badbdeeabeaaecdadaaddbdcccacecaabbdeabbecebabdceeeebdabbcdbaadcaaeddbbacebcacebeebcadcadbdebdcdbedcdecddeabceccedbaddedaedddeadeacaedaacdaeedadebcbbebeedddeadadeaacdeeddeeeacebabdbccabdededaddcadcdedecaedaecdaabadeacdbddaddadddbbbbacbaccebdbdcbccdbecabbacdeaabcaabedcacecbdebeccadcdaeaedabeecaaeabcdbcaeadacdebaaceecdbbcedceebddbbceaabaacdccedcabdaededaebeecdceadebdaaeaeabbbebeedddcceeeceecdeacccbdecddeadececdeaceddbeeecdaebacaeeeddeceeeccbdeddccdacbaacaccacaecbcaeacbbdabedbbecddebdcdecbbbaedebbaeeabebbdcdcbdedacdcadbbbdadcbcdccdecedeacccbdbebcbacbdddbeabbaecacbabbccbcbabdcabcdadbbdedeeaaecabcbadaaddddabbebeaadbbabbaaacdbbbadcaecedeaabacbebabaeceacdaedebacbaecbadccabebeeaccbbedbaeebedeebcecddeceabadcaebbedbeacccbeeeaedcdccdcacebddaedcdaaebdaaebedbaadeadaebcaecbeaacdabaeeadbbacabdedbbcbcddccecabdebadcbcabadaedbbdacddadcbceedbceaeccbeceaddbbabeeabdecdcebbcacddbacbcdbddecdbebbdbcaaaeeedaaedddbadbeccdeedbcbcbddadebabdacaedcaebecebecdebdaedcccaaabdcaedeedcbbbabebceabaecdaedbbcdcededebadecaaedcaadbeddbdaebeddbcbeeeccaecbcceedaaccccbbaaaecebbebddecdcddaacdaedaccaeaeebbedaaadbcdaaeaddacdeabcaeccabdceaebababdebdcbcbbbcadabdccabcdaeccbbbaebdbeaeecccecbbdbabbaecdbbcebdbbdcbadeeebdececbadcdcaecccaeccbeebabdddaeaaccdbeceacecabddeeebcaeacddcedeceaeacaeeedadccdacaacbdbeadcabecbcabdbdcdcddbecbdbaeddedcaeaccacccccbedbddbbadeadbebbbaadeaccaeccbddbdddecacebdbbdddcdcaeaabaeceaecdeadbdcddaabdbceeabbeeaedeedabdccdaedccbbcddceadcddbdbdedbcdaebabdddaddddcdcbabccdcbdaaeaeecbbccbaadbedcdbbecdeecbbebedacbccbdebaedcbcbcbebabddbbabdeadaeabdaccdabdbacedcdeacbacbdcdabcedeeaaeedbbbeccdbdbbcbabecbaadabbddebecdecbababaccbbcdadadbbadecddaedccbdbbdeebcacecbaccebcbacacdceddabdeccccacdbdeeaadacbbcbecadabebaeeaaccddccecaeebddcbeabdbbaeeebdddaeabbccdaaadccaaecbbaaaaddcaecdebdcabbadcaccdbdadebcdbaecbbadeabedaabcaecaccbaddeadacadeabcabbdceebdbecbeebbeadabeeedbdebabdabaaddcedbdccebcbaecddaadcddcbaadebecaaccebabccecebcaeebccbcbbccdbdabcdecdcebaccccccecddbbeeaedaadaeebbeebccdddbacdcbdddcdcacceeaebeedecbdbccaccbabacdacdaecdadbabecaeccebaedcbcaeebbbaabaeabceebccbbacdcdeebabcabbbeaabaaeebbedbedaeeacecceaecaeabebacaceecbedbbdaccbdaabacacdaedebbbbaadaedeaabaeebbdadcebaeeecdabeabbadacbacbcdaeededbeeeacacbddbbbeebcacceedaacbaaccdedabbaccebadbcaecbcddeabadeeaccedaacecabeaaedceeddeedabaccbdbcecccaedddedecaecceaacbdaddceeacdbceecbebccdcceaaececcbeddceedaeebdceedcdcadccccbdbbdcecbdaedcccadcebcdabbcaecaaadbadcceacadcaeedaadcdaddeddbaeddedaeaadbdcacebdcbdabaaedceaceacebeeaeaeebabbecadcbabeaecbdcdeababeadbbabdebedbedeccceaebabccaeeddbddcdccddddabeeceaadadecdaeeecabbaacaaaebabedbdbecebbcbadddbdabbeceaddeecddebebebbbcecaecbbcccbccbecaaeacbeedebcaceecbcbaedeadcbcabcbadcbecdbdebddbacebacedaedcbadbbadcebddddbeaddecbdeecbeedaecaaceaceeaabbeceedbcbedcdbdccbbdeedbdbdedececcaeabbccebdcdceaeaacaeebeeacdbebcaadcbeacbdbdbcbecbdbdcbeeabdaabdbecceaadebdecbccaabaeeddaabddedeeceebdbbaeaecedccdeecacdbaadbaebbdebbedacabbddabdddbbcdacbddbecaababceeebcacdcbcccdccbeacdcdcedacbecadcdadccecacaacebdcdbdbebbdbeddaebeaaddcccaddbdebadedbceadecbacadacdbcdcacdcbcaeadababbddbdaeebbeebeaedbdbebbadccdeecbaebccbeadcaaabebaabadbbceaddbedcdbdebabdeeebbcbbaaeccccbeeccbccdadeeccacadadcccbeaebdecceedbeddcebdededdccbababebdadaaeedaccddaedbecaacdddaecddeccaeaabcedbdbeeeacbceeedeeacbcbecdbaaecdcacacdaeabdabccedbddbdbecdebcecceacadccacecdcdcbcebbbabeebbcdbccdededbaddcaccbeeeaadbabcbacbddbccbadaacddaabcbccedabddbadbcdcedccddaecbbbdbcaeaccdbcaeceadababdeecaddddaddcabedaabbacbbdbdaeaceedaadbbddcbcbeaaaeebbcbcdbdddcbaeabddcadeeacacbaeabdbadcceabeaedeacddabeceeccdaddabbdbdbceccadabcdadcacceedbabceeeebabcaddbcdedcdeaceceaedacbabbbbbdebdbdeeabdedecddccececcddaeedcaebedeeebcbcdbcedcdcaaecddabdccaeedaddadacdadcaeddcbbcbcebbbbbabecdedecbcbacbedeecbbdbeaccabedbacadaceacecbbbdbeaddaaaaadbbddeaeebadedbddcbdccdeaedceabacedcebcababcedaeaddcceadaedadbeabeaebdaadecddaeeeaacdbabbeeececcaecedbabdadbeabcdabcdeaeccccacddebbbacaccdeedeebbebdbaddeccbaaaeceedbbacaaceddaaaebbeadcbaadecbdeedeadbaeaaecabdeedbbadedecaeeccdebbedbecdcccbbebcbaaaacecccceaaebcbdbadccecaaecccedaddbdedecebaaeaceabddedaebeeaacbcecbeeacdbadbaecddeacaabbdaaddcedbeaecaaacceabaceadcccccabdcddaaccdbebcccbaaaeeeaceacbaeceaeddcdeaabbacecaabcaaceebcddcbeadbbcbcbdddbeabcdbbdaaddbcbbdbbaeabeadacdeeadbeabaabbbdbacbbeacbecdcdecbcdbaedebbaacadcadaeaeebeccccdbeebeccedeabdccbadeadbacbcddbdccdcbbddbdabaaddbedaacbadbdaedabacbdacbeacecbaaecbdeeecbaeccbebcccabdeaedbaececccdcccabacbcdbbdedaacbdbddcdeadccedaeccdeaabcaddadeceeaceeaaabaedcccccdddabebdeacaecdcdacddecbdbceabdcdaeebbdeaedabcebaedcaedeacdccdbeebadcdbabdaaeaceccceabcdcbecdaeceedbdadeeaccecdbaeddaaeebcebbebaabaacbcbecdaabccdceacbacdaaeadadcdadbdecedabbbeabaedcdbdbdaeecadbacdccbebcecadaaacecaababbbbbcedeabaedbdeaeebccddcaecddebaeaacbceaebcaacadbbeacbcddcbebbcbeadcaceeadcddbcaccababcaddadcbbdaeeeabacdecccdaaecdcbaabcaeadbadbbdbccacedaebcebeaeaadaeacaeeecbaaecadbbccdaaacdbaaecebbaecdddcdbbabeeacbccabedaabadedeccacbadacdedecacadcbeaaecadabadadbdceceebaaedcddecebdcbcccedbacceabcaedbabcddbecdbecabeaceabeddceeddbbaededdcbeccaaecdcdbaecabaeadbdaaccbeedcbedaabcbcacaedbadbadcbccdbcbbdcedbaeebbacacccdbbaeabdcceedcecbcacadedcecbeadeacecdebaaebebaeedadaccbeddccccaccdcbadaedeebaeebccebadbdccbebeaccceedadeebbdadcbcddcbecebccceccbecadacdbededbdceeabbeccabdcedcddebdebabcbbcddcabddbeccabeccccecbbcddbdccdccbecdaceadeeeacbeeeadbdaabddedababaedeceeecdbbbbabcbabbecbbcdbdbadedeccbbbcdcdbbcadabdddcedeeeededdcdeddbdaabeeeebbbacbacbdcecdbdbeaccaaddaedaeaeadebdcaebbaabeaecbbbceedcdeaebbecadcecbebdadacecbdacabdbdeaeccccccdcbcabbaabddabaeaebeeadabbbebdddaeaaaeacebaaebceaddabcdcaccdccbcadddecdaaaabacacdccacdabdadacbeadebbababaebaeddecdaedcdeebeadebeeedbdebbedaddcaddcedbacdbabbcaaedbbaabedddaabbcabcabaaecebeceaacaccededebdbbbbbcddabebebbceebaadecdaeebdbdacedeaeabbacdbebeaecaaddceaebbebaeaaddadcaadbadbcdbdbabaaaeaeeadbceebabecebaebeacccbbdecaacbbeadddbacacdcbdbceedcceaccaeaacaebbbbbdeebabceccecdecddacacedeccabbbedaadaebcdbabeaeccdceacbcdaecccbdbcbbccaddccbacbabecaadebdeacceddeaecbabeaebccdccabedbdddddabccdabcbcebdaccbbebeaecbbacbedeedbddbdcaadeeebdabdedabdecbeddccdbadadbadeeaadaccadeadcddedabeaabdcdecedcacdabacedccadccdceddaeedceecdccddcdbadbaacbccddcaaeadcadabeeacabdddabccacaccbccbcddcceaedeedecccdeaeccadceeddcdacaadcdbaaccabedcbcdabcbaaddcccbebcbeaecabeceddbcdebbecabacbbebcedbeeecaaecdeeacebbdeecceddaacbdecdedbbcbebadbbebdcecdabdedaccaaecdabcabacadbeeeecaadccaebecdedceabebbbcabbeeadcbbecabedcbbcdcdbabaadbcdbcceaeaacdccecccdaacddeabdeaacdbbcaeabdeaceebbeabdacdadcaeaaeaebececcccbcddadbbccccabbbbebadbcbdcadcbaecedaedaabbedbbeedceaeaccdebebeaddbecccebaccbebdbecdbaccceeaebaccebadcdaecbdccacddbdccaaadecceaeaaeaaeaebdadabdcceadcecadebbadaecedabbaeadbabdadebabeacaddaaddbdbbebbaebdbeedeacbbdaeaeeaeeaeebddbbaaebbaacdbabdcadabebeebededcbbaaadcdeacbdcbdccbecbababdabbccabecaaddddcbeabdcbbaaebbdedcbecaeeebeebdbadedaeebbbddeedddbebadcbeeddbddeedaedbaccccbaedaaddacbadbdbdbceaccebbccabedaddebeacacdbdbbadebaacbbcbddacbeddabdcdaabdaaedceeaeabbabadbebbcbbbdccadeaeaebecaeebdcaabecabceecccebcdabcadebbabdebaeacdbdccabddddcbabbbeeaaabcceaabbedaebddecadbcbededcdbdbbdeaddbbaedcedddaaeabeebceaceebbeeebebaeceabbadeeccecdebccbcdaebecbccdbbdaebdccdcdabccbdadbbbabdcabdceaedebccbcdbbbedbdaaedcacdeaebdddcbdcbbdbabbcdcebeadbacbdecdcebeeaeeeaaeaebdedebcbbcbaceabdcdcbacaecbdcbcdcaceebaaddeadcacddcdacbccaacabdcdbcbadcabbaceebeebbbccdaededcadacaacadaaedaaadcedbaeddeeabcccaaacbbeeaaebdbdccebebccbcbeeedaadaacaedcdebaacbbbdacdadbeabbedaedbdebbebecbbbcdababdbacdabcebbabadbeacdeccbbceaebddeaccacccecdaccedceaabacacceccdabcdaeedaecdadadcaedccdbacdcbcecbeccbacbdedcbeaeaaacbcadcceddbbdaaadceedcceacaaaebceabebbeebcceccdecbdadddeccbeddaadddeacbbbdeaceadadeeddabbabdcecbaabebcccdbedacacaccddcecbabbbdddecaabdedeadecebcdccdecabdcaaabecbbadadabadabdeebeaeeecbebeddbccdbebbeadcbecabcccbedbeacadcacadaaedeacaaaebceeedeeeceabecccbecbeebdbcbceaaaeebeaccdcabbdecdaabaedbebdcebdabaaecedaedbeaddaddaaaeaecccaccdbbadcabbadabddcaccbeebdbbdbabeeeaeadebbeeacddcbdecedbeaacaeababceeccbeebcbaceccccaadccdedcbeabbecccdddcccbeccecadecddacecceeeccbdcbdeddbbddaacacaecddcadccbcdbaeacdcdeabbbcbcabbbababacaebbaaccddecedcdaeedaabbbadcaaddcdbabebdebcaddabbccbaadcaacbebaebdaabbebacadaccadeacbcccebeadeadccaedecbbcadceeddcdcccdccddbbccdddbaddbedbddbcebbddcddaabbbdbdbadedcecaeaacabebeadbdbcebcdddbaeeeacedadebeabccbabbeddecdbbbabbecbebbdadcdacccedbebeacacbeedaaedeaeaceedceddddcadaadedaeebdcecdeacbacecabcadbeaaccaadeedecdbdcbdddaaedddaaedeceebdababbeccbedceaeddddddadbcceadeaeeeccabddebbbbbedbbbdebcbcdeababcbbcbecbebcaedecedaadbdababecdcdbdbdaccecabcdceacaccadeababdebbbeedeedcdedddbaecaddabbaccccbededaedcdbbadbaccbecdbadaeaaeebdbebbbecddedcbeadbdceaaaddadeeacdaedacdaeaccdddbacbbbbcdeccdabeedbddedbdccecdbdceebacaaebebadedbddccbaaaecdddecbbdcbcadceebccedeaeaccaeeeabddceeacadcbdccdceeceebcaeedaaceadaedecedacaeebbeaaebababdcadbabcdabddccaababeceaaaedeecddcdadaceacecbdddeecbcddbbacbaadbddaedbbeeaedbdabecbaacbbeabaeabeeaddadaeeabddaecdcdeebbdccddebcbacdaaaeabccbedaebbcebbeebeaedaeadcabdbaccaddeebdcceeebeebcbcdbaccdccdbadccedccaceeadbadcdeeacaaebaaadeadbddcbeacbcbdbadbaaebcabdbaedaaecbeddecdeeedbcecebabbadeaeacbdcdbbeeaaebaaedabdeeaebdaecdcaadeeeaedcdebedbeeaebabcadadcdeeebcaebadcebccaabeeeaccdecaabbcbedbeadddcbedeabcaacdbbdeecabcebaeeecccbaabeeeaadbedbddeacdedaeecebeeceaebcacdceccececededbeecabadcabebebedeeeadcbcccbaecbcdbaddadccccaaeeabdcbacacbaaedacbbebcedebedaabbcdbaeeacebdaacbbccabedaadcedddcdbcdbbddbceaabacbdbbeeeedaacbeaaeeebebebbadadbbcbdceadcabcdabddcabbdeceaaedcadabececcbebecaddddcaecaaeacabbcaecadebabdacbecadbcbdcadcdcccadeaebaebdaeadbbcdebccdbcbcacebeaecdcacaeaeacbbdaeaccadddacddbbbbaeabecdacbdcabdeaecadecbcbcbddcdbcdcdeaebacadabdbceceaaccecaebabbacdeadecbbebedbbddeadbaccaacbedecccbdbaaabaaacebecebbadecbcdccedcdcadeacccedacddedaacadcdcdabceccbcceedebacbbcddbdadbdeeeacbbededaededeebddeddebbaaeaaceebeddbdaaebdeadecbdbacedcdbacbbbbbbdeebdeabdeaaccdadebddabccaacadcaadaaaaaaeeeaaeeeabcdaecabaeadeeabababaaddcbbcedcacacdabbdcddadccacacadbcecdcecbdccbcbcaacbceaacadcebdbebdcaaddcbeaeacdceecacbabdddecaccaacbddbabedadcdcbeebecccddeeaaaabcdddbcceacaeebeeeddacabababcbeaeacbcabcdaecbdbdeeccbcabdebebeabebbadeebbacceddcacabdcdbacbddbbcbdaddcbabeaecccadabcbebebeebddcabddddbecebbdbeeccbeeebedeadbdceccbdbcccadbbabcecaeecedbccaaebedacaecddebbaccdabdbaaddadcdccecbaceaadacebcdadbeaddbbdadadcabbaedbbedaabeccadcccdcaddcbbadabdaabdceabbecaccbedecebbadaecccaaebeedccceeeeaaeceeaecadcbdbcdcddeacbddebcbacdedcbddbbbeaccaeaebcacdccbadaccacebdabbeeacadbeeaadbcbbedaeeeeecdabcccaaeaedbecdadaadeaeaecabcceceaeeabbdcaeeeebdbadbbcceaadacbacdecebbcaecccdbbdadbbdbceabdbebbebdcbadceddbaabbaebaeeabecbecaabcbaabddcceadedededdedddcccdaeaddcdabcbeeceedaeaacaadabbbccecbbddedeacddcabacecdcedecbebabceebbdacbbdbccdbaebdceacebacdecdcddaeecbcaeddcccaadbcddbbbdbbaddaadbdadbdddbaabbadbbdabacdbbdbacaebacdadbeeccdbaeaeecbdcccecbbceaedbcdccdccbccadcbcaceeccccbabcbdecebdddabaaacedeaacedbdbeaedecdbdaedbbbdadbdaedacaeebacadbecccabbacbbcaeeeebadeecdaccedbdecebdaebaadcbeccecebdedcdedbbabacaaebbcdedbbddccecaccdcbebcabbbcbcaceadbdcbdeaddcdaeabbdabcadaddacdbcdbddeedcceebeddeabdcebacdbbedbbdecaacddacbccdeacbaebabccbbbbddddcceccebebaabbeaeecceedccdbcdbebcebadeadadadbbcdaecaddcdedcebbdadaebaeecbbceccaedeebaeaceecabaeeadaeabccecbaeeaedbbbcebebadeddadecddaececdcebeecbccebbcebddbcdedbdbedbebbbeeadcbbbdeddcaaedcadbeadeddaaeaebccccaabdbcadddacbcaeebbababedaeedbecbbaaceadabeaebeadaddeddabacbadccebabbeabbabaddeedceaadcebebaaeecabececedaecceaceccaccbebbcabdbdbbbaedcebbaaedabbeebeacbdabcceedcaebebbebbceacebddacebeeabedacdcbeeacdaccdabbdceceaccbbeaaedbaaaaccbeedccdaaddaeeedddeecbabcdbdbacabcddcadadadeecbacdacbeddadabacbebececcecedbeccdddeaeaaebcdeddbbecccaacabdcbebccdbcdbcabdcbeaacccacebeadebeaebacaeecbaeddeddaabdecbcdcbcbebececbddaeaedcabcddbeddedcdacdcebccdaebbdbadadebddeeaededbecdaecbceceebaadcacaeeecdcaaadadbeccbaddcabcacbabebcbeaedcbcacbebbebaecbdbaadecedbadcbaadaecbcacedceecabecedaddadbcaaddbceebddebbeceeccccabbcbdaaeebaccaeabeebebabeabaaecbcddeceeccdabbedacaceacaebecdadccaeebdbabcbbdbaadbedecabedddeacdedcbbbbdadccddbbecdaaabbdecccdbaadcceaeadabcdbbeeacdbcacbecbaacacaebbbdaaecdaeacbdbcbbccacbdeccedcebeabadcdcccdeabebaaabbbdaecabdbbedbdeaadbccdeebadebcdcdbbacbeccceccaededecaebdccbcdccabeabddecaaebbddcaacdcbabdeeddebbbbeabcbcbacebaebebbaeeedceadaebcdedeeecaabebbeaeaeaeeacecbeaedeaeebeabaeedccabebcbeeebebcbeceaeeaeeaacdacbdbbdaceaeaadedabbcbcaadbceacaceabcbbdeedbccebbeaecedcedceacadaeacaaaacbeddeddddbcbbdabbeadacaeebdaceaddaccadceedaaedeabbaeddadbaebaabbbcdedaaadbbeaddebaedcedeeebcaccecbadddedcabaeeaccccdeccecdeeecadeedaaecdededdeeccabeeeaebacccbdcceccebcacdcadceeddcdeceebdceebdbceacebbccabbbaadbbcdbadacbadededdabaaaddddbcddccecdebeccbcdcbdbcaceeebdbbccddabddcedbaecbedaedcdddebedcbdebebebeecbaaabdcacbaabaaaeaeacbbaecbaddbaeeededecdecceacbacccacdaddbadeecadeaccaeddaebaceababebcebaacaabecddacbaadaadcdadcceeacbeebbeedbdbcaeceaeadeedccabbdbbeeeacbdbcaebcdecccdacddeaebecbeaedeeecacacdeebacabcdcbaacbcaeabbdbdabcecaabdabecbddbaabaceedbadabdaeebecbceeaadebdbbadabbbaccadeadedbdebabcccbbbeabddccdcaaedeabbbeccdcebdabbdeeebbcbacadccbdeeccdbcaedabadebcdeaaaeccbcacecdabcaccccddeacccddacdeaabceececbdeeabbcbccbecaebcdbdbdbcdddbdedaeddddebadcccdeeddaceeedbbdcecbcbceadaaedcbbebccbedbebeadcabbbcbdecaccedcaceadeaebadaacbdbecaabebbbccdbcdebbcacedbbedceeadebcdaccaceadedcdbeccdeacbceaadaedddbbcdababdaddaebacbaadaecbcbcbeeeaddcaebadbadadaababbbbdbaddeecdbbddbdedabbbcbebdaabcccceddceeabbbadcebebeaabeacbbbabdcbbdddacccaebbabbaeddaceeeebcaccaabbbeabebaecadeabbddcddddeaedcccedeeaccedbdcccaaacedbeacaddccaadbcbdabecddabaeaccaaccacbdaadacacdddbdcdbeabbebaedaaeeaadbdaaccdaabecdeeacadabeeebedbddedebdbeceeadbdccccadebcbeeeaeacbcabcaecbabaecdeeedbdbedeedbcbceabceacbbdaadaeccdcaecdeccaebcbbbadbdaccbecacdbdbbccbedeebcbbedbdcaabcacbbcabeeeebbeccddeceeebdcccbadcbccecbcdddcabcddcdadaacdaacbabadccbaeabccaeebcaacebecbdbecabcacaebbeeeaceebbbccacbabdeeccdddeacaaeddaadadcabaecbcbccdcabbeeddebdeeacecccdbbbbcaedbaccaeeabdcddcdebdbcbbebbcabeadcbdadadaaeddbbdabeacaccbabccdcaeadacaaaadcacaaabecbadadcbceeddcceacbeadaabeadccccadeebbeebceeccbeadddaacececbcbaecacbebacaecccbbaadaaaaddceeddaedabbcddcaebbaebbcedbbeacacdddbedadacdccaeeaceeeddacbcabddcbcdeeedcadceedbaabcdecbeeeedcdeadaacdddadaeaadcdaeabbcecedcbbbeeadddadadadadeabcccbecdbdaebaccecebdddaccdbeebebebbacdcbbbbecdbebcbedbccdabbcecaedddeecbcebcecbcabdabdeadbcacccecbeddccecccadcbeaeddedbeebaeacabbdedcdcecbabeeabeeedccbaabacbdeccccdbeeccbeccbeececbabacbeaabeddecaadadaedcaeaeedccbeaddebdceccdccceccdbabbdaedcbbcaadeceaabaacbdccdaabbecdbcdbebbcbeaabdcbebccaebeccddbabbaeaacddadddbddebcbcadeccaecedcbababeceeedaaebdebddaabbccdcccabbaaecedacedbdedcaaecbeeaadbedbaedaabbdbbaececbeccabcecdcddaacbebadabdcaebccaabbeebdaaceebddbaeeaadadaedecccbcbcbdbcdaebededcdcccdbdbeeacbbaacddecabebaedabcaddaabdccedcbbbcbadcacabdbbcbeccabccaeeadadeeabdaaaaccedceabbbdbdcddccacaccaabddaaeddaaeedeebdeeadaedcdabcabdaadaeaeedaedacaaacacaaaaecdecbeecceecaaeeabddccdceacbaaecbadbcccdeeccebcccdaccacccdecbdeaaddaaaacbeedeaeedccaceabeadeeacdddececdecdaedacdbebacedcddccecacadadbdbbbeeceebacbbcbbebedbbaaedabccddbaeecbddcebdccaaeeccecddcddadebdbaeacbddcbdaaebecbbbcceeebabddeabdadaaecaaadcbceeccedddceeeaedbbaeddebbdbcceeeecaacaaddcebbdeaddbdabdeeedceceacccbcbbeedeebdecadcaadeadebcaaeccddedcdedaaaabadabecdceeccacadebddedebbdacdddeebbabacaceccccbadcdaaebceaccbbeadaeedbdaacedecddadbbccaeeebbdcddbbdadcadcaeebecddaedcccebceaaecdbabdacdbadabcbdaaadaedbecaacdddedbebbecebadedebeebedaaececdbccadeaadcbcabdcdddbccadaeeabacbbddcedcedaabdccadbbacececeebbeccdceabedddbaadbeaccbccadabbdcabedcdeacabcaebbeecbababbeabbabbcdaaeccbadbbcaaaddcdedecebebaeebabedaaebdebebeeadbebeacecaeaccbeededddadeecbaaaecdbdcacbebbeacbdbcdaddadcdeacbcdeaadbbecabdbecbbaeeacecbaccebebaadeccaaeebcceaccadaaebbecadedabaabedccbeddbdcaabaabaabedcdaaeeabccbbdccacedaeebccdbebcdaaaedeacceacdcbaadbecaaeecacdcaeeaecabebdbbbdcccbaaaededdebabbdbaedbaeccdedcdaeccbeacdecdabcacbaeeebdbabaeeccccaebbebeeadccbaeaeecceebacdcbecbcacdadbacbedcdddabeebeecceeedddeeaabaecdebacadbdecdbadcdbbeddabdeadcbeedacbabaccdccaaabdbdaaaecaeebcadbbdeddbabddeaedeeaebcdbccdddebbeacaadacadcbcaaaabbcdccdeedcdcaccbdacbcedeadedaeaadabcbacaeebecdbadbccabbededcaeabaaeacbcbabdcaacaecbccdaabebbaededceaaacbeabaccaaacdcaccaebedbacaabdcbcecdebdaebdabbbedbcbbabeddeceabbbcacdabaeeeaddacbaacddbedbaaeabccbaedbaeeecedadcbcebdcdacdbabccebdacebccebbadcbccdcdcbbbadbbcbacadacbeacbbcedcbedecdadedbdccdcccabcccaeaeacabedcecbdeeacccdeeaeaaddcbbcdcbcdddcdbbcbaeabaabcdbbbaaceabebdcadccebbcceacaadccbaccbaabbaaeedcccbedabdaaadbecdcecdacbecadaecbebccecadeededececbacebbbaedddbcdeeccaacbadedcbebabcdcaddbdeadaeeddddcbdaedcbacebabdbdaacdebedeaabecccbbdeabacdcbabacdcacbdbaaccabbcceaebddeaccbddabbccadaaeddcebabbbcebeebccacccceebcaeacdabbcdccbedadcbdeeaddcceeecedbebbeaededdadaeccebdcbddccccdcebbebedcceaeabcbeddbccdadccdbeeabeccdaaddaecdaddadcbccdebbcccdacebcdeebccdccbbeaddeeabdceccbdcabdbdedbeddadbeabceaededbbbabeabacaeddbbdcbeacacedbdaedaebaecedddacbdbdabcedcbcbabbadbaabededbecbbdbeaabccbcaeaabebccebaeddebbcdeceeebcaaddeeaddebdeaecdaaabdecaeaaadcabcceecedaaeccaddbadcdedcddbbaedadcadeaedadaaeddebecbcabbbeecbbceedaccbabdbcdcdcbbbaaeaaecdeeadcdaecadddbacdcaecadeacdeebceebeaddbedbaadbccdcbbddeddcadebedaacbcabcccbcaabdbdabcecabebceecddcbcdcebbbbedddeeccdadcecddadaaaecaeebacceccadccceadddbbcdbedbecdcabbdacbdcaacbedcddbabeddccddddcabaaeceeddeeabdabdcccebaeaabcbecebbcbebaccbeaaaaeaeabcdebbcdecbbbcddadcacabbebdceeedbbdbcdeccdecbdbcabecedccdeaabaaeccbbcdadeddbeabcddecddbaabbacdeaeeddeaeaaedbecbbdbbecbcaaedaedcebebadedacceabbcebaedbecccbddddaaaaddbcdaaaaabdeaadedacadadbecdedbcccbbbdecbabdeabcedcbdbbeacadcdeaeaecdceddadabeecadeadddbcaabaabeeeecacbebcaaaceabbabacbcacdecacddcbccdaccecbaeaaebecdabaabbbdbabbbdbaadeaaeacecadadeeacdcaecaacecabceaacddcebdceeabcbaccaebbbadedddadbbbcabdeabaddecdedbdcadeabaaeedcedbbdeeeecaceacdcbabdcdbeaeadbeebacdacbbcabcbceaebbcdbeeeaccddbbccaeebaeccaedebeadebaccebedbbaacebbacedbdbcaccecececcaceccdcdcacedabeccaeacbcbdcbcabbdacdaeebeaabeeaabceadbebedbeedcacbbcbcddcaebccabcaaddedadaebdbeaedeadaaacdacadcacdbcccbeabcdbcdecdbcccdebcbedbebbbdddaedccabbdecccbdceebaeeabaabaeeececdcebeeccbbedaddaeaaadbbceedcdcdcaebdeaadcddccdecdaeedbcdaaabaedbeeacbbabcdbecbcabbcbdeddadbedaaaccbaecedbececaabbccebceeeacdbcddaadbdabebcdacbaceeeebcecbacbaadcdeaaecebcdbaeceadccaeebaaeeaababacdcabeeaccaccaebcbebedbebcdabbedbbdbbbadabbebbbabadebaaeaeadcdceaeccddccdedaddbcadadaabbbbbaadeaceeecceeecadadadcbedccddbbaecadcdeacddaccaecbecbdeadeddedaaecdedcbedbdbdcbbdeaacadedabbcbcadabcbeaabdbacbbddecdeaedccdecabdbcbddcbdbeccadbdaebdadecbaaaebebcceccbdeeacccbadbdbcddeebbbdebeadbadedccdceebbeeadcaaaaededaddcddaebeceaecedddedbeccdddaddeddcadedbcbdbedeaebacccdebabecbabaeebadeeeadceaabecebeadceaddaaebcdaccaabacccdcbbcecdcbdcbdceaaccacaeeedabaaeebdcbcbabedaadaaecebbeddbbdaababbdbcddcbbebdbcddcccddcddacaeaabcaecdeccebeaccabaaaebbebcececcadebcbdcaeccdeaecbbcbcabcaadacddceedadacccaaabceccbcdecedbeaceeeedabddbadeeeedeeeacdccecceaeaedeebbecccdaebeabdebaadcdaddcebcbeeeeedaeaacbcacacacddeacecadaacaadccceacececbbdddeceebddacbbddacbaddcbcbeaeaddacccccbdbecaaaebdceeabecccdcccbbbcabdeadadbcaedbaaccdcccbcaecadabbdcdebbadacaddabbebeedcbcbcaebcccbcecabebbedbbbedabbabebedcddbdacddaeacddebeacbcacebbaaddcbaeeadcbbdbceebcbbbdadadcbaaaacebdacceeabddaaeebabbdddccecaacbcdddeadbbcecbcabcdcbbedbcbddeccbecbbdedcedaedbacbabadbddabecdadeeddeeededebcebbeadeceeedcceaccdaaceeccdaaccedadebbdadbcbccceeeecccbddcabcdbadceaceebdcadeccccbaaecccddbceecdaeceadacecdedaacaeceaadddeabcecccaacbcaedcdcdabeaadadedbcedecceabccaabcacbbeceaabbdabcbdacecacdecebbcaaadbababcbbbebdbbeddeeeabcbbaedcdddcaadaccddaaadbddbddeeedadbcdadecedbcabddbbebcbbbcdaccbdecececbcedabdbbdbcaeacddbcbedbebcbacecaeaedddaadacbcdcdeebcdecededceadbadbcbdacbababccadacaeccbbeebeccecbabcadedecbeccbaeddcdeedeadcccbaaacbaccbbabbaebbbcedcabdcabbccddebbbaebabecccadcdaceaadeacbeaadceecdeaaeaadeadddcbeddbdabbdaeddeaadbacceaabcbedcdbdbcddaebbdbbdaadabcbdbcdcddcdacbdaacaebaddccccceebccdcecdaddabbaddaabeaeccecebbbbabaeaaabedbaddebddaeeaeeeccebabeecdaaeddaeaacdccaaceebdbabcceabeebcedaacebaddaddbdcbebeeedcabdecccedeedceeabcceaeebddcbcbdeccadcedabadbddaabbaeecacabaaebabbbeddbaebcccdebddaceaabceeceebeebbaebbdcdbdcbaededbbecbdeedbdbcbbdceebddbcdeccbeedccbdadaaacbeeeaacbdddedcebdbbecbbacdecdbbecdcdcdbabeeedceccadaeabedabacbababcbceeaeeceaeabeabcccecdbacbddedabdbcedebeebbcdbaeeadcacedaeaeddedadcbabcccbbabceadaeeccaeccdbccecedcbaeceeddacbdbeeddaeccbcaaddabbcaeaaccedadeabadacdcbeceeccebeaececbbcdceaabecbaddacaaeccecaabbaddaecaeedbcbabbaecaacbadcabaabbbcedccdebbbeaadabdadcdbcbcadcebddaceaeaddedbacbcdcabcbbccdedaabdaecdebddacaecdbaeecaaeddbebcbebcebabaaadabeeecdacbcabcecbdacaebbccaddedbbabaececbcebeaaaaebddebcceabeedabdaaeddaaaebebaddceabebbebeaebabdacbeaaacceaebbbaadcecedeaacedddbcacaccbdbebaaebdccebbabaadadcceadaacececceedecbbdddbddabeeedebacaaaeaaebeaadbddcdcebdbdeeedbabbdeddbbcbdebaddecaaeaacccceaeeaecbbcdbeadddbbebbbcdcadbdcdccbbeaaecccdaadebabdbdbbdeddeacdaedacdeeadabbacddabeadcedabaaadadedeceeadabdaeebbeadbbbceebbdbabbadcdcecccdeccdcbcbdbccaaeebaeeaabdabaeaccaabdceacecedbebecadcdcedadcabbaeecaadabbbbaadacccaddbccbabdccbecaccadccdeccabddceacbbebaeaaddcdacccacacaaecbcedbacabdecbcbecbeaebedabdedbccbbaaaeceabbdacbdbaceddaadbcbbdaeaeceabeccaabcaccacdbabbcecaebbdaabacebdeebaebecedaeeebebdcbcdbaaedcbdaeaaebaacaddecdecbbbcabeebeaaaeddbbaaacdcdcbaedcbbacceebcbaecedecddadddeddbaecbcbaccadbebabedccabddadabbbbcbbeaabcecdcccdeebedccddeceedacdcacbacdaaedecdedcbddcaadacdaddbccdecccebdebdcdcceeaadbdadadabaebaccceacddbaccaeadebbbdabcdebabdebeecdcbbeadceaedadbeedbaadcbddacbacebacebdbedcabacdaecdeedbeaadccaabcbccdacbbdabdcbdbeaedcbebaecbdabbbcbbbcdcbbbbbebaebaaeabadeadbabddadcbaaeecaccaedbadaabebbdbddaaedacaddbdaeddeaaaebacbdbcceaaaadaaabaeebaeeecdaaddeaaecacaaebaccaadcceabeddaeacdccacebdbeecbcaeabbbdbccbddbdbcacbaabcccaccdeecbadeccadbecaaabcdbcadebdcddcbeddcaecceeecbaeadadbbaeaaeaacbabacddbdcabcacadaeaeacbdebdbebedeedccedbcdeaceceedabcbbbcccddcccbccddacddbaebadbdaccbddcbcdbecbdbcacceacdababcdceddecbeaaaddcaeabaadbacaadbaebbccaadebaacaeddddadeccddacbbebccbecaccbaeaaedeabbaeebedcdabeacdbdacbddaedcbddebeabbddcdcdabdcdbcddaacccaeaedddeaebecdecbdbecaccddecdaadbdadacecdeeeaedbdbeaadbdedacedacdabdaabacbacadabdbccdedeadcaedcbadddcececcdebeeebeeedecdebbdeecedebdaecbababdccacedbeedacdeadaacebeeeedceaeccbababcddbdbeccdeaccdeecbaaceedacbbedcbadbbebbceabdcdebaabebcbecdecbbdabcedbbdcedaaeabaaadaccacbcbecbeecaaaddaceeaccabacdaeeabaabeccecddbeedbececccbeeceeebdabacdecceeecaecbbacaabecddbaceadceacbdbdabddeccaddaedaeedcbbaeaaaceaccaebbdcabbbadaedacceeeacaecdaaedaeadccbdcbbaababedadcacacbcccababcdedcaebdacaeebadbacdadadbcbdaabececcbecedececadcbcbccceaaecbcbabeaccddbbcdbeacecbadbbaecbcecedaeceabadbdbccbeeddcddaecbadcecbddeaeebccdeaaebbedbeccddaeeaedabeaedeeeacbbccbecacaaacabcbbdcadecdedabbceaacaedeaacbeedbadbecdcbddabacaceeebabceabdcaaeaeacaacacdedeadddabaaaecdabddddddaebbbeacbcbbcaedcbaeaeabdcbbecebbbaadaaabbcadcbdebddbbebacdbadcdecdebedbbeebeacbebadbbaeedebebdcadabbdcebeecbbaebacaddcbcdcaadeadaabdeadeeecbcaedecbbeedbdedbeaddabddacdaeeccdeaeebedcbaacbabdeaccbdaddebeedceeeebccadeeecccaebbadcbebcaeedddcedaacbcaebbddaaceebacedbdedddaadcedaaabdbecbbeacdbbcdeabbdcebeaeeecccebaaccaebbaadaebcacadbeeedaecbbdccbeccbdecbadcbcbdbbbeeccbceeacecbdededdecdaaceaecceeaaeeaadaadadcebcadcbdebaaaddbbebdcecdbceeecaebbdddccdcbbccaabdbdcbbceaadecebcddceacbdaedabceceacabdcadaeccdabebeddaeedbdaaaacddedbddaaaeaeaeadaeddabaaddbccdaacadcdccbecddedaaaadceeaaaaccdabbbaacbeaecedbeabaecbbadbddbeddabdedbbdebbdeededccbacdadacbabacaebaeeaaecbadccabadaceaaaaecbaeeedadbdadcaabebdaaeeceadcebbaeeaeadbdebccdeabccadecedbbabdbabbcbdbdcabaaabcdadaeebcdcadabdebeceeeccdecdccdeabceecbcbcaaacaadeaccdabcecdcdcbaaedabdcdeacbbceeeddedccbcadbabbbdcbccaeeaccecadceeaeddadeabaabaabbceeaccaeebebaaebaeebeccddecacbcebadaedbcbbddadbdcabcaaecbbaabdbaedbeceecacddbdbeaaaadbebadcdbbeedeabccbcacbaeaededeebbadedaddddbeacbdcaaddccbcebbbebddcaabbdbaacddccaaecadbaadaaebbadbabeaccbaaaaddeaccdedeacadbbcaecacaaeaebececaadcabbaaebbbdeddeedbebbdedcceceecadadeeeebddbbbbbcdeebbababbaccdecdcadcbcceddbccbcebccbeeeebcdbbeccbaacaaddecedeccbcbceebcddaeadccdaabdaaebcdecdaebaccdccdbbebcbabbcdeabaacbeedebabddeddabdeccdbdeaedeabdbeeeaabdaecdbdaccaccacdbdedcedceedcbadcbdbaaceecaedaadcbedaabdeeeaacdebdacaedbdcbabdaadecbebcedbbedbabdacedadbaccabceaabdbebbaeebddaddadacdecceddbbaceecabdaadbebdcbaeebabeececbdeeeceaaaddddeabdadcedbdadaedbcbabbaccbdbdabacebeedbedaebcabaccadeaaebedbbaebcbbccdcdaddabedcbbeaeadbcebcceedbcbdceebecaccbcebdaeceabedceabeedcadaccbbeacedeaaadbceecadeeaaecbddeaebbbebaabdededbeeeecedadaeeddeacbbdcedacbeeebcccaabcabebdabdedebcaabeeeddeccbeccbeeececbbaaddcccabbbbdbdcadbabeadcaebcbaccdcbecdcceaaaabecacaadacedeecdcbcdadbbcbeccbaadbadedbbadcdcaaceecdacbedeecdeeddccdabacdcbeccebbccdbddaeebebaeebbbbdbaceaaebdabdcbdcbbeebaadcadecdaaccedacbabbdedaeababbcbddacdbeccadecbceeddaaecbbcbccdacdededebdebebcecbeaccecaedaeabcdbdcdceedeeababddadcedbdaabdbeeeeeeddbbcbeeacebdbceaeddbdeabcaebeeeddcccdbdcbdeeaedeecabaabddaebeddacdbaaeddacbdbadbceccddebcbaeeccbcbdcdcbecaeebceaeaaeaeeeabebbacceaaccbcadeebcdaaeadbdecaddbbecdebbaccccbaacaabbaeadaaecedecbacbcecbcbbebceacbbcddaabecdceebedaaccececdcedccedcaebcaaecccdbbbebdcaaaedcacbdbeadbcdeabccedeeecbceabddccadbdbaedcadcdeebaebeeecaeeecdbbadadadedaaabaeaeacccdebbccacdcbdabdccdbcccededacadddbcbbcdbebcdabebaeccccbededddcaececebcadaacdaabddadceadbaeeacacacaadbcbdceabbbbdbddacedddbaaacaacaececadaaeaccceedceecbaaaceaebdedbedceceebedcccccbdcbbeceaabeecdeeaabdeaaeababaaedebcbcaaddeeddacaecaedcbbaaedabeccaeaeabbaabcebdaaaddaaeceeddbedceedcadacadeaaedcbdaebeaebcbedaeabecedcecdebccbabebdcbedbededadeaadcededcbbaebcebbecdbabdcceaeccdadbcdbccdececbabcacccdcbaeabbaecabcaeeaaebdbeabddeeaeacccceeeabdcaabeccbacbebeaabbeadebdbeeaebcbabeecdaebacebdeccaeeebebbbbcdeebcaadedcaaabdcabaceddeaecbaeacdaaeaeccedbdadacbadbbccdacdadcbeadabdedaabdcddeaebecbccceaceddebccddbeabcdcceabcccbeedecdedcbbecddaceeaacadedaeaeacdcddaaacdececcedabbceccdccdddbedebecacbdbecbeeabbbceacbbeaeeacaacadaebccddcdebbbbbbdcdccbdeadecabaaecdccaacdbbccebcbeebcbeaeceadedacbdcacacdaeccebdeaadbcaacdaabeaebbcaedeeacabecacacceeedababcdceaccedceaebaedccceaeaaebaadddebabaaccccaacbbcddeeddbebcabbeedceedecbbbddaadbccecbadabaadebbaebddbbeecebccdbaeabcbdbbceeacbcbedaeaadceadbdbadeeceaeabbdcabebccecbbebadbadaadecbbdaeecabddbbeaeeebadbeaaedbaaabaacbedddcaeddbeabacdbbdaebdcbdaabecceeabddaeebbdbacecdbddebbddcddacaabdbdddcbadbceaaedbaacdedbabeaacdadebeadabbecccbeddaceddeddbcddaadbebacaeedabcdbadccaecedddbceeabceaeddeeaadcbcbeccddabaeeccdaaccbbbdbddebcbbbebacbbdcdbdcbddcebdcabbcadcbcbdacdbccbcedabedaeaedeaeedbdeaedadbcdddacccaebebdcbaaddababedaeccceadcebccddcaabdcdbcaeeecbeeceaedacaacbbcbcdddaddcdaebacdbacdcdededecdbdbbdebedaceccdcdcaebacbaebcecbdaeaeeaeabebdeddbebccccabacaabeebdcddabeaddceaadaabdddeccdecbbdeceddabceeaebcbeaebdbdbaabccacbcacceaabaecaaadbbaaabcabeeadaaaeecebeacabdebcaddedeebebecddccbedeceeeddcaecdabccbabcddabedbeabdbaeabbbacbaecacaddcdddbdaeccbcbbedabcddaecbcbaddebeceaaeaaeddedaadbadeddbbdeccbacbaaccebbbcccbddaeeacaaeccbdbbcbababacaabebdabcbbddaddbddacbeddcddcbbceceeedaaaadecaadcaaddaecbeaadecddeacdbcbbaaabacdeabbdadbbbadecaeaeebebbacbaebbabadddeadaacbeeaabedeeaeeccaeeadcbeebdabbbcadaddbdaeaceabdebbabcdcedbaeaccbeedaebbadbdacdbbeaacbaebcaeeacbccbbecebbeedacecebbcabceeeeecadccdecddddaaadccceacacbedcbdddbacdcdebaecddcaecaaaeacedabaaeaabecbbabcbadadebeadbaeddeedbadbdabeedadceaeaaacaeedccdeadadcecdeaebedcdbaceacdbdabbceebabaeaeabbdcdebaccbbcdeeddcceddcaedbacdeccdadeecaeebdbcbbeeaeebcaacceadbadcbddaedaedbbbdeccaadeabeabccdeedabdaaceddbbddddceccbbdaeacabadbadacbeabbedabeaabbaacbbdbbceaecbbbedacadeebdcaceeecccccededadbdccdaedabeeedadcadcabdeeccbeeeaacdaebbabcdccbedbaddbdbceaabdaaeadabbdbbbeabcbbcceadadeeccdeadccdbcecccabedcadbaeecbeebcbdddaceddaedabdbdcaadcbcdddecbaeadccedccecbabaaebeddebbceaacecdadceeeaddeacccacaadaccbdabbdbaaddbbececaacdabaaaabddcddabecccdaceaadddecdcebaeeaadbcdcaccceccecdcddabdbcabcecdacecdaebacddbcadbccaccbbebdaacdcecdedeacbeceabcddbbacdeeecccdeacdababcaddccceabdeeabcddacaaaaacabacccdabcbcbdceadeeadddbccdeeeedbecddeebcaaeebecadcceccbeebeccbacbecdecdccecbebeecddedbdbcceaaadbecadcbdabcedacddceebacccabdadeacddaaabbaedcaeaebdbaaeadeedbebeaecaadadbcaccebaecdebdecbbabdecccbaedecaedacbdeaeaaeeacddedeaadbcaceeadbbacedacccdecbeccaccbddcdddbaecebedabaababddbbaadccdeaeeeebdacaadeaedbbdebdaacadcdebddadbcedccaeecedebbaaabbebcbccdbbdddbadebecdcbccecdbcdbeccbcdcbedccbabcdbbedacebedceccbdadcaaebccedeceeeecacbdccbaedbbaaacabbdbdbaabbcaebadbcecdcccbcdaddeadbcaaccbbdcddaabebebaadcabadbacdcebddeadbebbcdcbdedacaddceeecaaceadacadaddbecdcecabbbedcaebabdbccaaacebdaeccadcdabaeadbaabdeeecaaaeadbbdbebceeacadcbddeabbbdeeceadcebaabdceebceeaebeaeebddbdebaedcdcbcaedecdccbeedecbbbebcdceabecdceaeaecebcabccceadaabdbdbbddeeedceddbcbeeacdbbceadcacadbdcdaaebcbccdcdcaddbcebabecbdedcdeeaaebeedbbcdccaecbdbbedcbbdeccbaccdaebcbaeeaecbaccdabdcecbcdcacbaeebadadadcddcbbddaccdecddcaaabeedeeedadddaecdcaddbcecaddbeecaeadcedbabacdeecbdeccbdbebebeecebedbbcebbdbedbebeaaeabcbbbbaebbdeadebbccbeeecbdbabddbedabcadebebeebaabdcabadcaeaceaabcaababbedbabbbeedeaeacdddbbcadedabaeeaaebecdaaeedbaeabdcddeaeeacbebdebedcaedbacdbebcdeaebccdccbabbdbdecabcdbaaabdabbacbdaecdcebcdbbebebededccbdcdabadcecdbacdaacacdeadabccbabbaddbbbceaaaaedbeaaedebeeecdceaeedbedbcacedbdbeaeceebebeeabbaaaeecedaaecdbcaddaabbbabdaccbeeceebedcaaadaeaacdbbdaeaeeecacddeebbebcbeddcedeabeeaabdbdcbbbbdacdcdbadbeceaaebbddcbcceabeedcdaaedaaccbeabccbbbccedcccbadecddcaeadaaeaadebcadbaaeeceddbdaebcddcdaeaaddaeeddbecebccbcddeaaaeeebbcdbeaebedecbbbadaabdaddadacbcdccaebcbecbedebdcbbcbcabaadeeddaecebbcdcbbbdeabacdeabeccdbdcebeeedbbaecceccedccbaabadacaabadddebdedebddbdeddacdcaddbaeadddaadbddecbacccdaaccccaddaeaeadbcacbaaaccaeecedddcabaabcdbbdabaeaeecaebbccddebdedebebecbadaceadecbbcaaadbbeadeceeedbbdbcaebddaeaebececeaaaadbcdbeacbedeeadadebdebabdbcebcccebedbdecbdcbedeacbbeeebddbdeededececcadaacebccdddaeccdbedeabbeabaadcacecabbdbdabadbdaacbaebaadbbebbeacbbbadebbeabacbcadceeecadaababccacdabdcbaacebecaebdcecceeebcadaabdaebaeceaeebdaabceaabeddecbbadaedbdcacbbcbbdcecdadcceebabcbbecccbdaddbadbbeacdedcdcbbddeccdabcadcebbedadacbbecabcaaecdabcdcdacdaceaaeeecbcbdbbdbebcdbcddbcebbecbdebadcaeabccaabdbaeadcddbddebbadbeecccceaeeaacdeaedadedcaeedcdaddaeaeceaabbbecdecbddaeeddcbbccbdecbbbeebeaecacaabaabadeecaabcdaeceedeaabecccccddcabaaedcdadaaedbbcaadbdeeddedddeddcbecebdbadcabddecacaebacbbdbeaacbbacddebdbccacbdbbdbdaaeeabdcaabcdcbedacccbeeacacceaeaddecddccaabedbbabbccadcbeaeceebadbadaeabccebedadacbcebcdcadeadbdecdccddacbdcbeebadaaacbbcbbdccadadaadabdbdcedcdacaccacbbbcadbabdcebebedaeceeddccdbbbeaabddbdddaecedecbececabcbaedbbbceccaaabbadaecabddeaaddaacaeeddbecdbabaeebcbdaedabaeeebbadacbdebbededededbcecaecbdcbcdddebcbebaeeccaeeeeddeebaadbaeeeeabaacbddddcdebbdaaebedbeecddcadbcbcadaacbaaecebdebcbabdaaedebeaeaeccddcceacdaadadeadccbccdeadebaedaeeeebacdeecacdacdbbaabebdaecaaedeaebcdcacacddacbbcbbabeeeacaadddebbeccaececdabcadcbcaedaedbcceedaaacdcbeeabceddddabadcddbcecaeeeaadeebedaacbcbdaaaeadeebbdccabbbbeadaadcbacdcdaaeeaebceadabadbebceebaaecdcbabbedbbbeaeebaabdcacdbdcebcdebededcdccadbdcbebebeccbcedecaebddbeebcbabbcaeccdbbababbebcdbedaaaaeeaebcbecdccaebadebdbadceccaebbdcdcacbccbdeaaedabcdaaebebcecebedcebdceebcacdbacbeacbadccdaeeaedbcebdcbcacecddbdbaaddebddceadcddebcbecdeccaeeaaebeeeebaadccacbbcecabeceaacbeaaacceeceaadebdbceeeebdedaddaeccaddacbcbcdeeabcdccdcacebddeecabddbdacdbcdcaacecceedccdbdeeeadaebdcdbcedededcacbeedaeedbbdaacdcccccaddebcbceecadadebbdbaadccdbbeedccdbacbbeaaacdaeeabacbacebdeebdbadcdddbedecdbbcdacacbdbaeadbecbdbeabeadbcadedaccacbcecaaacbddabeaebbeddccdccebcebcebabdeebbebbeccadbabaecbbeacaaeddaddcadcdbcaeaceeadcdddbeabbccaddaecdaebecccebbdcbbeaaddeacaeddecbadaccecaddaacddbbaacacdbcdabcedbacdcdceebadcddbcacabeeebcecaccabbcceedcabecebababecbedbabedaadddbdddeeaeedaaeebecedaaaeaababbeaceaadeabadbaedcbccceeeaedbcceeebbbaaaddceeadbddeadccccbeaeadbdbcaeaedabbddaacdddabbcaecadabdbdbcaddbeddeaddacbcddddbdeaaabdaebddecdcaddeeaebbcabbaccbbaeadeaceabddbbedddbaabaecdeadceedbbdaebbccabebaaabdabcaaeccaecacdcbdcaccddcceaadadaedbbdbcbceaccabedecabcadacbecdeccaddedcdbdccccddbbaacbbaadbecbbceeedadedbaaabeaceadbabaaaaaceabcbcbcdcacaebbdaececbdcccaeeeabbebbdddeeebcabedecbaceddaeedbbbdaadbcacedaeccbbdadbaebeeddbdbeebbdecabbdddbbdedabbebcccbccdccbbdeabdadbababbbecbbcbbdedeedcabdaddedbaeadbabcabdecacadeaaecbaeceabcdbbaaaaaeebadceebedeedbaabaaaeabccebadcddbcbdacbeaacbdbeabcbeceaddccdbedbbdedeeecbdeededcecebadbedeacaaceabdadeddbdedeebeeceecbbbcdbaacbbeeccadaecdceaacddaaceaccdbcccbbbcbaaddeddcdbdaeebcdedadaccebeccbabeacbbacebeebeeacdecadbdcaadcdabdddabbeececcaadacdcaaaddaccbcdbeddcbdabbebcedccddaacdbbdeadaeeaabeeccdcebeeddeabbbdbebbbadaebeabbcccaecebbcbcedaeeddcaaaedddcbcdabadbcaebeceabcabaadbceabebaaadbddccaedcebadceccebacccbcabedcdeacaebaeeedbccaddccdecddbdadeeeeaeecaabedcaaaceabcecdcbbdeeeaaaadbdddeadcdcdeccddeaebdececddbbcebdceaccdccaeadaebedaaebecdeaababcceadccaccabbdabaeebbcbbccdaccebcaedcbcdaaacdcbddaabcdadadcdecddbcddddbebdcdcedecaecdbdaebccaeebedaedeadcbbeababcedddadaacddeaecbbcebadbbebddddacdcedeebcabdaaceccdaadabaeeddeddcdbcdacaedaedeacccadcdcddbebebdbbbbcccacdccbeebdacebbadcdacacccbcabeeeecbaddacedbaeebcaccdaceedaecbdddcdbcaaadcacbeedaeedabbeebaccabdeadcbaeedaecdeeccaadecdcbcebaacacdabaabdaebbdabdeaaabdbaebbcdbdecdcdbbdadeeacdbbbcabcbbdcabcdccaabbaccbeebccdcbdbecdceeecdecdebaaadecdeabcdbddceddbbdcbcbddccaabeaaaeacbcdbdebaebbbdbdabecdabcebbeeeadebceaccddeedcecbcecedcaecbbcbbebcbaddbdeedadeedbadbbdcaeeeabacaeddcaeaaeecaeccccadabaebbbabddbeebdcbebdaabcdeeceaaddebaaadbebaabebaaeaeebbadddddbebdccbcbdbbebddaabebaeadbdabbbdccdccabcaccaccbbdcccceebaaebeebcddceccdeaadaaeeddbbdebeabcdacceacdadcccaaadcaecacdbebabacbaedddcacabdaedceeebcddccbdaeabadaaebecdeabeabedaacddadcdaaacabcccdbbccdbbcdadecdbddaedcabceedabcedcacecdccbadbeaaaaccdacbeedcbbdacaebededbbadbcbcabcaacbddbadbaeaeaededcdceeadccbeaccaaabbcbbaadecdcacabcbcabedeaeeabecabccbbddbcdabceddeeebccbdcaddbadcbcbaaadaebaceaadbdbdbeceeeacabbbcabaaccaedbcceedabbdbdddadadedcdaacececadbcdaacbcacecedcabaebaeeaecbebbccdcdeeeeaacbcbcbdebbccdcecddceabbdbabdabbeaacdcdbadaeaccdbeaeeeadeaeeaebedeeecacbceedcecedabbaaccacebbbbeeadbecbddcadebdccbbdebaedbeaeaceedacbeadccdddcccaecbbeaaebddcccbabceeacedccbeabdbebebdaaedddcaeedeedbebbaeeecbcbeddeedeadbcddedbdaaaaaaebeaedaeecdcaebedcbcbdedcddeedccbadaeabbccaaccbbaccaedaebaedacbbdbdbbbdaeacccbceaaacbecdeebebdaeaaaabcddbbdbaabadbdcdcecedccadbbdaabdeabacabcbdbcebdceddabbdaeacdaadadbbcbceaecbbabdadeccedbbdbdcdbccdeeebccccacdceabdecadcccbcddecbccabecdaacbcbcaabdcbececacaedaabceaaeaaddcecccabdcbecbbdbbdecaccbebbdcbacbabcabbbdeccadccaaeeadaeecdcbaeedaeaeceededecaaecccaeababadbabdadbacaebcdedecdcaeddcceeccdabecccdaeaecbbbbcccbeabacedeebaeeaedbeceacdeedaeacbdadaeecccbcdceecccaebcddddebeeceabaeedeaccdcdabbbccbaaaebecbaebececccbeaedceadbacdbbedacaabecbdbdbeaedcaabacdbdaecdeeaaacebbcceeebcccbdbdeaecebeeeacbdedcebedebcdcadedadbedbeddaecebebabcacedaeadbbabccccbddbeaacbeaeacaeacbcddbabdaeaaeadedcbdbbeddbbcccaacaeccdaecaeeddabcbbdbccdbdaaeddccedcdcccabebcbababdceccbbabcbbcedebdabeeceddaddddccebebdceeeebbeaaeecdbaabacbcceddcbbbacbcdcbbdeddacaeceadddccdceabecbebdcbacaebbcdbddabcddeaedcadacecccdcacbdbdbaeceabdbbcaecbacbbeaeaaedbcaeddabaddaceaebecddaddeddadcdeeeceabbdabebbacbdaebcbbeccdebaaeaeecbdacbbedbadabbbdeadcbacadcaacadbaabcbcaaaedabdbdebbecedceaaadcdecdaddecdedcecdbecedebdadedddbcaacecdccdcdeaabcdacbedcccabdabeddbdcccadcdedcaccecaacdcdeaecacdbcabdceabbdececcbdbabccaaaaedbbcccdbbcbdcbdadacceaccdbedbdebccaebaabacdedbbdebbdbbedbaadaddedddaaebeacdbebddabcbdcdaacecadceaddabadbeeddedbdcbedadaabbaeccbcacdccdebaebcebbeccbebcdeacdeabbcaddcbececdeeecacccbcdeeceebbacbcdbacbeeebdabaceaeaadebacaeebaddbdbbbacbccadeeadeebcbdddcedcaecbbaececdcaaecbebeddbdcbeacbabedeabaedecceececbcbecdbccbecebbaaccacaccbbecedddabcdcabceacbabaebdcaeadcecadaeedeeabbeaeebacaaeccebbbeacbebbabddbecbeecaccbeaceadbebeacebdcaecbadcdaccbbdeebcbbbedbbcdbdddbadcbaabdbebacecdadaeebcccddbeacdceaeccbbacadaccbeeebaabcdbacbdeddbbbaacabceeeaceabebedaaaeedccebbecccaceddbdabeeaabccdaeedcacdcbadedeaaaeddcacdbaabdaebdcabecbcecbdddcbcbddbeaceddeaabadcdcebaeaccbededdabaaeabcaedbedaecbbdcecceabbeedceeadcabdedaacebccbbdceacabcbddeebdbbbcedeedddcabaedabdaecaddcceacceaebabaaddccdceddaabeaddcdddbadcdcabcedbbacdbdcdcdacdabaaddcdbbcbcaacadacdaaebdcdbbcaedcdbcdcbecebebebadaddbcaddaebaedeadcdbcadedadacecdacbdadabdebbeaaaaeeececabbaeececddaddbeeebbaebeccbedbabdeebdbbbadceaaabbbbbdabaedbaecdabccceecbaabeeeaeabeaadbacebcbbbbecdeadadaaacbabaaecbaceacaeabbeddcacdaaddbebcadddcdacdbacedbcdebccceaddecadbdedddbddabbdadaeeadcbaaeaccbdbeacadeaebeddbcceddaacdbaeadceacabacadbbebdacbcdacdbcaeaddacadbbaeaeebabbdbbebdccaddedbaecbbdccdddadbeacedebeaaedddeadcebdecdadadebbbcabcbacdadaccdecbccdbcccaeeccddaabaeaedadccdbbeedacbecddacdcedeeebeedbbaeaededbbdadcdcaaecdaebdbaecdadbbabdecdecdebabadebacabdbbbdcaccceeeceebeceaaabdaadccdabddaebaadbaadaaddabbccbaedcaadaadcceebbecbbcdccaedbccadccbedebedacaccecbcedaeddeeadccbaaeedebbbedcdaeeeaaecdaebabaedeaadbbcedceebaebbebbceaaedadcacbaadabdedceedabababbebdeabdabdacabebcccccaececdadaaceddecdbedcaacbedcbadcbbcabaacebecdeabceaceaeccbecedcddbdddecdbccddbaacadbddecbebacebdeaacbbdbcddadabeececcddaabddacbcaabbbebbdceaebbedbebcaebeeeddebddaddcaaebbabcadbeeceebdcaedccbecbaaddebdaedbbcedeecccbccaddbbddabcdbabcddbebbbdaaadeadbdcecbbdaacaebbcacabdbdcebbceeebaeecddacadacbbcccebaeaeaecaabacddccddedddecdabdaaedabbeebaabcaabaaacbcebdccaebbecbbbcbcacdadcddaadaeeaabeecaccdeacadddddbbdedeabeeddddcebddeeabebaccbeadabceebebedebcdccbecaeccbbdbbdcabecabcaceabdacaccedcebeeeacbaeebacccaccbcabdedbcebddcebdaeadecebacabddbddebceadedcacdebceabccaadedeceaeabaebccebcaeddccaecaeccaccbbcdccdaadacaccecaeccddeeeebbbbbbdaecdaccccdddabcdddcecdcccaacbabccaabcdadcbabeadecbeccabcbddececdaaddabacbedaedacaabdeadecbecbbadbbdcbbeadaacecdbcddececdcbcaebacbcbbacaccecbcceedeaaeedbebbddbeeacacbaebdaaacddbdeaeccdcbceaeadddbdceecdeecbbcecabebebacecaaababcaaaebbcaababedabdbdedcdecedbbababcaabdebabbcbcaaaebdceebcececbabdcaecccbbcaddeccebeaecddbabdebccedeaabadcbaeddacacbbcdaeabebbaceedaeeaeecaeedbcadecbaeaabeddedebdcebcddeecebacaecbdbecaeabdadeeddcbbdcebbeacbbceeebedecbddbaeeebaddaddcdaaeaeebcadcaceceeebebebbedacbeebabeaeedaebabbaeaaeeccbeaaddadebcccceaeacceaedeceaaddbaccabbcbeaccdcaeceedbbbacdadebdcaccaecbdddbabbeeeddaabdddbbcecbbaddaebccbaeddbdbedbdcaeeabaebdbccdadaecbeecbceebbccebcadabbccbadacaedaecbaaceeeabcdcbbeeceedbdeeadadcdcbdbaadecdacebbbcadcdaaedddbcaadcddbdcdaeabcccebdeaebdcadaebaeeaeaaddccccdaaceadeebaeeaaaecaaacdddeaaeeecacedcccaaaabadbebaabebedaeddcdadbcdaeacdbedeeebacdbacbddadcaacdcebbaacdbbadaabcabaeaecdbcdddcbbedbcdcdddaadeecedeaabbaeaccddcddddabccebaeabbeaedeecccddcdeedededdeabcebdcdaccbbdbbeeabeaebcacacceeacbdacadbeeeebecccbbcebcbdcdeceaeaabcecadaaeadabdaceaacccedddeacbcabdbeaeacebdaeebbbaddaadabcdeabcedbbccabceaeeebaeadaeeacbacbdcabebaccbaddddbadbcbebcdacaccecabebecbbaddecbeaaabdabcdabdacdbeaeabcbcbbcabcecdcdbbebceaeadeceddebedbbcbbddebecdabdbdcacecabcbbbcadeeeaebcacacabaaedcdecadeddccacbcddbebbddaeeeeeceaebeddabcdbeddbbaecabecdbcabcdddcccaedddccbcdebceecaddebcceaeaadbedbdeeaedeeaccbadeebcdadadabebabdbececccdcadabaeeedbbcbbcedaabddedddeeecdeebccddeacaaadadceceaeacacbecabdcdedebabeabcbaadabbacbbbadedbdebecdcdebecddabebcececceecdbeeaadacdeeaeaeebaaaacdeaccbdbbeaeddaebdcaadcbacaebceedbebabdcbcedcbaabdeecebaadddcccbcbbabdabdbbbbbddcddeaeaaedbbdeadeaebebeccdbdedddcccebecddaadccdedebcaeeadbccedbeecadadcdaaaeebdbbeaebdebdaceedcadbcedacbaeaecdceadeacddecdbceabdeaaabbdbcaccebdebaeaaabdaeabbedbeabbcdeeaccedadaeabcebbbbeecbeacbcaccbcaddebaedbadacedcbeaacddbdadbdaddbbebeabcbaaacadcacebddadcadbbedbcdbbeeadebecbaaddaabdbdcdbbcbceabebaaeceaacecedaebdddebbdaecbbebdbabccccbbbacdeebaddeceadddebdabdabeaaebecdaabbaccbaeeaebadddbadecaedabdcaabcbbbbabdbdbdddbdddaaeceaaabddecaaccddcccbcdddcdcedcbdeaabecbdbbadeceeccbdaabdcabddcdbdcaddaeaaeebbebebadcdecadaeeccbaaebbcabccbaaccddcdbdeeebedbbdbcaeddcdaaaebcbaaccaecacbcbeaaaaeeeccdbdcabdeebddeaebbdceaacbbcdcaceacdedcbeeaeeebdecaceaaddcbeddeecedbabeaddebbeacaeacdebcdaccceaebbecaaeebcabaacdbdcddbadcbaadaaedabaaedabdaecbddccdbdbcadebaedeedbecabebccecddddddbdcbbdbbddcbcbddbacabbaeeeeeaaaecabdeeeaaabdaaaaaadadebcbadaceddcbacebdebacecdecaaabbebcacebabaceaadbcbedececaccdceaaecacebaddbeddeadbdceabeacbbaededbeaacbeeedcaaabaceebcebcdbabbacddeddebedbdbceeeedbbceccccaabbedeebbdbaabcadceabdeddaaabbbbcaeccddbbcbcdecdebeeddddabbedccbbeabcbbbbbeababbdddaadaccddbddacaacdeebeeeddeeebbdebebbeabedbcbdabcbbaacdeaecbddedeaaaaedbdaeeeacecaddadbcaaccbbedaacedbeddedddddeaeedeacacbbbaceebbaccecebcbbcdcebeabaeecdddcaddcdcddaccacbdcacbecdbdabbbdeccbbdbbcbdeaeedebebdcaddcaaabbecddddbcedadcededabddeeecacddcbecccbebdccaeceddbbcedbbecabceecaabcadacbbacbccdeedeeacacdbbdbeecccedadbebcbcaeecaadbadaeacddeadaeacebaeabedadcbabdadccbcdcdbdabbaaacdcdcdaaeacdbaeaacbbadeebcaaebccdadbdebebccdceadbccbcadcedadddbdbecbbcedcbacecccbbdceadeddbabeaaadecccbaacdcbeaeecbdceeaacebddeecaecaaabcdceabdcaedabbeccedaecbdbbebbaadbbcaecedbcdcebbcebecdbeecaaadeadceebdedaacbbddcaaeeaeeeeeabaacccbabaaedaeabccccbaaacecacaadcdceabcdeadacccaabcabbdbbdbceacaedcaeddaecbcbcaeabcdbdcbbdaeedaaadaaebdacdcdeddbcccdeccaedeceececbaddebccbacccccaaeeacabebcadeabdbccddebdeeacccdaebaedacbedcbcaabebeaaebeeccbecdeabddcccdedababcceaaacabcccdadadeaabdbceecbebccbceecaaabeacbebbabddebedceeaedecdccccbaccecdcbbaaaddcbccbaadaceecbdebeeeccbcdcbeabececdacaecdeabedbcecadadbddcbbceaeedaeccbccbaadcbdecadbcaaaababbbdadaaddbcdadbcdeddcdeecbcedcedbedaaeebcbddadccdaacddbcbbdedeaabedecabebdadcccacabcceededbbbbdcaecbececcdedbdcdbdabebecedaabacbbcdadeebaebbdacccecdaaeabbaebeccdcdedecedbecaeacbcacebededcecdcbaebdcdaadbedcccacdbabcaaedeabdbccbcadbbcaacdaceceacdbcebdaaedabddadadcaecdbeecbcccaebbdddcdabbceecacacaabccdaacaeedabcaeaebbeeaabcdddadbcceccdecbadcdedbaaeaeaceceeabdeabdbdcadcecbeddcedaaddbbebdcdadacadcdeacdccdcdebceaecddbebbbbdacaeadaccbaaedbaebcceaeddcdbcbdcedabeaecdaeeccdababbcdebcaacebcecdeebaedaedcacccadbbcddbbbeeedeabcaabadadceeaacebacabdadaccebbccadcebdbabccbeaeddbadccacbbccccbbaedcebbbecbacaeacaecbadcecabccaadecdecbcaecdcdaedddbcdbddecdaacecbcbcccadcccccbaaeeeebadebbeaddebddaecbeeaeebccdaddeaebdecaabcabedbeababebebcedabcbaccacabacbeeebaaddaecaceddeecbbdbbeeccebbbcddeeccdadaecebbeeecddecadeabedeecebbcdcbeaedbaebedcceabcebbbdbddddbaeababddadeeeccabedcdceaaebeebddceedaccceeecacdceddadaecaebbedcbbbaaeaaedbeeceeeeecbbcedacacdeaacadccaabccebaaeabdadecccacbeadcecbaecbbdbbedaedcebabacbcdcccddbeaadaebddedbceeeeebacaacaddecbdeabcedbedeaccbebbcbdceebdccbadebabcaaacbdebedddbebcbddeaabbbbbceaeaaebeacbdcbaeeeebeeebbadceaacebdaebedabeabacaccbcebccecbbebbedaabcebeedbbcbcbbaecabceeaeaccedbbdbeaaeeeaadbcdbddcedccabbddedceccdbbeadeaaeaceacedcbbedbdacaccdbccbdecbacbeacbbccadbddbedbebbcdbadbacedcbcceddacbccceacbacbbdcdedcaccaeabaaacbcbdacdeeeaddeebeabacbdbbeabcdedeeedaeedaeebcadaabaaabbbdaaabccceccaaeedceadedcddadcacbedabeaadbdaadbdcbdeddddbeadcecacbcaebbdbcbdecbedcbebaacbaebdccceaadcedaedeccdeaaceacacecbaddbcedccaebaecbbaceaceedaebacbbcdceacdaabadeddeabccadedaeeceddaadcdcadbabbdaaaaebaabddebecaeabbaadcbceaddecbeaeededaaabcebdeccaebcedcccbceabcbceabeabeabdebbbcebdebacbbdcbeebcceababcdceddccdcabcabeeccacdbbecabaadecbddcaddecebacaacedbbaabecebeddedeeaaacdacaababccdaedacceeaaeadaecddcedabdebcedccaadbdbbeacabcebddecadecbeddacaaeeebdedebacecdabbeddddcdaebccbedcbbeebbacbbbdecdccabccdabbdcdbeceeabcaaabcaeeabaaebadabeeccbdedadcccccddcbcdeeccdbaaacaacdcedcacadddbaabdddbcbccecdcebceadacddbecbeebeadceaabacdbcaadecedcaedbbecdbedabecececcedcbccdcaaacdadcedbddbbedaebdcbdceacecebadeadadacbdcbdacbdedecbaadebbecdbceadcbbebecbbdbdadedceeedcaacabbdaeebcecbeedbcdabedebeacabeaaebceabbcabeeceadbeecdeadacaabdeeeccbaacbbbedadaabdddedcadbebdabbcdbdccccecbaacecceacebdcacccccbbdabbccbdcbcddacbbbedcaadbdcebbcddedcbeabcbbcbdbaacacabceaaecdaeccabdbcaeeeacaeebdebdcecabcbdddcccbedbebdabddbeeeadcccaacddcbbbecaaedbdededdeeabaecedbbddccaedacdbbbdeeeeedecdbbcdabeadcedaceddcedaecdbdbcacceedcdabcbedcbaabacaddbeecbbbbdcceadcdebedaeceabcdbeedbcaadcaceebbcaacabebaaccaaaaddaecaceacdeabaababdaecbdcacbdcdcbaadbaebdeadcdccceececeeeaddddbccbcaecbeccaebbdcaccdbbabaeaabdccacddddcdacbcadababcbdeccabcbbaaabbabbbbedacebbbeebebeeebadddeddecbeacdddabdabadbbdedddbeaededccaaedccaeedbcacbebdccebaddbbbcdebcdebaabebebececbabecebeddeededeccdcaeeceacaacaadaeddaabebecbaaccbcbbbbbebabbbbbcaecdceeabaabececcdaabebbbaccbecedadddeccbebaeeacbbbbebcbcbcaaabbbeeecbcddabedabcebccaadcdddcbeacbceeccdbdedaeecbbeccdcdebdccacbcbcaeedadcdbdcabcbbaaddceeacbdbcedbebabcccdbbecdadeeabcebeeebaacdeedeedecedddacacaedeacdecebeddcbcebecccdaabadddabceeeecccebdbacbdecbbadbbeacbcceddbebbabdeacdbeaaeebaecedeecaeccbceccaaecbbbcbaedeaebaceedbacedbadeeeabcccdbcecdedebcedcaaedbbcbddbcdceeeacabaceaeaaedadacaebbaceedebbceacdeeacadaccceecedacbdebbcbaeebdcaeddeecdcbcedeedaddddceaebabdcbebbeddcbceaadedccbeacdacaddcaeaaabdceaeeabbbbeabbbeabcebdcccaaabaeaadebeccdbebcadbbeacdaabeedbdeecbeacbceccdeccddabaecabbcccddcabbaeedaeeebcbeedeccdbcddddabaabbceaaeeaccdcccbdbecedceeccdededadecedadcecaeeeedceabbecabeeaebcdadebcbccbccdcaabbebcadcddaeacdecdabedcceddaadebdeecbaedacdebcdbbeadecabaadacabbcedaccbeecdbabadbccdccbaebbbbbadadcbdaeebeceaddaaaeceedebcebcdaaceaaebbdabbcbaaecabbbddebbeeaeedabedbeaccbbebcbdcaadabcdbeeceabacccdebabedbbeccdbececceceaddddaedabcabebeaeaeaddebabeeabeacbadabecdbebbecdaccaeadadddcacbebcaaedabaaaddbacaeeacbbbeeddbaedddaedbcbeacaadcdcaeeaabbeebebadbcdcbdcadbdbdbbddcaacbaedeceaebaeecbebacddadabcbbbadaeabedddbbacdbcbeabebaaccdacbdbbccedcbedebcbddcadaecceacbbcacedeaabebcdacdabbadeeddeccabedebedabbacdbcadbacccebbaebebdbdccccabedbcdbbadbdaebeebacdeccaadacdcbedceccdecceeaacebdebbabeaabdeecdcebbeaebdddaaacddacaeedadaabddeddeebbbaebeedaeedbbabddeacaebcaeeccbdabcdadbcecdebeedbbedbcdaeeccadddccaaacdaccdeabbceadeddeeacedcadcdcabceeebeedaeacdeeaeecbcccbbdbdebbaecaeddddeaacccbbdeabcaecddaaaddddacdeaedcddbacdcdabbdbeeaecedcdecddaabdaecdeceaccddbdaacbbbdbcbadeecadacebebaaeacdeebacecbddcdcbdbcceeaceecdeccedbcbbbabccabaeebdeaeaeaeabaeddbbaceecdeeddacdabceabbbeddcbaabbcbeeaeabddadcccdcaaebdadeecbbebdcbdbbdddcddcedcabcaacdcbacebcdeedcdceabbdbbaeabcbccdceceecdbdbeaabecdaeededadacdaecbabaeeecaeadcacbcdbdedccddeabbdbbdaecbddcddeaebbdccecccaeadeaacddceddbaeaaacceacdcccabdaabcbccebbbddaccbcbbdbbbdbbcebaecbebdbcdaabeebcaadbeecbdcbddabbcabdbebaabcceceeaabaedaebceeeebaceedcbaaccaaedcaaaeeeddbbcadcabcddadcacdcebeeebdacbacdccedbddbebccbcaeebdbeeaeabbbeeadeeaeccecdabcdbcdaacbacdaddacdabcdbeddddeaeaadddbdccaccedbebedecbbbdeadbeabdedabbabbccacebbaebbdecdbcebdcebacadceaadbacceaadeaeecdbccecdeaddeddbbbbdebeaaeeebddeddbebebdacdceceadeeddaedeeceeeaaeebeaeaaaebaabdcdcdcadbcbecbcedaedabadeeeccddaeeeaabcbcbbbbbaddbdbcabcabacaaadddcbdaaccaadcdbdbbeeacbedebcaeddadedecedddbbdbdbacccdddebceaebacadbceacbdebabdadabddaedabcadcebcbcbdcbcaaaebeaeeaedbdaebecedbbcbccaecddebbbabeabedddebaccececbdabcacccecabcedbcccacdcdaebdbecdbebbebbaedcebaebcdbabeedcdedeaeaaddeaeebaabecacddeabbdbcbdaecebbdeaadccadbcecdeccbdecdabaceacccecebeeccbbcacccbbcdcccbbbacadeddbdaaebcbcadebbcdbbcddccecbbaedbdbccccaedbebbbbdbdcebdaadbaccabbcbbdcbbbccbabeadeddceecabbaeecbcbeebedecedccaecbdbeaeeeaaadedbeeaddaecebbaecadbbedaeaedbebeeadceeeacdcaccaecdbbdedabacaddebebadbdadbeeabbeabcadbdaebdebcddcbdeecabbbdcbdbdebcaebcdeaaacdbbecdeaedebcdcebbaaaacdabceeaaecbceccacbcdbbdbabbccacbedeeacdddddecdaeebbebeccacbcdbcdedbdeadebdedddbbbbcdaeeeadbbaedadbbaadabcebdbecaceebedebddecadaceecdeadceecaceecdcdcecddaddbadedeebacdbaaabbbdadeaabcbbeeeeaaeeecdadaccaeebeebcddbdcdeaabdaceacaacedebbedabecdcebdabeebcdeaadeaadebbbdcacaccaaecddebeedaaeebcdaabbdceccddbbddddabdebcbbeacddbacddbaccaedeaadcbbebaabbbebacdbcecdeeebcbcbeebdaaabadbdeacedcbdaadbbcdaacaecaaeebcdaadaaaaaededceddaaccacaebebabadaedbcdeedaceaaeeaccedadaddcbadaaecdddcabbbdddadccedadecabdbcbebabaeebaeeddcbdbdbcbdababdcecadbaaadeebabacadddcecddaacdcaeeaaaeacadbbdcdcebcaebedbdbdecdabadcbcccbababddeaeaecacbdbabbaeabdabbddeadcbebaaaadeceecaaacaadaddccdbceecbaececaadbbceaedcacdcbdeabbbbaeeebedbccaddabadaaecdabceeeddcaadacddaeaecdceeabaeabdccbbaddddbcacdddddeaacaddaedbadcdebcbaddbadecbbbadbaedbeaddcdddccbccebcaaeaecbbbbcedcdacdeaeaeeddedaecadcbdebceccaeedebbcbbdabbacdaccbaacdabbadcbdbeeeacbadedadddceeebdbbbbebaabbedadccabaacaddcaacbdceccdeeebcbabcdacecbdddedbdbadecdbceddcaddabcaeaeaaacdeedeabebbdabebdcbbdcacdddbdaaebecdbabeedceebabdaddedcdceecbcbaacdeeabdeaaedeeebbceededdddbaacebcdbcdcbcedcbcdadccebdcadbdcededbebcaeecebdeeecacacecedaeddecbeabcedbabcdacadedadacdcaadeaccdceeccececdeebbaaccedcabbacceebecbdaaedcbbbccdeadedaddccabdccdabbccaccdaaebdceaeebcecbaeeebdebcbcdcbbdebaadaeeeaceaccdbbaddbbabbedabdedbeebbddbbcbcbaacadeedcbbcebdeeeddcdbbecdaaadddadcbdcaeccbcededdbbcbdeddddeaabcbabbedeaacaddeabbdceeebbadabdacddeadedcbebeeeaebabddeedabccdaaebaedacaabebaebdcccdacdadbcddbbbbdbbcaaeaccbbdbaccdcdbdedaccbeeaecdaedadbcbecdcbbeadaaaaeadacadbcddbbdedaedbcebeebaccdceeeceaccdbabdedebeeadaddddbaeacddaeedcdcbebadebceaacdddeabebbaddcdbdabaacdeabecaadcccedcdadacaceccbaadbdcaaabedaaccdcdbebbdeeebbcacaeebbacddecaaccebeabebdeadadbaaebcaeadaccdecceaabdbbdbebaebdadeaadeadcdedbbdacccddebedcdaabddbeccaddeaaceedeccaeeaacaebdedceeceebabeebdebecbcedcdcdbbbbbdcbaeedaecccadeacabeccacadbadadbbdcbaddeadecccbeabccddeddadddedcdbdbdebaddbdcbdacbebacdeaeabccdddebebdeeaacbeaaddabbbaeccbeaeabdabbcbaaedbdabebbdcedaabcdadecacbebdaadeeedbcacbebdcedabcdadabcadadbcbcabedecebaaacaabacddacaecedcaaeadbcdaeaecdecddadebcabbbadcbbccbacbcccdabdbcdeacbbddbdbdbbccdebaaaededbadbcdebeacdcedeabaabebdecadbdadbaddccbdacdbebeadbacbeacbddaddacbaeedcdabeaebdbceddebcabcaabddaaddedcdbacbddcaadcaaaadaceababbdeedaaeadeceabdadcaeaacccccaaecacbbacaabdcedcdeaeadeeedabceebcaeeadbbabaacccabcbcccdacbccbbbaabcbecbdeaaabbeccdcdbdceebcdddcbaaaedabadbabcbaadcceadacbebaeebeacceaebcccebcbeeaaeacceeebbadcdacaedeaacaecaaacbdebdebbdcdbcbadbccbcaabccbcacddccaddedabdcbdadccdccaebcebceeccdeabacbccccedcaccedeeeebdebaedaccebabbccccebeccadddedcadadeecabccaabcbedcdcbcebecaeaebaaabccbeacadbacebabccddcaaccbbebaeaababcbeebebbcbddceaddbbabaedcaccebcbeaeeccddcbedbdbdbedebdaeeccdcbdccadbccebeeacbebadaddcceadccceddebdbbdabbcbbceaaceedaeecabccecdcadeabaaecaaecbdeeccabdcbedecbbaebacadebbeacababbacaaaebadecbaddedcabbdddacdbaaadacddbbeeaadcbbadadbedcaaeacdbacaeceeaaaabcdabdbdecebceeecddbbecbbbadbcbbdebadacddbcbecaebbbdbbbccbdabdcccadbddddecebecdbaaebaebeebadcceaccedbeeccbdebeaeadeedcdbeecadeedbeabaccebdbaadadbaaebbddbbdddebadbadadbbbecaadbbdabdbcacbadcabeacbabebbbabdeaaabbaddacbbaecaedbaceaebcabedacddeacdedcdbcbbbebcadddaccdddaddadaccbbdbccbdcedecdedebacacebdeadceeabaeecedcdaacbedeaacdeccbadeabbdedcdabaceaacccccddbebaeabdebedbabcbaeecdeeaddcdeebbabcebeacaecadadcccdbbcabacbaebcdbabdccadedbdaebdbeecabeddaccaeaaeedaebdddabadddedbadcadbaeabceacedeeacaebadbddadabadecdabaaeeecdbedbbededededdceabbedcebdbdedeadadcdbebdeebccbedbabdbcabacacccaedaceacabdbdecdbbdcbaaccedeadbacadaccebbdcccdbdeecbcbbddaabbdcbeadcecbadedeadcbdcceebaebcbcbeccdddabedeedccdacecceeebcedbcccacbdedaaccbdedceeeebdabecabbdccdccbeadadddbdcdbaeaedeecaaeddcbddcdaabaccabbebebaababdacaebaebcaaceebeacbdbcededaeacbdccdbaadbacbaabddebceaaddcddeaeaabcbcebbcdceeedddbeebcddbeadcabcdacddbcaaaebeaecbcccaecbcbecdaaeeccdddcaadaedabdebedbeadcbecbccccdabaebdadbcdbabeebdbdcbbadbbcaddecbbbcebdacabdccccdaeccbeaedabadbcdbcacdeecadcabadcdbaeabeaddbacdedadcbdddabaaebaecedddbedcceaebdaeddcbcdccccabdabcbdddaececbeecacdeddecaccddadbcacbcccadbdbbaccdaedcdeebaeadddcaeeeedbaaccaecdbedacdcecdbaceeddcccceadebecedadebbacbaababdaedcdcabadacbcdcaecebcdaeaaccdaaeeedcddabdebeccdebdaeabdcbcbdccaeebbcdbdacebeebeabadebccbaebdaadadceebcdabdddddcaddaddeaecdecbceddcbceedbebcbacbecdeeebeacbebcdcabcaaabeedbabacbbcceceaebbecddcecebeaeaeddccbddaebaedebabaccebdcacbadbddadddaeebebbdeddcbadeeddebabcbecedabadbdcebecaeddbbecadeebebeceaeaaacbbeaaabdcebceceedabdacecebbdbbcceaaedcabbbbdddedddbedcedccbbaaeecbdacaceccaabbecedcceeabecdbacddbeadcceeddcdbaeedbdbeedebcadeadebbbebeacddbeddaaabdebebaccebededddecaeecbbbbcbceddaaaeeddbbeaedbbaceeadabcaeeaebbacebedabeecedaceaaaabdccccdcddbcddebccaedadacdcdacedbbcabedabccabeeebabddccbcbddbacabacbbacaacdedeeccceddcaaaddaeddeaaebdacebdacdeeecceddcadaccbebdbcbeddbccbbbabbceaacbcdbdbbbadbceeccbadaaedbeeaaedeeeebbdeeeecdbadacaccdccaeecdddebeeacccabddbcebcadedecbaabdabbdbccaddbceacddeecddcdaeedaeeaebdceeccbacdcaeaadbecbcadbbebdedaadbbbceadcadabbecaadcaabcbaedecbccdeedcdcecebcdedcecdadaacaccccaaddbeeaadddcdcadcceebebbddcaadcdaaeeccaeabdacaebdacdedbdaecdaeebeaaacddbcbbbdaeacedcceeedbaebdabceccbebeadbaaebeaaeeedccdbebaeadedccbabceddbddadccbecbecebccdedbaabaceaaaadeebdddbeaccdaabdcbacdaabbeabaecaaebbabddbbcbedeeadadccbadddcccbbabdcaaedebcabadcbadcecadceebdcabebcaeccaaadadddabcaaaadbadecaaebedccbdadebaedbbdecaeaaddecbeaedecedaebedebcbedeabccbeccecbeaeeebbdeaacbcceaabacbdacdbeeceadebdaadccbcccdeeeceacdcabbacebbceabaeabdbeaedcccacbeecdacdeaebbeaadbededbcecddaeebdcbcedbccccedacaaaaeaeebdcdadebedadacadadadedaecbdedcdeaeceebabbecdecbadaaacecedaddedeccdbbdbdcceebdaedcdebceaabbbbebdadecaddbddcabdbcecbecbecbedcccdacecbedbeedaecebcaceaaabaedabdcdeeadbadbaacaebacbceaeeacadbdacebddeecbadabbecebabeedbcceeadbbabeaabdadbdaabaabeaabceceaeaadeeaacedecedbbbcacbdaeecadabaddaebdceddbaeececcadbebdacaeecbacddaeecacabdbcededcaebbbaebbbecbceceaaddcdbacdebceceecdbcdabcaecacdaacacddcdabdedcadaddaeeaeabacbcbddbcdcdacaedcbdceaeccdcdcdbcdbbaedacecabccceedacbcaceedbeacbedcaceadeabcdabcadabbaeaccaeacedecccacbccbaaeacbaacdeeacdedeadadceaeabcdaeeeceebdecccbdacaedbaecbbedaeedddabbbecaddbcbcdbbcecbdacabecabecdccdcacdebdacdeaceaeeeccbebdbebdcdcbdeddceccebdbceaaccecbdddeabdedcbcceddedddeeebbeededcadcaceedeeeddcaddcabdaaebcdaeeabaddcbddabcabdaccdecdebbeeaaeaabcdbabccbebeabaacbcadcdbdedddbcdeaaecdecceceddabebebaadcbedecedeecaacebdccdcdbcdedcadddbcedcaeabceebedaeebabbabedadcdaadcbbadaeaacbbaebeacdddaccbbedaabbcceebeccedabccbbacdbdababedaddccaccecceddedddaddccaeeeecacbbebaecebcdbcdeeedcdddedabeecdabbcbeaaeacbdabaecdacdbaebcecdccdecbcccecadaeaddecebcedaddcebcaebddadbdbacdeadabedebaebadecdaabdceddaeeeaebaaeacdccceabaaaeacbddadaeeeeedabaddedecdbbbeecabbbaeabacbceadcebacaedbeabebdedcbbeedccdbdadccaddceededdcbbcaddecdebcdedbecdaecbaeacecccacebbbbcecdcedeeacebebdadcececcebaeadbdccbabbbeadededcabaaabdcbbaabcbdbdbbdcacaccbceaeeccbabbdddeeebbadcadcbddccaceddeadeeaadebbdedbaeeacaddaeedabdcedccedaecbecedcdcecadcacdaddaceeacecdeaceeabedcdbbdeeeaabcabaacdcdeeebacbebaabaeaecccdcbbbeccddddeaadccbebcbecddeecadedabbdebaabcddddceedbdcaaadcaacbdddeedeaecbdecceabaadcbebaaeeebaaddaedddabbaddaeebacecedcdbcceacdcdbcaaabbacdaddcdbbbbacabcaccdaadbebaadccdadbaecebeadaeeaacdaeedadddccbbeaedcdceacabcdabbcaaaacabccbdabbccdccadeaebceebcbadbddacadccbabeabedecddedbbeebaabdabcccbebacadceddebbbbaacbcecabccbaaeddabccecbdbedcbcabdcaaaaddaddddbeeabbcceeccdececeaacdcedcebbdecceceebbbaedbcdddbdcdebdbdbacbacccdcadecaaaccabdeaedcbbccdadbaebbebbbebeacccaedcdcddbcbcdeaedaecbeaeaaacdbaeeecbddbebabaceadebdeaddeaebcdeecdcddadcdebcadebdbadedadaeaddddddcdadbacdbdceabcacdcbdaddeadebaacbbaebbcbbbcdeddbecaedccdcbecbcbcdabdbdabaddbabceeddcacaaaaaebdcdcaeabeabbdbadeeecedbcebdeadaedcbbeedebeddcdcebcbdabdebccddadddcbdcdecbedaaddcbeedebdeacdabedeadebdeaedabdbdaeaccacddeddcbabeceaccaadcccabdbbdedccabaccdcbccebaeebdeaceacdddcddbeaedecbbeaddaddacaacceadcccabcccebaeddbbebcdedecbebbdcccebcabbaeddeaabdceedccccdaceeeaddccbcdecbbeaebbdddcceabbcdbecbaccdadeeceaaacadaaebadecaebdaedaaecebeebedbcdeaeecaaebaccdcdeaaceceacabeadeacdaeabcdbeeedbebeaeedaabdbbabceeeaaebcdecaacedcadabeccecaebadadeaadacbcdadbdadaceeadebccbabdeedaeeeeadadedabcbbabbadcabaadadaeacabbedeadabbbeccaebaacbdeabacdceaeceeccbeecaabcbcecbeecdedbcaedcabcbaecdbcbccceeaaadececadbabedceaeadeadcccaedceaaaecadeccceedcadcdacdceccddbebeeccdaddbbcbcdacbacaaacddbbecabecdeeaeabdbaeedccdabddcccacadeedbabcbecbaeaaddacdaadeaccccdecaccbcaabbbdaebdadcbeddeebbddaddabaadcabcececddaacacbcaacdecededdebdebdebdbbccedccadccaaddacaeedabadeaacdaaabaadcaaaebeebbccbccedccacecaebcbadcaccdaaedbedebdddaadbcbdcaaeecccddbaaeadadadcddcbaabdabacccaaacceedddcbcdacaebaaebecceaccedacbaabcaccbdaedbdcddabbbbbbdcdcaeaeabdceaeeecedaedcdccebbaaccbecbdebdcbeaebcddbbebcedadcbbeeeaacdbcebbedeabddacacddacbebaeebcbcabbdebbdeaeabccaaddbdeaaecabbbacdeccbbceeaeaeceaacadbacbbedaeadbdabeecccbeeeedddcacdcaaebbcaabaaedecdccebaaabddaeacccbddecccaeecadcddabdcbebcdecdabbcdbcedeedebddbdbdbcacdbacccbbebdcddebccdbcaadbbdaeeeacaebeeabcbaeecebcabcbeddabaededdebeedbeaabdaaaedaaedacabdddabdcedeabaddccbceacbaabebdbaddcbedadecebabceaabbaeecccccabeeadaacecddbbedadeeeebbaacacdccaaddabacaedaddeaeeeaedacedbabbeeabedaeaeacabdaabcdeedacbbaabeacedacbdaedbdceacaebcabdaddedaddeccabdecdbeddacceddaaaecaedadadcbaebdabecebeedaadabceddedccadedcaacbacadeaeaebabbcceddebcdddcadcdacbbbaeabaeceabbdedaebbabcbbbabeacbeeaacbaacdaeacdaedabbbcdcbcbcabbdbedbacdcbcddeeebaeaacaaababbdcbbbdbaebcdccdeeccdabaaaebaddcebebedbaaabdaebdccbccccbdbaaaeedddeaaaaebcaaaaeaddadaecdbbabadacebbdabbaaeacaecadedbcacecacbccdddcbdddeeacceabeeadcdbabdbdccebaaebeaaadadeadaaeabbecdcabcecaeaeadddcbcdbcceebbceedaeeadaedebaecadbeddbebeebebbecceabbaeeeadecbecddcababbacebbcebbdddeddaacccebddaaededaabcaddaecbcaedebcdbaaeaddbdabadadbbaecddaececedabacabdcaeeddaaedabeaaebccbaaedaccaeaaabedcdaceedacdeadcabdbccadcebabacbbbbdedeaeddebbebedcbcababccbccbcdadaedaebadcacddbeeadadcbdddcecccdbeeeabeabbadcbedcabcdaaabddabbdebeddbdecbecaeaacdcdaabedabebadecccdbedbcaaecdeaeecacdbdcedaecbeeeddbbeeaabecadcdcbbdbcbacebbcddbccdcabdeacadccdeadeedbaceaddcabccabadacaaecacbcaabcbdebbbccabaddaecddbcaaadccceaecdecdcaeaaeabccddceeadcabebaaeddabadeedaddbdadbcccdaaecbadebebcabeadeceddbcedadcbdcbacbcbaadbbdababecdebaaabeedaebabdddecdabbedacaebddeeabaacddaeddddabbbabceecebaeedecdabacabdceaacabcbabedbaaaebaaababdeddacaadedeeabeacdbbbbbbbbdcabeaddaacbdbcaacbadaceeaaaeecaadedcabecaacdcadadaadadcabdccadbcbcbcbbceccecadadadecadcabaaaedaaaebcbadacbaebebeaedaebaedccabececeaacaacbbccccdebeedbdbddadcdeebddbdcbdcaaacccaaebeeedbdaaddccaedbaacbcdceabdecebaddadcdcbcbdbaceacadcaaecebaedaeadcccbceaedbaadcdcdaccdcccdacbbaddcecbdceacbcedebceddbccbcdbcdccedbddbaadbbaceeeccaaeaeadddebdcadcbadacdabcbdddeebdabbccbbedecdbdadabaebebceeddcdaaecddbbcabedbccdeedbdcacaccbdacaabdaaacbeeeeedecbbceacdccceebbcdbcaecbcebdbcbdcbdcdcabcaccdabaabccaabebededecabecaccdaabededdecceaeacacabccceeedaddcedaaaadcaeedadbdadacadbcacababbaceeddeedbbeeababcebdcddadbaadcdabbacabbcbdebddbddeaebdacbeddebadbddeeaadeadcbcdcaccecebbbebeeeddeeeeaccebadabbabebdccecbeabbabccbdeabeedbcebbaaaccdeecbadaccdabbbaaaacbebddcbbeecdcdbdededdceddcecaecbaacbdbbdccbcccbdedbdceebccdadcacecebaeeedceeebedeadebceeacedcbededabbddcddeebacdadaeeddacbabdccabbdcdbcdcaaeaeaeebaccbbcdccddbbadebebceecadcdebadeeabeceeadecaeecddcadccaabeeddddadedebabbbdeeabbadaebccebbaccaebbeaeaebebedccacdeeeddcddcbcecedeeecedcaacdebaedaccdeccaccadeabdcaaedcaabdabccdbcadbadecbaaaaeadecedcedddebbbceaecebbadbdebdbbccdbddebebbcccaebbddcecccbadcadadcbdddccbdedeecbbbdbeaccdedddcdbccbceadeaebbadabdbcbcbadddcacceadaacbbaadcaeeacaccdeabcacdcabdeacddcaddbbecebeeacebaadbdceecbbacedadbcebdaaedbacdabbadbacbbdaeaaaddcecebdceceebabacbaeecdcedbabcbcabaebddccdceeabcccedeaecbceabdbaeebeddcceeccaededcbcabcdeecaabbedbcdcacdeacbadbabebbdecaaabaacbecdddccaadcbcdbacbdcebedaadeaabbddbdbbbcdcbedbaeebeeeeeabaccbecbcbdbcaccbbdececddbeaecabdbadcececeadcdececaabebbcabcdddbcaaccccdeebeeadadacbcebbdcbaadaacdedeecedbeddebdbadbebeecbbeadbbeadddaecdccecbedecadcabbceacaaabbebeccddaddbeebdbceaeecdeaabccebddedceebbdcbaeedebecbededaabccacabbaadcebdaecbaddcedbebbeaaddcdbdedcdbabebeaedaabcbcbeecaedebbcdabbdaceacaaadbebddebbdccebbccdcdddebdddbbbaeecebbdecdaceebdbbccabadaabecbcaaddbaedbbacdbeeccadbeedabeddbacebcddabdcaeeacbaedacecedaebbdcaccaeeedbdbdebdedbcecdcceaedeebdaabdaceaabeedbaccbbcbddccdccdbdabbcaedcdcedbbebbdcdacebbeaabddeeccdaddabecdcbcbcaabbaebcdadbaddccbadebdbcbccebdabedbcbcbceccececabaebbdabddbbebaccdcbaacdddcebacdbaaedbbdcbdeccdaeecbdccadccebeeddedcadecabeedacbdeecedeebeebbabbbdadaeedebbdbaedbbaaceaebbcbeccecbabcbeeecdeeedddbceacaecbabeceeacabdbdedceaecbbbcaedcbbdbeaaebdadacecbccbcaabbdedacedbbdbcabcebbedeabadaedbeedbbdbbcceccebcababaeecbbddcabbeeeaebbabedccdcdaadcbbbeacdaeaddbeabadadcceaecbbbaeadaacacdaeedceecbedcddeeaddeccbbcdddcdedecaceedabedaaeabeaacbbdbcdeeebcdddcaadcabdbbaaaeebadbbdabcbeacbcbddaedeecaaabababadebebcbdeedbbddaceceecacbaddcebdccabccaeedecedcdedcdeaddbeadbbabbddbeabcdaeeabeaeccecdabcbebcedacdbebebdcddaecabcbadcdeebdabebeddbadeaccdcabccceeedaebcaddbaacadebcddacbbeeccbaaaacdaaaeeedecedaceebcdbeeeebccadbdcacbbabbeceddbcaebaeeeaddcbdceacabebaccdbecaddcabebaebcdbadaabcaddaaebaedebbeccaadccbeabbceadebcacdebcadedbcbdadceeedaacaeedaddadadedbdbbeadbbecededbeadbabaecccbdbedaeecbeebaacadabbcbcbbbbcebdaeabccbbeacdaaabbdbbbcddadcebaaddecacbbbacaabebdebccaadbdbabcebcaaccccceaeedecdeacccceeeeecdcbaacdaaababadacddebbabbaadaebeeddbeedbedcdcdadebadabcecebaeddeaabecccceddaeecbacaeaedddabdccceeadacecdeeddbaacaaddcaaaeaeaddadecdececbadabddbcaeacddcbabdaebbbdbaeaadcbedaabbedbaaedbbdbabccedcaadedabaaaebcaaaeebdcaaecddaadbbdcbabadcaceaaeaabcbceeaabbddbeecdcaaaecdaedcaaedaeedeeabcadebcebbaddadbaabdcaacdcbeedbecabcebbcadcbbeabcdecddadedaaaecbdbdaececbaaedaedebccecacbabdddddceedceaebaabbaddacaadbdaaaeeabeaeedcdbbdaadebceceecdbcdeaacccdabdbcbbaaeccbacebccbabcbebacaebbaaaedcedddebaeedacabcacecabccbbcadaccabdaebdaacaddcdeeaaeacecadbaddaccbcaacaddaeaceecabcbcdebcdeddedddcddbdbcccaddebaedcdaeaedeacaddcbbbabdaacdaabceeebeaadccbabcdeccabbccdddbcaebbcebbdebcddddcdbcbeebabeeccaabebbeeccabdcebaddadadebbeaacbaeddaaaacbbddeaaeaccbcadbbeacddbabbebabddaceedacdcddbecacabcebbdcccecdbaaadabaaededbcadaadaddeddbcdcbaeaedcdcaabaaebaebbacdbcccdaeceecbdbcaabdbbebcbabddcaaadeacedaabeaaecbbdcdbecbedadcbccecedeeaedbdddeebebcdeabacbbcaedaebacbeaabadabeabbebdeecaecdbdbbcedbeebebdbadbbbbbdcaacdedaacbdedcdaccdebaaeadbacaaebecaabbdedccdcabbacacedadbeaecdccceeadbbebaeecbecebccabdcaaaebaabadedcbadddeeebeeecdcdcbebeccbbdcaacdebacccbaadeeeecddecedccadadebaacbdcecaeeebaedbcacebaeceabcbacadebaddeaedcdadeaadbedbccddbcabbcaaecceccccdbbbdedeaceaeaebdbaeabaddbdbdbbacdebcaccdcdcdeecedbdbdedcecebadbacecacedacbeeaaecdeeecbeacebebcccebaeabdcadccdacbdebaadedccccaabeeddacebbebecbedacbbdeacebdcaccbaddbeebddbddebdccebcdaeeacecdceeeedadbadadcccdabcaebbeedeacbedebbecaaedebcebbdeceeebcedecedccdcbcacbdadbeacdcedceadccbbdeedeecccbddcbeccaddbacbcbeaedabbcbadacbcccacbcbcbaaceedebbbbdaedbdaccaacacaeeebbeccababcaedaaeaaebcbbcbbcdbcabaecadbebacddebabdadcaccecdcbabebcbccabaebcabeeaddcbecacabdbdacbbbaacdcaaccdadcbcbbddaeacbdccdeaeaecedebbedaccabecdccabccadbabbabeddeebbbebeebedebddebddcadeacdaaecdbbeaabacecbcadecdaecdcadabbcdcdabacbdbcedebcadaceddcdadebdabeeaabddeeedaaeadbedaeadaaccbacdbccaaacbdedaeecbaebcdeebabaddccaceebdebccdaceadedebcebbecbeabddddedacdceaceabbabbaecacdbaeabbeeceddbabdedecbbddbaceaddaedbdaceaeaebbabbccdeeeddabcaebdbbcbbcccedbaebbbbdadcdecddddadabaddabadabdbbcecbbcbbeeeabacdbdddaedeedeebeaeabcbdeacbacbcbebadeabdceacaabbbaabccceaebddceebbbaedcaecccaabdecceeebeeebccdbaacccaebeaddadacabbecbaccdbaabaacbacdbaabaddeeaadabedabcadaaaeabbadeabbcdaebbeaaacdabeaccabbacedbccededacecbcdadacbaeebaeacebebccabcabdbcacbbbdbbbebcbaecdcedcceecabcaeceaceedecadebbeebdeeaecebdbbbedcaccddebcbcbebadacadeabbaeebddecadddaabdcbaaaecdcddcbacbaddbabddecccdbbcbbaebccbdccdbbbacaaebebbcebecacbdabcceeebcdbbdcbabebcecdcbaedeacbdaaabbcbbbdedbcbdccadcbbbcecccdedaeebbeceddaeacaaedadddcacccbdaadebcadbecdaccbdacddeddeadbdcecaddddcedabaaeaeaddeceaadeeebcecebddccabddbedaeabeaeaebbceabbccbeadbcdbdbccebbeccedbbcadbdbacdebedaceddcedcebceeaadabacadabbcadaddbecdacebbddeaceebdacebaddaeabcaabeaecaacbacbaccdadbeeaabeaecdaaececcaceadaebdeabeaccccbecadabdeabdaadedebcedacceeccacaaadcbedabeeccdcaabecbcaceeededabaeeaddcacaaddecabcadedbacddacdaeaaccbdeeeabcceebdddeacbedabebaaedbdbbedddabddebcbbccaddeeabbeaddceeaeeeeccaabaeddedbccceccabdbdcddbcdaebaebadaaeecddcebbdbabbededdccebcdedddaabbcaeaebcbaadaedeedccdddcabcbecebdbaeacdaebddebbaececdedecbbddbcecbdddbeeeaccdcecbdbcdbeeaeabddbeacecbeaccdbcbbddecdceecaabddddcddbbaebaaacbceabbdcaaceacacbeadecdcbabebbcdeeabcabedbcedceeaaabcdcadcbecadebcddaaaeeacceeccbadeacaddebedbcbabebdedabbddceaaabcdbadaabcaebadbeccdcacbbacdecabecdaceddceddbcadebcbbeebcddbecabbbdcedaadeedddebcdaabcbebacaabdabdecbccedccbadeebeaedcbebaedabbbabbbbeadabbbaccdeebeadcedeacdbecddcbcdeecabdadcbdcadbaeabbbbdacbcdbabdedcebecaadbaaedcedacaacdbbcbdccecacccbaeaaeaeedaeadbaccbccedcbbdcaaaebacbdeddbeecacccccdcdbbbeababbdaddaadbdaaacaaaebeecedadbadaeaacceebdacebcbcadacddabbdabdceadcccbbdbbbaebebbdecaacdcecdabbdedecbacdecdbcdcededbaaaedbaccbeecbcbbbeceaeeabdebbcbbccbedaadabecdecdcabacccbabdeecbcedaadbccadddeececdbceeaecbdebaaacbcdacebebcbcbabacbebbceeacdcdcdeaabdbbcdbcbadcddceecebebcbedeaebadbeaddddeeceeddbbcdecccebeaebedebbdbcdedcbddbdbbbccdebdbcceceaabccbbdceddcbcabbdcdaaeaccadaedcdedcdbdbacdcddddaaebbdddebeedbdeababcbabddbbeadbcaedbbadaeccbcbbecbeaddbcdeacbeccbddadbcedeccdebebbabaccdcbeacebeedbacbcedbcbdbeececbeeaadcdaabaebcabdeacabdadeacbedccdecbabeeceaabbeeecebeaabeeabbbcdaacabceabededaadedacdceadebbebbacbdbcdedaccccceacdaecdadbdabbcbdcdbbccbabceaaabecdceddadabbbceeecdabcdedecdecacaadaabcccddaadbcdaedacbdcdcedbeabebceebcdcabedbeaeecabcbdcacbabcebbdddccebdcabdbbcadbeeeacdbadaaecbbecdbdbaddebdaeadadbebbbbeebbaecdecdcdaacabeebcdccedbaddbabecaededadedddbbdbabcdbcecabbdeeebcadccdcaecccccbaeecebadcbdaecebdadcebbbdedbaaeeaddccabbcddabadcccdaadadbbaeecbacbcddcccdeebcacdbacdbddebaeedbaabbeeedddbbbdaddbeeebcddebcedcbabdaacaaedecccbbdbaebbeaeaccddbbbbcacdaaedaceaddbcacaabcadbcbeeabcbbdcbbebabeeebaabcdbdddaceabddceadccccdadcaadbdcdbbcebeebbccccdebbaacdacdeaeecabbcebdebadbecacabbdcdedacbeaecabcaacdcdbebcaeaecdbecadedcbbcceccdacccacedcacebebeabbbdaccbbdbdaaedbaeeebbbcaceebabcccddaacbcceeeaaaccdaddbedeedcadbeeceaddedebedaeaaaacdeedeccedecaeaacaadccabaaababcaeccebcbddeecbbcbddbcceccbceecebcccebcbdeedbadadbdeebccdbecbceeabcbeaecacaabbaaacebececbbbdaaabcaabdbaacceacbdaaecccaddccaabbddcbeebccdaadbdbacbbdcedabaaddababbdeeddaeceeeabdedabeadcebdaccaebeeececbedacecabceaecdbbdaaccdbccbaadeadbedaaececabeedcacccdcabdcccbcddebacdebbddaecaeabdbbacaeebbacadccecabdecbdabadcbeabacbbdbcbbdbdccbdceecaacdaadaacbeacadbcccecbbdbbaebacecbaecbddddacebebddcaecedaeedadecceaeaaadbeacdeceddeaebbeaaccadcbecedcdbebcacdeddeddcaddaecbbecabbbcebbbcbacccdcbcaadceebdceccabbdbbdbbcebeadeeadbdbddecaacdcabeaaadbcbcbbccceecbdaedeedcbaeeadcddaedeadaeaddacccecdccaedaabbeaaebaecadbaccadaddedbbeadedecbbabbbdcbbaccdcebbebccddeacacbadabdaadebecddbaadabadabbcbddcabadcaabcdacdbebdbaceaecbcbcaaedaddeaedddebaeceabbceeccedcabacbbbedaaebbecabddecabaabbcbbbedccbeebbcadcbceeaeaaabddcaacbcbcebbedaeaccadcedbdaabeedebcccdeddbbddecadbcbdbadebeeacececaedbacedbaabcbdedcadecadccadeacdabbeaddebbadbcaadcaebccdcaabeedbabccbdeaadabceeaeeaacdedadadbceddccebacabaadbdacdcaaadabcacacbdacbedeecceaebecddaacaccbdbbcdcaeedcebbbeaccbcebdeaceedebccedbdcaaeeadddbcdcedbdedceecdaedcbeeadcebacdeaebecdbdeedddccebbcebdacbaaaaaabaedacabdccdcecdacebebedcaabdbdacdeeaeabdddbabeedaeeecadcebbccaadbabbcbcacaedddbbadaaeabdddabecdeedcdaebadddcadabeeeaacbadcadebceebaeaddcdebedaadabdaaeeeedaedbeadacbebbbecbbcadaacaebeaecbaaadaaecbbcdcecbdbadbdabeccbaeabeaebcbeadebcbabebbbdebcbeedaeaeeccccdaabcdddbdabdaaceceadcebabadccebdabaedeaebdcedcebcbdddbbeacbaddbbebdebeabdbddaeeabcbddadebdbdebacdbbeccccdeeeabbeebecccedabbbbedddbebeecabaabbebbbbdbceebaccbadebaedcdeaaaeacdbcabeddaecbeccbbeaddbdbcbdaccbadaccdeaddaecbceacaacbbeecbcddddbebcbdcbebdabddbebbaedbddcedbabcbacaebbcedacdadaeedbadcbeaccdaecaecebcdaeebeaadcccbdececdacbdaedabaaeebdeabcbacbbaedbaceaaedddebcbcdeecccddbbeebabccdeacdcecaaeaedebcbceddcbedbacedacaeedbebaedabeeebecbedeececbddbbecdecabedcaebbabbcabddeaeaacabedeeedabcaacaeeaabaccaadadddecccaeeedeeaacadbbabdacaceecaccebadbdecadadccddedbddeacadbabbdaaccbebdadabdceeedcaeaaaaccabcabcbbecdbbdbaaaededeaacecaccecabdceadebedecbdaaadbacececaedbadaadaabebeabcbdddaacceccbacaeedabbacaccdacbecbebeaceddbddadceaddcbcdadbdeacbccbebaaaebbdaccdaedeabdeccdeddbdadcbddcdbbbceeacabdbdbceccecccaeaecddeecbdaecbcaaaceedabdedddbdeeabadaeeadbedebbbabddeeabcacacaeeddeebddcebabdaeeccbdadacedabddcbccccdabaedeedbcdbeabbdacaacabceacbeadebdbeebaeacdcebaceacadbbadbeddebdadbeeaabbabbbcdadeaadecbcdaaaaebbebeabdabddbacbccbbcdeceacddeddaddcabacbdaeeadeeabceabdcaabeccbaedeebecacabbaabacdeedabedaaadaecbaecebcbbaaddbdddabdeaaaacbaecbddebceadcbecccadcdcacabedcddcdebdccdeacacedbbeaddcaaeaeeccbabacabdccaaebdedbceeadeddebbcbcebbeccaeabcacaeabbdeeabcddebadbeecaedbecedecaecdddecbbcdbebaebcedeeaaadaaeaecbdbecaadecdedacebecdcccdcdddbecdecebeebdeabdbeabacadedebbccbbebdbbeedddcaacbdbdbeabacacceaebebadddcbdcdbbbcacdedaebdedadcdeeeeeeadbaaccadcebeccececdadcdccddeaeecdcddaeadbbddaeedabacbedcaebddbaacccccebbadbaecbecabaecddbdaabbbaabaedbdeabadecedadbebcbedcdabcacdbdccaeeddbecccbacbceddeeddeebdccdeaabdcaaccaaabdceeecdcadcbccdacbdcbeceeaceeaceaeedbeeedcabbdddebcbacebcbdbbdddbcdaabdeaeedddbaaddcaaeaaeccbceccdabceedbeecdedaaabcabddebabeabddbbadbbdbcbccbbbabaaaddbddeebecdacbdddedcadcbbcabebbaddbbaadebaabdbeccebdcddadcaeedadcedecaaccdcebcaecddcaceebecacecadbbbeeedccddbdeedaabaebaacbeedbaabebeceabbbcdacbcceeadbebcaabaacbdddeacabededeebdceecbabdceddbaceececebacaeedeabadbeabbbcbddbcdecccdbaebaceddcdaedddbeedabacbedbacaaaebadbabaeaabdcabdebbdabeddaaaaaddcbbedbebddedbcecbebbdeaeebdacedceeebbdcbacbddcaaecdedebdaacdbeaeaddaddbdeecabcbaaaeeddbcddbebabacddbccaebcbbddcadeabecbaeaabbaeddbaaadacdbeeaadeaddabcadcebaecdacaccccecdaaddeaddabbacdbaaddbcceecbcebeeccdcadcbbbaecceecabdbcaacebbdadcaadcbbdbbcdcddecdabaadccedacdddacacddaccccaeebeebaeeedabdbbcdddbcaacaeeaebbbbabdddcdeedeebeaaecbeaabbdeaabebeebacdecabeacdbbadddeaccededcbbeaabadccbdcaabccabebbdeddccdeaaebbabaadaeadecbddcdbbdebadbabacacbacebecedeccebcccadedebcddbaacadbcbbdadadbbecdabdedbbaaecbceaecbdbdbadbdceedbaccbbecdeadcdabcbeecbcebbdacaaeceaacbdbddeceadadaaadeecccccbbaebaaadbacdeaaeaeecdacebcbcddddcaadcbcdcdacedcbbcaccdccbdcebbddcaeacdbbdcaacbecaabbceeccbceacaeeaccaebaeccedcbcaebcbadbbabadbaeadceedeebcaebddadcbcddeabaadbceaebceddbcecadedcddabbcbddbdbddccebdbbbbdaaceabbebdbdebbacedddecdeaaaddaadeeaabdceaabcdeaebedeccdaeecededbbeadecccecabeeedcdeebcaccecedcaebedcdacaaceceaebecedeaebedbbcaeaabaecdcbbbdbaebbbdebdedababeccbeedbdecabcdceababdedaaaebccaacecacbadecababddcceabcacaebdabcbdeacdcebeedcadcaacbeaedadbaadeadcdccdabdbdbbeddcddbcaadaccbdaecaccdbbaaddcadadabacccdeacaeeabccccccbbbbebcebdedcabebdbdaececdeaddbcebbdbddcaedadcdcbbbedbcbecbdcecbcdadcccbbebedbabeadbcecaabdcbbbbbcabbcdedbeecadcbeddaeabcdedabcddcebeebcbbeccceddebdadedbbaacbdcbdccccdcedcbcccccdbaabebaaccededbbbddccacdaddcebdaecbbaecaedaaadcecaeeceadcceabeebebaabbaadacadaeebedaadbccbcceedecbabedaedcdcbebdadbebacccbedeecdeccaecabbeebabcdcedecebddbcccedcccbcccaadabaadeaabaabbaddeaaddeeeecccbecbdeaceaeecddbadeaaceedcbacddaadbabedebeeccdeaeabaebaaedcabdaaababeeceaabbeebaeadcdaebeaceddbdacddcdccdabddeabbcdccdbedbbebeeeebbeddcdbaccdbeaebceaeeecabcacaedbdbddbebbbaaaaacedeaddeaeecaabdabbabcddceccabaadaecedaddbebcaceaceabbbedecbbdcbbedcbadadacdedebcdceddacbdcddbbcaeccbbadaeabeadaadeedbabcbbbebdadaebcebaebeaacaecacbbabebcebdcccbababaabbbeeabeddabcbdaedecaaccbaedbcbeeaaaaaedeabaecabcbdbeacddaebaeedbeabbddecacaeeacacecdddcdddaceecabecedbceeadeaccebccdbcbededddaeedaabddbadbdaeedeaaedccacbccaebbaeebbacdeaebeaccbeedcdbbcdeabcabdaedbdddadeccbbedebcaceaadcbdcdcbdeadbaddbdcdbabecebbcaccdbeedebddedaacbaaaecbcdadbadaeadeddedccebcbabdaecdeebbdeebacaeaadddcaecdcebcbdddcbeeeebacbbccceeeadaebadcdeacdbabdbcdabdbdebbcabcbabaddabaccbbbecbadaeadddbddbbcdbbecbdedbbaabcceeeccdbeeeaddaeeebabadbedeeebbaddabeabceebaedbdadacbaadadeaabebccabacacbcdecbdbdabccdbeabdccbcdceaaebcdcaeccbdbdccebabeeebbdedecdebcbeebcaebcbabaaacecbcaeccabbbeecbcebaaacdcaebeeddeccdabcedcdecbecdbdbcdbcaeaedebbbcdbcedccbeaebbadcebcdecdcdcdedddceecbbaabeeddeddaacabeabdbabadcbaceeabbddabcababbebedbbaeecdcebceeacebdacbaebdeeaabddadbcebadeadebcdbedddcdcaabbdbcbeddcaddcaedecaaceacbbcdacbabdceeaacbdbbbdadcbdbacbebaeeccccaadaeddddbcbcdcccddabebdecbbcdaebabebdccbdeebcbeabedbecaeebcbccaaabdccceaabacecaadecaddeecacccbdeadeeeecedaacbcccabbadbdebaedbddeeacbdeeabceecbabbcbbdbaaacbdcebaacdbcdedbbddddeaeeecddadebdddcedabdedcdbbabbdcdeeadedbbddaeacbbdabaddbdcecaaccedabceedbbbcbcabcbbbcebeecaeeaaebdaedbcedaadbcacdddebceacdcddecacebebcedabddebebedecbcbdcddbeabadbadabbdbeebadeeebadbcecdbbcdaaebcdcdebecaddeabdadeddabccedbaccaceabccdcbebecaeccdbbcaccbdcadaabbbbcccbbcddceecbcebbcbaabbcdacebccbaceadeddddcdaebbbccbbbcecacdaeebeabdecdcadacceadedaaacbdabebdbcceadadabdedbdbacacddcaacbebedbcaabddcacbabaeadecbccddbbccbdedcaaeecddcedeaddaaadeceeccecdeaeaaeeccceadbdcccbeebbededabaeaabaedeebdcceadaddcceabaadaaeeaacbaceabcbaecaadeeceaabcdddcecadeaecbeaeedaabcebdeceaaeaebbaacdccdcbacceadcbccdbcebbbbceadebdbbebabddcdbceabdbbcebaeaaecbdceddceaeacbebcbedbdccebcadaddbbebabaccceeeeddcaaebdaebcaacedbdacabbccadddedcbaecacbecdbebaebebbddabcecbbcaacddaedecdccddbcdcdccdedeeeaabccebedbbebcdbceadcddbcabdcbbeeecdadaeebadabbdeeecaaabedcdabaabecaddccaeaedeaeecadedcdcbeabadaddeccdacccaabdcdaaeddeeabcbcedcdccdaeadaeaadacacaeebabbdbaeeddcdacabdddcbacaeecebbeceeddeedceccdabdeeaacbdcbeaabecceedbccddcceebedcdbecbdabacbccccbecebcccaceecedcaaeeaeacadbbdbbadaaaedbadeaabececddeebebcbebedbcbadeedcbadbbdaadceeeabdedbdeecabddbbccbcdbbbedcccaccebadeddcddecadbeeddcddbeadacbadccedebbedbaadcacedccaccdedcbabacebeccccaebedaacbebeddeeebeabaaceedcbcdadabdedadbeaadbeabaacbbdeebadcbeeacdcedeaeccebcebdcdbacdacaeeacaddcddacabeacdeedadaeddbebabdcebeacbbecbaecedddecbbaddbeaaaaeebccbbcadcdecdbccdedeeeaaacbcbcaeccbcdbdabaedcecedbaccacceeccbcdbcdeccacbadebbaeabccdbcebadebceaeeeeccaddebaaadeccedaecbbccadebbbdbbbcdbbacadeddbdadeacadcedcadbdcaddccbbdaaaaceaabddcbbbcccaccbdbbedbacdbdeddebddeadbdcecdabbdbbcadaedbecabcaeebadecaeceeadbceddcecdbadbdcbbeedbbadecbddaabaabedbcddeaabeabeaddbbebbebddabcdbbedcabebacccdcaebbaeedcaaedbcaabeacbbaecceddcbcccacdcebbbaeabceabcdddebedaacadcabbccbeddecebbebabaddedababeadcadbdcdccaeecbaebedbeaececacecadeddadaedbbabaaeebacbabbebeaaebcbacadaddbdceecddccdeaacdaddbaeceeadebbacdbabaaddadecbcbdebbcadbbdaeabebabdabbccedbaaebdbeeebbaeeaeaadaecbadadeedecdceddacdedcadcdecedccddadeceaaeedeeacdbcccddeebaadedceccdcbbbcacdabcabbbeddaccdeeababacbbcdececbbcebddcaecdabedaddeadebecedcbdbaabaceaebbdbdecaccebcadbdddabacddabcecbdbccdbcbcecebcedbdeeddaebeeceeececdddbdccdaceebbcacbaeaaaabbdacaadbddadebbeeddaadacaceaedebddbbedeebebeebddddbbacaccdeeceacdadecebcdbaceeabbceedadbeacdbcdaecaeecceebebacebdccbadbeeaeecaeccdedaeccccbdbceeabcdaaabbbecdcaabaeaeacbddcadbdcdabcceedddbaacdacbaeceeededebbcabbecbddeebbadeaaddecaececcbceabdaecedacdaecdcebcbcaeadcdcebeeacadaecdaabcadbcbceaabccaaaeacecaeaccacbddcdbaaabbadbaaedacecaadbbaadedaddbacbabedcbacadedebeacceeadcdadddbedbedadaedbeddaadbdaaeeabedcddbecccbaddcbedbebcecaacbeeeabbadadedbceaaebaadcbeabeeacccdbeabaaaddaeacdedaaaaceceedeecdbdabccacbdbcecaddcaceceabecddabadddeeabacbbbcdeccbdeebecebbbdbaeececbbcedaecaaaeddadbeccecbdeeaceeaecccdedbcddaabcabaacbbecbebdceeaebbadebcacdbeeedbcbbdacdeeeddddccececaceadcdeeabbcdbecbdebecbdebedcdadddebdeaeeccdaabdecdbbbbaeaedcebbaeccdcceaaaabacccbecdecadddadcacadadbdcdababbaecaeddddbbbbaabddecbdbeebdcecbcadcedbbdddcaacadcadcdddaacbdbcbbbeaadbdbceeabbddaedeaddbdacacdaceadbeedceecabcdbacbadccbeeeedbdcdedceaedbbbeacaceecbaaedbadcaebdbbadeddaddaccbccbcdddaebebebeeaaebeceebaccebdecbbddaaecdbbbccbedecbeceaaeaecdaccaccdedcbccecbbcddcdbcdccdacbdecacbdeeaedaebdbecdbdedcecdabcbbdccbeecedaaebabacbaebcdaaeecceedbabcaabddeaabeeceedecdbeabaebdabcdcbaecabaeabececdeadddccaaecbcccedcadedcddabebdeccaadebdeadbeaedbcdebdaecdcaceecbabbadbebdebddaeedccedabaebcacecdadeeedabdebcbdadbdccddabdadecddeaceabdbecbbeceaaaebccdedebbedcedbcbddeccbdbdccdeeddaebdaceaaeeaadbddaebceeacadccadbbcdaeaeddbccbebbcdeaddbbdbaabaeababacdddbbdbacdeceebdddcacbcecbbaaecbaedccaccadacbccdcedcbeededeeeccaccbeecebadaabbaadeeecaeaedbaddbaaadacbeeeeecadbeadeeaeaebecbeecdbcccccbdaeeedecaddceccbeaddccbdeaaddeebcddaeeeadebbabebedaedccbbbbabcaadeebbedcbcabeabeeccebcaebedcbabbeeeeebdaaaddabbadadaeaebbcdbbaaadccdaedeeaedaccccababcbdaccaabdbeccedebccaecbbddacebedaadcbcacabbbbcbacceeaeecabedaeadbeadcaedcdcdeeedacceeadaecababbbeaadebeebebdcaedbcacdecacdccbaaeddbebdbcccdadbeaeeebecaedacacebacbdacaaabbcbeceaeabeeeebccccbeadacabcdadedbbcbedbcccacdbcdaaccdbbbbceacdbbbdedcddeabdccaccdeadcbdceddaeaacbeacaaaedeaaacedddcacbcbaedadcececbbdaedadababdceecadabcdccabacdecbbcdccbecdcaaeaaecbadbadbcbadabaaabacdccadccadabcbaeabaedeccdcdeecbebcdccabdbdebbedaabecebadcbbdbbcddbeddbebdbeaaabcdbccacbdddadacdebcceedcaecddabedbbeacebceadaeebebaddcebcdbccebbdcaaabcdeeaaabdeccdbcdbbebdcbeeecdbeaeaabecaadbaeabecbedcdaaeaadecdedbbcecebdeaddbbeedcdedacddacddeacabeaeabdcbccccbacadaeeacaddcccecbebcaabcdcccddceaaddbabaededcdabcaeddadeaabdbcdbcdbeabadeabddcdadadbceeaedbdcbcebbbedcabbceecadcbdcdbeacaaeebbaaaaaaacabbaabaadddbceacedaeecbeccceecdbdebdbababedaabeebdaaaebeceeddedbeedacccddbdcbcdbeebbdbeeedcdbedeadedcadbdcabeaccbcddcedebcdccdaedebebedbcbadacacdddeaacbadaeacadbdeebcceeaaeddeabbedadbddbbcdabebadcecaaebbdbadddbdaacbedaadaaceaadbcddaaaedbceabcbabbdaeabcadceadcbabddacbababbdcbaadcaadedabcbddadbdebaabdaaabdeebdcdcdacdbbdecccbaccabccecabccdbbdddebeeabcedcaeeacbeeeededeaaaadbbeddecddacbceeccbdbdbcbabddadadbdbaddaeddedabbebeecddaedaddeeeaddeeeddaeabecaabacdcbecdbbbebacbbbcccaccedbdceebdbdecbadeecadbebcecccecebccabeeddabbbaabdbeecceaaebcbbaedcadaedebedeadeccaaceeeaeccaeebeccdaababaddececbeeeccbaccdbdaeaceacebaeaecacceebbcecbdbaecbebbbedaaccaecebbcecdcdeccebaddbaebbddddaedcaaceecbdeedddeeebbadecebacdeecbeebbcbcbdcbaadaceacecabbedeacabadbddceaeeaeabdeedbbbadbcdacdacdbeaedeecbcaedeaadedbdaacaaacbddbebeaabdbabbcacadabdcbecbeebccedbbddacdadcecbeedeaeceabadebbecbdbcaceecbdbadcaccdcbaaceebbaeeedcabeeaacebddccaaedbcadcabdaadaacccabccddadcbdbcdaedebdbeaeacdddcbcecadaaabbeeecdcbaddeaaeacaeebbaedaebddbaadeeaedbbbcabaeedbcbdccdbccedeeeedbeeececdacdccecbdccbcaeededbabedceeaedabcbbaaaaacbcaeedceeeaadbbccaebcbebbbbdbecedbbbddbebbcbcebdeeebedaeeeacdebaaeeebceaabdebeadbacccccadbaeeddebdbaceabaacdaeaecdddcbbcdaebacecaabbaaaccebedbbdbccdacecdeeadccedeeaeaaeecceeebeecacabcacebbadbabadecbdbacaeedaeaabbbccedcdeebaaceedbaddcdcbaacbeecedbbbabbcaddceeaeaabcebbaedcdaaccdababdbecaeebeabbbecbabdbdaaacbebbdaccaadabdbacbadeddccbccbaeaaabcbcbeddabadbaebabeaaeabaebcadddcebdedcbbeebbedddeebbdeaacdbedebcaededdbaedcabdddadccbbbbdebecbaeaddccecdcdeaecbeacbcddbadaaacddedbbeeeddddbdaadbbbedbbdbaebcdeabdaccbcdeaccbaaceeeebceccaeebabbeeeeedbddaddeddeebdeccaeaeaceeeeddcaaeabdcadeddaeddddbcaacaceaededecaedecedcdaddcabddbcabdaddbdcacbcaabeecbaaabaecbabbbbbdbeeedeeabcbeebaacdeddacaedcebadacbadedddcccedebcaeebcaaeccdadecdcacaeeaaceedadacebeaeddebacaaccdbaadeadbceaaebcdebeabdacdeececdeeeeaaacbeeadebedabbbadbaecdceecdaeddabcbebaadaadadadecebdbcccbdeeedbdeadceacecdbebbedaebeeaccbaeccbbcaccbdbbaaaadebbecadbaebeadddbbabbcddacadcccdddababeaccaedecdadeeaaebdacdaabadbacadaaadcadbeebddebbeeecadeaacadedcddcabaceeebdadecceecaeeccddcaaabccbdbedebeeadebdeccaabdecadabedccbbbdcdddeabdbddecbeeceaecdeaeccaddecccbedebacabbbeececabacbacaddcdddaddaeabcdeebbcbaecdccadeecbeebeccddeabbbaecaeddadbacecceceabdaaaeaaecdbdedbcbdbbbabcaaeaedacaecaadcebcbccbbabedbaaeeeaebaababdcccedaccdecdadeddeadcedebcbedaacbabaaabaacdddadbabbacebabcacbbaababbdbaceabccdcedeeccadddccadaadbcdcbdeabceebbdbcbcccedaebcaccdeadabaebdaeaebadebaeaeedbbbabaedbbeeddbbdcdccbcdceadbeeedccaaadbdaabbaecbddddeaddbbecaadbeacdcabcdeecccdebacddeedeebcababbaedeecbedebacbeebcbeccdaebbdccabaebececabdeddeddebdbbbbbacaebdbcdeccdabaadaebccbdabeddedabececdecaebdccbadbbcddecaedbcbddedacccadddedeacdeacedadcdccdcccabeacacdcaabaccbeaaeceacaeabecbcbcabdccbbebabdcebdabcdcbcecbcabccaabdebdcabcaccbddbddecebecdeebdedaeedcdccacbaadbeaeeeebcecaaaecacbbadabaeccacdaeabedbeceedebbdaacdbccbdceabcdccbdccacdaadbcdabdcbdddacaadbcaceaddedbdabbeccabeaadcddedecbaeadececdaaaabbddbbaeddccadeedcdcdeecccccacdacbabcceecaadddbaeecbecbbddcecbdadcbdadbebecebabdedcbbedbeeeddbcbbbbcebeecbbddeabbeeabddceaeaeceddecccdadbcceeebbccbbdbdbcabacbaedeeacebdbecbadddbaaeeceaeeabaaaebecebcebcbeaadedddeddbcccecddbdbbdcbadccebdbeedddcadcbadeeebaebbceebbdeeeaecabacbeabceebbbbbcaedadaccdedbcdcdcdbdecddeccdeeeacebadaaaeccaeeaddbcdedddbcbcedacdcbdebdaabbbcdbbacedaceacedecbdacbadbbcadaabaddebcadeaadeaccacabddebdbeddcaecbcedcbeccabcbddacbaecdcebdbaaadecccbbbaccdcedcedccbbbcebabdabbccbbcdbbcebcbaaadadabbbeeadccbbdbddebebabbcdeebdbcadabbbabbbaaeaecabcacabccdecbddccdeecbebcaceccbeddcdaecacbbbcbccdacedcbedaddcbbeddcdacdacdbabaebbdbabdebbddbdbdebdddcccddedcdbaccedbdbbccbbdeebeedacdccbccaceceaedcdbbdeddabcaebbcdaabebceecbccedabbcabcbeaddcdeaeaaeebdacbdbceadbceedbacbdbabcccdacdcacbeacbdbacbeeeecceacbdddbdcdaecadcdcbdabccbdcdabacadabbdacecdbaabcbcacaeaaaecdebdbebaecacdbecbedaabcbedbcbdabcdbdaadaddaaeaabacabacceccccbddabdedeaddabaaebcbbebabecdebbbddebbcbeacacdbbddedddbaebcdebaabaddbdceacdbdeddcbcabdeaaabbadcecbecdedecdbadeaaeadebadbbabacaacdedbedbccdcdacdceecacebdbdbcdcaaadcaeeacdeaadeacbeaeaeeaaacbddadcdcbeabeacaaedbbbedddecadbcabbcecbaaebbeabddedabebedceedabbbccacbeacbccebbccbeacbcadcaaacbcbdabdcaceacaedddeeadbaddeedbdacaceaeabceebacacadadedebcdadbedabcddbdbbdcbaaabaccdebdbdbabddceececabedaeecbbaaaccdadcecddeebedeccceaeedabddaaacdebacdcdecedbbbeaaaebdadacbceceacbebcbdceabdeecccdeecddbbbbeaacbeecddceacaceecaecbedbacedaabcdebdcbddebabeddaecbecbadadeecedadedeecbabcccabbadebddedbcecdccbeedaccbceddadbbeddeeaebbcebbeecbdbbeccbbdadbadcbcaadbebccbcbceebacbaacdaeacbabecbebaeecdeeaddeeebcecbdbcaebaedeedebddcbdbdbbaadcbeacbdeeaaccbeeeaebacbdadbcebabddeaeebaeadeaacbacdebccbddddbceeaabcbbdedbdcccadadedcbbbadcaedceaacdaeaceeeaecdaabddbbaabeaebecbcceebeedebbceecccdcebbcbeededcdceaeaeacaeeeccddeceeabcbcdeaddcabbdbdeddceacedeacedabbdcdadeaebbbcbacccdaaabcbbcadebbadcdcdebdedeaabeadccbcbdaeeadacecedcbbbdddcdbdcaddddaaebbdcacedbedaebabbacbcadbbebccddbebedabcbbdedadadcedddeaccabcdceecaeaabccaacebcdbedebccceebdecadedecabaaacccdbbcbdaacebbbaaedabaebbdaccceecebdbabdcebdbeabdadeecbbaadbaaaecccedccdeabbdaaeaddedcaaadaeceedeabaeeddbccddcdedceebeeddbaebceabdccaaaaaedaeeedddaebeeaaacadccaedcecddbacceeabecdabeebdbabeddeaaaeedcadbaeabacdcddcbabccaeeebedacdbbcedeadbedadbdceccdcaeedbeedeadbabdcdeeacddeabbabadbeecdeacbebbdcaabccaabeecbaaebedacbecacabdbbdeadeedbbeedbeceebdbeccecbebeadebcabbdbcaaaeebcadedadaeceabddcaecebebcbebdcadccbecebeadecdaccbaacbbbcdbadeeaaeabcdcddaaeaeccbddbcdcdbeccdabcebdcccaadbdabeceecedaadadeabccaedbdaddcadcbdaceebeeaddbeeaacabeececbdeeedbcecacbbdaabacbeaacddeeababddeeeedbeeddeedbbccbdbeececabcedcdebbdceaacbdaeaaedaabacabeeccdcbcbbaeccadadedeaababcaeebcaaecdddedbdeabbddaebecaeaceeacedbabebcaecebddaedceccdbabbbdabcbabdccdbccbebdadcbbebdceccbcdacdcaecbebacbbdbedaeeeeebaecdedbcadcccabeebbcadbadbebddccbbeeaaadcdbececcbebddaddadbbaedbdcdbbedacceddbcaadedeedbabaccaeeebeebbbbdecbabdadeacadcbacadcbbcedecdccbcdacaacbbdddedadccdbbcbcbbcaedbedcaedbeddbabeecbcdeabbebdecdacbeceababebbaaaabeabeecaecaecbdbbccacabdbccdceeceaabeeeedcbcdbbddedddadcacaeadeadbebacdcdedaebebbddebdadebbdbbcdbdceedcedccdadcbcebceadedbccaaadeadccddcddbbbbdeedadecdeebcdeddbbdcbdeaaeddababecccbbdcceddacbbbdccbddccebccecaaebeacbbbcbeeaeeaabeabcddcdbedbebbebddbdeacbbecccabdbbeacaebaeecedddaceecdbbeabeaeebbddabdaaebdeebcdcaeedbacacabadeedeadecbeedccedccabeeddaaacdccedbbdaeeadedbccddbdbccbdbdbabececaaaeceebebaeedddaddbbcbebddaebeeebcdacadacccabbacbdaceeeaabdcdccaaabababcaedcbccbcddeecbeebecebeededadabbeeabbdabadcdcebccaaedacbcebeceaecaeadaabdbcabdecbceeebdcdbdaadebedcdbdeeccacebbadeddcadadbdddcdebdcedeeccccdbcaebdadaaeaaecbccceccdddebdacbadaeccbdaaaabbcdebadbdceccaaabcdbdbbcdbedeeccabdbbceccadcdbedeedcceaaeecebbcceeacaaacabcbecceecdebceaaccccedaeecadccdbabdceecceebceddadebcabdbbeaeddeaacbdcbcbdcdaceabeedcacadbdaedadcceccdccbcbecdbbdecbdebebdccadbdaabbedacdccdbdbbceccaeabbdeedbdebacdcbcbaeddbdcacacbdabaaebbcdeaedbbbcebaeaacdcdcbecccdacedcdcaedebcecebecaadddcaecebcdebabdcdabdcdaeeacabbbdedccebabcbcdccbaaeadeccacbcaecceedbbcddceecebedbecdbdcaecdeddcaaaebdbcccbadecdbebacbdcabecadeececdceeaabdabcdcbebadeccaebcceddddaebdbdaabdebbacdaeadaeebbacadabeaacbbeeccaccaaeadabedcbdeedeeeabebeadbbbccebcbececeedbabeaebeabadadbacccacbaadaaeaadcdeeebcadecebcdbeeddeccccebdddceaccdeebbdcaaadebabebdceeddedbbaedcebddaaebdaaccadcdcadcacaddedebaacacbdceaaacdeeabbacacacaaddababcbecdedceeaddeecdacaabbaddacadccecdbdedbdeaeaeaaadcbdababcdebdbbceaaeabaadbdbeeadaadcadeebeadbadbdcbceeabdaadeaadccecbcbdebbedaadaacbcccacecdcbeaebcecbccabbbbebdeccecbacbbcbebadeadababddaecacaedcecadbecbcbbccadcbaddcceceeeacbccebcaeacbebcacdcdeaebeeeadcadaaddaebdeedbeccecacececbedcdeabacccbbaaccaadbddbecaadaaddceaebdbdcdcdabadbdbdeaaddbaadeadeaeceaceceebddddeddebddccaaebcbbaadbdeadecdcdbcecbbbcaccdaaabbabbaddabeeedbaebcdcabebdaeeebbdbddacdabebdccbeeacbedcaaebcbdadbadedbcdceeaaaababbeecdecbacaeebdbcacaeddccdabdeabaeeaacdcecdaacddeeeadcacecbabdcecdabecaacabcbeddeccabbecbdecdebdeaacacdabeedccdaaeabbdcdebeeaecbaedeaccdccecacdebecbbebeaeabbdbeaeddebdddadeccdccdbeebadcddcdbcaeaccaebcaecbacaabbdbdcdcedcbdccebacaedeecaccbbdbbbbcaadbcadccdeacabcccadaadaecedbaddedacbbebadeabbecccdcaaaeaedbbddebdbeaaeacbdceabecaccaacbaeddeecdebbbcbccaeceecacbaadbbdeccdcbabbeecbccecdebccbaebdedbddeabbeceadcbcbeeacecebeccbbeccdbbddadeebbbaeeddcaacbddaeddbcdccaacaeaeeaeaaacaabbdcdceeedbbbaaadaecdcaedceaccababcdbdebcabcaaddcadbedaaebbdaaebdcbbceebdbccbbbcdaaebcbcdedcbabbdddbdabeebdadbddabadcccebcbaccacddcdbebecededaceeeadaebddacddadadbaaeaabbdddabcabbbedddbcbdeecacdaaccbbcdbedadcedbdcaecbeaebdcbcdcebcecaaedcdaccdeeeedaacbbeceeebbcbaaecdabecdcdadddaecadbdeeaaecdcbbabeebaecebebbcbecdedbbeedcaecccbacdebeecedbeedecbddbaeebecddcadabebdbaaecabdaeeeccceedeedcedbadeadeabadcbdbbaceeccccbeceaaeedcddabbbceadcddbeaacbbddedaceeeaacbdecbceeaeabcccabbbeaaecaeebcdeadbbcaacddacbecadeaddecedebccedbddacbdeaacbadbcbedadcabadcbbbcedaeebaabddecdbdaeeadabebedcbdedbcecadbaecabbdccddaedeeeacabeddceecedcbcdccbcaabeecddecebddccbeddaaeacabdddaeddeeacccdbbddddbbddecadedbcacbbbdbcbeeecbdcedcedbbcdeecccaaebeddbdbdaadaadbacaccdebcebeabdcdeeadcdeccdccebaabdbadabcbcedbeacdebedcabdacdcbdaddcbebabbcaeeadedecdecdbcacbbeccceeebdcaaeabecbbbddaeaebabbdbbcedcbaabebadecacaebdaabdaacacaebdcbacaabaeddbbebcbaeaaceecadcdddbbcabedebaacdbabdeeadbecbceacaecdeaeecbdbbdeacebdbbdeabadbbaabecacebebdeebcaabacdaaddddabedeeeeaddeedcabacacebdcdbcaeadcdabbdecbaccdcdebbaaeaadcbccbbdebaaebaedccdabcdbabbbcabddbcbdadeadadcaccaadeabddcccebbdcbdbdeacdbbbdbeedaeeddadeebebeabedbcedcbbceecddcdeccbeedabaaceeaebaacaeabbddddadbaecdaebeacebaebcbbccdcdaebdebdacecaadddbdeaebeadbecbaadbddccbeeceecccdcdcaeddaadbbeaeeeaacceaadceddcaeddaadeeacccabeccebceeacbccaacaabadcebccaebdabebdaccadccbaaedaeedeeeeabceecbdacbadddbcedcadbecbcbaedddabbbcdadaccdccedadcdbbbeaedabdeaebeeccacabcbbadaedccdaaabccdaeecccbcabccbeecacebadaacacebccddecbecbababdeaaddbecdcedaabedabbabdaeeddcdaabcaadebceedbeeecacddbcadddaccdacedecdadccedeeaeeacccececadbcbddcacacaaeaccbbcccaebacdabeabadccebedaaeedaaccaddccdbcdbaceceaeedbacbcdecddabdbebdbdacaebbaeacebabdaaaddcedadaaadcbbbdebadadcacbebebcbccaabdbaedbdccccddabdcadcddaccccdcdecbacceadcbedbedbeaeaaccbeeeccaadedbacbddacdbaacdcdbabeddedcdabcdbcaebecdaccdcaaebabbbabcaadebbeaebcdbccbbaceaebaddbedccbadedceecdeadaaddabdcaddbbbabbddbaaebdcdbccebdadaacaebacebdedcdccadddaceddccadbdeadbcaebbcecdccbbddcceceaadbbeaaeeceebcbdeaacccadaedaddcecdaebeeceeeddcaecbcbbcdcecbaccdacebadbdebbbecaaaeacdcdbdadbedaeeeaabecddeaceceeabaddbcdddcedabdddbeeedddebaebbceaebdbbbedcaecbbdededadddadbadedadcaedcceeebdddcdddebbaaabcdcbcdaaedaabadeececbcabaadeeddbbcdbdbeadaecaddbdaceeadbbdcedeecdbeeccadaceebcceeeaacdddacdeabacbbddaccebbbdebdbeebadccdacbcbaedabaabbbaebecebeccbbdbcdeddbaeceabddbebcbbbecacccccdabddaaadebdaddedadabeeaceedaeaabebcabaeddebcbddbadcaeaacabdbeaeaceccebcedeabbdadacaceabbdcbbbaadbeabaaeeaadbbadceeadaddcbbecbabaeeccbdabacbcabacacbebeccbbbdaadbeadbeabbadddabbbbacbbebedcbddabdbaaacddaeadddbbaecbaabecaacecbbdcabeeededabeebddeaebaaeecedbabdabdacddadbaedacbedacdeaabcecadcedaabbeacaaeabadedadcaebececaaebaebdbaadbbcaaebbcedadedccdaaeabcdacdabcaacddcacdccadeeddeaddbeebbcdbacebebaccadbacecbcecccabbdeeecccaaaeedabacabdbbedbaddbceedcedddbececbecddcadbcebebccdebcebccdabbdcaebcbdbdcaacebeabcdeaadaedbadaebeeecdcdbceedaabbadcabdcecdbceacecbcebecaccbdddedbbcbdbdbbddcbbababbeabaccbdadcdbdcbacebdbcdbddcdbbeaedcbdacebcdddaedaeaebdbcbaceceeedcadaeedeeebedbeedacbcedcdaecceabbadacbedaaddbabcebeaaecbbbdcbbadacecaaebbcbadcaeaebedaaeabedddbbdbbdabdedaadbaabcebdebeccaadaaddeceaddbebbadddddbbaddeedeeccabdceeadbdeabbebaeccbebcdecbbedebdddcabbdbeadeadeeeccabdbbacdeececbdecbbbcdeadcdbbdecbabdcabedeebbeeadebceadaddcdbcedcaabebcdcdaeedceebbedddabbaceecedcadddecdabeeededdabcaddabceecbbceaeecbccebcbadeddbeedbddcdedddbdbdecbeaeccdedebcaeaaccaedccadeebbbdaedbcdecceabebaaddcebdbccdcabdccbbaebcebdceeceaabbcbedacecdbbacdbedbddedabbcbaddaababbaaaacbbeebccacbcddadbedbeececeaaaaaeecdcbaeccedcdbcecaecbedbdeabcbcbdcacdabcebaebcbcbdabaceadeccbbabcecbceaaeebebcbaaaedeeabddddcaaaaccaebdebbbaaadbeecdeadeddbdaddeebddeccadbecbedbbadcbbaddeddbadeededeeccccdebeadbccbddeccaedbacaaaaebdeaeecdaececceccdccedcddbdedcccacccdcabaebdbecedecdcecdcadcbbbdebedbccabcbcaebddccaebcdaecbaadbbadbacbdedbbbeeedcdcaebaebdcdeceeedadaadbaaebeaedabcebcaebcabebacaeedcbdbebceeadbcabddadaedebabdaabdcadcccdacaeabeeaececcddadeaabecadabdcbedcdccacaadcaedbdbcdbdbcddceadbdaacbbecaecebbcaeaedaddceedbdddceccdbdaceaeeeaadebddcccecdceebbbeacaacebecbcadaddcecdeebbeeececdaeddddeacdbcaedddadbdbacaceceeaaadebdccebbbabddcbdbaebeacdddbabcdbdbcdacddeccaeccabdbddabddbcdbbddceeaacdbeceaadcceabbcbedbaeeaacdcbdacbdaeadabccbaddcbecbebcedbddcabbababedeeeaeeebcabadabdedbcbedecbcabacacebdabcdceaecdebbabaedbaacbceeaeeccbcbebbabdabdebbaabbdeabedbbcdeebbeccecbbdadcdceecbeebddcbceedbaccaaeaececebccecceecccaabbdceeecedbacecaeecacdebabddcdcceaacdcbbbecdaecdbacbecaeeeeadcbadccadcbecbeccabdeeaaeaecaddaecabbdecdaeddebdebaddccddaacadbcebbccdbdeacdadaccbbbabeaeaaebadbaecbdedabbeeaedcabdadccceedcdebedcabacddeeeaadedbcedeaceeebecbaababadbbaebacabbeaebbcadbcacbbdeedeadcaaeadceccadbbbcbdbbbbedbadceabedccdccdcdeabbeeccdacababdaedaadbeebcbadaadadbbbbdeabbdededaabceaceecbaddaaadebbebdbadeddaccbaecddabbccbbadebcdeedbbbbddeecedadecbbbeecbaecbcdbdcebaabaeceebaeeecadacbeacbaacbbcbeeccbbbacadadcdbbaceceedeecdecccabeededbacaddbacaeebbbaecbeaccebaaebbabedaacdbeaddedbcdbebccbbeecbdbeebbbcebeecbeeeececadedcbadaedaccabededcdabbeaacbdbcebadedecaaeedbeaadcceeabcbbceebbadadebbaaaecaabecaaacbecbdaaacecaebcbdbecbecaebeddbdaeacaecedebcebcddaababdeecbedbcdbacbdbdaeeaaabeeceadcccaddccbedbbdabaaaaaedbebcebbdeecdddecebbacaeadedddecacedbdaeeeaabcaeddcbacdcabceddcdbbeabbcdcecaacabdaaaaadaddbceacadbddcdccececcedccadebdebbeccecdddeedacebabcadbbabddabdcebbeecddedcadeacdbdcedcccabdaadbabdaaceeebaeacaecacbbddaabdadaddbbbaeedabdadcadacdabdadaaccabdedbbbeabbcedecaabdaaceeadbcbccebaaadcebddabbcebabadcdbdacccceacdcaeccdaecbacababacbccdebeedaebeeccddaceccadceeacbdbdcebaacdadbeabeaadeadddacdbacbadddeacdbbbccbcedaceebcbeedebcbccedebddabdebadbbebdaabdbeaaadbddccacadabacbebdabbdacccbeaccbdedccedcdaaacceeccaddbecebdbcbdadaeededeaecebbaaecbebbddbcadebbbdcbbbaadcbcabdcdacedbddddaaddbeebebcddceeedcbaaeedccacecebaddadddbabbeaeaaaadedaacdbeccdedddeaceebdcbcabecedbcacbbbeabccaaaacaaeaddaeaaecdecbbbddbabadedddacdedcdadaedecadabeabbbebcadbceccdabbacbecbaaebabeadccebdeeaddaeaeebebdbbcddbeaceeacdcbbdcdbdecdcaddbbdacdcecbecdcaeeeabaaddeebcbdddaceddabdbdaedcedadceaaeeabddaaaaabccbebdabeaebecaceaabddeccdbdaebcaddedbcabaecedbdaeaedeaceaadcbcecdeeaaedbebcadecedaedaeccedbddaedaecaeedabeedcbacddaaceeddbdbeaddebedcdcdeaddaeeadcacccaabaabdbecccaeadddacdcbeeebecdcaaaacaeaccbebcadbbbdbdddceacecbaababdbaecddbcacbbdddbecbddacaeaaaaaeedbcdaeadccdbbaeabaacecdeebeabeedcbeeebceaccbadcbebdccecdebceedcbdecacdbceedbedbbaacdbaeeeebdddaacadbcdcadcccabdbdceaecedabdadedccddddaacdddadcaccecdcbbedcdcbcddceaeedacdaedeedbdebbcddaceaecaecedccbbebaccacddddbadedeabaaeaecaedbcebadedbcdbdeeabecadccdbddcccbbcdadddbebdbbcbdedcaebebdaaabcdbcdaaacbcbaabdaaaebbbceacebddecdbebccedcbadccdcdeedbdcecaacbdaeeccdaeebceaaacbdebbbebdadcacaeebbbbdaeccebdbbbaccdbaaedceacbbbaeaeeaaabecacebbebbaebcacecccaecaabcdbdcbdbbbebaeecabdaceaaaceabcedeeaedebadcbdeaabbaeaebdbddeebdbdacbadaaebbaaecbcbddcdcacabceeecebeeaeeecbbbdceaaededadaaceadedbccdaebcaeccebabadcbdbdedcdedadeaadbacabdcbddbbabbdbddeebdacbedaaacedaecaebeaebdaecaabeacedaddcaaacbbadeaadbeabbdebdbdbbbcdeecbcbcbddeabeceeacacecbadbdadcaddedecccbbceaeaeaddeddbeeacaadaccaadcadbacecceabcacbdabaeddcdadcadcaacdbaeaadabbcbcbdcbebeabaedcbccddabebbabbeacbcbcabebabdecaddebabaabbdccbbbbebadeabdbacbaabdcceedcaeeabadaebdacadeddbdabddbbbbddbeacddbeebcdddedcceeadbebdaeeaddcdabdaedcddcccebbbceadcdadddecaaabaacaaceddaeeccdcedaeaebaeceeccecebadaeeedacededcbdcebbcaebbadeeadcaabdcdaddebeebcbdbececebcabbdbddcbbbbecbcdabacedbaeeedebdcdddebcdceeeacaacededbbbeabbbddbdcdcaedbcdddebcbbedadadddaabcaacbadbaccebaedbbdcbdabdecccbbdbadaebcebbcbcadcbedeaadeaecdaacedebbcecadabceaaadbaecdabadcacabdacdadbbaecbaadaeacedcdebbaadcbabacdcdbdbdeaabcaeeeeddcabbbdceddaccdeeeeadeeddcacebbeddadbacbcabbbabeaedbbdebbbcecacdceaaceedeabebaadacbebbbcdecdccbdcbeeacccceddabeccbebccdceedadabdeeeddccceebcdeeaecedbdaaeabeaeebabcbdcdabeeacddcaebaebecdabecacebaeedbcddaecaedaedededbcbedbecdebebaedcadeeccdbbecedadcabccbdbacadcbddcaaddeacedcaeedbcbdebcbbdeacdabacdcccccceebdbddeeeabaeddceaecbdacbaaadddbcedecebbcdacceeececeecbdebbdbdaabbedebddbcbbdbbccbedbdbbcbbeaecbbbeeecedcddecbabaaadaeeacbddeddedddbbaeeeadcabaebbecdbebccecccceaeeebdbddebececcdabdeceabccbdccaeedceeebececcdeeaedbecabeebedbaeeadbadedccdcbeadcabbebeedabddeaecbeacebccbddddcbcebcecdcbedeccecdeebbbddcabcaaeccbccabebeccdebbdbacddcdcceaecaaeaadcdcaabdbaccdeabceebdececaaddddadddbdcdbeeddebebcbcbdbeaeecadddeaecbcebdebbbbadceebaeebbecadbeeeeeeeebdebcaadababbabeadcdebccdabcbcaecdedcedabcdcceccdacbdabdcabcddccaddbacaebbeebeabecadecddcdadadcbabaabdecccdccaaccddeeeaacbbbcdcceedbbcbeeccebaaaacbcaccedbbacddacdcdbedacbbaeeceaceeeddbacaabaaddddeeeaacdbeaaedebbceaaabebbddebcdbbceaaabcaecedcebeaeeebeeaaebcaaecdbcecedbdcddeedeaaeabeacdadeebdeecebceddedadccccebbbdcebabbcecccbaedcbbcdebeadeceebcbaebacbaebdeaadcabaabaedbddebeecaeaecaeabdbbeccadaadbcdbddeabacedaadaaabeaaceecaecaebdeeddadeedceebaddbdbcccceacceecabeabbdaeaadecbacdaecdaeccaaedceaeccaaacccbeaddaccebecdaeacbebcbebdccbedbdadeedcbabebabaadcccabdbbbdeaaeebdbbddebabeabececdcaccbddaaecddcccccbeabcacbbecbbaabbaeddedcabcbebadaeececaddcacccbbdeeeaccadacdbdcabbcadceccdeeaadabeddbddccabcdcaddeccabdbeaebaaabbcdceaeaadcdadbcbebaaccaebaceceeccecbbddbaacbadadecedaccbebaeecbcbaacacdebdecbeeaabeebbdaaaebcedaaddbddeeacabeeaebacaeebaeaabbbaacaadcaaddebbcdebddbdcabbedbeebaecaebaaebeccabadeaebeeadbdaaccdbeddedaccaeaabebcebdceaaaabaedbbdaabcdcacdebdccacaaebeecadcaeabdbedecddcecbadebdbdedecdedecbeacdabdddecbbbeabeacdccadadcbebbeddbabbccabaecbbacaedcdbabbcdacbdaeccdbcaecdcbdedcbcddbaddeaaadddceeabeeeabbebddcbcebcdcdecabdddcdbbacbecebbdbabdcaecabeccbadeebecadeababceeedeebdedeaeacbadbccbbdcbabcaadecedaaceeccccbeecebeceebeeddecbaaedaeabebebababeebdedeadabaaeccdeeaadedaccebebdbebaeabbadddeedebeaacaccadcbdabccaabbdcecedeeebeeebeacecaadecabdadacdebbaedddaebcbeabcedeaacadaaaeddbbbaaacaabeadbbccacdcecddcdcaaaaacccdbcdddedcbababdbcacecdabacbacdedbbeddccbadcabcccccaccaaabececbbdaccadbccdbddbaaddaabeddceaedbbaeecebaeadbcdbdbecaccbeddaddeaebabdebdedaadeaceaabddececdaecbdceadeeeecaebbbddbcacccbcdcbeeaabebdedbdecbbcedbccdaedbdcaddcbcdaeeeebcacdaecdcaccebdbadedcecdcdbbdecdddcccbadbbcaacacacdaebeaedeaebeebbcbceabddbdbdcccdcaecbbabdbaecbceabdbaececcbdbccebaabddcbdbccebcddabaccabacbaebbabaadbcccedbdeabbbaeaddedeaeabedebcebaedbcaacbdbedeaecddecbeeebddeaddbcbcdeabbddbecdeeeabebbbbadadeeeaabaebddbddbeaeeadcbecebeaecaeaacadddcceebcccdbeaaaadcdadbedcecbededbdececddbeecebecddcbbacdbcdabcebbaeadadabdcdccdbedccbedeccacceabcdbceddaeeabdaddcabaccdeacdbabadbaadbebdedcddededdaecedaaaeaddecedaeeebcbbcbcacbaadadbabdabbdcbcbeceaadeeceaddabddaeceacdaaaaabcddceceebebdcbaebbbcadbdcdbcddaebbdacadccceebbeccadcdabaacbacdbdcdccddaceceddcdeebdbacbdceebaccacbdedaeecdacdaeeacbedebdcabbbeedbadaebedabaaedcddedddbdedabebbbeecbebaeddcebeaedbeaabcaccccaebdecebeddedbcdaeecccdeeabeddbdeddedeeacdbdbadeccdcabdadecbaaeccaaacdceaeabdaebdedcacbbbbaedeaaddcdbeaccddcebaccabcdbdadbeaabbbebcdbeacddadcbeaeaededecabccddadaadceeacbedbdbabaaadeacddadecdaadaedacebebaababdbaddbaecdeceaaabdbaeebadebcbdcbbacdbbaceaebdaacbeaadaaeddbadcbaeaccdcabeaaeadeeeccaedabeedeeaadcbdaebcebaccaeedcecaaedbdeabbabccccbecaaebacdbacbbebbbdcaaaedcaeddeceeaeedabadaadebaeabcbdacdeebddddacdeecbedddacbcbcddbcecaadcaacdcceadcdeeedeacdecaedbeeaaccebadcdbccdcbcaccddcacaeeaceccedeabdebeadcbdedeeedacacaaceecccbbbcaedcaebaecdabcadcacdadaaebadbbadeddebecdadaeacdeaeccedcadddbbdeacdaeaedaacdddbadcacacdbddcbdacebddabceeccaaaeacbbadebbdececceaccecdabcccdaaddbabaecbbabeedcaaeedebdeeeeebbbeacedbccdebaeaabcbabeebccdcbeeabedeceaeeaaeaadabaeaebcccbbccebbadbdebcabdeaecaddbbdcaccbdbddcacebcdcdbddaccbdcddaaeddebabcbdcaceadaabcdcabcabccbbdcaeecbcbeaaebbccedbbddcaabbebbccaebecabdbacbabdcecdabccebdddccaecdabbcadececedbdddcbcdadbabeeabdcdbdadbbcbcaabeaebdcecabaddaabaceebbcddbccbbdbedcaecebccbacedbabbdedbadcadbcaeacbdaecacbdbcdadadbddbdbadaacdcdddecbcaaecceadbdabaceebbceacedeecccaeeceaeaadcadbeebeacbbdaecbdaceddaeedaaaabdacbcebcaabbbcbceadbeeacaeabacabeaacdebeedbbecabdccccaabebcceababeeeebedaadeaccdbdddbecbdcbcbbdbdeccecbaacdeaabceacbccecdebbaaeacdceabbbabaedaabeadedcccbacaebedeccbdbbabbdcccbcaeacaeabccbdcaacacddabaebacdaadedbadddaedaaeeccbddaebdeeeddbcabbadcbbecdcbaddeeeadcebaaeeabdebdedcebcacecadcdaacbdddcdedbedaaaebecdebcdcdbecacbdbbdaceddabacccaccccabaebccbbddcbbeeecedecedbebeeaddcabdddbabecbdceaebeabbaaddbabebeadebbcddecdaaadabddaddccaedaeddacacddecaceaadccacabdddeaaecaaecaddcdabdabdecaeacedbbbeedbdededceeeacdbbebeaddbbccedbebaddacccedcdeaecacaeceaaedbadaaeceebababedbedadcccabccdecadbbbdcdbecdbdcaebbadceeebdaeeaaaaacabadeaebabaedbdeeebaecdebbcabaebebccecadacacbbbbdccedebbdabbeaceccdbbaccaccdbeadcbebebbcdabbbccbdeedbbeeadcecccedaebddaeeacbdcdceeadaddecabbabaaccddbaceccdeacccdcbeaccaabaaecebbeecebbbbabeebdbcabcaecebdeeedbcadaaadddabaeecabcbdbdaadecacdccaebecbdeceabdaedbabebadddbecbbdedccdcabbadaeadedbbceacbceceeebbccdaceadaaadaddcacaeeeabbbadabeadbddecbedbeeeabdbecbbcbdddaaccbeebedcbddcbdacdcceaddbbebbdcddbceecdddecdbcecbcaebeeecbebeededebbdbcabdacacbccadcdbebeeabbbbcdcbbbdcdddaadceeedecadccaabaebecabebdecbbdedccbeeccbcaddaedcbbeddabdccabacbeabdcbececbdcabecebbdddcdbbcebcacadeecdccecdaeaaeebaccdaabeeedadcddeebaecaaeaaecbbcaadadbadadbceccecbdeededcecbccbababdbaceabbcbbdeacadeabdeaddaacdbbacbcecdeeecddccbaccddcaaadcedadcddddaeaccadbcedadeaccdaeeacaaababceaddbacdadcaebecbbaebebbceabebaacaaddadedabeadcabcbecaabeacacadbccdecaebacddeebbdbdbaebebbebbcbadedccddcbdeedcbababbdbcdcaaabcbabddaacbaabdccadbecebcdbddeeecbcdbbdcedccccddbddeaebcaaeaadecdbcebdabbadcdeeacdaecaacaaedcbdaeddacddccebccdaaaaaaecbaaadedeeaeaddaddeebbeacdadaceeacbecaadadabccedebdcbcceadddedbbaadeeedcaeebdbbacdbaceedbdaabacecaaaccaadeeaacedbeabebdadaebaeacdbaceedecebeeaeeeceacaceacbcecbacbbcadddacbcdedbccaabaebaebcecdbbdbbecabdbbaedbbcdabdeaaebedcebdcbdeedecbadaaecaaebceccacbababcacdcaaeddadeeebedbeacabdcbdeedcbabbcbaccdddedeadbbabdcabdabceabebacebdcdecaeaabbbebbcadadedbbeeaeeedbbeceadebdcecbebbdcaeaaceedeaeecaedaeedaeccdcbedaeaebacbceebbdcdeeceacaaedbbaecbacedaadebbeeeaeebebbbccedcadeedbbddeccabcebebcdcacbaaacebeeeaadbbeedcddccdadebacabadadcbccbbdaddecaebabeaabdbceacecdcacccebdacadedaddbcbcdebeebdccdeecdbadcadbecddcdabebbbcbaabbcebdadcadbbdcdcccddcdeddbaeccaacedbaebadeebdcaaedebbdbcccaaccebadceaeeecdbcdbceebabcbcacccacbbccaaadddccdebaddcacdbddbbabecdcbdedeccedebcdabbbeddbceeebdbebaaabbcecbcbcedccbbbaaaaacbdcbdeacadbacadacddcbeddcbeabecaeadabedeabdedaaeedebebcededddbdeeebcdacaeccdbcacaaacbaeaadacbdecdecbddbeccdabcaeecccdeaececababedddaeebbcbaeaecebcacccdbdcebeaddbbeaecaddbcaabeacaadbdeadcacbcbecbeeccbdeacbbacbdeedacaedadeabbdddacdceeceeaddeebcdaeaebabbaeeababbdddbdaacdbabdeeabaebbecabcbcaddacdbaeccabeeddbceedebdaadedcaadadeecaceaebababcebedddbbaadccdbadccadddbbecdabecddcdabddceccaedcddcbaebdaaedddebbeaeebeeecdededabccccdcdbdceaeccabaacabbebedccddaecbbcbdcbbbcdcebeddccdecddbaaeaeedecbdbcabdbbedbedaedeedddabecedbdaaabaebccdeeccecedcbccaabddbaeededeccadadcccdbcecebcedbdaacddbabbadabdccaceeabaccbcddeadbcdedeeebaeeededaeaaebcabceedcdbbbbeeeecddcadbdabaacbcebecddcbecbdbedddaceaaeedadabecdbdbeadebdeaadaeedbcbbadaadedbdbcdadabceddadaecdeeebedededbbdeebdadccaedaaceedaeeadbcecdeedaaddebeeeeadbaadceeabdaaaacedbbaaebeecbdedbeebcbadaeadaddaccdeaebdeaaabadedccdacdecedaedaddbdbcddacddedbbedceeeadaaebbcbeaacccadebccccdcdeabccedaeeedeeedccbeedbccaaaabcdebbbacbdbcbeeaceeebdecceddceacbbbeebdeacbabdaaacadabbeeaccbccbeddddedeedbabbbbcaeadaeaeaabbbbaacaacceacbabeadcddbeabeaeecadaccdcedaeaebabbeeeceadcccdbeadadaaacecabdccbbbbaacecdaddbdaaecbeaedaaecedcbedaceaaaecebeedeeabedabcabbaebecaddbececbdcabecbedbbbddeabcceeabeebeaeddcdddcbdadaaddaabbeaddecdcbadeecdabbeecbecedeebbeedacaabdbeaaecccdcddaebeccebedbababaeadeeaaddccdeddebcbbcadadceaccbbeddcbebbbdbaebccceaeeddceeaeaccdedeecacebaeaabecdaacbbedbcebbcbbeeeacbbcadbbdebbedabecddabbcbcbbaedcaebacceddbeeaabeeeadadbcbecbcdbacacacbedacdeaddbaacbabbaecceceeacdbaabaeabaecdabebcdbcbebcbbcaeecabecdeddadbaacccdaebecebeedabceebbeedbabdaacccdbbeeceaaceaaedbadeaaeebdbcbdcabbcbbdccadbbcdeeacbdeeadeadbdebedacdedebdedcbdcacdbdbdceecdeeaecbabebeddaeaeeddcdaadebcabacdccdcacedccdcabcbadaaeabcdaaebdcacbbbeabeddcedbcecabdcbeeecededaeccaeeeebaebedddaeabeceecbeccacabbadbdcacbebaeacddaacecedceeecbbbaedcaddedbcccaacddaddaddaeecdebdcaaabecdbbbbcaaadbedbccdbcaeddedcacdbecbebabdecebabddebaccaeaecabacacacebcabdcdbdcbbcebdabaacebbbccaaaadacedecedbceccdebaababdadecdbedcbaeccdcbeaebeebcbceedddcdcaaacedeaaaeebebebbbedbdbcaceecbacecbabeeebbadccececaadecdbabcebbcecabcbbbbebdcbbacedbbcbaecddaaccdcacacebbceacaeceeebbeaaabdadecbedbbbaeaebdbabadacceccbcddadcdadbdeeaebcbaceaceaadaaccaabbddadcceeceedadbeeecbdecbbeebceaeceabbbdcebbdddbdbccdccdaecccedaaeecbedcabedadcdebdaceabddcecacadcaaadabadbdadccdbeacacdcadadeeeaeabdbdbcccceaebbaeeedcbeeeccccedbcdeedbdcebcacbbcedeabedcdbcbbaccaedddeebbcbbbdaccbceeceaabbadcbebedcdbcdcdcbdebbcaeeecacdaedaedebeebaccabbceaccaeedccaceebbacbeeecedeabcaceceaacceceddbedbeaabaababbcbdecebccadcdebccbbebbeabbcbbcaeeedddeeabbddaebadbceebbacebeeeccbddaebbbababbbeacadcadbdcebbdacdabcbaadbeaabaeeaebcdbbdecddeceeadbdadaaddcdaccdeecaccdccddddeeacedbcaabebedeaadcaeabbdcccebebacbaceadececdbaedcddbedebebdbbbbceabacadbdcdabdcddbadbbbcbabcdcdaeaeabaaacbeeccebcbedccdaaaedecddbeacbdcbdadbbdeebcccbbaadaedaabdaabdaebaeadbbcbdddcebdaaeaceccebedcbebcbcedbaebdbbccdacdbececcdecaecdcdbdecaabddbbbebeaebdecedaaecdeddbcaebcaeecebbddceccedbccbbedecdbeddaddaadeceecadedabccdadbccaeebeaeccbadcddcebcadabedecdaedddbddbebeedbcdbccdddaeddbeceaecdecaaaaaabbebeccebcddbcaecddaabdbaebeadcaacccdbbdeeeacaaaeadadedeadcceaecccaeebebbabddabecaaebedaceabecbaaeabedaabdcdbacbecedccacadedddaabdecadcaacbdccadeabdddeaaabaaecdbddceeaeaacedeaedaadddcdedbcbdededbdeabbebecccdcaecedbbdedbedbcadccecbabeddcbbcaceecbceadbcbbceeaabcdebddaadebbeddbcddeaeccbebbdadbaededbcabaaddcdedbdaeaeacdebdddecddddeeeeceacbeabbecbdebecabdaddecbabeacaceddedccbcaaaeabaeeedaeabbedeedbdccdacdcaeceedaabddbceacbebeabaebeaaabbeecdedcabcbaccaedaeebaaebbcdbaedcdbedaeddcabcbbcdcbbeddeeebdeebaaaccdbbeddaaeeaaccecadedacebcbeabeedaabebebcedbbaceabecececabbcedbabdcabcdeedeeabdcedeccbddccceadbeaddecabaceebeedaadaaeabcdceebdeeeccaeadaaeebdacacbabeddacccaeedadaaeabdedebbdbededacaacccedeabedbedbcebabbceeaeabbacbacabecbaabcdcbbecadbaceebdbcbbaadbcebacdacaaebcbbcebcdbeeaaaeeacaeeddddeabddecbabecbaaedccdbbbddbbeacaebdacaebdecccaabcedbeccbeeddcdabbddeaddadeecadcbbaeaadceecacbbdecadaaeaadceccccaeebbababbebeccaccbacbbdeaedcbebbadacaeddacddbaacddadbcecddcceadcacdcabeeccaaabdeaaceadadacdabbaedaeabcdceddebaaaeddbebbbeddcdbaccbbacbddaaacbeeceacabebdcdbaeebebacbaabedabbadeaeddbeebbeceadceaedbcadedbedceeaeabbdbdbcbdacaabbeecbeaacccdddaaaaaaedceeaaeedaedadceaadebbaddadedcbddaacccacbcecdebeccedcaeebeeeecdcacecacabbcdacaecdeceddaeeeedecccceebabdedeeeaebabaeebdebcaecdbbecacebbcabccdcddcdcbeedddccacbacaddabbddabcadbbcddaedaecadbbeabbebdceaaadceddecceacdcaeceeecdbbbddaccadcdbdbeacdeedaaaccededcbeecdcbcadedceaddeddeebcaabadbceccbcdddddeabbacbaacedcecddacbdbcabcdabbcbbbbbcbaddabeaaccdeedeaedbdcbdddeeabdbacbdaeababcdbeeacacbddddcaecededdcebddcbebbcbdddccebbbdbcaaceeedeeabdabcdaccdebcbdceaeeabcdaebbdeabdcaaacaadbbeadaecaddeebedbecedcbbaaeebdeeebbdcaeeeaeccdbdcbaacbaebbbaaeeaceeedceccebeabaabcbcbcdbcbcedecacdbbbaccebddebcdcaebadecdceccbccdeedeeddeeeecebdbedccdabeadedabbbdaaddabbabcbaaacccbabcdeaedecaeaabacabcbdaacedcaecadccaebbebcccadccdaeacedccdddaacdabcdddacddbbeabbdbdebdeaaaedeccbadbcababcbecdacbaaecadcccabebdbcccacaabdcdbbcaeecdbcbeadeabcdbaeaaceebdceacaebdcbecddceabbeeedaeabcdebdcadbaaeccdeaaababaebaeadddedddaacccdebcddabcaecebbcdbcdebddedabdacebebceadcebabedaeabbddbbaaaacdcbbecceaeacebedadaeeadeceedeebecbbbcaaacdaaddecdbcaabdecaebcecdadcbdcbccbaeaeddbbeccdbadadeeeeeddccecbacbaacddeedeaebedcbcadebcebaaaccdedeabebacbacdacdbecacdccbddedcebddabcebceeeadaeebadbdcdcddaeabbcebccbbedebcccddccdcabbaacaeabdcbeeebadacddadbbdecaaddbcaaebacaabedbcdeacacdddceedadaeaaabdddeaddabcbbadbbdadbeebaaebdbaabceaeccdcedbcebcdadbeaeabbadabcbeaaddacadcbbbdbecdcddadecadcecacddaabddddccccdeddecebcabaebebbbceaededacccdddccadddbcabeadcebabdeddedaeecbebcbccacebeebdbaeddcbbdeeaacdebbdadcdadaeddccadecccbcaceadcbceccbadeddbadabddbbcbacaabebeeaadbeedecbebedeabaeebabcbadbdbadaaacaabaabceddacabcdeebeccaddaebadecdddabdbcdeddcaecdacaeadebdeaeaaebbaabbbcbbdbdcaeaadbaeeeedbdbeddebeeeeebbdcdccdaabacadcedcbcaedeabdeeeecaecccebdbaeebdcbceadaaedadbcaaacdbbabdcedbbacbeddcaedacbbdababceadbedeabcacddaebdaebeadbbbcdebddaaedabddebdbcccaeeabdebbbdaecddcdedaecdeeebcdbddabeebccedebbceaaeebabedadcdcdcbebeadcedabaeaaedcbbcadcccabddcabdeaccecdeebcabbdbaceacdbcaacebdabddddbecbcebacabacdabcaeceaeeceaeaddcedbeacaceaacdeabecedeeeaddecaddacecaacadcbccdcbcdecccceddbbcdddbcadabadcbdbcaddcaabbecccaecedaebdacaadacddceccedccbebaeacbbdddddadbebcdcebdaeadbcdceaeacbaeceaedecdeeebedaebeaecbbeacecbdcaadeaeaebaaaaaddecdcbbdbbcececdbebbabaacaacbbeeedbcadadbcbdcabedbbbdaccccacaebecdadaedeabaabcebecaeaccdbbbebbdbaeceacbdadcdceacecdadbacbacbeadebeebabbedbeacdeeddbcbcbdbaeaddeebddcedaecaaaecaaeebecceacaaaeebaaadcaaebcacdaadcabeddebbaeaeacccdbecbdbbbedbebaaecebcccaeabdcdcddececeabebdceddcccdecbccaaaccabcdbdcaaddadbdbeaddecaababbdabdebccecdabedeaadceaeecccbbaeceaadbbdbeccdcdbbcaceacebeadebadeacdaaeddebbbdacebbcabeaaaeabdeaebabeacaeedcdcdddbedacdccebbbadddbddccaebcbdccceebecaaaedbdeebbbababebbebebcdccaeeadacbcaddddccdebdbbecabecdebcadddcdaadbdebbaadadcdcaceccebaceaeccadccbdeccbbdaabbabeadadaccdbaeedcddccbacccaecdaadcbbdaeceaebadbeeaeaedcabdedceadaeeddcebaaeabadbadebbcecddedecbdcadaabcacdcddbbeabbeecdabadaeabeedddbcdeddedacdbeabaacbabaaddedcbdbebcadbddcccebcadadcbabecbccbabdeedcaaddddedebacedcdddccedadbeddbddaecababcabdcabaccedeabaabebbaddadcdbaedbaccbccdcbcdcddcebaaddebcaaecabbdbacbbdadeebababdadbebbddeacbebabdcaabdbdbeddcbebeacdeaeedbcaddcdecadcacedbddcbabbaeaacecbddbebabeecacbebbabdecedeedeeeedabaadadacbbeddbddbbddbbdbdedeabdedacaeabcacbcbabaadabbdcbdcbbbbeeceeeabdcbeabdcbcdcbbccadecaeabdddcadecaaadcabcbeebbbbbaabcebebcdcbdeddedeeeaaaeaebbbecadbcaaabeddcabcbbabdeebcacecbdbecccbaeeeecbebdabdaacaeeccdecceaaeaaaadaadacaaedcaebabccebbdaabaacbbdbbdadbaecacbbdeedccabebebcbbacebbecccedededacaeaaabeddccccdbaaedacbeaaeadccacccdcdddbaaddccebcbdebddbbedddaaddeaceeecbcacddebbeedcdaaddbbcdacecebcdbaadcdedaddbbbabcbdebbadabcbcedeceedcaaedbdebabdaecabedcbababbdebcdbcaebdecceeecbabbdecaddeebcdcecacbabbbadcbccbcadeabceceedccddbaacbededdadeedbbecaacdddadcebcdcbdebacbbeecaacabcaadaddceceacadaabdbddbebacedacaacccaceeaddabbaacaabeecbbeabeebacaabbeabdacadddcaccccdaccebcdbadaaecdeaccdeacadbccdadbbddcbaccbacadbcaeecacceeacecbbeecbbccecbacdccbebdddcdabacaeadbdaecbebeadbccebbcccecdcabceaceeadcbdbdcddedbdadeaedddccdeaebcaacdeaaedbbedbbcddbabdabeeadbbcdbadabaedcabdadeeeadcceabbbceebbebbddeacccebebebedebecdddbbbdacdeacecdecadbdddcbccbbeecbbcabbebbadeedebbacdaeceaccdeadccdebbecaeadcdcaaeddbaacccedcdbeccceedddbcaadbdeacccbecccdcbabcdaadbcdeaaacbcbaadeaceacbacddaccdccbaeebbeeeabdaeecbdcbdcbdbabddedbbecacaecabccdddbaccbcbacccabedacbdaabacacbabdaeaeaebdbcaccabdbbcdeeacdcbbcbebbadcbbddabccaacbdcceaaceaeaededbaeeeaebebadecacdaebcbbdbcdeecdbdabceaabbdcbaadbceadaccdcebacddcdbcdbcadbbeecdadcbddbbcecabdcbcacbdddcdbcdaebbbdaaeebdcdeebbddcecdcabaaadeedacaeecbcabeaedeccbbadebaacccdcdddeabeaabdedbbcdcedcbbeddbdcededceaeccadcaeebdcbddaebdcedbabcccedbdbcebdcaceaabcadeacedbcadccbdaabbbadadcdccbcdeccacdbcbcdeaceaebebaaceedeaddcbbbbeaecdeaabaeeaeddebdbaebaedaaaaedaacedbbaecdcbbebdcaabdeddbbbccdcbedcdbaaaadeaaccbdcddabacadacbebdadaeadadadcadbccdbceceeaebdbeebadcacdadbccaeaaecdaceabbdcedaebdabeecbacaeaddcdcbacedbabacebdebbdbebdeccaebebbddacdbbebdbedbbaceebcacbedebebcdbdaeabdbdcecbbedeedadbedacabbaaecdbadbeaababcdccbcceeaebacbddcbcaeaebdddbcadaecacaeeecedbbdacaabddbadabcdadcadcabedaedacdcadebedbacdadbdacbdcedecdcbbeecbdeccaadbcaabbbcccbaeccbcbbcebacacdaabcecbebaaebebeebaebdddcadceccbeebebeecbcadeccbdcebeaeedbbcdedbbecbeeaaaaddbdbbacacbeebcdaaaebbbaebcbecaecbddbaabdcdebbbbeaaaeaddeebdadaabcbdabcdcbaacebdcbedabcccdaabdbcdeccacdaddacbeaaadcebeeaabeeccacdedcaeccbbdabaebcebaaebaddebdebabbaceaddebeedecaccbebebcabeeadcbadacdedcbbcbcabdceecbadecbedabdbebaaacdbccabeeeaeaccdcbbddbedcdeddcabbcccdddadbbdabbdeabbbcdacaaaaedaeeccdaccdededdadecacbdeeddaceaeaacdddecddcceaecaadaadedcabeccddcebdcabecebebbcdcaeebacdecbabbbadcadadaceeaddcabcbadebbaccbeddaceeeddaaadccdcebdecddecacaeecbadaaebacbeecbedcecbdaaeaabbdeeccabbeebaceccedbeadabdbbbabbdbbcccdccedadddcadecdeadcddebdcebbadddddceacbdaeabebeaeabcbeabdcbdcacbccbeacaacedbdcdedbbcadeabeabbaadcedebebbedaeedabbaedacaeeebcadcadbeacbecbbedabcbeaceddadeeeddabacccccedddabddddbacdccaaabaebddbebdbdaceecadcbbedbcbdbadaeccbabceeaabccceabebecddccaebabbcdddcddcbbbddebdcdacaddccbaacdcabaebdaacaeeadddaeebaaeadbaddabaaaccccdcdbbabdcddbbdbecdbbcddabbdeaaebcdecdcdeabcbadeaddcddaecddbcbdecababeadaaccdaedebdcbeddccbbadaaaaebeccbccddeeebbdbccdddadcaabbaaacbcbcbdadceecbbceddbeddbacbbbbbebcdadedbabebedabdbeabccbcaaeebdecdaddadeddbaabeceeedbbdebcaaeedadbbacacebddcdaecbeedecdeabbceddbcbddecbeaceabdcaeacbaeecdddedcceabbbcbbcdcbdbcaaeeceaeacebcdcacaeeeeddaaeceaabbcedbcaabdbddbeecccbadabbbeccabdddbacdccddaebbcebaeadeabeacdaaacbedaeadcbecdbcebdcaabceecbcbaeaccadbdacacaadaebeaaaacdcabadadaccdbbcddebadedaabdbbeaadbbecbeccbcbadbabeaccaedbbeeeebceaacdbeddabeddacdbecbebedbddecdbbcecabcadaecdeddeeaebcabbccacaccecdebbaecaecdccdbebadacebbbdeacddcbbaeeeacdbcecbadcecdeadcebdbdcbdecaabadceecaaabebbbcccddadbbcceaaedddebeeadcaabaebceaaeaecbdcacecceacbacddcedddbcceaceeddceacaaedcbadaeceaccecadeeaabcacbcbdeeedeceecaabaebaadaceeeaaddeaabceeadebeeceebadaccaeedeeceeedbcaeaacecaeccdeebcdebdabcadbdbcdcaaaaaebdcecdeeeeabaadbadadeedcdebdedbccaabaabcdeacadeaeddbccbbadabceeeccaceaeebbbcbcccacccdaddadaededcaaacbdbeacdaeedbeeecbbacebacdbebdcbbccacadccbdaacedaaddcacecddadddababdbbbeecbeeaceabebabbcebbbdbedeccebaaaeeebccaecdbaeebdacdeebbcbdebaeaacddcadabaabdbacaeddbacaeaebeadeaeadecedaddeaeedeaaadaebabbeecaecbbcddcbbcedbaabdbddecacddcabdeebbdbccbadaebacebbeeeaabdcabdbedbdcdceeeabddbaabeadbecdebdacabeccebebcbddbeceedbaabeedacdbbacdacaabeadebadbbbcededbadceeedcedddbeaedeeedbbeaccccbccaeeccceabcceccbedecdeeacadbdecccaadadeaadcbaddbaebbbcbadebebcbdaebbececadbbeabadeaecdedbbbebeccedeeccccaeabacdbbbdcdcadcabdadceaadbadbcebdcaaccddccaccbbcaaaedddaecbbbeaccbededecdbbbeabbbbebebeaebbdbacacbbbabbcbcdeddbedeacedbcdabcbcdceacedcbbabddddeaccedddcaeeeddcbaeeabacdeeedecdedaaacdeabeaccebcebbceedacbeacbaaedcacbdbdccceabaadedeadabcbcdcbcabacecaecabebdcccceaecdbadbecaaaeabcaeddbeddabbeecaeaacdaccaecbaedeeedebbadabcdcecebcedcacddecedabaeeceddcbbddaebdbacaabdacbdceeceacdbdebeabedeeeddcecdaaeddceadddbdedbbaccedbcecbdacdbdaacceaeaaaacbdcaaedaeebeaabaddddaabcadaeddebbecabbdbacceabeedbabcedaadebccedeaceeaeebdaacebebaccebcceaeaedebeecbeedbeaecdbdbabaadbadcbacbcdadbaebacceaabaeeabceabedbaccbcdadbecaecbddcabcdddccbeedaebcdeecddbeedceadebbceedbdeeabdddcebdbdbcecabcecdedeabcabbccaadebebddbadeccadcdcddabdadeecdaeaacbaaecbacbdecdcababdaedddacebaccbdedeeeebccdcdceedbccddbaedcedcadbaddadcdabbdbdceaadcddaadddbbceeabaaabcdedbaacaaeadaadcaaaebeeacaeeecdceaeadaedeebebdaadcccaadbcbbbbbdbdcaabdbdcdddaedaeebbabeebebbccddceabeecbaddbcacddaaabbaecccedceaaaeadcaebdedbbeddcccdddcccdcecacdaeebcdceebcaadcbebbbaaeacddabbeeeeeeadbcbbcaadcdadceecebbccaeabeceadececebcbdccedeedceeedbcdbcaccdcaaaeaedaaebacbdbcdabdacaaaddddeedabacddbbccdcbacbccaeadaabcdeeaecabaeccacaecccaeeeaccaaddbbccacdaedbdecceaababcbadadbcabacdacbcdceeeaeeedacbbbbacbcbddbbabbdedcedaaaaeedeebbbeeabaaaabecdacbdddebddbadacddbdeaaebaebbcedaababbbcabdbcbbdbcaaadbcbcbdbacccbaeceddeabcdccddaccccdeadbecceceaadebeaadaeabeaecdceecbebdedcecccdacddebdedaedeacbbbdddbdaadbaaccedbecaeeaddedceccaaeaebbabcecccbbbcbeebbdccedcccaccadacbbbdacaaaecccabddababaccbccbcecabdbbcddcbcaacebabcebceebbcabdceddebdddbacddabbdccaceabcdabebcdcebedacbadcdcddbbececcebbdacaeaeeabbaccabbcbbdcabceecdbdeaacbabdebeaccadecadaecaeaabbddaabbaaebdcebbaeaccabdcadebceeabcaabebdcbbbadbaaeaeceeebababaaeadceadbeebaacabdcbeeebbdadeeaeeeeadbedaeddddbedebbdebcadcdbeaecacebdddebdcacbcebbecaccebdecebadcbcebedebcccccbacbdabedabceebcdaedbbceeeecdeccbdaaaebbdeaacaeedeeadaeddadbcaecaecaebcbbceddaeddddaeecdebbedabcabedeacdadbeedbdeecdaebeabaaacaebdaccbeadedeeceabceaebdbcaeeebdecddbdbccececcdcecacdbbcabdedacecccecdabbaeadedddadacccccadcdceeebeadcdcebbdcdadebeebeabcecdaeddbdccabdbdebeceeaaccebaebdbdecbebdcbabedadababeadbebaabedceaececaeacceccccacacedaecdddcebadaeddcbdacaeadedaaabcabedcabcdaabcabdbddddbccbeebdbbacbedbceedacedaacccdbdadebabaacddcaedbeeaebebaabaaaabcbabbceaccbacaabaaccadcbeddcdbecaeceeacbbcecceabeeacbbbaabddabeeddccbaccbddbcbcdbeabecaaedaeeacdceaedebdeaecacbbeabdecccaadadbbddcacbcceedbdbebcbdebcbadebdaabaaeceeecddecdbaadaeeddeeecaaaececccabadeaedceaabbbbbcceaddccdeeddcebbddedaadbcbabcadeddddeebacedcceeebecbebdbbaedcbeacbedccaebbaabaebcbbaecedcbeadcbbdcaccddaccdbaebbeaadcabcbeadcaabaabdbbccaedcaddbceccbbdeaedbbdbdebddeeacdceaaeccdbadcdbeecdecbdbcbaeaedeaebcaecdcbedbdccadcaabaaedecacadaadcbcdacdecaddddbbbcebbceaadcdcbddbeaaeaaacbdecaddaaeabcdeeebcaecacbacbbebdbdbaddaeebeeccbcebecbbcebbbcaedabdcabacdaabeabcbceaecbadadceaaedececaaacbedcdacadadbccccaaabeccdbeacdabbbbeecdebeabbdcbdcdecccbbcbceecdbcaecaadaedbadccecdedeedabcebceccdaaccbedeeaceacadedbdbbecaabeccbdcbdaeceaedaadbebbaedcaacceaaccbccddcadbaadbddadacadbdacbcccdcdcbbcccdeeecedabdccaababacdceababebbeeeebabeddeecacaadebdcededcaebcdeaceccaaedbacccdcaadcbabbcbaaecdbabeaebbcdebdeeaabdaaeddcbbcaababedaccecdabcdaacdceeacbcadeccecbaebbabbcedabcaabdcddeedbedeeacaeedddeeebadcdbddcdaedbacceebccbeccdebdeedcaddbdbbccdddadcdbbdabedbcbaddcededdbdddedaaadadcdebedcaacecbcccabddaaeecccecbacdbcaaaabceeeadeaeedbaaccdedcdcbdcbceecaaceaecaecccbebbddbddbceadaaebebdcccbceddeacdabaedbdbcecacdecacddeccdbdececddccbbebaadeeaecbdabdaedabdbdeadaeddcdddcebeddebcccdeaeaedcdbecbcddebebdedbabdadbcbacebecbebeccdabbabbededddcdeccbdcacdebbabddecbceeedbacabbbbccbcbaeabdbececbddacaabaceeceacebebabdebacaeeeacbbbdccdeaedecbabedcdcbcebaaaacabbdaeebecaddabccdcbccebadedebcbccdaeaebaccacaeccaedabaecdecacdeaadeabcdeabbbceaaeaeaeccdddcacbceebeeecdccdcadebceabdcaecbcaeacccdacaabbddbddeebababaabcedaabbceedbcceeddabceadeabeeaaacbdcbddcaceeeedccedccbceeaccbdcbeaacbbdeaceadecdbbedacbaaadbbcbeedbbceecccecaeadcaaaccbbebebcadbacbadaabdbbdaedccceacaddbdbaebceccdcccecacdceaedaecaedcaddacdbcecadeaabeeaaccbebcbeaecbdbbabdeaccdcaababcdbdebccebacdebeeebdbadecdbccbeceeecacdcddeeaaaeacbdeabdeecdbbdadeaedddeebdabcabebdcbcdbbebecbcddcccccbdedadeebdbacedbbecaabacbbdebcaaacddcdbbeceebddaeaecdccdceebabceddcebdabccbdadeccdbabdeeeedacaeeabbddacaeaeaddecbaecaeacebbbceeadaccdaeaebabcaaaaaebcebbecaacadeeebbebbcbacabaceeecebcedebbcccebbaedeaeabcedeebeeeaeadaeeeeecbebddcdeceababbaaadeecbdcebbeccbddccabdabddaeddeadbbaebdddbaacdcaeacbadbcabbbdbbedcbeddbadaabdcaddcbdbaaaceddadcebdcdbdeeeedaeceaeebcddbadceedcccadbbdaececbbdddcbababccceebaaceededdbdeacebcbdcedcccddeadcbdeccceabaeddaeeceeabddcbbdadabeeecbbbabebcddeaadcaddadecddeadadcebcdabbcbdeeacbcebebadaaeaecdeeeeaceacaccecdbbbcadaceedbbcdacbeebbcdadbbcabaedbbdbeaaedaacdcdcdbdcdaaedabddbbacddbcdbedaababbdbdcecdaeedceeecccdceaacaeadddbadeeebbdaaabcacccaebcbbbebbebdcbcdbcbbebeaccdceeeceebdbcedcbaaecdeddebeaacbbdedccdbbeeaccababccdeeeaeaebdacaeaabebebdadadccaebbebbbdababbcbcaabbacdbdbcedeaeaeecababedadeddcdbdacdcebcacaccdaecbbcecebcbdceaceeaebedcabdcbdcbabbcaddbeeeeedaecbaeeeddabbeccbbcecbbdacbdcaccebbbdbabaaaeaeeacdacddeadababaeaaecbdedaaadacbaaeabadccdcabcaabcccdebabcdeeeabdaebcadeebeacaaabeecbeacbcacaadbaceccaabcccdbdaaceebbababecaabebbaebddceccbacbdceebecacdaebdaecdcdeeaeeddddeebdecadbdbceeaecaecbbcddcdbbaeddccaceddadaacaacbddbedbdcbdaacdeabceeacccedbcdeddcbdaebddbabcadacebaaaddcaabecbaebbdcddaabddaadabeaaeabaaeaabbabedecdcbdebeaaadacaeeeccdecdecaeebeebcdddcbbedadcdaadebddeeceababaeadeebddeacaeaecdbdaecbcbaddeaacabbbdcbaeddebeabcacbdadadedbdcbaacccdadaedbdbbebcbecadabcccaebaabeedddaaadcbbbcaaeababadebbbbeceeeaccdbccccbdccebaadbdbaebdeeaebebeededaacebbebddcbaeddbdacdbabecbeadaacbeeeadeadbeeeddcaadadcdcabececedddbdcbeccbebbbaaebccddaaaecaaccbaeaeccbcabaaabcaddaddebeacedeabadeaabcdabbbadadadebbeecdbeaecddbebecabbbacabedbeecbdeacadadddabcbbadabcceabedbcccbacecddbcaebbeccecadbccdddebedbcbaadbeccededaccebdcceaedbadeeadeaddebcacddaeadeebaaabeebabdebccdcdccedcbeabdaddeedcdabedcdaeebeacebadbdcbebedebcedeaeabaaaccebbccbcceebddccbbebddbedbeadcedaaaaabdbabddceadcaaabbecdceeebbadbdeadabadcacbcbcccbccdedbdcebaeceacabaaccebcbebdaaabccabbbabbcecddaeeaaaecceceabbecccedcdaddbcaadabdbdaceccaddedaedbdbaebcaccbbedccdbbbecadbdcaeadcbbcececabeebddceedabeeedeeaebccccadddcaecbebeadadcacbdbbeaaeadedeedacddceebddaacaeeeddbbaebbabaccdbbaccabcecdbebbdceabdaedcddbdaadaadbdedeedeadbbbdedeaedaabeedbbaaabcdbdeeaceeebddbdbadcddeedbeecacccaeaecccdbccadcadbddabdddcbbcaedbddcdacaabaaecbdceebabdcddedbeaecbcddeebbcecaddadbacabebbcabcbacceccbdabbdbdebecebcbcbbdeaebdecdebccaccdebadccecaeddabededadddcbbbccdecbeaeddadaecacbedabddebbcdacabdecadeaaeaeebaaceabccedacebbbecbbaeccedaabbddebcbcdeebdcdcadcdcaeddeaaeaeaeaeebeeebbbecdbacdddebdcbbadbbbbeaeacabdebcabddceedbaeeacddeebdebbacccaeddcbddbddbdabcccceabeddddccccaeabaeebbdabaacdddaacecedbabcaeabbddeceaeedceaeeedeccdaedddbdeddedbbeaacccbcbdbbeeaabedbbcabddcabedcedcbbaecdcbcddceccceebdeaddddeedbcccebcdedcadcbdccaaaccacdacccaaccebdeabacbdceabacdbbbdbacecaecedceddceeabeecbeedcabcdadecdadbcecebbbdaccbabcdcaaedeaaadbcecbbeeaecbdaadadddbddcaeeaececebeedaaedbddcceeecddcecebeadaedcceaceaabdbdbadaadbcabadbcecddaadadcdceceaeebdceeabccdcaaccadccdaeddbebbaabcaceadcbcbaebceebeabdebedcdadbcbbdcecaaccedceaababbecedabbccaecaaddabcbdbbcbaacceabbabebddbaacbdaadeaeeaccacbdeaeedaeebadaeaabdcaeddcbbbecbcebadbbcbccdcccaabadebbdbaccaeddbedabdaebdcbebdceebbadbadeccaeacedbbcebbdcaacecccacbbeacbeeecdddcccebbeaddecdeaeccdeacbaababdccddeedeaedcbedccdcedbddeedbbbaedddddcbdcbeeeacbdcbecdbcaceacbdaaceedaccddcccdbcbdaaadbdabedececedacedebcebacbbbabbbbabbceecaaabecadbcdeedeebeaccdcbdaecddbedeceecdecbbacbeaddddadbddeacdeacdbacacbabaaeddeabacdaaecaaababaaaddcddbcedabebbddccbeecdcbcdccacdacaacaabeaccbeaabcbbddcceacbbadedbaeadccacecdbcdccebbebacdbcacaabbbeccccbceeeaeeadceabaeccccbeaadcbcaaececeedbedbeceeddbcdbacadeabdabbacdaaaeacedbbaedeaaddcaecbadbcbebaedbcbdadbdbceceabaecebaeaeabadaabcbccabcbabbabeddeeaaccecabcaeecedbacdcdcaedaccadbabcaabddedeedcddcbaeadcbdbdeccedcacdbebeaddabaeadabceeadadcdcebadacdddcbacbeeaccadeaacbbbadcbaccdbbeaadaccabaadaceeadbadddbbdbcecebcdeaebabeeabaabdadeeebdbcddbebbdbaeaadcdaeecbaedecacaaeedaeabdbcebdcabcddbdabaaeebddabbededeeabcbceadebddbcbcbcdebebeedacbcddeccaeaecaaabcbeaadbdddedcbaabeddaceacdddecaeeeebdcbbbeccedcbcdcaadcdabadecddbbebeacebcbdeebcbaeadbcabaeebaaacaedabdbdebbbccdecdabbbdadabdcaaecdadabbbaccbacbdeddeabebbacadacdecdedcccecbcdedddeccbedbceceebeedbacbdedcbbbdbdcaeacecadeeaccbacbedcaeabdcccacadabebcdaebaeacdbaeeadccddbcedddabacbbdbebeabdedcbddacadcedbacacdedbaaaaeeeabbabeebddaaeaeacddbdcaaedaeddcccadabbaddedaadacebdbdeaceebedbebccbaceaababbdcbdcabdedaabcdeaccccadcccdbbdbbccdeeebbbeecdbedddaecbecdababdceeabebedebbdaecaadbedebcedeeabeacaeaebbcbcdbcccddaadecddeebabaeddbccbaaeedeeeeecccecbdbeddecddcbbcdabcaedacabdeacadcecabedbbecdbcaceddaaccbdbcdebbbbcdadccecdacccabbecaaebcdcabeaaebcdebebceccdceecacbdeeddacbcededaabedddbddcdadcddaceebbbcbabbecddaacacadabdbdacaebeeecdbeebabbbdcedaeaedbacbddbeedbddcbdaccdaeadcebeabacadbecddceacbdddcceecabccceaeadebbaadcbbaeadeacbaaaaaebcbabbcddceddecdcdebedcaacebebaeddcdebddebdcbcdbcbadcbeaeeaddcbaebdbdabdaadeecdcbbcdbaaebceeaceadadeccdceeaeddecabcbbdcdebbcebeaaccccdeaecbaedcbdcccabedbadcccaadadccddcceaaacccbbdcbcbeabbacbcbddbeacdadbdececdcaabcbbcdbeacecebbcbeadbbcbaaedbddadccbccedaaecddbeedccaabbabebecacaedcbacdeadcaeeecaadddebeaebdbbdddaceeeadeaabcbceceaccbddedacebeebeeaebdeedbbbbaebbedacccacebccadbbabdecaaeebbbdcabacabddbccaecaaedbcaaaedbdeaabbdbaeedbbadaaedbcacaacadaebaacecbcdeccbeebcbeaacecebcbacccdccabedabedceaebabcebadbacbbbdccacddcdaecaececbcedcadadcbbbdebddeaabcbceeeeceebcbddddabeebecdccceaaccacbddcceabbdbeaabdeedbddcabceddadbdbdeedecbdadbbeeecaabaeeeeabedbbcdcddaabaddcabddcbbacadcbdecdadbeeaeaadaebbecaadaebdbdabecdceeaadcaacbaedecdeeaadadbddbcbbdaddbdeccbcbeccbabbbcbcecabdacaedecbabbacaedbaebedbedaeacbcdbecdccdbbccbdaaeddecabecbdbcbddbedaedbabdaddeaccbecdbedcdeadeabbdeedadadcbaabbcdbaaaeeabadbbcdddabeeeebbeddebededbeeeabcbbbeddbcaeaccdabcbcbbddeedaadadeebabebdeaabcceccaeaadabbbbbbeacaedbcdcecbeeacebabeeaddebdbeadedbdaadaacdecbececaddddccecabdbcbccdcaeeccdcaacaedbebaccbbcbcedaebbeabecaabeddcceeaacaabcecadddbdddabebebbdccedceeccbcddbacaaecdacacecebababcdabaaadbbbcaaaddaeeaebeabadacdcebdaabeeccaaebbcbbebbaacedbbbacaadaaecdbaabecdedcadadeadaadbbeddbacbecbaeccabcdeacabeacebadacddaebeddaebdbabbeccbabeddaeaeabbcdbbcceecabdeabacaebeeabcbccbcabcdebbbebebaacebcbedeebddcdebceaeaedbcccbceddbaccaccebaaccadeaaceabbdccddbeaabdccedceebecebaccaaedacccdcbbdcecbcceaedaabdadbcceebbdabeceadceaaedcabdaedecadcdabcdacbedaceeaebbacddedeeadddabbdbccebcaceddabbcdeceadbedbbeebedddedbbddcbddabcdbbeabaeccdcedcdbbceceecdedeecabbebbcdeecbaaedebaadbdcaabbddccabdbadeeeceacaaaecacccaabedceeddadeaacbdbbddeceeaccbddbdccebdbcaecaababccabcadbbebdaddadcbddbceddbccbccbbbbddcadeedbbdbdaaeececcddbdbddddebeaecaaeccecdadadcbddbcadadcdedebeacacceabacdeececedaeebbecddddecbeddcaceabdbcaaadacabcccbacabdcdbcebbcedaeddcabadeeccecebbbadbdddbaabaebaadcbdeecaeaacadabcebeaaeabaeeababeadabbcadbaddacccbbceddaeceddcdbbacaeabdcaddebbdbcbabbccdceebcaeeeeecdadcedbadeebedebdadaccddedadebccedcadbeceebaececcddbdccddbeddaadbcacbdbdbdbebacebeebbaabeceadddaacedbbbbadadceeddadbdbbbbccacabdbdebaeadadbaddededecbcbecacbcbedbcacaedacdebdecceacebdbabdbdcdbccabcadbadebaeadaeadeabbddbbcadbeabcccaddcdcbcbbbabaabbcdebdadabbbceacececbcbcaaeaacbccbeeabdceeaccaecacbebbbdbaecaeeadbbedaddbdeaacecdcdedbadcdedaaaedadbceacacbbcbbccbbdcedacadccedbddadecddeaaaabadbbbdddcbbbadbcecccbdccbacadeebbbcdeacebdcdbdceccbcdaddbebdaaedcadeebcadbcecbadabdbcdceccadeadeceabbdcabeabeacceeccdbbaddcbadbaadaeadcccecdbeacaaeddddeabbcecaacdabddbcbabccabcdcddcaaadadeaadcebcbdcaccacaadebbdedcaebcaccbadceecdcabbbbebacebaddccecbaacbbcdcdbecaadacabebddadbabbaecaebabaabcccbabddddecaccaddccaaebcdedccdeceaacbbeedecdbccbbbdacdcabdcbdbcbacebbcaacdcccbebcbdbcbaadcadaabcdceddbedbbdddebaaaaeceababaaacdacbbaddedccbebcdddeddbadeddbdaaadaaacdcdeeaeaecabdcbcdcbabdadcabadbcddccdecbbdeadeedbddabbacdbacacdcdabcadeacbeeaceddebcbaccebeceeeabacaeeadeadaeedaddeddecebdaebeeabbabbadabebcbbccddbadbabbabccaddbdbeaedcbceaadbeeeebdaddeadcbcaeedcccdcdaeecbaccacadacdbacdddeeeddbebbdeaacadbbbaeedcdaebdabdbcbdbaeeecedacbbcdbbcaeaaaabededdadcccaccbabaddccaebecbcadabeacbeacebcbeacaabccaeaebaccedcbedcadbaecceaacbbaeebcbbacdeacabaeddeddebdbcdabcdaaaeeecceecacbeccaeedcacaacaaeccaeedaeccbddbbaebabebaddccbaebedaddeebcedabccaedeaaeccccebdeaaadbdaabaabcddbcdebeacaabeeebaaeceececacacaeeeceeceaeaeaebbcceebcbcbbbeaeaeeebaeeaacbdbdcbbebadccaaddcaeadabdecdcddcebcbaddbcdbcaaaedcacecbcedcbcabeeabdcbddebceeaabdddaeceedddccacadddadbccdbdeabccdddeddcddcaadebabadcbecabcabcebbbedcbdcebaabaacceeaecaccdbeaecbbbabbeaacccbeddeeceaabebddbadbacadaeaecaedcddeebdccebbaccbbacdeabeccdadcdedcbceeaaadebecadccccbccddceaaeaeebceeeaedaacbeabbacadbbdbdaddceddeccecacbcedaccaeccaccecdcdceabbeeabbbdcaeacaaabebacbdbcaadcceddbeeccbbcaebedeccaececaceeeaacbcaeccbbddcdcebeaaebcddabbadbabcebbddacebdadeebdaebdbddcbddeddbcadbcddabacebcecabeacaeeabeaeccbedabbbdcdccbeaccdbeeebdaabeceabbbebaecdaceeaeddcdddcbcaeebacbaaaacdaccaecdedbceaecbadaecbadedabbbeeaaeebadbaaeeeaedabbedaeeeedbabaaacbeddbbbadecedeaaabdbbeedceeccddcbadeedddebcbcbcbbbddacaacbabaaacbbeacacadbdbecabaccacbdbcaeadbaedbbeedcabeabddeacdcecbbeeebdeaabeaebbcacdccdceaabbdddbbbebbadbdcdeddceceecaabddcbbccdacabbbecdecaaeddacdeadbbeccddbacbdbbcabaeedeeeabdcdeeabdacdaecdbbdebeabbdccbcabcedaceaeedcabdadcacaaaebbbdcdebaebeeeacecdaabceeeedcadddbcaabbcaebabcdcbddeacccadadbdccaaadbdeabdbebeddadeadbaccddaeeedcaeedebabbcabdcadaccadcdddaeaeedbadebcdcbcdceddabbdeaccaacededeecccccbaaaaceaaedbdebaadabceeccdcddbaccccbeebabbdbadaaeaeceecbbeeadaccbacdeaeeebbecebcdbeabebbbaddaebeeeaaeebbcbdcaebbddacecddacabbaeeeebdbedcadeccbeeeecaceabceabaeeabecebcbaebeacbdccdecacebaaabeaedacdbaccecbbdaceecccedbcacbbebdacacaecdeccebabcaabebcceabcdcaaeadcabecbebcdcbbbedeecbecdebeddeeabccbebaacbadcceceebbeeeebbdecbddcceededacdcabdecbededbecaaeadcdabacabdcdecbbeadcaadeeecdbbdadcecbbcabbdededbdecbcdccaadedaecdacdadeedccddcbbceebebdaacedbaacacaecbdcddebabeedcaedcccaaacdddbacecddbccebedacbeeadbdedcdaccbbeabdddcdaacecdcbbedeadeeecaeddebddacbcddeedbbeeaddeaebbadcebdeedbdacaaadcbabcabcaadcadedaaebabceccbdbadbbaacbdeeccdeeeacccacbcadabbdeeddebebebcbeaebbbbaadeadaceaaaabddabbbccbabdaccaebbbedbdcacbaaacbbaaeeeeeaabcadabebabebbbcaebeabcbbdcdeceeaeecebabaaedabcabeedbedcaadebecbadcbcdbabddacdaaabccecceaaebcbaabdacbecbcdcdccaedcceedbebbcceecaabeabcbeacbadaddbacaaeeeedceecdedeeabedbbaebcadcbadedebeecbdceebccccdecacedeeecdcaddbaaaceebdcacebbdbabceeaccabdedcceceeaaaaaecaeaeeadbdaaededceedcadccaacaebcebdcabddddeaededdaddebddeddedccabbeddcadbbedcdacedaeebccbcdabdbdeeacaedadcdddcacceccbacbabcecacdcccaecdbdbadbeddccddbbdacdebbdbbddebabaddceecbadacbaaeeaabacacbdbeaaaeedebadebcabecabadddaaadbcecbcaaeaedeedeaacaeaadeaeaceaedbaeeceedeebabcbadcdcbbebabcbaeebabadcdccbaaebdbaceacbeacdddcabebbcdadcacbecadbaaaeeaccdadadaebbcdbabdcacddaaadcecedcbcddbaceaaadeddceddeadedacdecdbdbdacdaceacadaebddceadbcacbdebdbeaebadceabecbcbccedaeeacbcddcdedcdacebdcabdbbebcdaeadceabbdaeddeabacaddaccbdbdaeecceababeedceedcbbaacedcdebdaaeebbcedbcebaceaaecbbcedbbedbdedeabbeabacacbeababdbeccceceebdcdcadbbeeacbceabbacdbdeceaaabaeaebabbcadbebbdcaaccdbcecdacaaaaddebaebaeadbdcadbadabaecbaedadaadeabcbcbcdebdcebdbdbacbbbbaeaedaaadeebbebeaedcbeaddabdcadaabbbcaaccdaeaaadbabbdcebedcbaedbbdccdbbcceeabebbadbdcbdcbccccbecebdbccdeceadbeaadcadacecddeedebbdaadadbabeedbbbcccaedccbbaccebaedebdcbcccedbadcbcccceacbacedbddbcbabdeadecebaccbdddbbdeaccbbeaadbbcbbcedeecebbdbeaceeeaceedbcbbdddacabdbdbbccebbbadadcbcbdacbcdcaeeecbbdbccedeadbacbadbcdeedbadcaacaeaddddbbeedbdedadbcccedacbbbbdadbdbbdaedaabddddabcdbcabdaeaebaceaaacaebbddaeecceadcadbadbaadddadbacaedbcbaeecbcebecccbdcbbaaebdeadbeceedadadcaebcddedddceabeacbdbedccabadddecbbebbccbddeddaeecdaddceabbaaaddebadaceecedeebdcdebbdcedaadbadbaadebbdcdaaabaabdabdcaeccacdaebadaccbeaecdeeddcdacbbcbaedbdaedceebabddeabcdabddabcbcacddcaaaebeaabaacdccdebeedbdececcdcbeeadcabedcdabdceedcedabdeecebbebaddabedabddddcdacaedbdbcaaeecbecadcceaaaedeeadbeeeaaedcdcbedbcdadbcbeedbdbabeebaacebadddbaaabdeeaedbcbbdbcccbcabdacaeebaeaadcacebdddcbceddddcbddddedbcdebddedecbdcdcdcebddceddcdbeacaccbaebdeeaadcabdbdcabbadbebbebadaccccbbbbacacdcaaceacabcccdbabeacbebabaccabadbebddbbbbabaabccdaaacbadbcdbedbaaccdadcbeceabcedccecccdeecabeeacebaaddbbebdbccadedbebdcadcbbceeabcaeadadceccebaaebbaeaaecdaadccabebddeccddebebcbecbaddbdcaeeadccbcaedeaccdaddbcdcbbaeceaecbcdbdaeacecebaaaddeeabbccdacdabeaeeeaedbccccbeeddeebbdaaeceecdbecbabeeebedddbedecccdbaacdecbdccadaacadceacccdddddbdecddabdabacbbedcdbacecdadbdaaebebaedcddddeedeecbdcecbbbebecbbacebbbedacbaacdadccbebdedbdbabaacbceeaccccbdaaeeccacaecedbacacaaaabbaaadbcaacabbbccdacbccdedeededbccccabcdbddaeabbcbdbccdbaeeedceeeacdcbbaaddcbdeccacadbdeeceadddcedcabeeddeecdbcebcbadbdcdcadbdadabeebeacadaabaeccbabcccadcadbedbbedaeabecdbcccebecbcbdeacadccaeaaceedddcedeedcddeaaadedecbcedecdceacbabaeacdecdacaebccbccdcabadaaaaacbaabacebddceddadbdaeaaebcadecabbdddccebaabddbcaacdcacadacbdcecccddbaddaebebacbaaaadcdbcacccebcebdeeeebbceecebeebbadcbbdbbdaeddcbcdeaaccaeddbbcadeeaecaabededaebdeaaadbecdbecadaeadcbeebaddbcbdcbaacaaadbceabacccabcddeadccdedbacbdbcbbdeadbebebaaaedcebbbdbaccaddbbcaacdbacacaeabdcdecaabacdebcdaedeaecbccaaadacbaebceedaaacdcbccbdbddeccdaeadeeedbeeabcbcbabacbaeebbdbbcaeacdeecedebeeecbbaeddbcdceeaaabedddadbeebbbaaeaaedeaeddaeecaeeaeeedebecebedaadeeebaceeeaedeadedaadeeddeeeadeeaaceceacdddecebdcacbbcddebccccddecbacacedbcecdcaabeedcbdeeadabbbaaadeccacedabaacdebcabcabcdcaeeedbbcbbebbbabedaccedaebcbdadbcdedcddebecdeeabaaedbaacbaedebabbbadaaebbcdaddaddaceebdaeeeeeecadaeaecadababebedacaeeddcdbecbedeadaedbdabccbdedbdeacecddadbcabcdbcabbbdebdcbcddaebdcaadceaeddbdadeeabddadbddedccdeededdcaebdbedaecdbbcaaeecbdaecbbdecbcadeeccbaeebbedececeddceddddcbdcbbdedceabbdaddebaecbddccabebdbdbaabbbebabdcacdaabadcacedcccaeceacdcbacccdccaeaacbeadbdccbebdaeacbedbdcbebdbccdcacedcbebadbddecddecedccecbdeadaccedceeabdbeeaecadbacecbdbbadccedceadbcbbdbbbcbebeedacdeacadebbdbdeaadeaeecdeaaacdaccebaaeccbeaedaeabcedaccddbedbeadcedcdcdcabdeecbdaabdeebeaccedbbdabecdcacdeceeaccceddededdeceaecbaceeccbddbaabcebcdaeaaeeeaeeaabcbabdedbebccaabecdbedbdebaedbceeaadbdcbbbbdbbadcdedddebaadcbacaeccdaeaaebcdebcddcbacbededcdbebabccbecbcccbcedddbeadcebcebabcdbebceeddeeceeacdbbdeccaaaaadccbdaaeecceaedbccceeaaeababaecdcaadaeadabdceedbcceabcbdadacdebecdbeadbeceebdccdebedbabdeeaeacebbaadbebeccbdbddbcadebcaadceaacaddbdcadeaacdeedebabdddabebbddaaebadbcaedaadbabeeccbcedaeeadebcaaddaabeebbadddeadcebceceabdbcdaecbedecaeebccaeaadceeebecacbdccaccbdabedaaddbadadedeabdbcacbdcdacebccddeedcbacddbacacbadbdceecabdbdbebacacccadbeedddeaacabcccbdedbaedebbdaeebdddbabbabbeeddedaedaadcdeacaabbbccbccbedbcdbebcdcaabddeecccedadcedcdaddbebddceeeaebdadaedccedbdcabdeedabdacbcacedaaababcebeaeedcdcecddaaddccecebcadabbedbcddbdeaebaebdaacdbceebeaedbcbbeaeeecaadcccccbbbccbabeabccbdbeadbdbbdeddecbcadbedcdecdbedcbeadccabeebcbadecceeaeadbdebaadeacbedcabedbdbcedaeaaacdadccaeacabeacabcadbeccbeadaecdcabbbbdbbaedabecceebccacbddeeaacddacdabcabdccdecaacaaeccbdbdbacebbcadbdeaabbcbcdceccaebadacddeabdadcbbbbcedaeeeedadbdddabeaccbecbbddbcebbedbcedcccbeceedeecacbdbaeaebbbddebddcaaecabcbdbddaaecdacbccadaddcdaadcddbaacccdedaabebaecaaaadaaeacbcededcbecebeebddbceadceddedcccdbceccbabbcadbdbbaecdaaecabdbddebbeaaecbdaddabbcebbbbcbcdebddddcebcaaaadbaccdddaeccedeadcebedadcacabecddcbcbaecadcbedbacaaabdbecbebcbccbabdbdeaadbbeedbeccdcaacbdaeabbeabdabbcdddecadedaaadceeccdedaecbebddaccdadebdcaabcebbccecbebcacaaedaebeaacaaeeaadeddcbbecabddbdabacaadabcdcaadbbddbbacaaeeceedcbeeccaaacbbbedcaacedcdceaacbdceebcbdbaeceaaddaaadcedceaecbecbeabaebedbdbacacbaddddcdedcddebdeacedaebeacaabdbdeaabacabeaddcacddcdecdbededceebbcdeeacededacebaedecbabbacaceaaedcddbaccbbaeccbbdebdabebcbbbcdeadbedcbececbaccdbaccdebcceaeeedbcccdaeaaedebabcabeadbdcccdacdeabddcbacbbbbdcbbabbaaaddbcdbacbcdbceddacbcbbacdedcaaaccbcadaedcadadaccaadbcdaabebedddaaadedbdabdeccceccebdbaedcdadcabbbacccecbcabeeabacbedcbcadeecbcabeecbcbedbbbdacabbdddcababccbceadddceedbedbbddbacebdbddabbeceeabddaedeeedadbbeccceabddbbdbdeeebdaeaebcaddbeeeccebecaaddbddceccdeedecedccaadbececdbcbccdcaaacbeebccaededbabcaebeaabaebeabaacbbbaecabaceebeacbdbdeceadaddbcbcdddeceaaecdbbecbbacdeaeceaeecedeaedcdbaebcddaaeeedaadbebabbccbaccedabdaabcedcecccbdeadaaeabbaddbdcaedeebdcedbaeeacdbbacccabcacaaeceebedeccedabbaddbdadcdeaecaeabccaacceaadcdeedabdbdaddcbdebccaaabdcedeeacebabbeaceddeaaecbceabcccacddebbcaddbcbeaaaeaecadcecbabbabcdcdccaedbbeabcdbaadddddbebdbabbadaaaaaadedaebedbebeccdeddbcdeaddebceedbbdbbedaebebdddccceeeeeeeaaecbadddcdeaecbbcddadccedbdbceccaddcbebaecedbbeaeececaecbcaccdbceceaeeeedcabeddababeeebccabdcbabdadcbddcebcdcabadeaacbcccbabaadedddaecebccdbddadbcbeeeceececbaedddacbcbccdeabaeccddbaabbcaddbceceeedebaecceaeecaeecbdbcdcecdbdeeeddaabeeebbcecddcbeecabbeabeaaeeaddeacbddbebdadedccdcbdbbaacdbeacdebbdcabbadecbdbabacddecdabaabdeddebbdbeddbbdbbbadeadebdeeaeddecabdedeeaaabededdbdbecdbbdebbaebabeaeccdedeeebbebcbceccabedadccbdebadacbdaacceadbeccabbdcabebbddeadbeedababebdeceebecebabbecbcbcaeecadcabbcedcedacabeeeaccdaebeebdadddebcdeddceeaaecdbcbeaeddcbdebbbddccceddbbeeddaaceaceacdccdccbeedbbdcebbccdbbbddaaccddaedabceedaabacacbccddbaaeedeaecbcdbddddeadeccbcbdbcbdcdaeeebbaedcdcccbebbabcdaacccbdbdaaabbdbbaaddeebdcbcedeecbdbacceccaacedcdbebabeddbdddbedecddbdedabecbbebecbbcadeabbcdaddddaceeccaaadbabbddeaecbccdabcaabaaaccdecdabacedbaabaeaaeeeadadceebaadcccbaacaaedeacbabdecabcdeedbbbdabcadabdbbeceebaedcbcddbdcbadcbcdaadccdeebbcebdbbddaeeededcebdaceddeeddacdbdeacaaebdddeedebaeacbabeebbacdecacadadbacaaeaeacddbeaaaadbbadbaadbeecbcdecacebaacdddddacaeebdecbbbddddbaecacebcbebcedddcbbcbaecbbdadeebcbbbbabdaaccadddebdbddaddaecdaedacddccbecbaccdecebccdcebbdeedceacbeabaddadacddcdebeeeedcaeeabcdbdbdeebdbaeceaeaccabccaacaeccbacbddbbebcaceeeeeccbbabdacbeeecddcaedcabaccccbbedcadaebdcacddaadddbddebdedabecbaddccedbbcbbddddbdecaeceaababedbebcedcdddebecbedcbdcdbedecacddeddbbbaacaecceaaeebeccdbabdabdedcccddbddebedcdaeaaebdbebbaabdecedeaaecceeeeeaceeedaaaceeaadaedddacbcdadaceeaadaeddabaeeeeebbcbcddddabbcadcedcdeeaedceccddbabceccabeeceeeceedcacaaeedceabdaaadaedacddcacdaadcbbcdebebebaabebbecceadbbdddacebeaebacbdaeccceabbbaccddaaadeaebeeeccccaedccedaceadececabeebcdcbbcedabbbdaeeebcecababdeeedacbcebabaccabbaedaaedaaebeaaecbdcadddaebcedcbccbecddbdeabbecedecbdabdacdaedbbadbeeceacdebdadccebdebeceedceacddaddeceedeaaedededdbaabcddaeacccbccdaeccdabdeabedebeacabdbbdbbeabbecbcaddececebbcedcdbbacececaaaceeceeeecdacadbbdebdeccdaacacbdcaecbbeaccbabaaeabdceeeddcdcbabcadebbeaccbbbabbddbbdbcebaadccecceebaaadeeeaaddbeccdbcbdabdddceaaececddbcddcdbaabcddbaaebacbbccdaeecddbaeceecaaabaebdeedceecdaeddbdbedaebcebceecdddedaddaaaaaeaabcadcdbdeebecabbddccdebbebebccbedccdcbcdbccccebcaaebcccbcbcbeddabeeeadcdaccbbaebbadabdcecbbebaeabadddbeeaeeecbadcabcadbcdbcdaecacdceeabbaeccdaaaaaacdbaaccadcdedbbacbebdbbaeadeaabdcbcdbbedabccceddeebbcaedccdbeccbadecdcedadcbcdeecdeccabdaacdededbcddeebdbeaabeababdcecdaecbbcccebcdcdbcccccbcdbbabceadebacbcdaebdbcdbebbecceededdebaaeaebbabedaebecacaacaebbbabcdedabbacdabcbcbacbdccdcecdcbddddcaeadbcaadcedacaddceeacededebecdaedddbdcebeeedaeedddeeebcdacaaadaddcbdbabdbeacbcccebddedcbcdadbbccedadcdebedaddacaaeebdbaacbcaccdecdadcbeeccdcdeaebabeccaddaddadddaecbebededeeebcdaeeaaaddecbbeddbabbbeeeddebbdbabbbaebbbbbbabdbcebbcaeecebbacdbacddcceeeddbddeadeddcadeededdebcbddeeddedeadcceedaceeaeaaeadaddabbbedcaaedaeebdaccbababdaabbabcebdbdbaadaddebaeccaeccbbcacedbaacbeeaeceadaebebabcdbcddbdbccbddcbebaabddccdbbbdaaaceaeddcecebbdbcaccecaebdabeeaedebacbebcedeaaeabdedcebdbadbecabbaaeacceedceabeddadececcbbdecbaebdabddaacaeebcdebbabdbaceedeacdddaaecccecbdbdcededacecbdcbdebcdedbeebcdbcebdeeebeddccbeeccecbbaaceabebabdadbccdddaeeacacacddaacbbbdeebeeaeccaddaaceeacbeabbcbacdedeedaebcdbdddddbbbaaeaabaebacbabaabeccaaeddddadbbdaddebeeccbecccaaacababcadcecbbeacaaaedadcdccaddeaeaacdbcccebbbdddcaaceaecbacabedeeabedbbbaecceabdbccbaadbacdadccccbeabcdaddbbceaddbeaaddaaadbeeccccaacaecbeeeebbdaeeddeedeeacabeeaebccccebceccbddacbbeecaedecebecacbedbabbaececbcdccebaebdbcdcbaaeeecabacbcccccadecbbaddcddbcebcdeddbbbbcceedbcacabbdecbbdeabbabebcdbeaacaccaeaddbeccecebcceddedbccbdbacbcddbdabeccacdbeebccdeaaccdbcebabaedaaadcaadcddbcdddcaddbbaaacbeabbbcbedaadcbcebaaaaebcdbbdcccddcdcdccbaebceaceabdcdedcaadebadbcbaceebbccdedecbdcddbeeddcaddeecacbeedaddbeeddeedacbccbacabcedabdabdebbdabdeaaaeeadcbdddecdbcceebcaabbcaddaaadeaadeddadcdbacccddaeadbcebcbbacbccbacaadbeccebcdcbadcbaeaaebabdccebbabebaddedcdecaaadecbaedaaabbecdadccbdbeabadccddccceebccebbcdabeaeeddcbedaacbceedbebcddbcccdadbadcdaebbcecdaedabcddcebcedebdaadcbabdcabdebedbdedbbeeccccbaacabddabceaaddadeedabebccdbacadbaeeceabddaddbcccbcbcbabbacaeddceaccacdcabbcdddedaeacbbeecabddcbacaadeaeabacebcabcaaaddebdceceecbbbaeecabbaaaeadeeaebeebccdbbcceaeeadbdcedcbddbeabbbcebcbebaecedcabecabaccaacbceaeddcbecddcdddabecceaccaecbbaabceceadcbddcdbeabbadeccabdebaccacaccabadaabdaceeaeadcaabaadcadebabccbcdbccabeaeddccbbedbdebacdbeabaccaebcbadabeadaecabcabcbbeceebcaecabcbaecbacabbdeeddeaaeeabeedcccbcecedcadbabbcacabddabcdebccacadbdcdcdbaaebbebaaedbaaaebeaebebaadeeebedabcdbecaeebbdaadbbcacdadeaeecebadddebdbdaececceaadbcbdbeeeacbdccaebeaaebdebaecbbebedaccddcbccdecccdbeabecdadadebcbeeecccaaddccacabeaeebadddaebdaceedbdeccbebdaccdbddedebaceaccbaacdecbaeacceecdddaedcdadeccacdabaeeebcbbbccbecaabcddecaacadeacbaedaebdecbbadddbbcedcecedebcbaceccadbdbdeedbdadecbcceadeaddbecbdcadadceceaddcddcdaaaaecbdbaeeaceabcddccbaaabdcacbabdcecdecbdabacaabaeecdddeeddcbbbeabbcdbddbebcaacbeaaeacedeeadaccaabdaacbcabbbdbbebabadbcddecadbabdaebaaddeeeaeabbeaedaaecbedccbceaeadaeddbaeeccecaceeadeeaeedaecadaeabacadecbcccdbdcaeebbdbeaeaebdaacbccdcabcdccaddbdacceaebceddcadcbdbdbdccebbebeadccaceeeceeaaaabaeeeaebabeeaaebadabaabcdccddbcecbecbbaceaabbbceccbcbceeadbeecddcdaedbbbbdbcbccaaeabbcedbaaaeadbdcacaceaebcdbbedcabddbbddcdeacaaceebbaccdcbbbcdbdcceeedbdacebeeaabbeccdeecbcabbcebeeadbdaecdbaaecbbccdceeedcaaaebaaceccddcbdaedbecebdabecadccbcbbbedbedbadceeeccbbbbdbdccebccaaabeedcddaeceecccaddddcbaededdccacaeebdaecedcebbcadaebcbbbdbecadeedadddcaadcaabddadebebeaccbeeeaaabeeeeebceaeaedacaacabcdadacddcdecccaaaabebcdbcbbecbebedadbaccadccbbaebeecdbabccdcaddaebcdebceceeacbceeaddcadcaddbdeebdecaabcbcedaccceddaebdbdcdedcaaddbbacadacebbbeacdeddbbaceeeedacbebacdeeeedabdaacaedabebadeaaaeeabadcedeeeaaabbdbddebbaeaebbbacdaaecddaeeceaebdbdecabddcbddbebeadedacadcadabdacbdaaecdcccddbadabaccdcddbbbebbdeebbeeceabcedddbeccbebbcbadeddaedbcbaceacdaccaacadaababacdeccebdbabcadecaaeabcbadcbccbdbebacbedbedbbaacabddedebabcaedeaeedecebbaeaddcddcaeaabbeaaccedeaabddaaaddabcbdabbeeabdacbcabcedcaeadbdeeeebecbccbedceddcabdbacbeddccedbbedbbbbdddeedadadceadecabceceaedebcdaacebdbedeecedebdbcdadbeebaaddaaababeddcabebdeaebbacddebdeadcebbcbbbbeabeccbdcccaeeacdabcaebdddcdededeedbabdccaeeadceccbdeeeaebeceeeddbbbdbdcecbebceddebaddadaabeacecdbdecceaaccadbacdeaedcdeedcdbbebdbdbeadbcbacbcdddcdaddaabbaebdbabdbebabedcddabaadadaecedbeebebcceacbdcccaddddeaaeaecdebebaedcdaddecaceeaadeabeacdbbccaeaebaedbeddbbdeebbcbadccabacbacdcbcccbcacadcebcdbaedeaccdbdbcbdcbddaaadadbadbbcebdbaadebdbeceacdedeaeeeadeebcabeacddacbbcececddeaabcbdebbbcdbaccbddacdcceedabaceccddbddcaeacecebeecdceeccdbabccadcaecabeabdcdedcbecdbabeaabaabceedaadbaabdaecbdbadaaacdbdbcedeeecaadddecbecdbdeaeeeeaeedcbeaaadeecaaaaebbbedeecaebdceabcbabdadaacaccbccbaebabeaebbdebdcdbdadcececeecdadbceacbcbeaddccccdabecaababdeaadaebccbdabebdbebedadcebceccdaeadccadbaedaeabdcbbddbaeeeeecceaebabeebdedaceeecbdcbbbdcaadeadcebcdeacccdbabdbabaecdcdeeaeaaebeccadaebbbeabaaaccdabdddebdcaadbaeedbbdbdadcddedaddcbbcddcaabdceddbdcddceeeabcadeaaecdecbaeabaebccbabddaedbaaecadeeebbaeebbbbeadbbabdbacadbcdcdcddcdababecdbbabdeaecdccebaccadddbcebebbcabaeaaecdaeacadcbbdaeeacbeeaccaabddabababdbadaeebadadbebeeacdbadcedabbbadadcbdabddddadcbdedaaabdceacceddedbccdbabaadbebcbbbdbceaaacedddbccdabdbbceaadbdcebdeabbebacecbaccccbedcdbcededceedceedeacaedcdccceecabccbdecddaccbacaadbaceeddadeaacebdedacbedebaeeebdaceeaddcabaaacccedabdbedcebeabcddacbcaebcacbabaceabdbcabebaedddaabbededacdaedaeddcbccebcddcebecdacccaabaadcccaadebbcadeababebdbaacccdebebdcdabcbdcbdcbbccebdabcccaaebbcdcdebcbeceaabbcecbcacabbbccabadaaadbabcbaacecaecddccaaebaeceebeccaeccbaacbcdebeceaabedceeebbdcadedabcacecdcabccdeeeeaaacecaeedceeaebabdbbbdddbbeebdcbeaaeecdadcdaccecbdbaedcdabbdcabbededaccceacabcdcacbaebeeedcebadabedcbcbedcabdedcacbabbbccdeaaacadbadabcbbaacdeaabaedceadbacdbddeaabccadabaddebbedadcddaacdcebbaceeaaddeeccdeebcbcdededdbddaddebcdcaecadeaabdcbcceedbcbbbcdccadbcdbaedeeebacaacdadbedddbcbcdeabaaaeeaabdedccbaebaeeccbddcaddcaeccabaecdccacdedeaacdebceaddebbddcdbcdcaddedddbabdeaebaaaeddeccadaceacdbeeeeeaddcacaaeeecaccbbacadbabdadecdcbdebeaaacddbcceeedeaebadcddcbbdcaedbbbaaadadbbeadcdcacbddebdebdbdaacdedcecbccbdbaaebbbdeeadbbabadcebceeacadaebdbdbddceaecabeeaadaeaeccacccdbbbbaecbaabbeddaeabcacebcdcbbacdebdcaebbcacadbcabeabebbceadceededadeeaabdbbececdddacdebeaccbaadbdcacddeadecabdacbebcdbedbceebabddedcacadaacaadaedcdeacedccaddbdcebedebbcdeabaaaaddeaaacddbdedabedaadcceeceabacadebcdcaeeeeebabbeacaaeaacedbbebdcabdbbedaadceeabbdeaceebececaceebbbdbedaedccbaadbbadaacdaedeccbaccbdcaaaccecaadecbedccaabbcbdcabeecccdbcaabeadcedbcacdaacbeabbdbbeeeacdeacaecdebceacabbedeaecadcbaaddeddccddbddbcbbabaaeedeeaedbdcccaededceddbdedadbaedbddbaccdbdacaacaabadbbeaccdcedbbaeabeccbeaabaabaddcacadeceaaebeddaaedcbbcaadddeecaecdbcdcbddbccecabebaaadeeebceadaaedcecebbcdcccbbbbcebaccaacededdedaeeaceaaebbbbdedcbedeaedbbaadcabbadebcedbcadcacadcdbcbbcebbdaeaddcbaccebdaeedaecbccaebabeabaaceccebeccbbedcadacddbececedcddbcbdcbcccdebeabebbbeebabecabcbabaddcaedebecbdbabaeaadeceebedaebcebaaddaececdcecbaedecdcaddddbddbaedbbeadeccdcebcbdadeccebdcccaaeaedecbacaddecbaccdeadbabcebdabcbbcceaceaeeadeabccedbdaceccaadeaeaddacbbbbacaabbcbbcdbacaaeaaadabbdaeeedbbbabcdeccebdaabbbccbeccddebebabacbeaaddeddbadcbbcedcbdecaedacaeecbabeadcebabaabeccbbbbeabbcedbccdddeaedccaaaceedccbecbcaaececeaddadbcdbeddabeadcbaeebaaedadbbddddeebcddcddbaaecbacddecabeaacbaebcabebbbebccdecbebdeeabbeceeddcadddbabdedbebbdcccaacddceccaeaecbabdeeeedcebdaabbeccbbdaceeacbcbebdbedbcdcbcbebacdbabedbedbbcdbbaaaccdddbdeeeabbdedaabdddabbeedaaaeeeaeacebdeeddaecbaecaccdcacbcdaacbaceebaacccaccbbbdaeddccaaaeadcaaebcabcaabceeccedaaacecddddbaaaccdaaabdcdebbabcdadcdabdbeeabdcaedeabaabacbebaabbdcadeddbaadbdacaaacaedabbaeddebbeaeddacabacaedbddcebacdaedeaccecbddcbdeaeaecbaaecbdcedebeaaeabceaccdadedbccddddcedaaaaeededbebaabaeccbaadededbccebdbcabccdbccbdbedeaeedddbcdbddcdacacaceadadebdcbddbdceeccbddbeeabeedcaecacecdddeadeaecccdcedeaeacebacddcdcebacdbcdaacbdcbbebbddebdcdaebdaaabdccbabbbbaccdaecedcbbaedeeceeedbbecbbacbeaddddedbeeebaeecabecdecdadaeaaadeddadbbbcbececcbdacebdccaeeacddddccaceaabcbcccedbbbdbdbaccaecbcaedceaadecbabbdabbedbbddbbbbeddebdceabacecaaabedbaccdbdcbaaadaacceaccdeeddedcadaedeabbbadbebabbedbaedaabaaddbdcadccaccdcdaebcdaabeaeceeedacedbecbdbdebbabdcabcaeeeceaccacdbabaaadbcabbebdbaeaebdccbcecaccacacadbddbeecdcdeecceaeeadddbecdecadbdbccebcdcceabdabeaacddeaaadcdacebcaacdccdadaebacbabeebeabbeeadccacacddceaaceeccddbaadddceedccbeabcaaedcbacadedcecadacdbcdebdebeabbdaabdceabeddbaeccaedadabebebdecacabddcabbeccbededdecdecebaeeeedcecdbabccbbbcadaddedbcdaeddccccdeccabdacebbcacbbecacaadccdeccedbbdeabacccbbaaccbdacadccebbdecbcbbeadbbdaccaaadbadeacdbcedebbecaaccbcdcebcbdaaaebbcecacedebcadbcdebdccbdbbdcbeeecadcbeeebdecddeadeebddeccaaccacbdebcabcebbaacecceabbaddadccdaaebedddcdceebdcebaabcbebadeabceadbcdadaaaeacdecdaabbcedbbddebebdbacaeaeeacabecedeeeeabebddbcccaddeebadeddeabbeacbbadceaeadbabbebebdcabbbadcebdaeabcedbdddccddcdeadddedcacdaeaeeecabbdbbbecaaabbcbcdccceaddacdaedcbbcdbbaaaceaaceeecbadcaceeebeaddceeeecaedcbcadcaeaebeaaeeedaaadbdadcaaacbcbbadaaddddacadaedeebeacebebacbccacaccbdcceaadadbeedeedcbccbaedbdcabeedebbbeaebdadddcccbbbceeabbbdadaaecedaceeecaabcdcdbccaeacbdedaadaeecbebcbddceabecaecaaacbaadabdebaddcaacbaebaacabaddaedddacbcaaeceedbacededeaaaceeaaebedbabbddcbaeacabaacbdabbcddccddcbbdcbcecccdaebaeebcbadeecbaeadcaccbcdcbccbceccacdbaaaadaaedcbbaaecbbdbaabbcdaadcbeebacbdaecddaddaebabbedcbaccebbdecbbdbdecbcbabcebdbbacaeeeeedecbadbbdeecceaceabacdbbeddaeeedccebcabbcdbdeeeedeebceeabeaebccaaadbacadbaabbbeaecbcbcdbeabedaadddedcaedbaedeecccecdabbeeadcebeeddbebcccddbdedadedbddadadaccecccaabbaaaeceadbaacdbebbcadaeddebceebcbedecdebceddcabbaeacccaadeaedaeaddbbcccbbeddabcadabacaeeaeeeedebdcaebaccaaeddeeccecceeceaebbacbeecdbdddcccbdecbcdabddccababdcdeaadeebadadacdcebdaeacedbdedaedddabbbdbeeebdacceababcbbacbbdaeaacdededaedbacdccceabeebabdcdeceecacebceebdbbbdaebaebcccbbabededddeddbddbaccecdeedbcbedabdaedceacdbdaeebecdaaacbedaaecacaacdbeedadadbbdcaccadaeaccedaeeadabeeabcdcbbbcdabeaabdddeccccecdbebcdcabecddebeacebedebdadddcacbecededecddcbaebaceececeddecebedaabdadbebdbebcbeebbdccdadbebecabadebbadeaadedecabeddabaacceecaceaccdadbebaacaacedaaaacdabbbecddcaccecddddbbaaaeeadaeeababbedceaaeaaddeaaadbbbebbdebdeccebcecabeabbcedacebaaaeaaabcaadccdcebdcdedcbcedbdebededcbccbcdbbeaaeceabdcbadeeddebdbecaacdeccbcdbaeddecbcedbdcbecebdddeabcddcecebbbbadadabdcdcdacccdedadebbeaadbacdebbcedcddccdabedcbbbddbdccaaaebeaebceadeaeacbbcebadadbcdeedeebcddaccccebebcbbcceaabecbbadacdeecdacbaebacbedeadddececaeccbddaeebaaabcedecbbadebaeadbbccadeadceaadbceddcbddbedebabbaceabdcbaccdaebaadcdbdaecaedededeeadccddbabedbadbbdebcbcedeabdaaaaabbcbcdaeaacedbceeceeabeeeaabbbaaedeaecddcdceedaaebcebddcbbbccdcdceeecacecadcaaddbadcccbabcacccdecceeeacdcbedbaeaeeedebdbdeabecabdcdddebdaaddbcedbdbcbdaccaaabeccacccbebceaaebabcabbeeeaccbbdcddebedeabbebbcabdacdcbdbbdcabcabbedbdaecdceddcbeaeddccaeabceabaedeadcbbccabcacdadaadcaebaceaedecebabebbddecedddacbdbddadcdaadcaadebcdbbceccdbaadeeebccaeccaeeedacaeddeedaacaadbaaddccdedaeeacddcbcadbaeeadabcbbdbceeecdaedcbdecaceaaeeaebbdebececaebbcadeaddadebeadaecbcbedceedbadeaadcecaeaabadcbcdeabdbeaaeceedbaaecbbdacababdddbdcdddaaeabaddeedacbdaccdaecaeadcedaeebeedddbaabbaacdaeeadacccaaaebbcdaeabccaddccdadaadddceedbddeedadeebeedbcbdeeadceeebebbabeaeccadccbebbbcaeaeabdedbecebbeacedcaeeedbaaedcebcecedadeaebacdbdbdbbaccaebbabdbaecbbddeeebcdcbbddaddccbcdcadbcebbdbacdcbdcabdadaccebcbdbdddcadeebeaacbeeadbbdaeeeaaaabaccdbbdabdbdeeacbbecddcdaaecccebacedcdaaecddaccaadcdbadcdadaeebceccbebbbbbbaceaebdaaacdbdcaccacbdaedcdeadebdbebebdbbccebaebdbccadaebbedbbacecccbbecebccbccccbacccccaaabaabedaadbddaebbbcedbaeacedcdbceecceaaddaebeadaebbededaaeeaaaabeabbddecdadddbacbdecabeaeeadaaabbddcbecedcdadbbaddaabceaeceeacdaeabdccccceeaeecdebeaddaceabbebeabdbdeadecbeeeacaececaeccdededcbeeebaecdaaacbcdedacbcdbdcabccdecaebabeeccbdedabadbadeabaeebeabacdebdcceeacdacabcbbaaedcacdadedbdcabdebacbaeccceeadacabbbdcadbedecdcdaaaeceddadadcdcdcbabaedeecaababceadcadebaecbdadbabcbcececdddbbcdadceaacaadcdababaadabddbaaedcbacdcececadbcbbebdebebbbbbdeceabaadcebacbacdbeeccdbebeaddacddeaeadbcaddecbdcebcbaebbcedcdccbabceaebcbdcbcaeadebdedbeeaabaacaabdecbeecebdabaecebccadbcddbdedadbecacbebddabecececdcbecbbbcddceaacdcedbcccacbbeceeddcbdeaecceacccacadeedcddcdccdcebabadeadeedcecdceeaedbadabdadcedeeabaeddcebeecccdeaaeeeaacccecaddeadeabbdebeebbeeddacaceecabbaacceacabcdddbdcedbbabadbedbeaededbaadaaeeececcaaacddbbeecceaaabcbbdaebabdcdcceeeabdadebdeddeeebececaccdabeaeddceaecdedbeaecdcddbdcdaadadabdabbebdbddacedbaeedeceabddccebdabcbcdeaccebccdebeccdeaacebcdbbdedccbbdcbeeabbebddacbbcddedeaaaabecadbebabbeaeeecadaeecbbdaabccdcaaeedbaadbdeaeddbdebcedbbedbbaebbbbbcaebebcaaaadebcbcadbaebbacabeeaacaaddbddacaddaabababecdcdcbcacccbaddbadddddbeaabcbdcbddbbbeaeceddaeadbeccddbbbecaddabddcbdaeaaadadbbdadcaeacaceebdccacddbdbbcecccaddbaceadeeebcacdadecaedeaebdadbdedbdcabdbecdebaaddaeddbecdaeaecacdcbbbcbcdedbddabbbedecccacaccccbcddcdeadbadabebbddecbbdeecebdddbcdebaaedeacdccabcacdbddaaadbdcbaddeedcbdbedeebdeeabacabadbbcaadecbbcbeeeecedcbaecdaeeabbdacebdbcdabdaacbeebbcdacedbcbcdabcedbccedeaaecbeebcaddaabdaaddeccaceecccebcaaabbdbbabbcecccabedecbcbdceabddaddbdbbadaeadbdbcbaacaaaeaeddeeeeeeccadbadcbeaaeedbcdacadabbeeeeecacdaeedebbbdedeccaecdacbbdedcbdeadaaccdedcbedcadbbdeddabdabdbbecbccdaccebdaeadeccdcaccccedbbeccebbdbcabcdddebbcbaaecadacaeeccbdeeddcdeedaedbadbdbedcadeacbcbcbddeeacdacbbdeaedbbeedadceeabbdabdbeddeacdeebaedebacbdebeacccceadaadaedbeddcbeaadcbaaddeabeeecddeaaddeaecdaaddbceccedcdccdbabdaabcadedebcddaacdeacadddccadecbcabcaebcaaeaacaccbddaabeacccabdceeaceeccadabdceaaecdcabdbdbeccadccaedcbbdebbebedaaabedecacdaaaeceaeecbdcdeadbebdbebaeaabbadbbbaeccdeecbbadbbadcbeebcbeaaedcdaadccedccbdbdbdeddcbcaadebcbdbbedadcdaacbaaadeedcdacacbabbbbbbaddbeceedacaaddeeebcabdadcbacecdddadeadbcddbcacbeccddecdccdcbacaeabdadcbebeacceaecaedceccbcccbeaabedacbcacbdbbdcaecbeeadddabadbbdcbabacaccbebaebdccebcdabcbbaabdedcdedcadacaadaaacccabecacbbdbebacadbcbadbedecbaeaebaaabdabceabaaacceaaeaaceaaccedeeaabcbdabaacbaddacbbeecedacecededebacaeceaaaeddbcdecdaaabdacdbdcbdeacaacbdeedcddbdbbaeaaaaaadaedcddabaadecdeecccbecacbdedbecdaababdddaebbbecadacaaceadcecadadcbadeecbebaaecabdbeaacdcecaeecebdcddcbdacdeeadbbbdababadbdcdccadbbcccbcaaabaccccdbcbbdecdaaeddbebaaaadcbebccecbbddddcdcccbdddbcbedcabaebbccbcbbcbcaebbdadaacdcdcdcadccaaeeaeecedadaadceeaeabcdcedbcbadbadeadadededeaaddbedceaccdbcededeeedbcaadaebadebedcecdedbcddcaecacabccbcbdaedcdbdadeccbdbcacbecadacaceaddeddcedecddababdaeedacecccbdbaaaabbdeacdbcacbdeeaaacacaceccbcdbdaadccabbadeabaeeccbddbceececbccccceecbddbececadcaabbccaacdcdaedabbeaddcbcebbbaacbaababebaeceeacbadcedeabceeddbcacdedbeebacebaadbbbadbdadcbabdbaebeaadababdddaaacaaeeddabdaddcdebacceddeedcbeacacedbeddeeccacccabcecccedbacacbaebdaaedbedbadabbeceadaeabaebbcececccadcecdcbddcabadddaccbaacbbacccdbcabbdcabbbbbdebecbceaeabbdcceeaddceadabbebcccdedaacddbacdaacbcddaaebceddcdcebdeddccccbdbccbedeaedaadccbbeccceeacabcdbdadcaacbdebadeadaedaeedcbacdebdbccdeedebabcaeeeabdceddcaeedbeaecabeccaacebcaaeaaccbcdcbedbbecbeccddcdebcadbaacdeeeeeebdcdaddaddaaacdbbedcecabbabbeebecaededbaccdbceccebacbbbcccaaceeacadadbeeebddadaedaddddbcaaecddbcddedbedccacceecdccaeceaaeaeceecaaccaebacdebbecdbbbadbcccecbdaecaeabccaadeaaaacddeedeeddaaadbaebeebaadbcbcebabaccceccebadebdbbdaeaeadadbbbbedadeaadbacdceddecbbbcbcebcbbebadbedaedebbdacebcdaeeebdcdcbdbdbbebedccbcdeeaddaadedccebbeeebbbabcaaedaccaccccdcabeaeecdcaeeacdddcaeeecaccecabcceeaacdcdeaedcbbcceddcbabeeeddbaeebaccbdbdeadbdbeeadaacabcebabacacadbcbdbedbecdaabacddeadcaceebababdddedddaaedebaacaacdddddadeedcedbdaebbbacbbbedacdcaecdadcaecacbabeeeecbeddabdaebbcadaaedadeedaabbdcbeabcbbaedddcbbccdaabdaeaeacdcabecdabdaebbdaecebecbaedaababdccddeeacbeeadecdadbcaeabdebdedcaedcbcdbdeecbdeddcebcbaebeeedbbabbbebeecdeeaceedcaecebcdbdaadcdddbaebbbeeaccceccdeacadcbceccbcaaebcecaeabcbabcbeabaeeeeadaecddaeebcecceeebaaaabaeadcdaccceaeccdcbbccccaceddadbaddaecdccdddabadcdeeececbaedecaeabcceacabdbdbcbbecbdecdadbddebeacecdbcdaceaedccddcabedbdceaaceddbcdebccaccbcdcccbbcbaacdebaceadcacbdeadcdbdbbdeadeddaadadbebecbacceecbdaceeeecbcdddbccbbdcaaaadbeceedeeecbabbdbbbcabeecaacbabbbadededdaccccbddcbbeebbbcbecceedebaaddadedbaecddaeadcdcadbdcbadeccbcdebeeacadbeaceaeaedcabdccedddcbccadeeadcbeeabdceedebcedacdaaebebebcacceedeecdeddaaaeabebddcecdecdebdcaabbcebaeaddeaadeadaaaeabcbeedecaeeecdebbccadeeaaebeadcdadbaebeeebaecbbaabbaaaddadaeccaaaedcaaedabcabaabccabecebaddccadaebdbebadecddcebcedacdababdadbaaddceaebbdcabcaadaedcacabecbebacaccdeeaceaaeddcebabdbcaeceedbddaceddbcdbcdbeabecaeaceacebbccedbeeedecdcaaceccabdecadbaeddccdeacbdbaaacbacacdbacdcabaddbbaeddeebbaeddbecceaeabbdeaedaeedbbdcabdeccacebdccadceecabaecabcebbdcbbbeadbabbaabeacdacadeebecbaededcecbcccbabdcdcdeacedaebbceaedabbddacbcbbccddbbeaabaaaaebceadbaabdcaebabdaeaddbeecccdacaebdcadcabdcabaadcebddabaeebcbeecaebbccbeccceebdcbedadceaacecacaecaabdcdadccbbcbcbcabecedbdbdaebdacdedbbbaeacabdcbcbeddbadbcdbdaeddccebbedbeacacccdaeddedceccabbddcbeaecbdbedbdcdcbddeeeeecccbadbdbbbcaeccbecebeeebebbcbcacdbeacebbeadedabcedebccedeaabdbeaddedeabadacddaddcecbbbecaabedcdeaeddaebceadbddbcbdacbadbddebebadccbbeedddbaeabbdacbdabbedeabecdadbbbbddacaeeadbcbbdaabcaededbdddcbbceaacadbbcebbaaabcbeccdceddbeadbadbadbecacacbccbbcaacedabcdbeadcbcaccaaebededdeacccdccbeeebaabeacdaaadcbbeaeaeaeccabdddabedacaccaddbcdabcbdadedaeeeebcddbbeccdddbbdceeacadadabaddcbeecebaeeedbcacebeecdeccddabdcecabbdceadcaebdbabadccabedcceceabedcdbddbebdddbbeeaacceaedddcbeddbcbedecccdcbddddbcdaddabccbdbbbbdabadebbbaeedbddbbbbababbabbabcabdddbcbbdaddeadaebcacdbdbdaebadececacbbeacabcebbccaeccdcdbcacdaaceebbbeecddbadddabcbededcccbecaceaabccecaeccabbabacddebbedababdccdaebabebbccabacacdbdbbaeeedcddabeeaadeaadeededabcdaaceccbbddbeabbddddcbdddaeaeeeaccecccbdeaebcccadadebcedcdddbdaaadadccaaabddbcdadaedcaebbacecacddcecdbcacbdabcceedabdaecaabeddddaccdeaadaeebaacedeaacdabcceeedbaccadbeccbcceaeeedaebcabbebdbbeebabaaaaecacccbebdaebccacbbadacebabaeabebebceebbadedaecacedeeeedbbabbebdbcbecccabccebcdbaababbccaaceaeabdbcbdecdeedaccacedbaebdedbcdeeedccbeabceeeaaaaaceaccaaaaaaedbebbedcaaeecaccaeaebbbebbbaaedeadaddabbeddaabceeddeccdabaaaeecdadacddeebdacddbebadbedcdbcebdccbcebdccadabdecdaebacabadcacdbeeadcebbbeaaaeabcdabeceeebdeddacbccdabbacccdbaececdedcddbdeceeeaeaebacedddeecbaebdeceebbaccceaacceebbbcdcbeccceccbabbacabedeaedaacdabbeccaedbebdbedeceadaaabedddeddccddacecaebaeebabedeedabdeccdebbbbbdcbbcadccacccecdcbcddcbedaddcaeaedbbcabbaadabbbeeaecebeccbeceddeabcbceaaabbbbcaeaacbcecbacadebadeebdbccabebebabaacaecaccecdeeedbdaebdbedeabccecbbdbbdbbedcacdeeccacaebaebcbebedeedceaacdbcdaaddbbbcbbedaebcbcbdbadacccacccdabbdbceebceabeedcecccecccbaceebeeeecbcaddacccebababdeabbeecbebdadbcabebdbbecadbccaabccccecaaeabebeeeadbbdcbddaaaccbeddbaaaaedddeaaddeecbbbcbacdbccacdcdddcdddccceaeaaeaeabedabaabbccdecceeeecdaaddccedeedaccdacbaabaabcbcaeddeaeceebddbbebaadceddedddeceaebcccbbaccbceacdbcabbaeeadaddeeccceebaceccdaccdeacbaceeebaaaaaddaeadeeebdbdbdbbeebdbdabebbcceccacaacdecddbddcdacabcceeadabedbebcadbaddcaceeddcdeeceedaaaddeadcaecbeaadbcbddbeceeeadcbadcaecbdeacebaedbeaebcaabceeeeecabcdbadacebccbacbeaabbacebaeaeeeccaceddcecabbedbdccddbdaabbdcaeaaebbedadaaaaddcccdebbabdeeaadcabebddaeeabeeecdbeecedbaddccaeacceaeeaaabaeebcacaaebeeadebebeedcbccdceddbaaeadaceaaaebdcabbdbabdbdbcdbaeadcbbdadcecddccbaeddebdaebccaeacdaddcdaecaadadddabecdceadcbeceacdceabccebedaaddabbcdddadbcbbdcadabbaadcbeccdbecbcbeddbaaadbaaebaabdbccbceeeabecbedebbeaabccacdebecddcddcbbcecebedeeddcbccbdecebbeddbcbdaabecbdacddcdbeccdabdcbbaadacccceebedeaedceecaaedddbdbddbecedddeaedceccdbebedbdaedbbcaabeecdedcacadbdecdbdabcebeebeceadcaadbdaadcbcacabecdaecbbcebbeceeebbaadeadecbdeeadecceaaeceaeedeceebadaddcddcbeabadcbaddabacadeacbaabeecdbceeacbeaaeadacdebebcbbcccbdccecebeedcdeeabdabcbdceeaebaeccadcabcbbbebbbbbbaceccebcedcbabebbebdeaaaaaeabcebadeddabeddacebaddbbedaeeeaebbbceeeecebedccbbdbeccbacdacaeeedadddacbeecddccbaecbbeaaccaacbedabdadedbacadbacdacaeacedacccbdecbcceeceabcbbdcedcdebedceebdaccbadbaaebadaedcdaaacdcaaaeacbecdbecabedeccaceedaedddaacbacdcbaddaeeacaabaacddbccccbbbdaaedacecabddbeccadbcebaacdccdaaceceadecbdeecdddaeeaeeddaedaaddadbaaebbdadadbddcdcdecdacbceecbacadeecebeaaadeeddadedaaeaeaadcbecdcaaeddbbcbeabaccdedeecdecdaecdedddcdedbecebdecbaceceabcbcbdcccddaececccbcedaccbebeecbbbbebdaaccceebeecadeceeeceeeaeddaddbbdaaadcaacdceacbcdcccebddcbdabdbdbacbbcaecccdcdacaabbeabedddebbeaedcbebdbcbaeebeceaaeaceddcaeceaacaeabdcdacdeaaacaebccdebbaecdabebecaaaccabadcddbaeddcdaddaddcadeacaedaadcecdedacacedbbaababaeaebacebccdbcbbceaaeddbdaaddecdbdcdeadabacaeabbbdcecbcccbeaacacbddcedebeaecaddcebdabadddccebebcaaeeddeddeababbbceebdceabcedcebdebeaeacacadcaeadbeeebceeabdcadbeebedcbbbdabdbccbaecdceaeecddcabdeabcacdcdabcceaceddabcbabadaacddccdbabeddccebbbbaacdbcbccdeddccbcbeaeecdaacebbbcaecaeaadcdbebbbabebabbabeaebdedbbaacdbebabdbbcccbbbdcccacacaeebadabbddacddacdebdaddddddadcdeecbabdaddaecddcabbdebecacecbeacbacccecdedaaabedcddcbadebdadabdeaadaaedddcdbcbedbdbdaadcabcbcbddeebbdeaeadaebaccdedeeeadaebccbbcbdddadcacaadecbbdacebcbbcebceecdcdcbbcecaeccceddbeceddcdacebebdbcdccbaecbcbaebaedebebbbdddbbccaeeaddaeabdbeacbadacbabdeabbaeccaeaceacdeeeebeedeadcddaaecdbbbbeddddecddedcadeccbbbdaaabebeeabceebaabadaddaddebadaebddaacabdaaeeddadcacdbbeeeddbebcbececbcbadbeddbeaaaaeecbdcedabdbbeedbbdadbabcababdcbcbabcbcdceecddedcbcedccabedaeebbbeaaeeeecccbaaabddcdcedeaaecaacceaceeebabdbaddbeecaeadddbdaadbbbebdedcddeacdaaebbaeecbbdebbdbbeeebcdaabbbecdbcedbeadccdeceebeebdaeedceddedcadcbbececddddeacceeadbcbccbeceaacabccdcdeadacececbbadeeedcaaeaccaebcbcebcdcaaebcbaeddadbecbbddeccbcebcedacbdbdeeacdbddebceccaeaeeccacdbddceaeddaeacddbebadceabcdbbebabbdaaaddbeccdeeaccdcabaddeabeedaecaccddbdccccecaeabdabebcbebababbbacdcecdcbdecdebeeaceccadceadeaedabcabcbbcbeedeaaeeeaeaaecaebeacbdbcbbcbaaccdeededbbaecbceeebcaadbcbdeaebaececbaebdaeeaeaeaaddcaebecdcacaabbdedcdcbaabdceebdbcddcaaabdbacdcbaaaacabdabebdeceededbebbeadcbabcaabdbcadcccaedeeceeeccbccbdeadeedeecdbcedeebdadbccdbcdaaaaebceccebdcacbcdadbeeeaaddbebabccbededdebaebbdaeebaebecbcceddbbaaaeddbeaddeddeecbbcdcbbbdbbadedcbcecaadbaedaceaadcaeacbcccedacaadbacdddaaaabdeecebeaabcaebecdbccbacbcdaceaebccebcebcdcdcebbeadeedbcecdeecacececbeceeddaaabebbeecdceaedbdaacaabecdcbeceecaabcdebabcccbbcaaebdacbddaceecdddcbaaeceaebcdadeaeeecbceedadceceacceeaadeadeeecaaebeebebbaecacbceddeeaebbeacaacecbbebdedcddebadbbaddadbdbaabdecebdbdebccbddecbeadabecdbdeddccbaebbeaccabadbeabebadccebddceebaaddebcbeeadbacbeaebebdbcaeabaaeeedcbdbbaddebabeeaebecbdabecddadecdeddedcbabcbdaecabecdedeaeccbbccceacdabdceecdbeeeeaccdbebeeaeaebbabaacdddaaeceeeebecabbaceebabbccaaebceccabbcabcdedcbcceaedcdbedbdabaeccdcbcdbedbdecdbbbcacaddebddebadbdaceaaeaabaccadcddccacddebbcedbbcedcccdeaceddcacacdacdbdeebacebcbeaeebdebbcdebacdbccaddadbbeeccbeaaeadaedaadbdabdccbacececcaaacaabdccbbdcbecbceecbeadcbccbaddbbccddeabbeabccccecabdcaecaaedeacedccdeebabcccbddeccdaadddbdbaddadaddeadddaecdeceeabedaabeeecbbdecadaccbaadeaedbebcceacaabceadbbbbaaaedbbdcceeacbcaccedbaabcabddccdcecbaecaccadbcaeaacedbdadbabddadcecaeebdabeddaebcadeaaaeddecabedbcbdaceecbeadeddbcaeeeaaaacbdebdeeccbacccabbddedeaecddbaabbaadbadcdeabebbedeceadecbceddbbdececaeabbaaadeebcbedeeeddaebebadcddeabbacaeaaaabaeadababeadeccecbacebccdbabcadccbdbbaacaabaaeabcebacababdaaacddacdabbccccebeaacddbcdbecddabbdacaebabacddcacdecdcbabdceadbdeddacbccadcbebbddeadbdaccdceeaadbbbcbddbbeeebdedcdcdadeceaaadacdcbecbbaaccaaabacbaacedabbdaeaddcbcccecebbcaedabeaccdcccdabcaeaccbdccedadeccbbdececceabccbadcdbaeeceddbececaeddedcabedaeecddccbecaeabbccedeeedbdadcbeaedbaadccbeeacebebadeabcbebcadcedaecaeacedabcbdcbceddcccdaaebabecebeadedbcaaceabdcebdeecadeceedcaceeddcbdecdceeeebceadedbedaeadabddaaaeebeacdadbadbeecdbdeebeacebbabbcecdcabccecbbbdeededaeadcccbbebbcbbbeadbceedabdebbeacaceecceaedadebbeacacbddeeeddcaeebdbbebaebaadbdbedbbbdddaceaceadabeaceeacddecbccbccbcbcecdababeacdcbaccddbdaacaaeacbaebdaadcabadabecabdaaabcedaaabdeddbbeddbacddcabbcdceeccdcdcceacbdccdedecccaacbaecbecdecabbdadadbaebcdacccdededcddabbbcbdcdcbbecdbbebbacddacecebedadddececacedacdcbbdedecbbeabceecdacaeddaeceddcadbcdcabbccbecabeeadaaaedebcddbabcdeecacecebdceedccabceeceebeddeddabaceeabaadbbcbcadaedbcadacdaecedebcccdbdbcccecccdcdcaaabdabdaabadeeaaaaeaabbdadbaeeccddecbbbebceedbbbaaabdaddabdbdacddcaaedbaacbaeeeeaeecadaddabedebbcccecbbcbabdbdeddedacadccdadbaacacbbddedbaebedeecceabebdabdebcbbccdcbcdacbceddbebdeaeddadaacbababdccaeeedddceccbaccbbabadaddceedeaacbdeccceabecdeccdbeecccdcccddeadcdeadceeeaceeadaeecbdadcecbaedcebdeadaabbbecedecbaaedbdedbacbbcaccaaebebadabaaedebbadabebeaceedaebcedbeddcedcebbecbedbdaacbbdaddeebaeaebcdeaeaedbeebbcbcacddebddcabcaaaeecadadacebcdccdcacccadbaebcbcddbcddbebeeaeecdeccadecccdedebbbaccdeeaaeeaccbbbcebbbdbabeaddaadaaabddabceaeeaedacccdbebdbaeeeebddaaddcababcbcadcbacceddeadebbddcedbddedcabcbddcdcbabdcecdeeebcaeaaacbecacdabdbdabadcedcdccbaebeceacedaaedbcdacececdbcbdacbdaedccabddbdeddabcdcdbbaaceabbeecbedceccdbcdbbdedaacdabbbdeacebbddebbbbcebecadeeeebabccbbccbcbdeaecbeaabaaedebeeccaeebdbdcebcabdbdaadeddaddcbaaebcebadcdedcabaecbeaaabaeaaeebbcadcecebbbbcbdceddbaaddcdcdbaadaecdbcacbcabbcccedddedabdacaeecdcebdccdaceceeaddcbcbaadddcdcbddaddbeeeabacccdaacadeebceeadaccbbdacaddbcecbabeeaaeeeaeebadbbeccbcbacbbdbebadabccbdedbdabddbdddaccccbeaadcaeecebeddaeebedcabbecabcdcdbcdcabdacbababecabccaedbbaaeeadbebcdddcdbababdbaebddacbccedacbacabbdabaedeaaaeaaeaaadabcdcdbbcebcebcadcdbdadbabeacddeeeaebbbbddeccaabaeaaaaeddcabcccdcdaaceadaaacccddcbaedcaaacabeaeeedbaaaaaaaaecbecadeedccbcaedbcdbcdbaccacbdcaeeddbeaeeececadaecadedeceaccdebbecbedececaaceaaccdeddaabcacbeeeacaeddbaddcadcdcbdaeecbdeeebeacaacbddecebdcdbdbbadbcbdcaaadcaadbebdaccbccaadabcbbdbacaacabcaceadbdccbeabdebaccdbbeddceddceeeaeaeebdecebbbcdceebecdecaaecaeebdbabbcddcbcbadcceceedebaecdbbdabbcbeababaabbaecabdebcbadabeacadcdbbabbbabcebecdccbdaeacacaeecdbcecebbabadeadacdeceeaedeabedcdcccaebbcceaaabadceeccadecaedadecbaceaadcdceebcadeddabadcebbcacddcaabdcbddededcaaacbadcabadbcacbbeeeaddddebabbaaecbeaeadccaaaadbdceacbceeccdabadcadcbddcabeaeaceaeeebdcddadcceecadcebbdaccabcedabbeaccebcdbbdbdaedcadddeeccbdaedcdbacdaadbcabeedeabacebecbedbadccedadcccadabbdecdecbdadbebedcdcbaccaaccbdbebaedeccacedcdbbdeeaedbababcaedcaceaadebdebbabeaebbeaeaeadaebebbbdecabaebdaadbdabbbccebbbeecdcaaeececdaeacebbcddacdebdcaeaeceaddbccdabeecbaecdceaeaacaacceeabdaeeebabaadecccacadadedbdcaddadbbecedaabecbeaddceacbbeabeaccdebbbcedbeecebccceadebbbbecdcebdbdbabaaceddacbbccdbdeeecbddbbaceccaeeedaadeabecbebbbacbecbdbacbebcbabbedbcaabcbaeeedeaebeccaadbaaeeecccdbbdabeedeaebadeceacbeabcaaeeddeaaaaeccdbaeddcabbdcbebedccbdacbdbdebeebedcabebdecabcaceedaadadaeaeebebebbcacebadcadaaeadacadcbdbecbbabdaaedaeeadabdaccdaceaabacbbcbdbebaeecbbdceddecedaccaadacaebbbcaadcbadabbadccacbbadaeecbbcbdabadccdbadacdeeeaceadbdbbeebbbaeeadeaeeeecbcbbdebeaaaeacceaecadcdcdeebabcbeddbacaaaaacdeababdadcbadcadbcadacbdbecbbcddbdebaebbaaeddeddabbeeeecbecdccedcbdbdbbcebededbdcedbebcbcacaadecedecdbabdaebbedcdaecabcdacebbbaceaeedbacddbeeceaabcdbcebccbadebcbebbbcbecbcaacbeecdaaaeddbddbeadebedecccaaeabcedccebaceecdcacabbadbbdcdabacacadbecbadcaedbbabdacecacdeccbaebdccdadadaaeccdddabeacedbadaebbcebdbaedaeaceedbbcdccedcbdccacdadeceddbcabedcebadeaebbcbbbeacecaedcdbdcabdaecdaabcddbccecbeeebdaebcbababdcadaaecebaaddbdeaaeecdeacbaabaacabaaaadaeabadeeebccccaddaaddbeeeeabccdcbddaceaeabecadaadadabedcdcdedbcaeeddeeabdbabddadbbabbdebbbccebdddeaaacedabeacadeeaeceaaacabdbaaabbedbddbeadaabdacbcbecbecabdbdbcaadccdabadecbcecdceaedceeebedeebebbbadacaeceebebdbdbecbcdcacdecbcdbecbecdebaddaecdecedebaedbdccaddadedccecbdeeaeceeedebdedebbdcceabaaedcbcdcbeaabdebcdebeacddacbdbddbeccccccacacdccbaacacbecccccbcdcdeeabcacecdcebbdceaadbabaeddcbcddccddbeaeabbbbaebecbcaccbbdbdcecbeddaeceeacaedcabdaecdacabcddebcdeaacbdecadddbdbddcceadadccdcecdcebaabeeddbddcebeaeebbaaeceaaaeedadeddcacceeedbabcadaacdecaeaaabdbaedbbdeceaeedaaadccbaabeddedcbaccecdbcabedaadaddddecdaaedabcbeabbebcadebbdcbdeedadecacbcedbdeaeccccbebaedcadacebccebcbedecbdcacdbadaeaebbdbbdacabedcbdedacbddceaecacdcdedacccbebdceaaddeaecbbaaecbebdebcbeeedddbebbabbdbcebaaccbcaeaaeaacdbeadaccddaaebedddebadacbbcdcaabcbbedbdaadebaeabbbbdcbdaadadaccecdddcbebbcddccaecbdeaabbaebbcadaaadbbbbebdbbdcbcbddaceedbedececeeabababebbebbaeabcaaecbcdcabbabbadbeabcacbaaebdececddaccabceebaecdeaecddbedcbcdbcbecbeddaadbddcaeaeeacdeeccbdbcbacaaccdbecdabcbcadaedecadcdcdcdadadeacecdedbcceeebdebebdecceecaddbcceddedbbaadaeabeedeeaebdabbeeabdebabbadabceeecbcbbdcbaccbcbaddaeecedebddbadeedcdbdacaeeabbddddbcbdbbecaccbadaeebdedbbecbbcdacdeabdcbbacbbdbeadbcdbecbacdedacaabebdaceadcdaadedaecedaecbeeacebaceabebdedeecacdbeadddbabbeaebadbbabbccabccdcadebcaccbabedeaaacceaacdddedeecdddddadbeacdbeeeecbebcabcdacccddbbbcedebbccbedabaebbdbaedacccadebbabccebdeebbdeabdadbdaeebbbbebbbcceacddbbbdaeeceddaabaeeeddacbaecdcacacbebbaecdaeaccdabbbbabacedcedeedabdadcbcccacaaebadadbbbdbbeedddcdcbeaccbaeceeaeecddcceacaaeaadceecabdaebcbaddeebddcecbadedeebadaadaebcadbcbbaabacabaddddecbcaebdbceeceabedecaebddbecacceacbdaeeaadddacbeacdbecaccaeebaebdbdccaeaccbccbaeeaeddeaeaeecaeecdaeabbcdaebdaebcadaebbcceabebbeaebdabdecacacecdbadedaeacdeeaedbaaebbecbddebbecabdeacdaaddcadaacdbbbbcabcbeddaeddeaecbeedaeedcabdbadaccdcccdbbbdabbeeccdaeadeccaedcbeabbabbceadbddbcdcbaceabbddacaecbcddabccebadaedbeecbaeceeaaabaaceeedbbecdacbbbaadcebcdccdbcceacddcccabcaaceacceedcbdcdedeebaeaacddeceebadaabeacbbeeeebaeceddcdcedbceebcaabccabbcbebdbaedbcddcdddbbeaadaaaabdbdaaebeaaadadbebdbcbadacbabdaadedeaeaabedacaeebeabceccddadabdabddaddbaccabcbbbbecebccbebcbabcbadcedcdaeeeedacbebaeaddadbbabbbbdddaaacaeebeabcddcedeedcacaadbbbcedddcbbabdacdaaeaddbabddeacadbdddceebbedcbdebeabcbdbddedaeaeadcedbbbbacbabaeaecdabcccdbbebedcecaddeccdbdbecaedcaebebcaeeacdbcbdbabdcabbdcdeeceeebeddabddbeadcbceeeaedeecbaaadebcbceeebbedbecdebedaecedcdeddddceabeaceadbedeecbceebecebabdaebbcdecbdbaaacccccebceaaeaecbecadceccceddadbdeadabbadddbaddadcbaabdcbcdcdadbddebababeebadecddabeceebccedccdcaedaabbcaddacabbcaeaecdbebbebdcebbddbbbbdcdeeacedabaceaeecdcabbbcbaaddceaeebccadccdaaebaaebbdededdabbdccddeabaebacbddcaaaededbbeecbeeecbebcbbedeacdbeecdeeaceacdacaceadecbbcdcdbaebceacabaadcaceeabbaeedcaeedaadceabadbeaecbdbbdaeeaccbcacacdcddeaaeeedcbceecbdedaebbbccccccabcadbbdebceeddaaabcbdabccdacaaddbbbbaaecbceaeacedbcbacadcacedbdbddecedeebeacacabebbebdbdebaaddeebddeaddedbeceebcedcaabccedbdbdaaebadedeacddbdaaebacadcbdabbaaaccabceeaeeaececcdaaeadeaabcecdeaadaebbcacabcceeeacecbdccbdacadebbdabeedbdcebbebaabadcbdeedecacabaaedabaeaaeadaddbbcebdacdbeeabcdcdbacabcceeacadbeedebbebccdecbbebcbdbaebbaeccddbbdcdcecabedcbcaccbacdbecbcccabddacbadebedcdcbbceebabeacbcaaacaabcaccddcaeecdabdcababaaacdccebdabebbbcbdbeeccddbaebddbbecadbbaaedeaecdecaeaabaebdaaccaaeddaabebabcbedcceabadeeecccbedecbccdccbcecbbdcecabecddbbeceecaebeeeecbddaabdbcbadcbbccececaaebcecbadeedaedebeecacecabaaacbacbccbeddcbbedeeddebaebceecacddeacbbdcccdbdcedebdeceeecbbeadbcdbdddeacbbbcddbbdaeadebbbecadcdabeaeddcdeebaeeaacdaebdabdbbdecabeaeaccbcadabcaabdaadacbcebabbdacecaeedecbacaddcedaedaacabbbbabdcdccdebcbedbdecdabecedddeecbcaaccddabbebbdaaccabccebabebccecdaabbbcebcadcaddceacecbedaadcecedacbabebcbabbdbebaaedeadaeacaddabbbebcdbaaedabcaadceecbadcceebdeeeebecadbaecdccecbadbecbeaacdaddadbdddcbdbadcebcebacbbeaabdacbbccbbbdbebcdbbddbcbbbebcdabeacabddeeaaedceabaeaaaaaeebcdaeaaaebabdabbcdbcddbeeeeabaadaeadbcbacdececdaceabbdddedbacbeaeaeebaccebbebbbcdabbdeaacbdbcdaebcdceedbcdcaddddacddcebbdadcbbddacdcebdcaddeaeececedabdaabbbcadbcadcdedbedbebedcddbdcdeecccbcbabdecedcceccaaeedabdceaceeaccaadaacceedddccaabddacaeacadececdacabdeabccdbceeebbbebeaecdbbedbdbaeacdbcdcebedabbededecdcebcdaeaedbabcbaecedceccdcedbadabbdcadadcdeabddbaccecaeebabeccdbaeaeebeebacbdaecbcdedbbbaeebadcababcedcabecacdabacddcecebebbdadddbaadeabbcabbaedabbcbdacbccecbbdcebddeeceaabadddaccebacbaacecddeabcbbbabecbecaabedceeedbeedddbebedbbabaccccecdaabceedbecbeadbedaeacdbcdaabccbdcdcdcccabaabdeebbbbbdebdaeaccbbacaccdbbbcdcbdbdbdebbaeedcaccbaedacacdedbebeeacaccedecdeebacadbddceabdddddcaecebbbecbbcabacbcdcdceacdeaebbcaecbdcbecdccaacaedbedeacbacdcabecacccbbdceadcecbaddbddeebdcadeaaaedcaebbdcbbcedbceaadeccececdeadcbadcbbedeeccaeaeecddcbebaedacbabaadebbaeaeddbebeebccaabecbddddbbecccdedbbacdebdcddbaddcadeddecebdcddcaeecbbecddbddcadcbaecacdedabdaaecceecdacccbdabceaacbcdedbccaaddcebebbdacbeddeaaedabebdadbccaadecbdcdbecdeacdebddbdbdedaabcdbceebccdeebbbacbcedbbedabcbcddbccbbbcccebaecebbaaeaadedeabdadeababdebcebdeabecaaadadbcacaddecbadedddadcabbcdcedacabdecebcdaaabccbcdaeacbcacbcbcaacdeeccaedaaacdeebcddbcddeedadcdcaddedcadcaaeaeadecaccbeaeadbcdadaabccddabddcdbcdbababaaaacdcceeedbaddcedbcdddbbdbadcccaaaabdbdecbabdeacbcebeaaceabaeabbdbdbecdcacbabeadcbaddcecccababbeeaeecacbabcebdbdcadaedbcbbceacccbbceadbcdbddebcdeecdadecdedcdedebddcbebebadeaddcebcaebaaebabcadcbcbaabeacebdbdadbdadcaaadcabedaeecbeadeedacdbbdbdbcbbcebbdeeacabebbaabddeebadaabadddbededdbebcbcadabebdaeaadeebcebecdaeaebbdbceadabebdbabbbaeceeddaadddcbbdbeeaaabcdbedaeeeabcdcbedcecebccecaeebcbdcdecaecaddbadeaeeccdebacaceeaceceedbcedddcabadcbdedaaccbaedbbccebeabbebbbaebdaeeeedaeedcbbddcccbcddebcdddbaecaecbdbbdedeeeeeaceecdbbdbdcebeebdccbdedbacecbdcddcbcddcaebceebcceecabbaadebcbcdcdecbadebcddacccebbceacadeeddccadeaedbaabeaeebddbddbbeaecaadeebbcabeabbeadeceabcadbddcbcdbcccdcadeacedcbbcabbaabddebeaadbedadadccacabadeceaeebabbceacddbbaaaadddccaabbdeddbdbdbceddceaeedaebabdacdaaaedcaceaaeeccababbaababaeacdbeaedbdaecddddaacbebabdceceacccaedeaeecbaaaedcdddabbeacdeeaedaddcdeabdccccecdbeebbecbcebcaadbdedeabdecedbcbccbaeeaaacddbdebccaedbeadadacbbeadeddebbeccbebbebdacdeaaaaaedcedcebacdeabbcdedbbdbabbcbceebabeccbdecaddadbbcbdbcbcadcecbaceeceaeadbecbdccbdceaddeebdbcbeaaceabdececaebdbbeacbdaabeaceebdabaebabccaaeaabceecdbccecaaadedcceddcddacdabdcadcaeeacecbeaddbacabcdeacdcbedcbadcbdbaeeaadebdceccebeeaedbeaaaabcbcadeaaabbbedabeedaadbbadaeabdbadbdbaedcbcebeaadaceaeccebaaaadbcdeacedebddcdcbeaedbadaabbdddacbcbddacdadddabdcbaadabbdbbcdaddacbecbadbaebcccabeebdaaedbcabeddecccadeccceaebdaccaeecebabbaeaebcddadeddeccdbbbddaeeaabcdcceaababdcbbcacbaddbecdeaebbbebddecaadcdebdbdbbbddabedaaeccedaedaecddbdbecacdcbeeeeabdcacdbeaacddcbebcacbcbcecccecceebdecbdcabaaeceedddaeeecdaabbaaabbbcbcaeacdbebeeaaaebddcebecddbbabebedcbbeebbdbbedcaeecbbbdaccdbbadebabdeaccebcccbddedadcadededaedcbeebeebeeaedbeccebebdeaebcaadedaddbcdbeaecbeaaabccdecaacaabdedebedcaabbddbcaeaeaadeddbdaaaadadbaecedceddadbabbededdecbebdbcdabcdbcdbebcdcadababdabaeecdacebcddbbcbcacdaddaeadccbbbeecabbdbdcbdacdddcbadaacdeedcadaedbdaddcdabaddbcabdcbdcbebbadcacadadaacbaaadaeeedbcdeaaabbbaedbacedbcaecaccdbebcbcbacbabcebbecadbddaccecbbcaedacccbaaaecdedbacacbbcdbaebbeabaebaacbecbcdddbabbeabceedeaeebadaabebebaaabeeaaacaddbdeaeabedccccdabcbdbabbacaccdbaaeeaccbcdbdeaeaeacadadbaaabdadacabacaabbadbcabbedcbbabaeeccddbaabcbdcacecdcbeddbbcbaeedbdbcdddccbccccbbcadcbdcbddbcdccdcbbdaabcecedcaecebbdececccddbbbaabbebdedeeacbbdeebcddabedccdabaadededabdedcdbbabbedbacabdecedbaccaedceadcdaddaaecbcccddcebedcebeddacedeaccdeaaeebedededaddacbcdeadbaedbbaadadacbddcebdbaeacaeeeccaeeccabbcdaacaaaeacdebecbcadcbcbdaccceddeeccdcddebaadabdcdcaaadddadbaedcacaaddeddbcbcebeddeaadabcdcaeabdbdbcedaabcdccdeacbccccebdebaeaceacdacdabcabababdeeccdabaebacdbbdcccbdbdabdabcbeacacdecbcbbabdbaaddcdedcebbdeceebaeaeaaaaaeacdeaeedbdacabaabedcbebdccadbbcebdedcdeecbdebecedccebddabdcaccddebaededabcdcbdbcaaceaeaddeebaabdedcaabacaddedbdadaedbaceaeeeedaeabddbaaedaeeaeccebebaaededcaedbebebceabdddedcebebbeacceccbdccccbdebcdaddaacdcbcaabbeccdaeeacedaaddaebeadeabdbdcbddeedeeaccdeadbbeeddeabcddaaeedebdadcdccdceaaeccacaabbadddebbacdcdaebebbeaceebaeeaadccbacbdcedeeebeddadbaecbcaedeabcaebcccdaaeecccaabacddbeeadabcbbebcdbdbdecbabaebbdaaadcdcccccebbadccadbaecdcacdeeccbbeeebcbaebbeceebeebccbdeaecbaeecabccedbcccceceedcebbacceadeeecceccedbcebaeecaadbddeaaaeabddedcdbbadcacaaddceaadbcebcccbaecbbebdaabebebcddbeeeaeabeeeedddecdbedddebeabaebdeeedabcbaadbcebdcdbacebbdedcbeebcbdbbeeedbbcabbbcbebaaecdeadabbbdabacaaacdbbaeebcbbddcaababdcdeccacbdaaacdeacbaeadcebccdbeecaeacbcbeccbbcebceabedbaaaecdaadecadecbbddbbdabaacbeceebbabeddcebebddddaedeaebddebcddccdacecccbcabbbaaeccddecbeacddbdceeeaaabaeebbbebaaeebecabaaacbcabdcaecccedbbaaaecaacbdbbeededebaeccebbebdaabcebbeaadbcabedcccebdcbbccbdecdddedbdcddbecbeaaedcbabaaeabbdeebdadbabbcdbceeebabddcceebdbdccbdabdcdecacedcbcecdeedbabcdbcbbdaacddbcbdccdacadacbabacdadcebbaadabaaedddebcaebebbddddbbdbdecdeeeeebeebbdeedaacceadbcdbaebaeadbcbaaecaaeaceeadcccdbabeabaebbcaeccdebaabacbcccabacddbcaecebeebcaecbabdacabeaeedbdddaebacbdbbdaecdbcdaadbdaddceccdeacdabbaecabeebaddcddccceecddaddbabeebeddabdacabedaecbedecbaddeeebcabccbadccaaceccdebcdceaaddaaddbbeeaeeeebcabebeabaacbadbabbebeedcaceaadabedcaabacddedbbabcdbbbeecabababaebceccaceebddeddbceaacedceceeecdaabcbacbbecbccacdddbbcdebeeccebecabbecabcaeaedcbeddedebbabdacadadccdaaddbcdecccaaeaeeeddacabcdecbededaacdeeecbbaecdbeeeeedabdeeddecceeaebacaaebdadacaddecadedabccbbcddbdadcaedbcebdbaebcaabedaacaeddbdcbcaabdecebbbacebdadbbeeabdcacbdcbcacdbcbbdcecdecccbabaabaedbddbcaeaabadcbcadebbedbacecbcadceccbedbeacaaeccaaccabcbdcabcaececbdbeeddbecabeedbadcecbadcacdbadcbcabcaaaedccebaecbbcedaaaabebbabbdcecedadaadabebaeadacedddaebdcbcbabdbbdccbcecdcbaeecbdadbeeaedcaddcdebaebeadbaeaceadecaadebeaacaaccabbaeccbacedaecacabdcdadadddbceaecedabebebcededadcbecebbbcbbdaecdcbbebcabeedadceeedccceddeaaadddeabbcabebdbbbcdacddbebaaedeeebeadbeaebeceeeaadcddadddcbaddcdabaaadacdaeaadbedeabcbaeeeaabebaadcdeaddbaeedaaccddcbedbaabeaccbbbcbdcabeccceedddcbecbdaaaabdeeadbbaddbcadaeabdddeecdaeddeaddabbdbcbecebaadbebabcddaabccabdcbebaeadababbcadcaeccddbbabbaddaebeabbcabececdcaebeadcdceceabaeedaddbcdbcddbaaadddaeeceaacdeabeecceceaccadceecadcabeabeacaeacacbeeccbddceeadbaccdceecbadcedecaebbcbedaeeecedacaeebcbbaeddccccabeaaccdcdcadecbeececaaecbabacacbbdcbceecedceebdecedbeedbbeadaeadecbbbbaacccebdbabcaaadaebbbdcebcdadedbeedcaebedbbdbbdeeedbcbabaecaabaccceaeaacbcecccaaccbdadeabbbabcaabcbaddaabcaaabaacdbedcddbdcebacedbadcdadbcccacbbcbbdbcaaaaddbaadeecceabaecadbddcaddedeababebcacbcecebadbdcdedccbacbbcaccbebcecaebaaedcacdbeeacaeddadbdbbcadcadcbccacdcaedbdacbbacbbecceabcacdbbcecadcdeebbdadbbdaeedcdeeaeeaaccabcceeebccaecdbbccecbaecaddbadddeeadbdedbbedeacaedacedeabaacddedadbdabeaadaeaebbaddddabdbbcbcecceeedcecdedeeceddcaeebdcdaeecbceecbdbacabdccecabeebeebbbeeeebeaaaeacaedecacbaaaebbcadcaccbedaacbdbcaabddbeaaeddccdabebedbeeaecdbedacbdadbddeebbbcaddbbeecdbacbbdeccbcaebdeaaebebbadcccebcbcbedbddaaadcaacddcaccccecdaeadeaeeebaaebdeeeecbdaedeeeadcbcebbcbbbbccadebbcbdabadaeabacceccaaeabbdbaecadbcdaeaeeeeaeeeeadebbcaedbeecdcdaaaccebaedabcadbdbecbcbacbabeecdcadbeccbacccbadcccbaabcecaabddbcccaeabdceceeabbcccdbaaaaebbdaabdbebaeeaaebeecbeddccaeacdcacceadddabdddbbdebccebdcacbccaebcccaebabacaaeccaaaacdbedccceadeceacdbedeeceaabecdeebeadbdadbcddecdcaebedbeccbbacaabcbbbaedeceacbabeaaddcccabeadaadddabddedbbedcedeeadbadcbaeecaacddcedcdbdbedbcccaaabeebeabeddbbdbaaaacebdceebeedabcdbbddeadaebaeceddcdaaeabcaebaecbadeebadaebeedccebcbbaaacbbbddacbddbccabbacbabbeeddaaacedebaedddbddbadecbcabdbbeebcebacebadabddadbbabeabeaeeeaccdebcbdcccaaceadcdecdadeedecaeecaaedbecbcddaabbcaeddcedddcacedbdaeebdeaaecdbadeddedceabbdddaacaddaaddcdeecccacbcacabadecbbdaceeacdeccccbdbdcceaaebeaceacbbecdaecadaacbbbbeaaabcdcaeaeebeaebaeadbabdcddbcecaeddeeeaaaeddbadadddcdedeeebbededcdeebdaabdebbadebdbcdaaaeaedbaedaeceddbeeeccdbcaddeacccaeaeadccbecdcadbdddecaaacbaacdccdbbceedecaecdeceddbabedaadcbeaeeaaaaabcecacdcdacaaabdadeddaaadaedebcbdcdeabadacdcabaeabeadcaceaccdedaaebeecedbbccebaddadaddedaeebaaaaddcacaedcceeadddbeaecbaeccccabebbcddbabacecaaedadeeeeebddbbaccaccdbbbbcedaeecacbcabbcebcbbbeeeccececabdceadcbdacedbcbadeaccebdbcdbcdcedeadedcbdadeaceccabddddeabdceeaebedbbadcbcecdbebacbbbcdeebadeaebdeecaedbdeaebaebdbceddcadddeedbaadbeccddccbcdaaaacebbdabecbaddddcdbbcdbdddbaecbbbbcedaceecbeabbdadeeeeccabcbadabddaaeccabdaaeebbbbeedcebbddbadedbddceaeeddcaacacedadaedabbddbacabeeccbbeeddaabcbbbdcebbeebcebeaebcbebdecbbecaabccaeeddeadebedacedbbeadbdcdaebddadcbaebcccddcaaacebdeaebaeacedddaedacdddeacaddbeacaecedeeeeaaeebdebddbaadeabacdaeeedcddbeeeebaabadcbeaeabdaadbcacadeecbebabacaeebedbbddeceaaaacabdedcdbbcacaabaadececbbdcbbcabbaacbbadbcbcebabdecdecdbcbdecbebbdaedbdcbaabeaeabceecebabcacbeebabbcadbbebcdadcaadebebccdbdedcdbebeecdadbddccbbbecabdcbcccdacebcdbbcecbcabedcbeddcacddadccdebcdbebdedcdbbaddcbaccaacaecacacbababbbdeaedabaacbadedbacaaedaaadabaccdaeacaccdedbaeceeaaceabdaaaacbbddecdadabdeaaedbbebcabdbeadeeebdcbcddbdcbaeeddabcaedacebcdacaaceeaeeddebaacdabeeacabddaadbdddaacebadcaccdebbaabcadbeebbcadeabcaccacaddddacccaceeccddddbeaacbdbdecbabbecedeaaccdccdedbdedceadaecaaadccdedcccdbacbbcadcaacadcdcabceaaaddccdbdcdcecbadabddcbdaacbeeadaabbcddddcceedebddaecdbaeaceebcecaacdebedebdbedceaedbddcdbdeddbbccbabeeeaacdbbddbbcacadeacbaecbadececdceceebbdadacaadeaecbbcdabbcaaeebdbaabdcbabbedcebeeeedcccbebeeebebbdccbadadabccbadbcbeecadcaadceaaeeccbdabadabaedabceabdcaacaacdbdcdbccbbbadcbccabbedbceeaddbdabbcbbdbdcbeacedbcccebbbabdbbcddbbedddaacaeedbadcdebbbcdeeeadbedcedccaedaaeceabecdbedbdacccbbaddaedabaebbbecdccccabebeebeeebadecbbbaaabdedcabebeedadcdddcbcabebddbadcccdbdbbebdeeaeccebdabeaebbccbdcecaaeeceabebbdaeacdceeecdaeaeaaccccddcdbbdababebcecceacbbabddcdceecbcdcdacbbeddcbaeccddcccebcbdaacdecacebdebdcdaceeabccbedabbdbedbeccbecebeebdedddbbcadbbbcbdbadbecbcdabaccacabdcbaddccebeeccaaadabbeeadcadecbabaaceaccbabdceaebaecbbbaddebadedacddbebcceaaabbdcebaaccacadcdaaeebeaacddeebbdbcdeabaecbbcadccededcccbdabdbcccbcbaeecdcbabdacdabeebdadabeabbabdececaecaebbdbcbdcbecabcbcecbabccbadcbeabcddabcdeedabdbbeeaaedcddaddabcddbcaadebdacedbcabdeabcccdaeeabaeabbebbbedbbbeebaddbdcbbaaeecdedcacedbaecdbdabaddebcbcadaeccadcaeeebeebdbdcdaaecbdaeeeabeebbeedbeaccbeceebaacbcacaacdbdaaebacbecadaeedbdabacacaddebdbeebcdbcbabdacebabecabbeacccedbcdedebacbaddecebadaceedeaedeaecdddbcabdcceeaaedbbccacebebeecaccdedeceeaadebdcbbddabddeedabdbeaaaebeacdcdcddacdabcdebdaebadaeceadabeaecacaededbddaeaddcbcabdbbbddaccdebedbdaaabaeddcbbebcadaeaaeeeedceeedbdaecbbbadcaecdedcbdedaaabddcbdadebaedcaecdeadcdeddeedaacdabbebeacdabebeaedccaaaccacbedecbcddbcddbbadbdaecaaccebbcaedcecdceadcbaceeecaadacaecdabacaaadaccebccdcedceaceaebeebbdbdababaebbdbbacdabbabeecedabbaeeeeeaeadacbbaccaccaaaebccdbdbbebdabcbdaaecbcdabbcbbdadcacdaddcbbddbacaceeaedcddeaceebcabeadeeebeabddcebeaeebdbdacaaabcddcecbeeebedacdadaebdaeedecdaabddbbadceedabccaeeeababebbddeebbbeaeeedbaceddcbccaeaccddbaaceaadbacbdebdccaacdaacabcddecddebbbadaecaebbadeedbdaadabbeadabaceddbcbebcddebdaacdbbeaaeaabebcbccdcbbbdaadcacaaedcabdcaadcbbbcccdaabdeecdedaaeadbbeabcedbabceacdbadacabcdcdebdcddeaacdeceedecdddbceaadbbdecdacceaecddeceeeabdbcbdcaeddebdeaebaabcbbdceeeebcdecbedcdaccbddddeacecaaaebcebcbdcbdcbacdacdceeeccdddbbdabdbdcdadddaeeabbaaaebbeaaabaaaceaedaebeaadceaebdaabcddceaaedadebdbacceaaacecedcbedbabdccbddedbbbcbadbbcaeaebbbbeadabaabaaedabeddbbabbddedaddecebbadceecbbadbcddceababebbdeaeeececcacdceebeebcabcdbbdeabbbcbbeccabcdbcaecdbaabeabbcaeeadccecbcabeaaacbeeddcacccaebeaabdadabeacaaaeaeeaadaadcaacbdcddbdeeabeabcaaaccacadbecddebcdccaaabbdcdebbcbbaaaeebbdbecedcebbedbdddbabeabaaecbbeecbaadbdbcbddcbaebbbeaaaedabbceeaeceaeaaacaaaedbbdecabababaecbcbcacadcbbeedcebbecdedddabbeaaccdaebbdcedeccbabcaaeccdacebcacbdcaeabbcebcdeadebeadcadebcdcdebbadcbaadedcadbcabeceaaaceebdcccbaadebadcbbecacacccbdedebaaaaeccedaebdbadeabacabacebdadacdaeddcdecdecaacebaebdedecccbebbbdbcdcbdbddeecebdbecebabeedbbbeedddceaeadbcdabcdcbccabbaaddddbdccddedddbeaaecaeecabcebbaecabbedaabaabcacbcdbdeebdccdaedbabbecbadecedebccbdeaceebaaccddeabbaeeababebacacdbabcabbbdacdaabaaaeeaceaacaeabdbbadadbeebadbbabbaaaebecaeadaaeedaccecdeccadadcdcbccbcabeedeeaaddebcaebebaabeeebdaabeaeacccceeddddaddabceaabdaaaeadbeddaddabebdeeedeeaacabcbdbadbbaceeedadddbdadcbccbacedbcacdedaeccccabebcaeacadccedccacccdadeeccaaeccedbededcedacbbbebaaacdebadddebceebdcaeaadbdaaaaacaabddaeaabbccddacbcbbcdccaceedacbcaaecaeeeccadcebecabddeaecbbbcabeaadcaeccddabdebcbaebbbebdecdadcadceaccadeecaaadcdadeabdceddabacaaadbcaddcabadeddcecddbbecebddbdbecbceaeeccaabaadebbddeaaeabeedcbbbcceebacdbabaebceeeecdaddeececeecdadcceeeaaeacdcaacaaccbedbbabedbebeedccbebcceadceeebacdceaceadcabaeaddebbbbbcabebbcccaccaaabcaaacbeaebdeeccbeeeeccdbdcbdcbeeaecddcddbcdadebbaddacecccdcbcabeccdaceceacceaedaebbdeceebaebbccddadcceceedeceadedbabeaacdbdadedabedddcabdbdeceedecbcbebaeecbadcdadecadcbcadcadcadaedbaeeccedeacbeaeceaecedcbdddaeaedcabcbdadccbceaaebbaccbebeceaeeaeadeedeeecaebeebeacddaebaacdbbcdaccadacaeeaccebabdaadabcaaeadeedaecaeeccacaedccabedeaacddbdecacecdaacbbddcbdeeabeaccedeaaddeeacbeaadcbacedbcddceececeebdbabdbecdecbcddedeedcabacaaeaddacaacbcbcbaeceeaddcdcdcaeaeacaabcdadedebbcbdccaaadaddddebebcabdddaceaecebecabebedbecbaecbdaeecbedcacabcabaaebdcacaaeaceaaeadcdebaacadadcdecaaedbddbcabaedbdaaabecdaacbbccdceebdaadbcbaaacddabeeedbcceedbaaeededbddcaacdcdbbbaddcedebedeabeabcecedebdbecbadceadbdcaceababaabdababaddaaadecaeaabebeedadbecbeddbccbcebbdacddcbecabbacdbeaeadbdbdaceeccccadbdeccabdabcbcbeceaecbaedacbdcbadadcccaebbbbbbaecabaedabddecdbceccbcadbedeceaebceebebdaecbbddcdebbcadcabcacdddcaaacddedaecaaeacdaeadeceebaedbbaaabacbbaadabebabcacacbeadbdcdecaedecbeccadddaaabbebbcecbeeeeccdadacabbaccecdcabbadedabcacbccabebeaeddcdbdeccabbaabaaabcebbaddbbceaaceeebedbccdaeaebdcabeecedadbaadabbcacdeddebceddabbebcdcacdebbddcccaaecbcbdeaceaeeeedebdcaeceacedcdacadaeebdedaabeabecbaedaebcbeedaadcbbeddcecedacabeaddebaacbbacacaadcecdabbbdeeaecaddacecbeadeccdededdeadbbcadccaddccdeebbeabbabcbaebaaebeebeecbdcdbaaadcdbbbcbacbcbbadeabcebdeeeecbdbdebdeebaaddadbaadbabdebaadadbcedecaedbdcdbdcccaeddeaddaebabadbccbebbdbbcebaeaecddcbdebdcccbdeaeeaeaecdceacabdaadaccaaddbbbedcacaccaeddadaaedecddebcaacdbadedbcdbdddebebadecceaecbdecaeecdabeeabcdddaeddceccbcbbeddeadaeaaacabaeedbdbedabdcaddeddaccacddcadbdcbaeabdebeedaeabadbdeaecebeacbbceddccdedabdcbeacccbbdeacdbedaabbacbdaabbbaacbdaecbabeeacdbedcdacbdcaeabdbdbebcaedacdccacdcdcdaedadaebcaabacdeebdebbecceebaacbdbecaccccaeeedaaacbccbbcebcadaacebdcedbdcaadcdebeacecdedbbdebcbbcabccadaaeaebedeeabaecaecddbbebcebadbdbaacbbbceccdbaaeddaccddcdcbccbbaadddedcabdeeeddbeacebacaadacecddddbadabcaecbecabbacdabedeeaaccbcdabcdabdedabcbdaccaadccdcdcbceecabccaacdbcccdbccbcaebbdbbccbecdeacdbdaeeabebaebdeecacabaaeddadecadedeeeadcccaeeccdddaeaaababbeeeeaaeceddacdecaecbbaecbcddeaaeeceddcebaeeacecbacdedcbcbaaacbdeebedcdcbbbbcccadeeeedbdbdabcecdcbaeecaabdadaccbecdbebeadeebbdcbeddbbeadcecedbadccbdeebceecdbddbbdebcbdecbedbaacebaeecdaeebaceecdcccbaeadbaeabbebdbbbdbcccecbbaaadeadeceecbeecdcaacdbedeacabcacceabeecdaedcaceeaceebeddcbedceabbdbdabeadebbbbcccaadcebbcabbaabdbaabeddcbbcabcaddaddaccadeaadadeaaddcecaacaaaaccadacddbcbaeceecebdbbaecdaeaadecbddedccddeddeeaabbeecacbceebaabbeeadaecddeedbbaceaaeaeebaecebdeacbaddbdaacbaddccaecdaecaedcbedbebcededeebdebbddbbdbabbabaecdddebcaddbdaceedeccddeedcdacbeeddccceeebdcaabcbdbebcdeceddaaeaebbdeedbecccdeddadbdecaebcbbaebdaeeebbdccdacbacdecbbeedceedbdabcbccdbbedaceecccdabacebabededbddbdabecdaddeecbcbebabcebadecbebceeddbbdabdcbecbeaadacabeedebedcbceceabaeaccadcdaecadebdaecceaeccddeeedebdeebcbaacedcaedcadacceeccdceeedeacedbaecabcabeabeedcacdecddecbbccceddbecbceddaeddabecbdedcbeacacdcaaddcddcbbabccdcdcacebddadbedcbbebbcaadccccaebedaedbdbedaeedbebabebebacbebddceaaeeacacebcccccdaacdebdcbeebdccbbdbeacaaedcaaddacceecaeccaeebcdedbcebcbdbeeaaedeaabbeccbeedaadcecccdcaacadcdbcadbaddbedbddaaacbedebbebebeedbdaddadeadbddcbcaeaedcddedcdbddbccbbcddadcdaaebbcacdbbeababcbdcdabbdeabcdbaddbdaaeccddcbaaeadedcdedbbabacaaaaedbebabbebdeebeaebadeeddebadecccbcbbacedabedaeeeebedddebdaeccaaddcaddadeeaacaeaceacaeadeedbcbbddeadeaebdacdaeacedeebbebcebddbbedbccbeddaedcdbbaaecceaeceeeaaecdaeedaeceacacddaadbcaaecbbacbcaeacbdbeebccebdaceeadbccacabecdeccecbaacbacccdedbeecdebebbecabadcbbddadeabedceeaadaccaaebcbebeeaacdabcbbedcadaacbddebdbabbbdbbcadbcbbdececbaabeebaaddeaeeeedbeccbaadeebcabbcdccaccddecebdacddcdecbecdbbcdceaaedbecacdbebcebedcbdbbeaddddaeaeebbeadebdccbbacdcdbbbdedeaeeaadccbadebccbddedbbacdecebddceeddbbacbadeedabeccbedaecbcdcaecddaddeebedeebddcbbcaaedbdecdcddeeaaabbadbdbcccdbbedbcbbadbcceaedececaebeeaedaadcdbaebabdbeccecddadcbcdcebbdddcdccaeeccdedabbbcbaddecebadeaedbbdcccadeadebadcceadadcddcebaddcaecdabdaacadccebedbddcdebadadeecdaceddebceceedcaabbcbaacaddddeebdceaecbadbecbadeaaccaaaacadcaeabdbbdecbcadbebeddebdcaccbcdceccbacdccbcbdbabcacbccddabdeabbaabadeddbdeceaabbdbddcdcebabeaebabaeadbeecedbebccbbbadbababcddedcdcbceccabbaedaedebedbdcadccbeabaaeeddbdaececacaebaaaabcaaecebaeaedcbdaacbbccbebdccdbdabedeccddccedbedcaecebaabdecdebcaecceaecbbbebebbaeccbedbcedddaacdbcbaadcaaadccaebeccdeeeebaebbbebcdebdabdedbceaaceeedccdebacebdeaecccbdbdacaabbdcbdeecaaebaddaacbeaeabccebbabcaacbabcbbebbccccdbaaeceacbaaebcabedeecdedcbdcdccbcbbaeeecddddbecaebaeceeeccebeeadadaaaebbedccadabeabcaabeacddccbbebaeeaabbebbeccccbbcdeeabeeeeababbaadebbeedadeccbddddabccbbcebaddebaebeceddeeababccccdaedddecabceeeabcacacecdcececbbcabbddbdecaeecabdeeedcdedcbdbbcabcceccdcadecceebcccadacddccacbbebccacdeacacbaebddbbbacebececceeadecdccdaebbddedececceceeceaacdebbdbccbceadbedadabbcddaaebcacecaecbabdaebacabedcebaeddccaaaadabaccebaaddbdaecebdbeebbacedaadeebdaeaeddbeeeccbabdbaeccdcdebcdebdecedcbdaaeccbecbccbddecadaadeabaededeadeceabcabddedbbdcbbacbabebcdbcdbcaccdcacdccadaedbdacceeadeadcecaeaeaeebdbcbbcedbccdbeeacadbcbbbebacbbddbadcbbddcbeadccdaacccadcceccdddecccaecacabcebcbdaadeedbbdddeecaecdaebcdcabdcbacabcbbeebbebceaaedcedcccccaedbeddebdadbdcbadcdbadaeaebaeeacadaecdbddcadbbddbdbaebeeecacaededcdeeeeebeddaeeaebceecdeccbcccebdaceebcdeccecbdddadeaccdcaddbecaecbecdbcacaeeedaddaaebeaebccacbaddcbedeadccebdbacedaeadebcbcdddebcceaaacacdeedbdbbdeecadaaedecedeabbacbeecaecdadedabeecbdaccacbdddeceedaccabcdedbecabbdecabeeacdecbcaaaedaadebaeeadaddebbbeeaaaccacecdaeadaabbeaababaeaddcaccdcedceeebbebaeeaeeaebcbabbdcabacecdbcdaeebaabdeedbbdcbacbcbeaccedeabdbcddeddaebbdcbbaadbdbdcadaaceeeebdbacebbdbadaaebbbadabbbdecdbcbedcaceccbeebecdabbdbbbaebbccaedadaaebeeabeebdedddaddbebcdaceadeeecdbaedeccbeeaabacebddebcbdaeabbbaebcadebdbbababaadbacbeedddbcbcdadbddcadadbbbbdbbdedbcbcadabeaaceeccceacccceeadcdeededdbcceaddabbcbedbdcdadcddddacdaecbdedacedadeeedbcdeddacebebaacbbbbaeaeecdbdedeccaadebdbbeaecaeedeeceabdddeeeebaddedeeaebcebeaeddddbbecdcaeaaadedddeaaeadcbbedabccdbdecedaebabddbbddacdcedeedecedcbcdddacabdedeaebcacaaddeaceeacbabcadcadbbbdcccccbcecabcdadeedbddeceebbbeccacbdcacebaebdabbecadcdbdbebbcaabcbebdabbceedaaeaadebdbbedbdacdcbebddabddcddaacaebabaabeccdcedcdeceaecabeecbaabceaaacdddcddcbedbedeebaacaabbcaaabcccdaecbabdddaacdcedeeddceebbbceccaeacbedbdcaddabbcbcdcaceabbceeaccececcedecccdaeacdcdecededdccacabeaeddeebbdbcddbcbaecedcbbceddadcbeddcabbdbbcebececbbcbedbacebcdcaaeeeacabdbadacbbaddcbdcacaeedbaeaaaeaccababeeacaeabebdddebeecddbdaaadaeaeebbaedaedcebdabbccdbacbbbbccdddceeeadcacedbedebddabeabcbecaeabdaacebeeabeadddbaaedbccaabecaadadadcadceaaaeddbaeabbceeabadbeadcbbdbdeebdcedacbebadccccebbebbadeebaebaecdbbdcbdeaeabddbeddabedddeeeeceacdeecedebbcddacabdddadcbacaeebeabedddeadbbbbbedaccddabedecebedeadabeaaebaaabeedcbdbcceeebdddadbcabbbaaecdaacadedbddcedbdaedcadcecacadabbcccddcbcdddcbacdcdbeabeabdbaceaacecaeddaeeccbeabbaabdbaacbabecaababdacddaeedcccacedadddeebcddbacaaecedabceebabaacdceacceebeceaebbedddddeaedceabaadcaabdceadebdbdccaeaaabadcdedcdeeeaaeccccaebeadcabcacbccaccadaaccbcbabaebdacccbebddeceedbddedbdebdddbacabbbedaaccccebadbdeadbddeddbbdcecbbcaaeeaaebcacaaabddaeeaabacbeccebbeedceedabcadacbaeeebbcbbebdaedcdecdaeceeaedccdbabbddbaeabcbacdcbeaddacbceddbaeeebebebdbeabecabeeacccedbdbbbbebbebdbcadedbedaaacccddebccbecccbcdcceebdaecdecdeceadabdceeeaaccbebbcbaedbbeeedebeacecbbbedaaeedbaddddabbacdcebacaebddebbdabaedcaebadebbdbddaccbbaeedcbddceaaecbbadacbcdbcdcbceeacabeaeeadacdbbbadbddbcabaaccecbabaacacdacbdceebeeaddcecaaaaaedaeaecbbabeeaeeccacdbacbabdaedaabdbaccaacdbeadecddcbdaeeabbdeaeacdaddedbbaabbbcebcebdbeaadadaacedacdaaaaccededddcdacabedabbbddbabecabcebccaebcacdcbecbcacedebceedbccabaddecdddadccdbedcbdacebaadcacccacbbcbecedeeebcbabebbebbdcbbbabebabdecadcbdbbabebceaadabedbaddaaabcabaacadaadccbcaeceddcececcadeacadbdcccedeabbadddbdbbbaececcabcdddecccdbecdecdbecbdbceeabaebebaeaaadbdadebebcbdbaceecdcebbecadedcbdccdebdcddcbcabeecabbadedeccbacadcaeabdecaacebbdbadbebcbdcbebbbccbdcbcbbdccededabdbabdbaadddbcddcdcbadbabdbbabcbebaddddacbdecddbcacaaaabdebaeaaacbecabddddaeaabaeabbecacceeabeecbdaadbbbbaddbaebedaebcbadcedabbaebcebbbadecbbcbcddecdabdcadaacededeceeebccabbdbaaeaaecbabcaaabadedcdcedadcbbeadedbccebaddcebaaabaddbcdcddcaaeccbaaaacbbaebbacbebdbcebcedbdabaaaadababebececaccdcedadebeeabbebccecccddcaeedcecdedbddbabecbeacdaeebccdeadeccdadcdadccbbdebecbddcecaaaeabdbebddadaedabeacebeabacdddcddaedcbeebbbbbcbbdbaceccdcecdabcdedacabacccacdbeeeedcedcadadbcdccccbdbbaadacbaabecedceaaeaceacebbedeaebdbbcedbdbdbaeebdddbdaadabcedbdadddbbddcbccedecebdabacebeaaabdededbcecaebaadeeaeceaebdbbcaeaebabeedeccbceaacdaccbadecaddecebbcddadaeadaaacecdebbcbdebccdeebeecebdedcebbccdcaaaaebcdbbadebdcedaeccadceddadedaebddbeadadebeaaedddbedebcbdadaadcbeebbacacddcbaecaccacdeabcbbebbdaebbdcaccdeceecdcccaaecadaebcabaddddcbbdcaeeaaaeacdddcedbbaaddedcbeddeaeabaacecbebeaebbcbaacdcaeacdecdbaaddbaeeeecdaccbaecdaabcaeabdadebeeccbeeaddddeecbecddbdbceabbcdadddcedcdaedacddcacccdbbbbbdccadbaddebcabedbadecabedaaedecabbeeaedbccecebdcdadbaccdcbdbcbcecdcaebebecdaddbaebbcbdaadcadddbaeeeeccadbabbaeedeeddebdaaaeaadedcadbeabaacacedbcdabcecaceadcccaeeedebbbddcaadcbcdebbdeeadeaeacdddbabdbaeaaddddedaaabacbabbbddadeccbdbbbcddeddcdececaeadcabdebabeecaadcbaedebccdcbddbbcbbcacceaddabbeebbbbcdeaedbacdbbaabdcbcadaeaddcaeeedcebbdceebdadaaeddacadabdeaaeacddcbddaccddecddaddaaeceebcacdbbebdedaebcedadbbaacdaeddceddcbceedecbcceecbcabcccecbbabdaccbececdbaeeeabbeaddcacddcbeebccebcabccedcbeaeaadaaebeedeeeaceeddabacbdecdbdeeeededbeededddaeddceccdbecbadcaadbcbbbceaacbecedccedbdadeaccbebacbcdabbbbbeabccdbddcaccdbdeaacbebaadbcdadadeceaebacbbecbceabbaabcbbebaeacceadccabceddddaeecebaeebcdedeacdacabdaacbbdeadbdddcedaaddcaeecaebadaabeecbceabcdcebdcadeeabceeeebabeccdccaadbcdeaacbdbeaeccdceeaeedaebcacdddaeeddddcddcdacbdbcbaecaddcdaaeceacebbeeeaedbbbcebcaecdbadacbeddccbdcdaecaeaeddcaebccddcabbcedcddeedbebedebcbcbedcdecdbbddccdccdaceaaceeabbeaceedaeddaacebecceaacbebabdcdcbabcaabcaaadddadeddccadbdbcedbadeccceabdaeedcbabadcadceecdecaceddcdebdedbccaeaddcbaceaeccbcaaaaaeebabbeabebcccaebbebeedddebebaddaeecaaeadbadaeebbccdeeebbcbdceaacdcaebcaaebeaddbbbbdedcaebabdcbaaababddbaedebaeceeabdbeaeaaeccdaadcbeeeeddcdcaceeadeccccebececbbbdccdaeeeeaeadcdaeaaadedbeeaaedaeedccedecbaccdadaebbedbacaadeddacbaebeaeddceeabbeedcdedaadeeaabaabecaeedcbccddaeedcaaebeaacdeeedeeeceadbeeddaadbcdeccbdbbcecabeedbcccdedcbdedeedbeeddbcedeaecaecccbebcccdedcdebbdeadacdcacddcdcaecccaddbedcddedccbdebdbecbcccecebcaabedaeceacedaedaccedacddcbadcdceadeedacabaccbadcbcebaabceabdacedcbbecbdbaabecabbdcebeadebbacadaaebcdbbbccacbdcecbcdaecadbeaddbbcdcdabbbeebbbbcdedeacdeecbceacadebddbceaadaadaaaecdbceaedcacabadcacaebeebcaededccaceeaadecbaebbacbcacedcedcdabaeabdcdcbbdbcdbcadcdabaaaebabaacdcdacbdeceadddaedbbecccceaadecaaedbeaaedeadccdedbadedaddaebddcdaacbdbdeaabbdabaeebdcaceacccbaaaeaacbecdbedcecdaceddaeababbeaaaacceddaaebbbeeecdcbccebdccbaebcdbdecaabbebadeededbdbeebacdedbcaedeedcebaccbbcdceebbabbeeeeeccebeeaacdbeebcebeadaecbeaabbdeaeabaaeddacebdcecaababeebaddbcdacbbdeecbeebacacdeeeedaeeeeccbabbeeaabcedaebcdabacdbbbceaacaaeeeaeaacdedeedacabbdacbdcadeacbdbcbbabbeceeeeedbededaccbeaceaacabeddddabaceaccebdccaadaeddaebdeaceddeacadaceddeeedaeececaabbccdcdaccadbadadccabeebbadddacdbdbcbabcdcbdbebadbccddcacbbaaebdddebbdaacaeceaacabaceecebdcbbdedadcbdceeabbcacabcbeedbcbbdebeadbdecdedaaacdeebebeedabbccbaaacbaaddbbbdbdcebedbceeabbdbbbeacdbdadaeecbcbdcbbdbaeabeeaadddcebdbbbcbbdbdcadbabececaaceedcaecccacaeaabbcacbcdcbaeedceceedbedcedeebbcdecdacecedebabccbcbcebccccdedbcbeaddddadeaeccabeddbddaeaecbeabcaebcbacdcdaccedddccadccaddadbacdadacdbebddacbbebdebeaaabceaceaadcdeccbccbecebaeeabbeccbbbacbacedddbbebaebbcdcadbbbcdcbdcdebeaaacbddccccceccdbaeaadecaabeaacaaadbdacbdaabedddddddcaaaeddbdeadebecdeceabcaeeaaeabddbedebbcacdabcdeadcecdbdbdadedadcadcbbcbbdbdbcbcbccdbdaccbeaddcdddbedeadeeeccdedeedceacdaddaeeeaaedeaaceeddbecdaaccbaceabdadeeaabcdaaeedbadacabecdeebbbbdddbbebabcacacabeeddbbceeaceedaaebaabdeecddbbbdbcbbabcabcbeadabacccedcbecdadbadcdaccaaadaaddadcadbbebecbebbbcebeeebbdabcbccbcdcbcaeaccedaccadcdedbaeabcebcebaaadeddcccbaddeabaeaccdbedbcbaebedeecccdabbddedaccdcdcbdddbdcaaacbcdebbddcadccaaeeaccacaecebebaeedcdaaedeadabaeeeeddeeaedbadbedeceaadcbceedabadaedcedaddbaedbcccaabadbcdabbcadeeddaeddcbceaebcccbebccbdbcdadedaaeabdcebdedcdebcbbcebabedeaedbedccbacdbdbccedaadeddaebaaccebcedeeecaceccedeeedaabdbdcdbaccdaccdbebabccaedaecaadbbcdeeedabbbbbbedecedbbacdddbeaaceaceaedbadebbdacaabddccebbeccdeacbdaeeadcbbbaccacecbcdbacaddecaeddcbbddddecedcccbeedcaacaccadbbbeeddaebdebbcccdbcaeeeceebeccaececdaccdbbacdedaecdeceaacccbaecadcbabbcdcdaccabbeaeadbbeddbcabebacabbccdcdeadacdecabddcbdedbcaddbcdaaccbeadcdebbbbaabeaccadcdeddcbdcbeddbedccdccabbedcdbcbcebcdcccecbdebbaaaddaaecacdbdccebaeebbdedcdcdbccebaaddaabeebdbecadeaadbeccaadadcbbbbdecaccbebbbcbeaddddcdeadbcdcaabccadabababecdeeeceacaecacabdeadeeaccaaeeaacbdccecccbaedacacdbdecceacbebeddaaceccbeddbeddbbcbeedaddbbbedbccbbbbcbbbebbbdaeedaeedebaacbdbcadcabbbecbcadecaedcecdbbbdeeaeeaaccaabbbecdababeddacdadceeacaceedeeabeddcbccaceceacaeebdbaaccaabbeaadeadcbbcdedcdecdabaedbaedeaacedabcddabcbdedbabbbadaacedaccedccbdcbbedbdebaebddbdbeeccbebceaaacccdaedadeddcbbedecaabbeeebbcceadbcbecceceeedbdeebacdbcebabeddadbaecaaaaceebadaabacedadadeebdecdacddcbdadbecdceadacacbeedaabddcedbbaeeccbcccebceadbbcbaeedaeeebaaabecebcdccbccbadebbbdbcadedccddeaedeaabccceddbbddbabeebebbbcdedddaedaadeacbaabacdcbaebecbbadedcdeaadaccdcccbdcacbdbeadcecadcdebaaeceacacacaebcedaccebcedabbcedbcbcaeeebcaeaceddeaebdbcdbaecbcbaedbdedbaecbcdbacebbebecdeacbbdaebaaccedddeeddadbdeeceadadbdbdcadbecdabaddcbdecadcecbebaeacecbcddcbdcbaadbcebddadacdbdbaacbaaddbcbecabdebaeaceebebcecceabdaeacabdeabdaebedcaacdacaeecdbecdabddedebdbdbcdadedacabcbedebcedeebdbdaceceabeeccddcdcdceeebdddbabbcaaaececdacbaebeeecdeebedbeaecbaceeadedacaddacacbedaeedecbdbdeaccbaabeeaacddabcccceecdcbcaeedaceccecbdebabbaaaecbadbddccebabacdcebdebbebbbecedceceecaebcbbaedcbedeeacaddaaaaeddbedabdeebcdeaabadcedcccdbaebcecbbdbecaecacecdacdddbaceccaaadddeabbcbccaabaaecabcdcacabcebaaceaebbbeccadaaecacddacbdeabeeabeceddcedbbcbbbdeaddebeccaaeecdbdbaacecdaeddecceccdecbebabbabedacbcadadedcaaaedacdabdbeccdcdadedaaddeabccadadaabddacbdbbdccabcabccbddaaedabbcdaadccceeaeeadaacaaecdbbcaceeddeccaaccbcebeeaededacbceacddcbccbdcdacaacaedbbdedaecbbecabbbbebeceaeebbaebaeebcbdddebadaddebedcdeaeaebaadacdcdecceeaeebdeaeedbaacedddaedebaebecebcdcacecddaaddeaabcacccecedaebaddbdeedaeddbeedabedcdebacaaeaceddcccdabcbcbdeebcaeccdbdaccbbecbeccaabacabcededdaadbdddcdeabcbcbedabdbdbeeddeaecddeedaddabaecccaedecbdceaadabaadaedbbbbebdaeacadaeabdebdeeaadebabdcbadbdbdaaabadddbbcbcdaaeddbecdeaaebeabcadddacccededdadabeebdcdedadaaeabebcedaddbbbdacbbeddbaaecdbaceecbeaeceddbccbabbbcbcaadeeabbecebaaeabaabdaaedcddbbecdbdbbbbccebedaecebdaeedadcbdebdaecaceadedbabdbcdeadbdeddbbeaebcdcddaedcaecdedbdcaccddacbddaaecddcdbdadddabbbaccacbbbedbecaaedaccbceeceaecbadabbbbdccceebeecceaeacccabdbbbbdeddaccaebcbeadebcbdcebdeddbedddceddbdaaacdbabdebbaaedbdacbccdadedcccbebbdebdddedecbccdbbcdceecbaeecdbebdeeeebcedbdcaeeebcecabdacedbbdeaaaecadeceedaccadeeacdbdeacebdebebcdecaeabceeaccdacbcbeabdedebeaecdacdbcdbbebccaecceedcdaedecaecbaacebcbbeeeddabececcaaeccbbabdaeabccbbebadebbcbbcacdaacadcdbcddbecbdaecceaaceaaaeaeddeaaecdadecccdcbacbbbbbadeeeadbaaecbddadabbdaebcebeeaabaaeaabbaeedbeedecbcebacdacadbbbcaeedcbacacaceebcdcbecebbccbcdecbadaedaadcbbeaaeddaaeecccbdaebcedaedeaaccbedccbaaadddacdddbbdacccadbebbebcdabaeddabbcccedeaaaeceeacbaadcddbccbacddccbbaaeabbbaddebebdceabadbdaabcbadeedcccbbdaccbdadaccdeedbeabbbbdbaeebbdceccbebabdaddecaaaddcdbceaacdbcebacdbdebccbdbceeaacacabbeaccaececccdcaaebababacdeebdbeccebaeaaabbcceeeeacbcbdddcbdaedadbbcebaccbeeedbadbacadcceedecaaacecdcccebaacabaceadebccbadacaecbccebeedaaebbccbbcebacabebcbdcacbdadbbacececabacdacaedaaedbabdabeddabeeedaacdccdbdaaccbbdddbdbcbeacebebeeebaaaeaebbaeeaadedbabeabdbcabecddeebcabdcbdbdcdecceacaeeeacadbbcabbcceaacaeaebcbdbbecaadabebdcecbecdcabdecdeceddcebcebbbaebbbabecdcabcdedbcaecdeaeeeacacabbeadddddaeddbabeaabcacbcadbeddeacacddcbdbaebdecbadddcbadeeeaacdacedaaedbdbaecaaedeeaccbcbebdbeaadbeddecbbebdddeacaeceebbdaeceebbdbdeedcaedaadebdecbddcabececbdaeeaeaaebdcdedbcebddbedeebebdcceeeaddddacbddbbaeacbaecbcadaebecceaadadebdcaaaeeedaecaaeedaadeeccacdaadbeaedeacbaddabbabecadcdedbbadeaceebddcbdeeaceaeacccebadcccbdadbaeecabbcebcedaccdebaabdebebdecbcadadeaeccddcedccbbbdcdbeaddecddcebdabadecaacbbcbebccdcbeeedbcbdaddddaecbcaaecaecdedbeedadedcabcccabbccccaeeabbdbcedcdcedcebbcdbddeeeccecdbdcdddbaceecbeebdaecddedcbbddabbeeecbddbdeacaebcbdecbddaddcdaaaeabcceeccadddbdbacbeaeadaecceadcdcabaebeeedbbbcecacaaaedcccdbaeeccddacdddcaebbcdebbededbecbeadeaaaaccdeccabdadbdcdaacccaaaadcbbbadaabdcabebbabeccebadaadcbcadedcabebacbeebebdbddbbaecbeebbaaaaacbdeeabeeccdbeddcecdccacdbeadddcadabcaebceeedbceddbbedbcdabbaeeeebceceeebdadbecdeacddacedaebbcdeebaadeebeddecaebecadcacaebcecedbedeeebdebbadcbaacbdacdbdeaabcbdebbadaaeccccbeebdadcddcacdebbcdcecddbaeaacdadadcecadecbadabcedadccbbcaccadaeecbceaddaebcbcaeabeacbedaebbaadedbbeaadaedecbecebadabdbeddcdbedcdecabbbdbaccdeeecdbebcbaacaadeccdbcedadceacecccdedebecbedadcaccccaecaeadaeadcccdbabebebbccbedaebabddbbbbbcdebdbccddbabedbdaddddbcdcccaeddbabbcadbeaddcccacadaecdbabbabddcdadaaeadbbdbbcddcdedbebeecedcaeddbecceddcbdcdabbeeedaecbdebdeaadeadbecedcccbeebdccdbdaddcaeadbcaecdecdbbccdadeadebdccaccaeeaaeaccbebeadaaaacbbdeebaecdacadcaeceaeabbbbdbdeadeceeedcdeadccdceaeacceceadbaaedbaaedeedceddebabbdbcaedcbabcacebbeaaedcaddecaebcceabedacaceceeaceaaceadedaabececdebbeabeedaebebbaeaccecbaeeceaaabadddcaabcacbdbbbbbcdcbcbdcdcbaeddcbeabdacbbcdcbecebdedcadcdcdaaddddbaedecdedcbeceaebccdeaaceeabaeaadbcceedcccbedbcddcebdcadabcbeabdeceaebabcdbdbbaceecdadebbdcbbcabdacddadbaededceebcdebbadbbdbcdcccdaccadcadcbccbbedddccdadeecaaddeadaeaaeeadabbecaeccaebadecbaeadcdaaddeeccdadbbddcceddadaccdbcbacbaaebabceebebeedceebabceddacdeabbebbecaccbbcebadccdbaebadaaceacbdeacbaaaeeddcaaaeebbedddbccddbcdabcbbdcccbcaceadaaaaabecadddddcddadbcdbacceacddccddcdcbeccbbaecebcaddcdbcacbccedcbceacacdddcbdddaaecaebddeaecbaceecaadadadecebcdeeccebaaeeebcabddaecceedaebebeccbaadacababcaeadddacbbaaceeaeebdbcaaceecdabbababaecacbadceabcdbdededbddeecdcabdbabaedaecadaaeaaaadadbaebcbbeaabecaceedadacabacceacedacedbbddadeeebececdbdaebddccbaeaecccbbdcbbadcbeeceacceedabddabeeeeecaaaeedeeaaccbadbccedcdbdcdacadebdddddddeaededaeeddbdadcabcbebabddbcbeddabaeabecedcbacaccacdcddbacbbedddbdeabddaeecebdddbebbcebbcabedaeeabededbbdabecbeabedaadbbaddbbcecbadecdebbabaaacdccbbeaceeccdbccbdadbebdbcdbdcbdbdbbacddadaaccbadadaacbbcbeeedbccaeebbedacdcbcccbdabeebacbdeadaaaaadbaaedaacdbaacbcecbeedcdbaddbcbbbcbbaaceadccddcdcacaabcdccdcadadbcdccbcccdcabcdadbdddbadcaadeeeacebdadaacaaabcdccebbcdaeeceabeeabedcaeaedccaadacddddbebbbbbeecebaabccccbcadedcacbcabecacdbadbbcbadccbaccdeecaedbbdaacdcaeaeeacacecebbcecaebaeaeadabbeeccdcdbbadacbdaadbdcbdeaaceeaaabbaeabeaaaaccbbdecacedcedcadabeacababaddeacacbcccdaccbbdcedaeabebbeeeccdabbdacabeccdcceaaebcdcbdbeacabbbeeddbbdadeabcacceadddcbeaddaebbdbcddabdeebadebbdabdeaadeacdeddaaddabdcabebdabdeebdeacadebdddaeacdacecdeaaedceebbdbbbacdcbcccacaeadaabbaceabeaabccddbdacaddeeeedccadcaaebebbceaedeeeecbacecbdeaceadebccdbeaaeecaebdeebcbdeabdaeeacbaadddcbaebcbebaddeaebcddddbbcbdbdbadaeebcaabcdbccececaccdebbcbcbdeaedadecbadccabacdeacdeaaaebacceadaceaaadcbadaaceddeccadbecaabdcdeebaddebdaddeabdcdcabccbcaceeeaaaaaebccdeacacaabebdbdbaacdecdceaddeaebddceeacebdceddeecccaeccbedaabdceeadeecbbdecdcddbebcbdaeaabdabbbaeabbddbcacbaacbdebaeeeededaeebbcdebccddbbbbcccecceadaecebadabcacddadbeeeaccdecacacaaccbaecedeebdebcecebddecbcbbeabeccdbedebadaaebceceeccbcadcbaadbbbcddedecdeabaaebacdbecccbabcdbbaadedebaeaedbcedbaedcedbcaeacdbdadecdbeeadbabebbcedeccdeabaebbaaebcbbdcbabdeccadeaaadbcddbadabecccbdabcbaedaaceeacededcaaceabecaddedadcbcaeccbebbeebaaccbbcbdcaeadccecdbcccbcbdebadaabcbbbecdbeadcaadeaeedccbcabcbaeebadcdceaeabaaadabbeaeaccabaebaaccddcbcdaebbeecacdadcabccccecdecbdbedbaaaeaedadcabdedeeaecdeabcdcdaaaecbbceededbbaececcdabeaabeebbadaacccabcccacdbbabaceeabbdeecaeeeacbcbcceeaeccccededbcdceacbdbeabaaeababdeceecacadaeadceacedbdbcbcddcecebcdcbcedcbebcabcebadacabeaaddbececaeeecebecbddebddbccecdeaadddaceaadcedccbeaabaaaadceebdcbaecbedcccabeeecdbcbbecaccbbedbecccadddbedbbceacbeceebadcbeeebddedaacdedcdbccbdcacecbcbbcdbdddcabbdbaccbcbebcacbeeeaaaabbcdacbdabecceccdeedaedacadaddbbbcbebecaeaeaceecdabdcceeeceeaddbedeeeeabddbbebdbddeaecacdcebcbbceaacdbdddeecbeccbaedccddbcedebcabedbdbbeaeccbeecabbedaebedcbcdcaecbeabcceeacebaaccaeecbbacceddabaebecdadbccedcebdebdacebeddcadccddccddbeebdceebaeadebbdabdcadedaddedbcdecdddbccaecedbcbcdbebbdceaecdcbeaeeeeeedeccddbcaccdeaebccdcdcddabbeceebbbecdaeadbebabdcddebcdeccddbbddbeeecaaccdccaebceebcbbdecbdadeeadeaadeebbbaeeaaacdaddecabcccbdbeadadbabbdcaaadabcddeddabbabeaebcabdaceaeacadcaaccaaacdabedeaaceeadcdccceebcaccabdaabebdedabeaabeddaaeaeeccbbaadacbecebcebccdcdcadbabaadcdaebacdbbeebecbdbdcacebeeeaedceddacccebbbadbeabceedaeebccdbccbabbbbeccacdedddbdeabbaddbccbbccdddaecaededaaebbccaadecadbdcbaaadbccdcbadbbabedeababdabdebdaacecceaaecbdbbbabdcabeeaaddbeddadacaaddcccbcebabaddebbcadaceaecaeedcdbddeeacdcaebacccdbcbabaacddbccdbababcbadcabdcdaaaedecbebccbaddddabbdacbcededeeaacebdccebdcdeacbdeabbcbeccbaddbacbaadbcccbeabcceeebddcccbdabdcdecdeeebabaababadbbdccbcbecadeecdceabeceeddaeebbbccedecddaeeaceecabbaacdcccedaedbaaacbccbbadadbccddeeabbdddcdebbbebdaaabdecaabccbcceacdceaeccbaaaddecbedacbacbacdbddaddcbceaeeddbadcbcddbcbabeeddbadddbbbaccccdeeadeabbdcabdceaabcdecebacebeeddcaadaedcccabbdcdcdebecdbcdbdebbaccbcecedccbaaebabbbeacbabcaeacedaedcaacadecbccddeadddbbdccebdbdacbdbbcbabadabeeceecccecdaaccbddeebbbecedeadeeccbddbcbacdebcdeeebcdcbdaecabdccebbebcbdaadbbcdadcceacadcdeacccdeeceaaceebbdcdedeaaccddaddebeeebaacdbaabceceedddeecbaebdbeedabacceeccdadadcdadeedbecbdcaccadceccedececedbbebbaacddbddcebbecdccbaeeeedcdcebbaaaabdaabedaeccbaeabaedbccbdebcbcebbbcedcabecabacbbdeecdcccbbddbdccbdeecedcbcaddaeebcdedceceadbdcdcacbcbdaeacdaabcbabaeadededbeebcedaadcacdabeacadacdeaeedcdbabaeddeceaacbadadaedbbbadcaedbdcebaaccdcacabcbecccebcbcddeccebeabdcceacdccecccbeecddbdadcbdbbebbabadddeadbcbbbedcbccaacdbcbeaebbadacdcecccbccccacbeacbcbdcddadeccadeacebacebddccbdeccccdcadbceacbeeabadbebdccdedacabaeacccabbbbddbeeebcbeabcadedabbdeebabdeebebaeccacdcadbbbdaeebeecccdbaccddbdaccadbddbcbabdbdbddbecdabbcadebbeddbcbbdabeacebaaaeedeecbedadeeccaecceedabdbacacdaceaeeacbdcdecddbedabdddedbbbdbaebcccccadacededadeecceeccbbbbebdceeaccdbdbaaedbebcbecabebcedbbebbbcbeaecdbcbebdbccacaecadcbadebbeeaeeededeceeeecdbcacccaeeedbbbdadbebbaaccdbabdddaedabdbacacaeccbaacbaacacbedcebbbedbdaeebdcdaddcabdcbbebdcdaadcdaeeecebddbeaebcaeaabadcbdbcacbdeedccdaeaadccdedcdbdbbbceccdceaaaabbcaddececceecbabaedbecbbbcebacdabccdbdabedcebeedaeeddcbdcbdebcbdcaaecbeecabaeceaaacdcbeeedebebabaabecbbaabeebcdcedaebabdbecbacceeddeebaaedabbcdbcacadcddebbacbbbabeecbdabbeadabddcabbcaacbbddedcebedcbbaebcdcaebccedaebeaddbdabcedaebbababdcdebdeadbcedaecaedebdbdacbeebcccdeaeecceadedeacebbecdbdeebabaddbdecbccadcbebebdaecabcecdaecdccddeaeadccadbaacaebbdcadccbacbcecaeecbbabaeccdceababdecaaebcecaedbedaddbecdecdbdcabbbdabcdecdcccdedbccacbccbcdadcccddeabdcaebabcacabbdcdeebdceacbcabcdecdbcaacaaebcbcdadeeeaaecebbeaabbdadadedceceecadbebecdbeeebebdbdeeabedcecdbacccbbadbcbdeeaddeadbbaacccdadaaceabcdeaadabbdcaadcbbddbedcdbcdccaeedbbbebedaacdacedcaededebcbdabacdbbabbebbdcdeeceeceaabbededaaadcbbbbadcbbadbaaeacaecdbcbaebacdadbaabedadabddbcbcceddbdcccaedadceecaedeaebccceebeedeecaeebcdecbeedbddcacebbacacaaeddacaececcabdacdaabcdaabdadacdabbacedbdacecababcaedcabeedbabcbcbbecdcdeeeecdbbdebbbeacccdaaadebbbddedadedededdeeaabdbeadaecbbccbcaeddedccbdcedaeaeecabebadedbdeabacebaddccaabebcaeccbdbaeeeeeeaaaabedcbaacbdddddddadbdaceecdbadbddddcbaccbdaacadceddbaeaeccbadcecdacaedecbddddeaadadabdaadecbedbaddabcaaededecbebdaebabeabaeaeebdcecabddeccdcadccbaccdedeaadeabaebacadcaabcaedeccddebdddaeeeaeeebbecdbeaabacbbbabeccbaacaabeeebdbdbbcbebdbeadbacaacdedcacccebaaccacdbacbdabaddcccebacaccdecababedbdacbb
eadadabcdbbbcbeccbeecdaaeaeceadbeabeeecbbeecacbeacceaddeadcbdaabecdacecbcbbebaddddbccdbeaacbbbbbccbbeabdadeaaacbdadcbadedcddbadaebeceacadacbbeebedeaadceacebedbcbcadbbaeecdadcebecabacabebebdbbddceddabadbcebebacaacadcadcbebbaccadccaaabebcbbdbadebeaacebaaeebacbdcbeceebbdcaabaaacbebeebdecbebaeaebcadceedebdaadcaaabdcbebbeaeddbbeeebcdeeadbaeebaedebcceaeddcbbeadcecbaaddaeebebcdccadebbbedcbadcbdebdbccaaabceeaccdacddacacdaeeeaeeddceaeeadbbceebddddeaeecddebbaeecbeeebdbbaeceedccbdcdcbaceebeddcbdecdbecbecdddacedbaddbcbbacabddedcebbbbeecdacddbeecdcdabddceccecabeceddeaaeeeaddececececadedadeeaeabeebcdaabbdedaadbdbaeabcbddadaeccbbedbcdeeabaecbdbeddeaedcccbebceadecdbeddbaeeabbddcaabbbcadeacdbacacceadcabeedbeeccdedcbccddabcbdbebbabdadecabdacebdcadbcebbbbccebcecedadeeaeebabccdecabadaaacceeecceedaeaceeedbaebaabddecacebdadeceeadeebaacacceaebdaedaebecedddaeeedeebcdacdadadabebddadceeedcedbadbdcdcadaabceedadbbddcbdcadaecccbbccbadbcebbaeddbbbdccbdecebbceeabbdcadeabdbacabadedabceaddcbababdbeeeceeecbbbccacdddbbadecbceebeeadeaaccbeabaeecbedebbaaacabdbeedaacccdecddaccddecddeccadeedbdddbedcabbaabaabaacaedeeaaecdcbaadaeabebcddaddcdadecaecdebadcaddbeedbaddedbaaaecabebeadebcbcebdcabecadedbcebcaeeacccceaeccadeedaddeabcdeeeaaeeccbcebddeceaabdadcecebbcadedbbbadcbacacadbdbaaaeaaccadbdecddceaadbebabaddaddbcbbbbdcecccebabbcceaceaceaecadceddcaaeadabadeeaebcaeaeceeebbaeaddbebdbdacaaecdedacaaeedbdcaadbabdaaecddcabceeebddebeeabacabeadddeaabdcbedadecbeccbcaccadcaadeedecdacbebdbdeeecebedcdcbbeabbdadedbecaaacdacddaaccbcccaacbbaeddacecdedceedcecbaeebdcabcacaeeddbccedcdcabaadceecebcdecbecadccbcebedcceccdcdeccdebcdeeddbeaecdcbeaaddeeaeddbadbaeacebbdbdedcbaaccbdedeabadcebbaddcddbeebedbadbdcadcebbcdeeccbdbbdacedadaeaecdeceaebbbdadcdccbadbcabecccbebcbdabddacbbebcccececedbcccccadcdeaabcbbcbeecdcedcddaeaebbabaadddbeedaeecbcebabcecbccadbeccaedcadbdcdcaaedeaebbbdebdaeebdaadbcedcccdbbddbeadbddbcabcdaabdacedceadcdecabeeabaceeecbebeeeabebddbaacadabddaeadbacedeaebacdceaaebbaaaebceaadbcbbcaaeeebdddbdabaccbbbdcdabedcbeccbeeeaabdacacaebcbcdcaaadcedceddaccbacbddeabacccedbbebeedcedbabbdbecabdeacaeeeeccdddedceaeadbdeedecababbedcecabedeedabaabeceeaadcddebdccddadedcccecbdabbacbdbdcdacccbecedbbadddebccbbbbedceccaccccecbbcbececceeadeacaccadabcadacacdbdeabbbbeacadcdadaebbedabebbdccaabcdbaeaabedcdadcaedbedbcaaebddbdecaccaddccbedadadacabcacdebdedcbeebeaedaaadcadeeddbcbceabccccbebbbeacaaebbadebacbdcdaceaabeadaeeeadccddbeadddedcbceecacbdbbabbdbcaccbebeadcaaccbeceeedddebabceadeadeddeadbdaabbddccbcedaecbeadeebcdbddacabbadcadbeedcceccadabccdcbabcddbccaaceaedbbeeebddbacaeadbbcebcecedecbdaeddbbcadacdbbdddccdcddbbcbebdcaecccbbeabbecabdecbeebabcbdacacebdbcdaddddaabbcaacbccbeadcbecaecbcdadadeaddcdddbaeaedddacaecabeaedeaabadcadcadedacbaabaceaaccaeebaedcdddeccbceaabddcbcebceaeebbcaabcbceeabcababdcacaeecdccedbceacedddaaececcccacdbbcccecedcaecabbcaddbeaeeabadeabbdbcdedadabebbaeddcceebbbcbaaeaedccdcacbcaaeebbeccebcdcacabaaebccddbebddaeadcdeebebeaddbbaedaceeecbdaecddacdebebbedeaedaedceecabbbccaeedcdadadaeaacadcaebdecbaaeeeaceeaebeceabccdcdedbebdedbcdbbeeecebebaddeedaaeccededadcdecccddecceaeeddbaeccedbeadacbbcbeebcedaedbdaaebdcdadadedeccaebcdbecabdcedeeaeeeaebeddebcacdcceeddddccadadddcccebbeaedeacbcaabeaabbcbdcaabeebadaddcdcddeecbbaceeeddedbeaaebddcbaccbecabcdddabebbcbdaeaccadabbdcaecbaaacdadbcdbaceeacabeecbdadecaebeaececccacbeaabddbbebeedeeebcccdcbccedaeccaecdddeabdcacdabbaeeceadcdaaecdaecdedbcdadeeadabecabbeaedcdadbdccecbeaebccdccdedbededaaabaecddaeadacddceeedeecdececdbeccaebbabcbbebccebedbecddcbcbeabebcdbedbabeddceebcacbeeddbaaedcecaddbddcbdeccdecdcccecbeeadeeedacecbeaededeeeaddacbccbdacbdabdadadeebcccddebbabcdbdcccdcbbaddaacebadeeabbdcaabbcabddcacbcbdeeeabdcbadcebcbcbbadbabdacaddddbddaacddacaabdcadeadbadebdaedebcaddbacecbeecacacbedeacdbdbaaaaccbeebaaabbbebdbdebebcdcedcedababddcddaaedacdcadbbadcadaecedceedecabdeadddbeddbaecccbdbcdcddecbeeeceeeaeaedcedacdbcbececdbdabacbeebebeedbabcaddbceeebcabeebccadabaebebdaeecbbccccbdcccceecacddceedabebddacbdbccebeddcdcbbccbecdadcedacbadededadbbdecbecaccbbcabeaaebddcecedcdacdaededdcbdccabbbddaeceaacdbeabbccdeddcecdbeacdcdcadcdeeedacbedbdebbeceebeadecbabddbadbaabbcecbaaceaeabbddeedaaeaebebeccccacdeceebbdcdbabadccdcadcdaccbceccacedabadeaeddcbcabedbeebcebaaddaaacddecedbccdddbacbeccceebbcdbceaceacaeccceeabccbeabdeacaceedbcceadcbdbecebaccdbcedeccadcadecebbcedeabcabaaedadddbceabbebdbdacbbdbebbbccceaaacbceebeadbdbcebbeabaddcabcacdecdebababaeeccdcaecaaaacbabbcbebaddeadeecceebdceceeeebcbbadeabdcddcdaddeeccebcbeebaedaeeebeaeeaeabaeededabebdaddeecaecaabbabadcbeeebdcababbaacecaaecaecdbabddededdeccbedadaaebadccdabbbadcabcadecbbdeeebeedcbbbbbcaebcdaabbbabbdbaecababcccdeeedcbcdcccdeaeabbabeccbaebbeddcededadcbdebdcadcbadbdadcaedaaadaceececaeeddcadbceaddbbebbdeaddeabebcddddcdedecbabcbbabbaadaebcabadeebdbbaceeededdaddcabeadbcbcadaababecacebbddaebeeaaeeaaeabceaadccaabaacacacaddcaaaaddedcabdaaeddcbcabcbeeebcedacbacbebedaecbdecaadabcdbcdeeeeecccbaccccbbacdcaabbbeebdbebebbedbcaaceaaeedaeacabeddccebcaadbcaaedbbcbccccabcaadaeabdbcdbcaeedebbadccbdacbecdddceadeebdbaeaaecceaecaabbeeccabacbabdaabdbecebacbabeaacaeeaeacdcdbebccebbaaccecacdadacdddcedccbcdbdcaadaebdebabebbaecaccbdcbaebbcaaebddcbacbbddecdacaadccabcdbbebdcaedabebebccdadbdbdacbeeccbecbaedadabdaacadddeeeedcebbeaaeeeebaecebbeadceebcccabcaeecdddaacdadecbababdeaeabccceaacdacebeaaaedabaecbebceeceddbcdaaeaecebccceabddccbbeaceeceaaadccbcbbdaecedaaedabdcbbaadbbdcaecebcbbdaebcbbeeadccacedeaeaebcdaddaeacacdaebdbaebcbdbdceddaaaddcaabddabcaeadecacaecbaeedcdceddbabbccddbcbecdbaeecdebbaadebcdaaeddaabedbaadbbedbbabbccdcbbbbcaccdaddadbddccbbaddadacdabbeadceadcebbedadadceacdbdcadbaabceeaebcababbbdcddbaccdddcdbebedcaceabdcdbacacbbdcccdadaecdcddaeceadeeadadceceaaddeeeadceeadceedceeaacbacabbbdceaddbacdbaebccdddcdbeceeeecdbddbcacabbabecdaeceddebcbeeddcbbacddcdebdbdddedadcbacbedecbadbdccbadbdeadabebdcbadbabbabddaeddcaaddddebebbbacdbbecccacbaedebeeadbdbaeaddbaacbeeaaacbabaacbdbcdedcdccbcbdcceabeedbadbbbdeceecdceaccbeceedecaadcecadbeddceeeccaceaccbccceccedbceeccabcadbbcbedaebddebabedbdccecdebaeeeaeabdccaeecaaedebbdeadbbeddbaccdbadcdebbdbbbcbcabdceaebdddcbdbcacaaebecbcddddeadaecdbaedbdcabecbbbddebadedbeccbdeeacdaddeabcedcbcedeebeaedceedadadcabebdddadcebaaceedbeabeebeadaebdababcacaecdcceedaacaacaecbcdaceedabeccebdedeebdcbbdabddceaeadcdcddccbbebabecedbccedcdbcecabeecbcbeaccdbcbadeadaceadcadeabdcadeeedaeedbedeedcbecddaaadaebedadabaeeabecadaeabcaaeecaaadbcbeddbedebababbcdccbdeeaadaebbcddcdabbaabaedeeadbcdebdabdeeccbeeeeeddaaeedaceddbacacbcedecbacbaaaacacbeadcaabbdadaaabadaaeecaadbaedcabbcbcdcbceccaebaddaceaeebaabecccbccbddaccddccbabeadccdadeecceadbadeddeaeedcbacbadacbdcebaeeceaaadbaceccdbbbbcecdccaadaecbbedcccdddadcebbbccdbbbbdcbaeababbaeedeaeeaebeabaeddbecbaabbcccacdabcceabcceccdabdccebedbcacabdeeecdaddeddebdcbcdcebbeeddbbdbacdedbdbdeddbaadaebaebccdadbebecdceeabbdbebcaaebcacaeecbadcbadecceeacbadedbeecabdeddbedaeccbdadcdccdcbeecaaecdcaeddbeebdbdecbdbdedbebbcddaebaeaabdbdebccdabceeebacbbdeebdedacceeadebbabddcaaebacdbbbbbcbcaebabdaddacdcbeebbbcaddccacbeedbccddaccdaecabdebeaecabceceddbcebdcaeebbdaadbceaeeabdaaedccdaceeaddaaebdccbcabbcaaceeeedddedabbdaaaeaedccdedabcbcaeadaecbdbeaecdedbbcbbebdcdaccddbededdcaabaeeaebbbbdcaecbaceebbceceddbaaeededdeaedcdccccaaeaceabdbcecbaddecdbaceecabddabdcddaeebdedeebcaddeccabddacbdecaccbacccadbccdadeadbedaddbbddbceededbaacccbcddceaddcabadbedcccbbadbeaaaeeecdcadaaeadbbedebbbebbbbecbbdcdacebaaddeccdadbcadacacddebabddabdaadeaceaaaebbdaedddccacbcdedaccbbddebbaecdebeeabdcbdedbdcedaaaeebcaacbddbedcbabdebeaaecebcacbeddbcaaadeabdebebeadecaaedeeeacaebdbbdcdcbcceaeabcdbacadacdaedecccacbabbcadcaedeeaddddecaedceaaacdeaacecaeaecaaaebbbccaddbddcacbaabbdabcbbaaaaaebcbeacbdadaacdbacbaebabcabdecdbbbbebcdbddbecbeeebeadcebedeceeacaddacbaeeceebdbedaaddbcdeeaeebbdcccaededddecadbceeadbadeebccabaecaaabceeaccaeabebcbdadacaebbeeeccceebabdbceaccadacbceeabcedbdbadceccdabcadbdeacbaeecbaaccdadbadedabaaaedaabaebabcabccdeebedcdacbccadcbbbacebdceeaaaccdbaaecbaadddeadcacababbbcaddabceccddadeecdbeadeebdceebacedaadbacbcedcbaeaddadbbbacecabdeddbdbdeddcbdebcddadededccccaccccdbbbceceaabebdcaaaacbdcacdcdedababaaadaacbebdbecdeacbcaaebddeeebedcacbdbeeeacbabcaabecbbeecddbdecabdcbbbdcdaaedacdbacdedaaaaceacaeddbcdaaeaadacaaaceadbadadddcacdcceabacebeebddbbeaebbdabeaadbcaebaaebccbcddaaadbdaaceadacaeccecebecabbbcdedbaaaabdedceaddbdddcaaeeeaaeadececacebcdebaeaaddccbdababadbbdbabdbccbedeeeceeeaeaeaebacbebaaabbdbecacdcdbabbbbdaeceebebbbaebdbcdedbaeaeeedeedbaaebdbbdcbbcabbcebdaeebeedaeccecdeebbaeededbbdedabddecaadddedddbccaccebdbccacaddcebbaeaebaadebcadcbaeadcdcaaeedadccbeabecaadccaacdecaddcccacaabeadecaeadacacaecabddeeecbaeaaaebdaccdedcabebeacedcdbbddbcedaeabeabccbcebeeedbabecdddcaabeacaddccdccdcadddeabdedbdcdeadbcdabebabdcbecbebceaeeceaabdeeebbecdbaeebbaeccbadbdadceeccebbebcecadaaceaeebabddddbeebcaecabdbdeaeeecbddbedaacdacacbbaabcadbceabccccabcbbaddabcddbeaedacaceccbdddaabcebdecaacaeddeddebdadacceeebebcbcbceaeecabbeaecedaddaaebceeaeeadbccbdbdacadddeeabdbbdcabccadeecdbdbecacccadaddbeedcccadcebddccdeadcdeddcececaeaebcbadbdcbaadeedbddcccaabcebbbbbccdbdccdecaabeeebabadddbcdbcaacbadcbabeaeccbcdedccbbadedabebcedeaddbcbceaaabddaddedcbcbbcbbceeaeccbbcdeeedacdedccaccbdbcdabcbedaeaacdbadedabbdcadbdbddccecaeccadcddddcbeeceecaccadacccdaddaeeaaedaeecceddcabebdbccbeddeeeacdeaaaccaaaabccdbabdcabdaabaecacbbdddbadececabcceabceeaebdebbbdabadddacdaeeabaacdacabdaaeaeacedccdcabacbcbaacbaacedcaacdabccbdbddcbedcbbebcebebceeebeaeddcadeecebedabeacaecdedacbedebbdccedddbdcecceabebebedcbdbdccbadccacddcadaaceaeceacbddbdabebdddeadaebeecddceecebdbcbbdaaabececeabebdcaedabaeeeceadcedbabeaceedbdeaecaaaacdeabddcacedeeaaacccedadcacccdaecaacaddeababacbeacdddbacddaacaacdcedbcdcdebedbdebdeacdddccbecccedcedddbcbbdadebbdddcbbcadbbedebdabcabaddabbcddacebdedaeeabdeecdeeabddabebdaeebbecbcbeaddcdbdcdaaedeeeeeeaabadebddeaaaeeaaacddaaedeceeeeddbcaeaebcaaabdebddddacbbcbbeacbbacadebaabbaabdedecceabbedeccceddbacaeebaabeddadcbbbdeadadebbceacddeebbcecbddcccaacbcbeeedbdbcbddececcaeedeeebcedbceedbbcecdddcbdbbddddadbadadcbabdbabeeaabddecadbabedccdaedbeddcbdeebcbdbbaecebcadcbdaaeaddcdebbbbecbdabebecdcebbdcdccadeceeedceaaeabdcdcdeacdedcdccaeaedbaeaedbdecdbbddcaebdaeadbceedebccdeeeeeecdceadabbdedbcacaeacbacaaaadecaaeadbcacdebeeabbadbdaaabddaccdabecabddabeebcebbdcdceeccbcebccbacdcdeebaabaaedaadcacddeedaecabccdcebcbeedebacaabbaeeddebbbaaeaeabceadcebcebeaebdcdbeaababebddaeacbcdeedabecbbcdcaaabdaaabeaadeaaacdadaadeadcebaddeaaeecbcbcdeaacbdaeaeeabaaeedbcaecebbccedecccacdddacbbbbabeeabeababdbadadbeaaeaaeadebeaecacbceabedcbbabedebceabdcbcaceceeadacebcdbeaedbeddcecceccdabcaddbbbacccddacbeebaccceddaaaaaecdedecddbabaccdceacccecaeebcebbaabdcaeeadddcebaddbbbeebcadbbabcdeabeecadaeeaadeadeccbcdccdcbbbbedbaeeebedcdcceaacbcaeedcdaaeeabedcbdddeedeccedbbcedaadebaebacccadcadebdecdcadedeaccdddccabbedbdebddedbccebcdbccbbebdcbdadbedbacedecddbedaaeeaedaaeccaccbadbaaadaddacdbbebaaaccdddecaddccbbdddcdaeeebccadbaabdccebacecbbbecebbdbbaedeebaabccdcebcacbaecddbbecdccbaadbeaabdaddacbbddeacaedbcaeaaabddecccaabebebebebcedccaaeeeaaeaebbcebbcbbbbcbbcccdbdababaeabaaccbdbdbaabbebdcaaaeebeaecceddadddbecbcdaddabdbabacddbaddddddbbecdeabaeabdbaadccbedceeeabceeaedebabdbbaaccedcbaeacbbacbbbaedaccaaabbbcbbddebbcdddededaccddcdadeedacdbedbdbaaeaabedddcbccceecbccbcebbbeecacaedceadcdbbeaebbacdeaedbbccdcbacecdeaeedcabbcdedcdcbcadbeccecbcebeadedebecbecddeecbabacddecccdacbeabcecdaebcabaddaddecedecdccddcededbbceabcebbaadaebececcedeecccdeeabeebcddaabcbddbcbcceeddebceecdbceacceceddceaabbaceeeddecbaedbbecbdcbaaeeccadabaebaaeddcbddcedbdbbdbacbceddcadccbcbaacddeabbecccabdcaabeacbebdaaccbadebadddabdeeecadeebecacacdcbcdccdbbbbacddbccceeccdaacabbbeeeaeedbbebddedddeedbaaacdbdeaeeddeadccdcddbbdcadbcacdeeccbaadbbcaddabdadedcedecedcecabdccbdcabebbacdccebaeaddbbebdedeaedeaedcaedcebedeebeadeeecdcdddcdbbabbdcbdcdeeadbdddaceeeabebaecdceddbbccdaaeccadaaddccabececdeeaecebbabcccedbeeeeaecbaecaadceedabacdcccddbbebddaebaecaebcaceebecdcabaaddddccbebdaabdadddcddbbbaeeccbeabbecbdeacadcdbcebbaedadebabccdcaccaebcbaeeabdcbbdbacccdeebdbbdcbbcbbcedceabccbabebbadaacaaebacbdacdecbaddacbebeccdaebaeccdeedcbdaaebaaddebccedbebcaedeaebceebadddcbbcbbabbbddbcaccccbcabbdbdbeeeeaacbbabcaddebcdeadccaccaaaaacbcecdccacdbadeecccbddbdcadacdcdceaebaeaeedabbccdddebecddaebddccccdababdaedeeeadeaaccbcccbdaeeedcbbcedbebbbdecbcbaedaebbbeebbaabdbbebaceaedbbcdbbadbadbebdacdceeeebbeadbadadaeaaacdbabdcbbaacabddeabcdadecdeddadbcdeadadedabebdabeaddecdccebcacaeabccceeeeaebaaeebdbcddbcecebbbbdeadaeeddcbedcbeeabeeedddbbadcabdeaeeebbaabdcdeaddbbaceaddeedabbdbbaebdbdaaaeabeadaccaedabdcddbebaecebcbbecbeecbccbbbdacadebcbeeeccdeacbbecaeccebeeccdddadeaaebcaeecaceaadddddcdeedcbecadaabedaebcebabeabdccccbbeeaaeecccaeebdcbadbacebedaccbceadbcedcceaaedddccbacabddcdadbeeacbadeabeadaabcaabbacecdccbedcddcbdeedbcbccdeeabbaceaeddbccdceccbabcdebbaaaebdeaedcadbcbccdecacddecbabbadabbeaecceceeaddbeedbbabeeeeccaedcbdbccaebcaaebbabceaaadbaceebbedccddcbbaddbbdecadddacdedbcedeadbacaceecdbccedaacaadceedddceaddebceddaaaaccecccbcecaceacddcaddadeaecbacdaaddcdbdeeddcaabbadceadcedaecceaeeddedaddabeadbbddadddabddcecbbbddbebddeceabebadebedeeeabeabaaadeccaadadeeebbadddccbedcbedceceaeaceddddbaadbbedadcecdedeedaeaabedabcbbeaddcaedacadcdeddaabdcbacbcbacabdcacbadadabecedcbbabdbaedacbcdecdcececcbecebcebbceddeaabdcadceaaeeaadeacaacecbcbaeeacacaedeccddaaebccdbebacdedddbbccaccdaadeccdbabbbbbdebcbdeecaaceaaeecddaaecaaaecaccaaaeaaabacacddccaecbbededbebabcacceebeeacbbaaddeeccebcabecbbdbdeacaadddbcbadbacdeddcdedcabdcaaeaaaaacaeaebcbacbcdddddaabceaebbadbcdecebaacdebdaacdeeacabceccecdcbbaddbdcbdbccbbddccaaaadbbecbaeddcaacaedcbdbcaadadcdeeeaeaccdeddcedaeacaecdeebebeddcdadbaebdaceeebebebadaecabcdeacaaeebacbcdcdbcbaadeeacebccceaeeeddbbbdcbbcbedededacceacbddcdbbceabdbbeddddebddccabadbcdbbdceeaacdbccdbbabccbbecebbdeeebdaedaeebdacccdcddaeeabacacacedbdbccdeccaaeaaeadccabddecaecedabbcbbbaadabcbccccccbeeeceedbbceebdbacccaadabedadabeabbdbaddabecdbbdbcddddebbecbcbddeddcacaacadedabccbecbdaeccbeacbaaaadcbaccdeaeadccbbdbebdccdbadcbbbbccaaebbdaeccddbddeacedbbceccaceeebbababacedcebaacddceecaaceeeadadebbbeeacdbcdaecccbcaacbcecaebddbecbbcebdbcdbbbdaadbeaaadceedbabbcbddebcbaaeaacacecaaacaacbbbdcaebcdebdcdbcdbecabbccedddedaccadedcadcbdbbdbdeaeaabadeecbcaadccbccdeaabcbeeaeedabecdbeeeecbeeeccaeeeeacbeabccedeadbbdbaeecbcccebbaedecdbedcdbdddbbbbdcddeebdecaadabcdcaaaebdddcbadabcdcdcdceaeacdddaeaaccbeebebbcabdaeaeeaacbbabdbecccaecddacadccbdbaedddadaeacdeabbedcbeceabebeabddbacdcadeadbaaddaccceaeccddeeeeabaddcebdcdacedecacadcabecaebecbcccbbbddddaedaeecdeacaddbaadbaaeddebddbbeeeeaecdbbeecebeaddcadedbbbedeaccbadaaabaebdbcccccdbbdddaaaaddcbdbcbcdbcabeedbeeaabebacdaaebababdcaceccadcacbbceacedeaaecbdcccbbaebabcbeeacbebabebdadcaaadbcecaddccbdbaeecadcadbacadadbaaeecadbeecbccbebeddcbdedeacbccebaaeeaadcbaacbacdaacceaeacaecbabcdceceecddebaccaacaeadcacdaeeecbdbbebaeadcebbccbcbaadddaeedaaacdbccbcebbcdadcaacebdaeeacadccebceecdedecebccbcddbbbdbcadcabccbebbbdebadedcddaccbddeacbecbabcdaddeeebceadaaeebcaeccccdaebebdaacbbdabdcdebceccabaccceabbbcaeeedeadcedbccceabcbdbdcdcbeeebbdbecaaaabedbeeadcddbaceebdaaadbdabdccccccdcaccbbcacaddbaadcdaaacacaaededeaeeabacbebddebdddeecdceaabcbcbdaddddceedbbcbcebbbeadccbdeccdedadcbcabdadedcdaeccceedcbaeccaaddbcebbdeedbdeccedddbbcbeecebeeaaddabeacaaaeaccbaaebbdbcaabaecaadccbdebbbbebcdeabdabdbbebcaeedcdeadcdbcccbbbeeadabecdccedccaedaaccbdcbadebcdbeedbbeeaedbebdaeedabaacccdebbceacbbcdecbcacdcaebddedadacbdaceaaeedabccaecdceaabceacbacebbacacccebebbabccdddeaececebeabcaecbaacabdeebcdacbbbdababbaeecaeabbeecaccebaddebabbcedeacbcebaccdbbbbebcbbccbebbcceeaaecbcbdaddddeeddddbececabbaeeabdbeadddbabeacbecebeeedebeedacebdbaccbbcacaccbdeebddbdddcedaaebbbebebdbddebabacaaeaeeecedcccbceebeeaeaaddeecdabedcaaeecdcbacaeabacbbdeaebeecbbdddedbadeaeebbbadbeacabcacdddcecedbcdbeeccddaeedbbbceedcbeddaaeabebbabbacabdeadcadbcacebdbbbebcbcdedaabdbedecccaedaeaeacbcdaddddeeeadebbecbedbeaddcdbadeebbcababbabbcacabbcccebebeedddbdeeaeeebdbddcbaeacbcbdadaeadccaccdbedbbbeacbbebbdeabbedceaedbeacdcceabecbcbaeeddccacbcbccacdaaaddceccddbeaccccaccedbbbacaddebcedbebcbdbccecdeedbaceaebbcacccecdbabdcdecbebaebbaaaaedbcdacaabbeaabcccddbaeaccdbbabadedcdaacadcdceeaeadaadccaadbcaaaeecdaebaccaebadabbcecdeabceacdbadddbbabbabdddccbbccecdcddeaccbacaceaeacabdaaaaabadebecbcccbbedcaecdbabdbdeddebaaeacdbaeeccbdbccabdebbdebaccccebbbedbbcbacebeaadcbbacbbbaeeeeadabaadcbbebdbaccadbddaddccedaedcecaabedeaadbbeedbadcdcbecbcbdddddaaceadaadccceeadacbcacbeceacabdbeabeccbcddccabdcdbaceedaacecacccbceecbddaaedcebcaabeceaeabdbacebaceaaebedaeedceccedbaadaddddcbbdbddaadaeaaaabeccdebebcceacadacaeeadaccdcbcaeaeeeabbcecddddccedeeadcdbacadbbdaaccdacdbbdbcacdccababdcaadaeedaddacdadabecabcaaebbbceedeaaccbdccdcecdddcbecbbdcedceeacaeddebbcccdebedaebcadddaaceeeddcdcdbcccbbbaabcdcddcbebebdecbececaeebaedbacaaaccbcaebeaebeaebacdacebacbdaecdadabaaaeecdeeabbceeacccddccdbbeacaeeddbcecbbbaaaeaedcedbbceceeeeaabcbabaccaaeaeccdacbbaebaaaeaabdaececbdbbbaeaceaabbeebdecbeacbcaadbaceceeadbcbadbdccdaeddecacabcaeedcbcecbdaeeccaaabaaeecdebbbadccdcbbaceddaccdaaaeaecbaeaabaddeecbaeaadcdeeebcadbaacbbbbcecdccabbdabceeebdcadeeaacbebaaaceeabecbedaaceaabcadedbcbaaaebadccebdeeadaddeaecadccebcabbacceaacbcccecbdcbbcbbabcaaeaacabedbdaaccbedabaedeecebbecdecadeedcaeecceceaaeaeebdaddaeeaaababadbcdabacaceddebaccbcedbddeaceecaebedadeadddadcbdaeabbdcebdcabeedcadceaadcecbbebcebecbdbbbdbedbddbdeacbacceeaaceabaedebdacbaaaeeacabeebbabecaccecccccacdaaecabebdeadabdcecdcbacbecaedaadaeaeabedbebbbecaebbedacccbcdaadcbacceccdbdecdecbacbaecccdaddadbcbddcecbbcbbaebadccaeebebdeddbcaebeddeacacacbcddbbabeebcbccaeabdcaccedbbbbbaeadadebaadaedccbeadcdcccbcedcacbceaabaaedbebbaabbccccdcaceedaddccbcaddcbdcbacdbeecdcadebbbbdbecebbbdbdaaacdccdedbedccbbaadcdebecbabaeebbdedeebdaabedcbcdcebcaeeeabdbcebcdbeeabbdadbeaedebbddecacbadbdbcaeddbdeebcacbbdcbcbbceccbcebddebbeedebadcbeadeacaebabeaceabadabaebdeedbeabeabadbbaedeeecbbababeedaacacdcecbadebdeabcdedbabebdccdbaaedabdbaacceeaaedddcedcaaacacabdeabbcabddbcbeeadeeedecdecbbeececbbeceaeaceccedbcadeceeeaaebcdbededdadabcbecdeebbbecedabdbabdadeeeaeddaebacdeebdaebdeacecaccacaddbbdebbcaddeadebaaceaabceeeaebeacecaeeeabccedacddedeacbddebbdaadaebbdecbccdbdcaaaddbdebdccaedabecacbdaeeeadbcceabedbaeaedabaaaebebebcddcedccdeeccabadedeeeccebeacbccbbbcbecabbadabccbcdebabcccadcdbceaaaaaaebbbbcedaacacbbeaecaabcedbbcebabdaadedebddeacbbadbdaeaddbeaededadebdbedabbdceccccddecbedabbaadaeccbcdacaecbebbaabaccbcbdacbcedadbeeedeacdceeeeccacbebdeaabdbbedebeecabcdbaeddacddedeabbaaeeccbaeedecbddaedababaddceedbddcdecedaaeeededcdbacdcecaddaaeebcaedecdabcdbbbacceabecabdaabeeeececcddcbabdedcadedaeadcaaadeacecceebddcabdcadcbaccadbeadccadddcbeecebacbdeebdcdcadaccdbdeeccdacdcdacccdacdabdabebcdcdaeeccdcaceecbbbdebeabddcbeaeacbcaeaacebdcccabaacaadebcdbcbdbdaddabccabcdcdaebabcdadcdcdabcebcbdaabaceadddabacabbbabaddadadedecdedddcbccbbabecabdbcdececcaedeaaaccccebddccbdcdcadbdbaaaeaedebdebecacceadbaccdddecaeacbbcdbbacabebaeedbbdcbebbbdcdeaaaeecbbadaccbcddbdbcdceaadebcdedddcdccccdceeedcdeadbcaeecbdedbaebbddddcbbabbdddbaaedaacedaceebbabcbcacbdecbcadaabedeeabbdbacbbcdacbdeccebbcaadadbcbdaecabcaaeabbebaedbddbdbdbacccccbaebdebdabcabcaebdabeddbedaaabcaedbdeddddaccedcedbaaddcbcbcecdeaedcdeadebbdceadbbababcbcadbebcecadeccdcabedbbaddecebaeaabaeccdddddedccdeceaeeddbdccbdaedcbdcdbbdceeddcdbcdadabededaeaebabcedaaddaddceadaaaabadaadacbdbdbdebbebecbcadcbbbcdbdbdeaaccddcaddaeaeabeabdaeecebcdbaaccceebbaaacaabdcdacededcddccddeeeaeebeaecebdedcecbbdabdcecbabbaaaacdcbcddeedaacdcbebbbcbdaadecbdebcabacbdacddebecbabddaeeeaaaadcdaacadddcacabbeccaeadabecabcacbeacedbbadacbcdcecdbadaedbabcccbdbdddecbdecdebccccdbbdbbcbbdaecdcaebedeccbbbcceaceebcecccbddeaacecdabdcdccaaacedcbcabebdaacebbdccededddbecbecddbbcedceceacaddddbdaaaeeaaaeeabdddadadbcdcddebbecbbdcdcaceadcbdcacccdeaeeabeedcaaaaaddaacbdaadcdcaadedcedadaddebddccddcadeebeaaeeddbeaeceddbecbedadceeadaeecabdcdaabddacbedceeaaeacdbbcecedceeddcbeecacaacbddbaedcecdccabbccddbcddceaddebdcadebccadbedaeaeccaaeddbdecbbbbeedeccaedeeaaddacebcebaecaeaddaaeabeebbacccccbbceabbcdacddbedeebbbccacdcbbdedaeacceecdbccaccbeddabbbedebbcdacdbbbbbcbebedaacaddbcbabbacedaadcdaacdcaebeeaebbecacadaedceadcaddbecbceadcaedebdcaeadccaccabaadbebababcdceaccbaedcdbbcecdeedaaaecedbaeebbceeeadbdcbebcdaeebbcbdcdcbedbbabacebbaebccdaedcababadbcaeceababdcbedaacbceaaececcddbebbcdebbaeeeaabcaecdcebcdcdaaaebdabbeedceabcebdaecaeeaaadbaacaddedbeaaabbbccaacaaeecceeaebbeeabeddbabeebceaaeecddcaaeeaddeacdebebcbcdbaaacbbedacccecedccbcaecbaabbcacebedcdbdbbdacbbcdbdaecadbdaaddadadacedeeecbdabbeebcddaabcabbbedabdcdacddbaaddabbdecebbbcedcdbebaeadcbbccedddeecdeddbbaaaddacabdceaccbcccdcdaaecbaeaebdabcacdbaeabccbabaabbbcbbadccbeaddbecbcddbcdcdcedabcabdecabdbcaeebcdbddeeabddcaabeebaeeeedcbbadcdcdbabdabdcebcebacabcbbbdbbecdeadbbdaabbdbadbcaaeaabdeaabeeedbdedececaebabacaecbbdbadaaadbbecbabbcadbadbbebaebbbbddbcababecadabcacaccdadcdceceaeaeeeecabbcccccecbbecbcebbcccebaabdddddeccdccebecddeaaccdacccbaeeadcbbcacebadaeddabdbceababaabacaedbcdbcbebbbbdccbebebceebcaecdaabebdeecaecbbdacbbadedbbccbbbdbecbecbbceaaeeeccbcabdecbbecdbbddbddececedcbdbadaaaedbdbdbcdccdcdbeecedbdeecedeadcbbcdbabaddebdbcaeabedbbcebacdeecaaebbcbdcddcabccedcebabacdebacadaebcecbdacaebcaaacdabbdbcedbbbcddccaeaaddbbcdaebebcbadbbdeddebdaeeabacbbcbaedebddbecbbceacddbeacebaccddebaccecaebbeadddddbadbadcebeccbdabdccaacecdbbdbdacddeebbbcbeaeebabebabdbcbbabbdaddbcdaadcebeaedadebceeeabecaedcaabaaabccaaadcbdaecccdadbaaadebaabcebbbbbdddeadadccddbeebcbcaeedceadbdbeabcdcdabcdacbaacbaccbecdacecccebbbdadccadebeccadcdddecaddeaeadceedebdcebaddedcaabbcedbbcebddbeaaabadeaeddabdeecbeedacebcccbecacbebedddbebeecacdddaabedbadaedcdaebaebaecedcecbeecddecaccacaaddcccbdcadbcdaedabcedebcebbddceccddbcdcbdcbdebabbaccaaeddcbbccdcbeabadacbdaabacdacadabaebaddcabeeddccbacdceccebeeadddbbabaaadcecbbcbebcdabcabeccbbccadcdadacbdddeaecdbebedaabdddabbecaebbbeaedabbdcecbeeadaaaaedeaccecdebeaaecdcecabbabedaeebdebdedecaaebddaacebdcababdcedbebaacdcaeeecddcbaabcacdedebdededcddceccdbecbbaebabaccaceedbeedbbcebeeeabbaeebbbcdaaabaddadbacbabeeedbebcecaeceeeabbdcbbedcaddcdecdaaaaaddababcdacaceadeeeebcdcaccaaeeddddbaceeddebbaeeccadabbaacbcedceeecbdbedbdaddcdcccdeedeedbedbcdeebdbdbdedaebbabdbbaddddaccebcdeeadcadadcecddaccbcaedbebeaccadeedeceabccbbcdcedcdaadadbedadedeebcbeeacaceeebaaedacecccbdacdbebabaedbacaecddeccbbdcbdcabaecadcbadbecabdcbcecccbddacbebdbecbcabdbceaccbdcecabebdcaabbadcdecbadedcabeadcdeadbbecadbddaebceebbcbacacbccaaaceddeadcbdbdedaeacabeadeeababbaebecabddcabeaebedaabcbaeccadbeaadbeebdeeabdbaacabbbaadedebbdeceecadaaebbcbceeceebbedddacdcaeabdeaeeeeebdcedecdeddccaabcabddeabccadccdbccacabccaeadcebebeebaceccebebdbdeccddbadedbecbabdadeedaeeacbddaecabeccbcaeaadedcdeccdcceddedbeadcccaccecbcaacecadeceeebbbaaaeeeeeaadbcacaccadedaebcceebceaacdcdbaaccbdbdaeeaebeebdcaececebbbecbadbbeecbacededdaedbaeddbeadcdacdcbcbbccbcbdeabdebdedcddbedeedcbbbcebabccbcddecccaeadaaeeadceedeccdcdbcaebabbcdacbdcceebeccacceacbecbdedaedbbdeecbeaabcdbbedededdbeabdbaadbbedcbcebadecedbacbcdeeecddddaceeadedadbcccbbbeabecddcdadcaabecdeaebcdeccacddddebeecbbceaabecbadadcaabaebcadeabebbdedcaedbadceeeadccacccbabeaaacdaacaebabdacdeeedaedddedbcbeaccdedaeabcaecbceceecbabbeaaeeedbbceccadeababacdeddebbddbeebbccdedaecccaaadbdecbeecaadbdedbdeaedbdeeaadbbcecdbeedadbebbdebadccecccdecbebcdacaaadcdcaaeebcbcbcddbbdadaceccddacaeeecddcabcbccacaebbaaabbeddccacabcdaebddccbeccabbdeaecbabeebebdeadcaaedeccaedabdbaeaadbdbdabececdbbaeaeecceeabaaeeccaeabdaaecaacaedcaacadcbadcbcdbebbabebaaeeacddbacebcaebddbebddcdbdccdeaccaebeccdebdcdecebbbcacbeaebbabaedcbabeacceddaeeaadddccbcebadaaebeeccbbebccaabeebeddaaaccedcbcdccecdaceddbcdacbcbcbacaeceabaaebbaeceaeddbdedaaedcbbbbaedbecceebaceaaeeaaeaaeceaebabedceacdabbbaacedbbddacbebaeedaddedacadcbcdcebaeceececccacacbbecaebdcdeeeddccecaacdadcabebdcdecebbadeaecdceacadaedeaedbdcabdedbacbbabdbaacdbbaadeeabeacdaccaecbdbbcbddabcbbdeebbcdcecdcdbbeddadaacdddbdadeeaecbbaabedbedcbaeccbbabbeaddbbbcecbbeaaeeeedbdbbbeecabcddbecdddabeeeaaaeebdceababbccaedebcedacbbabdedeabdaccedcbbceaadcaeebabddededcaaebdcaeabbdbabbbeeabcebeceabeadceccbdabdecdbbaedcebcedaedaaeacebeeecddcdddbaadbbecdbaacaeeaadbbaaeaadbcdedddcaacdbaabbcbabacabbdbeabbcabdaceadbbdddabbeebcceadbbdddbbbbadcbcdccadecadcdeebeabedeeeecabcadebcaadeaeaeebacccbdcbabeabbceccebabddecbadaccbcbaeaaedacbeaeeddccdacebddceabbebbcbbeddcccdeeabacdbbbecaecddbccbdccdebeadeedadaddabdadeabeacbadbddddeeadcdebccedcedbbdeecdabceeceacdbbcddceacdbcbeccdcedbaadbacceecdaeaaaaabbcceedbecbcbebcaabcadeebdebedaeacabcccaaecdeccecbbbdadeabeebacaaeacebeedcedbeddadaceedbaadeabcaebbdccecbccbaeceeaacbcadecdcbbabaabbcbebeadaeacaeeccbaccecbbaaddcdcceceaeeadeabeabdaaddbeeaebbcdeceddcadedacedaecdbadceabddceecbbadcbacbcebcbadaeceeddaaceabbceadbabddebcadcdadabeebdadcecaaccbeddcaebbcbbedaecabeedcebbcacabbadbeceeedddcdaaaaaebdaceadaedccddbdeecaceecbadbebeecbabebbaadeebdcbdedaaaeeddcebccddbbccbecbecbdbeaecbbbabcaebabebbbbcaecdaeaeddebabeceaeadddcbcbeeddadddeddadeaceeadebceeccacecbacaddacaeaecabddceadebbacdadccdeecdacceabadbdcbccbdcddebddbebcdccbcedadbcbaebeeedbdaecbbcccadcdccaacaeedecdddcbbddeebcebabcdacbbcadecbddddddebbebaaaddeecaceccdbcabcadbacbbceabdcacabcbeeedeceeebceecbcdaeabdabbdeecadaddccdebeeabdcaaaebbdecbbedbbdbadcaaeebcddbaabbedbdaadeddbcbebdddabaabbaccacbadbdcbcebeebddeeeeccbbcdcecaeebbbadddcacddcdadcdcbdcbbdbdaabdbcdeaebdcbbcecbcdaeadedcaaebdacdecceacbebcbcabcbdbbeaeaadabaedbcddeaaecebddcdcdbcbaadbdacbbcccddcdacddbebddbcebecabcecdddeceebcaccdebeacccebddedbeeabcceebddbaacacaccbcbbdeedeaaadbcabaacbabcbbdeccdcccceebecaccecbeddcadacdcaaeedcaeebcdaeaaeabadcdacebcededebecaadcbebeacccdbedacbbbdbacbedacebeaeeacaedacdaadccbdaeaddacdaeebdadbdbaabbccddecbbbeeadebcbbbddadaeabbbdaaadaacabeaaeeddebaaceeeebbeadbcedaeecbadaeceeeabdaddbddebaaaddaaacadadbcddddcaebedddcdcbacacebecdcaecbaeaaaaaceebbcbdaecedccaabdccdadcbbecadeaacdadbbacdddaeabddeeeaaebcbdbbcbbcedbcbeaedeacacdcecaaaaeddccaccccdedccbecdcedaeeecbadbaacaaadceaaedabbccebbbaabbcdabacaeccbadebcdbdcbcaebedbbebcbceeaabbaeabbeaabdcbbaeecdbdbbeeecacdecdcceebbacbddbdcaaadcbbdceaabaddaceeddbcceededdadaeecbcccbcdeaebaecddacedebaaaaeebcdcabbbaedaeecbaeedeeecaabbabadbecbbadecaeaecaacbaebcadedcdbceaeddbadbcbaecdbdacabccbcceeebcadbcbbddcccaccdeedaadcbacaeccceedeaadbcdeacbbcbaacdaadcadcbcbeeddccdcddeceeaedebbebdecdcbeaceddebaabdaadaaabcccbacaacdaabadeddcaddccbaaecacadcdbbbcdcddbebbccbeeaadbdeaabddccebaedbaabbdebdbcdaccbbedebecabcddddebaddadbecaaaeadededebbedaaceedbadaeadcadddabeaddbadbaaadbcbdaaddcbdededaccaceaacaebbcadcceacbadaaeebbcbbcdbadcdeccceceaeecbedcdaeedbddabebebdbeadbcdcbadbeeabeabdacadcdbcdaaecebebeceabecbaaadccaddcccaebccdbbbbdeacbdadcdeebbdaeacabbdbdbbaddbdbcbbcaecdbcaeaabeaadbebecdbabbbecbbbcaaeaccdeeeecdbeebcacccebeecdaccabeebccbccdceeaaacedaececbbcadcaaccedccbcbbadbadcbaddceacdccaedeededcecabbcedabadbcbecaedcbecbccbdebeabaedcbaeebebbebaabbebdacdcaeaacabaeecbacdcebcebaaaadaaceecedcabaeecabceddbdeadeeedababedeabaceceaceadbbedbecebbcacdcceeacadbcacbcecccaeabdcaddaabbcaedadbbddbebebedcddceeabdeabdecebaecccaedadecbbbddbdadecbdeeddcaebbcdbcecdbaaaeaeccbdddedaacecadacbcababbddbecabeabeaadaedadedbdebaabbcdadcbbacecdddccceccaecdeddababccaedabdadedceaedaccaebbeaadaacdceecdeaabbcadbcecdabddcabdebbcecbbdcaceedeacbdbabebecebaaebcbbbecedddeaabecebbaecdbbecddabaeaedacacbdbdecaaebcaaaaaecabebbeebeaddbbdaeeddabdedccaabdbcecadeacebedecdbaceaaabacccecebbeccccdabaaeaabebbaededddbbacaeebabbdecbbbadcbeedeeeaecddbabbbaddbadbaaebcedbbeebecacabeeeaeabbdaceeebaebedaddaeadcaddbbeeaedeaaccddbcbdbaeacecbdbaacadcabeebcecbbcbebccbacdebcdcdacaaeeccaeccebbedaedacdddbdabdccbcddabbdccbaaeadccbdddcbcabedcaeedbaadedcdacebcccaeabcabeecededdcbaeeaecdbbdaaeeabebcbedaaeacbaddbeedeccaccbdaeddebccdeaabdbeadababedacaeceedccbecabadcaabbbacbcdabcbcddecccddcdaabbeaabdceecddbbdbccabaaacbdcddcdaddedcccdbcdeadbaeddcdaabdabadaacccdecdacaecccecaadcaecbdabbebdccddbabaeeacedeadcaeadedcbdcbdabbbeadcccacaacbecebeadaeeecaebddceceedcedcedabdabaabbccbeeaacbacacdaaacabadcbabdccbbebcedcabbddadaedaebcacabedbaaeddddaeeebcabdbeaaaebdbadaccaabbcbaddecdaebdcebbeccbcbadbbbdcdbeeeecdbbabeabbdacaccbeabbbcaebbbcdecabcddedababcccaeeebccecacaeeedbeadedebbaabbeabebdbcadceeebeabccebdbcebccbcbcdbdcccedcbbbcadcceeeeddaccbadbcdcbbaabbdadaceebdccbbccabdbeaaecdebeaeecbcbeebcdbcbadeaabbdbdaddbacbcdcdebeacaaddcdedcdcbbbcbeadaaabbdaaddedcdcebcbeccebedddbaaeadcdeadecedbbbbebeecabdebeeedebbdbbcdceecdaaebeeaaeeedcbcdaaabdadbdeecbadaadabdbdcaaeabaebbbcaaebeeabdaaddcceeeabdbabacdeeccdddddbaadbebebebadcbebcdacebcdccdcbdbcddbeaadbbadaadcdcdebababaeedcaeadbbacadebcdcbeabeacccdcddccbdeaecbabcbecddacbeaccaacbabaebaccedbdbcdebabeacbecceaaacdbedbcadddebcabeeeecaddebdcdaabadedacbabbbbeeacbabaaeceaedaccdcecbebcabaabebadbbcddbadcabcddbaddccadcedcbebdddbebaaebedabdaceccdecaaeecaecbbbcaebeccadcebedeeaecceaeecdbaeabdacababdadbddaaadeacbadadceacedbeaedbcbaacbceccedbdebdeecedbedceccebdbcddedcebbbaeadbaceedacbabceedccebdecbaabddceaeedaedecdecedeebcebbdeaadcacadaaebaacacdcbacacddbaeadcaabbebdbcdeceacabeedeaccaebeceecbdaabaecaadecececaaccaeadbbbedcddebbcebbcdbeeedeaeecdabcbbebdaecaadadaabeacebbacccbcdacecbaabceddccbbeadaceeeaebccacebdddcebaccbedcaeceedcdbaceabadcebbddcebaabdebdbebddddeabadedddbbbaacbbecebbecebecdabcdebcbbaaebadaebecddedbbcccebbccbdddcbdbeacecabdeeddceebaabdeedaedcbbedbeceadddbdcecdaaebbeeededbabedccebdebbeeceebdedeabdecdddddcdbeeabeccedcebdadbbdbcdbcdeaeadbabadeaccbeedddecbcdaabddeacaaaedeedacbbacabebcabeeaadebeeabececacdcacceaddccbebeedaaeaebeecebbeaecabecdeaaecddcadaeabaabededbbdbbcbaccbabcedcbcdbecdaecadacabcbaceddbceebbddeeeeaccccaaaddadcdcacaeebcaddccbcecdeeeeaabeecdbdabeabeebebebebdbebacdcbdbebdbaccabccdeceececeaeccdeeccabeacabceadabbedcedcdadcbcbdcdacbbababcccaeadbcccdbcadbcebbcaadbbdaabceecdecbadaabecdcedabedbddecdabbabdadaeccddecbaeaeadbdbdbddcdbbadadddcedebacbadcaeccadaaeebedaceabadbcabceeaeaecbbdbaeaaaeeeedcbedacdabdbcacaeeddceebebeceddddabacceedadbaddccbaadacdbdcbeeaedcebdeebdecdeebeaacccbeedcbeeaabdcebbddbbcdcebbdabedeabcbeecbdeabecbaddadccaaccebdbcabaaaadcabbdcaadcebebacaaeebadbcbaadbeceaacceabebecbadeccdadacbeaeeadddadcbbaeedbddaacdcdadeddadaaeeddcebbaaeacabcdabddcaadbdebddedcccbdebdadaecabdebdaeddeacebaaadaabbbeeceaeebaaceeeadeeacbdcacabbbaabedddacdceacaabacccedcacacdebadadacaeeeddbcebbacdbbdecbcbdeadccadbdbadedecceeccadcaeaaaacdbaacdbdaedbcadbbdcbbeceecedcccacaceaebdacbcecbceaadeccecbadddcdebabdeeeadabecddeaccbadbedcbbeccedadebcdedecbcaeebedbadcbdbdebadadccbeaababaaecebabdcecebceacccacabbebeeddbcbddeceabbdbeddbdbbdadaebadaccababbecbccbdbddcdaecdecdcdaabbdddbecaabbaeeaaaeaeebbadcaeeccececaedbbceaaaceebdbeaeecbeabeecbdcaaaeeadaeebbbadeecadbabeeacdaaacabbdaaeeecedabadbeadbebeebddbebdbccadccacdbbbbabbdececcdeacbeddbbbeadcadacddbdeaaeceabceacaadcaeddacbeddecaeadcdeaddecdcdbeeadbabddcdbecdceacdcdddecececebdbaadbcbccecbcbdabeccaebbdedccbbbbedcdcaecbbeeebcaeaecaeaeabecedcccabcaeeaeecdecbcdbcbdacdceabebaabaedbbaedbeceddbeeedbedbacbcabcbdedbebcacaedadeeacbcecdbbcdcbcdeeecedceabbdbacceaaecaaeabecbaadedabdcedeabddceacaaaacedccbcceccbadbabaeaeebabcedebcaacbdcabddabdcbbdeceecdeaccddadbaccadedadecdcbebddeadcaedededbedecdaacbbddbbbabeecdabdbbcbbceadbdcdaeedbbbbacaadeeaaebcdcaaaeacbaeeeebaacbeacdccceedbbececbcceedaaaebcadabaaeccbcdecdcdebaeeeaaadabcbeddabccdcebdccbcaeacbbdcdabaaaecebeedbecaacbcecadabbcaaaeadcdecebdededbdacaaedcaebeebebedcabdcdceeedcebeeabadeecbbcadabecbedaccbebedaabcaadacbbbebedeeebbdbbaedecdeeacccccebbccdbcccbaeaedaaecdebaaeddbcebbebdbbacedbbdeeacacceacdebcedabdedcbecbeadaeccebbedddaacebbcaccbcabebccbdeaeacceadbadaebbbaccabdbedbdabebdebaeccadbeeedeccdaaeadbababbccddedbcaaecacccebcdaaddcdebdbeedeebacdeedbecabedcddbacbaddbbcecbceabeaeeebcdbdcdeaebbebcceddeddedababdadddaaeccecdcabddcdddbdaadeccadeecbbecbbdeeceebaabeedbaecebbccdbcedaddabeedbcceebceeeebcdeabaccecacdbaeaacdbecbceabdaabbdeabadeeccdeedcdebaccebaaadedbedbbebaacdabddabcbcaedebccddebdacacaaceccbceeddcbcaebcacaacebdecdeecdceecdccacdddaccdbeeeceaecababeebedbbdaabbdbccacccdcbdacdebeccbdbdaeecddcdaccccacccbdabdddaecddeaaecaaccbbadcedbecaabadccacecdcadceecbbbadedccbdaabaebccaecacadaeaeeaccecabdeaaaedaabdaeebdededddabbeabedcbdbdebadbcbcebcebbddbacedcaccadcdccaeabadaddebecabdddaaaaadbbaccbbdedcddcdabcebabbaaadeaeabeedcacaedaccacbcedcdacadcebedabdbbceecacdcbebcbecceeaeabbcbeecdeadecbcdaeeddacbedcceabdabecbddadeaacedebecddabcaeacbeeebdeceaacecccecdbeebcbbcbaaeececedcdaecbcbddbbbecbddadbcadeedaacccdedcabcdaaabbcdccceddcaeccddbedeababaabaeaabccaaaddcebccaabacccdbcbabebdceccabecaecdcddcbedbdbcbcedbbbcceedaaadcadedbaeaaeaeceebdedeaebbeeeaaceeddbabdadeeecaaebebbacccbabeebbaeeedadebdaeaaadcedddeeceeaeccceadaaebaccadbdebcebddebbaaecbadaddccaceddbeaacebaeccbeebbadbdbcececdeabdbdeedaaeaaedcccbabbeddeeceaccdcaabcceeacbccdbaadbcdcddecdeecbeddbbeddaedaaeeacbbdbbebecceebaadeccdacdcbccbeececaedacbbcbdcaccdbbaacaadcbbedbdadccabdabeeadddbceadeacabcddadecedeccebdabcabaedbaccdeadcebacbcaceebadcaeaedecdaecbaaccbeedeaebbebdaebacbeecabbeeedcdadeadeaaaaeeedceacdbddcabeeecceebeabebcccbccecbadbacbeeaacaadaaaaceadbccacabddcdbbbeeaedabccbdaddaeabeedadcccbcecdedbaebcbebbaedbcdccdeddcabcbacedcbdaeecbeddadcadeebdeabadaccddbaadacddabdbeedcbbaceeadeadbcaedbccccccebcdeabaaedbaadedacdaaeeeededccbcabcaabdbddcabddacacecdeebedaaccdddbeccaeeccaaebeaaacecbbaadaddceebeaebbdaaecceeceaabeddeebddcaabbedaecdecaebceabedeabcdcbdeaceaacddddeacbebeddcdcddceecccbacecacdaaeeabbacdaedceecadabdacdaeeccaccacaebbcaecbdbaeeacaeeaaeceeccbcbbbbcbcacaaeeaaaaeebbdceabdcbbaaaebadecdcdebdcaceebacddaadaedcbeebeeedaacadaaadaeadadedacacccbcdedcbcadababebbddccebaeadabadecceccaeeecadbadaccaabeddecbecedeadaccbedbceadeadbceeeedabbdeadabeebccadacbedbaaacbaacbbeebaabeadcceccdcbaeaeeecaaccbacccaabcbceecbeecbddeeabbbedaeecacbbcecadaaceeceebaecceccaddbddaedcbbaadadbeacecbecabcbedecbedecdacedccdebedcdeecebcdbcdebdaabbcbadcabcaebdacceeaebccacacabdcecbeeabebeeddebcaaadddaaabacebdecacaeadcbaaecaecdbadcedebebdcddbbdedecbcddbadadbdbcaedececddbdadaedbcdcadbdcacbaddeddcdcedddebddedcddacbdacabbbeecbcacebcabbadccdcedcbbaedebdbcbabacccaecdedddebdeeedbbadcaaeacdbaeaedaabcbccaaadcbbbcdcbabbdaddbdcbbeccbacaebdbecbcddccaacabcdcbaddabdecdcaaabcdabecbdcbbeacaaaadcccbbadecddbddecedacdabdabadbecdbecdaddccdddcbabdeabcbdddcddcbbbadbdebceeebddacebbdbccbeadeabeecbedaebbeaadeaeebecebedebcbeacccddeacebebedcdbceecbecedddaedaddeeabdccbbccebbaaaabcccbbdcbebacddbcaecacbdcdddedbbdddeaadbadababaeacedbebdededdadaabdbdbccaedacacdeaaebddcceecbdaeddebbaadecbdbcecddadeabaaaddeacbabdabdbbebdeedbbeeddaeacbbedbeecbceaeacdbacbeedbabbedededebbcaddcccddedcdbbecbbaadacbdbcbdbcabccabedecaededddbebbddcbdaddbcddeddbbedcedcdadeddeeedbedeeceeaddacbeeeccbebbeedebbcbceebedbbbbcceaadbebabddabbcdbcadbcbcccedeaaaacaaceadeebbbbcecdcdbbeeaededebabbdceeaacbbdeeadcdadbdbeaccdceecacbcababeaaeeacbcdabddccedebaccbedbdbdeebeaacedbbeacbbcebddabebdbedcecdacebcccebedbeecdaabdbaadddcdeeecbcddecdeedebaeacddedcaedeaadcbdceeecaeadbbdeddccaabeebbdddbaebedebdaaabbbacbbdabcbaccddeaedcabcbadbcbcacdabceeaceaabbceeaecdacdbaddecebabeddabddcabcbedbeccceecaeedddbceaebbaebbabcadabeacebaabaddeeaecebccadcbeccedeeecddcaadeaaebebaacdacedddcdbebecbadeeabaebcabdaadbabcedeabbbbebbaadacdbeedbbbadbcecdadecdceedabeecdaedcdbabecbcaaaadbcbbaaddeecaeaabeadbeddebdcbdbaaecaebbbecededbadbbecaacdeecdcddbdedccacebbabcbcdddadadbcecdadaaeecadaebabeabdacedacbdceddbcdbcedcdacbdaadaaeaccceddccaadabeaaddebdaddbccecbaedcedbcbdedbaddbadcaeaaadeeebedccebcbcaaebabedaebbbdbaeecddceccececdbebcbadbeceeebdceabadaacecaecdebcadcbecbaaeedccadbaedbddbacaadccaddcbbbeaacbbaaaceaeeebadddbceaaeecbebccecedbbceeeacbabceaadabbddbceeaccaddeaeceeeeabccaaebedcaccebdccadaebbdeecadcbebdbcbeabeabeddcdaccbaedebabbdaadeeddbeabceecddecbadddacaacdabddcbedccbdeaccecaaabaebaacdcceedbcccbbabebaaddbbcacceddcbabcbdbbaebbbbadcbcdebcdbaeeccbadbaccacccaecadbcddeaeacecbdadbdbeeddecadcecdcdebcbcaabbabddcbedcecacabecbeccdaacbebaccaeaedbceccbcecbebedcbaaddebadcacacbdcadebccecbbacaeeedeabdebcbddaebaeaecccaadedccacbaebedacacaceeaddcdcaadbcdbddebdbbbbecdcaeeeddecbbcdeebcddaeeaebabbdaaaacbabebcabebbdacbadadcbdccdbddccaadeeadddccbddaabdbbeaeddbbbdcbdcbcbacccbeaeabdddbecbbbcabcabdedddacaaadbcdbaaabdadccdcdabbadcededcdcbaacdccacacdcedcdacedbcdbbcbedcbdaebcabbdababdeadccccbeeabbeeebdbcaeaeddbcdeaecdbeacaaacdddaaabedbccbbedbcbccbcccdbdbbbadecbeeeeceadbaedcbdcdcacebabdedceaeeadbbeaacdedcaebbeeaabdecaacedcabccceccacaccbedcacbedbccbebabbceeecdaacabdaecceeacbeeebebbcccdebccadeacdeacbdcdbbaaeaadbbccacaabeeeabbcebdebcbcdceddebcecadabaaaacdbeacdcbbbaeaadbebbbdedbeddaecdbeceddaeededdaccccbcaccadcaedacbecaecddbdbedadcbeeadaeacdecdbdaeccdadcebddeebabecceebecdaaddeeceababcacdedccaddbccbbbcaebebaaacecddeaedceebaaaebdbdbaeaeacdabdecdaecadceaadeadbcedecddabebeacbcedabbdddceccecccdddebbceabbcacdccadababcdecbaaddaddcaaaceacaaacaceeccbaeadeadcbdbbeccceeabadcbadeebbcdacdebeeecbbbdacebcbadccaaeccddceaadeeeccdecedbeaadddededbcdebadcaadaebbeecbabeadccddceaeddabccdcaaadcacecbcbabddbbadedbceacacaaaabeebcbededecbbdbaddecbcbcbccdedeecedcdeccddcdaebccdacaecedddcedddcbaacbbbdcedddedccaaebabbbbebedcaddedccdcacadeccdedbdddeddacbecbbdbeacebdeaacadeadedabebcdbabdddcccebabbeeaaccdceacaeabdeabeacccbadccabbbcabcbadbbabaddbeccaacabebceeeeababaedeceedebbdbcaedbcedadaeabaddaabedcbcdcdbadcaabaaaeecbcacdcacbcecbcdcdcaeecdaaecdbbedcabecebaeaedcedaedddabcbdcacbeabccbaaeedebdadbcecbdbecaddabcbceaecbdbbabbeaeadaabdadcdddddeadedcaeccdcbbbeddacbdebbcdcabdeedaccdbbecdedbcdacddccddebccaabbcbbecbcebdacacaeceebcceecdbabbebcedccdbeceacaccdbddbceecceddbaadabaccabceadedaaadeaeaadedebeceabcbbbdebebceddaaecdbbedaceacbdcbdadbbadeadeeccdabcbdaecbbdddadcdaebbadacedebdeccabdacadddbcadecaeddbdabeecaeaebeccdbbdecbcbdeaedaaccdbccbcabedcdbaabdeecdaeedcdababdcddbdcaaaeabbeaeeaeddabaadbbbdabccdcedcdecaccdbbcaeacdbbaceeedaadbeebdaceecdbabddedcecdbbbbeeeadcbcadcccadbbbdcbbbabaccdaeedeaceebecddaeaeeadccddbcbcaaaabddcaaabccaabcabbddcbeadbccebdbdcaaedceecdaadbecacdbeceaabebcdebaaaecdbaeecaabeaebaacadedcdeedacbebbcecdcccaeaaaabbbdabdcbacbeabbcaddcbcbadaecddbadbacdaaaccdbeaabdbecdaeaacceaabeaecbaeadddeddcedbdbeaabeaccdbbdabaadbebcbadebacadebacceecceabbdebcebeecdcebaaceabcaadbecdaadedcbbcedbcbbeeedbcaddebabeddadeddbdaaaaacdaddcaeaebceaedbddaaebaccecadebbbadccccdcccccadbeaeebacaababdcaebbbbaedceeeeabcabcdcbccddcbbceedcdbcdcedbcbababdbedbacadedbbcceecacebebacaecadaebceddeebddcbccceeedcdeaacabecdedbbcadbdbbaecddbabebcecdbccbdedeaddaebbddadbdcbeeceaeecdabaeceadcacdcebaeededceebdebeaecdccbadbbadeabdbbadaaedccabcadcedcbbdbbdaeedaebedadeddcdeccaddabbdcadcdaadbbcadaeeaebebaedceebbbeeecddcecbaabaaacdcaabdeceedbacebdbbdaaecccacbcceaebcbdeaebeaddeecebaabdedbadcadbcedbeeeecacdaebbdcbeccbabaaeeceedaaedabeedebbcedbccacddbedaeaebbadbeabcbadddbaecdababecbcbbccbceebdaceeaebacdacdcedbddecbcabdbeacedaacaaacceedeaadbddaaeacecbcaccabbbbabcadebedebaedbcbceebdcbeaadcaabeddbcaeaddbdcceaabaddecceadeacacccdceddcecbbbaececdabbbeaceceadaadbceebbcecbbeabaaaacaeeecbaabbedbcdeacdbadabbddcccbddcadceddbecaaeeedbaeaadbccddbeeadbadedeeaceedabccddaebcdadcabeebcaebebccddbdeacdcaeecebbdaadabddacbebbabcabacdeeebcebbcccdbbccceebcdcbaddeeabbcbdecedebaccecebeaebcaaedddddabaeddbcabeecbeeadbbbebbddaccccdbdeaaaedcdeebdaadacaecdbecbcabbbccebeadccadbcbcceeecebceaedacdbcdeceebcecedeeedcbaabaededabaddabadedbbcbabecedecbbadacbbdbbbdbaedeedbbebadccecabcacbeccacecaadbcdceeddcbbdeacddebdcebdaacaeeeacbdedbbaceacabcececadcedbcceedcecaecacecedacdceceddedebbbdbdedbacdcaadecacbccaaadedcbacaadcbdcbeebbbcbcceccbbcaabcbeadadbbdaeabaadaebcacacdcdaccbaecdadcbbabebccaabbccdeebaecccbbbcedaddbcdcaacbdaecabedbedadddbebdebcbcbdaaeddabcecadcebcdadeeeeeeaecbdbdbbcceccddaeeacdcbbdcdddeeeeadaeddbaedaeeededcecceaaaceccbeccaaaaaedbdbbaacbbdbeebeacbbdbebdcbddebddcacdeeaebdcddadcbbdecdcebedcebbedbeededebbbcdecdcedadbeaaeeebcbdaaadcaadcbcecceeadabceeedbccabcaebacadceacedccdeccdbbaadccbdababeccbbbaaeebbdcccccbeeeaaaabceeaecaabcddbbcceabdcddbecdbacbbbcbcdedbbbaaedeeacaccbcabeadbcddeeeacdcaeddaaabeacedbbcddcbbeaadaaacabbccababdcdcdecadadebcbaaecebeacdabbdbcaebdbddbdbaeaadeeeacbeccbddbbadcdadbcebbadaaeecddaeccdeabedabddebdcbddebbcaaeddbaaeaeccebcdaecaacddbdeebdeceacabebeecebedcaedceeeedbebcbccceedbbaaeebeaddeabcabddedbdaeccbdacaabadebadadddaccceaccaaaaabaeeeceeebaebdeddcaacdededcebbbccbddcaaebdbaeaabbcbbdadcdebeccdabebdedecaedeebadddacbccaabedcacecbeabbdbeecbecbaeeadacdabedabcdecadaabdcedaadecbcccccdababaebcebdcbbcbaaeeddacaeddaadeccadbbddabeaeabcdeaedbcecabedbdbcdabcaeacbdeceadaceacdebbbbaacbedcdcebeadbdcaedebbdbcbbcebeaddcbcadbeddcdbeccdadececcecddcacbeebaccaedbbbcabbdecbcdbabbecaddebebbedcdbdebbbabbecaebacbbbcededdbbeececeebdaeaeedbedceebddacbdeacdedaecdecebceddcddecbdebbeeabebedeeadcacabddbcdccbbeeaedaaddcedbdeebceeebdbbccebeedbddbddcbdedccabdabcedcecebeddceecbebdbeedecddbcbeacedbdabdcabdceeddceabacbcbaccacadddedabadaedbdeecddcceaeedececbbcebebbbdaebacdebbcebeeccccccdadacaddbeeccaeddddcdcbadadacccbbdcdaeedcacaedccbdaceddebddebcadeedebeacdcccecebeabcbbaabadabadaeedcaacbcbcaaedbcdbbdeaeedabbeddcecbeedebdbacbebdbadbddccbcdaaaaddceabeebcabebbaeeceedecaadecedebedeaceaeedcbeddcbecebeedabaecbcbaabdcdccbccdedeeeadaabbabbecbecdbaadbdecdbbaaacaddddcdbccecebdcdbaccaedaaeadedecdaccabcccebbbccbbeacccceaadcdbadeeecbbcaaddbccbadecbdebcbdbaaedbabeedeeeccdebaadbcccbeeaaebcadcabcbbddabccabcbcbeaedadebecdecdddcdaacdadcdbdaddeabceeacbdcbdecdaaaedeedbdbeccedbbbcbeeecabaeebbddadcabdbececdbaaddaccaccebebeaacaaacbbbdbcacbaacdeddacdcaaebecadeaccdaccabecabdaddcecbaaedbbcbacddccebcebcdacecaabcdbeedeecdbcbeccacbcebbabcbbeacdbbccedddaceebacacecaedceeeeeadcdebcbdadeaacacdaddedcdabedaadadbadcbaddbeeeabcdcaadeecdabbbaeccbcbdacdcaceabdeecbedebbeecabbceaacaecbeabdacaecbdaacccbecbdbdacdccabcabdccecbeaceecebacbeaecbadcdecdbeeeddeaacdacbcaedeabedadeddeadedccaaecbeabbbdaaedeebbadceceaeccccdaaaaaaaddeecaeecdceeddebedaaeecaadbdbbbdeecbbadebbecacebaebabdeeddeabdaecededdccaabeccdebdedbdbbeebbbdddceaacaacabbbabeebdcaedcbeabddaeaadbabedcdcddededbbebecdbddcbdecedaccccedceddbbdaeddacaeaeedbedebacebaaddaeacdcdccbeabdaebeececaceedebbbcebaecadadbcddbcabddaaccacbaddabbbbeacababbeebbecabebbebcbaeddaadacbcedddcadcdbceaebeddecbeddeacdacaaeaecdacbdeaaedbeeccbaaebeaceeaabbbcacbebdcddaeccceebbbabecadbcdabeccbddcddedcbecebbbeeddeeabdcaadeaaeeddabbcdaeccddbbeaaaaedddebaceecddaececcdbeeebaacbabceeedbecacdcdabbabceddcbbeeccaeaacccccbccabecbcaabcecaebdeaacabeebebabeebcebaeecccbaacabcbbbcaaeaeabbbdbdcdcdaadeaebceabbeeadaeabbcadcdceebddeabbcacebbbececedccbdeaceebbeeeabceeeaeeebcdcecabaabdbdddebcadbdeebeacbcaceeacbcbaddaddabceaebdbdebcaeeceeeedaedabcededadebcabeaceeaedcbdddbeceeeaccdbceacedcbebbbcddddcababdeeaebedecdedbbbcccbbcebebcbbedecedeeeacbbdbecadbdcaadaacceddbcaabcbeeddababaaaaedcdaeedbbabcbabcbeedabeddaaadedcaaeaababecbabaaeedeabbadddceebceecebdcadddcaacaeaeeeecdaeabaedcdcbaeecdaacabcbeccdaabdaadecbbecaedbadbcacbdcacacabdbcecedadebaddcbcdcbcbedbcccddcdbabcebbedabdadccacbcacbaceddcaabdeaaeecaecdbcbaccecebaecbbdcccabbccadadeadbbeddddcdcedbdebaacdbdcbcaaacdccaddedbbbbdadbcdaaecbcbddbbdeccdebdaebcbedacebbbadcaabecdcdadbccbbadcaddbceabdddeccdadaacadccbedbebabcadedbeadaccdddeabccbdedcbbeaebeacceccdbcccccdebcbecaacebedaabeeebdbcedabeccbababecbecdabcbcacdddacbababbeeecaeabaadcdbbbadebaaeadeecbcdacbcbbcacaecacbeaeedebeaeceecbddeaddbeebacdbeeaebbbeebcceddaadeddcddbadcceccaccdeadaadababaccecbceabaacecbecdcbcacbcbcbdaedcbecddaeebbeeaeccabceeaabbeabdeacdccbaacedddeeacdbacdaaecbbaebedeecbcbeeaccdeededbdeeedadbbececabccdcbbaecbadcdcadceabcdebbedaacacbdedcaeecaadddaddcbcbcbeabebceeedcdaddeeecccadaaacacdccaaebcbaddecbabeaaaccaeacedebecbaaecdaebedcedadcdcdbccddcedbabaeeacdedddceacbcaccacaccbdddccaeabcedadbddbaaabeddaaeaebcaaabddcecdbebbcaadabadeaedcbbeccbceddeccbbeecccaabebdabcaecebdcdaeacacacbacabebebcbaadabbaebedabcddbbcdadababaebccbeddcedabbaacdadececdddacceadabcbddcadbbeeebcaaacaecaedeaaeebceeddbeecedaeabeeddebaceedacceddacddcaccaacaeebbbadddccdadeaabacbdeeeaabbdcbacbeecbeddaddeebacbacdeabdccdeddadeddadcdebeebedbeacadaccdecddbaabcedbbcbadbacceccadbebdecacbadbdaabebacadabeaaabdedcbebdeceaeabedcaacccbddcdaeadedcbabceddddaecddedaeaacedbaacccaaceddbbdedcaebeeedcabdedbceaaeeaccdddeeaeecdaeceeddceeccbecdcbbaecbbacbbdcbbeecaedcaaccccaadcaadeadccdaccdacbbacebdebebbceccdbcdeebdebbdacddadbbabadabcedaecdcbddcecadeacbdabbddabdbadedeedcbdcabedbddecbeaccbcaedcebabdedcdebcdcbcbbacecbadeacbdbbbbeedbbcdeccccacabccbeaccbadceabcaaadeeadbcecaeceaebabcddacacbecdacbdbddbcbbabeeddeccecacdadcceddbcccebbdccbbcbcdaacdacdbdebabeccbcdebcddbaedbbdebcccdbcdaebdcaabeccceebdcaabecaeebbcbdcbdaaacbebbacbbeaacdbecdadceabdadaceaecdedcbaadacceccebabdcaadcccaabbcdedbcbcebcebacadacbbbeeaeeeccbcdaaadeeddabeacbdeeabdcbaabadaaebdeccaedacdcdaedeedbdaeabcdbedaabdbbebdccbedbbbdbceacddcedcceabebecedeeadadddeeecaecdecbcbceebbbecdedbccecccdddaeedadeeaecceaaeacebbdadcabcbbbcddbbdcecacedccbbcbdbbecceddcaadecbdcddacebbbeabadeccbcadedadebedbdedaacaeccbcdbddbbdabdabecdcacaddcdacceaeaacadcabdedccbdbcdaeeeeeeaceeacdaaaedbdcdaabdadadcceebbbbdebacbabbcdeabbcbaeadcdedbabdacacaeaccbcaabbddcbaebebeceedcddadcccbbadbcabcebdaecaccddccdbceadadedebaddbacdcadbdaedcbaccbacbbebaaebecebacbadbccbadcbacbbaddbbeebccaecacdbacacbabcbabdceacccbcbebababacbcecedacacabcdeebdedbaaaddeccccabdeaebbcebbcbebbccccbdebbababbabbbcdecbdaceedbbedddeadeddceeadcbdbcadcbbdadcdbaaacbebddcdabdadbccdabedadedacdbaadddeddcaeaabdecbedbbcddecdcebbdceebebcebdbbbbacddadbebaaaeabebddbdbabdcadebaabacabeaacceedcaeadbbcccceaabbbdbccaaeddebddedcddbdadcddbcaaddbedbbabdecbeabddeaabcacabcbecdeaabccaeccecdcebabbadddadcddbaecaceedddbdccdacdbebdabdbaaccacbcedbbbdcccecebaaecaddbaecaabccaebaeecdcdddededdededecebbadbbcbdcccdecdcdecdacaacddecbabdddbddcbcccadebceeacecbbaecebadadaccdeeddcaedbeadeeeedceedcbdbaacddcacbcbccbaabbacaeaaadebeadcceeedcacbebbcadbcdddecceeedaaecdabdabdcbbcdbcdcddcecdeeceeccebdbabedcddcaddacedebcaceaacccbdabcbcecebcbaabbdbbacedddbeaddaedeacaebcacebebcddacbbbaccedabeabdcbebdeedadbceabaeeebbaaebecdebaadeeaaeebedcaabdddeaecddbaeabddeecbaeaacabaacbedeccdaddeeebbdccccedbdeddacdedddbaedeedaecbbececbdbeceacbccaebcbccaaecdadaceedabebeedbdaebacddebdeecacbbbdabcaddbbcedcebacbcddbdeadcdedeebaeddcebccdaaeacacdeeabccbcbecceeacbbdabbacebbbabbedebdceedeeedbeceabaecaeebadcdebbdebcddadabdcaeeeaddeeeeecbdcaedabaddddbccbacbdadbddebbdccdaebadedaedaedcddcadeaeeddaaaaebeedccdbacacaacbeddeaeccdccdacdbccbecdedcdabcecadcaabcdeecbadadbbaebaecaccdbeddccdeadacccbaabdcdbadbdaddecbcbebbdecbaadeeddcacdddeedededcebbbabadeecdedbaaebbaaabceaeebeeaeddceaaaebadbbaceeaeaceccadbbaebbebdbeddcaccbceabbdeabdbddcbdacbdeaabeddbcbaadbceccceecdaeddbeeddeaadbdaadbecacbccdbceeaadbabcccaccaccbaceddeeddebcdcdccdadbebaeaeacdbdaaebdababaabaecabcecadcdaacaacbcbcabbbbcbadcbbccaeccddbeaccaaabcdeaecbdcccabcaacbcabcabceecdbcdaaabbcabdcbbdcdedaeceacebeebebadcbdbccccabbbbaddeddcebdeccbccecaceaceeedaabaabadabdbeeacbacbcdabbabdceebedcbaeeacbeeceebdcaaaedebaaddcbbccbeddabcdcbbcaeabdcbcdbbbabcbeaadbceadadcaeceadbaebdcbedbedeeaacebaacdeadedccdbddeeeadbaaadcccadecaceddedceeabebbabeacdaeacbbddaebebdeaaeebeeccbaeeddaeceaebcbaaecebcdaebebaaddaacdebccbedadebabeabdbbdabecaedadaaddbeacebabddcbcbbadaddddcaeecccbecaceebacaebabdaaccdcdabaaecccdcecebadcaaccabaeaadececceaaaabbddbeebabbdcdbbcebbcdabdddecbbeaaaaadccbbaaccdddaacdbbbbaaaacbbacbabdbabcdeaaeeaeeabebecbcdaadbecaddabcecbbedcaabebdcbebaeebdaaeecbacadbdbdbcbaebaeededbdebbecccadbcaccaaecccaeecdececccecbddabaeacdcaceadcdcbddcdbdacdaeecbbeeeaecceaeaadecaabddacdcdababcaebbbcecadbbdabdbccabeabacacecbaabbacddbbbceeaeaaccbbeeadeceddccbcdaabbadadbeebadcddaeaeccaeedabebbedccbadacecccabcbdbdeceacaeadcebdbdecebebcccdcaddaebccdccececbedccbabdcedeabccdbdaeababddbbbbdecddcaebaaacdeacbaeaaedcdcaeaedecdccabdebedcdcdeceddeaaddccdbddccccedaadddeabeadaeddddedbcbcabbdebdacbdecacbeecbbbbbadccdaddebccaaaadbdbadedcbbeadbecaaceceddbcebaacdcabeeacdbcaadadeacaeebbeceabdccdeaaedadaeebeedeaaabeccbcbcaecdadeeebbbaddabdbcdecedadaaceeacccbbcbeeccaabbaeaeabddacebdcbaebeadbebdbabeabcabbcadcddbcccbbddaeaeabeeacbcbbaedaeeedebaccbdeadaebcbedeeadebebacccdbbdecddabbebabbdbecddcaedebdaaddedbdedeaabbaaeeebdaeebdbcbcedceccaecedbaadcaaaebbaadcaaaecebabaebdbdbdceebdeddeccedabcabccabaeceebadbdbeadecbadbbaeadabacaadbabdccddbeddeabaacaeeaedbeebabbacbecddeddecacaddbceecbdcaccebdbebabcecbdedebdbebabaecdcccacbdadbdceccddcabebaadeeccbdcedaceeecebbadbaecaebccdeebabdacbadbaacebbbacacaabbccadccbecdaccebaaaadcbccebdceadaceebeebdeebaaebbddabeaabaabdaccacbcdcddccbaadbdecbaddbdbccaadeaeebeaabdbabeccaddbdaddadeddbcbcebabaabdeaeacbbdebbccdbeedeecabdebdebbcdaebaaeaaeecceabcdeaaaccaebedeeaeacbcaeecdeeadccdceeaeeeeeabbdadbcdbadbabedeabbdbceccdcdabacdbabbdbcaebabbddceaaaaecebaaddacabadaeabbadecdeebcbcbdeedadcdddccceeadecdaaeccbccdadbbeadececaaedbbacbeddbcbdedecadcbeeaeedeaecbeaaedcacaebabaacdebeeaddcaeadaaeebbdbebcbccebbaabddacbeddceedbbaeeaeddacdacecebccebcaedbaccaaeeacdabbcaaaedeaddcdabbbdecedbaceeeabbbccdabeaabccbceadbdccdbddeccdaceedbdadaebecbcdbbeedaadabcddccddbbdabdbecaabaadaddcaeceddeecdaaddbebebbdcdebebbcacbaebbeebcbaaaedaeebaaaabcddcbeeeccaaaedceaaecdaaeceeecaebbebcaeeeeccdeaeeebbbebdddcbbbcdebedecaaaaaeedacededabbdadadddbeebedeecdeebecbccdbdbceeabdceacaaedadeadecddcdedccebccbebeceeaeaacbcccbcaddabeacdedceceaacdacbdebecbeeaabdcbdcebcdeceaddcbadbdbedebbacdcccbebebdeeadeaabaeadaaeddcdebbaaeececececcdedbaabddeaccaaabcdcacddcdcebcaacddabaeedaccbdaeceaccddadeccbdbcddbcabbbebedaddebaacacbecebdcdceaeebdbacaabaeaacdcabebdeccaaaeceedeceddcdbdccaadadeccdcccdcacaeaecddcdaecddbdbaedaacdcbecceebeccdaccbdcdcacecbdabeadcebceeaeceebdeecabbcdcbadaacbabbeceeccddadcddadcaeadcebccaaeddbbcdbcadebaaecdbccacaacbecedbbbeabadbaadcaeabeacbddedbccaacbaedabbcbcaddceacdccaedcedebcbebddddacecdcbebaedccdbecbececececcaadecbaccbcaccdbedcaccaceaaabbbaddeecbbeaecbabcdaeaedcbbbedeaeaabbdbebaaadaaaacaeaedadedeeedbbcabecbdaeaaccbbcebdadadecdeadbeedaeebececcacdbcecbddeebbcceaedbaeadbdddcdbdaeeaaccccdcdeedbeecdecaaadacccacccbdebddbecdadbbeaaadadcbadebbbebeeaaacbabaccebebdbcdbaebdddbdedbdbdeeeeaeabadccacbdeceeeedaecdbbabbddbaeacadbeacadcccdcbdcbdaccebecccbaeedbaececdaddbbebdbccdbaebacbbeebdacceadacddcaabdcebccbcaaabadeecbcaadddbcceccbeacbbccebcebaedcccabbecbabceebaabdbcdeddbeecadabeecadcaebaaccbdedcebeedbedaaaecbdcadbbdebccecdbabeacbdabedcbabbededbaaeddecedacccddcccbabdbdebcbbdabdeaedaddcddadababeeeedbeacddebaddeaebeeaadbccdacbbbbccbccbacbeabebdedaaecebabdedbcbecdbeddceedeedecbdecabbcdcbeebccbabcebaaddeedcacbddebedeecaaaeddbadadabcbabdabdddbcddbaeddbaaabbbedaadeccecddaadbcaabdaeeebdbaddabeacdcbadccabeeccdddaebbbaabcecceccdeedcdecaabbebdeeccaeabbeadcdeecdedceabadceabdaceecaededabcadbbadccbaacececdbaabbdedbcccdeedaddbedcbcaaebeaceadedeccdabbebcdaeeceacdccbcedaeebccedeeebccbedbeeeebdbaedcaeecbbeaabbdeeabcdecbecacacadedccbbbdcbbbbeeadbddabddecceabdceaaddabdeeebcbbceddeeabebcdbccbdeedeeddcebceeedebececcedeabacebeddecdaedaadeddcdcddabdaccaaedabcdaebacebebbedcaeebccaededceedaebececdcdcaceacdacbbdeceabceeacbabebeeadecccbdddbceeedaedddaccdebbbababaadcbcddcbdeedababcdcadaadadbacdcbbbabbcebcaaeaaaeabeabeeaacaddccaaadcadaaacbedeedaaecdcacdbcaaaaacbadcccbaadbcacbaccaacbceabdcbabbebdedbcceabcddebbeccdcecbedceedebcddecaeeedaebaaceadaecbddcacdaedbabeedddadaeeebdcdbbbadbedbaebcedbaabdabdededebdddeadeabebdceddbaedddbccceaacceddcadbaaadbddaabdddeeccbbbddabdedeeebcadabcabcbccecceceaccacdceaecbedaabceebaeebeacddcaadcabbdabdeabddeecceecdaebcbdceabbebdeddcedabebddaaaeadbbdabeabeceadadaebcdbcedeabdadabbcedddceecabbdaaaceeededeceacdadcccdccaacbddaabeaecbeccabdccdcbddebeeccbecbdccbcbddaaeeeeeebeecbdceaeeaeecceeddebecdddbbbeecddebbbdcbdeaaddaddcededebabaeeccdddebdddbbccdedddaececbaedccacaaaaeeceabbaabadddacbecddedbcdcbecdbcdabcddebdebdcdebdcceaeeaacbddcbbddeaadaaeddadcbdbdabaaebbccaaadebedbddcdcbccadabcabacaccdcecaddbdeaacaabdeecebbeebdaaaaddccebcaeeaaddeebaacccbdeecdbbaacceeeaacdeacaebdcddbaeacbcccbbaadbbbccaecbadddcaccdeadeaacedcbbedbceeaebcbeaedaedcacedbdcdabddaddacedbbabbaddcacaddceecabcecadabaecbccbaaeececeebbbbaccaabcdecedbaaddebdaebebbbbedaacacecaacebedddeddcdedcdabdadececdeacbdebeceecbddcdccdedaadbedacababcbbdcacbededcbadacdbdabbcdacccebbacadcbabdbdcecddcbacacecbbabcbebedadcadeebebebbbbbbadebdeebebcdeabeadbedcedebdcaaddebabbdeeecbabaeaececaddcadebcbdcdcabdbdecebecbbeadceacbbcaadcdacdeeddcdbedaceceebcaeaacdabeeeebaaecdbcbceddbaaadddbadddccbddaddabcbbccbbdaeedbdbebacedbcabacacddaaeeadaedbaccbdaebcccabaadababdeeeaacacdaccddceecbdacadcadcbcaeeebbddaececbccacecaddaceabbbeeaabebaeaaebeddccacdcdbdcdaeaeedbaceedadbbdaecbdcdacaacdabebedadbcecdaaddaaebcbbededcecbacdcaeadccecbaeaeaddbceedddeaedbbeddeebbadbdeebacbebedccebaacdcbcadebedbdecaaedceaccbebdddddbbbbebdcadebbacdadeaaedbcaebceabbccbebeeeecbecaaceccbddeaabbdbcaacdeecabdeaeecbabeeebecbceaeecdbceedabcabbcedaeaebbeabebaabaeeaaaeeedcaaeeebacdaabccbbabcdaebeceabeebedcdcedbdadcdcbaacbabadbaedcaccdeceddaaceecedacbbdadacddedbcdddccccbcdbaeabcbdadeaeabacddebbaaeaadaadeacbecedcbadcdecddeeeccaedaacdabdbdbbbabeabdaecadaeadedacecacbdabdbddebbddadeebeebcbabeebdbaacbcbcabbbdbbaecceedbcdbcddcccbdccaaeedecbeeaacbcbeaaacbdecbdaddddddaecbaaeabdbbededbddbaddebebebeaeccbabcbaaeadedbddccdecaaebdbcabcceddabdcedcdaebddacdccbccdbcccbeedaebadeacddeeebabdacbebacadcadbecabededcacbabeeecadeaebcbdecccdaccdaddcbcdaababbabeaddeedbdcebaddccabdabbecaaecaebdbbebccedceeeabaceaadcddbbdcceadceddccbabebabeeebabeeeebbaeadcbceacebccedacdbdaebababaecdcbdedeaacacbaddeaeddcdecaeaddcadabeaeeeedbbebbeaeedcabceaeddcceeebaeedcabddcbbcbeecbbebecdbbcdaaaeddabbccacdcbcbaadccaceedcbcdeaacbecddbcdcedbcbeeacebeadbcdccdebbbdebbbedcbcbdebadbbdaecdcbdacbbbcccabbdecadcaedcbaccebcecabebcbbdeaebaadaadecbcedeabedbecdeddbceaececdaabddeaaedbecdcebacdbdcbdbebadcecdcacabccccdedaeeeaccbabaadadadecaaeeeecabebeddadaedabbbcdcbcbdddcdbbcbdedaceecddadabbcabbaaaaaddaabbbcebbababaedcdaabeadeccddacbabeedcadedaabecbbdcbaecebbccaecddbecbabcaeabcabdecccdcedcacdeedeadbedebbcbacebaaebacaebaaaabeacadeeecaeabdcaebebaadaebaddbaabdedbcecdaabedcaaebddcaeaabdbaacadcbacbacadcdaeccdcacccccbadbdcaddceacbdedacabcdacceedbddcbaacccabaadbebcedeecbbaaebdcddbcceeaabdcadcabaadbdbddebddbaeedcbedacbddbcaeeeaddeedcaddbbcccadbaeeaedeadbcbcbecbeadebecbdaaddebceadcccbebdcceccbaaecccdbdbaedabcacacabdccaccabddbcedeeedeacdabebbdacbdddcdbdbbeeeebbbbbcdabbecbdbacaeaedeaacbbbaaecbdbcbccaccdedbacddbbdabdebcdeaccdbccaaacdbbddddebeedbaacbacdbcaaeedaabaececedacaabbbcdedbbccbcbbbebdecdbdadbcdaaaadbcebccbbcecdacaaecabebecccdcecbbcedcedbabdbcaecebbdeabdbcaabdbadacbcbbaaabaecdabeedededdedebddccecedccdceeaddabdaeddabccedbbacabdacbceedecadccacbbccdeacbeeaddddbabdeeeaedbccabcabbaccbabdadeddecbadbecdbbbabbadcedbadeecabbdaebdebbebcdadcbccaededadacedbdadeeaebcaceeaedbeaedecbbcaaedcccdaecadbbeadaadbcbcbecaeecaadaeeebebeaabeaceeaecdecabeaecedbdadeaceaaaddbdceaaacddeadddbcbebbaabaeecaeeebcdeadedbdeaedcddabcbbdeabebbeaabbcdbbbedabadbbeeeddaaabaecddecbbaccddbcecbbcaaebadadddbcdeeeecddadccacabeaaeccceeabadbbbeaebeadaeceedbaeccdaacccaddcceedeeaedcbccadaabeebceecebeacecabcdeadcdbbdcdeedcbbbedbeeddbcaeedcccadceabaaacdddbbdaaabbabcaeebdeadbacdbaeceeadddbbdabbdadcccdeebeccaabedbdccbdadbaebbacbdceecdedccedeecaaeabcbccdadbeaeabcedadcdaccaadeaacdeceedcbbeaacceedbeacededaabbecdcccccdcddedcceeabbccdcedcdaaedacdeabecdaacebaceacedeeaeedeabdaabdedabdceabbbcdecabcecbabbbeaddabbedbababbedcddceebdadaaceeeeacddecdcbaeaeabeebedbdeacdeebdacbeadbdecaaabdecbcdcdedaeeadeaadcdcabaaeaececadbcababdcacdbbaeebbdbeecdbdddabbedacaaedbcccbbcdedbdeaabbdecbeacbbbaacdaddbbdabbbaddedededbbdeabdecbcdddeaddeedbadabbcabaaaeecadeeaeebdbdbbbccaaedaaaeacccaeeecbeebcaceacceeabeaacbccdbeeecabbbbadbddcedeaccbadceeeddcaeaebeaabbbcdedcecccaadcedacdccbdecbbbaebbbaededdcdedbbaceeadcbbdaccccdddbebedcedddeaeacdaaebebbaaedecbaaeaabcbdaeeabdbcbbecdcdeeddbceaedeeeebabccabbcbcdebedeaadbdabedacacebbaccdddcbecbddbcddadaeeaddeddcaedeacdcaaacbdddeddcdbbcdcacdcbbaaadaddebaaaadcdabbabddcedcadaededadbdbcdbedebbdeeccbcbaedbcbacceacccbaabccdbdeacaabececdaaaccbeeebbcbaebdbdbddeacceabbedccddcccadaceedaaacdedcbeddacceeedbdcbddabbccccbaadcdcaecaebcadddeebbeceaaacdcaedcacbeadaeddceacdebaeddccadebbcadbabdaddcebcaaddbbabccdddbabbbcdcbadcaeacbcceedccddeecbcdecbedccecdcdbbacaceecebbbbacaacbebbacaabdadbcebcedbadeaeabbdcaebaacacdeabdcaddeaeabaccdcdbabdacacdddcbeabcdbcbbabeabcdeaaabccceabeceacbebcacecadbecdcaacbcccecaddddaebcadbcededccbabcdadaddaaacadcedcbecbbbdaabbdeadabbeeeadeebdedebaebdcebceadcccadbcbdacebbedcacdeeedceeaedeaacedcdbeaddaebaeddacdedcabebcdbbbbadaddacabadacbdabccccbbeeaebaeacabbacbbaebdaeadabbeeadbeaeceaebdbddabaabdebadabaccceddbabbeebecbdaeedbabdbbdbeedacdbbdcdddbacaeaedebdaabcdcdabadadbecedcaaeaacedaaeceadeabeccdcecacaaebdbbcebaeceaadbddabbbdadacdbaacceacebbdbcecbecdddcebceeccebcbeaaeccabdbaabecbaabbaabdcabddeeabeeeeadaeceaeecebeaacdaeddadcbcbddcceabcdaecaceecaadcddebbadacadabaebebcbeededddbbbddaecbadbbecaabaeddcdcccebbbddbaaccadebbeeaabcdcccddbadabeaaaaebcbcddcdaecbddadacadedacecedccbaeeabaccdbeadcabbecabcaadbecdaaaccebaeaaedacccebaeaeecedbaaaebbcdcabadaaeebadebdaeaacaaeddaeebebcceeeaccaacbaebabdcebdaacedceadabceebededccecddcebaaabadedaeadaebcebebdccedadabcabbdbdabbcbcdaccabbaebcbedacbeaeabcdbacacbcaeebdaaeaaadbcabebcedbdbdcacecbcdadbccccbdeddebeeeecabbcccddbcebeecaabbeadbebabdaeedabeaadbadeebaddcaceaacdebeccdcdccdeacdcbbbcbacdacbeecebcbbdedbceceebddeebadccbcdbadaacddbdebcdebdaceebddcabdcadebeccabebebdbdaebebedceaeeccbbdecadddbeadbedaedcdecbccdaabcbbddacbaccedbbbecbbedcdbbbebedbddaabdedcdcbeccacadbcbdadcabbaeecaecccdcebeaedbdcaeadedbcdaeaccdbeecbabacbeaebacdeeecaedcdaeeabcdaaadacccedbadbdeabbeaecbcccbebecdabeaecaebaeccddabbedbebcdbbbdeebdadeccaecacdcbaceabaebabbccaaccdccbecbcebeccdaeacedeccccdaeceabcecbbceaedabeeeccbbccdbdaaabedcebcaebdabedcdbeabcaceeebddbbdbaacbccceacedcaeadcaabddadaedecdcdbababcacbeedcbcddeceebabeeacecaddcbabaaeebbebeabeebaaaaaabbebeddeeedadaaacbbaaaaaceededcdcbdddabeacdbacdbcbbadccaeabdbbceaacdbadaadcddedbdbdcccedceedebebcdebdcedaddcadecaabcebcdbacaaeaeacebcccbcaeeabdbcdbdcbaddacceaeeacddcccabbbecddaacdbaecdaeecdaeecedaddaaccceddabbacecbbddcbaeedbaaedaccbeadabaebbbbacabdcddbaadcacecceadbabcaebdebaaccbededaeadeaceeddccaeaacabbeecaaccbbdcddababbeebcbcdbbbeddcbcebeabbdddbcdeccbcbbeecaaacaaeabcbccabeccebcbccebacdbddedcdbbcdbdbebcdedadcaebdbbaadeabebacdaecaeeeccecdcddaeceedddaaadadecdeedbedcbabebaaeccdddcdbdbdcaacddaaadbcacedddcdbaaccdcbaeacaabaadacaebeeccdadbccabbaecdaecbddbbeaeaddcaadabbbbcccbccddaebaadeccccaccbbccabeebbaaccaccdaedcbebebcacecdadbcadbbdadcaadaaeedbbedddbedceaedeeacaecacaebabbaebeeceddbacceddabbcdbacbbcceadcddcdcaeacaedeaaaaceedcbceddcddbbcdaeddbaeddceecacbdebcdebceeeedebebddccedaadbcbeaedceaeeddcababeacecbaeeaaaabedadaaadedbbcacceeecaebedecaaecedddceaeecccadccdbddedecabbaebbcaceedcbccbbcbaeedbbbcbbaacebaaeaebaeaababdbcbcbeabedeeadbdccbdcecaaddaabbabbababcbbecbeaddccdcbeacccecbadabbbaaacadebedbaaccdabcebdbcadbdeacddbbbccbddebaeebbbcaabbdddeaeaeabaaccbdebdbabdbeaaaeceddcebaeeeddbbecbdedebcaadbdaccdedeeeaeccdceabaebeadeedbadceededcdababdeaebcdeedebebabccdaeadcdacecabeedcdccdccecdeebadbbccacdbaaeedbcbecaebdebeacebecbcdcddbbbbbeebeadcebecaaddcdccebddbebaaacdccbcecbadebcaeaddcabedcebcaedbddaaceddebebdcaadaadbcbbeeceababecaeddaeddbbdbbbadcddcddebaceaacdeaadceabbeaaedccaebdceceeaeccddbacabedeedbbeccadddaacabdadabdccdbaecaaabaabeeebddcdaeeacddccdcdacceeeedadceddecddbaecdbaebbbdbeacaabceabeddcaaeaebbabcdcebecbddccdcabcccaceeeedecdcbddceaceddebddeadddaacbbaeaaadaeaccacbaaeacdacababedaacecbcaeccbceabdacdcaaddededbdbebeeccadaddaedeacdaaacbdcedbadabbdaddbeebedcbaebcbeadcacbcdbbbcadaabbbbadadadeebeeddeeccccbaeeaddecdcecacbabcecedbaadbbdbecddddcaeecedbecaaddcbaceeebbbaeededeaaaaeebaaceabbecbbacdcbbdacddbdbeababeaaaedaceddbaeeedbbdebcdcaacaaddeaeebaceaebdcabcdbdbadbcaccabaaaeaaddadbddbbcaeddcebcbcdceedebcdedbccaacdcecaaaaeacaaaccaceeadccbeeebdcabdcbebcaebeceebebcbddbabbbbdcaeeeccbdcbbceeabdeebbeecaeeddebedccccbbcecadacedbabdeadabaeaadabddaadebbaaabdedcdedeebadacdecdbeebbaeebdbebebeeceebaaeadeccdbddbbecbbebabeaceabbbcebaddebbcecdcbeaacaedebadeaadbeddadabdebdbddaaeaecbcbaedaaccdbadbddaecadaeaeeebaaaecedeccaabcbeaadabcdaccedebcdaaaeaeebeecbaecadbaedbacaceababaaaaccbabaccdebeeadebebbbeeaebdbaddaacabddbadcaeaaccadcedccdabdaeddbbcebbeadbbacadccaebdeeeccabcecdeabbacaaccecaacddbedeebaacdccbbcdededdeaebcccbacaddecdabebecacacbbedbcedcadcbcacabbedbdbcbdeaeeadcebacedbcdcdbcbceaecbededccaddaaedbbcccbdbdceedcbeeddddbdbebdadabebaaecbbcaceaebdcbcaecabcccccaaddddddeabccceacceaaacbcbbebeddaabedebaccecaecedbcabedeadaeadabcbcaccbccaecdcddaccbbaeedacaaaaccaebbacddeeeaeadadbaeacaddbcebedbbbeebcadacbaecbcabaabdececaeadccebcadbaddbdadeebccbeeacecaababeabedecddcebcedbadcbcecaaeabcecbbdbceeddebacebecdededddaccdccdeebbddbacaebcdcecbecebbbeabcbcbdcdadbccedcecbecbceaebaaaadbdbbaadaddbaaaadadbececacecbeedacaecdbceecaecacebbcdbedceabcdabbbedeaacbbdccedeadcdeebaaddcadbcbaceddecebecbbcedebecdacdaaacbcadccaebdcbccccbbdeaaeacabacacbbaddcccbdcadddaacebeadbdddeedcecbbadabddabcedeecaaaeebecadadeaeaadedeeadbbbcbdedbedacaadadabdeddabbcbbbdcbdbaecbbdabaedeaabcbbaadddebdaedacbdcedbdaabbbcedceabcabaaccaecbcaeebecceaccdcaeaeddceadaebcacbeeadaedcdecdaadedadeddcecaedeabcdecbdaeaaaebbecacedccecebdabeeccccbbebdbadceeeecdbaaebedebaacaebdcaaeaacdeaeadadbbeaebedcdacbdaeadddedbcbcadcaeccebcdeabdaebcccdaeceacbedadebdbdebbcaeabbccdedaddbcbceeccbbadabadeaabeaeabddbadeddceabdadebbececabcdaaaeecebaeaddebeacdaececaaaadbddbccbeabebdddbbaeeaaacbedaadcaeacebbabaeaacacdcbebaecaeadabdbaceaaedaeecddecbebdadedacbdbbcddcebeabedbaabbabcabaeedbecaeebdebaacbbadcabbcdebeacaaabecbabaeeacecceccbdedbdbaeebecdacddaddbacbaabcbbceecdbdadbedbacbdecabadddbeddbdbdaebcbbcccbeeecddeababbebedebdbbeecddcbacbdbdbabacdebecdadaaebbbddecaaaeeacacceddcedeccabdbaeccaacccebabcdedbedacdceadbeebacedcbcdcdadccbdcdeddcedcdbbaceeecccbeeaeeeeddebcdcebdeccdceeecaaebaadddcedeceaeeabcbeaddbedccdeeeadeadcebabddaadadceacbeeadbcccdddadaabcbacdbceedeeceebcaddbacbeaebeeeccbddaebdeacebbececbccbbbceaddaddeddcbaccebbccbdadbecaecaeadbadbeaebdccacadadbbebadddecabdbadecbdbdcecbbcdddbbccaeedcddcdccedacedbcbbaecacedacedececdbadbbcbbcaeeaedeaacbdaedabbabcdbbcacabccdebdecbbdbbcbebeceaaddcbbabcdedcbbbacdaedacdcaabdcccbcabdadecbbeeddcbdcbadbbecdbcdccddaddbbbcdaacbeaddedcaacaacacccaacadcabbaecbabbdedcdbaaddddebecaecbbdcaabddbcaabecbdbaddbcbbcbcbceaedcdcebadbdeedbeaacceabbaedbdbaebcadebedbbaacbbdeaabcceedddcabbdbeaaebbdccbeeeaeebbceaebebcedacedeaededebaadadadbcbeeabedebbaabdaddabeabecedbcdabcbaccebdbdeddbaeedbcecabeeeccbadcedddeacebceacedbebcecbdaecbedeadccdaacbebacdabcdcdcddecdbeaddccaeaabcddeaaabdbbddcaedbbccbccaabedbbebdebedadbbcebcdebaccabaddedcbabbeadcabbeedcceabbdbccdeededbdcdaaccaaddbebbbbdabbbeceebcaaceeeecccbabecdabdeabbacbadcaccbadcbeeadecbaeadbedebaeedecdecececdaceabdccdeaaaeeaddcccceeaccccbacaadeecebdebeadbbdeddabbedccacaecdeddbbdddbedaeaddbccbdaddccbdbebcdbabaaeeeeadeecacaacbbeabbabdbcaedcacdeaebaabccbbbcbbecbebdabbecebceeeecdacedeebeadeedaabaecdcacdbadcebcedbddabaacbdeccdccdaebebcebbeeabddcbceeacabdbbcdcbdcedeceecdedcadcbbbdecdbdedbbcecbadabbcdceccacbcadabcdbabbdabeddbbeeabccbbedaabeadaadbaddcdbddabbccdccdbdccaadedcbccdbbdbdcaedbeddacaeceeacdcdaadaceebbbcdadadbbbaeccdbcdbaeebaececebacbaeedccddaacadcbcbeedcddededebbeabdcadeeadaededeadaceadecebbcaaeebebebccceeddcdbbabccebdcdcecbabcadadeeebcdababcdacdadabbeabcbbceabbecdabbacdbcdabcadeabbbdcbceadecbebbdcdcdcecbadcaeceecbdeccceacbeeedbbcdbedcecadddabaecebabbcbcbdaedaceeddbcdbedaceaebdbbceadcdccaeacbbcbadabddceaeedacabdcabdddcbadddccdeadbbdceacbabceebcdaeabbdcaceadebcbdaebdecbcebadacbaacbccaeddccabceacaecacebdecdadecdbababcecbacacaccbeacceecdeabedbaacabacdabbbdaabbedccacdcabcbaaaebcbadccbbedaacaeecacabceaadceacdceaeccdcbaaadedccbdedbdbdabaebbacbeeaaedacbbcecababbbadceeadbebcbccaeeabdeeecddebbcbceeedbedaeeaeccedecadcbeecceababdabecadaeadddabdaadadbeecdeeabcababadedbcadcbdaccdaedaedcebeedcdbdebebdeacebcaddeddadbbdbbbbecebddabcbdaddaabbececdbcbdecaaaabcddbccabcdaaacddcdccaeadbadbcbaaebaebbddecbbeaecaebdeaddcdbbbaccccdbbaadeebbdbebccceceaabcdedbceccaecdbebdbeaccdecdaecedccebbeabedebecebbacaacbdccdbdebbbadedebcddbbdaccbcbdcdaecadbdceedaddcecabbacedbaeabcbadbeaedbdeabadedeaadaebcbbecbedadccdaedcdecddbddcebaeaccccdbeedbeeceeecebcabbcbaeceecdcaebdbebddbdcbceccbcbebacddcadabcdbcdeccdbceedaebedbedaddcebadabbcadeccdaadaccccacabadcdadccacaccabdceadabecceecbeacddceeeadacaaabbeeacaccabdadedcacccdbeedbadcdbacadaeeeaebaaaaaebdcbbeebcdeddebbeedbbaabebcdcbaeaccaccebcbabecbbbbebbbacbdbcceaeececddbaccbcbbebebeeececdabebbdeabadddcbaddbecdceebecceceacdeeacabbecaceddbddeecccbecadedbcbebebbacbacabdebcdeeeebbebaceedbccaddddbebbabcceabaecacaeebcdebbbabadebbbaddecdccdbcceaaedccdcadadcaceedeeeddbedceeabaacbbcbcddbacadbbbbeabbeaeecccdcceebeeebddcccdbdeccceeaaeddcdecbcdcbdeaeacadbdaacbeebebabdacdeaedbaaddceaedebbaeaeaeecceaedecdcdccaccbcabacdeaeabeaddaaaabdccbeeaddaaaeecddbbedcbecbbaddeaccdbeabbbddcacebcdbeecabbaababeebcdcbedceeaecdcaaacddeaddbdeeacedcceecddedbddeadcecaadedbddcdbbcaecccaccddeeaebeecacdddcadeaedcabeecdbbdcdcecbebeadaaedddeeacaeadaaadbdbdaacddedeacebdacabbeadcbebacdccbaacacdcdaabdeaebadeedaeaabbdbbbdeacddadbcebdeacaeacaddedabaeccbebaddeedaeedaeaeaabeaaeabbaabcaeedabeedeeecddeaacdeaadbddccbdcebababcbbeddbdebebbcacebabdbbeaeeeeabecbebbbbeedcaccceeaebcaeebeabbaaceedaabbbbceebbabbcbaedaaeaaeaadaacdaccccccaecbbdddbdecedddcaccadbedcecbabcacdbeacbddbbeeecedccdceadbdecadcbcbcaeabbebdabbdeabbedbbdaadbbabababeddbbcaebdbdeeaceceeeadcddacacdaccbcecebcecaccbaabcbaeeeabedbbadbcbeabcddbddaadcdbcccaeeeccbdddbeaddaaebccecddaaccaceebadbebceababebecbccdbbcecaebcabaaccdadcadedddabacacdeeccbaeeaaaecbdebbdeeddbbcddbaceadbbeedbdaeaadeccbdeeaddeaaadecaacbbaccacacdbeeaecddaeddbcbcddeabdcaccacaeebaecaaedeeabaecbdeeadbabdbedcbebceeccdbeceebeebdedbcbbbdcedaebcaeeebdeeededaecccccbbabcccdbdedaaadabaccdeedaaaeedaaebdbeecbcaaedeccbadebeeaadceecdcaddbeebeecdbedbcbbbbddbeceadeacdaabcceaebaacccdadecdadebccdaacbcddaddaaebceadaabdacbcdaebdeebbeaeecbccceeddacabcbddeecabaedeedbcaaadedaebaecdaabeceaceadcaabadbbcaeebccccddbecbaaeaedecdaadcdeccaceeadebcddedcecadccadbbbdcbbcaebacecdbceedacaabcbeccbdcadceeadecebedaddadccdabcbaaeabbacedabbbcccceeadabbacdbcbdacbddeadcdcdbddeddaaecceeaeceebadbacbaedaecceaabaeaeeeebcbdccbccdacabdcaeadaaaedbbeeedbdacbcdaeaecebbabaddebccdeddceeacbaddbadccbeaccdcdebebcbcaeacebdaaeeeccbcbadebcdecebbaebddadecdbdebddcaabcedeebebcbbdcbdcabddccdbdeeeeecccaaccdededccceaeaaebdaeabcbcdecbebedeacddedcdbaacbedaecdbdeebbedebcbaecdcaeebbebebbeaedcdbcbbcabbedadcaadaddcebebbcadbddebaecbadadabacccbcbeebabdcdcdaeeeaeeaaeadebedbaeecebbabdbcaedaeceaabcdecabcbbabeecebdceccdbcbbebedeaddcbbdacebbbaccdceedeeacdcbbcceabbaccaaaabdddaceacbdebbcaacdeeeceaaeaaaedcededbaabcbbbbeaccaaaceceaceebacddcaaeeaacdbcabbceadddabdbbcadcedecbddcacbdcbbcadbcaecaebbddedbcdaedabccdedacacddbabbadebdbbededecbbbbcddacddaddbcabcdaeeeabbaeacbdbbbcddeaaaabdeedacdccccbebceaceaeeddbcbbeadabecbbaadaacedeecccceadaacadeebceeadaceacbbdeeeebdabcbcdcdcddbeddeecaceebccabaccccdeccaeadccccdbbdbbadbbaadeecbdadbecdaacaaeacaebacbbdabeacecacdadbbcebdedebebeedddcccedcbdcaecacebdcdcebecadeacadaceebbcbbcaacdabddbdbeecdaabbcbebaabaeeeedadbaccedbabcedacacdcbaedbeadcebcacadbecdeeddcbadebbbbddaaabddceacadadcddabaebbbaabddcebcbdbbbbdbcaacacceabeecebadbeaaadceacadbacbcbbcaabeaaecadabaaacedeebdbaceececcacddcdaebebdbeecccdceaeedbedeeeaddddddaadebabbebccdaeaebcecaecbdbadeadbddaaceaaaddbccdbeddacdabeaeaaddadacceebccadbbeadecbdcccabcaddeaadaaedecbdaddebaecbecebacbbbbeebcecbcbaeeceeeebeeabacdbaeaadeaeecadadaceceadeabbcbcbbcdcadabcdbbebcbebabccdacbaedbdaeadddeceaedadddccdeddbceebceccdbceeeebaaadecadaebedbdeadeaceeeececaadaeacaaceebdeeeeabaccaeabbeadccaabaeaabdacbbcacebeaacebdbdedbaebabbdcaaecebcdcaecdcaeabaaabbabbadceeddbbdacdaedeadccdbdbedbadaaebeaedcdddcbdcaccaaeececacdccddbcbcbdeaaabebdcdabceccbccabeabcdddeeeccaeeabecedadeeeecdabbbaedcedbdebbdcebedbccedabcdbbbcbecdccdaacdaddbabaedbcbbbccbaeabbbaecebeaeddcbdccebaaeecebeaaccaaccdccdacaecdeecebebcdbabebeabacbedcbcaebcdeceebbeedaacaedaaebeeddcceadaecdbccaabaaabcbdeaecebdedaaaabceacdbecadabeedaaeacaaacddcbbcacbaaeaeacacdcedbbeeaeacdcaacdababbcdeeccaedecaebaddceacbcdddacaabeedaaebbdbbdddacaebeddcabaeaeeeaddebedabeceedaeadaedaeccccbbedecdeaabcaceeacecaaebdadbadeaceceedccdcecbbaabebabdabbcebacabdeceaaeecceacbdccbadeeeacebacccdeedbcdbcaddbdcacecddbaedeacbbadcecadeedeccaadebbaeacaccddacbaeddedadddabaedebcaddaacbecabeacaccdbedecedddbcbabaaceeababbaadabeabadcbadabbaddcacaadcbcabacaacccdbddbabadeacbccbbaddccbadacacbaabccdcbdababddbddbceddbdeceaeeddecedbdcabbcbdddeebbdabcdddcacadebbdccbeaacadbceaacaacaeeeceeabacecdbebdabaaecddeabcaedabcbdcdacbdcbcedaebbcaadaaacdcdddbbdbedcaeaccdbaabebdebcedadcceecdcbcbeeccedbebaabcdabdbcedaccdedaebdcceacedebbdabaacbbdeaccbabcddcbcdcddebdaceacaeecebaecdebeeccbbbacdcaaececacbeacacadaccbbbbeeeeaadecabcbdadbebdaabbaecceceaebdbbaeeedddcaecedbeaeedbdcaedbdeeaaedbceaeeceeaadadebbbacddeaeeaaeaabdcadbeddbbaeddbbcceaadbaaecabbbaecedbeccbddddbabadadeceaabdcecccacccacbbdadbceaceabbaeabdeaccecbbedeeecacdbaececbdbdbaebcddadbbaadbbebacdccbbedbaedaddcbdccaacbadcdaddbabcbebaaeecdedaddabadebaecaccddaddbeabccadabcbbdecbbeeaebcbdebddcccaadeeccacecccbbdbaddebeeaaeabcaeabcaeabbddeceabbebbdbbcadeccabadacabccadcddebadaddadcbddbbdebecdcddcccdedddcdebaacedddececbbeeccbbbcbcacaccaaddcdeccabbecdbeadcaeaaacbdcabbddaddaececbdcdbbabedbeaabebeadaaceccbbbccaabdadcabdebecbcedeacdbdccbddebeeaebeddeabceecdbbcadadedbbdddadbccceaddaddecedddcebceccdabcdabbaebceeadeddcebccadbabbdbdaeeeeabadaebbecaeaceeeaaebcdbaaecabcdabdbbcadeadecebbacdabccddcbbdcebeabebeaadcecccdcaeebcdbccdeeebaacdedbadaecbbddaeecbabacaeceeccbbcceaeeebdcdbedbdcbcdbdcbbeddbddccdaeeceacdceeaabdeaadbaaccebbdcaacdaeceacdcaaeeacbeccbcbacaeeebebbeebdcccddcbcdbcdeebdcaddedebcaddbbedbbaeaecbaecddceecbebedaabbdaacedbdbdadaadeecabeaeaeebdceaecadeaabeededabbacecbacecdabbeceaabeccbcdaaecdbcdaadbdeddceedbeaaeaddebaebebbbeddebcccbeaacecbbbccbecbbdadbdcbbbeadbcdceaacaddcabbabcebabccadbabebbbbdeabcbeddeabdebecdedeaeeebdccbaddcdbaaaacccdadddedacdabcebaeebbdebaebcbbdabeeebbadcacdecdcdaccbecdccbdceaeeabaddeaebdeadeedbccbdadadcddeaeaabbecbdebaedbebbeebbdabdeadaaadbebbceadddabadccadcebeebaddebceeaccbebabbdebbebcbeabddaadebcaeeacebbeadeadccabaaebaceadcdaadddcaaadaeaaebaddaadbdaecadaaddaccaccbdbbabcbdaaedcdbcdcbcabcebaebcabbcdeaebdbeeceddaaeddaaecacaaabcdcdddcbcdccbcacceedececdccadeaabebcdbdbbcaeeedacacbbbaceabdaaddbcdcccdadecdcdbdbecabdbcebcccecdbbaaaccddecbabbddababbeadbedbcbcddabaabcacaaccdccabbbcaedcbcdeabccebbeabeadbcdecdcddddcecaeeeebaddceccadabdcececdeaaabaccebabbaedbaaedecebaaadcbcccecdcdaacddbdaaecdecbdddeeadcdbeebccebdeaeababaddcaeeaebaeccedcabceadacabdbdcdeabdccbcccbaddaaddabdceaddbcceeecbddbbbcdcdcdccbacdcbebdebdaceedabbadbcadcebedeacacbdcacdcadaaaddcebedaacbbabcecbeeeebeccceeddbdecdceceedaaedcbbaabdcecadbceeccecadabbbbeabcbcdceeceeadcaeecbbcebbbeabcceaccdddabaabebaeebeccceddebbecaebcdeacbcbaeeedbbaabcddcbaeaedddadcddadeeaddbadaabceebaeecbeeaebcabedaadbeecaacddabacbdabceaecbdbbcdceabcebcdbddcaecccdbcadbaecacbadabdaeccdbdbcbdeedacddceaebbccbcdbeebbbaeedbdcccbccddcdaaeaeeccbabdaadcddebdddbdccecdeaceccdbcadbcbbdecacaacbaaabebcbacbebccbaecaabbdebdeddecabaaedaebdbdbbadbcaabacdbbcedbebcacdcbaebaecebdaabbcebaaeaaddcdeeaaaecdabcadaeecedaabbcdcbacabebbddcadddbdddbabbcebeeecbcaaeebedbacdebbbdbebaaabcacbabddaddcbdacabedaccbedeeadcceaddadcbadaebdecbbbedbbeaddbecaedbacaababccdccdebeddebddceeedacebbeaeddeecaadbccadedcebcdeceeaddeaeeddacbccaaaaabebdddbdcaeebbdcdbdcedbddbbbeccdccbdecdaaddccecabbaadcebdeecbecccecceaeadeeabcbddbeeebdacabddadabeedcccccccaebdbbcbddaeacbbdbebebcdacceaedbdabcbecbdbececaacedbdddacbddbacdabcdaaeeebeedbbeeadbbdaccdecaedaeabdadcdaccacaabacabcbcbdabcaabdabaecddcecbcacabdeddeedbbacddcabbaecedcbdbbdaabbceabcacbeaaaedddeedcedabcadbcceadcbacdeccebdaccdeecccbbeedecbbbeaaaeaecadabebcdebdcabcdbeeedebddadebdadedcdddbecaaaccdddbbbeeecbadccdbddbaabbecaaaaebceedeebaceecbbdeecaadaccbccdaeabcebebacbabaaddabeceedbbcbcaccabcddeeacdecacabecedaeaebabcadbadcbbeedbcdabbbebebaaccebddbcbcebdbdecbbeeddbaeccebededceebdbcdaabcaeecaecdacdcedeaaeaeeebbabcddcadcececececdceabcebecadceabeaedcccececcebcdbcdaccebaabdeddecbeacaddccaeaaebadeeeadcdbcbcdaecccbdbeeddcaceeeddadbcccbbaabcabebdbaaedabbacbbdddaddaaeeccacbbddbccccbddbdedddceeadecdbcedacaeddebedcebddaeabeceeaaaabdacaddbedaaebeeceaaacbacedddaeebdebdabaebecdaaccbebcbbddebdcbadbdbadaeaadeaecbbbbeecaeeedbedeeddbeebeccdddedeaeadcbdbdaabaeeceeccdceacdbdbacaddaecabdbeeddbebabbcdbeceabadabcdeeaadccdcccbecbadccedddcaacbddecedbdcdaaaedeaaecbaaaccbcbcccbdebdbbecdaebbbddacccedccbabeacdeaccdbadabeddddeacbdaabebbeecbadbbaeadbbddddadbcaeccaeddbebcacccdaddaababbecbdbaabbdccaadeeaeeadbadeecddacadccbbccaccdaebbdcbcbabceabeaeecacdbeebdcdbcdbeabbdaebdaedabaccaeeadaedbcccaedaddadddbcadddccdadabbabdbeccbdbcbaecaccccabecabaeadadcdaaccbaecadeacdbacebdbacaeaddcabaacbbdabbdedbaeebabcedabeceaccdeeadcaccdadeecacacdcbeeadecdebeceedabdcdceecdecaecbebacdbebbabacadebeebaeaaaaceaaecceddddaabdcaecebeceeabceccbbdbdaeadbdbacacbedeeabbdddeccbeccbabaeabbaeadcaddadcaaaeadeddbebceeeaacabcbdecdbaedbbaedecacedccedabdaaacacbedeeaddddbbaaedbdecedcecbbbeadbbbbdbebacaedbebbbbabeadbbaeabbdebbcedcacccdecceeaedaeddeccadecdeaddebeadacadddecdaabacaaccabebbbdddbbbabadaddccbcecbacaabbeebdedacbeacbccddadebacdadaaaacadccdadbdeecdbddbebdabcecababbdacebeaeaeabbbdbdbbcadababbaccbaaacdacbabbcceeaaaaacabbbebdebbdeeadedeaababeabccdaacbaabaedaaabdaeabcaddceccedceedbdbeecddaeedecccdebcdcccbbdaabbeabdaedeaacddacbbdacdccacbdeddbccdddbebbaacadaaedddcecbcbeaeeaccaeebadaddedcaccbabdbebdbddecbbeeedaabbbccebbaadbddcbeabcdcbbdadbbbebbeecdacebdeedccbdcccbdeecbbedacdeacbaaabcbbdcebdcdedbbcaedacaedaedeccbaabcceaacedbaceabacaddcedeacdbeeadeaaddbcacabaeddebcdbcbeecccaebeeabdaceaaedacbddeeaaeadccaacacbacdbdcedaabbacebaebceacdcaedcadeadceaeebebeeeeadcebceeccaeeadbeeadceeceacdbbcbbdbddcbbbdcacdcaabdbaeccbbcebedccaabeaddbbbebaaeceaaadadabacbeaaabddaebddcadaedcdcbecccbcbbbeeacbcacebaceddadcaabcacbcaeeeccaaabdbbeadcbeabadaebbdacacbaeaaaccdedcecaaedbbedddddeebdbbeceaadadbeaebcedcaccdceaaabadaacccdadbbabebedcedebabbacecbdbbdaccedaceceeaeebdbbbacdcdadbabbdcadecaaaeebcdeeccadebbbaaeabecbaecdcadbbbccbededdadccbddcdecbecbcababeddacecddbaccebaeddacaeeaeaebeacceabedebacaddcbdcceaeceeccebbaabaadeeeaeeadbecbaceaacccddceacbdbddbaddaabeabdcabeccbdedcaaaeedaccaeecdbeaedebddadeddceaecabececbdedabbdcdacdeaeacadbebebebcaebcdcdacbcccccbddcdaecedecaeeaecceaeddadbaadabcbaddaeabdecdbcbbaacdbdcccbeebcaaebdaaceaddcdbbacccbcddebbabdbecabedbecbedcbbaccbcaacddeeacdcbeaedaaedaacccbaacaddbaaddebcbbdbeedcecedacbeededdddbbdbeadaebebdbcabbbcececbacbaeabdaacaeeddcbadacbbdaabbdbadcdeebcdadacdddcdbceccdcebeaaeebcbabcabdcaebeebcacbdddbdaceeacaccbcbcaabeeccbcabbaaadabbeabbeaeeebebbbebcaeaaaebdcabeadddabeddcadadaaeedbccbcadcbcadebaedacdebbadccabccdbbddbcbeccbaeabaaebdaacbdddbedaceaedceabacccedccdbdccabccaeaeeaedcdccbbdadaeadacceeaacbbcdbbbcabbadacdccceccaabcdebdcaceaecdadbadacbaceaabbacdddccabccadccebcdaceeddaceaebcdccccdcaededbebcaeceaadbacbeebbecabccbcbbbcbbecbddaacccbedaaaeecebaaadcdedcdcdecdacaabeabaedcabdaedcdaecbbeeaaadceddbedebbcbecccddadddabcadcbeadbcabddccadacbaadddaaeaaadaabbeceedacbacaeaadcbaebcaeaaacebaccdaecbccbaaebabbdaddeedccaeaaebcbdbbaebbddadbbbdbabbeacdcdeacaaedbbcdeeebcaabaacbecbcedeaacbbaccdbdcdcdaddbdeedbcbcdeecaabadeacbacbbdccacbceacacceceabacbbdabdeaeeeebecbabcdaeeeadbacdeebecaddcbebceeeaccccacadbbceddccdddbcdbaaddaddcbbadcddbcecdeadcaabdbcbabbaabcdebdadeddcdaecabebacbeebcbaabcaacecdecdcaddabcbedcbbceadaaabeaacaceabcbeaaeeaaabbebacdbaaceddbcddbddaeedbbbccddbdbececaecdbdeceeedccbcbaaccddbdeeededeccdbcacbaaccabdedeedbcddcceeceeadecbeacbcaeecbdddbcaaabeaddcccdeaddabdadacdccccddbbddbaaadebbaddaceacdcaaaddeabcdbeaebddaedcceeceabdebdecebbadaecbaaccdbdeacbcaaeeadcbbdcaceceedcccccbcbaaddeecabcbabbcabdbdbcabcbceddbebbcebdcdcadcebbedbecdecbbcebeeaacaebebddeeaaddeacbcdaeddaeedbabedcaebaabcadbbbeebeabdceeecaebbdabdbddadccdddbbaacaaabddcadaacbbadabcdeeebbeddccbacacbcaccdaeccccdcaaebadaecbeabaacabbedcebccecbecdbddaaeaeabdcdebddedacdabbceaaceeeabedcdebbaddedabbbedacbadbbeabededeadcbbbddbbaceecebebdbbcdbcecaceaeddceaedccebdabbcbabdbbdeddbacaceebeeaaedcacbbdcabeabeaaadccaaaebccbbbcdbbacbcbddcecbeccdabbbcacaaacdddcacceebeacdccabdbabcdcbacaebbccaaddacabebeabcdaadeecbabebaaeabebabeccedebadbdcbbbcadcdaadedccbcecbdaebcbddaabacedccccebdcacbecdcedecaacdccdbabeadaececbabeebbcbdeacceabdabcbdeceaebaeccbadacadaeceeeeeceddcdbdbecaebddbebaedbabdccededdbeedbedccddbdcccaacacbedccbaaacbeeedaebccdabdeaaeecabaeaaadeaccaaadcecadaaacaebdccdcddcaacecadbecdbecbdeddedbbedaccdcbadadadcdebccecdaeeecdeeaaaddbdabddbadadbcbcddccddacdbdaaeaaeddaccebdcabdbeeebcdcbbeaabdbecedaceaebdedbaebbdbcbdcdcadaacbbaabdadcaceebeacdececcbccbdcacebbdcbbdaecbcccbbcdeaaebadecbeeeadebedcddededbaabaecdebbccbcecaaabeeecddeadacadeebdaccdbedabcaaaadebbbebdcdaeedeaadbcacbeddadbbabdbeacdabecbebcbebdeabacabacedbbbabaedbcdbbaecabddadcecdaceceaeadabbbedbaddbaeaaeacbdaecdeadceabcbbddddbacbcabdadcadbbebabcbabcacccedeccbdaaabeabebabacebaeeaaeaabcabcbdabcccdbaaaaaceebdcddbddbaabcbeaaaeebcddbacaecdeadcebbbbaedecaeccbadceacabceacbecedadaddbbbaacccbaaeebecceeaaebabacedadcbacacaacacececcaddddbccdedbceeedbddebddaaddcaceeaaeccccbabbdcaaceedcdebaacbcbaabadabeeeccabadeebabacccbceccdddbbcbccbcbddacbbdaaaabbcbdddadbabbeecdedacdbdceabbecebeadeabcccacadeaabbbcabcdaeedeadaeeebdabeebcaaacddcbdeacbddeadedbbaecbdddebacbdeebcdddaccbcaedcdadeeadaeceddccecacccebeccecbacbebaadcccbddeaaaadcbeccbcbbbdedcccbccacdaacbeedacebbacbbbacecabddbaccedbcccbccaabaadddcaacbeccbccbdceedceebdacbecdecabdaedadccaacddacadeeacbeeedecceecceaeeeaacaadebceacdbeaeeeabaaecbcbdaeddbeeeeacccbaecbaeecbaaeebeddaaaaacaedacecbeecbecedcbadcbdeadadeaaccaacecddebaccaddbeccbcbbedebdabadaedeadbabbaacacacbaeedaaabdbbabacbcdbbbbaacdaeccbbddaebbecbadbdbebbeeedabadedeeedeebdbdebdaedbbcdaccedadbabcabcaabaededeceddcdcbdabdcaeddabadecacbacbdcebaaeadaeccaeadedaecebdbbbdaeabaebeedcedacdeadaaabbbbcaebeaaceabacbadbddcdbeecceaaabccaeecdcecbcdadadadbbbdcaeebaddddabcbdcbbaeeabdaeceebddeecdaeecdedaaabcedcbeecaccceeccacceaddbcebcdbbceacecdeeabddeeeeebcdbccdbcecebbeaadbacaebbdcabdbdcdccbcedcaececeaadbaacbaccedecbaaeedbbaaaeaaddabaaeebebedeaceeeeceaacaacececbebceacdeaedadeebeabbeccedeacebabebdababcdbabeadacecbedbcbbedadedbeaceceeacecadcedbddbeecbcabeaababdeababecaedbcbddddebbdbbddedadceccadcdacdadbbdadaeddabceabaaebcbadcbdaddbbeccccceaaaebeebeacbcaceeacbdaaddcbeedaedcbaacacdcdccddabdbceebdccecadeaccbbcceeacedbddaeaadcebabaddbdbdabbbcccacbeeacdcaddaeedcaddbdaaabceacecbdcbccbbcdbacddbabedcbdabceecaedbeabaadeabcbaceecdbcbbdadcacadaddcaeaaaeadbbccdbcbecbeacbadedbeddcbcdaeebccabedaeebcdbbaddbcebbdddabbeeeeddcbeebbaadeacdaebecedcdceabaaeeaadbbaeeebbccbdebdabebbdecccadecbbccbabdbceedbbedbeccabcbdbdcdabeedabccbdbceecabecbbbeeabecabecddaadaedccbdedcdeadaaaedbebdbeccbecbbbaacddccdbeaacabccedcbbaeaccabdcddccaabbdccdbddaadccdeaaddecadebbaccabcbaabeaadbbaedbabecbaabbacbdacdebbecbbdaeeccabebaaaddebdbdccaeeedacaddbeeedbcbebaabdeeadceceedcebdbecddccadaedadeeebebebeeeedbcbbcbaabbdcbeebbeadacdbbeaaaceecbadaeebaceabceaccdccbdecbabeaddceedeccedcdaceeebcabcbaecddedcbaecbccddcceedebadcbaaebdbdcccacaedbecdbaabadadcacbedacacedabbeddbeabaaaeceedbbbbaadcdcacdbbdbaaabeccdacdbddcbeceececddeccdcbdbbceccaeeccceaacdaadeaeeeaceebddaeddbabddddcdbbddeedebceaddaaccdbcaccaaddeacddbbbeccedcdbbedceeaedbbbbdbeeecddbebaabccececaedcecacdbcdedadacedbacdeabbbaaddbabadcdbbdaccdbbaecabcadeabbbebecadbeddeaeddaacbeecdabdeadbeaaeccbbaeeaccdbcbabeecbdcdaedbddcbedbedceebdecaaeaeadbedeccbdabcbebcecdbbdbdecceddccbbbcadddcaedeaebdaeaebdccacddbbbdbabbddcdcbdbccabeaceeaeceacdceaeccadaeddddacaeedebdcdacdeaddbccaeeeebbeddaebabacedeadddbdabdcabbeecebecbdadcdaeaeeebcaadeceabdcadacbbbeeceaadbbdbeceddbbbcabecbdcbecdeceedababdadddbdcbdeedadcbebaccdeebeebeabeedaacedbebeacbdbaceddeeceecaecadabbadeddcdbeeedeadaeedaceadeaaebbbbbddaabbcebadacbeccddaebaceccdabaaaeaaeeacabbeebaacbcbaedddcdedbbceeabceadeaacdcedbecdeddeebcdebabebebbeabbeadbadedcacbbaeacebadecbcaedaedcabbbccbddcdbedbdceeebceabacdabdeedbbbceabecdccecadecdeebaddbbaeaacaabdeeacddcedcabdabddedcbdddadbaedcbababcceeaadeaaabccccdcbdccecedcaabbaabedebdccdbcabeedbadacabaedcdaabbbbedddcaeeacdcdbaedabccbacecbeaabdadebacdbebcccbeecbedadbbcddeabecaababaedababedaeaabcdccdadaebccedcdaebceccdcccbdcaaddadaccccdeccbabdadeabcecdacdaaddbececbeddabbbeacaabecdcdeaabdedbdebdaeabadbbcadcebdadeebeeeacdeeaacbccdeccabbaebeeedacbbcadddabbbeabcccbcbaccddbbebcdbaccdbbcdaceeaeedabacdddcedddbbccbdeeccdebdbadeddbcbbbaaedcedabccaeacebedcbcbbdeeaccadbedceddaaaeddeedbeedeecdadacabbdadabccacaaabaccaecedaeacebabbebaaabdaedbdeabcbdbadbbccaeadbbdbdccadbadcacdaeddceacbbdcbcdebabaaaacaeeaecddabcdccecdcdcbdecdebaeaacaeccbeeaeaaedbebcbadccbcecadddcddeecebacccddacccbabdcdeaacacbaeabbddedebaebdacedecebdcacaadeaeabdbebecabadaddeeaccecacedddbbaecbaadbcbbeabaaebacbdcdeceddabecdaabbdabccbebdedaadcababdacdbaececbbdbaeccdaabcbcbebaaaadcebabbadeeaaaaaebacdccbdbcacedcacbddccabeedebbcedddeacecebcadebabcdcbceebbbedbaccecbbeadecebebcdccabeedcbaadcbbeabbbbbeecaeebeaccbdbdcceaacddcdccbdcaeeaeccebadcbbcedabdeceaaaaddebdaddcbbbddbdedabcecadcacccceccebbdcbcaadbbdbcabceebcecaebcbdaebccbebdebbebbbdbebdbaddccbaacbebeedcedabcdbdebdceabdaacaecaacedecabedbaaaaaddbaccbbccbaddaddbedabedacaddedceadceacdceecedecbebccdeadadebbddcdcaacedcdbdaababadedcbdceedadcebbbccbadacbbebaceeaeeedecbeeeadcaeccdceacabbadbdbcecdbababbccecadbbdbcccaededccdbbeaeaabdaacccaedebadaabadaceccddddacbcaccebedbaacaddcaeddaeacacaacacdddbdeddddddebceeeabeeedecbaadacecccebdddebbbdcaccabbeabdcabaedaddcacbcecaabdbdccecbcedceeadbbecadbdedebaeceaebdbcaaccdacecadeadedbaaaeddaaebdbcccebaeaeeeeddcabececbdacaebdadbdcadbddeebcabdccccadeeccdcbadaceacadddeaeaebdbeceeedbecddbeebdcbdbbadccbcedbceabdbbaacadbebcbdacccadbaededdeeeabaaeaecbbebcecbecedccedacabdbdaddbeaecbedaeecdedacdcabbbbaccbeaacbeaeadcbcdacbaadcdaaacabbaaddbadcbcecaedebacaabbeaddcbdacbddaeedbabcecaebbdbcbabbaabcbdecbaddeedeedddbeacbbbcaccdceaddcbdbcabaddebaacbcdbcbedcdaedbccaadbecdcbacacdccdaabdcbceecbaeeadabccbbebabdeebacedeaaaaaababebaeddbeedcaebaebbbcadceebeaedecedbbddbaaedcabbecaaaadecbbeccddaadeceaccbcabccacbaceadabbcacccdebadbdecbacedbabedecaecbcedabeaecacabaabddaeadadcdadedaabeaadbdcddbcdebddbccccdddebaaacbbcaeebbbaebecddceeaabbcacadccdeadbeaabebabbbebacaaeecaabceabcbbbdedadbddadeedbbbddcdebacdeebadccdccbcdcecdbdeabaaaedcbaccabcddddbcaebdcccbecaadecbbdccadbbeeadebdbcaeadcecbbedbccbededaacbdbddcadeacecaddddaaddceabbcebaccaeecddecccaaaebdbdbdaeacadbabecaeebdecbdabcddcaddaccadabdcaebbacabcbcaaedaabbddbddcbbacbcacbeecaeaadbbcadcadcbeadceceeaeabcbdebebcdcdcecabebeebdabaaeceabdedebaacacaabbbebdcbccccbacbdababdedccbedcecbcdcaaebccedcaaecdbbbdacebaaebedcacacadcccaceebdaccbbbdabaaeabecccacdcbcdaeeeacdcddadadeddedbbeebdedeaeaacbceceabeaadeecabeabeecbadbebbcbceccdcececadccadbeddaeadbebdddddaeaedbcabdceaceeadeadcaaabdbdbbcbdeeeabaaedbbdeebcedaecbacbbdbbdaabeecbddecacdabdcabbccddadbbcedcaaededcebecdcdedbbadbdeddbabdaeeaeebacaeabdddccbaaceededacbeecccedeccdecdadbbdcdbbccdbbbcaaedeeaccaaebecdbecbadedcabceaaeeaecadededeccbbdaadedaacbeeadaadecdbcabedcedbedcddddcbcadaacdecdabbbeeaaadeaebabdcbdbccdceeedddeabbccabbedcaaddbcadddddaeedcabcdabbccdbddabbbabddebcdbcccbaacdeebadbbdabbeddcdddadebecaebaceccacaedaaadcceddbaddbeacaaabbeddbeddccadbaadaaddcdddaceeaeaaaddaeaaabacbcdcddbdbabdcadbecbadabdcbdebbbdbbcdadebbbebbacccabaeeecddebdecddeeacbeebcdcceecdccabbbebcababecaccecccbdabeedaecebcdbcbdccaadedeeecbdeacccaaebecceeacaadeccacacdbceecbbcedcdcaaabecabbceddecdebbedaaedcaaecbabeeddeaedcbeeebbbdccecdcababadacbcbeaaadedcabcdacbdbadaeecacecabddcaeebcecaebcbaecddadaedabbeeadeeddaaabaacbabbbdaaccbcdebdabeaaacdaeedbecaaababbccbbddcdcebedadebacdbcbeedbeeddcbaaddcaedcebdebbebebaaeaeccacbdeceaddaceceeededacdddedeecbbbaabccdeacdbcbbaabebaeecdecddbeebeecedeeecdababaeedbbcddadadcacaccabcedecbbcbdeaaeebdabdcedaabcababbcbacceeabdacebdabadcbbcdadbdaaaeaadbddbebebacdbcdcdbcaecbdcacacbbcddecedeedbbcbddcecedbccabbbcecbcababcccdcddebbeaeeecaeaddcedcdcbcceaaedeeaccccbdeecacbaadbaeaeccadedcdbbedbaeaaaeabdbaaedebaddacdcbadbbdedcddeabdaeabbcaadaabbcadaddedebdbdbdeaedcebaecebbebdbddbedeeeabbdbdababcaaacbbdceabcdabacbeddadeadacabbeadebaecbebeebebdbaacaadceadaecdcdbdabcadeacdaddadceadddaecebacadeecedeedaaecebedababddbebbaadebebacaacadedebaebcdbcbbbddbebeeaeacabaabcabbacecbcccaedcecbccbabdedadadbcbacabddcabddeddebbacadddabcedeacbcabaedcadddeaacaedaaddbbedbebcadcbedeebcbbacbbddebacadccbaeadeecdceabedabacbdddacbacabcebebaaaaaecdcaddcadaedbaeecbbebbcebbceeecbdbaedcacedcaecececeacbabeabbadcebcbdcdccadaedddeabdaddaacecedbcedeaceaccecdeadeaaadcabecaececbaddeedbdbbecaebbdaaecaeadecdbbabaeedabadbebbdedbdbbabeebccabbbbebadddccbaebcebacdcacddabaedcbaddbbbbbcaeeabdadccddcaeeeebbaecacecdcccccabaccdbdbacbcdbbbabcaccbececbdedbcddebcbcccdbecabebdcebaaddbbdecccdbeeabacdacdcbedbebeaaceeccabedcedbdccdaecadbcacaccbbabeacedebabecadccadbaeeaccbedcccdebecdeaecbaedbcbcccadbecaddabebacbcecebcdebbecdeeaadbabedbebcddbedeadadbacbabceaeadcecbcacacceddecedcededceadeccbecaaddcebdacecaedccecbbedcbbaabccecdddaedbcdeeaceedabbcbbaabedcbcdedbeeaeaccdeabddeeaecceabecdbdeeabbbabdeeeadaededebadbdcbaeceebabbeaddabbadabbbacaaaedceaabddabedcbebeacaceedcaaecebdbddacdacbcbdcaadbbeceaeddebbeddbecebecdcadbdcabadccbcddbcdbbbeeaeeeceeaaabbaddeaddccebbadecceeeaecdbacdaabbaadbdccdceaeeedcbeddccbdabdaaacabaeeedbcceaabcacceedaaecbcbdcbbeacbeccceaebaecbdbaceaecadeeeaccaecaececeebdcaaaedcbadeabbeeeadcbbdacdeebabccecdebecbdbedccaceeebeedeeaeedddbabeceaceedebcddecbacbccdcceceaaaadeacddeeadaadbbdccbeceeddeabeaabaabdaebecccdaceacabaedaababecbbdaccabdbadbeabddcadcbcccddcccceebbccdaceedaadbeaccdbbeccbbebeaacdddbdcdbdcbcbdaddecdaeeaeeecbdbdddbeacabaeaeaeeabedebdeecdbdacaabdaaeedabeadacdedccaccdbeecdedddaebedcedacdaebcdadbebddbaabdcdceadcddcbcdbccebabaabbcdaaeccbeaaeecedaabdbadbdccaceabdacbdcaeadbabdcebabdeabddaeebeeaecacedeaebebacbcdcceedacadebeecdcdbbbaaeadccdcbdadbaabcbdbcbbebbdbadbedbeeabbaddedcdeabadccdbccbaacdceddebdcccbaaaedcaebedcaeadacdcdeebbcaebbadccbaeecbaeddbaeeebbcbabcdbcaacabcecbcadacabdbcebacecdedaedbabccaaccbabdcdcddaebacdedadbdbbacdaeddadbdacdddeaceaecabdcaccbbabbbbcadcddcadcdedcbbeacbbebadcdaaaebdcdeacceabbbeaedddbddcceededbadcaddadccdadcceccdedebdbacdaacaaccddaecdeedacdbdeccadbeaeadaeeabeeabcacbbdeccaabbdcabbedceedbeeccdddadedddadccacddcbcddccaaedeedcdbcbcaabdeabbcacdebaaddbbbedcecebabcccebaabddeeebaccadedadabbeaacbabdeceacebbdccadbebbcdbadadcdededceccbeebaabaedbdbacaeddbebbcbecbabbeaeadaedaaebdebbcccaccecadaeacaeaababaecccacacddbebcebdbbdaccaabebbeeadcceccebaceedecbacdadbdaccbdedddebbaebbdccccddaabaceddabdcdaeedaeeddeccaddcdcabaceabdcdaabedcaeaacbbbecbdeeeaeadeccaadecacadcdddeedcecaeaddebcdaadbeecbeeaeecbeabcabcdcbabadcbcbcaebbcdaaaddcedbabbdbaecacdcdaccddbecdabdaeeeaeaeaaccebdcbddabbeebbbeeedadebbbaaeacddddcaeecccbbdeeaadcbeadeddeeaaebdebccbeaeabcacacebdaaaebbddeaccabbedbaebeceadcbbadceccedcdebbaeceadedeaadddebaccacbcdbbedabecccdcacecabdbbbccddacbebcacdeccdcabcccbbadbddbcacbedeedeaecdabaaeceaddcbaaadacdcccbaadbedcdebaececbccebcdecdcedebceaceecceaebebbebdedbcaebbbeedbabacbcdcbeaecacbddecadcedaeacacdcbedddcacceeacdcaadccdbddaecdcccbaadcebacddeeeadbedbadbeabacdbacaebbcbeadedeebceeacceededdddeacaabebadccccdccbcbdabeebecbeeeedebeadeeadabbceeabebabbacaaaacbdacebbabbbbeeaadeccabaabdbebceebbabadddeaacaceeeabbdadcaedceaeeaccaaeedbaaecdbadabababccebcebddceabddddbeabcebdacebbecbbcaccdadaeccdaccedbaeeebccdebcbcaeebabbbecaaadaadeeeccbbbecaebacaabeccaacbacaccccaaabbaedcaddaececbcabebaeabeebdbabaacacebaadeecbedbbcadddcbdccadababaecaabcedecbbecbccbeeaeeacaacdbecedacdcaeddeebcdadbbcdedbaadecedddbaccbcebcadbbecececebbceadcbdbebbbeacedbadabddabdcbdeaacbbeccebbeaacaddccbabadbeecbeeeeccbcbdaebcbbecebabcdaececdcabbdcdcedebdeebdadacdcebebcacdacabbaecdabdbdbebacebadceadcabcbdaecdcccdcdeaaecddabdeededbbbacedadcbccbeaedbcdadedcadebdabeaabaedceccedcdcccdbaaeabcbeaeadcaabdabdcceaecbecaaeacecbbebaebbcbcebbadadbabaabcbbbeaceabcdeacaedadaaebdcbbabdbaecaeeacbadecadeebcddebedbadceecbbbadddeadabaecedebbbcacebddeeaedbccbdecaabdacdcbcddceeeccbbeabdeaaaeaaecadecdebcebcdacaddaecabddccbedcbbeaddbcccbedeecbbaaadbaaeecacebaeeeeadaaccabedaeaebebcbdbdbdceccdcddcbaedddecbcacdaccdaacebbaabadbdebbdedbadaadcdbaedcceaddabdaacadacbdebbbedaeeababadbaadcebeaeeaccdbbccdbeabcddccbdddabbaebcedbccddaaeacadbacddccaeeabdcbcbeececedacdaebddcdbacaedbedacccceeccbbaeedebbbacccdacaeacbcbaaecadaeadeecbdabbdcbdabbdeeedddccaaccabbbabebeeecdabbcddcbdcecbadebbeaebdabeceebabadcadcdaceccadbbdcdbadebcdddaacdcaadedecbbdcceecdaccaadabdadacbabaabdadecebdcedaccbadeaecaccdcaeecedabdbdbebddaebbeebedbdcdaddbebdeadabceeeabbaaabccdcdbdacadbdacdaaecbdbebbaeaabdaeeabbebbeddbbebaeaaedaaddeebacedccacdcbcceeebadacdaabacdcddeaaceabcceecdeecccbaebbeeebadceccebabddcaaaacbdeccdecbbaacdbbacbdbadebeaaaedebdacccedeaabbccabdceceebdebeaaadcadadccaddbcdebbceccadcacdaacaebcceabdaebdacdadaeadecebcdccbaeccaabdcbeceededceacadadbabdecadeebeaebcdeebcdabddbecbadccabbbdebeabcccedaacacbdcaebabcaecadddecebedebdeedbdaadececaabacdceeecbebbbebaadbadbdadbcccdddaaeddabbdcccababaedeebaabbacddeeaececdbcdcdaaeddcdeeebddccbaaedceacbbbcacadbceaededecddcbebcadbcbeeacebbeedcbbabccacadeeaccdadbcabacebcbcdabdeccbecccbdcaeacaadbdccabdcabaeeadecabeeddbcdacccbedbaeadecbedcadaceeacbcdeedcbbbbdeceebeeaadbeadaebcedeabeeedcbedaecbdcdeeadbcddceaeeadaeaebbbddbabdaccadcebeecedacdedecdbccaddcccbaabdbdbaccdbeedccaacdccedcacecbacddebdeccdbdabebcdbbbbbcbbbebcddbacaebecebccedddadadddeccdaccadedcdbceebabebdebcdcaccdaaaceaadeeaaacadaaecceacbaedbedeebdbbaadaabaecbcbeadccebddedccbcdbdaebdbbbcbcdddbceaccadbdecbebbeeddbdddacecdabceecdbabaaabccbbedcddcabbcadadcbeadebecacdeedacabdabbcdbadeddbabbdcddaabbbbedbcadaeeaeeccceaedbdbcbdcedcdceaedaacccadabcdebdcbecdbbaaeadaceccbdaaedddeddaccbcdeadaeceddbeebcbdabaacabaabbccecededaeebbbeaeacbdaaebcaacbcbcccbeeedbdcacbbeedbbdccaacbbcaddceaebaaeadcbdadbcbcbcccadeababbacddaeecbaddcbdcbbbdaeccabcaecdcecaddaebaeecdaceddaaaddeaebbccecbbbaacdccdacbccbbaadbaacbcebcaeedbaecbcddcdebaeedadaccdaebebcbcdceecdeaccacbdcadceacdcabbccdbeabdebaadbddebdbddcdaccccdaaedaebedbdccebbadaddedeedaebdcdbaaabddcdbabaaccacaeacebccecdbcecbacacccdacabaaeacabceabbecbceeccbadbecdcebdeaabdcdeddadbeebeeedeedecaebcbebabbddddbdaeadcaecddbeeeedcbababbbacceedabcbebedbbdbeecbdbcccabebacdbbacadddaaabdcabbcdeaedaadacaccadcacaedeadeeedebbcaacbeecbeebcaebcaeeedebbcecadddeabedeccbeebdadacdeaeeddbbddeaddceebbbcabcebbeecedcdacbbcceabcbbbdbadedbaebcbbbaecbcaeccbdabdacedbbdecbdcabeabacccdcaebcdcadbbeccbeaddbeeaeeaceaecbebdbaecdbbdecccaacbbbaadccdabaababbecdbeaaabdaddebadadeecebcaabebeceeeaccedbdddebcceabaadbcedccbaedeadebccdbdaabeecdbcaceabdecccadacdddbbaacbcbdaaebddbabdbdcadbdacaaebdbadaaeadaaeebcbaeabdedeabceedccbaceacedbaeacbcbaeeadddedcceaebbeeceaeaccaddacecbcebcdbaaebbedebaeecdcdcabaebebdccddcacdebbcdbddecdbccccddeedbebbccedbbeddaaccedeabdbcecdaccddaadbdebbbdeddbacbedbaccdedeeaebceeaeeeccdcaacdccbccecdbcceccddbacdecbbaebecbecbedcaeabadabbecbdcbeaddcedecbdeaadebeebbeaeedbbeabeccceabeacadaaebbaabdaaceececadaeedbedadbbacdcaacdbdeeaaaadedddceddbdcecdbdcacabaaccceaecabedbaedbceebcdeacecdbebaacceadccbccedeedbabeddeaeaadecebeaeeebdbbbddcbecddccadbccecccededbecadcbadbccddaaacbbaddaceecebebbbbcaaadeceddaebbbedeeeadccabedebbaaebbbebcdecccaacacddbdcacebcddededbebbbaccccbeebededebabecdddeadacbdcacdddddacdcbedeeabaabddbaaaebeabcccaccbaadcadceccbaddabcdbcaeeacccccbddedcbecceeadbbabcdbbccbdeadbdbdbcabdabacdbacddbbdaecebdacddccaaaaccbcbdcdacbadbeccecdedceaabdebcaeecddcccbbbcaedeeeaddadbcccdaacddabaccdaccacbeccabeabaedbdcdeeacbebdcbeaeecadccbceeeaacbeeadcabccccdeadadacccdabcddaeaadcccbecebadcabacbabdecaccbdcbeecaaaaeabbedaabaceacacdbbbeeeacbceddddcbebaeeaebbbedabbebdadddaaeeacecabdacdbbaacadcbbdcbbabdbceadabcbcdcdaaeebbcccbbccbaebaacddcaadacbbbbecddbcbcdccdddeddbedaddecdedcaabbabadeaccbbaccbcbdebbaddeabebebeeebbdcbedebdbeacdadbebacdeacaecbdabebedacabbcebaeaeebaecbcdebeddeebdaedecbbdcedbcaeceadcbbaadecadbabaeebbeecacbdddccecdacbbccbbbbbaccacccabcabcacedccdbccecbeebdcbbbacbbacebcddbdabaedadbbadceeebcaddbdecedbdbdbcbdccbbbcebbdebbeddaedddabcbaebdaacaccdbacdccddcaadecdacedcabbdceaaabedeaeddcdebddddcbdacdaeadeddecaecbcdcebdbbecdbdeeedbcbbecbaeaeadaadddbaddcaaecbcbdeaaedbeadcbcdcabaabdbaddacecaacbddaaaacbbdcaadeacacbeababaeddaacabeaeeadaeaebbcacaacddeebdbaeaaccadadbababdeeacccdeeadaddbccdeaeaadccbbbdeccccbebdeecbdbadeebedcbcbddbecaababebddaccdadacddedcbaebcbbdcaacacddcadaddcbcdacbbaccdcdbdaececddbaeecebaccadbebcaebcdaeaacdbadadbbeeabeacbbaaabbebaedccbdcacabccbbbcdbcaedceecbacecbbeebeaadadadaaedbdbdeeddcbbdabeedbdbccccedcdabcbbabaaedcabccacbbbdaebbcabdceeacdabcecaacaddcdaacbeccdbbcbedccdbadabcdeedbbdcbbdbbeddeaeeaceedabccadbceebdcdaacedaddabebcacaacecccaebcdcddcddccbcdadcabecbdeddeccccdbabdedccbbabdacebcdcbedcabbdcedeadedacedaadcbbddbeeeecaeeabecccbabbccaebdbbcddbacddaaeebbcbddbddbbedebdeaceaeeedddceaaccebbaceaddcbdecdedbadcededddbdbbbeadbbddebabacdbcebdbddedbcaddabcaacbcbdcaaddecbbbccbebccbedbccaadeeddbeecdccacbccccedabdaeaeaedaaadeeceabdeaeeabbabeaedaaaacaeeccedeeaebeaaecdcbaededceececaaaaceebedcdaacaabdeabbaacaeaceccecceddeacebeaceecdbaeddbbbaebcacadcebcedabcaeceabdecbbcdaabdadbcdabadbbebbcdabcbadedccbecbbcaabdbccecbcdeaabaabdbdbaeeabdebdbaceacaddaccedbcaaadaaabcbddeacebeaaceeaebbcdccacacedbbceeeaddedaecebacbdaeeacdcbceecabaebebcabdbdbcdacaabaaeebacdedcbeccdcbaddcbbdcdaaadacbeceaeddedaedbcdeaabebeaacddcdecddbecdcecdbecbcceddaaaeacdecbcbaeddadedebcbdbbccabadeddabeeccacbededdbeecaddcaeddccbebababddbdaccdeecbbabaebbdcedeccaaacaeceecedcdccbbdcccccaebcebaddbdedaaaddeccdbdececacdbbedccccdecaaabadeaeddcdbddabacccebbaedcdbabdabccaaaebabbceabccbecebabdecebabcacdbabbdbecdabcedabecadaabecddccdceaedadbebbeadaddabdacbdcdbbbbddacceaabebcdbdcdbecaebdaaadadabbadaacdccbedcabdddadcacaecadbbaeabdaaccedcebaddabceaededdedbeeecdcdaedbaeebbadeddedbeddbccaedddbdadeaaaccbeccbabbdeeacdbabcaedbebcbaaecbadeadccaecbebabcbecadaddbbbbcddbeecbaadececcbdeaebaeebddabbacbacececbecdcecacccaaeeecbabedbacabdaadbedccadeeabebbcbdaddeaeedebeccdbeadcedbdcaabcddebbabeeeeddbdddaceceddebaacadbedcdaabcaaeeababedceeaddccbbeedbbadadaedeaacbbcacbbacdecbcbbcededcaabedcbbcbbccbaaeaedbadbecbdecaeececdbaecddeedeeacbcaddbaebdbeeabcddcdbddbedacabcabeadbdcddedbaeacaceebbceeabdccbcabaedddadaccaeedadcdeccddcacbeaecddcbecbcedbeeaadabebaebadebecdaebacecdebceabdaceaedddddbcccdcedeedcbdeeeeeeecdbebbabaecaeabedddecddbaebeaeeecbcdcbddeadaadaecddedcbaaeaaeecdbbcbeebdcdcdccbdbebbdaacaebdcdecebbddeecebeaeccbecadaabebebaecdbedadbcccdeedeaaeceaecdcececdcceebedaeedbcddabedaabeedbceadeccdcddbdccebbbcdaebbdeeeceedbbdcaeceddaabebdebcbcadebcdeecedabccbeebedcaaabcecceabddcbdeebbdeaadbebcbbaeaabadceaedacccccedabebecbbeaabbcaaaabdcdedabeaabaabebecedbebbdaaccdedccedcabeeabebbbcaacebbacbddeebeeebeceeaddbddddcadcaadebdbebebceaddddbbbeedbdbcedbbeddbdbabcbeddcccbbdeecbeecccbcbdedeecaaaeebedcdebbcddbcdaeabecdaaebcdacbbdbdbcebbebeeecebdbeaddcaaedacdadbebecdbababddabeaaacaaedbcdecdaaccbbdbacdbbdeadabdbbaddaddceeeecdbaeddbaedaaadebdcedbcbbceeaebbcacbbbabececcbcbccccccbcaeaadcdbbceadeacecaacadaddadceceabaabbceecbdeaaebaaddaabeaeebeaccabdedabeaedbceabbedadaeddbbacadeeeedededcaccccdedbdccadbaeaeddebcbaabdcededbddcaacacacaaabadacdbeeddbedabbceaabaecdcbdaddaceeadedcbdceadebeeacddabbdbcdbdccdceabaabbeeecceeceabdcbabdbdeebadabaaecdaaaaadaeababccebcbbcddccdbceebcdbceadeaadeebcbbceebaecdcaedeedcbbdadadeaaecccaaebcabecdbdedcadaebababdacbcbeabdddbaeeeccbbcaecaabccadebabbbbeeedbbcaeadbbaabbcdaabddecddeeeceebddcbaacddcedbdecdebbdeecdceccdbdeddeddeaebdbcbabdbeaebdcadbeeceedddbcbecebbebddecadbaacccbadcccbddddecdbeedcbacbecbdaecaabadbeaabbbbbdcdbecbbdbdbcedbcabbeeeebeceeedccaaadedcaceccdbbeacacabeaeabedddddcabacaaddebeddddcaeabadaddebeebdaebcdacbcadcbbebbaaddbeeeecabeccebcaebdbdbbbccbcbaeeddaaebbbcebbaeabdcebaaceebeccdabeddccddcbddbcabcaadeccbbabdbcbbbebaebcaebdbcecaacaecabedbcedbecaceabdbbaedbdadedcaecaabcaeecbbccebacebedddceebcebacbbedcaaaaacaabdedcabcacccccaeacbcdaabaadcddbbaaabbabacadbaacaecadedbdabdaebdbcedbdaadbeabdebaeaaddebcecaeeedebbdcacddaebebdccbaedacacdbdcadbdcbccbbbbddbaaaeddbaeebbecdacbbecdadacbbaadcdbedbbeeceeabddedccdcdbcddbbcbeecebebeadeccbdebebeceaaacbddebadcdbaebbdeaecbcdaabbccaccaadbdbacdbadddaeabadecebdabeecdeacdbabdadcdaaaaacecaedaeeacacbbdbebdeddbcbabaadabcbedaeceabaadbdbddecedacebebceabbddbccbcccbbdebcecccecdddabccbcbdabebcddbdbaadcaeadbedebacceeecbdbbecbeaeebccbebabdaadedcdecccaccccceedbccbecdacbdbcbbadeabaeeedbdaaabaedbcbeeddecbcbdeccbeababacdbdedaddbdddbebaeecebddabdeabeddadabbdbaebcdddaecbadbbbbcbadeeedbdacbabebccbacaecdebbeceacbdaacaebcaaadadeaddaecdbcebbacecbdbeaaecdeeacccbbbeddecdedaacbeeaaaceddcaedcddaddcbdeeacabeebebebcbcedbbbceaebdcbaabddaebacbeccdddbaeeccbeadbaabadbceddbadcabdbdbbbdccadeeaccccecabcaeabccbaebecceebdeadbadadddddcdcebbbdeddbccaddcccdaadbdeeabeadbaebdedbbebeabdbecdbeaecbcecedbecacdbdddaaaedcedaacadebcebbdadbaddebceebdeaacdaddbbaddeaabddbcdaadabcbaaeaddccbecdbaecbecbeeadcadbedbadaebcdedaadebacbaeaecdaeedcaaaeaacbeccddcccccddeadaaaccccadecedeaaccebdaddabcbbbecdcbececbedbbdbcdebacbcdebbcdabeebaacbdbabeeedbcbcdeedbeacdcbaecebaeababdaccacdceaecabbaddddababbebbabddbcbcdbabdaceedddeebbeedabcedaaacadadadaedddcecbdcbaceddadeccddaccbcdabcedcebbcacaedddaeddeadcdeadbeaccaeacccbddaccacdacdedeaceaadaeedddeeabababdebddcabeaabdecebbcabceabcddbcbaaeedbeeebbdebbdccaddacccedbdddacdceaebeabeabdacbadacdabddcdecbeaccbdebbbcdcbdcedcbdcdcaccbdacebcaebbaedbedecaaeeebaabbacccbcbbddcecedeeccbaaadcbadeeacacccbbdcddeabeadebdebedccbeecedaaeeeedcdaccbbadccadadbdebbddabbccaededccccbdadacbcacbedcaacdadccddcebdcccedceececbdcedcbdceceaadacadbdcbebabddcbdcacddeedebcdecbebeceecaedabcebadcaceebbacdebdeaedaceacddeababcacbbcaeeebedaaedeaaeecacdbaadeeaecedeeceaadccebcdcbdaaaedcbdddddbedebaeadcaedaeccecebdbcdbeaedbbcddabaceccddaeeeaaedbccbeebccceddecadebdedaabacdacbaeeaedbddedeeceebdacebceeaadcabddccadecabcbeadacdebeebadcaedcdcbaadeaebebdcecdadccdbbcabeebbaaedddcbdeaaccccacdededebdddebacceedbddcaedcebaddcedbccadbacaeeccbedaeccdcbbaebbddddbacaedaecadebcdebddcabaccceebaeaeddccaaddbeecdccaaeaebdaedcaceceabbcaadebbbeddddaddcbaaeeceecbabecebaebcbebcaebeddabdadeeacbcaebeecadedddebbbcdecdcdabcedcebeeaaceaeadddccdbcdbaadeeddeadcceabbcababaabdedbadeaddebbcbadaecebeacaebdedbcddaacddadeeadeeccccacddaeddabadacaceaacecdbdaedecccbddacbbaacebbccbdbeccbcccdcbbabbaebcabbbdecdbcddccdbeaacabcdebbcadeaddacaedeeddcaaaadabadebbbbcabbceabaeddcbdddbeeaaeeadcbdaeeecaececbeccbacdcaabcecaebdbbcddaccbadbabbadcebecebdbbebebdcdeaaeaebdadbbcaebecacecdeabeededeadeecdedaaaeaedebaddecaaeadbbbccdcccadedacdeeddbeecbeededdedecbeeaadbcaedaddddacaecdccecaaeeebdbeeabeecbaadceecedcaabcdcedeeddecaaeceecccecdedeecabdedcdbccbadceeadddacdbcbacbaeaebbacabebdbabdacdbeabbaceedbabcdceccccdebabdbeaaaebaecdbeaddabbcecbaccaebddeeecaeddcecddeaaaaecbeecebdcabcecbbbcdeadabebeebebeadcbcbbadebeacecedbaebeccdbedcdbaaeadbbababccddadaddcdebcdeecdbbebdabcecbcdaadcabddccebabaaddccbbcdbeabaaedaeaaacabcdddabeebecebabdbecccecccacdadbeedbeddaacecadeedcbeabedcececebedadbeabbaecadeaabbebcbdbcdabcbbacadebdedddbaeccabbdeacbcdebeccdadbceaaaecaadcacaaecbacedbbcbeaeedcceddcdbddeeceeeecadeadbcedbcceccacbebddbdbadbcbbcdebaacccebaccbcacdcceaaddcadacceadeaadbdadbdbbbbaebedeaeabeedacebadecbbbdcaccebcbbbadbeecceddbcebcdbedceccdccedaaeedbbbceebcdddadacadbccbccaddadeaeccdcdacacebcaabbeceeddeceddacedadbbddeacddeaecceabaeedbbedabdcddecbeeedcebbebbcdeaeacdaeaccbccedcddcaceaedeaaaebbddbaaaedcbabbbacedbdddbcdededeacdbdadadeeeeebdccaaedeabedeecaddcadccaeaeeadadcacecbaabbcddaeabcaedecaeedcaebedaccceecbdedaaddacebeeebddcceaccbeededececebbbaadbcacbdcdedcdaedbadbbbebcceebaadebaedbbbebcdbeebccaedcaedacedcdcebdbbbcebeacebaceecebeabeeabecaacceacebcdeccbebbaacdcbeeecbbbadbbadadebdccbbdccecbdbacebdbdcceeabcaedccebcabdbbadcebbedcadbbccaebcabdddeeeadeedbbacbcebcaedbdecbabedcebbdeccdbbadbbcedadabacbcecbcbaacbdddacddaddcdeaccdedbebeebadccedadbbeeeadaedccddeaccececbccbbbaececcaceaedaecadcceedacceabaacaebcbbbabaddcdbabeaacdaccdbbddabdadcdbebcedcbcacaabdbcbebdcbabddbcdbbbcbcabdaaeebbddeacbabadbbcdcaaccabdaecdbcbeaaaeceededbddeaedaadabaccecceacdbbedbbdcabaedebecaeebcaabeedebcddcebbddaebccbcdbbbbccccaddeaeeeacddeeccadacadcccdebdaabaccbedbccdedbbeeecaeebdedebdcabbeccbddcdebcbddbbeaaadecbabebaedcbadbccbdecaabedccaaecccdbaadeccdeacddbaadaaaadaabaaacbdbcbaabeccccbbdbecdbbcdeedbcbccbadbeceadeaecabedcadcadbeecdbebacdecaacbddedecbbedabedebaacebcdbeedabcbaadbcddbcddeeeedeaadaccadeabcadbabdcbadccbcecdecaebdddddbcddaeeacbeaedebcdcebcccedcabcedbeadacdabdeebaeebecdeababbcbadaedbcdbeeaeadbeceddacdbabecddedcbdcceebeaeedebbacaeedacebdaeeccbbddabadcdebdbcecbadbeddebaeeaebebbbbeacecddaeaadabdceddbbaebecdabeeeedccedaabeeedeccbebadbaccbceeedebacabaebdddabcdedacdccbeedacaceecbccdaabadcacaebecccccabeccaeccabbeebcdaeecccdbceedabeabecddadcdbedbdbacddebcbcdedeaeeacacdbcbcceebeccbaabecadcceebacabecdacccdebccbeabbaccdbeaadebedbbddeabdeddedadaceddabddcdccbaeecbcececaccaeecdedbbacddadcadeebecbbbcaaccbadeaecebdeecebeabddbadcbccdabbdcdcddeabcdeeaabaeacdcecdecdcdecbacdabbcacaecbbdabcbabcdddbaccccdaaebcdababddbacbbdbecacceeeeddddbdeeacebbecbdabbaedacabeaecdcdaaecbeabbebebdaadceeedddbdadadbacecdcddcddcbcaccddbeadaadbcddeaaddaecebaadebaedccacabdcabeadcdcddcbebeacdbcedbbceacdeeaddddedcacdbeaebdcbdcdabeadadaccaebdcaaaeddccbbaeabbdebbcadbeceabcaddaecddbcecbaeedebbeddcbcdebabecdbbdcbedbbecbeacdbebaabeacadecdeedaaaeecbbdaaedaaaeaacedaedceadbabaecedeabecdaedeaeeeaeceedbbbccdaedcdeaaddcabeddabacaabccaddacbaeabeeaebcddcedcadacdcccbaeaecbdebdeadcadcdeeaadecbbcbccbaabdbdbdcdbdbecdbacdedcbbcdddbbcdebcdedabbaedeacbeeabbabecbcbcabcaccedcacbdacacedccbaaaddedebdbaccebcccbddaedecbdbadeebdabddacdddbebdabbbbeaecedaedcccbebcddccbeaeacddacdacabaeccbeddbcdcbeaceeeaadebacbecedabccaebeeceeedbbdaadebdedeabaacedcbaaecbedbcdcacbbbbbceedbeceeedeabbdaecaddbaebcdcaceebbbcccdeddabbdceddabdcacebedadaebcedabdacbeeecdcdaaccbaecbbdebdcccdbcbddceeaabceeacedbccebaecaceddeaacbaddaebcedcdbcdcdbedddaacccdddcebbbcdeaabddbbdaccccbeeccbcceaaeadbaddbcbbcbedeccedabaeecdabccaaabbbecebadcddaddbaeacbebccdebeabeddaadacecdceadcccbdceddcceceecedbaeaceadbcaedbeaeaabceceaebbaaddaaaebeebddccabdbdababdacaccadceadeedbbacabdeebaacdaaaeaaeadaadbcbdcbdaebadebbcadcaaeaebebbebeaeabbcbbedbaecaaacbebbcdabaececddeccbecdcddebeaecbbbacdcdaedaedbabebdbedcdbcaecdbeaaccaebdeabbaeceeadddccdbdcebaddbaeddbabedbecdcebacdbdbdcccabacaaaaeecacdeeebcaeaadaedbbccddbedaccedceccdadabdeabbcbeddbbcbabdcedbedcedddedddaebcbccdebdaaaadeceddacbbbdbdbdeaebbccccdaeccaeaceaddbbcedcdcebbabeedaebbdddddacdcdbedacbdbedebedbdaebcaedcebdbeecdaedaaceecbbdaccecddcbcbadadabedbeacedbcdbbcccbaacaadcbdbbcebdeeacedbcabdbccbedadbcdeebbddedbaeecbbbcebacbeaecacdbbbadabcddcaabecbedcbaeaabbceceedbcdeebecbecaacadaaabeadaeeddaadaaeacddbbeebaacdababbbeadecbbabacbbabddeacaabeabedaecaaeeecbcccaeebddaddaedaccbddbcddaebeeebdababdadddededdcadabaaeeeeedbecccbeebeecdedccbabebadeceeeccabedeaddacacaedbcebceccaeaaabcaebcbaeaaabaaaedeeceadcabeeeccaaccbcbabdddceedbaccceacecaeacbbcdeeaadbacacbeaaaceddecdbacbedcadcbeaaadbbdbebddaccdceecdceaecaddcdcddbeedecacbdcccceccaaecdaaeddbdaeeadceddbadecbcbedcbcebddacaebdccdbebbbdadcadeebecbdbbabdedcaecedbbbabbecbaebdeaacacdbdcccdeceabcebedaeaccabaddbbdbdbdcbacdacdaedaddccecbbbcbeedddccaeeebecddadabbdcdeedddcccaeaeebeecaabcceeaebbabdebebebddddaaaaddebaeaccabadcbdeccacdaedcacbbadeabcabadbaadbdeecacbaacbdcaccbeeaecdedccdddbcdadabcbcebdaeceadcdaebbdadecdaeaedddadccacadbaecaebaaaaeccbbcecdabecbedadcabcebbcdadbbacbbebdbaaddbccbeaddeaddedbddaddeadedeabdecdcacebeacbbdeaaabdcabbaddcadbdcceeabdadcaccebdeeecdeaabcceaeacdaedbebbcaecbceecbebacdadbeaaddaeaaeebcddebaccbcbbebdcdaebebdccedaeccacdebebbcbcbcecaccbabedaccacdcadebaccdeeecdbdcceecdddaadabaacababcdabddaaacbbecdccbaeddaaabcdbecdcbdbececdddedeecbeccaedacececbeaeeaedbadeceaeceddbbeacaedceaeeddabccdbbbdaaeceebdeeadcaacdebbaeeacbdeaceabacbabbabbbcbbbaadbedacaadabbaddeecadedbaeceeccdcccdaacaeabccbeceeceaaaddeaeddadbcaadcccccdccdbabadaebbcbbaaecccecebdbaceeaeccdadebccdbbbcbadaeeeecdaaceebeadbcbececdbaedbedbaaebeadccdadbbeadbaeebdadacbeabacccaaaaababbedcdaedadaececcabccceaedabbcdeebaececbebdcdbaaebedeceabdcceacbcedcdbaeacaaccadaeeabccdbdeedbaacacddacbedbebccceddabdbaacdabcdebeebbdacbaabccdaeebcceabdebedbdccaadabcbedeeddebddcbcdecabdeccaedddcaddddaebaecdadbaebeabcaaabbcabbdeddebddbaeabaaebbaacbaccccbeabecdacdcbbceeeebccaaeeccbbbacdcadceacaadedececaaeeccedaebeeabeceddcdeaaacbaabcecaebadeaebbbbaebbeccddeeecebececceebcebedddadcebccebcddadbadbbcadaadbddadedceaabbaacaacebabccedbeedeeacabaabecbbebbadbedccecdbecbacdccebbdcdcacacbaedcbcbbbcbebdeaecbbacabbaeeecadaacdcedaedbacbdbeebbceadbcbcdbbbcbaacdbabbacbdecacbbabdbdcdaaedbddaeaacbbeaacbabeaacbbddeaaebacbabdbdeddcabbcbeecedebeadebedeebcbdceedacdacccadcaecbcddabcbcdcbbedcadedccbdbecdbdeeaadacabdcdcddeadcbeecdbccbaccdcbcbebccdddadaeadcdaeaebcaacabdddeaceccaeecebdecbcdbeaeadeeeaaaaeeebeabdceaddeaceccdebaaecedcdcbacdacecbbcaedbceabbeececbecaeedcdaaceebeaecbdaeaecaaebaacdbdceddadbdccedbababadaacdeebbdcecabdbcbabaecaabcbcbeebcedbbbbcccadeabdbaebdceceecaaadeccdecbbacdcaaeecedaabbbdbaeedcbcdcebecaebeceddeabcedbeabaeecbaecdaabdddeaaaadeddbcbdbecbacabddcbaecdaedaeeecadbaecebcbeddeeaccceeabcddaebaebbcdadccbebeebaacaebdedecbddbcbebbaceddebdcaceddeaceccacdeabaeccdaabeababadbaeedaedbddbddccbcbabdeadaeebaaacbaeddbddabbeebeccbaebedebdbdecbceeebebcacecceccccdceeeeebeabecdebdddebdbdceccaccbeeabccbdcacdddaedbceaeaaabcbcdcecbbbddcdeeeeadccceeebadecabeabdcbcdcdbbddbddebdedebbebdabedceaccbebeeeacbbedeaedccddacdbbaceaebbaaddaacabaeaeecadedcceeaceabaebaabcdceebccaeacdbdceeaddaaecbaaeeacedddcddeeeaceebbeeebaeecaaeedcedabebbdcbacecbbeceabecdecbcdccdbeedbddbbeabcbbdabadcbcdcddbceeacccbddacedcdbaeeccaeddeeaabedaebebdeddbdbbaeeddededbabbebbcdeecbaacdecdbdceecacddedddccaebaddcbbcccabeebeeebaadacdbbcbdcdaeccdabcccbcdacdddddaedbceebeacdbaccdadadbedbecaabcbabcddbebdeacbbabaeddaebdbdcbdcdbbaeaacebddbabcaabaedcaaabaacddedcccebacbdaacdbdddaacbceceacaabdaacabdbbeebccdadcbcaebdbbeaddccdbecbccaeeedcadbbdbddbbedbaabddccccbbebceeacddccdbdbeebccdbdbacdbacdceececbbdeebbacacdebcccaaeeccecadeadbebbdaadeecaaeeeebdcecbbcaedcdcdbebecdeaccebdedbcedeceebebabcedcaceeeebedaaebcbacdeecccbbaabbbaccbaeabbedacadacbbbeaeaedadecdabbacacbcbadbcedabaeeeedcedaecacaddbbcdbececbbddbddabddbcacbbeaaaadeadebbdcaaceacaaebddbdadccaedccbedaaecbdbbaaaabcbddecbdebcdaacdeaebeeccdecbbacaaabbdacabaedbecdadaabbacaadebddbdddbbdadcccacdaeccccceacaabbbedeaabeeebbccecaeeededdbccdaeedcbbabaddeecceecdcebaabedebdbcabceeebbdacbbebdaedbecbbbddcabecbbeebaaebeeeeddebeabdaaabdbbdabbdceecbdaaeeeabdcbdcadaecdbeacdaaeeacbeddeaeaabcbdacaaddadabdcdaddcccccdcbbccbcededaccbababbacecaceecaceebabbceceaadddceaeabadbcedaeccddbaeecacdbaadbdcceacdcaeaeabddedebcacaadbaebbedcaadabdecebdcbbeaccedceeedcbbbeeebbbeebdaecaeaedddeacaecadaeaddbedabccdcbddecaaeadeaabbabaeacdadcbdabdbbbcebbaeecaceacbbeddadbdcddcbbaaebbcbedbddcbcdadbcdbadedbecbaaaacaabcebdcdaaeebcceddbaeadaeabaaaccababdbaddeeabaabadbbaadeedacdbcceacdbabeaaeaaecccbbdccbaececcabdcaedcebcaaacedcddacadaacbaccaabeccdeecbebaabdaebcaedddcbeecaebeeabdbbbdaaaaaeaedebcbeaeabcbdbabbccbeceeebbeeceddadcbeebacbeeaeececdaadaecaddbcdcbedbcdedaaabeeddceabaeeaebeaabcedcbccecbadeaecabedacccbdbcbdccaeaddabecdabaadcecbecadddebcdaadeeadbebcbeedbdceaccbbeccebeababacdeeaddaddccecdbeabeededebeebddaaddadbecceacbcaabebedaaabbbcacaecbebbdbccddaeebacebacccdccbdcabbbbceebbabecccbaacdaeccbddebaeabeadcbeacebcddeddcedcdadadabbedcdcedadecebceeeeeacaabeddedddaadbeeebdaacebbccaebbdaacecdebaabecddcbdaccdccceabbcbaddccceeeaebaceedcadaeaddeaadcbaddcadeedeccaaecaadcddbadbcdeadccecdeabeddcccebaecebbbecdebdacebcbdddbacbdbaaddcccbcddcbcdedccabbdecdbdbaabbecddcdabebccaaaeadadbdabdbededecacceacabaeeaaaeaeeecdddaabdbebcdbceaecdebebdacbdbcabbbecddcbeadbbabeeaecacdaedeccebeccbbceedaebacbcbaebddbeadbaaaabbcbdedcbbdeadceacbeadceacedbceeabdeeeecebccedebeedbdabaacaddaeabaccedebabacceedaabddcbacccbacedecededbbceaceccbaaaabbdeecceeeeebacbbcedcdebedcaaebaceebeaeabcddeecebdaddaddcdaeceeadcdabdeacaceaedcbcaabcbeccebdeeadacbbaadebceddabdbccbbebeadbcdbcddbeccadcaeecbccbcdedcccdeaaddbcaaebdeececddacebabbaacbbadcccdcbeeeeeebcbecebdaedeccadabecddcbcbebcbdbbabaaeccebdacbaeadbceedbacacdbaabbacdadadcdadcaabdbcaeaaddbddbdcdcdbcbbbeaacddbcceaeeaebbccbabcbdbebddcbdebaeecebdeaccdcebcaecacbcccbeebacaddabbaadcebdeadbcabcdecbbbdaceebeadcabcacdeabaebaededdcccbccabebbbdbddacdbdcdcbeaedeaacbababdcacdddbcbbbadebaadabdcaebeccebdcdbbddeedadceaaaebcaeddeacbceadbbdbabaadacdbbeccaeabeaddedaccbabcbbecebbadabeebebbababdecbaeedacbededeccacadecadcdaabaacaaeeeaeddabbddabccaceeebcdbbbecadabcbceedbcbcabbcebaddddbeecbcdcbebebbacdbceeedcdeacdbdcdbeebcccddccccaddadeabddbcbdadecdbbaacbeecaadacaadeedecbeddbddabacaeedecbeecbbceaccbdacedeeccbddaeeecacdcebeebcbeadebeaddccbdceadecebdeccaedeedbbeddbbdeabeccacdccbdaebccedbeddbdacbbabcdaaceadceddadbbcedaabededbadaacdaacccdecaaceeebacddacbebebbacaedbcebacbebabadaabcaadbebdbdaceacaabaeadaacaacebcbdcabaebedcdeeedeebcdadabaaadbddaddbbbedccadecccdadbdadcdcddaccbdbdebcecebebeabbdcecebeabbecbceadcdeeaadaebccbdaceccbcaaabbbccceaecbebabadebbdddabaaeadecabaceecdeacbeedaeacbdeedcdddedbebbaabeeabaaedabdcedccacacbacbaebacddcbabbdecadeaeaeaddcdcbbabaaeeecadeaeadedccdcaddddcbbdaeaadebadbbecbbcaddcaedaeebeaaaddaadbdbbebaabbbabdeeaeddbaeaceddbdebadbdbacdacdcdaedadbecbdcbdaaddebddedeebcbcdbaddcacaccadbbabeebdbcddbbcebdbbbdbacddeaeeeccbdedbedebcadeeaaadbeecaedabbecdbedabaceecabbecdceedbaeeadcebaddaedaeecdbaadbaabdabeacbbbdbdaaaedccaeeecbbaaedaabdeaddebcbaddabaadeacdbbbddcdadbddeacbabbadecabaeecbaeddcadeaadabddbeacdbdbcdebacdcbeaebbbebbddedacceecaebdbacccbcdebaaebdedcbbccedccbaabbeadbdacacebecbcacdeaacadeeecedcaddedacdcbcddaedbccbcbacbadeecbedbdaaadcbdedcaaeaacdacaedaccdadceccdcbcecdcebdecceeceececadeacdcceacdccbeacaeadeacecaeedeacbdeeeaceebdbeaceacbbbdececbaebcdedabebbdebbcccedaceabbecacddacddadabdbccccdcabccceeceacdeedbeeacaebcdcbbdaedaaeaddedbbbaedcadddebabeaeacddcebbebecaecbbdecdadacbbcaaeedbaebacbdaccdccbcaedcdcebedbdcdbeaeecbcbdcadabdecadddeaaedaddbdbdaaabcdbbacadcbdbbbaeddcacedcacdebaebadbebcabcdabbcacbdceaaaceedbadeadcbdccdebbbedbbbededbaeaadadbdedacddccecdbacbbeeebcacecdeedbdbcbedecdceaabbcacbaeabeacaccecbadcbbcdceebbbecdbcadbdecdebdceeeededdcbcabedcbdbdbebeeaddcecebcecacccbaebcbaeabebdcaebedbeeabbcabbccdbbbdcaabedddeccdecabcdebdacdbeecbbebaebdbaebccabbacebedebbcebabebdbdabecaabedcebcacbdcdabedceddcbaeeeababbadecdaaacccaebbccdeaaabadbbcdedbbabbdedbcacbaaddccbbedcdedaacacddadaacdbaaedcdcccddbaeeccaedebdbcbbecccebebadbdcedeccdbeabeccadddcacebdaddaaaecaadcddcadabdedacdeacebbeebcccdbcdaaaacaddebddaacdcedcaebccacdbccadeeaaeacbebbcaddebcaddabbdacbcebeeadadedeaedbaabccdacebeeecddccdaebbccbaaccbbaedadaebcacbbebdecacbaaaacccccedebbdbdbacadaeabcadeeeececcdaecbeacbcacacdecaacdbcddabcdcacaadabcdabaececabadcdcddecabadcebeeeeacaabaabdadebdbacdeabbcbdadddedbebcdbcbbbaecdccebeaaadddcaceaecacdaedabaabdcaaeeceebcbbeaeecbceecbbcccebeabbceabbbbaedcaaedecabdbaccbcbaeabacadbeddebdeaaebbeaacbcdddaeeecbdbaeebaabedadaddcccbeacdeeccdbbbaaaecdbaadaecaaeeceebbeabcaacbaacbceccbcaacaaeccbdbdeacbbbeedbccbccaedbdacaeabedeecdbbebcdddccbebadeecbaeeeaecdaaeeecbedcaaeabddbbebccaedcdcebdbcccdedacdbcecdedcdcbedcadedbdecaabbcbceaddddedcdebdaaaabadbdeacbccacadabbadceebdadcdaecbabccacaeedcabccbdbadadeedabaacecccadddebdbdceccdceaaceebdccddcadddecececcdececebeceabdbdbaebdcedbceaaadabdccaaaebdcedceccaaceddcecdebacaacbaecaadaeceacabcedeadddbdededcabbceababebcecebaababedbbadedddccdbcddecbbebaabbcdcdaaadeeebdaabcadeebdaaaeacbaabdcecdebdeccddaeddedabcabacdbadeaacaaaabeabedaaeeccbcbdbeabcbaaeccdadcbcecceeccdcdabbbcabebaccaaeacdecbcedadceeebaeccedbaadedbdecbcdeecbabdbcaeeedbeeaeadcbccabdceaebbccdbeccbebbbcbdcaccdcdcecdcabbdeecbdebabebaeaccadedbdbebdbeddccbdbececbdeeabececbcadeaeccacbdddceeeadbcdaebaddcadabeabceccabbcbdcabeabcbbdcbdbeceacebddcbaeecabdcccebebcacadabeaaaeabcaeadceadeceecbaaaaddbdacdbdaaddaaccbaabbddcbcaeecbbeccaccaeaceddedaadadbcbdcecabedeeaaaabaeeaacaebdbdecdcbcbebaeabcababdccbeeddaadaabbabdbaabbcceddebdadaeadadcdadadaacaccdedabbdccaebeacedbcecabbcedecedccecbbbbaaccaeeaddcddbdeabcecbceebbddcaeadabdecccedcbccceceaebcbdeacabaddeddcaeceaebacbcbaddaaaedbdaebdeeecbdeadbdacaededccbedebaacccebcdddcbeabbecdccaaacbdaceabbbdedbddbecabbcddaddebdaabacceeceeacceaebdbcadedbabcadaddeedeecddedaabeacccbaaccbbcadeeebaabdbbddabcbdaccbaadbadaeeeececeeddbbeadbeebacaddddcecdebbbaeabbcccaadaccbeaacececbaabdbedbbacadaeedcaccacbadeeecbcaedaccdbeabbeadaeebcccaeecdaaddbaedbedaacaebdbdddaedecedcdedddeeebadceedcceceedbcbecdeadbcebeaeadccdaacacbaecdaccadbaaaaebceacabcbeacabdbebabdebedccaedaddcababebccacaacbeacbcbbdecabccbbeabbadaccdcdebeeebeecadaacdaaecacdadaeabdeacaededdebbbcccbaadadedddbedbdccaacddcecbccbcaeceedecccebabcdbacbabcaecbcbeabededcddcdddedadbacbdebbcdbabdcdaeebaddabeacbaaedaacaaeadcbababcdeaaacdbaddcbcceaccccdbbebbcedeedbeacceaeeeaadeeaaedbeedeabeeceeceecdceedaddddccdbecdaceeddaebcbeabcdaabdbabaebaadbbcbabdbdbeddadabcaccacdcbdcddbdebbbbdbdcabcbebacdebccdcdcaaaeaceaaebaacccebcdedddccbdaedaabcbaebddadbbaaccaeaebebecabdbebadedacdadadaadbabdecccbdceaaabcebecbccadceeddbcaeacaaaddcbbebbcdcaeadceaadcbbddacecbecbbdbbbebddcbadbcbaabadcadbccdebbdacdebcbeaeebbbcbcdadbbcabbebbadaaaaaaaeeaabcadbdcbbecedaeccbeddaddcaeedbbabbdcdacdbddcbbdaabaaecabbcaadebbacecdbbbceededddedbbbeecaaabbdbaccdbbacbedaecedeebbcebbcaacdadeedcbabdcceceeeabaaaeabacaabcabcddebbbaeceaccdceabecdaeeaeeedabddacddbedaeecaedcbbebceaddaeedbbbccbacadccebbebaeaccbcbeedbbacdecadbdbbbdeaabbdbabacdedccaababdabaadbdcbbecdebadadceaeeaedabeeacebaaebbccdabedcebcdbecbeaceebcbccadecceeacdcccedcdbdbdbdcddebaaaacccdacdaeacaeeddbbbbaeeabaecebbecacbbcbbecdeeeacccdedbcbebbcddbacbaecdbaedbeaaebebaaeacccccdadccaaddaddbebdabeeddccbbbadcbeeaebaaedbabdcaceeabacaabbeadedaeabbececadeadaeeecaebdecdaaccbaeacededbaececadababcceecacaeaaeceaeacbdbabdeccddccebcadbeadeeadceccdabbeaddaddcbccdddbecbbdddededbbbdcdeddeecabeccbdbdbdcacbdccaabbaebcbdebbbecdabedbacaabbccaabecbaabbbdbbcddbcbeebeeeadcececaceecdadddadeeabaabedbcddceaecdbbacabdcacdbecdceaeadbacaecaeebbeababaeddbdbacabbaeeeebadeacecbeeeaddadceebcaedecdbbecabacacaddbbbbacbeddddabccabdcabeadaccacabeadadbacbebdeaecebcdaadceeecbcabceedebdcdedabddaebbddaaacbdcbeeeadedccdbbdeeddcdbaeabaddaebadbabcdceeacbbeebdcdeeacbddbbbadecdaccdacaeddebeedbecacddcdccbcaeeaeeedcecdcdccbecadbedaebecabceadecaceeeaccbbbbecccdbeccbdadeceeacacabbbebbcbdcadaccdaabdcbaaaebddddeaeeedeaacdabedbcacdbbacddedbbeaacdcddbcadbbcccdaadcbeebbcdbeecaaddeacaceabaddeaedbdecebacbdbbdcebcaddabbbacbebdcbbecaacccaccadbecdccadadcadbcdecaaedbebbeeebddaeeacedcccacacecaedcaadeaeabebabdebbcdecacebdddddcaeaaedbdbceacedadedadadcadebdacddcccedaaecccdeeebbcdbdebbecdcabbacdbbdbbceddaecbdcecacdecdedabadaadaecebdeaeeddaeebdddcedaceddababbebdcbbbcebbceaabeeccdebcdbdcabbbddadabeeebadccedaecccdecddaeddbdeccbbaaadcedcbeaaabaceeecbebacaececebabdabdadeadbcdadcebaaebbabecddcacdebaccbebabbbddacdcbeedcedbcbccbdccdeebaabcddacdebadbabbcbdcbbdaceeaecadaacadbdbccdcabaadcbdecdacddbeaaaccaaadceaeccbdaadacbcacbacddacdedeecdcadddceaedbdacddaddcbbaaadaededeededbbbbdbeeebadccaaccaabeacacdbdbceceeedbbdbaeeeeeeeaececcbbcdddeccbbeadadaebaebbceeabbdeebbcbcecacdacdccdccbbebbabeddbecdcbcdeecdbbaaecdcbdadcdcaedaaaeedaedabcecbbcadbaebaecdaecbbbdeedcdbeecbaacbbedbeeddcbacebbdadcdabcddeecdcabdbeabcaeabaadebaecbbacddadaccbabdecdeadbbceabecbaebcdaaecddacbaecdddccdeadacbeccbbccbccabaedadbddcdabaabaededdaedbbcdacbeeeddbaeecdaadeeedcdcdbdbcbebbbedcaccbbeacaedadbcecdcbdebdeebccddeadbbebabcabcdecaeaecddebebaeebaadbddeccccbeabcdecacdaadbccdcedbddddbbadaabadddbbbabbbcbabdedececadbbbbcddcdcaddbeaddbbbbdaecdbdddeeeeeaeccabaaeddaaeaeaebedebddaceaaceeaccbdddeceabaaacabbaebeadccceaaabbdbcdbacebdddebcbdcddcbdadbebecddcbbeeabadacabdaadadbddcabdeebceddedbcdbdadaacabdecdeebabbedccecbebedcbeadecdeeeecebdceedbccbededdbaecadabcaeaeaacbacaebcbccdebdddedddccbddacccdbdbccdbedecbeceeddebdeaeaddcaeaeaecedabebcedcabeddeacbadbedecebbbcbadaceaececbdcaaabbcecdaeebbcecececccddadccaddabdadcbacaceadaccdbbbadeaeeabaebccbeaceceeaeacdabbcaecccaaabbcdbdacebbaaeaccedaaeadbcdedcadcaecacaaabbbcacabacebbcbbaedaeabbecdbcdecbcdbcaeecddaacaedadabbbeeecceacabacdbdacabebadcebedecddabeecdbadebbcdbadabbcbdadccaaabeabecbebccacebdcbddbbeaacdcddcbeddccacddcabdcceeccceaebaccdbddbceaabaabbdbaadcdccdcbddcddedaedabeccbaadddbceabcbadcbacebbdddbdebbdeccbbebcabbeccabeddbddbacdcdbdedcaccbaddccbeeddcdeacbceeddaacbcbcdccaaecebeccdbcbdcdaacaedbdbbebbcbadeadceaebadbcbecaadadabaaacdcbcbdabbeaadedbcdbecdcebdcbeeccbeecaadaadaaedeadeecdbbabeeaeaaedeccaeadbcdaceeaebabdcddcbbdebcdcceedcaacbccdcabdceacabdbbddbedbcadbbddecdeadcadcbebacecbabbadbddeebbcbeddbddeaccedcbaeedecacbdbabdbcaededcdeaeeebdecaebbbbdaabedaaaeaedbeeaaddbabebbcdbcaacadcdaddbcabcababebecdeeaacabcbccbddddaccaecbdddaebdebbbbaaedadddadaeeebdbdbdececdbcbaaabbdbdebacbbedaceccebeeeaadaeeabdebbdcbadbabecaeddebededceadccedebdeecebdaaabaaaccbabdebdbedeadbbceacadbaeecddebcbddbbaadddbeeadebcebbeadabbcdeddeaecebcacdaaecdeeaaeabeedbaadaedddcbdcdbbbddbabebcdccaaadeddbbceacbbbdeeebdedaadabeeceebddebabbeaacbbaedddbcacbabccedcedabcaeebaeadadedcaccaeabebeeeeabacceccddbcdadbbecbdbbeaecaacdadeedcdebcdeedebaadedaeecbebccebeeaaadbbcadacdccdaeeecbdbedcbbdadecbebbbebdbebedbebccdecddcabcdaeebacbdeadcbebddcabbcdcbaddabeadbaecddbaeecbdeebcadebaaaddbaedcedeedadbdcbccbbbcdcdcdebedbcebeacebaacddcdbcdbabdacbcddbaeadbebddcabdbcedebddbbabbdedaeebbcdbbbbbccadbdaeebecdadbacecdaaedeceeedbaebdccacdecccdebbaabcacccdeaeccdcebecbbcdbeacaedebdcdcceabccabebcbceeaeaacbabacceeeaebcacdabdaadceaceeccbdabeaeaeaabdcbbabeabaaadbdbeebbaedccbeebccbcaececdebeccbdeebeabecbccdcbeaebdbedaabadeeaaadddeeadbeaaeaccbeccdddceadaadabeccaadedbcdaddacdaacbdbcddcceeeeaceddcecadaccebcedadbaabceeccedecbdeacdaddcdbadacbaaddaacbcbadddcbeececcececbcbaeeecacdaedabecbbcdeaeeccadedbddedbdcdeacdcdbebbccbbbaadaabcdeeaccacdecdebceecacedcacdaececbaadddeabbbddceeababaaeabbdebcadddceecabaeabeeeccedcdcebecbcedbcebbaadadcaebddbbeadcaeceedcdbdeceeeebdcdcacababcaaedbecbabdadccecabacbadaecbecabeeddbcdbdbaacdacccceaacbecdcbcdaecbddcdcbdedceaacacccadbedeadeeebeebcecdcbbbcbaeccadaeacaceddeebcebbbabdedbccaabeedecdeceeaceadeccdbaceecececccbbedbbbcecadeacbadaabbededbbccdccdbdccbabeeaacbdbcacbcdbeadbdceddaebaeaeceaaebedeaeddcbabadedcebdeddebccabaabccecdecdddaacbbabddbbccedaeededacedcedbedbbedcdaeddaabaebacebecccaedbecbdaddcecbdeabdedeabadeeabcadadaabbcabaeaaabcacaacedcbeeedabaaebbbdcecaabbabedacdcbbbaeeccdbdebcdeacdbcacddcabadaeaebccdcaecdcacddcabceadedecbaeecddaabbcacaebaaadcbccaccddeeddcdedadddbbaaedeaedaabacbeeeeeedcabdeebebabaebedecadebcdaaceedcbdcbabbaebadeaccebeadaceaabedacdddaecebbacbbbbaeccaeaedecbbebaaabeaeaeeabaeadbcdbbdebbbccedcbddeeadcbceeabcdeaedbebaceadaceecbebadeaedadbeeaedaeeebcacdbbdddcacbbcbeecdbbcdbaceaaeddccccbceaeaaaedbabbdadccabcecdacaabbdbebabcccbcdabcbceccdacabebeadacebbaceabddabbabdccadbbabebdeccedadaddeaaededcebadabcbbbcaaaeddddeeebcaaeeedceabdeeaecbbbcdabdcbbdcebeeaeaebbcdbabccecbbbebabadeccbceaacacdadedbcdedadbcecaccdddeacbddbcaaddadbbdcaaabeedcbaadccddedabceeededcedbaadcbcadebedeeacabdebadedacdadbdbeddeecadbdacaaeaaceeadcbdbdadabdabdacbbaeabdbaeabdcdcebddbeaaaeaccebccbccdadbbabaadcacdbaabcacdeaecdedcbbedcbebcacbddcaaeeedebdbbeeabdcccaeaccbbecdaabbecbbdacebbcdadcedbbcabbcaccececaaecebbacbaadedbadadccbdacddebdcbedbaaecbceaecaabeccadcacaaacdabcebbbabebaacacbbbbadbdabbabcebbdebeadbdbeccdcaccceeeadcaeedbececddbecabcadddbbdddeeddaaabcbdccababddddbdaadbacbaadaeccdeadceddddcadebdabbabccccacadbceedadbaeaedaceececdcbbeaebbeeabaabebaaabcddccabaddedbaecebdbececaddabdbadbadbedbccedcbcacadbdbdbbbdaccaaeeaeabdebabaacbaeacebccdcdedbdaaaebeaabcecadbbbaaacbbcdabebbdddaedbceebebdedcbbdbdcdcbadebbbdeabeebcdabadcadaaccdaccdbaebeecbbdcaceaeccbdadbaaabbbcbbcdcacecdeecabdaadaceedebbcaaacbdabebbadccececebccaabedeaacdbeeaebbeeccdbccbebdcccbebcbcddeccdcecedbbcacdcbbdceaabacdbadabebdababddacacabadeedccebdaeeadbbaebacdccaebbbdacadbdbbbddbccbbbcbacbacdcbcadaecceaddbbebbeecaebacaebceebbcbcbeddbacaeddaedbbcbdeacdaeabdcdeccbbcaeaabebcbaeadacbadeebabdebbbeaebbdbeeceaaadbaaadaebbcdadecaeddbabbeacabbaedeeabaaccdbdddadcdcaecbbcceaecdbecccaaeccbebaeeaddabdddedddebdadceedbcaeacaebebbeddbbeecbabadcdabbecbdcadededabbbaeadbeaacddceecdacdbcecaeccaecedcdcdacbcdccadceecaeccaccabcdbeabbbddccecbcabadacabaeedbbbbccecabeadbbebaebeecbecebdbbbebbdabddaaceedeedaabecaadcbabeddadecaccbdadcbdebcdcbbdabeaddecacdeedbecdebcbeceddbcbbeccbbcabababeccbebecbbbbbcbeddedddccaecaecdcbbcbeceaddbdedeadcbeabbaabcdecebdaeddaeaaadbcbadeecaddaadbbbcdecebbbedbebbdcecddddddcaacdaeddbcabdacdcaaaceecddbcdbedbdecacadabcbcbbeacacbaedaebeeabecaedccbdcabcacccdceadbdcaaddccebcaabedebacdeabedbecadbabbdbabbbadcabebbdbcecdbcdacbceebbaadebddbdbbbbaecddbaaeaecadbcabcbdccadedcababedabaebaccdcdcdcecdbeacbccbdbdbedacdddebeebcebcebeaaeadddbbcaedcdaacbdddbbaaedcadddeecacbdbbdcaacdacecbadeabdceccdbabbdbbebcceabbbbbdaebcbebecedeeebcdacbcabaeadabcaaedacbdbbaebbeedceedabdcbcbeaeadbbdedadaebadebaaaacacbcaeabaeccaaaddeccdbaabbcebccdcbdcccceadcdadaaabddadedcbcbccaaecbaeaddbbdbaeecdcdbbbbedabbedcaaacdebbcceeedeebbeadebedacddcaadbbebeeaedaeddeabbdcdcadcdbcbcaadacaddaaccaaadabdebdaadaabbddcbcdacdecaddecaaddeadeecddccebeeedddcbddccdaeaebabacebcabbdeecadeeeacbbabebaaebadedcdecbcdbbeecceeadcabdedeccdbcbdeeaaecdcedeecdbacbadecdeeaebeadabdbbcccdedbaeeecedaccababdeabdabeccceebcaadccbaebbecebdeeadaeacacebacedeebbabdeabbdcecaeddeeeacebebdcdcdbdeacbccabdcdecccdabdbbdeacebedcaaaaaaecaddedabeedbaebadedaeaabedeabebaedbaebccdabdddadaeecaebdeedecbaedeeeebcaceaadbcabcddcceedbbdeebaebaecbdeacaeccadcacbbabaeeceebaeecbcaddcaebebdaaedeaeabaecdbadcdcaabaddeeadbeeceaacdedcacabccbeebbaecececdaddbddabbebaecebccbbbaaaccbcbdeebbaceceabbcbbacadbacaaecebabbeadabadbceaadaccebdacdeadcbbedebdcbbdbbbdabeeacdeebdbdecbdaabbbcaeabbbeaebacabeabccedaebbcadebabbbaaddeebceedbceaaacdadcceaaaedcacaaebaadddeaaeceecdcbcdcecddbebcbaedcbeddedcdcabdbacdabacbddbeadaeedeebbdeaedecdeaaccbecdbecceebedaaddbdbebddeddbdbaccdabaaedaecbadbddcaedebaeadebceeeccbaddbbcbedaccbaadaebcbbdadbaceaacbdaccbccddebbaacaedbaadbbeeaeecadeeeacebaaeeccdbddcedbcdecbbcbbaeaaeeecedbadbcedcbaeeedaaebaaccecaeaeebaaeedbaecedddcadeeaeaccadbeebdecccbdabddddeedacaeeabeccadddcbbedcbdcccebcdaaacdadabaccdabbcaecbbccebaedcddecaeacedaebcdaaabcbaacdaaeccccaecacaedadcebdabedceeedcddaddcbceaaebaccadadccaecbdddeedcebbbebaaadabbaddedcceaecdadaebaabcdcecbbcecbdbcccaacceddbbddbeceadedeebaceabbededdddbabecaecacedeedbebbeddeadeeaaadcbbcccabaaecaaecccebabcdddddebdbebeeacabecacbbdeacaebdbcbbcebbbcabadcbbdbbccccbabadeaceacebcbdedaacecacbbcdedeeaadcbabacddddaadeeebdcbecbcddeecaeddbbccdcabebbecdcaaadcbcaeaaeccbaeabdecebdecebbbbabccccbddcaccccaededecdceccabbdedacdcbceedbdcceeaccbbadccdebeeebaaadeaaecaeecedcbdcddacdbdcddaddcecdeddceeaddbedcbdcebbeccbaeeadbededbceabdaebebcbdcdecccedeadeeceacbacbabaebdeeddadebcbecacebedccdaeceeeabbedbbaadceedaaecddbaaaeaedecbcceeedecacaecbceaabbcdcdcdbacdbccebaeccbdbdebabcacabeecbbbdcdaecddbadbedeebdadaaadccaacdddccccbeccebadadcdabbcbaaaebcdbdeeeecadbdbeedacacbbdacdacbbcbbdeaaececeeaaacdadbbadbebcaebddebeadabadedceedbcbaacbdebabbeabebedcbedcbeccceacddbcebbbaeaaeadecdbbdcdedaecadbacaaeaabbcbabbdcedcabcdebaacdbdabccddaaaadacbeadaabdccaaabadadcbdeebaeabeebabbbedbdaaebdaaeedabbbddcacececaabdaddacbbadbeadaddbeebcbebebadcacceddbaabdddabcababbeebcaaebbeaeabeedbecedadaeeedeabdddabbcdedbeaceedbbbcbaddbbccaceaecbeacacdadabaedaededcbeebceccbabdeecbaeaadbcccdbcbcdceeaceaadabedddbdceabbbbdaeeaeacbacbaebacaeeeebabadccdebdddadeccddaceebbebdaebdabbcdceddeecebcbbdadbeaaabdeeeddecdeaedbaedaecaddcdecbaebeeaaedbdbbdbaeddcbcaaddebbeeaabcbeddeebcdaacbacdecabcdbeaabbebeaecddaeedabceceebcedaeabccbddccacdcccaacccdcacdacdddddcedabedbbdaeedbdcddbaeaecaccccbebecaebebdeeceacbebcbbabcacddbdbbcacebcbbaddeadbbbcbdcccadaebebbcbdebcadaabbdaeaddebcadbdceedbcedeeaccdaadddccbaacbcadaacddaaaacbdcbaadbdbddebacaedacddeededaeaeadcaadadaccbaedadcedadaeeadaabeedaeddccdadccddeaeedeeaeeadcdabeadcbeccaaaecabdcaeacbaedabadcbbdedabebdcdeeebdceadcaeebddbacacaadaabbaecdbdabebecaabebeabbbdbbaddaccdebcdaebabcdebeadabcedcbdbecaacaacceaaceddddaaeecbcbdeeedcbcdaeeaebdecabbeaddaecacdeeedeededeaadaecbceddcdcdacdaaaebeecacebeabbeecdabeacadccecdeaaebcbacaeaedccbdeccbdeecbcbdccbecddddbcdaacbdbaadcedaedaecdbabddcdddecabacdecaadeabeedabcdcbdaaabddecdabeaedbacbecadaeadecaeaabbdbdcdacecebcaadaacddcedadcecacabcbbadcdaeaceebebbeaeaeaaceccabcabcebebbadcbbdeaeecabcdedeedaabcaadeccbaabdaeecceccdbaaedbadcecdddebddecccdadbacadbbbaaacdbbeedebaddccdbddbbcdbaaacdadebacbdbdeeecedcceabbecbdcabaeadadebeddadbbbcbadbcccaddeaadbecddbaedeedaddebcbedacceedbdcabeeecadeadeceaaeabedadceddddebedcbbbdaaddcbcdeeadacbbcbdcbcbdacdcebbbabdeaeebcadbeddecdabeaabddedacbbdceccacdeccbaebdecbaaaebdadebdbdeadbbdccdceecedeeaddadabcaccacbeaccbabaeaabadedbeaddbadbcecbdabcebbdbbeeadeaadcdebcdaacbbcccacaaceceaeebcaeeeecdaedeeddbedbbddcbebdbcdeedabbeedbdababdccdeceeebdbaabacccdbbadeeaddabbedaadecbeaeaaceebcbbcecaddaebabcbcbaaddeedacdabeacddacabdacbbedbcbbbddcddadabcecabaaddaaacaeeddeaaaeebacbedeaadebbbaceacdebaeacccdbdcbbbeeebaeccaedbdcdbcedadcabeddbdacddddeecaedcadaedcdbddbbacaedeededaccccceceeaaadcebbcabdbeebaddecbaadecacbeccaeecaddceeeddedcdecebebdeccababdbadbbacdddabdbdecdaccddbcabeeedbcecbeaeccaabedbdbdedbbbcdccaaeebbeeedaadadbeacbccececbaeceaecacababdeaabcaddeacccaddcccdbabdccebdeabcbadcddeeeeadddcabadeaebcdebeccadaeebdcdeceddaadedbdbbbabeaeaebceabdcdabdaeebeabbaeabdedceadbcadbdeaaadceaeacbeeceabacadabeeadedaeaecdabdaebaecbadaedccecdabaeaeedabeacddbbaeeadcbaeaeeeececcaccebeeccddedbaaedeeacbcacaccaebebecdbccbeebadbbbabecaceddeadecedebcdcceeaaebdebeecedabcecbebdebbecdbedbbeccadaddcabedadcabdeabcccaaacebbbeaeaabbecbacbdeaceeedbdcebaebbbebbeaaacbadecdbdaecbccbaaebbbddddccabbadcceeeecaccebbcceccaaadecdeaceabbcbbeaeedbdcdcaebeaaeedeeaebaeadaaacbeabcceccbdbaabebbeceaeaddbbbbababeadaabbbdcabbeeaaaccebddeaaebebcdbaddedbceabcdbbeeeeeececcbaddadcbccbcbceceecbbecbaaeeaaedbbdccbacabdeaceedadcdbdddbdcceceaecbbaceeccebdbbecdbadcbadeeeeacadeadcaecaacbbedbccbbdcdecddaabbbcbacecbbabedaccbddcbdcccaaaedabaebbbcadcebbbebbddbbbbacdbaacdcaaecaebbbdcebeebcacdbddeacedcccecbbadbcbcbbbdccebbddbebcbadedabdbcaedaebecdccddbcccaaeeacbbabceadeaeeccccceacebceedcedbcccaaaaeeaadaacaeabcedadbcbeaaecbccccbeacebbacaaacdddaaecdedbdceedabadebcbbeeebceadacdacaccecbaccedccdaacbeceacecaeeedceebbdeaebaaadadebabddadccecbdedccbdcdcebdebeadbdddcdbddddbbbdbbddabaddceabcddacacbaacecaababbeccbcdaebaabeabdabdaabdeeaabbdeececcdbbccebcadbaeabbcaabcaaeccdbbbeedeadabcbaecdabecadbdabdabcaddeebabdadbcbddeaecdbccdcbbcadaedbbcecadeccececeeecdaadaacbeeebaaedcedbdabeeadabbdabaedbbccdceeeacaaadecddebbbdeadebcaaeeeebebaddcaccbcabbcdccedddeddbdddedeedbbcdbaaebbccdadeaacdeaaccbabcbebeeaaeddeaddbcaebdbcaecbdaceeabeddbbdcdccabeddcdbaccceebdadaacedeaadebceadaceedacacebaccaecabbcccdbcbacaecaedacebcdbabadbbdebcaeeadbbdecdaeeccdddedcaeeecbbcdcdceeddbebdaebecbaebcabdaeedebcdbcdcbecdbeadadbebebebbdddaebcbcbeadeedeaeeedcdddadbeabecaaddcddaeecbcbeecaadaebcedbacedaaddcaeaeaabceadcabbddcbddbceeecebbdbeeeebdcaaaecaebbceaeeedccdaadbdccbdaebcbabbdaacadebbddebcbcbdeedceedaeadbbbdbccddeaebedbbddaeeacdaeccbcbbdddedcecabbbeedddedbdddbbabbebddbbdbeaedebdabdbedbedabbacbbdbbcbbaababbbdabebbadbbcdedaceecbdaebaecbadaacebacbbacabacedcadcaaddeccdedeaeadbdabbbcbeaacaacaeebecdbbadccecbaaabadbbeedbaeeecdaecbdaadcddddcbeccaeccedebcccbaaaaccdebceedbeedadcbcddcebecacdcbadcbeaadeadaaedbcceceecbeaabbadcbbecdbcecddeeecccddcbbeedaaedabeadabaeeeabaecaedcbbeeddaedbcceeacabdaabdabddbcaeddadbebacdddddcbdddedbedbacbedccddabedaadddadebccecbdaaeaceebbedeadaacbdccaadbdeaeedbdcacaeedabaabbaacbdeedbdabbcbdaeadccbcbadaeaeaeddeedbbdccaadacceddddddeebcbebececceaaebedcdebddbadecdcabaaddbeadcbbcadaaabdeacaecdcbeeaedeaaaedeebddedbbceecabbbbacccccaababebddebbcbedbbbdbeededcbcbcbcabdcebddddadcecabebbcaedeedbbeeacdedaaeaccbbeddaadaeaebbcdddbaeabeedaeaabacacbedecdccddeccdeedccbbadbdbbdbabadacecdcdccdbbbdeeaabdcdedeabbcdcbcadcedcdebbaecabcbbbcceeecebbdbeaabdecabeecbebdacbacaaabeedebabbaeebbdbdeecbcdccbbceecceacdbcebaccbaedabdcdcacabebcbddaabdeeaadbcebadbacccceaaeeaeaaddeeccdcdacceaaeeabacdbaababedaadedeadeaaedddadceceadcabdadaccacccedbdcccadbdbcdbbaeabddecdadeaedebbeabcbedbcdcacadcbccebeadacdbdecacaaaacedbaacbbbbcbaccbbcccaabedccccbadeaacaeacdbcaddeddbedeedddcddeaadeabedcccaaededebeebbbabecdeaeccecceadadbeadbdbbdcebdddcdcbcbadbeaadcabdabbaedbcabbedabebcaaddeeadeceeabaecadaebbceaacbbabbaddceaedccebedbaeabdebadbdeadbdbeabdddacddaeedcdcbaddaeadabdabbbbaebbdcbcddcedebbeebdcbdbbdadbbceddbbdbbdbbeceacaabdeddaedbbeaabeecbecedbaeceacbbbdedcbaeeabdbebdedcbebeaeadcacccdcddecabdeebeddcebdcbaabadbcdbcdbedcaddccbacbddcceeaceeddbccbadbebbcebbeceebaacadeeddcbeedbddacdbdccdcdebbacdccbbcacacddbdaeeeeadcaacaabecceadccadaddcaaadccbcacdddcedcbceccbaeaacdcbeabcaacaecaabcbbaddaadcbbbcebcebcbbbcedbbeaeaceeacedcabbeecebaecdaebadbebcaabceddadeccaeaeccddcebcbccdedadadaedaeceedabcaadcaaddeebeedebdebabdecabddcdbcaededcabaadcbdcdbdabdeecbdbaacebabdbeaacdcbaaeabccbecdcdecacbabceabcbeebadacebcbbacaccecbbdcaecbdebecdbdeceadedebebccdadcecadcbbacaedcdeeeeedccbadcebddbadecbebeabbeadaeddddcabadcbcdddccecbbbaeadbecbdaebdaecbedbcaebaeaaebdacacaaacdeabcbcdaabbdddceebecadbcedeaceaccceecabbdbaeeabadbbeaacecdbbcdddbecbdcecccecabbebcdddbcaebddebdedebdcabdbcbaccbdaabdeaeebbddbccddbdddecbebecdbaeabbeeeebcecaebaaaeddddabdedacdaeaeaddcbbdbcaeeebddcacbadcebbecddbeacabdabededecdabcacadceadcdaacaedcbedcdbdaacbeddcedbebadbaaecebbbdadbcededeabdeeeecedeecdbcebdaececbdbdbdebebdccaadaaebbceeeaadcbecdaaecaacdcdebadeceacebddaeaabdcdeabeadcadccdcdbbaedbaaceeeeccaaaebceaabbbbeadddeebabbcbdbcbaecdddeebcbaccdcbaeeebeeecbbbbbacdbbdceaabdcbcedbcbaabdccbedcedebadaadbbcebbddcaaeaeddebbdeecbeabdbecacbdaecbdaeaaabeacdacabccbedcbdbeccdbcbcdaceeebbaeacbbabbddedeceaaedaccdbdcbbacbeeececbbbaaaedaccbcabeccbeabbcdccdedadeebdddccdaeedbbdebedbedaeeeeacdbccbbaaecacedbcbccebdeacdabbcacbceccadecdbcdbbdbacacbdeccdeecadcdaaaecbabdcbcdcaedeedddebeeccccaeccddacdbeeeabddabdadddaedbdcbebebbeedcecbaaddcbbcdacaabdaeeebcddccebccddedcecebbdceebeaabcbcaebecacbcadbdbbabebcadcedbaddbdebcbdcccddabdbedaaaeeecedebceeaadcbabddcaabadcedccedaddaaceabdddeedcbceacdccaeebadeadabaebeedaabdbaacdeaaaeedcaaaeedbeccdbccdbacbabdddcbabdcaacddaadaaacdddceececededcbddebcdbdbbdeebabccbaadddceddcbeedadcbabddeadcdaabeedabbdbdbbcbdabcdaaaeeaccdeebebdbacdcadabbdacdeddeabaebbbdaeeeeccaeddaceadeddaceddabcceaedbebcababddaceddbbecbdecaebaaaaeecbadbdbdddaedeadeabaaecccdbbbacceebdeeababceeaeaeddcebeaeeabbceaebbbaeeccadbebababeaaecdaeeecbdadaaeddadedabcddbebdaaaadeedcdcebdadbbaadaeebbbbacadeacaecadadbbbedacaebdcdbbbaeecbacdcaeaedadccceadebdcbbbbdaccaaeeadadeeedbededceadcecaeaedabbbbeddcdcaeadaddbacacbeddbacddbcccebcecbdebccabbbeebebdceaadecedeaedcbaadaedcaedeaeaedbddaeadaaecebdcaaaeeecbbcdcaeddcccababcdddbabcaeeedeccccaaabaedbbdebcbabcdacbabbdeeceeaccdedaccccedeccbaeaccccebecaabaeeddedbdacaaebdaebbeccebccdbebcbcadddbaddaedeecdededcdabccaadbaddacbbdcbaedaccbddbcabdbbdddbacaaabbdaacabaedbaacdadeadcdebceccebcabbadaeabccabedabbecbdcddacdbdbebdceaccedcabbeabecbdcedebccdbbcdedeaceeecabbccaddcccaeedacdeaadeebadeebcbbececbeddddbbcababdbecadbeadedbdeecdecdeaecdacaacdabbdaabaadeaccdddbecbadcabebbceabeebbaeecaaaddbabaacbdeadbdaddeececdbeacabbaaaecdcceaacdbedaacbaabaacdaecabdaecadaeeabcbaadbadbdacaebedceececcbecacceebdeecebbbaeabcccadcdcccaebbaddabaaadbdcbddacadeedbeeeebbccbbbeaeecdbaabecdcbcbcdbacaabbdecbbacbebaaadabdedceaaecceecebbdebeedbdebdeacbecdddbcebddbecaeccabababebdacaabeacaaaeededcadbdcccdcdeeadedadadcdaeedcdaacbdeaeecadddbeeddabebdaecebbecacecedadccbcbbeaaebdbededbcdabbddeeaebeaddcddaabdeeaebdeeacacdacbcaaacbbebbcdbecbbadaaeababebeaacbdedceedcaceeddbbeecaddecdbbbaeabdbdaaaccedacbeeeeceaabcaedbadcbcbdaecdcbebbabecacbdadcaccaddcaacdbcddddeeeacdadbcacbaedbcaecebbdabcacbaaddedaecbcdeeadaedbcadcbdeaeadaaaddecccdbbbebcecebdadedbccbeecdcbaebbeddadacbdbcecebbcdbddbdcedbaebcceecdcdecbdbdcedeebbeacbcaabebccdbebcddaecaaeceecacabdddedaeaeadadadabecddcabedcbeacddddaacdcedbebeedccababaedcaaaecebbabebaddebedecbeddddedbedbbbebddbbecbdaebcaeeeedeeedadabeddcadaaddaecbaeeadcadcaacbabbdaeaaebdadeceacaedeeccaacecedacebbdbeecdadbdeeaecccdbeeedbbddeceddbaacbcedddcadedeceebaabeccaeabaebaebdbabcbbecedaaeddeeecccaebebbedcecaadaaadceaedeccbaaadcdaadcccccddadeadbeaeddecdccdbbccedddbadddaeeaddbbdebceeaaeeacdecadbbebaeecaadcbbbeaabbabaeacdbeadadeeeeeddadabcdddeecceebeeaaeedeabdeddcdcbacbdcdeceaeeabaceaeabaaebceacbcbcdeaccbdbbacadbcbddcbdcaebabbcdcdabeaaebdaecacadebebecbdaddceebabacecabebaeacddccbcaabadabbedcaacddcaaeddbadacddcbdebbcccaaaaaccbeeaeccbceecadaecebbbaabaedaddcaabaaecbccbdaaeeccbccedceabaecbacbdcdcacacdcdcbebccdcdbcabecebcabbacdeddbbceeddbcdaadacadecececbdeeacbdcbcbcaecacceddecdcebdcabddcbcaedddcdebddeecdabadbeceebbdbdbbacbeabbaabbabedebddbdaeaedbccdedebdbebebedeeadddbdedbdaccdbeddddeddccadeabbbeedebbcdeaceaabccecabecbcedeaedcdbdacaeeddaeebecaeeccaeeedebeccdddcddeedcebcaeaddeaecccbceeabdbabebaddababeadbabbbdbadbeddbaaededdadddddebcbbedadededebcddeccbcbdabcedaacbdeadccadcedebdeaabdaccaaeecdbbbcbaaeeddcedbdccaeacdaddaabbcbebcedeccbbbdbabaddadeeeecdedcddbaceacccddadecdbbbbcceabebdbeebdcbacbbedbabecaccadddbabebaededaceedbcccaaadcceaaabbbabccccdaadaaccdebdeacadaeabdccdbcddaebeaecddaecdbccaccbecadadbcddaabebeadebdeaaaceacaeeeceaccaebdadcdabaedaacddceedadeeececbaeaacebeecabcdaabcdaddeabcaabbccccdcddcdeccdbacbcdbebdddbbcbbbdbebadeceeeaecbdedcaeebaddecbeddbedbabaeaacbaaebdbdaacceaedacabccaeabaeececbdbaadbcddadbbadbebdecdebbeeecaadabecccbcadbaabccececdeccbcbbdddbecdaacaabebebaddabeccaaeeccdbdbaabbdaaaaeabecccaacddedecdbcdeeebbaccbeaaacbcbaabdabcedbcadeecddabcbeddecdeaaadcdbdceddbccabadcaecdecedabacabdcabdbeaacbceedddceddbaacacecdacbeaceeeedbdbecceccddcdedacbaeaaeaedbebceaeadebcabcecbebdabecabbcabdeceabbdeddbadbadcbaaecaaecacbbeddaeecadceacececcddbeaaecadaeedcebabbdbdcedebbedacbabceecdedbaabceedeeedcacaadaadecaebbcbcaecdecbcaeadbbbccbddeeecbdaacecebeaadedccccaddbeacbdeabccbabbdbbbadcaebaedaacaabcbcceebaacbabdccecebddeeacabbbdeacdbedbbaebdeadabebecbaececcceedaeabdbbccebebecaaeacedcdaecabedaaecdaccbadebdbeaebbbcdbdbcedadcbcabebddcbacecdacceabdceceeceeacdccbaddbcabbadbcabcdaeacbdbaeeedeeccdeecbcbbedbcbeedbcadbdaddcededbdbbaeacdebdbceebabcebcccadeccdeaceacdbcacaaebaaecebcbbadebeedcacdceaacdcbeebdeeabeeebedcebbdadedccebbbbdbbedbdbebbbdceedccceeeeebddabcceabaadeedcebbeeabaeabbacdddbeabbbbadbdccdaccdbdbdacbccdebdbaeacdeeeeebbbacdcdacbceddbcabdadbadedeaabbdcccacccaccacedaabcddccadceadabbecdaedcabeaaccaadebdaacebcebdacabbbcbbabcdddbbaacbdeeeaeccaaecabaaceddecbaabeddecbbecdaaebcbddbeadaabbbecbeceaeeccababcbccbeedeebeebbeccbdaeedccccacdcacebeaedcddaacbcddacdbebdeaabbccbcdbdbbcebddeebcdcabebbcbeabdbeddeeeecdddebcaddddcbcadebccaececcacddecceaededabdbbcdcbbeaeaccaadaabeaceedcdaabacceaccdabdccadadedbedebaabecdeeeedbccacdaecccadacccabecbcbccbaababaecddedcaecadacebebaeeaadbabbbebbedddeeacababcadeeacaacebadcceeacbceceeecbcedaaeacebbeecbdddbcecdedbaaddeebabeacdcdddabdcddecbcaecccacdaeeeeeaccdadaaddbdabdbdbbaddcaeeddaadaaeccbadedcadaacbabcceedaeadacecdbcadadedaadadbcebedaaacabaeaeacbccaacebabbaedbcdcdaddccaabbdebbecabaabbcadddbdaedbdbbbaaaeccacccdeebbbbedadcededacbccebbaceebcaccbaacdadcebdcdcddacadacedceabbcdcdbbdebeeadbdadeaecbdbadabaebdbbdecdecaeadeecbdeecbcdaddadedbeeaaaaeaecddccaaabaebdeadbbdddaddeaedbabaccbdeecccdbaaededcedaaaddebaadeaeeeaeaebeababdccadeabaecdcaadacecdeeeeaadcacbdaeabcdcbdaccaebdbccbacbcddceccecdeedbeddceedccddacbbadbcdbebcaacbcdeecebebcbaebabadcbbaecaeebddbabbabbcbbdabeebbaebbcbeacbceecdcdaaeccacdbbabaaceedeeacccedabacceeeaeebaddcecbbabcadbcdebbedeeeacddbeeeebdecbdbddddbeadbeabecbaeadbbdcdabdacddeababaeeccbcbdcdbbcdbddcecdbcdbcbcbeceadbdacbcdcdecbcaeedebacdedaedcdcaaeccbadabbbdabdadbcedcacdeababdadceebcdcaccdedcdaaccebdaaadeeecaddcaeecbdaeceaeebbaaacdaddaabeacaadbcdedcdeeadaabebeccdcddaeceacbbddbeabdbaaebbabaebedcaeadddddebdccaecebecaebeddcbceddebacedabebdcdecabdceaddabbeabaeaadcdbdbcbbeaebdcdedccbeadcbbaabbbaacaadceacdaeaeacececcdebdaccbeadceaecbddebabbeabebcacbabecdbaaaabdcbeeecdaeeebebcddaebbbddababcddebecadcbedbccdacabecccadebbeeaaabdedadebbdcaddaacacebbabeadaaebeaabbdedebaabedceeecedacdaebedddebbedbadaaceebcccceceeddddaaededdeaedbacaedbacdecdaeeddadbaddddcedebcbaabaabbbbebdedbddaeccadccebccabebdaebcdebadebeeccccacedcadacbbeeaeaccbdaeeebdacbecbddaaeceeadabdbabdaccaccababcbcabdaeecedcdeaeaaaeedbebbadecbaadbaababadebeacadbcdcdbecadbcbeabaadbeabbbbabdbcbecacccbbdbcdedaababeacdcecddedbaedbbbaebebdbcacabebaebbdcedabebdacdbaedaddccecceeeddebdccdabdaeddeaaddbdebbbbdebceacdbddbdcaabdbcadaddbaeabbccdeebacbabbdabadcadbcbadaeaedcebbaeedddadeccdeedbcacecabcbdcbdedaedaddaacabdcbadbacdcbbecabaaebdccadbaddadaebbbbeeaedaddaccaededdcbcbddbecadebeedcaeddcbbdcdddbdddaebacbcdcbbbacebceebabdcecdccdaaabcbebabbabeceaabebdedadabbcaedbceaebdebdaddbbaeadbccdaddebeebbacbeaddeeecaacbcdeecabaaebacbaebdbcbedaedaddcebeebabedeccabeaaccabedbbcabacacaaabedecceadddcbeccbdbadbbcbbbaadabaeccadedceeddeedcbadcaeeccadcaacbeedceadbadbbdcebddaaaebcedaaeabbebbedaddaccecdadccaedecbbcbdccddbdccdecadbdbedcbaeaeaeeecbeecbbddadedcbedcabbbebabecdbcaacebcdcaddbbcebdacbbdedccccbdeacbedeabcacdbeecaacedcbabecbebeeeaeaeddaebdbbdeeaecddeaccbebaddaccdecbbddbebeadceceedadebceedbcbaeedacdcecccacbcacebacdcddabbbaaaecedbdbccaeccadcbdbaedecebedaaecdbccecbcaededcaccabcaacdddbdeacdaceaebcdcaecdbdedacecaceadcbbaadebabdbbcdabccbecaaeeadbcaececbabccdacddecadacdecdeedcbbcacbceadabdebddbdcbacacbeacddcaecabbbabebddececcbeabeecbcbaccaeabdbbccbecccddbcaeadabdeaacaebbeadcdeeaddeaeecdcbeceecedbceccccaaebcbddbbddceddbdbcaacbcbeecdbeaabcdcbebbdbccbbdeebedacababaecabdccebadddebcbdcbaaeedeadbadccabbaadbdeeacceabcbbcaeeadadbbabbdcddceeabbddbdcbacebaeeccacdaedebcecbbccbbccadabecdbabacdbdeecdbeeedbeecaecaeacbacabadeccbedacddbbbbbeacddaeaaddaeccbadeedacdddbaaecdeccbcaeaedabebdebeaccbeedacebcbbdecbcaabcbcdbdbabdcccddecdbadaaddadecdbbbbbdcdeabdeceeeabcdaaebbbddaaddaaebcacecddddcdcebabeacacdaeecdaaaecddeddcdceabeaaeaabbdcbddcdedeecdeceecddadbccddbaecbcbebeeeeacaebceaacbaacbcbecdedccacaeedadbdacbdabecdebeeaacaaecdcaccaddcdcbbaabdcaebdadeebadddccebeaaeadbadcdebbdedeceeaaebbcbcbbecaddcbdadaaeeccddedbdedbecceaebdaabdaacabaacacbebeceedaccbaebcccbaeebeccaebcccbcebcbceeecbebcdcabadbaacaedacedceeaeaadbbeebbadbaddadcdbbaadbeaddacbedcdabcaeebbdaddceccceeabbbdeeddadebccebbabdebdcaddbebeecbbeebbacbccadebebceccaeecadeecedecddbddaacdbdededdaecaeebbaecbeadbcbdbbcabdddcdacaaeecedbacdaadabedeccdccdaadecaebbcdccabcddcbedeccceceaadccdaceaccadabeecedcbcbcbdbdceabdeeacddababccbabcdcbdcddcdadaeadecacaabeaaadccadceeabebbadbdcceccbebdeabecbeadbaaacebdccbcbadeeccedccaccebaceedadabeccebbecbbeaccddbccccbccdeccbdaecaaadcecacbebcabbdaccacbcbaebaedddbdcabbdadedacadeeddabebbaebcebacbebcceeaaeaedabcdcdebeebbaedbceddcdabaaecadaaddbccbdbcdaeabbebdeedeedbbdbcdebdaadaaebcabdcedcbbbebeadcadbbbbaaabaebcdeadceebebdbacaaaedbeccaaedbcecbdccccbeeedeedbdeadbcddcbbacadbaddeaeaccddccadcaccdacedcbbdccedabcceddbdaebaeecbacddebaaddaaebcadebaaeeceeadebbeaddbebeeabdddeaacdcccbbadcbbcabadecdddcadddcbcbceacacdcacbdeeddeadbaaaeabdcbdceccaeaaccededdebacbebcedadeccaacdbcaeceebccaccbccacabcabcedcacabcacccaedcacbdaedcdadeeedabdadbedbdddbaadebcebaebdbcbdcadecededbaabddacbecdecebcbceaadcdcbecceeacdcedbebebddceebeaacbbecbabaadbcabbddeabcababaccabadadbbeeaaedeaabedecbccddcbabacaadeabdbcbcedbeeacebbeaecdaeaddcdadedcbcaeeeebdacbacaebedaecaedccbabbedcdbecdceddbacaadadbaaebedeeeccaacbcebacbcaeabdebbebbcdbeeebdbabdaddcabebcdcbceaaecceedadabddcdbdebebeabebddcaabecadcbbcdbdcdecebcecccabbaeadbeeacdabbaabecbeccdecbdecbebadadbeacebcacdedccaecdaacbdccbcdedecebecdbcbbcabdadcbbccabccdaecedccbcbdcceececdcaedcacdcacdbebabdddeeccedaccbdbeadbdbbbdcecdbddbdedcbededaedcddbbaceaacebcababeeacebeadeecbebebaedcedbcaedebaeccbaaccceecdaadacaeeaacecadbbbbcaeeadccaeaceedbedabebabecbccabbbdcbeeaadddbbcaedcccdacdcceecbbcdedcbbaebaaaacadbbdeaccddbccecaccaaeeccebcdcdebbeadecdeceadeeccbdccadbccbdaedacebedaaeedceadcbceebebaeabdabddccabbeccdbbbcbdbdcbbecbbedbdcecdeccecebdececacbccbcbaabdaeeebddaedbaecddcddddbaccbcdecdedcebdeadabacaeeaecaabbdeebcbbeaebeedbbabecdbcdcabebbadebaaaedbaaeeadeacdbaddaeddacaacdaaabedcedddbcbbbedbdaabbdedbbedacadebabeaaedecbeadebaeadbcedaedbadcecdbadadbbccbeacacceecdabdbdccbadaadcaabedaecdaaceceaddcdcccbbeeecbeddabcdbadebceecceaaaaaedbbedceabdccaaeeccdceacbcbccededcbdbabaeaebbdcaaebacadcdcaacdbccaabbabaecbaeebeeacdecbdbcabceecbbcddbaabdeabcadadcbcdabadaadaddcbbccceccccdddeaeadbeecadbeabebcaceecabdebadcdcacebbabbbdbaabbeaceadcdecaebeeccbceeeabbbabecceacdddeceadbdeaaebdbeddeccbaabadebaadbcebbcaadacbcddececcbeacecdbedbeaadbebabdddecbcbeacacdebbcbcbbbababaabbecebcbbdacceddcdeacbeebddcacbcceaeacaccebacdeddbbaeaadeeeaadceacdbbcbccbbbccdcaabaebcdccaccbeeedeacbedebabaddcebacadeadaeaaeabbbadcbbcedabbeaeeacbaacaccadbedebbadaddaaededaaedcbadceeceacadabbcdabbdcebcacbbbacebcebacaebacddbcbdbcabcaadedbdcebadbcabeadebcecaccaeeeedbedbdceeeeaaaddeddacdebaeebccaddbcbaecccecccbdabbddbcabbeccdceddcaacacceeacecdbbedbdedadabeeadeaccbbeeecdcecccceeedaaaeaccddecccccccbcaaedcccdbbaacdddbdecdeeecebcaccaccbacaabacddbecceedacdabbaccdcacebbadcccabbbeeacdebeaecbcbaaddeebebcebebbaaecbbcaacccadcacecdcbcbedeeccededbadcbeacabeecaddaebbaeabadceeddcbbaeaaabadaacaaeabcbababdbedcbbeceedadbaacdbbbaaebdbbbeeaadacaeaadeadecbdcaacbbecebdceddebabcaabbeecaeaeaceabaecedaeedbccdccdcaebaedebaedaeabebeebbeaadcceaeaabcddcdcccddbdaabeeccdebeccbabbcbadeaecdbabebecebeebeeaebaaeecccaceebabacaeadcbcbbaeadbceebbdbccedcacbdceecbdcdadcbadcdedbcbacaeababdbeadeccceddedbadeeddbeebcaeabeeeacaedbecdacacaaaaeeddbcabedcedcadbdaebeeceddbaeebaadcbaaadeccddeaabbacbdabdcadcadeedbaaacecaacdaaadebcdeedcadbedccedbbcebaeecebddedbcacddcaecaebbedadabddeeecadecbddbcbdaadbdbacceaaeeadbcdcaeeddaadbdbadcbaaaddbaadccceeeacccaebddeacbcaaeebacaecaebcbbbceaebcabaaebcceeeabaccabcccaebabdbdddabaebcbaddeedeaabacbedcacaaedddeaadbeadeaadccebacceaabbccdbeaeccddedabdcbdedbaadcbddacadeeacedceabbdbaceaebdeaeaeedbdaadcdabcbdeaedeaddebadbbbedebacbbeeeeecdcadedcabdcbaeacddacaadaddabaececadbacecebcbbdeaddecddbddcbdbddddaaddedbadadccceccecebacdbccccbebaccdaaecdededddebeaebcbbecddebccdebccddedeaedaaaacebebedcdeceeeabeeebebdbebdbeccecebcbbebccbdaceaabebcddeedcbdeebcabcdeabbaeaaecadbacdecbcaeaecbeaecbcbadeaabddbcdadeeadddebcbebdabecbacedadeaaabacdedaabeeedbdcaaecbbadabacdcbdddcbecedebaecabcdedcecaccaebceddeccaedacbbdddcecbeabaccacacececedaccebbceadddecbcacebeedbcaaeeedbbebcbaccaaaddcbcbaaccbcecaceecbccaccdccadeadceecbebbbadeddecbbcbeadccecaeeeaeeebaebebebdcddbbaeacadeedcbddebdcebcdcddbaedeeaddcbbbeacbddeacbbdabadbedcbedbebaaccbaddccaabeddacbabcccbcdacadccecceddcbecccbaceeeeceedcdaaedaccadcdcabadcdedbddcaeeceaadedeaddebaeebdbdbaaadadadadadadcdecdadbebbcebeeaeababbbeddedcedbdacecacbbcdbbacaabeeadeabcaaaaaaaedcbcbbacabaceabeecbacbdabaddeababeaedcadbbababebbedcaabecbacdcbaaacdeabdaecdecdeebbbedddaeaabcbbecdabddbbbbdaadebdeecdbcaddacabaabbeeaccdccaacbeceaaaeaaddbadacadaeadccbeabaaedddeecbdecbeeceeebeceeeceadddeaabedadebdaeebcbadbcadddabcbceceebeeddeccebccaebcacaaeedaaaccbeeadebaeeaaecbecaeccceacceaeabcadcababeceeeedbaeebbbdbecdbdebdcadcdcbdbedaadebadaeebebaaccbaecccdcecdbaedacbcdbbeedadbbebcaaacbebdaaabbdbecbedebbbcabbcecdcddaddadddecaeaacdcabeaeebaabaebcedabccbddaecaceebdaaadaeaeddadbacdbeecdebddbcbabbadccddacaddeededcbdccecaabddddbdedaeebeeccbbdbbcedcddeeebbcdddcdadcbecccbaeebcdcbceeaeaaeaacdeeedeabebbebccacdddddbceacbdbacaebcdedaabcedbadadbdccebcaaecdcadeccadaabaacbbcddcdaabbacaabbbebacecbddaadebceaabebaeeedbdebbcebcddaaaeddbcdeeaddceebbdddedaeddbbebdaceacbacccbbcadcdacdcbeaccaecadbabeeeadddcbabadddceaabbddeeceeecccdabcecacdbbebebaacabacbabcbcbbbdbeabacacacadbdeddaeeacbdaaabedbcacabccdbceccdcbdcacdddbcacbebbdabdbcbdecdcbeaacbcadeebddaebbcaeacdccdcdcadecabcaaebedbadbcbeaaaeaeebceeacddccdbcdaeaadbecabbcdecbdcceebcbaecaaabdcbbacdebdacceadbdcadabcdceccadacdeeeeaecadaadcecedabadeccbbdbeaaaeebaabeadecbbbbaedabbaceabbbcbbdadeccdbdabebecbebaacedbecbababadcbaddcabcaeadbebeebedcbddeaedbadaebbababdbdcabbdaeeddecedcbabcaacbccdacbcbeadcbacdaebddbdcabbebcddccdcebeeebdbdcdeeeebdcdecdedadccbcdbaeebabaacaceeabbcbcbabeacdbdaecbabcbaedbbcbdbaeaeedbbcedbbabacdbcebebadbababdeaeeaadcedbbdcbceeecadaedbaadbebeaebebaccdcebebeceebdaaaeeaedadbddeadebdebacddbabbaeedebebeabdcdaeaccdbbdeeeaeebadadcbceeedbccddcdbcedeaceccedbcadacecdadeaadbbccedacbeeeeddeadabebadeebabeabadaaacbeebdcaadaaaebbaaeccebeaceaebbdeabbdedbcadcaeeebeccdacbeedcbeacacbcdcaceaadadbdbaccacdbbaecbdaabecbdebbcaecabcccdbcebdeedcdbddbaebbeccaaddbbedcabdabeaacbbcacadbbebcdcabeaacaadaeacccaaeeececabbbeadabacabbebcedddecacabcbceedcbbbdabababddcbcddeacdcbdcabeeeaedceceacbebbdacebaeaaceebceabdcaceebabadabacceacdcaaaeebeeabbdededccaccdaceabcdbaadbbecedecdbaaaccbdeebecbdaaebdbccbddacdbabbaeaaabdaeeddaedbbaddecddbbbdebdedebbdacaaeeecbbcbacedceadacaddeeeabbecadeeebbabebebbededecbbdeaadcecbebddbddecebccabacaedbccdbdeeeaddacddcbccdceabaaaedaeadcabebecacebecedaaeabaaaddeceaaebcbadecccdcaaaebeaccddaeaaaddcbbbcdcaeeecdaeecbbbbedeebbeeeeecbbdceadacaabdaaedaadbbdbdcdeeeecdbebdaeceedbdecabdaccacaceecbcdbadaededbacdadcedbdacebebabecadcdbceeeeecbdecabdaaabbcbbeecadaeddbeaeecdababbcaadacadddbcadbadcabbbbabddbcacdceebbdbbaaccaccebccdecaedcceebabaddccdddecbbcdbdbddebabddacbeaaeabcacdbbabdaceeaceeeeeacdbbebacdbedbacabedebacaeeeccebeedbbdbbdddbcbbaccaaeaeecedddbeabaaaceececbcdccbcabddaebccbdceebeabcedcaabdabaeddbaedebdaecaaeabaacabdbcbdeaabeeeddabdaedacbeaacecbbaeedbabcbaceaedcacecedccbdabedcdaeaaeedbaddeeabbaeacdcaedebbcbadcaaecabeccaecabcabdceddeaeeaddebbeabadeedababcedeeababaddeebddeceabccacaabaacaecdcbbbabebeaeebadedbddeddbbabdaeaaabeabdceabdddbcbdaebdcdacadedceddbbdbbddaaeaebbebddceeacabcedcbdcdcbecccacecbccccdddeeebabddcbdbdddbadbeaecbceeebbacdedabbbedadeacdbedeeedebdabbeaedbbebbbcebaadebeabdbedbdececabeddbabecdbcbcbddbdeebdbdcbbeeeccbebcceccccdbeabdacabdbddadaccedeeedacebdcbedbcbeddadadcddcabdadcbcdceeabcadeeeebcaabcaccaeebebdcebaeebccbeccddcddbbeebacebdaededdbaeeeecedbacbadbbcbadadcbcbdcdbecaebcebecaecbcdabcbccddedabbcceddeeacceeeabdbbddccbcdaabdaacdcbecbdecebdbdbdebdcbbecebebbcacddebadebbceeecdbcababebbbdbcbdebbddcaeaddeeedaeccecbccdccebbaebdaeebebaacddebdbcdadaebdacccadaccbdacaaeedbdbacadddbaabbaebcbecabdddddbabeeddacabcbceaceccdedadabeeaeedaccacacaacecabbacbcebbbdaeebedddacedeaccbebbbaadbbccebdcdcdaddbcabbcaacddbacaadeccccdcebbdccbccadcecacebbabbaaeaacdaaedcbcbebacbeaaabaceaecbbdbbddebccebdaacbbaecbaabdbcdbebdaaaeaabaadddccbcbdabddbcacbabadcbaccaddbeaabdcacabccebcaadbbbaddbcdedabcbcccbdebdbeecddbdeadcaeadcadccedeacdecdebeebedaacacbabdeeeececbaaedeabbbaedddbddcedcaebaccdebeddebbedccabccebeebcbebcdedecddcdaecccbaebedaeaeadaeacbdbedccdcebedbeeaecbddecdedadbbadadaeaebabeedbababedabdcbadeeeabcebdaceaceabbbdeeacaaaccadcbbdeebdeeedadbebdabbcdacbaadaedbebbcdcbabeecdaeddbcbecebbecceceeccabbadeebecedebbdebabbbdadaecaacbbaaeedabbcecbdcddcaeadadabeddddacbdcedbacddcbaedbabdaabbbeebeaddbceddcadceeebaecbebaadeeeacaddbcdcaacacedbdaeebcddebeeeecadaabebacbcedbadcaddabceeaeddbbccececbeebbeabddebbaceeccebdccdcbaacdaadbcccaebdabaebccadebbadceaeebeeabbabbabaabbbaddaddbabdbdbdebbedabaeabecbbccbebcbeccdcbaaedcceecadaabedbbbeeddacecbdbbcccbcacacccddddbeadedaccddecebceddddddbbabcdababaeedbaaecceaecceddbcccddaeccdabdecaeccecebbdddbdacdbbccdacacbdabcbcaeadcaaecddebacbaacaeaadebbdeddddacadeceeebababddbccccbadabaceeeddbadecabadebaccbedcddeaabbbdcaacddadbceeceaccadbababaadeecadcdbcbceecbcbcdcabdbbdecbcdcdebededaadbdcbcecebabeacbaaecabecabdecceccaacbcadcecbbabbaadeecbbceebdeacebcdddaacedadddaacabdbebeeaabcddcdeaadeaeebcccadedbabbaddeecacbccbdccaeedabcbdabebecedacdededcbdadebbecaccadedbaceaadcedbabcaecdebaaaaabaceecbabcbcbdcccebabbbebaeacdbdcbddbcdbdabecceedbcacaaacccebebcadedbdddbcabbcbaadbbeaebcbdabadddebbbadadadddaccbaaaeecaceebacbbbebaedacedbddddcbacdecacecebcebeadcabccbabbbebdbbebeaacaccebcadaecabaddcaacaaabeaebecbecebbecdcaddceeaccdaebcceedcebdbddebcdceaaeeaebccdcbbaccdaebaaabbdebdeceeadbaeaaaaceeaaabcaddbcbbedebdcabcdcadebceaeeceaabacdbaecbbdaadadebbdbcceddaaadaedaeeebebcddabbdedbcceaebcaaaacbbabedacdeceeaddedcdbdbabaabdadaeaeeabdaebdddcabaadaecbacccbacbbeacadaceecdcdbacdeabaceecebbebeebdbacabbeddeeeabbdedaceceeabbacbedabbedeccdbecedbadabcaababcabdbbbceaaaabcacadbdaaabaaaeaaadebcaddbeadeccabdbeeedecdcbbeadcedbbacdabcdaadcaceeddddbcbdacaddbcaacbabddbedddbebbdddbdacbdceabbcceadacbccccaeceecaddeaccccdecdccceeabaabacecbaccadcadeacecedacaabbceeaebeeeebcecccbaedaeaebeaacdbaddeecbabacedcabbddcebdbaaedcbddebbacadaebdedaccceaedccbbeedcbbedbdaaaacbecaabdbdddadcbabbdcacbeccecccdadddebdccedecddecbdcbbbecadbddaadceaceaeabeebbebedbcceabdcedeaeabaedadeadbbcedebceddcabbceddbcbeaacdaccbecdbbdddcccceecbaaebceaedebadcbdaddacdeacabcaeeaeaccaceaaeaaaaebcbdabbcddaeabaaddbbbdbadececbebecddeeeaabecbbedecedaecbdabedacddeaceccdecbaeeceaddcbcdcccaaadeeeebaccdacadedbdaeaeacecbbcdebedeeddeaaebcaaebdecdcececdcccccddbeabbcbeebbaabdaacdbcbadbaceaeabbadcabaabceeceedbebdddbbbebbddabcaddcdddbadbadadcbebeccedbddacaccddaeecdddddbbedeebbdeeaabababddabcaddcdaaebbadcaddaeabbaedbdccbcddedbdaaabecddaabcbaeecccdacddedccdaebbaceeddcaccddabaddeddaddaeacabdbaeeceeabdabaadedadddccacaebbedbeccedabebaeaeadbbdedbecacdbeadeacaecdccbecdbbebcaedecedeaeabddebbdbccebbaedbeacbceebcddddbbbebceddeeeecebcacbcccaeeaaecdaddbaeeaebbdbbaecacbcccadaebcbabaeeccdcbbeccdcdecdcddbcbbeabceccbaebabadaccdddcacdbbdaebebdbbddcdaddabdebbabbbdedbedabceabbbeabaeddcdebeaecdaacdbcbbbbdececcabbbdeedeedceacabcbebeebceddbaaacabaeecbbaddcababbadebabbcaeecccaedddeebdedbcebabccbabadabebaeacbbeabbbcbbccbcbeebebbeaaadebabadbcbeebbbcaecaeaebaaeaceadedecbbeecdecdedaaccadbacbcdacecdabdbdbedebcccecbbcdabdcdddaabeccaacccbadcecdcebebcbccadaeeecbabceaeaccdceccacddcebeadbdacebdaaeeacbcedebdbdebbcadadbaddceceeddeeeccdaeacccaeeadeadbacccddadeabdbaaacdcbacdeeedbccecbcbdecccccaadeacddcbdcedeaddceeedacedbcaeeeeceeedcdeaaccbcbedcaaaaeacddaacaaedecacaacbbbacbbcaebbbeddcaacbbeebddadbcceadbdcaeadbdbbedbaeadcbdaaccedabebbebcadcaaabccbaccacedbbcbadadddcaebcecdcdcacdddcecacceeebdaaaddbecbbcbbdeeaacaaaebabdaeddebdbedababaeeaaaadeabbaaddeaebebacbaedbadcebdaaebccedddcadcdbaeedaeeddbbeeccebeccbebceabeceaeabecebdecbbbebecbdeecaebbebaacdcdbeaaeabebadcdbbecaccdbacabaceeaccbdcebdecabdddebdbabcdebbbedddabdbeeabcaabaedcbaabebaccaabaeadddedcaacdedbbccaeaacadcbcbbdeaebbdbbbbeceaaddedddacedeaaedaecdeaaaaeaabcaabbbcbcceeeacaeebaeabdbdbbdcbdabadebcceeccebaabcecebbcdeedccbcabeedadeddaaececcdabacdededcdbcbddcecbaabaecddededdedcdeeabeecccedddadbaccadaeeabbacaddadddecaaeccdecccbdeaceeebababdeacecedaccdaedcedeedaaebeacdecabbeadbbdccaaccccbadcbeacaabbbeeeeeeeecbcbabcdbbcadeebadadbacbaceadebedcaeacccbcbacdbaabcbabdecbcebdbbdecbbcaebbeabcbbdcdebbcdbbccceeebabbbcbccdccadcceddcaebdadcababdabaeddbeebccabcdadbbebacbcebaaccddabcbdaeccbbceeacbdaddbaeecebedbeadadebcceaaeddabbacbaceebebebcbdbdecacdabcabcdeecbaaabeecedabbdebdacebbaebbedbdecdaaeaaaacecbbacebeecccbebdacdebddaceaeccbeddbdddbdbbeddbdbccbceaebeacabecededbcccbeddbedecbcbebdbbaebdebcbceacbdeaeabdcadaadcaecdbedeaddaacacdcadbdadebadbccbdcddcbcabcdceedcddacbdabaccaedabccdaceadbdbeedabadceacdbaeaacadcdcadbedbbccbbedcccacedebbcbbcabcebedaaadddeddaeeaeeabaebbeeacbcbcabbacacaedddbeabadcadceeaecdceeacdbdbbcddaeddddbabdacaabeadbcdecbbdcdbdbbbdbabbbdcecdcdbaebcdadacbacaecdbccbeecadababccbeedcdbdaededaabbcdeadcacbeaabccadbccbedbddacacaceabddccddecdacccadaeaccbbbabcacbccaedbaaababaeecaccaddecebdaebcbbbecadeacadccdeccadbebcccbccedeadaacdeaadeaadbceceabdbcedebadaeeebabacbdbdebbddbceebbbbcaccebbcbceedccadceebcbcdadaaccadaddccacabedacbabeddceeaeaecdabeecccdccbeacecbcebccbcacceceadecbbacbceaedeedcebcdebaebbdbabbaceddcdebadeacdeaaedaadeccddcaacccbcbeebdbdcccabbcbacdbdcabcbaaeaacdbcdcbcbbdddaeccbabbdedbdcbbbecceaeeaacbcababdddedeacedeebbecaebddcaadccebdbceabccdeebbeabcacdbdcbebebacedceaccabccebbceaabdacdabacccdaddbdbaeababeddbbcccecccedeecbdabeaddbddbaadeceabaeebceaeedbdbdacdecdcaddeadeaceeeaeebecccccceeadaabbdaaeadcebcdcabcbecbcacbadbedaaadadbebeebddbbbbaceddeddebaecaccbaaeeceeebeabeecbbbdbbccccaccedddbaeadbdbcdaeaabaaabbeccaaaacebeccebbebbbecbaeaceedaedbddeadbddabcedbacebeeacacabddcaadbbabeaccabecaacccceedcaddadaeaaecdecedaddbbbadebacabbbeaeebddcbccaaceeeaeacaaeaaececcacaaceacbcccdbacbbbdadcbaacddbeacecdcdacdaabaabacededaabaaadacbaedaaaadbdcadaedecbdcbabeddccacbecaaacceadbadbcccdcecebadceeeaeaddacddcecebdaaecbaddcadeabaebdbabaaecadaacccddcbadecabdabbebbbdeaadbccdcbbadabcdacaeceeecbdccaacbcacbcebacdbbabdbdbaebcaacdbdddaadeddaacddaacecaaeecebedeeacdcaeaccbdcadbbcdeebcbbacbaccccacecaceebebdabbceabceababcaebeedabbcdadaddaaedebbddbdaceceabaedaecdabcddedecdbbcadeeabeaeaeddadabdaacecabcaddbbeddeeeceabdabebdbdcdcccadccacebabaabbacedeadeaddabedeacccabacacdbbddadceaaebddcdadbbbaedbebabaeedbdcccbbeceaddcadecbcbdbcdccccadbeccbdcbabbddbbdeadbceacbcdcacdbebddbaeaddcbabbccbecdebedbeabddddddaaccdaddbbedeaadbbeabcaebcbbcceabbcacbcaeacaccaddbccaeceaeaeaaaebddcbeceedcecacaedeaedccdccbeebaecaeaadeaeeddbbabadcabbeacaceeadbddeaaacecbebabaadaabcdabcabeebaecbaeccbebeeeddcdcabadbcddadbceececdbdedbdbdaeacebbcbeccddeaabeebecaeeccecdbcbecedbbeacdcaaecdcebbecaceaeebacecbddbcccbcaebcdcaabceabbbbeeedaeeeabebccddddeeeedabbaeadbceceecaabdcebadcedacecdaccbcdebededcdacedcbdceecebdccdacecddcbedbdabacccccaeaeecacdcbdbdebecedcdaeddaadbebabbcecebdeaabbacedeaabadaadcdbacceaadaebbaacaeacaddcdbeabdcacceacacacbecaabddbaebdccbdceceabaaddccbecedccebdceeeebcdcaebccdccaeaccecebbbccceecbebceebbdececebcdeebeacabeababaedaaccecaceacabaebcaacaceadeccebcaeeddeddbedeceaedaaaddcaaaabbeaecdaedaddcacaeeeeeacbedbecaeacacebceeeeecbaddeaedadeedeedebdbbeccddacbecdeedadeecaebbdaaaacddcadeadbaddcdaaeddaabbcbabddddcbbadeababcecbdaabbabbaadeddeebdaccdccbdedcabadecdaeccbaecddaaebaaebcedbdddcdbcbbadbdcedaadddacbcaeaececdbbbeeeaeececececaeabadcedebbbbddadeedaecdeacddaaeeeccddbbdcbaedecebeebdcdeaddeaaedcbaaedabecebccddcbbbddeeeadbcddbcdeeecaabeadddecebadbaabcdeecbbddcccbbacdbeebbbbeaeebbedadbcdeebbcacadcebcedabeacddcbecebcbbbaabebaaabeeaceaccaeacbeacebdeaadedabbedcaeececadccebcabbeacccadaeceadcedbcbabdcbcbdaecebebaedceaaddbedeaddebbaeeccabacbcbaacddcdddaeddcacbaacdeedbeeaaeaddacbadbdeaceeedaecbaeebbaadedcdacbbdebbbdecbeeeecaadaabeacbdcaaecebcbccadccbceaabceaddbabcebedcebadebddaddebedcdbccdbedcabacdabeddaebbebbdaebaddcadccddacabbbddcbbcadddecbcecbccdcdbadbbeeeaeaeeeedbbebccddccdebccededdadadcdceabebcceddbecebacaccbbaccddcdbaddeeaabebbceebbccabcbbaadadbdabacdebcdbaacdbeecbcaeabdcbbdabadddbceeaceeaebebcaaaddeadeeaeebddbdcbdebabeaeadddcbdcdcbebededaceabdeccebeaccdbeedadcadeabbcaaaecbdcccaeccebcacbbaabbdebeedcaecebeebadcdaddbcccaeabccddbaaaacdbddabbdaaededbccbeeaeaadecdbeadccddaceacadcebbccceaceeeccbeadadbdabaaaedcaeabecaddbccaadedebecdbccaddedbcecebacdaeebedabcbdacaccdadcaccceadeabbadacacccdcdeeaedcdddedcedecebeaedcdeebadbbececaccbabdbacccebcdaadbdceacdeabadbacaeacbaecbdcbaeddcadcbaaeebdabbaebdbdaebdbcccbaabaacdecabebceadcbcbebdecabbbcabaababceaeeeaeecdaeecbdbceccdeabbaabaaabbbdbbbbdcaaeadabdaebecceeeebecbdabebbbddaebcdebeabcbedcbaebbeeebebaaabebdddeccbacaccaacebebdeacbdaddabcdcbaeadceeceadeaaeedecdadceadcbadceeaeceaceeebcacedbecabebcebeaccdaddaddddbbaacbdaccbdbbacbbcccdebcebcedbbbbddbadbabebbebeaaccadaadbebbacceaadbddadebabcbceabcdbddccaababdacbbaadaaabdaedeeccdddceddabcbaaaabeecaacbecbcdcaaaacddcccbcccbbdeecaebbbabbecaaeabcccebacadbaeeabbbadeebacecdbccecebecbadadcedcdedecbeeeabebdeedabaeadedbeabbaaebcebadabcdedadcecddbbebadcabbbdbcaeeeebeadacbbdacceceedcbdaddcdddbecbcdaedaacdbebdecadecadbaeccaaabcdaeaaeaeaadcbbeddaecbcadebeacdaaeeeccbadbddaecedbacdddeebddaeecabcdecacbaeeebbacdecdddeeebdbaaabbcdedddcedcdeecddbbeecddaecaaebeaeacdeaeeddecbaadddaeacdcbabcadaeccceddbebacccebdbabebaedacaeacadcbadeeaadacdcdecdddbabcdacecebebeeadbceebacbebeeeacdebaabcddbebbeaadeaadacaebbeebecbebedddbeddeddcdaececbdecacddedeaeeabeecabbddacadcecbeaaeecbbebdeacbdbecdaddcdbdcbcaacbdaaddedcbbddcccaaeceadecbcaeadebdbeceaeceeddaecabebdaaceebdeacadcebdaedacbbbbbdbdcbdddbdbdcbedeadebdeadcedbbebaeeddcaddbcacaeccedebcbcaecbbbebcabdabcceccccdbeabccdcceebabdecdadbabccbedbecaabbcdbeedeececddaceecdbbbaddbcebbaacceccaecbcccbaabacbabaadaaeedbbbeadeecdbbedbecdbcbeabcbcbabedccebaceecebcadacacdbaedabcacebcecdbebaeabdcadaecabbcdbaaeacddaedeecadddeeddbbedecddbeaebeeddbeceecaabcbbadddebceacbdaddabdbbddbdebeddbbbdeddcdedeaecbcdcebcdbddeddcadceadcbcbcaccbabaacedcacaccacbcbdbccdebecabcbdbeadbedeceaaeadecbddbecbddaaaacbdceaadcacbbcdabcccccccdabcdcaceaceaeaaaddcbdcddddedadecccadbaeecbadcababdacbbabcdcddecdeddbcbdbadcccedebeebcbbbbbaababecdbdecdeddaabdbbdcaacbdadeeebadbdcaaceebcacbcddeebdeddaebeedcedbbebaebebabbbdddeacbacbbbdcbbcddbaeaabecdeebeaddbebacddaeebbedabeaedadcdaeaabceecdbeedaeccabeeebeeceecdebabbedbdabebeabbeeeebdebbdcaacbeedbeadbcdaabdebedadabaecebdbcbdcadadcddceadbdcaeacceacccebadcbebcedceedaeedbbcaadadbeceededabdcbbddaeeecacedaebecadaccebdbacdbbdadbcecaecbdbbdbedadeedeeecebadcdacaadcceddeeacbdabadbbbedebcbddadeebdaecbacbaeceabdeecededebddddcabeddacddbbcadbbaaeaebeeedaababdbdbebdaaeceaaabbdaddcbdbeeaeddaeaecacebcccbcbbdedccccbddcdccdbccdcabdcbceacbadecbdecdeccadceaeaeaeddcbeebeaceecaddadadacbdcecdebbcebabbdbdcebcbaaaabbdaabecbbebedadcebacaabeebcdeebceaaedbceadececbaedaccbcbeedebecbabdcaeedeabebbbcddacbadabbedddddbbbcacedecabecddcbabcdbceaaeeabbebbdedecbaeacdcbccecaabcdbedbeccebacaebbabedebdeadcbbbbbdcbbaaaacdceebacceeddeabbbadeaebcccebcbcdbbccebbaebacbeecebddcdbddaaccbdaebddcbbaebbdbedbccdcacadadbaebebebedddedaceddacdecdecbceaebedccebecdabaaacbdcacabbdaaddeddecbdbaabecdadcbdbbabbccadacdbeeedbcecedcbecdcebdcacaececdeaadaeedebccebabcbecbebddbdbeadcaaecaeaeecadeedcdeedceedecbedbdcaecbadbceedaacdbbceadbecbcedebdcbbaacecdacbaabcedeebdddbdaeeedbbbceeaeaaabcceddebbcdcceeabdbacadbccbebbcedaccebeeeceaeacaecbdeebceaeeacbaedaedddbebeadcaddaaaddbaaccdaeeeaeddedcaeddcbbeeceebeaebcaadbccebdaecbeeceacabdeeeddabbdededcacaeeaadbeeeacbedeadacdaadcaecdcddecaccbdecabeadaeccaecccbbbcbdadaacddbbcbabbabddaaaecbadacdbbbaaecabcdeebeaedebbeccbeaababebadabbbadeacecaeedebdabbabbceddecbddcceccecbaacccdbdabcbbbdceaadebecdacceebaadeddeeaaeacacdbcebbddbcbdaabedaaecbccdabccbbacecdcadadedceabbbcddcabebeaecabaecdeeabddaeeeebabcedcacadbecacbabeaecbededaaaebecbababcdaddadcdecdaecccccedaaddcdbeceadadabebaecbabbaebdebaabacbcaababeededbbebebceddbbdbcddeceaeacddeaadcccdeacbbacbeccbaecacdeecaccdbdbcaeececeaeeaecbbdddedcaebbbececbcbadbaabdeceebabebacacbbdbeccddcbceeadcaaaacadbacaeccddbeaddebbbbdeccceddebdaaaddcedbebcaaeedeeeddaebcbecbbbeeecbdcabebbbeacbeaabbbbdeeedbbebcaaececedeebbddbacbabdeacecdddadbebcececddbaeeeacbdeceeaacaadbbacbadebdbecdcaaaabbbaeaabccebacaccdedbaaecdbeedadeeaacedbcdcdcbabdadbdcaabacdacccbeeaeeaebaabbebcebcadebbcbeeadceceaeabcbbacbeaaecacaeadaeaddbbebcaebabebdceabcedccceeddecaaadddabbaeeaaedeedbacadaebcdbccceacedbbebbddededacbdaccaeabbdbbadbaceddaeebecadddbbadcbbecbdceedbbcebbceeaecddccaeeceeaccdabcabeeeedcabbbdacadacedbbbdeabbdddddaaceadcdbbbdceadedabbeabcdbdaccecedcccbcdbbcececceaeaeebbeecdeacddbbdbeccebeecbadcebaabaabeadeceebbeabeccbacadcaedceddecdedabebdbbbbecdeddacbddebaceddbeebdcbaaadaecaaaaaccccedcbacaeaeccedebecdcbcacbeebaebaedaebbcaaababcddabcceeacccdeceecbdbebccacdbcbbabddecebabbeddbeeacbbaebdbaaaebebdcecdbabccdecadbbcaacebedccaccdaaeedebcdbeddeadabdedcecacaaadbcaddaeeddbaadcddeedadbcbaaeabccbedcbaeababcecbaaedecedbccabdcaccdabcbcaedaeeadbcabbecaaaecaebdbbceeccecccdeadbeaabbeedeedceacdbaedbebecdeeeeebeeabbdbcaebeceedaabdaddadbceabbbadeecccdecbeaaeedacacaceceaeaeaaaadbcebbbccdacabadadcdadedaabbbdebaecccabececbdecdeadcdcdadceeaccbbcdaedeeacccabbccbabcbecebdbcedbbbcccaadebccbaadcbdaaebecbebbbebdebaecaedebebebeeebaacabebabadaeadececddcaccdbcaaecaddedbebdaeddcceadaebceabaabceabadbadeaebbeacdbdcdeddbddaabedacdadccaccaebbebcebcaccbccdaadcaedebceceaaacedccecccccbeddbdaacadebadbaebccdceecdabeccdecdbcddbcccddcbaecddeaecdebaebacbbeaebcdbbaacbadabebacdcadabdabddeacecacbebceecebbeeeaebeaababadabdcaadddebaacbebddedbeeeddeeadddeedeaaedddcabaecdeebaeaedbbeaaddaccecbbaeaaaabdedcaaaedebadbaeeccacecedbcebdaaedeebdcaddcbebcaacbacceeadcdeddacebdbcecbcbcdbababecaccdceccbebbcdcaeeaaededceacdceabddeddeaabcddaccbbedecabbebccdacaaeadeccdcedcdcdbaccbcadcdabebcaecceecccdadbdcdbcaeecaeeaeacbaeadbadbddcebcbbacecaddcaaaadaceebccabbdbcccbdeaadbaadbebdbdacdebadbebdabcaeeaaebbbccbeaaebdecebcacecbbcbccceeaacddbbacbdccaeaebeeecbdddcddebddeebebcadeabdabaaceebaecbaedabdbbbdaadacbdabbebceaedbbaeabcdedcbaacaebbeaddedcebdedcccabababdeecedaebddadaabedceaeeccdaaacdacdbddbecebeeacddcaeecbccbbaeabaebacddbcddeedbbddcaceddeebaaceecdaabcedeabddccdacecaccbaabdcbadaeecaecdaaadceaecbdebddececaaabadcedcaaacbaeccaaaeedcbabebcdcdabdcdddcadacbdcddceceebbabdceaeabaeaabaaceaaacbedbabbeabbedbbcbcbdacdcaabcccdcedbccbeecdddcaaaabeacbeedecceadadbceaabbabbacaeccbacacedeecbdcdeddabbbaecaeddaebebeaebaebdeabdabdaaecaceaeccbccecdbaeecbceaddabddcddabbaddcddabdaadbdacdbbdacddcdaebdeeccddaaaadbeabddcabbabbaedbddbcadccdabaabdcbcdaddeeaeecedadcebdedcacdbadeecbecaccadadbacebadebabeeeaeecbeaecaaacbdbccaeeededbadabaecbdbecddadeccaecaeabbeeacceeaecbeadaeeeacadaaeadeceedeecbbdabeceddeaaddecdcecabbeeadedcadbbecdcbbdedeceabbaebacaccdadaacaebaceebbdcbadbbaedbaaeacaebabadaeabeadddccebcbaaaeaaceddcddbecebdcdedeedbddcebaedbedebbbceeabecadbcabdacacbacaedcdcdaabcecececaaedaeecbabbeecaeebbaaeccabcbbbaaceadecaebdebadaceedbcddcaacaacbecaaebaebdeceabedcabaaccbbeacaebaccdaddeecdbcddbcebecbbdadbeabbcbeedbaabcbbcbedeaecadeabedbeaebadcabceadbcebdadcbbccedaeccdbcdddccedaceddbcccaeaeacdeeedbaeadaceaebbbacacbabadcbcbdceccedcaacdaddbdbbecabdbcbecbccbceabecabaecbbcecdcbecbceedceeaedaacceeecbadbdbadceeeaebccbecbbadadacbaabdeabaabdabeccaeeaadbbbaccbadddcdbbdcdeeedbdebababeeeaedcaadaceeacbceecabbedeeabbcadabceaeaadcadcddebdcaeddaaedbecddeeabdebeacecbddaadcdeadddacaaeeeabddebaabbcccaacbecddbedbbacaeadddbeccebbaacceeebeddaedbbeccdeaebbbeaacdbecdaadbecdadaebdbedebecaaadbaeebdbbcddcbaacbadaddeccecbaedbcbddecdaaabaaabccbaaabbabbdeecbaccbaddadabaaaccaaeeddececeeeeeeddcaabdeebacbacddecccaebadcbacecbedccdcecdeddaaedcdecdedadbedcbbeaebaeaecaabeaaebdbebdddaecabcdceecceeaaacddaeceeecacbaebaabccebcacabcacadbdbbeedabdbeacedebebbdadcbdadeacdbaeeacbddbceeceadaabcebaddceedddcabdaebdeeabadeabdabcbeadcadaeaeedbabbcbaaeaeabbddbdabaaedddaaccebbcdbbaadbaeebeadacaddebbeddeeadaeadbeeacbececdadccbadcbddcdaeeceeaaecbdbabcabdcddabdeebceeecbdaadedabaacbbabedccadaedcdaaeaaeeceacadeedaabbabeeeebadadebdcdebcaeabdebddaddadcdaaedeceedbbcbadabeecacaaeabbddabbaaddddbbcdceabcedbddacebebbcbdaeeacabcaeccdaecaecaeedabccacbbbbbaaddecadaacbceebadebdabbdbededcdbbdceaebddcabdeeadceddebdbcaaeebdbbbbebeccceaeaaabbcaabcdbbaebceaeddbdcccecbabecceeadbadcdabadebcecddcbdaedeaabdeddcbbadbcaaeecbdcdeeabbbcdaaaedadacbbacbddededdcabcddecabbdaeeaeedcdadabdedeceeaecbecbeaadeeeccbebaaddbcecaeedacaebbedceccccbaebdaaacceeeabbcbbadeceabcaabcbabaeeddbbbcdbbbabebdedabaceccecddabeacacecaaedbabdbeceaecdabeaabddecdbeadbeecbdcddddebcacceeaadadbbecdaecaaecabeedddacacebebacbcecbceebcebeccaaebbacecaccaaababeadeacbedbedcabdcbaddeceecedbabdebabcddeccaeadebbdbdbcbdaccddbdaabaedabadaccdacdcddbbbccddbcebbbdceadeeebebaeeaddabdadadaaccadccaaecdcdcccdaedeabcbbbaaddaebdbeecddeacceeeeccaecdcbceabebcebebadaaacdceedcbcbbceeadecaaeceebadcaeddeaceeddeeceecadddacaceeeecaddcedddabeccdeacadbbadeaeeddedcdaeaaccddbbbbeabcdaadebdcdcaaccdebddcaecaeebedaeebcadcedaaadedaeeecaedcaaaeaeabdabcaebbccdabadaabaaabcccbccaaaceecdcdedbbbcdbdecaeabeacaaccbaacdddceebcceebadaaacbeeedaadbcdbdcbadedaeceeacacadcbdbbbcedacdccecdaebaaeedebabcbeadeaccbdbddbdcaecabacaaeebbbbcbadcbbedcddeedebbdeddaebbebaebacccceebddbccaebebeabbabaaabebacbbdecadeabbebeddbaeccaacdcebdccbccbeecdaadcdedcbeebedcbadababbdceeeabaaaaacebeaccbacaaccabbeaeabeadeebbaeeabccddeaaaaedeeadacbeddbacdeabcbdccddadbabacbacbecdddeadddbcbbebdeabdedeadebbdaabeebbacdddbbedebccecbbeecbcaecbcacaddcdbaeabbcdaaddbcccdaeaadddccadededbdcadccdbabdccdeeacbccdbaecadaeccabbcaebdcdbcbbaebbdcdcbdebbccaabcbdcbcbdcebbbddecbbcdecedacbedcedbdebbedeeaabbcdaceeeaadbdcbbbedbbadecbcecbceeabdebcddabbdbaddcbdbbaceadedabbaaebcdbddbabacacccbdbedeabaeeaadbccaebcedeacbbcedecedcadcbdebeaddcdbedebaaaedbbddbaebeaedeeeccddececeecedebeeebeddbeadecdbdecceecadeedbecbeeeedbaccccdceadaecdaedaedcbdabcbebdecaaccdebabdecbcabdcddbebaddccdebedddbcdecedabdddeadacedebecabcabedeccbdecebdeaebbccacebeacacebadadaeebbdccbbdbcddabceddccadecebdeccecdacebdcccccadaebacceabccabeededdbebbecceadcecabebeaabebaaacbdeaebcadccabccdadccecaaaeedaacddbabbecebbeaeeedcbacceaeabcbbeebbcccebebbbecddcdadeceddbedeabecedeabadbebdccacbbeebdadddbdddadedbadbeddabbcccedaddcdeacbddbdaaebbbedddecabebadebdadbbaaacaddebdcccbedbaeabaacabbbebdaabaddcabcbbacdcbddcbedbaecbcacbeeebeadcdedaaaacecdbabeaedeeaadaacaabaceebeeaddacbdaccaabbdbbabbdbeabcbeebcaaedbdebdbcaddaeddacbdacebdaebeaccdeeebbadcecaeddeccdbbebdcdabedcdceebdcbbcbcbeddcabaabdcbabbeaaddedeaebcaebdbeeabaaadcaecedaedebacecdadaabcbcbddbdcadadcaabeddeedddabaaccbcecbebecbeaecbeebadbacaaaeeeadeaadebaceeabbbaabeaeeccbadabadcbabdccbaaadcacceacedcabdaddedbbbaabbcccdddabaecdecadcaabacbaebadddcadbcbaecacbebcddbaeeeecabcddeedbbccbedaeeceaaeeebcacecedddbbadcaeceeaaeeebacbabaacbdbebeddbebdedecbcbcabcdbceedbdbdbadbbdecabaeeabdcbdaedeabdbbccbccbeaedecbcdebedaeecaddacacccbadbbacdaeadbbaabbadbaacaebdcecdddacdcdbdaebaebbceebebcccbdabdedbcbecbcbdcbaebcdcebabaebbdcebadaceeecebcaaccbaeccbbcddcdabccccbaddadbcadabccceddeeabebebddbbeedeeeeebebeccccdcaececaceccaacbadacaecdcadacaecccaeddedececddcccaacbdbcbbdbdbddbdabdceacdecbbaecdacdbabccccebedececbbecdceeedbbaadbdbbcdaddceceaecaaabbddedbcbabeacacaeeaaeedbceaedaeebbdcbeabeaeebecaaacebbcacbeecceebdeeececbaabbdceeaaccdcbdaccdacadbadbebdaceecdceadeddaabeabdbdcdeaedbbbdcccbedcdaadecaccbcdcceebbbedbbbdeebbdccbebbeddeadbaccaacbbbecbbebdaeacadcebcddedbdaebcaeeeedeeadececeecdcbeebabaacaaeddaccebbeeaddbbdcadedeaaceedaacaeabbaabcebedeadbebdcddeabecbdadedbebedcbdbbdbecaeeeaaadaecabccdbeceeeddcbbabbcdcaaebedaeeccbbeddeedabbeaaddbcaaaeaeabaddcabdbcaecebabcdeabaeabbdaabbedcdcdcecbbdbbaaddcddccbbbccbbedceeadbbdbeecceccccebacadaccbccaaddaadccecbcdcaaedbeabaaceabbbbbecddeebdeadabbadbbbdacbccecdeeacabebbaebecdccdbbacccdccbeacceeeacccbadebccadaeddbbcabdabddaadbbdeddebbcbeeebcadaacaadacbdcaceeeaacaaedccacbacadbeadadcbbdbbcbbcbdcbbbddababadbedbcabedbdeeaaacdbeebaedbcbdbdccecebbddadcbbbaaccadccbdadaaeddebddddceedaecdbdcdacaecbbacabebceaaecaeabacdaaeaadcdaeecdbdeebcddccaeccdedaabdbdcceadbbcdcacabeecccacdebdedbabceccaeeceadccbbebdddcbabbaadeaddebdddcbaadbedabcbcecceeeabbbceeceebaedaedddeaabebcdddaacbdceacbbaedebcbeabaaaaebededebcdbcbdcedbebcdceabbadcaacbccdbccdccaadbdddeececbabaedebdbcdbcccbcebccbbbcccdacdbeceeecbabdcbcdebdeddacbaaedeaeacbaacebbebabdbbccaedadcededadaaecababbeadeeaaccccabbeeeeabebeaddcccecccccaddacbecdedddeabceecaeaccedeebbdadbbebabdebbbabacacbbcabeadebcaacdcbcedcaaeeeabddbeecdbddcbccbbbbbcaecbaccaadceecbeccaadebbcdbdaebebddeeaecacccccabaecadecabaebedacbedadaebadbdaeabbeeacabbbebecdecbebddaebcabcbaabcbcaeccdbbbaeebdcedbdeaaedcabaeadddbeadeeaaaaadeddcdddaddceaedebcbbabbccbbbababecdeebaabccdccdedabdbaceadbdebbdbbaceddacbdaaeeeaecedadbbacbacecddccdacbdcebdcedbccceadbccceaeabbbecbbbabcedcbbddcdbedceabaaaecaaabdeecaeaeaababeedeeebcbbcbecaaeddabcbdebadcaebacaacadcebdeaceecccaaabebeedcdcaddbadcdaaddddcbabcaacdaeccecdaacebacdcdebdddeddbcabbdebadcdbddaaecbbbaeacdcbbedbacbaabaabeaebaeccececbdadbdeabbdbeecdcdacacdabbebbaeedeccdadaacacdbeebbaedecdceccddadeaecadbedcbdebacdbacdacbeaedcaccaebbcdbdeaabaaadccdacbdcbdcabbcbeabbddbccacdecdceaacceeccdcdeebebebeddadcdeeebeabaccebbddaeabbbdeeedbdeaeaacaedbeccaceccabdadbedddedbcbbcbcebddbeadbddcadedbcdcebdebbeabbaabedacecabbdbcdedbededcdbcbaeddbbceedabebeaadcecaacdccacdadaeccaacabeeceeeeecaeeaebeeaeebdaaebcbeeecbbddaeadedeedcabacdcbebcbbabbcbdecbdeccdebbbbeedeeacdbeadaaaaaeebbbccabbcaabedbebeaeedbbebbabbaecbceddedeecadbceecbacaadbcacdbddcbdadccdacaaddbdddceccadcbbaeeecaadceccebedacbcccceabbeccecaadbbabaaeacedddeedebbcdecabceeaeabadbaccaedcbeacaebccadaebeebdedebddeeeadbceccbcedaceeedadbedaedadbeaeedccdbbddacccdaebceddccddabeeaadcaacadbdabdbebedecdddedeebdecaedddcbbcdddabbaebddcbbedeccbbacdbdbdadbecddeeabcbadaaeddaaddbebbeebbdabcccbeabceacecccecaecbdacaeddeeccccaeabadcabeeabcbbbadbddabdbdbccccebcadcdacacbbbdbddcebcdcdccdbeabdedebbbdebdecbeccceebdbeeddabaecbecebbcbeaecdccdaddbcabbddbcacecdbceddaeacedbacedbeccbbeeebedcacdccbbaadeeddbdbbedbdcaaecbdcbcbcddbcbebecbabcccddaebddcaaaeeccddbadabbecabccedccecadcccaabcdbeaeaacabddbcabacceaddbbbaaaaebbacaeacdbedaeccacdceddbbecbcdacdcabdeaeedccccdecaebecedbeebcdebedbeaddaedecbcdbaeeaaedeeceeaaadedacddcdaadceabdabaeeeebdaccacbadecbeddaedacaaabacbddeccedbbcdaebbbbcaabeccbdbceabbbeecdbbcbdaeaaedbebbddedcbdaedcbddbaceadccedecadcdbeeebeadcbebdaeaeaabdbcabbebebaeebeeeeeacabeadeacddcaeeebeeecbedaadcaaebbbaedeaaeccbedbcedcacaecdecbcbaeadcdaaeacbaecdbdbaedcecacdceacacecdbeadabbedadcadadeedaacebbeccdaddadeebcbaabbbecebbeaabddcabeddadeccecccdbbbcccaecdbccdcaaeeddcdbbddebdecdebcacedbaddadbeeeacdbaaecccaeaaeedadaebebbeadccaddaccaecbeccddadcdcbbbedeedcdeebdebeaaaacebdebaaccdddccedcedbaadebcdcdbbedcdcabcdaabcacaadadebacbbeaadaadebbcdceaabaceddbaeaeaddceaaabecdcdabeccdabbddceaaccaceedabbbcaaaacceaeadaaaadadacdcbdadebcadccedaebaabcbcaaebaeaccabacbaebcbcaddcbdebeacbdbdddbdabbaeecddbadacbcbebeacceabcbccceedabebbccedebcecdabcbabcebedcbabddedaaadddacabcdceadedbdcaededeeeeaebcbdbedebdcddeddaacabdebcaaeadceeedcdbebccedbbccbcdebbedbddcbcbabdbcdcbcbebbdeaceaecdebbdddaaceddeeaddecdddadcaadecdeaceabdedcdcbaadcaccdaddacddcdeeabbbaddddcdeadcceaeaeadcccaabcebcbbcedacdcaaadaeccecbbadabeebdaecadaaedbdedadebadcabcccbaeacdeabcacaababbdeeedcceebcbbeccedbecbedbeddbdeeeaaddeeaeecbecaadabbaabeccebbddeddddbbadeebeababdeadddeccccbadbededcbdcdeaebbbeaddceabcdecdebabdbdbcebaeaecbedbcdcadaeebaebebadbbdbbadcedccaaaebbeacaedeecebeddcccaddbaedcadbeddddabecaadccedcbaeccccdeeaaccebdaeeebbcddbcbbeeacbcdcaeecddcdeedaebddccdeabaacecadddbaadbedbbaaaededeecbdcebcabaacdaecccacebbeeebedddbcaecaebbbdeaebdabeedcaadbedddaebbcadccbeedccebbcecacdaabceadbcbaaebaaacbceddeeeabeeaeeeaecceaaaeaeaaadcdcdeaeededcaceddeabdbdcebbcaecedbddcccdabecbbaecaebceaecdeabacaaebbacdcaeebeeddbabdebabddaebeaaeeddbbbceccccbdbcdbbbceceedddbeaddeadcbebeebbceccdabacbdcdbaaddaededbbeccedbadbcdeedacbdeaeaddababddedeecacaaebceabedddcbaeaaeabacaddcdbdacdeacecbdbededcdacadecaadedcebebbddbbeceacdedeeeaaddabbeaaebccddececeacaeeeecdeceeeddbeeeddeacecceaabaebaccdddcbcddccddcadedacecdebbddaebabadbbbaccdbbabbaadadabaecebcdacabcbebebeeaeededeaaeeeeeceaadcbcccdaabbebdaceeeddaebeadabbdedcbdcccdebbadacbecdbcedcbbceceddaedbecadebecdabacbcbdaacecbeedbdbcbeececacbbedbccacccbaaababacdabcdccacacbceebabcaceecedcabdebbacdaddebaaeeababadbaeecccbeecbbcedcbaabdabbcdbbdbbeddedbbaabbeeeadacbaeeaccceedcabadecdeebebddacbeaadaeeccbddebbcabcbecaddbcbabacdbedbdeedcccdcceaabebceacbdddcdaddeebdaddaaeddadaabaabeebbcbbbdddeabebbbdecccaabedaeeeebdbaeabeacdadddbdcddaaccdcdebccbbededbaeeddedcaeeaacddbadebdedadbdbcdccdbcccbeadbdbeeecccedceaccdebadcecddecabaeeebbbedcbcdbcaaccdcbdacdcbdededacbeebcebacbaddcacbddaecdcbacedcbeeadcebaedccedcacedbeeeaeacbbccaecebcbaaebbbdcaceedeaeddacccbcbdddadcacdceddbdbeddcdeddbecddddbdaccebccadcdcaaebcacaedbacacabcacaacaacdebaaebdaebeceadddebdcaeeeecbdadddbddacdeeccccbbcbedbdaaadacddbdcebabcaaebbcedbbbdcdaddbadceeebecacbddacaeabdcbceeaadebddcbceedbbeaabddeeeeabaeddcdacebbbbbbaceadccdcceeeceaeacaceecccdaaecbebadaeabdedcccebcccccedaddbdcbabeedbdebaecbdbebecacdbbcabbcaceedbdbecdbddceddccceccaebbcdcddacdaccabdddbbedbaceadbbbcbbcbbeaeecacbbceecdbdecaaeaaeccddadbedcdccabeaebaeccbadcdddbaedbcccbbebcacbdecaedbacaeeebcbabdaccdaccacedbedeadbcbadcbdccbbdccddbaecaaabadcdccdecaeebebcbbeaebedceabeccbcaeccbaaeabcaeaeeebcecbadbdcedacbdcdeecbedecdbbccdcaceacbeaacbebcbdddebeaaebbceceecbdecdbdbeaeaabecceeadedeccbacecdaeedabeeedcdaeccacccaeaeacaddabebddccccecdddcccbbcaabbedbeabecbbbeacbaeccaeebccbeceddaeccbebbaeccdbceeceebdebdadddaacaabdddacccbadddceacdcbacaaebeeaddbbdaadaccaceddeeacbddeacaedbaeadeecabecededbebaebeaacadbdccdccccaeadadcddaccbadacaecabbecaeecbdacadccebeaceabcacebcedabbcbdcaccdadbebbedadcabdcecbaabdbdcebbeccbeabecccbbebaabdcedaeacadcaacdababcdebbddddecbedadccedaedbccecdbceececbeebebcececdaadecbbcccecaebacabbeecbccacbabcaadaaaebaaedaceedbdbaadcdaeabcdaeaeadcdbaeeaaecaedcdbeeeeebeeedbbaaadddadcbaececbbccccbbbdbebeecedacedbcccbaccbbbeaaadcdbecddbbcbbdbeedeebcdeecbbdbaaacbdaacebdacedceeaecacbedecdbaadcdcaebddecabbadebccbababecbdcaddabcdebaadcaedbaccdacbeedccaabddadddcccececadadcacccddbeedaeacaddeeecebcbeaedabeadaadaebaaddbbeacbcacbaadcddccccebdccebdceaadaeceebbddbadaeeebecbdeeabcbcceaddbbbbcabcdeccdbdccdeebeebaeaadecacecaeceecaddadebcbdceabdaedaddcabeadcbaabecddeddcccbbcbdabdbccdbaaaabdeeeaceddeeababeddaecababbbaadececcceacacdceaadbbdeddceaccbcbdcbccbdcaabcecddeebcceecedcdebcabaeeacedeacbccceaaeaaaeaeeccccebcaebaaddbddcdacccccbccedcddbebddceeaedbbedddcacaeaddcaaaeabaddbebcdbcdbcacabddecebeaacddddcbcdcaeadebebedacaedaabcbdbbecaaeddbaaeeaeeeeeeeaacbbadebdaaeeeaccddceaddeeecceaebcaadeeadeccccdbebdacbaaebabacecccbeddccaeeedddeccecbeedeacdddadccddabababaaadbddaadeadcbadcdadaeaedeecbeaddedcceeebdabcebdeddbaadbdbdecaeaeeddaecbbdddcddbbaeacbeaedcabcbcceeccadaaeeaecdaddbebebcacbcaddcdeabbddcecdbeccabeeaeacacdebcabbaeaccbbdeaecccddddaeebcaceddaadadabdcbaebddabcedebadcdbebaadabeeedbebebdebeaebeaaddbecacdceeebecdceedeababcbecbceccbdaeeccedeccaaaddebabbddbeccdbbceccbcccaeabccbaeebbbcadcdddebbdeecabeddcceebcdbdbbababbccbcccbbccaebbdacddedbcdcbaadabeddbeeacaeeaaecebbacaadaabddaabaaeeaeadbbadbdcebabcaadbbadeddaceddcacdabeecdcccdabdecabadecdbcdaaabacbcdbccaacedcdbadaecdedeabbdddedabcbedbdabecbbcddaeeeccddeaaaebaceeeccdcebbbdbdeccdcdebcdedbcebbabacdedddedbbdecbbabaedcdbaddeaaeeaddededddbceccbaaaeacddcdeedcbceeeceddbbdaebaebedabdaddcdeccdcbddcceaebeeaacbdbecbeaabbcaeaacdabdeddaeeaaccdeadbbbdbebccdbaadebdbaeecceadceabedecdabebccedaecceddbccebdacdadcdbbebdcaaadcebcdeadeccccceddaebcbcbcbebcbdecedeccdbdedededeeeaabbbecbbccdeabbedabcedaeabbaadccedddaadbdbccdaadaacedbbadadeaaeadbadabacbcacdcddebddbdeecaeadbedbbceedecbcabeeeedcbebadccaeaecabbeedadbceecaebcedebdbaaadeaaeeeadcbaebbaccacddcdbdaadebedbabbbceaccaeedbacecdbaeeabddddbeabbcaaeeaebbbcdddaebedbeebbadedeacdceaddeceaacdbeacdcacabdacbacbcddecddabcdaeedadddaaadbeaccaadadbebaacddcacbacbaebeadbaebcabbcacceedbabbbaaaaddabddabdecbbaebebbddedcbddceeecdeddcbecacabbeacdcdcaecbadcbcdadcbdaecebadadecccbbdcddbbccdbcbeddcdcaddaceeceacbedaceddcbbbabbedbdedabcaacdbddbdadcdeacadcbbbecaabcdccddcbadceebbaacbcdaebcddeecbebabbdabcbbbeacaecbeaeacceabdddadbccbeadadaddecacaddbdddddeabcbbecbcdbebbbecbcbaabccacbdbadadbccbeadcadeeecbecdbeeebbadeebccedadcbbaaebeaecbcecdebacceeaeababeeaaaaeeecadadedbbaeacbbbcadddcdbeecacbaedeedbbbdaebaedebdeebeeeabaaadccbbcacdbaabeeadaccdbdbecebeccadadbbebcdadeaacccadddceebbbcbccdbeabdddedeaaccaaaabedbccccaaabecdbedabeeaebceedccedbcdabaeeeeebcabcacebedbdeedbdaacdaedcbbbeeebabceaaceaedcdeccccdddebebddacceccaeccacadedacbbdaabedbadcacbdabbeeeeadedbbabccbbcbbabecccababcdeaddcebbcaeccebaacdacbdbaecbebbddeddddcaababcbedcaecdddaebeeabbbebbbeddeaacbadebccebeeddaabebccdcdbdadddbdcdbbcaecbbcbacaccaeddccccbcbaaddcebaedaacecedcbdeceaaeeccbcceeeadaaabbbadbeeaaeccbcbbbbddbeeabcbdbbbbaaabcdbecadaeeaacbbbeddbebdcbbbeeabacdcdbcdeebbcdeadcdedcddabdedbcbedaebdedeadaceadcdadbbaeaccdbcedddabdcbdbcbdbcedddcddaccbbeaebeadabacdadeecbebabeaddcdbdacbcabcebdaeeaacacbcedcceebbddddceedbcbbdbebecbddabcbeacaceacadcbaaebdeedceacbebcdeaadaccecddbcbdcdbdbaacccdcecebddaacdbdcbcbcbaddccdcadecebcdcaeceaaaeaaebadeddbeddcbdbbedcacccbbcdaedcadaceaedddabdabeaeadbccdebcadbcbceccdbdceaebcecbbddaedbdedcecedbcdbbcccceecbbbbbbaababbcacecacddadcbddbcbecbebdcccdebddabcebacaaaaaecaaeeabeaecdcaedcbdedebcabccbecdccabbcbdabacddbbcedbbecadcaaedbaacaccaedaeabeedeccecdddbebebccebccdebaedbeacbeebdebadabaaadccaebcccbccabeadbcdecdcdeccedbcbdababbeeaabcacabedadbbbcbbceacabaaeeadeececcbbccbddbacbaacdaceccddbceebabcadecbcecdabbeaabbaeebbddbecdeecebcbaaabdacbbbaeaeeadeeeeedcbbadbeddddcbdaebceaaccebcccaaddeaddccdebbdbababebdcbecdadaecadeddeaacbadbbcbedecccdabeaeddabbbccdeddacaedaeceeebcaeadcdedcaeecddcaacedcddbeaaadcaeeabbdddaadddecbcddbabaadbecebcbceaaacadbbeaedcbbaacbeacabaaeacababcbbecadddedeabbdeeccacacebbdeadadaacdcaecdacdcadbcededbbbbbaeaaedbcddcaaaedbcdbdbadddcbececadccaddeacdebbedccccbddcbebeeebedceabebcaaceaaecddbceaedecadeabaaaceddccbebcbeccdaceedbbcedbdcacaecbcbcaaaedcabbbbacaeaedecceadebdacdeeaaddceddcedccabeecebccceebbcdedaaaecbebcbaedcbcaaebddecdebedbbebaebdaecdbddedeadabcdecceabdabdbdaadebdeccecbaedacedeabdaadcccdcbcddeccadeabdeddcadeddadeaeeadeeaecaedbecacbbdeeeedcdaaaaecddadecbadabdaddaeebaadaaacaaecaaaebabadbecceccdcaceeadebeeaaddcabdeaeacceadedddeadabbcbebecaeaabccacdbcaeecbeadcecccbdabcdddcdadabaedacceecdcdbaeedadbedbabcbaeabceeedcecbdcdedbcceacbbbbdcaccceddabccecedcdedcbadeeaaeebcebcecdddddbecddedbbcebbecbacbddbdccaaaaceebccaaaecbbaedacbcecaeeceddbedccdddcecadedccabceabcdecedbbbcdeabcadacddadaaeddeeedadbceddaebbbeceaccbecdbceabccceedcbbcadabdbebbbecdbeaddabebaaaddeaeceaebcecaddebcdcbbecddaccbbceeaecbaacceeedbeabaeeccadcaabccabcdaccdaedebacecceaccacdcbdebdddabdcbbbdcbdcbdaaddaceacabccdbbbadeecaebebbecabdbcabeecbebebdeadeeabccbbbcadececedeceeecbbaddaabebcdbaceeaadcacbbdbeddccbbadeabedabaacacbcdabeaeedeaaceddbcbedebbeedbeeeabdeebbbddeeabcabbbaeaadaddccbadceebdbbccbaddbedcecddecabacdbacadacbcbacaaececabedccabddcceaaebdaebeaecaaaebaaebadaaaedccbaedebcceaeadeccdceebdbaaeadddcebeadcdebcccaabcccdaacdceaaccbdeadeaaadddeeeceaccddeecebcebbedeaaebdcebbdeaaaeaecccecdeeecccaebbababceddbbabbcebdaadcecedbddbdaedbcdceabceeedeadbebdbbcedecdbeaedbaecbbcabaaaadcbcbabdaeadcdddcacebecbebccabcbadcccccebbdcabbebaabdddbcaddcceadacaeeccbacdbaedbbeaedbcbdadccaceeadcddeadedcacaccdabceedcbdbdcadcabebacadbcaeacdcebbbabdaacdaaaadbcbdbcbeeeccbaaddebebcccaedbbcbacabbdaeeddcdeeaceddbecaebdceadddcebbeaaddadbeeeebbebdbdedceddecadecddebbdceabcabdaaeccabaeeabbaeceabeeabadacaedcbcbbbecacecacdbadbcbbcbddcbacedbcdabecddadbcbbecabdaababdaccbccebbcacddebebdecccbeeaeddbbdbecbbabacecbcacaebaeecaeccbebbdacbedaccdcdccaacceeadacdebeaeeaaacacccbdbeeeedbcbddaaacbecdbbcccaeaaebecceabbddeaaadcbeeaaacadeeddecdabdadbcaddaacbabddaaebccedecdbcdedbcebebbbbbbbddeacecadebebadcedcbaaaebbecacecebddcbbddbccbacadedaadaddbbdeadabeabacdacbbccabcbaececeaddaceddddbccedeeadbeedeabaebaddeedbeacdcdebcdadccbdcadccbdeeebdedeccdcbbaeaedabccbcdaacabccccdcbcaaebeaddcaacbdceebbbddccdddeaeabbcaaccbcdcbbddcbbbbdbbaebbeeaabeacdaaebdbceaeebcdeddedaaeeaddddaeecbaebdebdebcbbdaadabaedbbeeabddaecceeabdbbddaceebaacdccceebebdeebcabacaceddaebaedcaddcdcccbcecbdddabacbcaabacabbbaaecabbeccdedaddadecbbadcaeceeaeaaaceacadebbdeeeeabcbdddcebedaccabacddddaacbedceccdaabdddecbcccdeddccaeaebedabccaadceeedaeaccaceebeebceaeabdbbceeacdeebebcceadeebbbbdecaeeebaddccaeecddcddbadedcacedecaeabddbbccbbcdebcbceeebcbdbdcaacddcdeabcedcdedebaddbbcdbcdadcdbacbbeebeababceebdbeacadbccabccedddcaecdbcaecadbbaadddcceeaeeebebcdccdecdbebadbeaadecccabdaddbbdeddeadccebbcaedeecebecbeeabaadaddebaadbacdcddecbcaabbbebbaeedaadcbacbccbdeadaebeabddbcacabebcbeeebeddeddedbbabcdeccaecbbdaedcbcbecceeaabecbceadabbddceeaaaadaedbcaacabdacceddabdabcbcddbbbbecaceceaaeeaebdebbdaccbebaedbdadbddadddbeacaeaccdceceaacbdbdcaadcacecabdeabeeeeabbeeaebbabdcbadbbabdbcebaacbeaaeeeccaabeadabdcbaecdcebdabccbcdabdeeddcddcebcaaacacacddbeeadeeeeeebdcabddbeceeeecacbddaeebaaaaeeadbbadaabdddbbbdddbaedbccdcbbbedcdeecacdadabccdbdbcccedcedabdbabedaaadbdcadeedeecbadaeeccecaebddeeaaaaceacbecbbabdacbeeaebbbdacebbdadebdaedeadcaadebcacdbadbbddedbcdaedadccdbcadeeaddccebbdeccbbdcebdbdacaeddecaacbaebcdeedcccebcaebdabdaebbccadedabdebebaeaabadcaabcacbdeceeeaeedbbbbcedbedbddaecaaddaedacbdebecdadcaebddcbbcaadaeedaebeaceacacebdcbaabbccccbbececcabbcaabcedecdeabeaebbcaebcabbdebadadbccabbddecddbeebeddbadadcbacdbdcebcabcceeedccadcadbacaedeebcdbeecaaaaedbbdadbceeececdbcbbeebaadadbaeaebeadeaaaedbbbaebccbbcecedbaddceaaecadeccddecaeecacdecbdacbbeaedaecbacbbabddbeeebadabceabebdabedecbdaeaecbeacedddbeeddbdbadcdeaceaddedccceeacbdaebeeecaaecdbebdeceebaaeedeeacabebcccbdcddcbbaadaaccbaaabccdabbdecbbededecbcdccabceecacaddddcbbbbbdaabceacabaadcdaabdcecbdecddbccdbedbcedceabbeecbbbedacdbebdccdaecaccddaebcaacadcadccaacebcddbeeaadddaedecddecdceaeaccebebedcdbbaabdebecaecadcaacecbeadeaadeabecebcccaccdbddbeeddcabceaeaaedecaccacdddbcddebbbbeadcaeeddecbbaebdcebbbbdcbbedbaceabdcaacbeeaebcbadeebceebcedbdebdeacacecebcecbadcacededccaaeeeabdcccebeedbeeacaddeaaabadcbdccdbdaaecacbdcbededecdddaebaacbcbdcbbcecadabbacebecdabaceeaebecdbdbcddeeccececacaacbbabacadebabbecdadcaebceacabbbddeaaaadaeeedcecbbeebcdbceaedecececaaededbbbbceacabedbdbeeebbcdcbeebdedaccdaedeebeaadeceecbddebaaceebedabcbcebecdedeccdceabbcbbeecdebcbcdeaeeddacbcebdaebddaacbcdeecddddeacacabcdeeddeeecaadbbbdacdcddcbdedceeddcacbbbeecbeeaabcabeadeaaaaacaebadeabcbdbadeaccaebaaecceabbbecdccdaadddaccaeedcbddbaeacdacbccadeeceacddecedaacdbcbddaeebccbddcebdbadcaddbcbcbdddccbdeabdccdaccddddcecddbbdbeeababbcccbaeaebcbacaaeebaedbecdbacbcedccedacccecdbbaedaacdaabbdbcbaadcebdcdceabceadeccdcebeceadacbcdedadaccaedbaeccaeeceabadebacacbccaceeadbdabceddebcaabbeabecbbbabeabecaceacabbccbbbabcecbaccabcbbacaaedeeaebaacdbcaabbeebbdbcebccccbbbaccceeeceeadeacebcccaccbeddcaededddcaedabacbabdccedccadbccedadedcaeeacdabceebbabeebdcdeccdcdceacdbeabcdcaeacbdeeedebaadbedbeeabbadccaddbbcebeeedddaaeacacdeeccdbbcaabdadbdbedbdbbdeebbebccddebbdebbaeeeeacdceccbdcaeecbddcbacdcdbcbdabeaceeaeeacaeceaaaceceedecaaebdbeaacceabbdacdecbdbacedbaeebdeedbacadaedcbbbedcebcdacadccebcabdaadddebbbdbdcbadcaecdbdabbccbecedbeaadeceeccadaedaaaadaabebbeaabcaaeddbbcbdbdccbedbdbdceabcbacdcdedcacdebcceaaadaecceaacceeeeccbdbeccbadedacbbaedcaaebbdebacbdcacbceaedadbeeaeabacedceecbccdcdadedbeacaecbaaadbeecedbdcdaeaceecabbbadbaaabbcdccceebeabebcedabbabedeceebeebeaabaeaeedecdcedaeabcbdbdaadcdceeadeebadbacbeadbeceacedeadaccebbcbbbbabacadeadbeaacdadcabedaabebccbcccceabdbaabdaacbccbdddedccbdbabeacddabceaddeaadcdcdaaaccbbdbbdbadceceacbebadeeebccdaccbedadcedeeccbdeddcbacdbceccbbeddbeaeebdaedbaebbccdcdceeaceccbbcbdacaabeddcdbeebedbddccabbcedaaceccbddcbacaeddabbebbebdcaccaaacbdacddacdcbbceacddaaadbccdcbbceabdabccceeabdceacacdbdbddcbdeaabdedccdebbcebdbabacbbeddeddcceadacccedbebebccceedcaadbccddacbebadcceebcceddcbaeddadbaebbbbacabceaaebaddbcaeaebadccdddabaeebccdaabbbdadaeaaedbbaaabdddcdcaebdeccabecadecdbaadeaadaadeebeededabedcecacceecdceddcceaaaedacdacbbbadaeeeaeecdacebedacbdaaedaecabcebaeaacdacebccceadeeddcecebdeaceecebddaabdaddbbdeebbbcbeeadbceececbcbdebcbaddebeacedecabaadcdecdceeabbecadcdeadebbabadbdebbadcacabadddabadbaceceadbebdecaedabcbdadbeeadcbedddcdaaddeedaddebabdaeabecebddeceeeadccebdbcadbecbeabacdbdadeaacdcadcebcdcdeadcaccbcdaaebcdcbcaaebecbaecbabdabdaeeeabcabdbeccecceccddaadaceaabbdeccbeeedaaceabddadccccbdeccdcabeddaddbbbdcabbcdeccadceacdabdadeddacbcbaddacdceacddaadbecabaddcbcbabbbcebdaaedabccbbaacebbaaaceeeeddcdebcbaeabceeecaadaaebebacdebbcebcdcdaaadeeacabeeaddaeaddcceacdbabaccaddcecbbcededaedcaabceaadbbeeacbeabcedcdacbbeacddeeedbacdabbaedacceeebbbbbdeedceeddbcdeebcdacceeabecebbbbebecbddaacddddceadccacceebcaccadcebbeceedeadecabeecbdbadeadbcbacacddbbebcdbdeddeaadeeedecddbadcdceabbaeaddbbaadaeaedbbbbbdabccadecedeccbcbbedcecdbeeeebcacacbabdeadceceeeecadacecdbbbceecbccbcccaebededccddddadbdcabadaeaccceaaaeaaedbedaeaccacbbbcebaaabdecccddbabbabcecaaddeaebccbacdeacbbdedbaabdbdddbccbaaddddeaebeeadacbcbbcededeaeecdbcbadeedbaebdccebaabceabeccaaeceecbdaaebceaedceddeecbcacedaedbcaceddcebbdbaedcabccbdbcabcaaccebabcdedaadbeedbaeabbddeedadbcbceabdcbaacedbeacbedbdcdcedcebcabbcbacedecaeaabcacdbeaeecabcacebeedeceaacccdaacdeaacadeadcadeccbdbabeceeadcbdecacdedbaababedaeeaacabaabbdedeacbdadecaaceebcceeadcddbbbdceaaecacedcccdbaabacadeeddbeccebabadddddbebacbdcddbaebbcbcacdbaabddbcecabeadaaedbeaaaeebeeecdcbcaacaadbcbedececdcdbbdbceaedbdebbcabcdaacecaeaaaabdabdddedcabbbbccedaeaedecebedabccaedaddaceabeacbccdddabccaebbeadabaceeeadbbebbdedaaaedceeaddddccabdaeccccbcabcabddeadeeacdbcabedecbdeeabdbeabdeedbccbccceccdaccebdadabcabdcbdaaaedceceaadababdcabdecedeacdecbccbcabddabbceebaccbbdadbeacccecdddeadcdabebecbccebbdeccddeeaeedabaebceadbabdaddbccecbacdbeecbecedbbbeeaddabceccbacecaedaebbeadbccbcbbedaedbdcbebacbbccebcdddcbacdbcdbedbccecaebbaeeeabadbeceeaebbbbdcabedaeaeebecbbddebdcbabccaababbcbdbeacebaeececeeeaedebcebdcbddacaecbedecddaabbeeebedecdebdeeeceedeebdccbcdbecdceddddbadeabdbdccdcddccbeaadddaeaacedbcddbbaecdbadecbebddccdbbdeeaaebbbeecacaeecbadbbcecdecdccaebbceeadccaeaebeeecabcecebacadcccbeaecabccbbacabaddeabbcddcabdbedcccabebbdbdebaaeeccccddeeecedcbddcaadcbdebbebabbeadeeabeeabdeacaaabdccaeeacedcbeaededddecddbabbacdccaddbeeacbbcbebadabbaaeaeccdcddbbcdcaaddedaddbadecdadebbeebabadeacdbbcaadadcaadaddeebcebeadbcccaeaeeaeadedccbcdeddecabdcdadebcbccbdecceceeaeabaeeddcaaabdeaebaaaecbabdeadaeddaccdbaebcddaebdeeaacbeecdebbabcbecceaeabcbaabbeddeaeeaaabeadbddcbbaeaaedaeedaeabeaccdaceadadedddddabeaacdcdaadadeabdadedececceeaecabeaceadadccebcaabeccadccbcdcceabcaaececacceeeedcbeadeabeaeddbaadbabcbeaaebdbdbaaabccbcadeaddcaabbdeeceedbbbeedadacdabebedccbcdebedcdaeeebaddcdbcaedeaeaddcaecddabcccaaecbaebdedcebaddaadadeeaeddebcbecdbcbbdecccdebbcbaceddeedbecccbdecabbcdabdbcaeaddebccedbaccbdeaacaadeaecdeddebdcdbdcecbcddebdabaaeddabbbccedadaddecacbcaceadbacebaddaeeeccbceeeaaecedbbcbedcdecaceeebacaeecaaeebaeabbdcedacbeeadaeeaeebbaeeeacaebbaaccdacecacbabdaacadecabcdbacaaaabaedecdeeecaeeedabcaceeecabcceebbcccdeaabbdcadbcacbaacbeebbdadbadbbbabdacaabcebcadecdeebeaeaebbbacacdbdbabbaddbaaedccbcaadcdedccebecaedbecadeeebbbbdaccdaabddbddbdcccbbaeaededddadcddcebbcbbdeeeedadbeaadabdbbcbecbacbeaadbacbbdecbacdbebcddacbbbcabeeedabcceabcedcaadddaadeebbbaaaacbbeaceabdccebdbeaabedbaebecbededaddeeeecccbaacbcaadaaaddbebececbeadaaeabdcaabeaceebaedcbabaedcddbabcebedadbacdedecbceacaaebadbcbeedecbcccbccabdbbcbbdadabbbdadadcccddaeadeccbccadbbddceddccecccdccbacdaeacaaedaebaedaedadbbcdedbbedabbcbabadbbedbcadcbbeeadeeebddeddeaebdbdccebbbbcabedccdaadbdaaaaeaebbdadccdecaceccbaebaedddbacbacbcedeabdeddeddadebebbdaccdabedceacbbbecaaadbbcbdabadebbdebcddcbaaaeabbccbabdabbeceaaaddebaabcedbaccabedddcaacecbeeaccdcdebddebaaaebbdaedeedaddeecedddbeaebcdbbedcbdddeabbacaccabaaedbcadcaeccdeacecbdcbabedcdecabecccaaaaceacdecddaecdeeaccbddabaceecababddcdaddbccddcabadbecdbebbbaecdcbbdbbddbcccdbcbbbdeebdbdacddacabbccbedabdedcbcbcdcebcaccaccbebaedcdceadbedcddcbcdbeeaebaaddeaebcdabcddcaaaddcbabcdcbcbeddaddcedbaeceeabedebdeeaebadeeceddbceedccaccbdaaaaddeaccabebadadacaebcaeebccbcaceebdeeeebddbcdbacaccaddcebcdaaedbeabcadbdddcaebebecabaedaabcbaaaadeccabeebcbadeeebbbdcadabedcbabdababeaeacddebcbedabaddcebabcacbeeeaecadececddcbcdddcbddcacbadebecbcccbecbccdddebeeeaedcbedbeecadaaecdedbabcdcbaeeabcbabccbcdbcdcbcedaadaecbdbecaaaebbbbabacceaaecdebbeecbebcbdaebddabebcbbeccdaceecbaeebcaebbcecbdecceedeccbbbbacdeacaeecbdceccbdababbbdcedeabbcbeaededeccebceebebbbbcbabeabeceeaaeaaaeebebaadccdebdbaabaceedebebdddddddcaaeecddccadccebcccddeccadceacbdcdbebcaaeebdaabcdedadabdecadbdebaccdccdcbdaacadacaeecbeddeebcccaadbebbbeacabacdceebedbecadcacdcebddcebdbabbcebabbbecbebabdaeccbacabbdbeedddddeddbedccbbaaacccbcdcaebcbadadebdddceacbaaeececeaccbdaedbaabaeecadabacbaaaeebbabbacaaecbaecbecacbdeccacccbeabacdcadccbcdbbdcdaadaaeebbcdebebccaadeadbcdddabbdbdbbbaecbeddccebaaddcecdaddadabeeeccecbdacceabdabdabedabacaceceeedadadbbdccbeacdbeaaeadaaabaedbbbddbeeecacacbebceceeaadebbdaeecdeacabbaeadaccedaaaadbadeeaedaccbedbaaedbbdcaacadcedecbebeedbedacdaddceeaedcdeddeecaecbddbbbacccadcccddabbeddbcaceddcdaebdebaaecbbadcbcedabbaceebedbcbcbcadbaeddeaaedbeaabaadbddbeabedbacdbdeaaadeceacedbeabbdaceaecbeecddddbeaabcdacdedaedcaeccedaaddddeeaaaedbdeebabacbceecdbbadbbaeeebaadcaebabbabaddcbdceaaeacaeabbacbdebedeeeabeabaeecbdcbbbaceeceeaadaacaaaaebecdbbedbdadcbdddcecaeeeddbccdecaeceebeaedccdbeebddaaddecedcecedbebaccaeabeebaaeecebaddaebbbaeabadbbaedcdccacbdaccebadeebcdabeddeeaebdaecdcdaaaccaaaeebcdbaeddeeaeaeacbdcdddbaaeddedeacbbebdadeecdaccbebedcbdabdbebbaacddaeeaceabedbaacbbaabbccaeebaeaededaadaddcbdbbabeecbbdcdbccbdbbcaaebbaecaebbbaaceebbdaadcadcdaedecaccbebcaacacdcedecdbddebdbecdcaaeddaaacbeedcabbabcbdceddbedbcdbcbadaadabbeddecbcebddabceaaceeaabbedaabecabcbccdbdaddbbdeeeeaaabbdccccaebabbadcdddceecbebbaecedecbcdbcbddcedacddadbadcbdcabdaadbdccacceeebcbbbedebacdcbadceddedacbceadbadbaeaaddaabcbadbccaeadcdaaaebccedbcbcaedbbacbcacdbacbdccceabdedabceeaaddbbebbbedbbbccbdbdaeedaeddccadeaadebbecaceaadaaadeccccebdebdabdbcedcaadaebbcbcbedbedecddbcebdecdddcacbecabbbbaadacbecbbeccabebaaaeeaceaceccddeceaceeabbabbbcacdeedcabcddedceeaaebaeacbcbeaeccacdacdcaebdcbbabdeabdedeeaeaedebbeedeeddadbebdcebcbebeccbdaecceaadacacaaaabadeaebbbadaccedececadbceabbcbcbebcacbdaaaddcbcdbcbaeaeaaacdbdcebedabddcdaccbebdcbacdeeeedeadcdbbceebdebeacbdccbceeecaeebedcbeeaaacbeabebdeeebebdcdcaeceeddbccdeeebbcaaabbdcaceeebbacbbbbbecebcaadabadbcdbaeaaeddbeaacebcadcddadeebbededadbcbeddcebcedcbcceeeaebedeedabcaaedbdbabcaabeadaeeeccaabdbbcabbcadedcdeeaedcbbdaddeaebedecddbadabaecaacdbdedcdeedaedccbddcbbdbddcbebdbbeaedbbbcdbdbabecabebdedcdbebecaeddaaabedbdebaaddeccaaeadcdcabbdeedeabbadaddedaaacecaeaaeccacbcbacadcebbecabdcdadebabdbeeceebabeabdbececabcbecbbdbcacdcddaebebdbcecebcaaeaaaadcaeeccbdccdcbdbbabcdbcccddaacaaadceeccccbcdbbbcdbabedabbcaeaddcacdabaecdccadacaeaeeacedacdcedbededaecbedaebdceebeceaccccedaaaaddbddddaccdeebabedabacddecceeeeeaebecaddecedbecbaaddaaebceebdcbadbabaaabebccedeeadebdeebbebddbddacdbdaaeebeaaabcccdccecacaeeedaceadcadaecadeeaeccdeeeccdcddbdccbeaceeeeabbbbeadeeaaadebdaaedebdecaabebbccabdadcbdeaeaeeababeabadcebbbdbcbeedceabacacdecdbaaaaccaebbbaebbdbeaebccdeeeecaebacccbedcbaedcdbeadbacaaddbceaccedebcacbcaccdbbadceabebbeeadbbcddbeadccabbaccbedbcbbddeedeceeaaaeebbbbcdbaaaccddbcdeddacdcecdedcaeaebbbcbcebedbdceebbadacabcbdcaadcbadccaaabcedbceecaceaeecdadbeaceeabaebdbdbbeebddbacbadcbccddbdedccddcbbdddbbeeeaaaaeabdecdbabbdbacedebddbbedbcddbccdeedacbbdaecaccdacccadacbecabebcddbacbadaebaeddbdbddaebaadbcedebeaedaedbebddcabcdccecebabbeedaaadeabbddaacbaaaeceaebddcecbedabcbbbedbbccdbeabdbeaacaecceacbdaebbeddccccddcbdbedecabaededeccbbdceeceadccbdaabddacacbeecdbabacbecbeabbeeebbaaddcacecedbaaaccbaabdbcbebbaaebabbdaebbceccbeaabcdcdbcebdebedaeacbdeeeccabbceebaaabadedecbdaedddaadcbcaddbbcbcaacddcbdebacadccabcddcaabaacddaebabbaeaaebbdddaadecbcddbcecdcdcccceecebcccdebdeeacebaeabdaddcdcccaadeaccbbedcabadbbceedaeeebaaaddcbdcaaebddebbedeeacabbcbeeeaadebccabadbcaceddcbdecdedacedbedceebecbaaabebbabccdaccbabcabedeacecabebbaccbabdbbcebecaecdddbbeceaebbdbaacbdcedaaedeedebebecbbbaebeebaadeeccbacabdedcabdcdbdbbdebdaecbdccbaeaceccddbeecaeebdccbcdbdabcacadbdebbbdebdbdeedebceeeddebbbadcacacccbbadabeaaeabbccbcaaeacbbcceacebeccbaaeeaceaddedbeeeaadbbacabeaaceebcdaadeddcceedcdeaebaeadaadcbdeccbabdbebbddaacecceeacbcbeddcdacecbdedcbcaadbbbdadabbbcabaddaaeedcdbcbbbbcaeabcbbcbbadcebeecbdacaeddcaeaeeedcbaaccceddabeabbebcabebdbebbedbceabbaceacabbecbbeadedeaebaccebdcabcdebcccedcdcccecbaeecdcadccbbbdacdeaccadcdcdbababdadddbaacbdadddcaacaedebabdeacedecaadecabaaabacedaeddecabbdceabeeadacaeaeacededbddbadbddadcdeaedbecdbebdcadbdeeecdeecaedcacaebdbdbcdedbaceeccbbdbddbdebdebeaabdacedadbdacdbdaadabedcccedcdbebaaaabcccdabbdcdeaaacacaaecabcdecbebcccabaabcaedbaeaecebaddeaacccaeedcbebedcedebcbbacaaacdceabdddccedaeceaddedcddbbeeddbcbadeebaceaeecabaebdeabbccadadbebbbcabbeadeebeebcccbacaceaaedbecacadcdbdcdccbbbceabaaacdcbeecdaabaccdccaabdbbaeeececbadccdaabcbdbbabacbdcbdabeadcdadeceeadaededcaebadeabebbbecdaeadabbdceeedeecabdadedbaeadcccacdeaaaeaecaedabdaeabbcaeaedbdaaccdaacabaecaecabecdedceebbadadacabecaabababbdddabacaedbabeecbcddbececebdadbdaabbcbcecabbcceccbaccdbaadcedbaeeaecbbdadbcebbaaabdcaeedeccaddbaeceaaecbbeccebabcdaaacdecddbedbbecabeeddabcccecaaccaecccdeceddbdbaacaceacaebabdbdebcdbaacaabadceddcabaccdcaeceaeabdeeccadbbabbebabcdaaeeedeeaadbcbebddeecbbecebbdacaadcccdcdcdbaacebbabecabeadbecbdecdbbadccaaceeabccdbccbdbdcebddcecbababbbadebadabcebeeeeaedcdbeeddecedcaeeddcbacacdececcbecaaebcaeaacbdeabedadadaddddaeebbedededbbdebabdeeaebcebeddddeabdeecedcdbbcadbededcbeadebdcaaabebccccbbcbedaadaececbbcddaaacaaccedddeabedbdcddaaaccdecbebdacceecdeaeaadccbbdebecdebdaeedadeadbbcaaadeaeeaedadbdcbebdaabaeccadedaadaaebcdbebcbbabbbedbeedbdeedceacbadbdacdcdcdbcaedebeceebaddeeeecabaadbdccdbbbaaeddcaddddaabdbbeeabbceacdaecdadddadceccdceaeddacddceddedacdcccbdaeedbdcabcacdceedbbbecbdedacbeadabbcadccdcaceabaddedbdddcbccbbcbdedabcddacdedbacceededccdaebdebaadbbeecdcbdbdedbbaadabbdcdcaeccabaebebbbbadeabdecacbbebbadccbcbaddbccdeecabbcdaaebdaeadecbabddaceaabaecbecaaaadeccdaaecacbadaceedbeeaceaceedabadcadeaeadceaebdaaadceaddeacccddadcbdacbbaebbdbcadcdeadaecddcccebbddaacededaadccaedabecaaeaeaeacddaebdebdedbddcbbdeeedeeceacccebdcbaebcddeceedcecaccdcceddacbcdaeebdacbeeaaddeaddaaabebacbbbeceedabacccecacbdebdcdeaeaadacacddddadeaccbcdcedcdbcbeabaadacaaeceaadbadbccbebecdabeebcdcbedeadbdcdddbdecbbcacaedcadbbdaedcbebdbdaeadeaeabeaeacaabcbeeecbabbacbaacddaecceebebdebbdecedcdbcaabddabdccadaedbaabcedaaacabdcbccddbddcdddadadbbdcbdebccccbccbaebcedcebeadbadecadbedbeecddaecebeccbbeacdadcbeacadddeaaeddaaccedddeadcaaadebabbeceecceadaaebeaebcbddddcedddbdecebcacdeeebcbabdcbddccdcaeabedbaeaabddbbaedcdabaedaeabecbdccaddcadeeabddbeceeeabebaaceacccacbbebbadebbcddbebccaadbbccaabcdbacaacbabbeebaeddeabcbccaacbedcceaeeadcabaeadceaeaabaeccecccbeaedcadebbdadcebeaeeccbcabcaecbbbaedaabcaadabbababdeedcbddcdccecbebcbedabaadacebaccbaadedccebedcabbbeecbcbdcadebcbcbdcacaaabecdccbbddbcdbcacaccbcadbaedbbacaadeccddcaadaaebdceadeeaceacccaeecdbedeeddabdacabdeeebeeeaaabaecaaecdeedbebcbeedeaadccdeaaeecdaccceacbbceeabbeaaedcaccedabcbdebaabdaccebdbaebabcbedcddeecccacecbdbaacdddbaebabbdcdbcaaadaceccaabdebcdccededecdccceabaabcebddcddbbbacacdabebbdbecadcecdcedeceadbaebdcdbdadebebddebbceaaaddadcecdddcacdcbdcaddcabdacaedbdbaacaadadcaceeaacdbeadecbdebeaadceeccbecedcadabdaddaccedacbeeadbcbdbdcbeacccbddabeaebdadacbccdcbadacdbdbccaddbedbeaaacdaecebcbbcaeacacaabbbebdbcdbeecdaddcdbeecabdebdeacccabbaabbcceeaecceccdabdaaddedcedbcaecdabaccbecdeadccaacbbabccaccbadebdcbdddabedeecacdcdaeaaccccadbebdddcddaeadedeabddbaacedaaeeebebcbcbcabdeeaacbdbeaedeeeabadbcaaeebbadceacacaeaeeedeaeeeacebedacaccacaeddadbbecaaebdbcbdececdceedeeeadbbaceecaccadadaaddeaaccdacbeddccdabccaabbcbebcbccebccadcedcbdbddcaaaeddeaadaedabddacccccecccebdccbbcdaddeeaedeeedaaedabacaabbeaeabcdbcbbeacacaaabcaadbaeebdbadaeadccdaddacbdbbcebdeabaababebacdbdcbbebddddbeddebddcecceacccdcecebadcabdddccebaecddaacacdcadedadeadeecceeaaceccccccdedaddcbacedeecbbedceeacbdceaaabbcbdacbabcdadcbbdedacbabdcdadacedaceaeddaadeddceeeeaacedeebbeeccededebbeeadecccbcaebccddbabceecbbeeabccbeeaaabaecaddbadeaeccebcecceecececeebabecadcbededaddaeedacbebadedadcdadcaeaeadcadcbbcbdadbaadecdddcccabaddaeceaebacbbbecdbbcbbdabbcaadaeebaecbdddebbcbdecdadddabebaeeebebeeacabcdaacedbceaaeceeccaeededccbedcbdbdaccecaecccdbadeaedeecdceebddcedbaaccaddedaabaecacecbcacaebdcbeaccbccdaedaeccacdaadaeebeebcaccbaaebccbaacddeebaeedcdeaedcceaeaaddededbeaaaaedcbadabeeaebeeeaeadabcddaaabddddabdedadbebebedbbcebdeadceddacdccbbeabdbbbadadddddeaaeeeabbccabcbccabbadedddedbaeacdeebdeebaeabecddccccbdedbbcdcbbededccbecdaabceedcceeeacaddcbbebbaebdceedbeaecbbcacaaebcedebeeeeabcecbbabdacbccceacbcebebdddabcebabbaceddbcedeadbddacaeebabbbdebabccaeacdcedabacdedacaedbebecbccbbcabdccecdbbeeeecddeadcacdebebbeebebdeeebacbaaeabebbebdaecaaabdbeddadbbebbaeeccebbdbaaccbaebdedcecbeedbbcbaaaeaabccbdedcaebbbdadeeebcdecaceaabadbeacedaabeddaedeaceebedddbbececeedcecccadcbadccdacacebaeeedcddbdcbdbdedebbcecebabddceacceaebcacbaeddaceceeededbdcbacddacdedddbaeaabaedbabcacdebbdbbaeaedabcbbcaeaeeccddcaccbcdeeaaaddeaaabbaceecebeeadbeedccdbbeedecdecabdbcaacecbbaadbbebbbaccbdbbaaaeeaedbdebdbaebecacbddbbdbaacceaceeacdbdbaadcddaaeadecebadebddbbebaabcaeebccdcecedadbbbbddeedceaecccdcabcaeddabdabaebaaccbededaaebeedbcaabecdadbbaaabdddbaedcbdebcbbbdbcddcbcbbebdaaaaaacccdbcaadededbcaaebcdeecaeccadbabacdceacedcdbbebddceeabedbaeadeeebcdcabddacdedabedacbaeabcadedadccceaeadeabeddbbbdcebdaccbbcebbcebecadddecadabedbbceeecbaeaceeeaacebdbeeaedadbacbaebbaaebdbacedccbbbaddbcecadcacecacdeceebccbaaeddbadeddccebbbeadeadbbaddadcabcddbaabadaaddbbaeaaaaaebbaccddeacdbaaedaadaddaaaaebacebabdddeeeaeccadcabadccedcbbbbbcccbeecbbbacbbdeaeaaddeebeddadcdeeaccdbdbcebbebbacccaccbccbaeabebecbcccbedaddcbacedcbdeaaadbcdecacaaedeecbbdbcedbcacceaaababddecedbdabbceadaabaecaacbdbeecbdbdbbdebaccbdabecdccaeecaeebadcdedbcddbddecdbebcacdeddbabecabbdebaccddbecceedabacbbcaeccaacaabbeadebdeaccaddbcbcbacecedcceeaaeaceedcdcccdbbbaadeeccadbcceaacdeebddbeecaaaaeeabdedeaaeccdbeacceedcbdadbbabbccddebcaaacdaaeebaebaaabdabcddddcdccccadcbcbdaaadeedbeaaebcdebdcbecdcabeeddbecbbcbbccadeabbcdaecbabbababecddbaccaabdeddecdbbebacdbeabbcaedecbadccaedabeaabcabdedbcceaeeebecebcaceaeaacebaabbebaeeeaddabeebabdacdbcabddaacbaccecdaebaaccdbebddbbeabeddcacdccbaeabebbaebecaacdceacadcddcbbdeddedebeaeedceddbaabacdeeaabaedabbbbdebddabebbbbbaecaeaadaddbdbbbedbceeeeeadbedccdadeacedaceaeedbbaaaceacddcededbdcdccadddabedcdcdaeadbeddbcaababebbaccabaeecddeabeedbcbdbeacbabaaccceedabcbcbadbaccbdcccecbedbbdeddbdbddaadbcdcaabededbdbcbedcaeabacbbadabbacccdecdadbccbacdbabdadadcbdbcdedccbacbdbceedbdddbdeedbeababadbecacaddbdccaadbbcaadeccdbaebcecdeddbbacdbdceeeebaaaaabaaaedddabcddeaccbcaaeddedbcbeedddedbcdddbadaabaeebacbbcbddcceaeaadbacedbdbacabcbecadabcaaceaecdeeaaadbddecacddaaddcbbbbceadccebcbebaabcdeabbbeceacabbdaecedbdbdaabcacbaebcaabdabbccaeaeeabdedeeacbcbeccceabebddacaecadddabcadebedbdecbdbbccebceeeabdabaabadbeddbebebeddbebcaebececbdeecbcdabadddcbeebebcbbbebadabcdddddeecedbbecbbbbeebecdaccacedabdbbcdbceacabedeacedaaeaacadcedbbbbbbcdaabeebdbbaaabcabbdaebbaaeeaaaeccabaedcecbbddadbddadaabbaccebdbcbacdaaebccdadecabdbdababdcddadddeddcbaedbaedadcecbdbdcdbaaabebebbdeedcddbececaacbcadeaeeaccbaecadaececdcdaadaabaaebeddadbaddbcceeeaaeebcbbeeacbaeeacbbaedabbaaadccbcdabbebeccbcbebbdeecaddadeadbaceabcdccaeabdabadbebdcadbedcbdabacaaebcacbeeabdeeddbcdcebbbdadcaececadbbdeeaebbcddabccdaaddbebbaeecdddadebaeabecdbdacbecccdbebecccbdadebeaabedccdbbbacbaedbddeebeeeacaddacaaacaaadabcadeacdadddbdaabaabaaeedebccbeeccecaabadbcaecbbdbbaebedcccaaebccdbabbbaaddeaccbccdccdecabddcbecbccccdbdddbebbaebadacccadacacadddceebebddbcbbaeecdebcceacbcddaddaeadcaaaeeedcceeaacadcebeccdaaaacadddabdddbbddccedbebceeabdbbbebebddedecbbedebeaaceddcddadabcaedaeedbcacbbabbbaacabeaaddebbebebaccccadddebcdcddccedeaaedbbedaccdbacbeaccdbaabedabbdeacdbcebcbebedbadbbbbbaeaeeaaabcbddaaaadbdbaddbdcbaedcddcedabdedebcccaaedeebbdeeabdddbbdcececebccdbaaaddaeaacddcdaeeecbcabbdcabbbaaebbbdeabdebedadeedceaebbaacdadbbaadbcadcebccdcbcbddeedbebbbbeabccdbdccccedabbceabdccbecbcdcebcdeeeeaccebccbaaddeddbbcbcbcbbacbbecdadbbcecdcdbccdcdadbbdaceadcacceacddcdaedcaacdbbdcccbabdacecdebeeceaeabdceaadacbcdcadacdbcabccaddccebdccaeecbdbceeccdbacacbebeebcacadeaaabdbdedabbecddcaedaddcecaeaeaedaedeeeabbdbaaeaddddaccaabdeacabdbbebbbdcdbdbcdcdbdddcbcdbbbdcbaccaaaaebdbecadaeaaccbddeedcbbbcadacbdccbaddcacacedbbdbedceabbebeaebdaddeaacdebbaaabbccaedadaaecdeabeddccbacadeccddeabbebacdcdbccdbdeebebcbedbdabdeccbcdbdbbcaaeeedbcdcceeeedbecdedacaaeeddacbacdeeebacbbaeedaceebdabcbadaeeeadededddedabbbdebcdcdabbeeebeacdccbbbacdcaecbabaecebbaddadeeebadabdcedaccecbbedabcdddbaeeadcecbbdcbeaacbedcacabaaaebddeebbbedeccbceeeecbccaacabbeeeadbabdbabbddacaaaeaaeabddbbbabcceddceebebaaceecdaeedddadbcdcaeecbabbabbbdbaabceecceeeddecccccbbeecaeacbdcaeacdeaddacbaecebedebdbabebebcbaededbeddececaddbdeaeccccaabadbaaebdbaabaecdaaaaecedadacdaacbeeaeadbdbadecabbccaccbeecdbdeabceecceccaddeeaaadcedbabbcdccdcdbabbcdedceceddeecbbaccbbbebcccbbbbbcadebadbaaceaabceabaadceeeceacbdecbabbeddbdebebcbcbccaeebebcecaddbcbdbabeacaaddbacadabccdacbebbadaabedbebeecbaeedbadaeecdaaecccbcddbdeaaecacbabbcdaceacddedadbebdadedcddddabdacaeaebdceceadbeeaecaccdbabbdbacbbaeeabcaccddececceadbbdeaceddaaaecbadecddcadeddbcaebbdedacaccdbcccedcaecdebaecabedacceddbccebeadecddbdbbdadedabcadcaeabccdaecdaadabcbdcbbbdebdadbcdceeddebeabdacaabddeacccbdceddcceabbcebbccabebcdaebbdeaaadccabcecbebbcbeedcdaececdceecbaddbaebddaaccceadcdedbcecdcabbbecbceeaeabbcdcdebedeacdcabccaaeecabbdccbbedecbdadabcaeddacdacbcdcbcaddbceabcaabcabaecaccecccdbdcbdeeaeeebebeddddbcdddaebbbccdcbddeacebabeeaeabbddbcabedcbddbaddeacdddeadcaecaacaaebcbadbceddbdbebdbdbbdecdeeadacddadcacaccbcecbddbedcceaaaddabadaabecedcacebccbaedbeceeeaceadbdebbbebbdcceebadedeaecebedcdccababbeeaeecedaddaabdcbaeeebdabdcdeeabecdaaaeeadcedceebabeccbaecaccbddcdbdbcadabadbeaecabdcadcdebaecdaaabdccdddcadcdeebecbccedebddecdeaabdbbaceedbbaaaebeaeacedceaddeabaceddbcdcecaaaccacbdcccbcbbbcddccadeecccdbcdeaadbbcabcddeeedeaabcbaccabeccbddbabbebadcceecedbbcdccbbabdabcbcbcaeabececcebadcdeccdbedeccdacebdeaaadbbbdaeaecebebcadaebaccadadbddbbaecaabcaaeaeeacebcbabaacdcddaacbeeaabcedeaedceaeacabbdbbceadbaccacbbeaddcaccdaaccacebceadabdaabaaadeeaeaeddeaeceeadedaccdbadaabbeacdeeacdbaabdaddbcbccdabecebdaebeceacccdadcbddbbcecaceacdcadbceebbadaebadedaebeaaddbaccedabebcbddabbeecbdabcaebcbeebaceaeeabddeabeaabbdbbebcbeccbadcbcebaabaeeebbaceabcdaadbdedcecbceceddeabddbcacaadebdcdbcbdabdacacebdedabddcebeddedceeeeddeaabececedcaabbbebdeadaabbacbdaeadeadccadeaeeddcecdcbdcaeddaabaadeddabaecededdcaadaaeaebcbdabdeadeacbdceeddeedddeecccceeedcaeeeeddcdddadbdabbaeceeddceaddbcabddbcdbacbcddcebbbcadccaaabccddeacceaabecdecaebeacdebbdbedbdcadeeedabdeebeabeddecdbecdaceedebdbeeacaaaacdcbeccebddbcccbdbdbdebeddcdbbaabcbbedcaebaeeadcacebeddadeeddecdaabceeaceadbdecadbbabaaecddcabddecddeaeacbbbdedecadbabaabeaccbababcdbddbbceebdaedcbabbcdeebbeaccebaabebeeeeeacdccbadedbbbdeadedbbececaedacdceaacbccebcebeacaaebeddeadecdbaaeaecbaaedcacccdaeecdeeadbacbcaabeddeaedebddacbabedbebddadddecedaccacbaedbcedbedacccaadbaadbecaebeccbdabdeabeabecaaceaabbccadcdbdccddadcdcdbcabbcbeadedcddcaacadeededbedbdbbecaeceeeabacdedcaddecebbbeabbdbbeccaaebaacdaaeecdeadaebeabcdeddacddcddddccdaddbdbeadddeabbddbbddaadebeedcedaceceebcddcdadaeadacdaedacbcabadbacdabceeeaedcadcaacbdccaebbaeeeadbebedbbcdaeabdbeabeccaecbeaddabedaadcdcbadbbbceebaaacdeadcabbceecdaadbcadaededbbbacdbeacaceacddebeedbdbbbadadbdbdbedcdaababbadcbbcdebecddccdaeabeccbbcbeeeaeccdebaebdddaeedcdcabeeaecdabbddcaaebcadedecbeebbbbeabbddcabdbbeadededbabecbebedebaedecabcaedbbadccdddccaeceadceaadeecccdbbcaebcbabcaeeaddbceddecbaeeebdbeaccdacadaecbdabdedadceadadcadcbdcebebecaadaaededbeeaeeeacbcecdeeebcbaeeabbbecedacebbeaadeaecbcbbdcaddcddeddeebdcaabbbecacbbcaacdbacdcdececdcccecedecccddbddedeabdeecbacbeeaccadbcecceeeaeacdceeeacbdbddadaceaabeabeccecabaebeebdebdecbedabbdababebeedabeebdbddcbcccbebaedcdaeaaadbaeadcdbecebedbdeaaaddddebdeaaaacccedbaedeccbdbedbbdbbcdcccaeadddbdceabcecabbdaaebcebaebeeecccaeaabaecebbeeedacbddbddeaacbbcedbedadaadbeddbdceadddacdbcccbdeaccdbabddbdbdceeececeabedcdaadcbaebaccccedcbdbdeacabddeacaeedecdcddcabecbcadddebeaccadebedecaacdbdbabedadceaaccedbeacccbbaaebcdbdadadcebcbdecbedbabcbeeddbbedcdecaaecebaeeaeedaeaeaddadccddbcacbdcccbebdaeededaaeceaaebdceecacbeaedbcadebedabaccceebebcdbcbdacdebceceacdaeedccecbbbdecabbbbeebcccbeaeaaacddebacaaebbcabcaaecedebabbedadbcaadadeeeecaceedccdacebeaddccbbddeeabdeabedaadaedaebabadabddbacdbedaebdacdceedbcbecebeccbeedbabdcebebeeaacbebecebbbcececcecedebdaecbaecdcaaaabcaeebcecdcdcedbeeecdeebbcdabbbeabccdddebaeeceddeccaebbceeacacdcadabbccacabeaaecaeecdcdaccbbbdeedbebcaaebabdebdddeeeedddeadccddeeecbadcbccccdcceaaeedbbabeaddecaebbdbbeadbbabbadacaeedeabbeadbdbbeeddeadeabbeabcbeacbecaccdcaeabacedbbadaaecbaeadddacddabaedecddddaebcbaaeddedddddcaedeadedeaaeeaedcdbaaecabcbccaebbddeddabaebabbaeccebaeabbadaddaacbdcdbeebbcddededeebedacbeadcacecaeaecdecabbdabbbedbbdcadaecddebacdabdbebdeeaeecdaccdbacdedcecdcbadbdddddabeaceccecadedbdadeacadbeeddbbbecdadaabadedcdcbadcdeaebaeccacebb