000 448805032 44899584 283242474 243369469 1000000000000000000 250804145 223187836 132747804 218666178 1000000000000000000 986891403 856053895 22786511 186679101 1000000000000000000 551909061 210750067 322025601 39374637 1000000000000000000 553232721 73211357 441258573 261784990 1000000000000000000 770050509 114203427 629827434 685197497 1000000000000000000 492409085 474151362 489754716 14771925 1000000000000000000 44090606 33320740 2264864 32304680 1000000000000000000 440875758 325568781 224628416 194738612 1000000000000000000 841119006 486758281 315693289 557019135 1000000000000000000 9185361 856558 4161805 4778841 1000000000000000000 663563321 328619095 588882738 648534400 1000000000000000000 798362230 423757516 101334630 585041212 1000000000000000000 46925865 8871924 34297722 17107366 1000000000000000000 83145081 81055631 62568107 24813866 1000000000000000000 894058380 391213617 790733524 145253981 1000000000000000000 648318032 284559514 254269864 247521598 1000000000000000000 477029859 172738164 234292027 143559661 1000000000000000000 122005907 97266941 85854372 77472053 1000000000000000000 154305450 2586424 37586595 5138869 1000000000000000000 866046666 340545084 198563346 390020121 1000000000000000000 695666325 65081924 407888365 67791440 1000000000000000000 989981392 865033229 910698984 740315239 1000000000000000000 729669264 122884455 289907673 458613046 1000000000000000000 573087163 170274000 28212376 92270563 1000000000000000000 393700756 255938189 294803574 197564997 1000000000000000000 51836838 4434862 14271656 41381491 1000000000000000000 728916887 478023602 598379629 10225797 1000000000000000000 491643010 273344220 13469939 44057806 1000000000000000000 864136577 532788102 78440114 778038342 1000000000000000000 518803253 121104411 98375725 411322358 1000000000000000000 540213164 407242552 159031263 52435919 1000000000000000000 234710934 155863375 170315444 117073799 1000000000000000000 427210945 187590233 411832323 111861974 1000000000000000000 931252689 34900953 617343596 879428321 1000000000000000000 272751265 185110236 185516896 191769716 1000000000000000000 350457974 314041691 208618291 173600804 1000000000000000000 354554557 260941060 197363759 294365276 1000000000000000000 658461108 481262005 284693252 529408795 1000000000000000000 244646392 21438204 2754246 182040312 1000000000000000000 588770985 8869471 392565433 281183958 1000000000000000000 65727644 18649788 58180112 18735110 1000000000000000000 455917416 84130035 27736455 278109621 1000000000000000000 478336064 472627925 38277046 276091521 1000000000000000000 629632486 357432847 450984747 111412524 1000000000000000000 958244199 764508775 372076300 274212351 1000000000000000000 859216181 357313421 403952584 575072820 1000000000000000000 807761336 47385960 553377079 307117087 1000000000000000000 210992788 54768033 38585922 8449066 1000000000000000000 683892214 298720411 213957351 214081707 1000000000000000000 227133124 174056789 217884090 164234592 1000000000000000000 579585161 166111508 143584655 92750544 1000000000000000000 620994475 424320630 283095685 511091521 1000000000000000000 77868281 61006757 4236109 12344826 1000000000000000000 99300797 95115831 27045974 54900139 1000000000000000000 368829718 247002329 367078411 140619824 1000000000000000000 353547604 40913452 225056251 185333078 1000000000000000000 659503038 127576951 283870710 171540714 1000000000000000000 498034348 250209703 389689178 68736602 1000000000000000000 551449964 360103230 139194822 504148634 1000000000000000000 576974907 95049455 440740588 196337523 1000000000000000000 326886595 247397163 265738885 32240344 1000000000000000000 633102071 176741161 559694616 323252089 1000000000000000000 442608492 195329705 354369752 93078936 1000000000000000000 184567834 152627550 82154424 115379684 1000000000000000000 620539437 72413767 541595731 291929073 1000000000000000000 466548792 320504040 203932599 384400063 1000000000000000000 791998614 783280370 361084495 627316430 1000000000000000000 316098327 90615921 290687810 241016969 1000000000000000000 863509873 765634671 405814113 597469084 1000000000000000000 695542821 256821483 42143910 614763683 1000000000000000000 943820741 710392335 368041956 674160756 1000000000000000000 330221216 180371727 320449698 297607161 1000000000000000000 182041029 38011679 638154 152695936 1000000000000000000 922311264 106228552 763462281 695138324 1000000000000000000 591019916 305392941 161270786 361847333 1000000000000000000 29310900 9773719 15443259 11382518 1000000000000000000 338960629 120415587 28499165 89400739 1000000000000000000 516672706 16267255 316522417 257922632 1000000000000000000 275504496 48274879 127782718 184774030 1000000000000000000 905797114 28233812 719477452 368499803 1000000000000000000 959427077 99375155 480117896 256080192 1000000000000000000 543132786 201018943 89382851 139334875 1000000000000000000 981035997 191126581 181441743 361516683 1000000000000000000 814011471 93739192 647069728 709548990 1000000000000000000 279313051 137037656 198475340 61960171 1000000000000000000 874739781 163845369 326353676 561781779 1000000000000000000 153559291 53298412 149814585 6407639 1000000000000000000 906471376 793098123 845562686 30360732 1000000000000000000 851671829 612041582 418304988 549486181 1000000000000000000 409931314 10402538 337834086 262719889 1000000000000000000 525186034 91985225 24969052 408525237 1000000000000000000 239247670 74990 60658400 32542836 1000000000000000000 159787697 113165876 38740034 111158099 1000000000000000000 279715108 101955234 24223077 104808978 1000000000000000000 424440182 217964120 7420214 166576045 1000000000000000000 550245038 440231028 197428092 446373796 1000000000000000000 928590025 547419544 722840686 452526514 1000000000000000000 14921918 4557686 11619116 2638587 1000000000000000000 157303172 45851486 132784589 64342447 1000000000000000000 513320193 54866011 287016991 315342052 1000000000000000000 831932018 463528864 122730961 326590442 1000000000000000000 777692985 104074011 590292274 467656747 1000000000000000000 824194202 392549234 648261673 495523891 1000000000000000000 514854484 46331481 211187075 179343004 1000000000000000000 365209576 225250791 142478939 55727960 1000000000000000000 811056739 701398548 809696655 46622175 1000000000000000000 396748765 200698223 175470465 203324054 1000000000000000000 179260107 20965676 124365111 29510911 1000000000000000000 654295764 179973993 589336444 492886760 1000000000000000000 269578787 225793418 104690719 166659751 1000000000000000000 475172573 148580201 303070627 215685148 1000000000000000000 452188964 255019682 208124814 421640383 1000000000000000000 732434095 302207820 571680734 373634361 1000000000000000000 246229678 147180421 88326848 157900715 1000000000000000000 229708 84693 201759 22587 1000000000000000000 115201687 22110317 78321642 10047344 1000000000000000000 359938777 168442626 10150570 157270802 1000000000000000000 549193754 144205157 164894265 54645059 1000000000000000000 591231796 504675679 438760778 444150850 1000000000000000000 468034705 397866815 346953346 324501175 1000000000000000000 764184125 746184324 432889373 142571411 1000000000000000000 462323677 152811451 305916293 412411012 1000000000000000000 161449569 3337740 4216830 91122914 1000000000000000000 785285090 512231849 542304529 752740420 1000000000000000000 226497651 80319206 178861026 20568765 1000000000000000000 121111827 59798298 120216059 15627367 1000000000000000000 928261891 507254907 422831154 432653507 1000000000000000000 938148107 747013470 853348458 587565227 1000000000000000000 114505790 62611952 111606926 86163588 1000000000000000000 906712259 875025563 335199194 214596704 1000000000000000000 179811043 104154808 120186312 105026401 1000000000000000000 513229347 35693581 490004924 109974905 1000000000000000000 84171477 64477919 73344289 67135321 1000000000000000000 301729190 115372404 24960783 266097462 1000000000000000000 125506069 93109056 35173719 98870618 1000000000000000000 239328530 203336628 87076184 143714935 1000000000000000000 523841669 406601489 344375032 290978611 1000000000000000000 588434193 500813994 93375362 276063781 1000000000000000000 61742094 4828638 47131452 10751106 1000000000000000000 575132977 324765762 176208167 61587399 1000000000000000000 939492516 652883837 435030814 58551836 1000000000000000000 605268561 100248639 248595458 321055878 1000000000000000000 928333769 201863656 717093675 239924007 1000000000000000000 724228211 12394157 94786130 313235598 1000000000000000000 127317463 103843375 48381359 87828351 1000000000000000000 644354392 129033083 536279984 382678267 1000000000000000000 367461252 191132531 222867941 213703548 1000000000000000000 470605967 459497211 450346656 165132704 1000000000000000000 833704618 257605882 644618317 44129634 1000000000000000000 341452379 236848967 62135761 106754221 1000000000000000000 270804293 65862003 41563531 36176667 1000000000000000000 76868888 68305655 8068504 16822091 1000000000000000000 677393578 208191863 274978636 325402547 1000000000000000000 72616101 67559195 28449918 35129133 1000000000000000000 87205934 32543440 58977830 62775451 1000000000000000000 358423677 165562620 292962056 101309197 1000000000000000000 561566859 189589350 309483134 163848645 1000000000000000000 177867927 17870704 102728571 1179660 1000000000000000000 93360799 59413850 70817074 93211023 1000000000000000000 805926834 636830478 641872578 380314573 1000000000000000000 298428437 177932153 126611401 46882476 1000000000000000000 389587393 310332509 384699397 365315744 1000000000000000000 102244832 63550421 22532409 29323554 1000000000000000000 685590864 233289514 673213009 589943614 1000000000000000000 733913654 488029226 69616172 293217237 1000000000000000000 721822760 405478351 720523799 248921424 1000000000000000000 746375731 53802658 325165167 274809932 1000000000000000000 860707551 156430226 743604765 373690502 1000000000000000000 807543043 590585197 498154613 161872775 1000000000000000000 645642912 8394055 237578600 121403312 1000000000000000000 731629699 333558744 386788907 598097746 1000000000000000000 638178692 632390396 229285129 73958564 1000000000000000000 756916470 383091377 56198546 61209557 1000000000000000000 108724335 18162395 44957388 5855953 1000000000000000000 96123760 14969828 86143477 94733307 1000000000000000000 490857587 260660598 51460963 228053804 1000000000000000000 263300587 13589662 137903197 157726554 1000000000000000000 149322483 80511029 117402261 85978054 1000000000000000000 468109912 43301476 72798378 197479297 1000000000000000000 91370566 25448643 6749594 51295340 1000000000000000000 809807702 125925161 790921606 624728916 1000000000000000000 981363075 383831497 490812721 420112223 1000000000000000000 169459132 156345815 142052155 36903706 1000000000000000000 242142751 129978051 112451660 105572107 1000000000000000000 617749559 49170906 366167248 307017362 1000000000000000000 222654774 123717693 14009819 151643211 1000000000000000000 527325265 346390587 478715123 134480512 1000000000000000000 463676156 149841601 273338020 140630060 1000000000000000000 637584807 133529331 30480331 471296909 1000000000000000000 169077616 98142355 85513257 63401935 1000000000000000000 530443421 17446386 307227751 429196085 1000000000000000000 555701868 280354597 144415018 166596876 1000000000000000000 289415846 229883731 73642873 204550078 1000000000000000000 697560738 359692776 436856942 664142752 1000000000000000000 280362848 124450241 126501169 188195597 1000000000000000000 654339487 314638993 339636187 126981167 1000000000000000000 576620168 156905149 4856929 260102746 1000000000000000000 853595445 437106405 501238888 326144695 1000000000000000000 419924518 336594393 294637114 152702183 1000000000000000000 260428639 104670898 137614808 59019615 1000000000000000000 845607710 370345531 790466370 384922279 1000000000000000000 756013499 633207593 627213157 711636154 1000000000000000000 32407039 12178589 18015587 5216773 1000000000000000000 398403969 374939093 202708620 25860719 1000000000000000000 45709555 16320428 15919584 31675125 1000000000000000000 222183642 76987571 14788922 185082378 1000000000000000000 180050353 80982182 24301363 126697157 1000000000000000000 868867699 778917967 54794598 520944182 1000000000000000000 761965468 643377493 569590864 350790488 1000000000000000000 562672367 76988981 28504986 110451417 1000000000000000000 88869599 66506271 75353715 87261786 1000000000000000000 746169095 726459582 452495534 390858036 1000000000000000000 970811639 679344830 929136031 228914698 1000000000000000000 221617766 66122748 118946384 175165694 1000000000000000000 525831110 219187247 69248249 461847945 1000000000000000000 353628050 269549826 130407718 55168656 1000000000000000000 291324047 203792705 12153078 109847832 1000000000000000000 968812152 625537558 685550323 76822781 1000000000000000000 134910010 105139358 89470980 18057834 1000000000000000000 700585027 301454211 148752450 363645575 1000000000000000000 918164415 23332520 348944335 169134845 1000000000000000000 93793483 560157 40377537 29970017 1000000000000000000 234358382 228210559 111479043 206857314 1000000000000000000 395393119 124026589 375342096 90632347 1000000000000000000 819885628 608223126 597206804 48872222 1000000000000000000 216416654 129900998 145439961 12404166 1000000000000000000 562023637 256159675 555941482 343545802 1000000000000000000 883266865 280155829 483311003 85755675 1000000000000000000 558415967 122121586 404167353 538399293 1000000000000000000 353203283 127917853 227571795 173688821 1000000000000000000 676825441 655172506 343238323 649044554 1000000000000000000 814778899 324899432 148436266 811120897 1000000000000000000 98261637 74848287 30885298 58589912 1000000000000000000 695943339 498782702 609013723 583096210 1000000000000000000 647627736 394530516 69741311 166672399 1000000000000000000 553394779 338899338 19366428 12513077 1000000000000000000 152790907 54857653 13128114 59358452 1000000000000000000 34269177 4313091 5547462 14864289 1000000000000000000 243040977 194938084 192939209 158330864 1000000000000000000 86751460 33957225 24008345 85429513 1000000000000000000 337187306 190690821 115751877 109959980 1000000000000000000 61221230 44626389 59820809 696050 1000000000000000000 749666397 31711077 50411639 186877122 1000000000000000000 519107579 258971821 178258373 489762147 1000000000000000000 770139843 190832164 353986093 171631968 1000000000000000000 662131036 59398741 549029640 606739562 1000000000000000000 617238656 364093876 475525711 534718953 1000000000000000000 566601366 273940604 518501931 467683891 1000000000000000000 740219342 564713579 57109933 126764029 1000000000000000000 322641489 168201837 241691552 139311651 1000000000000000000 926523822 205032158 629987467 455946910 1000000000000000000 264812573 167629748 191231703 106502089 1000000000000000000 816744432 421155916 668689237 109839460 1000000000000000000 313421716 123399542 49288459 148375382 1000000000000000000 320129969 90425980 264673411 205800167 1000000000000000000 421114977 107677713 245503783 322293642 1000000000000000000 311171571 275379150 140749042 305893810 1000000000000000000 710726630 683261434 666897576 691721635 1000000000000000000 87990652 83748584 71271377 49762944 1000000000000000000 597873704 37655295 241083625 235521381 1000000000000000000 270251960 123796871 265549671 3706467 1000000000000000000 496269789 252265042 319640053 229738086 1000000000000000000 466238675 268514719 75009284 67700934 1000000000000000000 461368579 310861339 263421026 232321585 1000000000000000000 325549862 19946178 42014871 268675746 1000000000000000000 227272490 29010460 84689365 28744616 1000000000000000000 31931014 30677565 8549928 17931689 1000000000000000000 667511682 231789830 163512590 337945313 1000000000000000000 897627980 708957537 32769354 284302706 1000000000000000000 616153702 533128132 833405 256379417 1000000000000000000 539658204 337979434 381496255 204802623 1000000000000000000 388932108 274830732 21432967 252543857 1000000000000000000 789185113 670006870 199886198 355345890 1000000000000000000 898917706 479458431 754521560 747901912 1000000000000000000 842330160 693738897 563076084 697122213 1000000000000000000 719901851 254968939 481991539 118680485 1000000000000000000 174058471 122926901 34399223 168129897 1000000000000000000 142481421 92525390 17793540 73462125 1000000000000000000 447092406 91531596 255227314 376805001 1000000000000000000 133761658 68855558 62957542 44319431 1000000000000000000 96225752 94425204 60150831 85988010 1000000000000000000 979483030 416870942 309726809 196645047 1000000000000000000 425110524 113177921 225084902 229869575 1000000000000000000 659122928 623084468 597031061 86735164 1000000000000000000 995804094 759045516 893170957 607224311 1000000000000000000 371852902 272208865 94313519 240978319 1000000000000000000 733940220 723449221 628665966 141165934 1000000000000000000 775174033 391975789 724463286 391598398 1000000000000000000 836573383 539782907 131094107 505308982 1000000000000000000 313652542 89072982 246674402 124193295 1000000000000000000 328882495 74093879 130744279 67517139 1000000000000000000 802993874 416889967 138554525 196428666 1000000000000000000 785659935 630058767 73163740 592249392 1000000000000000000 882918658 287875711 164673302 476273117 1000000000000000000 107186563 57022195 49190966 13702025 1000000000000000000 144444690 36987145 5984879 75371051 1000000000000000000 708383979 195634383 186708781 641906029 1000000000000000000 60333429 47050625 12971555 20765696 1000000000000000000 996728921 137179324 768809913 382447036 1000000000000000000 677727198 129675669 295029173 538548391 1000000000000000000 747858380 705032844 745220236 321070245 1000000000000000000 306330610 202811426 275094800 299785120 1000000000000000000 457278029 237951586 155146838 254800555 1000000000000000000 168485435 27362208 95547890 114190741 1000000000000000000 365962139 149315558 76735217 140275705 1000000000000000000 607515211 48244788 311178512 153975968 1000000000000000000 238153224 200966915 79353138 110767431 1000000000000000000 20847140 7201354 4968112 5829676 1000000000000000000 17167467 13588067 5894797 9698258 1000000000000000000 718337911 358778477 290914553 596469163 1000000000000000000 274306069 40356988 175763704 39901418 1000000000000000000 344706518 234967514 213117919 305017936 1000000000000000000 338950653 218798919 32652185 727970 1000000000000000000 589857825 49960582 528359391 568594166 1000000000000000000 245681333 80446929 68507556 63908511 1000000000000000000 830351664 641101266 746234966 334134064 1000000000000000000 477713868 194460320 30708341 115552079 1000000000000000000 157707110 136586353 59124814 30602972 1000000000000000000 36309470 26541922 21906395 28137505 1000000000000000000 423300258 180801794 33810760 271840237 1000000000000000000 212881310 40671873 4638038 130988221 1000000000000000000 300997820 226445168 257187209 245406469 1000000000000000000 247418007 232741621 197570185 237777888 1000000000000000000 445039501 423537614 339872498 51417184 1000000000000000000 196112800 17298737 161280773 67984596 1000000000000000000 695790819 511030462 195214317 674766828 1000000000000000000 415326463 213422029 381171720 222392440 1000000000000000000 152757933 35684295 51554464 70180562 1000000000000000000 612396559 486288548 458380271 475648827 1000000000000000000 47197014 15244722 30047589 4642783 1000000000000000000 981600153 718692710 654868117 913335236 1000000000000000000 170968986 29166497 110870375 165874439 1000000000000000000 168831520 51187584 77912763 45248517 1000000000000000000 896432496 251331361 572426209 555749517 1000000000000000000 400991772 352975868 81317057 103399409 1000000000000000000 797467316 504693746 116081971 84807710 1000000000000000000 503586796 386476331 124978911 230543584 1000000000000000000 754701004 228171711 587319315 675371029 1000000000000000000 934101381 702553652 223060624 290637295 1000000000000000000 995358318 802715489 901078253 10078817 1000000000000000000 393139831 248579230 1939421 385012012 1000000000000000000 75772716 9748650 15001821 67078385 1000000000000000000 558722069 175151967 473608924 16718130 1000000000000000000 20094807 6656718 18727522 9664064 1000000000000000000 25902681 623400 23218495 17059783 1000000000000000000 878813180 40451222 627983356 579675132 1000000000000000000 974267395 35966162 599798837 678199547 1000000000000000000 303830019 232375435 206105770 216548633 1000000000000000000 312817900 32871262 122822873 40865872 1000000000000000000 230302063 129158568 42028710 90226356 1000000000000000000 931507216 195934795 482426177 864145668 1000000000000000000 672383119 101862127 446915870 145565314 1000000000000000000 752555812 99410763 522014055 360640103 1000000000000000000 41515108 5283368 9779646 36032962 1000000000000000000 370614742 93472925 117185856 254478606 1000000000000000000 720345018 177964201 490913336 514796896 1000000000000000000 251286171 14496417 188277117 145910125 1000000000000000000 584946334 46632932 362738810 573920849 1000000000000000000 884521956 399455266 253618862 118969046 1000000000000000000 961564977 695349753 525514333 875772358 1000000000000000000 681167767 612261765 611087860 476933921 1000000000000000000 771607080 768772145 458913130 350283916 1000000000000000000 101437028 72359415 44537902 37583932 1000000000000000000 384119845 315401625 232484481 191511970 1000000000000000000 352214820 303463284 319152889 98785985 1000000000000000000 252166637 204096489 191359336 97701973 1000000000000000000 4476142 2916701 2108829 669556 1000000000000000000 755388567 486458778 77580913 402325097 1000000000000000000 628699345 622624285 298082445 150931266 1000000000000000000 914573315 208925529 137154733 45747349 1000000000000000000 152833220 113882570 19296138 91432929 1000000000000000000 429083322 132975336 83573517 72198498 1000000000000000000 305179955 171826968 228710106 173078657 1000000000000000000 279193583 161112950 108736222 142933246 1000000000000000000 52636146 27929352 9390879 42863978 1000000000000000000 468747029 464511951 267141687 215139810 1000000000000000000 935522693 592384407 320091866 743069142 1000000000000000000 803920392 309727037 532144532 119486741 1000000000000000000 980623206 277290719 238153714 26820278 1000000000000000000 187632254 23685975 52016683 62768026 1000000000000000000 17320272 15338524 16653789 4523298 1000000000000000000 944947973 789738025 898931955 726904627 1000000000000000000 226354510 6404886 217825944 78656705 1000000000000000000 615785221 82072177 270422061 577564522 1000000000000000000 535121378 390854376 423833457 71671381 1000000000000000000 558385351 335704066 340631130 110448007 1000000000000000000 717590488 443092555 562125788 426751269 1000000000000000000 194512627 4837436 160571778 25061132 1000000000000000000 875092494 67491382 620941943 168220321 1000000000000000000 856862989 260877579 549327269 685880941 1000000000000000000 257451325 121773715 118039213 224998277 1000000000000000000 698970236 275008909 497141796 534513631 1000000000000000000 295983105 90898531 254054739 96138177 1000000000000000000 880897984 68180086 501133676 7764387 1000000000000000000 255594210 56529156 219352661 74486478 1000000000000000000 180444228 117587850 142368750 169060989 1000000000000000000 179043462 37795856 10939367 125478360 1000000000000000000 631855771 530764113 128448511 50163738 1000000000000000000 135942620 1072870 113221312 4970790 1000000000000000000 362068498 7177819 32742405 276416011 1000000000000000000 555200545 137828983 269901346 340219937 1000000000000000000 871084045 354559214 792321254 503889630 1000000000000000000 652746182 579322544 111045079 229649351 1000000000000000000 538200590 69640744 233995748 71918059 1000000000000000000 818071970 774604669 593585679 122515534 1000000000000000000 945263626 228715651 181051703 933713581 1000000000000000000 980666560 520309040 8960517 353733500 1000000000000000000 452397100 248721753 161069828 262063090 1000000000000000000 152759003 6440356 1467130 69105229 1000000000000000000 729194561 425819374 561885424 243325464 1000000000000000000 347506130 68861917 44179689 27310564 1000000000000000000 463295595 328667858 81209780 446820344 1000000000000000000 955529547 928905877 327537998 923900526 1000000000000000000 388176445 38542007 253189427 302370876 1000000000000000000 10093157 9461680 9385995 6887284 1000000000000000000 19946214 9889844 17301506 19402033 1000000000000000000 641610085 579553459 315564251 157538618 1000000000000000000 358477983 292104249 299855279 156304686 1000000000000000000 932285488 286309906 809224360 112159213 1000000000000000000 706640326 661099900 118020973 528094886 1000000000000000000 280779140 64490121 37708261 207464488 1000000000000000000 478683659 389049248 383388702 1488733 1000000000000000000 718853497 379175113 241471911 34645529 1000000000000000000 113222979 99505509 47605780 67801008 1000000000000000000 79125422 64512751 56127438 25769273 1000000000000000000 814600801 218196806 556806981 592711207 1000000000000000000 917018644 157782968 406820660 649300157 1000000000000000000 565622342 506682600 339771457 108714903 1000000000000000000 643162534 363100806 222061567 270256164 1000000000000000000 801536208 246511652 425282567 247503077 1000000000000000000 109007523 28116321 18541207 37225255 1000000000000000000 482667610 100349616 121411323 291320466 1000000000000000000 206908463 174645824 69445525 25515763 1000000000000000000 650741639 423902379 615293514 110604614 1000000000000000000 400306389 33901175 178734011 9370074 1000000000000000000 842646234 765210543 709780892 64798220 1000000000000000000 767459811 374140119 305901284 686536320 1000000000000000000 689916969 71267347 508790327 186811757 1000000000000000000 371671637 320290016 204617754 107846953 1000000000000000000 474710273 291659739 254659103 378717094 1000000000000000000 213688340 30282901 199237579 98670209 1000000000000000000 973831590 620305971 606232497 764319244 1000000000000000000 609479333 123766359 419313788 140715753 1000000000000000000 966494106 24713725 925063018 289947052 1000000000000000000 150860183 137506218 100821818 141480692 1000000000000000000 635757525 155448741 15114241 322218803 1000000000000000000 552664368 463593279 451203733 538703630 1000000000000000000 27713480 20872239 13994598 21941427 1000000000000000000 685674472 397309120 358683050 605091375 1000000000000000000 290499316 207758340 112290826 81007324 1000000000000000000 951544890 714300194 604410516 205912270 1000000000000000000 580191988 201283107 448467096 18673627 1000000000000000000 929730792 402127988 446676178 544546951 1000000000000000000 410133850 390769016 187699977 169699736 1000000000000000000 698034736 491585088 336035085 496509848 1000000000000000000 375224021 293481974 27555289 369740328 1000000000000000000 874548790 635188441 129468195 680077080 1000000000000000000 171609096 42889628 100325260 56150276 1000000000000000000 149873671 120597426 41874144 125578740 1000000000000000000 370911375 91734690 225173626 271356306 1000000000000000000 603406726 473440626 283031669 118491733 1000000000000000000 228203778 59273135 57956768 65523624 1000000000000000000 61756541 18439056 28483612 21243993 1000000000000000000 855357784 720196157 283332999 157837280 1000000000000000000 715032460 367522108 112662941 603131256 1000000000000000000 941171220 299630211 584752544 541669264 1000000000000000000 739721096 238768439 154202707 221505857 1000000000000000000 303083611 26098146 41989202 250043993 1000000000000000000 501830155 384616583 482067056 195638000 1000000000000000000 548620883 10445748 154752723 94264249 1000000000000000000 123520869 80673411 121713783 70012858 1000000000000000000 726708775 663672095 617400244 461558376 1000000000000000000 297059801 205625295 99583996 26502418 1000000000000000000 130748977 100441604 105599248 57155621 1000000000000000000 935960999 702073161 141152051 709785849 1000000000000000000 623184259 377149327 475143252 445371175 1000000000000000000 10191349 4271148 5110019 8030886 1000000000000000000 830847561 746868644 687019384 202489090 1000000000000000000 623249556 49520388 385918766 239299367 1000000000000000000 136470656 47718552 84061382 22756858 1000000000000000000 499294113 137082830 289332597 178595708 1000000000000000000 138107162 131006448 39690943 73768135 1000000000000000000 241264324 143846010 183016508 3670039 1000000000000000000 628946726 383179106 143965628 11236516 1000000000000000000 379421106 76837947 65305703 71497901 1000000000000000000 175832186 9080446 166004889 36710266 1000000000000000000 831918395 476613232 734444310 206945347 1000000000000000000 777609044 25333754 143077275 501061490 1000000000000000000 242041137 199967876 57222984 187057744 1000000000000000000 186717444 163289349 141917758 60746071 1000000000000000000 25553799 20142055 3252333 22962836 1000000000000000000 698459126 575119236 583443562 51868893 1000000000000000000 137389348 115879580 35608885 23404383 1000000000000000000 578223824 342464655 360413701 267306483 1000000000000000000 24695843 13950693 3476268 14303920 1000000000000000000 588030258 559265380 330338805 387451775 1000000000000000000 754338103 561354721 256188769 386511820 1000000000000000000 828850169 802584412 696752687 815574207 1000000000000000000 947625065 569048679 287188419 3063537 1000000000000000000 197310496 177343850 94579907 103290514 1000000000000000000 279201076 138893896 87453701 35950680 1000000000000000000 556113649 468434245 57085875 431637045 1000000000000000000 29848417 8568175 2203688 24229134 1000000000000000000 63198316 58658704 62741221 22119391 1000000000000000000 69701146 30179406 22875572 61930291 1000000000000000000 236258267 108000818 134586968 215985114 1000000000000000000 514536223 129432595 332567393 509709695 1000000000000000000 352130951 4921007 56392393 52290809 1000000000000000000 124671609 5037057 83649786 22860580 1000000000000000000 732726191 439053859 548239716 728321945 1000000000000000000 93581689 90918946 30725279 54821678 1000000000000000000 243582606 77622880 210153368 113074744 1000000000000000000 386545307 287387432 213712762 7873949 1000000000000000000 690631302 306456690 395398906 515122649 1000000000000000000 421572732 110411101 266802199 16456419 1000000000000000000 602312531 431137440 282045807 65425120 1000000000000000000 218641606 17666768 52360448 178736776 1000000000000000000 93784596 65086003 34598948 87294614 1000000000000000000 162538230 42142222 102182170 41098161 1000000000000000000 842419320 545703716 672519700 225506765 1000000000000000000 529422715 341071669 382895175 378289426 1000000000000000000 97787203 73887348 44258819 1186641 1000000000000000000 298194539 26813628 280438063 17793584 1000000000000000000 286991783 204491417 273225239 178557774 1000000000000000000 906122758 584750070 585396331 409989160 1000000000000000000 923953912 540055218 630200361 145378169 1000000000000000000 948572941 46456534 686461828 670732543 1000000000000000000 919604699 246312317 140833480 679368425 1000000000000000000 990162804 121973869 308728154 188305105 1000000000000000000 531961676 39408387 508452794 63666843 1000000000000000000 780115541 2551918 694842586 215323602 1000000000000000000 280802161 216948546 50091480 188682035 1000000000000000000 714137685 203054050 136706120 67462831 1000000000000000000 949847251 93746750 908558178 325206413 1000000000000000000 597003904 435804873 123218687 277440244 1000000000000000000 989391332 605412620 482323100 832633364 1000000000000000000 81505436 80226704 45168996 72678914 1000000000000000000 618016721 55194873 172482199 82074151 1000000000000000000 974399160 89807718 118882476 22553149 1000000000000000000 318677201 277471661 108691307 138850230 1000000000000000000 154620816 24424137 4311750 58423306 1000000000000000000 910042296 40755436 376893071 151002947 1000000000000000000 900995037 109383014 427376198 378296960 1000000000000000000 702671791 411573155 673633222 661219723 1000000000000000000 930355124 291642598 779177550 429868871 1000000000000000000 8517927 7849869 7665763 294835 1000000000000000000 171060403 130870158 17242629 151271820 1000000000000000000 150078042 40892291 96183379 64281304 1000000000000000000 837305488 444457241 779966373 55201006 1000000000000000000 185561716 17835601 91986672 161577019 1000000000000000000 898347477 469718162 152435472 57571405 1000000000000000000 20185034 5152081 788999 9263450 1000000000000000000 607101682 586659021 469358610 260830091 1000000000000000000 91172157 50112874 8165993 31542489 1000000000000000000 872081529 615135611 835392646 868756783 1000000000000000000 206649880 110816615 35114655 170270343 1000000000000000000 965019774 690154618 365834393 515559204 1000000000000000000 103482231 70499599 22912706 70067527 1000000000000000000 645554962 514793498 384565871 385865943 1000000000000000000 44407371 36234886 1942130 11250723 1000000000000000000 865843745 536590149 647891687 274730762 1000000000000000000 257475792 231619913 97787194 126634639 1000000000000000000 509702497 97466548 153544666 489618907 1000000000000000000 298498114 265744618 147743438 249191026 1000000000000000000 270212752 135412522 158319919 191399661 1000000000000000000 634627138 104903624 492897741 577541542 1000000000000000000 664987879 123846453 125465356 522542439 1000000000000000000 554938284 137983324 493195659 230425114 1000000000000000000 32577477 7993035 10711016 29595503 1000000000000000000 541238280 145728435 248657538 311223997 1000000000000000000 921713270 398597965 829418071 567257492 1000000000000000000 602826598 151550820 345516764 16862540 1000000000000000000 438790843 139865376 308342090 94405555 1000000000000000000 354322096 283717917 239426642 298941806 1000000000000000000 753457886 312595431 243298080 524741962 1000000000000000000 395816754 294880096 380167452 109084033 1000000000000000000 968927918 460310750 575934545 23094779 1000000000000000000 236033052 31257532 43148927 178087918 1000000000000000000 226778968 191440732 52321831 47010901 1000000000000000000 291299663 34842161 59694666 53808056 1000000000000000000 619693571 421153832 394437414 225933534 1000000000000000000 519891177 117557458 108419169 193644293 1000000000000000000 984827323 900197881 354897523 815876407 1000000000000000000 967268466 16994065 656034644 571494374 1000000000000000000 309140359 210482861 221096977 233586329 1000000000000000000 260520905 85134481 161118830 240909998 1000000000000000000 882978400 763483880 304300400 205927902 1000000000000000000 628792105 318077356 318030371 420744351 1000000000000000000 173959074 66213116 166991097 133253222 1000000000000000000 499560779 452666120 136837284 299827631 1000000000000000000 488311967 73046009 154872633 292485228 1000000000000000000 623957875 519700759 47923568 127219796 1000000000000000000 309452583 64353615 240306277 290312143 1000000000000000000 771757892 40981023 151430357 555204879 1000000000000000000 714438565 153717489 39389827 178867233 1000000000000000000 607439584 219837117 339873880 388308791 1000000000000000000 767546079 718643889 301501170 596034323 1000000000000000000 128037860 73010486 118376519 7999954 1000000000000000000 504925800 125756373 224622371 107414807 1000000000000000000 321224763 71542177 84797353 103130493 1000000000000000000 230446203 102073127 227805303 131902860 1000000000000000000 50695851 50694979 36219163 42410782 1000000000000000000 367300829 144610360 62170497 293119945 1000000000000000000 765604412 47641711 122447220 319605719 1000000000000000000 873318104 856504785 128770762 284284025 1000000000000000000 690839215 351887739 79818955 290751051 1000000000000000000 678309514 404389578 590133009 374750036 1000000000000000000 882420445 679755082 582850904 105428371 1000000000000000000 287401266 51250974 152949043 23734793 1000000000000000000 591065779 552806602 475874085 506048193 1000000000000000000 245569811 180294402 219303554 218025014 1000000000000000000 728594998 321047237 205333992 383895420 1000000000000000000 788158590 716641685 489598787 637291833 1000000000000000000 66558638 5170510 1436642 5258529 1000000000000000000 358256599 20897830 317692273 192390415 1000000000000000000 213946451 53820478 115571635 17894452 1000000000000000000 949289344 532012526 868751925 484534105 1000000000000000000 743746437 541229005 536182133 464007426 1000000000000000000 846995107 512524998 460852883 832837365 1000000000000000000 489830385 353320640 237766831 430471059 1000000000000000000 824170038 237557555 669973600 39862989 1000000000000000000 965704880 347746309 897504112 475049008 1000000000000000000 342065846 5794206 48679280 277564504 1000000000000000000 54115598 6262839 40352661 27959790 1000000000000000000 3487248 1516920 2352636 3238347 1000000000000000000 402270699 297586324 362089811 249932105 1000000000000000000 271969661 164488282 230874252 66814273 1000000000000000000 83542902 19138637 69804809 54158832 1000000000000000000 718969422 408289088 361406601 319367944 1000000000000000000 790639267 260255757 609345141 589507984 1000000000000000000 233380802 123780993 55925756 187790329 1000000000000000000 947058738 906378701 505529643 645537605 1000000000000000000 41327690 15131426 28803423 27618731 1000000000000000000 285014728 281849597 175178198 170503835 1000000000000000000 431675629 397751839 315997786 12191664 1000000000000000000 163351026 27159991 116463885 152640181 1000000000000000000 226016990 114677545 195566468 142468449 1000000000000000000 299662163 294747739 248012288 30843596 1000000000000000000 473523212 160284601 395397813 253913475 1000000000000000000 799078886 115878887 118073410 447328588 1000000000000000000 336255423 9797345 24702290 211925114 1000000000000000000 826588050 680609350 768233591 452231192 1000000000000000000 20883514 3595156 11424277 11477684 1000000000000000000 317029978 298770901 245296933 31920283 1000000000000000000 661142253 325339650 409094725 302229957 1000000000000000000 391243741 176831274 236453039 291607182 1000000000000000000 674317965 340017091 395841289 168425449 1000000000000000000 218984734 42094473 75766070 4387659 1000000000000000000 810902782 383335993 86642169 52504909 1000000000000000000 507908709 445502457 126172856 132913579 1000000000000000000 871458000 360108181 497232422 127879787 1000000000000000000 200509950 11165046 199202069 121729817 1000000000000000000 89495761 12225754 10242387 55674729 1000000000000000000 784995571 547430621 5748903 72116971 1000000000000000000 120754676 106632764 46796907 57171805 1000000000000000000 750917621 549938495 577965406 275254951 1000000000000000000 644591011 377494135 161459719 499206754 1000000000000000000 819052811 525314431 44921226 412901332 1000000000000000000 189862522 101835107 14401224 183970927 1000000000000000000 431645566 66667058 299777947 164421387 1000000000000000000 150157282 65434404 97564818 58207455 1000000000000000000 305050379 12584684 263141331 108982564 1000000000000000000 126647119 19048641 59515770 111801486 1000000000000000000 266818408 35517131 200933168 53546274 1000000000000000000 981649753 766571767 855800692 685997165 1000000000000000000 711116164 567390868 41933442 137669715 1000000000000000000 429140212 233832901 275815152 370327967 1000000000000000000 951969291 307006359 27792362 259196494 1000000000000000000 333873179 281013562 272950049 137142313 1000000000000000000 743343845 695835487 338015675 653437417 1000000000000000000 436312467 327414149 307803053 161479463 1000000000000000000 731106316 550500516 383689674 542096609 1000000000000000000 844821418 45624983 817592641 7779313 1000000000000000000 732244645 478619088 436682660 690161769 1000000000000000000 187812556 168946687 159230975 186833159 1000000000000000000 401985774 17831842 170910363 279580839 1000000000000000000 293436833 275170751 18879800 264752272 1000000000000000000 75782257 26866707 38510582 58434068 1000000000000000000 850885537 322549016 433477521 765647533 1000000000000000000 352013859 261696201 341204475 74481557 1000000000000000000 965367144 125850252 464733656 403622488 1000000000000000000 468560095 73676728 348881006 234034647 1000000000000000000 281794670 140160205 248271551 67270837 1000000000000000000 858481419 856704890 142038553 412394218 1000000000000000000 985195439 521898906 854323472 940406400 1000000000000000000 904523163 432530279 654797267 138512419 1000000000000000000 779605353 220536560 165450178 495611617 1000000000000000000 357201430 71753628 273879277 151155249 1000000000000000000 588061447 328617226 472939595 576619106 1000000000000000000 741453427 13936764 218489024 353619580 1000000000000000000 402162011 211751711 160963718 188550496 1000000000000000000 617443120 615352581 365901474 373940751 1000000000000000000 918167695 812177452 415948950 719580082 1000000000000000000 40569804 10893420 34680868 31704397 1000000000000000000 66063724 10511794 18518176 45259319 1000000000000000000 663567350 268729827 473339325 86008569 1000000000000000000 294609805 154455711 249141517 82312805 1000000000000000000 930971413 96213835 866530486 617012288 1000000000000000000 566869190 134443165 273360381 506006393 1000000000000000000 178449143 40865826 3664387 123249326 1000000000000000000 909797685 810137685 5389448 809095424 1000000000000000000 790495060 132882939 303022141 680044535 1000000000000000000 749622877 10417906 269936523 658229711 1000000000000000000 15041873 12487097 11983751 7401475 1000000000000000000 977576760 293914636 199697615 586666512 1000000000000000000 747861283 58876229 40458608 302314640 1000000000000000000 6271869 4022578 3289730 3830364 1000000000000000000 518242127 170759135 108161676 422122679 1000000000000000000 697251984 237035707 564886651 626772187 1000000000000000000 321477433 300248695 239502079 278311245 1000000000000000000 898352416 488091505 561060592 792225750 1000000000000000000 700283213 679781383 66358435 134630520 1000000000000000000 162952514 28167710 131214586 57110991 1000000000000000000 466171905 327042758 379055507 45741928 1000000000000000000 115696577 113735874 18383771 67286982 1000000000000000000 408843870 156019412 228607382 51977049 1000000000000000000 215896034 90016963 96518402 78544584 1000000000000000000 995910982 297992159 179845596 3346414 1000000000000000000 51167156 42610418 25320822 44631999 1000000000000000000 707356676 148824483 683214991 244863824 1000000000000000000 142817735 118980945 113514538 116196629 1000000000000000000 881855965 300689282 386688736 357887862 1000000000000000000 148455654 43611304 144823612 4632286 1000000000000000000 29734239 13764799 22206560 11425538 1000000000000000000 471049305 406735312 151471070 449959922 1000000000000000000 190145326 130660828 56653876 5685739 1000000000000000000 350717744 182084230 342884765 252154255 1000000000000000000 949709064 524562607 410455850 856169337 1000000000000000000 61025582 5323650 14827399 1892081 1000000000000000000 972321663 607405804 906683550 61630157 1000000000000000000 29006478 20720704 6156098 21628773 1000000000000000000 980062925 331306963 274190249 967357819 1000000000000000000 280362444 26670949 38228590 235888251 1000000000000000000 687178304 258821945 51917076 80649714 1000000000000000000 956968646 794807245 627760709 581640904 1000000000000000000 967143781 741359811 38573693 529060383 1000000000000000000 997980531 173017664 120146508 513114083 1000000000000000000 488608114 172440290 31116615 459380865 1000000000000000000 523243920 227897995 4439146 57004962 1000000000000000000 142157035 73256327 69383586 124716756 1000000000000000000 861540869 378488930 243635551 411910415 1000000000000000000 441560614 110750098 91315784 3237854 1000000000000000000 112876646 87154493 13221074 25463202 1000000000000000000 947613552 36734640 377859195 80718681 1000000000000000000 961287428 272796131 247942888 336127658 1000000000000000000 777921122 220934279 705255754 748607654 1000000000000000000 863399984 740485871 565702813 560752068 1000000000000000000 676847717 473019638 375622493 406616269 1000000000000000000 188969011 83953359 122545505 150431410 1000000000000000000 99824329 42766482 86040212 4545859 1000000000000000000 920148248 848607993 823246533 732133802 1000000000000000000 825623169 590333451 107925755 359625150 1000000000000000000 788220099 637073389 452973912 9186172 1000000000000000000 470841561 461802178 243530363 147018025 1000000000000000000 304089166 134071610 274131016 100192693 1000000000000000000 97108835 43575131 37967170 52127140 1000000000000000000 281480245 151252248 174657302 261788475 1000000000000000000 288110022 86618281 125012122 209828027 1000000000000000000 494001775 141026283 143178690 310832718 1000000000000000000 449382188 348655230 446293845 242193806 1000000000000000000 166632268 83796807 59494063 37593216 1000000000000000000 93730078 17918847 27985035 26482447 1000000000000000000 814420205 73213300 20842370 111088539 1000000000000000000 233121719 65641271 167181803 65291005 1000000000000000000 214425833 82254104 95822454 98590139 1000000000000000000 295579363 158997204 116891094 30883705 1000000000000000000 704415531 634615332 349818787 543362093 1000000000000000000 461649216 104031339 367871954 410684520 1000000000000000000 309670991 252994238 127750452 225665245 1000000000000000000 81164634 10870870 21966610 74731529 1000000000000000000 760075291 610065717 528398469 693624086 1000000000000000000 156306506 138911370 104046589 39812018 1000000000000000000 630952683 86149922 404548320 346133215 1000000000000000000 683024052 560617747 72020226 36548812 1000000000000000000 191479313 158517286 12607189 94524796 1000000000000000000 688690426 607439482 260124632 584762775 1000000000000000000 614508152 291348449 158052831 196919439 1000000000000000000 768148749 283737523 299546625 435339416 1000000000000000000 215618281 129707625 1400783 174133899 1000000000000000000 317567723 139704045 301310075 93970695 1000000000000000000 176775438 18034095 6487040 7464733 1000000000000000000 415100411 281348144 381420411 142479657 1000000000000000000 877185370 23111304 837645530 875666942 1000000000000000000 945417004 238015640 497030059 666305749 1000000000000000000 445463624 264314204 4670511 253614641 1000000000000000000 378236549 11947129 56807240 298762029 1000000000000000000 948229575 554374819 590075204 156108414 1000000000000000000 298144796 81077581 169756751 241029492 1000000000000000000 887965748 68444252 216905709 637760489 1000000000000000000 674822025 6897703 473426240 566231755 1000000000000000000 264811482 164587094 59571169 90800616 1000000000000000000 916065274 234321542 805190800 527236728 1000000000000000000 864196240 419129835 686676777 544215427 1000000000000000000 413168645 299733026 360378094 399221931 1000000000000000000 506506523 325982444 488257484 425713834 1000000000000000000 724349810 331201254 594481799 185647049 1000000000000000000 688689110 306469474 393311967 355874672 1000000000000000000 799040015 320302468 47467690 15263920 1000000000000000000 842302191 809022558 677999420 612135561 1000000000000000000 81120628 59214679 56158534 70532066 1000000000000000000 866530978 178224845 469542361 492184518 1000000000000000000 905702626 596531258 15716767 786521490 1000000000000000000 976443108 853480026 287362150 263858037 1000000000000000000 578090756 532753239 378848967 106511745 1000000000000000000 121847426 36628544 40437190 8159429 1000000000000000000 561083804 458221825 110890106 522315032 1000000000000000000 785028898 553980388 213470861 250999928 1000000000000000000 585359892 189761768 86799889 182507488 1000000000000000000 695896153 63504633 489625444 667090022 1000000000000000000 726114719 190858638 556431145 456611283 1000000000000000000 966067994 6847392 947919178 230008443 1000000000000000000 768756002 569724265 692767669 571898821 1000000000000000000 707405248 525762435 78235070 180650663 1000000000000000000 255848720 9210822 184370920 97872027 1000000000000000000 430630587 82435504 77034709 195060556 1000000000000000000 435430069 20581400 103085745 67887652 1000000000000000000 423003887 171414530 131727048 133289164 1000000000000000000 443327988 85588142 43307920 419488009 1000000000000000000 483210686 311274913 420743916 4992592 1000000000000000000 294130202 135078056 28030426 181920519 1000000000000000000 734295082 296694339 12500224 433451836 1000000000000000000 731108087 214874297 317173569 577085085 1000000000000000000 338003945 51380418 318663973 72361636 1000000000000000000 946889563 241946737 748024774 482145014 1000000000000000000 308875304 147789878 196658210 118783034 1000000000000000000 201283476 22597539 58123815 72502939 1000000000000000000 661383518 288117452 532427152 21029840 1000000000000000000 491296973 52302210 296201865 397903134 1000000000000000000 491007772 44850310 190814931 362426260 1000000000000000000 665107783 311074697 152573887 80579621 1000000000000000000 618486136 4046420 596406341 320047592 1000000000000000000 508887030 68295344 88182636 174474365 1000000000000000000 491228707 279828357 318991500 425816462 1000000000000000000 53098548 39976204 45577845 41290708 1000000000000000000 232468787 12144080 1603331 139292741 1000000000000000000 227816667 97432459 46824759 160712518 1000000000000000000 818067878 400516209 404995653 279553354 1000000000000000000 681012542 132487488 302320652 625925568 1000000000000000000 968830421 313331852 281560576 477417377 1000000000000000000 95234705 90596946 36379828 10519004 1000000000000000000 963453876 651584439 662198883 680192865 1000000000000000000 4669486 2571358 1217889 3665953 1000000000000000000 163517140 150296613 84912903 49036377 1000000000000000000 334939259 154042336 204548811 57149136 1000000000000000000 855397180 24549939 378871240 659953766 1000000000000000000 517792804 116709130 458852417 433879433 1000000000000000000 907355952 35131098 475249119 142871906 1000000000000000000 795382684 309614114 736799231 103519150 1000000000000000000 803048867 222488260 182519828 476900306 1000000000000000000 107697892 30862448 54241787 8391032 1000000000000000000 966450621 40889078 942333543 901059531 1000000000000000000 399652465 61518211 365686548 339803414 1000000000000000000 601478421 66569242 251728937 596177113 1000000000000000000 921163199 76783358 854331979 199281327 1000000000000000000 54004714 35067620 34279660 1637390 1000000000000000000 724621921 429951745 11991564 602537242 1000000000000000000 769088762 474912386 240091468 570597885 1000000000000000000 76342760 16706658 14497016 69129859 1000000000000000000 515469267 368601942 199055875 510216639 1000000000000000000 71860787 5571213 64721300 67229016 1000000000000000000 792702032 744130976 787637363 653920374 1000000000000000000 290044896 59553943 219169975 165166711 1000000000000000000 797689195 663411869 414800454 319726356 1000000000000000000 515667248 323209945 311905374 58719039 1000000000000000000 515479359 173983843 443897673 79858520 1000000000000000000 885345260 428795444 860547946 349086894 1000000000000000000 254293802 134180685 136370158 247462687 1000000000000000000 19417714 250948 5791058 18248365 1000000000000000000 824709292 673607522 286101164 159779480 1000000000000000000 488617228 46269138 112370485 369293809 1000000000000000000 80380347 1944904 63609691 23679026 1000000000000000000 526268677 424107476 387472094 241005337 1000000000000000000 849820013 372829388 280584374 564696865 1000000000000000000 983303783 43071188 241500446 41650751 1000000000000000000 983310364 754636577 190018272 222733153 1000000000000000000 910075602 146456042 44054230 452399659 1000000000000000000 499755828 221977879 422298606 279293378 1000000000000000000 259075483 7281452 248783393 1148000 1000000000000000000 393931793 384652336 21129243 239077719 1000000000000000000 83713118 73993671 75782171 11091798 1000000000000000000 174412506 3437573 117394853 56256754 1000000000000000000 524371942 348443994 503355790 279356036 1000000000000000000 856682135 770993049 743458441 340213445 1000000000000000000 545648079 277432138 213995159 462277078 1000000000000000000 180057335 126921124 26394606 57644560 1000000000000000000 454683671 248001576 333284527 453712498 1000000000000000000 954168053 547827109 425144151 705579202 1000000000000000000 197534043 182766980 135401437 41205926 1000000000000000000 687041157 499389702 258881680 11315511 1000000000000000000 947960398 926096531 835045396 268536620 1000000000000000000 457772986 110176777 2272474 135274783 1000000000000000000 858075665 552683112 157121672 33755542 1000000000000000000 502345851 190402961 146246522 293802187 1000000000000000000 705563002 176476670 297310395 407523658 1000000000000000000 717773885 667853507 640206815 169951812 1000000000000000000 539307773 338815331 186017640 192395029 1000000000000000000 235555463 173235885 1598965 38217336 1000000000000000000 553288152 469843068 245866723 378679087 1000000000000000000 670225265 636906828 505046848 209961158 1000000000000000000 802456249 724465158 778769523 535441696 1000000000000000000 674873432 452530353 558486741 489371767 1000000000000000000 496187946 287972895 292808691 413877123 1000000000000000000 471546277 325682337 35367616 456036535 1000000000000000000 60330175 58182008 57468602 59883534 1000000000000000000 538715337 19723667 278269208 89146444 1000000000000000000 616885614 26027962 14893030 219087796 1000000000000000000 560876503 308876084 366082116 207651593 1000000000000000000 38078282 28982668 17850639 12298669 1000000000000000000 503820848 88036594 100609189 164735385 1000000000000000000 805160203 785055881 496073015 300816652 1000000000000000000 35841364 24765041 35280386 9852280 1000000000000000000 379037332 2036572 281127787 338571330 1000000000000000000 231578687 203446765 150433385 102461759 1000000000000000000 116753230 48845184 104173547 68430980 1000000000000000000 562689602 65655922 229653195 520602778 1000000000000000000 960861829 45886277 240244615 218666894 1000000000000000000 733939874 249582712 457341615 505104762 1000000000000000000 39046815 141604 3468535 37276104 1000000000000000000 282366945 31653474 94678882 73252972 1000000000000000000 374369753 151542715 319524991 170007399 1000000000000000000 780443613 30936476 360558718 271529776 1000000000000000000 759078948 475634808 61876876 82496405 1000000000000000000 360110560 72272854 121526991 336954825 1000000000000000000 705373591 305497274 100414865 534548526 1000000000000000000 339667420 57506364 151250063 103913793 1000000000000000000 245203613 122427868 144023840 130947074 1000000000000000000 528434343 438699423 209579182 410771720 1000000000000000000 708356262 586679840 704041710 374701090 1000000000000000000 107234853 62291838 1135281 43892269 1000000000000000000 654510855 43421689 604917746 361647548 1000000000000000000 672869002 35559653 616936354 649134428 1000000000000000000 506744476 176910684 149158529 318030649 1000000000000000000 269144844 12333372 89153738 94800845 1000000000000000000 134696923 118587756 35879408 20406284 1000000000000000000 641289162 110971990 564256449 601408225 1000000000000000000 278365614 70385937 178813387 160008476 1000000000000000000 224661775 74755325 72566260 40332089 1000000000000000000 412086759 152506521 113397058 210946989 1000000000000000000 19549429 16288276 14734397 17122997 1000000000000000000 147259249 4606434 81884269 93078928 1000000000000000000 765593954 104816842 311398281 760561531 1000000000000000000 856501765 574681879 744043533 408191244 1000000000000000000 460923003 223676163 373047085 76056446 1000000000000000000 222917268 25499454 81612013 183140543 1000000000000000000 724374246 381748254 676846322 320398436 1000000000000000000 158360110 70920884 46700884 155738726 1000000000000000000 853374416 781819084 77001903 427455545 1000000000000000000 39124581 25686075 3872250 20938296 1000000000000000000 491139849 116376048 355381536 147097297 1000000000000000000 519572544 372625536 407541622 42488651 1000000000000000000 422879342 251723207 201204501 114927317 1000000000000000000 886458746 25632473 716940823 144413231 1000000000000000000 760923294 198072742 616187561 147430524 1000000000000000000 353247401 238760497 233179383 224810719 1000000000000000000 264513132 161498040 15065770 25703504 1000000000000000000 88879816 60490136 80950900 70856151 1000000000000000000 564155361 156413309 510823878 307301153 1000000000000000000 153598829 40431482 40321688 116938877 1000000000000000000 247472693 243332454 67906992 122360369 1000000000000000000 551341598 50396623 503245978 344341085 1000000000000000000 804622398 186328921 272333008 49588340 1000000000000000000 321679835 128380046 320441387 3936981 1000000000000000000 458717821 450352722 25912335 203761426 1000000000000000000 468312607 362335586 403896043 446613931 1000000000000000000 894916980 376305602 402122283 371490788 1000000000000000000 708353557 576992150 39942594 395071263 1000000000000000000 591154344 271247274 519030531 212325757 1000000000000000000 8351115 3019792 1108200 7806863 1000000000000000000 987687566 458490189 382284119 981775083 1000000000000000000 275334428 202949184 271349648 154439799 1000000000000000000 659566648 22696695 415541579 130967090 1000000000000000000 467933945 188477065 420425766 171158200 1000000000000000000 831247008 534773270 41647293 168704101 1000000000000000000 48958052 1085764 31728528 21622169 1000000000000000000 650895285 110990485 98710734 82883642 1000000000000000000 756830418 483184299 678903515 439724329 1000000000000000000 61280323 28842895 1688424 32877990 1000000000000000000 681301593 435927296 284761176 652363035 1000000000000000000 488887203 142845785 92847073 237675768 1000000000000000000 85583579 26661480 2427663 7288762 1000000000000000000 782448415 781782219 349352535 198464449 1000000000000000000 215688284 37476505 174189880 126614053 1000000000000000000 292829460 27758591 225943316 73252901 1000000000000000000 388652605 200861924 201453098 326697809 1000000000000000000 6353216 4998747 834478 2464745 1000000000000000000 390523960 225234438 19015433 349982710 1000000000000000000 285753116 204480487 116316081 266223010 1000000000000000000 886593416 509989386 234448906 369588743 1000000000000000000 486845471 249354403 300615783 156306701 1000000000000000000 701569441 667763535 531783443 304995809 1000000000000000000 602801332 278409246 282069436 73675052 1000000000000000000 361394316 340604848 263032578 156846177 1000000000000000000 768886995 381313705 409545233 573846374 1000000000000000000 567838693 274115471 312841485 373203552 1000000000000000000 608694043 253193883 226337953 230707234 1000000000000000000 158015063 143313944 64284360 82345091 1000000000000000000 580181225 36398407 248416916 77956942 1000000000000000000 66934235 20113420 66720342 22161813 1000000000000000000 723550202 406521784 504682143 518506223 1000000000000000000 67275451 60207310 3725695 64797791 1000000000000000000 153065667 104100284 13090567 140177694 1000000000000000000 725383348 456249925 369283698 587872650 1000000000000000000 806020955 788974156 677099826 127032832 1000000000000000000 884620314 584735429 569999040 634833418 1000000000000000000 875795896 507571102 386293951 166608624 1000000000000000000 959739404 262768847 359207972 135366499 1000000000000000000 462273147 261990442 67532618 33854636 1000000000000000000 649971358 7164766 91500447 350943500 1000000000000000000 92612910 29812281 37122990 61885356 1000000000000000000 724097668 563377330 488396535 566585735 1000000000000000000 806315053 9201474 141909520 291910406 1000000000000000000 703194361 167002928 52665345 638984326 1000000000000000000 396925112 302517386 9420431 121859497 1000000000000000000 819207621 194380552 37575512 11312490 1000000000000000000 179942682 68623289 53235052 86006297 1000000000000000000 236536636 38882877 3172393 222684754 1000000000000000000 949046167 354007358 554550292 117509930 1000000000000000000 371049526 243581737 281837613 169028907 1000000000000000000 552522473 286750949 379636082 259963000 1000000000000000000 541632386 462465494 357912915 163317461 1000000000000000000 620667048 570329650 54852344 20013690 1000000000000000000 365994133 23070750 14116485 136351341 1000000000000000000 550179048 310541487 25950505 209798681 1000000000000000000 380363169 314355822 321958195 354460019 1000000000000000000 286409418 14900674 79212199 144750420 1000000000000000000 917540375 623134040 552939978 188723792 1000000000000000000 80722125 80692291 44193015 15375903 1000000000000000000 964711027 131099431 362435263 612948 1000000000000000000 191000880 181925452 169260002 102258897 1000000000000000000 794780918 205673561 393491894 357974344 1000000000000000000 238436809 111408232 118466709 200720148 1000000000000000000 634255200 179140056 605420420 475829564 1000000000000000000 267740255 241455728 155160581 148942546 1000000000000000000 12661226 8869446 3619361 5055879 1000000000000000000 435745276 71124869 364658280 2621327 1000000000000000000 908217949 740553348 657587178 258680672 1000000000000000000 271163647 120771265 150006488 93832130 1000000000000000000 46884889 26292412 395352 37896365 1000000000000000000 44928024 44365089 20935679 33677383 1000000000000000000 93302363 51586156 40935641 58345505 1000000000000000000 604685491 3095446 81659794 453517982 1000000000000000000 300678424 19865812 159131322 11706595 1000000000000000000 364190487 353753090 181226903 345082860 1000000000000000000 991916090 560166813 762658509 962306534 1000000000000000000 9587382 9303167 1770618 7469460 1000000000000000000 796968332 44043814 716451156 427682937 1000000000000000000 61086361 21739988 27453042 57772300 1000000000000000000 279807168 227547264 47488476 254620540 1000000000000000000 43051834 10225134 35096546 2136568 1000000000000000000 888817395 791362467 408903576 62062194 1000000000000000000 188106583 132602431 110455685 38675626 1000000000000000000 696545846 584362347 313588457 660815971 1000000000000000000 217505152 53950392 82125096 43996259 1000000000000000000 962531692 912903032 791569399 702018798 1000000000000000000 124342692 89876164 107542667 88584182 1000000000000000000 70208937 9202448 14416236 12810756 1000000000000000000 410634469 193317422 225599940 230234955 1000000000000000000 70682259 70105431 5883810 7693419 1000000000000000000 457548976 192522547 282582765 156788935 1000000000000000000 490231744 481547149 282933071 23519281 1000000000000000000 648330607 86766766 506253077 285247625 1000000000000000000 865506852 461790665 102474908 146260750 1000000000000000000 482867583 172221950 416998991 390003469 1000000000000000000 287484992 255635958 130974617 31413944 1000000000000000000 672637214 265401245 138439388 99328839 1000000000000000000 414236040 12635499 293102935 221320516 1000000000000000000 821821630 314925949 748503217 16787759 1000000000000000000 248318579 201760548 149734220 153224019 1000000000000000000 838248105 489693194 132346771 304968819 1000000000000000000 317344745 186281282 217115905 296282350 1000000000000000000 386577468 348095372 165314563 232417558 1000000000000000000 781929292 540722249 161441113 652087469 1000000000000000000 944991867 633297696 354308273 838844981 1000000000000000000 118793510 61457984 85310161 3513676 1000000000000000000 362753592 256899826 328380967 207519854 1000000000000000000 787402473 763643594 85135907 564589006 1000000000000000000 398230014 100587382 221804463 364044274 1000000000000000000 5818472 5335450 461613 4319171 1000000000000000000 975384965 851769567 368608851 32353582 1000000000000000000 110091866 73696012 84480415 56558933 1000000000000000000 224549186 139861433 136443479 180378433 1000000000000000000 161084116 17796335 133317585 119307232 1000000000000000000 679252032 539605015 342252309 332184025 1000000000000000000 190134040 158176081 82172770 141876207 1000000000000000000 832859693 448983048 38670857 480741465 1000000000000000000 200307384 54258909 159343966 144294873 1000000000000000000 347482565 156678582 20074101 161540778 1000000000000000000 874313494 94946096 856122132 820550720 1000000000000000000 395709867 352944466 288429944 33788548 1000000000000000000 672309959 333332116 406465873 560602257 1000000000000000000 573628804 40330723 36164877 260182815 1000000000000000000 471232662 298417316 75752024 413842718 1000000000000000000 101936258 16670102 39027692 20920292 1000000000000000000 221734421 94932420 22504449 62415314 1000000000000000000 306480333 17522250 35821283 243454441 1000000000000000000 658943207 156153012 268590742 367052041 1000000000000000000 27827635 22058672 4528396 7690402 1000000000000000000 385864398 233685154 359058657 257289734 1000000000000000000 437809163 108441622 240279604 222191269 1000000000000000000 950175640 537246995 204768786 511272084 1000000000000000000 378034817 75960003 196375459 129824755 1000000000000000000 908420263 488696850 682730372 545205667 1000000000000000000 59015468 40553340 57532778 14229597 1000000000000000000 16822941 9788054 2879282 8583479 1000000000000000000 590269280 70712088 308516449 253870594 1000000000000000000 547309247 523110959 321668537 425864684 1000000000000000000 748853383 484834694 100747780 126308513 1000000000000000000 103770045 75256609 50037135 55819447 1000000000000000000 738392443 166464787 523149076 635636304 1000000000000000000 639744025 495580513 418784589 209677770 1000000000000000000 213218679 11003060 109407040 204508979 1000000000000000000 867703777 406458349 407560367 769027828 1000000000000000000 78338938 48697371 21768941 62738538 1000000000000000000 950221637 680335227 443715265 738688595 1000000000000000000 609020174 84713796 62846140 182440765 1000000000000000000 554790975 316204791 370407602 94899678 1000000000000000000 303973954 143768807 256652396 193726900 1000000000000000000 205374431 24916943 122809954 190632233 1000000000000000000 819177024 431792407 600726433 486469528 1000000000000000000 304122402 269077651 78989366 205736119 1000000000000000000 534241164 236204633 213298873 393841661 1000000000000000000 109174632 47272476 84336824 2205803 1000000000000000000 736189923 468547513 702612145 590305677 1000000000000000000 484226141 186422721 405352408 177977947 1000000000000000000 51442341 23162734 9118090 41936140 1000000000000000000 472700472 184707614 172431811 252327010 1000000000000000000 881628056 732973937 293163691 581486970 1000000000000000000 677964932 675518093 284489095 258971007 1000000000000000000 629366591 295089077 76552631 365330822 1000000000000000000 294845081 61451762 292634917 75639909 1000000000000000000 565302859 414937124 211812021 50538866 1000000000000000000 414030414 322517224 208852394 155720636 1000000000000000000 615320647 487766179 84510669 505460621 1000000000000000000 215603975 207276639 212713134 129678073 1000000000000000000 24866484 22162055 2650525 14281868 1000000000000000000 735819902 547706853 711001131 10107864 1000000000000000000 49024428 13267222 10380278 7609640 1000000000000000000 607713908 24537146 89825540 352015950 1000000000000000000 484161599 88881766 200685886 338971920 1000000000000000000 456386328 420679587 104390701 186873085 1000000000000000000 290767338 246066814 156457491 1253222 1000000000000000000 269364506 150066275 155612473 158568352 1000000000000000000 385241854 267132764 265188911 305954126 1000000000000000000 555934760 148331636 63854101 72771304 1000000000000000000 224335445 177512749 51611922 77561589 1000000000000000000 51930566 11292925 19889888 34895512 1000000000000000000 628966269 449424470 92998380 483753553 1000000000000000000 610686385 400601844 37020627 237277759 1000000000000000000 49049254 5383297 4641908 40280532 1000000000000000000 526663395 489859913 11006094 377861796 1000000000000000000 946588682 292540498 715269321 521647867 1000000000000000000 713830724 536754992 204086226 109900605 1000000000000000000 360734440 184074429 76276032 306317213 1000000000000000000 303110271 22331093 28182797 148816968 1000000000000000000 679789782 59216758 228924951 305044937 1000000000000000000 728761998 404076027 694350733 497405500 1000000000000000000 756397430 357290210 394540058 718335867 1000000000000000000 136127257 57456208 106261851 26544307 1000000000000000000 219413046 45989561 139967899 73156522 1000000000000000000 110849557 75026565 46673606 44793361 1000000000000000000 152978102 55226123 86378017 94476230 1000000000000000000 392198196 326023314 210263873 178324744 1000000000000000000 372081399 90228751 132381111 152701164 1000000000000000000 178292577 166032129 168767680 38869581 1000000000000000000 628105313 296757590 262716468 225845021 1000000000000000000 317723814 89131019 98643288 264430907 1000000000000000000 203946566 183133574 14840785 31913100 1000000000000000000 717065264 550872790 382651431 282045526 1000000000000000000 205057 171193 125589 195973 1000000000000000000 355727595 279215933 343513200 306898744 1000000000000000000 595499697 224159526 591195205 203952052 1000000000000000000 797098727 681015899 523922958 227335829 1000000000000000000 629694781 45797291 1729746 539526598 1000000000000000000 331848223 81404388 299016263 315419426 1000000000000000000 21447013 1206981 3079568 18818102 1000000000000000000 256172919 199911142 237019811 67851369 1000000000000000000 889877193 813041569 3995518 6529672 1000000000000000000 162517941 22364221 145178023 100137479 1000000000000000000 818877888 55595739 354466934 619794060 1000000000000000000 170798430 121359240 170399871 85513343 1000000000000000000 514260593 441778106 465807385 68306930 1000000000000000000 227506781 13377771 82884335 115707600 1000000000000000000 714268202 633156579 476870490 489372701 1000000000000000000 406351745 79034176 361556164 59442663 1000000000000000000 75038452 40161013 22527610 68034105 1000000000000000000 93278247 23138146 20667802 7774135 1000000000000000000 99973191 36819712 42795141 3247585 1000000000000000000 875379168 695658194 497876193 737361165 1000000000000000000 332046133 211896047 189065504 258930135 1000000000000000000 433301735 187941845 379832023 348076812 1000000000000000000 846898737 681158437 480196492 312693150 1000000000000000000 712909124 506727313 708112777 222399318 1000000000000000000 947320417 200186173 239009051 67151032 1000000000000000000 389223017 320226422 312424101 198720337 1000000000000000000 341498686 42122356 281216551 158697785 1000000000000000000 726294245 98193312 350523231 223782663 1000000000000000000 667722178 25377004 24532048 658435688 1000000000000000000 289534536 6156624 194897617 106005042 1000000000000000000 215246291 203520004 51594730 26245754 1000000000000000000 8404140 6344776 2498361 6890127 1000000000000000000 113330765 67076733 28937605 79379779 1000000000000000000 306446401 176334369 27790423 177430121 1000000000000000000 294184319 5166963 166826686 40296116 1000000000000000000 514234530 360033401 86990070 259806803 1000000000000000000 143274282 14902426 15369603 12244171 1000000000000000000 931716946 674111778 853149610 172780450 1000000000000000000 124149193 122398370 63604385 43637226 1000000000000000000 774113577 424022035 6356551 295856986 1000000000000000000 42449015 29213035 14040039 7476887 1000000000000000000 872947869 453270140 227435043 730425978 1000000000000000000 211938412 208291818 150648697 190827994 1000000000000000000 704748789 33469804 139663866 346271521 1000000000000000000 648593156 88804033 17387508 229646243 1000000000000000000 794114432 256975380 786526817 684778502 1000000000000000000 992498357 203704015 979073060 651507622 1000000000000000000 748415065 10362787 222985143 264120140 1000000000000000000 77704878 74890046 12571447 71388995 1000000000000000000 793399030 413964280 646961966 227531295 1000000000000000000 672598448 340482869 669408860 2433384 1000000000000000000 803341282 528165340 182881242 17406494 1000000000000000000 911574168 536105170 464158396 280088125 1000000000000000000 595717616 264794278 535511887 66989647 1000000000000000000 539963261 398940662 200918724 238878568 1000000000000000000 343566428 39713955 169326626 274074985 1000000000000000000 920589931 445286455 2367863 274587898 1000000000000000000 295252906 269217254 233349566 207914241 1000000000000000000 944813665 730192600 187449077 533969496 1000000000000000000 697160047 645484620 446657794 475292894 1000000000000000000 577398385 121938912 208162501 450387091 1000000000000000000 49669376 41067100 47549502 32654183 1000000000000000000 912291004 416878132 14361844 480775440 1000000000000000000 630712350 100878031 328922317 107056483 1000000000000000000 679625204 399138566 148451284 143359978 1000000000000000000 341115799 111367553 283955857 290021043 1000000000000000000 663435872 238189775 53924336 537647513 1000000000000000000 575519866 364782041 284488112 419305636 1000000000000000000 340006808 181329637 843152 68240589 1000000000000000000 81238851 76203246 67385980 76865489 1000000000000000000 306657544 232851008 133668259 91087996 1000000000000000000 307841734 166007567 288168738 273222684 1000000000000000000 118288276 61440230 28606319 44979886 1000000000000000000 752938747 117620891 120842686 585871197 1000000000000000000 540957337 7283441 384855553 435306561 1000000000000000000 518671860 255312224 91972893 85112675 1000000000000000000 212186359 3570960 93341788 174440981 1000000000000000000 424591452 311297409 7123948 288048529 1000000000000000000 307097827 151178573 59820738 295521782 1000000000000000000 617582245 598115121 521471401 309948416 1000000000000000000 987612427 913838189 344942679 577522655 1000000000000000000 265652682 166649896 57011279 258721178 1000000000000000000 108411706 70047325 32871344 11045875 1000000000000000000 236016245 16118954 188241834 168796008 1000000000000000000 737632983 558097236 70003543 282575952 1000000000000000000 829827126 317145599 418486516 147958491 1000000000000000000 420773431 396054042 396301865 189233025 1000000000000000000 584110468 203155128 582151115 227177560 1000000000000000000 142130522 102527329 9029537 61275535 1000000000000000000 105063894 79753673 8823144 13757628 1000000000000000000 908336768 258530217 759049802 851726185 1000000000000000000 518641347 68283770 8946719 475614133 1000000000000000000 512366318 260469357 442201572 486982585 1000000000000000000 868179424 21125875 739818310 794701856 1000000000000000000 262093349 88736145 35215875 245792759 1000000000000000000 247680896 108703186 210248529 50908635 1000000000000000000 455720378 307371926 134192149 312585124 1000000000000000000 149898914 17082974 99897599 41083869 1000000000000000000 875197978 408718884 487777262 543275098 1000000000000000000 638930437 135609314 399531635 533313514 1000000000000000000 969842270 911652789 624221508 514112162 1000000000000000000 147444157 122142141 140402135 137519670 1000000000000000000 437784292 354728544 256590043 124132360 1000000000000000000 92341023 69433689 4422916 62587697 1000000000000000000 907286785 755089757 379738781 472017 1000000000000000000 622357074 92830584 347784621 217597117 1000000000000000000 925778863 638609219 730974352 870869220 1000000000000000000 128329913 58865175 99131757 96662445 1000000000000000000 209972747 149164845 166721174 94003926 1000000000000000000 837394263 560062348 806060144 167094587 1000000000000000000 51993284 17259096 42427752 51043228 1000000000000000000 701461473 625356121 381967232 82657176 1000000000000000000 817588683 608220110 375596325 13194773 1000000000000000000 903054730 677827242 293275180 244392938 1000000000000000000 434637513 226569879 338627960 183541721 1000000000000000000 695431255 524749296 410636418 372279647 1000000000000000000 992667286 412426167 120505533 741688190 1000000000000000000 80895434 27380449 102872 16808275 1000000000000000000 656868060 157755136 570181627 521537991 1000000000000000000 566956641 529421830 302338745 432565908 1000000000000000000 102152619 91548073 35189275 19759364 1000000000000000000 978743878 440199827 239183750 850221743 1000000000000000000 200053159 152830429 121806246 1050610 1000000000000000000 424740356 242326469 164040295 238137832 1000000000000000000 215504771 100609262 129518889 114306457 1000000000000000000 227862042 221877817 149791225 70482438 1000000000000000000 442627238 140275114 434852040 435478924 1000000000000000000 478407370 240957377 178480095 464893316 1000000000000000000 677033390 332666970 295418409 23993411 1000000000000000000 734533888 254290164 4910068 107363944 1000000000000000000 930418404 518485254 620947440 414397276 1000000000000000000 545152137 301127554 438669922 82563227 1000000000000000000 356097065 62534334 269320081 202756545 1000000000000000000 500881459 131095225 382025512 290068373 1000000000000000000 895614423 594781187 604422399 149589797 1000000000000000000 344919354 337457883 52042478 107322661 1000000000000000000 898285085 875442651 395144958 67528910 1000000000000000000 256250146 168436607 232203545 25406625 1000000000000000000 558988462 460501612 535131565 19364917 1000000000000000000 194341988 188279497 113059016 84225051 1000000000000000000 974073211 298631696 810645168 310065946 1000000000000000000 734268358 224174880 70547337 80051024 1000000000000000000 331221667 304646727 56634755 151973031 1000000000000000000 360737984 187346056 116584002 174283662 1000000000000000000 503820961 479299995 30828990 357396922 1000000000000000000 254639015 237191814 6800913 29566785 1000000000000000000 340273117 271063364 28391155 194268781 1000000000000000000 777913982 298600075 376855009 528979981 1000000000000000000 263554808 56600814 123246320 238145052 1000000000000000000 581737639 246361120 580379435 169497391 1000000000000000000 315059002 35973252 65505765 294851871 1000000000000000000 712747655 359869318 307265599 442732830 1000000000000000000 61274866 20984954 44128289 60074873 1000000000000000000 116397793 73553544 49437631 87753630 1000000000000000000 6049241 1627046 3990081 1875146 1000000000000000000 648956089 312743606 259392336 392445684 1000000000000000000 414027600 155330481 191453552 168805456 1000000000000000000 431819571 287102777 193739710 300437491 1000000000000000000 571434059 150089340 26015070 447185027 1000000000000000000 229313507 196498217 225149296 163636619 1000000000000000000 339356994 271604181 36220804 4043887 1000000000000000000 845152779 584431541 281813394 435868397 1000000000000000000 684324565 664289970 411355035 136223237 1000000000000000000 263006694 138151733 246556364 214108573 1000000000000000000 237456347 126648361 204361322 95158289 1000000000000000000 456796000 123345646 351290259 71485197 1000000000000000000 964194340 667284592 923618464 399760127 1000000000000000000 85339709 3607981 11151583 81911368 1000000000000000000 758156319 43527853 210840747 602305239 1000000000000000000 564715262 466893238 249855155 186228036 1000000000000000000 135304405 102496792 110056656 54133767 1000000000000000000 333185311 172794218 277379288 310549631 1000000000000000000 450269559 242430670 373791174 41531494 1000000000000000000 812147050 264814114 210226772 665162115 1000000000000000000 964879566 905109707 490386427 515880846 1000000000000000000 230783398 195101934 225845270 21553842 1000000000000000000 810084339 242745974 465462567 457867492 1000000000000000000 285176743 130953799 147616330 29208284 1000000000000000000 752646309 176794770 555898886 622852321 1000000000000000000 99518206 80666403 78311461 45303036 1000000000000000000 311410105 159907333 115828448 143402366 1000000000000000000 950192759 311537033 36344386 637220473 1000000000000000000 646201701 252671592 24708320 152489942 1000000000000000000 763056418 563335068 653873010 701767119 1000000000000000000 193443079 58858542 38659031 170739697 1000000000000000000 2787898 1966689 1307027 875284 1000000000000000000 201101796 64064983 172612509 61777370 1000000000000000000 369710003 79195588 339019835 149299591 1000000000000000000 947958573 697780725 361125654 495810279 1000000000000000000 490063253 337860196 214688462 18469110 1000000000000000000 584575188 89235417 375345693 250552255 1000000000000000000 915211986 260855508 157646143 498169783 1000000000000000000 585351501 422781797 95240432 569641622 1000000000000000000 230871245 34153350 227559434 215213803 1000000000000000000 1017225 756226 681879 207994 1000000000000000000 764156823 285543605 371230479 506020529 1000000000000000000 515906360 507198912 342104661 365639048 1000000000000000000 58310224 28896335 48765149 45990975 1000000000000000000 44401923 19177112 17041870 1709643 1000000000000000000 743378861 189513901 460431297 77877753 1000000000000000000 618278804 107614400 57635782 484600102 1000000000000000000 491178377 207729243 245293521 377241569 1000000000000000000 675955926 560055277 289039083 535978662 1000000000000000000 800356506 636999471 517490421 515192788 1000000000000000000 26630043 13271707 20531980 14597669 1000000000000000000 594957013 174515990 540226114 92926513 1000000000000000000 170582423 63164153 92044223 76435400 1000000000000000000 661243991 470000105 294723234 159012651 1000000000000000000 91596089 46318486 29277993 37992933 1000000000000000000 562473076 419977624 478990414 142673745 1000000000000000000 868416295 485198843 115503708 536188611 1000000000000000000 448072154 392471598 22183778 281991071 1000000000000000000 260583149 217992507 123056740 151304926 1000000000000000000 952978155 866550056 765263600 227344215 1000000000000000000 108768692 45795222 58388174 87081693 1000000000000000000 38403089 24254206 17941840 358188 1000000000000000000 263142084 94916059 148398192 154341135 1000000000000000000 283740965 110292254 122166084 112523337 1000000000000000000 99155657 32256220 77927191 64774790 1000000000000000000 120411398 75975072 105027684 83860164 1000000000000000000 305491607 130177311 171342536 294576220 1000000000000000000 606024467 402261029 23459694 345328269 1000000000000000000 219007882 62125822 141504498 170967424 1000000000000000000 939024967 745621606 235531196 482006781 1000000000000000000 456724463 354890674 152306861 405539661 1000000000000000000 918609722 438275972 174201790 568818671 1000000000000000000 202188149 101140606 34046761 38634638 1000000000000000000 812236163 497886104 449433378 753193337 1000000000000000000 118062842 9535991 113322624 66908852 1000000000000000000 310867338 137739633 72251107 20497986 1000000000000000000 286780757 31855773 190400136 16332524 1000000000000000000 316825097 241261312 59538497 101280873 1000000000000000000 788063457 143915644 373206655 139321744 1000000000000000000 367885134 34201532 323351690 112253459 1000000000000000000 671602181 27796152 466250035 580577503 1000000000000000000 156752042 560919 83145405 76523580 1000000000000000000 437737390 62816922 88051813 389104563 1000000000000000000 361419803 32239163 121206806 139632700 1000000000000000000 913006190 665327751 107507274 98418065 1000000000000000000 434450149 300864303 217197105 355933449 1000000000000000000 585735601 530066445 506989049 20631948 1000000000000000000 328087601 63595008 284687479 37956623 1000000000000000000 846931654 420741469 402104474 756440344 1000000000000000000 390737225 65678769 78322891 197847850 1000000000000000000 626480183 609435772 342627094 255770710 1000000000000000000 824230319 194712094 163060930 225201892 1000000000000000000 603293160 496525012 124971568 496904803 1000000000000000000 516402930 321824073 363550896 474954476 1000000000000000000 496920869 139495257 36902792 460510058 1000000000000000000 59413556 48749015 30501291 302065 1000000000000000000 71713824 10626484 56587019 28885411 1000000000000000000 318868275 1152571 208019899 124577243 1000000000000000000 959155678 730202441 52056036 713416329 1000000000000000000 473224044 111612281 256345890 381387018 1000000000000000000 717617969 537395928 350596641 178740414 1000000000000000000 958295865 121813187 582034610 400977642 1000000000000000000 708412095 266428928 438157805 486634503 1000000000000000000 459435744 293781092 443664761 127646111 1000000000000000000 757074042 192415013 702508553 120432107 1000000000000000000 533457748 78892394 248668873 243166955 1000000000000000000 73318873 29492891 38307353 58592104 1000000000000000000 934411000 490568796 25530844 870044792 1000000000000000000 622540998 339876637 290465063 575092641 1000000000000000000 983284292 93265158 381751308 484312249 1000000000000000000 709508827 519303091 387202252 597233124 1000000000000000000 855377134 317358815 603494238 33851990 1000000000000000000 640198623 17423312 423435107 19918724 1000000000000000000 758583497 490416780 352044237 54951430 1000000000000000000 795689668 106389606 721503277 126867962 1000000000000000000 240823829 164252531 190848583 189918084 1000000000000000000 89705921 19563071 38088280 70809603 1000000000000000000 594041887 408755665 243316718 135037170 1000000000000000000 435617888 25047245 23270023 434104749 1000000000000000000 192170294 57655714 173524682 159698754 1000000000000000000 941250541 567753851 238782170 735531275 1000000000000000000 26187674 25017480 9921499 9943624 1000000000000000000 135694519 1925046 32073691 84259360 1000000000000000000 532651322 314122752 233808339 168426384 1000000000000000000 44679425 12455226 16634035 40660908 1000000000000000000 356929811 304297345 51617666 304231824 1000000000000000000 186703937 92838989 58800349 169853212 1000000000000000000 733945696 22781856 277834482 628221420 1000000000000000000 597529802 250322773 186141406 83835483 1000000000000000000 894172185 466850713 115949285 674999843 1000000000000000000 84224278 74798529 33709743 49284816 1000000000000000000 503766451 299745349 36273347 356270309 1000000000000000000 534252560 143073986 258429595 515687420 1000000000000000000 605300819 43134727 121827875 49141391 1000000000000000000 994397855 599767150 77954869 592160412 1000000000000000000 373877573 225848325 16353579 227067006 1000000000000000000 338732922 13040666 56313529 237954480 1000000000000000000 900579891 839656604 579599980 403767796 1000000000000000000 260075193 218225204 176036834 12442010 1000000000000000000 431336432 73099256 65277186 230009390 1000000000000000000 261969372 83895261 140603329 233506403 1000000000000000000 837915499 578675127 737340810 177392792 1000000000000000000 605957413 17461705 396704822 20725187 1000000000000000000 749245977 474964849 477744245 146405618 1000000000000000000 274163325 53068270 134882678 39365446 1000000000000000000 876723023 305113261 776671075 381547735 1000000000000000000 107836414 105453666 8854035 60078942 1000000000000000000 900432936 501567000 163423263 698577752 1000000000000000000 73903368 25362171 53752992 46621217 1000000000000000000 639916825 220527074 611462733 586985171 1000000000000000000 887586895 380682438 764987651 179920802 1000000000000000000 944462929 243905480 695776356 326147547 1000000000000000000 878907232 498207587 103744539 750349731 1000000000000000000 818118157 80354100 666256718 288696360 1000000000000000000 214219793 144796936 65234899 70244740 1000000000000000000 689984206 467075560 244988872 496813951 1000000000000000000 941940801 114694229 844258168 743313898 1000000000000000000 400526199 89205811 320158831 12250551 1000000000000000000 611643448 528294787 283212707 179507043 1000000000000000000 829642297 761429122 363518545 67430321 1000000000000000000 212915266 5953618 104209130 20001496 1000000000000000000 540467924 520731083 284709876 364735864 1000000000000000000 914206444 235289069 900431203 529426506 1000000000000000000 701566954 531305612 447210754 394984121 1000000000000000000 337967400 70828545 179834186 18610339 1000000000000000000 739116369 722757642 545415474 12374316 1000000000000000000 115532757 32917570 26976070 73151500 1000000000000000000 784758419 535297573 703783382 240534817 1000000000000000000 316504734 91488082 97892893 21988276 1000000000000000000 719529438 444743173 457911792 291662441 1000000000000000000 577114670 150537274 544709997 353760156 1000000000000000000 621850655 24672992 597967019 374382181 1000000000000000000 182642419 69221467 21637125 86008658 1000000000000000000 700184985 148638600 333243972 517987685 1000000000000000000 446847437 137967389 26322781 176175352 1000000000000000000 349001057 277575781 120420301 6338537 1000000000000000000 551227713 213276196 279171805 252494142 1000000000000000000 401736043 351710192 326438959 142176663 1000000000000000000 58257168 32378766 13630397 12654189 1000000000000000000 484962670 427153925 87799779 298682809 1000000000000000000 829585096 276590164 677324266 670276570 1000000000000000000 739100251 593377689 692304490 522085924 1000000000000000000 480214093 131464077 181989948 61118017 1000000000000000000 942492997 392189685 863119371 546017903 1000000000000000000 518095824 248057762 247668247 405434690 1000000000000000000 406245150 146249743 171601356 280016012 1000000000000000000 421088859 245567125 338020030 93723681 1000000000000000000 291293918 151734113 81942908 151808095 1000000000000000000 486544193 84937969 128287877 316649911 1000000000000000000 121256172 75304407 16371255 96645964 1000000000000000000 530579845 128490615 282549624 283507916 1000000000000000000 467759029 120226702 279036333 73516167 1000000000000000000 520234784 75307710 240584993 183762012 1000000000000000000 53118433 8707147 13234307 25513402 1000000000000000000 565224929 253670495 218469477 476921640 1000000000000000000 674026357 203800360 422606880 440009123 1000000000000000000 45729760 3025604 25258862 23442206 1000000000000000000 980979694 673930482 316323209 564570313 1000000000000000000 826289417 661932167 776777317 236976387 1000000000000000000 780114860 770718390 631893603 249133530 1000000000000000000 497994299 231540150 149224997 103561761 1000000000000000000 683976128 313726482 339724499 46138608 1000000000000000000 168916477 147033799 159046155 50240525 1000000000000000000 427153049 310405690 168593737 300226236 1000000000000000000 986507547 238217509 794407808 117020769 1000000000000000000 274409313 241181221 245354583 50373430 1000000000000000000 508124573 51254096 144583524 474272782 1000000000000000000 733710726 69370040 255218245 400008306 1000000000000000000 250470681 62121316 78978697 170175470 1000000000000000000 138848555 67206215 21622248 75902035 1000000000000000000 673298583 421675890 59065226 83442070 1000000000000000000 856973211 352276300 211452080 835688867 1000000000000000000 861175477 768670117 462315391 160558293 1000000000000000000 380450826 34541029 172884433 190442159 1000000000000000000 325889026 29169000 64719511 30610418 1000000000000000000 957823351 557466930 473061454 812383148 1000000000000000000 992291203 916822422 879817412 296649900 1000000000000000000 975174734 449331458 557318094 197811573 1000000000000000000 309702192 162534987 263292067 30488522 1000000000000000000 662094958 411813245 251885722 46161521 1000000000000000000 348967401 343287858 35388318 306678840 1000000000000000000 964572344 179595828 231436468 65936180 1000000000000000000 648383617 143884032 543464990 503166937 1000000000000000000 850766204 216958395 729644052 531423508 1000000000000000000 966839013 892957391 817944487 456981365 1000000000000000000 467376395 133653021 16192714 373150898 1000000000000000000 354556991 86777061 103346576 106779154 1000000000000000000 813602215 612324699 401395919 72709658 1000000000000000000 555271985 494255368 359209304 115832826 1000000000000000000 649517515 351719844 620927530 228868005 1000000000000000000 51581503 25125303 11755832 19880695 1000000000000000000 464591187 430119247 1030816 188286388 1000000000000000000 74496952 34985891 33450614 10777146 1000000000000000000 550954427 131590741 28648630 27675672 1000000000000000000 692802528 629390497 24107652 669181231 1000000000000000000 971156694 578212232 484233713 445860767 1000000000000000000 5851739 3283252 480605 3862666 1000000000000000000 399277663 321295498 32469129 15424743 1000000000000000000 636208379 625115300 570884624 499505192 1000000000000000000 961197634 358020393 660165701 825195957 1000000000000000000 965695334 965120873 938065732 664691354 1000000000000000000 38143326 33983495 4151520 11552242 1000000000000000000 831659154 762818846 820930337 607545226 1000000000000000000 37935648 22641636 18373407 31527753 1000000000000000000 619354730 375354447 138803056 587644247 1000000000000000000 407363463 118848179 80548321 6105259 1000000000000000000 460360970 424751922 330394190 382076736 1000000000000000000 407950413 301677005 209150410 48199113 1000000000000000000 710249048 79932437 175978667 707749621 1000000000000000000 549369898 94710224 386513775 269678396 1000000000000000000 566499485 366053682 552379449 402075598 1000000000000000000 921289131 601160140 829122906 509237654 1000000000000000000 292207212 74161583 31815792 267406544 1000000000000000000 718729008 653017442 86368601 31559215 1000000000000000000 776498378 684291487 285483476 67268574 1000000000000000000 166576802 42198678 26271109 53435799 1000000000000000000 983736285 481584892 330455750 272283896 1000000000000000000 933089400 130764399 692985999 931508638 1000000000000000000 827387899 491951907 104347974 257332821 1000000000000000000 526303021 513004592 230601289 399916617 1000000000000000000 108009914 46534701 91816943 63104785 1000000000000000000 42336638 28560670 455531 35611944 1000000000000000000 513648573 313003715 97243204 14531405 1000000000000000000 576127506 423056658 444250829 354396590 1000000000000000000 283131617 32832565 256794609 317902 1000000000000000000 422454078 14892535 102649344 227083376 1000000000000000000 457609082 402329130 279160157 238240228 1000000000000000000 533341393 190665493 290514470 407250894 1000000000000000000 142758475 13721619 48953208 122731749 1000000000000000000 540312453 509218356 393418458 271380993 1000000000000000000 671434452 66315724 147589889 131655708 1000000000000000000 454530630 398248830 131534557 93927938 1000000000000000000 714689730 486084097 613773453 694227680 1000000000000000000 66085043 52269733 42090321 39712356 1000000000000000000 992995414 802765114 623894600 265592796 1000000000000000000 237754841 227846111 82253569 65545978 1000000000000000000 813650331 212447904 734242347 679816808 1000000000000000000 768247003 709332423 110960326 156013208 1000000000000000000 825114820 308259839 190597044 690568030 1000000000000000000 811814551 768718600 638862675 776622110 1000000000000000000 156810497 11378346 122076328 63406046 1000000000000000000 407463298 335148413 139973961 274750311 1000000000000000000 89107503 23259934 69027691 82571679 1000000000000000000 162736759 29500295 43095788 35236888 1000000000000000000 673369411 419850121 13368833 94831921 1000000000000000000 963499787 714934010 813541019 719643414 1000000000000000000 147234295 110856235 62438570 105750456 1000000000000000000 473448373 187934510 54340692 383441303 1000000000000000000 362955131 249593417 1484622 211570453 1000000000000000000 213109932 121516632 213067902 99499608 1000000000000000000 513237981 287686105 234989962 298627209 1000000000000000000 298161318 264403090 18887516 2522968 1000000000000000000 986648201 104604924 985846331 694824745 1000000000000000000 900663715 200622890 34026456 323053605 1000000000000000000 611008608 423385310 495535787 38008227 1000000000000000000 533106733 305437027 512891410 410712312 1000000000000000000 486690678 196668834 100556822 97706735 1000000000000000000 227683981 202544804 48483332 115489611 1000000000000000000 699327905 311580369 561393401 613366606 1000000000000000000 771522483 497115011 237982273 286649105 1000000000000000000 711110023 611426160 327380839 38283421 1000000000000000000 910916813 566941671 493152682 826852927 1000000000000000000 770842579 287180755 18229448 432394832 1000000000000000000 693680705 323320036 522106577 381083778 1000000000000000000 357786997 107986364 333277746 8995531 1000000000000000000 2077622 446457 1068341 1572892 1000000000000000000 603739969 82939159 471622414 236165623 1000000000000000000 263132814 27291855 222475564 195681052 1000000000000000000 652829962 625793397 520011607 539276109 1000000000000000000 807244147 237759325 721536606 772339038 1000000000000000000 773208459 507244095 23944023 416576075 1000000000000000000 978798665 724091922 794193981 861347526 1000000000000000000 363491282 3235125 260630053 117945269 1000000000000000000 958664437 867447445 517572145 623816592 1000000000000000000 359455230 217562485 289151385 152342166 1000000000000000000 845995948 296561451 563751679 625440474 1000000000000000000 532013370 240396291 446505673 139308605 1000000000000000000 976951021 480411779 382900478 420296858 1000000000000000000 292720608 110413690 28098633 178633852 1000000000000000000 832705251 591236319 413683588 206794971 1000000000000000000 188525810 95866715 72450517 61365219 1000000000000000000 720245613 399293607 189299986 326048334 1000000000000000000 806617162 796008614 89018021 435165140 1000000000000000000 869153528 187904758 842504015 472918239 1000000000000000000 329361739 92798686 211114559 105900971 1000000000000000000 801786533 709662598 152247287 296174450 1000000000000000000 305061919 229156850 42936813 275583157 1000000000000000000 115813791 62889314 20424067 38213802 1000000000000000000 744248448 230434260 164708868 526526522 1000000000000000000 941593645 176988114 843312897 654802549 1000000000000000000 481086938 460463536 352122005 299287411 1000000000000000000 167164477 164377323 91459612 695361 1000000000000000000 750880858 81747552 330010737 374447394 1000000000000000000 815966872 803077608 115869581 28588599 1000000000000000000 200486684 30446458 83383236 51847042 1000000000000000000 643210519 60574013 410565133 82517581 1000000000000000000 860764416 375129883 805674405 631832119 1000000000000000000 835152848 737307094 32995825 429705906 1000000000000000000 986250757 75863181 805308293 978851821 1000000000000000000 651992982 112525811 105583837 5382295 1000000000000000000 231393408 231015574 51461908 230657658 1000000000000000000 186083607 168411199 28352905 118464903 1000000000000000000 75222133 4454260 13789818 52489598 1000000000000000000 999598802 509747345 466759341 459739222 1000000000000000000 263972776 95850484 24843271 230099643 1000000000000000000 83171934 35248841 19205424 78231345 1000000000000000000 775691425 84684752 597150643 760650454 1000000000000000000 308109343 240665033 294530329 106706980 1000000000000000000 976643959 644720839 862981071 521835333 1000000000000000000 574898693 68695302 93603670 230747903 1000000000000000000 359199068 279901340 312009860 146944289 1000000000000000000 687803089 164596150 88146076 493962476 1000000000000000000 376087916 266350301 227970182 352523766 1000000000000000000 276866275 181807521 49282940 273438283 1000000000000000000 666108289 509347484 201498083 598234851 1000000000000000000 680215593 140902106 574576857 366055349 1000000000000000000 960123197 460795710 751849826 532729622 1000000000000000000 241449226 4996454 234232719 176761517 1000000000000000000 630175885 286826734 255449530 49553216 1000000000000000000 802600526 457179898 436773963 651828719 1000000000000000000 281750308 6373094 183274126 138399528 1000000000000000000 196679276 168046412 64294313 152282451 1000000000000000000 383104234 239595455 369715250 64294791 1000000000000000000 543117180 315912576 188739778 489617157 1000000000000000000 876089324 498957814 604658388 797318098 1000000000000000000 409940815 270445802 45487156 264833341 1000000000000000000 326305436 313512442 121122582 140211269 1000000000000000000 795174011 732621443 524994368 370008914 1000000000000000000 285714036 209912901 91729756 32983461 1000000000000000000 54690319 52024644 13622435 5190039 1000000000000000000 647155111 529512149 26398910 399864849 1000000000000000000 402086341 189798023 202787578 279156089 1000000000000000000 221228508 184349531 33017146 131358647 1000000000000000000 569786671 535300624 312525733 112503445 1000000000000000000 503243677 396796345 114521681 250423754 1000000000000000000 214155934 167034191 193680558 40437442 1000000000000000000 241136964 174880220 228693282 119541874 1000000000000000000 362369718 221111049 287226411 121675610 1000000000000000000 472315415 321803908 351562707 414876584 1000000000000000000 349291355 225036837 182505032 312948862 1000000000000000000 811596389 484205392 490998852 452255581 1000000000000000000 169730150 134765631 5170239 163564101 1000000000000000000 111271292 77838965 89606524 64928314 1000000000000000000 739034015 502284144 2682584 655573763 1000000000000000000 469447683 202972390 111608109 370954421 1000000000000000000 908281240 61014833 623176605 452937365 1000000000000000000 915283801 1391610 848877376 33496195 1000000000000000000 896816467 67892723 865912820 275492535 1000000000000000000 107112475 103387496 49910466 76781215 1000000000000000000 670802518 176043741 459165635 72975150 1000000000000000000 865059423 600399192 863949540 53517015 1000000000000000000 470671040 245601050 45972934 274728413 1000000000000000000 702882773 350052206 136942914 324744187 1000000000000000000 38343469 17795811 26020428 3095967 1000000000000000000 969029730 739014866 885173627 714630456 1000000000000000000 94616564 70339401 82009260 33216412 1000000000000000000 891485733 650095415 645620210 513560387 1000000000000000000 450576573 258306609 55186927 125667452 1000000000000000000 531727034 179929537 260104675 261658156 1000000000000000000 163167033 64734073 66407346 77015354 1000000000000000000 431304265 138059267 390812001 129257219 1000000000000000000 672288920 579225558 438669600 65599094 1000000000000000000 554692935 425519575 448990170 475292353 1000000000000000000 324780494 184487976 5411631 100879695 1000000000000000000 769889812 761513748 733312987 119672040 1000000000000000000 42681986 5113748 7059239 3688234 1000000000000000000 477079489 367382907 195553497 264289083 1000000000000000000 948756872 896614313 353047023 486885216 1000000000000000000 953146621 284767295 797466190 342196271 1000000000000000000 434318078 71476622 307111591 385105407 1000000000000000000 703488990 626331504 561594988 175770056 1000000000000000000 701815292 530229954 483838010 661671518 1000000000000000000 560609704 492207526 430014972 530394313 1000000000000000000 928401830 629415711 801740282 3780956 1000000000000000000 300766557 110464931 143361641 107542365 1000000000000000000 496510987 402075870 127486751 11838671 1000000000000000000 627201232 525361735 178579127 569704962 1000000000000000000 441803320 183561689 241131928 419591211 1000000000000000000 84708018 84050196 60814666 76009973 1000000000000000000 450155729 448040734 355046859 286029695 1000000000000000000 979274549 663705938 387034560 880319610 1000000000000000000 3943116 2365780 1893259 1694366 1000000000000000000 988273362 247779972 454542764 783992620 1000000000000000000 935689294 794559586 156235805 713908902 1000000000000000000 506809621 374080048 311239188 283653120 1000000000000000000 778796241 486209731 141781088 362900122 1000000000000000000 651521018 257371677 33222824 421363805 1000000000000000000 666627945 49296533 664865276 591681640 1000000000000000000 904470460 569541630 334438848 710244489 1000000000000000000 419919297 275742440 17250754 1704499 1000000000000000000 272243570 127434609 58109957 102742021 1000000000000000000 112654878 52592011 84786776 65318497 1000000000000000000 73172816 45008167 56555485 39155026 1000000000000000000 789829948 442012828 190179729 429457262 1000000000000000000 41242722 10446753 1560914 19218270 1000000000000000000 589549280 570461545 70469067 238131225 1000000000000000000 639270167 210181451 467606147 616780886 1000000000000000000 651193166 569207134 505245071 247203220 1000000000000000000 597912755 10544216 308289940 85983082 1000000000000000000 349541832 133707277 315814673 324518838 1000000000000000000 719937221 356214336 674735124 702195923 1000000000000000000 933229913 554012526 234549466 741160724 1000000000000000000 321052916 77301467 166296603 141253864 1000000000000000000 367880280 311175529 248580846 89597782 1000000000000000000 599549001 172009238 547966086 296188034 1000000000000000000 343047734 28804677 15137669 160089162 1000000000000000000 859987754 528157200 696148517 286189420 1000000000000000000 557510982 296820982 5657822 533686729 1000000000000000000 106700462 88525181 23921578 104760123 1000000000000000000 413522193 297993920 142122764 97150051 1000000000000000000 155622090 8494246 38951218 391968 1000000000000000000 521129468 31231192 85982338 56673256 1000000000000000000 562876781 263719146 327156864 160328817 1000000000000000000 524687079 225072129 371114058 208794007 1000000000000000000 148819581 120439707 4210388 113146389 1000000000000000000 351647771 31938100 166891156 20680701 1000000000000000000 902353309 471778764 211482331 156856611 1000000000000000000 323023204 173545404 241687103 24345592 1000000000000000000 84684630 21887404 6436569 27181145 1000000000000000000 168158754 20203476 131663377 106949166 1000000000000000000 959406156 135619199 197099429 80078709 1000000000000000000 155453567 89769276 43032012 31656752 1000000000000000000 398199179 43090715 63558215 271211411 1000000000000000000 710513952 458207458 630384039 333339436 1000000000000000000 879829470 338039193 557687074 388343910 1000000000000000000 423855271 260875416 169628805 309826932 1000000000000000000 799074192 63184279 466288682 595467791 1000000000000000000 945039584 81128251 107801118 718051660 1000000000000000000 66929130 47583379 23862904 36652823 1000000000000000000 17346890 14892607 3901665 1436517 1000000000000000000 644056087 528765666 455123098 490108397 1000000000000000000 568322995 443035483 281040063 370847809 1000000000000000000 472889935 447569816 305048128 53988978 1000000000000000000 393698769 250321183 107795531 10214516 1000000000000000000 646052085 464936762 525072141 195058719 1000000000000000000 756580838 242649731 409166226 517276605 1000000000000000000 590044316 271919314 389056872 186111069 1000000000000000000 461175617 338014640 372555600 308056257 1000000000000000000 302647399 1202126 292058676 233821832 1000000000000000000 932443158 45852489 529720972 154570282 1000000000000000000 14530720 11728116 2506109 87647 1000000000000000000 401923961 258817708 390783358 87369687 1000000000000000000 341422541 45898762 89890174 179112868 1000000000000000000 507627406 371655455 143675071 291183665 1000000000000000000 156869156 105078433 52522328 93772511 1000000000000000000 606681292 316045557 224846215 63838415 1000000000000000000 76206405 35224214 71579207 12975221 1000000000000000000 709277460 170634196 661343292 487574384 1000000000000000000 228257119 124328180 21704952 138907441 1000000000000000000 229309295 16158777 162309782 41775624 1000000000000000000 357321990 9179589 284976514 209817918 1000000000000000000 392389328 183141770 339591481 152732498 1000000000000000000 555353880 12912063 52535501 66656749 1000000000000000000 785332289 252355727 150638468 116035851 1000000000000000000 163919434 98931449 149919312 37397760 1000000000000000000 937603853 196812405 491714577 605887354 1000000000000000000 984966567 981855364 762421326 703266038 1000000000000000000 30730831 30468816 6172053 22479893 1000000000000000000 101415105 58525784 62599316 70354563 1000000000000000000 617349990 602787056 136175283 339701859 1000000000000000000 789666453 591804643 34660370 273000925 1000000000000000000 57182351 46821274 43080748 54929941 1000000000000000000 594525014 286700015 38412899 556355568 1000000000000000000 986831344 268903185 204643823 514361077 1000000000000000000 666487039 259754009 329854277 357846994 1000000000000000000 364094923 316720537 115924707 72426614 1000000000000000000 579586252 567250709 536229589 560515834 1000000000000000000 855281360 659248490 625834034 717068083 1000000000000000000 696310077 673463752 621150064 306812925 1000000000000000000 596649073 415673900 595228942 281553193 1000000000000000000 908618857 475011660 345240327 197036113 1000000000000000000 935700140 295042580 704374220 718523729 1000000000000000000 67819878 29458469 6372116 31844091 1000000000000000000 731221837 103679634 628431545 594525074 1000000000000000000 429775558 412131795 213658940 307240753 1000000000000000000 822792214 533268171 174763206 64954752 1000000000000000000 722425941 259767501 255862570 720433129 1000000000000000000 366407150 94487254 148853547 71161818 1000000000000000000 785481308 491408015 550483072 747787434 1000000000000000000 988096214 519048074 367804893 366469561 1000000000000000000 400200796 243294446 8576507 312959394 1000000000000000000 45403695 39631336 29706720 30731030 1000000000000000000 522340276 307247794 223759968 385980560 1000000000000000000 528459663 349250719 444128454 188725355 1000000000000000000 819992914 215438833 375658527 49906151 1000000000000000000 281361056 235201123 186752370 107501188 1000000000000000000 905990537 716301428 441083899 798569254 1000000000000000000 11555524 9930744 5820051 6759169 1000000000000000000 245476056 3960014 167557762 32368801 1000000000000000000 317648049 137420685 209840764 175938491 1000000000000000000 917549352 510063943 335118222 89979447 1000000000000000000 997439362 867921428 238176788 701613446 1000000000000000000 213194557 168164244 34219523 3800882 1000000000000000000 520358862 138286531 167741733 104191007 1000000000000000000 56727502 5810732 42720561 27849895 1000000000000000000 365584987 21344362 166990286 134202618 1000000000000000000 993541355 963026241 595057207 52783407 1000000000000000000 316742789 66521185 226791320 311061047 1000000000000000000 81893894 2066747 70717717 65529348 1000000000000000000 606978624 215928224 52898161 153338331 1000000000000000000 663292951 95560762 441140471 506052815 1000000000000000000 738050914 120142622 289011041 728934044 1000000000000000000 972824011 262237377 657409344 347157112 1000000000000000000 294806733 215276419 199136560 100539342 1000000000000000000 201797048 98150521 41225003 30745844 1000000000000000000 670551480 350854458 68599710 531379267 1000000000000000000 930417967 709036505 675800055 276249021 1000000000000000000 663121303 661716370 436463390 78080665 1000000000000000000 99765137 24233694 71515337 74971710 1000000000000000000 521963617 92022094 129835078 265283445 1000000000000000000 286510981 132389028 43210243 221744176 1000000000000000000 377475549 349974749 39718117 358685319 1000000000000000000 928424670 245012930 47696431 559776396 1000000000000000000 677387610 321235264 54505846 138975223 1000000000000000000 975816954 897099330 500030927 650562665 1000000000000000000 337091248 71642839 313848601 22784643 1000000000000000000 197029354 63505431 116859402 11509229 1000000000000000000 146406721 104218247 121653071 80469941 1000000000000000000 894390990 258634598 266165817 413735310 1000000000000000000 81607216 72770315 8470479 69700898 1000000000000000000 153104900 61960637 110764049 75414719 1000000000000000000 119031003 24465443 21237549 68632373 1000000000000000000 715323645 447785932 499549301 293579653 1000000000000000000 994915874 490886443 195301408 696717919 1000000000000000000 832400655 739422502 207225983 628645391 1000000000000000000 257302299 119432102 148974106 245905124 1000000000000000000 700102838 389847744 17658562 206428481 1000000000000000000 31185737 15625326 22098096 9079882 1000000000000000000 947309994 480939132 14514440 506360312 1000000000000000000 557874310 369968332 80945604 341546690 1000000000000000000 886514303 272855778 430814551 36905319 1000000000000000000 417841179 264533281 308389311 193971334 1000000000000000000 125015904 93311181 107762107 44870622 1000000000000000000 784828752 400266008 606833878 586043454 1000000000000000000 435298117 289139228 295559570 350827089 1000000000000000000 197566914 131588248 124063997 76532764 1000000000000000000 183300676 48583142 99112440 83896156 1000000000000000000 115430194 64993544 114196990 28580607 1000000000000000000 175176572 124313399 111849942 117885569 1000000000000000000 498382088 92467418 438221693 374940704 1000000000000000000 556885466 201659706 49148388 542745830 1000000000000000000 469513065 141528514 121317478 304733097 1000000000000000000 206618802 168044432 5587687 156085732 1000000000000000000 760606539 395840005 626215693 227420861 1000000000000000000 79974740 53457077 39289251 60102441 1000000000000000000 624117840 527730697 288075105 386661836 1000000000000000000 741770336 6417075 600582646 735420258 1000000000000000000 914441489 352030365 399815693 54165543 1000000000000000000 49507460 47324739 20620070 26684032 1000000000000000000 781563185 451954550 369235707 4702015 1000000000000000000 47721035 14508697 36975282 232197 1000000000000000000 943833926 169999026 503852250 305179735 1000000000000000000 434586421 66815679 376848227 175210135 1000000000000000000 635227353 633125035 532173216 345924992 1000000000000000000 856134148 502264311 149099663 648465254 1000000000000000000 762395835 398103415 370055886 686367167 1000000000000000000 732936775 426872948 248804731 699734433 1000000000000000000 412451051 29897684 269038097 108115069 1000000000000000000 588039185 244936348 46788693 279479796 1000000000000000000 57890327 45792464 46686317 4491716 1000000000000000000 355152582 306858230 288293729 56271955 1000000000000000000 805888824 373628930 531566258 155420695 1000000000000000000 569306055 51409669 229825011 150928025 1000000000000000000 395900271 107665158 257723179 81202127 1000000000000000000 24840332 7159647 15718282 13554820 1000000000000000000 432196896 371088386 87228823 193944581 1000000000000000000 94829239 67296663 16582950 31683112 1000000000000000000 834851446 402110335 624575241 453593689 1000000000000000000 895549100 459180523 887636313 636571412 1000000000000000000 279412878 92636430 231363805 139731347 1000000000000000000 245769668 161393267 92845120 117581504 1000000000000000000 974138006 162728185 219347818 627776664 1000000000000000000 102157789 60580386 12571585 14569878 1000000000000000000 837967646 733946908 568207725 300531783 1000000000000000000 11651656 59906 6939109 8057188 1000000000000000000 13714479 9683174 526503 9491328 1000000000000000000 265194576 164869807 151588845 56546450 1000000000000000000 946225909 575845042 671823269 565265634 1000000000000000000 205013136 144570804 111979121 184408414 1000000000000000000 342562052 238687608 31393808 164484303 1000000000000000000 843926218 709104851 322283486 27306566 1000000000000000000 312231570 129417270 125190145 97873714 1000000000000000000 200349091 158408316 154057995 147799773 1000000000000000000 681409002 126392839 264276242 304272808 1000000000000000000 590180549 340571179 397630036 397043146 1000000000000000000 174491285 60605444 78310405 18109994 1000000000000000000 573055000 543243405 402004267 145249679 1000000000000000000 851799398 159869970 550659952 610038348 1000000000000000000 987908392 831253648 730051425 14992801 1000000000000000000 258830929 2830067 172267011 73750024 1000000000000000000 514038484 247301763 424308941 182478183 1000000000000000000 224710784 2724841 140796508 16697652 1000000000000000000 61692479 40360434 21012016 23425840 1000000000000000000 443420736 196907665 19552781 240290836 1000000000000000000 249232335 103349016 223087488 53888905 1000000000000000000 444276462 356098206 39054589 87856318 1000000000000000000 43155587 37528382 24788925 11441547 1000000000000000000 930743412 79914895 44490668 744798569 1000000000000000000 774383345 611981928 307266945 455578699 1000000000000000000 521645352 507586696 378177437 306548343 1000000000000000000 385287540 355308683 95598733 60349937 1000000000000000000 26009578 14849311 24431844 4396441 1000000000000000000 926660067 804332081 542340680 26559164 1000000000000000000 141944717 118930623 55015468 46917011 1000000000000000000 876766389 230231968 331889542 300198689 1000000000000000000 211646107 66491354 140095671 14966609 1000000000000000000 747962875 229137550 300132248 79108059 1000000000000000000 628696365 282111910 403118170 561828765 1000000000000000000 590709678 345431445 338973307 371916950 1000000000000000000 195397585 80343821 191818392 83025397 1000000000000000000 28757249 11300991 14334077 25668316 1000000000000000000 136414501 33633635 7264231 132014247 1000000000000000000 321613823 271022670 311400463 98298693 1000000000000000000 947858616 445427466 145772798 315559850 1000000000000000000 696593727 311814822 296356246 564574360 1000000000000000000 668851494 271524734 641342598 335850160 1000000000000000000 216461979 158287011 70003406 157088829 1000000000000000000 803441846 732127088 718868942 488221518 1000000000000000000 933888063 293953886 362946709 33857621 1000000000000000000 726137308 220034452 30188762 702082695 1000000000000000000 952841741 146924412 558937013 86543680 1000000000000000000 658447555 269078195 46344463 579476060 1000000000000000000 231912655 207958181 139341484 69279698 1000000000000000000 744020628 734630301 451920269 248335350 1000000000000000000 831342797 394856782 747293794 532927196 1000000000000000000 808059455 316154262 274042559 566824137 1000000000000000000 883328247 766412003 138406576 132712157 1000000000000000000 771264363 638313258 219767726 301631838 1000000000000000000 671279458 83323213 82502395 657086064 1000000000000000000 326823067 311820569 321122582 50605866 1000000000000000000 301778185 276043904 28279380 156142613 1000000000000000000 599573934 403217003 365342016 274174338 1000000000000000000 761066744 644392108 539072766 418829549 1000000000000000000 628292537 164848356 66876691 599727033 1000000000000000000 728628587 394327579 474144024 433389057 1000000000000000000 330875246 90968484 221845913 67878980 1000000000000000000 43858237 18896598 28282201 18671274 1000000000000000000 540339185 339159471 351246166 286928742 1000000000000000000 608773349 27090617 195476572 496000509 1000000000000000000 463598573 11581721 408250 235286129 1000000000000000000 956901461 228521997 181865143 224774715 1000000000000000000 973306609 911665010 688650005 198919531 1000000000000000000 508402783 86455330 380884339 158036927 1000000000000000000 833804902 781580243 337522846 19042271 1000000000000000000 418877797 135124042 271870720 95327869 1000000000000000000 616248910 384881763 493496905 109642765 1000000000000000000 132706604 112195368 22274870 98907896 1000000000000000000 79565549 30343984 12911751 50591418 1000000000000000000 351614467 253509917 33960017 145547698 1000000000000000000 425210809 131482042 148586763 109264938 1000000000000000000 780639194 5207322 447130055 225249077 1000000000000000000 698987162 456180505 398916935 597407218 1000000000000000000 712699452 648600387 384618111 93820867 1000000000000000000 495925264 476261741 36681029 454492048 1000000000000000000 696176538 457733924 233376228 530420677 1000000000000000000 220357257 54018787 183719561 78495720 1000000000000000000 860093149 122980575 403395194 648813139 1000000000000000000 847055104 368828603 332074830 570803594 1000000000000000000 602865722 577048416 131377998 233915973 1000000000000000000 993755995 291283091 541976696 230917247 1000000000000000000 414900871 173921340 378190070 9836236 1000000000000000000 480181439 277377403 207620195 442248429 1000000000000000000 183715110 17615635 857794 119266811 1000000000000000000 118361977 42721555 38235521 90311346 1000000000000000000 390736313 336674721 128308520 146009246 1000000000000000000 267306198 236153431 27558573 192399419 1000000000000000000 828250307 185754012 497941239 724359662 1000000000000000000 787781588 336779008 51483004 202913157 1000000000000000000 539655322 381209725 429866342 266858419 1000000000000000000 946063660 571154648 187026385 373876334 1000000000000000000 920794772 268297865 905772935 481140894 1000000000000000000 425778068 21996458 285692847 273990074 1000000000000000000 858711922 777243726 429500016 760541336 1000000000000000000 474402322 222876956 295267722 293866958 1000000000000000000 512716332 91608011 478737122 148881592 1000000000000000000 229827391 63308524 12981480 204843626 1000000000000000000 370428364 144377168 263092988 313365600 1000000000000000000 698120449 475543366 93308063 638475646 1000000000000000000 44281054 39292639 36562176 38673559 1000000000000000000 222005313 190421060 27347604 200321079 1000000000000000000 88938927 25348420 77273255 33682537 1000000000000000000 834017020 691486085 828289755 329177762 1000000000000000000 983287929 201030300 452734295 698575223 1000000000000000000 760573585 405107642 287294648 235647284 1000000000000000000 537390926 45690906 537274289 411870336 1000000000000000000 645804215 101026957 459464169 132670984 1000000000000000000 862852560 545324920 446781777 696129839 1000000000000000000 64734714 59631365 44442992 19250333 1000000000000000000 46903452 18601264 1197825 16334159 1000000000000000000 28973916 3212747 2354284 9659367 1000000000000000000 980499957 3536094 636601456 395572052 1000000000000000000 328784729 122008375 207575142 187954240 1000000000000000000 926802102 819446853 666786715 342309921 1000000000000000000 788313748 161359089 189030699 705967411 1000000000000000000 890549640 794202216 321593832 701891090 1000000000000000000 136750429 6010695 32485068 126854228 1000000000000000000 252688369 114553322 100807002 34724273 1000000000000000000 594180944 149248232 534809839 332986155 1000000000000000000 267089908 216628767 226746541 123720902 1000000000000000000 189081451 122457092 168470625 57709408 1000000000000000000 105522875 51893060 10037141 49571554 1000000000000000000 760012598 745288591 125443337 291109237 1000000000000000000 766867123 32795984 241305590 271553651 1000000000000000000 470200402 124156742 462975234 583649 1000000000000000000 469740871 274280071 62840826 246984214 1000000000000000000 841400687 338812461 610385031 707241027 1000000000000000000 603176433 412996529 281931044 199224594 1000000000000000000 27322500 6826062 3930763 8955244 1000000000000000000 605955078 106325256 18568872 515934294 1000000000000000000 574139620 30701241 415637971 17788898 1000000000000000000 531434921 222341887 276093829 467030691 1000000000000000000 359805731 287328112 78006942 134472468 1000000000000000000 631427788 589938885 107219938 396916545 1000000000000000000 365624747 320870541 143621969 158780618 1000000000000000000 914623985 561855716 699917539 498790212 1000000000000000000 396197020 72942289 11426507 198796789 1000000000000000000 191818404 54642709 110324950 48218965 1000000000000000000 452258921 33907171 398779788 25191032 1000000000000000000 593698766 552486353 500113854 355569907 1000000000000000000 351724727 333338780 328851435 283479327 1000000000000000000 782833857 20706635 714702849 504547857 1000000000000000000 174025775 108929274 16799173 20242068 1000000000000000000 136238129 136234465 131876026 22915717 1000000000000000000 751523004 97842370 706258564 143292493 1000000000000000000 874136561 112427701 379967524 559849336 1000000000000000000 794023576 30620582 88623672 131383702 1000000000000000000 727816613 165306510 382453441 438565929 1000000000000000000 306481625 261203702 171656677 86841803 1000000000000000000 133350876 131372050 63695697 31649302 1000000000000000000 595708870 123844418 493462104 517491513 1000000000000000000 379391181 299519309 335903635 15838779 1000000000000000000 248316973 132585061 33558953 156336895 1000000000000000000 242524395 203778611 221781730 75589112 1000000000000000000 641900809 169601712 72821067 407158593 1000000000000000000 869158554 615424218 203806234 373266973 1000000000000000000 486043619 152785340 144244089 182602004 1000000000000000000 46361954 1510349 44183030 35521903 1000000000000000000 755218901 682268793 452302519 740215624 1000000000000000000 854104373 603896475 462506884 332257190 1000000000000000000 440188519 262323368 439062514 381546152 1000000000000000000 756076210 467383964 241516298 679871705 1000000000000000000 271132178 150058395 22498618 119673056 1000000000000000000 555479868 202622794 484417299 96675949 1000000000000000000 868078259 647264525 115722514 673464997 1000000000000000000 569108183 470806370 354155819 359773437 1000000000000000000 860393431 707363675 596611049 464286264 1000000000000000000 168656716 57999334 59138643 118423959 1000000000000000000 611509226 292902002 553094623 168485926 1000000000000000000 289665984 164239074 155331556 98637298 1000000000000000000 815740828 630903483 224659037 586695111 1000000000000000000 517537226 398615069 274850994 140665507 1000000000000000000 317866710 139653317 10495366 36405756 1000000000000000000 571980225 255129846 351168887 554588051 1000000000000000000 278442387 184240088 77223398 57213300 1000000000000000000 420600613 264315 137291754 191257629 1000000000000000000 307873750 207581899 260052323 256457119 1000000000000000000 379495063 166013482 31600076 342294888 1000000000000000000 130848502 107874560 115353097 40382584 1000000000000000000 808409322 774459613 393612395 535310988 1000000000000000000 674805965 574484740 289190034 335424811 1000000000000000000 765859230 166198784 602644334 133624548 1000000000000000000 596045795 394619078 73130773 127463848 1000000000000000000 635781320 518277434 8543273 326865406 1000000000000000000 30448151 15956997 9505610 713262 1000000000000000000 860177972 541759604 846520046 532789959 1000000000000000000 562340739 265648292 447962313 311285169 1000000000000000000 512719551 69033725 432442998 146376981 1000000000000000000 982404833 304844094 162899846 426635065 1000000000000000000 818573930 222377883 280846520 18217864 1000000000000000000 784517054 683111230 202664618 162004463 1000000000000000000 544320134 18793812 474118558 352090314 1000000000000000000 861463949 389772876 152115579 535903392 1000000000000000000 702665737 573386884 500745830 442520034 1000000000000000000 599052821 539361957 75274263 118845800 1000000000000000000 665825558 339291339 84882912 637814050 1000000000000000000 317508090 241069123 284745933 12846298 1000000000000000000 564748515 335429864 447938828 559640684 1000000000000000000 815326031 176998508 740089682 740670144 1000000000000000000 943927002 157376876 775285979 403307857 1000000000000000000 124057226 111618504 56172464 104069323 1000000000000000000 805186377 168337722 603084116 801788583 1000000000000000000 346728677 264114487 169785411 35729250 1000000000000000000 891582443 467513178 474281664 592091976 1000000000000000000 158225064 123897709 38168943 81601618 1000000000000000000 156768959 73967542 26163800 154657674 1000000000000000000 215262606 163182444 78561520 144050256 1000000000000000000 159149283 12900390 153552275 151892327 1000000000000000000 958174672 889376735 685576419 602858329 1000000000000000000 91626300 49145166 51394386 22698973 1000000000000000000 614584707 179982874 207524940 608439038 1000000000000000000 785433080 9041881 677263643 668175005 1000000000000000000 827400878 728825306 742249611 1849650 1000000000000000000 294696024 187117395 257378691 121083747 1000000000000000000 153287907 124923467 11120535 64771029 1000000000000000000 647518290 100391300 641740439 192292597 1000000000000000000 559411557 487618153 318492054 328250233 1000000000000000000 254584815 35076422 79226597 1572850 1000000000000000000 460728179 458239453 201943435 453827770 1000000000000000000 580731162 554652549 204043114 46769877 1000000000000000000 589890228 580332710 234303444 84447144 1000000000000000000 81525282 17711558 54390424 75042902 1000000000000000000 561319963 342155209 387635160 321819064 1000000000000000000 207469385 150711989 178903776 103567258 1000000000000000000 923851239 872092980 177220222 422153502 1000000000000000000 57937211 32328768 11909711 31797540 1000000000000000000 230835061 149670874 141447638 170015225 1000000000000000000 483945545 288468566 441943409 129517372 1000000000000000000 17141771 10684407 13538360 4566177 1000000000000000000 156365144 43606165 100707826 121762044 1000000000000000000 642086077 369813775 365018276 386924674 1000000000000000000 660195363 644142533 243109879 267698867 1000000000000000000 369232678 351300411 106769049 267674266 1000000000000000000 737035990 519889988 144541904 114951801 1000000000000000000 737141636 638052844 86060729 484408340 1000000000000000000 583817242 126312230 76422428 419868605 1000000000000000000 501225676 98917245 272259657 210894696 1000000000000000000 802727566 333679083 391013654 203513268 1000000000000000000 558710600 393612 342879222 350469014 1000000000000000000 202926507 27856272 151882978 164106701 1000000000000000000 973886905 540859063 803840857 62425996 1000000000000000000 240011211 91440223 178449463 100881644 1000000000000000000 681173236 317748048 678873975 271276869 1000000000000000000 865581964 858093646 850402286 250076866 1000000000000000000 274862720 138627583 201555097 37421898 1000000000000000000 834624770 289181920 393203555 519554677 1000000000000000000 909125423 761695624 212609312 739611863 1000000000000000000 416013150 108194412 117429487 170978703 1000000000000000000 95463526 24809239 72957616 22205523 1000000000000000000 605137221 265230366 260671658 429565853 1000000000000000000 218488762 194166948 52144447 96491767 1000000000000000000 48667635 5594066 33398486 7217713 1000000000000000000 311204741 262739623 284240658 86104139 1000000000000000000 687974825 490617426 231159460 396056717 1000000000000000000 808838030 726582521 735256125 462944244 1000000000000000000 32959501 31703954 28229210 5267796 1000000000000000000 517340902 282363220 304498728 346081835 1000000000000000000 906426704 754969560 152666921 649128259 1000000000000000000 388097791 312534106 172786809 75885042 1000000000000000000 611852665 170250642 111040380 319151918 1000000000000000000 411075851 345038932 391910177 33470361 1000000000000000000 937091581 729030864 318327331 471985838 1000000000000000000 782095774 29756122 54156616 765196951 1000000000000000000 843343847 821084632 627809146 269702656 1000000000000000000 411927285 295663921 242014846 300048228 1000000000000000000 956226587 915432968 289488682 313797451 1000000000000000000 586419488 278410229 538245145 65904602 1000000000000000000 565453378 413761666 31565888 271108057 1000000000000000000 896869181 117415378 349059770 349985744 1000000000000000000 640598947 285599575 456028479 333345778 1000000000000000000 709490696 174674923 321651097 175421235 1000000000000000000 41851243 7450445 41452264 15825536 1000000000000000000 595480721 489209407 272438788 353679474 1000000000000000000 99502735 14669692 89502207 89134728 1000000000000000000 226156922 43606353 79851700 101537342 1000000000000000000 49531760 38884415 10201566 39370532 1000000000000000000 886345672 497501128 347003951 257495877 1000000000000000000 321821580 202161336 67571076 70050491 1000000000000000000 799712667 46036784 760225333 429843347 1000000000000000000 18536626 14197636 6861821 16878444 1000000000000000000 88033164 18513637 67067625 38383921 1000000000000000000 44171712 12602830 7400892 44083216 1000000000000000000 336289806 303820115 217682471 281211757 1000000000000000000 140592116 43235180 138202511 61586159 1000000000000000000 819299373 192972225 18538461 438360912 1000000000000000000 874371892 156157450 135564338 713759922 1000000000000000000 368220752 187247490 16737913 354613277 1000000000000000000 312975203 75259405 236365951 306574181 1000000000000000000 927883106 703873211 132687728 19950075 1000000000000000000 173860599 88992890 47856750 110545520 1000000000000000000 919293139 27824588 433697630 560032937 1000000000000000000 120312296 87296572 63754961 37686370 1000000000000000000 308653077 162136150 308136864 139802066 1000000000000000000 471081269 369048377 4648181 296497056 1000000000000000000 337668207 10998369 158147807 148292290 1000000000000000000 406966591 122845243 347567059 331996582 1000000000000000000 486140395 21955071 120537784 193687823 1000000000000000000 707715290 162220285 409988515 508838853 1000000000000000000 635966184 559934322 185110349 317772637 1000000000000000000 394897433 362106698 309262350 137555072 1000000000000000000 877254691 75741163 232734561 355715211 1000000000000000000 94030908 62864118 71464680 22367739 1000000000000000000 372803885 317126350 100344671 181131124 1000000000000000000 322455157 140674857 234033979 274637830 1000000000000000000 784615220 319869451 400740234 419733258 1000000000000000000 959324948 102576512 105074981 430484410 1000000000000000000 229863215 2738309 120365829 101880462 1000000000000000000 149564074 60775321 145000818 96904735 1000000000000000000 323200631 170139965 314503811 202140876 1000000000000000000 819039195 28525106 641699774 570308838 1000000000000000000 977520212 334181153 750934808 758654631 1000000000000000000 950333392 256099122 20576657 96323892 1000000000000000000 752280201 54989515 694992176 342260981 1000000000000000000 956183694 110022241 797554173 183024241 1000000000000000000 270205221 229066916 191580549 258646938 1000000000000000000 71139602 51699184 42469812 31526943 1000000000000000000 291946092 71457436 257675005 204589124 1000000000000000000 647348234 348814425 164915217 448794968 1000000000000000000 974309889 125128867 360018397 137848263 1000000000000000000 244985244 122281677 14752508 55750700 1000000000000000000 13009516 1798649 10639646 12673297 1000000000000000000 143189698 59957741 15291942 63498419 1000000000000000000 397180457 37093184 35288575 104555329 1000000000000000000 115203456 100979027 10064479 60814645 1000000000000000000 166052946 84367899 28879972 89967421 1000000000000000000 438128540 353857153 271072115 298802535 1000000000000000000 345103161 313865790 17115434 301566520 1000000000000000000 546401102 116730497 365803212 333752101 1000000000000000000 736961947 709431282 188476055 434241798 1000000000000000000 735699424 198727304 42497690 166613438 1000000000000000000 571656530 526544975 303082495 326965551 1000000000000000000 126226207 95738610 37082017 31331655 1000000000000000000 149825755 121190782 6702236 66005040 1000000000000000000 603934986 333599472 63504650 200189082 1000000000000000000 117281557 101226820 31099084 70270838 1000000000000000000 800735636 501536897 661472777 13997878 1000000000000000000 495532134 164543995 353869318 132179378 1000000000000000000 238171160 165579446 49509016 81012148 1000000000000000000 118844606 7439491 59787738 19036081 1000000000000000000 297105719 42097774 110328897 123512373 1000000000000000000 954877977 611835763 826365842 297439356 1000000000000000000 644081845 458589124 77812917 553627810 1000000000000000000 166825918 68356829 9363305 12887155 1000000000000000000 114425341 59051331 73376697 30899190 1000000000000000000 871601674 796499160 13656308 581022351 1000000000000000000 960203343 413763514 791843827 685929041 1000000000000000000 431715513 8039835 274494103 254600827 1000000000000000000 381681846 242147083 293844174 271165617 1000000000000000000 817555869 177252269 182074665 413875413 1000000000000000000 82932686 44266913 61654729 75526517 1000000000000000000 700953105 252938921 507903610 202537917 1000000000000000000 326729037 130186511 9875916 276250513 1000000000000000000 121983419 115215528 21531834 188635 1000000000000000000 352867875 134265542 217882126 99613830 1000000000000000000 491941467 307292267 351354677 10809620 1000000000000000000 14861995 7274224 2904290 6471209 1000000000000000000 255964159 119128663 38389251 59567124 1000000000000000000 899113052 58813320 814603318 77247266 1000000000000000000 376296467 208658864 350639573 30286888 1000000000000000000 387484584 173532437 138677932 237066497 1000000000000000000 902031678 1460933 841276782 388970033 1000000000000000000 476862466 444905227 192842992 263776424 1000000000000000000 889411957 484860217 252383074 382304691 1000000000000000000 893171940 535158479 624063366 228629500 1000000000000000000 228502564 191211753 105044998 1843691 1000000000000000000 433538493 181328458 207212486 388623971 1000000000000000000 880822874 366633033 527534260 690760544 1000000000000000000 485074750 123693694 261713592 68665628 1000000000000000000 264990428 45367524 121754794 36141710 1000000000000000000 68189138 14479286 7398532 62910572 1000000000000000000 658207896 601059159 352060083 163908183 1000000000000000000 25123934 7876834 24399307 3974973 1000000000000000000 472435673 48853144 122416166 146669502 1000000000000000000 471526590 45635170 311333817 241146382 1000000000000000000 644388800 347614602 337998363 159748587 1000000000000000000 628365618 421252308 94851544 355146749 1000000000000000000 49699603 29451125 48875702 23273313 1000000000000000000 313911628 159908211 93008098 294876108 1000000000000000000 441477473 344438445 38916962 107993765 1000000000000000000 851097 518377 828926 720452 1000000000000000000 260754450 236820121 161944762 15219591 1000000000000000000 539123248 239714539 472354299 211371130 1000000000000000000 607214939 303628650 404212652 446731488 1000000000000000000 924279783 3344965 382039161 268503040 1000000000000000000 199223092 161015058 26156289 187110094 1000000000000000000 616178210 519490505 29445437 184100672 1000000000000000000 463640885 22664054 138374481 138880452 1000000000000000000 18967716 9015614 3601666 4864283 1000000000000000000 866779959 590374250 524369357 852144903 1000000000000000000 186851067 103690315 162001401 159562335 1000000000000000000 80049611 47697856 34091269 55849331 1000000000000000000 439518962 304044897 53725996 379914384 1000000000000000000 925047216 738855113 183281649 459197078 1000000000000000000 843554599 109789564 710035546 692918134 1000000000000000000 674133714 194155804 315111309 512994546 1000000000000000000 399037587 57103383 265839522 85711932 1000000000000000000 470632197 468371221 379174470 249019363 1000000000000000000 923856210 795369141 153208080 809912633 1000000000000000000 26871142 3017914 18174265 7987041 1000000000000000000 770663473 105476360 343874978 443878242 1000000000000000000 92920838 24658668 41090113 4006216 1000000000000000000 517749929 420747802 140765412 75125596 1000000000000000000 602072539 446393815 470199234 158086782 1000000000000000000 968911712 145128269 59332100 567184736 1000000000000000000 101111336 88697236 53333800 34968208 1000000000000000000 336970687 226334492 139432519 195252595 1000000000000000000 783938666 424805316 220379150 531363483 1000000000000000000 515894576 199106894 195591636 94811555 1000000000000000000 651759264 415610959 245639979 387165205 1000000000000000000 472574037 218332416 449637058 20584157 1000000000000000000 760456386 675702332 42189529 189647265 1000000000000000000 82295015 52323395 40292996 81815303 1000000000000000000 318658730 95895031 248107853 250241327 1000000000000000000 208871445 42226390 26939197 155544875 1000000000000000000 331558768 137467103 294402451 90607953 1000000000000000000 916553431 588297340 107362273 560402587 1000000000000000000 934648128 272619583 460490955 148564116 1000000000000000000 748137161 509214124 117302737 3641810 1000000000000000000 38633591 15732845 20146771 14713957 1000000000000000000 561509396 479559465 19178676 73820942 1000000000000000000 205124142 189626614 37254541 73023931 1000000000000000000 550604407 393269129 210545998 276117477 1000000000000000000 918103303 264715038 4728795 875882931 1000000000000000000 654092606 50707471 367957132 474710504 1000000000000000000 149010034 54175294 124514047 3246787 1000000000000000000 362464311 101570065 227349596 46417189 1000000000000000000 176260710 136392143 7876223 6518705 1000000000000000000 745322331 260449772 684552891 251734658 1000000000000000000 920692917 495897211 506955822 131488886 1000000000000000000 689481698 344482647 414115758 42214406 1000000000000000000 509204242 102971013 66053625 293135832 1000000000000000000 752093106 48849000 725846782 389979967 1000000000000000000 796214895 471368241 141344795 180122411 1000000000000000000 19137378 6982071 358477 14542503 1000000000000000000 246554995 151259958 238859858 9839683 1000000000000000000 737612959 661478938 394778195 210095480 1000000000000000000 544045874 224660173 365614963 323958511 1000000000000000000 489865269 404875998 41278093 16025679 1000000000000000000 650358070 210739568 226807794 576825617 1000000000000000000 347201372 258824090 252061938 77902598 1000000000000000000 808696560 168955106 29756528 295886203 1000000000000000000 217515440 206168433 108728129 17535594 1000000000000000000 275613270 44683963 181557247 240238141 1000000000000000000 498839299 439735027 398797918 199749856 1000000000000000000 132682832 87395269 82986678 435026 1000000000000000000 289754781 61654236 170799749 124275459 1000000000000000000 64025951 4526220 59431331 24396420 1000000000000000000 91997320 41795149 32750408 5876874 1000000000000000000 746055324 238507635 403570181 158244298 1000000000000000000 469722602 249669669 6389432 321559928 1000000000000000000 671829048 507769387 87635669 68220093 1000000000000000000 816622161 374141080 609502684 689780164 1000000000000000000 179031612 174129407 51256911 133970413 1000000000000000000 759391814 188539145 592888285 449738335 1000000000000000000 128187241 57987463 82838312 89399174 1000000000000000000 264537256 195317795 142917976 38187826 1000000000000000000 417946794 340654016 343770054 108307313 1000000000000000000 920848691 594154969 707817654 618206644 1000000000000000000 590702710 224716070 163056273 554319237 1000000000000000000 71983193 62475403 60414599 48844611 1000000000000000000 876655272 781601653 494875641 12498920 1000000000000000000 344648135 197510998 327747195 24091039 1000000000000000000 822242301 15694450 233048858 589407002 1000000000000000000 481372325 315295662 20143692 317772751 1000000000000000000 949903203 721699350 915147626 451078401 1000000000000000000 483646225 128336322 42970275 26729973 1000000000000000000 130554063 40571722 34385547 71830678 1000000000000000000 548534706 84173038 477653078 255793854 1000000000000000000 978036115 503924678 46811856 454140637 1000000000000000000 11270804 10935224 10809289 1814473 1000000000000000000 308026369 114253618 307659468 169664905 1000000000000000000 948204030 685397876 687564154 808883254 1000000000000000000 491058505 76553103 242413914 83928099 1000000000000000000 328449895 122802934 312758733 243158710 1000000000000000000 588922796 18439782 421953073 214345384 1000000000000000000 528194261 164467402 358542322 255949487 1000000000000000000 86797429 5014759 62902209 32980883 1000000000000000000 441189129 289064040 309438491 146637065 1000000000000000000 532859080 530854886 386890536 299495867 1000000000000000000 456934236 94287630 16629172 182224499 1000000000000000000 898464138 525791296 661061618 806992544 1000000000000000000 753168111 659757710 723047502 640702475 1000000000000000000 776887501 425343910 340815894 465410819 1000000000000000000 390243426 38098148 253229467 196173782 1000000000000000000 634093959 136560248 616980011 417483300 1000000000000000000 776020777 584804868 95417875 667719180 1000000000000000000 550100271 377728721 99628991 299376189 1000000000000000000 753225144 709634605 624814324 270728391 1000000000000000000 758368559 618994318 344186205 556955364 1000000000000000000 176598844 24584614 11707637 79674250 1000000000000000000 682023167 187856114 644266013 504706543 1000000000000000000 563384400 257603285 505715384 3601320 1000000000000000000 406016212 385107669 70939011 309899805 1000000000000000000 519150421 174297231 183725324 112966530 1000000000000000000 931394564 716354282 514683762 810110158 1000000000000000000 770433870 414814260 183454417 307995409 1000000000000000000 494714152 98967058 493536385 320446931 1000000000000000000 168859890 3838303 133623588 65216605 1000000000000000000 94572613 21942559 27925299 21189092 1000000000000000000 653358630 382516067 52145269 299415767 1000000000000000000 233404015 41290371 134841579 98535561 1000000000000000000 766710105 173598993 530002807 260190545 1000000000000000000 393130210 386701743 91324963 247405944 1000000000000000000 908088823 632395561 728737504 248057801 1000000000000000000 374598997 263227613 219482398 190373819 1000000000000000000 188494025 51035218 32895986 116688162 1000000000000000000 383061069 277542928 234632864 230063500 1000000000000000000 655461506 501037771 417551295 126349310 1000000000000000000 991646307 685162154 762505976 690091856 1000000000000000000 567609283 117245365 333437123 309162285 1000000000000000000 533912839 211986303 355133278 321720853 1000000000000000000 710398916 190024123 367697691 522785243 1000000000000000000 252049020 36308349 10475688 55560278 1000000000000000000 457342555 257690928 446327249 343049833 1000000000000000000 569924270 378072622 210017689 328447736 1000000000000000000 394013388 119651355 289269768 8727631 1000000000000000000 978642287 934006077 867288519 100553527 1000000000000000000 239351410 139765015 208324568 223170811 1000000000000000000 209695625 127601288 89377772 74989371 1000000000000000000 962419730 439392009 13407985 174722329 1000000000000000000 928007781 277217331 587645394 323910018 1000000000000000000 222074965 124252025 155873309 215622896 1000000000000000000 555945034 131932011 67926811 294520756 1000000000000000000 561693478 470022619 556803257 86686648 1000000000000000000 42337053 21727160 41742000 8907255 1000000000000000000 924818294 490915602 632465555 111025492 1000000000000000000 15042335 3648795 12641924 2373089 1000000000000000000 347430253 341250240 282263149 8494385 1000000000000000000 875745510 142480596 667453728 769002235 1000000000000000000 442504899 66276396 411674913 91907930 1000000000000000000 286666958 148638250 99827174 44081896 1000000000000000000 285044695 108451406 7219461 238815969 1000000000000000000 872144500 871213108 13573249 449658515 1000000000000000000 707085014 133577628 397967007 323763150 1000000000000000000 643074388 559610615 364282284 483874756 1000000000000000000 505409785 92859633 100985718 450400045 1000000000000000000 367144330 102764057 325764386 362407450 1000000000000000000 372399596 358419483 26829087 23403871 1000000000000000000 485109378 393414639 62733065 206755651 1000000000000000000 282413997 197526158 139028164 225487796 1000000000000000000 369316925 327153792 81562825 48562029 1000000000000000000 89862766 25534607 61332149 67525835 1000000000000000000 885209030 18595984 510650645 480516361 1000000000000000000 460957487 217679587 28122579 207938695 1000000000000000000 545207947 492262294 275763659 369264035 1000000000000000000 384026453 313519284 29835420 127491328 1000000000000000000 32559503 12144827 11546252 1960583 1000000000000000000 408324783 174383082 89614380 379910922 1000000000000000000 853531688 815373704 721696712 312675216 1000000000000000000 650115028 354388555 169413203 462108444 1000000000000000000 420602258 165041603 193680604 363307103 1000000000000000000 213621164 184723041 187481533 181034594 1000000000000000000 480589403 392753469 89339159 270312651 1000000000000000000 395107765 103136431 74361596 189655234 1000000000000000000 598827028 382872188 508995421 440071401 1000000000000000000 351763817 298012162 102954897 56951781 1000000000000000000 756787967 164551828 83059676 729598945 1000000000000000000 50352289 41887516 4653820 14435478 1000000000000000000 284669775 233662583 198206850 68716230 1000000000000000000 446668351 277313544 381984940 349891789 1000000000000000000 784447372 354325855 672484120 538851951 1000000000000000000 700055663 474057807 535570086 154580176 1000000000000000000 742184715 279599872 634357905 727063411 1000000000000000000 120992906 86314330 21898226 65346927 1000000000000000000 736662473 63668624 37180415 242228328 1000000000000000000 784579164 441730094 702960848 668260050 1000000000000000000 421645348 259706183 261406912 122421242 1000000000000000000 16432761 6302019 10219003 10889359 1000000000000000000 376694986 264804679 268547913 355598997 1000000000000000000 767600998 449943332 488763918 148962445 1000000000000000000 230539962 144617204 36836325 189219295 1000000000000000000 428281392 351937353 395981124 152360486 1000000000000000000 344191692 134747369 274687887 147635649 1000000000000000000 595668166 381549114 392802886 588836126 1000000000000000000 808546462 232877361 202857642 336174432 1000000000000000000 433330177 268389736 233480936 70396101 1000000000000000000 545132779 188195676 346420526 60226674 1000000000000000000 807322844 88312638 412363357 20581673 1000000000000000000 833770321 54835457 615666950 50680040 1000000000000000000 89881600 8790174 81854044 82665501 1000000000000000000 974143512 551850551 401019244 468546472 1000000000000000000 282569557 177263730 188079745 206801283 1000000000000000000 996796939 926863373 637666860 808184170 1000000000000000000 764778665 451970558 614060725 110659047 1000000000000000000 742257368 416884798 692118813 51212461 1000000000000000000 762964349 134504906 160163478 550039341 1000000000000000000 508664495 39831731 401659179 255039792 1000000000000000000 460349331 419556666 123986161 15207903 1000000000000000000 281570800 125201597 5835710 175993575 1000000000000000000 742128945 348228460 677308057 488003030 1000000000000000000 520224151 471849354 118526402 163886351 1000000000000000000 453118378 74974178 52767256 138583638 1000000000000000000 729230627 654155188 325261753 711075328 1000000000000000000 429505586 99708043 419748145 279520583 1000000000000000000 255289955 104012746 88950360 76549244 1000000000000000000 626635599 542532586 521632758 114253421 1000000000000000000 889249065 704980220 745916883 301828780 1000000000000000000 36755215 9264494 31411492 19763829 1000000000000000000 115699829 92644006 80718198 6491453 1000000000000000000 148774301 120498331 126397026 19572825 1000000000000000000 72734703 64095053 27529313 68992128 1000000000000000000 99378747 38867358 48947766 55042583 1000000000000000000 910231652 588178289 267747581 5122766 1000000000000000000 733997405 520365500 489004200 99275773 1000000000000000000 853818035 848121340 22910195 530559237 1000000000000000000 484124104 176786474 340592760 453885224 1000000000000000000 626038914 413040361 410440436 288081555 1000000000000000000 912226946 891251171 357166876 819039951 1000000000000000000 920812400 747715950 64885889 311809805 1000000000000000000 547557781 256724171 251319578 517114841 1000000000000000000 794530584 521385570 376029896 322867624 1000000000000000000 366647050 130866989 19086613 325851054 1000000000000000000 559776906 526498818 540816130 26176057 1000000000000000000 585435539 56887889 268789860 347009426 1000000000000000000 745064862 270875277 38967083 668222639 1000000000000000000 251356802 159981881 46498403 86037351 1000000000000000000 516607317 34559017 482551100 175922264 1000000000000000000 204743444 134060482 160649643 133110037 1000000000000000000 426333632 35050726 183484193 155137569 1000000000000000000 79546615 70047970 9120487 73319793 1000000000000000000 979742197 587020468 443416363 667739987 1000000000000000000 646969095 536271630 121824336 182289728 1000000000000000000 165887796 30493383 80901888 120052794 1000000000000000000 277231047 77171968 130269008 95247075 1000000000000000000 78366583 70283406 49527206 46264086 1000000000000000000 482760863 180739343 275286982 70011486 1000000000000000000 175520506 76164679 144727587 54228186 1000000000000000000 98337064 9047303 52064186 7640427 1000000000000000000 340687830 98454843 89358554 329038353 1000000000000000000 285638172 93170855 158687226 34869691 1000000000000000000 545230268 69567796 498518955 325171590 1000000000000000000 926303558 352450625 568890537 267960872 1000000000000000000 829954103 468331114 389775 214802644 1000000000000000000 128352791 98214557 18926333 111130125 1000000000000000000 278009259 265717256 223337749 12864207 1000000000000000000 715969500 486896610 85311486 527235530 1000000000000000000 709432144 262918405 374588646 312182173 1000000000000000000 772463271 631057841 559739607 538100567 1000000000000000000 414820842 251231240 65554185 58815042 1000000000000000000 302759220 289089302 13012339 184295374 1000000000000000000 875866944 695653223 601466803 677106455 1000000000000000000 901627194 249347672 399664848 398676393 1000000000000000000 13105726 10417731 1156895 11272385 1000000000000000000 381567189 98796300 305070452 42149794 1000000000000000000 964781012 686718757 387944365 713149366 1000000000000000000 292746873 280405186 180659112 177087012 1000000000000000000 464999646 335523107 20734122 361712569 1000000000000000000 204071606 130656052 154182035 25517927 1000000000000000000 398980018 37376969 239982117 67582746 1000000000000000000 467651761 132850921 443379343 391491238 1000000000000000000 943018858 504358852 100789417 94154202 1000000000000000000 619779296 539926963 361997325 495264120 1000000000000000000 782144529 48149377 429195026 746609691 1000000000000000000 114663875 48901666 27394434 72029675 1000000000000000000 325830747 45778576 53840422 27959669 1000000000000000000 980120399 956983413 425367962 434886988 1000000000000000000 874168385 704098293 395476293 548790854 1000000000000000000 600803989 35478540 284593186 569320955 1000000000000000000 468311691 92175969 334478160 285807527 1000000000000000000 823936610 738662558 128665539 819173147 1000000000000000000 497270392 297231740 434985538 311017126 1000000000000000000 4993176 4494320 2967611 2817387 1000000000000000000 631447251 221514970 141432632 395348957 1000000000000000000 370601502 9558009 178954321 77625525 1000000000000000000 960148907 8139277 899739915 543319532 1000000000000000000 789154115 748195910 680962521 525438413 1000000000000000000 867482347 671735470 41862850 177958531 1000000000000000000 332439997 312257821 2073837 150923076 1000000000000000000 535435223 453483976 207519008 135781487 1000000000000000000 681739675 272331600 629410681 399978391 1000000000000000000 259115060 140796345 134331183 152897333 1000000000000000000 427109195 101904206 14969439 24919886 1000000000000000000 793056754 450873159 28774889 208040405 1000000000000000000 441256222 234772088 305847210 158318941 1000000000000000000 607035696 124258509 79854730 107223879 1000000000000000000 312701718 136509338 14457 254428287 1000000000000000000 654981486 94417634 479828209 392811500 1000000000000000000 916311427 723769051 731375204 207068676 1000000000000000000 124625178 67984452 64917525 87292621 1000000000000000000 650499912 241710660 154513057 574191989 1000000000000000000 720184993 449733700 218260860 600979695 1000000000000000000 774562725 376173790 203174866 141155468 1000000000000000000 930540357 685790747 142226652 512422784 1000000000000000000 830845513 708599605 520879569 71056837 1000000000000000000 287425212 66661405 106494994 49836392 1000000000000000000 655187111 74300582 251109148 602225590 1000000000000000000 635735900 493180341 5212585 416765052 1000000000000000000 875285160 800948657 644696301 395503438 1000000000000000000 96957455 63343441 46485672 1600516 1000000000000000000 345742638 92751180 217484634 203453758 1000000000000000000 936063143 516506870 398909816 66736963 1000000000000000000 603664712 154228493 268065189 260243602 1000000000000000000 460011106 44078495 14717064 395903708 1000000000000000000 753964390 152051211 592180322 508043290 1000000000000000000 355581904 181734120 53215690 343557570 1000000000000000000 229567104 94749225 74884227 206264983 1000000000000000000 365223620 213121055 181712654 163387328 1000000000000000000 932407677 314518722 901113104 867352605 1000000000000000000 150042960 53211873 70580271 81129063 1000000000000000000 555796555 180748062 44828445 394760415 1000000000000000000 341703984 64159173 40027792 173888304 1000000000000000000 695650359 481621717 483610904 539075633 1000000000000000000 403983091 396234551 300183211 7334278 1000000000000000000 817795136 635749756 30077401 695406327 1000000000000000000 114936921 71100939 93975710 1282476 1000000000000000000 403738470 174875218 336668230 196526801 1000000000000000000 513939640 266791321 25089645 214220720 1000000000000000000 728715021 392117818 282403859 199684333 1000000000000000000 328727966 100581555 284140069 149213203 1000000000000000000 788610666 501951491 78785399 191904413 1000000000000000000 94839168 24864952 88007255 53060437 1000000000000000000 398371926 370160494 197882911 113832486 1000000000000000000 71664018 69271136 61410006 24734696 1000000000000000000 787066220 556739778 473253975 676648564 1000000000000000000 775797637 94735834 744057005 464116484 1000000000000000000 440477502 395971650 388787873 178483671 1000000000000000000 154478001 130413534 139873686 36162118 1000000000000000000 379761591 99882336 223688254 267838458 1000000000000000000 998832570 582548621 899870327 791333473 1000000000000000000 621835351 530358882 504044580 241958210 1000000000000000000 875933549 763098720 491729895 64183680 1000000000000000000 914991086 843538960 470683872 293884244 1000000000000000000 190317945 143350048 110527171 12071774 1000000000000000000 289750601 213551398 44207068 212670388 1000000000000000000 20399699 20268017 6400391 17523216 1000000000000000000 659338882 434571561 325775274 320273212 1000000000000000000 620214304 37815397 452140649 206395060 1000000000000000000 133713047 112060377 129987113 52427815 1000000000000000000 786713858 10651440 14561585 391622671 1000000000000000000 721421061 698496517 48112563 304933540 1000000000000000000 450768387 6972077 120423170 52850096 1000000000000000000 173376849 19780736 32448088 88038526 1000000000000000000 283197704 195765331 84949283 149389568 1000000000000000000 464763434 425109173 112726232 378790021 1000000000000000000 945279105 858565152 494397962 267147497 1000000000000000000 797521239 746448867 758569381 547802923 1000000000000000000 721219799 175514953 34367255 545949103 1000000000000000000 10476815 4979667 8567543 10424558 1000000000000000000 948728275 436912071 806131610 629407486 1000000000000000000 588876166 285604963 189723134 81275321 1000000000000000000 132011505 33758658 76812636 106972657 1000000000000000000 918178677 3801840 885627617 92680820 1000000000000000000 583052045 32432265 484829783 46439716 1000000000000000000 476637486 405849106 34725327 2779152 1000000000000000000 233292641 26700855 126872286 10576855 1000000000000000000 781090429 704081346 406390101 611645214 1000000000000000000 358898053 155069661 208565050 107746849 1000000000000000000 810749305 132483985 591594505 275622742 1000000000000000000 512508382 183664995 388307664 168584553 1000000000000000000 403497083 375283025 91452134 315142434 1000000000000000000 923763417 611633178 193740360 194459132 1000000000000000000 172463283 67821961 57430864 85927376 1000000000000000000 61485258 5847526 12680219 20746148 1000000000000000000 930400149 280494391 397831335 350873804 1000000000000000000 11501029 4715504 5222997 134778 1000000000000000000 186290930 59495844 88942498 97809844 1000000000000000000 189812124 76822379 186462245 45433146 1000000000000000000 228250043 87308855 84493625 118986227 1000000000000000000 392192432 160770949 90939405 179183690 1000000000000000000 988607012 211379989 350538667 404530662 1000000000000000000 552016662 306754722 208371916 300314271 1000000000000000000 59873986 1925631 5364312 51458040 1000000000000000000 151863861 7274329 106484754 53070741 1000000000000000000 516074752 298424716 228005916 278755726 1000000000000000000 56646870 11475461 22382555 7165529 1000000000000000000 511550777 426231727 180013885 13337080 1000000000000000000 185140962 16697303 95301211 110401488 1000000000000000000 653097451 404229881 20524263 492860211 1000000000000000000 514462248 247895369 156499698 401308400 1000000000000000000 328311802 143337489 217552207 143560104 1000000000000000000 338832794 149756536 169562881 172604221 1000000000000000000 748896275 352014051 421610431 29339590 1000000000000000000 46658497 29334492 30871068 40307170 1000000000000000000 253568606 124707684 13792807 138178226 1000000000000000000 494515369 92134247 1778877 316674678 1000000000000000000 393483118 297831534 273260316 296316395 1000000000000000000 733791918 474712767 139155647 717728377 1000000000000000000 135115092 119117400 101714737 8578673 1000000000000000000 604439144 437504041 370889857 482770530 1000000000000000000 932127401 75076341 527473071 276507894 1000000000000000000 256000880 194122553 225202154 93102477 1000000000000000000 483949924 227268601 249119430 122895893 1000000000000000000 173340774 28094763 139410430 123704797 1000000000000000000 36342631 9205756 10710049 17642823 1000000000000000000 611681896 40441208 206647050 247724385 1000000000000000000 492831533 313711847 463332944 326471961 1000000000000000000 403493542 243233094 142652448 261261692 1000000000000000000 571233260 356503790 270919028 428228789 1000000000000000000 223084063 1863106 6220251 177623864 1000000000000000000 379178457 215238783 260379864 331900374 1000000000000000000 30302354 9455409 23110402 10023390 1000000000000000000 226939358 190138562 205943667 70442796 1000000000000000000 44979630 4520113 10389858 278450 1000000000000000000 652342050 240007288 279903992 34698647 1000000000000000000 959808996 798431217 402428653 799750601 1000000000000000000 670912426 61806582 227345339 322547220 1000000000000000000 93799138 29001187 80732914 86722657 1000000000000000000 326160003 183257047 201967157 204040121 1000000000000000000 977284497 700919809 217529037 360215807 1000000000000000000 207749962 10065651 87113781 71023511 1000000000000000000 281394035 264631595 28519726 158123508 1000000000000000000 675339691 607669339 647341835 610841154 1000000000000000000 545271671 224265504 542309795 338716056 1000000000000000000 695484091 225797699 183254871 619500089 1000000000000000000 640808341 173495434 72380532 430686366 1000000000000000000 438712350 360955537 345501066 334157396 1000000000000000000 391124213 138277435 187689240 225639523 1000000000000000000 671692279 545724930 371819283 143835079 1000000000000000000 934825642 660751740 37353568 198788828 1000000000000000000 394942598 389360177 85333731 288343766 1000000000000000000 520160900 407382934 507718041 53213832 1000000000000000000 935257448 117263013 889786543 40055421 1000000000000000000 380883962 305259975 261262283 335240718 1000000000000000000 202694233 117447071 154888404 174811074 1000000000000000000 387184121 320794050 18877284 350538952 1000000000000000000 686013829 79128206 91812858 224005267 1000000000000000000 362077317 306462134 140994939 183641306 1000000000000000000 578846490 247263306 440653499 257048359 1000000000000000000 202893576 191770700 195771629 125185075 1000000000000000000 866048520 634884747 861189931 205417286 1000000000000000000 770559265 181579924 356396048 49003239 1000000000000000000 705918335 461031556 24180206 352311318 1000000000000000000 699580988 391441677 638542112 300309774 1000000000000000000 658176779 194226635 27118820 460297116 1000000000000000000 944591844 833409865 386850445 267508005 1000000000000000000 197542682 87777155 5128385 63369496 1000000000000000000 716359206 165326414 604898439 386626285 1000000000000000000 364240206 127644141 42197929 46249666 1000000000000000000 916910364 739931657 635172597 626429355 1000000000000000000 409314085 375325815 286038692 115322902 1000000000000000000 930446227 479675657 908648906 593812945 1000000000000000000 309334454 158649549 204323382 75887881 1000000000000000000 753441575 491771065 36139896 475420651 1000000000000000000 238667906 227494377 188995462 8528882 1000000000000000000 858403299 765349798 189037762 133183686 1000000000000000000 5036364 3054633 3583193 3354634 1000000000000000000 498304980 334888331 394335206 248288242 1000000000000000000 743267437 68455284 292414002 4012011 1000000000000000000 851155570 130557481 553782933 195703299 1000000000000000000 567054807 108605644 363256883 106923819 1000000000000000000 716706913 151328675 64933577 335926792 1000000000000000000 480320703 47668907 128986934 330258619 1000000000000000000 527161287 340786374 442163931 180092575 1000000000000000000 676651520 126980273 468735457 540150989 1000000000000000000 878561326 175076219 399244420 25131442 1000000000000000000 729176334 113697334 495281684 40592219 1000000000000000000 791000156 630598074 478439421 753326697 1000000000000000000 389189607 323347419 353115113 99332657 1000000000000000000 689544996 171535149 520132874 80533517 1000000000000000000 962557958 502915331 173520818 131082973 1000000000000000000 415181070 308669619 209790998 222211726 1000000000000000000 594533401 560739784 336532520 99283174 1000000000000000000 882336910 365934146 728702372 764583476 1000000000000000000 959841391 560231688 506927803 213974118 1000000000000000000 998200947 971882003 581679545 319862323 1000000000000000000 89497789 34443799 65150200 87040135 1000000000000000000 23243195 16268103 9141767 466190 1000000000000000000 453106239 104280817 91303020 300053775 1000000000000000000 411922446 306146173 21247019 3957827 1000000000000000000 885290757 376912824 31616141 830417983 1000000000000000000 349614684 295593719 9884596 70548979 1000000000000000000 151263880 106125743 26326511 12306034 1000000000000000000 246138261 20237473 208387750 166490951 1000000000000000000 64779663 49242266 52469383 60008075 1000000000000000000 997467203 726725568 407005604 78102529 1000000000000000000 460906942 430605069 14703926 105202984 1000000000000000000 56747719 35271863 46141259 52237290 1000000000000000000 78193418 34397887 8582934 67773605 1000000000000000000 982551313 753573800 543117642 108004759 1000000000000000000 681007137 672355364 323792529 52799532 1000000000000000000 459071617 326301226 340471434 387729784 1000000000000000000 224662629 187380583 75040639 214189966 1000000000000000000 263280705 247378443 205941860 154392043 1000000000000000000 64007050 6732195 56661594 30486998 1000000000000000000 428895382 319316860 387956059 184792919 1000000000000000000 411017929 321040853 5777000 246463420 1000000000000000000 353667366 6821741 201223443 198309542 1000000000000000000 189582551 99745400 38937805 95129331 1000000000000000000 257106534 68405695 147475454 148013820 1000000000000000000 939063188 231445306 438237756 563484942 1000000000000000000 221558099 115579338 73017231 84296229 1000000000000000000 934040020 473970031 375724816 496455823 1000000000000000000 679357580 19031943 326234323 159615866 1000000000000000000 861894214 281889498 283297317 62978922 1000000000000000000 672106704 473515403 477660558 162325608 1000000000000000000 346566152 336876121 264747961 208615562 1000000000000000000 408733547 682929 237258001 159012071 1000000000000000000 325792709 286147497 162542592 259065848 1000000000000000000 192169345 32075274 12533516 141908367 1000000000000000000 834640004 822175929 62636656 672022306 1000000000000000000 974689152 142881102 279334743 133805750 1000000000000000000 416394615 381989298 413056967 224188604 1000000000000000000 269104185 227078065 242443417 132731111 1000000000000000000 970459718 467971691 220796191 840646868 1000000000000000000 230435042 138456700 163070965 135874572 1000000000000000000 564446210 6628169 252141176 434505822 1000000000000000000 614964502 568760597 443094747 72534117 1000000000000000000 920824909 851571551 570190049 235718252 1000000000000000000 588557826 583386376 97989631 161494161 1000000000000000000 350709223 288481564 87870476 322423051 1000000000000000000 255835337 83903811 48388031 149900918 1000000000000000000 977117586 952537090 357160037 695957273 1000000000000000000 147633991 34342251 139602446 80865148 1000000000000000000 237843490 193968122 17379294 36084568 1000000000000000000 585385351 580578044 281299103 222348075 1000000000000000000 708738755 244845878 355629934 401433108 1000000000000000000 811044030 752771173 804979309 320173384 1000000000000000000 275227109 158379454 50927234 190093912 1000000000000000000 664328757 586329760 133260185 583981471 1000000000000000000 436643003 333708729 113699985 119329527 1000000000000000000 100989164 33787088 2093646 90680147 1000000000000000000 791277880 224801657 128856101 35966312 1000000000000000000 283205122 94668991 41145349 19537763 1000000000000000000 700263906 248960779 99462998 269183983 1000000000000000000 467141604 368250313 413332768 228420197 1000000000000000000 539498123 456773602 155637925 354660810 1000000000000000000 160853164 84203808 35290692 105647579 1000000000000000000 215911896 133098029 125546338 196617230 1000000000000000000 985557392 741533938 1677258 648028196 1000000000000000000 78139070 21695692 53763704 50565276 1000000000000000000 612302472 560966439 362181039 517703545 1000000000000000000 369648544 203548021 243408743 197630353 1000000000000000000 854617463 704120657 619057541 17450160 1000000000000000000 859060350 843563426 653219013 239370085 1000000000000000000 90094808 159475 63159971 80228474 1000000000000000000 374075146 371306089 114023279 136889661 1000000000000000000 161251138 123082505 53973493 131409261 1000000000000000000 337636974 217955848 99413327 118531067 1000000000000000000 230271555 49505590 136570748 71527546 1000000000000000000 337594888 295553579 155461617 221163447 1000000000000000000 505346263 394554586 211555384 5555524 1000000000000000000 238877036 12558619 61852353 18463891 1000000000000000000 103708300 30694452 6876971 68564152 1000000000000000000 158132386 135933103 25175297 28201936 1000000000000000000 469297602 123933528 297325495 462380838 1000000000000000000 360621035 58941520 355161951 235589100 1000000000000000000 628523270 529002917 607335321 511665479 1000000000000000000 628541478 70665388 418298082 394976547 1000000000000000000 51710589 51020008 24280098 42368665 1000000000000000000 390032967 373132365 381080369 295095092 1000000000000000000 867590108 666278205 535319984 500139533 1000000000000000000 459697011 237088180 333410536 116118823 1000000000000000000 699057673 327895246 267633325 517635822 1000000000000000000 395844613 34161599 389030479 2412064 1000000000000000000 584598479 477628550 256910228 156677478 1000000000000000000 929587629 806096635 750910854 607776012 1000000000000000000 792248645 279391167 344176052 269752913 1000000000000000000 1974061 244519 1767928 1580546 1000000000000000000 413825204 214330729 103680934 218691682 1000000000000000000 582814786 133967870 327101856 13478196 1000000000000000000 782547890 596555963 713160242 717791154 1000000000000000000 193997802 56405012 77496478 129057124 1000000000000000000 698518630 106150533 483157072 463318344 1000000000000000000 388122310 260793184 104584924 104962947 1000000000000000000 29382595 7908471 8958195 16796240 1000000000000000000 814648448 798974510 564406996 794183655 1000000000000000000 532928130 262777019 423800584 262557668 1000000000000000000 758811589 536660402 369283427 624258463 1000000000000000000 102522664 43144113 17395380 6377780 1000000000000000000 781988617 471024988 343292917 573069466 1000000000000000000 213227766 71472626 34969230 192732615 1000000000000000000 668268918 421939826 148351055 426771909 1000000000000000000 684654237 127549238 654416688 619380018 1000000000000000000 272251609 42609671 108852638 9224564 1000000000000000000 290475742 230524482 24338809 66857401 1000000000000000000 524111743 76496927 517335151 103024913 1000000000000000000 674358491 53135949 414000691 239957784 1000000000000000000 808631482 184435431 783609174 488485695 1000000000000000000 852598822 648599054 357884494 524087102 1000000000000000000 946746480 852324055 117805678 917824934 1000000000000000000 260897182 154067688 256433277 216699485 1000000000000000000 16368591 4716644 15441484 15523624 1000000000000000000 213464574 139550475 113048123 160007067 1000000000000000000 421643335 328335582 73929704 172142331 1000000000000000000 714594244 543232739 93541931 385778208 1000000000000000000 962698375 218496364 784067717 911997443 1000000000000000000 809107088 119587676 773580269 750429870 1000000000000000000 810577705 792690552 405184254 643633853 1000000000000000000 301915822 68293308 6076294 143843998 1000000000000000000 665752980 353010646 351864001 405466471 1000000000000000000 915353297 201454492 76384205 468183661 1000000000000000000 100574367 23891457 72460479 20754646 1000000000000000000 798502888 48540871 686734589 747995380 1000000000000000000 735361097 491762070 7359699 426271044 1000000000000000000 512079031 231973249 346222490 23027693 1000000000000000000 966373266 858774179 412785266 959389272 1000000000000000000 408492863 112014669 326100664 324974666 1000000000000000000 423828233 99747800 72604722 127851754 1000000000000000000 72289022 50611155 65759175 26041239 1000000000000000000 766389397 14004720 693196477 676093379 1000000000000000000 873206408 443936226 786385864 701799266 1000000000000000000 886128401 191669601 786833691 724680105 1000000000000000000 468303785 66593904 455655847 91072680 1000000000000000000 101828618 86230598 8908672 89278809 1000000000000000000 630856194 334561269 218020630 71704127 1000000000000000000 214696671 131735487 57385441 33547542 1000000000000000000 475100269 247926174 284838568 252159901 1000000000000000000 959643885 52020646 480494087 439413191 1000000000000000000 591608359 58635560 462868562 49915462 1000000000000000000 673436384 233448819 573551542 231264192 1000000000000000000 747952425 520088247 442172600 93477978 1000000000000000000 86729892 17604560 80810211 83347479 1000000000000000000 174535999 105885101 66764904 17021290 1000000000000000000 887263791 872639818 557495294 254835299 1000000000000000000 113932993 27494155 55027203 99422749 1000000000000000000 741335399 191302068 445263731 471817814 1000000000000000000 613787717 474606396 581588183 488804397 1000000000000000000 69256939 63874315 63311792 25842279 1000000000000000000 753729976 247320306 595623940 688205902 1000000000000000000 661269883 273974005 562823498 560876369 1000000000000000000 319801483 292034538 315586827 129966964 1000000000000000000 253034292 9879947 136405729 21885868 1000000000000000000 291506297 154220793 276395189 12862067 1000000000000000000 792639765 136182888 680612905 549777700 1000000000000000000 506553542 394962455 446748327 79769158 1000000000000000000 56900261 1717158 51202723 7532145 1000000000000000000 663156066 77964724 18102525 106357734 1000000000000000000 860561782 562673170 354309325 718062353 1000000000000000000 368649927 349316795 40765624 5286201 1000000000000000000 605268793 438654870 541408256 357215467 1000000000000000000 724633568 391149669 281680628 170818257 1000000000000000000 615465385 278738748 494663532 266733034 1000000000000000000 180002054 179163025 12513865 152636823 1000000000000000000 958280383 662584922 656798494 419696752 1000000000000000000 295929920 45906533 78580640 28056618 1000000000000000000 618118920 165386860 168882050 310509591 1000000000000000000 765879749 298426584 686299820 387706129 1000000000000000000 726518003 553813960 296236427 603720186 1000000000000000000 844035767 243021188 106331039 316128319 1000000000000000000 68269287 31457290 63126992 39482267 1000000000000000000 710729788 312367967 44454002 262427340 1000000000000000000 152718831 104444602 44868653 73992106 1000000000000000000 163030729 127452918 100885276 133935541 1000000000000000000 8058287 83118 605603 4199989 1000000000000000000 362179346 162996776 354667281 273357689 1000000000000000000 92747011 29160730 75249338 66903989 1000000000000000000 271418738 209922339 72818888 7333710 1000000000000000000 559923062 297327486 426956819 442877375 1000000000000000000 370766294 317047799 341043374 291780140 1000000000000000000 720944588 384180681 574072966 20882363 1000000000000000000 442492365 88377250 7276172 137061710 1000000000000000000 163612712 31128497 88846768 149911096 1000000000000000000 946004549 421263140 170359514 732280895 1000000000000000000 744638869 178038574 78212973 68141365 1000000000000000000 605058732 357803577 514841061 590506982 1000000000000000000 826660860 26284504 795249973 785155539 1000000000000000000 296932589 157189096 206456326 187611149 1000000000000000000 9408400 8302244 7563062 5273906 1000000000000000000 499831890 101473451 112196704 346941305 1000000000000000000 237004829 177768729 161823965 122107354 1000000000000000000 495731727 141620078 12034793 383425377 1000000000000000000 701849961 521862218 43278721 473899390 1000000000000000000 397730726 171241581 64461678 10690491 1000000000000000000 492372105 404988034 311829183 148550415 1000000000000000000 894695356 770361109 434017677 507495736 1000000000000000000 294347869 248010375 218987342 5564667 1000000000000000000 507594233 4508541 251980850 15043543 1000000000000000000 549961812 172033060 419153170 89319955 1000000000000000000 673845997 672476928 218383808 136395429 1000000000000000000 255314718 6852401 227768592 187796056 1000000000000000000 851508343 851026010 423002329 185541561 1000000000000000000 526269692 471719662 116504361 175902981 1000000000000000000 689835628 613227493 431672999 35517960 1000000000000000000 20872585 14602255 19129987 16121468 1000000000000000000 447305575 153784001 113240438 337095600 1000000000000000000 694701942 99917616 440645050 269044953 1000000000000000000 277326646 214891124 224407569 78394184 1000000000000000000 568058566 134215238 541622283 13818301 1000000000000000000 941052131 118722368 178224461 633779038 1000000000000000000 233313234 115920945 156196625 228008347 1000000000000000000 131432632 39522885 56653067 92342835 1000000000000000000 56224828 24993516 45326435 36771325 1000000000000000000 735706401 136843155 96477733 188514146 1000000000000000000 244122069 196637377 138288967 157215528 1000000000000000000 11619538 735236 647887 8094095 1000000000000000000 661599603 564021903 77833389 36140924 1000000000000000000 494162400 203937870 39948463 2375029 1000000000000000000 312747599 120207304 32383623 167744040 1000000000000000000 960305580 441023148 89226032 747354374 1000000000000000000 810258227 399625613 682608698 151076286 1000000000000000000 942673327 493755496 533189336 853856860 1000000000000000000 236835082 225139492 86841004 34933389 1000000000000000000 547842247 145605963 279915713 211356068 1000000000000000000 10073170 262866 6139446 4072825 1000000000000000000 89857658 25479507 62385275 14204244 1000000000000000000 183952069 86001900 108728180 62825941 1000000000000000000 776814968 727032030 485549230 477229447 1000000000000000000 523207705 196504577 323137255 197421035 1000000000000000000 978826898 7763662 476215995 594314594 1000000000000000000 678928310 118678930 574616119 207803755 1000000000000000000 247168475 87356086 116534411 154051475 1000000000000000000 320749819 274049383 127527895 13353330 1000000000000000000 479235384 279799944 282465360 415953180 1000000000000000000 475109403 44686454 166869686 92157504 1000000000000000000 511764698 121672331 36256051 479378434 1000000000000000000 789545150 396845867 190958381 238899081 1000000000000000000 837765904 360003350 447362185 293439753 1000000000000000000 274380294 109512891 155311763 83381508 1000000000000000000 847359038 541817571 731403741 429002022 1000000000000000000 347420348 76926752 98231942 343182438 1000000000000000000 162568664 82592381 16651994 34277098 1000000000000000000 705285031 270329411 4068097 398518565 1000000000000000000 115989854 70662074 25553551 42025410 1000000000000000000 184355288 119528991 4484248 114848868 1000000000000000000 859382019 788494434 86236881 306573759 1000000000000000000 746210988 184355314 72625005 449149444 1000000000000000000 516622815 77308999 492901319 515180486 1000000000000000000 295357598 211942030 57154460 206652120 1000000000000000000 895003186 421849481 674292354 235934295 1000000000000000000 643882270 428335835 131716839 181687810 1000000000000000000 522980450 206472690 155636115 41291476 1000000000000000000 149370771 32122180 110809238 108415164 1000000000000000000 456911016 360028352 251738968 399002780 1000000000000000000 79424275 7282616 78577942 57055293 1000000000000000000 533459364 516382305 365967568 384422021 1000000000000000000 231324463 72823809 106249623 205047148 1000000000000000000 866226237 100785246 51980781 165014641 1000000000000000000 71608371 26345946 37641094 40894411 1000000000000000000 534156168 140037031 397946906 368399038 1000000000000000000 990022183 958532996 641885760 5941891 1000000000000000000 428133391 83715778 299801434 273063347 1000000000000000000 811896302 316802514 344128595 117447794 1000000000000000000 84943823 12967421 80650407 49342693 1000000000000000000 911238845 841742783 456163571 362505972 1000000000000000000 488493242 195736009 250970176 143184648 1000000000000000000 576009637 404212690 418781207 125757376 1000000000000000000 857196943 149954575 411067234 230618623 1000000000000000000 726963909 695333006 206190621 569648754 1000000000000000000 445541003 1803300 335481105 127882737 1000000000000000000 374052981 274237242 336243246 44497006 1000000000000000000 792080170 628021768 48394525 723202881 1000000000000000000 900200726 649150605 4800657 535759670 1000000000000000000 504837280 138245557 92869159 326431876 1000000000000000000 526815907 320021994 494297055 339706546 1000000000000000000 154301792 79886887 35788732 106346033 1000000000000000000 371206312 159970429 267176849 255109926 1000000000000000000 170783378 13316028 82567261 103492373 1000000000000000000 914155541 770104517 419868660 206171074 1000000000000000000 196233710 104595597 159273633 73516994 1000000000000000000 707762170 2915469 410127373 604549223 1000000000000000000 535963689 446016087 349480860 334494631 1000000000000000000 34459757 27692462 6678674 1920287 1000000000000000000 10761931 8169039 8756157 5304994 1000000000000000000 32919659 2369446 21787257 9463556 1000000000000000000 918015177 889770940 498710054 424252931 1000000000000000000 995910090 397073855 520288833 565065286 1000000000000000000 941631047 470386145 644424887 756452019 1000000000000000000 118085472 96119072 51092251 81695791 1000000000000000000 1902004 780865 857581 989824 1000000000000000000 818713271 562352190 751378621 37377220 1000000000000000000 195896019 161781474 194807127 52978610 1000000000000000000 257829042 23681846 104092855 34296719 1000000000000000000 522963197 69304076 494782460 256860871 1000000000000000000 362490428 274864112 140213036 202766554 1000000000000000000 454299527 139075022 356785203 3298148 1000000000000000000 935212883 13233576 759862497 226649520 1000000000000000000 812558516 67080630 494039780 703701357 1000000000000000000 430210669 38802803 422055706 74923128 1000000000000000000 653390431 325757079 86095281 98441580 1000000000000000000 773838884 247276773 148500763 542441856 1000000000000000000 818014246 223855789 240913626 528678029 1000000000000000000 662707454 94854948 8522636 111105681 1000000000000000000 498421361 375021198 220759023 168783319 1000000000000000000 52766698 13954339 22286263 160836 1000000000000000000 362529703 354887829 120890478 336797670 1000000000000000000 324968774 286832094 310987804 205854391 1000000000000000000 400055077 108717230 170610145 56386895 1000000000000000000 955163721 323792160 35781849 909027779 1000000000000000000 392872425 61439543 69598632 245132193 1000000000000000000 904881591 341626636 466336813 11424532 1000000000000000000 184749601 46128417 69590816 59599653 1000000000000000000 90809257 71777456 64126148 80176039 1000000000000000000 914049732 840425493 540979478 128414097 1000000000000000000 1073412 733662 344048 429837 1000000000000000000 591870514 266847800 393767466 331850864 1000000000000000000 874855734 552499937 210987786 183651657 1000000000000000000 23463031 21824763 2960930 15112034 1000000000000000000 746932279 532117456 407910654 453376488 1000000000000000000 162237500 54897119 99993308 101896406 1000000000000000000 827722437 583936836 381994095 152345393 1000000000000000000 248950609 92415409 49947018 32465916 1000000000000000000 374855562 60634664 208004852 222314998 1000000000000000000 817626070 334179486 192644099 142939612 1000000000000000000 365558516 195228401 35218776 179139840 1000000000000000000 773741104 30501643 88525845 624848281 1000000000000000000 709118460 421556353 361528468 250761634 1000000000000000000 834883548 373228513 591777966 833600746 1000000000000000000 318592548 172862723 62027354 60257684 1000000000000000000 400412341 47951406 231659182 255482569 1000000000000000000 2413982 873778 1418070 1502774 1000000000000000000 37231099 15690200 22340763 10123308 1000000000000000000 844279419 344378156 453519613 221709062 1000000000000000000 864922609 171020735 363575847 236554331 1000000000000000000 189225906 78577627 123926147 134385192 1000000000000000000 712097546 485586541 424841119 382482892 1000000000000000000 435499531 387718735 178098440 426825267 1000000000000000000 913220801 321943139 131404849 752767205 1000000000000000000 707120034 373415700 358841982 552728282 1000000000000000000 30909810 30503240 30895059 12348643 1000000000000000000 407652551 5825195 317637071 41020842 1000000000000000000 223569624 220752493 141318095 7938219 1000000000000000000 239227794 206511316 238467906 203094405 1000000000000000000 744152107 53675367 347639101 322051702 1000000000000000000 853918648 190378180 712222223 623469075 1000000000000000000 414235823 276971750 10164101 326817561 1000000000000000000 651532983 623569171 453252754 348553670 1000000000000000000 670169074 597728881 8679870 565307606 1000000000000000000 622201892 534901767 333583801 331123508 1000000000000000000 959119232 194254951 307475474 440505688 1000000000000000000 304091867 222110805 269581063 141814950 1000000000000000000 618713372 491006517 379904438 538167130 1000000000000000000 881288606 53041179 312702869 690064171 1000000000000000000 81078116 35135297 62151716 59691651 1000000000000000000 676625899 322723830 549729394 669737509 1000000000000000000 264532908 250095479 202828552 246743755 1000000000000000000 888557084 401667838 524645799 377021472 1000000000000000000 381818857 267615741 350978663 260113226 1000000000000000000 30180874 24731535 25305474 2617606 1000000000000000000 176881373 15232781 71451977 1406037 1000000000000000000 612346698 123973322 256613914 35946045 1000000000000000000 136890525 61387168 61439117 26405737 1000000000000000000 763701222 470844671 601760191 153031725 1000000000000000000 392183001 116159364 22547793 336762234 1000000000000000000 294681300 266941169 44849375 3246720 1000000000000000000 955830649 256401712 860900164 53620368 1000000000000000000 302535394 193597142 287938301 28567481 1000000000000000000 676278871 578824475 139399637 126191183 1000000000000000000 113926974 103015574 107926519 106257348 1000000000000000000 82140367 30531357 75345036 62128188 1000000000000000000 200435843 24701034 165946916 130011334 1000000000000000000 77759749 41250689 74358888 32380699 1000000000000000000 821350307 740142949 288035343 505070122 1000000000000000000 154182741 70914610 145963088 130172574 1000000000000000000 747371243 347010856 17566621 642796900 1000000000000000000 617896120 270992191 468984318 344534792 1000000000000000000 319837308 241786645 141522638 32156832 1000000000000000000 996873739 830521061 278480719 434823344 1000000000000000000 94930014 17111046 36418172 62400039 1000000000000000000 238951885 30130538 150283748 163653599 1000000000000000000 592807993 484522656 385480750 532756979 1000000000000000000 889151145 746896542 54944289 298292749 1000000000000000000 867575274 53439022 302552249 174511445 1000000000000000000 136915552 106952784 53507840 8543279 1000000000000000000 187097718 23174176 21913899 116008127 1000000000000000000 485940946 18695959 147056993 401977661 1000000000000000000 435044725 65627235 432958621 116267588 1000000000000000000 350069746 17154460 14121194 174594868 1000000000000000000 30112071 4087754 7962492 4496654 1000000000000000000 215901663 122724633 37491321 125418115 1000000000000000000 197467475 132091699 173661180 81677158 1000000000000000000 412802764 374855129 160539696 188710861 1000000000000000000 29442688 21858541 10302494 17911290 1000000000000000000 434320157 276988582 190897297 273354255 1000000000000000000 958680646 759869982 813670820 254417319 1000000000000000000 504584023 432414732 309545374 394434388 1000000000000000000 136298841 45683342 112616565 83114959 1000000000000000000 605837077 5499737 512361662 121395501 1000000000000000000 182720727 19361548 182545150 85622999 1000000000000000000 84443705 5314640 13052377 62097660 1000000000000000000 76936508 63555542 32217895 75084218 1000000000000000000 245503795 177068145 119287960 56450080 1000000000000000000 546839406 101322757 478851292 401138545 1000000000000000000 218109610 135284664 62780562 125847727 1000000000000000000 873236722 130560001 296560251 148932931 1000000000000000000 969518852 356672222 762049490 280890356 1000000000000000000 341811279 112635245 276889169 300270535 1000000000000000000 792218871 295517551 117155379 750535766 1000000000000000000 208605257 110657381 122499008 28708393 1000000000000000000 390938484 151291852 39480641 383587585 1000000000000000000 369439362 216401836 133779901 299500 1000000000000000000 138961679 63756385 76334609 26900331 1000000000000000000 379578892 24832803 197537773 368033147 1000000000000000000 526637308 471840590 460422519 2742430 1000000000000000000 835153443 802075333 247888628 269820662 1000000000000000000 816648315 515201796 393694966 134517000 1000000000000000000 95298368 33531410 90489094 39285839 1000000000000000000 292181395 6524958 55756292 289953658 1000000000000000000 564953790 231691401 236819791 458241448 1000000000000000000 877154041 213542851 793696189 341671391 1000000000000000000 492976793 226839346 483589974 120464934 1000000000000000000 896145424 155892153 846896494 829070923 1000000000000000000 923958376 827924405 403848181 884490950 1000000000000000000 549006366 237981297 460681629 405620681 1000000000000000000 353321751 8482153 72843349 316927857 1000000000000000000 738356985 602119048 575735110 145648494 1000000000000000000 891325029 483235157 555020708 99133193 1000000000000000000 485498019 149152961 337149514 269281330 1000000000000000000 703327338 164311982 515807705 138786215 1000000000000000000 139409847 64547972 128783418 8335177 1000000000000000000 895598815 582032799 532967874 844156971 1000000000000000000 127525626 125153464 67098973 54263421 1000000000000000000 629216632 30448035 101075602 42117002 1000000000000000000 171690360 157788850 21731750 136265768 1000000000000000000 800484966 483662427 785730444 489266684 1000000000000000000 637403467 127799650 487451028 223944284 1000000000000000000 783396140 532621744 636655526 45833319 1000000000000000000 579689884 406188845 108629418 295807440 1000000000000000000 207435434 70536153 51272565 14287423 1000000000000000000 988600552 481320054 835075972 693738163 1000000000000000000 190539931 69411450 106454499 36455755 1000000000000000000 273897479 158498734 60879881 252276651 1000000000000000000 670813389 525481507 610074354 646647638 1000000000000000000 73468416 24854589 3802876 45221875 1000000000000000000 241213713 1699674 18214343 119490052 1000000000000000000 207467926 51217677 158497952 169927293 1000000000000000000 147476141 116268816 83374700 28644157 1000000000000000000 611401186 330948622 102002818 459351266 1000000000000000000 421447502 8717634 68420103 198104202 1000000000000000000 469276961 432599100 146083914 361575450 1000000000000000000 755624632 693897274 66901109 468136489 1000000000000000000 122133377 121367785 69792243 93728433 1000000000000000000 865862468 246391289 814816445 581226346 1000000000000000000 221846255 182899862 64104533 31611469 1000000000000000000 316808361 245474453 172486909 181242787 1000000000000000000 615372707 43081240 291565455 360361539 1000000000000000000 144521714 38220826 3257539 9921986 1000000000000000000 744804853 607366005 212035435 608462855 1000000000000000000 814755591 650653177 20699762 438245532 1000000000000000000 872436162 280761809 809223955 43789802 1000000000000000000 910920122 445949158 910548563 38677590 1000000000000000000 8926950 772889 2445072 6048903 1000000000000000000 457489784 224482651 30138781 92932439 1000000000000000000 138422382 99099521 96098537 23693826 1000000000000000000 239208519 157323164 148922993 117759530 1000000000000000000 279260275 92055113 268619670 1532499 1000000000000000000 759694680 300209191 324088420 304662325 1000000000000000000 439090156 3320695 145735235 437425551 1000000000000000000 651182433 85266108 234619024 183567085 1000000000000000000 537848732 272774035 71679038 74149344 1000000000000000000 8142134 1020681 5512217 3489721 1000000000000000000 212501307 192008771 153326095 26908317 1000000000000000000 747564591 379352791 301531727 156256357 1000000000000000000 464956528 341311798 239224721 296178506 1000000000000000000 985216181 229017144 30668121 833021264 1000000000000000000 864584318 227627272 435905432 11077089 1000000000000000000 752664185 230714701 167590854 396191778 1000000000000000000 955115972 208705321 423450237 246671368 1000000000000000000 153647723 56703096 57764576 114002451 1000000000000000000 863709173 116747765 175735658 727143889 1000000000000000000 49821768 46121075 40773619 42231392 1000000000000000000 3312858 211577 139211 794502 1000000000000000000 900150100 734786244 773219843 742135374 1000000000000000000 313869328 277822800 159271609 180741207 1000000000000000000 683961955 251209475 664581690 573002666 1000000000000000000 954621029 56567873 388768428 561905897 1000000000000000000 406757734 218871803 216596942 263840771 1000000000000000000 619859227 254793228 81600315 369640504 1000000000000000000 612202140 111290464 574411802 172203619 1000000000000000000 67698163 3644435 8543461 57768711 1000000000000000000 17884580 11811473 1093407 2555034 1000000000000000000 154520448 19854413 30943469 136327324 1000000000000000000 292138808 192849128 213150516 285041966 1000000000000000000 812300530 1730474 647327763 486102524 1000000000000000000 47789045 14253599 34776730 18587126 1000000000000000000 177683131 135336858 111567273 112891040 1000000000000000000 685204982 487265702 18053313 23389398 1000000000000000000 650331437 227349721 128660700 637306045 1000000000000000000 124956341 72421985 57232578 38161622 1000000000000000000 54688675 40416749 29981216 37200940 1000000000000000000 824086787 19339828 218637839 326202797 1000000000000000000 16615772 16486546 9447602 3872564 1000000000000000000 910414192 278151219 108348939 137747063 1000000000000000000 380246075 309391587 312452293 244192379 1000000000000000000 934517393 456537057 97679753 735531503 1000000000000000000 888109563 324350549 648952338 34870201 1000000000000000000 673208773 241856266 28247854 180816014 1000000000000000000 791130798 535913716 603751629 236819823 1000000000000000000 408445994 176599257 179904183 324179036 1000000000000000000 415866089 113361735 54846355 109045120 1000000000000000000 962470817 259180203 112966773 29586721 1000000000000000000 420250873 51789437 188485388 334694684 1000000000000000000 35138864 34587529 21136120 19506386 1000000000000000000 62407105 353214 52662296 30827608 1000000000000000000 292937673 77768967 107644411 116244743 1000000000000000000 998357894 873660155 402725740 372552822 1000000000000000000 663393313 495377111 560384537 542225481 1000000000000000000 800783275 211055583 6074471 529322815 1000000000000000000 577523862 114273059 344861948 296753651 1000000000000000000 841765561 97369743 120374144 103404698 1000000000000000000 512422985 150448453 466182767 39941624 1000000000000000000 4858308 795795 857070 3412598 1000000000000000000 959839496 305312660 645910050 445348160 1000000000000000000 6927247 5784437 1791208 6782237 1000000000000000000 601264643 112658212 407493403 251776409 1000000000000000000 800516269 420556856 362516582 607660318 1000000000000000000 339182833 293122431 143488942 330526668 1000000000000000000 627690402 65906800 296448801 14686896 1000000000000000000 457988499 14788487 49690999 403051312 1000000000000000000 685285138 45785424 394543811 449618501 1000000000000000000 82908600 55663938 48546935 32184008 1000000000000000000 857296272 586308561 555429888 783998089 1000000000000000000 745689361 584029196 104102774 738554398 1000000000000000000 300539474 62595830 39477795 271454525 1000000000000000000 481597469 182965886 221634474 367790680 1000000000000000000 438370055 184879230 189878966 57241137 1000000000000000000 543941826 126762842 117630996 55989463 1000000000000000000 706562881 18962223 416025202 435786733 1000000000000000000 295829323 32076744 256398788 39352422 1000000000000000000 246524172 144528582 181744682 180084237 1000000000000000000 212573385 73304105 179971094 128980848 1000000000000000000 296700838 26178258 282869666 252944245 1000000000000000000 229874235 165115955 67490932 94147849 1000000000000000000 649472579 91391169 408850481 479435431 1000000000000000000 463885943 225797111 62350629 318837880 1000000000000000000 692613848 582850829 388493755 596415438 1000000000000000000 334742157 294419292 105281838 50087380 1000000000000000000 199272566 116996652 131010420 115010505 1000000000000000000 171788938 38374198 17930634 38548000 1000000000000000000 784458318 62290119 762848769 690314976 1000000000000000000 763294481 607057722 740647409 72028843 1000000000000000000 603239361 587912260 88470865 482956540 1000000000000000000 300192942 137010084 183577074 114385449 1000000000000000000 219352879 110138460 104906676 187572030 1000000000000000000 680028499 302682969 601763498 355676673 1000000000000000000 158165096 60164222 58317260 55522640 1000000000000000000 275258258 166973244 193892546 118555847 1000000000000000000 586913445 458211425 180893084 546175343 1000000000000000000 974186725 204468269 750271050 928405208 1000000000000000000 8543533 4303115 5290719 5023353 1000000000000000000 815405572 259241576 514121756 479230602 1000000000000000000 743027653 640473068 128822154 576793038 1000000000000000000 312290346 217895508 59360273 6011287 1000000000000000000 843047659 721162948 782734945 471975357 1000000000000000000 637118488 215522040 110099111 557797594 1000000000000000000 197863819 69461008 82899133 28419053 1000000000000000000 164737361 110370964 111326499 9769811 1000000000000000000 400568953 183100339 335216163 349112917 1000000000000000000 429509528 159863858 414416416 387429651 1000000000000000000 639573914 310541171 594461704 453371644 1000000000000000000 438971276 424709048 58637915 290927527 1000000000000000000 297709387 127861674 77449294 232667271 1000000000000000000 112198055 109645794 13791128 87566468 1000000000000000000 337479851 12645374 87360980 167201826 1000000000000000000 785797819 250359187 151847739 722443442 1000000000000000000 308866076 252651109 207029200 89260654 1000000000000000000 592991209 95659528 365189061 228213564 1000000000000000000 965724332 264069319 5307643 681677981 1000000000000000000 220074273 196734937 112343915 148290820 1000000000000000000 929751069 254117153 703776401 559983210 1000000000000000000 974525874 524043664 882084967 316362012 1000000000000000000 638322558 145214564 362113342 182967494 1000000000000000000 136136289 99140177 23382191 42736860 1000000000000000000 46507467 14285220 3877270 13566761 1000000000000000000 825372748 223033666 716538723 295811617 1000000000000000000 587447326 378767509 143642937 462540479 1000000000000000000 314174510 110211695 26926611 52096221 1000000000000000000 739616361 25848626 44420548 24735838 1000000000000000000 521036910 167768770 169218106 306853631 1000000000000000000 539626222 28784931 245017745 220485046 1000000000000000000 932311410 86849388 210297604 68156703 1000000000000000000 101651493 436756 18273769 28655576 1000000000000000000 505023547 332565515 143296684 349484830 1000000000000000000 832646196 248288718 563870552 99686573 1000000000000000000 899843473 726011419 25368636 347302433 1000000000000000000 299197464 183654164 65102153 84620607 1000000000000000000 889491965 24243849 52453315 409496487 1000000000000000000 900154689 235016142 754536406 231194029 1000000000000000000 688644211 680446427 609418661 537077162 1000000000000000000 896435970 106755801 239262641 721355422 1000000000000000000 948153907 741737293 595443298 227881447 1000000000000000000 235547059 12170241 202913976 208130211 1000000000000000000 472990426 462314332 431404552 85535862 1000000000000000000 167423903 87865096 147119784 104011009 1000000000000000000 798413818 627475096 45597629 258411893 1000000000000000000 182464972 149135643 159481108 117522501 1000000000000000000 376175389 39143384 170965432 308253648 1000000000000000000 955034031 203500130 594705737 404613423 1000000000000000000 886774159 83372440 604500976 561613587 1000000000000000000 536498627 265128978 324420418 323469664 1000000000000000000 954824769 858078412 924579436 28526213 1000000000000000000 561263166 177437567 50087871 499931059 1000000000000000000 529693117 269626620 507227705 175119471 1000000000000000000 510338180 214004288 473177056 335686741 1000000000000000000 869849360 857059178 679911731 494365369 1000000000000000000 471742830 173741145 358636217 89954973 1000000000000000000 697295617 60112091 225012356 511831012 1000000000000000000 530522496 518664940 350625435 259159332 1000000000000000000 927822767 409509769 698114285 301506246 1000000000000000000 424208825 290178256 370455501 296271542 1000000000000000000 536541293 403850634 479526374 244637745 1000000000000000000 443716722 392398062 405758022 420821665 1000000000000000000 692307780 83693501 413567139 607562864 1000000000000000000 398450546 319268400 375266203 150796758 1000000000000000000 830603723 385118879 439425235 286476020 1000000000000000000 843605115 93389980 681032223 812250394 1000000000000000000 953820975 421558901 879567693 295679716 1000000000000000000 274709364 250330207 64697551 147735324 1000000000000000000 363131716 24523325 332435001 56210819 1000000000000000000 984001885 300038869 714266444 898248695 1000000000000000000 851073856 552552467 223910381 728128758 1000000000000000000 802594015 311031918 701517764 64865662 1000000000000000000 752380088 317630376 267799891 251949881 1000000000000000000 635888097 366262709 612076440 412115344 1000000000000000000 992293184 659123341 28189837 237527544 1000000000000000000 433393023 163355385 284187631 325421779 1000000000000000000 237369490 58983706 106975246 82226186 1000000000000000000 549992720 424708155 547479697 287600490 1000000000000000000 252869338 116757077 113009098 90829546 1000000000000000000 998264361 840068058 317557886 114948626 1000000000000000000 702652155 595534993 424612972 437810022 1000000000000000000 85433900 50965023 17080537 45640217 1000000000000000000 84870618 58152428 14434170 41039399 1000000000000000000 745462788 360486426 567513372 632529554 1000000000000000000 730074548 188083518 562191599 367242201 1000000000000000000 257018442 185502059 72843598 236193431 1000000000000000000 901276228 354178438 56699148 614364656 1000000000000000000 257214649 46028641 52493407 190634084 1000000000000000000 601606015 206673882 202855687 116248778 1000000000000000000 268844331 133651058 121852094 93327235 1000000000000000000 448389711 286785290 375676429 203197352 1000000000000000000 172645996 145156945 150887216 91878580 1000000000000000000 473785292 351726818 347172880 94530734 1000000000000000000 544074650 132051196 16455520 6962524 1000000000000000000 425412877 92464087 266945687 277004875 1000000000000000000 766784686 437408061 489625991 314159324 1000000000000000000 290660946 1926307 3299776 186681423 1000000000000000000 983632145 271970415 143892301 858237636 1000000000000000000 539215842 291336760 68476373 154749159 1000000000000000000 814699652 520504198 662885802 188894953 1000000000000000000 166496975 42061687 36397547 58353542 1000000000000000000 161496796 131330018 160235192 118437665 1000000000000000000 874218670 176253048 579166069 844302786 1000000000000000000 394744046 258672183 319230521 306606007 1000000000000000000 919807107 374529976 524975444 50554612 1000000000000000000 889297623 260238121 272265306 192573196 1000000000000000000 453896162 390045460 151819320 278705588 1000000000000000000 913231790 540434411 260616614 390150823 1000000000000000000 982860294 42388030 681739604 327217026 1000000000000000000 472867230 465140862 72481313 279491776 1000000000000000000 371163957 140005178 114897870 118625404 1000000000000000000 827825068 486401761 66555994 582192071 1000000000000000000 629007348 552125949 225342367 432784176 1000000000000000000 170963443 7100185 121526251 92176831 1000000000000000000 672501516 651636486 592848394 6633274 1000000000000000000 25994125 3146664 24687199 1416599 1000000000000000000 649379255 328574323 27805069 595709000 1000000000000000000 384605949 373350144 331408082 32997952 1000000000000000000 307664402 166846460 233264474 168788124 1000000000000000000 620597440 131016887 375772087 388380610 1000000000000000000 753224683 186475757 569711218 488810018 1000000000000000000 802237731 783039522 720026664 357332679 1000000000000000000 811261952 77944617 501411700 628805764 1000000000000000000 856044594 327022751 257054242 420500874 1000000000000000000 688378307 578347601 541958568 611374134 1000000000000000000 996680302 441709603 928682103 175234130 1000000000000000000 266743708 115643851 63538110 250580149 1000000000000000000 198837966 174616188 38974797 157687081 1000000000000000000 289445674 2226518 182649453 66825517 1000000000000000000 280308422 57198882 247578705 124888378 1000000000000000000 74449709 18650413 69047039 22256470 1000000000000000000 610895579 98382869 32607045 44218140 1000000000000000000 992349204 18282711 867628619 23386008 1000000000000000000 584329086 571775171 214801290 351208682 1000000000000000000 127364374 5491090 91660306 73274024 1000000000000000000 195616728 17103196 153101116 104376622 1000000000000000000 745477861 432154781 623735468 401959102 1000000000000000000 600527376 537071729 332018929 11430137 1000000000000000000 773310151 484191724 491142407 122726336 1000000000000000000 322330704 205662352 308211704 184076467 1000000000000000000 983081918 131351764 412108650 272204976 1000000000000000000 763000010 3527212 395068112 578347171 1000000000000000000 584713393 110087983 461360091 296784456 1000000000000000000 903488848 679662136 688422656 253628159 1000000000000000000 147319752 138653140 115210223 51816586 1000000000000000000 45340106 39196211 41789992 41317384 1000000000000000000 573763077 257237669 469449072 61017245 1000000000000000000 324159525 89274490 25834767 62137927 1000000000000000000 524617409 183173526 367813908 240598609 1000000000000000000 168418118 85580184 64596275 12486753 1000000000000000000 777255497 356362915 634606116 354873303 1000000000000000000 98054903 86793743 43385178 71295190 1000000000000000000 968547118 619024627 667557142 937185935 1000000000000000000 952986186 53606299 246013893 85394302 1000000000000000000 325484052 301274860 197850691 167791218 1000000000000000000 379527375 293981731 108120057 97747614 1000000000000000000 388281586 58998681 35184404 138435751 1000000000000000000 886228682 582436723 516289884 780755711 1000000000000000000 399394468 278311348 324471416 263644162 1000000000000000000 58954805 50215146 3814324 47463173 1000000000000000000 961322148 34085326 817632461 870053975 1000000000000000000 881985148 401700210 787734445 236531583 1000000000000000000 975881813 966345060 730305509 680222362 1000000000000000000 683094551 341740373 50728544 14948848 1000000000000000000 371521784 145014970 416716 113825782 1000000000000000000 691738355 39384109 576232191 505300419 1000000000000000000 892446478 372655440 822566760 18848219 1000000000000000000 205168628 78306290 176626097 158125682 1000000000000000000 732729716 731387601 54728322 34296588 1000000000000000000 830360896 458469086 707785363 406867072 1000000000000000000 747982275 725071465 494864146 585606214 1000000000000000000 12658655 1531992 6330459 6863369 1000000000000000000 654530994 155588248 119561768 467153529 1000000000000000000 173655030 138122923 155580683 107102846 1000000000000000000 860659090 680862189 9465502 516543046 1000000000000000000 700958727 602437733 417094119 42680488 1000000000000000000 241427975 213433118 70442233 215913629 1000000000000000000 580735801 535139126 134668174 443287122 1000000000000000000 202311250 98299799 56561224 60413159 1000000000000000000 56562945 55243670 22575245 6749071 1000000000000000000 146839538 116100327 65958195 75324533 1000000000000000000 533501712 121566490 170976123 383887421 1000000000000000000 995777153 631021877 529964932 526835303 1000000000000000000 987008202 883376674 225912839 152172257 1000000000000000000 929409999 586129272 727911470 697438965 1000000000000000000 926243500 502724952 789851144 294288667 1000000000000000000 718136139 519066966 376489775 492553710 1000000000000000000 599827909 521255022 88703633 224786182 1000000000000000000 694331957 49475019 261286514 177715260 1000000000000000000 52209676 18786198 29456481 1856920 1000000000000000000 306504227 82489921 174919419 255214417 1000000000000000000 955165141 56258021 62960278 241842894 1000000000000000000 811029989 426196122 206553910 617441301 1000000000000000000 153555577 124504619 74978358 8957850 1000000000000000000 345217588 262961863 36229778 40711939 1000000000000000000 47246592 990328 38075429 5316952 1000000000000000000 690544120 484314917 558980818 99485893 1000000000000000000 644153030 600114940 513757657 393535304 1000000000000000000 659017582 117770642 42896978 103218169 1000000000000000000 924155713 469099677 777639243 56539140 1000000000000000000 155308252 92608710 132628958 55327237 1000000000000000000 232583115 68880082 191324736 64244294 1000000000000000000 24593107 4642143 14016527 15140251 1000000000000000000 294483725 222508583 84178969 63269697 1000000000000000000 452613578 251318312 283030014 164342033 1000000000000000000 712040133 205409692 167656887 534130302 1000000000000000000 967038365 224536984 142306938 247478034 1000000000000000000 885787889 619419700 212549281 217762910 1000000000000000000 770644375 148829223 87245594 259609229 1000000000000000000 421289857 270021365 128462882 250615105 1000000000000000000 60525197 34861080 7013077 29013279 1000000000000000000 828467908 213661435 698691874 166657710 1000000000000000000 368675904 203465914 261997680 225307560 1000000000000000000 113454569 12011385 98645719 111453016 1000000000000000000 6181426 5893631 4652837 3554510 1000000000000000000 73040150 69169352 20483468 31429831 1000000000000000000 270368433 27266047 163207195 62195214 1000000000000000000 339556660 41891943 253018488 111880348 1000000000000000000 734465255 465369226 572615470 127357018 1000000000000000000 837077336 818016350 20515322 335549999 1000000000000000000 267126675 248306463 80644316 110481835 1000000000000000000 848515111 606147212 615602649 490624863 1000000000000000000 44352742 3900847 31024908 8586166 1000000000000000000 186200079 138288746 114859984 155993709 1000000000000000000 723880934 490584361 438619286 434505095 1000000000000000000 676454997 566464054 567916758 527158037 1000000000000000000 167001969 166514758 132508765 61007880 1000000000000000000 877699422 834389000 400952922 167852755 1000000000000000000 41295325 30491322 1697737 3076731 1000000000000000000 45847177 17864867 19599646 18040293 1000000000000000000 538560134 522682122 259506697 34650757 1000000000000000000 588576911 433388140 283488444 169628149 1000000000000000000 684252109 644214864 475552771 364987267 1000000000000000000 192651936 51281876 3503732 165753385 1000000000000000000 667119788 553073328 15117841 47802729 1000000000000000000 403670310 53654932 59141614 222436153 1000000000000000000 992692623 462335076 32289045 90687493 1000000000000000000 814928879 571976556 61924011 342520054 1000000000000000000 550932270 242456261 134819510 485157792 1000000000000000000 664623349 531346826 206855908 37309272 1000000000000000000 921018067 456427033 878263378 314790014 1000000000000000000 854634156 803476353 324239965 376092035 1000000000000000000 499114354 363537418 61008182 150891658 1000000000000000000 989961879 84141141 830029593 297925582 1000000000000000000 325403322 195196171 301788001 203006210 1000000000000000000 662193009 250993822 629907784 286190088 1000000000000000000 655660437 408667762 200774571 54289401 1000000000000000000 967762120 628494798 233544971 46631464 1000000000000000000 767059881 225884087 157535866 452908557 1000000000000000000 705129717 270235091 147537288 294180280 1000000000000000000 699999095 79105485 241352125 671454269 1000000000000000000 265543628 1726052 115292180 74080383 1000000000000000000 168351831 134029143 130469878 165349090 1000000000000000000 581325019 521952414 259905651 65732204 1000000000000000000 70985987 31990479 21055734 67820798 1000000000000000000 934737831 421666069 680960826 881761613 1000000000000000000 406825111 77203097 32287657 290104579 1000000000000000000 834347983 325046613 475517987 221548073 1000000000000000000 304372036 226675467 298591874 75011022 1000000000000000000 26412591 21297022 15959121 18316202 1000000000000000000 605794102 373073877 548566452 346048528 1000000000000000000 964266631 366613508 193550496 805447163 1000000000000000000 490435272 440042764 430092543 2917157 1000000000000000000 640263244 249056379 351098336 611936176 1000000000000000000 825779243 489645599 116122733 422604808 1000000000000000000 298287382 70862125 42230300 179921636 1000000000000000000 934067210 878701945 399621102 471192134 1000000000000000000 733577332 15080525 725827838 170802923 1000000000000000000 514727739 473075725 449640093 185684960 1000000000000000000 993169501 647756729 600260467 162771655 1000000000000000000 470383128 119677992 242072144 131268789 1000000000000000000 813026808 425806275 353356960 559436329 1000000000000000000 164137317 28428027 107883738 15484759 1000000000000000000 723548551 143353463 366191904 211804175 1000000000000000000 76856835 18086142 4138931 57575121 1000000000000000000 355433059 205795522 29268972 212280353 1000000000000000000 881960798 30076938 880666732 572301199 1000000000000000000 117020930 40838552 73645566 19133904 1000000000000000000 263728828 194860351 216595354 213959503 1000000000000000000 319684128 102518182 221039338 188618534 1000000000000000000 520955388 14571013 422221536 380895245 1000000000000000000 140805860 123699421 65802984 36188149 1000000000000000000 934858772 331699491 59726462 229093811 1000000000000000000 71629312 49220942 21704561 6035723 1000000000000000000 372569099 185182768 372194276 90246866 1000000000000000000 661155972 574225155 79955497 100758258 1000000000000000000 827656029 658322194 482554834 702469276 1000000000000000000 664092381 573679929 293006320 334511797 1000000000000000000 984335008 705757880 753149288 570772455 1000000000000000000 624129799 7598602 315756198 209638309 1000000000000000000 425156522 99120542 383783874 248866915 1000000000000000000 720562786 273723710 350628783 374061512 1000000000000000000 13391801 3367966 5041838 414716 1000000000000000000 910702873 303858509 302708581 139859257 1000000000000000000 824540174 819430842 431594553 441910219 1000000000000000000 588206242 231496535 125979931 232832074 1000000000000000000 561548523 159554177 550274275 104877675 1000000000000000000 652063007 97735982 142912440 446782828 1000000000000000000 349188490 138208507 321965893 68334562 1000000000000000000 91373278 69072539 71615629 72965647 1000000000000000000 887522557 381288539 670575826 457411438 1000000000000000000 698962693 400003536 433449113 551139965 1000000000000000000 462476998 384549027 128488095 166604205 1000000000000000000 743425769 7275767 303828033 168446013 1000000000000000000 220179289 176255963 29101456 70661979 1000000000000000000 195764656 17578837 80970920 81713431 1000000000000000000 790795625 582838616 464373685 484179011 1000000000000000000 212699776 73541047 135007975 132573746 1000000000000000000 494277938 285714985 391564193 279588860 1000000000000000000 295167772 90954536 9528442 30172310 1000000000000000000 875993451 305863086 245658907 348297321 1000000000000000000 796590705 555134854 259099405 40166618 1000000000000000000 614065283 114533019 324475533 78830117 1000000000000000000 622135094 568662850 454103029 489022316 1000000000000000000 519315256 62463701 269294737 460598982 1000000000000000000 963956204 689144585 399878631 4130335 1000000000000000000 333576840 324280607 286075957 103857969 1000000000000000000 843254027 140911991 834839037 552214899 1000000000000000000 940561704 917737978 129455446 314092402 1000000000000000000 569476480 352567117 423657325 371473671 1000000000000000000 992456104 103458764 56789314 366973975 1000000000000000000 526384192 477143158 506823027 141444396 1000000000000000000 882530349 868167370 175345092 722166671 1000000000000000000 708642813 698147528 672716936 428102772 1000000000000000000 790333411 494481287 230976416 766857810 1000000000000000000 154586452 106247732 28056586 77181583 1000000000000000000 468454511 446294585 162464493 386190369 1000000000000000000 635442782 382520531 604970476 17975515 1000000000000000000 606676786 394091311 63729148 327192485 1000000000000000000 715110186 207039393 394936348 50502360 1000000000000000000 630764490 427579176 468287600 422278518 1000000000000000000 856033920 736832109 272353433 367691731 1000000000000000000 98640000 38641109 69492984 92388789 1000000000000000000 933420324 2931467 528342846 90318572 1000000000000000000 143343666 12093524 25744391 9202216 1000000000000000000 589210767 558872593 572549363 331566789 1000000000000000000 762942753 270484789 193369718 437206426 1000000000000000000 529522291 383285837 1875655 427950660 1000000000000000000 804844780 119705093 591125375 160883520 1000000000000000000 249110001 40011269 156058199 112334013 1000000000000000000 449667888 300287653 183205732 291804338 1000000000000000000 962806989 806965713 433986905 777738948 1000000000000000000 166679386 21578331 98636456 96579827 1000000000000000000 909919066 413543281 338538502 114880130 1000000000000000000 614776547 271307807 545711423 29990936 1000000000000000000 315993803 59668065 190804962 143901796 1000000000000000000 975248577 810925901 406412426 569167075 1000000000000000000 368313382 222379475 352109058 306010907 1000000000000000000 183605437 164017561 16387561 151885654 1000000000000000000 336743447 185112598 70397393 130746703 1000000000000000000 530894687 25204005 340257936 97492380 1000000000000000000 688852387 347506342 3574770 365104951 1000000000000000000 462904095 160498697 327108591 435120237 1000000000000000000 31614252 8289262 10722380 15859554 1000000000000000000 888934454 415416266 600186354 819491648 1000000000000000000 915167294 537377137 128046654 473520722 1000000000000000000 144640133 50366815 43700844 51298435 1000000000000000000 215947604 78373275 33241706 215834583 1000000000000000000 611949397 290622240 384661134 239205876 1000000000000000000 310187305 53117234 264089193 255479202 1000000000000000000 368541229 94812829 11012210 104962699 1000000000000000000 385265975 285704399 368531561 242314036 1000000000000000000 582455100 61271051 100460249 541401375 1000000000000000000 544703429 539742217 121500269 118939246 1000000000000000000 211502650 72017931 95356851 160830155 1000000000000000000 537285378 349219028 77926479 502111033 1000000000000000000 930008797 93474119 584112493 299888672 1000000000000000000 29113529 7193033 11773855 10121309 1000000000000000000 673617774 247466666 32754184 494134125 1000000000000000000 169341453 101074618 74449573 100244587 1000000000000000000 250594091 249266269 44888442 180460137 1000000000000000000 63328087 2269092 23242789 49164041 1000000000000000000 331467096 180403246 46822295 318761087 1000000000000000000 434120036 356622033 13140434 257373891 1000000000000000000 342857970 315768763 187134735 276229785 1000000000000000000 756742055 335792846 531096023 334319315 1000000000000000000 837571883 768058582 869930 658506396 1000000000000000000 71343345 28761416 2722577 37663317 1000000000000000000 252771079 230937758 211092074 78706012 1000000000000000000 191511597 121213733 917622 138227297 1000000000000000000 22335216 8567615 8564777 5570976 1000000000000000000 68593131 18618224 29547365 27953338 1000000000000000000 314858819 58279917 136017049 174961365 1000000000000000000 755130888 499239482 692670809 530753752 1000000000000000000 170885208 44338121 121971708 18433451 1000000000000000000 602224803 347437185 53634197 267677674 1000000000000000000 697647001 369639061 19355863 455617923 1000000000000000000 948212048 437106856 947665864 888998201 1000000000000000000 61881342 35489976 7927910 27107671 1000000000000000000 939316745 760746634 413604126 921499296 1000000000000000000 754134387 548191132 530857375 599833074 1000000000000000000 424634201 316902186 13779078 115650013 1000000000000000000 794731066 656433378 261969317 583554467 1000000000000000000 840777394 450594117 64365257 181366957 1000000000000000000 304169303 188118161 62741247 74348555 1000000000000000000 890842224 75031890 764773844 582670579 1000000000000000000 840229262 805445179 385174565 737340510 1000000000000000000 347227658 49932430 43918176 169583292 1000000000000000000 118541788 17216849 21674837 62075832 1000000000000000000 734222622 202017142 304866308 443870021 1000000000000000000 455098472 425651583 150597444 40394739 1000000000000000000 609052728 357286443 484649469 327049282 1000000000000000000 897093552 312592781 81923699 883236238 1000000000000000000 22415815 6914296 6941013 20593062 1000000000000000000 771214992 409127627 202054254 452370255 1000000000000000000 677265079 508333201 645413138 399358478 1000000000000000000 982201712 484262759 160099515 477657771 1000000000000000000 789571944 74417493 520184726 320094355 1000000000000000000 530326293 358327354 429309837 226541923 1000000000000000000 440258204 45161929 141285005 359924636 1000000000000000000 38571465 34701111 32588056 31967856 1000000000000000000 549989475 343011161 187299666 538595696 1000000000000000000 964043428 928473149 235082753 828079054 1000000000000000000 70108522 21324723 14667534 23300891 1000000000000000000 622996245 190027582 325088294 266631663 1000000000000000000 855759023 238470592 77017178 845139089 1000000000000000000 272177793 92628830 9081827 89817664 1000000000000000000 669342405 284994150 141080966 549193372 1000000000000000000 499360022 462835377 165298623 495419921 1000000000000000000 80087964 51267503 9635023 51861806 1000000000000000000 389271821 116890669 177498993 188296398 1000000000000000000 751741526 688092866 409363630 454190183 1000000000000000000 541212382 391882073 116245119 160869636 1000000000000000000 33760204 9432244 26356529 25216410 1000000000000000000 230128570 60198300 19519369 17500693 1000000000000000000 69712301 33955002 64913976 69020736 1000000000000000000 469408360 178592 99346823 333130951 1000000000000000000 397211329 143020133 141641946 308363738 1000000000000000000 90813034 6447301 90534069 72798820 1000000000000000000 555582190 324463379 308118159 139036372 1000000000000000000 372269015 298813795 362032646 296137311 1000000000000000000 920967810 672242389 622071350 57040606 1000000000000000000 268933273 24974417 90240012 209003394 1000000000000000000 980029891 411089328 159856144 279079805 1000000000000000000 149151353 130872196 83618459 5880553 1000000000000000000 892964607 584182563 581651016 569488623 1000000000000000000 852770019 425288370 783964480 13606074 1000000000000000000 683244786 192418442 410611043 210236525 1000000000000000000 351525088 1951476 341663856 108175503 1000000000000000000 751589333 540551242 80209244 689768211 1000000000000000000 962651669 926486341 811975044 569190 1000000000000000000 127486979 67908094 36995350 20807322 1000000000000000000 742538050 598171028 254336075 188628979 1000000000000000000 728615910 388816190 453215611 591558755 1000000000000000000 639194265 161798550 305559787 168641570 1000000000000000000 734948665 704026236 616622045 360878080 1000000000000000000 105220107 2666473 10946768 104384122 1000000000000000000 888230455 713805435 591180250 307681258 1000000000000000000 744198584 268133814 490436317 734400752 1000000000000000000 562094862 437213224 454648040 375104205 1000000000000000000 898717931 167399665 273290206 244247907 1000000000000000000 869978482 397533810 423957835 397629095 1000000000000000000 396083496 383237404 345898739 98130754 1000000000000000000 31654620 5276558 15624817 6123144 1000000000000000000 748855520 740433717 379128017 23793300 1000000000000000000 379048014 7823204 287053300 208604571 1000000000000000000 458106680 449973201 300949623 316837966 1000000000000000000 262400665 218308751 146690743 71498356 1000000000000000000 969774773 589450562 680870592 435074119 1000000000000000000 880361997 298412575 339604340 743505179 1000000000000000000 66958973 63628769 61564639 36822974 1000000000000000000 899347816 347744221 732231473 679331545 1000000000000000000 77264884 13986447 20387456 34502526 1000000000000000000 231774587 212366906 85051157 162186953 1000000000000000000 857177048 118343096 676717770 483463419 1000000000000000000 757924608 689600867 452582296 439601861 1000000000000000000 832216438 767883354 621549973 192325553 1000000000000000000 352882270 165612666 319086370 98913159 1000000000000000000 708193604 632480641 440636809 649466000 1000000000000000000 147365534 82596397 626739 57363543 1000000000000000000 701751839 83211634 91947311 153047254 1000000000000000000 368299098 281612732 344914194 146983508 1000000000000000000 421649438 355930779 419933388 200210570 1000000000000000000 124876616 109871339 87696654 61490561 1000000000000000000 921200913 732646953 280422381 481868354 1000000000000000000 493281473 247145308 460055918 487201000 1000000000000000000 1192896 162528 86017 364341 1000000000000000000 658583131 460606705 549062135 487820929 1000000000000000000 850160010 547450450 343858709 747514958 1000000000000000000 362592159 68633237 97225749 15901099 1000000000000000000 391952081 176621628 140775853 24866155 1000000000000000000 103495209 78183128 23946979 50414339 1000000000000000000 281483304 217728852 198547405 111226973 1000000000000000000 371629654 71735184 83585658 339243304 1000000000000000000 351905293 333304024 259492274 61895169 1000000000000000000 744253296 599353561 170722229 175327868 1000000000000000000 631746832 422102783 7512308 297182422 1000000000000000000 124631878 43053410 70510843 82695707 1000000000000000000 290463607 120208515 196214115 275128708 1000000000000000000 690387094 511979134 544239067 344826077 1000000000000000000 504906886 208994341 337365048 13335616 1000000000000000000 631178792 601988479 604327330 199304625 1000000000000000000 833133652 148473333 737699947 736558907 1000000000000000000 213171544 143942680 117941438 123568118 1000000000000000000 498647525 181775005 379223961 216024819 1000000000000000000 830836147 487251311 656658330 178417737 1000000000000000000 620538974 290911704 454744166 475862223 1000000000000000000 489570623 377582142 253833702 149843920 1000000000000000000 34380791 14157595 17118526 31600487 1000000000000000000 926621889 890560370 846062660 357628127 1000000000000000000 585701274 116892712 389524032 567267859 1000000000000000000 557582002 287767907 507782248 229054683 1000000000000000000 986324423 670207374 309080616 139933718 1000000000000000000 245809039 122149021 54546201 230164085 1000000000000000000 127813319 1714060 22933890 86017789 1000000000000000000 854291359 576791364 368814034 793162876 1000000000000000000 108059434 79736621 39648804 67063926 1000000000000000000 73274299 67785474 54123481 15159863 1000000000000000000 879369827 680475059 519908483 18135231 1000000000000000000 996328406 341912338 143873938 195560276 1000000000000000000 265816560 201996813 256158459 102449619 1000000000000000000 456018777 450346780 213706923 20153388 1000000000000000000 611884970 108382121 88893530 453360364 1000000000000000000 448196622 174766132 372564024 276622300 1000000000000000000 285126011 102715931 261617684 266513372 1000000000000000000 726464748 269115077 17363166 355514925 1000000000000000000 792087566 359904790 190095613 488549415 1000000000000000000 764922242 627113833 592672723 658739314 1000000000000000000 127022942 16835073 72531090 99411150 1000000000000000000 411871942 265684774 216432260 89962654 1000000000000000000 448077365 315834139 60063757 199303289 1000000000000000000 634232362 434547775 398120826 311310320 1000000000000000000 191739611 2434863 159650959 183246874 1000000000000000000 861895221 36076737 385223296 157331192 1000000000000000000 728858645 119882314 10585720 402629996 1000000000000000000 405775055 43678808 269649072 258751266 1000000000000000000 153693960 81102201 133370851 119200547 1000000000000000000 271391172 169652097 269901268 78168877 1000000000000000000 641956021 140568692 38566202 279525816 1000000000000000000 120653933 5133975 68930739 104303838 1000000000000000000 776163898 556966781 451604763 695671690 1000000000000000000 344920242 247792320 147236633 97989401 1000000000000000000 961580740 495076339 582192847 636801214 1000000000000000000 69202336 35477048 58052190 41202654 1000000000000000000 810877022 747121342 681642505 654516516 1000000000000000000 27125596 21784468 26018078 21597873 1000000000000000000 757012818 132429606 311971885 125626464 1000000000000000000 692776257 364424802 356887815 674738936 1000000000000000000 614386962 321121886 596926679 586827034 1000000000000000000 690690952 598698721 48045109 423370491 1000000000000000000 679766238 332617884 75918334 317539964 1000000000000000000 183459360 33939803 45016207 121093851 1000000000000000000 567774611 442011971 180371989 307515429 1000000000000000000 101157218 43303046 57283827 50575571 1000000000000000000 194392810 20447973 95443055 35465786 1000000000000000000 401033212 119747470 292396700 145404848 1000000000000000000 707298615 667217484 466469256 697190029 1000000000000000000 999861176 660379392 792278761 504990286 1000000000000000000 679987190 347436535 205110130 353944513 1000000000000000000 141497978 70594598 106148305 13503358 1000000000000000000 139044619 52483734 81926436 120121751 1000000000000000000 629158063 416298490 40579452 314948276 1000000000000000000 639053632 575379029 361739421 178519965 1000000000000000000 594383469 296293460 135000764 345139803 1000000000000000000 599752663 383350604 313113286 329386303 1000000000000000000 512847789 234633379 390829689 489005648 1000000000000000000 939318991 136094172 190043560 459176458 1000000000000000000 622199793 95520242 376280059 219943849 1000000000000000000 180707880 153662784 89626690 78412298 1000000000000000000 610821928 388870288 388563318 306108041 1000000000000000000 385676278 103893637 63232493 84758639 1000000000000000000 728566350 332178235 99324636 365137812 1000000000000000000 907089394 425273133 460828376 109545501 1000000000000000000 401878829 271782232 302356654 30937833 1000000000000000000 174504126 25513606 52294300 167901388 1000000000000000000 704083472 323793752 309184216 345164144 1000000000000000000 290316578 61392294 19482395 190332314 1000000000000000000 554398928 404105168 537807157 452827547 1000000000000000000 684066179 378494398 460410409 132448935 1000000000000000000 406196049 157117628 39074323 61409417 1000000000000000000 704852659 345919371 637324421 526590619 1000000000000000000 519238814 49161507 213317721 247196781 1000000000000000000 660775152 340467862 238624494 295910909 1000000000000000000 373095497 105884347 91841706 139603347 1000000000000000000 512056833 290039655 372445959 342087341 1000000000000000000 819634204 368108623 665323833 444606823 1000000000000000000 323820032 274458999 267428711 238978136 1000000000000000000 725364080 144129702 678367933 487488458 1000000000000000000 970476131 636170175 737734677 106046398 1000000000000000000 270973078 19454969 65573189 137907121 1000000000000000000 678361362 564329808 309242213 676502882 1000000000000000000 992547508 609162008 40461248 298504405 1000000000000000000 664691622 548616600 384278089 599231461 1000000000000000000 780777593 558899849 362682018 771834339 1000000000000000000 244432314 118770875 233307123 122513796 1000000000000000000 429845243 336012369 317026100 325263332 1000000000000000000 577050737 326240321 459534787 43657318 1000000000000000000 469295444 384492987 411555081 102212554 1000000000000000000 744885523 89008749 365893855 549832229 1000000000000000000 671496477 627690666 501324207 338402899 1000000000000000000 698758059 272602612 289996861 355222506 1000000000000000000 428278385 308006212 178687263 266609144 1000000000000000000 390616915 136474225 7818931 318532663 1000000000000000000 379486546 253757320 183888621 15330386 1000000000000000000 582223571 307617071 390922228 294697508 1000000000000000000 857489898 489150255 399645186 600319761 1000000000000000000 394527092 93527169 27765505 338008155 1000000000000000000 36337715 26331239 36272658 1659228 1000000000000000000 560609547 420450950 144174298 321261534 1000000000000000000 255414824 203132543 76608164 9528584 1000000000000000000 715593935 82492983 708543919 53529138 1000000000000000000 834941734 36533181 309104929 344475842 1000000000000000000 916062287 399508656 557883371 57650471 1000000000000000000 20400992 6957545 15820268 10396543 1000000000000000000 620550021 57531769 148930507 597101547 1000000000000000000 250382384 168810794 2769888 223102830 1000000000000000000 818565851 101568361 612559101 645119154 1000000000000000000 823777624 707940168 26536361 814310654 1000000000000000000 209592147 113528698 199414919 169102399 1000000000000000000 424663861 14500516 407162751 177705983 1000000000000000000 532021425 37795255 509125858 14059165 1000000000000000000 302515790 99147101 224262295 54670722 1000000000000000000 684727840 248376623 333481808 312270407 1000000000000000000 646039923 539710472 548959096 380630920 1000000000000000000 945411047 403592775 769027735 250062020 1000000000000000000 467589252 92866875 218696275 415687882 1000000000000000000 794726061 15439433 671266920 552301823 1000000000000000000 63213031 55427561 28639334 24518485 1000000000000000000 701626513 534725718 335797849 181660074 1000000000000000000 615993935 205036802 142614418 526781268 1000000000000000000 386690643 295742618 249477237 282492141 1000000000000000000 165396694 15719910 35335875 111245749 1000000000000000000 526087798 409356501 102138769 55420528 1000000000000000000 830627589 512945715 697138095 175257008 1000000000000000000 203891064 19441827 117481845 22903745 1000000000000000000 210775262 83347166 70101710 156446638 1000000000000000000 394897595 338664235 113625526 147339683 1000000000000000000 955372570 78632176 392332862 373497338 1000000000000000000 33154238 33058857 16236836 29042625 1000000000000000000 446102421 55103501 155535023 310819905 1000000000000000000 308192757 221800464 97296912 98301874 1000000000000000000 733529298 42905409 4974775 721647634 1000000000000000000 25247814 6227608 4503362 2801605 1000000000000000000 245174255 192788989 59838432 207768414 1000000000000000000 870739633 425842655 824333268 458859460 1000000000000000000 607271413 222100350 20850623 452654671 1000000000000000000 565087176 476360942 201551530 320526437 1000000000000000000 983866661 848590413 484149084 646264509 1000000000000000000 213983879 195391357 122772912 114451283 1000000000000000000 684698979 208646245 347600590 450905721 1000000000000000000 509657898 166271546 401248030 327133264 1000000000000000000 949145432 737749250 843791219 366685305 1000000000000000000 870808460 733387002 757408741 236472078 1000000000000000000 286996161 261639768 215349370 132621812 1000000000000000000 194283362 13690557 170091783 38571667 1000000000000000000 561198532 222167601 332402256 147308725 1000000000000000000 922727691 879803950 775392061 866355145 1000000000000000000 261840294 250839577 206480 23276950 1000000000000000000 723577955 87972935 148241041 399338373 1000000000000000000 816837614 792605255 249903747 504072601 1000000000000000000 203212805 200183589 79286796 49737872 1000000000000000000 114538999 25597708 44945276 39215336 1000000000000000000 422119358 228198168 115144544 359364227 1000000000000000000 555263142 184366736 158079906 43407640 1000000000000000000 438131985 336753090 106612171 164078069 1000000000000000000 778421835 393357797 191989122 659308206 1000000000000000000 879217815 369116980 171383507 602533072 1000000000000000000 975464946 304124076 316251575 267682707 1000000000000000000 929691862 626224254 892538808 532836655 1000000000000000000 508348061 464546897 101549700 281951303 1000000000000000000 69307272 11613386 61117583 26742284 1000000000000000000 4441907 4177844 2084333 3780984 1000000000000000000 359908012 166316533 78841502 205131441 1000000000000000000 513898905 11274641 143422280 338402934 1000000000000000000 730268577 480312823 150551363 183978294 1000000000000000000 194400257 4971047 160808376 25711049 1000000000000000000 565266433 197753785 244458036 253891922 1000000000000000000 824424023 427909073 404554505 208862464 1000000000000000000 311537186 29629118 233756998 174954324 1000000000000000000 159022932 131581845 19213266 143813896 1000000000000000000 176301003 34582561 61354670 28707282 1000000000000000000 935604743 672508747 314062447 294433106 1000000000000000000 262538149 170838557 109335004 130185893 1000000000000000000 832841501 117719464 693449612 467581777 1000000000000000000 524172546 389695860 333531374 440670379 1000000000000000000 413073651 31233589 192749163 116456181 1000000000000000000 388248235 115010541 307679265 33696475 1000000000000000000 346124988 236959788 49760788 212290113 1000000000000000000 897831787 306154835 32461308 38574252 1000000000000000000 471020934 459907260 25364305 375414949 1000000000000000000 848547382 29879869 555155418 495849091 1000000000000000000 330429991 320829002 75444300 235344950 1000000000000000000 607791520 593114565 600658133 356291226 1000000000000000000 462188086 226792986 356953281 91029168 1000000000000000000 328120631 308411917 135820617 167770630 1000000000000000000 214484853 137194457 146296971 159084948 1000000000000000000 149892975 144850383 88401091 92150009 1000000000000000000 916226204 729401111 815124338 685710759 1000000000000000000 263394792 152091660 138124442 230057442 1000000000000000000 341474412 235871854 134866011 58638807 1000000000000000000 758188636 398660107 491792964 278278686 1000000000000000000 494323662 181282156 95233751 86622280 1000000000000000000 41897636 7407115 23142266 12292609 1000000000000000000 432149834 299380746 60267781 136397137 1000000000000000000 305639570 256456135 38847778 155630007 1000000000000000000 279626307 74697439 123039418 229610851 1000000000000000000 56911126 14965271 25619149 38769071 1000000000000000000 822192036 606556684 357952416 778664530 1000000000000000000 220814040 216671045 640891 56077514 1000000000000000000 734404692 685403860 83527024 348512203 1000000000000000000 963041355 483518250 794301891 162551085 1000000000000000000 489235833 200353177 9943858 287104045 1000000000000000000 424730460 224356928 110916595 81434508 1000000000000000000 197091201 31108609 36933631 152709083 1000000000000000000 798981285 213152206 376714100 212828090 1000000000000000000 802753321 251696161 644081727 447574579 1000000000000000000 359304142 298855602 69911956 254114659 1000000000000000000 709264627 548563667 100002773 628403887 1000000000000000000 106045484 35511459 70446999 101824258 1000000000000000000 445207868 116225006 180995791 296256361 1000000000000000000 383778017 298523509 46946454 44968379 1000000000000000000 331110298 210961350 233534494 164344657 1000000000000000000 347536547 166047155 245836606 268474220 1000000000000000000 426637140 393612371 194585477 121739970 1000000000000000000 425002243 281276281 333736693 31056256 1000000000000000000 728005933 525334280 16827217 196422869 1000000000000000000 759224440 258433796 316995706 16246424 1000000000000000000 904818960 201943353 573562855 133895643 1000000000000000000 862975569 279630266 482850235 245751022 1000000000000000000 488521331 88062855 162444308 166527669 1000000000000000000 22416989 16439254 19939801 595725 1000000000000000000 555443931 126714132 197576016 391970785 1000000000000000000 853284808 785693041 524901658 545958560 1000000000000000000 97490354 1704956 73521326 68671083 1000000000000000000 748909823 98223017 733424656 498546437 1000000000000000000 785455784 448023143 122034981 555002759 1000000000000000000 129446354 73355855 5606579 114562817 1000000000000000000 907008513 638647753 18552962 143213128 1000000000000000000 548134551 346207566 46470746 196555969 1000000000000000000 698139187 377828611 605589050 445953982 1000000000000000000 90097467 4026788 88292952 14165416 1000000000000000000 531239312 40507498 294433178 274421975 1000000000000000000 711238406 688620601 103257862 31835075 1000000000000000000 124144094 30418936 55852877 77958267 1000000000000000000 214675929 36483696 23341431 125247987 1000000000000000000 973701750 740823223 696799727 559422639 1000000000000000000 769784078 479495631 761619176 247980152 1000000000000000000 452882532 379799802 201539711 110878750 1000000000000000000 596822352 335590857 431851292 77683632 1000000000000000000 338909667 119010235 258151367 219834596 1000000000000000000 283187100 165530922 22144201 178044681 1000000000000000000 397139730 82971159 317081371 230491444 1000000000000000000 765073244 613446280 169465691 454776800 1000000000000000000 934377949 583774301 342307249 709298570 1000000000000000000 90708010 9996030 62090191 83523817 1000000000000000000 52220307 44989290 43666005 22112699 1000000000000000000 779274447 228504806 66108292 732144995 1000000000000000000 746110517 86907659 332170231 46935191 1000000000000000000 350048460 300529780 21828420 293938676 1000000000000000000 153753223 98173153 24880637 104554987 1000000000000000000 87419834 32550773 33668502 5078743 1000000000000000000 263257567 151710495 118765739 118852548 1000000000000000000 500259836 291440585 45090223 308314466 1000000000000000000 599030939 555434249 80411582 569374998 1000000000000000000 842961591 111150309 668775712 262565990 1000000000000000000 348584396 251116381 181086938 240704720 1000000000000000000 266727516 71554101 118329421 178066570 1000000000000000000 438401141 323578147 248760789 136469895 1000000000000000000 702022572 445418973 461873435 278126817 1000000000000000000 996649753 731826120 960867562 873584708 1000000000000000000 547568028 111426160 47495732 358222275 1000000000000000000 678929651 517188139 222920605 382884877 1000000000000000000 582670233 476029665 106853619 402622940 1000000000000000000 479910053 209615337 292320594 103894968 1000000000000000000 461447314 377580849 354267950 253994377 1000000000000000000 460641942 232443340 155617870 307091574 1000000000000000000 613372708 36232874 214187777 98304434 1000000000000000000 538828810 251746703 187133233 273077930 1000000000000000000 491085974 249519664 116096353 110180620 1000000000000000000 667673302 407168364 38738946 166714136 1000000000000000000 455283888 268602321 319950752 1927783 1000000000000000000 383354105 165662629 189224144 127855381 1000000000000000000 554585402 553927807 376663272 264534637 1000000000000000000 926441717 172121349 384759350 817187512 1000000000000000000 868284980 865576655 733044061 295248718 1000000000000000000 84762919 245907 38841230 46458605 1000000000000000000 976649601 685912204 218533589 268000023 1000000000000000000 530122671 32806307 350634018 187633381 1000000000000000000 128236946 75675041 97309718 115501243 1000000000000000000 313166376 196407173 279508222 230612354 1000000000000000000 69087086 16247188 32090522 49806701 1000000000000000000 640997926 369266374 309449447 165896727 1000000000000000000 819868275 733240859 391898338 283085980 1000000000000000000 46187075 19127014 42267352 23581931 1000000000000000000 228963927 9626861 148636388 151778053 1000000000000000000 483877340 285997432 171979832 29407202 1000000000000000000 190153720 12720896 6605241 77561974 1000000000000000000 972838988 160601094 192853267 931529447 1000000000000000000 8955303 8593357 5534150 8938783 1000000000000000000 4691235 3103431 2624524 3433946 1000000000000000000 615907277 233104638 280285338 461044205 1000000000000000000 426445831 170921937 346882573 304727469 1000000000000000000 217134933 63103625 113268361 100276380 1000000000000000000 129416526 50301499 10392048 51012548 1000000000000000000 194203882 81412037 10011778 26029417 1000000000000000000 857533641 210843715 726201117 152362796 1000000000000000000 719271219 209283753 529730685 96379816 1000000000000000000 253729842 50673803 58532921 157280999 1000000000000000000 905705745 712885001 140150119 581757892 1000000000000000000 229681111 105823734 46516099 11371885 1000000000000000000 69663939 37403798 7342623 35260137 1000000000000000000 239767796 65320794 79696641 185238466 1000000000000000000 133558948 76022661 124696332 24772139 1000000000000000000 804997792 682342066 481549284 437326238 1000000000000000000 393224625 354156153 197446684 190175658 1000000000000000000 556971654 478428620 44120760 514558144 1000000000000000000 395680283 311607392 286206058 137319889 1000000000000000000 165151487 40627025 58756342 53215503 1000000000000000000 535685775 270014279 484392957 459829318 1000000000000000000 53631988 50670002 17652580 11486630 1000000000000000000 171193284 85165080 67744045 108029619 1000000000000000000 170760486 70102909 66508505 165087426 1000000000000000000 196839952 63805620 25435336 72327171 1000000000000000000 319533363 17477432 68624107 154612457 1000000000000000000 840235167 646959525 496688253 774009353 1000000000000000000 262303702 84836698 136338292 38625111 1000000000000000000 537895749 15567623 300492168 70322916 1000000000000000000 685248396 649406254 290294324 205480250 1000000000000000000 989306755 539713092 193534942 820870249 1000000000000000000 505082368 274222636 129669519 412150018 1000000000000000000 142433460 68910283 9917943 55195487 1000000000000000000 138500017 52295534 129808573 1960410 1000000000000000000 940209407 249215507 634858027 45364676 1000000000000000000 816223885 150490567 141303152 693914843 1000000000000000000 916117368 661125599 316806016 745875222 1000000000000000000 74666405 34510225 59382335 41316773 1000000000000000000 536010849 473086104 263199930 534586758 1000000000000000000 283576895 198865544 108942 863938 1000000000000000000 137632408 97726365 124079567 132419970 1000000000000000000 72024865 37050950 28790746 71737535 1000000000000000000 465734793 139058993 134926077 424996639 1000000000000000000 742251004 390687321 103924629 1363639 1000000000000000000 23867926 13836263 5283160 11906656 1000000000000000000 35431260 19739246 6662471 17913467 1000000000000000000 533488038 350635932 149595698 140716980 1000000000000000000 443047735 382060746 48866937 360123527 1000000000000000000 819440979 58952977 531230165 729401632 1000000000000000000 353906988 188076084 76862366 340602514 1000000000000000000 745356548 270093295 664481058 468406322 1000000000000000000 686114179 125474841 381105284 159374002 1000000000000000000 447613727 16409115 75563081 150004067 1000000000000000000 211544075 204828884 166934220 7727509 1000000000000000000 669252539 641605393 468997977 613538261 1000000000000000000 903680918 490037104 716332825 179505518 1000000000000000000 605700472 438226972 574751362 477124150 1000000000000000000 691251000 253462655 386414610 90321231 1000000000000000000 18348579 2231520 17859685 14714047 1000000000000000000 250810281 211185401 151545611 28452518 1000000000000000000 710043394 392423166 276082953 418005012 1000000000000000000 372228924 187246428 7183379 318707598 1000000000000000000 54721684 43639336 21049957 43094873 1000000000000000000 193965842 176138225 131440962 9186493 1000000000000000000 540090960 352073924 346110646 29434683 1000000000000000000 438698084 131000141 145640316 56762404 1000000000000000000 507080354 472257713 267291442 125131964 1000000000000000000 883233431 50780482 397405385 45772535 1000000000000000000 75861330 41119610 60191391 46460051 1000000000000000000 301680733 162999156 39852964 240743859 1000000000000000000 407242943 236282539 179828048 276763277 1000000000000000000 352690939 102165472 235006231 246227825 1000000000000000000 319278989 176398786 109049690 305089168 1000000000000000000 275889209 122102855 213997715 2746558 1000000000000000000 336432261 232459983 189038682 36786681 1000000000000000000 832099794 455398890 813330808 707514887 1000000000000000000 326520497 51027423 197771421 94859928 1000000000000000000 239192334 42157826 188083748 174571477 1000000000000000000 832192455 478467110 98890569 270305429 1000000000000000000 271535143 101009888 87489095 257769257 1000000000000000000 470575785 282294946 385439717 391331936 1000000000000000000 416205409 367558453 278498570 135742336 1000000000000000000 444880407 296634190 24253662 82926970 1000000000000000000 303529878 104213207 145648155 25814234 1000000000000000000 553378141 74381717 249734927 284742967 1000000000000000000 287377487 67616031 123647085 104043463 1000000000000000000 269707485 30152335 4155899 131083336 1000000000000000000 571049053 312343159 323867657 313274411 1000000000000000000 185100002 98987524 154859718 145105018 1000000000000000000 687608022 143861627 331629565 403973259 1000000000000000000 482144844 481156000 257707004 394862234 1000000000000000000 76120041 70108355 18799854 49430161 1000000000000000000 982016555 280614932 970572619 591930521 1000000000000000000 80053119 43587094 28970606 45910270 1000000000000000000 302799454 190637437 13611737 222995774 1000000000000000000 295229069 166093829 251940110 41177683 1000000000000000000 712994366 244399853 12978569 4183016 1000000000000000000 683296244 88163794 27187521 226673262 1000000000000000000 367224340 346660302 194206129 273514352 1000000000000000000 327048256 82467585 121354991 42506517 1000000000000000000 522564858 420516945 122014345 116979880 1000000000000000000 220724206 206180412 93854931 103067842 1000000000000000000 228530235 87852057 118746040 171509673 1000000000000000000 279220172 112068613 211371917 268756447 1000000000000000000 641163065 346824712 417567648 21460368 1000000000000000000 76251929 33120739 61368937 58496448 1000000000000000000 313780451 123926173 78799504 92378507 1000000000000000000 401000320 250604166 134108664 192646456 1000000000000000000 71297269 19092701 65231685 49792256 1000000000000000000 837808938 888972 314393573 639897359 1000000000000000000 282878956 212123004 40253323 122883349 1000000000000000000 657332488 258595428 145383104 655089409 1000000000000000000 416224242 181800249 24028064 124414830 1000000000000000000 384144232 250270393 23543030 245399987 1000000000000000000 836994297 260372547 329331146 623237126 1000000000000000000 998455027 278535564 455792161 723197594 1000000000000000000 741675096 509697969 426010677 612687505 1000000000000000000 333274001 5274747 153124729 262383344 1000000000000000000 386689125 174079336 64003706 325686644 1000000000000000000 328957052 291395050 32173004 134064114 1000000000000000000 863379313 81881047 227172265 13902104 1000000000000000000 314136285 271503779 262998217 291835961 1000000000000000000 408276486 14003915 373400593 350230707 1000000000000000000 693281699 105923203 43346148 3474524 1000000000000000000 954111931 703832075 628177805 93587691 1000000000000000000 254594175 225855331 36636147 31330033 1000000000000000000 309272701 228888647 285681138 208136220 1000000000000000000 971680729 6639169 311076335 802821190 1000000000000000000 546381395 24757196 190546926 45204788 1000000000000000000 558051708 487270182 264078675 286764536 1000000000000000000 297437795 124018292 105472314 161370142 1000000000000000000 294206184 185728097 208783222 246197707 1000000000000000000 113292276 38380625 109960760 54414727 1000000000000000000 40946615 20555178 35417763 6163783 1000000000000000000 102504798 6848449 26246731 96703262 1000000000000000000 680382821 376821144 351578052 529059988 1000000000000000000 531783913 304260260 277761301 64067625 1000000000000000000 673280520 367000597 131536888 36708706 1000000000000000000 378708439 66788038 320455168 328327283 1000000000000000000 410294373 48914345 366981736 206297649 1000000000000000000 470181554 302249888 68319142 92767411 1000000000000000000 370745943 180852784 353172169 236612594 1000000000000000000 745952631 221230774 676582220 421000741 1000000000000000000 488628360 38404647 230925926 312495458 1000000000000000000 757299416 252000695 326726879 354504996 1000000000000000000 402370151 90323569 205788416 269157949 1000000000000000000 20794734 7122557 17042643 20357249 1000000000000000000 482941668 446375849 301247917 298173441 1000000000000000000 201019749 79291442 84269203 69433430 1000000000000000000 464965914 348267094 463626373 321347909 1000000000000000000 187789944 36756346 183559340 147283685 1000000000000000000 102797682 30816628 43128845 7748516 1000000000000000000 138901480 63280331 2963937 103564905 1000000000000000000 812687405 248894120 368687483 62638460 1000000000000000000 364226508 361365482 12774806 90740064 1000000000000000000 331291365 210640045 220840324 73090611 1000000000000000000 908854013 584712488 70803899 198540402 1000000000000000000 883496503 295391445 749512287 61145971 1000000000000000000 636875925 561473787 465199434 296348563 1000000000000000000 297445892 19048245 189908749 138755150 1000000000000000000 733299807 2374025 701095781 508826381 1000000000000000000 121107850 112188981 104727083 107231106 1000000000000000000 878757217 536928406 472268552 507676416 1000000000000000000 130388761 8158381 3868697 74056879 1000000000000000000 570549092 298773448 166811006 429123430 1000000000000000000 751056709 552686580 288666010 284615653 1000000000000000000 24670776 1102410 5215114 12922004 1000000000000000000 830040629 277728634 11397385 823823149 1000000000000000000 230795041 690332 13283867 193822801 1000000000000000000 726970063 530078966 234460287 697847295 1000000000000000000 946614395 218196103 286021225 233255282 1000000000000000000 806992209 776880332 613125353 407573748 1000000000000000000 289648611 232206880 261977667 194592439 1000000000000000000 60352038 3466104 20980292 11533850 1000000000000000000 669690780 511314311 440046511 70908015 1000000000000000000 378370152 46730319 75891217 305919695 1000000000000000000 805901447 119260377 151771742 11021209 1000000000000000000 174473601 164957333 153082474 121958726 1000000000000000000 25652138 23469906 8036001 6278315 1000000000000000000 776595283 524916989 472272708 211927731 1000000000000000000 52580554 43357211 41585126 49376139 1000000000000000000 119793106 47957743 75728777 75754894 1000000000000000000 251949619 85332721 40773448 48906015 1000000000000000000 172951554 86037845 114908449 6550384 1000000000000000000 470791140 288101167 436470595 5112233 1000000000000000000 872302830 388299771 717750529 282650524 1000000000000000000 935193233 251037551 9473830 522596600 1000000000000000000 506469284 279567116 438006556 387099903 1000000000000000000 275634850 179267676 46691281 159177346 1000000000000000000 177634931 44065047 174931899 56979114 1000000000000000000 954690956 522139786 248770417 837440550 1000000000000000000 234392513 155947933 194476471 206093543 1000000000000000000 309967653 190725405 111415758 231020733 1000000000000000000 182058738 70335863 68472495 60533551 1000000000000000000 344410824 242777398 283097454 337176636 1000000000000000000 140028314 46848595 33873708 13211992 1000000000000000000 103217468 11276120 61281944 51294745 1000000000000000000 162221828 53612191 143442386 76201817 1000000000000000000 184321061 12385976 136443418 144691350 1000000000000000000 174732967 49624750 90589951 76052804 1000000000000000000 752053949 586299499 102049331 18346049 1000000000000000000 687358752 489931252 600861209 502132652 1000000000000000000 264054241 63926318 18082385 44965440 1000000000000000000 270002854 256899013 229822634 50447167 1000000000000000000 178335822 126234641 157164691 67562157 1000000000000000000 349765316 194339658 128704061 230135268 1000000000000000000 754077998 738407333 674711447 424925619 1000000000000000000 918033756 877428226 119589327 705826828 1000000000000000000 7169690 2092381 3593195 673502 1000000000000000000 558872734 556566905 118029443 367101073 1000000000000000000 895308062 719225878 886501061 375758427 1000000000000000000 356921133 355877924 210606315 86696251 1000000000000000000 578673449 313575202 229165280 567716366 1000000000000000000 130603520 105136796 19018905 57832698 1000000000000000000 298061214 81068910 102623552 187511993 1000000000000000000 897443933 292856931 227003569 379027011 1000000000000000000 671375781 287413732 62699156 483788417 1000000000000000000 418343767 199553240 139244986 154924410 1000000000000000000 856812524 169205800 592264213 124282598 1000000000000000000 883788250 103164069 287321506 160080838 1000000000000000000 654287538 156576014 446904778 167449708 1000000000000000000 401442245 212303703 192825692 166420896 1000000000000000000 98670692 61515520 42611494 9501872 1000000000000000000 180868433 30921835 5978639 15548835 1000000000000000000 801872235 103639850 397244874 19134641 1000000000000000000 706065158 242599328 500425360 539103123 1000000000000000000 257030394 220068450 143406756 203491343 1000000000000000000 508160098 17229954 374730559 82305235 1000000000000000000 269586638 266293907 127265057 23029178 1000000000000000000 685299069 35308929 97980012 673644374 1000000000000000000 663620616 574587571 318883028 494212149 1000000000000000000 661347016 480799463 567610291 236188910 1000000000000000000 672752060 601385733 228255987 24044284 1000000000000000000 151720948 136586750 86237156 134542515 1000000000000000000 799480907 547623456 297868036 403183709 1000000000000000000 440330304 371492946 198064832 185080186 1000000000000000000 690616186 199605341 486991434 376344579 1000000000000000000 443155546 79013578 436761578 18912100 1000000000000000000 52527526 2541156 26962487 18747800 1000000000000000000 929691246 910376927 117549196 751059339 1000000000000000000 95578423 50231606 2540494 85933610 1000000000000000000 677962143 537291393 298636078 261319258 1000000000000000000 586153853 76355350 178583351 87639498 1000000000000000000 594665158 374490614 83980858 87843241 1000000000000000000 736250620 626913682 107608536 419099197 1000000000000000000 103115691 69113708 26471451 36385689 1000000000000000000 93446573 69956778 40493429 68271147 1000000000000000000 639746266 76336823 313453594 583030392 1000000000000000000 218777160 63153719 75832507 70603224 1000000000000000000 704015788 696131276 450097423 286229687 1000000000000000000 255550723 189924653 208798558 152214821 1000000000000000000 324020592 80320749 17532752 49730500 1000000000000000000 459595186 31047127 293534241 445624677 1000000000000000000 1384045 498081 1296042 921037 1000000000000000000 932967502 709038944 297520222 882770545 1000000000000000000 507061618 393194776 127682749 73367424 1000000000000000000 487736541 196758249 42101802 226360260 1000000000000000000 77821047 4978451 49707004 57164555 1000000000000000000 987735138 235187180 754971736 247859557 1000000000000000000 185324199 21758796 56134248 56027383 1000000000000000000 547961384 258541498 311922479 29707251 1000000000000000000 4867124 3338233 2184446 42870 1000000000000000000 756147269 481417739 474013041 683366302 1000000000000000000 795939492 518681765 616079453 746184562 1000000000000000000 537530735 353872093 154175124 284578612 1000000000000000000 470423880 70840115 413040395 402677631 1000000000000000000 750783730 514408745 210601524 315080629 1000000000000000000 83318612 809546 72879548 45205784 1000000000000000000 599189741 374826569 64577690 578748667 1000000000000000000 392366745 267274677 58010946 54171179 1000000000000000000 616390208 124731338 568318439 441938253 1000000000000000000 135795337 14570999 62242738 62031508 1000000000000000000 799969547 211221470 723209647 597308554 1000000000000000000 748440403 407809638 14107450 634640575 1000000000000000000 574789355 43335293 373735702 244631922 1000000000000000000 867210064 28005824 519262777 30036431 1000000000000000000 40100381 31318975 7925480 25023022 1000000000000000000 370473763 294409384 198315425 346295853 1000000000000000000 226840132 219401993 165430568 172491018 1000000000000000000 214089812 177727807 75186053 210342396 1000000000000000000 161139328 53582963 68791753 61935856 1000000000000000000 277665953 139389232 233916494 243995842 1000000000000000000 685654889 387666078 664539494 243704254 1000000000000000000 951689279 736848681 545341106 561090738 1000000000000000000 964190536 398283273 371079761 208658755 1000000000000000000 67418485 45611593 47105453 66218653 1000000000000000000 506228945 179742514 472042661 43079221 1000000000000000000 254083478 98048676 52881185 250336105 1000000000000000000 495291215 366353711 190328526 94162897 1000000000000000000 566193248 32966241 348605668 493636627 1000000000000000000 772408068 714188231 768693907 352403999 1000000000000000000 141335218 111252472 109484553 2133278 1000000000000000000 963546878 342204792 946439011 937244512 1000000000000000000 327046592 310276684 72242786 275620347 1000000000000000000 179463794 170734985 79003598 87482396 1000000000000000000 921079828 362848599 74531586 180901738 1000000000000000000 997152873 341702560 899552586 757385186 1000000000000000000 785579907 367033427 605216502 251731110 1000000000000000000 561322550 559095836 207290241 335349062 1000000000000000000 889456553 42630251 447835160 803040123 1000000000000000000 521968400 373500158 392008673 45672937 1000000000000000000 600209204 552245670 279826197 283388389 1000000000000000000 989117128 466873641 685627523 5205717 1000000000000000000 959984056 923744764 386418939 403530730 1000000000000000000 825928475 112312577 66891852 498525438 1000000000000000000 16538965 4021202 3176346 9359542 1000000000000000000 877349051 301816732 649819486 319192563 1000000000000000000 974590103 323611929 953238058 950649349 1000000000000000000 951041095 195742539 838138365 860630424 1000000000000000000 255511917 50882752 144154465 87270038 1000000000000000000 257257254 5421584 132334397 45473064 1000000000000000000 789693668 231380248 268232225 2548418 1000000000000000000 212400605 22690785 183660098 137533624 1000000000000000000 431500462 348504011 133994930 233497345 1000000000000000000 146776927 18184595 16773927 1804175 1000000000000000000 575330074 441754601 23056186 65421381 1000000000000000000 411952049 359673382 345009811 287925755 1000000000000000000 617766843 579810863 469631205 505663253 1000000000000000000 914628176 276438293 863447848 217376896 1000000000000000000 526410150 131183867 411329592 224223858 1000000000000000000 91994494 40019595 3851245 17586134 1000000000000000000 951106363 546442033 405880205 495944683 1000000000000000000 434352816 26194543 368184439 398370555 1000000000000000000 834169404 142563552 250525620 197317179 1000000000000000000 932152979 434712102 312327243 400189757 1000000000000000000 53531811 4330755 36361499 44863838 1000000000000000000 686923990 545491429 527057465 328181502 1000000000000000000 432669626 121353391 186864184 253776066 1000000000000000000 597632840 553722318 28681044 266526340 1000000000000000000 933572532 286814958 233777172 865012193 1000000000000000000 108926310 8574883 19490140 66969073 1000000000000000000 493703760 45434412 189021128 127684333 1000000000000000000 314517241 64202724 203960968 22434801 1000000000000000000 22200168 12890566 16117854 10107503 1000000000000000000 393556182 162568401 315853694 21764212 1000000000000000000 38867500 33375667 22273453 18207595 1000000000000000000 107851805 41640920 6104428 57324874 1000000000000000000 195908413 53349107 118959317 108504698 1000000000000000000 873880217 452590786 327527321 164689826 1000000000000000000 825197640 485316495 313176975 580575586 1000000000000000000 138185601 101855045 72852206 50293074 1000000000000000000 693391847 183336741 396351861 281924125 1000000000000000000 721421602 283196842 693023238 542092441 1000000000000000000 931962384 401826100 660135616 759846728 1000000000000000000 222882712 85141767 55333481 6300155 1000000000000000000 217506763 111489247 133834048 71196051 1000000000000000000 812579765 323550304 408734182 324969044 1000000000000000000 958885329 626120406 430206624 182123649 1000000000000000000 844084078 134512268 603641182 97890837 1000000000000000000 585536761 178455541 404810361 80980149 1000000000000000000 774998449 133244135 701731239 373150125 1000000000000000000 302883916 277277524 62883436 130794215 1000000000000000000 671655454 472414090 521816128 489056491 1000000000000000000 330296796 268107734 102994819 181740400 1000000000000000000 503639092 294565967 493334944 492556763 1000000000000000000 96568566 62034944 82870099 62158081 1000000000000000000 19801287 4153073 6776054 19304091 1000000000000000000 992460928 953410486 915606647 344987640 1000000000000000000 275997405 10253946 230502105 179268623 1000000000000000000 27762963 15444659 10819904 27539717 1000000000000000000 188599853 11092067 77050468 41613607 1000000000000000000 896319411 548338885 324654407 400552369 1000000000000000000 221927158 135264230 157419336 173734342 1000000000000000000 636033789 606995406 183369143 429320226 1000000000000000000 423843530 184403009 277351936 188580859 1000000000000000000 236216955 119347283 33859696 235501497 1000000000000000000 56442247 1618952 9376011 19539443 1000000000000000000 950634010 353683538 400234402 827250104 1000000000000000000 773699084 361503852 767637115 599302530 1000000000000000000 812912765 656762807 210097740 297776260 1000000000000000000 175620714 50637220 105395975 117922452 1000000000000000000 865174682 414302623 602918628 799921635 1000000000000000000 644366297 145897835 313132946 344884426 1000000000000000000 839161477 441412515 351589150 511906992 1000000000000000000 343157213 181462474 155870981 120856808 1000000000000000000 8303998 773732 1885492 7193106 1000000000000000000 732275132 99479931 313391931 592593074 1000000000000000000 394581200 290690038 82445430 142475007 1000000000000000000 501326508 185022168 248526966 367257764 1000000000000000000 75473685 37515235 2995980 58060897 1000000000000000000 960445282 773538162 93071081 678171707 1000000000000000000 773277277 473149459 606005685 404349257 1000000000000000000 23092427 19645319 4103093 292750 1000000000000000000 625711782 564303675 574127243 307019708 1000000000000000000 39204571 13202988 17211174 2885723 1000000000000000000 82362506 29133490 9847861 57670560 1000000000000000000 181854461 132873545 177665553 4604079 1000000000000000000 659501552 477436775 354458902 207631862 1000000000000000000 169741332 161526824 16070329 3827475 1000000000000000000 534037736 346625673 129909103 262929429 1000000000000000000 864846511 354987369 631451859 746411729 1000000000000000000 124828536 87133382 67739771 76119986 1000000000000000000 491361099 294929691 211736921 236881817 1000000000000000000 898746336 724740290 773081038 836093956 1000000000000000000 946306895 324211452 273487179 726183196 1000000000000000000 940367311 657165732 871223119 127231501 1000000000000000000 907722850 117220729 666987619 859743069 1000000000000000000 535088927 178763071 454176563 457819096 1000000000000000000 63776215 18988763 39288047 40235582 1000000000000000000 89755348 43501514 30091734 20651673 1000000000000000000 102093199 50465120 17567883 37785660 1000000000000000000 921858912 815454988 23844387 427866068 1000000000000000000 300508809 149242035 190242270 275095697 1000000000000000000 764119450 595647071 359340331 100524125 1000000000000000000 113151343 69186303 68608931 26399111 1000000000000000000 247624167 218840956 202089953 18263472 1000000000000000000 589552860 65675995 283472651 104149291 1000000000000000000 311722855 91052463 202228761 191516134 1000000000000000000 826716153 686516692 118036829 688112812 1000000000000000000 541925102 208820728 465924462 138718595 1000000000000000000 476685092 21592139 103094397 240286591 1000000000000000000 558653072 454435583 193882942 153325195 1000000000000000000 258220213 116416193 203004643 180238061 1000000000000000000 763999565 579098291 125338486 314518752 1000000000000000000 880879301 732798187 548750718 779648093 1000000000000000000 973580639 132243442 969978642 909091522 1000000000000000000 794005614 352518400 686260036 316922482 1000000000000000000 446500870 378768621 421521885 277032988 1000000000000000000 824368208 95988967 231477400 142073514 1000000000000000000 79965783 47720814 30791446 3215664 1000000000000000000 963647644 458372859 536692327 618296699 1000000000000000000 203516028 124466425 158260187 157031381 1000000000000000000 422503576 384084239 61583449 400514135 1000000000000000000 798978563 476210439 792623907 143243639 1000000000000000000 140099352 3799340 25135400 42933405 1000000000000000000 371836991 28880288 244310966 353871661 1000000000000000000 278550536 129755306 126405141 24757338 1000000000000000000 938145609 150324548 316162559 422113351 1000000000000000000 825438376 602368751 674588580 172859281 1000000000000000000 851629636 464548214 788009026 121613228 1000000000000000000 481872468 172951216 186801518 188109722 1000000000000000000 985527479 578710209 442737186 930568465 1000000000000000000 209728948 41285422 17590265 101395196 1000000000000000000 34276138 11642537 10142767 10165007 1000000000000000000 546410344 545822809 456670266 260306832 1000000000000000000 241166555 99761509 143020746 221315378 1000000000000000000 192960668 119077679 61132617 126140596 1000000000000000000 495976185 274728310 251293270 81835780 1000000000000000000 403815614 266007456 198201456 182261734 1000000000000000000 628882737 522136806 263628243 369585360 1000000000000000000 474957772 260201070 440293120 57304149 1000000000000000000 806977103 333796892 444907973 467736981 1000000000000000000 98186636 2009354 26098433 25774569 1000000000000000000 472224521 124950208 350280903 196539497 1000000000000000000 639478035 171267045 592104756 103923276 1000000000000000000 558893187 145269909 401750271 318334381 1000000000000000000 852297433 112638689 728684963 86171573 1000000000000000000 404576221 79932896 350832725 86469851 1000000000000000000 753297803 332900732 114306351 223506567 1000000000000000000 335212106 14127981 274128584 48516542 1000000000000000000 770658891 215618610 679618716 229474350 1000000000000000000 30005163 13608780 3206489 2654309 1000000000000000000 180553484 49725911 31098181 154320266 1000000000000000000 149412853 135356680 147103380 52257217 1000000000000000000 262135944 54161734 120613236 223103181 1000000000000000000 196281542 33069066 77268816 25079722 1000000000000000000 170086219 105146822 21197027 27408503 1000000000000000000 417272710 137263521 398115381 247612890 1000000000000000000 239546787 228878705 177566126 172696407 1000000000000000000 519593582 33628425 392802414 170297237 1000000000000000000 552074296 374282128 106199874 110066686 1000000000000000000 497439767 236257770 65444737 193062516 1000000000000000000 923719986 572787144 202750670 921827369 1000000000000000000 560087634 531577682 509531829 109457265 1000000000000000000 129520899 107389380 87287489 23003331 1000000000000000000 152686352 121131653 137103999 148734945 1000000000000000000 104514823 55057301 41432041 25972068 1000000000000000000 86858473 27761593 70149213 31987897 1000000000000000000 814409164 60863532 175441565 445438653 1000000000000000000 72955985 26214548 54033133 58559946 1000000000000000000 441416415 439188899 102175040 143881877 1000000000000000000 450976931 289406173 210972694 41373969 1000000000000000000 256971894 68296282 129177840 200922999 1000000000000000000 296152414 131875195 294115830 41140271 1000000000000000000 604405984 298363177 564568680 46172300 1000000000000000000 24394241 19933798 9234769 17947927 1000000000000000000 881761661 312529257 877606835 140588708 1000000000000000000 898412234 258158156 507930507 592739778 1000000000000000000 330813065 43466644 181607090 190559649 1000000000000000000 528362239 128985075 232339198 390385969 1000000000000000000 348884446 272636365 79077356 219266495 1000000000000000000 328349897 17267660 13077652 251144942 1000000000000000000 344314328 110015403 178819909 294965374 1000000000000000000 122790267 85255012 45666663 102916010 1000000000000000000 85868765 38611736 79771913 70493618 1000000000000000000 397278203 81960900 370486156 328413904 1000000000000000000 185667009 127605084 177454212 45794087 1000000000000000000 143022978 121269779 18893607 120561020 1000000000000000000 902584041 741113033 825846813 327604081 1000000000000000000 149546766 139350082 94071056 5136261 1000000000000000000 583868123 405470574 12886317 122031131 1000000000000000000 753850544 243433144 343854944 63008733 1000000000000000000 819713425 31476098 694719255 819355275 1000000000000000000 447677687 364942386 335737797 163240998 1000000000000000000 433884248 42070467 267691702 140519116 1000000000000000000 395560746 189636955 137334968 16819814 1000000000000000000 990472592 207160907 395008227 980488713 1000000000000000000 641061889 119985787 80999248 276533307 1000000000000000000 37463923 33126470 34263604 19242036 1000000000000000000 154650825 85137163 141150413 137274701 1000000000000000000 702093431 5602846 452943750 178280393 1000000000000000000 645990636 7206486 391539485 128979507 1000000000000000000 847321251 300634383 153728982 189421588 1000000000000000000 99023063 17887116 45402006 80490273 1000000000000000000 709244627 651356659 347060864 441549632 1000000000000000000 111793064 13613220 69683433 56466780 1000000000000000000 149911963 77895224 101968068 128204764 1000000000000000000 33480740 1305340 17328316 19176696 1000000000000000000 458218552 277548410 369227390 239028893 1000000000000000000 705043606 599188198 432905408 53392968 1000000000000000000 388550252 208797671 35879643 224866760 1000000000000000000 82738238 24759821 5335960 69294696 1000000000000000000 115346201 86909589 43832310 730455 1000000000000000000 876564081 275184770 453965796 557969822 1000000000000000000 981506457 343693653 718717192 284676590 1000000000000000000 893292205 874743471 660129410 156600293 1000000000000000000 511229920 331146334 386558604 101075252 1000000000000000000 656449067 315159083 226843031 529328078 1000000000000000000 436629227 185179713 41992992 400065926 1000000000000000000 356575461 153130778 118512036 218230730 1000000000000000000 645631236 545188402 637931968 464315034 1000000000000000000 275702231 104760880 191145556 48549473 1000000000000000000 639227706 621727286 436539715 57623410 1000000000000000000 478904828 376664020 377793164 389569416 1000000000000000000 578765614 399937992 295765391 314588184 1000000000000000000 857093565 388922920 416491955 547089273 1000000000000000000 349835637 168906699 140957841 86225898 1000000000000000000 992076509 250925505 255079338 526342741 1000000000000000000 247872739 50677857 233572270 138731082 1000000000000000000 602188026 478222222 91791116 466465339 1000000000000000000 734861877 267449784 389559470 292785759 1000000000000000000 918144091 101526631 779827417 224222280 1000000000000000000 212346688 3450439 53194724 128650727 1000000000000000000 987295345 221175688 462431066 978060576 1000000000000000000 224990292 134388834 125188203 165221409 1000000000000000000 86781515 25176360 35176491 4085082 1000000000000000000 702138799 655984230 415125768 650510741 1000000000000000000 375741400 189280600 277098437 58386641 1000000000000000000 436399579 384254103 409233501 184048077 1000000000000000000 462207709 111402703 238892070 313694392 1000000000000000000 270454272 269303140 79840934 134311275 1000000000000000000 466618911 334131514 380011792 367441704 1000000000000000000 909013079 870469133 880784945 623436073 1000000000000000000 320131501 122561091 81445242 292721349 1000000000000000000 21958619 12485890 3678552 8241863 1000000000000000000 466725753 289059009 263326646 54244869 1000000000000000000 282385684 251601808 249486490 121881186 1000000000000000000 383969863 279771961 180891552 71632185 1000000000000000000 659551938 223949719 229157527 164479673 1000000000000000000 825886792 101431837 802270684 522601304 1000000000000000000 138050375 42507675 35878379 12588968 1000000000000000000 685791597 172499587 628572507 174588613 1000000000000000000 407569719 308594785 200289926 261859091 1000000000000000000 925659512 586164245 283146287 491933248 1000000000000000000 955235717 820169829 86406743 482652687 1000000000000000000 264643538 116370227 105309082 155004494 1000000000000000000 427359274 244481817 171823080 382237690 1000000000000000000 682666851 649813899 295442370 441842162 1000000000000000000 809488826 409461211 569872944 744409995 1000000000000000000 459425331 75253888 198101960 240800995 1000000000000000000 941312272 400806253 37199850 820559522 1000000000000000000 680169663 46116287 521600928 185941034 1000000000000000000 10749451 6136994 10402912 9386206 1000000000000000000 761803550 125467282 451360081 65440420 1000000000000000000 24894726 12132554 14240278 21243510 1000000000000000000 366314734 312251414 359274628 136545744 1000000000000000000 101017642 29743001 68621750 38460841 1000000000000000000 679689161 247493084 589905564 505914892 1000000000000000000 404645729 34148881 287999824 2386792 1000000000000000000 307487935 193088937 163528762 290112791 1000000000000000000 376525117 50060219 59213019 35727119 1000000000000000000 703541935 215460013 395120846 436117745 1000000000000000000 993826786 397721385 254071259 320587247 1000000000000000000 599232872 419806932 593533019 398778341 1000000000000000000 840855352 827340386 226526975 69097346 1000000000000000000 851301339 646957502 721610825 243283912 1000000000000000000 435741895 351008495 376201042 199527520 1000000000000000000 788419708 730040689 321365751 364507587 1000000000000000000 512670883 41953918 378942935 324031118 1000000000000000000 992721552 811294458 512645603 759629979 1000000000000000000 83156882 76585784 61793429 13154156 1000000000000000000 566487576 476607936 472094917 266473829 1000000000000000000 735221824 581191448 652426232 685429015 1000000000000000000 599217265 445405531 143493729 439683961 1000000000000000000 617156367 246165612 29147014 199963732 1000000000000000000 116856117 22479070 39909603 6765890 1000000000000000000 147103643 43856709 71734955 88668048 1000000000000000000 957342174 184096140 420364162 68608673 1000000000000000000 223147463 37013574 53863691 84007439 1000000000000000000 43344673 3584389 22478923 28214017 1000000000000000000 562204189 358423652 421103408 183358013 1000000000000000000 977450718 140193101 770912459 340444515 1000000000000000000 985404286 756368898 936050105 95962535 1000000000000000000 281498136 165927503 131128398 207650770 1000000000000000000 646391559 353714187 633474676 490864651 1000000000000000000 137254985 63531258 72458924 912760 1000000000000000000 982312830 877016793 724225639 475837635 1000000000000000000 977412350 736105977 955404182 964325973 1000000000000000000 26852697 18285477 9484208 24140453 1000000000000000000 64531823 22908092 30118786 52898000 1000000000000000000 627977508 115183270 132518230 223130047 1000000000000000000 790532457 159543034 357365787 163274794 1000000000000000000 568742641 154531187 120805326 153363145 1000000000000000000 322676245 60298975 55335389 288772499 1000000000000000000 395987260 33309445 9321759 282614307 1000000000000000000 60751429 10278930 21425811 6539324 1000000000000000000 123980106 67135014 110873447 4534488 1000000000000000000 456340504 377235830 224640100 340221499 1000000000000000000 338280322 223905483 335493445 26964179 1000000000000000000 788518808 546440882 232309697 308510637 1000000000000000000 507877437 203021492 363950350 360708776 1000000000000000000 34998762 28803884 27159198 31897035 1000000000000000000 783793220 615392220 263433425 405785933 1000000000000000000 927967304 421242239 175878681 702674990 1000000000000000000 142864871 47429958 127928119 80703537 1000000000000000000 517009164 147445166 437169601 368838674 1000000000000000000 670598004 519094787 415309185 44538899 1000000000000000000 934115848 646996956 36072649 742352450 1000000000000000000 403183662 105383145 71798831 238067 1000000000000000000 803257468 81869819 483890672 741628991 1000000000000000000 844616952 117879478 774808719 331107446 1000000000000000000 582960257 546430680 199139404 202467541 1000000000000000000 585475903 126201482 574120572 334465715 1000000000000000000 648248305 97319865 273795570 595756687 1000000000000000000 842113856 87463823 601291632 82256651 1000000000000000000 842197657 801733986 589834142 515913415 1000000000000000000 593719959 222558418 134874119 513208138 1000000000000000000 231367135 193024981 190193982 50958177 1000000000000000000 406864567 106784917 372440507 240784286 1000000000000000000 963444172 660577918 117635298 210379782 1000000000000000000 615750383 148744277 292426907 517381302 1000000000000000000 566263714 131678328 223537559 459173547 1000000000000000000 48335827 36444059 14890124 23079692 1000000000000000000 879923414 573052194 591533994 401301321 1000000000000000000 798893995 379048271 333761148 139877447 1000000000000000000 148554112 43955415 143022912 115474562 1000000000000000000 432652018 376547959 414393840 350624972 1000000000000000000 797827376 627285324 220753997 781843264 1000000000000000000 943309295 133577391 868190729 112997617 1000000000000000000 33280839 16438155 11029437 7044432 1000000000000000000 597116091 152182062 123494238 290972020 1000000000000000000 575412008 375305590 338716295 396414876 1000000000000000000 183401960 116545324 108499439 88003533 1000000000000000000 416135966 166145749 121830487 93627704 1000000000000000000 739501347 311109551 43620056 653604258 1000000000000000000 854698928 39925554 735770689 28103386 1000000000000000000 229096617 53871927 50174562 193568609 1000000000000000000 225247572 208125220 196879967 68624614 1000000000000000000 724928690 137156781 46464867 479800600 1000000000000000000 433876842 8335146 223343653 255357935 1000000000000000000 530413615 439897521 181653985 397202905 1000000000000000000 715773818 369114244 150217908 602168329 1000000000000000000 642351241 8891343 211709233 325910603 1000000000000000000 185462365 100588207 59395711 76507520 1000000000000000000 685063289 30551095 299138367 635119741 1000000000000000000 511244617 288604595 191253655 157417203 1000000000000000000 516510673 363146014 112488477 459157339 1000000000000000000 790875073 76821658 722198904 590144391 1000000000000000000 229102945 53663240 8355766 199371922 1000000000000000000 63725687 36644843 6737331 34132730 1000000000000000000 391221713 174707895 35078451 115030076 1000000000000000000 314037250 80499005 43594943 243367050 1000000000000000000 542771160 36543469 402803378 401119106 1000000000000000000 532909350 61496063 89559443 242234915 1000000000000000000 302683938 49037328 68143578 129427432 1000000000000000000 281341777 154704096 212441466 146524329 1000000000000000000 128553406 8519118 94629878 941295 1000000000000000000 459688231 19301189 392311698 454126970 1000000000000000000 700567574 155159624 23636435 605416384 1000000000000000000 45115030 2206018 31178516 5950030 1000000000000000000 97651590 29843007 58121125 27490904 1000000000000000000 410796698 253477707 83798993 273962007 1000000000000000000 948125180 905370221 239619169 845024603 1000000000000000000 2989581 2668725 2661363 1782421 1000000000000000000 614372172 493731680 86382043 554501045 1000000000000000000 904446456 243424393 830596240 280131787 1000000000000000000 733239099 325120040 178242213 669324311 1000000000000000000 703448584 544866489 634288893 590686283 1000000000000000000 815429974 532526472 171978420 277266790 1000000000000000000 10360577 1842439 3984648 9680759 1000000000000000000 472695550 116682419 162266257 392376120 1000000000000000000 462620346 443071353 119468360 175777270 1000000000000000000 336561552 257084371 91393063 140092272 1000000000000000000 515796232 337797064 36764796 65402136 1000000000000000000 208834355 139325926 198554779 4461326 1000000000000000000 693324747 193718395 483877256 583440822 1000000000000000000 33531068 13356953 24747921 23516904 1000000000000000000 463347200 381712747 128487897 106977326 1000000000000000000 8032049 2700108 6256505 3944174 1000000000000000000 548719865 44435495 320754018 403237212 1000000000000000000 34804549 12718418 24973332 31368075 1000000000000000000 311011431 21156443 43730463 192975699 1000000000000000000 937135851 335452805 518272364 597475502 1000000000000000000 262278361 76916842 17216676 196540721 1000000000000000000 959093781 808334567 20934020 157305130 1000000000000000000 491859246 207898801 132365648 222402793 1000000000000000000 459335803 280806740 34642317 396367001 1000000000000000000 479575890 203220183 423653045 410199159 1000000000000000000 318469624 278168643 311616836 169360900 1000000000000000000 687491212 462413016 451098580 256893515 1000000000000000000 689578307 390677882 647648632 594416505 1000000000000000000 279825255 128189023 19703650 80854790 1000000000000000000 316541148 147562761 196078362 197535940 1000000000000000000 604519993 502084213 269236067 348344102 1000000000000000000 386256620 309379434 367307348 293364263 1000000000000000000 537920901 68542812 134036499 354481803 1000000000000000000 53271011 41152163 23148925 5257087 1000000000000000000 166470567 164910302 103514719 118960561 1000000000000000000 583077959 265528755 360122059 381293620 1000000000000000000 997033274 705099584 906738789 891020012 1000000000000000000 561675565 180208522 5201292 158971950 1000000000000000000 524699847 252127361 370953012 497186006 1000000000000000000 988208411 457447972 941052203 318413895 1000000000000000000 502277029 412463107 11062225 229472030 1000000000000000000 423603020 280535345 119828025 177968509 1000000000000000000 599832782 172906787 244795000 200561376 1000000000000000000 880040850 642109941 534584667 576535810 1000000000000000000 304234788 110114947 100035601 21969523 1000000000000000000 529987756 223080225 249180189 199189412 1000000000000000000 264894000 230938478 113737287 41269831 1000000000000000000 39089115 4947160 23860752 627050 1000000000000000000 437979538 412541773 144483683 210649395 1000000000000000000 193166509 103457802 41132941 62271973 1000000000000000000 90180818 153264 42794482 73441231 1000000000000000000 254653039 239386633 194938989 188108924 1000000000000000000 358614494 193396805 208455263 6133692 1000000000000000000 487767933 178519162 397711736 277562413 1000000000000000000 145622559 144707124 52214661 82772941 1000000000000000000 939808233 221808150 810238336 280785666 1000000000000000000 978914413 91032816 42402523 106423974 1000000000000000000 303402437 29876986 72056614 67508224 1000000000000000000 468304585 322449187 423718408 193302655 1000000000000000000 903673935 52432997 7025167 766099984 1000000000000000000 13400745 3014338 3492141 10976013 1000000000000000000 635054789 344131797 472439218 99555173 1000000000000000000 767347857 352229013 585108476 5656879 1000000000000000000 852941081 453993318 172260093 501397170 1000000000000000000 79785247 48435812 1648853 65480799 1000000000000000000 496297742 144976705 455188338 200742911 1000000000000000000 833448789 321993017 455541106 697248819 1000000000000000000 944709737 485116088 776825822 437781267 1000000000000000000 104302084 35709867 43202974 54039309 1000000000000000000 532302828 507686082 406530178 491167430 1000000000000000000 884014619 802689117 293175224 453298573 1000000000000000000 946061271 189675015 202385006 423652236 1000000000000000000 414755275 80274031 291477454 299821952 1000000000000000000 791032420 686416142 152348794 669542330 1000000000000000000 31519208 14156326 5163136 15493945 1000000000000000000 270796061 22430201 170559005 139680785 1000000000000000000 981158907 32077664 39690457 236411830 1000000000000000000 210151071 78080455 152661650 169335598 1000000000000000000 377408280 200428766 128314554 47327316 1000000000000000000 248312773 31015325 38761079 57704587 1000000000000000000 376795584 128299852 250606744 326792855 1000000000000000000 347917346 75398866 198833006 202751526 1000000000000000000 507202948 430633354 269224147 41261007 1000000000000000000 259456440 90285860 219058149 106639606 1000000000000000000 492724335 16914359 381468916 129439577 1000000000000000000 661600488 544470263 355985225 25239443 1000000000000000000 104680641 11178413 104597039 4164901 1000000000000000000 458297150 99308451 31768625 8969905 1000000000000000000 123277120 36560201 69923911 17747798 1000000000000000000 150925050 16415826 85665496 49860024 1000000000000000000 614943283 68011042 462090293 489078563 1000000000000000000 915563882 492721439 797653904 388824432 1000000000000000000 704873443 537801271 613291500 404064840 1000000000000000000 387862615 239397258 119327804 256462792 1000000000000000000 967741169 936660033 466553708 320586679 1000000000000000000 470534438 241131495 134126738 104869496 1000000000000000000 887171305 25141383 806212649 762814707 1000000000000000000 177530587 19042714 43465196 28954821 1000000000000000000 296177069 81757772 150885769 2050798 1000000000000000000 380465039 33267067 272641310 143764038 1000000000000000000 560154961 469049009 169694582 45059165 1000000000000000000 768750504 249583820 459489117 373191121 1000000000000000000 390108507 311042533 159634451 87472923 1000000000000000000 873199970 535156205 541247159 317179411 1000000000000000000 33577797 6617616 7541512 31129891 1000000000000000000 697191418 384078709 584612221 457902887 1000000000000000000 823209468 466947815 58693312 454583455 1000000000000000000 684841487 204718133 53049472 625739878 1000000000000000000 903605570 797340505 699137371 406553371 1000000000000000000 324495780 169759764 170503949 294612794 1000000000000000000 590483461 11469658 210150325 430677414 1000000000000000000 88832345 43547737 63338658 19997525 1000000000000000000 492711574 402353348 66046260 85803117 1000000000000000000 289878927 289025211 156747418 31218276 1000000000000000000 90698468 81357028 4120896 90370234 1000000000000000000 587310437 31938797 219146644 198314627 1000000000000000000 678400831 619236782 545912608 602462282 1000000000000000000 817186797 404119156 160063513 42857813 1000000000000000000 605896496 24772396 190618069 239740447 1000000000000000000 164596545 21867487 62462868 52769010 1000000000000000000 432379803 282508448 308787478 367124149 1000000000000000000 221967166 219909727 100366278 35948355 1000000000000000000 47677179 10238300 44631354 37431330 1000000000000000000 292776781 116669066 277127076 238105973 1000000000000000000 806309512 271654622 760673673 498634587 1000000000000000000 998357939 784546610 575184098 871602725 1000000000000000000 218180075 38443967 82200180 88355970 1000000000000000000 819660945 649701443 110675257 259791448 1000000000000000000 24692822 381775 4941992 20327977 1000000000000000000 905091635 863196143 742970728 302083485 1000000000000000000 537036355 118829868 261393013 45504125 1000000000000000000 423017010 101232020 413806090 172484848 1000000000000000000 800098299 486429781 406074574 512617781 1000000000000000000 615394805 340194212 397810866 578711309 1000000000000000000 319969434 148899777 152945472 197821142 1000000000000000000 385067765 204266654 76851818 11499480 1000000000000000000 747866859 290749387 232929446 303865659 1000000000000000000 604694575 90111227 110122147 73424874 1000000000000000000 304843532 65929679 173861852 218209802 1000000000000000000 427426220 148180512 289466159 419691286 1000000000000000000 721394972 709916367 381408484 309135172 1000000000000000000 707121494 315868148 299853360 537757692 1000000000000000000 598340973 458926443 438506217 49318471 1000000000000000000 699800726 508211664 418927739 2596611 1000000000000000000 122673159 87767632 36531553 109097196 1000000000000000000 861194502 221464886 290919910 335392446 1000000000000000000 670892086 485465990 50959447 437580004 1000000000000000000 464518426 378398401 37957011 403335815 1000000000000000000 366142604 277256780 270114204 57918202 1000000000000000000 845388360 175226644 304442207 99154016 1000000000000000000 909203422 114428082 712175292 641902375 1000000000000000000 418784304 221297809 180365533 69163364 1000000000000000000 758029988 370477320 653648736 404088568 1000000000000000000 674106998 243004594 436949073 196955031 1000000000000000000 370788931 117852219 251676540 269221547 1000000000000000000 27052005 25772527 1435887 12469837 1000000000000000000 836709827 24082078 533599149 485783228 1000000000000000000 935757668 16867035 192735978 838208433 1000000000000000000 86970068 47442951 50489163 61854444 1000000000000000000 150083317 143303874 95977235 62669183 1000000000000000000 694906140 652344854 185671225 555005257 1000000000000000000 677834947 671341127 358695765 659018508 1000000000000000000 731601939 321827140 628409475 364216734 1000000000000000000 765447285 438563395 304761943 530438147 1000000000000000000 99721188 376012 57740994 3085819 1000000000000000000 790269891 764426083 390871072 454698263 1000000000000000000 997968115 364748919 362124559 176802629 1000000000000000000 27607613 19846217 4439723 20168052 1000000000000000000 894785564 39950755 133682680 200091060 1000000000000000000 180429357 105773479 101734991 96347704 1000000000000000000 141571490 105165490 58360416 18688696 1000000000000000000 336419813 32258628 239966741 39061460 1000000000000000000 439560948 143620351 327204310 50658190 1000000000000000000 586754078 552050993 85831632 259168937 1000000000000000000 870288053 707296389 864807119 571753519 1000000000000000000 980294874 866385087 148708370 76324615 1000000000000000000 71045123 47846401 3195627 65030445 1000000000000000000 92298279 27326161 8080869 46242688 1000000000000000000 205692760 117323139 181958094 152906241 1000000000000000000 169382564 60977093 56597260 4178142 1000000000000000000 365006102 108995769 320056690 217349111 1000000000000000000 542576501 414961382 522720944 372727052 1000000000000000000 490850966 489732434 15123980 13924465 1000000000000000000 565273371 72978634 184047839 41937544 1000000000000000000 774042197 451141708 364089773 284018642 1000000000000000000 958279254 25343419 861046794 790262252 1000000000000000000 360787237 257689638 173637 343169551 1000000000000000000 768783230 172936142 450490708 412273844 1000000000000000000 880419969 307790153 800213244 221456454 1000000000000000000 113492959 33953284 66027846 36960064 1000000000000000000 836913578 554242425 103513074 806040571 1000000000000000000 326128359 92381887 193063669 251379944 1000000000000000000 242557571 85868103 171830756 9003197 1000000000000000000 441773602 72371123 176165595 428576248 1000000000000000000 74723636 15217564 28943638 70764832 1000000000000000000 799786232 520315827 389144878 792833034 1000000000000000000 551121926 171804611 316537379 112734087 1000000000000000000 585741201 22361259 14534288 412224849 1000000000000000000 862331167 523775157 349121778 476530683 1000000000000000000 181490199 115614039 127679726 33001899 1000000000000000000 878883312 520793776 605799023 444925436 1000000000000000000 55163186 53140146 26171636 2299335 1000000000000000000 417850789 120982192 215920826 340469160 1000000000000000000 762986153 462585172 110985134 601616949 1000000000000000000 472925325 30535645 239806639 242461200 1000000000000000000 738793993 240093185 117184884 472644826 1000000000000000000 858407799 356092535 160255545 287908667 1000000000000000000 606939925 495645834 153737901 555749471 1000000000000000000 954905682 732201044 23231007 455917268 1000000000000000000 475011245 241061586 295977434 7987052 1000000000000000000 15137249 13126534 6070159 10141868 1000000000000000000 570744019 494773850 437245550 38546246 1000000000000000000 77049156 69423514 20619200 51841047 1000000000000000000 181240839 13003257 122094639 131248491 1000000000000000000 182076518 140852755 92803065 51345839 1000000000000000000 536123105 291123562 507241664 290266308 1000000000000000000 757716489 617997896 10964915 27358134 1000000000000000000 285116913 43426850 254042825 156500214 1000000000000000000 352898743 251199643 185879342 135004789 1000000000000000000 983314144 747838039 674104869 138092150 1000000000000000000 848327288 124664596 454586647 558367654 1000000000000000000 527768803 240251784 398253886 217414703 1000000000000000000 522783959 224255669 228653490 439694835 1000000000000000000 273702614 232842137 173869033 18771815 1000000000000000000 330205228 114456303 278654561 48172453 1000000000000000000 574045593 256992116 395093207 450013061 1000000000000000000 309936640 136406644 69346261 167275470 1000000000000000000 607883567 173626551 355190928 93216503 1000000000000000000 852037953 233277868 764681584 729493292 1000000000000000000 331667213 190835849 316226623 149545765 1000000000000000000 910454739 614357936 214543289 473716361 1000000000000000000 472179333 13440230 324613667 461851525 1000000000000000000 93947949 19417499 13828535 60880447 1000000000000000000 630297496 8496819 231637705 317199454 1000000000000000000 848316302 820605952 177541540 789090115 1000000000000000000 157270703 146140750 44509490 12063223 1000000000000000000 947014608 714379643 355141408 191717969 1000000000000000000 997103045 465973959 907595927 341856215 1000000000000000000 752918868 154593782 213352982 152308949 1000000000000000000 762515381 636209389 74052729 663077932 1000000000000000000 600735134 495495838 428272771 299939632 1000000000000000000 491952029 44566095 305973718 188330979 1000000000000000000 76357419 46954462 31228110 70897595 1000000000000000000 528918988 50944787 387523751 207649124 1000000000000000000 28443861 18884824 17649561 1337373 1000000000000000000 505741924 214029458 35097221 346165025 1000000000000000000 366598624 276872709 67233835 190769647 1000000000000000000 477924122 236886119 166076327 339477361 1000000000000000000 222672683 211696263 9719032 120582001 1000000000000000000 310657786 266611799 3804707 63493820 1000000000000000000 583182327 179981485 6759098 562589026 1000000000000000000 445101078 111175027 265491292 359732252 1000000000000000000 511631144 412683734 332990 381702138 1000000000000000000 677826172 42698272 572246767 460564809 1000000000000000000 419015002 275868887 83822897 154205303 1000000000000000000 140835437 11568851 72271317 90065532 1000000000000000000 348284425 331847401 271421194 314550403 1000000000000000000 845963575 404965089 726879732 373334746 1000000000000000000 163100423 112270126 103201882 118768598 1000000000000000000 712520686 677014556 65755539 157415832 1000000000000000000 28502660 7023733 18989591 1605817 1000000000000000000 803762831 268679643 585112040 43637543 1000000000000000000 423263348 209100504 320814500 57926117 1000000000000000000 926227663 182788418 268327431 523034910 1000000000000000000 766710054 571997055 407072200 713406336 1000000000000000000 945145511 351356537 824119809 218302724 1000000000000000000 543336762 280758632 429984456 187463902 1000000000000000000 265893808 197720686 229328029 76347907 1000000000000000000 180323850 77011855 31619185 26676633 1000000000000000000 898513346 681404906 787799252 862188103 1000000000000000000 878864127 820818362 225893505 495956669 1000000000000000000 34233773 27752622 15582532 22006361 1000000000000000000 339383153 75387748 99731906 226182724 1000000000000000000 735882367 245381552 493652628 579539999 1000000000000000000 765563186 97119565 303411811 119187875 1000000000000000000 772105860 393606573 219980923 734268469 1000000000000000000 633330994 151936792 516676639 44018761 1000000000000000000 322245840 190219494 3427362 294714193 1000000000000000000 253712810 156568113 84608750 166039215 1000000000000000000 812322035 729805157 146929264 459459211 1000000000000000000 268392021 241159115 187504536 121956537 1000000000000000000 183491515 83639375 53127182 102037885 1000000000000000000 436349415 344391393 392058974 192879395 1000000000000000000 587254661 473333431 204402286 210679130 1000000000000000000 979859410 738962476 190392821 483264241 1000000000000000000 870038698 177911120 133885689 231643020 1000000000000000000 162619890 108772868 150332991 133449518 1000000000000000000 787594258 127632839 553417003 281755178 1000000000000000000 788222832 590732952 663768140 621574286 1000000000000000000 67523835 2336099 48040962 16584679 1000000000000000000 728890637 651602285 640826116 13550909 1000000000000000000 543117779 472981549 286735274 441157311 1000000000000000000 102927848 8345500 79949455 78479462 1000000000000000000 141204170 81924470 129544278 9977965 1000000000000000000 227474289 121165515 69119815 216645119 1000000000000000000 856178573 455674993 256965663 401926064 1000000000000000000 872745719 330426170 346480548 331665768 1000000000000000000 274294227 228580477 113378509 52876337 1000000000000000000 483851267 400175849 423084704 258062152 1000000000000000000 879883026 253278542 809006370 96563869 1000000000000000000 690266030 480715013 332301049 170661883 1000000000000000000 176989944 113579262 75271096 112884178 1000000000000000000 954127703 638764175 489687468 920768342 1000000000000000000 792805183 661152513 223475967 452298597 1000000000000000000 301036094 156639267 249436103 126574210 1000000000000000000 477770219 471894876 350729074 345747506 1000000000000000000 705994175 198201514 670792243 122291173 1000000000000000000 664487012 295398750 420407075 285602470 1000000000000000000 918178851 127874649 165864167 544339571 1000000000000000000 14758312 14489591 954311 545385 1000000000000000000 208507115 20583637 43774099 118439508 1000000000000000000 884773777 598775151 873421203 755421297 1000000000000000000 718888757 16529745 128175772 485057657 1000000000000000000 161447666 39364610 161435892 122506114 1000000000000000000 469337473 181180811 72023838 329759229 1000000000000000000 67900936 29564906 31743427 2985196 1000000000000000000 337950071 18953319 122108887 227002818 1000000000000000000 991963847 709810900 878146860 788268869 1000000000000000000 80861380 77477542 72466190 13088210 1000000000000000000 411267420 149054298 56537896 158007204 1000000000000000000 771851339 22422029 553890964 414053212 1000000000000000000 954684064 271654718 947542355 84395771 1000000000000000000 494372608 335181539 75380890 183040374 1000000000000000000 523011074 197901326 277042740 123019320 1000000000000000000 35282001 33753468 7665663 5302159 1000000000000000000 538284497 493759969 129865476 68530659 1000000000000000000 921546474 466492249 385956477 126461207 1000000000000000000 897516428 840538242 737532462 681824230 1000000000000000000 871032106 254278796 122372610 27543762 1000000000000000000 120177028 99025831 17273017 102592149 1000000000000000000 944811430 839728862 1725830 574792261 1000000000000000000 279986758 228473734 237875663 202780695 1000000000000000000 699009428 53870715 402284796 267256779 1000000000000000000 798879053 131206729 601891705 661363026 1000000000000000000 356581429 23495505 235863832 99612099 1000000000000000000 342783581 169046715 258702695 3204184 1000000000000000000 584889452 138917524 359689046 501088188 1000000000000000000 135676894 118546029 125984323 131663375 1000000000000000000 21689404 12882280 20691239 14309778 1000000000000000000 244881064 139750848 69605746 9339639 1000000000000000000 309211160 41971550 138464541 224022894 1000000000000000000 669352194 523947102 489963770 143129138 1000000000000000000 130926618 5047302 30231965 122017415 1000000000000000000 292217787 38868530 80472385 119375389 1000000000000000000 882317221 292159720 494724609 791749791 1000000000000000000 537695248 127832359 21060489 277850412 1000000000000000000 960046996 792521860 314091076 651342795 1000000000000000000 739180485 146860141 39339487 108283490 1000000000000000000 972219377 133455470 812751936 220431265 1000000000000000000 429947697 276587695 296802841 115465002 1000000000000000000 80401072 46624671 65742686 28880469 1000000000000000000 155624899 79164173 18959988 100508915 1000000000000000000 209401775 127280600 170058619 18006881 1000000000000000000 64592273 18773103 4453004 54556927 1000000000000000000 495297045 452536142 366536922 299812602 1000000000000000000 622437188 108781240 539102658 516805329 1000000000000000000 758338521 143622569 687557461 505272640 1000000000000000000 220840746 8130742 158469896 58969181 1000000000000000000 964025032 141126875 576516761 116408193 1000000000000000000 713699272 485735916 40002858 381702827 1000000000000000000 637474339 489310220 409704565 57586217 1000000000000000000 949107260 192623256 696620206 45987409 1000000000000000000 149887084 48381225 132955264 49677447 1000000000000000000 869508464 204873851 52749109 658034571 1000000000000000000 295722701 70301044 184121673 216163470 1000000000000000000 476396819 209703644 269994976 292714885 1000000000000000000 677069200 579231115 75140020 245179564 1000000000000000000 199910006 129538062 54213824 71183153 1000000000000000000 306294849 148683795 115102742 86589430 1000000000000000000 491576500 349627285 162681715 139606787 1000000000000000000 802127050 615506184 699059768 585179734 1000000000000000000 851925710 44637887 541440808 549473714 1000000000000000000 1274867 226880 834504 871015 1000000000000000000 539874586 421833022 279802235 296001116 1000000000000000000 469150192 239119646 184734945 134060287 1000000000000000000 652877807 647044833 24441673 166342254 1000000000000000000 856135858 366053162 365307635 464924191 1000000000000000000 466822882 354102382 72781823 2550701 1000000000000000000 491326739 442367977 141487654 196321163 1000000000000000000 932018994 899678934 785023126 84175479 1000000000000000000 871278536 167485798 59900939 808131409 1000000000000000000 832979361 549818071 442191919 662252668 1000000000000000000 836297991 49478850 318636535 325928098 1000000000000000000 677279421 11281854 458673206 289020862 1000000000000000000 51574586 702881 39990051 29551288 1000000000000000000 57851192 14010858 28872992 54417207 1000000000000000000 376623778 192081374 229162474 346520389 1000000000000000000 575352577 564397482 362856780 68934856 1000000000000000000 539116140 53885985 410577848 77495652 1000000000000000000 842942158 276007164 761296103 679879264 1000000000000000000 644018429 310204142 56045521 224013182 1000000000000000000 765962634 300983754 213000320 518603481 1000000000000000000 175887579 79003909 4597829 145947778 1000000000000000000 998032282 367198693 774824404 42853440 1000000000000000000 796629774 15911964 361583084 672817843 1000000000000000000 463324599 99512930 89890718 99057662 1000000000000000000 938164896 137055799 189043534 233041726 1000000000000000000 486058098 482510291 288055793 158891430 1000000000000000000 936226418 191527596 781426683 521610051 1000000000000000000 778521152 600566779 199055564 148739355 1000000000000000000 121923529 76511926 114607371 57319644 1000000000000000000 263666424 84900164 124014529 198497277 1000000000000000000 522486592 457882736 217429245 189718277 1000000000000000000 696388211 303846977 551099421 476743579 1000000000000000000 137709347 133028295 127067270 64983687 1000000000000000000 250322170 190082933 4942597 31764086 1000000000000000000 440657319 298241991 75032272 5071298 1000000000000000000 606262884 63093340 105022106 423175005 1000000000000000000 926975887 420946562 915386318 386287260 1000000000000000000 138758631 22720853 43604476 37636173 1000000000000000000 390561978 84717423 84552188 120997880 1000000000000000000 677194062 439843075 619727733 578849561 1000000000000000000 952001872 21034036 43963806 390011264 1000000000000000000 721951722 106616404 456873201 587036314 1000000000000000000 579436512 290688909 232145123 465018655 1000000000000000000 325555662 257151558 76816392 317707156 1000000000000000000 373636068 77057250 361762067 370473146 1000000000000000000 358106014 352819756 144249070 136827197 1000000000000000000 935309371 629175256 335357843 746972895 1000000000000000000 72679488 36727367 46721285 39790975 1000000000000000000 695586360 49709488 539357496 296712944 1000000000000000000 988480293 697500444 980708987 551510066 1000000000000000000 696408579 198531780 100678697 541980358 1000000000000000000 31728979 26015005 8426633 30229741 1000000000000000000 787669483 276271713 180338561 309731591 1000000000000000000 256909339 72284061 4043238 19796227 1000000000000000000 568259514 420198790 245269916 85410224 1000000000000000000 293833976 166776664 110863086 188468183 1000000000000000000 402358450 210180671 44651516 137489442 1000000000000000000 813297430 273574903 276557809 574244876 1000000000000000000 150841100 29679558 106280073 95033274 1000000000000000000 583093306 120887850 378554657 264794734 1000000000000000000 95342136 80396599 90276442 23894629 1000000000000000000 625581457 111187433 386187185 72181663 1000000000000000000 881403718 293946504 715418312 487945027 1000000000000000000 681296182 273057636 402364991 118012824 1000000000000000000 413657748 319130757 244042144 92463046 1000000000000000000 394972554 306750178 297901570 60671949 1000000000000000000 281750409 216396267 209408678 202981202 1000000000000000000 240856887 17325411 35547915 189026567 1000000000000000000 654738533 316027782 647379789 478728244 1000000000000000000 32539684 20937808 12269867 9865405 1000000000000000000 211938392 199273792 210381038 86002809 1000000000000000000 646513471 305351095 534991563 189895572 1000000000000000000 479788967 292665613 424646630 140097561 1000000000000000000 899726827 495341299 537260352 274542645 1000000000000000000 471343520 268057755 260470652 204525906 1000000000000000000 986194531 537797493 282882072 410195616 1000000000000000000 738336780 315508414 347578885 647880113 1000000000000000000 390735310 127940240 334165822 113847245 1000000000000000000 913684420 728352942 212015850 519955844 1000000000000000000 274092703 33330233 18982751 148836209 1000000000000000000 856392523 33822990 464961607 586673463 1000000000000000000 398185213 271637817 39662436 37528137 1000000000000000000 944657797 10759407 913727950 573717064 1000000000000000000 106329048 77569362 82839183 62587956 1000000000000000000 925701241 266886753 637182381 667094901 1000000000000000000 503953802 47614237 312739284 254819906 1000000000000000000 405058582 219870009 124098502 35904688 1000000000000000000 5008398 3792950 1117831 3662229 1000000000000000000 344702934 309248573 259595313 54346115 1000000000000000000 380963224 6912756 327822419 15795839 1000000000000000000 472525470 185502761 397994524 326300189 1000000000000000000 450337302 18633725 185251888 234568174 1000000000000000000 7058773 4239700 3931191 717586 1000000000000000000 318311879 248621577 126641824 68309567 1000000000000000000 37115909 32427797 9011075 4362379 1000000000000000000 189365518 8470047 59475601 188708281 1000000000000000000 140838100 140394506 15523246 94504097 1000000000000000000 135746249 37449742 65729429 38897106 1000000000000000000 859360884 406968583 418577699 517730249 1000000000000000000 842050826 296642820 41135690 49961296 1000000000000000000 111285952 101525467 18202471 61451388 1000000000000000000 18033712 6296252 13619567 5679648 1000000000000000000 875113652 800163539 544039868 790952697 1000000000000000000 404882870 72840736 257104712 19332761 1000000000000000000 763400623 363912131 552666748 629360000 1000000000000000000 611678963 312992005 14494023 460043080 1000000000000000000 168847513 95166783 118806515 134218655 1000000000000000000 840960244 68248638 564702740 565422607 1000000000000000000 717895031 608344220 452143434 551199518 1000000000000000000 445881457 54318033 210376961 174439235 1000000000000000000 520369685 300982640 265982727 61080240 1000000000000000000 808019546 420575927 90710972 417664387 1000000000000000000 195293369 195138627 80672086 115312645 1000000000000000000 332543896 273231204 86754127 13832253 1000000000000000000 952969144 473791572 148736399 585391505 1000000000000000000 677838370 60002775 121152223 601960548 1000000000000000000 948005255 705995156 741013328 126617639 1000000000000000000 704029825 366050755 661467949 502325662 1000000000000000000 371649315 258010326 176659463 323464334 1000000000000000000 597818293 333481278 568602271 332990598 1000000000000000000 149926707 136425968 22924904 9658996 1000000000000000000 129167622 53362006 77639073 109715430 1000000000000000000 109568106 17069806 5765082 71839742 1000000000000000000 933988413 807996938 153230777 478376012 1000000000000000000 315870747 213928481 116585705 507341 1000000000000000000 520661258 514760114 148677850 500387726 1000000000000000000 924301207 18248454 218880447 229989766 1000000000000000000 98079155 80716881 85038983 90316603 1000000000000000000 948328645 658249197 906140300 538344822 1000000000000000000 346827636 282955195 59762696 28145883 1000000000000000000 317260159 43278750 24892325 46780854 1000000000000000000 361029978 69560246 23890408 183216790 1000000000000000000 323209511 187555097 106254576 281746004 1000000000000000000 881102358 379783173 785563676 188968179 1000000000000000000 44281958 40504050 26637022 9323204 1000000000000000000 314533802 152509064 256906708 62419861 1000000000000000000 676942346 274850686 656498918 566201855 1000000000000000000 717069127 304328370 213144000 562930041 1000000000000000000 1402444 1350229 875161 768544 1000000000000000000 608033254 144674113 235368015 146830262 1000000000000000000 588832838 301280893 132651110 130871079 1000000000000000000 69189903 44884220 9881547 56056569 1000000000000000000 221951369 112721631 95945293 138481566 1000000000000000000 771639876 119878333 279116982 687215629 1000000000000000000 214343594 16599561 47517469 140147846 1000000000000000000 5439128 752343 724958 356551 1000000000000000000 448026568 271130679 191328412 75914177 1000000000000000000 360584809 354043370 225579746 340260290 1000000000000000000 479185557 404866921 101382270 407004373 1000000000000000000 647209934 374103318 567871311 570047786 1000000000000000000 162831474 53896381 27252572 102650719 1000000000000000000 15919954 11318469 5611676 12054847 1000000000000000000 829365572 815071751 266169807 522072537 1000000000000000000 314501166 92050450 126829691 154887872 1000000000000000000 381508297 30404572 70944490 70762462 1000000000000000000 449427324 262451883 71247000 94176422 1000000000000000000 184140076 34759407 118199665 41402342 1000000000000000000 365280557 108870917 63423167 50286404 1000000000000000000 52337551 9616019 42792058 32452454 1000000000000000000 727658061 184555960 567625135 710464987 1000000000000000000 353176312 270442984 95566391 258475562 1000000000000000000 571765343 546292068 495813029 212751271 1000000000000000000 310503192 21425843 139682622 253121905 1000000000000000000 143380079 38477159 64954636 119559637 1000000000000000000 239126910 56165606 151628121 118220367 1000000000000000000 737914007 275266693 657848009 1910101 1000000000000000000 766733611 96527060 601073880 461647188 1000000000000000000 318204258 265686192 315032545 275730299 1000000000000000000 317750064 96071604 223835171 247017223 1000000000000000000 693292393 130724927 26236369 618220399 1000000000000000000 858534976 193283610 854393565 286453155 1000000000000000000 637782221 123255076 274980877 418556216 1000000000000000000 125353222 24161668 72243126 106921207 1000000000000000000 495448060 189145791 284413881 425016094 1000000000000000000 168125289 113293598 122192968 124050060 1000000000000000000 80427751 38152882 19900971 14943012 1000000000000000000 804417584 594068244 473221649 217398843 1000000000000000000 160707354 21288943 116958195 44885487 1000000000000000000 94748085 64974016 69589883 18440695 1000000000000000000 898591251 255163365 376121012 521621715 1000000000000000000 404478430 188305061 170384453 371595469 1000000000000000000 622806851 17251428 603513722 404754927 1000000000000000000 127155737 64353373 92145677 43295374 1000000000000000000 462494316 370983373 415736309 42091208 1000000000000000000 220158108 93093447 104548384 148570938 1000000000000000000 228442251 174664932 128903925 63179883 1000000000000000000 217546046 160986225 96415655 207594176 1000000000000000000 111435038 83427396 98222599 62433910 1000000000000000000 821385770 688121704 475836733 439360614 1000000000000000000 897470529 71772380 752940215 8496125 1000000000000000000 255780433 113941966 128324967 68242609 1000000000000000000 205681668 128048889 46907588 105992707 1000000000000000000 742772599 730536577 186871477 371534890 1000000000000000000 554585125 192160643 374907238 24442477 1000000000000000000 5428493 3685300 2140387 2445508 1000000000000000000 376102969 111899691 305161560 216236887 1000000000000000000 39728244 14901865 36712234 1821132 1000000000000000000 681154758 48276397 293689153 332583798 1000000000000000000 654426244 372193855 169230474 407537858 1000000000000000000 431599298 16996443 316728580 150019717 1000000000000000000 873667904 31877942 693775571 57244995 1000000000000000000 829123863 399366138 826194678 783847212 1000000000000000000 688889143 678030200 4039137 401097093 1000000000000000000 812744684 179062293 519827097 286956033 1000000000000000000 667291319 316681197 604445970 128813290 1000000000000000000 330044518 303254945 211920540 157602460 1000000000000000000 881650806 201948531 814784272 672621298 1000000000000000000 179133503 62747369 166949017 148611124 1000000000000000000 557800838 244277153 205082368 189843296 1000000000000000000 665253288 294945488 435755664 326685360 1000000000000000000 509662526 168921303 241385463 8020603 1000000000000000000 515117278 18641683 310085867 122082118 1000000000000000000 852128294 846163811 18711355 529468506 1000000000000000000 317652156 222181076 130026476 158896779 1000000000000000000 967709036 174575378 729519756 323983492 1000000000000000000 161556032 99804358 64458595 11762480 1000000000000000000 647378737 10520101 508745497 16235591 1000000000000000000 594045766 109472363 209703113 473818716 1000000000000000000 658132065 311609976 192823767 98460514 1000000000000000000 361077731 208302196 178656061 158513423 1000000000000000000 121365423 37370627 83426360 32667728 1000000000000000000 116379323 92415865 106730522 27358188 1000000000000000000 399395609 348135861 386100348 67253030 1000000000000000000 748678408 666242467 193046279 146722152 1000000000000000000 978164926 957741672 798058959 312823138 1000000000000000000 220463731 149033153 54711384 5026075 1000000000000000000 513297015 27297618 341596237 79900782 1000000000000000000 599403340 323080760 278794731 87292839 1000000000000000000 984025646 56848255 834423270 922450683 1000000000000000000 211965301 153395171 124227861 8660845 1000000000000000000 509167642 427328526 236121246 158068371 1000000000000000000 758469810 550298821 641671234 447552899 1000000000000000000 128885573 26643964 61926250 103069852 1000000000000000000 502061853 313246491 193702561 160135260 1000000000000000000 905409713 282781483 313534827 334453415 1000000000000000000 532548292 97298530 361142624 141055002 1000000000000000000 407654310 180726187 107128084 42833040 1000000000000000000 517968165 34597721 467980306 355207090 1000000000000000000 236479349 150229495 102973665 39487970 1000000000000000000 178753320 106382647 83358027 151930294 1000000000000000000 943811798 26993704 255285746 513452645 1000000000000000000 542820148 371887227 180599851 9290922 1000000000000000000 163435559 136606434 151863014 159399480 1000000000000000000 153052097 50031448 97889394 141988291 1000000000000000000 234585316 132795992 44097678 130194725 1000000000000000000 111063579 60663358 94848278 47735018 1000000000000000000 570740083 431547570 66660666 372727675 1000000000000000000 965512186 685544792 233310500 725769962 1000000000000000000 598069571 439959848 189708103 365347802 1000000000000000000 54156357 42566564 51221043 724499 1000000000000000000 505426121 351640111 395375398 139900570 1000000000000000000 108625706 20690242 48566091 7106891 1000000000000000000 929221648 367833435 754688676 769382050 1000000000000000000 127050829 39932073 103119653 43156461 1000000000000000000 705829275 703889811 559792907 530731423 1000000000000000000 167963095 152300879 88774032 11502241 1000000000000000000 320156149 34010378 145649347 166519098 1000000000000000000 44596695 43012656 9919792 39239856 1000000000000000000 866718659 54815924 105973076 619821096 1000000000000000000 355445057 128004637 255621685 70210954 1000000000000000000 92514512 7259636 14514055 21968094 1000000000000000000 300464660 297450599 87268355 98681218 1000000000000000000 263794022 147918037 26116934 40889283 1000000000000000000 807451295 454619432 372995387 451427986 1000000000000000000 391739870 174059078 3191721 267701260 1000000000000000000 352247715 19423056 209526591 145195105 1000000000000000000 845734593 510776137 146093200 58312018 1000000000000000000 770187178 661849979 252835237 86900052 1000000000000000000 773163943 437285228 540940657 414609758 1000000000000000000 314285329 121691061 167016709 207770865 1000000000000000000 540149626 233400563 385193390 10344159 1000000000000000000 281673411 2234477 190106095 229871423 1000000000000000000 861786207 616626927 499761882 252221161 1000000000000000000 258760213 106377065 210947609 207051949 1000000000000000000 460719554 303388760 209709542 240987475 1000000000000000000 976504550 438855793 32509221 784571289 1000000000000000000 31685959 18330634 13263487 19971807 1000000000000000000 936173411 154751729 64043863 682517710 1000000000000000000 177033843 89026154 97745179 80467272 1000000000000000000 849324930 234781682 396338517 512084590 1000000000000000000 300978258 186030193 273547790 12404332 1000000000000000000 153784302 74543286 148358764 16375723 1000000000000000000 659461944 206532252 565741658 88675561 1000000000000000000 729306022 124561905 291026688 17388120 1000000000000000000 750762151 390381614 189768094 267970538 1000000000000000000 127047926 24887051 36505040 50234901 1000000000000000000 312839790 48647238 120179379 220049405 1000000000000000000 515847890 399882876 153311332 392517744 1000000000000000000 425057186 336485186 240674554 54620415 1000000000000000000 665706430 167493978 45628076 632183771 1000000000000000000 121373622 28781318 119620998 27637168 1000000000000000000 281577782 31635433 121103493 77152834 1000000000000000000 856453554 235315966 280592398 401178388 1000000000000000000 791568223 55101701 547659894 542550143 1000000000000000000 691450095 472662456 67023910 606669796 1000000000000000000 593785212 17040212 464540533 528850187 1000000000000000000 133274276 131730828 121774304 124561230 1000000000000000000 301791968 163191977 194977908 113048490 1000000000000000000 795768322 776962320 234352029 612304443 1000000000000000000 974547975 650248861 655630382 962277667 1000000000000000000 195762358 26796394 50258483 18472838 1000000000000000000 723728036 674782443 303196179 466059398 1000000000000000000 17753523 13298180 13579635 7687137 1000000000000000000 24608292 8960578 23868094 4136244 1000000000000000000 498158156 425352464 462283550 447769018 1000000000000000000 489838626 14596688 456390566 171555701 1000000000000000000 484681878 396441386 190659643 293895445 1000000000000000000 689343907 433761884 125544760 266995295 1000000000000000000 454488076 77766535 257922028 66336620 1000000000000000000 364025742 15610857 325863568 143704296 1000000000000000000 132389207 76788287 70384997 26464457 1000000000000000000 789464000 556100523 74314291 86298736 1000000000000000000 635033384 243658783 52662221 498032741 1000000000000000000 80386449 41469748 13219955 27216430 1000000000000000000 975228268 464430820 807828345 736480042 1000000000000000000 297746068 73875165 140076710 42186775 1000000000000000000 6229414 804502 602982 2119539 1000000000000000000 382878988 348546603 179176847 130536589 1000000000000000000 679115704 136300336 416454174 227331528 1000000000000000000 836119980 416413387 780133074 559772583 1000000000000000000 192638685 36499527 93480253 118330827 1000000000000000000 940616591 308412071 934149346 830048522 1000000000000000000 254291050 142355653 203104386 60716602 1000000000000000000 36436483 31973033 1788214 33734672 1000000000000000000 606732602 258193723 442624757 378628241 1000000000000000000 962219469 635110334 224720812 390887589 1000000000000000000 774456860 280828826 299568706 260519352 1000000000000000000 787119957 348470593 192932322 299421659 1000000000000000000 348679370 9796886 161829770 246309106 1000000000000000000 951462944 302075783 221510606 787383272 1000000000000000000 735912375 135947383 250574880 262647952 1000000000000000000 480475220 234066984 436426566 324792607 1000000000000000000 599123315 512114119 372440681 133995093 1000000000000000000 416596791 38809188 161543408 104002730 1000000000000000000 327970203 159308619 252201751 130052900 1000000000000000000 625597098 327773941 576126109 518788215 1000000000000000000 957592286 847418417 208808948 181437837 1000000000000000000 83035787 67920242 36490499 82450895 1000000000000000000 801213590 403518624 247157399 438472037 1000000000000000000 244479929 123042206 187769688 118209786 1000000000000000000 408320669 367462082 103404864 165092164 1000000000000000000 790873022 504715307 281748713 124777209 1000000000000000000 690125675 291067933 355708718 498321708 1000000000000000000 746282608 196212543 490502310 383176120 1000000000000000000 871327417 93975781 324570200 782187143 1000000000000000000 947158773 643170789 185081057 371137359 1000000000000000000 188768344 54509023 93994731 142180271 1000000000000000000 767842754 322805700 41850059 13163899 1000000000000000000 698383151 129447468 416939258 610771570 1000000000000000000 663636781 328452424 473684745 14760292 1000000000000000000 588523133 71326833 573334945 8884388 1000000000000000000 684957713 155083045 15993151 269373910 1000000000000000000 115672678 30774388 35314442 78255153 1000000000000000000 571136918 465351653 509718148 109260014 1000000000000000000 482389831 279132072 137674831 400095448 1000000000000000000 612532845 148609083 121354209 226358147 1000000000000000000 711365915 539117053 313764988 20180316 1000000000000000000 493569102 59495663 301796078 135038952 1000000000000000000 860607305 621820026 736699088 649650429 1000000000000000000 51923143 17044790 48571891 21373181 1000000000000000000 924458602 78986840 773549481 759291359 1000000000000000000 652885268 291750865 456266907 218676801 1000000000000000000 378015411 125716149 266648640 262886890 1000000000000000000 334851525 258735996 115170816 67477360 1000000000000000000 736519127 145951896 455792373 400473400 1000000000000000000 264120805 43696182 154577836 88797099 1000000000000000000 420147162 311868590 37230271 21997541 1000000000000000000 342039976 174128941 146161593 300082170 1000000000000000000 811720791 305754638 61525209 63004279 1000000000000000000 73171465 65378766 29263995 30592373 1000000000000000000 281605597 106793550 155180149 216882999 1000000000000000000 954713603 44137891 594688489 442039660 1000000000000000000 594505227 66947179 291966233 223699119 1000000000000000000 955912201 922749357 411232050 729609220 1000000000000000000 24460110 14983800 17064662 9109640 1000000000000000000 857263388 147851280 460094285 749265656 1000000000000000000 948757873 380314725 321241614 776504822 1000000000000000000 58480812 42653677 48822354 55762765 1000000000000000000 875982329 608535899 251474631 785497507 1000000000000000000 226532207 65862813 146775430 97514296 1000000000000000000 744417859 567814017 408640209 320143973 1000000000000000000 922457662 273714145 516671221 375345043 1000000000000000000 929038940 596321835 578494140 881893763 1000000000000000000 43653350 2591040 37913739 42924611 1000000000000000000 926143554 871901081 215195098 73131663 1000000000000000000 385653784 319709836 180759047 178776010 1000000000000000000 395200810 281168851 24244025 611102 1000000000000000000 531203246 508749499 425375471 501283994 1000000000000000000 401572357 43006841 187454426 65227092 1000000000000000000 535746160 478182836 205232921 207650621 1000000000000000000 469920462 380135908 449420105 226012171 1000000000000000000 849988271 394923927 471346309 384722286 1000000000000000000 620804185 82658097 157132870 567439935 1000000000000000000 39652729 23823359 35545691 13275011 1000000000000000000 714110266 86942665 31662335 625582466 1000000000000000000 373043418 310234686 364992256 31776484 1000000000000000000 204197407 141020707 148731578 188576450 1000000000000000000 369458874 302161692 143679128 187012673 1000000000000000000 483973224 173107292 453912048 18500966 1000000000000000000 563924697 286871386 469978628 307487998 1000000000000000000 255439114 192401441 162178891 132016616 1000000000000000000 688854178 175124598 320719833 38415618 1000000000000000000 375644464 17998609 208458168 67672329 1000000000000000000 22148006 19954939 19702022 18359138 1000000000000000000 523732485 171335795 279349457 212442494 1000000000000000000 345400739 219362069 81230255 309579460 1000000000000000000 377673053 164613814 46881749 89122272 1000000000000000000 68150611 50867939 22175124 52028120 1000000000000000000 157188544 108505247 68676277 130918682 1000000000000000000 855341296 431922389 149363430 446625676 1000000000000000000 784544834 501068000 156733106 736039743 1000000000000000000 497101122 259087168 138969285 461359806 1000000000000000000 270930112 69962631 230132575 187109015 1000000000000000000 794931582 223743187 522562842 492055003 1000000000000000000 384406688 27218797 309964881 304695303 1000000000000000000 189070864 55641215 31088033 70725114 1000000000000000000 50758442 1358034 31785073 14008604 1000000000000000000 877670447 409105510 121873574 59418486 1000000000000000000 154062122 86152947 124289926 76018690 1000000000000000000 882104345 448086945 654448950 114867608 1000000000000000000 650727921 109009370 14950883 502804469 1000000000000000000 39775557 9259430 30886933 13271476 1000000000000000000 962723855 423317891 210221610 735568302 1000000000000000000 789976404 83723622 328716516 243198748 1000000000000000000 481662483 82741408 71301553 338973828 1000000000000000000 13951530 5900446 11152947 11632178 1000000000000000000 176957023 61431231 124717268 17472479 1000000000000000000 847488206 457806101 89374847 247918431 1000000000000000000 957415177 887476750 189187826 117592888 1000000000000000000 802254941 114048939 527356414 63761149 1000000000000000000 741788485 405174885 726211943 347101477 1000000000000000000 288663167 56328581 271684459 23852696 1000000000000000000 360675646 66330186 155561363 256457697 1000000000000000000 756597216 522274283 495518592 100562400 1000000000000000000 742744631 665578432 696995401 641484201 1000000000000000000 253417742 98449866 232520154 244399811 1000000000000000000 184144876 117060377 94090891 151655457 1000000000000000000 83507891 52784941 26709454 59296858 1000000000000000000 641548599 315544219 466011453 310952189 1000000000000000000 640489562 286083608 209992966 136438358 1000000000000000000 67796361 17427810 57260771 16823253 1000000000000000000 915338159 160634114 129055518 739841834 1000000000000000000 211267438 140393425 91038139 178578386 1000000000000000000 383827068 178392665 121819454 109692509 1000000000000000000 397099116 127073562 194175122 104912811 1000000000000000000 100692083 24689268 82556100 8680022 1000000000000000000 451760751 368675337 114538840 252644920 1000000000000000000 860138391 249236888 177664691 147588244 1000000000000000000 762995538 165776567 346043813 49462809 1000000000000000000 606743063 109387874 439615286 570317822 1000000000000000000 353447594 45671132 25120382 298350688 1000000000000000000 717356380 621322915 300407677 230391068 1000000000000000000 271839715 171906115 180697425 109486048 1000000000000000000 913873789 767586430 618647305 549637469 1000000000000000000 511832649 350092515 417780588 248051327 1000000000000000000 457743698 52504930 191288731 388379612 1000000000000000000 249046785 7856643 32765107 217120290 1000000000000000000 638889565 101064408 400033937 67679788 1000000000000000000 774467237 124252546 98612552 739966105 1000000000000000000 154598154 20301596 134445928 8311626 1000000000000000000 950700472 124244728 112313506 850311219 1000000000000000000 375869277 99471267 353488524 273407769 1000000000000000000 771372472 28368327 740962338 215357693 1000000000000000000 41241550 39943333 24379446 11140359 1000000000000000000 117589335 68561381 43315111 109563522 1000000000000000000 747965624 236460165 348326239 127396642 1000000000000000000 878833260 335956741 826309395 805075861 1000000000000000000 520081345 356857176 112997713 369617638 1000000000000000000 396827569 280337617 226577886 390823159 1000000000000000000 516299925 216507637 411284051 413515827 1000000000000000000 476719862 288582228 12895146 460837032 1000000000000000000 307922255 220983981 173117773 63317986 1000000000000000000 891742455 407245513 353754233 413129646 1000000000000000000 579563376 507148768 425274713 179575575 1000000000000000000 329768874 275878882 185726983 58033577 1000000000000000000 505486036 340763796 180624079 205065043 1000000000000000000 902769165 360367555 326711258 563894226 1000000000000000000 866989797 104772453 44731465 494861507 1000000000000000000 165985149 14526261 120467367 91144712 1000000000000000000 902357190 311402162 22097854 611572918 1000000000000000000 616743017 204287732 304550872 14421596 1000000000000000000 448003009 192877617 430957244 312321183 1000000000000000000 804147303 697976067 771148084 491600748 1000000000000000000 362432574 94680689 350332105 197640109 1000000000000000000 392382459 208920662 131150551 159791308 1000000000000000000 825955627 777174079 458812162 566341423 1000000000000000000 858976694 397230070 323669631 586867449 1000000000000000000 212898710 109576786 202694509 60158966 1000000000000000000 616806991 461330042 180652689 306504649 1000000000000000000 988150088 319367239 565690347 230135710 1000000000000000000 517393461 7057028 488314922 295343489 1000000000000000000 908660966 851492511 172845791 531577112 1000000000000000000 853081774 728432673 98273652 554637129 1000000000000000000 375984673 182852042 255154059 102011513 1000000000000000000 482370645 275445826 272911488 395639398 1000000000000000000 359888176 266754250 141271231 247349750 1000000000000000000 532043662 350198632 10385270 405156828 1000000000000000000 497985656 13128228 356285585 148878081 1000000000000000000 309596182 78698280 79477202 135453927 1000000000000000000 762868635 688726070 658220717 304107211 1000000000000000000 267071480 88137608 29044512 109734999 1000000000000000000 129344913 39178548 86251022 6355214 1000000000000000000 529488417 126286971 185022090 44122513 1000000000000000000 612352338 13714793 273193697 556873266 1000000000000000000 435794530 77533421 332572345 135128524 1000000000000000000 620685420 447506756 159547881 43545346 1000000000000000000 821607235 781607794 123280160 470068669 1000000000000000000 576942986 405896489 363469676 335987100 1000000000000000000 952808473 16744534 886852836 783640183 1000000000000000000 369890054 161942014 329538481 8598804 1000000000000000000 592174157 491810576 5768744 47922373 1000000000000000000 300504526 43286961 252738184 117056537 1000000000000000000 680742578 148321463 423634929 194188328 1000000000000000000 379584804 162215295 44544678 71732779 1000000000000000000 496317334 54622742 287631503 129287420 1000000000000000000 44745992 24344591 11506438 33251255 1000000000000000000 393774751 85192366 228486064 237087013 1000000000000000000 147357729 128377609 58568060 93953082 1000000000000000000 226455933 199347888 186077289 2737008 1000000000000000000 114901912 105077929 92598498 105175854 1000000000000000000 857514457 94040509 204739297 261004927 1000000000000000000 614878837 321744687 302990432 71705287 1000000000000000000 56410820 10388664 36144999 39475416 1000000000000000000 887265439 809932594 663130650 277356813 1000000000000000000 332858575 320866588 265957881 299396206 1000000000000000000 326162875 99126666 293480400 177441775 1000000000000000000 647407278 558965015 221158216 116423882 1000000000000000000 628946432 394217450 292503829 258273370 1000000000000000000 467608931 381486647 108108324 383599899 1000000000000000000 53096430 254204 44448818 35392843 1000000000000000000 336708207 113505705 283412023 188483264 1000000000000000000 696713425 413313444 566869277 467571404 1000000000000000000 455767076 256659962 236728171 177915966 1000000000000000000 358714129 107619366 210122900 117363553 1000000000000000000 76333265 22131112 71706898 61037615 1000000000000000000 194665030 14285666 139727188 8207366 1000000000000000000 326573685 248517928 19866555 266854241 1000000000000000000 297523625 238196547 252152701 121326163 1000000000000000000 876279976 195595543 164279710 368929705 1000000000000000000 404904488 96427202 388112789 66618805 1000000000000000000 118980647 39605322 72253810 46038687 1000000000000000000 130025517 76704117 82582293 121319184 1000000000000000000 411319552 99416492 53061613 176684700 1000000000000000000 54406177 1319799 10748445 14631067 1000000000000000000 189047795 4109452 97546534 28151889 1000000000000000000 146461199 54167994 45464601 82811387 1000000000000000000 913773200 344089279 754317784 370660000 1000000000000000000 501208254 189694799 173922468 457927372 1000000000000000000 358394709 35561344 278250097 11697785 1000000000000000000 304082324 82909904 3185462 133274127 1000000000000000000 381911503 338883806 29008525 370926697 1000000000000000000 647424513 532184738 581633571 582853666 1000000000000000000 900609854 690933403 446976566 704090840 1000000000000000000 276042858 37880135 252826397 63903413 1000000000000000000 966887575 717476006 155233577 806535218 1000000000000000000 48925569 36068878 45837383 13656652 1000000000000000000 454290022 134726614 275283449 86318690 1000000000000000000 83616560 4159956 45111014 60414372 1000000000000000000 822235590 787589521 513941381 687739354 1000000000000000000 558593285 17487451 505290504 330656537 1000000000000000000 98527279 74649165 97361388 83477590 1000000000000000000 274461280 135192205 15880627 235835425 1000000000000000000 568946006 72942428 226719913 195373637 1000000000000000000 341866392 277347290 260793272 152606788 1000000000000000000 276878361 30941439 170576556 234580031 1000000000000000000 332965007 154216703 314112433 119692222 1000000000000000000 379401868 21076743 96497612 74835943 1000000000000000000 52744175 2827709 30316165 40497830 1000000000000000000 57701403 6903413 16604844 16599977 1000000000000000000 360997560 274111207 170387877 10918813 1000000000000000000 265124406 216526676 39359329 151921406 1000000000000000000 398003452 96472205 246167834 217834435 1000000000000000000 334499716 171425000 101273597 245108744 1000000000000000000 188237352 175592008 81175057 94361212 1000000000000000000 900984475 189132849 260285578 715818989 1000000000000000000 320788043 71665413 295588198 210958798 1000000000000000000 632548716 215617281 49544844 235895265 1000000000000000000 264690540 58125760 109116912 142665676 1000000000000000000 401155628 12081767 301611344 175085362 1000000000000000000 941279298 463227154 779423684 598243122 1000000000000000000 231825057 204437632 225364927 130885391 1000000000000000000 835618932 106866175 536328421 306835906 1000000000000000000 813947574 275508390 492992017 186039222 1000000000000000000 247759328 144536594 125800951 144216118 1000000000000000000 295452916 292589163 48603009 22952867 1000000000000000000 659334692 421393884 279740468 313678730 1000000000000000000 518688933 399078055 372718650 191619437 1000000000000000000 123015149 62580123 16563604 733044 1000000000000000000 165808174 80987875 71129535 46883242 1000000000000000000 604765765 75981841 265352421 26950950 1000000000000000000 954998474 522329944 672159860 501538443 1000000000000000000 175709898 88689502 126388166 132927602 1000000000000000000 554221646 442534819 460027444 258526130 1000000000000000000 511999590 408589388 201923962 510601998 1000000000000000000 252403636 164763170 240116981 106458748 1000000000000000000 865897357 352267366 242898872 831599699 1000000000000000000 467246675 300249994 266900777 69458717 1000000000000000000 126910822 50067688 100521720 117391511 1000000000000000000 198296901 64130332 139744976 52978857 1000000000000000000 439750897 355286861 11237550 68816565 1000000000000000000 864504704 156455227 792362849 171056273 1000000000000000000 891881946 418817895 103046351 26024676 1000000000000000000 976697254 815970397 187082107 601531081 1000000000000000000 941616293 14621918 292824372 258864643 1000000000000000000 806752893 232644932 254692045 681324725 1000000000000000000 9803260 2316002 3920368 1149230 1000000000000000000 526940051 150444362 52477638 134406668 1000000000000000000 857111778 415223902 43497767 562012273 1000000000000000000 372479959 78678334 335527693 320780845 1000000000000000000 722202105 189809005 395425113 308650748 1000000000000000000 759814533 270203005 551340363 648680909 1000000000000000000 788950319 657842383 696519247 551596710 1000000000000000000 563134056 545212155 534942659 367940032 1000000000000000000 64728839 38805900 12792055 26910104 1000000000000000000 827903318 723299799 640866507 247410112 1000000000000000000 384968626 178837224 127130740 354521862 1000000000000000000 31453245 24311440 31155871 27347261 1000000000000000000 716791931 468621396 460085031 115045255 1000000000000000000 851798869 153351606 315420769 810379270 1000000000000000000 900487715 593813949 704389561 469635414 1000000000000000000 462263083 164176776 29800507 430885298 1000000000000000000 493974890 130439993 128265902 195940616 1000000000000000000 345030889 47944571 114631187 251863338 1000000000000000000 538043711 251083535 2844122 388985380 1000000000000000000 882345525 826769962 483235566 218060883 1000000000000000000 713535514 78867008 598069783 364576182 1000000000000000000 120146210 67632067 15036190 107198618 1000000000000000000 657595775 62508202 288381159 29388460 1000000000000000000 692428066 667624366 648455109 435811480 1000000000000000000 115409719 22867666 40821343 9400468 1000000000000000000 586633549 415705022 76622962 329501605 1000000000000000000 260812247 259881803 234489041 89632028 1000000000000000000 222426152 125627723 125853822 216190354 1000000000000000000 697495304 129734202 80866817 216088168 1000000000000000000 757016943 752121573 64807674 110381786 1000000000000000000 144093248 96138250 69033245 110235848 1000000000000000000 633988677 503345834 174695522 531637803 1000000000000000000 267618032 168055272 18569162 203839851 1000000000000000000 429676624 229456293 344412236 342325807 1000000000000000000 130723512 124070153 65141606 4277046 1000000000000000000 953012129 196842073 942458517 952362130 1000000000000000000 707402297 628592405 47357846 308465276 1000000000000000000 634300925 568912088 492867365 273904575 1000000000000000000 231480762 223882108 85074330 182637845 1000000000000000000 493200767 218700467 402689899 89415107 1000000000000000000 620906569 343879916 371921932 222576213 1000000000000000000 860146337 492546993 636255577 792553937 1000000000000000000 813653825 217107258 794651971 138625957 1000000000000000000 188528644 107649095 56874384 117076135 1000000000000000000 741243057 483260032 564332919 530097503 1000000000000000000 404009653 128155061 71395057 313215635 1000000000000000000 298647644 220160645 68227033 208093725 1000000000000000000 162153975 28053884 94144781 122186909 1000000000000000000 242243612 125842445 48056243 225364820 1000000000000000000 586583484 198245422 82317916 556168398 1000000000000000000 393161515 351023665 248905445 91671234 1000000000000000000 380700512 306220569 279960149 285630770 1000000000000000000 213927908 101761561 126909628 118616868 1000000000000000000 399637277 269611314 266214379 73283730 1000000000000000000 222069378 92389888 14294453 45924588 1000000000000000000 77806165 55728003 13084430 45028137 1000000000000000000 94412193 76742346 15361867 63333305 1000000000000000000 408073628 291927449 161895852 303964951 1000000000000000000 520036848 290197943 197382988 320714597 1000000000000000000 348613844 103607279 282955119 60030848 1000000000000000000 620044004 313999082 140694961 21572999 1000000000000000000 979386716 91356324 608862052 30419865 1000000000000000000 379545981 206695610 372229645 144523830 1000000000000000000 967561936 113724091 765311597 490495497 1000000000000000000 564850360 174757438 155074009 325883593 1000000000000000000 287434183 265821795 190354952 52406229 1000000000000000000 836589973 62836180 637669810 430425290 1000000000000000000 18856599 1317951 1036760 11616244 1000000000000000000 336078822 20287338 16908569 165172495 1000000000000000000 180449362 133891300 121198954 96126564 1000000000000000000 891728136 108160118 303837216 519272977 1000000000000000000 881487886 541736280 127858103 211205648 1000000000000000000 741296578 303673920 132665397 602580799 1000000000000000000 699139476 296261121 416664319 553029845 1000000000000000000 48791997 18903793 40062612 18760747 1000000000000000000 286646785 267432647 126727439 34378322 1000000000000000000 819272465 82379280 665111666 129142586 1000000000000000000 331183987 152207083 152141003 25050968 1000000000000000000 392151018 376010004 20948334 173391992 1000000000000000000 950528866 105266036 776375102 873686021 1000000000000000000 591827321 17368273 72380724 110715023 1000000000000000000 449477136 14795514 63276791 252696264 1000000000000000000 482546135 15950241 151725463 423885063 1000000000000000000 109023048 104162748 60529749 17586582 1000000000000000000 88859353 23246708 56572511 72569786 1000000000000000000 768361196 762517377 511631285 273973108 1000000000000000000 183924185 171368325 27979829 173312801 1000000000000000000 792577406 538810273 618022747 536467296 1000000000000000000 77518387 38498876 17005628 8868041 1000000000000000000 433799560 128201470 21378496 302900361 1000000000000000000 656679802 11422405 167862345 374959677 1000000000000000000 465887858 32023581 95169558 461279762 1000000000000000000 445097662 400878193 130396662 379214524 1000000000000000000 778818874 230686961 418077173 746042455 1000000000000000000 588764265 147308992 414785160 386864900 1000000000000000000 185853736 9124042 114790156 89497777 1000000000000000000 850957620 558025193 88824499 524257427 1000000000000000000 730515119 59931937 671329728 543467350 1000000000000000000 867775620 437297004 352556041 467938304 1000000000000000000 458184465 104159211 116068353 45170880 1000000000000000000 449660008 210374327 41562828 442496697 1000000000000000000 950279854 920261458 919909574 694462526 1000000000000000000 565883606 195735736 292385470 353223386 1000000000000000000 77547563 32641056 62779164 64352778 1000000000000000000 579037292 240414435 469497099 174374046 1000000000000000000 885309476 473442352 61907501 649112934 1000000000000000000 752227763 250565991 504368806 551986571 1000000000000000000 428744161 259007174 411030197 184576310 1000000000000000000 926992433 381445109 329442404 89775050 1000000000000000000 45795254 4350388 5708750 37743565 1000000000000000000 8889605 4112301 4002064 7160772 1000000000000000000 396608689 326144158 251261151 197024776 1000000000000000000 564057972 370745253 99996036 143894463 1000000000000000000 722807243 542704475 495563544 565629996 1000000000000000000 643317779 502397200 425937117 119182844 1000000000000000000 4082518 3229983 572823 288885 1000000000000000000 169914923 118167097 91025687 78914404 1000000000000000000 578069960 439221292 228626579 498870108 1000000000000000000 592428541 329966744 484280668 29020509 1000000000000000000 645635011 642189146 553917346 63150961 1000000000000000000 733864356 629667190 42330454 163899841 1000000000000000000 240793030 63450654 158299486 112422401 1000000000000000000 955208091 379211193 559854605 755582682 1000000000000000000 400102217 342211331 210199822 202226675 1000000000000000000 799867791 104239897 621776541 346878625 1000000000000000000 618395874 301548680 540108193 17115868 1000000000000000000 646381761 297390244 175680937 10251505 1000000000000000000 195188012 105295516 159789744 171666265 1000000000000000000 439309981 74519967 371605506 364207704 1000000000000000000 829497487 495957836 515341494 374354598 1000000000000000000 423113364 398181201 274103957 156266429 1000000000000000000 595872501 562691015 386029306 569809030 1000000000000000000 328742236 152507243 16440092 18869546 1000000000000000000 339013507 50465290 75432560 194452742 1000000000000000000 264669592 132646594 95286768 147633796 1000000000000000000 136138828 121181001 72011898 7006293 1000000000000000000 654524125 191731080 382919475 547803150 1000000000000000000 449849916 301478382 324142627 82141878 1000000000000000000 973066245 846728001 120272022 237978169 1000000000000000000 997264055 93440892 129234746 895439555 1000000000000000000 129238453 87851358 68698165 62669835 1000000000000000000 949781074 742549437 593872780 112682854 1000000000000000000 79532521 44062242 6301947 64165107 1000000000000000000 55508627 35533822 3351580 18784316 1000000000000000000 869409484 220540297 48036548 38760735 1000000000000000000 527535140 456247961 249707793 487152446 1000000000000000000 968777113 53151284 298056506 333577339 1000000000000000000 782207273 713571491 521505983 498372200 1000000000000000000 324470720 264184185 285759288 201317771 1000000000000000000 77552021 2371676 67978660 34615336 1000000000000000000 155956686 101968321 24062535 87813223 1000000000000000000 550208742 124280438 70568998 238572307 1000000000000000000 503220161 436412440 33433275 203645289 1000000000000000000 511049649 55842149 337891721 246989437 1000000000000000000 799070269 315283372 698903260 553666443 1000000000000000000 512193783 122498104 208970691 508945910 1000000000000000000 424601611 395062909 250614210 177065244 1000000000000000000 842254689 76173891 41750211 818967662 1000000000000000000 620595083 493608014 571404000 348299126 1000000000000000000 419634833 342709214 173815416 3661729 1000000000000000000 85338265 12144146 74442570 40543563 1000000000000000000 487676283 458427162 487352329 85453165 1000000000000000000 923107337 9014017 672410804 335307177 1000000000000000000 742240151 62558284 396701724 45266930 1000000000000000000 528299497 505751364 414487347 112219213 1000000000000000000 469974419 2150042 338274553 12231293 1000000000000000000 729373880 408669478 351541911 35728243 1000000000000000000 578536675 85038772 57398298 85031856 1000000000000000000 842032721 332564336 586053065 79111479 1000000000000000000 338163357 93999624 244381228 312094610 1000000000000000000 985427973 420853241 936539702 725512734 1000000000000000000 703848886 532170511 547926891 214731502 1000000000000000000 187127944 129294874 58103004 65538558 1000000000000000000 766460858 515761231 180938315 179471329 1000000000000000000 47591630 8434701 9831783 32534603 1000000000000000000 583336221 160017570 175402953 393640519 1000000000000000000 588956953 96568960 462450941 358371393 1000000000000000000 925748826 900944463 27799510 290481772 1000000000000000000 348647520 271404437 304648946 113644610 1000000000000000000 175430201 84742255 166153485 112217075 1000000000000000000 627068343 563486652 95944937 189900799 1000000000000000000 484830761 160166751 295673072 341421680 1000000000000000000 647806783 587552490 95105308 647539601 1000000000000000000 565062518 15224006 352653165 219386716 1000000000000000000 771611709 239133578 507671097 371846440 1000000000000000000 497920726 389369714 245412028 277639502 1000000000000000000 518648116 224425025 187825486 68064333 1000000000000000000 748509252 65968359 662803700 168378359 1000000000000000000 219729031 29102177 159630050 177511850 1000000000000000000 399945641 291150926 237581102 74349146 1000000000000000000 25231479 17591918 7006389 703418 1000000000000000000 82600948 72351113 73557044 34876098 1000000000000000000 222679516 203687403 40951978 65799213 1000000000000000000 970474307 672451917 739058711 949633048 1000000000000000000 402374179 108424743 251806342 385826132 1000000000000000000 95575546 1688390 66360375 74362116 1000000000000000000 825654390 707845102 779815994 823208574 1000000000000000000 899622385 519670099 719212129 700922227 1000000000000000000 206535456 81887902 23055713 134781831 1000000000000000000 281681319 182882260 266173942 181221927 1000000000000000000 341898100 82420841 272616333 145934410 1000000000000000000 685502517 274685743 638105768 102496595 1000000000000000000 704463663 213351067 442583020 522292474 1000000000000000000 658993323 606968270 476761373 150388555 1000000000000000000 415141301 337396866 74421828 374797340 1000000000000000000 204370886 36173104 87842045 152997550 1000000000000000000 344258040 104030694 134061444 118309980 1000000000000000000 225404624 103010094 73563973 27001363 1000000000000000000 197950135 12886084 196169455 106096125 1000000000000000000 57632548 19088481 21896003 30070861 1000000000000000000 145652283 121935974 91383225 48891556 1000000000000000000 50834191 34989018 14487359 22864975 1000000000000000000 953596859 625361092 671197581 742736208 1000000000000000000 444376885 311880674 229557066 436544226 1000000000000000000 344087178 144036543 117829165 191993918 1000000000000000000 540705383 252277152 383565230 514942672 1000000000000000000 326831123 46793383 301172912 243011019 1000000000000000000 126132606 16860177 6349486 118825629 1000000000000000000 482781244 238988281 329868169 61101029 1000000000000000000 861871961 491056864 109066830 91460388 1000000000000000000 120567813 88668468 21059499 91036121 1000000000000000000 688434670 166171152 255472273 104728491 1000000000000000000 465959799 125986674 294086655 130725442 1000000000000000000 183256291 87608755 104066587 19671918 1000000000000000000 178294442 49763883 48256654 51880418 1000000000000000000 983590022 159608472 16057230 339488834 1000000000000000000 218923099 119233694 136902766 73345463 1000000000000000000 56428927 8987109 24429721 3375285 1000000000000000000 59935046 54160507 26048855 56633783 1000000000000000000 912520199 194905512 398401332 772537124 1000000000000000000 42126462 36860262 22235889 29082289 1000000000000000000 565455439 176343725 318639864 97096929 1000000000000000000 372170606 179812608 187157536 213451269 1000000000000000000 113639585 27444103 34660028 43925486 1000000000000000000 786373554 406005513 684744552 262160999 1000000000000000000 26750000 11479335 2326859 18623285 1000000000000000000 257679741 162942582 118571582 136122421 1000000000000000000 334626831 289554620 203439539 32047287 1000000000000000000 52237202 2569003 45557639 17798211 1000000000000000000 466690934 197595515 115328799 221141648 1000000000000000000 643961309 507450321 281870900 587272426 1000000000000000000 709529915 440242565 605490720 657116913 1000000000000000000 421463422 4926205 357435581 397568274 1000000000000000000 92011338 15022007 79373144 71763344 1000000000000000000 326587097 176944783 224596657 190549555 1000000000000000000 769091359 607221586 233116610 568185035 1000000000000000000 295110207 267551917 144912315 222337079 1000000000000000000 846295689 425425672 408983065 184673948 1000000000000000000 234843918 161959207 203923643 189479414 1000000000000000000 444751687 57892414 140624574 305271431 1000000000000000000 182864333 93577702 176522255 49373274 1000000000000000000 840973423 46489291 253514410 593647185 1000000000000000000 788979514 777768002 20399174 328246821 1000000000000000000 493281617 232637219 383147971 269626853 1000000000000000000 173948733 75989734 122457101 39994951 1000000000000000000 110042078 87262362 18908905 61005962 1000000000000000000 35497826 9698097 4696635 20986388 1000000000000000000 438553984 125640722 21707483 401752939 1000000000000000000 501171518 103956641 333335331 297774835 1000000000000000000 540204072 402149370 208193212 340019458 1000000000000000000 463992670 321324150 174151346 414891709 1000000000000000000 870875308 741324377 497821591 816116404 1000000000000000000 427782506 26262536 60116653 167326872 1000000000000000000 105406940 90200819 8174629 47888109 1000000000000000000 342535728 191272151 121829055 54673924 1000000000000000000 295525312 222451925 136555551 145800740 1000000000000000000 758584268 623579399 1236617 683672065 1000000000000000000 526319509 7393124 209106808 59487505 1000000000000000000 326015547 313394828 242186699 121824613 1000000000000000000 448004808 384929658 360110756 217283864 1000000000000000000 62044612 54955260 45301875 9111957 1000000000000000000 856214362 678484087 17039672 91966648 1000000000000000000 112441710 40036330 28048847 63168239 1000000000000000000 806404521 395852 287764918 121059190 1000000000000000000 181341996 36597367 6946811 98541147 1000000000000000000 744488586 150492266 201698415 190885165 1000000000000000000 901834893 819640226 170217546 406190375 1000000000000000000 946142787 937194009 717718791 69799625 1000000000000000000 127898879 124253338 14167976 86154560 1000000000000000000 467115080 12277602 214843121 252473269 1000000000000000000 410397469 226573691 136779368 323024534 1000000000000000000 501889584 262979510 157739756 264967620 1000000000000000000 484914801 252165728 216096708 66092515 1000000000000000000 203638607 23790347 49520724 162584839 1000000000000000000 355352440 166448895 292245608 229500026 1000000000000000000 637396548 463094191 483145746 146553091 1000000000000000000 960421828 188807250 489631230 416003761 1000000000000000000 202784547 73648486 79923398 105624852 1000000000000000000 24697805 1859979 20520223 13734162 1000000000000000000 609024556 72572436 199260752 595247099 1000000000000000000 32846974 23574688 12907063 8694406 1000000000000000000 742714725 300841641 498661432 256382414 1000000000000000000 926665967 702006202 680359936 40699524 1000000000000000000 732275940 487659445 293814038 587545230 1000000000000000000 433505549 222731383 390987872 145911989 1000000000000000000 633534283 469917558 420150587 529160583 1000000000000000000 856016118 735265966 514112645 574536199 1000000000000000000 468777772 98808452 223390277 199507204 1000000000000000000 553407039 274359754 343112281 137100483 1000000000000000000 676690716 105029247 503595754 172638004 1000000000000000000 507440792 340001033 236849955 181014380 1000000000000000000 332284550 175573758 104148708 32176361 1000000000000000000 818236119 237976127 737863140 503031196 1000000000000000000 864117274 37443378 831082428 773970442 1000000000000000000 827526200 282635134 758946554 347445794 1000000000000000000 895805833 274151665 692413442 589887928 1000000000000000000 580760809 290159842 318161977 344584695 1000000000000000000 547645273 413837702 421713742 317103598 1000000000000000000 595285943 310484037 527699962 573614288 1000000000000000000 695901136 558781125 472897216 90828568 1000000000000000000 128582094 34212889 64891350 84141063 1000000000000000000 631453334 374238624 194195810 525926931 1000000000000000000 911988313 254723210 657647284 49570911 1000000000000000000 884310729 540692805 870947467 131701025 1000000000000000000 824520777 556879074 258525600 494183729 1000000000000000000 330445502 158951873 111154419 96933934 1000000000000000000 321127653 208932919 175623314 236187369 1000000000000000000 369233671 290940440 3339074 254778141 1000000000000000000 594020011 352995645 112294683 99990906 1000000000000000000 461975027 191104896 40757190 236010672 1000000000000000000 95706348 75319580 15682039 63192976 1000000000000000000 52640054 20726303 38782893 8957960 1000000000000000000 506756808 468539869 143816483 119966692 1000000000000000000 79660865 37313248 6256408 58667450 1000000000000000000 255680218 95770429 65259448 209874462 1000000000000000000 803348790 315324452 553154752 393885656 1000000000000000000 601845863 208100582 99671384 557085558 1000000000000000000 918960362 138645888 45029053 916731572 1000000000000000000 39187119 26624277 36500510 21473195 1000000000000000000 199536790 73429271 90688627 16053835 1000000000000000000 568561450 261472848 228542648 261593417 1000000000000000000 805770141 568946712 409193465 795265007 1000000000000000000 608298302 191244614 209486633 238705685 1000000000000000000 589088191 354652163 467649539 49824587 1000000000000000000 555553508 369189005 499791281 243333210 1000000000000000000 24584147 7390469 4670099 22397215 1000000000000000000 112557007 70408259 31240177 35428095 1000000000000000000 843772502 93902356 231701069 158901187 1000000000000000000 677584094 366769528 613381266 455412472 1000000000000000000 447304540 115390480 291121511 356725524 1000000000000000000 215758011 201825462 105210798 97901792 1000000000000000000 727297435 509071493 100289646 358332417 1000000000000000000 828081876 250266109 169975462 752689331 1000000000000000000 906380337 577432111 448130134 768697603 1000000000000000000 256155583 9159809 142659399 137155757 1000000000000000000 25776428 13841724 7336048 20373193 1000000000000000000 896795033 674364254 238149040 370658948 1000000000000000000 293350640 129622295 199399854 245726679 1000000000000000000 716796698 576027399 333951183 423202967 1000000000000000000 998170909 675876183 201468045 768653287 1000000000000000000 898275570 481305951 595966416 705138510 1000000000000000000 290752877 6033650 104808129 97981790 1000000000000000000 345428774 198081974 21358270 215354184 1000000000000000000 99231996 27617323 48186530 60832281 1000000000000000000 505462040 254826283 70807358 152109861 1000000000000000000 53906481 9680402 46287616 27147681 1000000000000000000 992896051 14210689 984377020 446221763 1000000000000000000 691134031 283545869 165294647 416748044 1000000000000000000 45376019 1090272 42968106 19993430 1000000000000000000 943554337 495229674 533275793 456014828 1000000000000000000 216208598 215264032 147948843 79077330 1000000000000000000 890003319 850058436 554931721 694220725 1000000000000000000 192338932 47776222 117171902 187493495 1000000000000000000 589989561 382024467 581299660 412155817 1000000000000000000 595852593 279546709 281843436 92855340 1000000000000000000 980876581 220745429 606945902 249556382 1000000000000000000 984631061 529873128 691350213 142153321 1000000000000000000 599676657 387581938 80903139 65484823 1000000000000000000 196837770 131959376 134946610 167777354 1000000000000000000 101978807 11724047 31625319 101065122 1000000000000000000 781609175 637899569 183457398 186445348 1000000000000000000 741158980 1847891 373874115 501066553 1000000000000000000 138972764 22795615 134616556 122028352 1000000000000000000 271482007 211789899 133114223 91416108 1000000000000000000 314704798 13336575 70525826 60713652 1000000000000000000 715482205 702400420 636175040 249411516 1000000000000000000 476302721 161519505 448936788 353117669 1000000000000000000 419616933 111722038 225113678 345461331 1000000000000000000 417684057 325171716 181804159 389612039 1000000000000000000 689196650 438489577 91235591 333157683 1000000000000000000 805232289 682593360 128273891 525167082 1000000000000000000 866689051 812320631 97040908 66185213 1000000000000000000 691088420 541460530 153550077 640326549 1000000000000000000 71463337 62210674 65608535 47242045 1000000000000000000 115337739 102556481 6440628 78083048 1000000000000000000 542481054 193286227 138594559 69672455 1000000000000000000 110538098 66527246 50037628 77436124 1000000000000000000 93234498 28031367 59926369 84610995 1000000000000000000 917601468 870645688 3793287 190097780 1000000000000000000 453431647 389419605 415282626 334531164 1000000000000000000 915578003 86614302 308446711 877852809 1000000000000000000 335570528 259689029 40829364 6149302 1000000000000000000 681808758 408725188 318077525 200580271 1000000000000000000 95278227 38198527 36739578 13635064 1000000000000000000 766652520 31305317 571543331 22411721 1000000000000000000 302126330 96207195 19346118 175317893 1000000000000000000 309271948 288201750 159605629 214032976 1000000000000000000 355346777 67020641 190761969 211160439 1000000000000000000 213847712 168599607 81313203 154794820 1000000000000000000 91120433 65648538 44755304 14271406 1000000000000000000 836569007 635973925 132542271 683480879 1000000000000000000 334619499 174351297 139001927 49630604 1000000000000000000 237747022 128474862 231195621 134424278 1000000000000000000 875327936 38918815 219372851 515578146 1000000000000000000 80539585 49658972 22851323 27200123 1000000000000000000 649887580 405664908 205627664 556623252 1000000000000000000 982074294 905993423 585719512 891597874 1000000000000000000 309338413 242580020 255605673 74480045 1000000000000000000 178973867 150166487 60964349 161110622 1000000000000000000 470930476 29868305 320307808 319632734 1000000000000000000 538280819 3638838 401326091 387548780 1000000000000000000 530563536 294699139 366679541 290922119 1000000000000000000 185111668 133975002 170441215 125522412 1000000000000000000 272223887 102638451 44102526 249435424 1000000000000000000 79693396 62962589 32667066 77224659 1000000000000000000 469754216 358194959 435115014 66115031 1000000000000000000 663803045 495114028 26255689 663746434 1000000000000000000 948261106 709682399 766493424 254043230 1000000000000000000 879001319 135596476 273995040 2554207 1000000000000000000 62133518 16584206 44306655 57074449 1000000000000000000 617120309 452056749 437491305 436754124 1000000000000000000 641701058 618928011 318925354 460918081 1000000000000000000 910382612 77191889 150020831 769880296 1000000000000000000 977207129 172445681 239652486 145392223 1000000000000000000 477037322 200871483 214058862 122527696 1000000000000000000 598964792 399000935 541060653 589231050 1000000000000000000 550086607 36504649 232228371 4160528 1000000000000000000 10498702 10299555 7344557 1806613 1000000000000000000 910891424 146012183 588505355 383825041 1000000000000000000 80772948 35884965 23151334 29651879 1000000000000000000 196342680 29757016 138298630 188344784 1000000000000000000 787340026 340794738 76927629 113015201 1000000000000000000 459469091 170663430 321320706 254164966 1000000000000000000 856296058 607450551 500290382 133807168 1000000000000000000 39530341 3132827 27255654 9470557 1000000000000000000 274685048 36337062 117862224 74770490 1000000000000000000 875956114 256398325 366269476 774231716 1000000000000000000 315426904 300451374 239313358 164653872 1000000000000000000 39215399 8412896 30261731 3745406 1000000000000000000 126962211 84246050 54825115 99404224 1000000000000000000 409429617 393054891 249717216 369572088 1000000000000000000 956975655 452159946 915791183 70583320 1000000000000000000 508659859 507989539 9770652 261391510 1000000000000000000 944851993 850520132 279536811 857766537 1000000000000000000 724443488 576437686 443222699 449684615 1000000000000000000 6773816 2200659 5033446 5520800 1000000000000000000 148068843 120394036 14952018 29946214 1000000000000000000 341349275 73039421 312923248 214471336 1000000000000000000 493761834 440940102 39322179 37274881 1000000000000000000 576491378 27460848 248188497 340810598 1000000000000000000 613112760 205786763 65922057 47480672 1000000000000000000 478617263 222936877 404512836 253504716 1000000000000000000 680058208 197306582 495624681 92401925 1000000000000000000 180013640 12848155 85071688 43548999 1000000000000000000 43973246 32432773 20704528 14076356 1000000000000000000 336523760 123515120 218961426 235856325 1000000000000000000 871529400 525943486 566689544 691601113 1000000000000000000 42598905 631383 34185961 38332542 1000000000000000000 635501724 634343798 608774604 594766281 1000000000000000000 813409400 734052213 805403046 643632223 1000000000000000000 434949848 305796361 113360240 116422906 1000000000000000000 721516211 273534702 631076680 34217881 1000000000000000000 89753884 62670465 20137057 40716457 1000000000000000000 97078477 34052880 41988659 61252507 1000000000000000000 531940016 316714727 87049916 411752530 1000000000000000000 18508604 14448979 601727 13721441 1000000000000000000 428177569 32760210 3529534 29659254 1000000000000000000 987367204 745294229 847571800 771948395 1000000000000000000 290542310 156140775 136652981 35284169 1000000000000000000 100313063 96604227 51307124 6862515 1000000000000000000 681929217 104421114 681726084 347363137 1000000000000000000 434360209 312685616 321946698 169824872 1000000000000000000 844892988 142801659 524720545 642364146 1000000000000000000 484383825 225704893 111204424 292325349 1000000000000000000 387157352 312796556 273140306 302997810 1000000000000000000 889512859 830180585 465587301 651686782 1000000000000000000 861484496 267136697 377698955 715027082 1000000000000000000 793718753 537703585 687993921 121562737 1000000000000000000 914036992 49417871 314264016 476434992 1000000000000000000 221963490 208739200 118047029 110311528 1000000000000000000 255244592 20536746 78189663 148488777 1000000000000000000 855972949 511649904 214256245 592164632 1000000000000000000 963689542 401386702 201348841 778839707 1000000000000000000 141109430 14749302 134197454 115037629 1000000000000000000 743449580 400490650 263659490 612748673 1000000000000000000 347428608 323463523 110565955 205017029 1000000000000000000 134999159 94710282 108870038 119111826 1000000000000000000 643063295 341031980 473640670 376845096 1000000000000000000 152635428 14729325 152605143 109705180 1000000000000000000 83646788 65543837 13387641 19967023 1000000000000000000 8856269 567459 1782716 1247599 1000000000000000000 760997758 546201849 714544813 122874413 1000000000000000000 727066072 462275303 569448698 547140264 1000000000000000000 149942715 88909992 42520198 106939573 1000000000000000000 310792297 270542381 134480677 200926863 1000000000000000000 59482041 15106962 21396825 42327192 1000000000000000000 697738997 82734030 457365320 258062816 1000000000000000000 523949317 128390903 318942928 459866547 1000000000000000000 117907043 1062691 34464414 47667628 1000000000000000000 16692100 14570524 8015796 9565532 1000000000000000000 181685529 62449697 151867603 78351462 1000000000000000000 991812650 426794949 67214379 902715392 1000000000000000000 470155448 329734430 101688474 290464127 1000000000000000000 764120647 523804717 562534410 140858175 1000000000000000000 976120623 227342666 881576935 4765554 1000000000000000000 842948118 408937164 509938320 177891189 1000000000000000000 879828035 545171944 672848299 491706212 1000000000000000000 100652754 5399659 91022518 71526850 1000000000000000000 954281189 839193636 122527823 733123158 1000000000000000000 749279875 47307013 496499838 365697820 1000000000000000000 450311439 408553316 441994342 387027906 1000000000000000000 307976925 14226943 286464514 87694200 1000000000000000000 100866198 53904222 49196172 86403977 1000000000000000000 692732804 510411684 185630563 11460043 1000000000000000000 670497795 83279998 199342487 393676683 1000000000000000000 989772086 897281917 611566220 457999000 1000000000000000000 31297871 20185080 12304114 8375050 1000000000000000000 741042778 701777589 372150887 124180577 1000000000000000000 921673568 23514953 879828098 202492839 1000000000000000000 597131934 413502999 451114891 297739979 1000000000000000000 564897426 56057276 290408906 116007526 1000000000000000000 860144756 801497248 277447335 579818248 1000000000000000000 887073423 521624809 552735498 85579971 1000000000000000000 560272422 417323147 257649981 378660460 1000000000000000000 661058427 139829600 653229799 247605286 1000000000000000000 495029287 452661883 345159811 478823673 1000000000000000000 181452920 26069531 50459519 123551526 1000000000000000000 621443377 325763254 547077336 290526299 1000000000000000000 838502209 583856590 247245651 417574162 1000000000000000000 882012819 295355606 686484673 375042009 1000000000000000000 816853134 793879490 233407564 469663780 1000000000000000000 501027427 271853784 382168538 145367234 1000000000000000000 286268448 74949857 14328787 176645167 1000000000000000000 983377440 664422821 78988150 869908256 1000000000000000000 798561513 189175101 431307539 334181807 1000000000000000000 360727026 317669165 302106253 54697705 1000000000000000000 353521100 137327709 13033347 41796051 1000000000000000000 98850070 13929642 80815614 92457435 1000000000000000000 30399144 18915833 21108867 29863550 1000000000000000000 66280583 61553277 26212044 9414413 1000000000000000000 907554662 327298148 733811733 389110343 1000000000000000000 5157101 4642147 2168511 3503145 1000000000000000000 552579590 9856327 184442478 35501266 1000000000000000000 5171724 2384841 2875645 4266848 1000000000000000000 685825915 681886970 447801038 276515409 1000000000000000000 944860332 766477350 221342460 903783066 1000000000000000000 220138371 127413122 113836569 165618503 1000000000000000000 69555439 56681900 1621057 57702545 1000000000000000000 948757519 623868997 478311648 390798254 1000000000000000000 662482466 650355830 437649306 487882191 1000000000000000000 241642851 57473212 17473178 100277740 1000000000000000000 563045151 124300920 507866378 315769600 1000000000000000000 780638136 298000415 305323082 726604233 1000000000000000000 784076513 492763201 151057291 658072325 1000000000000000000 675141540 399270125 472692270 142556224 1000000000000000000 86898097 78542958 9299791 59985818 1000000000000000000 355764161 341082087 301286189 288776574 1000000000000000000 797069145 705736504 384922881 284976128 1000000000000000000 757640312 397235820 238007923 4329546 1000000000000000000 650978303 473606931 520634436 261095978 1000000000000000000 837599205 490938511 353931269 456728383 1000000000000000000 519646904 114774606 31102584 203222889 1000000000000000000 918722200 279107773 563040989 23815783 1000000000000000000 238954378 148353620 95839781 152270971 1000000000000000000 704634952 506625147 411474570 534038154 1000000000000000000 633578120 265260063 532608996 450037664 1000000000000000000 757870974 678738906 5866336 678388296 1000000000000000000 440277173 31138914 426195365 229441149 1000000000000000000 304086376 116946 60707065 143925552 1000000000000000000 399711643 7311946 299840811 385337876 1000000000000000000 452168622 389735487 347644034 43737950 1000000000000000000 209356744 21198463 47764539 111617491 1000000000000000000 979454654 81799452 637332550 210134790 1000000000000000000 435433275 204711126 287190446 243076596 1000000000000000000 125994580 84635592 100078112 98406048 1000000000000000000 827010761 461165616 159911049 246879110 1000000000000000000 849366607 344125423 754872653 764984488 1000000000000000000 459457575 454578443 56181642 411975120 1000000000000000000 662997627 208457115 511008795 13511001 1000000000000000000 332704502 195034215 65573682 226849177 1000000000000000000 142657701 109385716 111139995 121693348 1000000000000000000 575115875 69206915 248610157 575080537 1000000000000000000 953838683 684754149 470413344 496420172 1000000000000000000 846470879 606690475 304222805 342709817 1000000000000000000 212552442 90964560 205289719 189040720 1000000000000000000 416078308 315696733 328419507 76316649 1000000000000000000 317357807 150515790 276776913 252633095 1000000000000000000 107852358 94192767 96969601 90699706 1000000000000000000 880072145 644715725 743469553 265062758 1000000000000000000 495885142 274147837 346493941 298159418 1000000000000000000 645052026 106824601 355049326 529590409 1000000000000000000 923849035 700385730 275673647 459477758 1000000000000000000 263294144 196672207 19778389 258438025 1000000000000000000 592353949 497183013 118556992 239762878 1000000000000000000 225449396 181426597 38085959 142832138 1000000000000000000 7808440 6897405 134393 3971458 1000000000000000000 670393937 222788118 258178306 53786799 1000000000000000000 470220308 229194650 171036977 318299408 1000000000000000000 388633218 27484068 195488579 5129231 1000000000000000000 811418717 782404677 682366806 131937437 1000000000000000000 491803529 164639987 470433360 295203019 1000000000000000000 746101053 381128767 723340101 453591070 1000000000000000000 976761447 862104099 779133615 713234256 1000000000000000000 999711220 857905008 539065096 64982901 1000000000000000000 504216365 303160832 245000384 229210494 1000000000000000000 754048148 652983623 313641967 175620381 1000000000000000000 839880967 289817240 580600450 711811433 1000000000000000000 676228194 141890350 470834154 112195088 1000000000000000000 974513131 392738255 92127989 763293778 1000000000000000000 367606525 168623702 275643395 74787399 1000000000000000000 423181490 69033658 246419457 221559021 1000000000000000000 246317827 19489131 84386747 32050392 1000000000000000000 731698519 260311992 309858015 548340516 1000000000000000000 236775315 26790167 225520564 109469235 1000000000000000000 246822105 81597376 214487275 183778007 1000000000000000000 237217130 37798410 113921109 197992103 1000000000000000000 917935390 669020658 371394922 548217713 1000000000000000000 525962676 502020036 50081073 325345409 1000000000000000000 342773225 51263309 212420522 312662866 1000000000000000000 480620989 282316884 467471562 276176280 1000000000000000000 819283980 537590597 612010930 704187505 1000000000000000000 172812714 40057558 154687715 36780557 1000000000000000000 653884304 1942201 345270205 179773544 1000000000000000000 961319109 813258853 960571682 543302886 1000000000000000000 119223454 31275503 33108583 118920363 1000000000000000000 16893795 15949318 2926889 9363522 1000000000000000000 146394008 75408536 84286077 53735129 1000000000000000000 401434304 376366836 63567149 108494266 1000000000000000000 231878515 149361844 195829502 207201403 1000000000000000000 779474487 444043794 756645232 640356822 1000000000000000000 583749476 283350358 233585875 530265789 1000000000000000000 235087485 95383778 145400369 150136031 1000000000000000000 821882779 274502219 542710185 643943128 1000000000000000000 293927438 213150999 38058080 221168825 1000000000000000000 87768525 25019083 51682558 3010943 1000000000000000000 275764384 187584084 121095937 86133323 1000000000000000000 935060075 138065923 678392550 339894777 1000000000000000000 809765677 488103798 722012578 549074075 1000000000000000000 509979278 210130323 473653084 482661417 1000000000000000000 231321365 112291194 31240778 76729932 1000000000000000000 278792279 469202 272745286 247286744 1000000000000000000 674303724 56342743 534160059 567324081 1000000000000000000 465007900 73890979 155971291 374735074 1000000000000000000 852871233 845472891 590698069 622338845 1000000000000000000 564468067 392860303 113004681 16554252 1000000000000000000 916576641 274288460 396529441 593415791 1000000000000000000 154817620 152471008 87933438 19863685 1000000000000000000 429494125 260222315 50955073 339419302 1000000000000000000 399486873 399422779 348898689 276013363 1000000000000000000 940670091 389493511 385387260 225296222 1000000000000000000 602928189 107774292 405154144 390533322 1000000000000000000 424591782 392573151 387727767 78331557 1000000000000000000 220539633 145380065 50255414 161769545 1000000000000000000 357453926 273907158 167960236 332567080 1000000000000000000 812208838 69508752 805589670 146791152 1000000000000000000 409217910 403804855 105504067 267308766 1000000000000000000 586378787 240523625 114682065 122781818 1000000000000000000 788122528 313786913 329519777 767275670 1000000000000000000 264700558 125337264 51910762 83985592 1000000000000000000 70578814 15076127 30986371 37201533 1000000000000000000 299293000 166922979 255161390 193820297 1000000000000000000 684023863 504407206 464728616 599951410 1000000000000000000 287668152 156512032 15498383 170320730 1000000000000000000 203440692 196475025 133240810 134419512 1000000000000000000 794546517 590776968 405006927 380744074 1000000000000000000 894048460 805129372 584458824 816804593 1000000000000000000 445910183 375946608 44174789 112571701 1000000000000000000 604265391 295961674 582016581 538085153 1000000000000000000 621422326 182422097 620025012 85283718 1000000000000000000 701272128 610399502 231453544 464782067 1000000000000000000 481757903 39954811 69394529 157334114 1000000000000000000 440713433 175730493 67920793 291157436 1000000000000000000 675561185 226612932 517365808 362481678 1000000000000000000 939919476 696129429 245058164 906882252 1000000000000000000 34989758 34920863 15423544 27361633 1000000000000000000 492874624 123238148 282070617 319499361 1000000000000000000 2622977 1723531 2376851 121536 1000000000000000000 750410299 32514522 256704238 376160322 1000000000000000000 535841722 137004476 301920590 83989957 1000000000000000000 408406210 337397047 193304007 73119571 1000000000000000000 513787008 182055028 81334367 195234997 1000000000000000000 340826278 126826491 163723043 228664032 1000000000000000000 4706044 258130 3616160 131632 1000000000000000000 995891043 881899657 286129769 591289932 1000000000000000000 20506953 18896701 14099698 17880126 1000000000000000000 80661833 2394696 23183631 44507664 1000000000000000000 647563314 297461537 204558739 328111467 1000000000000000000 51317423 47784853 6477039 34837963 1000000000000000000 649991857 336594572 469246085 144553998 1000000000000000000 510105358 98802601 263333862 81212631 1000000000000000000 354922922 90358257 330377424 215307256 1000000000000000000 916136907 667072423 459385580 428276141 1000000000000000000 417696723 336825211 313183288 79143106 1000000000000000000 275786572 250347188 148241598 272553424 1000000000000000000 845926486 810415644 250738551 29339206 1000000000000000000 258397738 132760660 114367669 185573443 1000000000000000000 483157827 329834820 285866790 355655216 1000000000000000000 5627731 5606637 1535723 2474205 1000000000000000000 105855623 932366 45245495 97624812 1000000000000000000 727307838 503013548 108543440 84061968 1000000000000000000 524185357 8666905 377236886 482704275 1000000000000000000 588177481 318226267 267938281 57321279 1000000000000000000 210150957 188161636 149746299 148405733 1000000000000000000 889919153 42666824 159715847 159358847 1000000000000000000 815204933 783859621 121884180 561285284 1000000000000000000 303771336 81446647 25656597 166758471 1000000000000000000 933228733 684863734 867685645 50153405 1000000000000000000 630952166 263160151 402341125 372630258 1000000000000000000 432675167 247902068 122383807 119197863 1000000000000000000 90482985 42856861 29782363 48106874 1000000000000000000 738083332 597443652 684015650 389104128 1000000000000000000 883590743 259065897 764750674 851828038 1000000000000000000 619097131 498273721 228355712 543764926 1000000000000000000 344839436 195789888 304626999 313480234 1000000000000000000 168218799 73491709 17445959 161950946 1000000000000000000 257056054 81778865 65493394 228068919 1000000000000000000 166429149 96594281 103893847 128063199 1000000000000000000 708048021 358734166 604089058 4572282 1000000000000000000 315426264 220464932 173456286 219373189 1000000000000000000 145497144 47895278 128942137 94154567 1000000000000000000 472649600 149267480 100920830 283589744 1000000000000000000 294395265 183248780 46229445 100754034 1000000000000000000 15858552 8162382 15074133 7485715 1000000000000000000 89151628 28602873 33461302 64020125 1000000000000000000 150315926 28889855 100072762 17930995 1000000000000000000 838684506 541297889 90133271 667976960 1000000000000000000 553887548 170094751 300689251 72388546 1000000000000000000 436953837 412889186 435570788 92537443 1000000000000000000 128402444 112384776 10611172 114450268 1000000000000000000 565957935 133195967 265392880 220971865 1000000000000000000 930535681 411068898 184420169 125773506 1000000000000000000 705248707 679129288 596956582 87677229 1000000000000000000 892888950 113854694 7070680 517515971 1000000000000000000 405177521 217877914 253516076 1226090 1000000000000000000 107509930 57802724 961721 46300719 1000000000000000000 963789959 154352656 810028164 355502807 1000000000000000000 477577844 332046823 335367614 321697960 1000000000000000000 405976254 356392138 259658494 233858011 1000000000000000000 716857957 40592594 484692481 498277370 1000000000000000000 914664009 224381763 118468077 622614991 1000000000000000000 224794236 33524375 220716749 65631728 1000000000000000000 583465494 344253887 202147923 143352429 1000000000000000000 499884469 492382179 332840448 64528818 1000000000000000000 421940313 199644621 230044793 122373502 1000000000000000000 150215623 105711225 122733618 35684953 1000000000000000000 272754669 145864038 17439775 194420434 1000000000000000000 124412451 7271000 8917436 47001018 1000000000000000000 499803886 161978439 433943283 441316944 1000000000000000000 868192467 715298870 428934458 74081436 1000000000000000000 106475065 1974193 13998671 54553596 1000000000000000000 663988164 553261205 614254913 41461126 1000000000000000000 833809479 15506546 453523844 443696596 1000000000000000000 44752507 9899231 5748785 38429034 1000000000000000000 469313067 207865017 156418730 78446879 1000000000000000000 213336088 77731918 158830523 20380110 1000000000000000000 990814116 612095200 154432678 201564621 1000000000000000000 345690204 324356583 246008667 90500424 1000000000000000000 137661244 40499785 11103757 122799135 1000000000000000000 444168147 421945931 81466304 271353225 1000000000000000000 42685833 22866997 15945603 3349751 1000000000000000000 639878767 362576274 595825083 81823910 1000000000000000000 124885073 70579468 101367059 64021461 1000000000000000000 254977920 138671916 207224394 197067099 1000000000000000000 967035371 411912915 660050723 293330081 1000000000000000000 666666442 662607514 404135330 80689968 1000000000000000000 323513590 300893926 134376801 300041342 1000000000000000000 857897123 514872276 697911688 329281162 1000000000000000000 178431513 127384208 55003014 124441718 1000000000000000000 589627584 422240330 162336168 136785021 1000000000000000000 442024942 112860858 131127873 5191510 1000000000000000000 238582272 1165933 46441305 70010503 1000000000000000000 682045676 296496339 4159724 574256125 1000000000000000000 967251021 725396543 931379045 194686699 1000000000000000000 37770513 10484464 35035960 4441669 1000000000000000000 543922211 218580329 378092002 313438567 1000000000000000000 633421313 260474518 190920356 34863454 1000000000000000000 342836740 138181713 258404369 115856817 1000000000000000000 178956864 59397410 143565151 104637835 1000000000000000000 461165952 432646057 275816738 82514426 1000000000000000000 497099092 249704873 135006882 144420072 1000000000000000000 949569866 109894661 407806747 313264026 1000000000000000000 284318122 60224547 205061494 136682992 1000000000000000000 861036288 450153642 15468448 692258403 1000000000000000000 755987839 519689195 697610990 659548316 1000000000000000000 100417395 54396864 31223882 2585416 1000000000000000000 497552203 369781819 288452002 389075633 1000000000000000000 639953767 193244230 192406463 638320225 1000000000000000000 862398214 209317577 547532078 681191244 1000000000000000000 141919873 20378547 83503409 133914586 1000000000000000000 377484429 221068782 219918771 260075606 1000000000000000000 421063069 261558337 165360411 366335602 1000000000000000000 188539812 19374575 32564221 149348913 1000000000000000000 287753802 61080796 57288776 210703892 1000000000000000000 977530664 357502619 140174748 960185235 1000000000000000000 886306624 805740820 210561824 175116343 1000000000000000000 669943990 101553382 127547192 570542879 1000000000000000000 290128157 288569823 125163364 23112856 1000000000000000000 666875350 448458507 219615184 354792601 1000000000000000000 448086515 283224555 402751399 119686734 1000000000000000000 42532105 29240262 4158699 22799904 1000000000000000000 424590505 257237768 318165013 7138696 1000000000000000000 776289960 225520160 611202740 757485546 1000000000000000000 227483445 25889611 125891597 115828085 1000000000000000000 2805663 2203401 1388795 774338 1000000000000000000 646286801 185315916 153336774 18421618 1000000000000000000 634422685 547562204 496026370 222659769 1000000000000000000 217470292 202477888 142580941 136355535 1000000000000000000 612140213 135617588 117578715 559603471 1000000000000000000 487320311 93530782 339231926 326253259 1000000000000000000 727943205 448321893 580035853 349817965 1000000000000000000 798127712 680271436 726218787 551391568 1000000000000000000 715725776 692447287 127879770 324034820 1000000000000000000 188633289 48300043 151965351 42300538 1000000000000000000 903251678 772999802 688042894 461359487 1000000000000000000 882167956 48491203 346181367 624227231 1000000000000000000 177921488 134237436 153440258 109407233 1000000000000000000 846083604 513729744 427839064 249083652 1000000000000000000 980426091 546471122 376523897 2070535 1000000000000000000 433488868 312246529 30635246 226257144 1000000000000000000 785260466 30363750 671158309 693561993 1000000000000000000 220435654 194279063 105279874 175961866 1000000000000000000 406188473 361508983 133331029 402715450 1000000000000000000 494988635 336620087 352636714 253286420 1000000000000000000 427963315 136489438 217825094 57045856 1000000000000000000 427121993 33087783 289783859 421267473 1000000000000000000 723225488 317710571 49875236 175520242 1000000000000000000 127316301 54025216 26870264 85702616 1000000000000000000 580234052 95568212 234968005 181669157 1000000000000000000 541986934 417751301 432913907 61408911 1000000000000000000 774431208 657680034 73257900 374638715 1000000000000000000 435777555 198939231 224412217 402651848 1000000000000000000 762395360 582979384 323824694 146050366 1000000000000000000 480944158 19126004 324309637 105357983 1000000000000000000 545337077 451845061 535099566 67210819 1000000000000000000 690590839 487369849 351438220 79058766 1000000000000000000 600177591 9906504 294474633 318432670 1000000000000000000 268750778 160082761 150059765 33190467 1000000000000000000 458171487 164138039 115849253 416449755 1000000000000000000 299153152 249372932 250647475 162885847 1000000000000000000 512901405 12496567 270685045 426269692 1000000000000000000 319430999 272337875 129845610 194353401 1000000000000000000 728616058 345476761 425722733 666896002 1000000000000000000 142206636 5850286 77182992 22525146 1000000000000000000 49141161 2898834 1920680 44075627 1000000000000000000 838669796 668020369 485812379 739044394 1000000000000000000 987529613 450786167 731485984 390002619 1000000000000000000 239396725 16447948 57937 157343101 1000000000000000000 429541800 109276225 333478720 84798864 1000000000000000000 214282683 17557451 77493943 185900573 1000000000000000000 284752983 1684370 3390360 112692899 1000000000000000000 477814391 43508560 190054338 113683143 1000000000000000000 754740604 561416389 736362039 627935971 1000000000000000000 921096780 478463251 213849619 549438819 1000000000000000000 925944624 345116768 114005185 382913507 1000000000000000000 142221101 53823795 116456815 42749465 1000000000000000000 479264165 287039140 343573337 115102569 1000000000000000000 869418360 272501657 41300881 346360620 1000000000000000000 628427991 587519875 271994307 524719457 1000000000000000000 614226586 306157683 480253179 358335863 1000000000000000000 542035497 272057135 67376823 39897742 1000000000000000000 845104195 337811986 534792992 407804420 1000000000000000000 456338690 71668497 247831569 247011276 1000000000000000000 663757251 4860425 21264376 388877719 1000000000000000000 343661585 199701154 49750397 307827604 1000000000000000000 681602633 561044798 29840653 19910865 1000000000000000000 308383603 104773143 271296203 57979812 1000000000000000000 192769953 177011266 185937330 114700844 1000000000000000000 260985608 86412558 66216786 208164565 1000000000000000000 907545049 176424541 112848292 357777138 1000000000000000000 519362706 146285588 472167165 504029435 1000000000000000000 118291400 70227271 93210249 34145598 1000000000000000000 662057939 438085147 75186907 647857525 1000000000000000000 145633149 38654530 75176709 39943966 1000000000000000000 47005732 25409502 31223981 46236873 1000000000000000000 785850777 272373740 575029307 70233611 1000000000000000000 945950427 806099682 604513823 944143548 1000000000000000000 126591566 91046316 67537293 55144400 1000000000000000000 841589984 629000027 303646697 705782508 1000000000000000000 818907307 191758699 43861511 675040358 1000000000000000000 822427044 524691053 19259637 51839126 1000000000000000000 416622747 230806519 328149714 277445705 1000000000000000000 694904299 110794975 372132212 614603268 1000000000000000000 414573798 96813847 158018193 37226828 1000000000000000000 647458674 56833472 625260591 261239584 1000000000000000000 385109950 58471746 102589130 274504063 1000000000000000000 61124085 10822002 27960552 18948256 1000000000000000000 982108504 873967509 232539156 120609562 1000000000000000000 538201883 117229916 200800114 333208271 1000000000000000000 432857511 357177423 16003347 198336984 1000000000000000000 728445638 686712049 254064052 702038992 1000000000000000000 496551456 296134437 354289308 365016579 1000000000000000000 971511343 38130990 832105443 82854504 1000000000000000000 583328720 30792981 289102293 135006786 1000000000000000000 634006032 504877437 276037445 434390441 1000000000000000000 305345148 48448565 204093251 40198614 1000000000000000000 452636171 238716677 305098146 245820133 1000000000000000000 723458212 424016730 219039534 341908873 1000000000000000000 594333370 48047145 489203351 336284384 1000000000000000000 756703077 137292702 178285765 120869535 1000000000000000000 913792232 741470351 323302521 758827472 1000000000000000000 107442646 10821897 88016007 13858248 1000000000000000000 847165065 825661099 219663271 482014526 1000000000000000000 62441191 35616945 17174427 9209670 1000000000000000000 344939442 172420474 122999216 95731027 1000000000000000000 869844284 307177238 428180619 141319476 1000000000000000000 955812135 238751224 327219348 353908102 1000000000000000000 426392801 182229234 135762205 185672310 1000000000000000000 986464575 39949204 377759742 158043291 1000000000000000000 657051909 242934688 281574607 294148301 1000000000000000000 362646437 46120580 93955179 101129292 1000000000000000000 476939550 119121503 389386999 76666795 1000000000000000000 634723617 259834367 495847335 402517042 1000000000000000000 662197928 575636381 378002261 53845955 1000000000000000000 6986601 3896931 764521 6716587 1000000000000000000 143293018 82929241 84891441 80041919 1000000000000000000 217067664 127809439 79958407 195343757 1000000000000000000 744027913 125287031 183390053 436077139 1000000000000000000 675136790 35631038 657261262 291888397 1000000000000000000 505676857 211751610 249418854 79221549 1000000000000000000 162889590 136019883 22787576 154002038 1000000000000000000 157551065 132243884 154240251 103305226 1000000000000000000 224123556 73196914 57970896 150995277 1000000000000000000 161458046 71537464 7190603 29622549 1000000000000000000 653415001 154992596 499518856 316255579 1000000000000000000 904003334 666882578 387620601 203464765 1000000000000000000 502337271 214072533 439594448 172591162 1000000000000000000 625702396 199858787 348880020 74886809 1000000000000000000 628861681 411650939 267523977 605274273 1000000000000000000 589168123 225205062 415917578 449696951 1000000000000000000 313544146 257520731 16025520 178518134 1000000000000000000 667941337 64752030 317019622 420354095 1000000000000000000 808767567 251948218 477877366 303066435 1000000000000000000 516219737 84339052 447401063 485934380 1000000000000000000 161900036 119842639 79269280 18015281 1000000000000000000 323624542 151084513 197691491 296596087 1000000000000000000 829425608 90046601 434428893 751415631 1000000000000000000 671714312 176893733 434724914 457459283 1000000000000000000 190681157 34485151 68858445 96715043 1000000000000000000 46704520 4034653 450165 12913329 1000000000000000000 661633606 512130335 465562733 440275315 1000000000000000000 201575207 183426827 12658246 77512710 1000000000000000000 871015748 148589001 180163210 575333374 1000000000000000000 305232858 25726320 78733728 249141109 1000000000000000000 186748545 123621510 175660117 96933018 1000000000000000000 300507336 24148481 121047817 197591967 1000000000000000000 368298513 43610550 305242898 149976579 1000000000000000000 538087889 305485963 506487197 386792918 1000000000000000000 545516518 395809956 286766468 476451436 1000000000000000000 713931440 80399131 302172836 265757206 1000000000000000000 914921044 636296991 145887317 220306983 1000000000000000000 199222970 106003003 37731312 18055721 1000000000000000000 666235288 82169734 444207222 513298813 1000000000000000000 71064096 13416928 63861873 39925578 1000000000000000000 942236933 478121451 318032925 891022664 1000000000000000000 214440526 69082068 199222605 86069545 1000000000000000000 124402159 27197392 83639687 36054774 1000000000000000000 501145461 485652448 540173 322012878 1000000000000000000 330536915 51138190 221914396 211014894 1000000000000000000 3703232 883302 5985 2677495 1000000000000000000 662480366 597189314 436692865 179651565 1000000000000000000 275760726 252270248 256377201 81858218 1000000000000000000 816649357 723380331 529885239 348175743 1000000000000000000 554754555 9023963 187711660 281763501 1000000000000000000 964704933 550137269 575792104 743626271 1000000000000000000 843458026 459338648 664700749 150710564 1000000000000000000 261533745 125167039 128744860 129093338 1000000000000000000 13427428 3810587 3082503 7894245 1000000000000000000 416273200 65491641 84191517 265676744 1000000000000000000 195624102 96431974 93649301 82594398 1000000000000000000 32599878 28298984 18482841 22695528 1000000000000000000 311885542 270407672 50612332 240614913 1000000000000000000 21802847 114748 1878079 7759058 1000000000000000000 776704759 268569508 101256581 81131809 1000000000000000000 238592682 130194978 96928491 140356231 1000000000000000000 443729625 433798717 138500346 147634118 1000000000000000000 368698337 186184141 267226706 178228582 1000000000000000000 918929032 419637929 683532609 444239247 1000000000000000000 221054351 32232486 100089346 131749079 1000000000000000000 412415923 269339361 381342427 320387194 1000000000000000000 398541175 155304466 222399086 78215268 1000000000000000000 181116556 122094562 63135259 41986428 1000000000000000000 432010321 23987565 232194519 268212203 1000000000000000000 867737268 738349111 155093120 250258262 1000000000000000000 31844634 14856266 21537723 581394 1000000000000000000 381661088 125058445 77653679 139738271 1000000000000000000 109542187 13004991 85931131 31729914 1000000000000000000 654941938 543376469 494223000 11046293 1000000000000000000 934227857 599298063 149332243 246525907 1000000000000000000 795316321 225914415 619210415 60940799 1000000000000000000 366337968 6843386 19997444 272399272 1000000000000000000 536948345 167128956 37956912 276257293 1000000000000000000 451315209 350544788 415035235 249898500 1000000000000000000 825636383 217680633 536138385 226397954 1000000000000000000 816410234 308104333 653257388 343561499 1000000000000000000 792247273 616610003 401188758 18502658 1000000000000000000 680807625 549555326 572045397 207286782 1000000000000000000 155512049 53959240 85889543 8989969 1000000000000000000 220872311 92358142 43732432 215326076 1000000000000000000 227770883 132829613 107867278 207323629 1000000000000000000 93821746 1140232 86999448 64958289 1000000000000000000 650704828 557791879 100666425 485502397 1000000000000000000 91077126 20824959 56502055 53067831 1000000000000000000 738935731 18551978 711848168 295540052 1000000000000000000 461595523 440289565 190085089 230399603 1000000000000000000 698577150 390969229 81062332 110737465 1000000000000000000 248588382 195012100 202113127 72632860 1000000000000000000 93951983 80870785 19959420 8956221 1000000000000000000 269235840 90709139 236256672 93602467 1000000000000000000 553590111 11605365 500978274 508641994 1000000000000000000 436808351 279668816 363716623 39341059 1000000000000000000 794717477 411752061 131340087 357067033 1000000000000000000 870173523 452873362 41807158 547827200 1000000000000000000 63422948 11967936 16644030 6348510 1000000000000000000 202664066 65075037 14045584 19028605 1000000000000000000 348431227 75398531 183152615 348035082 1000000000000000000 527529025 131308166 389941070 471637796 1000000000000000000 50616414 26184418 8923318 5660552 1000000000000000000 782168485 779797787 394678546 724076981 1000000000000000000 917551804 567393355 557991310 700032067 1000000000000000000 523221010 507971334 327114482 493079063 1000000000000000000 163817134 106637569 28765397 112146301 1000000000000000000 636806603 364330599 480252662 369586481 1000000000000000000 87209854 65315832 70155941 61611824 1000000000000000000 499279919 210190665 314481026 467280917 1000000000000000000 295566597 184136946 215053185 199101382 1000000000000000000 682683115 68778536 513532302 55725481 1000000000000000000 848720408 641139184 827543998 73045583 1000000000000000000 656034365 195270426 30984734 595944759 1000000000000000000 916706780 164418605 643065893 286831383 1000000000000000000 764676990 390914502 718730541 716994867 1000000000000000000 609024743 230217471 341855809 514878001 1000000000000000000 768189744 194028052 417695563 613949894 1000000000000000000 324326724 168262814 192752792 238358984 1000000000000000000 848633107 36599220 648516635 62282907 1000000000000000000 388411158 35078303 145364471 255404495 1000000000000000000 229997487 47633677 114755900 157642341 1000000000000000000 256954077 189357183 210824064 112602501 1000000000000000000 710628477 679985853 411876580 336503377 1000000000000000000 384577573 217759255 202390550 257567097 1000000000000000000 4115767 2975991 3364600 1079127 1000000000000000000 773463918 575924535 340074240 280910705 1000000000000000000 947586878 716206443 665038699 76396531 1000000000000000000 785496800 696917772 487850178 530649789 1000000000000000000 382741411 295608837 158756495 292990738 1000000000000000000 785070468 656183999 596742073 380498889 1000000000000000000 311048254 247901885 109848000 165919851 1000000000000000000 428342146 136786024 43200450 9922985 1000000000000000000 175894748 133087631 79483299 80576262 1000000000000000000 749314718 361303532 173128291 92877529 1000000000000000000 56487824 4095113 41535132 21491391 1000000000000000000 908956374 121439577 280009677 478225635 1000000000000000000 266662027 59959146 233009393 129400780 1000000000000000000 456723224 301224831 449714900 352627322 1000000000000000000 32439397 26192183 22223144 507457 1000000000000000000 487054002 316944405 61570510 361943467 1000000000000000000 201149492 21004433 199108273 95641043 1000000000000000000 401202960 167801789 162122726 399452790 1000000000000000000 913008580 41480862 325415580 126179389 1000000000000000000 958635723 656968465 149334604 262554012 1000000000000000000 394917347 43983225 240824975 304750361 1000000000000000000 551451383 79642423 105788128 117023918 1000000000000000000 953370752 656875684 240283198 844896781 1000000000000000000 14090106 10828223 1671756 2364694 1000000000000000000 894406868 740579311 88507292 132653292 1000000000000000000 64362963 40241851 44401279 49842229 1000000000000000000 337376587 113790476 303240105 47934647 1000000000000000000 823226483 621176684 225705166 239131489 1000000000000000000 408485742 384395083 10449130 258065089 1000000000000000000 589927510 33131884 471127848 45709536 1000000000000000000 732146891 597893300 158789855 44615043 1000000000000000000 980700274 359966292 242006242 611271946 1000000000000000000 453920277 301488670 45040191 65729159 1000000000000000000 582896079 179896230 405355219 248371595 1000000000000000000 681117325 17619980 367099725 207710455 1000000000000000000 645666624 509502300 111911463 481395472 1000000000000000000 669244519 335647772 290701740 549041129 1000000000000000000 760625024 276458686 499792903 539087831 1000000000000000000 189628323 57505578 88810416 32376367 1000000000000000000 512415605 471835336 107649567 474817864 1000000000000000000 850114936 181749284 361869681 752805522 1000000000000000000 787052436 104359785 502190367 73751005 1000000000000000000 641425505 384654673 387483952 404556343 1000000000000000000 892840521 95145850 708645527 392358740 1000000000000000000 742996609 564866321 536341285 462490166 1000000000000000000 951439052 39163518 505667004 170193862 1000000000000000000 789427197 161443771 759711379 464265167 1000000000000000000 57577293 34502371 50258842 53282309 1000000000000000000 46002903 5719402 40968395 2403074 1000000000000000000 590977657 220643894 476492234 185931201 1000000000000000000 228383424 212651844 215989705 16315553 1000000000000000000 721045161 311921180 398712084 529858512 1000000000000000000 764793951 594108770 77160795 170210320 1000000000000000000 688879506 211703666 440797876 238651408 1000000000000000000 456134102 288367000 273414804 238623731 1000000000000000000 735466135 57758503 122101012 531659444 1000000000000000000 62101205 54259016 43431316 44819812 1000000000000000000 777599647 441112401 454876850 747942690 1000000000000000000 499377949 138336127 256953770 194766218 1000000000000000000 11180982 2312335 7506796 10261973 1000000000000000000 71571510 21760479 56758921 40272509 1000000000000000000 904986505 253128447 108783278 620847997 1000000000000000000 687384967 526686576 568849473 447713459 1000000000000000000 724091806 212043183 361659471 708924202 1000000000000000000 756519595 688506352 440379358 547467719 1000000000000000000 20668479 15034516 5050437 8660904 1000000000000000000 588648967 5750818 437992347 458285292 1000000000000000000 196416828 60256699 95625633 6220904 1000000000000000000 164093642 65258697 84270267 47342717 1000000000000000000 795934587 609516718 780075380 740861734 1000000000000000000 161956790 156352032 112807207 151326549 1000000000000000000 291587923 127115415 202502502 61654904 1000000000000000000 605847125 11000519 103916929 49174612 1000000000000000000 298334375 263410158 291870052 135510911 1000000000000000000 645888057 52807747 414323375 524670969 1000000000000000000 15051245 12537630 4610603 10477256 1000000000000000000 74882681 60082791 58921610 35233112 1000000000000000000 103175887 46944051 36507053 62781507 1000000000000000000 772947692 555426484 99207214 440505820 1000000000000000000 487359005 217963225 214535938 257794941 1000000000000000000 769271451 645600589 219992367 428050177 1000000000000000000 857104866 47787561 752979242 604028864 1000000000000000000 43849790 8981256 12021994 34115338 1000000000000000000 91096115 35890879 49937059 25175825 1000000000000000000 282279316 85287250 124543276 237181391 1000000000000000000 683765422 231511303 281750287 649731622 1000000000000000000 121513545 120147536 5389281 87441342 1000000000000000000 787722635 450603160 520692961 752561932 1000000000000000000 585433853 21570520 331637634 299901978 1000000000000000000 696882256 451952572 112487082 632717688 1000000000000000000 236361537 33728738 96265157 173581269 1000000000000000000 127465221 67191702 67124535 125143793 1000000000000000000 65733425 54911191 35839311 64946211 1000000000000000000 613441430 46092701 550264996 607637132 1000000000000000000 248392340 131445189 114818757 217396040 1000000000000000000 563548598 188343134 313753263 73987333 1000000000000000000 289447894 160340827 212325227 14438309 1000000000000000000 994574168 972570462 139064919 307083386 1000000000000000000 912099408 618179238 557516834 583207240 1000000000000000000 46230618 30795315 2799022 15277413 1000000000000000000 629995526 457869584 201203967 352584848 1000000000000000000 175406437 51564906 142828496 134133416 1000000000000000000 448622632 405681788 368550578 435427587 1000000000000000000 111653945 36661142 27292703 40100783 1000000000000000000 175395877 64789309 98856239 28782741 1000000000000000000 92527375 71649521 38560437 86568794 1000000000000000000 865235808 360523119 654408736 419428606 1000000000000000000 741483924 459701560 305949533 156170728 1000000000000000000 154504567 69987447 2613450 137709025 1000000000000000000 323884991 283315401 9120043 191008735 1000000000000000000 115724994 108805679 71852711 65360107 1000000000000000000 574444143 104000808 135044363 450015928 1000000000000000000 218314533 54784796 11170188 208520554 1000000000000000000 399415858 306231473 202798303 66963987 1000000000000000000 376970568 46889491 12107447 78121572 1000000000000000000 232230446 220724538 79656695 200438570 1000000000000000000 863744014 815752005 377789359 198696756 1000000000000000000 191379862 129432292 74723954 95184092 1000000000000000000 719404535 540045392 417494609 236844847 1000000000000000000 224338833 22036077 73369454 163020446 1000000000000000000 225755744 187533258 39303126 37001315 1000000000000000000 740854048 436274983 653436182 68518715 1000000000000000000 502932271 281027810 59681893 496877916 1000000000000000000 595858671 538831339 372410105 109526600 1000000000000000000 507827527 60903274 172131410 53142997 1000000000000000000 666588874 361007701 470620883 143924324 1000000000000000000 523698530 97111544 331387470 88802387 1000000000000000000 569970553 16229888 413935228 43049762 1000000000000000000 650577164 150460498 59565297 160743846 1000000000000000000 746057131 110577188 317656279 470325233 1000000000000000000 207628071 157728208 112233725 56107063 1000000000000000000 736983499 303678145 22591110 200667603 1000000000000000000 357148202 160168075 261955561 249315471 1000000000000000000 574729917 468078081 525688398 108757522 1000000000000000000 317597612 296783598 199057456 243800031 1000000000000000000 465727657 216980051 234727965 192159271 1000000000000000000 514747761 240764061 176446724 383296175 1000000000000000000 279043151 194159401 84833618 237850268 1000000000000000000 494810313 405144220 299216838 10243568 1000000000000000000 47080911 26138401 38605621 6062692 1000000000000000000 381308569 8909723 13444610 175624133 1000000000000000000 47028729 44410823 21729016 31076607 1000000000000000000 85307418 8617300 46570983 38094892 1000000000000000000 646605571 90570958 472771166 211482192 1000000000000000000 137302208 111186420 41062727 19558652 1000000000000000000 896752793 617347957 570445522 92378052 1000000000000000000 583862958 340896223 213646608 201462869 1000000000000000000 939626641 783523254 613808320 862909749 1000000000000000000 940412148 131206428 305405773 718303168 1000000000000000000 731305770 191857520 525195667 644286731 1000000000000000000 476411720 355365309 101866540 292609428 1000000000000000000 848685452 179350802 421351690 110581502 1000000000000000000 58885421 37539252 31187580 45312438 1000000000000000000 785349863 322071043 288826546 502880858 1000000000000000000 853610625 8481189 155960732 612755396 1000000000000000000 498795109 463091428 4087846 352544268 1000000000000000000 931186226 71852417 334860057 754270392 1000000000000000000 471614415 159079488 282236788 79338535 1000000000000000000 339903488 244430443 222364458 286707510 1000000000000000000 524593641 218692232 489319565 112404829 1000000000000000000 202606845 57058576 106256657 111650327 1000000000000000000 791390547 108030560 652728309 730219287 1000000000000000000 580079761 265467640 407063244 69634169 1000000000000000000 597844309 81134116 153770242 37089845 1000000000000000000 825374064 705550990 213343973 510828899 1000000000000000000 816236135 709389191 802879293 474164861 1000000000000000000 307005103 32316957 298163395 191386182 1000000000000000000 447207215 75973537 171806739 80334649 1000000000000000000 822897484 609246511 574690496 411479074 1000000000000000000 835401405 461613529 586450788 41636904 1000000000000000000 692048095 654177774 19111790 506458928 1000000000000000000 341931037 269343920 41865244 294727275 1000000000000000000 629300091 621685696 107807523 469721394 1000000000000000000 662809460 509723349 412937536 434323395 1000000000000000000 263936690 36794541 82021916 204637297 1000000000000000000 62934026 42796383 42621866 45292960 1000000000000000000 690676682 435865226 394839073 568949776 1000000000000000000 452394373 246978991 169385870 426172502 1000000000000000000 677739268 524239863 62378001 205358799 1000000000000000000 839395137 599039329 112486016 535979909 1000000000000000000 772654783 253824314 595029903 739570637 1000000000000000000 889178989 880664140 176977775 286039184 1000000000000000000 950554090 446507639 698080422 508650144 1000000000000000000 28206136 1283698 10527380 16833178 1000000000000000000 512059287 19245442 503991384 485032539 1000000000000000000 622198521 216440570 161673479 455627331 1000000000000000000 702551700 37147112 515792575 197393158 1000000000000000000 794182056 704381471 646111839 780380075 1000000000000000000 217667196 103752413 170427780 126967716 1000000000000000000 879917884 872088084 634862081 88361730 1000000000000000000 641546253 373286751 69758939 630329615 1000000000000000000 782020316 750843706 353676000 3541435 1000000000000000000 215982777 126950139 112177678 41977704 1000000000000000000 902350674 536321696 320014516 514944938 1000000000000000000 388017368 295596545 62606907 204162140 1000000000000000000 854423935 696909575 417323371 526158325 1000000000000000000 981463051 206082916 434726494 393141667 1000000000000000000 109290900 92502747 21006706 14483795 1000000000000000000 435990162 357918615 73826913 156985153 1000000000000000000 568203724 318638670 101860829 30566151 1000000000000000000 71258752 18423868 42372039 15850338 1000000000000000000 767772907 515267340 631452775 157589629 1000000000000000000 443758435 47699579 324516464 202112739 1000000000000000000 725039305 651916063 629704245 146402599 1000000000000000000 201598659 180744621 145518273 151934024 1000000000000000000 504792791 131816954 307072578 13990483 1000000000000000000 677022794 132414243 342062986 402825864 1000000000000000000 923118175 171433435 126101474 819015648 1000000000000000000 197707882 103596295 176806153 193169633 1000000000000000000 574729699 142258107 351744556 308105253 1000000000000000000 721348194 688768995 413844668 562337048 1000000000000000000 176006240 100404898 110947244 145413715 1000000000000000000 430663816 44540554 86874357 156922926 1000000000000000000 210719546 148060984 166767611 104634385 1000000000000000000 957364496 385606346 638654695 781034292 1000000000000000000 110432223 17031432 27186465 6266701 1000000000000000000 242884130 162797016 169752120 18328735 1000000000000000000 217239869 216313929 195591771 59856889 1000000000000000000 165547498 136725981 4233941 139221086 1000000000000000000 393548639 377162798 293709161 339507760 1000000000000000000 726128214 328827651 503299251 72283090 1000000000000000000 710574850 301707454 249150973 447555758 1000000000000000000 308055747 267378388 267762760 112913565 1000000000000000000 799630377 484888099 551214924 366608218 1000000000000000000 628504265 597611632 510623092 337643459 1000000000000000000 912970886 309084796 186785731 644465271 1000000000000000000 87426154 37922033 84705346 53854123 1000000000000000000 515379236 134542128 285736861 48785187 1000000000000000000 317320506 286996318 100163434 134478707 1000000000000000000 542755337 469785862 131932270 532105648 1000000000000000000 597160807 436806182 547390424 71531698 1000000000000000000 609194911 546656297 254738547 527359768 1000000000000000000 474253404 202100314 353300622 301221581 1000000000000000000 968060529 97226054 714155691 552061520 1000000000000000000 173682081 31070281 129609736 37187890 1000000000000000000 886852907 521479569 17653146 350153077 1000000000000000000 207800444 186251072 163397354 75406813 1000000000000000000 392695186 138264690 291388135 206181796 1000000000000000000 936062933 355905730 541528448 128312969 1000000000000000000 598557495 86608112 419978763 52831685 1000000000000000000 753428918 689558979 399857381 506291543 1000000000000000000 758698152 566299220 710690174 719364763 1000000000000000000 452157654 265614020 47817027 87915506 1000000000000000000 296256014 136480937 17477617 233843606 1000000000000000000 204517372 166433783 33077936 62885184 1000000000000000000 344650607 267824257 135417082 282116373 1000000000000000000 101002525 1209679 10077832 82067222 1000000000000000000 95312568 75479894 18086108 53173901 1000000000000000000 223434350 51161528 5419917 102765546 1000000000000000000 120390188 32474188 70928483 59682198 1000000000000000000 387697104 268004894 163187199 38226835 1000000000000000000 830128040 78390752 33840252 605815539 1000000000000000000 537067479 516696775 205587327 95556374 1000000000000000000 925958454 722279762 519735581 208036207 1000000000000000000 65406170 5773439 50459976 7022209 1000000000000000000 727515573 649656641 167378045 674229849 1000000000000000000 580684318 206931564 59578234 99467914 1000000000000000000 678344072 519159023 239875681 355683217 1000000000000000000 821648355 346892096 314870263 688686400 1000000000000000000 527006728 412873519 384114030 508372774 1000000000000000000 869967166 97559821 689153024 755050491 1000000000000000000 979017182 869948980 394229149 600602195 1000000000000000000 380966183 130804250 283985213 74525533 1000000000000000000 650025988 358968682 316489961 540020954 1000000000000000000 981772036 323566275 860087745 104744852 1000000000000000000 942505444 324159457 931712072 266578135 1000000000000000000 484474200 375517871 143934835 312445290 1000000000000000000 165537598 116132676 10987842 8420964 1000000000000000000 305961207 99206278 51900881 80909659 1000000000000000000 265218192 190383316 11075731 94158845 1000000000000000000 142869553 51188764 60599419 76488051 1000000000000000000 980182584 590313726 906364257 99424336 1000000000000000000 740422837 232985796 251566963 601061477 1000000000000000000 416136268 135633718 370203893 257723905 1000000000000000000 284056801 41302606 194089508 88946877 1000000000000000000 436694201 153399482 215925886 264972455 1000000000000000000 176490296 79383168 108487062 38454903 1000000000000000000 946926511 12281025 634053408 707567640 1000000000000000000 280091862 41244814 95569562 205666892 1000000000000000000 427523482 360218894 139936607 258765084 1000000000000000000 855350061 656540941 711089435 74031087 1000000000000000000 272396233 15657476 3198270 149615277 1000000000000000000 239310001 191190444 52941079 236210640 1000000000000000000 881494982 299988394 196884755 847870377 1000000000000000000 618048693 66726175 273170395 515024203 1000000000000000000 757034253 726964249 143695985 1724618 1000000000000000000 605462468 393189984 493237432 27177614 1000000000000000000 855495244 392857641 268197081 527682120 1000000000000000000 212306953 164668725 162297376 41095650 1000000000000000000 797279443 472873995 724154425 251188706 1000000000000000000 180990247 17529729 71581643 57642406 1000000000000000000 69911905 33880732 48137574 21725634 1000000000000000000 631604575 346817796 98979669 277081447 1000000000000000000 671746236 440477955 253273074 270622866 1000000000000000000 804302756 197109302 550753343 462837951 1000000000000000000 568319653 236711795 283555579 78903915 1000000000000000000 491746080 6774233 296212551 105455875 1000000000000000000 696589028 185929454 42220330 90903504 1000000000000000000 669491122 370391858 232746061 148897757 1000000000000000000 629372910 625266639 98404893 67650636 1000000000000000000 431202487 1580385 280894055 35524906 1000000000000000000 703509923 178111545 402747597 261745688 1000000000000000000 883620965 136360834 287069254 208772454 1000000000000000000 939914915 750306692 336164773 470946680 1000000000000000000 455707463 354301169 124448266 416824978 1000000000000000000 539612820 219478424 464988027 98814386 1000000000000000000 817440753 604610615 379076749 794479858 1000000000000000000 549704398 375292708 266641914 184727720 1000000000000000000 570595806 125355609 103278906 420059078 1000000000000000000 868029345 501331608 181652275 399018505 1000000000000000000 748244037 41760250 139267113 535846586 1000000000000000000 47863081 4727759 37975113 25582570 1000000000000000000 421100101 10056485 84718894 106277504 1000000000000000000 801392546 553033930 263993000 217057274 1000000000000000000 325035455 15159857 281614857 136434809 1000000000000000000 25076102 24750017 5057327 24711074 1000000000000000000 658275976 40628717 639618009 369514351 1000000000000000000 656213231 468253644 406327192 34607594 1000000000000000000 296962415 37682431 1326816 196688509 1000000000000000000 677887426 547968616 523697154 310345347 1000000000000000000 275935289 10813239 213804029 179854712 1000000000000000000 401432473 73239669 300192377 279324095 1000000000000000000 544836420 522172904 494048831 375255806 1000000000000000000 654781204 445940870 170783094 517651676 1000000000000000000 651336421 319722568 54631948 628957703 1000000000000000000 980056451 593110553 402839686 557360330 1000000000000000000 28923763 6395443 5861392 2170374 1000000000000000000 408343877 151761458 287345586 106730555 1000000000000000000 379558664 274505138 312047378 207003446 1000000000000000000 687885867 232463760 577910699 662229570 1000000000000000000 970807394 866603220 359453329 102463997 1000000000000000000 601915661 409743734 355303874 325228304 1000000000000000000 850285969 251779456 263993880 35893582 1000000000000000000 624523023 118087711 524662869 294838694 1000000000000000000 547402150 166823634 428797940 212666444 1000000000000000000 675961126 573931110 111857237 74804261 1000000000000000000 327554845 128675541 182744706 167425452 1000000000000000000 71296620 31688918 14259781 48452460 1000000000000000000 895486975 890661097 760017812 207462419 1000000000000000000 984963258 717659433 615185894 2254189 1000000000000000000 752585502 202061436 166326004 641216767 1000000000000000000 379985129 179447372 81478657 27926077 1000000000000000000 643469283 77749803 440894696 235406069 1000000000000000000 420004792 275728166 191591819 158162792 1000000000000000000 199080126 89504554 18025019 24667312 1000000000000000000 623032792 149943821 565375693 568550799 1000000000000000000 347848280 111756030 215576269 253028044 1000000000000000000 203706381 121379100 53803114 146328439 1000000000000000000 353364421 318738174 255024080 116597593 1000000000000000000 182253702 63894495 125746464 168366931 1000000000000000000 613206117 16124225 96055190 560424403 1000000000000000000 985033451 396646648 341647249 685623559 1000000000000000000 841944247 234554861 525029172 16823455 1000000000000000000 172929005 50581839 118823888 144800765 1000000000000000000 366420352 19426772 15482714 112673619 1000000000000000000 182905748 117383518 137894747 182117639 1000000000000000000 11595045 8974045 8585553 10786236 1000000000000000000 27459003 6488192 22276153 10085528 1000000000000000000 311112212 84285474 268480562 308592851 1000000000000000000 849899025 248483673 184153357 248921780 1000000000000000000 853535654 458331712 35457827 577696488 1000000000000000000 384997499 218906107 196797337 262062985 1000000000000000000 551394925 274653981 400001727 374354135 1000000000000000000 58688591 43293976 56272414 4169013 1000000000000000000 558302125 146976322 152365986 190991361 1000000000000000000 394410749 51904830 47844008 254202446 1000000000000000000 68187689 34237798 3650447 33483213 1000000000000000000 892682228 302815327 377149849 425719067 1000000000000000000 601197828 401938737 384918526 279430766 1000000000000000000 395417124 15374469 358027264 55936390 1000000000000000000 391583190 374963984 350936103 24666797 1000000000000000000 649983568 320240721 543727290 78667220 1000000000000000000 36703404 28237343 10658933 22513551 1000000000000000000 498084622 336888079 373485355 65295545 1000000000000000000 163798376 79464279 7222301 102006782 1000000000000000000 720563297 65277910 690264607 481397199 1000000000000000000 782153407 488506752 619572118 692998624 1000000000000000000 840358417 711332818 792950480 596089267 1000000000000000000 961882522 450493533 49486947 710722820 1000000000000000000 272644798 7034089 84063551 253154164 1000000000000000000 254993759 232099247 21343978 51727011 1000000000000000000 904489337 505796133 834332443 6459475 1000000000000000000 169006266 166027772 96776192 143058241 1000000000000000000 771773350 761511698 767325703 415462562 1000000000000000000 316144671 250257455 3294773 297547558 1000000000000000000 225019793 75860525 187251373 101785758 1000000000000000000 647660900 201453872 507349673 302134281 1000000000000000000 512542450 424770929 503525327 321251694 1000000000000000000 888665181 262336683 436915176 718459324 1000000000000000000 222778415 169780047 42770851 155721275 1000000000000000000 130155739 127060737 118157068 75140969 1000000000000000000 34398041 13631506 11772296 2113027 1000000000000000000 189389216 36040041 64743100 153563897 1000000000000000000 437224864 241775385 424210686 398832727 1000000000000000000 191026296 69525242 121372259 2677764 1000000000000000000 369163311 137097337 300436946 256914918 1000000000000000000 274422854 245274726 91899384 68165833 1000000000000000000 179770647 46285647 113484392 25421331 1000000000000000000 256759315 1934138 139199125 107920107 1000000000000000000 993839556 563982694 730254842 203103410 1000000000000000000 201860475 22225671 141436883 155254586 1000000000000000000 988722783 276508944 413502568 349877242 1000000000000000000 679916517 477263987 662519941 556135424 1000000000000000000 615127610 597971188 409065181 247557703 1000000000000000000 878931909 630167287 820228245 262912001 1000000000000000000 401145461 281587112 377660800 75353451 1000000000000000000 686628092 17802831 672811652 317539804 1000000000000000000 907045640 18276746 213529315 609668523 1000000000000000000 349044638 268271097 143684196 2717834 1000000000000000000 574126195 321380459 317740886 87695173 1000000000000000000 366613423 38183483 152234530 250992804 1000000000000000000 197067642 104132900 53157533 38433758 1000000000000000000 179271754 16494872 158078880 144397176 1000000000000000000 516225256 259685932 112310206 464524220 1000000000000000000 568639793 404558971 505925299 240631657 1000000000000000000 287772844 222317369 273000858 131055923 1000000000000000000 754076746 416040948 220056899 655866763 1000000000000000000 438245414 245286107 326851383 218709914 1000000000000000000 626570889 12852454 282091641 247023563 1000000000000000000 933750515 635121147 728755458 744074299 1000000000000000000 828325127 282098577 62124217 305075900 1000000000000000000 596317480 132277549 257416010 274414003 1000000000000000000 235493592 58609655 170580565 76412319 1000000000000000000 799310000 483959019 268662810 590280914 1000000000000000000 435250514 231483663 404061210 171145934 1000000000000000000 637618069 632008235 224067062 543515231 1000000000000000000 180306047 20318731 29315116 148000816 1000000000000000000 531203868 24120384 85627263 289853032 1000000000000000000 643642162 273962098 620605050 182375829 1000000000000000000 30039770 19424892 17684791 2280076 1000000000000000000 652904937 253117475 563456433 330690375 1000000000000000000 221266362 219180263 24507671 77149885 1000000000000000000 342316780 221818898 162125537 19145498 1000000000000000000 396907541 314396972 184720765 344870552 1000000000000000000 63162991 55786412 12441320 41707992 1000000000000000000 647265390 602530446 423984669 420123935 1000000000000000000 310630689 229407563 56913806 85542508 1000000000000000000 997873271 675255863 133784109 855734221 1000000000000000000 493080043 248819938 113646206 141584682 1000000000000000000 327111964 12191401 27596881 50862334 1000000000000000000 959307234 407110397 727432725 287303779 1000000000000000000 431695342 156950688 319396639 123727187 1000000000000000000 795070669 515949866 209725091 449867215 1000000000000000000 112592250 43857992 64127170 95579344 1000000000000000000 815994923 391863001 702015824 361748105 1000000000000000000 486898372 395739494 104379396 45237137 1000000000000000000 696567804 584518899 555549507 298521713 1000000000000000000 282163645 90111802 242046434 135754839 1000000000000000000 902207618 376880185 191076936 677181300 1000000000000000000 243616815 191401497 17480971 184942949 1000000000000000000 462963680 16057047 427658066 305012080 1000000000000000000 730505185 604688730 524111395 387817408 1000000000000000000 802123119 26365793 498472639 509097604 1000000000000000000 721709399 352852684 333170240 427239756 1000000000000000000 152553998 140488847 25675673 47454612 1000000000000000000 189946862 64554603 128987296 81130512 1000000000000000000 997356947 837067638 398068474 186352105 1000000000000000000 864154654 570292630 197181710 443497014 1000000000000000000 463589639 370251831 349639613 446344973 1000000000000000000 526557779 275423203 216274118 114833741 1000000000000000000 993837870 701863068 838920455 54035757 1000000000000000000 896820807 255811709 623187329 631105656 1000000000000000000 493350412 171383335 443005164 432663164 1000000000000000000 322950263 303361344 111365645 74373000 1000000000000000000 872432333 387237148 491688939 372478339 1000000000000000000 115265376 108155487 67833371 30875764 1000000000000000000 598567733 501619488 92257015 564641906 1000000000000000000 398773230 168797437 80264244 295525736 1000000000000000000 799865085 346156164 193255668 707761917 1000000000000000000 608320872 231784859 254100010 531049648 1000000000000000000 983118107 431164326 449464099 311703306 1000000000000000000 353955079 268720465 9723581 220369986 1000000000000000000 433977870 164649346 97901480 9195530 1000000000000000000 467531930 428294914 19695361 127672466 1000000000000000000 906279682 138639563 470022787 681600482 1000000000000000000 362227256 31925157 280294364 264173522 1000000000000000000 433681247 395050945 382955733 297584812 1000000000000000000 193097599 65593935 180517736 92902552 1000000000000000000 877978651 178921826 377330091 15784607 1000000000000000000 468183224 259350674 127901716 394261480 1000000000000000000 234881634 193212311 20696636 116419100 1000000000000000000 503269856 171614464 441053796 232784872 1000000000000000000 902288262 347236083 57540673 461785807 1000000000000000000 130370740 41318007 82842 100588592 1000000000000000000 777985799 160090476 481125568 298364529 1000000000000000000 794065636 788143891 381702771 182964544 1000000000000000000 63408701 27138845 32178082 35908404 1000000000000000000 357742120 116349283 322891134 318982161 1000000000000000000 667873008 548058366 19022100 53650563 1000000000000000000 783070287 39460906 462162269 241653833 1000000000000000000 380966395 262473353 252447211 348236297 1000000000000000000 988938490 103464517 279178338 285908031 1000000000000000000 988775309 731700755 717606189 23351371 1000000000000000000 217867307 65368881 151668469 28638817 1000000000000000000 817728257 146304703 695218913 292811554 1000000000000000000 631181106 338685724 380234991 354373732 1000000000000000000 718752589 188329586 533049331 627968107 1000000000000000000 182872262 50845913 88181125 145248365 1000000000000000000 451733979 2180351 288244730 424667584 1000000000000000000 417730502 210230452 206226254 163098825 1000000000000000000 956438823 201061552 128328268 665833958 1000000000000000000 817789307 571114863 725216608 246643535 1000000000000000000 677250441 493326598 375692510 624449759 1000000000000000000 100462551 37050299 88880309 53771010 1000000000000000000 848037094 187664762 647521497 439458594 1000000000000000000 47082638 38324193 8618602 30487997 1000000000000000000 19705174 14200278 17578415 967392 1000000000000000000 361948358 223718079 228019119 211863298 1000000000000000000 860244028 826958246 157523200 773079169 1000000000000000000 533773955 182313730 373520163 346412786 1000000000000000000 833342964 302250269 72107244 148392363 1000000000000000000 505550691 442125953 441402191 370774360 1000000000000000000 345059611 187753527 171899499 182280708 1000000000000000000 141597515 131043803 42595998 119842537 1000000000000000000 160531152 101677443 73616268 148644471 1000000000000000000 626221301 52899251 4870387 362320670 1000000000000000000 34511651 21614756 7261310 18467413 1000000000000000000 473680211 244434782 365510149 448668718 1000000000000000000 437905175 123478137 351005199 383988704 1000000000000000000 30839942 16525865 18926130 18217785 1000000000000000000 126480286 81095881 71417687 48804428 1000000000000000000 108577825 32810260 48303917 92586466 1000000000000000000 746407353 461494182 367262228 647129400 1000000000000000000 922434824 920862094 369435495 144962969 1000000000000000000 449940124 396813292 84284397 60429828 1000000000000000000 79328762 7665215 30718638 69664212 1000000000000000000 546725510 262999861 295193135 103730626 1000000000000000000 943205499 734230768 601175036 347657543 1000000000000000000 661734042 464612538 270074722 379183525 1000000000000000000 707749669 549480621 389744657 217565191 1000000000000000000 994097062 624251480 756176193 616998823 1000000000000000000 938527562 160682030 767957332 23234880 1000000000000000000 43680748 38323548 4321112 40892573 1000000000000000000 954844360 542704760 505251271 11697917 1000000000000000000 58531758 24238360 37559006 54158392 1000000000000000000 622659398 443054001 555133227 375581355 1000000000000000000 747228780 143533772 243347283 360684195 1000000000000000000 61048853 53693310 49763745 14833150 1000000000000000000 843857343 445595174 13736548 135248883 1000000000000000000 67040094 56450973 35447590 47493060 1000000000000000000 111578762 9165090 32865147 107642261 1000000000000000000 629323888 512602650 64400390 532784025 1000000000000000000 682661008 620174210 509040584 582708129 1000000000000000000 295434092 155575504 111536506 228925277 1000000000000000000 715824655 188645988 269053382 427070495 1000000000000000000 104052283 16063146 48119329 37102343 1000000000000000000 767920686 554220801 24857647 430387082 1000000000000000000 383126227 40205463 86546389 202193256 1000000000000000000 413038673 352226133 388500535 313100078 1000000000000000000 530538660 494930868 505866005 391298876 1000000000000000000 619353856 84655984 45780651 86039318 1000000000000000000 637687994 433053977 624068134 335934982 1000000000000000000 530312068 397052805 419017329 301043741 1000000000000000000 915458731 446568474 90007429 402602450 1000000000000000000 732667170 78301646 463983003 117574623 1000000000000000000 868003431 275703195 440434878 769380352 1000000000000000000 239738169 225559584 159975889 200413996 1000000000000000000 114029263 111184828 74917113 11536964 1000000000000000000 26573348 2134125 18773280 10304778 1000000000000000000 206933380 132466540 163361811 205809343 1000000000000000000 474415819 131026996 282715032 145885263 1000000000000000000 710568859 195620754 113365834 505565069 1000000000000000000 447433376 328909504 110368408 55782840 1000000000000000000 229929414 131247051 209575747 75605195 1000000000000000000 683477529 341031959 26138612 223233705 1000000000000000000 119137411 62720573 24811951 45812939 1000000000000000000 670037314 604636551 185124193 616493636 1000000000000000000 232299507 204330540 73623620 52972145 1000000000000000000 516927913 438119379 194835651 274873965 1000000000000000000 513619252 261260715 26887137 320413651 1000000000000000000 19079493 15457886 5614890 5829898 1000000000000000000 271310505 234869422 230021460 66300794 1000000000000000000 214239278 93199226 40395271 109289800 1000000000000000000 296425775 81246296 70676869 1224724 1000000000000000000 595921025 593640936 431903960 453660399 1000000000000000000 408139930 322754201 3248385 20946970 1000000000000000000 358941744 138823885 255841145 223800812 1000000000000000000 784835674 255506418 155631475 232005222 1000000000000000000 959666294 768345343 194036880 435874597 1000000000000000000 909612568 2511269 193973427 802306041 1000000000000000000 692461547 80175133 389298553 620504439 1000000000000000000 789743676 717786195 530645360 642734379 1000000000000000000 533808207 484931295 409110772 94947554 1000000000000000000 810329460 304854745 550205186 532445190 1000000000000000000 574477080 162199894 504074096 461834952 1000000000000000000 496144128 332512572 193170786 339451656 1000000000000000000 498168966 79484379 240421829 46569931 1000000000000000000 797500078 169206758 77379862 239897059 1000000000000000000 354722120 2682664 287521160 191936796 1000000000000000000 464517253 15612691 346701923 281310476 1000000000000000000 230787772 2092788 128460218 70676627 1000000000000000000 936952795 368666882 287618054 638841540 1000000000000000000 609828266 609147317 320998140 381972421 1000000000000000000 497766031 260962269 421388148 210565021 1000000000000000000 829286009 676228148 372604121 583299468 1000000000000000000 602503078 338646869 539701445 432373220 1000000000000000000 229388814 222093008 129373446 178893330 1000000000000000000 864566652 516281017 343157517 743017773 1000000000000000000 77912662 54906503 74737825 64551528 1000000000000000000 438043905 366664607 376757092 168026348 1000000000000000000 382140591 56748961 38870998 112251639 1000000000000000000 426697840 304792062 122691456 30861574 1000000000000000000 713432000 48818300 277217877 380882904 1000000000000000000 837287334 22718240 62717377 49088786 1000000000000000000 437335953 338947213 396973962 359075492 1000000000000000000 850546604 546150558 724658709 626145888 1000000000000000000 745952251 445282031 595586110 670643204 1000000000000000000 950390947 373819318 439031934 735097384 1000000000000000000 742659248 220590502 28123931 61342247 1000000000000000000 484110620 220210536 235936229 209853071 1000000000000000000 695284624 623357650 642404001 640406527 1000000000000000000 718320155 687822501 76019724 287213089 1000000000000000000 648053367 163059512 57276891 4945519 1000000000000000000 107941616 26778649 60276383 95830749 1000000000000000000 763965211 550274625 377170624 322359970 1000000000000000000 581896361 99722293 226784154 12426365 1000000000000000000 828224392 386122500 725576567 510528663 1000000000000000000 466683494 55105385 200195829 216448110 1000000000000000000 163430828 114893943 134735579 103843153 1000000000000000000 762435973 559718713 567786276 582757088 1000000000000000000 699642647 4187484 175585845 529113091 1000000000000000000 73785465 38513067 36964923 20311643 1000000000000000000 304659240 94219123 281902137 91979456 1000000000000000000 540498072 107451050 355298157 221339596 1000000000000000000 301012278 281880993 70883466 237048221 1000000000000000000 173329077 17451046 58031747 154341257 1000000000000000000 7539112 2272816 3295086 72267 1000000000000000000 395240850 229359142 237639600 256805417 1000000000000000000 803597472 731457815 370922078 252554017 1000000000000000000 455592138 369067610 89229408 95557662 1000000000000000000 220915308 130070413 126156728 64975658 1000000000000000000 763889546 762439367 638891834 296358226 1000000000000000000 79833844 61547470 73639966 26678338 1000000000000000000 816330446 482955289 385862559 296662532 1000000000000000000 206677548 59029743 79244871 156289792 1000000000000000000 954235085 789797561 284606461 636294210 1000000000000000000 476652281 42063011 61915763 334442911 1000000000000000000 574829103 265447065 314969121 357429670 1000000000000000000 783261412 509396950 453394013 10560070 1000000000000000000 914867788 183301951 579184579 610941791 1000000000000000000 2579004 31362 64193 2139009 1000000000000000000 486149312 34471760 454603373 485174831 1000000000000000000 699797153 684522051 511903036 554234206 1000000000000000000 38461669 11329574 3198253 18638005 1000000000000000000 305235323 253962768 126460663 860664 1000000000000000000 258224398 19484384 208837544 91633489 1000000000000000000 668510830 486383021 406520512 52220538 1000000000000000000 312709063 56227646 84066507 188291615 1000000000000000000 2089865 273476 1536178 1877166 1000000000000000000 799447557 519801656 664806960 135422355 1000000000000000000 346426055 4796543 126670407 22283006 1000000000000000000 116746593 62111248 84607428 56130049 1000000000000000000 331021362 149063796 250993342 59942267 1000000000000000000 62633437 3905008 6947827 46160839 1000000000000000000 94663521 20527136 27223567 70898081 1000000000000000000 405794404 403330177 397109051 304208667 1000000000000000000 64311319 20801739 27886880 32645682 1000000000000000000 886617887 689925732 764955318 284626703 1000000000000000000 784515122 112299905 183356837 418587111 1000000000000000000 229329981 127273938 223502073 105710152 1000000000000000000 259959354 25817542 90572653 167796204 1000000000000000000 177281843 144395720 33038933 78371982 1000000000000000000 531462197 515573953 36599472 136410331 1000000000000000000 995511631 68500880 19288045 97312888 1000000000000000000 518523359 136240732 51819347 119016466 1000000000000000000 28869645 12606357 4265562 12212157 1000000000000000000 24705348 16731858 20135617 16408413 1000000000000000000 747415745 721469534 7247384 392688528 1000000000000000000 251202171 5019499 185164122 84454473 1000000000000000000 352925957 259832951 182166082 302256991 1000000000000000000 583965048 74847832 510105890 238543437 1000000000000000000 830667333 307791402 560010935 565511314 1000000000000000000 477016548 9273059 433194043 327672375 1000000000000000000 560923218 6876876 177337506 231962625 1000000000000000000 500680430 88802214 268239647 282909086 1000000000000000000 259658274 104287208 226859217 60922598 1000000000000000000 783281000 366136742 660854849 356359247 1000000000000000000 478866498 17566857 477162681 405479120 1000000000000000000 208200182 50549509 97380551 138572538 1000000000000000000 898600992 290769562 882181643 319464927 1000000000000000000 542078110 374014877 165239452 513529712 1000000000000000000 200490805 51076206 50589533 196476645 1000000000000000000 338071 44831 24738 135022 1000000000000000000 367923342 63371684 275671230 295315569 1000000000000000000 684167000 215142792 434963375 515278353 1000000000000000000 176683160 155308455 126504030 112233372 1000000000000000000 900641383 753666050 21907551 179554607 1000000000000000000 501121849 335501426 183451459 169298463 1000000000000000000 883487987 357873458 210803758 617926793 1000000000000000000 18182940 2899906 1031051 10517080 1000000000000000000 457386499 197707177 354176927 178493084 1000000000000000000 713185383 277789384 693156813 217056960 1000000000000000000 244527020 186984257 41715759 54545554 1000000000000000000 712674183 693344692 546171622 156410323 1000000000000000000 736434374 730959338 663479481 108420480 1000000000000000000 31395273 26448752 25573659 13146351 1000000000000000000 528751156 83625193 102948131 471114541 1000000000000000000 272087620 138226728 101754786 184959626 1000000000000000000 828680404 71900021 67661559 349571997 1000000000000000000 801550274 547419653 127999943 209044955 1000000000000000000 360442340 159259658 197943616 1999331 1000000000000000000 663050434 180430325 477045941 85369976 1000000000000000000 773251001 552098653 59155555 398805441 1000000000000000000 34696513 18597505 11506713 21658755 1000000000000000000 798525729 588491963 108876243 334127469 1000000000000000000 191119262 124248387 186822552 140822443 1000000000000000000 408539951 58002875 230255840 6797992 1000000000000000000 982266621 889042050 677216695 752115594 1000000000000000000 902875090 702717141 841916404 379981183 1000000000000000000 449751454 307254775 371393128 305332876 1000000000000000000 276073076 18895707 195339019 21153906 1000000000000000000 755839878 170188584 28041175 140511878 1000000000000000000 842234578 731491918 470033161 335900419 1000000000000000000 617090872 404406041 201484743 285384115 1000000000000000000 202690353 115844091 95529891 77799253 1000000000000000000 675423554 603706154 539679691 646764331 1000000000000000000 14241699 1246521 1910066 5303931 1000000000000000000 985574406 787479069 41300593 536721752 1000000000000000000 543749714 106688325 446730938 177962283 1000000000000000000 613506251 301997251 62893308 431680256 1000000000000000000 361772362 361592075 302511791 215674310 1000000000000000000 17520202 11116202 9245516 1716170 1000000000000000000 335911846 170041125 275769279 259607600 1000000000000000000 995433985 845882919 970168833 938652523 1000000000000000000 562715529 487269722 357720002 393693630 1000000000000000000 535219301 130158470 496993004 77229018 1000000000000000000 368963734 54729624 325268925 130593986 1000000000000000000 496343583 485556543 14266549 252567243 1000000000000000000 956312203 525475041 213950891 547492958 1000000000000000000 494128696 199856763 182889453 116437657 1000000000000000000 235174320 202002272 212904533 191016258 1000000000000000000 776028712 241223936 196167681 513192819 1000000000000000000 664010166 217232988 34149641 649233341 1000000000000000000 560352270 548483846 345420905 67956575 1000000000000000000 412786995 354370497 392399537 292404955 1000000000000000000 376705003 152253468 63801201 278528935 1000000000000000000 839324343 106217345 523035136 316657084 1000000000000000000 464469101 272870573 376901857 117138698 1000000000000000000 518812169 239917340 77258659 174571707 1000000000000000000 919904858 575798186 555819693 146851728 1000000000000000000 246637134 205811936 43775632 94204086 1000000000000000000 947077568 3756668 660627490 358035950 1000000000000000000 777303875 311926264 625503932 76359193 1000000000000000000 274092769 89459575 161638548 155242987 1000000000000000000 580810464 508588586 285172810 191637900 1000000000000000000 845307253 293748355 607007493 517445851 1000000000000000000 251118405 167529835 243913283 187728559 1000000000000000000 809472880 792798104 484401917 131890909 1000000000000000000 304736379 87794709 248893385 214644548 1000000000000000000 291328118 175055131 128759223 253363379 1000000000000000000 431232611 21710139 208510701 85158359 1000000000000000000 940355855 780599293 321740173 196365360 1000000000000000000 468092307 90904775 357379103 239936530 1000000000000000000 246775434 206403574 151557232 21559832 1000000000000000000 345747263 224319772 40536221 159937501 1000000000000000000 676570135 412477089 369429429 527314345 1000000000000000000 282725790 221744231 265115803 79872174 1000000000000000000 174223493 167611358 67095434 68316065 1000000000000000000 750808907 542231059 401170071 241582508 1000000000000000000 975921246 33823356 8822952 881679258 1000000000000000000 942142955 635422573 277770840 104077942 1000000000000000000 342311730 259253326 164176197 8016660 1000000000000000000 774967679 671227576 499282516 311364707 1000000000000000000 596454117 535228277 218480833 181504661 1000000000000000000 899479152 329228142 634153738 725920999 1000000000000000000 501295830 154434356 88955877 446712912 1000000000000000000 420982777 92173237 215341536 357655073 1000000000000000000 694121726 299258081 513719432 102668559 1000000000000000000 807066103 663802328 45441538 131033316 1000000000000000000 62074393 33485113 58835505 12810604 1000000000000000000 848734074 536971687 45004040 344214278 1000000000000000000 651632317 339406296 600677061 564676597 1000000000000000000 57400171 30733859 21830276 4225861 1000000000000000000 737389198 524821438 212940713 507020551 1000000000000000000 959417031 642354882 799551714 651810006 1000000000000000000 105443953 91069028 52441238 54565119 1000000000000000000 835360806 644221371 446662570 419700615 1000000000000000000 373685600 178087087 359640374 319483689 1000000000000000000 797793984 574973467 128675899 745477898 1000000000000000000 541804558 541337109 535693372 391943453 1000000000000000000 775010139 179138261 697666967 394799403 1000000000000000000 798130870 528676780 172251327 30458628 1000000000000000000 833764572 564129587 27475589 307016505 1000000000000000000 511201443 306338651 378898062 336693811 1000000000000000000 224482059 82933393 217444718 30775427 1000000000000000000 588302897 221034861 513575341 559477239 1000000000000000000 87268072 48675913 45414395 42915328 1000000000000000000 547758537 526035450 287497498 372324181 1000000000000000000 927088507 545796227 408612822 505539496 1000000000000000000 857880173 216635664 716657316 383600366 1000000000000000000 437668888 398553370 283352482 181673132 1000000000000000000 432469290 385473462 17455032 200984594 1000000000000000000 761778279 35110414 7849338 125226053 1000000000000000000 661540098 556881761 149948854 653927397 1000000000000000000 446034409 129276723 161688648 30279501 1000000000000000000 395820844 40771752 353376831 160909423 1000000000000000000 341946650 63967068 94457925 300446686 1000000000000000000 970544951 94792067 351940439 331011183 1000000000000000000 695515592 480181173 133703756 459953433 1000000000000000000 692709392 57748591 492543383 316042362 1000000000000000000 444035974 344208439 351452838 316355612 1000000000000000000 113785816 51000901 59656875 9573114 1000000000000000000 784358838 503976915 545436837 620062372 1000000000000000000 865522465 837149023 397002595 324332051 1000000000000000000 713047239 164399552 319039610 417839593 1000000000000000000 683545465 298496981 441032162 28663329 1000000000000000000 478760202 237250324 245283393 62256224 1000000000000000000 929951402 120754552 257313339 164441561 1000000000000000000 377711789 72600780 165064354 37866292 1000000000000000000 51340169 39435809 4198811 44434229 1000000000000000000 973017926 848961436 160528181 684018544 1000000000000000000 628035300 137537465 22167286 375233181 1000000000000000000 763490134 106084188 703434940 595377982 1000000000000000000 834991692 86704810 655939861 816080182 1000000000000000000 621484067 562779574 221882020 387525877 1000000000000000000 729005953 359590838 653444418 704396548 1000000000000000000 96821495 22544701 80463993 37064681 1000000000000000000 192597683 91019254 43532489 91922312 1000000000000000000 938992176 518420702 153803776 790612628 1000000000000000000 225146468 166572036 24002968 151793983 1000000000000000000 437415945 131770477 69668522 122963370 1000000000000000000 829041304 509554378 648962767 804143828 1000000000000000000 773869403 391626123 200146381 274772188 1000000000000000000 880614910 238372956 603203035 522213487 1000000000000000000 198466609 71413454 147461433 12181392 1000000000000000000 779072265 576256791 222016807 60262581 1000000000000000000 100033682 46609384 57982765 81471437 1000000000000000000 399416440 52838263 108162099 379808397 1000000000000000000 259544228 179489250 93716881 192176094 1000000000000000000 246519388 19558485 242347110 222009925 1000000000000000000 990804712 533561742 885368840 213884416 1000000000000000000 415451620 242046164 257722082 22347666 1000000000000000000 298543973 289682772 181380255 216829334 1000000000000000000 673039581 275230134 525192006 441639516 1000000000000000000 578965809 175884218 219810599 536360379 1000000000000000000 939468117 431552609 398116773 30674481 1000000000000000000 468494328 111316573 412036178 299584630 1000000000000000000 126964799 14899462 123675868 89497617 1000000000000000000 370981375 213857387 30203772 197691953 1000000000000000000 364122166 154601564 13435299 121644819 1000000000000000000 378993439 337608410 218759196 318424625 1000000000000000000 300525907 228973176 172858453 137086885 1000000000000000000 261627323 109397532 193953310 63723170 1000000000000000000 295878542 63930438 193453831 271660777 1000000000000000000 508306784 463148184 203098042 43078041 1000000000000000000 457463411 58279296 302072251 325552295 1000000000000000000 39746708 4880834 23803822 15585619 1000000000000000000 557461057 347506520 37396216 135675152 1000000000000000000 875490670 225796547 694878822 343575165 1000000000000000000 140428783 15606803 118587109 31623515 1000000000000000000 774287499 610720904 287388017 518173929 1000000000000000000 142436405 72642793 75914463 83754351 1000000000000000000 565141200 392698006 40412738 261251028 1000000000000000000 968922227 465541632 756965265 58695374 1000000000000000000 320052433 17589098 133906992 191807435 1000000000000000000 868057359 487469955 183310376 13821267 1000000000000000000 621317802 206293833 163187129 196902437 1000000000000000000 864260177 513425949 654777836 233597157 1000000000000000000 784424204 416132383 697424241 47839671 1000000000000000000 98741473 5188169 19850357 11602503 1000000000000000000 319255716 315188588 96410596 270914342 1000000000000000000 165249229 1777430 134284594 133186814 1000000000000000000 396027943 352949676 278069993 131391678 1000000000000000000 851813664 336679501 838335161 648843647 1000000000000000000 724925174 318473592 350143189 465437000 1000000000000000000 386641892 297432269 40696940 90138510 1000000000000000000 186568059 133296126 122967711 77892156 1000000000000000000 10834565 998926 6582144 5353961 1000000000000000000 280068530 279658776 28281085 212915945 1000000000000000000 173462848 148768174 42362918 70876896 1000000000000000000 766258312 489237275 711030862 401282858 1000000000000000000 696945930 48221028 678340711 238607442 1000000000000000000 433213124 380137460 352403321 412982297 1000000000000000000 548575335 324163083 289686273 66535729 1000000000000000000 253473190 77937508 234254599 7570627 1000000000000000000 835079045 713043741 192208316 194213537 1000000000000000000 251560470 157179156 236893507 195309281 1000000000000000000 972806150 218725169 453719951 647616256 1000000000000000000 462782936 241801101 139092837 62593584 1000000000000000000 937001930 456711253 375330814 555236859 1000000000000000000 583845214 432107985 147392813 504946791 1000000000000000000 15149578 6240189 13937740 7906573 1000000000000000000 516058354 16394042 347604042 3543961 1000000000000000000 9576409 8092591 9106129 2981482 1000000000000000000 125287894 54162471 40005214 114384087 1000000000000000000 902003023 395202809 236980924 692011490 1000000000000000000 443110803 240689214 436155394 228881604 1000000000000000000 885633338 367206006 485633669 481586710 1000000000000000000 123974729 101928100 16048646 23157558 1000000000000000000 62973499 42892878 12861838 251805 1000000000000000000 322202074 27448697 258422337 237374296 1000000000000000000 958244241 355866219 54864333 190821177 1000000000000000000 360968362 195844360 107403229 347467027 1000000000000000000 688438022 654173341 64972904 178194880 1000000000000000000 284794628 246713764 56709101 104403742 1000000000000000000 52840522 40891778 23175110 22656447 1000000000000000000 924737317 905207982 197339812 51947816 1000000000000000000 994656942 414068029 397812398 793175502 1000000000000000000 543502937 220795880 203256057 361057253 1000000000000000000 859659456 222120707 576736551 453822364 1000000000000000000 631588226 543690159 478276309 197922901 1000000000000000000 624234015 341336615 224348125 183405554 1000000000000000000 783329842 621987439 581827868 318527116 1000000000000000000 679024959 426117254 376932402 236803366 1000000000000000000 100043161 71050101 23567494 24068976 1000000000000000000 311995771 103881949 267197550 263521633 1000000000000000000 777844698 559457842 653060977 182194864 1000000000000000000 302445599 134658932 203877008 125136996 1000000000000000000 508169987 296775429 97223261 366338269 1000000000000000000 903037087 456274230 322798109 69686455 1000000000000000000 598842735 200380609 140996740 309375139 1000000000000000000 216744140 139186528 144109651 95510795 1000000000000000000 255447503 101324551 51700166 9031876 1000000000000000000 607730539 298579366 433271935 334115389 1000000000000000000 863649622 233366660 762345907 274950558 1000000000000000000 391019984 198167773 90769247 42578687 1000000000000000000 152765875 120307754 55015291 41185653 1000000000000000000 301192553 215961230 108335751 237048017 1000000000000000000 238040336 221161828 214590136 5760395 1000000000000000000 910104615 414667448 57869622 344287373 1000000000000000000 680908980 216244838 244103644 25080573 1000000000000000000 634569182 69571808 324974980 483180646 1000000000000000000 569917838 431097852 161432795 255623454 1000000000000000000 437192257 420795559 342468394 421064472 1000000000000000000 738519773 25007164 566874719 197200156 1000000000000000000 962284499 383813636 20084747 489757096 1000000000000000000 57128599 33604285 12040250 38119771 1000000000000000000 725338889 275614951 321601611 305690904 1000000000000000000 182906382 15319449 126188975 69360457 1000000000000000000 576749228 339070066 34387913 51607722 1000000000000000000 839825875 92836937 708112177 430573688 1000000000000000000 818830212 348338019 697504564 575077579 1000000000000000000 274644011 142445919 219175470 158769718 1000000000000000000 335589860 312508808 221022456 127888484 1000000000000000000 418645118 151361405 34236079 364370520 1000000000000000000 913313359 777084469 87665218 824727385 1000000000000000000 772098603 523556872 665542641 742209487 1000000000000000000 246796334 115814529 57947467 23289621 1000000000000000000 704273844 230117751 462591775 389522434 1000000000000000000 346229178 46430143 161028145 223192996 1000000000000000000 267613234 210531238 54950547 207153392 1000000000000000000 340421489 141310857 199842016 13243077 1000000000000000000 820411154 387683892 109798124 433082046 1000000000000000000 284660503 58832547 170005509 54872993 1000000000000000000 603851130 417723271 288071637 108288645 1000000000000000000 73054932 6798335 9886822 31882359 1000000000000000000 602892820 45534305 171237544 390699434 1000000000000000000 151039715 13962466 136492592 5511038 1000000000000000000 691501158 58614963 268740027 227937508 1000000000000000000 112075278 9225321 93730304 77130597 1000000000000000000 721185805 427730019 673494662 43568524 1000000000000000000 607600715 19967121 300440663 314388656 1000000000000000000 147420871 44326857 38850806 7480333 1000000000000000000 344332762 172515211 69846485 115420211 1000000000000000000 400052376 173668271 15583367 349929577 1000000000000000000 473638134 334204136 454514888 23928679 1000000000000000000 371092259 38491263 150348414 92971345 1000000000000000000 751121467 748716043 482808029 248617996 1000000000000000000 393237859 252954834 388389576 159805825 1000000000000000000 462073367 165886597 41781376 233106268 1000000000000000000 902974818 160194405 46525152 213574613 1000000000000000000 721856012 573059902 637206797 540682566 1000000000000000000 814277687 482495301 708834593 234926587 1000000000000000000 486544095 169551644 403917151 313367139 1000000000000000000 349646173 86049677 104332797 340763211 1000000000000000000 941615912 293792534 51134506 844374703 1000000000000000000 735362209 271861910 728031391 450047664 1000000000000000000 349279713 118847047 218190182 46697755 1000000000000000000 536265651 204499573 519006884 123889908 1000000000000000000 369554748 250900690 277116326 335857770 1000000000000000000 67830285 2355778 9739136 23016676 1000000000000000000 106103616 86113303 41118751 60022054 1000000000000000000 887958491 177222337 171093031 306663387 1000000000000000000 273440881 128571484 5585435 232842522 1000000000000000000 394404511 292968547 386384731 361656425 1000000000000000000 912240723 362615403 365960982 842848802 1000000000000000000 335192322 54912817 267987281 232913478 1000000000000000000 966869064 840779265 103592913 24517233 1000000000000000000 116190831 9676576 34272263 85664700 1000000000000000000 436103142 72888951 235566100 276274813 1000000000000000000 866634394 724596675 569991549 706841571 1000000000000000000 209318977 118542878 72687015 90087339 1000000000000000000 480699270 184660658 470504591 304080887 1000000000000000000 75601870 6587990 50715635 63424987 1000000000000000000 218441827 156803261 143291485 200069219 1000000000000000000 680297791 4113369 482092695 373750466 1000000000000000000 562345306 343446030 544048347 394547387 1000000000000000000 355944735 152556936 135757323 152369827 1000000000000000000 340574812 319046316 23206433 150708245 1000000000000000000 318070345 261409718 49380807 299733356 1000000000000000000 861073304 10521344 730715427 97400983 1000000000000000000 839240435 223595406 578009326 202965821 1000000000000000000 843247126 169832118 138788286 199503691 1000000000000000000 430713337 410858872 280275386 169053456 1000000000000000000 851758552 541688960 444946685 836525808 1000000000000000000 12146122 11719990 4717032 10773079 1000000000000000000 325300956 43629869 67436076 103016698 1000000000000000000 951645659 285150470 260847140 735272178 1000000000000000000 342431972 75893060 98394692 49708366 1000000000000000000 374431679 160909428 208022345 299408474 1000000000000000000 329997356 97840794 64312228 50474590 1000000000000000000 172515449 93224618 150891197 141278487 1000000000000000000 709382941 412905054 666909050 59110783 1000000000000000000 686300085 595719003 466266943 631886526 1000000000000000000 967389581 648357027 192811865 494187700 1000000000000000000 850759480 102179888 57852328 589191354 1000000000000000000 294873817 210031915 274646140 40747284 1000000000000000000 921618506 684294907 720434869 407857987 1000000000000000000 328059141 58967413 286884316 60497531 1000000000000000000 310553387 296961308 153895334 132766575 1000000000000000000 69926490 26382493 41342758 26755373 1000000000000000000 674872768 510265333 263852570 522324706 1000000000000000000 222387799 172882139 18975709 125272107 1000000000000000000 353775125 325220748 197292505 218435460 1000000000000000000 657213947 425601178 285715040 252508561 1000000000000000000 174856561 97632536 149328798 138332787 1000000000000000000 276486044 101553364 67773882 184510125 1000000000000000000 949017816 422815903 212012732 893093658 1000000000000000000 877040940 286432877 175671803 118507290 1000000000000000000 363046771 58317384 221767657 127758224 1000000000000000000 547970822 28024604 404280240 89035974 1000000000000000000 893928288 39613599 282035122 32211497 1000000000000000000 824804119 190720997 45873719 799361647 1000000000000000000 793830980 453798306 556161645 351292870 1000000000000000000 826069915 389337116 305462413 428819452 1000000000000000000 236903502 134014170 21400498 112765225 1000000000000000000 632084342 407535475 148190032 207289914 1000000000000000000 775042923 641843795 195986358 770752252 1000000000000000000 570921039 564699054 175491667 391789474 1000000000000000000 303244895 276385177 17855912 287061295 1000000000000000000 464251167 137280615 403717316 229705181 1000000000000000000 523596064 207068691 253824428 183264584 1000000000000000000 845541652 282931844 578068278 571528105 1000000000000000000 352195768 128263312 312626977 90981447 1000000000000000000 533617052 308465577 452930007 40990761 1000000000000000000 958113786 647922216 217081003 647718616 1000000000000000000 984467455 15680195 917523439 666595767 1000000000000000000 255929356 236256183 128089328 142780345 1000000000000000000 570170550 176001626 119024937 84335665 1000000000000000000 326788498 183189886 107053006 218559162 1000000000000000000 941835533 127758714 646510749 101017695 1000000000000000000 38138140 19038778 7610069 28061709 1000000000000000000 258166873 158486121 97325523 183388766 1000000000000000000 812649618 507959458 265185895 132156577 1000000000000000000 601017668 208447833 260728660 300273316 1000000000000000000 561346679 324380166 26445611 447050684 1000000000000000000 156416298 31457913 136679620 6667275 1000000000000000000 99989989 30714799 42076579 43390336 1000000000000000000 561322946 47880684 350676951 357137250 1000000000000000000 613433302 299795106 322725715 253613065 1000000000000000000 709724786 64643483 651469329 578259228 1000000000000000000 510681110 247090946 507649495 169820403 1000000000000000000 154464341 10217924 122654775 119367866 1000000000000000000 503248367 305111004 355081969 326971615 1000000000000000000 610242867 275344263 64969281 131549373 1000000000000000000 992498080 905896887 873456256 172287310 1000000000000000000 286568898 130127391 89914492 192448226 1000000000000000000 773216174 97768336 461519482 368224895 1000000000000000000 596328390 346124045 400447703 575598155 1000000000000000000 645265146 115188646 113812029 210607549 1000000000000000000 55508868 22416603 32442452 49147235 1000000000000000000 375588478 221015516 202350787 275050090 1000000000000000000 534844429 215825610 247084051 181377101 1000000000000000000 88179549 58167570 1628662 47495449 1000000000000000000 662663573 635116338 319304945 167909419 1000000000000000000 158927603 122669839 62295762 138812781 1000000000000000000 804001472 693762778 450350483 523334692 1000000000000000000 813673636 237111252 714279159 50146734 1000000000000000000 441049158 145586866 367478222 216287885 1000000000000000000 320898521 311545970 235053597 53742001 1000000000000000000 186650950 89910653 25864440 770586 1000000000000000000 196636703 193037490 139776974 141209316 1000000000000000000 883979118 719095515 694426672 398921216 1000000000000000000 640812309 130219384 346342216 378171899 1000000000000000000 71550427 63558967 29700365 61126574 1000000000000000000 215601269 133100147 88152821 183123374 1000000000000000000 420157572 21905350 365247134 370465399 1000000000000000000 425776242 160779159 201172830 277723466 1000000000000000000 395276329 18937409 55040176 312272937 1000000000000000000 66912662 29072371 38780901 50681110 1000000000000000000 765861164 130725451 410350196 430021027 1000000000000000000 70102801 44002098 67285071 28792695 1000000000000000000 8273788 365826 6622411 42171 1000000000000000000 279992969 21099369 244343976 191377952 1000000000000000000 121027691 35223506 85483321 34638973 1000000000000000000 788717725 737480042 688712174 529648527 1000000000000000000 183124689 102017666 141794777 59006438 1000000000000000000 241622404 190487743 14937103 208584303 1000000000000000000 875960241 414185366 191199684 369665428 1000000000000000000 632976791 304673144 137144871 472340890 1000000000000000000 70414325 66709501 29891086 16779739 1000000000000000000 801052902 76063444 515648048 649317438 1000000000000000000 394903630 19628084 214624300 136796640 1000000000000000000 681116277 621820683 398691657 103036088 1000000000000000000 842373230 419649820 20890469 308371460 1000000000000000000 977497091 442637801 774788958 578824021 1000000000000000000 940301196 281510235 625221516 161133739 1000000000000000000 674200592 643385294 639858760 137228437 1000000000000000000 746100027 733868518 235053042 432706168 1000000000000000000 31518040 23350145 26116698 8542958 1000000000000000000 502549421 238701360 211887296 62588978 1000000000000000000 990650691 535322122 636355144 133611083 1000000000000000000 757282211 622252300 473157792 628745007 1000000000000000000 733088345 104432158 602525221 57605971 1000000000000000000 264595547 176751864 91956245 146780856 1000000000000000000 956053566 312838312 492013812 933517078 1000000000000000000 245219286 226270294 7799497 8074357 1000000000000000000 332894929 60926268 140423229 80459836 1000000000000000000 829114057 828887816 423993194 292596633 1000000000000000000 598364583 81884310 268385667 381697563 1000000000000000000 735686490 626677383 687554963 709817497 1000000000000000000 976655483 301507022 208234005 809130205 1000000000000000000 283968850 115641791 35038505 238659013 1000000000000000000 950119637 668528203 687920712 915681141 1000000000000000000 146560623 70259290 113287384 26595858 1000000000000000000 142699415 17441595 127303869 327977 1000000000000000000 668813855 655929402 32239167 440988852 1000000000000000000 204403537 21255078 86801563 150703275 1000000000000000000 295206273 271385880 230209859 286749373 1000000000000000000 298313624 38741604 246293154 132843260 1000000000000000000 424600324 250999174 400518419 138550466 1000000000000000000 725537604 173351110 637691259 665971897 1000000000000000000 104572993 4924017 53087054 103055767 1000000000000000000 893646205 680484637 337782743 860075837 1000000000000000000 197075564 152820133 62035321 39164112 1000000000000000000 841959678 156965760 673597407 725651418 1000000000000000000 277068197 102301261 8071831 108126742 1000000000000000000 285133044 25459181 263246504 31642469 1000000000000000000 375368037 261614338 132062296 183340168 1000000000000000000 943384340 503192552 872262181 221908306 1000000000000000000 414849298 101831682 152182047 384375793 1000000000000000000 627838567 329812991 497775426 515092967 1000000000000000000 652646364 475306100 568291253 412183097 1000000000000000000 292204424 103824038 285538024 73393559 1000000000000000000 789462795 772412698 353379197 421344207 1000000000000000000 30714926 3152142 5088491 20032221 1000000000000000000 739357458 234947986 720301797 530432309 1000000000000000000 521417285 480703796 277929397 352332753 1000000000000000000 147837198 126322418 75993558 132589912 1000000000000000000 468203250 459579296 239411766 59213246 1000000000000000000 745816891 128537431 137681541 638796697 1000000000000000000 325876231 28622590 26790918 58067043 1000000000000000000 460888183 392073267 301810023 447513417 1000000000000000000 552339330 55690079 411904978 386149883 1000000000000000000 763458030 22485026 351385927 173499014 1000000000000000000 329981973 213295585 301808148 297431626 1000000000000000000 416914318 303357386 350861925 280713255 1000000000000000000 704008316 655491943 399434065 177925890 1000000000000000000 801139972 289068950 203414477 399512615 1000000000000000000 564489995 511564113 515256894 408135231 1000000000000000000 531412836 167168867 181918545 131769374 1000000000000000000 391326552 270108105 296274137 18119564 1000000000000000000 453772480 409607610 100117917 243155832 1000000000000000000 805688535 387321342 777096331 408915289 1000000000000000000 924605469 567900215 500948844 130661548 1000000000000000000 761447057 356088098 670156782 3751959 1000000000000000000 578160058 552404064 197084959 557018579 1000000000000000000 674038815 26147284 402511802 594759049 1000000000000000000 698394888 458221843 613396268 362538438 1000000000000000000 939399484 616575995 885723876 747114506 1000000000000000000 142229308 70712754 112996293 137850470 1000000000000000000 22875396 1181741 17420518 2094015 1000000000000000000 518936780 202702260 73817251 386276979 1000000000000000000 837153821 155683325 307372020 743882917 1000000000000000000 587312790 492161482 92290818 524996870 1000000000000000000 226942386 194570490 60808789 200359486 1000000000000000000 985939107 62003368 78857985 16260574 1000000000000000000 86930963 3955069 7415250 65610793 1000000000000000000 583404971 489689369 87229799 206567770 1000000000000000000 722337524 392642702 298062579 654735664 1000000000000000000 611917062 374900242 324399069 533588430 1000000000000000000 418263914 358652046 78461194 125933983 1000000000000000000 409803423 233469146 32908380 143693382 1000000000000000000 14355229 8043659 5174770 10865526 1000000000000000000 545275556 285053478 45439952 183116855 1000000000000000000 598894123 430862696 448131922 526199846 1000000000000000000 498525893 226381824 374147615 467020361 1000000000000000000 382051148 10881443 294805209 234328149 1000000000000000000 297266692 10590066 186633333 126118432 1000000000000000000 499175653 479393081 384988328 187851344 1000000000000000000 52897652 13342920 47234480 12143571 1000000000000000000 66851808 58220387 30032931 45591532 1000000000000000000 503084079 458957918 435810037 352824841 1000000000000000000 737095244 113469542 373032252 247845345 1000000000000000000 724423992 584680451 509209534 643512826 1000000000000000000 764377120 739080127 540563320 156917776 1000000000000000000 715063613 124167526 85415430 347211675 1000000000000000000 403265948 153499786 48602025 337976379 1000000000000000000 531325451 210130322 208942505 188951870 1000000000000000000 591178592 166340357 198681766 453708947 1000000000000000000 157822625 11461298 49446582 125275367 1000000000000000000 859631925 406838973 300538740 721626211 1000000000000000000 675882474 388012569 650230832 442370571 1000000000000000000 421163520 67704702 78225848 221803067 1000000000000000000 590473350 176760861 287345985 186310714 1000000000000000000 444226985 430157613 53635760 284845759 1000000000000000000 693900042 254499535 252645599 650131466 1000000000000000000 878282082 665762892 312241291 709884304 1000000000000000000 676742381 165790782 499742895 127675391 1000000000000000000 852320987 54890908 319140718 415463631 1000000000000000000 908165128 32202831 41316275 587506167 1000000000000000000 843521382 566997538 95289581 514923782 1000000000000000000 790901976 221039340 390224772 409809485 1000000000000000000 990615755 482189834 192925575 967107270 1000000000000000000 239299620 96057246 87214851 141380794 1000000000000000000 444242568 356036498 178675817 60581656 1000000000000000000 704722506 395839892 69777821 374423549 1000000000000000000 665191904 624938775 460789736 421503500 1000000000000000000 37313502 32595709 3239211 5615088 1000000000000000000 296403823 49626315 243707413 274372531 1000000000000000000 166381797 126105756 90783038 74262798 1000000000000000000 704487591 89054575 320558614 216768786 1000000000000000000 409225106 388326140 172866651 342188952 1000000000000000000 545121873 45262710 510180709 74753306 1000000000000000000 553006889 259247158 287733636 62348069 1000000000000000000 106094116 7579275 14778576 82170285 1000000000000000000 369888306 243776015 196156698 212141987 1000000000000000000 711103719 143679212 458235162 574064972 1000000000000000000 642823554 120014934 141793302 769243 1000000000000000000 479911855 155386849 334089750 96323121 1000000000000000000 889822781 867512923 744679864 488869112 1000000000000000000 767353769 420203373 431900845 173023562 1000000000000000000 49170812 324424 2860198 9542265 1000000000000000000 993139562 424307396 544935594 455681508 1000000000000000000 599758777 133687264 244549039 170044896 1000000000000000000 145978680 120285835 84403909 68925504 1000000000000000000 502729385 483888435 166524767 145236675 1000000000000000000 434524159 46736872 313020240 271010175 1000000000000000000 101465010 59415537 16298175 81026698 1000000000000000000 520824578 23489535 283349623 441811153 1000000000000000000 478776398 345525795 146189702 386402649 1000000000000000000 723100166 604439207 648835491 458413331 1000000000000000000 600828160 307268269 289102203 483004943 1000000000000000000 611736604 568552642 585617320 391462460 1000000000000000000 868445294 286283033 693524657 255801723 1000000000000000000 177518586 119176917 82900927 37004080 1000000000000000000 190958478 24801895 177784627 72938404 1000000000000000000 522555875 125460780 53482734 70667765 1000000000000000000 918566168 535256674 497787303 16296979 1000000000000000000 768405665 249113891 626459733 367140607 1000000000000000000 255806285 61249550 86475635 128165073 1000000000000000000 901767453 99689675 518547744 731191531 1000000000000000000 436578130 10479180 349953563 159101877 1000000000000000000 412901654 371099696 329879953 411595792 1000000000000000000 54917479 30396053 7448353 7863206 1000000000000000000 446819802 266791471 193348999 61119452 1000000000000000000 972234780 615585474 959721047 899259155 1000000000000000000 505999155 322696148 194923068 3760324 1000000000000000000 804360426 543185832 556813206 566994829 1000000000000000000 915099799 324570289 248183846 803438822 1000000000000000000 128479508 76437210 17839169 92349784 1000000000000000000 236044394 216394245 22994836 106746868 1000000000000000000 520231739 56838145 404415610 370470854 1000000000000000000 449280379 208266085 112379941 78657305 1000000000000000000 934689118 117558808 844890534 494718685 1000000000000000000 278255027 35960668 188118196 178200238 1000000000000000000 544152017 450146645 538442802 216411848 1000000000000000000 487471591 215507783 9076874 292730283 1000000000000000000 349087287 345564875 286818223 110414965 1000000000000000000 205084431 203964144 82331635 32719448 1000000000000000000 276654097 213963181 90406306 222450490 1000000000000000000 548156019 379823662 218841679 538963379 1000000000000000000 438736447 273490594 421965440 130073021 1000000000000000000 662161774 69901770 522395388 189579050 1000000000000000000 527790177 481443791 369416134 436464133 1000000000000000000 347859933 204426044 333905321 318778511 1000000000000000000 54163270 18911131 39761654 31709886 1000000000000000000 32360369 25309252 11215136 283537 1000000000000000000 363171366 285671398 285510081 221552507 1000000000000000000 231495060 61295579 54430519 157819916 1000000000000000000 26968886 24615664 11258664 16617317 1000000000000000000 615076155 366663913 13840238 77139537 1000000000000000000 561276735 154329109 349854290 509356655 1000000000000000000 773191007 274816925 650133759 589283551 1000000000000000000 922596430 10902789 189355477 172862429 1000000000000000000 274308323 256263970 137278637 10521415 1000000000000000000 542621297 337197497 288571621 196533505 1000000000000000000 349386027 209638519 36551769 306243216 1000000000000000000 824466060 556117008 549103015 617301413 1000000000000000000 973363209 706214392 297894879 144666309 1000000000000000000 285010657 200622674 156160742 150565827 1000000000000000000 721230697 441043268 446233564 141864435 1000000000000000000 21965608 6747333 20563412 3720194 1000000000000000000 938060072 756816900 486286266 784158169 1000000000000000000 461132264 247734172 214078338 252136484 1000000000000000000 229511546 111018745 210930431 78955920 1000000000000000000 213139937 193832078 8076388 49145233 1000000000000000000 819956223 212225113 273491343 104301961 1000000000000000000 382364134 259128054 53966442 350023895 1000000000000000000 953442626 923244755 500318206 816890668 1000000000000000000 577465711 292208939 301547301 205479013 1000000000000000000 197354101 102201519 105841390 151227002 1000000000000000000 703460424 588699901 287233583 86194741 1000000000000000000 213128566 141032413 88551195 184829226 1000000000000000000 484372336 460727376 455215873 337444268 1000000000000000000 820012660 204920167 38804521 47304374 1000000000000000000 778226121 177321847 738925545 452602263 1000000000000000000 193893290 124373957 152258284 149271179 1000000000000000000 550932169 376993236 235246844 528023270 1000000000000000000 406758136 218557 382914554 388631156 1000000000000000000 917920179 645168038 650948014 755514431 1000000000000000000 564738567 479275804 273108224 185959679 1000000000000000000 441900288 386616575 112719770 278074315 1000000000000000000 48127530 23245897 33568620 31435927 1000000000000000000 181302326 169735182 67976031 161089924 1000000000000000000 714308848 539287455 344098774 293483664 1000000000000000000 8092124 7821621 7421265 3173766 1000000000000000000 993941026 112109265 823951540 814479812 1000000000000000000 550739529 77915273 440411819 257256509 1000000000000000000 424821563 397760591 35849292 19942781 1000000000000000000 941796467 493625911 639767262 773775029 1000000000000000000 545795123 451127324 390347476 82611377 1000000000000000000 17953314 12806029 11033067 8220581 1000000000000000000 499668624 111307479 105083153 250866616 1000000000000000000 606803271 429025165 170973088 526268675 1000000000000000000 629451988 99320376 9220360 276115440 1000000000000000000 397941040 273378899 106779990 62593381 1000000000000000000 658243567 20666047 179870803 571513355 1000000000000000000 902978927 112071321 726648005 337219030 1000000000000000000 243655353 112297030 65622033 171795700 1000000000000000000 935737900 329275433 363856423 14981218 1000000000000000000 924047509 419146667 449189559 272393765 1000000000000000000 113912395 10340929 104765961 81640271 1000000000000000000 227402209 73854315 106225356 174194850 1000000000000000000 457236323 450636670 349174656 62689457 1000000000000000000 43875169 31703813 40455388 26390254 1000000000000000000 793356176 654977999 116511963 195046593 1000000000000000000 286952940 210881286 3732170 36597513 1000000000000000000 535614915 99914776 366756553 226036918 1000000000000000000 438931950 428711621 385277765 13526241 1000000000000000000 353147594 166685427 319741282 328454955 1000000000000000000 821015787 552971463 394397555 706036904 1000000000000000000 670711937 182913195 279580880 347343662 1000000000000000000 591147126 290315184 362731599 43520987 1000000000000000000 86613559 12056546 45602674 21554525 1000000000000000000 793097657 169007367 340846530 698812664 1000000000000000000 989845690 475500563 605751790 583660165 1000000000000000000 251503360 69333075 151702793 49535723 1000000000000000000 262323427 33522906 109980023 228190005 1000000000000000000 484424489 53009719 343787568 186264051 1000000000000000000 65002789 12281248 8833283 49963001 1000000000000000000 11998493 6289835 5423140 904800 1000000000000000000 952540023 1144055 184388464 415579207 1000000000000000000 230958875 98830935 40122520 183740994 1000000000000000000 757310713 587525607 44446239 438421111 1000000000000000000 166808804 19874547 111826677 128821180 1000000000000000000 613477951 367485798 298533661 550375335 1000000000000000000 141006572 122341191 121403877 72454387 1000000000000000000 869534207 755063982 437382400 113027796 1000000000000000000 137347203 76696339 27811491 33644773 1000000000000000000 425535578 23879427 322195178 241064921 1000000000000000000 300212283 229857925 250161694 36096848 1000000000000000000 917380552 121617723 439941482 552671253 1000000000000000000 116437083 12538938 27786490 106650298 1000000000000000000 317159179 68224035 296646122 314891684 1000000000000000000 210279367 168366892 148770312 80959700 1000000000000000000 552532980 29723045 295923669 164165933 1000000000000000000 783285830 323460330 491584059 496033954 1000000000000000000 678184287 511679223 318742921 486148892 1000000000000000000 419044159 338608830 310153900 393219252 1000000000000000000 602902959 456974383 55844806 437181355 1000000000000000000 104851772 70324783 69800701 49836719 1000000000000000000 92974123 80619906 54804343 686088 1000000000000000000 179353530 91127368 5701568 114233754 1000000000000000000 578792032 476682919 104606006 184363279 1000000000000000000 330536263 35948338 71702357 309190850 1000000000000000000 395645427 113426638 91853328 191071739 1000000000000000000 790055662 615030248 46847080 238379956 1000000000000000000 483681130 449583567 23514237 132945918 1000000000000000000 85167957 55008676 11454469 65243025 1000000000000000000 94857053 17377043 52289417 85567522 1000000000000000000 768300745 97897727 451349885 120569589 1000000000000000000 253174503 89300531 247646329 97232291 1000000000000000000 809905918 465089309 764438812 478618116 1000000000000000000 114736587 99409672 53202184 75465795 1000000000000000000 783804752 749434700 238119595 253945304 1000000000000000000 26279984 12705826 24427637 1122092 1000000000000000000 429909769 114113016 342233555 147717820 1000000000000000000 520355814 423216641 428841803 183044060 1000000000000000000 863787394 61632528 577469 14939116 1000000000000000000 922953058 416158975 316070875 795621616 1000000000000000000 8712269 2122694 4271698 5584567 1000000000000000000 116799952 107135127 81732790 30699569 1000000000000000000 67675227 67401769 31812747 17408276 1000000000000000000 127111754 126233378 115310282 113664688 1000000000000000000 922624222 711853427 178281302 521501256 1000000000000000000 199688826 81294240 56649577 94570574 1000000000000000000 44919659 34389620 28260153 16585937 1000000000000000000 714606260 540519621 526357191 476137014 1000000000000000000 425957851 310102089 291504639 170234181 1000000000000000000 881144494 813086606 581988862 49303331 1000000000000000000 728960570 369232789 136559028 268302466 1000000000000000000 328603643 319006498 105959293 185754559 1000000000000000000 130425769 40793588 66271316 24628815 1000000000000000000 194095665 141755869 151237475 93360629 1000000000000000000 939580336 726957901 596533101 337204519 1000000000000000000 921013439 807631470 736958021 207239360 1000000000000000000 565312371 301128166 134589605 392504481 1000000000000000000 531635618 12453666 137188398 396413977 1000000000000000000 295323277 74683733 43809137 107859220 1000000000000000000 142133014 67237061 46094133 18608417 1000000000000000000 421624633 315860195 110409405 390798924 1000000000000000000 636222746 175059422 57521575 187627109 1000000000000000000 665437724 105274346 601762598 72184854 1000000000000000000 750888821 702140162 67065428 82244946 1000000000000000000 291962728 62888243 246803504 128416169 1000000000000000000 929659948 752341285 632248385 551104493 1000000000000000000 610797379 255678923 30778440 229459680 1000000000000000000 587722200 287291215 457174059 413434658 1000000000000000000 638225036 399517388 318011582 612895619 1000000000000000000 215816814 58686281 137098668 5975859 1000000000000000000 583710076 356148238 9257769 374757713 1000000000000000000 325976126 292391034 230927269 228577433 1000000000000000000 272657090 101863487 164117147 219043279 1000000000000000000 186225073 47562366 50572978 47699773 1000000000000000000 140279329 38939362 100274861 20603629 1000000000000000000 510285321 349392810 140420315 432587763 1000000000000000000 251486126 56705824 55093823 113217465 1000000000000000000 759652559 118416592 440440110 678406616 1000000000000000000 143551502 27908219 2288972 53654267 1000000000000000000 566713274 539573637 99436170 236132732 1000000000000000000 614884475 70509098 587109073 479180195 1000000000000000000 707038349 2980687 705269533 173175425 1000000000000000000 211957307 174406684 84767967 64862818 1000000000000000000 717648078 687321092 489402317 440323878 1000000000000000000 915813730 404141505 323745322 79192453 1000000000000000000 73456148 20069780 37096119 18072762 1000000000000000000 431634745 339059647 322268375 225550052 1000000000000000000 666704499 501523566 207458544 311956471 1000000000000000000 185132350 130502166 163085151 97044048 1000000000000000000 602146302 327510970 16622030 526222295 1000000000000000000 484786191 53990386 453229599 372536294 1000000000000000000 596748240 155514250 11746232 480305481 1000000000000000000 207567518 198717392 19614625 3618559 1000000000000000000 165602797 91218367 33188785 141787648 1000000000000000000 359390360 47369848 197773507 237117356 1000000000000000000 2697547 841773 1260906 1557676 1000000000000000000 647195864 640762112 354746578 447459670 1000000000000000000 888048136 373187630 187501494 390142844 1000000000000000000 359850321 16727707 273234980 151849735 1000000000000000000 618082211 51130736 506875855 378687872 1000000000000000000 853723576 73092008 176822610 802658495 1000000000000000000 607515427 465014816 209527681 202424507 1000000000000000000 629343264 487759833 180319350 167378480 1000000000000000000 137727652 55464387 69479371 58856256 1000000000000000000 334158809 86541596 140010237 9980830 1000000000000000000 131039693 60953487 69623786 95622236 1000000000000000000 868839610 385453032 350008563 757658353 1000000000000000000 882148053 68852040 117654079 40265021 1000000000000000000 819484239 671059987 444257349 215729222 1000000000000000000 584181419 352149382 106372328 22234259 1000000000000000000 17384888 5167229 5708331 12270995 1000000000000000000 442815810 297150155 83927651 352649874 1000000000000000000 401061953 303368808 249881747 135540048 1000000000000000000 872834791 32379729 589923622 458534625 1000000000000000000 484541970 96279483 240758200 159486249 1000000000000000000 357484614 58482209 310978657 115397583 1000000000000000000 303236101 208930010 17594806 117657946 1000000000000000000 468929694 435473172 333858904 185551349 1000000000000000000 502093812 4536840 93752396 177621021 1000000000000000000 926931932 916435878 76226761 249235207 1000000000000000000 727145866 434232913 671837568 381555580 1000000000000000000 534367248 196929604 278367119 390109341 1000000000000000000 338795951 43852545 35629730 12368953 1000000000000000000 420426168 397611322 113726801 292577970 1000000000000000000 522504166 516004033 331710205 478234936 1000000000000000000 429372837 225984901 11477985 351849459 1000000000000000000 655417641 626635756 464552773 510319333 1000000000000000000 801677744 489839526 251358773 536269348 1000000000000000000 737340710 139700984 398575284 514382378 1000000000000000000 249036607 86488420 26835761 159649952 1000000000000000000 311065353 27528208 271079371 188069617 1000000000000000000 787238504 195698196 273534466 631548682 1000000000000000000 352679829 320381014 216959146 336712038 1000000000000000000 934972066 619228942 804720378 315160644 1000000000000000000 56025198 55356984 4688754 58029 1000000000000000000 294364821 102357298 77200637 226314605 1000000000000000000 948279024 555176177 125594152 872422716 1000000000000000000 478231238 337021824 428603584 449147273 1000000000000000000 300227229 6094079 181364834 202918327 1000000000000000000 64809311 11771440 36240391 61554752 1000000000000000000 957418309 126155651 219986925 831901138 1000000000000000000 914157363 351744369 650200729 53790361 1000000000000000000 534628431 341545544 462401544 320596752 1000000000000000000 496729048 136864513 151573362 310806924 1000000000000000000 700701925 450620694 269631896 172055209 1000000000000000000 874835929 422502206 615963824 554469397 1000000000000000000 397982726 181973460 288169871 88313240 1000000000000000000 828144228 751014661 295161012 339533561 1000000000000000000 47563109 39742049 45373300 35150862 1000000000000000000 107403078 44274259 28592169 99466916 1000000000000000000 201581702 107715684 156895358 197300312 1000000000000000000 761254880 10172547 375807207 76308786 1000000000000000000 987801437 844708201 906736361 362982891 1000000000000000000 265181770 111590288 179563421 226598887 1000000000000000000 564022110 62954782 75441253 49354777 1000000000000000000 103845123 1468520 53121569 87364832 1000000000000000000 426707207 47516660 421060396 241808483 1000000000000000000 51167239 30631697 22732484 49559048 1000000000000000000 861137152 590495889 35579880 206044189 1000000000000000000 357382849 164848195 151347095 198821557 1000000000000000000 964118869 202655326 900949260 157661950 1000000000000000000 888109903 200008942 749573726 381457934 1000000000000000000 829697478 769030987 822976360 301741443 1000000000000000000 534144378 192850656 57299208 258093584 1000000000000000000 961838602 416662920 146079753 509167711 1000000000000000000 456981664 305056196 32316589 218995376 1000000000000000000 797912055 652955821 742414963 42412575 1000000000000000000 765373476 459521177 70483955 502970161 1000000000000000000 311688398 181524881 102193565 154859476 1000000000000000000 296332551 210637060 165338322 102274134 1000000000000000000 550484628 188509815 424835809 131204548 1000000000000000000 851992781 511809282 497162191 482675907 1000000000000000000 434804548 51817937 131415305 317532520 1000000000000000000 427393819 208973537 158061222 404343818 1000000000000000000 113735328 10194290 92727148 61059503 1000000000000000000 122383708 36716925 119250768 84242733 1000000000000000000 248084438 180004290 239624200 84618819 1000000000000000000 500463790 371197331 191360160 83916973 1000000000000000000 364276469 112986574 225452405 230675904 1000000000000000000 177077036 13906280 70445224 64271161 1000000000000000000 562545079 434857338 287102238 536512305 1000000000000000000 902269040 219481665 111150370 879830004 1000000000000000000 724245946 45263021 5281454 123859811 1000000000000000000 39053319 36929029 7489522 17519271 1000000000000000000 337139859 15670866 324909797 15639166 1000000000000000000 334281336 330620993 282542266 306846501 1000000000000000000 454780634 312157590 95537085 7472594 1000000000000000000 235331598 145525661 224346336 56239146 1000000000000000000 245984911 217684694 202462546 15697608 1000000000000000000 352009912 146674677 307778238 17172997 1000000000000000000 532755381 431136696 459899091 279555742 1000000000000000000 739678304 339544574 265091400 601528160 1000000000000000000 228040558 24633885 75128401 205128662 1000000000000000000 453397360 125742326 269179463 52384741 1000000000000000000 733320712 131488956 45689911 240150291 1000000000000000000 260073895 88872769 250009447 95399069 1000000000000000000 980267229 298123500 599807925 754778515 1000000000000000000 354139689 23679111 282029872 171147934 1000000000000000000 824273658 268047147 601761143 84141645 1000000000000000000 498993750 298261034 140801254 76392248 1000000000000000000 676174746 442272412 490294000 644514425 1000000000000000000 646684901 392590505 54055747 285385303 1000000000000000000 312364928 8005841 214353262 191225473 1000000000000000000 104808454 23347614 54836674 3439048 1000000000000000000 557349608 533866274 78951823 392399829 1000000000000000000 156240469 129379558 112550993 83837344 1000000000000000000 862074944 640178266 551860738 120173067 1000000000000000000 45350651 27126945 19537470 35342933 1000000000000000000 720852781 498828543 235143467 692667116 1000000000000000000 732488342 219816514 353209941 137578172 1000000000000000000 633492012 242430034 241686342 485857615 1000000000000000000 30003020 6687142 19202548 18216453 1000000000000000000 469549429 91446011 67370756 26214559 1000000000000000000 70226406 46817207 36886417 43021885 1000000000000000000 173313883 57311872 166458352 77302869 1000000000000000000 652100137 532134260 620434371 34348667 1000000000000000000 773368565 650550525 608190987 129627981 1000000000000000000 876738198 802331401 169554720 424762262 1000000000000000000 441770893 227835980 358574010 281333976 1000000000000000000 735303817 367849353 256072722 358619256 1000000000000000000 720549514 488273191 252201227 546343233 1000000000000000000 299987309 238152673 274485067 269160531 1000000000000000000 78379070 59228658 76772835 76092543 1000000000000000000 122314507 36657174 65162571 58003106 1000000000000000000 614111174 26175799 526639773 479468628 1000000000000000000 283277885 263408995 34540911 213434652 1000000000000000000 809564200 412654445 328947202 95135112 1000000000000000000 527817211 316924253 277353304 190508763 1000000000000000000 23059850 4321774 8733964 13165692 1000000000000000000 453200977 374250317 371887492 319668298 1000000000000000000 868099666 391600399 6972125 862873276 1000000000000000000 223024741 68518972 136122629 24192201 1000000000000000000 481365258 2655993 5657805 431431547 1000000000000000000 759059822 499110923 254871045 377537325 1000000000000000000 859579283 229295463 267200082 142819345 1000000000000000000 608833658 303574905 153072593 466693860 1000000000000000000 184574709 62373079 172445588 31287967 1000000000000000000 159913067 58436198 136278583 110883592 1000000000000000000 695278282 342778653 284603405 646978621 1000000000000000000 817003508 432581941 770152242 221199817 1000000000000000000 716439998 80006515 89187756 131244558 1000000000000000000 743078123 166958818 267825054 513272322 1000000000000000000 317343578 11488957 130052559 171921319 1000000000000000000 829602959 678581639 293992370 693798843 1000000000000000000 85773913 67192647 36270357 43422431 1000000000000000000 387595116 86388993 183683264 176684407 1000000000000000000 348520575 202553964 142652648 104256715 1000000000000000000 481858256 27322698 127740366 3032454 1000000000000000000 421271626 152019427 153241302 31531842 1000000000000000000 183417118 154800085 67779927 20251170 1000000000000000000 566912160 199191566 363238489 90512943 1000000000000000000 875597864 39209912 717117332 542838263 1000000000000000000 229264050 143318628 147957274 28123897 1000000000000000000 163886774 94258232 108362578 66589900 1000000000000000000 178277360 149361224 106297242 174121695 1000000000000000000 828371784 416984702 813511578 750360587 1000000000000000000 235535593 40870414 18669000 203594863 1000000000000000000 561929 424590 145873 123397 1000000000000000000 925260943 689527930 588613709 411793203 1000000000000000000 940633101 626594983 716610593 421552580 1000000000000000000 624648770 402344453 31394802 474345256 1000000000000000000 502720898 455056621 68436624 467236706 1000000000000000000 52984423 16423991 27431892 35294897 1000000000000000000 934739772 54894306 609242332 591761523 1000000000000000000 733791024 539572851 129271516 210390365 1000000000000000000 422398385 15494141 407432522 272357990 1000000000000000000 83747133 46139124 24435632 39550442 1000000000000000000 396901226 327722653 113762900 293793091 1000000000000000000 458421819 130675319 367523653 101440905 1000000000000000000 459722337 280061056 444622471 4921192 1000000000000000000 332990616 129722799 170325924 228914911 1000000000000000000 66586368 33180393 60062343 56488370 1000000000000000000 5838575 3237198 1470891 688963 1000000000000000000 314062382 242992738 295445658 244245120 1000000000000000000 654635224 533714148 286312132 567194544 1000000000000000000 288483452 77889995 50428251 62517202 1000000000000000000 682263685 544734281 362526180 646286300 1000000000000000000 578510159 120617846 555492680 576827973 1000000000000000000 230074697 203725947 218736691 174896742 1000000000000000000 256561676 160188579 176204316 244890889 1000000000000000000 992602141 175976854 883403462 382601969 1000000000000000000 116990142 5694211 71898257 14671362 1000000000000000000 26131232 20229922 25042095 471839 1000000000000000000 472713635 350404480 2005511 237503277 1000000000000000000 422476561 360850917 415464530 323398391 1000000000000000000 666312236 424168437 141209216 388855938 1000000000000000000 991504491 255562654 366805932 114670938 1000000000000000000 230241061 51169130 144532942 198332179 1000000000000000000 999274600 370191822 331475865 862345658 1000000000000000000 369572522 108920664 10819389 168435686 1000000000000000000 151742634 4299141 37944246 20122877 1000000000000000000 853231034 372143560 635727023 608329803 1000000000000000000 639740471 492288168 611192363 265531858 1000000000000000000 210005607 100209180 142881770 103748471 1000000000000000000 459488060 133171933 398722064 364269799 1000000000000000000 157201444 69413269 42726424 106759804 1000000000000000000 701722998 96995154 539836395 541829534 1000000000000000000 244530260 72939673 9869818 221115705 1000000000000000000 175855399 81275891 138998869 85735408 1000000000000000000 178491017 177320226 22511918 103712070 1000000000000000000 955302010 771841400 505124341 953697535 1000000000000000000 906351758 7029730 350741915 369265754 1000000000000000000 478740689 72945530 169738111 193895836 1000000000000000000 110474492 96437793 98153345 104736468 1000000000000000000 86584795 37707342 72598302 42859792 1000000000000000000 592290769 563811086 245159672 189345382 1000000000000000000 528996975 499697532 31447150 227407445 1000000000000000000 973162134 936056294 856001145 950627946 1000000000000000000 442713686 30694682 23180362 67402019 1000000000000000000 24201628 19856768 16384958 2037298 1000000000000000000 182101231 129839998 5390641 164572517 1000000000000000000 533591354 238751184 476111738 190960558 1000000000000000000 343313960 208443127 38545713 275480824 1000000000000000000 207708579 87038019 23361558 142870270 1000000000000000000 839146891 697726365 491885798 545710140 1000000000000000000 343325210 66762251 205067245 146607665 1000000000000000000 870776431 338107697 328719298 382238336 1000000000000000000 793618275 421207010 129918447 562639405 1000000000000000000 515638210 342789689 403948559 380937771 1000000000000000000 771495331 762977131 233371905 357225625 1000000000000000000 74932022 67342710 5538615 70486462 1000000000000000000 181047180 134449611 106703677 7252473 1000000000000000000 621920704 424115016 66868643 193779517 1000000000000000000 480919898 205708833 98443579 404591894 1000000000000000000 920527450 276209521 766161939 452222924 1000000000000000000 813422523 697162849 415597132 449085830 1000000000000000000 715071106 330600247 262714405 267339238 1000000000000000000 429176891 42314115 122353593 161220981 1000000000000000000 634648796 320149493 263095785 209018894 1000000000000000000 175635206 84480163 111396785 408351 1000000000000000000 636455237 273276765 513794899 252259348 1000000000000000000 785043549 444312231 627376632 217005346 1000000000000000000 497096860 372330395 17764408 138365844 1000000000000000000 377350883 129366155 38977210 255156474 1000000000000000000 427499435 121557344 319333427 161812840 1000000000000000000 776552491 487822154 384410286 604599022 1000000000000000000 81037395 46169195 43272255 11319299 1000000000000000000 310700152 296359039 152025631 170995848 1000000000000000000 95769663 78287420 9107550 57919637 1000000000000000000 171345471 126332101 102164974 1571303 1000000000000000000 541616500 382685384 304493365 71519385 1000000000000000000 726044474 493371314 605820081 4798595 1000000000000000000 237412026 105411804 46533016 106415279 1000000000000000000 836444791 739069459 666777029 101502355 1000000000000000000 566788301 494917357 462806870 531653802 1000000000000000000 696302614 11396302 583573520 102547300 1000000000000000000 732669796 268661445 136974280 548730942 1000000000000000000 282409374 252553808 181281802 220630840 1000000000000000000 138894878 133383899 10729606 18191352 1000000000000000000 253122501 8715736 69641094 9735543 1000000000000000000 406910563 225673499 219023841 301833488 1000000000000000000 294559852 77700148 292175356 141046490 1000000000000000000 720834893 115573290 393491647 712984718 1000000000000000000 432007105 47819169 259957791 80012781 1000000000000000000 690829398 296637494 39442650 274994656 1000000000000000000 421591482 385591483 84072686 29209124 1000000000000000000 478933312 235417249 52852445 23332014 1000000000000000000 588237704 347397502 7839683 145594140 1000000000000000000 994094477 84168858 778615268 283433161 1000000000000000000 244614048 97873967 123656993 45031829 1000000000000000000 772402091 438171189 717654468 372841664 1000000000000000000 707438403 360213316 209180897 569891533 1000000000000000000 994071484 214363227 290990414 256163905 1000000000000000000 585974782 441306435 277651844 579564692 1000000000000000000 869567909 18901311 85382206 746534020 1000000000000000000 532495028 355268106 416848415 341407641 1000000000000000000 711890950 619114990 364375394 371783126 1000000000000000000 68049408 20849289 65713759 38288895 1000000000000000000 326312164 159502624 282168229 274230635 1000000000000000000 221953508 45288622 130317225 115186189 1000000000000000000 600433710 148443032 25836613 87486190 1000000000000000000 946503110 572546307 780739863 631124878 1000000000000000000 734196951 706588662 240451705 615007596 1000000000000000000 633228694 548001010 627303346 454241809 1000000000000000000 932080700 789584971 181820609 686447662 1000000000000000000 342144612 321163858 9175119 330355305 1000000000000000000 347622779 332502311 283548892 346556749 1000000000000000000 545656052 113250866 502268763 237026316 1000000000000000000 491646156 226673661 301077134 41701438 1000000000000000000 555706237 226804471 111739878 523152889 1000000000000000000 182393590 11561692 173250720 39607053 1000000000000000000 297483717 271442411 255465865 53434967 1000000000000000000 607092745 409473761 419698590 280367898 1000000000000000000 146680842 34754616 22811059 90730100 1000000000000000000 711722981 298301748 649548771 509339598 1000000000000000000 966018780 951706513 157530246 869616687 1000000000000000000 913754286 279016267 862982749 552336275 1000000000000000000 74915269 9466386 3548572 64631835 1000000000000000000 816828291 523086898 753208617 703255124 1000000000000000000 907139580 575819074 666733330 121911986 1000000000000000000 78343221 39082595 52378941 43917726 1000000000000000000 527478153 43024469 293538161 411309424 1000000000000000000 464508073 432257301 372845580 398604848 1000000000000000000 168177749 147210140 110641073 137748241 1000000000000000000 215268055 134759686 152436095 211373002 1000000000000000000 783643407 697954095 614321539 421056157 1000000000000000000 316519288 113840421 2547083 206414574 1000000000000000000 413916625 212742386 363265480 284977399 1000000000000000000 161014219 131069333 106035999 12018545 1000000000000000000 343407920 152717489 298856500 233701009 1000000000000000000 356657825 258117733 96178958 322316752 1000000000000000000 955520963 877798092 394226818 586161345 1000000000000000000 735802189 364653116 496587848 150760187 1000000000000000000 981572182 113736935 201761524 644528621 1000000000000000000 139592664 50622429 1582329 91468205 1000000000000000000 762104788 246305514 52587381 612128880 1000000000000000000 531391481 60867488 440313171 40919076 1000000000000000000 351827698 330833205 39784669 254980030 1000000000000000000 358320049 327724810 279600928 114677467 1000000000000000000 530852926 67247609 26458393 115046844 1000000000000000000 217274786 105300485 203297736 51966271 1000000000000000000 208063282 20832631 193728743 199039027 1000000000000000000 950976091 253044585 2894823 341522109 1000000000000000000 328013276 326645472 83275668 9698580 1000000000000000000 896479458 719259044 189466785 124981653 1000000000000000000 700841626 232112316 493160010 435135432 1000000000000000000 772387672 124099101 565442808 435699672 1000000000000000000 948030473 258021156 728591217 508390845 1000000000000000000 321873444 245253506 25415360 282151803 1000000000000000000 512161568 506029760 43515954 445954446 1000000000000000000 968928885 558547858 906478043 611660097 1000000000000000000 64617118 5681388 22453003 4915657 1000000000000000000 977961980 347843747 458408754 491480231 1000000000000000000 723276349 468993763 604814139 503565503 1000000000000000000 373626142 173122562 270577350 345406857 1000000000000000000 542734656 221972874 127454432 4676393 1000000000000000000 27436103 18639998 25280362 11781977 1000000000000000000 804090125 418837102 131008047 493933583 1000000000000000000 110406192 98337230 65235756 35955654 1000000000000000000 832597120 257664319 770891335 778885046 1000000000000000000 919769244 41771605 133284565 376788708 1000000000000000000 21317043 220218 17353052 6536707 1000000000000000000 897506662 822248711 548201713 48726188 1000000000000000000 510140415 173345357 226175673 182637988 1000000000000000000 681516412 670282518 364016426 455641561 1000000000000000000 565580542 273147738 338972622 175032467 1000000000000000000 494623746 445275905 476371954 39165527 1000000000000000000 454200815 327981699 99650189 243993390 1000000000000000000 329053860 4839962 119293445 103166128 1000000000000000000 620960729 141983745 432165302 325173632 1000000000000000000 623908235 336899781 191625035 409630965 1000000000000000000 619720023 119094604 380995354 387675069 1000000000000000000 828597108 304560689 207265194 613630453 1000000000000000000 225680451 162196140 28770615 14714187 1000000000000000000 490209080 421817427 454746916 342774510 1000000000000000000 978772305 292967912 651653099 302610120 1000000000000000000 456002649 313926994 120349012 29150281 1000000000000000000 797896249 640619014 600079670 293909315 1000000000000000000 89458721 39218568 20713096 53139540 1000000000000000000 159339539 34818314 8234105 48675691 1000000000000000000 754174992 67311043 113022904 515165752 1000000000000000000 376182184 14353877 326353271 350635076 1000000000000000000 696043798 241471011 323747330 199863989 1000000000000000000 923170795 397911844 633163466 818995428 1000000000000000000 863503886 555196654 491652338 775063350 1000000000000000000 178122221 170165108 58703890 109024206 1000000000000000000 779646598 585976429 669763349 731174811 1000000000000000000 693700870 115364756 319462967 415227835 1000000000000000000 84219117 55614291 25632969 63647289 1000000000000000000 238215919 197883267 226169465 14412228 1000000000000000000 446366166 175965494 161320112 126287603 1000000000000000000 893530476 558912896 304041283 774137992 1000000000000000000 568202509 552826306 280050788 381078221 1000000000000000000 8401638 6097089 5976163 1666095 1000000000000000000 617654205 3688406 89607283 430008259 1000000000000000000 158045561 66618862 83877117 109865698 1000000000000000000 746009544 9094017 361141031 12260276 1000000000000000000 956565184 806996527 894404770 587894607 1000000000000000000 38694696 1048877 12823090 22972677 1000000000000000000 666942332 39967593 441170251 223042611 1000000000000000000 195939591 181871258 150130223 116232059 1000000000000000000 29124643 3145095 12134974 25979550 1000000000000000000 391764066 117567788 276006846 122096136 1000000000000000000 688056327 382434144 288250913 653740983 1000000000000000000 408858811 203966689 101586454 120041705 1000000000000000000 258766963 224892905 219819173 78587432 1000000000000000000 724702987 114852423 284089864 26461602 1000000000000000000 995524238 202298344 214791750 917107891 1000000000000000000 268167523 128831204 21120246 82601045 1000000000000000000 497681813 465133054 383434626 234616095 1000000000000000000 600422171 522450994 487121265 436589301 1000000000000000000 600903765 90843952 306239466 103984112 1000000000000000000 881030590 168088418 230226927 524297034 1000000000000000000 705788576 151304077 308130801 669502847 1000000000000000000 170780519 82920375 18417597 130544437 1000000000000000000 345249484 231815870 51555719 246631862 1000000000000000000 14536206 10472736 12228859 494707 1000000000000000000 488277452 231231671 62018646 102891036 1000000000000000000 781431323 204318860 403490376 475800589 1000000000000000000 706672758 497895443 103179471 321803941 1000000000000000000 168955611 77109662 98955172 131754276 1000000000000000000 937554022 579511884 88539685 200315647 1000000000000000000 470039965 258068677 305522290 182009654 1000000000000000000 830298074 255700039 171495365 545747559 1000000000000000000 19785629 16995992 18238451 19158154 1000000000000000000 548876090 491039013 414611158 71987574 1000000000000000000 732570579 487139949 275223593 353974155 1000000000000000000 323918419 82960866 60577639 273088426 1000000000000000000 236329736 78162660 232318284 169923098 1000000000000000000 760636775 330005947 652237693 697700694 1000000000000000000 416320418 254375757 283532446 277434206 1000000000000000000 719882702 304696615 660724868 427775279 1000000000000000000 634657049 523878240 598754660 630102103 1000000000000000000 638836365 419212358 239093668 62337540 1000000000000000000 929872192 415761455 53062691 118417382 1000000000000000000 943075173 13981206 449751133 724978464 1000000000000000000 407885182 9600219 223041854 81326404 1000000000000000000 488819097 34530125 65250812 275306227 1000000000000000000 356390625 162293058 136353141 224961794 1000000000000000000 743274191 586039827 625825678 190738267 1000000000000000000 11083834 3784563 615257 3598844 1000000000000000000 111086696 13146798 61019476 59348361 1000000000000000000 470158874 288186208 14198936 155783316 1000000000000000000 811882172 525240519 91710324 743899527 1000000000000000000 746983054 7937867 179644450 559273943 1000000000000000000 718932415 686265940 66188586 251774385 1000000000000000000 176740644 52371318 23881371 15004517 1000000000000000000 857085534 537646973 569890684 38661616 1000000000000000000 183626104 49602269 82885827 28985612 1000000000000000000 439628087 191799815 413862282 319349167 1000000000000000000 450564136 281982256 307115163 114910280 1000000000000000000 527332899 305660582 362298521 477897277 1000000000000000000 544220791 68355981 230412546 127828284 1000000000000000000 549630163 146366191 271966886 103322301 1000000000000000000 236373946 140633344 136423430 10774293 1000000000000000000 129296203 69695913 41147362 103829268 1000000000000000000 937430128 933272858 470581217 399218864 1000000000000000000 79923332 17102217 8090273 5191732 1000000000000000000 82548363 30415153 35627899 58904613 1000000000000000000 447919752 123690479 170559602 35098138 1000000000000000000 473218893 444006700 238795409 11572194 1000000000000000000 27751625 15650505 6141582 18407800 1000000000000000000 258566093 130139969 93370028 143251024 1000000000000000000 589670393 303669033 355554512 242021765 1000000000000000000 236763617 174834695 101898156 188806020 1000000000000000000 46792481 32579238 27351612 34576639 1000000000000000000 572270162 62222343 434752082 130029027 1000000000000000000 48699083 45645746 19685713 27056066 1000000000000000000 181688717 67406979 172721374 142183211 1000000000000000000 147834315 123774214 133938147 17841688 1000000000000000000 501608779 433550717 379952538 93487572 1000000000000000000 644155221 484088367 212229539 558394900 1000000000000000000 316482937 234762206 66822883 9892594 1000000000000000000 818440666 114683540 767242053 180339258 1000000000000000000 674929708 515785308 1927972 365396025 1000000000000000000 730963421 235051495 152757973 309333715 1000000000000000000 444778185 173186166 323483748 88742441 1000000000000000000 734557727 718297186 33706902 625896650 1000000000000000000 518585285 33037843 318896620 503622243 1000000000000000000 949611457 929410431 675417035 115709425 1000000000000000000 177780522 80888715 141553159 130685631 1000000000000000000 13633913 8324590 8740774 3818464 1000000000000000000 484354483 217553590 393293308 201582725 1000000000000000000 697483654 674917881 238446984 499408601 1000000000000000000 35923784 10795206 4780555 35893207 1000000000000000000 80076303 63250700 61495238 20021982 1000000000000000000 17964114 7856811 16414544 5854944 1000000000000000000 755050227 523180468 74796281 91136418 1000000000000000000 948604876 225500631 345283483 883450060 1000000000000000000 573809133 122624796 421615563 286536922 1000000000000000000 78128224 33189614 26477724 52095591 1000000000000000000 736166742 65216992 537069744 730487037 1000000000000000000 928082254 483044468 491890176 495893907 1000000000000000000 450907011 323573071 286891502 159521490 1000000000000000000 35246202 20345599 11885823 7088890 1000000000000000000 85670816 77779294 83800358 76884917 1000000000000000000 581044338 61518418 19145923 436999616 1000000000000000000 815806115 806970584 100572673 695529483 1000000000000000000 46718600 5162140 37018880 34854099 1000000000000000000 824643086 716278454 628452432 450802424 1000000000000000000 535256728 227898473 489099418 512277423 1000000000000000000 59620876 15474479 5664887 28374251 1000000000000000000 620377724 49681683 41468970 410104686 1000000000000000000 112657225 35616203 15461953 15944660 1000000000000000000 240306932 229538692 182323416 101503608 1000000000000000000 678009620 318400358 360041079 384306120 1000000000000000000 785556135 233426463 747834173 217541175 1000000000000000000 65233599 23630019 19601179 587676 1000000000000000000 478283184 63798079 346461084 113171650 1000000000000000000 721337886 293122057 426620874 146290523 1000000000000000000 371576724 90098294 171527784 155790104 1000000000000000000 168282517 162857846 82402310 10757746 1000000000000000000 97137101 737123 43835183 3901014 1000000000000000000 851968211 771986299 167371496 479429200 1000000000000000000 58671119 3611830 40392098 25505955 1000000000000000000 300472801 252509050 166283364 115922547 1000000000000000000 257554457 207482617 169723199 109931163 1000000000000000000 564960457 461905734 225250837 297594676 1000000000000000000 959442 427344 267237 724401 1000000000000000000 345162564 11818791 25031383 179298874 1000000000000000000 328497306 51062241 251504436 190659168 1000000000000000000 703307198 247407581 39472068 467521291 1000000000000000000 910968990 816535277 632775406 637121554 1000000000000000000 542977528 477236529 73780243 357268064 1000000000000000000 385233473 211330504 68181905 14778513 1000000000000000000 987076654 286746957 232188575 825251334 1000000000000000000 501940164 189274198 449165048 5504280 1000000000000000000 830640195 546344404 449590404 498690577 1000000000000000000 624251185 118795209 75021107 89102851 1000000000000000000 927771957 546941039 890311255 562006555 1000000000000000000 220931516 90031865 180052213 209556803 1000000000000000000 506133799 195650902 88347801 85380023 1000000000000000000 175516374 16587549 143926934 25389281 1000000000000000000 24587732 8411218 14842360 22441256 1000000000000000000 780367658 494362600 486565941 410213204 1000000000000000000 518676693 144229267 269367283 448920610 1000000000000000000 772793388 382996479 124672145 210165718 1000000000000000000 303207413 247902391 37694283 57230707 1000000000000000000 678402276 274247987 239754064 292106251 1000000000000000000 317997078 282556482 274666125 170636376 1000000000000000000 223946399 78366104 135741424 90964652 1000000000000000000 241399240 133978967 228143224 81634071 1000000000000000000 485021108 69417998 88150296 70766852 1000000000000000000 138352231 41173700 131211187 126545500 1000000000000000000 252568963 1810369 236936452 95017047 1000000000000000000 514534825 254463004 319969942 484418588 1000000000000000000 699467253 24944349 541629219 548948650 1000000000000000000 924243289 865220818 788598824 667044856 1000000000000000000 993495313 280363489 964934152 19637430 1000000000000000000 476604732 431573272 311903962 207147906 1000000000000000000 432862843 421517634 194262163 118917397 1000000000000000000 811922013 201831281 771117636 578517147 1000000000000000000 726917589 220343424 490857748 701125132 1000000000000000000 49389219 26520631 1969410 20125934 1000000000000000000 674895127 203463730 252515662 146662624 1000000000000000000 205446111 129223092 36996655 199906292 1000000000000000000 70369473 52800745 13625188 53248305 1000000000000000000 236275247 42021637 133971546 167844345 1000000000000000000 598270999 51538441 397765281 467033288 1000000000000000000 358199552 289371286 357747340 295667880 1000000000000000000 587706975 194936390 521060982 277872574 1000000000000000000 740766631 703329777 81767879 250531612 1000000000000000000 28675818 27955525 24968414 28005672 1000000000000000000 290944390 131628084 75044353 181788968 1000000000000000000 770156378 489382214 262769997 101417550 1000000000000000000 255085432 10885578 12989413 90226381 1000000000000000000 965242758 407920581 155281017 794298673 1000000000000000000 699303455 493430412 173689655 629316791 1000000000000000000 798979755 370543237 156548706 522790891 1000000000000000000 397956108 185391370 292952389 319849779 1000000000000000000 787442589 698561445 254763411 494817345 1000000000000000000 700431922 396445362 642824360 671582519 1000000000000000000 41648064 28401605 21002054 3775535 1000000000000000000 760367174 141712722 640159802 582134488 1000000000000000000 568760361 444701205 467242315 520965440 1000000000000000000 600120611 217469682 350874171 517597769 1000000000000000000 13636372 11646435 1155934 140872 1000000000000000000 221451091 28531925 94092676 207247515 1000000000000000000 849141661 361203166 640910062 620135246 1000000000000000000 596562145 274768051 40209684 237871350 1000000000000000000 411593579 406214975 362595015 228760330 1000000000000000000 866504278 467150683 521602946 557817427 1000000000000000000 999893697 699375964 458221380 497873533 1000000000000000000 113809578 62067782 42128615 101511103 1000000000000000000 699411518 5812398 152444899 425947790 1000000000000000000 778436723 266144888 161482491 500199268 1000000000000000000 617964412 588945745 551986412 276458765 1000000000000000000 937473646 252054744 298159350 835922162 1000000000000000000 932160994 115731832 511049789 382484035 1000000000000000000 279313366 272526106 60875582 10733090 1000000000000000000 983265556 974756378 160250896 923630616 1000000000000000000 720393421 509393053 669378339 49594052 1000000000000000000 287520902 180791822 85136918 181674084 1000000000000000000 815128880 141120691 556934187 798162397 1000000000000000000 129359035 34836961 128695945 31415779 1000000000000000000 298196977 242200884 22645880 90398695 1000000000000000000 598085369 51234575 259441148 270756746 1000000000000000000 977015462 529235657 325992831 892731358 1000000000000000000 705793383 569434878 101543002 286187519 1000000000000000000 815901727 769049110 646939449 441739203 1000000000000000000 686935947 386664625 243721518 158601468 1000000000000000000 225573094 76522619 45468900 163874173 1000000000000000000 377357692 82115502 304919143 89566078 1000000000000000000 588802274 132033251 239640514 520249470 1000000000000000000 140276069 14796662 135848852 45605610 1000000000000000000 296122441 188523021 10216850 160706070 1000000000000000000 685613459 303279963 561393258 249565620 1000000000000000000 276211944 210818608 157412189 7477535 1000000000000000000 453095687 195476978 448354658 174699604 1000000000000000000 839671096 810074265 676364135 97214648 1000000000000000000 313554326 67195018 130912279 233722864 1000000000000000000 554824263 49727392 378225735 270790125 1000000000000000000 430326975 54685665 235864288 280638517 1000000000000000000 734195083 232712604 644495790 209607006 1000000000000000000 785790234 84318290 252547781 700164791 1000000000000000000 978155276 382412361 43941431 827722194 1000000000000000000 412293202 64969406 96419844 110030186 1000000000000000000 785160027 177399491 751499474 532312325 1000000000000000000 734104551 375189555 603327839 718366949 1000000000000000000 654146603 222819611 614156713 152859105 1000000000000000000 659876709 462770507 659323376 522882307 1000000000000000000 959388024 144447364 551693032 273154552 1000000000000000000 269798087 15942051 118190780 247524139 1000000000000000000 313770028 25321494 299333366 1137607 1000000000000000000 411931719 256242198 372106351 109222363 1000000000000000000 147903122 138490528 47798897 23519950 1000000000000000000 953474292 640941842 533613788 77093912 1000000000000000000 808755569 743368262 691736301 472549715 1000000000000000000 267841334 158642898 61744743 221769381 1000000000000000000 164385817 30326529 32183952 128988426 1000000000000000000 231984425 153124955 72254729 57033810 1000000000000000000 321407228 83794805 43162274 126345416 1000000000000000000 463386180 182273326 451304974 345122168 1000000000000000000 610473103 330365986 72528626 379584779 1000000000000000000 782225282 720748212 24063807 253613529 1000000000000000000 270688658 190726072 104761675 79999974 1000000000000000000 831495648 101839450 375934320 314255516 1000000000000000000 377603545 153306223 372806134 103666064 1000000000000000000 665689202 252697963 123439259 294714256 1000000000000000000 691705588 436874612 506177448 51670860 1000000000000000000 288077645 81899058 118123699 268897096 1000000000000000000 228279975 111796439 50401879 93725364 1000000000000000000 483093248 135828084 110412856 327228586 1000000000000000000 909887502 787018001 753748487 699707044 1000000000000000000 941572540 442932460 385917059 703448075 1000000000000000000 676010295 68956685 579569282 162226562 1000000000000000000 156711441 153588967 60976834 13998874 1000000000000000000 979285997 169389128 605736246 926170087 1000000000000000000 111532191 21409781 21706728 25202037 1000000000000000000 295909592 111022341 109590557 109272830 1000000000000000000 249624419 178208001 207906755 139602617 1000000000000000000 212129703 71390324 155569150 124599934 1000000000000000000 407742052 384820260 220781808 93303304 1000000000000000000 854261813 427706316 687706568 317077058 1000000000000000000 844721033 792002770 781814457 671367128 1000000000000000000 90251355 8783492 87201195 60221496 1000000000000000000 534684496 84872647 466178041 36448782 1000000000000000000 606478346 327276067 98395745 383670213 1000000000000000000 698352948 65834151 376923041 60471521 1000000000000000000 397948277 148299521 371218051 26528294 1000000000000000000 897460818 217887768 542969049 402329883 1000000000000000000 787131308 556694176 217588703 698580453 1000000000000000000 971365295 360726778 657169456 587083530 1000000000000000000 389718707 93163477 111825758 190074349 1000000000000000000 952380567 539924865 23952235 155043933 1000000000000000000 51564297 39684894 47009363 44820144 1000000000000000000 774387936 22085657 176270927 142251097 1000000000000000000 114660443 22919699 76959892 81443364 1000000000000000000 332256070 92948635 253234250 162496901 1000000000000000000 326397299 103606361 221658300 110351323 1000000000000000000 557649214 459753147 397162586 193610390 1000000000000000000 703546840 276696204 585296031 372205422 1000000000000000000 233876381 65308171 45331491 9035920 1000000000000000000 205791020 28108371 135899180 99808118 1000000000000000000 545246530 476795953 204911523 404982278 1000000000000000000 138533307 18931796 18296342 82960983 1000000000000000000 574461062 329505562 301502695 421444220 1000000000000000000 923732482 785015986 12004621 546162297 1000000000000000000 208252700 165295014 185339006 73827963 1000000000000000000 382229794 246345929 262220301 303909244 1000000000000000000 653866355 221422102 235584527 282673981 1000000000000000000 30921102 28013657 13400248 7478876 1000000000000000000 292998525 229710263 209183699 108551362 1000000000000000000 542388139 191836712 44269304 102296866 1000000000000000000 384873819 253092091 42596894 358084663 1000000000000000000 967918848 744243485 680928627 565899677 1000000000000000000 634421473 493008684 244615857 229644024 1000000000000000000 248789092 90587901 108632120 32872426 1000000000000000000 359670916 355697588 230702269 255723643 1000000000000000000 278129772 87283518 74432001 167595417 1000000000000000000 213066492 119605288 43902306 170951677 1000000000000000000 996091050 512085031 71296307 794336426 1000000000000000000 806134872 649006764 351863731 605352881 1000000000000000000 617867618 329735880 152999274 612757668 1000000000000000000 833840495 132847081 614114798 723679274 1000000000000000000 519009299 124835427 39923558 114167718 1000000000000000000 853442969 304257133 310866 309188879 1000000000000000000 433230336 424837991 290754526 187691478 1000000000000000000 919944141 550248281 55093956 454827930 1000000000000000000 382979270 115364351 296901220 112542534 1000000000000000000 159777265 98220654 4775076 12978719 1000000000000000000 463361521 219352790 345420508 266652782 1000000000000000000 426967270 42810235 49576876 99577579 1000000000000000000 404774963 146315598 356513168 67786794 1000000000000000000 589636666 479436488 442380174 448881773 1000000000000000000 643372312 405578094 487244308 542751138 1000000000000000000 898915138 710769920 406902432 436473601 1000000000000000000 669153934 494038507 368138050 48617194 1000000000000000000 239866699 201961189 128596166 116749038 1000000000000000000 89121928 2290271 41921435 47336082 1000000000000000000 986512603 687303511 687842412 126251203 1000000000000000000 299011589 286184023 20110074 150657800 1000000000000000000 626147344 306454701 301870950 258271569 1000000000000000000 42070387 32252074 14484034 22971234 1000000000000000000 617523831 184377957 39081597 129770051 1000000000000000000 296398547 107756335 150042294 266253507 1000000000000000000 402315148 339081802 139204902 4891813 1000000000000000000 375073733 184548906 309206209 174269887 1000000000000000000 224166583 105289968 195650810 125018755 1000000000000000000 899199723 75122048 98530132 492189948 1000000000000000000 181321675 38103997 59190791 70830266 1000000000000000000 175051551 49233804 61453283 149557812 1000000000000000000 859754953 637072594 632901464 683247657 1000000000000000000 634717994 188832268 141770186 286769868 1000000000000000000 835929858 127586364 747676659 685190084 1000000000000000000 93219706 66874673 66378732 58202197 1000000000000000000 198292852 153097509 192561941 76571773 1000000000000000000 204056343 201387412 167179375 187752462 1000000000000000000 681047257 274389227 291725759 255643348 1000000000000000000 158052607 13589998 7028336 33526478 1000000000000000000 342602723 84281668 139045365 289301133 1000000000000000000 930682369 306422000 167882845 154612422 1000000000000000000 211399693 110715090 189472678 111204537 1000000000000000000 505313687 206752236 320598390 456220982 1000000000000000000 598867578 22596109 89678058 369288497 1000000000000000000 671558161 205456450 398973239 320790250 1000000000000000000 851862005 608646139 278087852 137623477 1000000000000000000 564866046 362489271 309123994 42883147 1000000000000000000 89641802 32830828 49252508 24284231 1000000000000000000 139769517 44062048 49957078 110429653 1000000000000000000 32932996 9772293 3031780 8869683 1000000000000000000 165618645 145440517 108064311 12420058 1000000000000000000 501469708 314969604 113452237 430013180 1000000000000000000 376061760 97735776 144321311 210182971 1000000000000000000 907454331 226915669 550990933 449185323 1000000000000000000 187709921 49930220 43488158 100214603 1000000000000000000 486221652 207526835 436371299 226675446 1000000000000000000 421004840 258311864 84879136 220008374 1000000000000000000 796589673 372651438 214289315 585720756 1000000000000000000 617860204 48050830 386028831 392562917 1000000000000000000 369890378 359678199 367004268 333755467 1000000000000000000 296608096 288758365 211926110 13223649 1000000000000000000 51098931 14850900 18000633 7959006 1000000000000000000 240306143 34813752 231639359 94387505 1000000000000000000 25413651 24070725 12631144 3373810 1000000000000000000 934794612 215714486 115362028 350890168 1000000000000000000 30066645 9682829 20341294 778233 1000000000000000000 669312841 368901141 194841599 414467404 1000000000000000000 576418618 491544206 348187829 5633492 1000000000000000000 406830514 306843220 346415528 208000678 1000000000000000000 41960498 20997783 12387905 11291624 1000000000000000000 797268548 641323507 392675197 660699430 1000000000000000000 959828418 190893020 317366135 5307019 1000000000000000000 205582563 10285049 65650572 89255721 1000000000000000000 385519817 291110653 161434308 170863822 1000000000000000000 680129028 32840631 154371080 142251747 1000000000000000000 46518708 28618839 32117467 43363655 1000000000000000000 243043455 235006520 178897283 3844287 1000000000000000000 118530653 66739106 75240647 6373750 1000000000000000000 521605704 124126880 414149344 320427304 1000000000000000000 464316713 268859341 64835358 455805744 1000000000000000000 218158861 192773350 204841867 90179631 1000000000000000000 731482884 499881583 292450100 172403957 1000000000000000000 997229497 624457364 865110545 809413276 1000000000000000000 811079757 772239377 501222844 728517922 1000000000000000000 364824611 37310069 25517146 189690373 1000000000000000000 618767018 193959494 583507985 291911407 1000000000000000000 50273601 5851526 38969978 9111642 1000000000000000000 925607345 214598880 378174897 217598006 1000000000000000000 325545324 241652627 178825551 145698155 1000000000000000000 722966819 660287770 400984332 667122140 1000000000000000000 972977577 923618681 77550272 140941511 1000000000000000000 343488019 171073261 332824253 60351774 1000000000000000000 491905752 60937878 197232575 222899089 1000000000000000000 574053608 268343660 273969120 431001994 1000000000000000000 793137944 341755085 342958852 174119842 1000000000000000000 647056686 73213558 31705994 98873400 1000000000000000000 614257196 167866542 298530391 566615290 1000000000000000000 351330058 71527094 66127031 98754811 1000000000000000000 641903409 140368880 326932774 243515649 1000000000000000000 298434037 149700619 189293385 269463947 1000000000000000000 962313867 623603856 857955664 132328828 1000000000000000000 62932467 22612956 41576589 36193933 1000000000000000000 500837062 14805829 73477740 469152743 1000000000000000000 422318141 353790323 78266945 312663573 1000000000000000000 844152243 224225718 63011086 598231649 1000000000000000000 351393901 14209621 268976507 48401295 1000000000000000000 635215925 587770742 211192187 419990253 1000000000000000000 330509842 318348011 173997789 293072461 1000000000000000000 407063245 309889955 361490323 90065496 1000000000000000000 979946893 703359409 520795288 883055018 1000000000000000000 881433972 174612263 435469977 237049872 1000000000000000000 540045321 509572523 223839570 49340952 1000000000000000000 818678888 175233934 236348121 681366996 1000000000000000000 883295921 631264675 107149529 443649395 1000000000000000000 44084642 9889106 29047646 33538654 1000000000000000000 605260915 87092031 242787447 196624797 1000000000000000000 269559353 97567454 215373310 35128534 1000000000000000000 275013976 248170543 6861185 149809757 1000000000000000000 686754425 611998447 30588145 680833026 1000000000000000000 393772768 369879302 209776943 236449948 1000000000000000000 9692881 6049983 8657345 6731876 1000000000000000000 506705471 66471402 414188657 211176148 1000000000000000000 143346694 115730019 21678952 139875060 1000000000000000000 99308252 51822113 73619525 25173424 1000000000000000000 759440448 177895892 342639876 174965524 1000000000000000000 305514050 117773516 259077465 170645785 1000000000000000000 728168625 20284539 382941052 304000829 1000000000000000000 452109888 144510302 117560453 118931986 1000000000000000000 593981536 61976459 367405523 591589228 1000000000000000000 566970781 486480504 224147704 42903476 1000000000000000000 855658970 423806390 556584151 784927219 1000000000000000000 440876870 260804155 293568554 226158198 1000000000000000000 75207815 10297479 9183195 54514264 1000000000000000000 728562576 631285296 97878302 382435089 1000000000000000000 489899120 283776823 260992323 459440125 1000000000000000000 270296686 228844462 151360222 35767281 1000000000000000000 563852647 457920854 544786612 380978498 1000000000000000000 158398741 28586396 80414926 154512593 1000000000000000000 58451377 22429308 28844515 20914305 1000000000000000000 995539434 464796531 174198900 54911751 1000000000000000000 271529123 38995572 43394941 233781674 1000000000000000000 586692157 15009484 72087329 556081624 1000000000000000000 852276241 35408111 78737716 548010292 1000000000000000000 865476738 83523256 664002649 534947432 1000000000000000000 360281695 82339157 300826822 328692162 1000000000000000000 400290255 185033573 345247221 364932228 1000000000000000000 165618077 70410460 2447036 150782928 1000000000000000000 971450194 903517544 97304043 23167815 1000000000000000000 674375621 383783582 62376333 248905578 1000000000000000000 97664067 44304677 83670592 11424770 1000000000000000000 698357614 631905761 12881828 4633808 1000000000000000000 383697627 95987162 367093260 2164081 1000000000000000000 603697235 561452307 476169655 14802417 1000000000000000000 864120782 706991254 18317442 203378436 1000000000000000000 980766734 318840436 293468530 300518460 1000000000000000000 738793176 195089759 443280687 679760658 1000000000000000000 755013875 248926653 49167609 673345823 1000000000000000000 788036255 435971250 72100088 438696905 1000000000000000000 708643074 349937361 397110511 543024473 1000000000000000000 993659041 844537048 482116752 718685514 1000000000000000000 794340223 603912437 548689280 162412361 1000000000000000000 797442350 343173355 650736066 480171068 1000000000000000000 446141207 167938228 292148507 110639422 1000000000000000000 935755114 668791004 206740143 267911199 1000000000000000000 81242198 29912341 35755788 34533183 1000000000000000000 662778409 648773049 111656340 207972446 1000000000000000000 933184945 410406180 475547641 164899724 1000000000000000000 271383654 76635953 243788668 158425055 1000000000000000000 108559494 93942637 16808038 42061997 1000000000000000000 13262838 428691 4673384 6449963 1000000000000000000 480687682 374274175 4265264 284129089 1000000000000000000 58628456 45112832 28361632 17988839 1000000000000000000 614085539 504351989 613322252 44655119 1000000000000000000 876641202 151136897 473865258 699555844 1000000000000000000 109025448 41341417 365097 33326286 1000000000000000000 122525085 13299834 67580734 76182242 1000000000000000000 779891304 714904534 239772368 310734656 1000000000000000000 222357711 81854721 208115428 34463776 1000000000000000000 54206540 16789267 33119353 22655398 1000000000000000000 634996405 563324826 434370891 22605918 1000000000000000000 222952008 61154091 176295671 94036037 1000000000000000000 430741214 299399731 367188245 187687555 1000000000000000000 418864545 141114402 56870880 357194140 1000000000000000000 36757575 1267269 16340904 2170186 1000000000000000000 823895331 458054786 710272168 416528020 1000000000000000000 326026333 275417461 80629632 20203510 1000000000000000000 353193007 291826356 19292957 319026699 1000000000000000000 391132776 201722525 8760478 330476560 1000000000000000000 399081547 305436507 327957609 193774345 1000000000000000000 924519039 877177851 512391485 824211850 1000000000000000000 797561616 26679892 464626331 746429126 1000000000000000000 163938646 151623896 45350811 104609735 1000000000000000000 863808844 649110691 326578298 585921576 1000000000000000000 907140422 347388295 789454856 103301158 1000000000000000000 412116407 362378065 311036760 160046123 1000000000000000000 4185898 1879309 331894 674976 1000000000000000000 898438299 354853471 393201718 204323583 1000000000000000000 462455281 176056798 256664106 295719094 1000000000000000000 877360883 368238052 271729033 430720783 1000000000000000000 533989537 144655566 70089934 253402686 1000000000000000000 272136483 145234925 96999640 67486771 1000000000000000000 170917682 7646379 54943943 157078497 1000000000000000000 557342990 210508417 263714919 310321666 1000000000000000000 239316593 118124769 87721605 180623911 1000000000000000000 700538586 61888380 612828428 628090942 1000000000000000000 195897591 83268810 169186457 101913236 1000000000000000000 654870479 112139577 380126262 520840076 1000000000000000000 356565691 71971974 107604251 354946082 1000000000000000000 362731203 287311728 124999216 18294092 1000000000000000000 930871892 394373975 338646716 31215051 1000000000000000000 704056628 418718204 507783372 623220973 1000000000000000000 929637275 654504792 885486321 515785584 1000000000000000000 779079128 569916744 605212331 281254920 1000000000000000000 29842330 11647526 20100243 16291669 1000000000000000000 21236116 16024521 11504783 16099176 1000000000000000000 414118015 412586829 89115210 55630358 1000000000000000000 816415617 694595987 772070413 373170165 1000000000000000000 773094364 79968227 117406820 117223405 1000000000000000000 531228853 79984696 270416762 313173829 1000000000000000000 199888173 101838703 85870661 187537466 1000000000000000000 34750518 15587123 2196383 22442314 1000000000000000000 429467040 177611922 88836438 167155222 1000000000000000000 375284787 365717537 329815614 328819413 1000000000000000000 151432297 72811064 119120567 12777814 1000000000000000000 294064084 87189875 84815405 103676049 1000000000000000000 920417548 171035899 851351930 490685922 1000000000000000000 982721241 73958522 974479952 661020875 1000000000000000000 396788419 321117357 360929262 164710068 1000000000000000000 441421603 244290434 120840081 335594762 1000000000000000000 400746926 254611131 139168666 215071693 1000000000000000000 924241240 76164849 716381661 255847060 1000000000000000000 743461294 203407023 431236550 345587137 1000000000000000000 634468856 157108130 170152899 340549167 1000000000000000000 182318064 19974794 138405868 95077190 1000000000000000000 652386522 41744968 201914839 178231682 1000000000000000000 421122004 398606284 395231493 335783470 1000000000000000000 737821025 265548290 91685206 456308792 1000000000000000000 396267663 252346608 148032422 87479469 1000000000000000000 803672066 539229007 3665692 766182653 1000000000000000000 709288652 421818988 116815578 169927571 1000000000000000000 285111957 102975100 35614066 76339868 1000000000000000000 857836900 137382501 385499828 518816193 1000000000000000000 822972214 462678260 22575445 498925789 1000000000000000000 43841777 41805961 12169284 451254 1000000000000000000 409035508 214392977 245816651 313924982 1000000000000000000 68086690 17882526 11745172 10304483 1000000000000000000 996696617 846014524 395841802 480846012 1000000000000000000 713553551 273224490 406045775 657705863 1000000000000000000 96654311 76775620 32989942 72672347 1000000000000000000 494677503 211287886 380807728 249199425 1000000000000000000 699912391 629403154 17512606 462078444 1000000000000000000 123796290 19841871 27318258 43110436 1000000000000000000 109238595 9725763 69002745 27846709 1000000000000000000 475201691 144325344 4809687 381124468 1000000000000000000 300076411 139347357 281863503 268595186 1000000000000000000 657692130 381443869 610739126 567661482 1000000000000000000 894820219 654779795 90415689 674889461 1000000000000000000 642518648 447461819 99210260 47503949 1000000000000000000 623412142 396615888 219084985 485766370 1000000000000000000 604554013 191383441 287856580 488176685 1000000000000000000 714648416 272511569 462274926 94439037 1000000000000000000 571706465 306239864 79747019 65110425 1000000000000000000 277935278 224921655 28714292 195367270 1000000000000000000 457049651 144883347 166870997 112988480 1000000000000000000 42249279 21268111 21630922 31114290 1000000000000000000 586098019 137690089 534922147 461548486 1000000000000000000 328253839 149338586 18238971 154176840 1000000000000000000 918687753 55958173 298853719 685551195 1000000000000000000 47912107 17586808 29278993 28898148 1000000000000000000 544540607 207527126 21723569 209722842 1000000000000000000 805145606 705824160 631301020 34993374 1000000000000000000 763993126 299107259 569865162 338551415 1000000000000000000 71643601 31014246 35398898 59232045 1000000000000000000 91836706 46979693 44923655 25382835 1000000000000000000 969324022 921453343 460649327 358785144 1000000000000000000 913139390 629858308 491870872 280774756 1000000000000000000 141194642 115335302 25341851 122633461 1000000000000000000 503281711 443505808 334083966 182983740 1000000000000000000 205060730 102232429 123769675 101258345 1000000000000000000 679513381 406064485 116568120 538306747 1000000000000000000 310584475 257702793 236995702 219538549 1000000000000000000 830772376 47338321 776434383 237010374 1000000000000000000 921766274 494582212 628972005 204807261 1000000000000000000 444309241 290681571 174866997 44885826 1000000000000000000 768056299 281702448 111473557 651116534 1000000000000000000 713732707 476562172 632340126 159577042 1000000000000000000 337495128 209437071 304169022 75565678 1000000000000000000 391501453 182458251 235183994 368528788 1000000000000000000 613959924 574471356 603340368 562261509 1000000000000000000 448710938 260941023 48242116 367295875 1000000000000000000 90539662 76530532 40643968 8160501 1000000000000000000 190763703 85784568 132661519 80924796 1000000000000000000 502359803 103310408 470021543 3642085 1000000000000000000 884337033 670578853 326728480 701949394 1000000000000000000 817045680 204917145 172413031 339734960 1000000000000000000 494648370 467894548 350998602 185566324 1000000000000000000 639978709 125281041 145348575 187018960 1000000000000000000 867373225 860746444 441081542 650206012 1000000000000000000 699635865 633848179 319333547 136863055 1000000000000000000 200438636 168170344 10262289 62224082 1000000000000000000 995639093 717751308 628264422 214525553 1000000000000000000 56912686 36588075 24857863 805603 1000000000000000000 178480730 67032361 43835828 119042549 1000000000000000000 569160826 336125627 449087543 291329564 1000000000000000000 981727537 355440440 493113473 110650361 1000000000000000000 556183010 512694049 286837569 42324518 1000000000000000000 63836377 20819307 34262329 2955921 1000000000000000000 755480357 620638443 594948351 548813270 1000000000000000000 284565789 68448234 74748187 190918464 1000000000000000000 609035831 455311111 201416457 561735619 1000000000000000000 197521673 43744308 151559064 154063942 1000000000000000000 114908050 113865792 59927548 14528250 1000000000000000000 833185342 459136900 136590126 334326948 1000000000000000000 119990599 54096102 49825268 80672364 1000000000000000000 173747935 24156 58162887 149153345 1000000000000000000 945463526 634124990 768412051 799753083 1000000000000000000 399496495 203867210 242078873 67419519 1000000000000000000 604428259 458659961 415564604 404621642 1000000000000000000 256166360 192403384 113297540 188004393 1000000000000000000 707434327 350359496 461847472 154039073 1000000000000000000 283764578 235024136 35641916 171949045 1000000000000000000 343105653 53234531 119143691 287367354 1000000000000000000 648167920 365681959 233837675 423071178 1000000000000000000 170052722 75582433 40291248 15698747 1000000000000000000 194661760 90229586 32221774 121648378 1000000000000000000 943246310 138873379 113528314 471236979 1000000000000000000 944322233 91937083 38751368 31022939 1000000000000000000 686726573 465833251 18690665 85107799 1000000000000000000 86785842 40056629 70249971 36897344 1000000000000000000 729134806 45314141 606711104 556040519 1000000000000000000 982215882 968162169 163451670 563069414 1000000000000000000 115597355 79437428 90257012 34839605 1000000000000000000 922204147 161222794 356578946 415521033 1000000000000000000 720858714 711417134 132194910 498870192 1000000000000000000 324147373 182449062 235793166 295435003 1000000000000000000 384686329 187234552 340347921 87962016 1000000000000000000 894458443 127907842 476005452 782990298 1000000000000000000 809719913 284403723 635791340 46794845 1000000000000000000 113946029 43294335 20603114 24449634 1000000000000000000 325005360 86709778 138513109 165671244 1000000000000000000 723761269 544827092 83599610 359866772 1000000000000000000 154627703 65204597 124401254 105900204 1000000000000000000 737567350 199638861 607086972 478395593 1000000000000000000 410520307 109704950 128824674 27456141 1000000000000000000 31341397 27970533 24303947 30736560 1000000000000000000 949081100 131432787 915155345 363344823 1000000000000000000 503545291 106428323 136191441 79296919 1000000000000000000 70175743 29168739 6959410 61323619 1000000000000000000 422062305 282435641 147289549 232356318 1000000000000000000 404885589 397896862 107114051 142518837 1000000000000000000 423666295 183192757 367505676 217000575 1000000000000000000 967295986 738325057 923694631 835079139 1000000000000000000 169651253 162986347 163001849 112167856 1000000000000000000 388049581 311523123 148845289 28818990 1000000000000000000 874828652 729860375 665415108 615223423 1000000000000000000 80609001 2568101 52155614 36959164 1000000000000000000 994147920 46628929 935569004 107550198 1000000000000000000 113417627 110905502 105414861 17228606 1000000000000000000 852106245 244225816 575410405 331831212 1000000000000000000 458313965 265858485 276255449 15722417 1000000000000000000 820393539 426794590 412132144 448741618 1000000000000000000 862053130 741121840 476872695 221853194 1000000000000000000 787636828 593598356 69067696 522102403 1000000000000000000 842790181 319215156 570937819 584726931 1000000000000000000 953640388 84921557 361261395 537348571 1000000000000000000 124523595 107422789 60978552 95356067 1000000000000000000 634746520 545073143 499898967 569568382 1000000000000000000 538958120 140381287 306395033 338211632 1000000000000000000 349821879 44673272 300567395 11276435 1000000000000000000 577936785 434227605 310377984 131542551 1000000000000000000 544017691 507075720 360512548 297108706 1000000000000000000 519604243 164971294 57074149 264905815 1000000000000000000 420586475 98028279 113415536 156617521 1000000000000000000 477204675 329986894 46121936 256046693 1000000000000000000 123768499 9607765 117107212 110798374 1000000000000000000 130692347 22072435 57885677 66899153 1000000000000000000 742926240 25642045 148881549 642647164 1000000000000000000 447897425 7225988 57038841 177013292 1000000000000000000 228772080 95059859 226816440 172843575 1000000000000000000 584077676 555356514 251786072 557297291 1000000000000000000 381941097 169812071 118270069 337485999 1000000000000000000 843895488 710703881 649288620 142674848 1000000000000000000 30768702 6103594 964532 15279728 1000000000000000000 45960205 42315935 26468256 40929491 1000000000000000000 440761854 8097611 423910079 260010363 1000000000000000000 270486167 69698952 186442361 217876762 1000000000000000000 874391276 637093538 378475716 385991940 1000000000000000000 888401188 31717872 71360310 574536021 1000000000000000000 533655016 238649596 125015478 277104703 1000000000000000000 713455915 553641445 111390046 425242681 1000000000000000000 708149132 228893207 367008245 30837307 1000000000000000000 479459171 136595933 72729340 450016877 1000000000000000000 335940021 201180825 333856839 179764273 1000000000000000000 764608616 736589979 189194672 704054441 1000000000000000000 750386141 27791594 457123069 205448148 1000000000000000000 369130812 232936613 105558634 286060777 1000000000000000000 137781471 135377468 22361541 130851856 1000000000000000000 107985317 13289437 3107702 94657373 1000000000000000000 384159466 193452848 374881001 77223707 1000000000000000000 751646750 587057209 375973934 424833969 1000000000000000000 231855503 23613230 222997757 92969398 1000000000000000000 716018026 350562446 294990915 387638629 1000000000000000000 418112860 174347529 51626208 138378325 1000000000000000000 417866262 85772795 397241854 24974672 1000000000000000000 285565015 214734694 130197324 277182636 1000000000000000000 741501861 535027922 534023247 337086228 1000000000000000000 396401400 265793025 339215418 209447346 1000000000000000000 349490715 39057414 104161193 116599854 1000000000000000000 387653325 288559248 100869738 311865143 1000000000000000000 842382089 793194021 833716152 602011516 1000000000000000000 50363941 35862019 43485613 44065233 1000000000000000000 579763661 493975544 44297291 251382547 1000000000000000000 536989702 477600022 226561883 475890401 1000000000000000000 14838927 3702102 12434604 12344343 1000000000000000000 396608977 233987235 197303494 395918470 1000000000000000000 741434695 232456345 553540453 111995911 1000000000000000000 53163011 34369401 20588039 17434083 1000000000000000000 390300109 134425765 89643412 330324452 1000000000000000000 650880061 446338111 457696066 44002909 1000000000000000000 733408969 222483294 630150491 677838854 1000000000000000000 299705021 202519611 215885586 151734057 1000000000000000000 425653111 254064412 250489149 116921397 1000000000000000000 825284875 222763215 124451939 496231508 1000000000000000000 960197038 615710692 300015201 609646161 1000000000000000000 473518779 249030048 46171595 426460271 1000000000000000000 471697921 343764827 345603344 123117626 1000000000000000000 467272027 84158097 32179305 138032252 1000000000000000000 149808102 54478833 45684259 122104061 1000000000000000000 559359687 24149158 337244666 485261182 1000000000000000000 708680601 391145978 219603092 51520705 1000000000000000000 350185293 317327710 194764675 275780901 1000000000000000000 515949378 389118278 126826625 482288811 1000000000000000000 845094916 202482441 649334160 407025716 1000000000000000000 714680434 61219392 196095215 45459188 1000000000000000000 392842828 234684959 32646611 175781472 1000000000000000000 302653568 273880650 83416141 256212682 1000000000000000000 648527853 25730593 404449256 188918796 1000000000000000000 174285700 103442610 8030327 41187162 1000000000000000000 245923268 180404765 731555 150309380 1000000000000000000 121295448 29581671 39785610 46310770 1000000000000000000 344438473 142858718 292882252 258889720 1000000000000000000 430993089 356773530 78298649 331941499 1000000000000000000 603017421 286606503 266028518 556792059 1000000000000000000 611214815 605982014 457402843 255775396 1000000000000000000 747585699 500719182 130137458 523844980 1000000000000000000 215143982 49437436 142156007 197439740 1000000000000000000 940863282 189447416 819961185 477502967 1000000000000000000 527040798 43372113 300385126 37125270 1000000000000000000 415383173 326580167 22093401 289163727 1000000000000000000 687875529 205210994 174771317 219070842 1000000000000000000 757230451 315059926 329287660 79901879 1000000000000000000 749753854 148774640 698297341 85975614 1000000000000000000 933421836 574258125 73086962 770605448 1000000000000000000 180890055 152146723 7577813 68237838 1000000000000000000 196790258 153980339 97413015 88966840 1000000000000000000 742073242 734389184 362045613 78672981 1000000000000000000 238309383 185982466 19347338 103738117 1000000000000000000 531060449 85427362 509051499 515169160 1000000000000000000 991586082 831682771 166812177 319743465 1000000000000000000 509022070 215657017 134767473 59761821 1000000000000000000 461053442 274733750 4998326 341547962 1000000000000000000 270553622 183880790 15603047 49660016 1000000000000000000 560771188 557377524 177572627 135325200 1000000000000000000 343230073 146698501 209132285 317276528 1000000000000000000 59194636 37880711 2120121 31102904 1000000000000000000 485055772 479753486 157016425 29541776 1000000000000000000 920811382 64264301 518650446 384676327 1000000000000000000 481232015 17326145 456054739 450379957 1000000000000000000 777827432 16591894 306566819 65118387 1000000000000000000 630715065 517725826 306971669 255629616 1000000000000000000 399464161 301482758 315943652 126819881 1000000000000000000 498424187 151490637 185699133 272621347 1000000000000000000 638808459 461120017 391360870 445447052 1000000000000000000 760325731 396271093 65273193 134418317 1000000000000000000 735078512 424481179 486751052 596673588 1000000000000000000 457653456 48043160 7511459 80991817 1000000000000000000 466430670 377627626 31970219 66060224 1000000000000000000 784040750 28979319 296133267 29889231 1000000000000000000 266143769 172636952 171228445 188623178 1000000000000000000 775660299 193524162 708751277 750413904 1000000000000000000 898497349 358940450 316971981 196356357 1000000000000000000 130831235 99216271 129427316 101085633 1000000000000000000 115419870 50402145 113319745 64923096 1000000000000000000 208618141 16564576 79094157 109118568 1000000000000000000 560746820 240513004 549701016 136008196 1000000000000000000 490554033 371944943 311118190 324261820 1000000000000000000 822353039 27733854 519570725 62099236 1000000000000000000 308341026 104109064 94787577 62363748 1000000000000000000 126545649 99246503 17095670 20949416 1000000000000000000 376393503 132665657 187022501 78203297 1000000000000000000 417088524 277413018 64528507 415389244 1000000000000000000 514689063 39832381 20907425 49764545 1000000000000000000 790522230 506183868 489331731 25598661 1000000000000000000 961792126 944587331 732219454 322473167 1000000000000000000 962094889 955159804 895822417 828278694 1000000000000000000 223412212 146260741 124024256 68689142 1000000000000000000 773567845 601205020 82911447 299374386 1000000000000000000 933546599 128181530 407343529 9618282 1000000000000000000 674056951 265188212 61526085 137699931 1000000000000000000 777731770 489726590 589919680 232860502 1000000000000000000 619140602 586138843 125654177 332271152 1000000000000000000 871684447 443432827 596278960 466689867 1000000000000000000 746121820 632657681 127053726 221424319 1000000000000000000 489934572 277125566 186660889 191550720 1000000000000000000 878129913 137832831 186955466 809153267 1000000000000000000 611735890 557969941 482856508 226991728 1000000000000000000 480721791 158379557 408653742 297080817 1000000000000000000 834525186 799774805 113036377 480369836 1000000000000000000 610075348 67418201 524314848 365384573 1000000000000000000 468249130 115721746 167800330 203609028 1000000000000000000 99176848 65833802 62675445 79874973 1000000000000000000 125423212 53341942 48041403 17164198 1000000000000000000 601683547 1982393 498233206 559898215 1000000000000000000 817220059 392828826 786525245 511048723 1000000000000000000 215663042 174605464 120663433 57807139 1000000000000000000 472799942 7750892 187811216 374676084 1000000000000000000 848715159 20356138 136287908 733524486 1000000000000000000 36473383 31238466 30902932 11738756 1000000000000000000 755218935 498495688 114236914 163930545 1000000000000000000 695616606 65174893 643858981 43082353 1000000000000000000 942466422 803305753 318775952 672931008 1000000000000000000 567745228 128104990 530985173 69537979 1000000000000000000 450318670 105345640 137111609 389491350 1000000000000000000 665850340 540172129 162895416 607173653 1000000000000000000 219732767 49232608 163114067 81186296 1000000000000000000 436960520 294305671 86514546 104785062 1000000000000000000 105973278 74028859 1691514 64088714 1000000000000000000 283931546 53651276 170675567 216117476 1000000000000000000 212353704 192531983 15021284 36939960 1000000000000000000 68429651 43000655 22306481 35766816 1000000000000000000 493725609 399616035 105194755 224661860 1000000000000000000 630621304 348811133 168531113 413315205 1000000000000000000 628976177 563709275 465517732 267978464 1000000000000000000 876415371 561015239 174649298 317747026 1000000000000000000 55371118 26813339 2485039 43749245 1000000000000000000 716329941 568411620 527657368 642575810 1000000000000000000 707119686 501018953 150040057 471413069 1000000000000000000 520554124 71787772 469535192 302967259 1000000000000000000 337293605 92473925 64060654 161220899 1000000000000000000 92582209 46435503 47160918 55037304 1000000000000000000 240378828 11875879 101425521 43052529 1000000000000000000 110865401 81299018 48851655 50986438 1000000000000000000 542870867 32958878 412022320 87359225 1000000000000000000 819052694 147924495 413343908 336280819 1000000000000000000 135403320 70532246 110768696 20929729 1000000000000000000 853003387 362121199 659171926 122305639 1000000000000000000 290331824 120237236 47360144 242696531 1000000000000000000 981634415 102780540 77977416 187936292 1000000000000000000 792883790 260033258 19455196 661898519 1000000000000000000 20459151 4805118 14072172 18663478 1000000000000000000 820601075 37499165 138617872 607978582 1000000000000000000 558650277 64381387 86987074 540973025 1000000000000000000 451953932 94918222 218846812 87445397 1000000000000000000 178006517 148952729 110980015 66621719 1000000000000000000 230725741 81603297 62667490 24677090 1000000000000000000 445656423 185760317 341484512 420808315 1000000000000000000 559271750 124171030 435334255 176228998 1000000000000000000 958047333 914547180 609936025 65054060 1000000000000000000 222060845 68946984 123660555 123735235 1000000000000000000 896339571 146275567 345606185 760298992 1000000000000000000 514351941 51076565 1833906 278387933 1000000000000000000 773906996 712597384 672767466 273128725 1000000000000000000 30332675 10492052 11268225 7304506 1000000000000000000 797740082 631203311 640849132 475146994 1000000000000000000 188987696 11589421 115864415 158282867 1000000000000000000 723110933 94455200 708482512 613790305 1000000000000000000 686344126 598720429 618259646 389553335 1000000000000000000 676705776 214599125 293621417 445022967 1000000000000000000 375907973 304889714 215438838 311031370 1000000000000000000 690510444 248987715 574691065 615280969 1000000000000000000 601476981 291786070 390669607 237728853 1000000000000000000 223832710 10239515 96959336 186358014 1000000000000000000 251917143 708066 187735117 28815971 1000000000000000000 667508341 463813783 40234502 195285862 1000000000000000000 41067887 33787827 25693226 1926854 1000000000000000000 852733386 12360855 2560871 71907251 1000000000000000000 386958209 308862119 38281784 227404782 1000000000000000000 415754908 180959266 78346917 365644949 1000000000000000000 513150532 345298787 151616413 48966548 1000000000000000000 229122291 91279134 147409396 206159919 1000000000000000000 916526728 506456137 400245582 401974533 1000000000000000000 658467724 265599278 499871871 280848322 1000000000000000000 680451098 447459057 343417754 463112199 1000000000000000000 875359104 588053885 209915882 345763094 1000000000000000000 705321947 371055130 488568352 476594553 1000000000000000000 9730451 3292509 2839348 7286209 1000000000000000000 76899167 14774836 20492262 13825484 1000000000000000000 182695511 158122047 53056947 33662182 1000000000000000000 578476658 307458945 38926988 6342032 1000000000000000000 75924436 41290109 2458401 37547544 1000000000000000000 813733679 556920434 110774337 253543533 1000000000000000000 426781203 405196453 140759546 326583377 1000000000000000000 143088263 24157615 93214572 118563150 1000000000000000000 925204140 657894198 649419642 271238226 1000000000000000000 845484057 394197861 193019412 221323396 1000000000000000000 885709436 89634492 123609852 858016019 1000000000000000000 690070652 13919349 189111111 213867069 1000000000000000000 298235863 106840107 210755523 166532089 1000000000000000000 95369496 15275077 30252669 45532520 1000000000000000000 674849211 645589692 481991951 130823280 1000000000000000000 582040595 291453820 300431166 218717448 1000000000000000000 79309550 51231310 8297022 2507826 1000000000000000000 760030896 377703597 182550915 213876925 1000000000000000000 560624177 258922233 252624508 365414935 1000000000000000000 352657144 149244339 218821535 334442856 1000000000000000000 647385501 472367012 330148925 156305671 1000000000000000000 81874356 47376238 81332248 79329369 1000000000000000000 874390059 101655972 114980913 722630074 1000000000000000000 616261713 330598723 392937726 239219579 1000000000000000000 528711778 373923124 10628035 178386495 1000000000000000000 426885458 250664911 361302658 129825327 1000000000000000000 76521278 35142298 54964210 37495700 1000000000000000000 867997040 801855687 371662908 53981562 1000000000000000000 903257650 366739148 691133251 14014706 1000000000000000000 63655357 34880804 13313029 8127522 1000000000000000000 983777177 896713518 670589623 919784057 1000000000000000000 917970311 215210243 465711153 586196613 1000000000000000000 931297216 316015021 692463850 296254789 1000000000000000000 510142081 296584574 185163551 451856103 1000000000000000000 46746109 9537458 7186342 20193497 1000000000000000000 397877037 73532331 301266596 233016875 1000000000000000000 146381142 9421063 37771777 86319011 1000000000000000000 888285661 454538151 391336688 369364725 1000000000000000000 669633665 526403590 411893343 119596103 1000000000000000000 181781644 63128870 120338024 68607107 1000000000000000000 974257262 72241155 507151506 338290086 1000000000000000000 900089511 149258770 476458877 714696070 1000000000000000000 783571449 70900464 680476360 783563050 1000000000000000000 678461464 246309178 73676579 329007468 1000000000000000000 430940756 62738893 292904571 154956402 1000000000000000000 840219823 520221345 348531685 552513332 1000000000000000000 49435232 25035425 16984685 27093522 1000000000000000000 218411317 114236885 92930069 213391599 1000000000000000000 428153693 101774864 157319661 266642770 1000000000000000000 565392783 263725662 407167990 292426432 1000000000000000000 39609834 2478229 1491813 12765768 1000000000000000000 829512932 8845516 590904440 274914167 1000000000000000000 293162396 14595932 129510533 256281788 1000000000000000000 60691543 52863311 40152928 6188711 1000000000000000000 570179524 292737997 553467387 103811660 1000000000000000000 323117076 4324479 268082835 42368303 1000000000000000000 706985594 236907702 207559829 267555586 1000000000000000000 787049160 123461190 416574270 415786242 1000000000000000000 287706314 174525881 162537235 105890283 1000000000000000000 81381930 75772874 79258096 36877880 1000000000000000000 251143677 151885438 136478593 238044281 1000000000000000000 692134424 487663783 56774855 229439112 1000000000000000000 171990206 101824972 153316494 41603065 1000000000000000000 386287713 58184136 332907097 259354531 1000000000000000000 540749194 247758342 445541727 512019259 1000000000000000000 502291635 159299971 385418426 343548247 1000000000000000000 974876545 248327274 476438028 573062108 1000000000000000000 22852724 2329955 2009018 22059469 1000000000000000000 519122802 198209550 155832130 196781270 1000000000000000000 744356377 325850816 647542969 251538239 1000000000000000000 782735391 133785446 433911632 292588519 1000000000000000000 845131078 726672780 128679804 789942211 1000000000000000000 893436840 169905741 648786518 158314002 1000000000000000000 222445090 127794596 214543876 176990614 1000000000000000000 109804603 82200233 69414248 87389716 1000000000000000000 570966914 469583107 284806981 58669864 1000000000000000000 463670540 414177217 281076370 402492414 1000000000000000000 202749129 51078011 167740321 12225444 1000000000000000000 709386913 457592156 23466726 114355910 1000000000000000000 523608178 118612190 80704117 327155920 1000000000000000000 218843061 172197088 170057670 208885598 1000000000000000000 116371730 78870966 62705530 112739075 1000000000000000000 703338646 618185419 376707767 507410744 1000000000000000000 839065797 733080508 490585804 329872544 1000000000000000000 834732201 450999008 4521302 514194518 1000000000000000000 436511235 192180678 158443679 74510958 1000000000000000000 909130933 618409688 818784074 612648675 1000000000000000000 850528632 635479591 404667126 819840481 1000000000000000000 582745231 310347156 462216341 171835620 1000000000000000000 253556413 164646524 192693095 116797845 1000000000000000000 560170425 122615753 86064767 515333700 1000000000000000000 176371391 59247986 83278326 85361824 1000000000000000000 815897245 258494761 508764036 784124109 1000000000000000000 120300021 43085167 56280922 25830591 1000000000000000000 424365828 256517434 143446940 94880802 1000000000000000000 710420511 177505381 318586288 617186803 1000000000000000000 497708498 341838769 347868414 98441166 1000000000000000000 735438065 542822211 580285446 110087481 1000000000000000000 261379567 70687981 112884453 60916142 1000000000000000000 515008320 442861707 310035061 295280666 1000000000000000000 524394054 293992372 99526822 153623564 1000000000000000000 418946771 229442006 398750530 130258874 1000000000000000000 213485533 13596799 153481945 109810690 1000000000000000000 275872889 1688378 117891906 253375898 1000000000000000000 780561013 595398973 667364237 604660398 1000000000000000000 300674428 73436483 33105713 245514441 1000000000000000000 433390590 415420999 353657182 391511525 1000000000000000000 101979790 22403532 8421471 66878592 1000000000000000000 662229877 631564362 348433695 325515559 1000000000000000000 349435932 126278133 265378689 196644901 1000000000000000000 778384384 388283772 285572288 636237772 1000000000000000000 558452013 228051803 448085400 552812735 1000000000000000000 1445951 398263 594205 972681 1000000000000000000 330439634 97030439 221002650 210503501 1000000000000000000 253239675 19690229 184852918 165998956 1000000000000000000 765600605 183917615 517136456 423267794 1000000000000000000 862330908 435582431 577501340 740480031 1000000000000000000 694965501 661161796 575000148 401681296 1000000000000000000 880881363 186531357 449905359 735334241 1000000000000000000 642718868 99563539 83175106 343873023 1000000000000000000 178312658 167739000 121315300 90784497 1000000000000000000 970462063 414197113 788541701 518678369 1000000000000000000 157858956 90349099 80149516 134206045 1000000000000000000 534816059 24252991 499395332 23757268 1000000000000000000 706109010 328175003 120482135 411409248 1000000000000000000 895598090 761312971 388445987 581356244 1000000000000000000 85388704 58753707 884714 44156355 1000000000000000000 497603418 239538507 182880581 418549937 1000000000000000000 412526249 307733757 254624789 228349546 1000000000000000000 678370535 200312773 472858310 594399227 1000000000000000000 234984185 221287829 125815359 17966663 1000000000000000000 640929520 286730818 364212404 266960159 1000000000000000000 490602932 440467195 278644483 368679029 1000000000000000000 66483668 19521989 31882937 50177634 1000000000000000000 128235488 65061828 60923853 91998834 1000000000000000000 66764207 25299372 41284117 24210249 1000000000000000000 433751423 367925231 12293734 234997138 1000000000000000000 768435314 146818913 735401510 29665217 1000000000000000000 130895354 118312246 37164789 19635748 1000000000000000000 304152761 195906138 136083507 63949968 1000000000000000000 451928739 449496039 150034099 298984850 1000000000000000000 917070487 278878319 243670726 796632682 1000000000000000000 414995624 30253528 64992592 80346224 1000000000000000000 306015778 37796261 78956836 197603748 1000000000000000000 896956135 483961541 300645905 521240660 1000000000000000000 647061889 251599717 210113660 284281267 1000000000000000000 520211217 41733452 409045256 5148954 1000000000000000000 863069411 93661742 392419823 619648750 1000000000000000000 838324067 235767875 104853063 650407322 1000000000000000000 131507242 15078392 92911901 112082690 1000000000000000000 246153486 66003553 30771523 68428583 1000000000000000000 655193821 106931590 509982203 399859570 1000000000000000000 988558157 153430686 708771977 827998728 1000000000000000000 986223175 537115623 447720203 163713826 1000000000000000000 458204539 24273907 263898225 380095123 1000000000000000000 42710157 19960359 42356155 33354072 1000000000000000000 237760919 4026041 29672618 223062839 1000000000000000000 337441985 122078911 72102791 221910570 1000000000000000000 371447259 72939580 61779051 49399165 1000000000000000000 400811758 99037318 77068145 320986104 1000000000000000000 150379258 101263445 77338642 137937375 1000000000000000000 551328903 302318673 185323051 42197502 1000000000000000000 388397875 296435662 167338967 304314855 1000000000000000000 776411135 296790278 402853361 5414183 1000000000000000000 583777799 517294226 188911870 98264632 1000000000000000000 892346666 881266480 32623731 210080479 1000000000000000000 217340935 98261247 164623863 133678450 1000000000000000000 973043050 179433047 612052844 50023331 1000000000000000000 149692529 75326322 145878714 3212711 1000000000000000000 695639627 280413628 38888708 340407740 1000000000000000000 427666702 419266313 48015127 387407341 1000000000000000000 371428797 312740114 173826834 342289535 1000000000000000000 927667138 92396260 120414824 495525291 1000000000000000000 385869936 16951058 108824964 302267157 1000000000000000000 16119157 12632110 14821791 3898136 1000000000000000000 368162525 28499236 301121222 23937387 1000000000000000000 172783357 13409063 69897168 124580114 1000000000000000000 420138668 339399318 52724917 162964810 1000000000000000000 150327372 57318452 25874364 100523229 1000000000000000000 964371519 783492289 411545445 769178913 1000000000000000000 73633300 62459782 44955107 5880969 1000000000000000000 907686559 523686107 207407904 235657526 1000000000000000000 20721458 12627691 3520868 833423 1000000000000000000 42151660 39340156 4115697 34688343 1000000000000000000 312817870 293781495 281473906 288943721 1000000000000000000 460321732 370773612 31932925 13502327 1000000000000000000 483239981 6372722 126860394 460668014 1000000000000000000 734700449 223974987 708716093 54004667 1000000000000000000 975423824 583473608 46742274 504353698 1000000000000000000 680131425 556461114 153186407 100685789 1000000000000000000 646474858 640300500 602293462 62398876 1000000000000000000 195207313 98475973 126387370 15392307 1000000000000000000 449025485 216588250 158760187 135566082 1000000000000000000 278856736 5755554 212985943 151250907 1000000000000000000 723600881 180951975 288340102 156655246 1000000000000000000 255998762 104059392 81304508 220478546 1000000000000000000 364799066 194421186 73319459 299778615 1000000000000000000 256291493 95854365 42561720 138714073 1000000000000000000 516994646 66346651 22338690 192494193 1000000000000000000 315066354 116853614 234913338 8461175 1000000000000000000 270666588 131328537 32289690 81517096 1000000000000000000 399454745 320846504 98045563 219031942 1000000000000000000 891996931 68140087 294354179 858036135 1000000000000000000 717862892 95590762 351774186 91363856 1000000000000000000 205178809 26559513 37346660 68036038 1000000000000000000 218149903 158305199 142345051 109263807 1000000000000000000 386656512 74889595 192023908 229590346 1000000000000000000 112711727 95208724 51613396 57627872 1000000000000000000 782360924 753562116 524420652 16818459 1000000000000000000 134824368 100691720 61176261 102437026 1000000000000000000 956081720 276200834 273601382 374237335 1000000000000000000 637649196 525142845 479085665 46428573 1000000000000000000 612638192 234175199 586066179 350476022 1000000000000000000 487335011 315902380 110799398 113650164 1000000000000000000 383886316 260035764 217274439 122827193 1000000000000000000 269878771 129270558 201688666 5783892 1000000000000000000 291844041 98014764 154780152 20596614 1000000000000000000 239822485 123356766 17280915 60011130 1000000000000000000 995370223 338471431 290358738 968652532 1000000000000000000 702561647 254629298 594314043 275386511 1000000000000000000 437290181 356806150 430196080 72517594 1000000000000000000 285424582 112363725 118234071 110999279 1000000000000000000 593324277 554025888 422678748 578397359 1000000000000000000 254676830 41768636 102700326 91587274 1000000000000000000 264098335 77736938 195362849 78914365 1000000000000000000 66359157 48802147 26209020 46524561 1000000000000000000 359404926 309650511 152680071 291575671 1000000000000000000 728479815 340084555 412969982 205710480 1000000000000000000 720380723 117422454 493307455 481048775 1000000000000000000 924517683 56970438 272981159 105362393 1000000000000000000 726065263 660909089 171124362 675067695 1000000000000000000 853015118 791024148 603810401 285331361 1000000000000000000 997257075 767573187 345677210 280882608 1000000000000000000 477006427 112448200 406328678 449979179 1000000000000000000 351025604 304171688 7018473 248527356 1000000000000000000 231391758 79298393 96633336 40600186 1000000000000000000 130311261 98794880 114759196 73787521 1000000000000000000 465883207 114560258 73782132 138182763 1000000000000000000 565592401 442188282 349286895 476851179 1000000000000000000 235553013 201345501 144700464 51382865 1000000000000000000 493620574 105697016 61086014 7690114 1000000000000000000 52036573 6954946 39241654 44008940 1000000000000000000 860110946 254993926 606074997 363174163 1000000000000000000 440057358 370157701 115434086 5765274 1000000000000000000 330650285 235820177 112784407 111365431 1000000000000000000 417200801 166851792 2395165 374590623 1000000000000000000 322984936 167370792 110001052 195556814 1000000000000000000 833681218 287901030 117398346 437848069 1000000000000000000 87674222 78239973 28007902 76275476 1000000000000000000 601355899 509696532 346872552 579811085 1000000000000000000 696567677 632546055 241639920 658626921 1000000000000000000 169096891 100742103 122800961 94039684 1000000000000000000 210272145 57189666 99799186 78774476 1000000000000000000 369442251 174520525 167228201 188093779 1000000000000000000 24769114 10701700 12082761 21087681 1000000000000000000 545882648 95012222 6177029 312635991 1000000000000000000 985926106 212408343 768744262 834103393 1000000000000000000 552151193 6508976 306874861 6012687 1000000000000000000 791172280 33240339 186559600 11361659 1000000000000000000 174507648 63884569 116370408 98522909 1000000000000000000 47186912 30769821 41372078 41095073 1000000000000000000 249537785 211931238 77279314 10713296 1000000000000000000 906882639 543684375 770969674 647105836 1000000000000000000 302928528 151310466 199562431 70471491 1000000000000000000 124382259 117629390 115665082 117404265 1000000000000000000 928971641 448482584 816746599 299377027 1000000000000000000 812591684 174099657 55085051 510225845 1000000000000000000 297407315 111851190 281622993 265324168 1000000000000000000 726041431 485346224 114344377 79422688 1000000000000000000 688304651 89669026 191567241 316512092 1000000000000000000 4161906 1537440 276296 1587973 1000000000000000000 272432920 81452194 217422890 163843286 1000000000000000000 14287305 9446146 10368265 9548071 1000000000000000000 38783594 11440671 18999174 32930182 1000000000000000000 53192563 20640745 48878277 11994779 1000000000000000000 917763572 130571453 381744379 200628264 1000000000000000000 992734794 38606836 702066330 745747256 1000000000000000000 288296532 34768578 29649542 139030475 1000000000000000000 863586234 281941981 466354711 676386456 1000000000000000000 476182180 64430353 146936503 450278209 1000000000000000000 823107527 785082996 23896762 302725550 1000000000000000000 448611470 423873497 271093505 182101175 1000000000000000000 812357448 141640699 185567709 246135939 1000000000000000000 662057575 166353682 425238006 158203267 1000000000000000000 563509668 341359411 484835480 51069332 1000000000000000000 137092090 2974295 76341367 81218590 1000000000000000000 721258702 233675539 516500379 436139810 1000000000000000000 729984048 658490347 603681285 710623850 1000000000000000000 348007386 13351770 227464375 225824547 1000000000000000000 733557281 133070130 496559265 152861595 1000000000000000000 847916146 546565411 845231532 281651515 1000000000000000000 262092586 74819515 207546089 258783511 1000000000000000000 915667005 378526988 385893346 516859898 1000000000000000000 263403969 93333576 197226286 92325370 1000000000000000000 881926482 829854877 123456249 430777910 1000000000000000000 508078424 486697236 74500092 10936331 1000000000000000000 654803286 611037511 144749429 50050329 1000000000000000000 229231690 9594654 107526167 129652575 1000000000000000000 373708943 169011398 167871640 96815686 1000000000000000000 263396452 36886224 127068890 59079019 1000000000000000000 294197030 208264072 275592574 127204219 1000000000000000000 762912424 62809634 699626665 330993852 1000000000000000000 797748684 332657946 702240308 316989052 1000000000000000000 995643541 502929031 736209527 706415849 1000000000000000000 612814843 46370776 551854661 54429560 1000000000000000000 636115581 447226564 609717725 632073845 1000000000000000000 849623935 235583605 504429843 353597994 1000000000000000000 237080268 226500647 186525072 165180447 1000000000000000000 489856189 407929987 424670801 255902626 1000000000000000000 893896917 325477010 523434983 435983038 1000000000000000000 669622508 579501270 480712502 409622354 1000000000000000000 125320215 112126709 105376396 37688435 1000000000000000000 89244026 43232617 2206174 77496427 1000000000000000000 893777598 20229289 442451864 887754842 1000000000000000000 212864808 17472102 27959048 148511838 1000000000000000000 121814076 67784448 25152038 31376126 1000000000000000000 207977559 153816434 181681793 111560217 1000000000000000000 395576702 288548809 155815231 13819968 1000000000000000000 667063690 88023101 456729795 265565679 1000000000000000000 375209329 58847623 364660451 323276365 1000000000000000000 397488172 130209137 294488034 212325886 1000000000000000000 529025013 486339700 416123482 254409665 1000000000000000000 752824387 98479852 664553289 141499859 1000000000000000000 28061139 1231008 23385302 18044859 1000000000000000000 991907763 580677694 445094701 876974672 1000000000000000000 523957683 173132945 341181719 474102484 1000000000000000000 980056664 599831488 78040138 28313028 1000000000000000000 345742682 55504169 300854892 99601717 1000000000000000000 209189586 179145225 66259831 203474426 1000000000000000000 942627668 628370542 231882924 644737208 1000000000000000000 722155953 640144570 229723081 432836486 1000000000000000000 757481823 490533466 54592306 457608354 1000000000000000000 138113353 94816563 135323525 118594843 1000000000000000000 525729706 302622730 22359142 407680261 1000000000000000000 297691061 114518304 96270595 274508577 1000000000000000000 855088790 213148180 592065627 550076736 1000000000000000000 124335029 100879757 80499901 116802590 1000000000000000000 655008503 576611827 439588791 383801987 1000000000000000000 168008171 161045955 145805352 54887789 1000000000000000000 348169 46658 271375 271032 1000000000000000000 307765316 271376213 276719249 248869762 1000000000000000000 680801798 340809944 580385992 379143304 1000000000000000000 70142939 136410 41087429 42003973 1000000000000000000 3497988 1273373 2861482 3024569 1000000000000000000 834633998 459866187 202749494 119845718 1000000000000000000 445905515 285668691 125467459 144007452 1000000000000000000 430439315 20773335 392320320 418151162 1000000000000000000 711289805 476163554 422923291 555956644 1000000000000000000 886420084 673656592 247839822 118873061 1000000000000000000 114805377 66892731 57468600 79818155 1000000000000000000 386440946 166866265 2443349 125823323 1000000000000000000 683759989 365301298 518880017 190224287 1000000000000000000 73421745 29911741 63804249 35827386 1000000000000000000 626076791 215816152 179533089 438024179 1000000000000000000 943390334 487705109 253757541 429203935 1000000000000000000 708383533 249904660 229156684 315257297 1000000000000000000 783863636 653089283 133097975 679905170 1000000000000000000 116531656 66403170 52399943 109580575 1000000000000000000 86840220 4747914 43584041 19436930 1000000000000000000 169973493 65734088 34174812 88142062 1000000000000000000 731151569 592380859 575685473 40714731 1000000000000000000 33304516 4274575 33207459 16501351 1000000000000000000 44951490 5469252 4068561 34493088 1000000000000000000 881667799 20891831 64904710 544595873 1000000000000000000 503811562 24179693 473401887 25144199 1000000000000000000 757927912 70017286 392090023 385652419 1000000000000000000 28886801 20717540 14642925 12019320 1000000000000000000 790987824 255908652 506054006 785174065 1000000000000000000 83380023 19017369 76064212 32582073 1000000000000000000 96514278 43092765 81432540 7744577 1000000000000000000 622778713 180265741 98247343 502398847 1000000000000000000 568724449 24809081 233397606 329610175 1000000000000000000 58112272 43410062 55288625 41971383 1000000000000000000 20729946 16194855 8206251 19651363 1000000000000000000 165282303 9412048 23192326 153945763 1000000000000000000 549434410 84879744 141866744 518808150 1000000000000000000 259309228 183993921 256817402 252918016 1000000000000000000 646923517 588699664 623477779 494520374 1000000000000000000 876474256 488270256 639721667 677303704 1000000000000000000 848029432 780399954 144832262 384687755 1000000000000000000 277578997 123638681 51355562 45418670 1000000000000000000 83801796 30512535 73881747 14957018 1000000000000000000 509994667 360952043 179886271 8409590 1000000000000000000 751529800 416009291 623680183 567591411 1000000000000000000 122671431 108370368 77408000 61299483 1000000000000000000 283816512 228679970 75612973 259349061 1000000000000000000 431151182 103443569 138082743 370397220 1000000000000000000 575928636 8962937 219674344 3813579 1000000000000000000 617783272 24159354 444078996 161923317 1000000000000000000 21115681 2133407 20122075 7499272 1000000000000000000 695945693 619266635 46565302 206712185 1000000000000000000 19287426 7343993 10189981 918949 1000000000000000000 348569038 38823026 186184705 19870819 1000000000000000000 394121877 39022019 125735911 88225414 1000000000000000000 414846436 293634685 175423292 162003085 1000000000000000000 506807767 3604482 109246773 98959483 1000000000000000000 445574452 250185509 53823288 372071631 1000000000000000000 687416697 147169928 249387295 53034150 1000000000000000000 357875567 120432814 342077571 70050398 1000000000000000000 112827574 68346467 77716944 13041396 1000000000000000000 981899366 487627743 96824161 189834197 1000000000000000000 563528185 439616106 397534060 288456986 1000000000000000000 446051495 106652341 427070819 151389342 1000000000000000000 485624891 207034299 303225877 151610587 1000000000000000000 574218376 343927611 204289853 45177832 1000000000000000000 372564144 312079882 293772035 258894605 1000000000000000000 997635446 376118454 556148830 979402301 1000000000000000000 929951389 446407607 402442237 624369750 1000000000000000000 289619504 151438793 263488605 157099728 1000000000000000000 570046963 468577813 425590712 415390921 1000000000000000000 353193400 28092703 153770834 246637678 1000000000000000000 629343051 280460509 50972827 283267159 1000000000000000000 658326613 461605606 527769842 474991107 1000000000000000000 471115771 95774903 342788557 401068561 1000000000000000000 28446072 26077014 12868947 11557067 1000000000000000000 243614629 93595839 5302438 17099889 1000000000000000000 154484962 13535390 88887549 4099524 1000000000000000000 649768345 440279616 247962968 183494253 1000000000000000000 266327755 199167926 164696506 63962036 1000000000000000000 987687 875652 708839 626007 1000000000000000000 939126198 503450036 334426572 381125996 1000000000000000000 745190832 687029548 638607075 260802380 1000000000000000000 779600938 612012810 253093234 249744977 1000000000000000000 215729410 47978301 158888198 6089585 1000000000000000000 342590311 15854322 306599536 33883262 1000000000000000000 926503972 914561738 145210504 750700586 1000000000000000000 560127581 59805731 350103533 380028106 1000000000000000000 669292778 368580667 244518088 347037871 1000000000000000000 706600989 533141258 550545230 394497844 1000000000000000000 215860148 166691562 59766498 190416419 1000000000000000000 82773522 20816158 40850281 34899456 1000000000000000000 969951872 334288310 445175719 900418055 1000000000000000000 108716906 105506834 38829766 59958069 1000000000000000000 591004401 343506565 33757976 294466861 1000000000000000000 570020157 336477796 470892433 528460967 1000000000000000000 541494981 267897852 462795221 394610923 1000000000000000000 561534510 421981797 213241004 386876821 1000000000000000000 903286666 526574463 288654153 443145858 1000000000000000000 48965267 8702403 34257099 23423284 1000000000000000000 256793278 224871390 91688713 25012842 1000000000000000000 890824037 871688451 139115390 108195679 1000000000000000000 67598586 7583761 54600519 25242889 1000000000000000000 440142893 305616835 358289070 211937432 1000000000000000000 891127902 112396497 773821434 466773876 1000000000000000000 102861146 14105199 82248329 34018301 1000000000000000000 379509611 180577025 234849349 225507801 1000000000000000000 1913462 232976 178637 976455 1000000000000000000 501983165 492884428 15406561 42830652 1000000000000000000 771738697 386886036 639652699 171958071 1000000000000000000 890053599 659685884 37265923 501463521 1000000000000000000 557150630 361415888 512020290 312525078 1000000000000000000 451274298 52295578 170262054 236871020 1000000000000000000 560383130 38324505 172971516 72511505 1000000000000000000 64010405 52405232 12468072 48291367 1000000000000000000 74431028 26029674 63734021 22677177 1000000000000000000 935481209 185520887 281510981 905762577 1000000000000000000 565125006 228469880 541070193 104474150 1000000000000000000 833704883 540113734 695162821 274836715 1000000000000000000 233485417 155412535 99488897 141049740 1000000000000000000 597805050 354390094 263274706 4361610 1000000000000000000 736630428 193562278 85327797 583961511 1000000000000000000 474841142 21857208 401478613 26254924 1000000000000000000 626519278 141280948 250851977 12934699 1000000000000000000 978446307 717914299 434888628 72899336 1000000000000000000 5041168 36823 930105 2528308 1000000000000000000 983822917 105653647 129788496 827922950 1000000000000000000 581511069 498749528 100310890 279176871 1000000000000000000 593940711 249665005 208944448 73956619 1000000000000000000 122804613 19552488 99771687 24287300 1000000000000000000 318306807 68261813 302697497 243817048 1000000000000000000 466151544 445726761 405159482 54399980 1000000000000000000 346233927 308376824 81656411 27017077 1000000000000000000 736875925 43221199 615780925 581804093 1000000000000000000 757631740 229039144 303374176 566863462 1000000000000000000 578288502 241897356 422091791 495556230 1000000000000000000 641507267 331379973 195347886 85754773 1000000000000000000 523904310 84782070 255918720 159635049 1000000000000000000 98025795 18965288 49723928 12735052 1000000000000000000 538040743 29084603 291507613 421265645 1000000000000000000 563101037 399985019 364591180 97983843 1000000000000000000 379169667 343439700 151719823 338380095 1000000000000000000 312983548 9107895 28807378 169346711 1000000000000000000 769074809 152301099 40907785 540756563 1000000000000000000 611269921 141859976 264772551 467437257 1000000000000000000 214060329 19851531 195980478 190653459 1000000000000000000 948401430 22448474 193808956 561357140 1000000000000000000 856144079 686923214 400167586 765676614 1000000000000000000 329908903 45819768 29890850 311301611 1000000000000000000 394466416 37424570 178177831 360014574 1000000000000000000 327543265 65948332 188868314 217168868 1000000000000000000 548179039 221037587 402047486 312629833 1000000000000000000 415170660 46505753 333081834 245913242 1000000000000000000 439874632 357472998 38224444 247557579 1000000000000000000 131025399 90841372 118190401 55287390 1000000000000000000 277266841 213332361 231433923 938863 1000000000000000000 303533439 227560609 270451994 20661479 1000000000000000000 243398549 241380291 86348303 241542688 1000000000000000000 68857225 6930135 49068955 34342017 1000000000000000000 376689040 117486777 224589456 73995979 1000000000000000000 38317717 34867998 38114301 23297462 1000000000000000000 135428204 65100116 124012008 66429124 1000000000000000000 50459477 2353322 27382207 9813251 1000000000000000000 149535540 55865494 113851347 53845248 1000000000000000000 332584785 226289455 31517045 38556289 1000000000000000000 106998796 8231708 23793379 34465290 1000000000000000000 724715741 688502464 645472303 112860985 1000000000000000000 183411692 161338329 142799132 23394247 1000000000000000000 470895866 79279329 59406548 368060909 1000000000000000000 96143477 90418012 30790601 69161740 1000000000000000000 867543417 234585216 238819819 643839235 1000000000000000000 7114860 1867855 5309992 3435035 1000000000000000000 388127013 140387149 115701033 283260108 1000000000000000000 490241621 26319134 418308449 452265037 1000000000000000000 111042374 66043618 6752194 89579757 1000000000000000000 544910510 28006618 23937450 418840344 1000000000000000000 967911081 712952614 45609369 65271237 1000000000000000000 101416594 88080140 60201159 33681530 1000000000000000000 890732847 452649705 63059517 761826476 1000000000000000000 178222184 4544691 48889927 97461206 1000000000000000000 363317791 190751995 109055614 296474233 1000000000000000000 840192867 437632583 827132797 363543082 1000000000000000000 884717388 675080043 649223549 770850523 1000000000000000000 14986402 1615338 11205200 4924172 1000000000000000000 874393108 670337210 312931490 117884228 1000000000000000000 606954955 590703380 546567027 433635260 1000000000000000000 141521166 67662122 63911663 71511246 1000000000000000000 924419172 848487487 138729043 855083192 1000000000000000000 475456229 442638631 192198150 269806210 1000000000000000000 709223860 140363300 626627664 625631429 1000000000000000000 304235035 211690585 74112845 58360782 1000000000000000000 348353886 174430915 279159044 310799881 1000000000000000000 673307044 305068867 413624134 117230063 1000000000000000000 266539143 251526053 227289436 38863157 1000000000000000000 522269616 380909222 31685748 269727872 1000000000000000000 139411901 107602840 125749731 34765986 1000000000000000000 115210544 2951223 8621891 84343544 1000000000000000000 514273663 46020205 125920680 417296953 1000000000000000000 192265680 144730175 29321361 140272012 1000000000000000000 610861395 603757653 72198976 178964873 1000000000000000000 630147714 612269792 361088938 165776163 1000000000000000000 110132707 88344989 8142881 102412016 1000000000000000000 429515174 261043703 403214449 137753766 1000000000000000000 729474375 680514569 464560491 419406530 1000000000000000000 66355689 17641988 17944538 31537166 1000000000000000000 209408914 66193271 38941980 94859808 1000000000000000000 896247409 22347083 138880314 574692019 1000000000000000000 409855869 10392421 124254496 108730730 1000000000000000000 437474221 302061355 154935416 388076709 1000000000000000000 519348106 450506107 11391536 117336291 1000000000000000000 362127890 127658466 361687076 251757175 1000000000000000000 817347041 85315203 109750563 560933024 1000000000000000000 504608348 464725239 111564772 448280143 1000000000000000000 889529368 415706266 455932724 366993885 1000000000000000000 3866852 3294424 1410011 306130 1000000000000000000 464056453 71958244 209528420 344667408 1000000000000000000 317455712 165962390 285787674 40679779 1000000000000000000 537539720 119807275 258985957 185844480 1000000000000000000 859847938 123618364 171917647 438962031 1000000000000000000 539414073 363358435 378266138 175435037 1000000000000000000 182855341 80361193 143768629 122478062 1000000000000000000 909204385 241925840 299122447 354992543 1000000000000000000 767551540 702636604 297641174 755683636 1000000000000000000 886052446 745227394 580078648 786302521 1000000000000000000 913487240 506169605 349342611 203324771 1000000000000000000 487337731 28311423 417963974 320732397 1000000000000000000 81181100 788443 50406142 8758527 1000000000000000000 104241914 30823941 67708957 102326639 1000000000000000000 694694042 150973301 679903247 637511408 1000000000000000000 575462066 382566134 535354819 564179994 1000000000000000000 43458559 3952847 38335724 5377116 1000000000000000000 643767271 622948430 556867824 330928289 1000000000000000000 132277465 19300380 16862093 129887063 1000000000000000000 237737177 78445257 121190703 160101371 1000000000000000000 711673937 228205780 230002895 644537262 1000000000000000000 975509475 508216896 74291300 273896977 1000000000000000000 828594243 418526083 289970966 248665817 1000000000000000000 388412207 121866960 342313197 178515297 1000000000000000000 768100250 104707789 339807049 298469182 1000000000000000000 832020682 60235622 403760171 254752225 1000000000000000000 899233930 154921061 257071523 692442918 1000000000000000000 389799296 352502459 333831082 181758564 1000000000000000000 867038442 830460795 103602211 196511318 1000000000000000000 323726961 229724509 287894861 78471523 1000000000000000000 289389969 5785495 193852054 260562958 1000000000000000000 866018663 754871321 28641405 411016996 1000000000000000000 20821353 13828122 12699450 9050928 1000000000000000000 947435162 194572032 598174120 933206252 1000000000000000000 251879451 136630822 143323809 169367626 1000000000000000000 224460786 90539414 165639020 158951172 1000000000000000000 441754492 35142906 237624752 399468067 1000000000000000000 952955356 924801651 537517034 846448094 1000000000000000000 50000317 42999222 28698195 12361176 1000000000000000000 127575586 17800394 65080492 61524780 1000000000000000000 413886467 91453878 362865865 328068388 1000000000000000000 249081723 209988349 57238790 51974358 1000000000000000000 125499257 31038098 103153703 69854601 1000000000000000000 595708857 537280373 425604038 169380222 1000000000000000000 981932616 779291908 19927036 176302914 1000000000000000000 134030800 23159092 70900166 66985933 1000000000000000000 661049523 47229882 312941050 527302296 1000000000000000000 195757289 176932693 10985063 97926989 1000000000000000000 263366913 191170379 225950532 56874383 1000000000000000000 961926821 232883018 60886430 288393681 1000000000000000000 19606858 8566083 12554938 60924 1000000000000000000 948147959 12361822 438916221 749755412 1000000000000000000 437293480 223423865 168409074 386431031 1000000000000000000 965661967 791365247 554306700 180287848 1000000000000000000 88360052 32847364 7099322 30634764 1000000000000000000 397784287 352969558 180627556 270425709 1000000000000000000 872520486 425461361 307597205 549730386 1000000000000000000 498067571 228605021 377578153 348098441 1000000000000000000 915574410 9735881 206699220 169973465 1000000000000000000 435384673 277005805 368143398 52908238 1000000000000000000 749999094 349171020 331952441 235094877 1000000000000000000 265737162 36795729 129327571 142038643 1000000000000000000 425949673 220179982 260447139 414699697 1000000000000000000 107800426 4535414 400414 38676704 1000000000000000000 158927688 36816235 151152437 48204765 1000000000000000000 565145687 283153553 23277406 448899125 1000000000000000000 617869414 33731682 346400348 569869172 1000000000000000000 423366673 287639452 197634234 239322449 1000000000000000000 849466242 177252238 630561719 335497563 1000000000000000000 151682164 111426194 93139690 103496062 1000000000000000000 638491586 294002952 12171996 258066187 1000000000000000000 920283727 833942293 853980741 47458501 1000000000000000000 974082727 128168838 351914294 31048150 1000000000000000000 296797092 190434058 170726097 70073079 1000000000000000000 780094794 278483120 481311317 29202954 1000000000000000000 127242742 43539345 94236394 106108778 1000000000000000000 505903131 72820166 221594182 383464070 1000000000000000000 472113918 25551344 110701252 436495150 1000000000000000000 97950666 11459194 43390127 225370 1000000000000000000 126016086 88574432 96036917 3715171 1000000000000000000 262381627 117460105 150646865 123886926 1000000000000000000 106557167 77047529 80042931 49700457 1000000000000000000 469733427 408656435 116304811 42722491 1000000000000000000 802849322 792279282 544280531 185173757 1000000000000000000 949566644 417077727 285239565 493858091 1000000000000000000 399836139 213827813 87155939 383644547 1000000000000000000 936043307 324273969 709471315 579673024 1000000000000000000 23426701 1551519 3683384 19506515 1000000000000000000 179076880 99055110 127276987 43164998 1000000000000000000 230816770 159700028 140104724 180578975 1000000000000000000 560614999 3220381 255226119 534503139 1000000000000000000 593701594 99214283 191930839 69404372 1000000000000000000 527544677 310746107 12197421 368240862 1000000000000000000 358394626 103137544 24811768 315225699 1000000000000000000 984250697 937320841 47554402 759898560 1000000000000000000 59135861 50268525 56262112 22744066 1000000000000000000 613146982 549429615 514170675 156171278 1000000000000000000 537386857 261903466 64630481 106982965 1000000000000000000 460644614 251768139 176230390 346104156 1000000000000000000 583069437 541473412 216896600 364106987 1000000000000000000 925585743 613424293 291033770 3843842 1000000000000000000 22697259 5712985 20877378 11943458 1000000000000000000 432181704 172507425 226238864 431959426 1000000000000000000 72086267 2081709 12574521 34276839 1000000000000000000 75793898 27658509 71246869 53862767 1000000000000000000 293664333 43038745 265863179 273205099 1000000000000000000 516907407 426552656 30161287 191277517 1000000000000000000 936674813 413872349 434306497 389806030 1000000000000000000 293029435 140096685 237156903 256933280 1000000000000000000 783370562 120992699 714415119 62874968 1000000000000000000 539830957 483778295 475553505 436944856 1000000000000000000 903936954 625248972 872899213 294225274 1000000000000000000 41002371 6803334 4277506 36351321 1000000000000000000 613017253 175248427 420172469 546659076 1000000000000000000 242546147 236349967 142516852 242104153 1000000000000000000 178275543 43019537 44809386 14521782 1000000000000000000 68686384 49860265 27080132 52366035 1000000000000000000 259905447 229043628 106581203 251610742 1000000000000000000 54809797 17594593 43941509 51518302 1000000000000000000 624607482 79132943 296423680 366126076 1000000000000000000 113821586 54435158 26511055 22908128 1000000000000000000 993493483 546297957 832302422 491035277 1000000000000000000 494110662 372419708 151963374 184610444 1000000000000000000 308050199 120644207 222496458 276706119 1000000000000000000 966358125 223022938 279505630 672007749 1000000000000000000 413031100 190779525 85417593 348895478 1000000000000000000 27064710 13609644 19597912 10015325 1000000000000000000 155309613 100869234 10393858 50024903 1000000000000000000 73516176 19797770 4152126 43443527 1000000000000000000 54186838 25998698 15347654 8468742 1000000000000000000 221157928 201036738 132549050 86935485 1000000000000000000 522756515 308253381 412967487 311340390 1000000000000000000 47798382 4944030 9817099 9131010 1000000000000000000 415792779 206758811 112586450 341904780 1000000000000000000 201795779 133899226 147362652 4965137 1000000000000000000 483155758 63870147 405692619 169029670 1000000000000000000 398077911 215507130 34400010 311351783 1000000000000000000 338651159 42141514 329459942 114324328 1000000000000000000 788961463 332239499 667316219 654695588 1000000000000000000 727296566 99218404 459600775 295885504 1000000000000000000 124986693 46308458 94957022 30871111 1000000000000000000 909583657 460481387 606573858 231182506 1000000000000000000 797963872 55821964 268294824 136954682 1000000000000000000 4406464 3574360 2924864 485832 1000000000000000000 476310172 233022945 33648313 351832982 1000000000000000000 720087925 27443804 563108500 615252542 1000000000000000000 758373284 709411325 9564266 566422371 1000000000000000000 736400049 572720701 27521020 215850571 1000000000000000000 41518761 38637078 13219200 6377511 1000000000000000000 67729569 57845204 17254204 31769271 1000000000000000000 154239792 38298683 82010647 7188949 1000000000000000000 741519867 533507212 386221812 121937164 1000000000000000000 203799119 145811150 43564509 158422881 1000000000000000000 553562986 81427329 470657031 202936991 1000000000000000000 141321195 5197291 29625815 117214168 1000000000000000000 453532918 441936948 117852481 320557866 1000000000000000000 751352929 704310087 351757956 745498215 1000000000000000000 153176531 142290882 5235037 121522754 1000000000000000000 514199830 371275702 403807912 110918597 1000000000000000000 486464853 322187801 42904570 276935192 1000000000000000000 533604081 407599468 423397661 282085594 1000000000000000000 232503510 158214259 181206836 84741871 1000000000000000000 224309348 147663726 11227970 30602735 1000000000000000000 852252859 693320669 294596566 230636884 1000000000000000000 372445334 145578568 158416941 344788538 1000000000000000000 233272830 143750213 176308908 156618488 1000000000000000000 815932878 56414766 271123261 793904044 1000000000000000000 360623798 239066838 112788432 15178453 1000000000000000000 143688210 89857499 120138175 112468075 1000000000000000000 87884036 82602172 83429640 74022632 1000000000000000000 997096370 151884532 51392354 444580450 1000000000000000000 664463656 226679661 261364437 510765399 1000000000000000000 593270904 120272520 486730365 504715132 1000000000000000000 90506570 25205950 77099289 88658785 1000000000000000000 79808340 47273493 50707656 23711320 1000000000000000000 255514035 183677373 133010740 72109400 1000000000000000000 584231835 282018231 84601870 277262322 1000000000000000000 426248291 147846844 350835624 1127602 1000000000000000000 941686693 571737150 841857489 596669158 1000000000000000000 411358664 111357737 368711349 221466922 1000000000000000000 260012408 225416769 172230175 80547806 1000000000000000000 78400357 72738560 68150809 8714723 1000000000000000000 265295347 184928286 251171848 153385300 1000000000000000000 528921182 361570479 420386004 81167673 1000000000000000000 233342055 228797300 76232807 143604265 1000000000000000000 621402204 574977181 591967309 147534437 1000000000000000000 434994163 124344971 228006290 170101664 1000000000000000000 682348775 194812912 35130914 63125709 1000000000000000000 366327667 220155000 247235057 130640335 1000000000000000000 1986983 1201611 806875 234563 1000000000000000000 609142676 606122732 167576757 32008410 1000000000000000000 391785241 10423505 67196331 236515330 1000000000000000000 915694221 331338443 592504327 67740035 1000000000000000000 508665757 10814360 273472781 118366491 1000000000000000000 882388676 617770579 19929958 441445934 1000000000000000000 887923711 456296051 544659270 50873057 1000000000000000000 415328773 31028668 307156060 343639118 1000000000000000000 537624207 434794297 150968205 424522909 1000000000000000000 61196832 44700795 59716924 9796229 1000000000000000000 888365487 653327087 885615991 259862784 1000000000000000000 291141423 73155535 145562842 253129765 1000000000000000000 916893259 237371031 423982335 668541936 1000000000000000000 711033391 595435986 536720072 510059304 1000000000000000000 388972653 208966093 11501697 142583208 1000000000000000000 118525030 107045853 24681401 100285793 1000000000000000000 410878751 74856626 340319305 246230685 1000000000000000000 62909225 21666406 49128469 14305373 1000000000000000000 18421142 10586222 6349910 2247743 1000000000000000000 437144726 407661794 120546581 12455839 1000000000000000000 710742540 602826950 364792087 568501762 1000000000000000000 557266720 460762827 72410766 244266984 1000000000000000000 555548573 275437410 245331227 249569330 1000000000000000000 206624158 144098425 156980698 46887168 1000000000000000000 575209138 433753410 39892751 140636906 1000000000000000000 777270545 488613539 388476299 423927024 1000000000000000000 498115794 254541016 336004975 479510166 1000000000000000000 497840726 496412388 297384506 169639237 1000000000000000000 987269304 339550301 964359597 364814360 1000000000000000000 958283865 596358492 512823702 752439896 1000000000000000000 885253130 875322895 596170302 791821366 1000000000000000000 369607184 60274337 273704034 186425836 1000000000000000000 400785431 127374053 225484288 68420864 1000000000000000000 626186016 173710374 179372519 413975234 1000000000000000000 197230511 11752768 189648595 140928708 1000000000000000000 859914754 642043555 535778586 184356021 1000000000000000000 872817020 763034671 796580473 824596707 1000000000000000000 316010995 136520078 54247423 32519674 1000000000000000000 478754776 67162090 473927071 79722976 1000000000000000000 80167391 74848740 79857248 58933522 1000000000000000000 643041004 324841452 239040258 557986114 1000000000000000000 817818068 217820662 605498770 115059442 1000000000000000000 576541100 519235544 121496925 544808898 1000000000000000000 147701722 62678776 61042426 124271644 1000000000000000000 528171682 253959895 438440345 246427576 1000000000000000000 428982700 108795849 324770650 363830115 1000000000000000000 865012694 823810576 490024546 171001875 1000000000000000000 931212858 342965618 492795432 444382066 1000000000000000000 607179786 470897533 98805463 206175159 1000000000000000000 682325251 287312592 651827183 115767301 1000000000000000000 25116221 3899489 11805120 14103179 1000000000000000000 771435483 538467088 587497671 312951353 1000000000000000000 191465651 30945406 165785390 114019056 1000000000000000000 555496505 31644180 155551100 12382578 1000000000000000000 47299051 29882546 2292043 3192251 1000000000000000000 882008566 320756109 272379081 119274782 1000000000000000000 652827269 141006708 622049316 315955451 1000000000000000000 442038867 131658525 72163461 240752154 1000000000000000000 792596280 96515795 139216549 252870395 1000000000000000000 929038060 885076736 282429668 3431645 1000000000000000000 638103799 367869734 44648398 543732241 1000000000000000000 290045627 103758832 123708469 176622594 1000000000000000000 278834926 81825308 216519543 194577771 1000000000000000000 552040306 535693780 144932868 146230583 1000000000000000000 130782567 42941495 2364905 47699243 1000000000000000000 618661351 284122044 495874381 281947367 1000000000000000000 219783832 41678065 137576292 66655314 1000000000000000000 714041735 458667478 42391080 214494558 1000000000000000000 621094992 154758448 537744010 338631847 1000000000000000000 922179784 655163093 417795194 567219759 1000000000000000000 65173946 32496134 44490424 64997180 1000000000000000000 569617140 156944046 445362532 135515311 1000000000000000000 78474367 58119274 39254643 35049288 1000000000000000000 966426994 690189227 79229037 600638809 1000000000000000000 187695589 97928792 110212879 153150272 1000000000000000000 483805048 282793444 218582792 316022078 1000000000000000000 315795129 213939378 178360707 101430692 1000000000000000000 661740615 342431451 224085647 584058423 1000000000000000000 2802973 352509 886493 1696024 1000000000000000000 71619016 10010087 62094292 29428985 1000000000000000000 518892402 295959278 490536564 234743570 1000000000000000000 149955134 62959495 129091260 110192106 1000000000000000000 300266824 293635511 216469056 46819774 1000000000000000000 536237014 304875673 529587014 476457749 1000000000000000000 859518965 617855275 523599810 293478795 1000000000000000000 299378168 87386757 294925046 110349581 1000000000000000000 284922080 65667632 250734263 92772884 1000000000000000000 123558699 30324426 43897747 31138848 1000000000000000000 711468765 677854411 443092173 96834386 1000000000000000000 779871217 435471351 164039974 540910370 1000000000000000000 641008446 374197497 569789534 56585327 1000000000000000000 946161248 460954053 527410801 388309536 1000000000000000000 857545882 317184865 722906976 354888754 1000000000000000000 147754755 107664411 111007497 12542926 1000000000000000000 474535151 334028865 100659771 454261585 1000000000000000000 815952370 184918965 194748234 753287053 1000000000000000000 51879731 1589000 3746261 5350806 1000000000000000000 489789653 441651144 321635772 394152778 1000000000000000000 513682119 287467631 138654414 61908469 1000000000000000000 55482604 47882694 20527532 40207851 1000000000000000000 833648120 25621933 662830983 235541500 1000000000000000000 87814351 8137933 8631716 58525640 1000000000000000000 735327678 626762993 4183127 347918408 1000000000000000000 986037234 816466012 523522636 153937705 1000000000000000000 353188930 156897168 92547621 25286275 1000000000000000000 735050305 225058259 403548823 388743156 1000000000000000000 27478519 24904052 18136068 7939906 1000000000000000000 279289423 113283509 228514967 268308057 1000000000000000000 336966890 201665127 229492370 43981004 1000000000000000000 102362060 99630697 85713944 52485578 1000000000000000000 53579362 52498801 23132167 4987305 1000000000000000000 409175083 173740297 336910037 293684716 1000000000000000000 379222400 340447385 237238156 115158960 1000000000000000000 483948433 178697869 421000131 199936154 1000000000000000000 987299790 965209311 91449104 67844058 1000000000000000000 368264994 357877244 234631143 93342360 1000000000000000000 385852225 188447231 80553209 329697843 1000000000000000000 571960182 8882899 161313794 381834406 1000000000000000000 210285851 83787747 142275273 25199704 1000000000000000000 757454479 198177569 462779346 60785161 1000000000000000000 119023379 33304280 97342183 27334584 1000000000000000000 554272432 132367398 550811882 499099355 1000000000000000000 236103855 46261290 135541616 49111932 1000000000000000000 32479592 27340845 16190659 23701762 1000000000000000000 987245507 876667986 882636461 616795642 1000000000000000000 834522185 588851556 60947876 411925161 1000000000000000000 565924084 505306045 424688749 333486688 1000000000000000000 313816814 150603150 165038147 120833924 1000000000000000000 916850331 190983050 112260499 816329358 1000000000000000000 707910808 578037665 582950595 493629934 1000000000000000000 553577249 175957851 214320610 473701648 1000000000000000000 71818713 31713856 68594815 48909849 1000000000000000000 11717204 1578063 10895641 145385 1000000000000000000 747616208 299602650 254296838 65456127 1000000000000000000 541919772 375950711 399348379 214252732 1000000000000000000 62641698 21621960 56476617 39331816 1000000000000000000 52534790 38682687 20915869 49746512 1000000000000000000 582310876 364864632 459860342 423594640 1000000000000000000 829545974 413671650 171523626 467333784 1000000000000000000 994788752 677280661 168533315 813376290 1000000000000000000 737161876 693476971 451896956 191423901 1000000000000000000 64046818 27621304 62538739 21307903 1000000000000000000 44935328 473892 31833883 42182617 1000000000000000000 406314032 7222813 99538404 151475570 1000000000000000000 602526579 343991705 292601420 394585055 1000000000000000000 918770959 262620896 645876496 917633600 1000000000000000000 387896845 209278473 246208225 79219555 1000000000000000000 116981366 43692152 8300896 5562924 1000000000000000000 122965584 88897027 4080057 11457605 1000000000000000000 840303809 672053322 611283630 107499765 1000000000000000000 894501990 551602931 212015284 84711830 1000000000000000000 307942754 30012449 61200229 167116915 1000000000000000000 525350028 173065715 345914271 486283127 1000000000000000000 518211589 405924223 213052336 155366529 1000000000000000000 12083008 1359077 4263782 4315736 1000000000000000000 989074193 713117799 633187311 246521941 1000000000000000000 726077044 395842642 151835447 272558436 1000000000000000000 557635273 544124167 275643952 307722087 1000000000000000000 806980491 377679139 557860729 429745034 1000000000000000000 628124372 125724077 466142339 540737723 1000000000000000000 21798191 4185653 17000236 13686664 1000000000000000000 673649389 410451906 510151235 372135387 1000000000000000000 76538345 64758540 14393439 52999317 1000000000000000000 240786538 101164165 18775163 68082486 1000000000000000000 878440052 667493308 144240462 662810622 1000000000000000000 609383252 229264507 386158018 549685230 1000000000000000000 148422344 84877483 61201698 143655168 1000000000000000000 39906529 19398782 37945748 21646073 1000000000000000000 230388786 127438847 159714043 93867276 1000000000000000000 968933571 562137320 900397182 963993764 1000000000000000000 105102219 4456276 16150570 89994479 1000000000000000000 443257982 436686446 158050409 297712131 1000000000000000000 182063508 84621593 78643026 172476675 1000000000000000000 885957566 130300740 507295476 318398303 1000000000000000000 280709920 135034458 197294967 134873746 1000000000000000000 884026653 462009295 381590078 127751402 1000000000000000000 881786716 576773082 332377858 667085973 1000000000000000000 338843668 47510726 201057089 78179556 1000000000000000000 959449241 526438893 710672537 106034351 1000000000000000000 295857348 90874049 122450526 236073067 1000000000000000000 777239431 451520315 435588502 28042949 1000000000000000000 587400640 405518093 32053020 68886319 1000000000000000000 596747292 46924943 552348809 267060942 1000000000000000000 583024522 453856749 554615780 444127827 1000000000000000000 710228454 439817496 122140236 233478063 1000000000000000000 427498754 219684536 273890443 254951263 1000000000000000000 994137007 634498829 936930230 635161765 1000000000000000000 423051214 411161714 20167833 41739142 1000000000000000000 733450639 556282409 296776929 240481484 1000000000000000000 778099457 286123790 642610977 626083468 1000000000000000000 523747026 87499674 359790218 365391584 1000000000000000000 923431430 604307134 33102053 142991736 1000000000000000000 538075083 105146613 261606394 488620564 1000000000000000000 799764524 63712370 65379330 465859698 1000000000000000000 424166058 187728824 99674413 402383838 1000000000000000000 314131559 214483175 151869244 271459020 1000000000000000000 476325481 175561738 342398409 463435101 1000000000000000000 247236377 175428967 160630893 20303035 1000000000000000000 829075827 418994393 593284448 469817982 1000000000000000000 103455966 90431168 28280399 37683872 1000000000000000000 883991000 30881767 869227649 747762127 1000000000000000000 623189678 372956470 454946745 310208910 1000000000000000000 88325328 83116782 64845578 52172283 1000000000000000000 914200575 494564019 89896599 631703644 1000000000000000000 250004988 213649079 36120045 246593949 1000000000000000000 781171538 634359946 79071025 620631708 1000000000000000000 75543340 32030431 29754502 10611679 1000000000000000000 238681011 63174163 186601451 119196964 1000000000000000000 91135584 20105411 68443811 70689129 1000000000000000000 296166768 275101902 284559268 234095162 1000000000000000000 276405513 163557553 184672337 48273362 1000000000000000000 613486310 364283855 598211815 555092632 1000000000000000000 283639546 11845259 144997878 241055527 1000000000000000000 854960214 465780758 515725960 609271835 1000000000000000000 409290 355350 157471 184712 1000000000000000000 854324146 43907042 160020915 552436484 1000000000000000000 753031680 456496098 408279358 76090098 1000000000000000000 46734361 37271158 39185549 46622422 1000000000000000000 38840495 27594819 27712296 36092601 1000000000000000000 964361314 190763921 748766210 780520768 1000000000000000000 99901346 71944300 57139943 89354781 1000000000000000000 620703658 97690836 320023751 403871 1000000000000000000 805986180 189506555 216185261 157739801 1000000000000000000 987557624 655457927 215190847 813426396 1000000000000000000 811495403 410593016 425140378 30746122 1000000000000000000 685069725 234639356 259208169 462433536 1000000000000000000 352526626 55606690 102678733 74432182 1000000000000000000 802641502 178247462 757235517 537968340 1000000000000000000 384072746 349150642 373112709 203316339 1000000000000000000 787326047 118767916 683630849 59984200 1000000000000000000 799104506 30100226 305201025 411350853 1000000000000000000 475587089 306494949 32819343 45005935 1000000000000000000 672354215 90281435 351740263 455539749 1000000000000000000 113207393 32778320 33044748 62788764 1000000000000000000 749743949 742209251 300902989 743323530 1000000000000000000 832621587 64089509 574735458 262772056 1000000000000000000 533690659 392658002 486804366 44030437 1000000000000000000 403041624 188360020 295300904 223615180 1000000000000000000 809451305 426358136 264764668 806774102 1000000000000000000 164679253 28187490 62878676 135150600 1000000000000000000 420281176 200620371 306253296 219719425 1000000000000000000 53219349 47604643 43715907 5896703 1000000000000000000 151318943 97586317 52095431 42462817 1000000000000000000 50029615 14435737 15236528 22716743 1000000000000000000 475501569 48695324 117068317 59102030 1000000000000000000 603148420 69901954 513905860 208358816 1000000000000000000 705546873 543126079 45719838 649297319 1000000000000000000 321729104 207032442 153409753 15676884 1000000000000000000 821855942 710886768 21022268 666230359 1000000000000000000 659393947 280283537 98482233 419448220 1000000000000000000 105545459 93907033 16375343 6065914 1000000000000000000 385145122 382695661 131474310 239540307 1000000000000000000 195040787 37106438 173682250 134904185 1000000000000000000 897593770 358834468 496193920 621708175 1000000000000000000 212212984 42151555 67792931 167669092 1000000000000000000 624027132 179582846 10017708 538517981 1000000000000000000 588284999 269737563 52363930 299722594 1000000000000000000 354825820 272139330 153269649 23299834 1000000000000000000 337315917 243248895 174649756 31969433 1000000000000000000 792029776 644017534 299300430 499482987 1000000000000000000 558573828 36690995 144384426 350208168 1000000000000000000 714586347 16665688 74769809 207670188 1000000000000000000 788729014 647490863 564875952 588116829 1000000000000000000 618712512 106024150 505661472 75010757 1000000000000000000 510445872 92842554 308256309 268485746 1000000000000000000 243660463 5633293 195245663 102526730 1000000000000000000 667762448 268793744 462038480 30687716 1000000000000000000 496763242 479425017 90519788 220718873 1000000000000000000 749344718 718267110 43376974 54521237 1000000000000000000 315785511 138643642 305307731 151682395 1000000000000000000 595907501 441749636 134714431 326844699 1000000000000000000 70472387 17594131 67299632 69124715 1000000000000000000 650147883 633924265 575911026 519156486 1000000000000000000 28273014 25252913 3797493 183718 1000000000000000000 648224315 348189864 94541319 475940536 1000000000000000000 370705375 199387347 46408478 340631558 1000000000000000000 889583032 330866431 370626686 262830184 1000000000000000000 729913623 581565908 179924424 267646796 1000000000000000000 85971339 63623215 16505215 51985443 1000000000000000000 906767289 552695816 432743762 86660835 1000000000000000000 679358059 62111823 604830005 531076877 1000000000000000000 649268023 413799530 463900553 218650795 1000000000000000000 371479336 194843313 131270450 288457299 1000000000000000000 632436109 172493064 308130652 300483486 1000000000000000000 427164209 143182993 381976828 39109861 1000000000000000000 698207264 535564388 210855359 403482064 1000000000000000000 414203964 132097662 130638989 404751443 1000000000000000000 84005545 49867746 41552991 49577088 1000000000000000000 416017183 227622221 159768141 382666125 1000000000000000000 569085008 273491625 314312547 383386002 1000000000000000000 177170781 24715473 159200037 3894052 1000000000000000000 886659096 782114007 63599320 282932566 1000000000000000000 41648149 23678272 10982338 19903471 1000000000000000000 282800374 206844700 161605872 221085022 1000000000000000000 432203587 293256045 408141033 32428287 1000000000000000000 285687386 109050568 261925833 234520327 1000000000000000000 920431748 289504746 557589993 47943589 1000000000000000000 340538751 292878308 314242850 64897619 1000000000000000000 608398767 348118793 167771681 465125947 1000000000000000000 533615306 378622124 102461388 240470421 1000000000000000000 393118935 118355751 87602503 66910627 1000000000000000000 445748693 244426259 313871884 354584764 1000000000000000000 318793826 90020087 154047067 200906148 1000000000000000000 367578209 18031796 22742499 276608403 1000000000000000000 471417283 146067087 222725167 245393823 1000000000000000000 211406651 107241318 26988524 110469185 1000000000000000000 381852585 244375031 113804349 66599356 1000000000000000000 926593126 89599607 347618083 153495038 1000000000000000000 900487593 236946922 848503939 40295717 1000000000000000000 691922136 479852312 510906804 266813512 1000000000000000000 607787173 193477676 177687327 32689530 1000000000000000000 556703696 23711418 542612275 505355895 1000000000000000000 766852663 19396166 369432957 34065991 1000000000000000000 606430783 529806375 105785984 285183847 1000000000000000000 591483408 3538938 522870397 390835431 1000000000000000000 565261516 305051032 262633666 502547643 1000000000000000000 557543919 74328150 458692034 68472882 1000000000000000000 595895891 176748068 186658881 512602235 1000000000000000000 986127081 57846482 736026034 962230146 1000000000000000000 122576248 35858984 114767392 113776898 1000000000000000000 168776231 115261919 142594535 136640533 1000000000000000000 592494666 79927259 113300552 335103422 1000000000000000000 661751500 518633612 348826725 334176047 1000000000000000000 127146268 27186145 84780335 64576674 1000000000000000000 645749132 551963333 517583881 351423526 1000000000000000000 141485090 79791073 29873278 13057174 1000000000000000000 228320470 133505003 211747911 72523871 1000000000000000000 703925955 422127413 111004259 363583721 1000000000000000000 127447928 127133381 3535552 99723988 1000000000000000000 671410372 581050936 197412909 357280054 1000000000000000000 433759817 397109010 87639407 400212237 1000000000000000000 111487171 28015377 65641269 63207191 1000000000000000000 932636594 619733122 450846656 445069788 1000000000000000000 44454222 18662807 19439771 29752674 1000000000000000000 245908486 50544607 121977867 215461823 1000000000000000000 42891782 7317151 16704046 590440 1000000000000000000 378559430 183210617 290873520 362118956 1000000000000000000 260278406 189890183 221167014 51007122 1000000000000000000 831924303 775252410 66250354 564026461 1000000000000000000 847879779 302846936 747382899 277532298 1000000000000000000 803060245 295838323 534456214 181436980 1000000000000000000 924820359 663321445 811598716 891085701 1000000000000000000 436950777 119424864 336876340 235988917 1000000000000000000 584952695 208750962 570673573 314793391 1000000000000000000 337034416 203265521 221159678 237603071 1000000000000000000 225518763 193489312 120220079 217963267 1000000000000000000 618928943 228360834 518123782 578048310 1000000000000000000 627606827 560679057 215997710 403230988 1000000000000000000 331561486 189442002 144656265 127830995 1000000000000000000 892565983 224227326 195054715 865199917 1000000000000000000 7853077 2052309 3273465 639772 1000000000000000000 551724774 246783521 124179814 438668753 1000000000000000000 812713819 472320669 602635026 622713809 1000000000000000000 834558938 725348095 269634860 790342824 1000000000000000000 608692042 149469276 491213659 502493268 1000000000000000000 488772179 338200118 129931931 475722419 1000000000000000000 700194524 160181335 394029458 609446411 1000000000000000000 3973774 2614632 2723948 2931937 1000000000000000000 737903234 615325932 96883615 14472715 1000000000000000000 78693587 36687259 70615125 62178387 1000000000000000000 631911283 537513473 449757984 16753019 1000000000000000000 656291768 596684643 299544111 509967179 1000000000000000000 802826818 747634391 728153516 99927758 1000000000000000000 469418714 22927083 71300054 446416484 1000000000000000000 1940458 156318 574575 371708 1000000000000000000 938125038 763201979 763023820 437193839 1000000000000000000 470032261 248016915 450956580 229193271 1000000000000000000 520013848 4050884 166731912 333147077 1000000000000000000 558982120 169988070 260450395 389013651 1000000000000000000 699321015 35758570 609994555 156923786 1000000000000000000 337200239 336033142 210123330 216617798 1000000000000000000 169154459 1752518 83808548 144938192 1000000000000000000 729992107 685624464 559337924 641167091 1000000000000000000 229726684 217090269 16187372 162862197 1000000000000000000 573694690 463827292 362438942 357549733 1000000000000000000 703780914 448684198 486076938 302666959 1000000000000000000 375830153 157898979 279530889 295803359 1000000000000000000 559500524 373655504 185408702 328784983 1000000000000000000 492359774 127554164 318958460 125368216 1000000000000000000 585516696 336050 562787081 108589819 1000000000000000000 201364564 171700091 24766789 77818223 1000000000000000000 319463796 145398079 263068676 168715221 1000000000000000000 123777198 53387386 29427111 88733084 1000000000000000000 626830707 417542869 396142306 366739327 1000000000000000000 169903452 128019150 67023489 146616450 1000000000000000000 348048736 332195259 1004639 328573414 1000000000000000000 531682508 260852516 346572862 52852834 1000000000000000000 773811079 100737260 656696432 59813788 1000000000000000000 107442757 64733986 29606190 82599898 1000000000000000000 352448721 129821339 163992803 319398676 1000000000000000000 740102485 500659356 493869928 260289120 1000000000000000000 209160204 62206310 114630869 162113784 1000000000000000000 420389548 246314989 371679028 299653431 1000000000000000000 947497567 487614018 64104436 271683930 1000000000000000000 271474633 121629274 12946620 204077161 1000000000000000000 977704039 861079598 24015835 181007443 1000000000000000000 815805531 808042271 347144704 467924934 1000000000000000000 651276799 88366662 445418170 371483042 1000000000000000000 979648988 798152687 401807192 430043489 1000000000000000000 954218125 273045382 802099685 347363639 1000000000000000000 533292489 150622983 202503674 219550159 1000000000000000000 191135608 37741564 84888325 19849633 1000000000000000000 806463459 685244471 504163025 303788282 1000000000000000000 842785255 361565710 476128950 796341060 1000000000000000000 831689618 321498544 451443380 769704810 1000000000000000000 773231496 167204100 425907894 208640030 1000000000000000000 755053608 22188324 709248913 85709909 1000000000000000000 563914838 443109464 375292043 200687248 1000000000000000000 36037778 359896 832204 9337786 1000000000000000000 139022122 45006255 133046286 29524708 1000000000000000000 77455907 47616500 41986129 26190065 1000000000000000000 163109174 82775786 88667623 63854606 1000000000000000000 893930006 6369319 327922462 152310922 1000000000000000000 451488265 151944836 219637967 317244108 1000000000000000000 609292316 306932676 590059723 576574551 1000000000000000000 250110382 70849945 109777941 220644957 1000000000000000000 76338178 76277932 56754520 36682345 1000000000000000000 449937203 20658716 104865124 352925248 1000000000000000000 369075329 76859888 67020530 128952983 1000000000000000000 51118846 20874109 40033191 38918411 1000000000000000000 503636028 385977065 436760565 426977052 1000000000000000000 986678236 303408121 207183094 421930342 1000000000000000000 486165556 229066291 471489147 209491405 1000000000000000000 438707958 120989250 276868712 159474690 1000000000000000000 266517992 219725420 240576444 203774114 1000000000000000000 607807777 195233696 263669795 433361973 1000000000000000000 294173773 112105538 189203099 251997132 1000000000000000000 962269638 222733166 742838003 95213058 1000000000000000000 736100169 233675778 163075810 548060559 1000000000000000000 812535909 489567970 162198390 10810709 1000000000000000000 394979124 28710733 14645395 33655646 1000000000000000000 486221003 195203836 423287488 362866944 1000000000000000000 497411298 227350819 330836689 183030203 1000000000000000000 65902571 4195074 17495545 13294719 1000000000000000000 994160499 184060831 783913745 395261599 1000000000000000000 213755732 139596278 44514376 79614984 1000000000000000000 155227065 137607621 131144687 24310847 1000000000000000000 995872570 610602197 414794500 840136720 1000000000000000000 929700888 109020454 338556873 696653467 1000000000000000000 781294319 15836874 284953198 273988540 1000000000000000000 438130930 149056329 288150421 78092745 1000000000000000000 876635135 499631968 390175475 367657818 1000000000000000000 793937705 60954641 9001787 308082729 1000000000000000000 545233070 244899965 196330996 322861476 1000000000000000000 686705041 74619673 149765314 563695917 1000000000000000000 39108556 1242483 7750622 2816036 1000000000000000000 161396854 124416679 44742707 40183006 1000000000000000000 62141483 39327287 31704322 43953611 1000000000000000000 30686920 25988779 18364639 20626367 1000000000000000000 137414498 5651838 54702170 62350430 1000000000000000000 792229313 372615798 564519013 63003723 1000000000000000000 355216310 255899847 103227656 243051400 1000000000000000000 844287532 687126850 190427582 405018833 1000000000000000000 184559703 80009544 134684849 159424469 1000000000000000000 506190549 491149168 250015353 432698235 1000000000000000000 272686683 240695525 150354270 227558170 1000000000000000000 351934890 255909956 76541626 113291748 1000000000000000000 637333297 68855500 631475884 476506922 1000000000000000000 909696978 149757323 604847327 885755993 1000000000000000000 700427026 626923526 61937405 201446288 1000000000000000000 687800855 78731145 683996828 429044912 1000000000000000000 809345227 38678288 52419466 116101262 1000000000000000000 245322930 56944556 149116951 136495607 1000000000000000000 988411847 250938683 281264379 720916483 1000000000000000000 648541102 78885506 518168682 554483700 1000000000000000000 930642277 695513059 461968831 653687860 1000000000000000000 533104244 159962086 371473501 325600909 1000000000000000000 111189522 637703 80835625 62780078 1000000000000000000 724196449 572203190 337418573 695904023 1000000000000000000 855708017 192706051 605596967 147182540 1000000000000000000 585618724 531682985 260962654 533961033 1000000000000000000 259860728 15585224 220264843 42143294 1000000000000000000 340043456 261842623 46845821 7701773 1000000000000000000 470912687 48124883 441324215 56588033 1000000000000000000 381122327 361064808 197635662 38289386 1000000000000000000 464745196 388618359 1220926 148054174 1000000000000000000 173163710 17193677 73008360 25514806 1000000000000000000 852068352 548830103 262595229 840772117 1000000000000000000 403054158 186503546 233749988 335602977 1000000000000000000 248617099 198431398 243436629 9549651 1000000000000000000 365668946 90548404 210349958 244758127 1000000000000000000 515577301 283739230 395184327 72984028 1000000000000000000 734920516 723066338 174032294 155031114 1000000000000000000 221649493 133047371 149678679 147274461 1000000000000000000 638725029 396389550 95075313 56979354 1000000000000000000 320509703 65360086 91879031 165284818 1000000000000000000 958668001 108288175 939561648 913665175 1000000000000000000 626234205 532331522 277768850 45003896 1000000000000000000 73035570 39111903 25641024 64630559 1000000000000000000 676846601 292561929 515622534 565691703 1000000000000000000 483102159 402618220 33684560 140529236 1000000000000000000 15054707 9727591 13959741 12243210 1000000000000000000 682453681 157053897 344161881 322268560 1000000000000000000 699619470 354376434 569106478 4835001 1000000000000000000 51455693 51137182 6495465 17160171 1000000000000000000 101803246 27199490 62527211 69053226 1000000000000000000 107018397 41105068 97481950 105490415 1000000000000000000 710412701 444254437 98203986 303516289 1000000000000000000 40442635 14597336 6959644 22028663 1000000000000000000 268612475 205428523 170771917 12652679 1000000000000000000 187463811 143237120 98304058 9178706 1000000000000000000 252825790 82918237 17657850 116636553 1000000000000000000 615673921 102663476 131624174 305381918 1000000000000000000 952866032 232570202 12460995 783789186 1000000000000000000 352286836 130794113 75257143 164656858 1000000000000000000 633465630 609201525 452139258 105003759 1000000000000000000 91169676 76846447 73745184 33110647 1000000000000000000 501725027 444260291 429712583 137120543 1000000000000000000 653546131 577824187 313490621 267356033 1000000000000000000 853305685 680043488 507710327 835057161 1000000000000000000 830096133 239064142 435554471 564439835 1000000000000000000 89082708 3846642 31910998 55230147 1000000000000000000 564892651 76368995 248180140 307627977 1000000000000000000 977298021 780406209 904672788 886904603 1000000000000000000 362341368 360263727 83813938 256304564 1000000000000000000 73481514 37303948 66496928 1599133 1000000000000000000 522401320 190105908 423795097 509022695 1000000000000000000 758860646 568370563 585312080 572352269 1000000000000000000 612856768 479240888 156201962 611617741 1000000000000000000 631030399 373191798 250539652 324141613 1000000000000000000 511561548 391505647 84926816 81338444 1000000000000000000 332271910 159968407 252878075 318415882 1000000000000000000 336864600 130777439 235171441 171235897 1000000000000000000 602268353 363242388 176094231 267582195 1000000000000000000 782926123 570846426 690483525 575211711 1000000000000000000 438761397 436521664 136056039 91069037 1000000000000000000 178461402 4454033 27824796 133241452 1000000000000000000 867163220 396532469 822141511 415732759 1000000000000000000 590345448 426030645 94725280 211400560 1000000000000000000 112949169 61731009 105033949 18729592 1000000000000000000 836068127 433380068 640890862 765345748 1000000000000000000 42362108 6207776 25164190 40004100 1000000000000000000 289758369 86979495 155979385 46731061 1000000000000000000 724179642 225909479 651739432 40054026 1000000000000000000 788207034 373385714 105021269 401686645 1000000000000000000 667924827 547482601 600527660 526951174 1000000000000000000 72374420 62329778 7123373 53882207 1000000000000000000 254367650 120500600 35239550 182563464 1000000000000000000 417688592 364314360 290764787 203880551 1000000000000000000 964129240 498417248 638091454 665312474 1000000000000000000 329806477 73054292 267091219 287616675 1000000000000000000 560393341 395852272 227101542 25732545 1000000000000000000 376106355 21522790 362075049 121982242 1000000000000000000 154429499 56150227 113024709 7909921 1000000000000000000 383903032 160199763 50721404 38421718 1000000000000000000 415796880 169516411 57218958 377277906 1000000000000000000 982756075 577039227 444660208 2113658 1000000000000000000 973472275 631113907 707568983 788658230 1000000000000000000 311468618 251265821 310405408 87287110 1000000000000000000 554646105 364115564 156035736 447994807 1000000000000000000 5079729 495199 149806 3618504 1000000000000000000 166410054 30699468 39798149 9882995 1000000000000000000 885863540 197607251 320791935 407533256 1000000000000000000 297210668 256263254 290926618 67256585 1000000000000000000 963449050 533821088 456474496 18679391 1000000000000000000 270111736 72204490 13836024 237509781 1000000000000000000 259702743 104897462 55780907 253330558 1000000000000000000 574497773 304339161 315953328 503011466 1000000000000000000 162768275 62901691 97907415 94943959 1000000000000000000 232554606 165077012 216506111 25416531 1000000000000000000 305519571 75761536 296388215 109664846 1000000000000000000 634613740 568222421 123017915 531573327 1000000000000000000 851093084 698247674 786430376 423289836 1000000000000000000 66293306 52757418 58221629 41221679 1000000000000000000 728753560 634356160 6093937 153289654 1000000000000000000 666357950 487712946 521356662 348943708 1000000000000000000 668884512 567796016 134247420 296772603 1000000000000000000 828323411 207360161 106566366 394938871 1000000000000000000 794101485 554110700 214496355 214860331 1000000000000000000 291304521 188091466 130869585 39951927 1000000000000000000 330180421 84725360 188542631 61398859 1000000000000000000 67660917 26698586 56582064 13615375 1000000000000000000 585501497 117550587 484303440 28778167 1000000000000000000 992442505 570305995 474095649 321890222 1000000000000000000 806339348 725003109 700682891 401902055 1000000000000000000 597614307 530050938 484035356 529360022 1000000000000000000 98002002 76000896 68730974 81354658 1000000000000000000 758300130 204249809 668661110 121813020 1000000000000000000 678632839 419759039 541807798 557999836 1000000000000000000 655079333 455600165 54497587 393442434 1000000000000000000 555762895 255801431 283259996 317842813 1000000000000000000 761944866 695045219 321883236 32670752 1000000000000000000 636217108 19993113 397844048 181908622 1000000000000000000 562693567 146548652 471122563 83384976 1000000000000000000 2164469 1708438 540498 1279148 1000000000000000000 50546863 20500752 46388493 1709188 1000000000000000000 361474630 157487707 210752853 212850870 1000000000000000000 506619840 474400268 357032716 360526193 1000000000000000000 276591760 53396677 29325025 15328239 1000000000000000000 647815378 399770793 459575901 153816400 1000000000000000000 306965376 204732332 39457593 190474420 1000000000000000000 444074325 392026231 7166069 279892472 1000000000000000000 328097658 191021978 13796215 135726517 1000000000000000000 439347737 145413838 325734213 196304026 1000000000000000000 563078668 102558686 517047366 124724091 1000000000000000000 278531828 141439227 256603152 179960526 1000000000000000000 790446620 637863159 499037800 398597717 1000000000000000000 960766548 646731001 681624898 807064105 1000000000000000000 265207663 213843738 139913959 17593562 1000000000000000000 67201752 599160 51822936 14613597 1000000000000000000 388199778 387157718 211304707 26614450 1000000000000000000 945195948 684121349 200651329 119511096 1000000000000000000 900923854 754499892 836955283 508420703 1000000000000000000 773524453 206924698 128603140 319227627 1000000000000000000 977295801 432596431 82062424 564185775 1000000000000000000 723199123 468496160 594859630 268473576 1000000000000000000 636392724 119105928 384463861 513130946 1000000000000000000 333528812 200819147 8808346 112643385 1000000000000000000 37608630 21215590 23953159 4031943 1000000000000000000 764299381 340323677 19045493 309504744 1000000000000000000 957102187 166600404 623482943 734045688 1000000000000000000 762850832 49734994 584813376 164177059 1000000000000000000 456408669 200898783 1184775 439734162 1000000000000000000 563423137 393708623 113434794 418973964 1000000000000000000 498571984 14965853 235997674 271635438 1000000000000000000 579315459 376376825 248877967 363502787 1000000000000000000 840246697 614834892 450350039 414024441 1000000000000000000 362284397 359791484 159604136 176653949 1000000000000000000 330682129 69231408 43164178 242337445 1000000000000000000 948705995 75580585 367515312 289199751 1000000000000000000 7525169 6379038 5545449 3646153 1000000000000000000 659302780 355697901 26770704 630086525 1000000000000000000 278231949 42556517 214287454 185453389 1000000000000000000 461868159 21203195 78727317 452654647 1000000000000000000 324852997 222661551 119787069 277815296 1000000000000000000 967932464 586933530 40569802 443185999 1000000000000000000 410347611 273596817 224957082 194055359 1000000000000000000 406507549 402969436 58289490 550053 1000000000000000000 225565748 216673854 42806943 146899515 1000000000000000000 246724548 48691260 231742592 79062065 1000000000000000000 579497003 577038228 512648066 444051527 1000000000000000000 789667222 222687250 695716304 594213260 1000000000000000000 48567818 33939813 5121099 17697691 1000000000000000000 185359070 126174212 31306848 134693755 1000000000000000000 853711920 114823711 494567593 327134017 1000000000000000000 126292489 21554468 42938640 116699709 1000000000000000000 497226270 106315386 394778678 323496457 1000000000000000000 224636183 133373492 72937690 50194643 1000000000000000000 863993385 522173693 552771816 705320841 1000000000000000000 683508504 412417682 587030847 73906437 1000000000000000000 191570494 2644299 147101320 153980165 1000000000000000000 10472835 2355830 5640661 5038404 1000000000000000000 431416181 142931754 197539883 414546576 1000000000000000000 8721218 8485254 4762788 926754 1000000000000000000 575099068 20648457 453277002 489555910 1000000000000000000 984496628 43851474 887173902 125913207 1000000000000000000 549004777 537825389 89602441 354550120 1000000000000000000 257023398 1360626 244808859 249469142 1000000000000000000 594649644 193823366 392933575 24424722 1000000000000000000 781760345 620005615 526200889 77376585 1000000000000000000 780278058 66863261 475161822 486991235 1000000000000000000 737652908 338782941 168865739 498343158 1000000000000000000 699627819 26969375 401411163 241515173 1000000000000000000 754856906 589334981 91064787 113646367 1000000000000000000 689777288 263390395 603246429 341255730 1000000000000000000 622263831 231929313 485984109 377011656 1000000000000000000 614299008 609924392 75565603 452854122 1000000000000000000 623695786 154259428 355853193 395040223 1000000000000000000 774360096 720282265 506828530 339561451 1000000000000000000 800462010 451533858 732554845 761394031 1000000000000000000 331965331 88980786 6011302 292395852 1000000000000000000 865187961 252636252 786642990 731576877 1000000000000000000 918938328 134171767 166971382 281686301 1000000000000000000 749352461 528467107 543389167 700621639 1000000000000000000 485516853 13192135 333559259 291938661 1000000000000000000 716805566 133453927 393971870 618236240 1000000000000000000 821869043 398005948 67296131 177715447 1000000000000000000 994186832 106245810 221394389 98781819 1000000000000000000 826471752 520449056 243561661 564030965 1000000000000000000 988001193 584421826 683293326 963876521 1000000000000000000 762374816 82343295 37414960 608621640 1000000000000000000 574528010 329294853 403240477 287036942 1000000000000000000 428230491 194666950 427626601 141107052 1000000000000000000 868813798 13987722 121750706 351496348 1000000000000000000 664652710 580193271 566176563 113394274 1000000000000000000 859419816 16778753 640777537 594066325 1000000000000000000 166013371 94597202 128007278 84315951 1000000000000000000 77447127 35345971 36194936 4113716 1000000000000000000 470242325 57587196 195678659 369762160 1000000000000000000 42105684 16477286 25992284 30200923 1000000000000000000 440226216 81679273 137970683 434482901 1000000000000000000 975511870 320955380 536014826 45452167 1000000000000000000 203771157 42729275 160318283 168495099 1000000000000000000 302293219 187401678 109019810 59943334 1000000000000000000 291607544 178492583 274123844 80737112 1000000000000000000 442502490 319577401 309590948 329737216 1000000000000000000 634498965 42145911 544637145 560130981 1000000000000000000 385703326 126419546 175810734 13192784 1000000000000000000 125491636 119844240 84866116 1292314 1000000000000000000 791838255 737060064 62316389 440977712 1000000000000000000 762894309 620098032 707589875 215975712 1000000000000000000 986432775 88191389 827533312 257884014 1000000000000000000 991576185 556956921 407323674 266021782 1000000000000000000 799927981 330737691 3016960 757179691 1000000000000000000 898128062 341798684 11339246 579866543 1000000000000000000 116366475 47213556 14883955 74933184 1000000000000000000 88015947 65145697 49033737 59991746 1000000000000000000 73468287 20726895 43660370 52709635 1000000000000000000 596071356 560093380 263740335 244854762 1000000000000000000 881781890 464255239 387598048 750805477 1000000000000000000 348729813 221892308 85529306 286620671 1000000000000000000 565013791 53638711 452976177 124309490 1000000000000000000 602933902 14875388 303381578 113318733 1000000000000000000 828219021 328778148 223606139 156421787 1000000000000000000 606277573 283759602 217333079 410918308 1000000000000000000 999091308 580511074 238617130 448781754 1000000000000000000 878995555 612221752 619855082 193465294 1000000000000000000 825488762 220144183 692936568 169910882 1000000000000000000 369062966 235358585 227975371 227769924 1000000000000000000 446585987 388571223 19394769 431081129 1000000000000000000 753273099 16137251 201194437 349103607 1000000000000000000 367196459 241487129 345839014 15093727 1000000000000000000 844734226 209586661 137364813 842957942 1000000000000000000 840672312 788049015 474349766 149976958 1000000000000000000 661348271 487307485 410421551 214330374 1000000000000000000 751450784 424326046 280292899 672310378 1000000000000000000 602119077 52363504 554062345 521494933 1000000000000000000 399146114 21564910 160992753 18695777 1000000000000000000 819407059 504189832 199919922 773057774 1000000000000000000 178745165 21901224 108204341 108229972 1000000000000000000 498048682 238129809 246631741 328086584 1000000000000000000 36926427 13286102 7094215 13072669 1000000000000000000 752834057 189346240 21554381 164190883 1000000000000000000 113269075 58333356 392893 108580819 1000000000000000000 297290404 132460735 40423577 224227428 1000000000000000000 339664052 80960632 191375646 221083922 1000000000000000000 321429806 209147504 215597267 260996917 1000000000000000000 253047824 124449640 182567965 207116084 1000000000000000000 249660143 89726260 58763048 148826080 1000000000000000000 911466536 886244234 275662667 883523852 1000000000000000000 720230674 283284801 552291794 76385481 1000000000000000000 408021176 31468527 329203020 244442692 1000000000000000000 21741883 10602724 12466820 14810452 1000000000000000000 503094641 5983062 414053470 211219995 1000000000000000000 199720556 147287262 114847551 30263654 1000000000000000000 950000218 3882771 778752817 585978312 1000000000000000000 795813553 485704797 510213495 624482862 1000000000000000000 717717921 713192076 413398557 627615742 1000000000000000000 836388925 745712859 524862684 139453837 1000000000000000000 172265072 136114944 30280563 39183015 1000000000000000000 81416495 55590390 75720735 39354000 1000000000000000000 640695419 150752603 505091347 178860902 1000000000000000000 499853892 46760187 236681773 150177298 1000000000000000000 94043996 4170594 19816978 12824719 1000000000000000000 744458232 84976941 126422863 659094616 1000000000000000000 506673204 112781254 427169945 57748431 1000000000000000000 105842523 51336015 16058041 98310589 1000000000000000000 577271365 496433336 521629599 145747768 1000000000000000000 26302037 13039440 23841349 2262632 1000000000000000000 32689960 24382584 9092392 26078347 1000000000000000000 528673908 221743891 204960504 169290577 1000000000000000000 335242688 48482384 16930891 290205645 1000000000000000000 198949917 95070193 178647269 148785350 1000000000000000000 278514696 72026203 165599848 196554271 1000000000000000000 755856545 22429132 98947292 603830171 1000000000000000000 607337507 566193627 225276159 216587463 1000000000000000000 27797859 25615544 465242 18400192 1000000000000000000 5865399 180839 539746 533823 1000000000000000000 452666135 435699446 119832610 40992123 1000000000000000000 76883031 1658578 22317531 12497936 1000000000000000000 788932608 154465098 75576518 705126133 1000000000000000000 780611887 538742405 455439717 180202062 1000000000000000000 94805855 23522178 61773923 25796768 1000000000000000000 140792215 59253517 21735804 14326362 1000000000000000000 312522160 214339256 156462486 41671101 1000000000000000000 71138 19177 53094 4674 1000000000000000000 761636736 174323721 679564797 586390173 1000000000000000000 207225132 79926522 39977531 157092908 1000000000000000000 278353112 199820777 141905184 148879922 1000000000000000000 845701363 491914339 151465291 512440266 1000000000000000000 188079115 86929538 71545614 13655968 1000000000000000000 605587214 263060882 413664531 354893801 1000000000000000000 454842499 56909427 239800744 379500433 1000000000000000000 530391005 397783057 205484188 482991482 1000000000000000000 440133926 375281133 189803407 312820084 1000000000000000000 185840506 90405788 84833498 6506983 1000000000000000000 368587697 156902438 137743557 120178626 1000000000000000000 591559308 92457249 336958131 109020808 1000000000000000000 291208706 217816018 228769556 216352113 1000000000000000000 873744084 815833136 561460806 799641910 1000000000000000000 479504540 62860354 32425991 309268298 1000000000000000000 154361622 148930278 33477471 11683108 1000000000000000000 936225526 691194764 867912869 453956558 1000000000000000000 469459201 292322219 218963701 305754863 1000000000000000000 835128498 199247634 627648137 121468241 1000000000000000000 242408312 92976063 134855823 80169345 1000000000000000000 113268337 6295884 94573194 61933582 1000000000000000000 300996893 119626117 183311657 235545461 1000000000000000000 817258656 482469530 392425412 712038342 1000000000000000000 763621093 87953152 703043330 384850744 1000000000000000000 3443857 1064153 3018642 3335801 1000000000000000000 383294742 56941220 124233690 131059123 1000000000000000000 704564329 186901660 495231145 304728578 1000000000000000000 450376348 205173308 221587100 82300882 1000000000000000000 137345864 8289999 44894420 60612884 1000000000000000000 412809978 182902124 147355928 137457490 1000000000000000000 672194105 627551545 498589415 47185443 1000000000000000000 212521457 92202466 75223878 18864803 1000000000000000000 196533142 129997368 114150460 158877338 1000000000000000000 56871654 42326779 25862104 17484049 1000000000000000000 30789682 19174566 24061072 17028799 1000000000000000000 95136442 80047653 62709126 34122557 1000000000000000000 341892295 96753143 326384781 190529794 1000000000000000000 74301796 53698024 9077676 22820402 1000000000000000000 259695181 22237927 143773522 116943615 1000000000000000000 575268143 340464887 575055741 491097902 1000000000000000000 583113197 333226038 878576 346523052 1000000000000000000 642451047 147589415 627808070 263601367 1000000000000000000 143445021 22349528 68338779 65598551 1000000000000000000 355738977 321326226 81053141 192985038 1000000000000000000 477555986 468161777 406057781 149265766 1000000000000000000 653540208 582059030 492591974 287977447 1000000000000000000 440182836 88913040 319752510 352367444 1000000000000000000 76188093 43607806 1586498 72440523 1000000000000000000 162017981 159488997 32530016 105797243 1000000000000000000 829857008 661442838 15911675 341771767 1000000000000000000 272816434 8293939 216079891 173160287 1000000000000000000 534563860 205869004 308774627 272763655 1000000000000000000 675874550 474976269 101413217 117920865 1000000000000000000 852860412 434725604 341104697 399467927 1000000000000000000 317548231 195222285 58910069 67251161 1000000000000000000 967065694 204478248 872630875 300896256 1000000000000000000 795287089 278438725 651310240 515698980 1000000000000000000 325360252 111521882 248541943 243337743 1000000000000000000 498322268 353610645 479519670 314053775 1000000000000000000 167909423 2924479 20672226 162849278 1000000000000000000 248831553 194612122 36833094 26388106 1000000000000000000 993946705 140205044 430794588 654045188 1000000000000000000 705662909 113586405 104088290 195467539 1000000000000000000 394446149 244163837 163422497 289631653 1000000000000000000 904586497 488118589 541918083 838905053 1000000000000000000 344737366 197770403 120536358 107519120 1000000000000000000 48183607 15521491 44207812 14450990 1000000000000000000 997006568 794937439 334711256 676440401 1000000000000000000 286612674 93552334 216414457 266049858 1000000000000000000 631591965 108559369 473617076 549126379 1000000000000000000 917617290 735683296 431466559 382005793 1000000000000000000 220590692 42823115 45470142 117141638 1000000000000000000 193068981 141795251 137739717 186822122 1000000000000000000 957625901 219377163 499381804 702322941 1000000000000000000 59651315 3390063 11163498 18919580 1000000000000000000 645707781 591735688 621857123 603591885 1000000000000000000 546245995 186840661 434487017 537071017 1000000000000000000 73961980 53466801 8135786 8195171 1000000000000000000 395214928 204465302 364204612 182033342 1000000000000000000 919339815 62203292 485796512 547412148